nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
| search_path
stringlengths 505
16.8k
| rating
float64 0
0.99
| search_type
stringclasses 5
values | heuristic
stringclasses 2
values |
|---|---|---|---|---|---|---|---|---|
[
48,
11,
54,
1
] | 18 |
[
"48-11=37",
"54+1=55",
"55-37=18"
] |
Current State: 18:[48, 11, 54, 1], Operations: []
Exploring Operation: 48-11=37, Resulting Numbers: [54, 1, 37]
Generated Node #2: [54, 1, 37] from Operation: 48-11=37
Current State: 18:[54, 1, 37], Operations: ['48-11=37']
Exploring Operation: 54+1=55, Resulting Numbers: [37, 55]
Generated Node #3: [37, 55] from Operation: 54+1=55
Current State: 18:[37, 55], Operations: ['48-11=37', '54+1=55']
Exploring Operation: 55-37=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
Current State: 18:[48, 11, 54, 1], Operations: []
Exploring Operation: 48-11=37, Resulting Numbers: [54, 1, 37]
Generated Node #0,0: 18:[54, 1, 37] Operation: 48-11=37
Exploring Operation: 54-11=43, Resulting Numbers: [48, 1, 43]
Generated Node #0,1: 18:[48, 1, 43] Operation: 54-11=43
Exploring Operation: 54-48=6, Resulting Numbers: [11, 1, 6]
Generated Node #0,2: 18:[11, 1, 6] Operation: 54-48=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 18:[11, 1, 6], Operations: ['54-48=6']
Exploring Operation: 11/1=11, Resulting Numbers: [6, 11]
Generated Node #0,2,0: 18:[6, 11] Operation: 11/1=11
Exploring Operation: 11-1=10, Resulting Numbers: [6, 10]
Generated Node #0,2,1: 18:[6, 10] Operation: 11-1=10
Exploring Operation: 11*1=11, Resulting Numbers: [6, 11]
Generated Node #0,2,2: 18:[6, 11] Operation: 11*1=11
Moving to Node #0,2,1
Current State: 18:[6, 10], Operations: ['54-48=6', '11-1=10']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,18 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,18 unequal: No Solution
Moving to Node #0,2,0
Current State: 18:[6, 11], Operations: ['54-48=6', '11/1=11']
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,18 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Moving to Node #0,2,2
Current State: 18:[6, 11], Operations: ['54-48=6', '11*1=11']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[54, 1, 37], Operations: ['48-11=37']
Exploring Operation: 54-1=53, Resulting Numbers: [37, 53]
Generated Node #0,0,0: 18:[37, 53] Operation: 54-1=53
Exploring Operation: 54-37=17, Resulting Numbers: [1, 17]
Generated Node #0,0,1: 18:[1, 17] Operation: 54-37=17
Exploring Operation: 37-1=36, Resulting Numbers: [54, 36]
Generated Node #0,0,2: 18:[54, 36] Operation: 37-1=36
Moving to Node #0,0,1
Current State: 18:[1, 17], Operations: ['48-11=37', '54-37=17']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[48, 11, 54, 1], Operations: []
Exploring Operation: 48-11=37, Resulting Numbers: [54, 1, 37]
Generated Node #0,0: 18:[54, 1, 37] Operation: 48-11=37
Moving to Node #0,0
Current State: 18:[54, 1, 37], Operations: ['48-11=37']
Exploring Operation: 54-37=17, Resulting Numbers: [1, 17]
Generated Node #0,0,1: 18:[1, 17] Operation: 54-37=17
Moving to Node #0,0,1
Current State: 18:[1, 17], Operations: ['48-11=37', '54-37=17']
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 |
hs_3
|
sum_heuristic
|
[
24,
53,
11,
20
] | 13 |
[
"24+53=77",
"77/11=7",
"20-7=13"
] |
Current State: 13:[24, 53, 11, 20], Operations: []
Exploring Operation: 24+53=77, Resulting Numbers: [11, 20, 77]
Generated Node #2: [11, 20, 77] from Operation: 24+53=77
Current State: 13:[11, 20, 77], Operations: ['24+53=77']
Exploring Operation: 77/11=7, Resulting Numbers: [20, 7]
Generated Node #3: [20, 7] from Operation: 77/11=7
Current State: 13:[20, 7], Operations: ['24+53=77', '77/11=7']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
Current State: 13:[24, 53, 11, 20], Operations: []
Exploring Operation: 24-11=13, Resulting Numbers: [53, 20, 13]
Generated Node #0,0: 13:[53, 20, 13] Operation: 24-11=13
Exploring Operation: 53-24=29, Resulting Numbers: [11, 20, 29]
Generated Node #0,1: 13:[11, 20, 29] Operation: 53-24=29
Exploring Operation: 53-20=33, Resulting Numbers: [24, 11, 33]
Generated Node #0,2: 13:[24, 11, 33] Operation: 53-20=33
Exploring Operation: 53-11=42, Resulting Numbers: [24, 20, 42]
Generated Node #0,3: 13:[24, 20, 42] Operation: 53-11=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[11, 20, 29], Operations: ['53-24=29']
Exploring Operation: 29-20=9, Resulting Numbers: [11, 9]
Generated Node #0,1,0: 13:[11, 9] Operation: 29-20=9
Exploring Operation: 20-11=9, Resulting Numbers: [29, 9]
Generated Node #0,1,1: 13:[29, 9] Operation: 20-11=9
Exploring Operation: 11+20=31, Resulting Numbers: [29, 31]
Generated Node #0,1,2: 13:[29, 31] Operation: 11+20=31
Exploring Operation: 29-11=18, Resulting Numbers: [20, 18]
Generated Node #0,1,3: 13:[20, 18] Operation: 29-11=18
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 13:[11, 9], Operations: ['53-24=29', '29-20=9']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,13 unequal: No Solution
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 13:[20, 18], Operations: ['53-24=29', '29-11=18']
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,13 unequal: No Solution
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 13:[29, 9], Operations: ['53-24=29', '20-11=9']
Exploring Operation: 29*9=261, Resulting Numbers: [261]
261,13 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 13:[29, 31], Operations: ['53-24=29', '11+20=31']
Exploring Operation: 29*31=899, Resulting Numbers: [899]
899,13 unequal: No Solution
Exploring Operation: 29+31=60, Resulting Numbers: [60]
60,13 unequal: No Solution
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[24, 11, 33], Operations: ['53-20=33']
Exploring Operation: 24-11=13, Resulting Numbers: [33, 13]
Generated Node #0,2,0: 13:[33, 13] Operation: 24-11=13
Exploring Operation: 33-11=22, Resulting Numbers: [24, 22]
Generated Node #0,2,1: 13:[24, 22] Operation: 33-11=22
Exploring Operation: 33/11=3, Resulting Numbers: [24, 3]
Generated Node #0,2,2: 13:[24, 3] Operation: 33/11=3
Exploring Operation: 33-24=9, Resulting Numbers: [11, 9]
Generated Node #0,2,3: 13:[11, 9] Operation: 33-24=9
Moving to Node #0,2,3
Current State: 13:[11, 9], Operations: ['53-20=33', '33-24=9']
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[24, 22], Operations: ['53-20=33', '33-11=22']
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,13 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[33, 13], Operations: ['53-20=33', '24-11=13']
Exploring Operation: 33*13=429, Resulting Numbers: [429]
429,13 unequal: No Solution
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 33+13=46, Resulting Numbers: [46]
46,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[24, 3], Operations: ['53-20=33', '33/11=3']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,13 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,13 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[53, 20, 13], Operations: ['24-11=13']
Exploring Operation: 53-13=40, Resulting Numbers: [20, 40]
Generated Node #0,0,0: 13:[20, 40] Operation: 53-13=40
Exploring Operation: 20-13=7, Resulting Numbers: [53, 7]
Generated Node #0,0,1: 13:[53, 7] Operation: 20-13=7
Exploring Operation: 53-20=33, Resulting Numbers: [13, 33]
Generated Node #0,0,2: 13:[13, 33] Operation: 53-20=33
Exploring Operation: 53+20=73, Resulting Numbers: [13, 73]
Generated Node #0,0,3: 13:[13, 73] Operation: 53+20=73
Moving to Node #0,0,2
Current State: 13:[13, 33], Operations: ['24-11=13', '53-20=33']
Exploring Operation: 13+33=46, Resulting Numbers: [46]
46,13 unequal: No Solution
Exploring Operation: 13*33=429, Resulting Numbers: [429]
429,13 unequal: No Solution
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[20, 40], Operations: ['24-11=13', '53-13=40']
Exploring Operation: 20*40=800, Resulting Numbers: [800]
800,13 unequal: No Solution
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 40/20=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 20+40=60, Resulting Numbers: [60]
60,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[53, 7], Operations: ['24-11=13', '20-13=7']
Exploring Operation: 53*7=371, Resulting Numbers: [371]
371,13 unequal: No Solution
Exploring Operation: 53+7=60, Resulting Numbers: [60]
60,13 unequal: No Solution
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,13 unequal: No Solution
Moving to Node #0,0,3
Current State: 13:[13, 73], Operations: ['24-11=13', '53+20=73']
Exploring Operation: 13+73=86, Resulting Numbers: [86]
86,13 unequal: No Solution
Exploring Operation: 13*73=949, Resulting Numbers: [949]
949,13 unequal: No Solution
Exploring Operation: 73-13=60, Resulting Numbers: [60]
60,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 13:[24, 20, 42], Operations: ['53-11=42']
Exploring Operation: 24-20=4, Resulting Numbers: [42, 4]
Generated Node #0,3,0: 13:[42, 4] Operation: 24-20=4
Exploring Operation: 24+20=44, Resulting Numbers: [42, 44]
Generated Node #0,3,1: 13:[42, 44] Operation: 24+20=44
Exploring Operation: 42-20=22, Resulting Numbers: [24, 22]
Generated Node #0,3,2: 13:[24, 22] Operation: 42-20=22
Exploring Operation: 42-24=18, Resulting Numbers: [20, 18]
Generated Node #0,3,3: 13:[20, 18] Operation: 42-24=18
Moving to Node #0,3,3
Current State: 13:[20, 18], Operations: ['53-11=42', '42-24=18']
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,13 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,13 unequal: No Solution
Moving to Node #0,3,2
Current State: 13:[24, 22], Operations: ['53-11=42', '42-20=22']
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,13 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,13 unequal: No Solution
Moving to Node #0,3,0
Current State: 13:[42, 4], Operations: ['53-11=42', '24-20=4']
Exploring Operation: 42+4=46, Resulting Numbers: [46]
46,13 unequal: No Solution
Exploring Operation: 42*4=168, Resulting Numbers: [168]
168,13 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,13 unequal: No Solution
Moving to Node #0,3,1
Current State: 13:[42, 44], Operations: ['53-11=42', '24+20=44']
Exploring Operation: 42*44=1848, Resulting Numbers: [1848]
1848,13 unequal: No Solution
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
36,
54,
11,
46
] | 33 |
[
"36+54=90",
"11+46=57",
"90-57=33"
] |
Current State: 33:[36, 54, 11, 46], Operations: []
Exploring Operation: 36+54=90, Resulting Numbers: [11, 46, 90]
Generated Node #2: [11, 46, 90] from Operation: 36+54=90
Current State: 33:[11, 46, 90], Operations: ['36+54=90']
Exploring Operation: 11+46=57, Resulting Numbers: [90, 57]
Generated Node #3: [90, 57] from Operation: 11+46=57
Current State: 33:[90, 57], Operations: ['36+54=90', '11+46=57']
Exploring Operation: 90-57=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
Current State: 33:[36, 54, 11, 46], Operations: []
Exploring Operation: 54-46=8, Resulting Numbers: [36, 11, 8]
Generated Node #0,0: 33:[36, 11, 8] Operation: 54-46=8
Exploring Operation: 54-36=18, Resulting Numbers: [11, 46, 18]
Generated Node #0,1: 33:[11, 46, 18] Operation: 54-36=18
Exploring Operation: 46-36=10, Resulting Numbers: [54, 11, 10]
Generated Node #0,2: 33:[54, 11, 10] Operation: 46-36=10
Exploring Operation: 54-11=43, Resulting Numbers: [36, 46, 43]
Generated Node #0,3: 33:[36, 46, 43] Operation: 54-11=43
Moving to Node #0,0
Current State: 33:[36, 11, 8], Operations: ['54-46=8']
Exploring Operation: 36+8=44, Resulting Numbers: [11, 44]
Generated Node #0,0,0: 33:[11, 44] Operation: 36+8=44
Exploring Operation: 36-8=28, Resulting Numbers: [11, 28]
Generated Node #0,0,1: 33:[11, 28] Operation: 36-8=28
Exploring Operation: 36-11=25, Resulting Numbers: [8, 25]
Generated Node #0,0,2: 33:[8, 25] Operation: 36-11=25
Exploring Operation: 11-8=3, Resulting Numbers: [36, 3]
Generated Node #0,0,3: 33:[36, 3] Operation: 11-8=3
Moving to Node #0,1
Current State: 33:[11, 46, 18], Operations: ['54-36=18']
Exploring Operation: 18-11=7, Resulting Numbers: [46, 7]
Generated Node #0,1,0: 33:[46, 7] Operation: 18-11=7
Exploring Operation: 11+18=29, Resulting Numbers: [46, 29]
Generated Node #0,1,1: 33:[46, 29] Operation: 11+18=29
Exploring Operation: 46-11=35, Resulting Numbers: [18, 35]
Generated Node #0,1,2: 33:[18, 35] Operation: 46-11=35
Exploring Operation: 46-18=28, Resulting Numbers: [11, 28]
Generated Node #0,1,3: 33:[11, 28] Operation: 46-18=28
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 33:[11, 28], Operations: ['54-36=18', '46-18=28']
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 33:[18, 35], Operations: ['54-36=18', '46-11=35']
Exploring Operation: 18+35=53, Resulting Numbers: [53]
53,33 unequal: No Solution
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Exploring Operation: 18*35=630, Resulting Numbers: [630]
630,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[46, 7], Operations: ['54-36=18', '18-11=7']
Exploring Operation: 46*7=322, Resulting Numbers: [322]
322,33 unequal: No Solution
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 46+7=53, Resulting Numbers: [53]
53,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 33:[46, 29], Operations: ['54-36=18', '11+18=29']
Exploring Operation: 46*29=1334, Resulting Numbers: [1334]
1334,33 unequal: No Solution
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Exploring Operation: 46+29=75, Resulting Numbers: [75]
75,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 33:[54, 11, 10], Operations: ['46-36=10']
Exploring Operation: 54-10=44, Resulting Numbers: [11, 44]
Generated Node #0,2,0: 33:[11, 44] Operation: 54-10=44
Exploring Operation: 54+10=64, Resulting Numbers: [11, 64]
Generated Node #0,2,1: 33:[11, 64] Operation: 54+10=64
Exploring Operation: 54-11=43, Resulting Numbers: [10, 43]
Generated Node #0,2,2: 33:[10, 43] Operation: 54-11=43
Exploring Operation: 11-10=1, Resulting Numbers: [54, 1]
Generated Node #0,2,3: 33:[54, 1] Operation: 11-10=1
Moving to Node #0,3
Current State: 33:[36, 46, 43], Operations: ['54-11=43']
Exploring Operation: 43-36=7, Resulting Numbers: [46, 7]
Generated Node #0,3,0: 33:[46, 7] Operation: 43-36=7
Exploring Operation: 36+46=82, Resulting Numbers: [43, 82]
Generated Node #0,3,1: 33:[43, 82] Operation: 36+46=82
Exploring Operation: 46-36=10, Resulting Numbers: [43, 10]
Generated Node #0,3,2: 33:[43, 10] Operation: 46-36=10
Exploring Operation: 46-43=3, Resulting Numbers: [36, 3]
Generated Node #0,3,3: 33:[36, 3] Operation: 46-43=3
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 33:[36, 3], Operations: ['54-11=43', '46-43=3']
Exploring Operation: 36*3=108, Resulting Numbers: [108]
108,33 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[36, 54, 11, 46], Operations: []
Exploring Operation: 54-11=43, Resulting Numbers: [36, 46, 43]
Generated Node #0,3: 33:[36, 46, 43] Operation: 54-11=43
Moving to Node #0,3
Current State: 33:[36, 46, 43], Operations: ['54-11=43']
Exploring Operation: 46-43=3, Resulting Numbers: [36, 3]
Generated Node #0,3,3: 33:[36, 3] Operation: 46-43=3
Moving to Node #0,3,3
Current State: 33:[36, 3], Operations: ['54-11=43', '46-43=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 |
hs_4
|
sum_heuristic
|
[
28,
44,
22,
12
] | 26 |
[
"44-28=16",
"22-12=10",
"16+10=26"
] |
Current State: 26:[28, 44, 22, 12], Operations: []
Exploring Operation: 44-28=16, Resulting Numbers: [22, 12, 16]
Generated Node #2: [22, 12, 16] from Operation: 44-28=16
Current State: 26:[22, 12, 16], Operations: ['44-28=16']
Exploring Operation: 22-12=10, Resulting Numbers: [16, 10]
Generated Node #3: [16, 10] from Operation: 22-12=10
Current State: 26:[16, 10], Operations: ['44-28=16', '22-12=10']
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[28, 44, 22, 12], Operations: []
Exploring Operation: 44-22=22, Resulting Numbers: [28, 12, 22]
Generated Node #0,0: 26:[28, 12, 22] Operation: 44-22=22
Exploring Operation: 44/22=2, Resulting Numbers: [28, 12, 2]
Generated Node #0,1: 26:[28, 12, 2] Operation: 44/22=2
Exploring Operation: 44-28=16, Resulting Numbers: [22, 12, 16]
Generated Node #0,2: 26:[22, 12, 16] Operation: 44-28=16
Exploring Operation: 44-12=32, Resulting Numbers: [28, 22, 32]
Generated Node #0,3: 26:[28, 22, 32] Operation: 44-12=32
Moving to Node #0,1
Current State: 26:[28, 12, 2], Operations: ['44/22=2']
Exploring Operation: 28-2=26, Resulting Numbers: [12, 26]
Generated Node #0,1,0: 26:[12, 26] Operation: 28-2=26
Exploring Operation: 12+2=14, Resulting Numbers: [28, 14]
Generated Node #0,1,1: 26:[28, 14] Operation: 12+2=14
Exploring Operation: 28-12=16, Resulting Numbers: [2, 16]
Generated Node #0,1,2: 26:[2, 16] Operation: 28-12=16
Exploring Operation: 28/2=14, Resulting Numbers: [12, 14]
Generated Node #0,1,3: 26:[12, 14] Operation: 28/2=14
Moving to Node #0,0
Current State: 26:[28, 12, 22], Operations: ['44-22=22']
Exploring Operation: 28-22=6, Resulting Numbers: [12, 6]
Generated Node #0,0,0: 26:[12, 6] Operation: 28-22=6
Exploring Operation: 22-12=10, Resulting Numbers: [28, 10]
Generated Node #0,0,1: 26:[28, 10] Operation: 22-12=10
Exploring Operation: 28-12=16, Resulting Numbers: [22, 16]
Generated Node #0,0,2: 26:[22, 16] Operation: 28-12=16
Exploring Operation: 12+22=34, Resulting Numbers: [28, 34]
Generated Node #0,0,3: 26:[28, 34] Operation: 12+22=34
Moving to Node #0,2
Current State: 26:[22, 12, 16], Operations: ['44-28=16']
Exploring Operation: 12+16=28, Resulting Numbers: [22, 28]
Generated Node #0,2,0: 26:[22, 28] Operation: 12+16=28
Exploring Operation: 22-12=10, Resulting Numbers: [16, 10]
Generated Node #0,2,1: 26:[16, 10] Operation: 22-12=10
Exploring Operation: 22-16=6, Resulting Numbers: [12, 6]
Generated Node #0,2,2: 26:[12, 6] Operation: 22-16=6
Exploring Operation: 16-12=4, Resulting Numbers: [22, 4]
Generated Node #0,2,3: 26:[22, 4] Operation: 16-12=4
Moving to Node #0,3
Current State: 26:[28, 22, 32], Operations: ['44-12=32']
Exploring Operation: 32-28=4, Resulting Numbers: [22, 4]
Generated Node #0,3,0: 26:[22, 4] Operation: 32-28=4
Exploring Operation: 32-22=10, Resulting Numbers: [28, 10]
Generated Node #0,3,1: 26:[28, 10] Operation: 32-22=10
Exploring Operation: 28+22=50, Resulting Numbers: [32, 50]
Generated Node #0,3,2: 26:[32, 50] Operation: 28+22=50
Exploring Operation: 28-22=6, Resulting Numbers: [32, 6]
Generated Node #0,3,3: 26:[32, 6] Operation: 28-22=6
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 26:[28, 10], Operations: ['44-12=32', '32-22=10']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 26:[22, 4], Operations: ['44-12=32', '32-28=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,26 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[28, 44, 22, 12], Operations: []
Exploring Operation: 44-12=32, Resulting Numbers: [28, 22, 32]
Generated Node #0,3: 26:[28, 22, 32] Operation: 44-12=32
Moving to Node #0,3
Current State: 26:[28, 22, 32], Operations: ['44-12=32']
Exploring Operation: 32-28=4, Resulting Numbers: [22, 4]
Generated Node #0,3,0: 26:[22, 4] Operation: 32-28=4
Moving to Node #0,3,0
Current State: 26:[22, 4], Operations: ['44-12=32', '32-28=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 |
hs_4
|
sum_heuristic
|
[
51,
63,
88,
80
] | 91 |
[
"80-63=17",
"51/17=3",
"88+3=91"
] |
Current State: 91:[51, 63, 88, 80], Operations: []
Exploring Operation: 80-63=17, Resulting Numbers: [51, 88, 17]
Generated Node #2: [51, 88, 17] from Operation: 80-63=17
Current State: 91:[51, 88, 17], Operations: ['80-63=17']
Exploring Operation: 51/17=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 51/17=3
Current State: 91:[88, 3], Operations: ['80-63=17', '51/17=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
Current State: 91:[51, 63, 88, 80], Operations: []
Exploring Operation: 51+63=114, Resulting Numbers: [88, 80, 114]
Generated Node #0,0: 91:[88, 80, 114] Operation: 51+63=114
Exploring Operation: 80-63=17, Resulting Numbers: [51, 88, 17]
Generated Node #0,1: 91:[51, 88, 17] Operation: 80-63=17
Exploring Operation: 80-51=29, Resulting Numbers: [63, 88, 29]
Generated Node #0,2: 91:[63, 88, 29] Operation: 80-51=29
Exploring Operation: 63-51=12, Resulting Numbers: [88, 80, 12]
Generated Node #0,3: 91:[88, 80, 12] Operation: 63-51=12
Exploring Operation: 88-63=25, Resulting Numbers: [51, 80, 25]
Generated Node #0,4: 91:[51, 80, 25] Operation: 88-63=25
Start Sub Search at level 1: Moving to Node #0,3
Current State: 91:[88, 80, 12], Operations: ['63-51=12']
Exploring Operation: 80-12=68, Resulting Numbers: [88, 68]
Generated Node #0,3,0: 91:[88, 68] Operation: 80-12=68
Exploring Operation: 88-12=76, Resulting Numbers: [80, 76]
Generated Node #0,3,1: 91:[80, 76] Operation: 88-12=76
Exploring Operation: 88-80=8, Resulting Numbers: [12, 8]
Generated Node #0,3,2: 91:[12, 8] Operation: 88-80=8
Exploring Operation: 80+12=92, Resulting Numbers: [88, 92]
Generated Node #0,3,3: 91:[88, 92] Operation: 80+12=92
Exploring Operation: 88+12=100, Resulting Numbers: [80, 100]
Generated Node #0,3,4: 91:[80, 100] Operation: 88+12=100
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 91:[12, 8], Operations: ['63-51=12', '88-80=8']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 91:[88, 92], Operations: ['63-51=12', '80+12=92']
Exploring Operation: 88*92=8096, Resulting Numbers: [8096]
8096,91 unequal: No Solution
Exploring Operation: 88+92=180, Resulting Numbers: [180]
180,91 unequal: No Solution
Exploring Operation: 92-88=4, Resulting Numbers: [4]
4,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 91:[80, 100], Operations: ['63-51=12', '88+12=100']
Exploring Operation: 80+100=180, Resulting Numbers: [180]
180,91 unequal: No Solution
Exploring Operation: 100-80=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 80*100=8000, Resulting Numbers: [8000]
8000,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 91:[88, 68], Operations: ['63-51=12', '80-12=68']
Exploring Operation: 88*68=5984, Resulting Numbers: [5984]
5984,91 unequal: No Solution
Exploring Operation: 88+68=156, Resulting Numbers: [156]
156,91 unequal: No Solution
Exploring Operation: 88-68=20, Resulting Numbers: [20]
20,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 91:[80, 76], Operations: ['63-51=12', '88-12=76']
Exploring Operation: 80-76=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 80*76=6080, Resulting Numbers: [6080]
6080,91 unequal: No Solution
Exploring Operation: 80+76=156, Resulting Numbers: [156]
156,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[88, 80, 114], Operations: ['51+63=114']
Exploring Operation: 114-88=26, Resulting Numbers: [80, 26]
Generated Node #0,0,0: 91:[80, 26] Operation: 114-88=26
Exploring Operation: 114-80=34, Resulting Numbers: [88, 34]
Generated Node #0,0,1: 91:[88, 34] Operation: 114-80=34
Exploring Operation: 88+80=168, Resulting Numbers: [114, 168]
Generated Node #0,0,2: 91:[114, 168] Operation: 88+80=168
Exploring Operation: 80+114=194, Resulting Numbers: [88, 194]
Generated Node #0,0,3: 91:[88, 194] Operation: 80+114=194
Exploring Operation: 88-80=8, Resulting Numbers: [114, 8]
Generated Node #0,0,4: 91:[114, 8] Operation: 88-80=8
Moving to Node #0,0,0
Current State: 91:[80, 26], Operations: ['51+63=114', '114-88=26']
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 80*26=2080, Resulting Numbers: [2080]
2080,91 unequal: No Solution
Exploring Operation: 80+26=106, Resulting Numbers: [106]
106,91 unequal: No Solution
Moving to Node #0,0,4
Current State: 91:[114, 8], Operations: ['51+63=114', '88-80=8']
Exploring Operation: 114-8=106, Resulting Numbers: [106]
106,91 unequal: No Solution
Exploring Operation: 114*8=912, Resulting Numbers: [912]
912,91 unequal: No Solution
Exploring Operation: 114+8=122, Resulting Numbers: [122]
122,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[88, 34], Operations: ['51+63=114', '114-80=34']
Exploring Operation: 88-34=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 88+34=122, Resulting Numbers: [122]
122,91 unequal: No Solution
Exploring Operation: 88*34=2992, Resulting Numbers: [2992]
2992,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[114, 168], Operations: ['51+63=114', '88+80=168']
Exploring Operation: 114+168=282, Resulting Numbers: [282]
282,91 unequal: No Solution
Exploring Operation: 168-114=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 114*168=19152, Resulting Numbers: [19152]
19152,91 unequal: No Solution
Moving to Node #0,0,3
Current State: 91:[88, 194], Operations: ['51+63=114', '80+114=194']
Exploring Operation: 88*194=17072, Resulting Numbers: [17072]
17072,91 unequal: No Solution
Exploring Operation: 88+194=282, Resulting Numbers: [282]
282,91 unequal: No Solution
Exploring Operation: 194-88=106, Resulting Numbers: [106]
106,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[51, 88, 17], Operations: ['80-63=17']
Exploring Operation: 51/17=3, Resulting Numbers: [88, 3]
Generated Node #0,1,0: 91:[88, 3] Operation: 51/17=3
Exploring Operation: 51-17=34, Resulting Numbers: [88, 34]
Generated Node #0,1,1: 91:[88, 34] Operation: 51-17=34
Exploring Operation: 88-51=37, Resulting Numbers: [17, 37]
Generated Node #0,1,2: 91:[17, 37] Operation: 88-51=37
Exploring Operation: 51+88=139, Resulting Numbers: [17, 139]
Generated Node #0,1,3: 91:[17, 139] Operation: 51+88=139
Exploring Operation: 51+17=68, Resulting Numbers: [88, 68]
Generated Node #0,1,4: 91:[88, 68] Operation: 51+17=68
Moving to Node #0,1,0
Current State: 91:[88, 3], Operations: ['80-63=17', '51/17=3']
Exploring Operation: 88*3=264, Resulting Numbers: [264]
264,91 unequal: No Solution
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[51, 63, 88, 80], Operations: []
Exploring Operation: 80-63=17, Resulting Numbers: [51, 88, 17]
Generated Node #0,1: 91:[51, 88, 17] Operation: 80-63=17
Moving to Node #0,1
Current State: 91:[51, 88, 17], Operations: ['80-63=17']
Exploring Operation: 51/17=3, Resulting Numbers: [88, 3]
Generated Node #0,1,0: 91:[88, 3] Operation: 51/17=3
Moving to Node #0,1,0
Current State: 91:[88, 3], Operations: ['80-63=17', '51/17=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.951389 |
hs_5
|
mult_heuristic
|
[
32,
64,
28,
59
] | 89 |
[
"64/32=2",
"28+59=87",
"2+87=89"
] |
Current State: 89:[32, 64, 28, 59], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [28, 59, 2]
Generated Node #2: [28, 59, 2] from Operation: 64/32=2
Current State: 89:[28, 59, 2], Operations: ['64/32=2']
Exploring Operation: 28+59=87, Resulting Numbers: [2, 87]
Generated Node #3: [2, 87] from Operation: 28+59=87
Current State: 89:[2, 87], Operations: ['64/32=2', '28+59=87']
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
Current State: 89:[32, 64, 28, 59], Operations: []
Exploring Operation: 28+59=87, Resulting Numbers: [32, 64, 87]
Generated Node #0,0: 89:[32, 64, 87] Operation: 28+59=87
Exploring Operation: 32+28=60, Resulting Numbers: [64, 59, 60]
Generated Node #0,1: 89:[64, 59, 60] Operation: 32+28=60
Moving to Node #0,0
Current State: 89:[32, 64, 87], Operations: ['28+59=87']
Exploring Operation: 32+64=96, Resulting Numbers: [87, 96]
Generated Node #0,0,0: 89:[87, 96] Operation: 32+64=96
Exploring Operation: 32+87=119, Resulting Numbers: [64, 119]
Generated Node #0,0,1: 89:[64, 119] Operation: 32+87=119
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[87, 96], Operations: ['28+59=87', '32+64=96']
Exploring Operation: 87+96=183, Resulting Numbers: [183]
183,89 unequal: No Solution
Exploring Operation: 96-87=9, Resulting Numbers: [9]
9,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[64, 119], Operations: ['28+59=87', '32+87=119']
Exploring Operation: 64+119=183, Resulting Numbers: [183]
183,89 unequal: No Solution
Exploring Operation: 119-64=55, Resulting Numbers: [55]
55,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 89:[64, 59, 60], Operations: ['32+28=60']
Exploring Operation: 59+60=119, Resulting Numbers: [64, 119]
Generated Node #0,1,0: 89:[64, 119] Operation: 59+60=119
Exploring Operation: 64+59=123, Resulting Numbers: [60, 123]
Generated Node #0,1,1: 89:[60, 123] Operation: 64+59=123
Moving to Node #0,1,0
Current State: 89:[64, 119], Operations: ['32+28=60', '59+60=119']
Exploring Operation: 64+119=183, Resulting Numbers: [183]
183,89 unequal: No Solution
Exploring Operation: 119-64=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[60, 123], Operations: ['32+28=60', '64+59=123']
Exploring Operation: 123-60=63, Resulting Numbers: [63]
63,89 unequal: No Solution
Exploring Operation: 60+123=183, Resulting Numbers: [183]
183,89 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
30,
68,
75,
12
] | 35 |
[
"30+68=98",
"75-12=63",
"98-63=35"
] |
Current State: 35:[30, 68, 75, 12], Operations: []
Exploring Operation: 30+68=98, Resulting Numbers: [75, 12, 98]
Generated Node #2: [75, 12, 98] from Operation: 30+68=98
Current State: 35:[75, 12, 98], Operations: ['30+68=98']
Exploring Operation: 75-12=63, Resulting Numbers: [98, 63]
Generated Node #3: [98, 63] from Operation: 75-12=63
Current State: 35:[98, 63], Operations: ['30+68=98', '75-12=63']
Exploring Operation: 98-63=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[30, 68, 75, 12], Operations: []
Exploring Operation: 75-12=63, Resulting Numbers: [30, 68, 63]
Generated Node #0,0: 35:[30, 68, 63] Operation: 75-12=63
Exploring Operation: 68-30=38, Resulting Numbers: [75, 12, 38]
Generated Node #0,1: 35:[75, 12, 38] Operation: 68-30=38
Exploring Operation: 75-30=45, Resulting Numbers: [68, 12, 45]
Generated Node #0,2: 35:[68, 12, 45] Operation: 75-30=45
Exploring Operation: 75-68=7, Resulting Numbers: [30, 12, 7]
Generated Node #0,3: 35:[30, 12, 7] Operation: 75-68=7
Exploring Operation: 68-12=56, Resulting Numbers: [30, 75, 56]
Generated Node #0,4: 35:[30, 75, 56] Operation: 68-12=56
Start Sub Search at level 1: Moving to Node #0,3
Current State: 35:[30, 12, 7], Operations: ['75-68=7']
Exploring Operation: 12-7=5, Resulting Numbers: [30, 5]
Generated Node #0,3,0: 35:[30, 5] Operation: 12-7=5
Exploring Operation: 30-12=18, Resulting Numbers: [7, 18]
Generated Node #0,3,1: 35:[7, 18] Operation: 30-12=18
Exploring Operation: 30+7=37, Resulting Numbers: [12, 37]
Generated Node #0,3,2: 35:[12, 37] Operation: 30+7=37
Exploring Operation: 30-7=23, Resulting Numbers: [12, 23]
Generated Node #0,3,3: 35:[12, 23] Operation: 30-7=23
Exploring Operation: 30+12=42, Resulting Numbers: [7, 42]
Generated Node #0,3,4: 35:[7, 42] Operation: 30+12=42
Moving to Node #0,3,0
Current State: 35:[30, 5], Operations: ['75-68=7', '12-7=5']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,35 unequal: No Solution
Exploring Operation: 30*5=150, Resulting Numbers: [150]
150,35 unequal: No Solution
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[30, 68, 75, 12], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [30, 12, 7]
Generated Node #0,3: 35:[30, 12, 7] Operation: 75-68=7
Moving to Node #0,3
Current State: 35:[30, 12, 7], Operations: ['75-68=7']
Exploring Operation: 12-7=5, Resulting Numbers: [30, 5]
Generated Node #0,3,0: 35:[30, 5] Operation: 12-7=5
Moving to Node #0,3,0
Current State: 35:[30, 5], Operations: ['75-68=7', '12-7=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 |
hs_5
|
sum_heuristic
|
[
71,
7,
20,
4
] | 94 |
[
"71+7=78",
"20-4=16",
"78+16=94"
] |
Current State: 94:[71, 7, 20, 4], Operations: []
Exploring Operation: 71+7=78, Resulting Numbers: [20, 4, 78]
Generated Node #2: [20, 4, 78] from Operation: 71+7=78
Current State: 94:[20, 4, 78], Operations: ['71+7=78']
Exploring Operation: 20-4=16, Resulting Numbers: [78, 16]
Generated Node #3: [78, 16] from Operation: 20-4=16
Current State: 94:[78, 16], Operations: ['71+7=78', '20-4=16']
Exploring Operation: 78+16=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[71, 7, 20, 4], Operations: []
Exploring Operation: 71+7=78, Resulting Numbers: [20, 4, 78]
Generated Node #0,0: 94:[20, 4, 78] Operation: 71+7=78
Exploring Operation: 71-20=51, Resulting Numbers: [7, 4, 51]
Generated Node #0,1: 94:[7, 4, 51] Operation: 71-20=51
Exploring Operation: 71+20=91, Resulting Numbers: [7, 4, 91]
Generated Node #0,2: 94:[7, 4, 91] Operation: 71+20=91
Exploring Operation: 20/4=5, Resulting Numbers: [71, 7, 5]
Generated Node #0,3: 94:[71, 7, 5] Operation: 20/4=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 94:[7, 4, 91], Operations: ['71+20=91']
Exploring Operation: 7-4=3, Resulting Numbers: [91, 3]
Generated Node #0,2,0: 94:[91, 3] Operation: 7-4=3
Exploring Operation: 7+4=11, Resulting Numbers: [91, 11]
Generated Node #0,2,1: 94:[91, 11] Operation: 7+4=11
Exploring Operation: 7+91=98, Resulting Numbers: [4, 98]
Generated Node #0,2,2: 94:[4, 98] Operation: 7+91=98
Exploring Operation: 4+91=95, Resulting Numbers: [7, 95]
Generated Node #0,2,3: 94:[7, 95] Operation: 4+91=95
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 94:[91, 3], Operations: ['71+20=91', '7-4=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,94 unequal: No Solution
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[71, 7, 20, 4], Operations: []
Exploring Operation: 71+20=91, Resulting Numbers: [7, 4, 91]
Generated Node #0,2: 94:[7, 4, 91] Operation: 71+20=91
Moving to Node #0,2
Current State: 94:[7, 4, 91], Operations: ['71+20=91']
Exploring Operation: 7-4=3, Resulting Numbers: [91, 3]
Generated Node #0,2,0: 94:[91, 3] Operation: 7-4=3
Moving to Node #0,2,0
Current State: 94:[91, 3], Operations: ['71+20=91', '7-4=3']
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 |
hs_4
|
sum_heuristic
|
[
48,
61,
52,
87
] | 83 |
[
"61-48=13",
"52/13=4",
"87-4=83"
] |
Current State: 83:[48, 61, 52, 87], Operations: []
Exploring Operation: 61-48=13, Resulting Numbers: [52, 87, 13]
Generated Node #2: [52, 87, 13] from Operation: 61-48=13
Current State: 83:[52, 87, 13], Operations: ['61-48=13']
Exploring Operation: 52/13=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 52/13=4
Current State: 83:[87, 4], Operations: ['61-48=13', '52/13=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
Current State: 83:[48, 61, 52, 87], Operations: []
Exploring Operation: 48+61=109, Resulting Numbers: [52, 87, 109]
Generated Node #0,0: 83:[52, 87, 109] Operation: 48+61=109
Exploring Operation: 61+52=113, Resulting Numbers: [48, 87, 113]
Generated Node #0,1: 83:[48, 87, 113] Operation: 61+52=113
Exploring Operation: 48+52=100, Resulting Numbers: [61, 87, 100]
Generated Node #0,2: 83:[61, 87, 100] Operation: 48+52=100
Moving to Node #0,2
Current State: 83:[61, 87, 100], Operations: ['48+52=100']
Exploring Operation: 61+87=148, Resulting Numbers: [100, 148]
Generated Node #0,2,0: 83:[100, 148] Operation: 61+87=148
Exploring Operation: 100-61=39, Resulting Numbers: [87, 39]
Generated Node #0,2,1: 83:[87, 39] Operation: 100-61=39
Exploring Operation: 87-61=26, Resulting Numbers: [100, 26]
Generated Node #0,2,2: 83:[100, 26] Operation: 87-61=26
Moving to Node #0,0
Current State: 83:[52, 87, 109], Operations: ['48+61=109']
Exploring Operation: 52+87=139, Resulting Numbers: [109, 139]
Generated Node #0,0,0: 83:[109, 139] Operation: 52+87=139
Exploring Operation: 109-52=57, Resulting Numbers: [87, 57]
Generated Node #0,0,1: 83:[87, 57] Operation: 109-52=57
Exploring Operation: 87-52=35, Resulting Numbers: [109, 35]
Generated Node #0,0,2: 83:[109, 35] Operation: 87-52=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[87, 57], Operations: ['48+61=109', '109-52=57']
Exploring Operation: 87*57=4959, Resulting Numbers: [4959]
4959,83 unequal: No Solution
Exploring Operation: 87-57=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 87+57=144, Resulting Numbers: [144]
144,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[109, 35], Operations: ['48+61=109', '87-52=35']
Exploring Operation: 109+35=144, Resulting Numbers: [144]
144,83 unequal: No Solution
Exploring Operation: 109-35=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 109*35=3815, Resulting Numbers: [3815]
3815,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[109, 139], Operations: ['48+61=109', '52+87=139']
Exploring Operation: 139-109=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 109+139=248, Resulting Numbers: [248]
248,83 unequal: No Solution
Exploring Operation: 109*139=15151, Resulting Numbers: [15151]
15151,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 83:[48, 87, 113], Operations: ['61+52=113']
Exploring Operation: 87-48=39, Resulting Numbers: [113, 39]
Generated Node #0,1,0: 83:[113, 39] Operation: 87-48=39
Exploring Operation: 48+87=135, Resulting Numbers: [113, 135]
Generated Node #0,1,1: 83:[113, 135] Operation: 48+87=135
Exploring Operation: 113-48=65, Resulting Numbers: [87, 65]
Generated Node #0,1,2: 83:[87, 65] Operation: 113-48=65
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 83:[87, 65], Operations: ['61+52=113', '113-48=65']
Exploring Operation: 87*65=5655, Resulting Numbers: [5655]
5655,83 unequal: No Solution
Exploring Operation: 87-65=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 87+65=152, Resulting Numbers: [152]
152,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[113, 39], Operations: ['61+52=113', '87-48=39']
Exploring Operation: 113-39=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 113*39=4407, Resulting Numbers: [4407]
4407,83 unequal: No Solution
Exploring Operation: 113+39=152, Resulting Numbers: [152]
152,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[113, 135], Operations: ['61+52=113', '48+87=135']
Exploring Operation: 113*135=15255, Resulting Numbers: [15255]
15255,83 unequal: No Solution
Exploring Operation: 113+135=248, Resulting Numbers: [248]
248,83 unequal: No Solution
Exploring Operation: 135-113=22, Resulting Numbers: [22]
22,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 83:[87, 39], Operations: ['48+52=100', '100-61=39']
Exploring Operation: 87*39=3393, Resulting Numbers: [3393]
3393,83 unequal: No Solution
Exploring Operation: 87-39=48, Resulting Numbers: [48]
48,83 unequal: No Solution
Exploring Operation: 87+39=126, Resulting Numbers: [126]
126,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[100, 26], Operations: ['48+52=100', '87-61=26']
Exploring Operation: 100+26=126, Resulting Numbers: [126]
126,83 unequal: No Solution
Exploring Operation: 100-26=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 100*26=2600, Resulting Numbers: [2600]
2600,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[100, 148], Operations: ['48+52=100', '61+87=148']
Exploring Operation: 148-100=48, Resulting Numbers: [48]
48,83 unequal: No Solution
Exploring Operation: 100*148=14800, Resulting Numbers: [14800]
14800,83 unequal: No Solution
Exploring Operation: 100+148=248, Resulting Numbers: [248]
248,83 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
54,
78,
87,
36
] | 35 |
[
"78*36=2808",
"2808/54=52",
"87-52=35"
] |
Current State: 35:[54, 78, 87, 36], Operations: []
Exploring Operation: 78*36=2808, Resulting Numbers: [54, 87, 2808]
Generated Node #2: [54, 87, 2808] from Operation: 78*36=2808
Current State: 35:[54, 87, 2808], Operations: ['78*36=2808']
Exploring Operation: 2808/54=52, Resulting Numbers: [87, 52]
Generated Node #3: [87, 52] from Operation: 2808/54=52
Current State: 35:[87, 52], Operations: ['78*36=2808', '2808/54=52']
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[54, 78, 87, 36], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [87, 36, 24]
Generated Node #0,0: 35:[87, 36, 24] Operation: 78-54=24
Exploring Operation: 87-78=9, Resulting Numbers: [54, 36, 9]
Generated Node #0,1: 35:[54, 36, 9] Operation: 87-78=9
Exploring Operation: 87-54=33, Resulting Numbers: [78, 36, 33]
Generated Node #0,2: 35:[78, 36, 33] Operation: 87-54=33
Moving to Node #0,1
Current State: 35:[54, 36, 9], Operations: ['87-78=9']
Exploring Operation: 54-9=45, Resulting Numbers: [36, 45]
Generated Node #0,1,0: 35:[36, 45] Operation: 54-9=45
Exploring Operation: 54-36=18, Resulting Numbers: [9, 18]
Generated Node #0,1,1: 35:[9, 18] Operation: 54-36=18
Exploring Operation: 54/9=6, Resulting Numbers: [36, 6]
Generated Node #0,1,2: 35:[36, 6] Operation: 54/9=6
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 35:[36, 6], Operations: ['87-78=9', '54/9=6']
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[36, 45], Operations: ['87-78=9', '54-9=45']
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 36+45=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 36*45=1620, Resulting Numbers: [1620]
1620,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 35:[9, 18], Operations: ['87-78=9', '54-36=18']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,35 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 35:[78, 36, 33], Operations: ['87-54=33']
Exploring Operation: 78-33=45, Resulting Numbers: [36, 45]
Generated Node #0,2,0: 35:[36, 45] Operation: 78-33=45
Exploring Operation: 36-33=3, Resulting Numbers: [78, 3]
Generated Node #0,2,1: 35:[78, 3] Operation: 36-33=3
Exploring Operation: 78-36=42, Resulting Numbers: [33, 42]
Generated Node #0,2,2: 35:[33, 42] Operation: 78-36=42
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 35:[33, 42], Operations: ['87-54=33', '78-36=42']
Exploring Operation: 42-33=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 33+42=75, Resulting Numbers: [75]
75,35 unequal: No Solution
Exploring Operation: 33*42=1386, Resulting Numbers: [1386]
1386,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 35:[36, 45], Operations: ['87-54=33', '78-33=45']
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 36+45=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 36*45=1620, Resulting Numbers: [1620]
1620,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 35:[78, 3], Operations: ['87-54=33', '36-33=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,35 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 35:[87, 36, 24], Operations: ['78-54=24']
Exploring Operation: 36-24=12, Resulting Numbers: [87, 12]
Generated Node #0,0,0: 35:[87, 12] Operation: 36-24=12
Exploring Operation: 87-36=51, Resulting Numbers: [24, 51]
Generated Node #0,0,1: 35:[24, 51] Operation: 87-36=51
Exploring Operation: 87-24=63, Resulting Numbers: [36, 63]
Generated Node #0,0,2: 35:[36, 63] Operation: 87-24=63
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 35:[24, 51], Operations: ['78-54=24', '87-36=51']
Exploring Operation: 24*51=1224, Resulting Numbers: [1224]
1224,35 unequal: No Solution
Exploring Operation: 24+51=75, Resulting Numbers: [75]
75,35 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 35:[36, 63], Operations: ['78-54=24', '87-24=63']
Exploring Operation: 36*63=2268, Resulting Numbers: [2268]
2268,35 unequal: No Solution
Exploring Operation: 63-36=27, Resulting Numbers: [27]
27,35 unequal: No Solution
Exploring Operation: 36+63=99, Resulting Numbers: [99]
99,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[87, 12], Operations: ['78-54=24', '36-24=12']
Exploring Operation: 87+12=99, Resulting Numbers: [99]
99,35 unequal: No Solution
Exploring Operation: 87*12=1044, Resulting Numbers: [1044]
1044,35 unequal: No Solution
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
93,
23,
16,
56
] | 20 |
[
"93-23=70",
"16*70=1120",
"1120/56=20"
] |
Current State: 20:[93, 23, 16, 56], Operations: []
Exploring Operation: 93-23=70, Resulting Numbers: [16, 56, 70]
Generated Node #2: [16, 56, 70] from Operation: 93-23=70
Current State: 20:[16, 56, 70], Operations: ['93-23=70']
Exploring Operation: 16*70=1120, Resulting Numbers: [56, 1120]
Generated Node #3: [56, 1120] from Operation: 16*70=1120
Current State: 20:[56, 1120], Operations: ['93-23=70', '16*70=1120']
Exploring Operation: 1120/56=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
Current State: 20:[93, 23, 16, 56], Operations: []
Exploring Operation: 93-23=70, Resulting Numbers: [16, 56, 70]
Generated Node #0,0: 20:[16, 56, 70] Operation: 93-23=70
Exploring Operation: 93-56=37, Resulting Numbers: [23, 16, 37]
Generated Node #0,1: 20:[23, 16, 37] Operation: 93-56=37
Moving to Node #0,1
Current State: 20:[23, 16, 37], Operations: ['93-56=37']
Exploring Operation: 37-16=21, Resulting Numbers: [23, 21]
Generated Node #0,1,0: 20:[23, 21] Operation: 37-16=21
Exploring Operation: 37-23=14, Resulting Numbers: [16, 14]
Generated Node #0,1,1: 20:[16, 14] Operation: 37-23=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 20:[23, 21], Operations: ['93-56=37', '37-16=21']
Exploring Operation: 23+21=44, Resulting Numbers: [44]
44,20 unequal: No Solution
Exploring Operation: 23-21=2, Resulting Numbers: [2]
2,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 20:[16, 14], Operations: ['93-56=37', '37-23=14']
Exploring Operation: 16+14=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 20:[16, 56, 70], Operations: ['93-23=70']
Exploring Operation: 70-56=14, Resulting Numbers: [16, 14]
Generated Node #0,0,0: 20:[16, 14] Operation: 70-56=14
Exploring Operation: 56-16=40, Resulting Numbers: [70, 40]
Generated Node #0,0,1: 20:[70, 40] Operation: 56-16=40
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[16, 14], Operations: ['93-23=70', '70-56=14']
Exploring Operation: 16+14=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[70, 40], Operations: ['93-23=70', '56-16=40']
Exploring Operation: 70+40=110, Resulting Numbers: [110]
110,20 unequal: No Solution
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
77,
71,
97,
10
] | 93 |
[
"77-71=6",
"97-10=87",
"6+87=93"
] |
Current State: 93:[77, 71, 97, 10], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [97, 10, 6]
Generated Node #2: [97, 10, 6] from Operation: 77-71=6
Current State: 93:[97, 10, 6], Operations: ['77-71=6']
Exploring Operation: 97-10=87, Resulting Numbers: [6, 87]
Generated Node #3: [6, 87] from Operation: 97-10=87
Current State: 93:[6, 87], Operations: ['77-71=6', '97-10=87']
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[77, 71, 97, 10], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [97, 10, 6]
Generated Node #0,0: 93:[97, 10, 6] Operation: 77-71=6
Exploring Operation: 97-71=26, Resulting Numbers: [77, 10, 26]
Generated Node #0,1: 93:[77, 10, 26] Operation: 97-71=26
Moving to Node #0,0
Current State: 93:[97, 10, 6], Operations: ['77-71=6']
Exploring Operation: 10-6=4, Resulting Numbers: [97, 4]
Generated Node #0,0,0: 93:[97, 4] Operation: 10-6=4
Exploring Operation: 97-10=87, Resulting Numbers: [6, 87]
Generated Node #0,0,1: 93:[6, 87] Operation: 97-10=87
Moving to Node #0,1
Current State: 93:[77, 10, 26], Operations: ['97-71=26']
Exploring Operation: 77+26=103, Resulting Numbers: [10, 103]
Generated Node #0,1,0: 93:[10, 103] Operation: 77+26=103
Exploring Operation: 77+10=87, Resulting Numbers: [26, 87]
Generated Node #0,1,1: 93:[26, 87] Operation: 77+10=87
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[26, 87], Operations: ['97-71=26', '77+10=87']
Exploring Operation: 26+87=113, Resulting Numbers: [113]
113,93 unequal: No Solution
Exploring Operation: 87-26=61, Resulting Numbers: [61]
61,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[10, 103], Operations: ['97-71=26', '77+26=103']
Exploring Operation: 103-10=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[77, 71, 97, 10], Operations: []
Exploring Operation: 97-71=26, Resulting Numbers: [77, 10, 26]
Generated Node #0,1: 93:[77, 10, 26] Operation: 97-71=26
Moving to Node #0,1
Current State: 93:[77, 10, 26], Operations: ['97-71=26']
Exploring Operation: 77+26=103, Resulting Numbers: [10, 103]
Generated Node #0,1,0: 93:[10, 103] Operation: 77+26=103
Moving to Node #0,1,0
Current State: 93:[10, 103], Operations: ['97-71=26', '77+26=103']
Exploring Operation: 103-10=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 |
hs_2
|
sum_heuristic
|
[
28,
2,
42,
11
] | 78 |
[
"42+11=53",
"2*53=106",
"106-28=78"
] |
Current State: 78:[28, 2, 42, 11], Operations: []
Exploring Operation: 42+11=53, Resulting Numbers: [28, 2, 53]
Generated Node #2: [28, 2, 53] from Operation: 42+11=53
Current State: 78:[28, 2, 53], Operations: ['42+11=53']
Exploring Operation: 2*53=106, Resulting Numbers: [28, 106]
Generated Node #3: [28, 106] from Operation: 2*53=106
Current State: 78:[28, 106], Operations: ['42+11=53', '2*53=106']
Exploring Operation: 106-28=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Current State: 78:[28, 2, 42, 11], Operations: []
Exploring Operation: 42-2=40, Resulting Numbers: [28, 11, 40]
Generated Node #0,0: 78:[28, 11, 40] Operation: 42-2=40
Exploring Operation: 28-2=26, Resulting Numbers: [42, 11, 26]
Generated Node #0,1: 78:[42, 11, 26] Operation: 28-2=26
Exploring Operation: 42-28=14, Resulting Numbers: [2, 11, 14]
Generated Node #0,2: 78:[2, 11, 14] Operation: 42-28=14
Exploring Operation: 28+11=39, Resulting Numbers: [2, 42, 39]
Generated Node #0,3: 78:[2, 42, 39] Operation: 28+11=39
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[2, 11, 14], Operations: ['42-28=14']
Exploring Operation: 14-11=3, Resulting Numbers: [2, 3]
Generated Node #0,2,0: 78:[2, 3] Operation: 14-11=3
Exploring Operation: 2+11=13, Resulting Numbers: [14, 13]
Generated Node #0,2,1: 78:[14, 13] Operation: 2+11=13
Exploring Operation: 11+14=25, Resulting Numbers: [2, 25]
Generated Node #0,2,2: 78:[2, 25] Operation: 11+14=25
Exploring Operation: 14-2=12, Resulting Numbers: [11, 12]
Generated Node #0,2,3: 78:[11, 12] Operation: 14-2=12
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 78:[2, 3], Operations: ['42-28=14', '14-11=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 78:[14, 13], Operations: ['42-28=14', '2+11=13']
Exploring Operation: 14*13=182, Resulting Numbers: [182]
182,78 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 78:[2, 25], Operations: ['42-28=14', '11+14=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,78 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,78 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 78:[11, 12], Operations: ['42-28=14', '14-2=12']
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,78 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,78 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 78:[2, 42, 39], Operations: ['28+11=39']
Exploring Operation: 42-39=3, Resulting Numbers: [2, 3]
Generated Node #0,3,0: 78:[2, 3] Operation: 42-39=3
Exploring Operation: 42+39=81, Resulting Numbers: [2, 81]
Generated Node #0,3,1: 78:[2, 81] Operation: 42+39=81
Exploring Operation: 42-2=40, Resulting Numbers: [39, 40]
Generated Node #0,3,2: 78:[39, 40] Operation: 42-2=40
Exploring Operation: 2*39=78, Resulting Numbers: [42, 78]
Generated Node #0,3,3: 78:[42, 78] Operation: 2*39=78
Moving to Node #0,3,0
Current State: 78:[2, 3], Operations: ['28+11=39', '42-39=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Moving to Node #0,3,2
Current State: 78:[39, 40], Operations: ['28+11=39', '42-2=40']
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 39*40=1560, Resulting Numbers: [1560]
1560,78 unequal: No Solution
Moving to Node #0,3,3
Current State: 78:[42, 78], Operations: ['28+11=39', '2*39=78']
Exploring Operation: 42*78=3276, Resulting Numbers: [3276]
3276,78 unequal: No Solution
Exploring Operation: 78-42=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Exploring Operation: 42+78=120, Resulting Numbers: [120]
120,78 unequal: No Solution
Moving to Node #0,3,1
Current State: 78:[2, 81], Operations: ['28+11=39', '42+39=81']
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,78 unequal: No Solution
Exploring Operation: 2*81=162, Resulting Numbers: [162]
162,78 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[28, 11, 40], Operations: ['42-2=40']
Exploring Operation: 28+11=39, Resulting Numbers: [40, 39]
Generated Node #0,0,0: 78:[40, 39] Operation: 28+11=39
Exploring Operation: 40-11=29, Resulting Numbers: [28, 29]
Generated Node #0,0,1: 78:[28, 29] Operation: 40-11=29
Exploring Operation: 40-28=12, Resulting Numbers: [11, 12]
Generated Node #0,0,2: 78:[11, 12] Operation: 40-28=12
Exploring Operation: 28-11=17, Resulting Numbers: [40, 17]
Generated Node #0,0,3: 78:[40, 17] Operation: 28-11=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[40, 39], Operations: ['42-2=40', '28+11=39']
Exploring Operation: 40*39=1560, Resulting Numbers: [1560]
1560,78 unequal: No Solution
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 78:[11, 12], Operations: ['42-2=40', '40-28=12']
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,78 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 78:[28, 29], Operations: ['42-2=40', '40-11=29']
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,78 unequal: No Solution
Exploring Operation: 28*29=812, Resulting Numbers: [812]
812,78 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 78:[40, 17], Operations: ['42-2=40', '28-11=17']
Exploring Operation: 40*17=680, Resulting Numbers: [680]
680,78 unequal: No Solution
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,78 unequal: No Solution
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[42, 11, 26], Operations: ['28-2=26']
Exploring Operation: 42-26=16, Resulting Numbers: [11, 16]
Generated Node #0,1,0: 78:[11, 16] Operation: 42-26=16
Exploring Operation: 42-11=31, Resulting Numbers: [26, 31]
Generated Node #0,1,1: 78:[26, 31] Operation: 42-11=31
Exploring Operation: 26-11=15, Resulting Numbers: [42, 15]
Generated Node #0,1,2: 78:[42, 15] Operation: 26-11=15
Exploring Operation: 11+26=37, Resulting Numbers: [42, 37]
Generated Node #0,1,3: 78:[42, 37] Operation: 11+26=37
Moving to Node #0,1,0
Current State: 78:[11, 16], Operations: ['28-2=26', '42-26=16']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,78 unequal: No Solution
Exploring Operation: 11*16=176, Resulting Numbers: [176]
176,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[42, 15], Operations: ['28-2=26', '26-11=15']
Exploring Operation: 42*15=630, Resulting Numbers: [630]
630,78 unequal: No Solution
Exploring Operation: 42+15=57, Resulting Numbers: [57]
57,78 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[26, 31], Operations: ['28-2=26', '42-11=31']
Exploring Operation: 26+31=57, Resulting Numbers: [57]
57,78 unequal: No Solution
Exploring Operation: 26*31=806, Resulting Numbers: [806]
806,78 unequal: No Solution
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Moving to Node #0,1,3
Current State: 78:[42, 37], Operations: ['28-2=26', '11+26=37']
Exploring Operation: 42+37=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 42-37=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 42*37=1554, Resulting Numbers: [1554]
1554,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
18,
77,
80,
99
] | 27 |
[
"99-18=81",
"80-77=3",
"81/3=27"
] |
Current State: 27:[18, 77, 80, 99], Operations: []
Exploring Operation: 99-18=81, Resulting Numbers: [77, 80, 81]
Generated Node #2: [77, 80, 81] from Operation: 99-18=81
Current State: 27:[77, 80, 81], Operations: ['99-18=81']
Exploring Operation: 80-77=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 80-77=3
Current State: 27:[81, 3], Operations: ['99-18=81', '80-77=3']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
Current State: 27:[18, 77, 80, 99], Operations: []
Exploring Operation: 99-80=19, Resulting Numbers: [18, 77, 19]
Generated Node #0,0: 27:[18, 77, 19] Operation: 99-80=19
Exploring Operation: 80-77=3, Resulting Numbers: [18, 99, 3]
Generated Node #0,1: 27:[18, 99, 3] Operation: 80-77=3
Exploring Operation: 77-18=59, Resulting Numbers: [80, 99, 59]
Generated Node #0,2: 27:[80, 99, 59] Operation: 77-18=59
Exploring Operation: 99-77=22, Resulting Numbers: [18, 80, 22]
Generated Node #0,3: 27:[18, 80, 22] Operation: 99-77=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[18, 77, 19], Operations: ['99-80=19']
Exploring Operation: 77-18=59, Resulting Numbers: [19, 59]
Generated Node #0,0,0: 27:[19, 59] Operation: 77-18=59
Exploring Operation: 18+19=37, Resulting Numbers: [77, 37]
Generated Node #0,0,1: 27:[77, 37] Operation: 18+19=37
Exploring Operation: 77-19=58, Resulting Numbers: [18, 58]
Generated Node #0,0,2: 27:[18, 58] Operation: 77-19=58
Exploring Operation: 19-18=1, Resulting Numbers: [77, 1]
Generated Node #0,0,3: 27:[77, 1] Operation: 19-18=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[19, 59], Operations: ['99-80=19', '77-18=59']
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,27 unequal: No Solution
Exploring Operation: 19*59=1121, Resulting Numbers: [1121]
1121,27 unequal: No Solution
Exploring Operation: 19+59=78, Resulting Numbers: [78]
78,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 27:[18, 58], Operations: ['99-80=19', '77-19=58']
Exploring Operation: 18*58=1044, Resulting Numbers: [1044]
1044,27 unequal: No Solution
Exploring Operation: 18+58=76, Resulting Numbers: [76]
76,27 unequal: No Solution
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 27:[77, 1], Operations: ['99-80=19', '19-18=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,27 unequal: No Solution
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,27 unequal: No Solution
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,27 unequal: No Solution
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 27:[77, 37], Operations: ['99-80=19', '18+19=37']
Exploring Operation: 77+37=114, Resulting Numbers: [114]
114,27 unequal: No Solution
Exploring Operation: 77-37=40, Resulting Numbers: [40]
40,27 unequal: No Solution
Exploring Operation: 77*37=2849, Resulting Numbers: [2849]
2849,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[18, 80, 22], Operations: ['99-77=22']
Exploring Operation: 22-18=4, Resulting Numbers: [80, 4]
Generated Node #0,3,0: 27:[80, 4] Operation: 22-18=4
Exploring Operation: 80-18=62, Resulting Numbers: [22, 62]
Generated Node #0,3,1: 27:[22, 62] Operation: 80-18=62
Exploring Operation: 18+22=40, Resulting Numbers: [80, 40]
Generated Node #0,3,2: 27:[80, 40] Operation: 18+22=40
Exploring Operation: 80-22=58, Resulting Numbers: [18, 58]
Generated Node #0,3,3: 27:[18, 58] Operation: 80-22=58
Moving to Node #0,3,1
Current State: 27:[22, 62], Operations: ['99-77=22', '80-18=62']
Exploring Operation: 22+62=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 62-22=40, Resulting Numbers: [40]
40,27 unequal: No Solution
Exploring Operation: 22*62=1364, Resulting Numbers: [1364]
1364,27 unequal: No Solution
Moving to Node #0,3,3
Current State: 27:[18, 58], Operations: ['99-77=22', '80-22=58']
Exploring Operation: 18*58=1044, Resulting Numbers: [1044]
1044,27 unequal: No Solution
Exploring Operation: 18+58=76, Resulting Numbers: [76]
76,27 unequal: No Solution
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,27 unequal: No Solution
Moving to Node #0,3,0
Current State: 27:[80, 4], Operations: ['99-77=22', '22-18=4']
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,27 unequal: No Solution
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,27 unequal: No Solution
Exploring Operation: 80+4=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 80*4=320, Resulting Numbers: [320]
320,27 unequal: No Solution
Moving to Node #0,3,2
Current State: 27:[80, 40], Operations: ['99-77=22', '18+22=40']
Exploring Operation: 80*40=3200, Resulting Numbers: [3200]
3200,27 unequal: No Solution
Exploring Operation: 80/40=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 80+40=120, Resulting Numbers: [120]
120,27 unequal: No Solution
Exploring Operation: 80-40=40, Resulting Numbers: [40]
40,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[18, 99, 3], Operations: ['80-77=3']
Exploring Operation: 99-18=81, Resulting Numbers: [3, 81]
Generated Node #0,1,0: 27:[3, 81] Operation: 99-18=81
Exploring Operation: 18/3=6, Resulting Numbers: [99, 6]
Generated Node #0,1,1: 27:[99, 6] Operation: 18/3=6
Exploring Operation: 18+3=21, Resulting Numbers: [99, 21]
Generated Node #0,1,2: 27:[99, 21] Operation: 18+3=21
Exploring Operation: 99/3=33, Resulting Numbers: [18, 33]
Generated Node #0,1,3: 27:[18, 33] Operation: 99/3=33
Moving to Node #0,1,3
Current State: 27:[18, 33], Operations: ['80-77=3', '99/3=33']
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,27 unequal: No Solution
Exploring Operation: 18*33=594, Resulting Numbers: [594]
594,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[3, 81], Operations: ['80-77=3', '99-18=81']
Exploring Operation: 3*81=243, Resulting Numbers: [243]
243,27 unequal: No Solution
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[18, 77, 80, 99], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [18, 99, 3]
Generated Node #0,1: 27:[18, 99, 3] Operation: 80-77=3
Moving to Node #0,1
Current State: 27:[18, 99, 3], Operations: ['80-77=3']
Exploring Operation: 99-18=81, Resulting Numbers: [3, 81]
Generated Node #0,1,0: 27:[3, 81] Operation: 99-18=81
Moving to Node #0,1,0
Current State: 27:[3, 81], Operations: ['80-77=3', '99-18=81']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 |
hs_4
|
sum_heuristic
|
[
2,
62,
81,
46
] | 49 |
[
"62-46=16",
"2*16=32",
"81-32=49"
] |
Current State: 49:[2, 62, 81, 46], Operations: []
Exploring Operation: 62-46=16, Resulting Numbers: [2, 81, 16]
Generated Node #2: [2, 81, 16] from Operation: 62-46=16
Current State: 49:[2, 81, 16], Operations: ['62-46=16']
Exploring Operation: 2*16=32, Resulting Numbers: [81, 32]
Generated Node #3: [81, 32] from Operation: 2*16=32
Current State: 49:[81, 32], Operations: ['62-46=16', '2*16=32']
Exploring Operation: 81-32=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
Current State: 49:[2, 62, 81, 46], Operations: []
Exploring Operation: 81-2=79, Resulting Numbers: [62, 46, 79]
Generated Node #0,0: 49:[62, 46, 79] Operation: 81-2=79
Exploring Operation: 62-2=60, Resulting Numbers: [81, 46, 60]
Generated Node #0,1: 49:[81, 46, 60] Operation: 62-2=60
Exploring Operation: 81-62=19, Resulting Numbers: [2, 46, 19]
Generated Node #0,2: 49:[2, 46, 19] Operation: 81-62=19
Exploring Operation: 81-46=35, Resulting Numbers: [2, 62, 35]
Generated Node #0,3: 49:[2, 62, 35] Operation: 81-46=35
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[2, 46, 19], Operations: ['81-62=19']
Exploring Operation: 2*19=38, Resulting Numbers: [46, 38]
Generated Node #0,2,0: 49:[46, 38] Operation: 2*19=38
Exploring Operation: 2+46=48, Resulting Numbers: [19, 48]
Generated Node #0,2,1: 49:[19, 48] Operation: 2+46=48
Exploring Operation: 46-2=44, Resulting Numbers: [19, 44]
Generated Node #0,2,2: 49:[19, 44] Operation: 46-2=44
Exploring Operation: 19-2=17, Resulting Numbers: [46, 17]
Generated Node #0,2,3: 49:[46, 17] Operation: 19-2=17
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 49:[19, 48], Operations: ['81-62=19', '2+46=48']
Exploring Operation: 19*48=912, Resulting Numbers: [912]
912,49 unequal: No Solution
Exploring Operation: 19+48=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 49:[46, 17], Operations: ['81-62=19', '19-2=17']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 46*17=782, Resulting Numbers: [782]
782,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 49:[46, 38], Operations: ['81-62=19', '2*19=38']
Exploring Operation: 46+38=84, Resulting Numbers: [84]
84,49 unequal: No Solution
Exploring Operation: 46*38=1748, Resulting Numbers: [1748]
1748,49 unequal: No Solution
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[19, 44], Operations: ['81-62=19', '46-2=44']
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,49 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[2, 62, 35], Operations: ['81-46=35']
Exploring Operation: 62-35=27, Resulting Numbers: [2, 27]
Generated Node #0,3,0: 49:[2, 27] Operation: 62-35=27
Exploring Operation: 62-2=60, Resulting Numbers: [35, 60]
Generated Node #0,3,1: 49:[35, 60] Operation: 62-2=60
Exploring Operation: 2+35=37, Resulting Numbers: [62, 37]
Generated Node #0,3,2: 49:[62, 37] Operation: 2+35=37
Exploring Operation: 2+62=64, Resulting Numbers: [35, 64]
Generated Node #0,3,3: 49:[35, 64] Operation: 2+62=64
Moving to Node #0,3,0
Current State: 49:[2, 27], Operations: ['81-46=35', '62-35=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[62, 37], Operations: ['81-46=35', '2+35=37']
Exploring Operation: 62*37=2294, Resulting Numbers: [2294]
2294,49 unequal: No Solution
Exploring Operation: 62+37=99, Resulting Numbers: [99]
99,49 unequal: No Solution
Exploring Operation: 62-37=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[35, 60], Operations: ['81-46=35', '62-2=60']
Exploring Operation: 35+60=95, Resulting Numbers: [95]
95,49 unequal: No Solution
Exploring Operation: 60-35=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Exploring Operation: 35*60=2100, Resulting Numbers: [2100]
2100,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[35, 64], Operations: ['81-46=35', '2+62=64']
Exploring Operation: 35*64=2240, Resulting Numbers: [2240]
2240,49 unequal: No Solution
Exploring Operation: 64-35=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 35+64=99, Resulting Numbers: [99]
99,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[62, 46, 79], Operations: ['81-2=79']
Exploring Operation: 79-46=33, Resulting Numbers: [62, 33]
Generated Node #0,0,0: 49:[62, 33] Operation: 79-46=33
Exploring Operation: 79-62=17, Resulting Numbers: [46, 17]
Generated Node #0,0,1: 49:[46, 17] Operation: 79-62=17
Exploring Operation: 62+46=108, Resulting Numbers: [79, 108]
Generated Node #0,0,2: 49:[79, 108] Operation: 62+46=108
Exploring Operation: 62-46=16, Resulting Numbers: [79, 16]
Generated Node #0,0,3: 49:[79, 16] Operation: 62-46=16
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[46, 17], Operations: ['81-2=79', '79-62=17']
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 46*17=782, Resulting Numbers: [782]
782,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[62, 33], Operations: ['81-2=79', '79-46=33']
Exploring Operation: 62-33=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 62*33=2046, Resulting Numbers: [2046]
2046,49 unequal: No Solution
Exploring Operation: 62+33=95, Resulting Numbers: [95]
95,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 49:[79, 16], Operations: ['81-2=79', '62-46=16']
Exploring Operation: 79+16=95, Resulting Numbers: [95]
95,49 unequal: No Solution
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 79*16=1264, Resulting Numbers: [1264]
1264,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 49:[79, 108], Operations: ['81-2=79', '62+46=108']
Exploring Operation: 108-79=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 79+108=187, Resulting Numbers: [187]
187,49 unequal: No Solution
Exploring Operation: 79*108=8532, Resulting Numbers: [8532]
8532,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[81, 46, 60], Operations: ['62-2=60']
Exploring Operation: 60-46=14, Resulting Numbers: [81, 14]
Generated Node #0,1,0: 49:[81, 14] Operation: 60-46=14
Exploring Operation: 81-60=21, Resulting Numbers: [46, 21]
Generated Node #0,1,1: 49:[46, 21] Operation: 81-60=21
Exploring Operation: 81-46=35, Resulting Numbers: [60, 35]
Generated Node #0,1,2: 49:[60, 35] Operation: 81-46=35
Exploring Operation: 81+46=127, Resulting Numbers: [60, 127]
Generated Node #0,1,3: 49:[60, 127] Operation: 81+46=127
Moving to Node #0,1,1
Current State: 49:[46, 21], Operations: ['62-2=60', '81-60=21']
Exploring Operation: 46*21=966, Resulting Numbers: [966]
966,49 unequal: No Solution
Exploring Operation: 46+21=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[60, 35], Operations: ['62-2=60', '81-46=35']
Exploring Operation: 60-35=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Exploring Operation: 60+35=95, Resulting Numbers: [95]
95,49 unequal: No Solution
Exploring Operation: 60*35=2100, Resulting Numbers: [2100]
2100,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[81, 14], Operations: ['62-2=60', '60-46=14']
Exploring Operation: 81+14=95, Resulting Numbers: [95]
95,49 unequal: No Solution
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 81*14=1134, Resulting Numbers: [1134]
1134,49 unequal: No Solution
Moving to Node #0,1,3
Current State: 49:[60, 127], Operations: ['62-2=60', '81+46=127']
Exploring Operation: 60*127=7620, Resulting Numbers: [7620]
7620,49 unequal: No Solution
Exploring Operation: 127-60=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 60+127=187, Resulting Numbers: [187]
187,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
68,
32,
34,
96
] | 62 |
[
"68/34=2",
"96-32=64",
"64-2=62"
] |
Current State: 62:[68, 32, 34, 96], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [32, 96, 2]
Generated Node #2: [32, 96, 2] from Operation: 68/34=2
Current State: 62:[32, 96, 2], Operations: ['68/34=2']
Exploring Operation: 96-32=64, Resulting Numbers: [2, 64]
Generated Node #3: [2, 64] from Operation: 96-32=64
Current State: 62:[2, 64], Operations: ['68/34=2', '96-32=64']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
Current State: 62:[68, 32, 34, 96], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [32, 34, 28]
Generated Node #0,0: 62:[32, 34, 28] Operation: 96-68=28
Exploring Operation: 96-34=62, Resulting Numbers: [68, 32, 62]
Generated Node #0,1: 62:[68, 32, 62] Operation: 96-34=62
Exploring Operation: 96/32=3, Resulting Numbers: [68, 34, 3]
Generated Node #0,2: 62:[68, 34, 3] Operation: 96/32=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[32, 34, 28], Operations: ['96-68=28']
Exploring Operation: 34+28=62, Resulting Numbers: [32, 62]
Generated Node #0,0,0: 62:[32, 62] Operation: 34+28=62
Exploring Operation: 32+28=60, Resulting Numbers: [34, 60]
Generated Node #0,0,1: 62:[34, 60] Operation: 32+28=60
Exploring Operation: 34-32=2, Resulting Numbers: [28, 2]
Generated Node #0,0,2: 62:[28, 2] Operation: 34-32=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[32, 62], Operations: ['96-68=28', '34+28=62']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Exploring Operation: 32+62=94, Resulting Numbers: [94]
94,62 unequal: No Solution
Exploring Operation: 32*62=1984, Resulting Numbers: [1984]
1984,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 62:[28, 2], Operations: ['96-68=28', '34-32=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,62 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[34, 60], Operations: ['96-68=28', '32+28=60']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 34*60=2040, Resulting Numbers: [2040]
2040,62 unequal: No Solution
Exploring Operation: 34+60=94, Resulting Numbers: [94]
94,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[68, 32, 62], Operations: ['96-34=62']
Exploring Operation: 62-32=30, Resulting Numbers: [68, 30]
Generated Node #0,1,0: 62:[68, 30] Operation: 62-32=30
Exploring Operation: 68-62=6, Resulting Numbers: [32, 6]
Generated Node #0,1,1: 62:[32, 6] Operation: 68-62=6
Exploring Operation: 68-32=36, Resulting Numbers: [62, 36]
Generated Node #0,1,2: 62:[62, 36] Operation: 68-32=36
Moving to Node #0,1,1
Current State: 62:[32, 6], Operations: ['96-34=62', '68-62=6']
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,62 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 32*6=192, Resulting Numbers: [192]
192,62 unequal: No Solution
Moving to Node #0,1,2
Current State: 62:[62, 36], Operations: ['96-34=62', '68-32=36']
Exploring Operation: 62*36=2232, Resulting Numbers: [2232]
2232,62 unequal: No Solution
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 62+36=98, Resulting Numbers: [98]
98,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[68, 30], Operations: ['96-34=62', '62-32=30']
Exploring Operation: 68*30=2040, Resulting Numbers: [2040]
2040,62 unequal: No Solution
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,62 unequal: No Solution
Exploring Operation: 68+30=98, Resulting Numbers: [98]
98,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[68, 34, 3], Operations: ['96/32=3']
Exploring Operation: 68-34=34, Resulting Numbers: [3, 34]
Generated Node #0,2,0: 62:[3, 34] Operation: 68-34=34
Exploring Operation: 68/34=2, Resulting Numbers: [3, 2]
Generated Node #0,2,1: 62:[3, 2] Operation: 68/34=2
Exploring Operation: 68-3=65, Resulting Numbers: [34, 65]
Generated Node #0,2,2: 62:[34, 65] Operation: 68-3=65
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 62:[3, 2], Operations: ['96/32=3', '68/34=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[3, 34], Operations: ['96/32=3', '68-34=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,62 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 62:[34, 65], Operations: ['96/32=3', '68-3=65']
Exploring Operation: 34+65=99, Resulting Numbers: [99]
99,62 unequal: No Solution
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 34*65=2210, Resulting Numbers: [2210]
2210,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
53,
21,
73,
19
] | 63 |
[
"53+73=126",
"21-19=2",
"126/2=63"
] |
Current State: 63:[53, 21, 73, 19], Operations: []
Exploring Operation: 53+73=126, Resulting Numbers: [21, 19, 126]
Generated Node #2: [21, 19, 126] from Operation: 53+73=126
Current State: 63:[21, 19, 126], Operations: ['53+73=126']
Exploring Operation: 21-19=2, Resulting Numbers: [126, 2]
Generated Node #3: [126, 2] from Operation: 21-19=2
Current State: 63:[126, 2], Operations: ['53+73=126', '21-19=2']
Exploring Operation: 126/2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[53, 21, 73, 19], Operations: []
Exploring Operation: 73-53=20, Resulting Numbers: [21, 19, 20]
Generated Node #0,0: 63:[21, 19, 20] Operation: 73-53=20
Exploring Operation: 21-19=2, Resulting Numbers: [53, 73, 2]
Generated Node #0,1: 63:[53, 73, 2] Operation: 21-19=2
Exploring Operation: 53+19=72, Resulting Numbers: [21, 73, 72]
Generated Node #0,2: 63:[21, 73, 72] Operation: 53+19=72
Exploring Operation: 73-19=54, Resulting Numbers: [53, 21, 54]
Generated Node #0,3: 63:[53, 21, 54] Operation: 73-19=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[21, 19, 20], Operations: ['73-53=20']
Exploring Operation: 21-19=2, Resulting Numbers: [20, 2]
Generated Node #0,0,0: 63:[20, 2] Operation: 21-19=2
Exploring Operation: 19+20=39, Resulting Numbers: [21, 39]
Generated Node #0,0,1: 63:[21, 39] Operation: 19+20=39
Exploring Operation: 21-20=1, Resulting Numbers: [19, 1]
Generated Node #0,0,2: 63:[19, 1] Operation: 21-20=1
Exploring Operation: 20-19=1, Resulting Numbers: [21, 1]
Generated Node #0,0,3: 63:[21, 1] Operation: 20-19=1
Moving to Node #0,0,0
Current State: 63:[20, 2], Operations: ['73-53=20', '21-19=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,63 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,63 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,63 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Moving to Node #0,0,3
Current State: 63:[21, 1], Operations: ['73-53=20', '20-19=1']
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,63 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Moving to Node #0,0,2
Current State: 63:[19, 1], Operations: ['73-53=20', '21-20=1']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,63 unequal: No Solution
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,63 unequal: No Solution
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[21, 39], Operations: ['73-53=20', '19+20=39']
Exploring Operation: 21+39=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 21*39=819, Resulting Numbers: [819]
819,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 63:[21, 73, 72], Operations: ['53+19=72']
Exploring Operation: 73-21=52, Resulting Numbers: [72, 52]
Generated Node #0,2,0: 63:[72, 52] Operation: 73-21=52
Exploring Operation: 73-72=1, Resulting Numbers: [21, 1]
Generated Node #0,2,1: 63:[21, 1] Operation: 73-72=1
Exploring Operation: 21+73=94, Resulting Numbers: [72, 94]
Generated Node #0,2,2: 63:[72, 94] Operation: 21+73=94
Exploring Operation: 72-21=51, Resulting Numbers: [73, 51]
Generated Node #0,2,3: 63:[73, 51] Operation: 72-21=51
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 63:[21, 1], Operations: ['53+19=72', '73-72=1']
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,63 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 63:[72, 52], Operations: ['53+19=72', '73-21=52']
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 72+52=124, Resulting Numbers: [124]
124,63 unequal: No Solution
Exploring Operation: 72*52=3744, Resulting Numbers: [3744]
3744,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 63:[73, 51], Operations: ['53+19=72', '72-21=51']
Exploring Operation: 73*51=3723, Resulting Numbers: [3723]
3723,63 unequal: No Solution
Exploring Operation: 73-51=22, Resulting Numbers: [22]
22,63 unequal: No Solution
Exploring Operation: 73+51=124, Resulting Numbers: [124]
124,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 63:[72, 94], Operations: ['53+19=72', '21+73=94']
Exploring Operation: 72+94=166, Resulting Numbers: [166]
166,63 unequal: No Solution
Exploring Operation: 94-72=22, Resulting Numbers: [22]
22,63 unequal: No Solution
Exploring Operation: 72*94=6768, Resulting Numbers: [6768]
6768,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 63:[53, 21, 54], Operations: ['73-19=54']
Exploring Operation: 21+54=75, Resulting Numbers: [53, 75]
Generated Node #0,3,0: 63:[53, 75] Operation: 21+54=75
Exploring Operation: 53-21=32, Resulting Numbers: [54, 32]
Generated Node #0,3,1: 63:[54, 32] Operation: 53-21=32
Exploring Operation: 54-53=1, Resulting Numbers: [21, 1]
Generated Node #0,3,2: 63:[21, 1] Operation: 54-53=1
Exploring Operation: 53+21=74, Resulting Numbers: [54, 74]
Generated Node #0,3,3: 63:[54, 74] Operation: 53+21=74
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 63:[21, 1], Operations: ['73-19=54', '54-53=1']
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 63:[54, 32], Operations: ['73-19=54', '53-21=32']
Exploring Operation: 54-32=22, Resulting Numbers: [22]
22,63 unequal: No Solution
Exploring Operation: 54+32=86, Resulting Numbers: [86]
86,63 unequal: No Solution
Exploring Operation: 54*32=1728, Resulting Numbers: [1728]
1728,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 63:[54, 74], Operations: ['73-19=54', '53+21=74']
Exploring Operation: 54*74=3996, Resulting Numbers: [3996]
3996,63 unequal: No Solution
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 54+74=128, Resulting Numbers: [128]
128,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 63:[53, 75], Operations: ['73-19=54', '21+54=75']
Exploring Operation: 75-53=22, Resulting Numbers: [22]
22,63 unequal: No Solution
Exploring Operation: 53+75=128, Resulting Numbers: [128]
128,63 unequal: No Solution
Exploring Operation: 53*75=3975, Resulting Numbers: [3975]
3975,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[53, 73, 2], Operations: ['21-19=2']
Exploring Operation: 73-53=20, Resulting Numbers: [2, 20]
Generated Node #0,1,0: 63:[2, 20] Operation: 73-53=20
Exploring Operation: 53-2=51, Resulting Numbers: [73, 51]
Generated Node #0,1,1: 63:[73, 51] Operation: 53-2=51
Exploring Operation: 73-2=71, Resulting Numbers: [53, 71]
Generated Node #0,1,2: 63:[53, 71] Operation: 73-2=71
Exploring Operation: 53+2=55, Resulting Numbers: [73, 55]
Generated Node #0,1,3: 63:[73, 55] Operation: 53+2=55
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 63:[2, 20], Operations: ['21-19=2', '73-53=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,63 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,63 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,63 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 63:[53, 71], Operations: ['21-19=2', '73-2=71']
Exploring Operation: 53+71=124, Resulting Numbers: [124]
124,63 unequal: No Solution
Exploring Operation: 71-53=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 53*71=3763, Resulting Numbers: [3763]
3763,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 63:[73, 55], Operations: ['21-19=2', '53+2=55']
Exploring Operation: 73-55=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 73+55=128, Resulting Numbers: [128]
128,63 unequal: No Solution
Exploring Operation: 73*55=4015, Resulting Numbers: [4015]
4015,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 63:[73, 51], Operations: ['21-19=2', '53-2=51']
Exploring Operation: 73*51=3723, Resulting Numbers: [3723]
3723,63 unequal: No Solution
Exploring Operation: 73+51=124, Resulting Numbers: [124]
124,63 unequal: No Solution
Exploring Operation: 73-51=22, Resulting Numbers: [22]
22,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
52,
8,
71,
96
] | 56 |
[
"71-52=19",
"8*19=152",
"152-96=56"
] |
Current State: 56:[52, 8, 71, 96], Operations: []
Exploring Operation: 71-52=19, Resulting Numbers: [8, 96, 19]
Generated Node #2: [8, 96, 19] from Operation: 71-52=19
Current State: 56:[8, 96, 19], Operations: ['71-52=19']
Exploring Operation: 8*19=152, Resulting Numbers: [96, 152]
Generated Node #3: [96, 152] from Operation: 8*19=152
Current State: 56:[96, 152], Operations: ['71-52=19', '8*19=152']
Exploring Operation: 152-96=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
Current State: 56:[52, 8, 71, 96], Operations: []
Exploring Operation: 96-52=44, Resulting Numbers: [8, 71, 44]
Generated Node #0,0: 56:[8, 71, 44] Operation: 96-52=44
Exploring Operation: 96/8=12, Resulting Numbers: [52, 71, 12]
Generated Node #0,1: 56:[52, 71, 12] Operation: 96/8=12
Exploring Operation: 96-71=25, Resulting Numbers: [52, 8, 25]
Generated Node #0,2: 56:[52, 8, 25] Operation: 96-71=25
Exploring Operation: 71-52=19, Resulting Numbers: [8, 96, 19]
Generated Node #0,3: 56:[8, 96, 19] Operation: 71-52=19
Moving to Node #0,2
Current State: 56:[52, 8, 25], Operations: ['96-71=25']
Exploring Operation: 25-8=17, Resulting Numbers: [52, 17]
Generated Node #0,2,0: 56:[52, 17] Operation: 25-8=17
Exploring Operation: 8+25=33, Resulting Numbers: [52, 33]
Generated Node #0,2,1: 56:[52, 33] Operation: 8+25=33
Exploring Operation: 52+8=60, Resulting Numbers: [25, 60]
Generated Node #0,2,2: 56:[25, 60] Operation: 52+8=60
Exploring Operation: 52-25=27, Resulting Numbers: [8, 27]
Generated Node #0,2,3: 56:[8, 27] Operation: 52-25=27
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 56:[8, 27], Operations: ['96-71=25', '52-25=27']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 56:[52, 17], Operations: ['96-71=25', '25-8=17']
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,56 unequal: No Solution
Exploring Operation: 52*17=884, Resulting Numbers: [884]
884,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 56:[25, 60], Operations: ['96-71=25', '52+8=60']
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 25*60=1500, Resulting Numbers: [1500]
1500,56 unequal: No Solution
Exploring Operation: 25+60=85, Resulting Numbers: [85]
85,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 56:[52, 33], Operations: ['96-71=25', '8+25=33']
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 52*33=1716, Resulting Numbers: [1716]
1716,56 unequal: No Solution
Exploring Operation: 52+33=85, Resulting Numbers: [85]
85,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 56:[52, 71, 12], Operations: ['96/8=12']
Exploring Operation: 71-52=19, Resulting Numbers: [12, 19]
Generated Node #0,1,0: 56:[12, 19] Operation: 71-52=19
Exploring Operation: 52+12=64, Resulting Numbers: [71, 64]
Generated Node #0,1,1: 56:[71, 64] Operation: 52+12=64
Exploring Operation: 71-12=59, Resulting Numbers: [52, 59]
Generated Node #0,1,2: 56:[52, 59] Operation: 71-12=59
Exploring Operation: 52-12=40, Resulting Numbers: [71, 40]
Generated Node #0,1,3: 56:[71, 40] Operation: 52-12=40
Moving to Node #0,0
Current State: 56:[8, 71, 44], Operations: ['96-52=44']
Exploring Operation: 71-8=63, Resulting Numbers: [44, 63]
Generated Node #0,0,0: 56:[44, 63] Operation: 71-8=63
Exploring Operation: 44-8=36, Resulting Numbers: [71, 36]
Generated Node #0,0,1: 56:[71, 36] Operation: 44-8=36
Exploring Operation: 8+44=52, Resulting Numbers: [71, 52]
Generated Node #0,0,2: 56:[71, 52] Operation: 8+44=52
Exploring Operation: 71-44=27, Resulting Numbers: [8, 27]
Generated Node #0,0,3: 56:[8, 27] Operation: 71-44=27
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 56:[8, 27], Operations: ['96-52=44', '71-44=27']
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,56 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[44, 63], Operations: ['96-52=44', '71-8=63']
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 44+63=107, Resulting Numbers: [107]
107,56 unequal: No Solution
Exploring Operation: 44*63=2772, Resulting Numbers: [2772]
2772,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[71, 52], Operations: ['96-52=44', '8+44=52']
Exploring Operation: 71*52=3692, Resulting Numbers: [3692]
3692,56 unequal: No Solution
Exploring Operation: 71-52=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 71+52=123, Resulting Numbers: [123]
123,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[71, 36], Operations: ['96-52=44', '44-8=36']
Exploring Operation: 71-36=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 71+36=107, Resulting Numbers: [107]
107,56 unequal: No Solution
Exploring Operation: 71*36=2556, Resulting Numbers: [2556]
2556,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 56:[8, 96, 19], Operations: ['71-52=19']
Exploring Operation: 96-8=88, Resulting Numbers: [19, 88]
Generated Node #0,3,0: 56:[19, 88] Operation: 96-8=88
Exploring Operation: 96-19=77, Resulting Numbers: [8, 77]
Generated Node #0,3,1: 56:[8, 77] Operation: 96-19=77
Exploring Operation: 96/8=12, Resulting Numbers: [19, 12]
Generated Node #0,3,2: 56:[19, 12] Operation: 96/8=12
Exploring Operation: 8+19=27, Resulting Numbers: [96, 27]
Generated Node #0,3,3: 56:[96, 27] Operation: 8+19=27
Moving to Node #0,1,0
Current State: 56:[12, 19], Operations: ['96/8=12', '71-52=19']
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,56 unequal: No Solution
Moving to Node #0,1,2
Current State: 56:[52, 59], Operations: ['96/8=12', '71-12=59']
Exploring Operation: 52*59=3068, Resulting Numbers: [3068]
3068,56 unequal: No Solution
Exploring Operation: 52+59=111, Resulting Numbers: [111]
111,56 unequal: No Solution
Exploring Operation: 59-52=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Moving to Node #0,3,2
Current State: 56:[19, 12], Operations: ['71-52=19', '96/8=12']
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 19*12=228, Resulting Numbers: [228]
228,56 unequal: No Solution
Moving to Node #0,3,1
Current State: 56:[8, 77], Operations: ['71-52=19', '96-19=77']
Exploring Operation: 8*77=616, Resulting Numbers: [616]
616,56 unequal: No Solution
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,56 unequal: No Solution
Exploring Operation: 8+77=85, Resulting Numbers: [85]
85,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[71, 64], Operations: ['96/8=12', '52+12=64']
Exploring Operation: 71+64=135, Resulting Numbers: [135]
135,56 unequal: No Solution
Exploring Operation: 71*64=4544, Resulting Numbers: [4544]
4544,56 unequal: No Solution
Exploring Operation: 71-64=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Moving to Node #0,1,3
Current State: 56:[71, 40], Operations: ['96/8=12', '52-12=40']
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,56 unequal: No Solution
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,56 unequal: No Solution
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Moving to Node #0,3,0
Current State: 56:[19, 88], Operations: ['71-52=19', '96-8=88']
Exploring Operation: 88-19=69, Resulting Numbers: [69]
69,56 unequal: No Solution
Exploring Operation: 19+88=107, Resulting Numbers: [107]
107,56 unequal: No Solution
Exploring Operation: 19*88=1672, Resulting Numbers: [1672]
1672,56 unequal: No Solution
Moving to Node #0,3,3
Current State: 56:[96, 27], Operations: ['71-52=19', '8+19=27']
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,56 unequal: No Solution
Exploring Operation: 96*27=2592, Resulting Numbers: [2592]
2592,56 unequal: No Solution
Exploring Operation: 96+27=123, Resulting Numbers: [123]
123,56 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
71,
7,
4,
17
] | 99 |
[
"71+7=78",
"4+17=21",
"78+21=99"
] |
Current State: 99:[71, 7, 4, 17], Operations: []
Exploring Operation: 71+7=78, Resulting Numbers: [4, 17, 78]
Generated Node #2: [4, 17, 78] from Operation: 71+7=78
Current State: 99:[4, 17, 78], Operations: ['71+7=78']
Exploring Operation: 4+17=21, Resulting Numbers: [78, 21]
Generated Node #3: [78, 21] from Operation: 4+17=21
Current State: 99:[78, 21], Operations: ['71+7=78', '4+17=21']
Exploring Operation: 78+21=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
Current State: 99:[71, 7, 4, 17], Operations: []
Exploring Operation: 71+17=88, Resulting Numbers: [7, 4, 88]
Generated Node #0,0: 99:[7, 4, 88] Operation: 71+17=88
Exploring Operation: 71-17=54, Resulting Numbers: [7, 4, 54]
Generated Node #0,1: 99:[7, 4, 54] Operation: 71-17=54
Exploring Operation: 71+7=78, Resulting Numbers: [4, 17, 78]
Generated Node #0,2: 99:[4, 17, 78] Operation: 71+7=78
Exploring Operation: 71+4=75, Resulting Numbers: [7, 17, 75]
Generated Node #0,3: 99:[7, 17, 75] Operation: 71+4=75
Exploring Operation: 17-7=10, Resulting Numbers: [71, 4, 10]
Generated Node #0,4: 99:[71, 4, 10] Operation: 17-7=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[7, 4, 88], Operations: ['71+17=88']
Exploring Operation: 88/4=22, Resulting Numbers: [7, 22]
Generated Node #0,0,0: 99:[7, 22] Operation: 88/4=22
Exploring Operation: 4+88=92, Resulting Numbers: [7, 92]
Generated Node #0,0,1: 99:[7, 92] Operation: 4+88=92
Exploring Operation: 7+88=95, Resulting Numbers: [4, 95]
Generated Node #0,0,2: 99:[4, 95] Operation: 7+88=95
Exploring Operation: 7+4=11, Resulting Numbers: [88, 11]
Generated Node #0,0,3: 99:[88, 11] Operation: 7+4=11
Exploring Operation: 7-4=3, Resulting Numbers: [88, 3]
Generated Node #0,0,4: 99:[88, 3] Operation: 7-4=3
Moving to Node #0,0,2
Current State: 99:[4, 95], Operations: ['71+17=88', '7+88=95']
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[71, 7, 4, 17], Operations: []
Exploring Operation: 71+17=88, Resulting Numbers: [7, 4, 88]
Generated Node #0,0: 99:[7, 4, 88] Operation: 71+17=88
Moving to Node #0,0
Current State: 99:[7, 4, 88], Operations: ['71+17=88']
Exploring Operation: 7+88=95, Resulting Numbers: [4, 95]
Generated Node #0,0,2: 99:[4, 95] Operation: 7+88=95
Moving to Node #0,0,2
Current State: 99:[4, 95], Operations: ['71+17=88', '7+88=95']
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
mult_heuristic
|
[
67,
34,
3,
14
] | 84 |
[
"67+34=101",
"3+14=17",
"101-17=84"
] |
Current State: 84:[67, 34, 3, 14], Operations: []
Exploring Operation: 67+34=101, Resulting Numbers: [3, 14, 101]
Generated Node #2: [3, 14, 101] from Operation: 67+34=101
Current State: 84:[3, 14, 101], Operations: ['67+34=101']
Exploring Operation: 3+14=17, Resulting Numbers: [101, 17]
Generated Node #3: [101, 17] from Operation: 3+14=17
Current State: 84:[101, 17], Operations: ['67+34=101', '3+14=17']
Exploring Operation: 101-17=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[67, 34, 3, 14], Operations: []
Exploring Operation: 67+14=81, Resulting Numbers: [34, 3, 81]
Generated Node #0,0: 84:[34, 3, 81] Operation: 67+14=81
Exploring Operation: 67-34=33, Resulting Numbers: [3, 14, 33]
Generated Node #0,1: 84:[3, 14, 33] Operation: 67-34=33
Moving to Node #0,1
Current State: 84:[3, 14, 33], Operations: ['67-34=33']
Exploring Operation: 33-3=30, Resulting Numbers: [14, 30]
Generated Node #0,1,0: 84:[14, 30] Operation: 33-3=30
Exploring Operation: 33/3=11, Resulting Numbers: [14, 11]
Generated Node #0,1,1: 84:[14, 11] Operation: 33/3=11
Moving to Node #0,0
Current State: 84:[34, 3, 81], Operations: ['67+14=81']
Exploring Operation: 81-34=47, Resulting Numbers: [3, 47]
Generated Node #0,0,0: 84:[3, 47] Operation: 81-34=47
Exploring Operation: 34-3=31, Resulting Numbers: [81, 31]
Generated Node #0,0,1: 84:[81, 31] Operation: 34-3=31
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[3, 47], Operations: ['67+14=81', '81-34=47']
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[81, 31], Operations: ['67+14=81', '34-3=31']
Exploring Operation: 81-31=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 81+31=112, Resulting Numbers: [112]
112,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 84:[14, 11], Operations: ['67-34=33', '33/3=11']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[14, 30], Operations: ['67-34=33', '33-3=30']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,84 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
26,
38,
82,
72
] | 54 |
[
"26+38=64",
"82-72=10",
"64-10=54"
] |
Current State: 54:[26, 38, 82, 72], Operations: []
Exploring Operation: 26+38=64, Resulting Numbers: [82, 72, 64]
Generated Node #2: [82, 72, 64] from Operation: 26+38=64
Current State: 54:[82, 72, 64], Operations: ['26+38=64']
Exploring Operation: 82-72=10, Resulting Numbers: [64, 10]
Generated Node #3: [64, 10] from Operation: 82-72=10
Current State: 54:[64, 10], Operations: ['26+38=64', '82-72=10']
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[26, 38, 82, 72], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [26, 38, 10]
Generated Node #0,0: 54:[26, 38, 10] Operation: 82-72=10
Moving to Node #0,0
Current State: 54:[26, 38, 10], Operations: ['82-72=10']
Exploring Operation: 38-10=28, Resulting Numbers: [26, 28]
Generated Node #0,0,0: 54:[26, 28] Operation: 38-10=28
Moving to Node #0,0,0
Current State: 54:[26, 28], Operations: ['82-72=10', '38-10=28']
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[26, 38, 82, 72], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [26, 38, 10]
Generated Node #0,0: 54:[26, 38, 10] Operation: 82-72=10
Moving to Node #0,0
Current State: 54:[26, 38, 10], Operations: ['82-72=10']
Exploring Operation: 38-10=28, Resulting Numbers: [26, 28]
Generated Node #0,0,0: 54:[26, 28] Operation: 38-10=28
Moving to Node #0,0,0
Current State: 54:[26, 28], Operations: ['82-72=10', '38-10=28']
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 0.993924 |
hs_1
|
sum_heuristic
|
[
72,
35,
73,
19
] | 74 |
[
"73-35=38",
"38/19=2",
"72+2=74"
] |
Current State: 74:[72, 35, 73, 19], Operations: []
Exploring Operation: 73-35=38, Resulting Numbers: [72, 19, 38]
Generated Node #2: [72, 19, 38] from Operation: 73-35=38
Current State: 74:[72, 19, 38], Operations: ['73-35=38']
Exploring Operation: 38/19=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 38/19=2
Current State: 74:[72, 2], Operations: ['73-35=38', '38/19=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
Current State: 74:[72, 35, 73, 19], Operations: []
Exploring Operation: 35-19=16, Resulting Numbers: [72, 73, 16]
Generated Node #0,0: 74:[72, 73, 16] Operation: 35-19=16
Exploring Operation: 72-35=37, Resulting Numbers: [73, 19, 37]
Generated Node #0,1: 74:[73, 19, 37] Operation: 72-35=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[72, 73, 16], Operations: ['35-19=16']
Exploring Operation: 73-72=1, Resulting Numbers: [16, 1]
Generated Node #0,0,0: 74:[16, 1] Operation: 73-72=1
Exploring Operation: 72+16=88, Resulting Numbers: [73, 88]
Generated Node #0,0,1: 74:[73, 88] Operation: 72+16=88
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[16, 1], Operations: ['35-19=16', '73-72=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[73, 88], Operations: ['35-19=16', '72+16=88']
Exploring Operation: 73+88=161, Resulting Numbers: [161]
161,74 unequal: No Solution
Exploring Operation: 88-73=15, Resulting Numbers: [15]
15,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[73, 19, 37], Operations: ['72-35=37']
Exploring Operation: 37-19=18, Resulting Numbers: [73, 18]
Generated Node #0,1,0: 74:[73, 18] Operation: 37-19=18
Exploring Operation: 73-19=54, Resulting Numbers: [37, 54]
Generated Node #0,1,1: 74:[37, 54] Operation: 73-19=54
Moving to Node #0,1,0
Current State: 74:[73, 18], Operations: ['72-35=37', '37-19=18']
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,74 unequal: No Solution
Exploring Operation: 73+18=91, Resulting Numbers: [91]
91,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[37, 54], Operations: ['72-35=37', '73-19=54']
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,74 unequal: No Solution
Exploring Operation: 37+54=91, Resulting Numbers: [91]
91,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
17,
56,
24,
21
] | 29 |
[
"24-17=7",
"56/7=8",
"21+8=29"
] |
Current State: 29:[17, 56, 24, 21], Operations: []
Exploring Operation: 24-17=7, Resulting Numbers: [56, 21, 7]
Generated Node #2: [56, 21, 7] from Operation: 24-17=7
Current State: 29:[56, 21, 7], Operations: ['24-17=7']
Exploring Operation: 56/7=8, Resulting Numbers: [21, 8]
Generated Node #3: [21, 8] from Operation: 56/7=8
Current State: 29:[21, 8], Operations: ['24-17=7', '56/7=8']
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
Current State: 29:[17, 56, 24, 21], Operations: []
Exploring Operation: 17+24=41, Resulting Numbers: [56, 21, 41]
Generated Node #0,0: 29:[56, 21, 41] Operation: 17+24=41
Exploring Operation: 17+21=38, Resulting Numbers: [56, 24, 38]
Generated Node #0,1: 29:[56, 24, 38] Operation: 17+21=38
Exploring Operation: 56-21=35, Resulting Numbers: [17, 24, 35]
Generated Node #0,2: 29:[17, 24, 35] Operation: 56-21=35
Exploring Operation: 56-24=32, Resulting Numbers: [17, 21, 32]
Generated Node #0,3: 29:[17, 21, 32] Operation: 56-24=32
Exploring Operation: 56-17=39, Resulting Numbers: [24, 21, 39]
Generated Node #0,4: 29:[24, 21, 39] Operation: 56-17=39
Moving to Node #0,2
Current State: 29:[17, 24, 35], Operations: ['56-21=35']
Exploring Operation: 35-24=11, Resulting Numbers: [17, 11]
Generated Node #0,2,0: 29:[17, 11] Operation: 35-24=11
Exploring Operation: 35-17=18, Resulting Numbers: [24, 18]
Generated Node #0,2,1: 29:[24, 18] Operation: 35-17=18
Exploring Operation: 17+24=41, Resulting Numbers: [35, 41]
Generated Node #0,2,2: 29:[35, 41] Operation: 17+24=41
Exploring Operation: 24-17=7, Resulting Numbers: [35, 7]
Generated Node #0,2,3: 29:[35, 7] Operation: 24-17=7
Exploring Operation: 17+35=52, Resulting Numbers: [24, 52]
Generated Node #0,2,4: 29:[24, 52] Operation: 17+35=52
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[24, 18], Operations: ['56-21=35', '35-17=18']
Exploring Operation: 24*18=432, Resulting Numbers: [432]
432,29 unequal: No Solution
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 29:[35, 41], Operations: ['56-21=35', '17+24=41']
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 35*41=1435, Resulting Numbers: [1435]
1435,29 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 29:[35, 7], Operations: ['56-21=35', '24-17=7']
Exploring Operation: 35+7=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Exploring Operation: 35*7=245, Resulting Numbers: [245]
245,29 unequal: No Solution
Exploring Operation: 35/7=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 29:[24, 52], Operations: ['56-21=35', '17+35=52']
Exploring Operation: 24*52=1248, Resulting Numbers: [1248]
1248,29 unequal: No Solution
Exploring Operation: 24+52=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[17, 11], Operations: ['56-21=35', '35-24=11']
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,29 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 29:[24, 21, 39], Operations: ['56-17=39']
Exploring Operation: 39-21=18, Resulting Numbers: [24, 18]
Generated Node #0,4,0: 29:[24, 18] Operation: 39-21=18
Exploring Operation: 24+21=45, Resulting Numbers: [39, 45]
Generated Node #0,4,1: 29:[39, 45] Operation: 24+21=45
Exploring Operation: 24-21=3, Resulting Numbers: [39, 3]
Generated Node #0,4,2: 29:[39, 3] Operation: 24-21=3
Exploring Operation: 39-24=15, Resulting Numbers: [21, 15]
Generated Node #0,4,3: 29:[21, 15] Operation: 39-24=15
Exploring Operation: 21+39=60, Resulting Numbers: [24, 60]
Generated Node #0,4,4: 29:[24, 60] Operation: 21+39=60
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 29:[24, 18], Operations: ['56-17=39', '39-21=18']
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 24*18=432, Resulting Numbers: [432]
432,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 29:[21, 15], Operations: ['56-17=39', '39-24=15']
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 21*15=315, Resulting Numbers: [315]
315,29 unequal: No Solution
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 29:[39, 45], Operations: ['56-17=39', '24+21=45']
Exploring Operation: 39*45=1755, Resulting Numbers: [1755]
1755,29 unequal: No Solution
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 39+45=84, Resulting Numbers: [84]
84,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 29:[39, 3], Operations: ['56-17=39', '24-21=3']
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,29 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 29:[24, 60], Operations: ['56-17=39', '21+39=60']
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,29 unequal: No Solution
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 29:[17, 21, 32], Operations: ['56-24=32']
Exploring Operation: 17+32=49, Resulting Numbers: [21, 49]
Generated Node #0,3,0: 29:[21, 49] Operation: 17+32=49
Exploring Operation: 21-17=4, Resulting Numbers: [32, 4]
Generated Node #0,3,1: 29:[32, 4] Operation: 21-17=4
Exploring Operation: 17+21=38, Resulting Numbers: [32, 38]
Generated Node #0,3,2: 29:[32, 38] Operation: 17+21=38
Exploring Operation: 32-17=15, Resulting Numbers: [21, 15]
Generated Node #0,3,3: 29:[21, 15] Operation: 32-17=15
Exploring Operation: 32-21=11, Resulting Numbers: [17, 11]
Generated Node #0,3,4: 29:[17, 11] Operation: 32-21=11
Moving to Node #0,1
Current State: 29:[56, 24, 38], Operations: ['17+21=38']
Exploring Operation: 56+24=80, Resulting Numbers: [38, 80]
Generated Node #0,1,0: 29:[38, 80] Operation: 56+24=80
Exploring Operation: 38-24=14, Resulting Numbers: [56, 14]
Generated Node #0,1,1: 29:[56, 14] Operation: 38-24=14
Exploring Operation: 56-24=32, Resulting Numbers: [38, 32]
Generated Node #0,1,2: 29:[38, 32] Operation: 56-24=32
Exploring Operation: 24+38=62, Resulting Numbers: [56, 62]
Generated Node #0,1,3: 29:[56, 62] Operation: 24+38=62
Exploring Operation: 56-38=18, Resulting Numbers: [24, 18]
Generated Node #0,1,4: 29:[24, 18] Operation: 56-38=18
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 29:[38, 32], Operations: ['17+21=38', '56-24=32']
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 38*32=1216, Resulting Numbers: [1216]
1216,29 unequal: No Solution
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 29:[24, 18], Operations: ['17+21=38', '56-38=18']
Exploring Operation: 24*18=432, Resulting Numbers: [432]
432,29 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 29:[56, 14], Operations: ['17+21=38', '38-24=14']
Exploring Operation: 56*14=784, Resulting Numbers: [784]
784,29 unequal: No Solution
Exploring Operation: 56/14=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Exploring Operation: 56+14=70, Resulting Numbers: [70]
70,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[38, 80], Operations: ['17+21=38', '56+24=80']
Exploring Operation: 38+80=118, Resulting Numbers: [118]
118,29 unequal: No Solution
Exploring Operation: 38*80=3040, Resulting Numbers: [3040]
3040,29 unequal: No Solution
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 29:[56, 62], Operations: ['17+21=38', '24+38=62']
Exploring Operation: 56+62=118, Resulting Numbers: [118]
118,29 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 56*62=3472, Resulting Numbers: [3472]
3472,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 29:[56, 21, 41], Operations: ['17+24=41']
Exploring Operation: 41-21=20, Resulting Numbers: [56, 20]
Generated Node #0,0,0: 29:[56, 20] Operation: 41-21=20
Exploring Operation: 56-41=15, Resulting Numbers: [21, 15]
Generated Node #0,0,1: 29:[21, 15] Operation: 56-41=15
Exploring Operation: 21+41=62, Resulting Numbers: [56, 62]
Generated Node #0,0,2: 29:[56, 62] Operation: 21+41=62
Exploring Operation: 56-21=35, Resulting Numbers: [41, 35]
Generated Node #0,0,3: 29:[41, 35] Operation: 56-21=35
Exploring Operation: 56+21=77, Resulting Numbers: [41, 77]
Generated Node #0,0,4: 29:[41, 77] Operation: 56+21=77
Moving to Node #0,3,2
Current State: 29:[32, 38], Operations: ['56-24=32', '17+21=38']
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 32*38=1216, Resulting Numbers: [1216]
1216,29 unequal: No Solution
Exploring Operation: 32+38=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Moving to Node #0,0,3
Current State: 29:[41, 35], Operations: ['17+24=41', '56-21=35']
Exploring Operation: 41*35=1435, Resulting Numbers: [1435]
1435,29 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 41+35=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[21, 15], Operations: ['17+24=41', '56-41=15']
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 21*15=315, Resulting Numbers: [315]
315,29 unequal: No Solution
Moving to Node #0,3,3
Current State: 29:[21, 15], Operations: ['56-24=32', '32-17=15']
Exploring Operation: 21*15=315, Resulting Numbers: [315]
315,29 unequal: No Solution
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Moving to Node #0,3,0
Current State: 29:[21, 49], Operations: ['56-24=32', '17+32=49']
Exploring Operation: 21+49=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 21*49=1029, Resulting Numbers: [1029]
1029,29 unequal: No Solution
Moving to Node #0,3,1
Current State: 29:[32, 4], Operations: ['56-24=32', '21-17=4']
Exploring Operation: 32*4=128, Resulting Numbers: [128]
128,29 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Moving to Node #0,3,4
Current State: 29:[17, 11], Operations: ['56-24=32', '32-21=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[56, 20], Operations: ['17+24=41', '41-21=20']
Exploring Operation: 56*20=1120, Resulting Numbers: [1120]
1120,29 unequal: No Solution
Exploring Operation: 56-20=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 56+20=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Moving to Node #0,0,4
Current State: 29:[41, 77], Operations: ['17+24=41', '56+21=77']
Exploring Operation: 41*77=3157, Resulting Numbers: [3157]
3157,29 unequal: No Solution
Exploring Operation: 41+77=118, Resulting Numbers: [118]
118,29 unequal: No Solution
Exploring Operation: 77-41=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[56, 62], Operations: ['17+24=41', '21+41=62']
Exploring Operation: 56*62=3472, Resulting Numbers: [3472]
3472,29 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 56+62=118, Resulting Numbers: [118]
118,29 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
24,
70,
3,
3
] | 88 |
[
"24+70=94",
"3+3=6",
"94-6=88"
] |
Current State: 88:[24, 70, 3, 3], Operations: []
Exploring Operation: 24+70=94, Resulting Numbers: [3, 3, 94]
Generated Node #2: [3, 3, 94] from Operation: 24+70=94
Current State: 88:[3, 3, 94], Operations: ['24+70=94']
Exploring Operation: 3+3=6, Resulting Numbers: [94, 6]
Generated Node #3: [94, 6] from Operation: 3+3=6
Current State: 88:[94, 6], Operations: ['24+70=94', '3+3=6']
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
Current State: 88:[24, 70, 3, 3], Operations: []
Exploring Operation: 70-24=46, Resulting Numbers: [3, 3, 46]
Generated Node #0,0: 88:[3, 3, 46] Operation: 70-24=46
Exploring Operation: 70+3=73, Resulting Numbers: [24, 3, 73]
Generated Node #0,1: 88:[24, 3, 73] Operation: 70+3=73
Exploring Operation: 24+70=94, Resulting Numbers: [3, 3, 94]
Generated Node #0,2: 88:[3, 3, 94] Operation: 24+70=94
Exploring Operation: 24/3=8, Resulting Numbers: [70, 3, 8]
Generated Node #0,3: 88:[70, 3, 8] Operation: 24/3=8
Exploring Operation: 70+3=73, Resulting Numbers: [24, 3, 73]
Generated Node #0,4: 88:[24, 3, 73] Operation: 70+3=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[3, 3, 46], Operations: ['70-24=46']
Exploring Operation: 46-3=43, Resulting Numbers: [3, 43]
Generated Node #0,0,0: 88:[3, 43] Operation: 46-3=43
Exploring Operation: 3*3=9, Resulting Numbers: [46, 9]
Generated Node #0,0,1: 88:[46, 9] Operation: 3*3=9
Exploring Operation: 46-3=43, Resulting Numbers: [3, 43]
Generated Node #0,0,2: 88:[3, 43] Operation: 46-3=43
Exploring Operation: 3+3=6, Resulting Numbers: [46, 6]
Generated Node #0,0,3: 88:[46, 6] Operation: 3+3=6
Exploring Operation: 3/3=1, Resulting Numbers: [46, 1]
Generated Node #0,0,4: 88:[46, 1] Operation: 3/3=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[3, 43], Operations: ['70-24=46', '46-3=43']
Exploring Operation: 3*43=129, Resulting Numbers: [129]
129,88 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 88:[3, 43], Operations: ['70-24=46', '46-3=43']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 3*43=129, Resulting Numbers: [129]
129,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 88:[46, 9], Operations: ['70-24=46', '3*3=9']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,88 unequal: No Solution
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,88 unequal: No Solution
Exploring Operation: 46*9=414, Resulting Numbers: [414]
414,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 88:[46, 1], Operations: ['70-24=46', '3/3=1']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,88 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 88:[46, 6], Operations: ['70-24=46', '3+3=6']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 46*6=276, Resulting Numbers: [276]
276,88 unequal: No Solution
Exploring Operation: 46+6=52, Resulting Numbers: [52]
52,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[3, 3, 94], Operations: ['24+70=94']
Exploring Operation: 3+3=6, Resulting Numbers: [94, 6]
Generated Node #0,2,0: 88:[94, 6] Operation: 3+3=6
Exploring Operation: 94-3=91, Resulting Numbers: [3, 91]
Generated Node #0,2,1: 88:[3, 91] Operation: 94-3=91
Exploring Operation: 3/3=1, Resulting Numbers: [94, 1]
Generated Node #0,2,2: 88:[94, 1] Operation: 3/3=1
Exploring Operation: 3*3=9, Resulting Numbers: [94, 9]
Generated Node #0,2,3: 88:[94, 9] Operation: 3*3=9
Exploring Operation: 94-3=91, Resulting Numbers: [3, 91]
Generated Node #0,2,4: 88:[3, 91] Operation: 94-3=91
Moving to Node #0,2,1
Current State: 88:[3, 91], Operations: ['24+70=94', '94-3=91']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[24, 70, 3, 3], Operations: []
Exploring Operation: 24+70=94, Resulting Numbers: [3, 3, 94]
Generated Node #0,2: 88:[3, 3, 94] Operation: 24+70=94
Moving to Node #0,2
Current State: 88:[3, 3, 94], Operations: ['24+70=94']
Exploring Operation: 94-3=91, Resulting Numbers: [3, 91]
Generated Node #0,2,1: 88:[3, 91] Operation: 94-3=91
Moving to Node #0,2,1
Current State: 88:[3, 91], Operations: ['24+70=94', '94-3=91']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 |
hs_5
|
mult_heuristic
|
[
34,
5,
31,
15
] | 16 |
[
"34+31=65",
"15+65=80",
"80/5=16"
] |
Current State: 16:[34, 5, 31, 15], Operations: []
Exploring Operation: 34+31=65, Resulting Numbers: [5, 15, 65]
Generated Node #2: [5, 15, 65] from Operation: 34+31=65
Current State: 16:[5, 15, 65], Operations: ['34+31=65']
Exploring Operation: 15+65=80, Resulting Numbers: [5, 80]
Generated Node #3: [5, 80] from Operation: 15+65=80
Current State: 16:[5, 80], Operations: ['34+31=65', '15+65=80']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
Current State: 16:[34, 5, 31, 15], Operations: []
Exploring Operation: 31-15=16, Resulting Numbers: [34, 5, 16]
Generated Node #0,0: 16:[34, 5, 16] Operation: 31-15=16
Exploring Operation: 34-5=29, Resulting Numbers: [31, 15, 29]
Generated Node #0,1: 16:[31, 15, 29] Operation: 34-5=29
Exploring Operation: 34-31=3, Resulting Numbers: [5, 15, 3]
Generated Node #0,2: 16:[5, 15, 3] Operation: 34-31=3
Exploring Operation: 34-15=19, Resulting Numbers: [5, 31, 19]
Generated Node #0,3: 16:[5, 31, 19] Operation: 34-15=19
Moving to Node #0,2
Current State: 16:[5, 15, 3], Operations: ['34-31=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15, 15]
Generated Node #0,2,0: 16:[15, 15] Operation: 5*3=15
Exploring Operation: 15/5=3, Resulting Numbers: [3, 3]
Generated Node #0,2,1: 16:[3, 3] Operation: 15/5=3
Exploring Operation: 5-3=2, Resulting Numbers: [15, 2]
Generated Node #0,2,2: 16:[15, 2] Operation: 5-3=2
Exploring Operation: 5+3=8, Resulting Numbers: [15, 8]
Generated Node #0,2,3: 16:[15, 8] Operation: 5+3=8
Moving to Node #0,3
Current State: 16:[5, 31, 19], Operations: ['34-15=19']
Exploring Operation: 31-5=26, Resulting Numbers: [19, 26]
Generated Node #0,3,0: 16:[19, 26] Operation: 31-5=26
Exploring Operation: 19-5=14, Resulting Numbers: [31, 14]
Generated Node #0,3,1: 16:[31, 14] Operation: 19-5=14
Exploring Operation: 5+31=36, Resulting Numbers: [19, 36]
Generated Node #0,3,2: 16:[19, 36] Operation: 5+31=36
Exploring Operation: 31-19=12, Resulting Numbers: [5, 12]
Generated Node #0,3,3: 16:[5, 12] Operation: 31-19=12
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 16:[5, 12], Operations: ['34-15=19', '31-19=12']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 16:[19, 26], Operations: ['34-15=19', '31-5=26']
Exploring Operation: 19+26=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 19*26=494, Resulting Numbers: [494]
494,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 16:[31, 14], Operations: ['34-15=19', '19-5=14']
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 31*14=434, Resulting Numbers: [434]
434,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 16:[19, 36], Operations: ['34-15=19', '5+31=36']
Exploring Operation: 19*36=684, Resulting Numbers: [684]
684,16 unequal: No Solution
Exploring Operation: 19+36=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 16:[34, 5, 16], Operations: ['31-15=16']
Exploring Operation: 16-5=11, Resulting Numbers: [34, 11]
Generated Node #0,0,0: 16:[34, 11] Operation: 16-5=11
Exploring Operation: 34-5=29, Resulting Numbers: [16, 29]
Generated Node #0,0,1: 16:[16, 29] Operation: 34-5=29
Exploring Operation: 34+5=39, Resulting Numbers: [16, 39]
Generated Node #0,0,2: 16:[16, 39] Operation: 34+5=39
Exploring Operation: 34-16=18, Resulting Numbers: [5, 18]
Generated Node #0,0,3: 16:[5, 18] Operation: 34-16=18
Moving to Node #0,1
Current State: 16:[31, 15, 29], Operations: ['34-5=29']
Exploring Operation: 31-15=16, Resulting Numbers: [29, 16]
Generated Node #0,1,0: 16:[29, 16] Operation: 31-15=16
Exploring Operation: 29-15=14, Resulting Numbers: [31, 14]
Generated Node #0,1,1: 16:[31, 14] Operation: 29-15=14
Exploring Operation: 31-29=2, Resulting Numbers: [15, 2]
Generated Node #0,1,2: 16:[15, 2] Operation: 31-29=2
Exploring Operation: 31+15=46, Resulting Numbers: [29, 46]
Generated Node #0,1,3: 16:[29, 46] Operation: 31+15=46
Moving to Node #0,2,2
Current State: 16:[15, 2], Operations: ['34-31=3', '5-3=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,16 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Moving to Node #0,2,3
Current State: 16:[15, 8], Operations: ['34-31=3', '5+3=8']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 15*8=120, Resulting Numbers: [120]
120,16 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[15, 2], Operations: ['34-5=29', '31-29=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[15, 15], Operations: ['34-31=3', '5*3=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,16 unequal: No Solution
Exploring Operation: 15-15=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 15*15=225, Resulting Numbers: [225]
225,16 unequal: No Solution
Exploring Operation: 15/15=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[3, 3], Operations: ['34-31=3', '15/5=3']
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,16 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Moving to Node #0,0,3
Current State: 16:[5, 18], Operations: ['31-15=16', '34-16=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,16 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[16, 29], Operations: ['31-15=16', '34-5=29']
Exploring Operation: 16*29=464, Resulting Numbers: [464]
464,16 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[29, 16], Operations: ['34-5=29', '31-15=16']
Exploring Operation: 29*16=464, Resulting Numbers: [464]
464,16 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[31, 14], Operations: ['34-5=29', '29-15=14']
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 31*14=434, Resulting Numbers: [434]
434,16 unequal: No Solution
Moving to Node #0,0,0
Current State: 16:[34, 11], Operations: ['31-15=16', '16-5=11']
Exploring Operation: 34*11=374, Resulting Numbers: [374]
374,16 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,16 unequal: No Solution
Exploring Operation: 34+11=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Moving to Node #0,0,2
Current State: 16:[16, 39], Operations: ['31-15=16', '34+5=39']
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,16 unequal: No Solution
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Exploring Operation: 16*39=624, Resulting Numbers: [624]
624,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[29, 46], Operations: ['34-5=29', '31+15=46']
Exploring Operation: 29+46=75, Resulting Numbers: [75]
75,16 unequal: No Solution
Exploring Operation: 29*46=1334, Resulting Numbers: [1334]
1334,16 unequal: No Solution
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,16 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
91,
24,
9,
75
] | 50 |
[
"91+75=166",
"24*9=216",
"216-166=50"
] |
Current State: 50:[91, 24, 9, 75], Operations: []
Exploring Operation: 91+75=166, Resulting Numbers: [24, 9, 166]
Generated Node #2: [24, 9, 166] from Operation: 91+75=166
Current State: 50:[24, 9, 166], Operations: ['91+75=166']
Exploring Operation: 24*9=216, Resulting Numbers: [166, 216]
Generated Node #3: [166, 216] from Operation: 24*9=216
Current State: 50:[166, 216], Operations: ['91+75=166', '24*9=216']
Exploring Operation: 216-166=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
Current State: 50:[91, 24, 9, 75], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [24, 9, 16]
Generated Node #0,0: 50:[24, 9, 16] Operation: 91-75=16
Exploring Operation: 91-24=67, Resulting Numbers: [9, 75, 67]
Generated Node #0,1: 50:[9, 75, 67] Operation: 91-24=67
Moving to Node #0,0
Current State: 50:[24, 9, 16], Operations: ['91-75=16']
Exploring Operation: 9+16=25, Resulting Numbers: [24, 25]
Generated Node #0,0,0: 50:[24, 25] Operation: 9+16=25
Exploring Operation: 24-16=8, Resulting Numbers: [9, 8]
Generated Node #0,0,1: 50:[9, 8] Operation: 24-16=8
Moving to Node #0,1
Current State: 50:[9, 75, 67], Operations: ['91-24=67']
Exploring Operation: 75-9=66, Resulting Numbers: [67, 66]
Generated Node #0,1,0: 50:[67, 66] Operation: 75-9=66
Exploring Operation: 75-67=8, Resulting Numbers: [9, 8]
Generated Node #0,1,1: 50:[9, 8] Operation: 75-67=8
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[9, 8], Operations: ['91-24=67', '75-67=8']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[67, 66], Operations: ['91-24=67', '75-9=66']
Exploring Operation: 67+66=133, Resulting Numbers: [133]
133,50 unequal: No Solution
Exploring Operation: 67-66=1, Resulting Numbers: [1]
1,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 50:[24, 25], Operations: ['91-75=16', '9+16=25']
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[9, 8], Operations: ['91-75=16', '24-16=8']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,50 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
44,
39,
60,
29
] | 50 |
[
"39-29=10",
"60/10=6",
"44+6=50"
] |
Current State: 50:[44, 39, 60, 29], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [44, 60, 10]
Generated Node #2: [44, 60, 10] from Operation: 39-29=10
Current State: 50:[44, 60, 10], Operations: ['39-29=10']
Exploring Operation: 60/10=6, Resulting Numbers: [44, 6]
Generated Node #3: [44, 6] from Operation: 60/10=6
Current State: 50:[44, 6], Operations: ['39-29=10', '60/10=6']
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
Current State: 50:[44, 39, 60, 29], Operations: []
Exploring Operation: 60-39=21, Resulting Numbers: [44, 29, 21]
Generated Node #0,0: 50:[44, 29, 21] Operation: 60-39=21
Exploring Operation: 39-29=10, Resulting Numbers: [44, 60, 10]
Generated Node #0,1: 50:[44, 60, 10] Operation: 39-29=10
Exploring Operation: 44-39=5, Resulting Numbers: [60, 29, 5]
Generated Node #0,2: 50:[60, 29, 5] Operation: 44-39=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[44, 29, 21], Operations: ['60-39=21']
Exploring Operation: 29+21=50, Resulting Numbers: [44, 50]
Generated Node #0,0,0: 50:[44, 50] Operation: 29+21=50
Exploring Operation: 29-21=8, Resulting Numbers: [44, 8]
Generated Node #0,0,1: 50:[44, 8] Operation: 29-21=8
Exploring Operation: 44-21=23, Resulting Numbers: [29, 23]
Generated Node #0,0,2: 50:[29, 23] Operation: 44-21=23
Moving to Node #0,0,0
Current State: 50:[44, 50], Operations: ['60-39=21', '29+21=50']
Exploring Operation: 44*50=2200, Resulting Numbers: [2200]
2200,50 unequal: No Solution
Exploring Operation: 44+50=94, Resulting Numbers: [94]
94,50 unequal: No Solution
Exploring Operation: 50-44=6, Resulting Numbers: [6]
6,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[29, 23], Operations: ['60-39=21', '44-21=23']
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,50 unequal: No Solution
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,50 unequal: No Solution
Exploring Operation: 29*23=667, Resulting Numbers: [667]
667,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[44, 8], Operations: ['60-39=21', '29-21=8']
Exploring Operation: 44*8=352, Resulting Numbers: [352]
352,50 unequal: No Solution
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,50 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[60, 29, 5], Operations: ['44-39=5']
Exploring Operation: 60/5=12, Resulting Numbers: [29, 12]
Generated Node #0,2,0: 50:[29, 12] Operation: 60/5=12
Exploring Operation: 60-29=31, Resulting Numbers: [5, 31]
Generated Node #0,2,1: 50:[5, 31] Operation: 60-29=31
Exploring Operation: 60-5=55, Resulting Numbers: [29, 55]
Generated Node #0,2,2: 50:[29, 55] Operation: 60-5=55
Moving to Node #0,2,0
Current State: 50:[29, 12], Operations: ['44-39=5', '60/5=12']
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,50 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 29*12=348, Resulting Numbers: [348]
348,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[5, 31], Operations: ['44-39=5', '60-29=31']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,50 unequal: No Solution
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,50 unequal: No Solution
Exploring Operation: 5*31=155, Resulting Numbers: [155]
155,50 unequal: No Solution
Moving to Node #0,2,2
Current State: 50:[29, 55], Operations: ['44-39=5', '60-5=55']
Exploring Operation: 29+55=84, Resulting Numbers: [84]
84,50 unequal: No Solution
Exploring Operation: 55-29=26, Resulting Numbers: [26]
26,50 unequal: No Solution
Exploring Operation: 29*55=1595, Resulting Numbers: [1595]
1595,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[44, 60, 10], Operations: ['39-29=10']
Exploring Operation: 60/10=6, Resulting Numbers: [44, 6]
Generated Node #0,1,0: 50:[44, 6] Operation: 60/10=6
Exploring Operation: 60-44=16, Resulting Numbers: [10, 16]
Generated Node #0,1,1: 50:[10, 16] Operation: 60-44=16
Exploring Operation: 60-10=50, Resulting Numbers: [44, 50]
Generated Node #0,1,2: 50:[44, 50] Operation: 60-10=50
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 50:[10, 16], Operations: ['39-29=10', '60-44=16']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,50 unequal: No Solution
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,50 unequal: No Solution
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 50:[44, 50], Operations: ['39-29=10', '60-10=50']
Exploring Operation: 44+50=94, Resulting Numbers: [94]
94,50 unequal: No Solution
Exploring Operation: 44*50=2200, Resulting Numbers: [2200]
2200,50 unequal: No Solution
Exploring Operation: 50-44=6, Resulting Numbers: [6]
6,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[44, 6], Operations: ['39-29=10', '60/10=6']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,50 unequal: No Solution
Exploring Operation: 44*6=264, Resulting Numbers: [264]
264,50 unequal: No Solution
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[44, 39, 60, 29], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [44, 60, 10]
Generated Node #0,1: 50:[44, 60, 10] Operation: 39-29=10
Moving to Node #0,1
Current State: 50:[44, 60, 10], Operations: ['39-29=10']
Exploring Operation: 60/10=6, Resulting Numbers: [44, 6]
Generated Node #0,1,0: 50:[44, 6] Operation: 60/10=6
Moving to Node #0,1,0
Current State: 50:[44, 6], Operations: ['39-29=10', '60/10=6']
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.962674 |
hs_3
|
sum_heuristic
|
[
53,
37,
42,
42
] | 15 |
[
"53-37=16",
"42/42=1",
"16-1=15"
] |
Current State: 15:[53, 37, 42, 42], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [42, 42, 16]
Generated Node #2: [42, 42, 16] from Operation: 53-37=16
Current State: 15:[42, 42, 16], Operations: ['53-37=16']
Exploring Operation: 42/42=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 42/42=1
Current State: 15:[16, 1], Operations: ['53-37=16', '42/42=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
Current State: 15:[53, 37, 42, 42], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [42, 42, 16]
Generated Node #0,0: 15:[42, 42, 16] Operation: 53-37=16
Exploring Operation: 53-42=11, Resulting Numbers: [37, 42, 11]
Generated Node #0,1: 15:[37, 42, 11] Operation: 53-42=11
Exploring Operation: 53-42=11, Resulting Numbers: [37, 42, 11]
Generated Node #0,2: 15:[37, 42, 11] Operation: 53-42=11
Moving to Node #0,1
Current State: 15:[37, 42, 11], Operations: ['53-42=11']
Exploring Operation: 42-11=31, Resulting Numbers: [37, 31]
Generated Node #0,1,0: 15:[37, 31] Operation: 42-11=31
Exploring Operation: 42-37=5, Resulting Numbers: [11, 5]
Generated Node #0,1,1: 15:[11, 5] Operation: 42-37=5
Exploring Operation: 37-11=26, Resulting Numbers: [42, 26]
Generated Node #0,1,2: 15:[42, 26] Operation: 37-11=26
Moving to Node #0,2
Current State: 15:[37, 42, 11], Operations: ['53-42=11']
Exploring Operation: 37-11=26, Resulting Numbers: [42, 26]
Generated Node #0,2,0: 15:[42, 26] Operation: 37-11=26
Exploring Operation: 42-11=31, Resulting Numbers: [37, 31]
Generated Node #0,2,1: 15:[37, 31] Operation: 42-11=31
Exploring Operation: 42-37=5, Resulting Numbers: [11, 5]
Generated Node #0,2,2: 15:[11, 5] Operation: 42-37=5
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 15:[11, 5], Operations: ['53-42=11', '42-37=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,15 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[42, 26], Operations: ['53-42=11', '37-11=26']
Exploring Operation: 42+26=68, Resulting Numbers: [68]
68,15 unequal: No Solution
Exploring Operation: 42*26=1092, Resulting Numbers: [1092]
1092,15 unequal: No Solution
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[37, 31], Operations: ['53-42=11', '42-11=31']
Exploring Operation: 37*31=1147, Resulting Numbers: [1147]
1147,15 unequal: No Solution
Exploring Operation: 37+31=68, Resulting Numbers: [68]
68,15 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 15:[42, 42, 16], Operations: ['53-37=16']
Exploring Operation: 42-16=26, Resulting Numbers: [42, 26]
Generated Node #0,0,0: 15:[42, 26] Operation: 42-16=26
Exploring Operation: 42/42=1, Resulting Numbers: [16, 1]
Generated Node #0,0,1: 15:[16, 1] Operation: 42/42=1
Exploring Operation: 42-42=0, Resulting Numbers: [16, 0]
Generated Node #0,0,2: 15:[16, 0] Operation: 42-42=0
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[16, 1], Operations: ['53-37=16', '42/42=1']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,15 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[53, 37, 42, 42], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [42, 42, 16]
Generated Node #0,0: 15:[42, 42, 16] Operation: 53-37=16
Moving to Node #0,0
Current State: 15:[42, 42, 16], Operations: ['53-37=16']
Exploring Operation: 42/42=1, Resulting Numbers: [16, 1]
Generated Node #0,0,1: 15:[16, 1] Operation: 42/42=1
Moving to Node #0,0,1
Current State: 15:[16, 1], Operations: ['53-37=16', '42/42=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 |
hs_3
|
sum_heuristic
|
[
21,
16,
76,
27
] | 54 |
[
"21-16=5",
"76-27=49",
"5+49=54"
] |
Current State: 54:[21, 16, 76, 27], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [76, 27, 5]
Generated Node #2: [76, 27, 5] from Operation: 21-16=5
Current State: 54:[76, 27, 5], Operations: ['21-16=5']
Exploring Operation: 76-27=49, Resulting Numbers: [5, 49]
Generated Node #3: [5, 49] from Operation: 76-27=49
Current State: 54:[5, 49], Operations: ['21-16=5', '76-27=49']
Exploring Operation: 5+49=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[21, 16, 76, 27], Operations: []
Exploring Operation: 76-21=55, Resulting Numbers: [16, 27, 55]
Generated Node #0,0: 54:[16, 27, 55] Operation: 76-21=55
Exploring Operation: 76-27=49, Resulting Numbers: [21, 16, 49]
Generated Node #0,1: 54:[21, 16, 49] Operation: 76-27=49
Exploring Operation: 76-16=60, Resulting Numbers: [21, 27, 60]
Generated Node #0,2: 54:[21, 27, 60] Operation: 76-16=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[16, 27, 55], Operations: ['76-21=55']
Exploring Operation: 16+27=43, Resulting Numbers: [55, 43]
Generated Node #0,0,0: 54:[55, 43] Operation: 16+27=43
Exploring Operation: 27-16=11, Resulting Numbers: [55, 11]
Generated Node #0,0,1: 54:[55, 11] Operation: 27-16=11
Exploring Operation: 55-27=28, Resulting Numbers: [16, 28]
Generated Node #0,0,2: 54:[16, 28] Operation: 55-27=28
Moving to Node #0,0,1
Current State: 54:[55, 11], Operations: ['76-21=55', '27-16=11']
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,54 unequal: No Solution
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,54 unequal: No Solution
Exploring Operation: 55+11=66, Resulting Numbers: [66]
66,54 unequal: No Solution
Moving to Node #0,0,2
Current State: 54:[16, 28], Operations: ['76-21=55', '55-27=28']
Exploring Operation: 16*28=448, Resulting Numbers: [448]
448,54 unequal: No Solution
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[55, 43], Operations: ['76-21=55', '16+27=43']
Exploring Operation: 55-43=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 55*43=2365, Resulting Numbers: [2365]
2365,54 unequal: No Solution
Exploring Operation: 55+43=98, Resulting Numbers: [98]
98,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[21, 27, 60], Operations: ['76-16=60']
Exploring Operation: 27-21=6, Resulting Numbers: [60, 6]
Generated Node #0,2,0: 54:[60, 6] Operation: 27-21=6
Exploring Operation: 60-27=33, Resulting Numbers: [21, 33]
Generated Node #0,2,1: 54:[21, 33] Operation: 60-27=33
Exploring Operation: 21+27=48, Resulting Numbers: [60, 48]
Generated Node #0,2,2: 54:[60, 48] Operation: 21+27=48
Moving to Node #0,2,0
Current State: 54:[60, 6], Operations: ['76-16=60', '27-21=6']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[21, 16, 76, 27], Operations: []
Exploring Operation: 76-16=60, Resulting Numbers: [21, 27, 60]
Generated Node #0,2: 54:[21, 27, 60] Operation: 76-16=60
Moving to Node #0,2
Current State: 54:[21, 27, 60], Operations: ['76-16=60']
Exploring Operation: 27-21=6, Resulting Numbers: [60, 6]
Generated Node #0,2,0: 54:[60, 6] Operation: 27-21=6
Moving to Node #0,2,0
Current State: 54:[60, 6], Operations: ['76-16=60', '27-21=6']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 |
hs_3
|
mult_heuristic
|
[
24,
5,
22,
41
] | 23 |
[
"24-22=2",
"5+41=46",
"46/2=23"
] |
Current State: 23:[24, 5, 22, 41], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [5, 41, 2]
Generated Node #2: [5, 41, 2] from Operation: 24-22=2
Current State: 23:[5, 41, 2], Operations: ['24-22=2']
Exploring Operation: 5+41=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 5+41=46
Current State: 23:[2, 46], Operations: ['24-22=2', '5+41=46']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
Current State: 23:[24, 5, 22, 41], Operations: []
Exploring Operation: 41-5=36, Resulting Numbers: [24, 22, 36]
Generated Node #0,0: 23:[24, 22, 36] Operation: 41-5=36
Exploring Operation: 24-5=19, Resulting Numbers: [22, 41, 19]
Generated Node #0,1: 23:[22, 41, 19] Operation: 24-5=19
Moving to Node #0,0
Current State: 23:[24, 22, 36], Operations: ['41-5=36']
Exploring Operation: 36-24=12, Resulting Numbers: [22, 12]
Generated Node #0,0,0: 23:[22, 12] Operation: 36-24=12
Exploring Operation: 36-22=14, Resulting Numbers: [24, 14]
Generated Node #0,0,1: 23:[24, 14] Operation: 36-22=14
Moving to Node #0,1
Current State: 23:[22, 41, 19], Operations: ['24-5=19']
Exploring Operation: 41-19=22, Resulting Numbers: [22, 22]
Generated Node #0,1,0: 23:[22, 22] Operation: 41-19=22
Exploring Operation: 41-22=19, Resulting Numbers: [19, 19]
Generated Node #0,1,1: 23:[19, 19] Operation: 41-22=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[22, 22], Operations: ['24-5=19', '41-19=22']
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,23 unequal: No Solution
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 23:[19, 19], Operations: ['24-5=19', '41-22=19']
Exploring Operation: 19+19=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 19/19=1, Resulting Numbers: [1]
1,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 23:[24, 14], Operations: ['41-5=36', '36-22=14']
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[22, 12], Operations: ['41-5=36', '36-24=12']
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,23 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
22,
33,
27,
40
] | 58 |
[
"22*27=594",
"594/33=18",
"40+18=58"
] |
Current State: 58:[22, 33, 27, 40], Operations: []
Exploring Operation: 22*27=594, Resulting Numbers: [33, 40, 594]
Generated Node #2: [33, 40, 594] from Operation: 22*27=594
Current State: 58:[33, 40, 594], Operations: ['22*27=594']
Exploring Operation: 594/33=18, Resulting Numbers: [40, 18]
Generated Node #3: [40, 18] from Operation: 594/33=18
Current State: 58:[40, 18], Operations: ['22*27=594', '594/33=18']
Exploring Operation: 40+18=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
Current State: 58:[22, 33, 27, 40], Operations: []
Exploring Operation: 22+40=62, Resulting Numbers: [33, 27, 62]
Generated Node #0,0: 58:[33, 27, 62] Operation: 22+40=62
Moving to Node #0,0
Current State: 58:[33, 27, 62], Operations: ['22+40=62']
Exploring Operation: 62-33=29, Resulting Numbers: [27, 29]
Generated Node #0,0,0: 58:[27, 29] Operation: 62-33=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[27, 29], Operations: ['22+40=62', '62-33=29']
Exploring Operation: 29-27=2, Resulting Numbers: [2]
2,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
37,
2,
75,
36
] | 75 |
[
"37-2=35",
"36-35=1",
"75*1=75"
] |
Current State: 75:[37, 2, 75, 36], Operations: []
Exploring Operation: 37-2=35, Resulting Numbers: [75, 36, 35]
Generated Node #2: [75, 36, 35] from Operation: 37-2=35
Current State: 75:[75, 36, 35], Operations: ['37-2=35']
Exploring Operation: 36-35=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 36-35=1
Current State: 75:[75, 1], Operations: ['37-2=35', '36-35=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[37, 2, 75, 36], Operations: []
Exploring Operation: 37+36=73, Resulting Numbers: [2, 75, 73]
Generated Node #0,0: 75:[2, 75, 73] Operation: 37+36=73
Moving to Node #0,0
Current State: 75:[2, 75, 73], Operations: ['37+36=73']
Exploring Operation: 2+73=75, Resulting Numbers: [75, 75]
Generated Node #0,0,0: 75:[75, 75] Operation: 2+73=75
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[75, 75], Operations: ['37+36=73', '2+73=75']
Exploring Operation: 75/75=1, Resulting Numbers: [1]
1,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
80,
69,
38,
43
] | 73 |
[
"80*38=3040",
"69*43=2967",
"3040-2967=73"
] |
Current State: 73:[80, 69, 38, 43], Operations: []
Exploring Operation: 80*38=3040, Resulting Numbers: [69, 43, 3040]
Generated Node #2: [69, 43, 3040] from Operation: 80*38=3040
Current State: 73:[69, 43, 3040], Operations: ['80*38=3040']
Exploring Operation: 69*43=2967, Resulting Numbers: [3040, 2967]
Generated Node #3: [3040, 2967] from Operation: 69*43=2967
Current State: 73:[3040, 2967], Operations: ['80*38=3040', '69*43=2967']
Exploring Operation: 3040-2967=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
Current State: 73:[80, 69, 38, 43], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [69, 43, 42]
Generated Node #0,0: 73:[69, 43, 42] Operation: 80-38=42
Exploring Operation: 38+43=81, Resulting Numbers: [80, 69, 81]
Generated Node #0,1: 73:[80, 69, 81] Operation: 38+43=81
Exploring Operation: 80-43=37, Resulting Numbers: [69, 38, 37]
Generated Node #0,2: 73:[69, 38, 37] Operation: 80-43=37
Exploring Operation: 69+38=107, Resulting Numbers: [80, 43, 107]
Generated Node #0,3: 73:[80, 43, 107] Operation: 69+38=107
Exploring Operation: 80+38=118, Resulting Numbers: [69, 43, 118]
Generated Node #0,4: 73:[69, 43, 118] Operation: 80+38=118
Moving to Node #0,1
Current State: 73:[80, 69, 81], Operations: ['38+43=81']
Exploring Operation: 81-69=12, Resulting Numbers: [80, 12]
Generated Node #0,1,0: 73:[80, 12] Operation: 81-69=12
Exploring Operation: 80-69=11, Resulting Numbers: [81, 11]
Generated Node #0,1,1: 73:[81, 11] Operation: 80-69=11
Exploring Operation: 81-80=1, Resulting Numbers: [69, 1]
Generated Node #0,1,2: 73:[69, 1] Operation: 81-80=1
Exploring Operation: 69+81=150, Resulting Numbers: [80, 150]
Generated Node #0,1,3: 73:[80, 150] Operation: 69+81=150
Exploring Operation: 80+69=149, Resulting Numbers: [81, 149]
Generated Node #0,1,4: 73:[81, 149] Operation: 80+69=149
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[80, 12], Operations: ['38+43=81', '81-69=12']
Exploring Operation: 80-12=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Exploring Operation: 80+12=92, Resulting Numbers: [92]
92,73 unequal: No Solution
Exploring Operation: 80*12=960, Resulting Numbers: [960]
960,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[81, 11], Operations: ['38+43=81', '80-69=11']
Exploring Operation: 81*11=891, Resulting Numbers: [891]
891,73 unequal: No Solution
Exploring Operation: 81-11=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 81+11=92, Resulting Numbers: [92]
92,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 73:[69, 1], Operations: ['38+43=81', '81-80=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 73:[80, 150], Operations: ['38+43=81', '69+81=150']
Exploring Operation: 80+150=230, Resulting Numbers: [230]
230,73 unequal: No Solution
Exploring Operation: 80*150=12000, Resulting Numbers: [12000]
12000,73 unequal: No Solution
Exploring Operation: 150-80=70, Resulting Numbers: [70]
70,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 73:[81, 149], Operations: ['38+43=81', '80+69=149']
Exploring Operation: 81*149=12069, Resulting Numbers: [12069]
12069,73 unequal: No Solution
Exploring Operation: 149-81=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Exploring Operation: 81+149=230, Resulting Numbers: [230]
230,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 73:[69, 43, 42], Operations: ['80-38=42']
Exploring Operation: 69+42=111, Resulting Numbers: [43, 111]
Generated Node #0,0,0: 73:[43, 111] Operation: 69+42=111
Exploring Operation: 69+43=112, Resulting Numbers: [42, 112]
Generated Node #0,0,1: 73:[42, 112] Operation: 69+43=112
Exploring Operation: 69-42=27, Resulting Numbers: [43, 27]
Generated Node #0,0,2: 73:[43, 27] Operation: 69-42=27
Exploring Operation: 43-42=1, Resulting Numbers: [69, 1]
Generated Node #0,0,3: 73:[69, 1] Operation: 43-42=1
Exploring Operation: 43+42=85, Resulting Numbers: [69, 85]
Generated Node #0,0,4: 73:[69, 85] Operation: 43+42=85
Moving to Node #0,3
Current State: 73:[80, 43, 107], Operations: ['69+38=107']
Exploring Operation: 107-80=27, Resulting Numbers: [43, 27]
Generated Node #0,3,0: 73:[43, 27] Operation: 107-80=27
Exploring Operation: 107-43=64, Resulting Numbers: [80, 64]
Generated Node #0,3,1: 73:[80, 64] Operation: 107-43=64
Exploring Operation: 80+43=123, Resulting Numbers: [107, 123]
Generated Node #0,3,2: 73:[107, 123] Operation: 80+43=123
Exploring Operation: 43+107=150, Resulting Numbers: [80, 150]
Generated Node #0,3,3: 73:[80, 150] Operation: 43+107=150
Exploring Operation: 80-43=37, Resulting Numbers: [107, 37]
Generated Node #0,3,4: 73:[107, 37] Operation: 80-43=37
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 73:[80, 64], Operations: ['69+38=107', '107-43=64']
Exploring Operation: 80+64=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 80-64=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 80*64=5120, Resulting Numbers: [5120]
5120,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 73:[107, 37], Operations: ['69+38=107', '80-43=37']
Exploring Operation: 107*37=3959, Resulting Numbers: [3959]
3959,73 unequal: No Solution
Exploring Operation: 107-37=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 107+37=144, Resulting Numbers: [144]
144,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[43, 27], Operations: ['69+38=107', '107-80=27']
Exploring Operation: 43+27=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 43*27=1161, Resulting Numbers: [1161]
1161,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[107, 123], Operations: ['69+38=107', '80+43=123']
Exploring Operation: 123-107=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 107*123=13161, Resulting Numbers: [13161]
13161,73 unequal: No Solution
Exploring Operation: 107+123=230, Resulting Numbers: [230]
230,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 73:[80, 150], Operations: ['69+38=107', '43+107=150']
Exploring Operation: 80+150=230, Resulting Numbers: [230]
230,73 unequal: No Solution
Exploring Operation: 150-80=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 80*150=12000, Resulting Numbers: [12000]
12000,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 73:[69, 38, 37], Operations: ['80-43=37']
Exploring Operation: 69+37=106, Resulting Numbers: [38, 106]
Generated Node #0,2,0: 73:[38, 106] Operation: 69+37=106
Exploring Operation: 38-37=1, Resulting Numbers: [69, 1]
Generated Node #0,2,1: 73:[69, 1] Operation: 38-37=1
Exploring Operation: 69+38=107, Resulting Numbers: [37, 107]
Generated Node #0,2,2: 73:[37, 107] Operation: 69+38=107
Exploring Operation: 69-37=32, Resulting Numbers: [38, 32]
Generated Node #0,2,3: 73:[38, 32] Operation: 69-37=32
Exploring Operation: 38+37=75, Resulting Numbers: [69, 75]
Generated Node #0,2,4: 73:[69, 75] Operation: 38+37=75
Moving to Node #0,4
Current State: 73:[69, 43, 118], Operations: ['80+38=118']
Exploring Operation: 43+118=161, Resulting Numbers: [69, 161]
Generated Node #0,4,0: 73:[69, 161] Operation: 43+118=161
Exploring Operation: 118-69=49, Resulting Numbers: [43, 49]
Generated Node #0,4,1: 73:[43, 49] Operation: 118-69=49
Exploring Operation: 69-43=26, Resulting Numbers: [118, 26]
Generated Node #0,4,2: 73:[118, 26] Operation: 69-43=26
Exploring Operation: 118-43=75, Resulting Numbers: [69, 75]
Generated Node #0,4,3: 73:[69, 75] Operation: 118-43=75
Exploring Operation: 69+43=112, Resulting Numbers: [118, 112]
Generated Node #0,4,4: 73:[118, 112] Operation: 69+43=112
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 73:[69, 75], Operations: ['80+38=118', '118-43=75']
Exploring Operation: 69+75=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 69*75=5175, Resulting Numbers: [5175]
5175,73 unequal: No Solution
Exploring Operation: 75-69=6, Resulting Numbers: [6]
6,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 73:[43, 49], Operations: ['80+38=118', '118-69=49']
Exploring Operation: 43+49=92, Resulting Numbers: [92]
92,73 unequal: No Solution
Exploring Operation: 49-43=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 43*49=2107, Resulting Numbers: [2107]
2107,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 73:[118, 112], Operations: ['80+38=118', '69+43=112']
Exploring Operation: 118-112=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 118*112=13216, Resulting Numbers: [13216]
13216,73 unequal: No Solution
Exploring Operation: 118+112=230, Resulting Numbers: [230]
230,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 73:[69, 161], Operations: ['80+38=118', '43+118=161']
Exploring Operation: 69*161=11109, Resulting Numbers: [11109]
11109,73 unequal: No Solution
Exploring Operation: 69+161=230, Resulting Numbers: [230]
230,73 unequal: No Solution
Exploring Operation: 161-69=92, Resulting Numbers: [92]
92,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 73:[118, 26], Operations: ['80+38=118', '69-43=26']
Exploring Operation: 118*26=3068, Resulting Numbers: [3068]
3068,73 unequal: No Solution
Exploring Operation: 118+26=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 118-26=92, Resulting Numbers: [92]
92,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,4
Current State: 73:[69, 75], Operations: ['80-43=37', '38+37=75']
Exploring Operation: 69+75=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 69*75=5175, Resulting Numbers: [5175]
5175,73 unequal: No Solution
Exploring Operation: 75-69=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[69, 85], Operations: ['80-38=42', '43+42=85']
Exploring Operation: 85-69=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 69*85=5865, Resulting Numbers: [5865]
5865,73 unequal: No Solution
Exploring Operation: 69+85=154, Resulting Numbers: [154]
154,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[38, 106], Operations: ['80-43=37', '69+37=106']
Exploring Operation: 106-38=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Exploring Operation: 38+106=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 38*106=4028, Resulting Numbers: [4028]
4028,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[43, 111], Operations: ['80-38=42', '69+42=111']
Exploring Operation: 111-43=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Exploring Operation: 43*111=4773, Resulting Numbers: [4773]
4773,73 unequal: No Solution
Exploring Operation: 43+111=154, Resulting Numbers: [154]
154,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[42, 112], Operations: ['80-38=42', '69+43=112']
Exploring Operation: 42+112=154, Resulting Numbers: [154]
154,73 unequal: No Solution
Exploring Operation: 112-42=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 42*112=4704, Resulting Numbers: [4704]
4704,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[37, 107], Operations: ['80-43=37', '69+38=107']
Exploring Operation: 37+107=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 37*107=3959, Resulting Numbers: [3959]
3959,73 unequal: No Solution
Exploring Operation: 107-37=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[69, 1], Operations: ['80-43=37', '38-37=1']
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[38, 32], Operations: ['80-43=37', '69-37=32']
Exploring Operation: 38*32=1216, Resulting Numbers: [1216]
1216,73 unequal: No Solution
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[69, 1], Operations: ['80-38=42', '43-42=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[43, 27], Operations: ['80-38=42', '69-42=27']
Exploring Operation: 43+27=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 43*27=1161, Resulting Numbers: [1161]
1161,73 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
93,
13,
43,
56
] | 67 |
[
"93-13=80",
"56-43=13",
"80-13=67"
] |
Current State: 67:[93, 13, 43, 56], Operations: []
Exploring Operation: 93-13=80, Resulting Numbers: [43, 56, 80]
Generated Node #2: [43, 56, 80] from Operation: 93-13=80
Current State: 67:[43, 56, 80], Operations: ['93-13=80']
Exploring Operation: 56-43=13, Resulting Numbers: [80, 13]
Generated Node #3: [80, 13] from Operation: 56-43=13
Current State: 67:[80, 13], Operations: ['93-13=80', '56-43=13']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[93, 13, 43, 56], Operations: []
Exploring Operation: 13+56=69, Resulting Numbers: [93, 43, 69]
Generated Node #0,0: 67:[93, 43, 69] Operation: 13+56=69
Exploring Operation: 93+13=106, Resulting Numbers: [43, 56, 106]
Generated Node #0,1: 67:[43, 56, 106] Operation: 93+13=106
Exploring Operation: 43-13=30, Resulting Numbers: [93, 56, 30]
Generated Node #0,2: 67:[93, 56, 30] Operation: 43-13=30
Exploring Operation: 93-13=80, Resulting Numbers: [43, 56, 80]
Generated Node #0,3: 67:[43, 56, 80] Operation: 93-13=80
Exploring Operation: 13+43=56, Resulting Numbers: [93, 56, 56]
Generated Node #0,4: 67:[93, 56, 56] Operation: 13+43=56
Start Sub Search at level 1: Moving to Node #0,3
Current State: 67:[43, 56, 80], Operations: ['93-13=80']
Exploring Operation: 80-43=37, Resulting Numbers: [56, 37]
Generated Node #0,3,0: 67:[56, 37] Operation: 80-43=37
Exploring Operation: 80-56=24, Resulting Numbers: [43, 24]
Generated Node #0,3,1: 67:[43, 24] Operation: 80-56=24
Exploring Operation: 43+80=123, Resulting Numbers: [56, 123]
Generated Node #0,3,2: 67:[56, 123] Operation: 43+80=123
Exploring Operation: 43+56=99, Resulting Numbers: [80, 99]
Generated Node #0,3,3: 67:[80, 99] Operation: 43+56=99
Exploring Operation: 56-43=13, Resulting Numbers: [80, 13]
Generated Node #0,3,4: 67:[80, 13] Operation: 56-43=13
Moving to Node #0,3,0
Current State: 67:[56, 37], Operations: ['93-13=80', '80-43=37']
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 56*37=2072, Resulting Numbers: [2072]
2072,67 unequal: No Solution
Exploring Operation: 56+37=93, Resulting Numbers: [93]
93,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[80, 99], Operations: ['93-13=80', '43+56=99']
Exploring Operation: 99-80=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 80*99=7920, Resulting Numbers: [7920]
7920,67 unequal: No Solution
Exploring Operation: 80+99=179, Resulting Numbers: [179]
179,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[43, 24], Operations: ['93-13=80', '80-56=24']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 43*24=1032, Resulting Numbers: [1032]
1032,67 unequal: No Solution
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[93, 13, 43, 56], Operations: []
Exploring Operation: 93-13=80, Resulting Numbers: [43, 56, 80]
Generated Node #0,3: 67:[43, 56, 80] Operation: 93-13=80
Moving to Node #0,3
Current State: 67:[43, 56, 80], Operations: ['93-13=80']
Exploring Operation: 80-56=24, Resulting Numbers: [43, 24]
Generated Node #0,3,1: 67:[43, 24] Operation: 80-56=24
Moving to Node #0,3,1
Current State: 67:[43, 24], Operations: ['93-13=80', '80-56=24']
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 |
hs_5
|
mult_heuristic
|
[
86,
64,
87,
36
] | 99 |
[
"86+64=150",
"87-36=51",
"150-51=99"
] |
Current State: 99:[86, 64, 87, 36], Operations: []
Exploring Operation: 86+64=150, Resulting Numbers: [87, 36, 150]
Generated Node #2: [87, 36, 150] from Operation: 86+64=150
Current State: 99:[87, 36, 150], Operations: ['86+64=150']
Exploring Operation: 87-36=51, Resulting Numbers: [150, 51]
Generated Node #3: [150, 51] from Operation: 87-36=51
Current State: 99:[150, 51], Operations: ['86+64=150', '87-36=51']
Exploring Operation: 150-51=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
Current State: 99:[86, 64, 87, 36], Operations: []
Exploring Operation: 64-36=28, Resulting Numbers: [86, 87, 28]
Generated Node #0,0: 99:[86, 87, 28] Operation: 64-36=28
Exploring Operation: 86-64=22, Resulting Numbers: [87, 36, 22]
Generated Node #0,1: 99:[87, 36, 22] Operation: 86-64=22
Exploring Operation: 64+36=100, Resulting Numbers: [86, 87, 100]
Generated Node #0,2: 99:[86, 87, 100] Operation: 64+36=100
Exploring Operation: 87-64=23, Resulting Numbers: [86, 36, 23]
Generated Node #0,3: 99:[86, 36, 23] Operation: 87-64=23
Moving to Node #0,1
Current State: 99:[87, 36, 22], Operations: ['86-64=22']
Exploring Operation: 87+22=109, Resulting Numbers: [36, 109]
Generated Node #0,1,0: 99:[36, 109] Operation: 87+22=109
Exploring Operation: 87+36=123, Resulting Numbers: [22, 123]
Generated Node #0,1,1: 99:[22, 123] Operation: 87+36=123
Exploring Operation: 87-36=51, Resulting Numbers: [22, 51]
Generated Node #0,1,2: 99:[22, 51] Operation: 87-36=51
Exploring Operation: 36-22=14, Resulting Numbers: [87, 14]
Generated Node #0,1,3: 99:[87, 14] Operation: 36-22=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[36, 109], Operations: ['86-64=22', '87+22=109']
Exploring Operation: 36+109=145, Resulting Numbers: [145]
145,99 unequal: No Solution
Exploring Operation: 36*109=3924, Resulting Numbers: [3924]
3924,99 unequal: No Solution
Exploring Operation: 109-36=73, Resulting Numbers: [73]
73,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 99:[87, 14], Operations: ['86-64=22', '36-22=14']
Exploring Operation: 87+14=101, Resulting Numbers: [101]
101,99 unequal: No Solution
Exploring Operation: 87*14=1218, Resulting Numbers: [1218]
1218,99 unequal: No Solution
Exploring Operation: 87-14=73, Resulting Numbers: [73]
73,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 99:[22, 51], Operations: ['86-64=22', '87-36=51']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Exploring Operation: 22*51=1122, Resulting Numbers: [1122]
1122,99 unequal: No Solution
Exploring Operation: 22+51=73, Resulting Numbers: [73]
73,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[22, 123], Operations: ['86-64=22', '87+36=123']
Exploring Operation: 123-22=101, Resulting Numbers: [101]
101,99 unequal: No Solution
Exploring Operation: 22*123=2706, Resulting Numbers: [2706]
2706,99 unequal: No Solution
Exploring Operation: 22+123=145, Resulting Numbers: [145]
145,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 99:[86, 36, 23], Operations: ['87-64=23']
Exploring Operation: 86-36=50, Resulting Numbers: [23, 50]
Generated Node #0,3,0: 99:[23, 50] Operation: 86-36=50
Exploring Operation: 86+23=109, Resulting Numbers: [36, 109]
Generated Node #0,3,1: 99:[36, 109] Operation: 86+23=109
Exploring Operation: 86+36=122, Resulting Numbers: [23, 122]
Generated Node #0,3,2: 99:[23, 122] Operation: 86+36=122
Exploring Operation: 36-23=13, Resulting Numbers: [86, 13]
Generated Node #0,3,3: 99:[86, 13] Operation: 36-23=13
Moving to Node #0,2
Current State: 99:[86, 87, 100], Operations: ['64+36=100']
Exploring Operation: 86+87=173, Resulting Numbers: [100, 173]
Generated Node #0,2,0: 99:[100, 173] Operation: 86+87=173
Exploring Operation: 100-86=14, Resulting Numbers: [87, 14]
Generated Node #0,2,1: 99:[87, 14] Operation: 100-86=14
Exploring Operation: 87-86=1, Resulting Numbers: [100, 1]
Generated Node #0,2,2: 99:[100, 1] Operation: 87-86=1
Exploring Operation: 100-87=13, Resulting Numbers: [86, 13]
Generated Node #0,2,3: 99:[86, 13] Operation: 100-87=13
Moving to Node #0,0
Current State: 99:[86, 87, 28], Operations: ['64-36=28']
Exploring Operation: 87+28=115, Resulting Numbers: [86, 115]
Generated Node #0,0,0: 99:[86, 115] Operation: 87+28=115
Exploring Operation: 86+28=114, Resulting Numbers: [87, 114]
Generated Node #0,0,1: 99:[87, 114] Operation: 86+28=114
Exploring Operation: 86-28=58, Resulting Numbers: [87, 58]
Generated Node #0,0,2: 99:[87, 58] Operation: 86-28=58
Exploring Operation: 87-86=1, Resulting Numbers: [28, 1]
Generated Node #0,0,3: 99:[28, 1] Operation: 87-86=1
Moving to Node #0,2,2
Current State: 99:[100, 1], Operations: ['64+36=100', '87-86=1']
Exploring Operation: 100/1=100, Resulting Numbers: [100]
100,99 unequal: No Solution
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[86, 64, 87, 36], Operations: []
Exploring Operation: 64+36=100, Resulting Numbers: [86, 87, 100]
Generated Node #0,2: 99:[86, 87, 100] Operation: 64+36=100
Moving to Node #0,2
Current State: 99:[86, 87, 100], Operations: ['64+36=100']
Exploring Operation: 87-86=1, Resulting Numbers: [100, 1]
Generated Node #0,2,2: 99:[100, 1] Operation: 87-86=1
Moving to Node #0,2,2
Current State: 99:[100, 1], Operations: ['64+36=100', '87-86=1']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.967014 |
hs_4
|
mult_heuristic
|
[
26,
79,
38,
2
] | 73 |
[
"38-26=12",
"12/2=6",
"79-6=73"
] |
Current State: 73:[26, 79, 38, 2], Operations: []
Exploring Operation: 38-26=12, Resulting Numbers: [79, 2, 12]
Generated Node #2: [79, 2, 12] from Operation: 38-26=12
Current State: 73:[79, 2, 12], Operations: ['38-26=12']
Exploring Operation: 12/2=6, Resulting Numbers: [79, 6]
Generated Node #3: [79, 6] from Operation: 12/2=6
Current State: 73:[79, 6], Operations: ['38-26=12', '12/2=6']
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
Current State: 73:[26, 79, 38, 2], Operations: []
Exploring Operation: 26*2=52, Resulting Numbers: [79, 38, 52]
Generated Node #0,0: 73:[79, 38, 52] Operation: 26*2=52
Exploring Operation: 38*2=76, Resulting Numbers: [26, 79, 76]
Generated Node #0,1: 73:[26, 79, 76] Operation: 38*2=76
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[26, 79, 76], Operations: ['38*2=76']
Exploring Operation: 76-26=50, Resulting Numbers: [79, 50]
Generated Node #0,1,0: 73:[79, 50] Operation: 76-26=50
Exploring Operation: 79-26=53, Resulting Numbers: [76, 53]
Generated Node #0,1,1: 73:[76, 53] Operation: 79-26=53
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[76, 53], Operations: ['38*2=76', '79-26=53']
Exploring Operation: 76+53=129, Resulting Numbers: [129]
129,73 unequal: No Solution
Exploring Operation: 76-53=23, Resulting Numbers: [23]
23,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[79, 50], Operations: ['38*2=76', '76-26=50']
Exploring Operation: 79-50=29, Resulting Numbers: [29]
29,73 unequal: No Solution
Exploring Operation: 79+50=129, Resulting Numbers: [129]
129,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[79, 38, 52], Operations: ['26*2=52']
Exploring Operation: 79-38=41, Resulting Numbers: [52, 41]
Generated Node #0,0,0: 73:[52, 41] Operation: 79-38=41
Exploring Operation: 38+52=90, Resulting Numbers: [79, 90]
Generated Node #0,0,1: 73:[79, 90] Operation: 38+52=90
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[79, 90], Operations: ['26*2=52', '38+52=90']
Exploring Operation: 90-79=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Exploring Operation: 79+90=169, Resulting Numbers: [169]
169,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[52, 41], Operations: ['26*2=52', '79-38=41']
Exploring Operation: 52+41=93, Resulting Numbers: [93]
93,73 unequal: No Solution
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
26,
22,
72,
31
] | 99 |
[
"26-22=4",
"72+31=103",
"103-4=99"
] |
Current State: 99:[26, 22, 72, 31], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [72, 31, 4]
Generated Node #2: [72, 31, 4] from Operation: 26-22=4
Current State: 99:[72, 31, 4], Operations: ['26-22=4']
Exploring Operation: 72+31=103, Resulting Numbers: [4, 103]
Generated Node #3: [4, 103] from Operation: 72+31=103
Current State: 99:[4, 103], Operations: ['26-22=4', '72+31=103']
Exploring Operation: 103-4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
Current State: 99:[26, 22, 72, 31], Operations: []
Exploring Operation: 26+72=98, Resulting Numbers: [22, 31, 98]
Generated Node #0,0: 99:[22, 31, 98] Operation: 26+72=98
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[22, 31, 98], Operations: ['26+72=98']
Exploring Operation: 31-22=9, Resulting Numbers: [98, 9]
Generated Node #0,0,0: 99:[98, 9] Operation: 31-22=9
Moving to Node #0,0,0
Current State: 99:[98, 9], Operations: ['26+72=98', '31-22=9']
Exploring Operation: 98+9=107, Resulting Numbers: [107]
107,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
11,
98,
75,
3
] | 37 |
[
"11+98=109",
"75-3=72",
"109-72=37"
] |
Current State: 37:[11, 98, 75, 3], Operations: []
Exploring Operation: 11+98=109, Resulting Numbers: [75, 3, 109]
Generated Node #2: [75, 3, 109] from Operation: 11+98=109
Current State: 37:[75, 3, 109], Operations: ['11+98=109']
Exploring Operation: 75-3=72, Resulting Numbers: [109, 72]
Generated Node #3: [109, 72] from Operation: 75-3=72
Current State: 37:[109, 72], Operations: ['11+98=109', '75-3=72']
Exploring Operation: 109-72=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
Current State: 37:[11, 98, 75, 3], Operations: []
Exploring Operation: 98-75=23, Resulting Numbers: [11, 3, 23]
Generated Node #0,0: 37:[11, 3, 23] Operation: 98-75=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[11, 3, 23], Operations: ['98-75=23']
Exploring Operation: 11*3=33, Resulting Numbers: [23, 33]
Generated Node #0,0,0: 37:[23, 33] Operation: 11*3=33
Moving to Node #0,0,0
Current State: 37:[23, 33], Operations: ['98-75=23', '11*3=33']
Exploring Operation: 23+33=56, Resulting Numbers: [56]
56,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
27,
35,
32,
34
] | 38 |
[
"35-27=8",
"32/8=4",
"34+4=38"
] |
Current State: 38:[27, 35, 32, 34], Operations: []
Exploring Operation: 35-27=8, Resulting Numbers: [32, 34, 8]
Generated Node #2: [32, 34, 8] from Operation: 35-27=8
Current State: 38:[32, 34, 8], Operations: ['35-27=8']
Exploring Operation: 32/8=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 32/8=4
Current State: 38:[34, 4], Operations: ['35-27=8', '32/8=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
Current State: 38:[27, 35, 32, 34], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [27, 35, 2]
Generated Node #0,0: 38:[27, 35, 2] Operation: 34-32=2
Exploring Operation: 32-27=5, Resulting Numbers: [35, 34, 5]
Generated Node #0,1: 38:[35, 34, 5] Operation: 32-27=5
Moving to Node #0,1
Current State: 38:[35, 34, 5], Operations: ['32-27=5']
Exploring Operation: 35-34=1, Resulting Numbers: [5, 1]
Generated Node #0,1,0: 38:[5, 1] Operation: 35-34=1
Exploring Operation: 34+5=39, Resulting Numbers: [35, 39]
Generated Node #0,1,1: 38:[35, 39] Operation: 34+5=39
Moving to Node #0,0
Current State: 38:[27, 35, 2], Operations: ['34-32=2']
Exploring Operation: 27-2=25, Resulting Numbers: [35, 25]
Generated Node #0,0,0: 38:[35, 25] Operation: 27-2=25
Exploring Operation: 35-27=8, Resulting Numbers: [2, 8]
Generated Node #0,0,1: 38:[2, 8] Operation: 35-27=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[2, 8], Operations: ['34-32=2', '35-27=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[35, 25], Operations: ['34-32=2', '27-2=25']
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,38 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 38:[5, 1], Operations: ['32-27=5', '35-34=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[35, 39], Operations: ['32-27=5', '34+5=39']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,38 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
22,
58,
70,
10
] | 78 |
[
"22+58=80",
"80/10=8",
"70+8=78"
] |
Current State: 78:[22, 58, 70, 10], Operations: []
Exploring Operation: 22+58=80, Resulting Numbers: [70, 10, 80]
Generated Node #2: [70, 10, 80] from Operation: 22+58=80
Current State: 78:[70, 10, 80], Operations: ['22+58=80']
Exploring Operation: 80/10=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 80/10=8
Current State: 78:[70, 8], Operations: ['22+58=80', '80/10=8']
Exploring Operation: 70+8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Current State: 78:[22, 58, 70, 10], Operations: []
Exploring Operation: 22+58=80, Resulting Numbers: [70, 10, 80]
Generated Node #0,0: 78:[70, 10, 80] Operation: 22+58=80
Exploring Operation: 70-58=12, Resulting Numbers: [22, 10, 12]
Generated Node #0,1: 78:[22, 10, 12] Operation: 70-58=12
Moving to Node #0,1
Current State: 78:[22, 10, 12], Operations: ['70-58=12']
Exploring Operation: 22-10=12, Resulting Numbers: [12, 12]
Generated Node #0,1,0: 78:[12, 12] Operation: 22-10=12
Exploring Operation: 12-10=2, Resulting Numbers: [22, 2]
Generated Node #0,1,1: 78:[22, 2] Operation: 12-10=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[12, 12], Operations: ['70-58=12', '22-10=12']
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[22, 2], Operations: ['70-58=12', '12-10=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 78:[70, 10, 80], Operations: ['22+58=80']
Exploring Operation: 70/10=7, Resulting Numbers: [80, 7]
Generated Node #0,0,0: 78:[80, 7] Operation: 70/10=7
Exploring Operation: 70+10=80, Resulting Numbers: [80, 80]
Generated Node #0,0,1: 78:[80, 80] Operation: 70+10=80
Moving to Node #0,0,0
Current State: 78:[80, 7], Operations: ['22+58=80', '70/10=7']
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,78 unequal: No Solution
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[80, 80], Operations: ['22+58=80', '70+10=80']
Exploring Operation: 80-80=0, Resulting Numbers: [0]
0,78 unequal: No Solution
Exploring Operation: 80/80=1, Resulting Numbers: [1]
1,78 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
34,
47,
45,
81
] | 49 |
[
"47-34=13",
"81-45=36",
"13+36=49"
] |
Current State: 49:[34, 47, 45, 81], Operations: []
Exploring Operation: 47-34=13, Resulting Numbers: [45, 81, 13]
Generated Node #2: [45, 81, 13] from Operation: 47-34=13
Current State: 49:[45, 81, 13], Operations: ['47-34=13']
Exploring Operation: 81-45=36, Resulting Numbers: [13, 36]
Generated Node #3: [13, 36] from Operation: 81-45=36
Current State: 49:[13, 36], Operations: ['47-34=13', '81-45=36']
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
Current State: 49:[34, 47, 45, 81], Operations: []
Exploring Operation: 45-34=11, Resulting Numbers: [47, 81, 11]
Generated Node #0,0: 49:[47, 81, 11] Operation: 45-34=11
Exploring Operation: 81-34=47, Resulting Numbers: [47, 45, 47]
Generated Node #0,1: 49:[47, 45, 47] Operation: 81-34=47
Exploring Operation: 81-45=36, Resulting Numbers: [34, 47, 36]
Generated Node #0,2: 49:[34, 47, 36] Operation: 81-45=36
Exploring Operation: 81-47=34, Resulting Numbers: [34, 45, 34]
Generated Node #0,3: 49:[34, 45, 34] Operation: 81-47=34
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[47, 45, 47], Operations: ['81-34=47']
Exploring Operation: 47-47=0, Resulting Numbers: [45, 0]
Generated Node #0,1,0: 49:[45, 0] Operation: 47-47=0
Exploring Operation: 47-45=2, Resulting Numbers: [47, 2]
Generated Node #0,1,1: 49:[47, 2] Operation: 47-45=2
Exploring Operation: 47/47=1, Resulting Numbers: [45, 1]
Generated Node #0,1,2: 49:[45, 1] Operation: 47/47=1
Exploring Operation: 47-45=2, Resulting Numbers: [47, 2]
Generated Node #0,1,3: 49:[47, 2] Operation: 47-45=2
Moving to Node #0,1,1
Current State: 49:[47, 2], Operations: ['81-34=47', '47-45=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[34, 47, 45, 81], Operations: []
Exploring Operation: 81-34=47, Resulting Numbers: [47, 45, 47]
Generated Node #0,1: 49:[47, 45, 47] Operation: 81-34=47
Moving to Node #0,1
Current State: 49:[47, 45, 47], Operations: ['81-34=47']
Exploring Operation: 47-45=2, Resulting Numbers: [47, 2]
Generated Node #0,1,1: 49:[47, 2] Operation: 47-45=2
Moving to Node #0,1,1
Current State: 49:[47, 2], Operations: ['81-34=47', '47-45=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 |
hs_4
|
mult_heuristic
|
[
46,
57,
44,
52
] | 62 |
[
"46-44=2",
"57*2=114",
"114-52=62"
] |
Current State: 62:[46, 57, 44, 52], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [57, 52, 2]
Generated Node #2: [57, 52, 2] from Operation: 46-44=2
Current State: 62:[57, 52, 2], Operations: ['46-44=2']
Exploring Operation: 57*2=114, Resulting Numbers: [52, 114]
Generated Node #3: [52, 114] from Operation: 57*2=114
Current State: 62:[52, 114], Operations: ['46-44=2', '57*2=114']
Exploring Operation: 114-52=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
Current State: 62:[46, 57, 44, 52], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [57, 44, 6]
Generated Node #0,0: 62:[57, 44, 6] Operation: 52-46=6
Exploring Operation: 52-44=8, Resulting Numbers: [46, 57, 8]
Generated Node #0,1: 62:[46, 57, 8] Operation: 52-44=8
Exploring Operation: 46-44=2, Resulting Numbers: [57, 52, 2]
Generated Node #0,2: 62:[57, 52, 2] Operation: 46-44=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[57, 52, 2], Operations: ['46-44=2']
Exploring Operation: 52/2=26, Resulting Numbers: [57, 26]
Generated Node #0,2,0: 62:[57, 26] Operation: 52/2=26
Exploring Operation: 57-52=5, Resulting Numbers: [2, 5]
Generated Node #0,2,1: 62:[2, 5] Operation: 57-52=5
Exploring Operation: 57+2=59, Resulting Numbers: [52, 59]
Generated Node #0,2,2: 62:[52, 59] Operation: 57+2=59
Moving to Node #0,2,1
Current State: 62:[2, 5], Operations: ['46-44=2', '57-52=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,62 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Moving to Node #0,2,0
Current State: 62:[57, 26], Operations: ['46-44=2', '52/2=26']
Exploring Operation: 57*26=1482, Resulting Numbers: [1482]
1482,62 unequal: No Solution
Exploring Operation: 57+26=83, Resulting Numbers: [83]
83,62 unequal: No Solution
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[52, 59], Operations: ['46-44=2', '57+2=59']
Exploring Operation: 52*59=3068, Resulting Numbers: [3068]
3068,62 unequal: No Solution
Exploring Operation: 59-52=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 52+59=111, Resulting Numbers: [111]
111,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[57, 44, 6], Operations: ['52-46=6']
Exploring Operation: 57-44=13, Resulting Numbers: [6, 13]
Generated Node #0,0,0: 62:[6, 13] Operation: 57-44=13
Exploring Operation: 57+6=63, Resulting Numbers: [44, 63]
Generated Node #0,0,1: 62:[44, 63] Operation: 57+6=63
Exploring Operation: 44-6=38, Resulting Numbers: [57, 38]
Generated Node #0,0,2: 62:[57, 38] Operation: 44-6=38
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 62:[57, 38], Operations: ['52-46=6', '44-6=38']
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,62 unequal: No Solution
Exploring Operation: 57*38=2166, Resulting Numbers: [2166]
2166,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[44, 63], Operations: ['52-46=6', '57+6=63']
Exploring Operation: 44+63=107, Resulting Numbers: [107]
107,62 unequal: No Solution
Exploring Operation: 44*63=2772, Resulting Numbers: [2772]
2772,62 unequal: No Solution
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[6, 13], Operations: ['52-46=6', '57-44=13']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,62 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[46, 57, 8], Operations: ['52-44=8']
Exploring Operation: 46-8=38, Resulting Numbers: [57, 38]
Generated Node #0,1,0: 62:[57, 38] Operation: 46-8=38
Exploring Operation: 57-46=11, Resulting Numbers: [8, 11]
Generated Node #0,1,1: 62:[8, 11] Operation: 57-46=11
Exploring Operation: 46+8=54, Resulting Numbers: [57, 54]
Generated Node #0,1,2: 62:[57, 54] Operation: 46+8=54
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[57, 38], Operations: ['52-44=8', '46-8=38']
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,62 unequal: No Solution
Exploring Operation: 57*38=2166, Resulting Numbers: [2166]
2166,62 unequal: No Solution
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 62:[57, 54], Operations: ['52-44=8', '46+8=54']
Exploring Operation: 57*54=3078, Resulting Numbers: [3078]
3078,62 unequal: No Solution
Exploring Operation: 57+54=111, Resulting Numbers: [111]
111,62 unequal: No Solution
Exploring Operation: 57-54=3, Resulting Numbers: [3]
3,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 62:[8, 11], Operations: ['52-44=8', '57-46=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,62 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
46,
82,
95,
4
] | 37 |
[
"46+82=128",
"95-4=91",
"128-91=37"
] |
Current State: 37:[46, 82, 95, 4], Operations: []
Exploring Operation: 46+82=128, Resulting Numbers: [95, 4, 128]
Generated Node #2: [95, 4, 128] from Operation: 46+82=128
Current State: 37:[95, 4, 128], Operations: ['46+82=128']
Exploring Operation: 95-4=91, Resulting Numbers: [128, 91]
Generated Node #3: [128, 91] from Operation: 95-4=91
Current State: 37:[128, 91], Operations: ['46+82=128', '95-4=91']
Exploring Operation: 128-91=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
Current State: 37:[46, 82, 95, 4], Operations: []
Exploring Operation: 95-46=49, Resulting Numbers: [82, 4, 49]
Generated Node #0,0: 37:[82, 4, 49] Operation: 95-46=49
Exploring Operation: 95-82=13, Resulting Numbers: [46, 4, 13]
Generated Node #0,1: 37:[46, 4, 13] Operation: 95-82=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[46, 4, 13], Operations: ['95-82=13']
Exploring Operation: 46-4=42, Resulting Numbers: [13, 42]
Generated Node #0,1,0: 37:[13, 42] Operation: 46-4=42
Exploring Operation: 4*13=52, Resulting Numbers: [46, 52]
Generated Node #0,1,1: 37:[46, 52] Operation: 4*13=52
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 37:[46, 52], Operations: ['95-82=13', '4*13=52']
Exploring Operation: 52-46=6, Resulting Numbers: [6]
6,37 unequal: No Solution
Exploring Operation: 46+52=98, Resulting Numbers: [98]
98,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[13, 42], Operations: ['95-82=13', '46-4=42']
Exploring Operation: 13+42=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[82, 4, 49], Operations: ['95-46=49']
Exploring Operation: 82-4=78, Resulting Numbers: [49, 78]
Generated Node #0,0,0: 37:[49, 78] Operation: 82-4=78
Exploring Operation: 82-49=33, Resulting Numbers: [4, 33]
Generated Node #0,0,1: 37:[4, 33] Operation: 82-49=33
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 37:[4, 33], Operations: ['95-46=49', '82-49=33']
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[46, 82, 95, 4], Operations: []
Exploring Operation: 95-46=49, Resulting Numbers: [82, 4, 49]
Generated Node #0,0: 37:[82, 4, 49] Operation: 95-46=49
Moving to Node #0,0
Current State: 37:[82, 4, 49], Operations: ['95-46=49']
Exploring Operation: 82-49=33, Resulting Numbers: [4, 33]
Generated Node #0,0,1: 37:[4, 33] Operation: 82-49=33
Moving to Node #0,0,1
Current State: 37:[4, 33], Operations: ['95-46=49', '82-49=33']
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 |
hs_2
|
mult_heuristic
|
[
28,
4,
64,
74
] | 76 |
[
"28+4=32",
"64/32=2",
"74+2=76"
] |
Current State: 76:[28, 4, 64, 74], Operations: []
Exploring Operation: 28+4=32, Resulting Numbers: [64, 74, 32]
Generated Node #2: [64, 74, 32] from Operation: 28+4=32
Current State: 76:[64, 74, 32], Operations: ['28+4=32']
Exploring Operation: 64/32=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 64/32=2
Current State: 76:[74, 2], Operations: ['28+4=32', '64/32=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
Current State: 76:[28, 4, 64, 74], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [28, 4, 10]
Generated Node #0,0: 76:[28, 4, 10] Operation: 74-64=10
Exploring Operation: 64/4=16, Resulting Numbers: [28, 74, 16]
Generated Node #0,1: 76:[28, 74, 16] Operation: 64/4=16
Exploring Operation: 64-28=36, Resulting Numbers: [4, 74, 36]
Generated Node #0,2: 76:[4, 74, 36] Operation: 64-28=36
Moving to Node #0,2
Current State: 76:[4, 74, 36], Operations: ['64-28=36']
Exploring Operation: 4+36=40, Resulting Numbers: [74, 40]
Generated Node #0,2,0: 76:[74, 40] Operation: 4+36=40
Exploring Operation: 74-36=38, Resulting Numbers: [4, 38]
Generated Node #0,2,1: 76:[4, 38] Operation: 74-36=38
Exploring Operation: 4+74=78, Resulting Numbers: [36, 78]
Generated Node #0,2,2: 76:[36, 78] Operation: 4+74=78
Moving to Node #0,1
Current State: 76:[28, 74, 16], Operations: ['64/4=16']
Exploring Operation: 28-16=12, Resulting Numbers: [74, 12]
Generated Node #0,1,0: 76:[74, 12] Operation: 28-16=12
Exploring Operation: 28+16=44, Resulting Numbers: [74, 44]
Generated Node #0,1,1: 76:[74, 44] Operation: 28+16=44
Exploring Operation: 74-28=46, Resulting Numbers: [16, 46]
Generated Node #0,1,2: 76:[16, 46] Operation: 74-28=46
Moving to Node #0,0
Current State: 76:[28, 4, 10], Operations: ['74-64=10']
Exploring Operation: 28/4=7, Resulting Numbers: [10, 7]
Generated Node #0,0,0: 76:[10, 7] Operation: 28/4=7
Exploring Operation: 28+10=38, Resulting Numbers: [4, 38]
Generated Node #0,0,1: 76:[4, 38] Operation: 28+10=38
Exploring Operation: 28-10=18, Resulting Numbers: [4, 18]
Generated Node #0,0,2: 76:[4, 18] Operation: 28-10=18
Moving to Node #0,2,1
Current State: 76:[4, 38], Operations: ['64-28=36', '74-36=38']
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[4, 38], Operations: ['74-64=10', '28+10=38']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[4, 18], Operations: ['74-64=10', '28-10=18']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,76 unequal: No Solution
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[36, 78], Operations: ['64-28=36', '4+74=78']
Exploring Operation: 78-36=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 36+78=114, Resulting Numbers: [114]
114,76 unequal: No Solution
Exploring Operation: 36*78=2808, Resulting Numbers: [2808]
2808,76 unequal: No Solution
Moving to Node #0,2,0
Current State: 76:[74, 40], Operations: ['64-28=36', '4+36=40']
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 74+40=114, Resulting Numbers: [114]
114,76 unequal: No Solution
Exploring Operation: 74*40=2960, Resulting Numbers: [2960]
2960,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[74, 44], Operations: ['64/4=16', '28+16=44']
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 74*44=3256, Resulting Numbers: [3256]
3256,76 unequal: No Solution
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[10, 7], Operations: ['74-64=10', '28/4=7']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[74, 12], Operations: ['64/4=16', '28-16=12']
Exploring Operation: 74+12=86, Resulting Numbers: [86]
86,76 unequal: No Solution
Exploring Operation: 74*12=888, Resulting Numbers: [888]
888,76 unequal: No Solution
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[16, 46], Operations: ['64/4=16', '74-28=46']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,76 unequal: No Solution
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,76 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
65,
85,
43,
34
] | 95 |
[
"65*43=2795",
"85*34=2890",
"2890-2795=95"
] |
Current State: 95:[65, 85, 43, 34], Operations: []
Exploring Operation: 65*43=2795, Resulting Numbers: [85, 34, 2795]
Generated Node #2: [85, 34, 2795] from Operation: 65*43=2795
Current State: 95:[85, 34, 2795], Operations: ['65*43=2795']
Exploring Operation: 85*34=2890, Resulting Numbers: [2795, 2890]
Generated Node #3: [2795, 2890] from Operation: 85*34=2890
Current State: 95:[2795, 2890], Operations: ['65*43=2795', '85*34=2890']
Exploring Operation: 2890-2795=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
Current State: 95:[65, 85, 43, 34], Operations: []
Exploring Operation: 65-43=22, Resulting Numbers: [85, 34, 22]
Generated Node #0,0: 95:[85, 34, 22] Operation: 65-43=22
Exploring Operation: 65+34=99, Resulting Numbers: [85, 43, 99]
Generated Node #0,1: 95:[85, 43, 99] Operation: 65+34=99
Exploring Operation: 65+43=108, Resulting Numbers: [85, 34, 108]
Generated Node #0,2: 95:[85, 34, 108] Operation: 65+43=108
Moving to Node #0,0
Current State: 95:[85, 34, 22], Operations: ['65-43=22']
Exploring Operation: 34-22=12, Resulting Numbers: [85, 12]
Generated Node #0,0,0: 95:[85, 12] Operation: 34-22=12
Exploring Operation: 85+34=119, Resulting Numbers: [22, 119]
Generated Node #0,0,1: 95:[22, 119] Operation: 85+34=119
Exploring Operation: 85+22=107, Resulting Numbers: [34, 107]
Generated Node #0,0,2: 95:[34, 107] Operation: 85+22=107
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[85, 12], Operations: ['65-43=22', '34-22=12']
Exploring Operation: 85-12=73, Resulting Numbers: [73]
73,95 unequal: No Solution
Exploring Operation: 85*12=1020, Resulting Numbers: [1020]
1020,95 unequal: No Solution
Exploring Operation: 85+12=97, Resulting Numbers: [97]
97,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[22, 119], Operations: ['65-43=22', '85+34=119']
Exploring Operation: 22+119=141, Resulting Numbers: [141]
141,95 unequal: No Solution
Exploring Operation: 119-22=97, Resulting Numbers: [97]
97,95 unequal: No Solution
Exploring Operation: 22*119=2618, Resulting Numbers: [2618]
2618,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[34, 107], Operations: ['65-43=22', '85+22=107']
Exploring Operation: 107-34=73, Resulting Numbers: [73]
73,95 unequal: No Solution
Exploring Operation: 34+107=141, Resulting Numbers: [141]
141,95 unequal: No Solution
Exploring Operation: 34*107=3638, Resulting Numbers: [3638]
3638,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 95:[85, 43, 99], Operations: ['65+34=99']
Exploring Operation: 99-85=14, Resulting Numbers: [43, 14]
Generated Node #0,1,0: 95:[43, 14] Operation: 99-85=14
Exploring Operation: 85-43=42, Resulting Numbers: [99, 42]
Generated Node #0,1,1: 95:[99, 42] Operation: 85-43=42
Exploring Operation: 85+43=128, Resulting Numbers: [99, 128]
Generated Node #0,1,2: 95:[99, 128] Operation: 85+43=128
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[99, 42], Operations: ['65+34=99', '85-43=42']
Exploring Operation: 99+42=141, Resulting Numbers: [141]
141,95 unequal: No Solution
Exploring Operation: 99-42=57, Resulting Numbers: [57]
57,95 unequal: No Solution
Exploring Operation: 99*42=4158, Resulting Numbers: [4158]
4158,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[43, 14], Operations: ['65+34=99', '99-85=14']
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,95 unequal: No Solution
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 43*14=602, Resulting Numbers: [602]
602,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 95:[99, 128], Operations: ['65+34=99', '85+43=128']
Exploring Operation: 99+128=227, Resulting Numbers: [227]
227,95 unequal: No Solution
Exploring Operation: 99*128=12672, Resulting Numbers: [12672]
12672,95 unequal: No Solution
Exploring Operation: 128-99=29, Resulting Numbers: [29]
29,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 95:[85, 34, 108], Operations: ['65+43=108']
Exploring Operation: 108-85=23, Resulting Numbers: [34, 23]
Generated Node #0,2,0: 95:[34, 23] Operation: 108-85=23
Exploring Operation: 108-34=74, Resulting Numbers: [85, 74]
Generated Node #0,2,1: 95:[85, 74] Operation: 108-34=74
Exploring Operation: 85+34=119, Resulting Numbers: [108, 119]
Generated Node #0,2,2: 95:[108, 119] Operation: 85+34=119
Moving to Node #0,2,0
Current State: 95:[34, 23], Operations: ['65+43=108', '108-85=23']
Exploring Operation: 34*23=782, Resulting Numbers: [782]
782,95 unequal: No Solution
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[85, 74], Operations: ['65+43=108', '108-34=74']
Exploring Operation: 85*74=6290, Resulting Numbers: [6290]
6290,95 unequal: No Solution
Exploring Operation: 85+74=159, Resulting Numbers: [159]
159,95 unequal: No Solution
Exploring Operation: 85-74=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[108, 119], Operations: ['65+43=108', '85+34=119']
Exploring Operation: 108*119=12852, Resulting Numbers: [12852]
12852,95 unequal: No Solution
Exploring Operation: 119-108=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 108+119=227, Resulting Numbers: [227]
227,95 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
95,
91,
40,
19
] | 25 |
[
"95-91=4",
"40-19=21",
"4+21=25"
] |
Current State: 25:[95, 91, 40, 19], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [40, 19, 4]
Generated Node #2: [40, 19, 4] from Operation: 95-91=4
Current State: 25:[40, 19, 4], Operations: ['95-91=4']
Exploring Operation: 40-19=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 40-19=21
Current State: 25:[4, 21], Operations: ['95-91=4', '40-19=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
Current State: 25:[95, 91, 40, 19], Operations: []
Exploring Operation: 91-40=51, Resulting Numbers: [95, 19, 51]
Generated Node #0,0: 25:[95, 19, 51] Operation: 91-40=51
Exploring Operation: 95/19=5, Resulting Numbers: [91, 40, 5]
Generated Node #0,1: 25:[91, 40, 5] Operation: 95/19=5
Exploring Operation: 95-91=4, Resulting Numbers: [40, 19, 4]
Generated Node #0,2: 25:[40, 19, 4] Operation: 95-91=4
Exploring Operation: 95-40=55, Resulting Numbers: [91, 19, 55]
Generated Node #0,3: 25:[91, 19, 55] Operation: 95-40=55
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[40, 19, 4], Operations: ['95-91=4']
Exploring Operation: 40-19=21, Resulting Numbers: [4, 21]
Generated Node #0,2,0: 25:[4, 21] Operation: 40-19=21
Exploring Operation: 40/4=10, Resulting Numbers: [19, 10]
Generated Node #0,2,1: 25:[19, 10] Operation: 40/4=10
Exploring Operation: 19+4=23, Resulting Numbers: [40, 23]
Generated Node #0,2,2: 25:[40, 23] Operation: 19+4=23
Exploring Operation: 40-4=36, Resulting Numbers: [19, 36]
Generated Node #0,2,3: 25:[19, 36] Operation: 40-4=36
Moving to Node #0,2,0
Current State: 25:[4, 21], Operations: ['95-91=4', '40-19=21']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,25 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[95, 91, 40, 19], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [40, 19, 4]
Generated Node #0,2: 25:[40, 19, 4] Operation: 95-91=4
Moving to Node #0,2
Current State: 25:[40, 19, 4], Operations: ['95-91=4']
Exploring Operation: 40-19=21, Resulting Numbers: [4, 21]
Generated Node #0,2,0: 25:[4, 21] Operation: 40-19=21
Moving to Node #0,2,0
Current State: 25:[4, 21], Operations: ['95-91=4', '40-19=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_4
|
sum_heuristic
|
[
67,
39,
80,
81
] | 29 |
[
"67-39=28",
"81-80=1",
"28+1=29"
] |
Current State: 29:[67, 39, 80, 81], Operations: []
Exploring Operation: 67-39=28, Resulting Numbers: [80, 81, 28]
Generated Node #2: [80, 81, 28] from Operation: 67-39=28
Current State: 29:[80, 81, 28], Operations: ['67-39=28']
Exploring Operation: 81-80=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 81-80=1
Current State: 29:[28, 1], Operations: ['67-39=28', '81-80=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
Current State: 29:[67, 39, 80, 81], Operations: []
Exploring Operation: 81-67=14, Resulting Numbers: [39, 80, 14]
Generated Node #0,0: 29:[39, 80, 14] Operation: 81-67=14
Moving to Node #0,0
Current State: 29:[39, 80, 14], Operations: ['81-67=14']
Exploring Operation: 80-39=41, Resulting Numbers: [14, 41]
Generated Node #0,0,0: 29:[14, 41] Operation: 80-39=41
Moving to Node #0,0,0
Current State: 29:[14, 41], Operations: ['81-67=14', '80-39=41']
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,29 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
96,
72,
50,
48
] | 25 |
[
"96-72=24",
"50*24=1200",
"1200/48=25"
] |
Current State: 25:[96, 72, 50, 48], Operations: []
Exploring Operation: 96-72=24, Resulting Numbers: [50, 48, 24]
Generated Node #2: [50, 48, 24] from Operation: 96-72=24
Current State: 25:[50, 48, 24], Operations: ['96-72=24']
Exploring Operation: 50*24=1200, Resulting Numbers: [48, 1200]
Generated Node #3: [48, 1200] from Operation: 50*24=1200
Current State: 25:[48, 1200], Operations: ['96-72=24', '50*24=1200']
Exploring Operation: 1200/48=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
Current State: 25:[96, 72, 50, 48], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [72, 50, 2]
Generated Node #0,0: 25:[72, 50, 2] Operation: 96/48=2
Exploring Operation: 96-72=24, Resulting Numbers: [50, 48, 24]
Generated Node #0,1: 25:[50, 48, 24] Operation: 96-72=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[50, 48, 24], Operations: ['96-72=24']
Exploring Operation: 50-48=2, Resulting Numbers: [24, 2]
Generated Node #0,1,0: 25:[24, 2] Operation: 50-48=2
Exploring Operation: 50-24=26, Resulting Numbers: [48, 26]
Generated Node #0,1,1: 25:[48, 26] Operation: 50-24=26
Moving to Node #0,1,0
Current State: 25:[24, 2], Operations: ['96-72=24', '50-48=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[48, 26], Operations: ['96-72=24', '50-24=26']
Exploring Operation: 48+26=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[72, 50, 2], Operations: ['96/48=2']
Exploring Operation: 72/2=36, Resulting Numbers: [50, 36]
Generated Node #0,0,0: 25:[50, 36] Operation: 72/2=36
Exploring Operation: 72-50=22, Resulting Numbers: [2, 22]
Generated Node #0,0,1: 25:[2, 22] Operation: 72-50=22
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 25:[2, 22], Operations: ['96/48=2', '72-50=22']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[50, 36], Operations: ['96/48=2', '72/2=36']
Exploring Operation: 50+36=86, Resulting Numbers: [86]
86,25 unequal: No Solution
Exploring Operation: 50-36=14, Resulting Numbers: [14]
14,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
80,
31,
18,
77
] | 79 |
[
"80-18=62",
"62/31=2",
"77+2=79"
] |
Current State: 79:[80, 31, 18, 77], Operations: []
Exploring Operation: 80-18=62, Resulting Numbers: [31, 77, 62]
Generated Node #2: [31, 77, 62] from Operation: 80-18=62
Current State: 79:[31, 77, 62], Operations: ['80-18=62']
Exploring Operation: 62/31=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 62/31=2
Current State: 79:[77, 2], Operations: ['80-18=62', '62/31=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
Current State: 79:[80, 31, 18, 77], Operations: []
Exploring Operation: 80-18=62, Resulting Numbers: [31, 77, 62]
Generated Node #0,0: 79:[31, 77, 62] Operation: 80-18=62
Exploring Operation: 18+77=95, Resulting Numbers: [80, 31, 95]
Generated Node #0,1: 79:[80, 31, 95] Operation: 18+77=95
Exploring Operation: 31-18=13, Resulting Numbers: [80, 77, 13]
Generated Node #0,2: 79:[80, 77, 13] Operation: 31-18=13
Exploring Operation: 31+18=49, Resulting Numbers: [80, 77, 49]
Generated Node #0,3: 79:[80, 77, 49] Operation: 31+18=49
Exploring Operation: 80+18=98, Resulting Numbers: [31, 77, 98]
Generated Node #0,4: 79:[31, 77, 98] Operation: 80+18=98
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[80, 77, 49], Operations: ['31+18=49']
Exploring Operation: 77+49=126, Resulting Numbers: [80, 126]
Generated Node #0,3,0: 79:[80, 126] Operation: 77+49=126
Exploring Operation: 80+49=129, Resulting Numbers: [77, 129]
Generated Node #0,3,1: 79:[77, 129] Operation: 80+49=129
Exploring Operation: 80-49=31, Resulting Numbers: [77, 31]
Generated Node #0,3,2: 79:[77, 31] Operation: 80-49=31
Exploring Operation: 77-49=28, Resulting Numbers: [80, 28]
Generated Node #0,3,3: 79:[80, 28] Operation: 77-49=28
Exploring Operation: 80-77=3, Resulting Numbers: [49, 3]
Generated Node #0,3,4: 79:[49, 3] Operation: 80-77=3
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 79:[80, 126], Operations: ['31+18=49', '77+49=126']
Exploring Operation: 80*126=10080, Resulting Numbers: [10080]
10080,79 unequal: No Solution
Exploring Operation: 80+126=206, Resulting Numbers: [206]
206,79 unequal: No Solution
Exploring Operation: 126-80=46, Resulting Numbers: [46]
46,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 79:[77, 31], Operations: ['31+18=49', '80-49=31']
Exploring Operation: 77*31=2387, Resulting Numbers: [2387]
2387,79 unequal: No Solution
Exploring Operation: 77+31=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 79:[77, 129], Operations: ['31+18=49', '80+49=129']
Exploring Operation: 77+129=206, Resulting Numbers: [206]
206,79 unequal: No Solution
Exploring Operation: 129-77=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 77*129=9933, Resulting Numbers: [9933]
9933,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 79:[80, 28], Operations: ['31+18=49', '77-49=28']
Exploring Operation: 80+28=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Exploring Operation: 80*28=2240, Resulting Numbers: [2240]
2240,79 unequal: No Solution
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 79:[49, 3], Operations: ['31+18=49', '80-77=3']
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 49*3=147, Resulting Numbers: [147]
147,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[80, 31, 95], Operations: ['18+77=95']
Exploring Operation: 95-80=15, Resulting Numbers: [31, 15]
Generated Node #0,1,0: 79:[31, 15] Operation: 95-80=15
Exploring Operation: 31+95=126, Resulting Numbers: [80, 126]
Generated Node #0,1,1: 79:[80, 126] Operation: 31+95=126
Exploring Operation: 80-31=49, Resulting Numbers: [95, 49]
Generated Node #0,1,2: 79:[95, 49] Operation: 80-31=49
Exploring Operation: 80+31=111, Resulting Numbers: [95, 111]
Generated Node #0,1,3: 79:[95, 111] Operation: 80+31=111
Exploring Operation: 95-31=64, Resulting Numbers: [80, 64]
Generated Node #0,1,4: 79:[80, 64] Operation: 95-31=64
Moving to Node #0,1,4
Current State: 79:[80, 64], Operations: ['18+77=95', '95-31=64']
Exploring Operation: 80+64=144, Resulting Numbers: [144]
144,79 unequal: No Solution
Exploring Operation: 80*64=5120, Resulting Numbers: [5120]
5120,79 unequal: No Solution
Exploring Operation: 80-64=16, Resulting Numbers: [16]
16,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[95, 49], Operations: ['18+77=95', '80-31=49']
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 95*49=4655, Resulting Numbers: [4655]
4655,79 unequal: No Solution
Exploring Operation: 95+49=144, Resulting Numbers: [144]
144,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[80, 126], Operations: ['18+77=95', '31+95=126']
Exploring Operation: 80*126=10080, Resulting Numbers: [10080]
10080,79 unequal: No Solution
Exploring Operation: 126-80=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 80+126=206, Resulting Numbers: [206]
206,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[95, 111], Operations: ['18+77=95', '80+31=111']
Exploring Operation: 95*111=10545, Resulting Numbers: [10545]
10545,79 unequal: No Solution
Exploring Operation: 95+111=206, Resulting Numbers: [206]
206,79 unequal: No Solution
Exploring Operation: 111-95=16, Resulting Numbers: [16]
16,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[31, 15], Operations: ['18+77=95', '95-80=15']
Exploring Operation: 31*15=465, Resulting Numbers: [465]
465,79 unequal: No Solution
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[31, 77, 62], Operations: ['80-18=62']
Exploring Operation: 62/31=2, Resulting Numbers: [77, 2]
Generated Node #0,0,0: 79:[77, 2] Operation: 62/31=2
Exploring Operation: 62-31=31, Resulting Numbers: [77, 31]
Generated Node #0,0,1: 79:[77, 31] Operation: 62-31=31
Exploring Operation: 77-31=46, Resulting Numbers: [62, 46]
Generated Node #0,0,2: 79:[62, 46] Operation: 77-31=46
Exploring Operation: 31+77=108, Resulting Numbers: [62, 108]
Generated Node #0,0,3: 79:[62, 108] Operation: 31+77=108
Exploring Operation: 31+62=93, Resulting Numbers: [77, 93]
Generated Node #0,0,4: 79:[77, 93] Operation: 31+62=93
Moving to Node #0,0,4
Current State: 79:[77, 93], Operations: ['80-18=62', '31+62=93']
Exploring Operation: 77*93=7161, Resulting Numbers: [7161]
7161,79 unequal: No Solution
Exploring Operation: 77+93=170, Resulting Numbers: [170]
170,79 unequal: No Solution
Exploring Operation: 93-77=16, Resulting Numbers: [16]
16,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[62, 108], Operations: ['80-18=62', '31+77=108']
Exploring Operation: 62*108=6696, Resulting Numbers: [6696]
6696,79 unequal: No Solution
Exploring Operation: 62+108=170, Resulting Numbers: [170]
170,79 unequal: No Solution
Exploring Operation: 108-62=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[77, 31], Operations: ['80-18=62', '62-31=31']
Exploring Operation: 77*31=2387, Resulting Numbers: [2387]
2387,79 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 77+31=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[62, 46], Operations: ['80-18=62', '77-31=46']
Exploring Operation: 62*46=2852, Resulting Numbers: [2852]
2852,79 unequal: No Solution
Exploring Operation: 62+46=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Exploring Operation: 62-46=16, Resulting Numbers: [16]
16,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[77, 2], Operations: ['80-18=62', '62/31=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,79 unequal: No Solution
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,79 unequal: No Solution
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[80, 31, 18, 77], Operations: []
Exploring Operation: 80-18=62, Resulting Numbers: [31, 77, 62]
Generated Node #0,0: 79:[31, 77, 62] Operation: 80-18=62
Moving to Node #0,0
Current State: 79:[31, 77, 62], Operations: ['80-18=62']
Exploring Operation: 62/31=2, Resulting Numbers: [77, 2]
Generated Node #0,0,0: 79:[77, 2] Operation: 62/31=2
Moving to Node #0,0,0
Current State: 79:[77, 2], Operations: ['80-18=62', '62/31=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.940104 |
hs_5
|
mult_heuristic
|
[
55,
62,
67,
28
] | 46 |
[
"62-55=7",
"67-28=39",
"7+39=46"
] |
Current State: 46:[55, 62, 67, 28], Operations: []
Exploring Operation: 62-55=7, Resulting Numbers: [67, 28, 7]
Generated Node #2: [67, 28, 7] from Operation: 62-55=7
Current State: 46:[67, 28, 7], Operations: ['62-55=7']
Exploring Operation: 67-28=39, Resulting Numbers: [7, 39]
Generated Node #3: [7, 39] from Operation: 67-28=39
Current State: 46:[7, 39], Operations: ['62-55=7', '67-28=39']
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[55, 62, 67, 28], Operations: []
Exploring Operation: 62-55=7, Resulting Numbers: [67, 28, 7]
Generated Node #0,0: 46:[67, 28, 7] Operation: 62-55=7
Exploring Operation: 67-28=39, Resulting Numbers: [55, 62, 39]
Generated Node #0,1: 46:[55, 62, 39] Operation: 67-28=39
Exploring Operation: 67-62=5, Resulting Numbers: [55, 28, 5]
Generated Node #0,2: 46:[55, 28, 5] Operation: 67-62=5
Exploring Operation: 67-55=12, Resulting Numbers: [62, 28, 12]
Generated Node #0,3: 46:[62, 28, 12] Operation: 67-55=12
Exploring Operation: 55-28=27, Resulting Numbers: [62, 67, 27]
Generated Node #0,4: 46:[62, 67, 27] Operation: 55-28=27
Moving to Node #0,2
Current State: 46:[55, 28, 5], Operations: ['67-62=5']
Exploring Operation: 55+5=60, Resulting Numbers: [28, 60]
Generated Node #0,2,0: 46:[28, 60] Operation: 55+5=60
Exploring Operation: 55-5=50, Resulting Numbers: [28, 50]
Generated Node #0,2,1: 46:[28, 50] Operation: 55-5=50
Exploring Operation: 28-5=23, Resulting Numbers: [55, 23]
Generated Node #0,2,2: 46:[55, 23] Operation: 28-5=23
Exploring Operation: 55-28=27, Resulting Numbers: [5, 27]
Generated Node #0,2,3: 46:[5, 27] Operation: 55-28=27
Exploring Operation: 55/5=11, Resulting Numbers: [28, 11]
Generated Node #0,2,4: 46:[28, 11] Operation: 55/5=11
Moving to Node #0,3
Current State: 46:[62, 28, 12], Operations: ['67-55=12']
Exploring Operation: 62-12=50, Resulting Numbers: [28, 50]
Generated Node #0,3,0: 46:[28, 50] Operation: 62-12=50
Exploring Operation: 28+12=40, Resulting Numbers: [62, 40]
Generated Node #0,3,1: 46:[62, 40] Operation: 28+12=40
Exploring Operation: 28-12=16, Resulting Numbers: [62, 16]
Generated Node #0,3,2: 46:[62, 16] Operation: 28-12=16
Exploring Operation: 62-28=34, Resulting Numbers: [12, 34]
Generated Node #0,3,3: 46:[12, 34] Operation: 62-28=34
Exploring Operation: 62+12=74, Resulting Numbers: [28, 74]
Generated Node #0,3,4: 46:[28, 74] Operation: 62+12=74
Moving to Node #0,0
Current State: 46:[67, 28, 7], Operations: ['62-55=7']
Exploring Operation: 67-28=39, Resulting Numbers: [7, 39]
Generated Node #0,0,0: 46:[7, 39] Operation: 67-28=39
Exploring Operation: 67-7=60, Resulting Numbers: [28, 60]
Generated Node #0,0,1: 46:[28, 60] Operation: 67-7=60
Exploring Operation: 28+7=35, Resulting Numbers: [67, 35]
Generated Node #0,0,2: 46:[67, 35] Operation: 28+7=35
Exploring Operation: 28/7=4, Resulting Numbers: [67, 4]
Generated Node #0,0,3: 46:[67, 4] Operation: 28/7=4
Exploring Operation: 28-7=21, Resulting Numbers: [67, 21]
Generated Node #0,0,4: 46:[67, 21] Operation: 28-7=21
Moving to Node #0,1
Current State: 46:[55, 62, 39], Operations: ['67-28=39']
Exploring Operation: 55+39=94, Resulting Numbers: [62, 94]
Generated Node #0,1,0: 46:[62, 94] Operation: 55+39=94
Exploring Operation: 62+39=101, Resulting Numbers: [55, 101]
Generated Node #0,1,1: 46:[55, 101] Operation: 62+39=101
Exploring Operation: 62-55=7, Resulting Numbers: [39, 7]
Generated Node #0,1,2: 46:[39, 7] Operation: 62-55=7
Exploring Operation: 55-39=16, Resulting Numbers: [62, 16]
Generated Node #0,1,3: 46:[62, 16] Operation: 55-39=16
Exploring Operation: 62-39=23, Resulting Numbers: [55, 23]
Generated Node #0,1,4: 46:[55, 23] Operation: 62-39=23
Moving to Node #0,4
Current State: 46:[62, 67, 27], Operations: ['55-28=27']
Exploring Operation: 67-27=40, Resulting Numbers: [62, 40]
Generated Node #0,4,0: 46:[62, 40] Operation: 67-27=40
Exploring Operation: 67-62=5, Resulting Numbers: [27, 5]
Generated Node #0,4,1: 46:[27, 5] Operation: 67-62=5
Exploring Operation: 67+27=94, Resulting Numbers: [62, 94]
Generated Node #0,4,2: 46:[62, 94] Operation: 67+27=94
Exploring Operation: 62-27=35, Resulting Numbers: [67, 35]
Generated Node #0,4,3: 46:[67, 35] Operation: 62-27=35
Exploring Operation: 62+27=89, Resulting Numbers: [67, 89]
Generated Node #0,4,4: 46:[67, 89] Operation: 62+27=89
Moving to Node #0,2,3
Current State: 46:[5, 27], Operations: ['67-62=5', '55-28=27']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,46 unequal: No Solution
Moving to Node #0,4,1
Current State: 46:[27, 5], Operations: ['55-28=27', '67-62=5']
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 27*5=135, Resulting Numbers: [135]
135,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[55, 23], Operations: ['67-62=5', '28-5=23']
Exploring Operation: 55*23=1265, Resulting Numbers: [1265]
1265,46 unequal: No Solution
Exploring Operation: 55+23=78, Resulting Numbers: [78]
78,46 unequal: No Solution
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Moving to Node #0,3,0
Current State: 46:[28, 50], Operations: ['67-55=12', '62-12=50']
Exploring Operation: 28+50=78, Resulting Numbers: [78]
78,46 unequal: No Solution
Exploring Operation: 28*50=1400, Resulting Numbers: [1400]
1400,46 unequal: No Solution
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[28, 50], Operations: ['67-62=5', '55-5=50']
Exploring Operation: 28*50=1400, Resulting Numbers: [1400]
1400,46 unequal: No Solution
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 28+50=78, Resulting Numbers: [78]
78,46 unequal: No Solution
Moving to Node #0,1,4
Current State: 46:[55, 23], Operations: ['67-28=39', '62-39=23']
Exploring Operation: 55*23=1265, Resulting Numbers: [1265]
1265,46 unequal: No Solution
Exploring Operation: 55+23=78, Resulting Numbers: [78]
78,46 unequal: No Solution
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[7, 39], Operations: ['62-55=7', '67-28=39']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[55, 62, 67, 28], Operations: []
Exploring Operation: 62-55=7, Resulting Numbers: [67, 28, 7]
Generated Node #0,0: 46:[67, 28, 7] Operation: 62-55=7
Moving to Node #0,0
Current State: 46:[67, 28, 7], Operations: ['62-55=7']
Exploring Operation: 67-28=39, Resulting Numbers: [7, 39]
Generated Node #0,0,0: 46:[7, 39] Operation: 67-28=39
Moving to Node #0,0,0
Current State: 46:[7, 39], Operations: ['62-55=7', '67-28=39']
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.953125 |
hs_5
|
sum_heuristic
|
[
17,
25,
3,
37
] | 23 |
[
"17+25=42",
"42/3=14",
"37-14=23"
] |
Current State: 23:[17, 25, 3, 37], Operations: []
Exploring Operation: 17+25=42, Resulting Numbers: [3, 37, 42]
Generated Node #2: [3, 37, 42] from Operation: 17+25=42
Current State: 23:[3, 37, 42], Operations: ['17+25=42']
Exploring Operation: 42/3=14, Resulting Numbers: [37, 14]
Generated Node #3: [37, 14] from Operation: 42/3=14
Current State: 23:[37, 14], Operations: ['17+25=42', '42/3=14']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
Current State: 23:[17, 25, 3, 37], Operations: []
Exploring Operation: 17+3=20, Resulting Numbers: [25, 37, 20]
Generated Node #0,0: 23:[25, 37, 20] Operation: 17+3=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[25, 37, 20], Operations: ['17+3=20']
Exploring Operation: 37-20=17, Resulting Numbers: [25, 17]
Generated Node #0,0,0: 23:[25, 17] Operation: 37-20=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 23:[25, 17], Operations: ['17+3=20', '37-20=17']
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
75,
28,
5,
58
] | 100 |
[
"75-28=47",
"58-5=53",
"47+53=100"
] |
Current State: 100:[75, 28, 5, 58], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [5, 58, 47]
Generated Node #2: [5, 58, 47] from Operation: 75-28=47
Current State: 100:[5, 58, 47], Operations: ['75-28=47']
Exploring Operation: 58-5=53, Resulting Numbers: [47, 53]
Generated Node #3: [47, 53] from Operation: 58-5=53
Current State: 100:[47, 53], Operations: ['75-28=47', '58-5=53']
Exploring Operation: 47+53=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
Current State: 100:[75, 28, 5, 58], Operations: []
Exploring Operation: 75-58=17, Resulting Numbers: [28, 5, 17]
Generated Node #0,0: 100:[28, 5, 17] Operation: 75-58=17
Exploring Operation: 75+28=103, Resulting Numbers: [5, 58, 103]
Generated Node #0,1: 100:[5, 58, 103] Operation: 75+28=103
Exploring Operation: 75/5=15, Resulting Numbers: [28, 58, 15]
Generated Node #0,2: 100:[28, 58, 15] Operation: 75/5=15
Exploring Operation: 75-28=47, Resulting Numbers: [5, 58, 47]
Generated Node #0,3: 100:[5, 58, 47] Operation: 75-28=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[28, 5, 17], Operations: ['75-58=17']
Exploring Operation: 28-17=11, Resulting Numbers: [5, 11]
Generated Node #0,0,0: 100:[5, 11] Operation: 28-17=11
Exploring Operation: 28+17=45, Resulting Numbers: [5, 45]
Generated Node #0,0,1: 100:[5, 45] Operation: 28+17=45
Exploring Operation: 5+17=22, Resulting Numbers: [28, 22]
Generated Node #0,0,2: 100:[28, 22] Operation: 5+17=22
Exploring Operation: 28-5=23, Resulting Numbers: [17, 23]
Generated Node #0,0,3: 100:[17, 23] Operation: 28-5=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[5, 11], Operations: ['75-58=17', '28-17=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[5, 45], Operations: ['75-58=17', '28+17=45']
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,100 unequal: No Solution
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 5*45=225, Resulting Numbers: [225]
225,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 100:[28, 22], Operations: ['75-58=17', '5+17=22']
Exploring Operation: 28*22=616, Resulting Numbers: [616]
616,100 unequal: No Solution
Exploring Operation: 28+22=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 100:[17, 23], Operations: ['75-58=17', '28-5=23']
Exploring Operation: 17+23=40, Resulting Numbers: [40]
40,100 unequal: No Solution
Exploring Operation: 17*23=391, Resulting Numbers: [391]
391,100 unequal: No Solution
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[5, 58, 103], Operations: ['75+28=103']
Exploring Operation: 103-5=98, Resulting Numbers: [58, 98]
Generated Node #0,1,0: 100:[58, 98] Operation: 103-5=98
Exploring Operation: 58-5=53, Resulting Numbers: [103, 53]
Generated Node #0,1,1: 100:[103, 53] Operation: 58-5=53
Exploring Operation: 5+58=63, Resulting Numbers: [103, 63]
Generated Node #0,1,2: 100:[103, 63] Operation: 5+58=63
Exploring Operation: 103-58=45, Resulting Numbers: [5, 45]
Generated Node #0,1,3: 100:[5, 45] Operation: 103-58=45
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 100:[5, 45], Operations: ['75+28=103', '103-58=45']
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,100 unequal: No Solution
Exploring Operation: 5*45=225, Resulting Numbers: [225]
225,100 unequal: No Solution
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[103, 53], Operations: ['75+28=103', '58-5=53']
Exploring Operation: 103-53=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 103*53=5459, Resulting Numbers: [5459]
5459,100 unequal: No Solution
Exploring Operation: 103+53=156, Resulting Numbers: [156]
156,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[58, 98], Operations: ['75+28=103', '103-5=98']
Exploring Operation: 58+98=156, Resulting Numbers: [156]
156,100 unequal: No Solution
Exploring Operation: 58*98=5684, Resulting Numbers: [5684]
5684,100 unequal: No Solution
Exploring Operation: 98-58=40, Resulting Numbers: [40]
40,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 100:[103, 63], Operations: ['75+28=103', '5+58=63']
Exploring Operation: 103-63=40, Resulting Numbers: [40]
40,100 unequal: No Solution
Exploring Operation: 103*63=6489, Resulting Numbers: [6489]
6489,100 unequal: No Solution
Exploring Operation: 103+63=166, Resulting Numbers: [166]
166,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[5, 58, 47], Operations: ['75-28=47']
Exploring Operation: 58-5=53, Resulting Numbers: [47, 53]
Generated Node #0,3,0: 100:[47, 53] Operation: 58-5=53
Exploring Operation: 58+47=105, Resulting Numbers: [5, 105]
Generated Node #0,3,1: 100:[5, 105] Operation: 58+47=105
Exploring Operation: 58-47=11, Resulting Numbers: [5, 11]
Generated Node #0,3,2: 100:[5, 11] Operation: 58-47=11
Exploring Operation: 5+47=52, Resulting Numbers: [58, 52]
Generated Node #0,3,3: 100:[58, 52] Operation: 5+47=52
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 100:[5, 11], Operations: ['75-28=47', '58-47=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 100:[5, 105], Operations: ['75-28=47', '58+47=105']
Exploring Operation: 5+105=110, Resulting Numbers: [110]
110,100 unequal: No Solution
Exploring Operation: 105/5=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 105-5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[75, 28, 5, 58], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [5, 58, 47]
Generated Node #0,3: 100:[5, 58, 47] Operation: 75-28=47
Moving to Node #0,3
Current State: 100:[5, 58, 47], Operations: ['75-28=47']
Exploring Operation: 58+47=105, Resulting Numbers: [5, 105]
Generated Node #0,3,1: 100:[5, 105] Operation: 58+47=105
Moving to Node #0,3,1
Current State: 100:[5, 105], Operations: ['75-28=47', '58+47=105']
Exploring Operation: 105-5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.954861 |
hs_4
|
mult_heuristic
|
[
68,
15,
46,
21
] | 28 |
[
"68-15=53",
"46-21=25",
"53-25=28"
] |
Current State: 28:[68, 15, 46, 21], Operations: []
Exploring Operation: 68-15=53, Resulting Numbers: [46, 21, 53]
Generated Node #2: [46, 21, 53] from Operation: 68-15=53
Current State: 28:[46, 21, 53], Operations: ['68-15=53']
Exploring Operation: 46-21=25, Resulting Numbers: [53, 25]
Generated Node #3: [53, 25] from Operation: 46-21=25
Current State: 28:[53, 25], Operations: ['68-15=53', '46-21=25']
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
Current State: 28:[68, 15, 46, 21], Operations: []
Exploring Operation: 68-21=47, Resulting Numbers: [15, 46, 47]
Generated Node #0,0: 28:[15, 46, 47] Operation: 68-21=47
Exploring Operation: 68-46=22, Resulting Numbers: [15, 21, 22]
Generated Node #0,1: 28:[15, 21, 22] Operation: 68-46=22
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[15, 21, 22], Operations: ['68-46=22']
Exploring Operation: 21-15=6, Resulting Numbers: [22, 6]
Generated Node #0,1,0: 28:[22, 6] Operation: 21-15=6
Exploring Operation: 22-21=1, Resulting Numbers: [15, 1]
Generated Node #0,1,1: 28:[15, 1] Operation: 22-21=1
Moving to Node #0,1,1
Current State: 28:[15, 1], Operations: ['68-46=22', '22-21=1']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[22, 6], Operations: ['68-46=22', '21-15=6']
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[68, 15, 46, 21], Operations: []
Exploring Operation: 68-46=22, Resulting Numbers: [15, 21, 22]
Generated Node #0,1: 28:[15, 21, 22] Operation: 68-46=22
Moving to Node #0,1
Current State: 28:[15, 21, 22], Operations: ['68-46=22']
Exploring Operation: 21-15=6, Resulting Numbers: [22, 6]
Generated Node #0,1,0: 28:[22, 6] Operation: 21-15=6
Moving to Node #0,1,0
Current State: 28:[22, 6], Operations: ['68-46=22', '21-15=6']
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_2
|
mult_heuristic
|
[
71,
68,
4,
39
] | 96 |
[
"71+68=139",
"4+39=43",
"139-43=96"
] |
Current State: 96:[71, 68, 4, 39], Operations: []
Exploring Operation: 71+68=139, Resulting Numbers: [4, 39, 139]
Generated Node #2: [4, 39, 139] from Operation: 71+68=139
Current State: 96:[4, 39, 139], Operations: ['71+68=139']
Exploring Operation: 4+39=43, Resulting Numbers: [139, 43]
Generated Node #3: [139, 43] from Operation: 4+39=43
Current State: 96:[139, 43], Operations: ['71+68=139', '4+39=43']
Exploring Operation: 139-43=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
Current State: 96:[71, 68, 4, 39], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [4, 39, 3]
Generated Node #0,0: 96:[4, 39, 3] Operation: 71-68=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[4, 39, 3], Operations: ['71-68=3']
Exploring Operation: 39/3=13, Resulting Numbers: [4, 13]
Generated Node #0,0,0: 96:[4, 13] Operation: 39/3=13
Moving to Node #0,0,0
Current State: 96:[4, 13], Operations: ['71-68=3', '39/3=13']
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
23,
2,
36,
84
] | 58 |
[
"36-23=13",
"2*13=26",
"84-26=58"
] |
Current State: 58:[23, 2, 36, 84], Operations: []
Exploring Operation: 36-23=13, Resulting Numbers: [2, 84, 13]
Generated Node #2: [2, 84, 13] from Operation: 36-23=13
Current State: 58:[2, 84, 13], Operations: ['36-23=13']
Exploring Operation: 2*13=26, Resulting Numbers: [84, 26]
Generated Node #3: [84, 26] from Operation: 2*13=26
Current State: 58:[84, 26], Operations: ['36-23=13', '2*13=26']
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
Current State: 58:[23, 2, 36, 84], Operations: []
Exploring Operation: 84-23=61, Resulting Numbers: [2, 36, 61]
Generated Node #0,0: 58:[2, 36, 61] Operation: 84-23=61
Exploring Operation: 84-36=48, Resulting Numbers: [23, 2, 48]
Generated Node #0,1: 58:[23, 2, 48] Operation: 84-36=48
Exploring Operation: 84/2=42, Resulting Numbers: [23, 36, 42]
Generated Node #0,2: 58:[23, 36, 42] Operation: 84/2=42
Moving to Node #0,0
Current State: 58:[2, 36, 61], Operations: ['84-23=61']
Exploring Operation: 36-2=34, Resulting Numbers: [61, 34]
Generated Node #0,0,0: 58:[61, 34] Operation: 36-2=34
Exploring Operation: 61-36=25, Resulting Numbers: [2, 25]
Generated Node #0,0,1: 58:[2, 25] Operation: 61-36=25
Exploring Operation: 61-2=59, Resulting Numbers: [36, 59]
Generated Node #0,0,2: 58:[36, 59] Operation: 61-2=59
Moving to Node #0,1
Current State: 58:[23, 2, 48], Operations: ['84-36=48']
Exploring Operation: 48-23=25, Resulting Numbers: [2, 25]
Generated Node #0,1,0: 58:[2, 25] Operation: 48-23=25
Exploring Operation: 48/2=24, Resulting Numbers: [23, 24]
Generated Node #0,1,1: 58:[23, 24] Operation: 48/2=24
Exploring Operation: 23+48=71, Resulting Numbers: [2, 71]
Generated Node #0,1,2: 58:[2, 71] Operation: 23+48=71
Moving to Node #0,2
Current State: 58:[23, 36, 42], Operations: ['84/2=42']
Exploring Operation: 23+42=65, Resulting Numbers: [36, 65]
Generated Node #0,2,0: 58:[36, 65] Operation: 23+42=65
Exploring Operation: 42-36=6, Resulting Numbers: [23, 6]
Generated Node #0,2,1: 58:[23, 6] Operation: 42-36=6
Exploring Operation: 23+36=59, Resulting Numbers: [42, 59]
Generated Node #0,2,2: 58:[42, 59] Operation: 23+36=59
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 58:[23, 6], Operations: ['84/2=42', '42-36=6']
Exploring Operation: 23*6=138, Resulting Numbers: [138]
138,58 unequal: No Solution
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,58 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 58:[36, 65], Operations: ['84/2=42', '23+42=65']
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,58 unequal: No Solution
Exploring Operation: 36*65=2340, Resulting Numbers: [2340]
2340,58 unequal: No Solution
Exploring Operation: 36+65=101, Resulting Numbers: [101]
101,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 58:[42, 59], Operations: ['84/2=42', '23+36=59']
Exploring Operation: 42+59=101, Resulting Numbers: [101]
101,58 unequal: No Solution
Exploring Operation: 59-42=17, Resulting Numbers: [17]
17,58 unequal: No Solution
Exploring Operation: 42*59=2478, Resulting Numbers: [2478]
2478,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 58:[2, 25], Operations: ['84-23=61', '61-36=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,58 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[2, 25], Operations: ['84-36=48', '48-23=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,58 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,58 unequal: No Solution
Moving to Node #0,0,2
Current State: 58:[36, 59], Operations: ['84-23=61', '61-2=59']
Exploring Operation: 36+59=95, Resulting Numbers: [95]
95,58 unequal: No Solution
Exploring Operation: 36*59=2124, Resulting Numbers: [2124]
2124,58 unequal: No Solution
Exploring Operation: 59-36=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Moving to Node #0,0,0
Current State: 58:[61, 34], Operations: ['84-23=61', '36-2=34']
Exploring Operation: 61*34=2074, Resulting Numbers: [2074]
2074,58 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,58 unequal: No Solution
Exploring Operation: 61+34=95, Resulting Numbers: [95]
95,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[23, 24], Operations: ['84-36=48', '48/2=24']
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,58 unequal: No Solution
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,58 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[2, 71], Operations: ['84-36=48', '23+48=71']
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,58 unequal: No Solution
Exploring Operation: 2*71=142, Resulting Numbers: [142]
142,58 unequal: No Solution
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,58 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
44,
48,
82,
6
] | 30 |
[
"82-44=38",
"48/6=8",
"38-8=30"
] |
Current State: 30:[44, 48, 82, 6], Operations: []
Exploring Operation: 82-44=38, Resulting Numbers: [48, 6, 38]
Generated Node #2: [48, 6, 38] from Operation: 82-44=38
Current State: 30:[48, 6, 38], Operations: ['82-44=38']
Exploring Operation: 48/6=8, Resulting Numbers: [38, 8]
Generated Node #3: [38, 8] from Operation: 48/6=8
Current State: 30:[38, 8], Operations: ['82-44=38', '48/6=8']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
Current State: 30:[44, 48, 82, 6], Operations: []
Exploring Operation: 44-6=38, Resulting Numbers: [48, 82, 38]
Generated Node #0,0: 30:[48, 82, 38] Operation: 44-6=38
Exploring Operation: 82-44=38, Resulting Numbers: [48, 6, 38]
Generated Node #0,1: 30:[48, 6, 38] Operation: 82-44=38
Exploring Operation: 48-44=4, Resulting Numbers: [82, 6, 4]
Generated Node #0,2: 30:[82, 6, 4] Operation: 48-44=4
Exploring Operation: 82-48=34, Resulting Numbers: [44, 6, 34]
Generated Node #0,3: 30:[44, 6, 34] Operation: 82-48=34
Exploring Operation: 48/6=8, Resulting Numbers: [44, 82, 8]
Generated Node #0,4: 30:[44, 82, 8] Operation: 48/6=8
Moving to Node #0,3
Current State: 30:[44, 6, 34], Operations: ['82-48=34']
Exploring Operation: 6+34=40, Resulting Numbers: [44, 40]
Generated Node #0,3,0: 30:[44, 40] Operation: 6+34=40
Exploring Operation: 34-6=28, Resulting Numbers: [44, 28]
Generated Node #0,3,1: 30:[44, 28] Operation: 34-6=28
Exploring Operation: 44-34=10, Resulting Numbers: [6, 10]
Generated Node #0,3,2: 30:[6, 10] Operation: 44-34=10
Exploring Operation: 44+6=50, Resulting Numbers: [34, 50]
Generated Node #0,3,3: 30:[34, 50] Operation: 44+6=50
Exploring Operation: 44-6=38, Resulting Numbers: [34, 38]
Generated Node #0,3,4: 30:[34, 38] Operation: 44-6=38
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 30:[6, 10], Operations: ['82-48=34', '44-34=10']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 30:[34, 38], Operations: ['82-48=34', '44-6=38']
Exploring Operation: 34*38=1292, Resulting Numbers: [1292]
1292,30 unequal: No Solution
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 34+38=72, Resulting Numbers: [72]
72,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 30:[44, 28], Operations: ['82-48=34', '34-6=28']
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,30 unequal: No Solution
Exploring Operation: 44*28=1232, Resulting Numbers: [1232]
1232,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 30:[44, 40], Operations: ['82-48=34', '6+34=40']
Exploring Operation: 44*40=1760, Resulting Numbers: [1760]
1760,30 unequal: No Solution
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,30 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 30:[34, 50], Operations: ['82-48=34', '44+6=50']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 34*50=1700, Resulting Numbers: [1700]
1700,30 unequal: No Solution
Exploring Operation: 34+50=84, Resulting Numbers: [84]
84,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 30:[48, 6, 38], Operations: ['82-44=38']
Exploring Operation: 48-38=10, Resulting Numbers: [6, 10]
Generated Node #0,1,0: 30:[6, 10] Operation: 48-38=10
Exploring Operation: 48+6=54, Resulting Numbers: [38, 54]
Generated Node #0,1,1: 30:[38, 54] Operation: 48+6=54
Exploring Operation: 48/6=8, Resulting Numbers: [38, 8]
Generated Node #0,1,2: 30:[38, 8] Operation: 48/6=8
Exploring Operation: 38-6=32, Resulting Numbers: [48, 32]
Generated Node #0,1,3: 30:[48, 32] Operation: 38-6=32
Exploring Operation: 48-6=42, Resulting Numbers: [38, 42]
Generated Node #0,1,4: 30:[38, 42] Operation: 48-6=42
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 30:[6, 10], Operations: ['82-44=38', '48-38=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 30:[38, 8], Operations: ['82-44=38', '48/6=8']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[44, 48, 82, 6], Operations: []
Exploring Operation: 82-44=38, Resulting Numbers: [48, 6, 38]
Generated Node #0,1: 30:[48, 6, 38] Operation: 82-44=38
Moving to Node #0,1
Current State: 30:[48, 6, 38], Operations: ['82-44=38']
Exploring Operation: 48/6=8, Resulting Numbers: [38, 8]
Generated Node #0,1,2: 30:[38, 8] Operation: 48/6=8
Moving to Node #0,1,2
Current State: 30:[38, 8], Operations: ['82-44=38', '48/6=8']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 |
hs_5
|
mult_heuristic
|
[
95,
38,
12,
19
] | 62 |
[
"95*12=1140",
"38+1140=1178",
"1178/19=62"
] |
Current State: 62:[95, 38, 12, 19], Operations: []
Exploring Operation: 95*12=1140, Resulting Numbers: [38, 19, 1140]
Generated Node #2: [38, 19, 1140] from Operation: 95*12=1140
Current State: 62:[38, 19, 1140], Operations: ['95*12=1140']
Exploring Operation: 38+1140=1178, Resulting Numbers: [19, 1178]
Generated Node #3: [19, 1178] from Operation: 38+1140=1178
Current State: 62:[19, 1178], Operations: ['95*12=1140', '38+1140=1178']
Exploring Operation: 1178/19=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
Current State: 62:[95, 38, 12, 19], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [38, 12, 5]
Generated Node #0,0: 62:[38, 12, 5] Operation: 95/19=5
Exploring Operation: 95-38=57, Resulting Numbers: [12, 19, 57]
Generated Node #0,1: 62:[12, 19, 57] Operation: 95-38=57
Moving to Node #0,0
Current State: 62:[38, 12, 5], Operations: ['95/19=5']
Exploring Operation: 38-12=26, Resulting Numbers: [5, 26]
Generated Node #0,0,0: 62:[5, 26] Operation: 38-12=26
Exploring Operation: 12*5=60, Resulting Numbers: [38, 60]
Generated Node #0,0,1: 62:[38, 60] Operation: 12*5=60
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[5, 26], Operations: ['95/19=5', '38-12=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[38, 60], Operations: ['95/19=5', '12*5=60']
Exploring Operation: 38+60=98, Resulting Numbers: [98]
98,62 unequal: No Solution
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 62:[12, 19, 57], Operations: ['95-38=57']
Exploring Operation: 19-12=7, Resulting Numbers: [57, 7]
Generated Node #0,1,0: 62:[57, 7] Operation: 19-12=7
Exploring Operation: 12+19=31, Resulting Numbers: [57, 31]
Generated Node #0,1,1: 62:[57, 31] Operation: 12+19=31
Moving to Node #0,1,1
Current State: 62:[57, 31], Operations: ['95-38=57', '12+19=31']
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 57+31=88, Resulting Numbers: [88]
88,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[57, 7], Operations: ['95-38=57', '19-12=7']
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,62 unequal: No Solution
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,62 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
54,
43,
50,
84
] | 37 |
[
"54+43=97",
"50+84=134",
"134-97=37"
] |
Current State: 37:[54, 43, 50, 84], Operations: []
Exploring Operation: 54+43=97, Resulting Numbers: [50, 84, 97]
Generated Node #2: [50, 84, 97] from Operation: 54+43=97
Current State: 37:[50, 84, 97], Operations: ['54+43=97']
Exploring Operation: 50+84=134, Resulting Numbers: [97, 134]
Generated Node #3: [97, 134] from Operation: 50+84=134
Current State: 37:[97, 134], Operations: ['54+43=97', '50+84=134']
Exploring Operation: 134-97=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
Current State: 37:[54, 43, 50, 84], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [54, 43, 34]
Generated Node #0,0: 37:[54, 43, 34] Operation: 84-50=34
Exploring Operation: 84-54=30, Resulting Numbers: [43, 50, 30]
Generated Node #0,1: 37:[43, 50, 30] Operation: 84-54=30
Exploring Operation: 84-43=41, Resulting Numbers: [54, 50, 41]
Generated Node #0,2: 37:[54, 50, 41] Operation: 84-43=41
Exploring Operation: 54-43=11, Resulting Numbers: [50, 84, 11]
Generated Node #0,3: 37:[50, 84, 11] Operation: 54-43=11
Moving to Node #0,0
Current State: 37:[54, 43, 34], Operations: ['84-50=34']
Exploring Operation: 43-34=9, Resulting Numbers: [54, 9]
Generated Node #0,0,0: 37:[54, 9] Operation: 43-34=9
Exploring Operation: 54-34=20, Resulting Numbers: [43, 20]
Generated Node #0,0,1: 37:[43, 20] Operation: 54-34=20
Exploring Operation: 54+34=88, Resulting Numbers: [43, 88]
Generated Node #0,0,2: 37:[43, 88] Operation: 54+34=88
Exploring Operation: 54-43=11, Resulting Numbers: [34, 11]
Generated Node #0,0,3: 37:[34, 11] Operation: 54-43=11
Moving to Node #0,1
Current State: 37:[43, 50, 30], Operations: ['84-54=30']
Exploring Operation: 50-30=20, Resulting Numbers: [43, 20]
Generated Node #0,1,0: 37:[43, 20] Operation: 50-30=20
Exploring Operation: 50-43=7, Resulting Numbers: [30, 7]
Generated Node #0,1,1: 37:[30, 7] Operation: 50-43=7
Exploring Operation: 43-30=13, Resulting Numbers: [50, 13]
Generated Node #0,1,2: 37:[50, 13] Operation: 43-30=13
Exploring Operation: 43+30=73, Resulting Numbers: [50, 73]
Generated Node #0,1,3: 37:[50, 73] Operation: 43+30=73
Moving to Node #0,2
Current State: 37:[54, 50, 41], Operations: ['84-43=41']
Exploring Operation: 54-50=4, Resulting Numbers: [41, 4]
Generated Node #0,2,0: 37:[41, 4] Operation: 54-50=4
Exploring Operation: 54+50=104, Resulting Numbers: [41, 104]
Generated Node #0,2,1: 37:[41, 104] Operation: 54+50=104
Exploring Operation: 50-41=9, Resulting Numbers: [54, 9]
Generated Node #0,2,2: 37:[54, 9] Operation: 50-41=9
Exploring Operation: 54-41=13, Resulting Numbers: [50, 13]
Generated Node #0,2,3: 37:[50, 13] Operation: 54-41=13
Moving to Node #0,3
Current State: 37:[50, 84, 11], Operations: ['54-43=11']
Exploring Operation: 84-50=34, Resulting Numbers: [11, 34]
Generated Node #0,3,0: 37:[11, 34] Operation: 84-50=34
Exploring Operation: 50-11=39, Resulting Numbers: [84, 39]
Generated Node #0,3,1: 37:[84, 39] Operation: 50-11=39
Exploring Operation: 50+11=61, Resulting Numbers: [84, 61]
Generated Node #0,3,2: 37:[84, 61] Operation: 50+11=61
Exploring Operation: 84-11=73, Resulting Numbers: [50, 73]
Generated Node #0,3,3: 37:[50, 73] Operation: 84-11=73
Moving to Node #0,0,1
Current State: 37:[43, 20], Operations: ['84-50=34', '54-34=20']
Exploring Operation: 43*20=860, Resulting Numbers: [860]
860,37 unequal: No Solution
Exploring Operation: 43+20=63, Resulting Numbers: [63]
63,37 unequal: No Solution
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[43, 20], Operations: ['84-54=30', '50-30=20']
Exploring Operation: 43+20=63, Resulting Numbers: [63]
63,37 unequal: No Solution
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 43*20=860, Resulting Numbers: [860]
860,37 unequal: No Solution
Moving to Node #0,3,0
Current State: 37:[11, 34], Operations: ['54-43=11', '84-50=34']
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,37 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[34, 11], Operations: ['84-50=34', '54-43=11']
Exploring Operation: 34*11=374, Resulting Numbers: [374]
374,37 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 34+11=45, Resulting Numbers: [45]
45,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[50, 13], Operations: ['84-54=30', '43-30=13']
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,37 unequal: No Solution
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[54, 43, 50, 84], Operations: []
Exploring Operation: 84-54=30, Resulting Numbers: [43, 50, 30]
Generated Node #0,1: 37:[43, 50, 30] Operation: 84-54=30
Moving to Node #0,1
Current State: 37:[43, 50, 30], Operations: ['84-54=30']
Exploring Operation: 43-30=13, Resulting Numbers: [50, 13]
Generated Node #0,1,2: 37:[50, 13] Operation: 43-30=13
Moving to Node #0,1,2
Current State: 37:[50, 13], Operations: ['84-54=30', '43-30=13']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 0.967014 |
hs_4
|
mult_heuristic
|
[
80,
48,
26,
96
] | 14 |
[
"80*48=3840",
"3840/96=40",
"40-26=14"
] |
Current State: 14:[80, 48, 26, 96], Operations: []
Exploring Operation: 80*48=3840, Resulting Numbers: [26, 96, 3840]
Generated Node #2: [26, 96, 3840] from Operation: 80*48=3840
Current State: 14:[26, 96, 3840], Operations: ['80*48=3840']
Exploring Operation: 3840/96=40, Resulting Numbers: [26, 40]
Generated Node #3: [26, 40] from Operation: 3840/96=40
Current State: 14:[26, 40], Operations: ['80*48=3840', '3840/96=40']
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
Current State: 14:[80, 48, 26, 96], Operations: []
Exploring Operation: 96-48=48, Resulting Numbers: [80, 26, 48]
Generated Node #0,0: 14:[80, 26, 48] Operation: 96-48=48
Exploring Operation: 80-48=32, Resulting Numbers: [26, 96, 32]
Generated Node #0,1: 14:[26, 96, 32] Operation: 80-48=32
Exploring Operation: 96-80=16, Resulting Numbers: [48, 26, 16]
Generated Node #0,2: 14:[48, 26, 16] Operation: 96-80=16
Exploring Operation: 96/48=2, Resulting Numbers: [80, 26, 2]
Generated Node #0,3: 14:[80, 26, 2] Operation: 96/48=2
Moving to Node #0,2
Current State: 14:[48, 26, 16], Operations: ['96-80=16']
Exploring Operation: 48-16=32, Resulting Numbers: [26, 32]
Generated Node #0,2,0: 14:[26, 32] Operation: 48-16=32
Exploring Operation: 48/16=3, Resulting Numbers: [26, 3]
Generated Node #0,2,1: 14:[26, 3] Operation: 48/16=3
Exploring Operation: 48-26=22, Resulting Numbers: [16, 22]
Generated Node #0,2,2: 14:[16, 22] Operation: 48-26=22
Exploring Operation: 26-16=10, Resulting Numbers: [48, 10]
Generated Node #0,2,3: 14:[48, 10] Operation: 26-16=10
Moving to Node #0,3
Current State: 14:[80, 26, 2], Operations: ['96/48=2']
Exploring Operation: 80/2=40, Resulting Numbers: [26, 40]
Generated Node #0,3,0: 14:[26, 40] Operation: 80/2=40
Exploring Operation: 26/2=13, Resulting Numbers: [80, 13]
Generated Node #0,3,1: 14:[80, 13] Operation: 26/2=13
Exploring Operation: 80-2=78, Resulting Numbers: [26, 78]
Generated Node #0,3,2: 14:[26, 78] Operation: 80-2=78
Exploring Operation: 80-26=54, Resulting Numbers: [2, 54]
Generated Node #0,3,3: 14:[2, 54] Operation: 80-26=54
Moving to Node #0,1
Current State: 14:[26, 96, 32], Operations: ['80-48=32']
Exploring Operation: 96-26=70, Resulting Numbers: [32, 70]
Generated Node #0,1,0: 14:[32, 70] Operation: 96-26=70
Exploring Operation: 32-26=6, Resulting Numbers: [96, 6]
Generated Node #0,1,1: 14:[96, 6] Operation: 32-26=6
Exploring Operation: 96-32=64, Resulting Numbers: [26, 64]
Generated Node #0,1,2: 14:[26, 64] Operation: 96-32=64
Exploring Operation: 96/32=3, Resulting Numbers: [26, 3]
Generated Node #0,1,3: 14:[26, 3] Operation: 96/32=3
Moving to Node #0,0
Current State: 14:[80, 26, 48], Operations: ['96-48=48']
Exploring Operation: 48-26=22, Resulting Numbers: [80, 22]
Generated Node #0,0,0: 14:[80, 22] Operation: 48-26=22
Exploring Operation: 80+26=106, Resulting Numbers: [48, 106]
Generated Node #0,0,1: 14:[48, 106] Operation: 80+26=106
Exploring Operation: 80-26=54, Resulting Numbers: [48, 54]
Generated Node #0,0,2: 14:[48, 54] Operation: 80-26=54
Exploring Operation: 80-48=32, Resulting Numbers: [26, 32]
Generated Node #0,0,3: 14:[26, 32] Operation: 80-48=32
Moving to Node #0,2,2
Current State: 14:[16, 22], Operations: ['96-80=16', '48-26=22']
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 16*22=352, Resulting Numbers: [352]
352,14 unequal: No Solution
Exploring Operation: 16+22=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Moving to Node #0,2,1
Current State: 14:[26, 3], Operations: ['96-80=16', '48/16=3']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,14 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,14 unequal: No Solution
Moving to Node #0,1,3
Current State: 14:[26, 3], Operations: ['80-48=32', '96/32=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,14 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[26, 32], Operations: ['96-80=16', '48-16=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,14 unequal: No Solution
Exploring Operation: 26*32=832, Resulting Numbers: [832]
832,14 unequal: No Solution
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Moving to Node #0,0,3
Current State: 14:[26, 32], Operations: ['96-48=48', '80-48=32']
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 26*32=832, Resulting Numbers: [832]
832,14 unequal: No Solution
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,14 unequal: No Solution
Moving to Node #0,2,3
Current State: 14:[48, 10], Operations: ['96-80=16', '26-16=10']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Exploring Operation: 48*10=480, Resulting Numbers: [480]
480,14 unequal: No Solution
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,14 unequal: No Solution
Moving to Node #0,3,0
Current State: 14:[26, 40], Operations: ['96/48=2', '80/2=40']
Exploring Operation: 26*40=1040, Resulting Numbers: [1040]
1040,14 unequal: No Solution
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[80, 48, 26, 96], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [80, 26, 2]
Generated Node #0,3: 14:[80, 26, 2] Operation: 96/48=2
Moving to Node #0,3
Current State: 14:[80, 26, 2], Operations: ['96/48=2']
Exploring Operation: 80/2=40, Resulting Numbers: [26, 40]
Generated Node #0,3,0: 14:[26, 40] Operation: 80/2=40
Moving to Node #0,3,0
Current State: 14:[26, 40], Operations: ['96/48=2', '80/2=40']
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.961806 |
hs_4
|
sum_heuristic
|
[
86,
10,
40,
28
] | 45 |
[
"86+40=126",
"10*126=1260",
"1260/28=45"
] |
Current State: 45:[86, 10, 40, 28], Operations: []
Exploring Operation: 86+40=126, Resulting Numbers: [10, 28, 126]
Generated Node #2: [10, 28, 126] from Operation: 86+40=126
Current State: 45:[10, 28, 126], Operations: ['86+40=126']
Exploring Operation: 10*126=1260, Resulting Numbers: [28, 1260]
Generated Node #3: [28, 1260] from Operation: 10*126=1260
Current State: 45:[28, 1260], Operations: ['86+40=126', '10*126=1260']
Exploring Operation: 1260/28=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
Current State: 45:[86, 10, 40, 28], Operations: []
Exploring Operation: 28-10=18, Resulting Numbers: [86, 40, 18]
Generated Node #0,0: 45:[86, 40, 18] Operation: 28-10=18
Exploring Operation: 40-28=12, Resulting Numbers: [86, 10, 12]
Generated Node #0,1: 45:[86, 10, 12] Operation: 40-28=12
Exploring Operation: 86-28=58, Resulting Numbers: [10, 40, 58]
Generated Node #0,2: 45:[10, 40, 58] Operation: 86-28=58
Exploring Operation: 86-40=46, Resulting Numbers: [10, 28, 46]
Generated Node #0,3: 45:[10, 28, 46] Operation: 86-40=46
Exploring Operation: 86-10=76, Resulting Numbers: [40, 28, 76]
Generated Node #0,4: 45:[40, 28, 76] Operation: 86-10=76
Start Sub Search at level 1: Moving to Node #0,3
Current State: 45:[10, 28, 46], Operations: ['86-40=46']
Exploring Operation: 28-10=18, Resulting Numbers: [46, 18]
Generated Node #0,3,0: 45:[46, 18] Operation: 28-10=18
Exploring Operation: 46-10=36, Resulting Numbers: [28, 36]
Generated Node #0,3,1: 45:[28, 36] Operation: 46-10=36
Exploring Operation: 10+46=56, Resulting Numbers: [28, 56]
Generated Node #0,3,2: 45:[28, 56] Operation: 10+46=56
Exploring Operation: 10+28=38, Resulting Numbers: [46, 38]
Generated Node #0,3,3: 45:[46, 38] Operation: 10+28=38
Exploring Operation: 46-28=18, Resulting Numbers: [10, 18]
Generated Node #0,3,4: 45:[10, 18] Operation: 46-28=18
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 45:[46, 18], Operations: ['86-40=46', '28-10=18']
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 46+18=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 46*18=828, Resulting Numbers: [828]
828,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 45:[10, 18], Operations: ['86-40=46', '46-28=18']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,45 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 45:[46, 38], Operations: ['86-40=46', '10+28=38']
Exploring Operation: 46*38=1748, Resulting Numbers: [1748]
1748,45 unequal: No Solution
Exploring Operation: 46+38=84, Resulting Numbers: [84]
84,45 unequal: No Solution
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 45:[28, 36], Operations: ['86-40=46', '46-10=36']
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,45 unequal: No Solution
Exploring Operation: 28*36=1008, Resulting Numbers: [1008]
1008,45 unequal: No Solution
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 45:[28, 56], Operations: ['86-40=46', '10+46=56']
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 28+56=84, Resulting Numbers: [84]
84,45 unequal: No Solution
Exploring Operation: 56/28=2, Resulting Numbers: [2]
2,45 unequal: No Solution
Exploring Operation: 28*56=1568, Resulting Numbers: [1568]
1568,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[10, 40, 58], Operations: ['86-28=58']
Exploring Operation: 10+40=50, Resulting Numbers: [58, 50]
Generated Node #0,2,0: 45:[58, 50] Operation: 10+40=50
Exploring Operation: 58-40=18, Resulting Numbers: [10, 18]
Generated Node #0,2,1: 45:[10, 18] Operation: 58-40=18
Exploring Operation: 40/10=4, Resulting Numbers: [58, 4]
Generated Node #0,2,2: 45:[58, 4] Operation: 40/10=4
Exploring Operation: 40-10=30, Resulting Numbers: [58, 30]
Generated Node #0,2,3: 45:[58, 30] Operation: 40-10=30
Exploring Operation: 58-10=48, Resulting Numbers: [40, 48]
Generated Node #0,2,4: 45:[40, 48] Operation: 58-10=48
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 45:[10, 18], Operations: ['86-28=58', '58-40=18']
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,45 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 45:[40, 48], Operations: ['86-28=58', '58-10=48']
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,45 unequal: No Solution
Exploring Operation: 40+48=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 40*48=1920, Resulting Numbers: [1920]
1920,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 45:[58, 4], Operations: ['86-28=58', '40/10=4']
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 58*4=232, Resulting Numbers: [232]
232,45 unequal: No Solution
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 45:[58, 50], Operations: ['86-28=58', '10+40=50']
Exploring Operation: 58+50=108, Resulting Numbers: [108]
108,45 unequal: No Solution
Exploring Operation: 58-50=8, Resulting Numbers: [8]
8,45 unequal: No Solution
Exploring Operation: 58*50=2900, Resulting Numbers: [2900]
2900,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 45:[58, 30], Operations: ['86-28=58', '40-10=30']
Exploring Operation: 58+30=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 58-30=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 58*30=1740, Resulting Numbers: [1740]
1740,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[86, 10, 12], Operations: ['40-28=12']
Exploring Operation: 86-12=74, Resulting Numbers: [10, 74]
Generated Node #0,1,0: 45:[10, 74] Operation: 86-12=74
Exploring Operation: 12-10=2, Resulting Numbers: [86, 2]
Generated Node #0,1,1: 45:[86, 2] Operation: 12-10=2
Exploring Operation: 10+12=22, Resulting Numbers: [86, 22]
Generated Node #0,1,2: 45:[86, 22] Operation: 10+12=22
Exploring Operation: 86-10=76, Resulting Numbers: [12, 76]
Generated Node #0,1,3: 45:[12, 76] Operation: 86-10=76
Exploring Operation: 86+10=96, Resulting Numbers: [12, 96]
Generated Node #0,1,4: 45:[12, 96] Operation: 86+10=96
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 45:[10, 74], Operations: ['40-28=12', '86-12=74']
Exploring Operation: 10*74=740, Resulting Numbers: [740]
740,45 unequal: No Solution
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 10+74=84, Resulting Numbers: [84]
84,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 45:[12, 76], Operations: ['40-28=12', '86-10=76']
Exploring Operation: 12+76=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 12*76=912, Resulting Numbers: [912]
912,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 45:[86, 2], Operations: ['40-28=12', '12-10=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,45 unequal: No Solution
Exploring Operation: 86*2=172, Resulting Numbers: [172]
172,45 unequal: No Solution
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 45:[86, 22], Operations: ['40-28=12', '10+12=22']
Exploring Operation: 86+22=108, Resulting Numbers: [108]
108,45 unequal: No Solution
Exploring Operation: 86*22=1892, Resulting Numbers: [1892]
1892,45 unequal: No Solution
Exploring Operation: 86-22=64, Resulting Numbers: [64]
64,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 45:[12, 96], Operations: ['40-28=12', '86+10=96']
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,45 unequal: No Solution
Exploring Operation: 12+96=108, Resulting Numbers: [108]
108,45 unequal: No Solution
Exploring Operation: 96/12=8, Resulting Numbers: [8]
8,45 unequal: No Solution
Exploring Operation: 12*96=1152, Resulting Numbers: [1152]
1152,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[86, 40, 18], Operations: ['28-10=18']
Exploring Operation: 40+18=58, Resulting Numbers: [86, 58]
Generated Node #0,0,0: 45:[86, 58] Operation: 40+18=58
Exploring Operation: 86+18=104, Resulting Numbers: [40, 104]
Generated Node #0,0,1: 45:[40, 104] Operation: 86+18=104
Exploring Operation: 40-18=22, Resulting Numbers: [86, 22]
Generated Node #0,0,2: 45:[86, 22] Operation: 40-18=22
Exploring Operation: 86-40=46, Resulting Numbers: [18, 46]
Generated Node #0,0,3: 45:[18, 46] Operation: 86-40=46
Exploring Operation: 86-18=68, Resulting Numbers: [40, 68]
Generated Node #0,0,4: 45:[40, 68] Operation: 86-18=68
Moving to Node #0,0,3
Current State: 45:[18, 46], Operations: ['28-10=18', '86-40=46']
Exploring Operation: 18+46=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 18*46=828, Resulting Numbers: [828]
828,45 unequal: No Solution
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Moving to Node #0,0,4
Current State: 45:[40, 68], Operations: ['28-10=18', '86-18=68']
Exploring Operation: 68-40=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 40*68=2720, Resulting Numbers: [2720]
2720,45 unequal: No Solution
Exploring Operation: 40+68=108, Resulting Numbers: [108]
108,45 unequal: No Solution
Moving to Node #0,0,2
Current State: 45:[86, 22], Operations: ['28-10=18', '40-18=22']
Exploring Operation: 86+22=108, Resulting Numbers: [108]
108,45 unequal: No Solution
Exploring Operation: 86*22=1892, Resulting Numbers: [1892]
1892,45 unequal: No Solution
Exploring Operation: 86-22=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[86, 58], Operations: ['28-10=18', '40+18=58']
Exploring Operation: 86+58=144, Resulting Numbers: [144]
144,45 unequal: No Solution
Exploring Operation: 86*58=4988, Resulting Numbers: [4988]
4988,45 unequal: No Solution
Exploring Operation: 86-58=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Moving to Node #0,0,1
Current State: 45:[40, 104], Operations: ['28-10=18', '86+18=104']
Exploring Operation: 40*104=4160, Resulting Numbers: [4160]
4160,45 unequal: No Solution
Exploring Operation: 104-40=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 40+104=144, Resulting Numbers: [144]
144,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 45:[40, 28, 76], Operations: ['86-10=76']
Exploring Operation: 76-28=48, Resulting Numbers: [40, 48]
Generated Node #0,4,0: 45:[40, 48] Operation: 76-28=48
Exploring Operation: 76-40=36, Resulting Numbers: [28, 36]
Generated Node #0,4,1: 45:[28, 36] Operation: 76-40=36
Exploring Operation: 40-28=12, Resulting Numbers: [76, 12]
Generated Node #0,4,2: 45:[76, 12] Operation: 40-28=12
Exploring Operation: 40+28=68, Resulting Numbers: [76, 68]
Generated Node #0,4,3: 45:[76, 68] Operation: 40+28=68
Exploring Operation: 28+76=104, Resulting Numbers: [40, 104]
Generated Node #0,4,4: 45:[40, 104] Operation: 28+76=104
Moving to Node #0,4,0
Current State: 45:[40, 48], Operations: ['86-10=76', '76-28=48']
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,45 unequal: No Solution
Exploring Operation: 40*48=1920, Resulting Numbers: [1920]
1920,45 unequal: No Solution
Exploring Operation: 40+48=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Moving to Node #0,4,1
Current State: 45:[28, 36], Operations: ['86-10=76', '76-40=36']
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,45 unequal: No Solution
Exploring Operation: 28*36=1008, Resulting Numbers: [1008]
1008,45 unequal: No Solution
Moving to Node #0,4,2
Current State: 45:[76, 12], Operations: ['86-10=76', '40-28=12']
Exploring Operation: 76+12=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 76*12=912, Resulting Numbers: [912]
912,45 unequal: No Solution
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Moving to Node #0,4,3
Current State: 45:[76, 68], Operations: ['86-10=76', '40+28=68']
Exploring Operation: 76*68=5168, Resulting Numbers: [5168]
5168,45 unequal: No Solution
Exploring Operation: 76-68=8, Resulting Numbers: [8]
8,45 unequal: No Solution
Exploring Operation: 76+68=144, Resulting Numbers: [144]
144,45 unequal: No Solution
Moving to Node #0,4,4
Current State: 45:[40, 104], Operations: ['86-10=76', '28+76=104']
Exploring Operation: 104-40=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 40*104=4160, Resulting Numbers: [4160]
4160,45 unequal: No Solution
Exploring Operation: 40+104=144, Resulting Numbers: [144]
144,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
81,
57,
54,
18
] | 46 |
[
"81+57=138",
"54/18=3",
"138/3=46"
] |
Current State: 46:[81, 57, 54, 18], Operations: []
Exploring Operation: 81+57=138, Resulting Numbers: [54, 18, 138]
Generated Node #2: [54, 18, 138] from Operation: 81+57=138
Current State: 46:[54, 18, 138], Operations: ['81+57=138']
Exploring Operation: 54/18=3, Resulting Numbers: [138, 3]
Generated Node #3: [138, 3] from Operation: 54/18=3
Current State: 46:[138, 3], Operations: ['81+57=138', '54/18=3']
Exploring Operation: 138/3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[81, 57, 54, 18], Operations: []
Exploring Operation: 81-57=24, Resulting Numbers: [54, 18, 24]
Generated Node #0,0: 46:[54, 18, 24] Operation: 81-57=24
Exploring Operation: 57-54=3, Resulting Numbers: [81, 18, 3]
Generated Node #0,1: 46:[81, 18, 3] Operation: 57-54=3
Exploring Operation: 81-18=63, Resulting Numbers: [57, 54, 63]
Generated Node #0,2: 46:[57, 54, 63] Operation: 81-18=63
Exploring Operation: 81-54=27, Resulting Numbers: [57, 18, 27]
Generated Node #0,3: 46:[57, 18, 27] Operation: 81-54=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[54, 18, 24], Operations: ['81-57=24']
Exploring Operation: 54-18=36, Resulting Numbers: [24, 36]
Generated Node #0,0,0: 46:[24, 36] Operation: 54-18=36
Exploring Operation: 54-24=30, Resulting Numbers: [18, 30]
Generated Node #0,0,1: 46:[18, 30] Operation: 54-24=30
Exploring Operation: 54/18=3, Resulting Numbers: [24, 3]
Generated Node #0,0,2: 46:[24, 3] Operation: 54/18=3
Exploring Operation: 18+24=42, Resulting Numbers: [54, 42]
Generated Node #0,0,3: 46:[54, 42] Operation: 18+24=42
Moving to Node #0,0,2
Current State: 46:[24, 3], Operations: ['81-57=24', '54/18=3']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,46 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[24, 36], Operations: ['81-57=24', '54-18=36']
Exploring Operation: 24+36=60, Resulting Numbers: [60]
60,46 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,46 unequal: No Solution
Exploring Operation: 24*36=864, Resulting Numbers: [864]
864,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[54, 42], Operations: ['81-57=24', '18+24=42']
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,46 unequal: No Solution
Exploring Operation: 54+42=96, Resulting Numbers: [96]
96,46 unequal: No Solution
Exploring Operation: 54*42=2268, Resulting Numbers: [2268]
2268,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[18, 30], Operations: ['81-57=24', '54-24=30']
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,46 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,46 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[57, 18, 27], Operations: ['81-54=27']
Exploring Operation: 57-27=30, Resulting Numbers: [18, 30]
Generated Node #0,3,0: 46:[18, 30] Operation: 57-27=30
Exploring Operation: 57-18=39, Resulting Numbers: [27, 39]
Generated Node #0,3,1: 46:[27, 39] Operation: 57-18=39
Exploring Operation: 18+27=45, Resulting Numbers: [57, 45]
Generated Node #0,3,2: 46:[57, 45] Operation: 18+27=45
Exploring Operation: 27-18=9, Resulting Numbers: [57, 9]
Generated Node #0,3,3: 46:[57, 9] Operation: 27-18=9
Moving to Node #0,3,1
Current State: 46:[27, 39], Operations: ['81-54=27', '57-18=39']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,46 unequal: No Solution
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,46 unequal: No Solution
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,46 unequal: No Solution
Moving to Node #0,3,2
Current State: 46:[57, 45], Operations: ['81-54=27', '18+27=45']
Exploring Operation: 57*45=2565, Resulting Numbers: [2565]
2565,46 unequal: No Solution
Exploring Operation: 57+45=102, Resulting Numbers: [102]
102,46 unequal: No Solution
Exploring Operation: 57-45=12, Resulting Numbers: [12]
12,46 unequal: No Solution
Moving to Node #0,3,0
Current State: 46:[18, 30], Operations: ['81-54=27', '57-27=30']
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,46 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,46 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,46 unequal: No Solution
Moving to Node #0,3,3
Current State: 46:[57, 9], Operations: ['81-54=27', '27-18=9']
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,46 unequal: No Solution
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,46 unequal: No Solution
Exploring Operation: 57*9=513, Resulting Numbers: [513]
513,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[57, 54, 63], Operations: ['81-18=63']
Exploring Operation: 63-57=6, Resulting Numbers: [54, 6]
Generated Node #0,2,0: 46:[54, 6] Operation: 63-57=6
Exploring Operation: 63-54=9, Resulting Numbers: [57, 9]
Generated Node #0,2,1: 46:[57, 9] Operation: 63-54=9
Exploring Operation: 57-54=3, Resulting Numbers: [63, 3]
Generated Node #0,2,2: 46:[63, 3] Operation: 57-54=3
Exploring Operation: 57+54=111, Resulting Numbers: [63, 111]
Generated Node #0,2,3: 46:[63, 111] Operation: 57+54=111
Moving to Node #0,2,0
Current State: 46:[54, 6], Operations: ['81-18=63', '63-57=6']
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,46 unequal: No Solution
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,46 unequal: No Solution
Exploring Operation: 54*6=324, Resulting Numbers: [324]
324,46 unequal: No Solution
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[63, 3], Operations: ['81-18=63', '57-54=3']
Exploring Operation: 63*3=189, Resulting Numbers: [189]
189,46 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,46 unequal: No Solution
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[57, 9], Operations: ['81-18=63', '63-54=9']
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,46 unequal: No Solution
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,46 unequal: No Solution
Exploring Operation: 57*9=513, Resulting Numbers: [513]
513,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[63, 111], Operations: ['81-18=63', '57+54=111']
Exploring Operation: 111-63=48, Resulting Numbers: [48]
48,46 unequal: No Solution
Exploring Operation: 63*111=6993, Resulting Numbers: [6993]
6993,46 unequal: No Solution
Exploring Operation: 63+111=174, Resulting Numbers: [174]
174,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[81, 18, 3], Operations: ['57-54=3']
Exploring Operation: 18+3=21, Resulting Numbers: [81, 21]
Generated Node #0,1,0: 46:[81, 21] Operation: 18+3=21
Exploring Operation: 81-18=63, Resulting Numbers: [3, 63]
Generated Node #0,1,1: 46:[3, 63] Operation: 81-18=63
Exploring Operation: 81/3=27, Resulting Numbers: [18, 27]
Generated Node #0,1,2: 46:[18, 27] Operation: 81/3=27
Exploring Operation: 81-3=78, Resulting Numbers: [18, 78]
Generated Node #0,1,3: 46:[18, 78] Operation: 81-3=78
Moving to Node #0,1,2
Current State: 46:[18, 27], Operations: ['57-54=3', '81/3=27']
Exploring Operation: 18*27=486, Resulting Numbers: [486]
486,46 unequal: No Solution
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 18+27=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[3, 63], Operations: ['57-54=3', '81-18=63']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,46 unequal: No Solution
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,46 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 3*63=189, Resulting Numbers: [189]
189,46 unequal: No Solution
Moving to Node #0,1,3
Current State: 46:[18, 78], Operations: ['57-54=3', '81-3=78']
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,46 unequal: No Solution
Exploring Operation: 18*78=1404, Resulting Numbers: [1404]
1404,46 unequal: No Solution
Exploring Operation: 18+78=96, Resulting Numbers: [96]
96,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[81, 21], Operations: ['57-54=3', '18+3=21']
Exploring Operation: 81*21=1701, Resulting Numbers: [1701]
1701,46 unequal: No Solution
Exploring Operation: 81+21=102, Resulting Numbers: [102]
102,46 unequal: No Solution
Exploring Operation: 81-21=60, Resulting Numbers: [60]
60,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
97,
72,
35,
43
] | 91 |
[
"97+72=169",
"35+43=78",
"169-78=91"
] |
Current State: 91:[97, 72, 35, 43], Operations: []
Exploring Operation: 97+72=169, Resulting Numbers: [35, 43, 169]
Generated Node #2: [35, 43, 169] from Operation: 97+72=169
Current State: 91:[35, 43, 169], Operations: ['97+72=169']
Exploring Operation: 35+43=78, Resulting Numbers: [169, 78]
Generated Node #3: [169, 78] from Operation: 35+43=78
Current State: 91:[169, 78], Operations: ['97+72=169', '35+43=78']
Exploring Operation: 169-78=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
Current State: 91:[97, 72, 35, 43], Operations: []
Exploring Operation: 43-35=8, Resulting Numbers: [97, 72, 8]
Generated Node #0,0: 91:[97, 72, 8] Operation: 43-35=8
Exploring Operation: 35+43=78, Resulting Numbers: [97, 72, 78]
Generated Node #0,1: 91:[97, 72, 78] Operation: 35+43=78
Exploring Operation: 72-43=29, Resulting Numbers: [97, 35, 29]
Generated Node #0,2: 91:[97, 35, 29] Operation: 72-43=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[97, 72, 8], Operations: ['43-35=8']
Exploring Operation: 72+8=80, Resulting Numbers: [97, 80]
Generated Node #0,0,0: 91:[97, 80] Operation: 72+8=80
Exploring Operation: 72/8=9, Resulting Numbers: [97, 9]
Generated Node #0,0,1: 91:[97, 9] Operation: 72/8=9
Exploring Operation: 97-72=25, Resulting Numbers: [8, 25]
Generated Node #0,0,2: 91:[8, 25] Operation: 97-72=25
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[97, 9], Operations: ['43-35=8', '72/8=9']
Exploring Operation: 97+9=106, Resulting Numbers: [106]
106,91 unequal: No Solution
Exploring Operation: 97-9=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 97*9=873, Resulting Numbers: [873]
873,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 91:[8, 25], Operations: ['43-35=8', '97-72=25']
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,91 unequal: No Solution
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,91 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[97, 80], Operations: ['43-35=8', '72+8=80']
Exploring Operation: 97+80=177, Resulting Numbers: [177]
177,91 unequal: No Solution
Exploring Operation: 97*80=7760, Resulting Numbers: [7760]
7760,91 unequal: No Solution
Exploring Operation: 97-80=17, Resulting Numbers: [17]
17,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[97, 72, 78], Operations: ['35+43=78']
Exploring Operation: 78-72=6, Resulting Numbers: [97, 6]
Generated Node #0,1,0: 91:[97, 6] Operation: 78-72=6
Exploring Operation: 97-78=19, Resulting Numbers: [72, 19]
Generated Node #0,1,1: 91:[72, 19] Operation: 97-78=19
Exploring Operation: 97-72=25, Resulting Numbers: [78, 25]
Generated Node #0,1,2: 91:[78, 25] Operation: 97-72=25
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 91:[97, 6], Operations: ['35+43=78', '78-72=6']
Exploring Operation: 97*6=582, Resulting Numbers: [582]
582,91 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[97, 72, 35, 43], Operations: []
Exploring Operation: 35+43=78, Resulting Numbers: [97, 72, 78]
Generated Node #0,1: 91:[97, 72, 78] Operation: 35+43=78
Moving to Node #0,1
Current State: 91:[97, 72, 78], Operations: ['35+43=78']
Exploring Operation: 78-72=6, Resulting Numbers: [97, 6]
Generated Node #0,1,0: 91:[97, 6] Operation: 78-72=6
Moving to Node #0,1,0
Current State: 91:[97, 6], Operations: ['35+43=78', '78-72=6']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167 |
hs_3
|
mult_heuristic
|
[
14,
41,
33,
67
] | 98 |
[
"41+33=74",
"74-67=7",
"14*7=98"
] |
Current State: 98:[14, 41, 33, 67], Operations: []
Exploring Operation: 41+33=74, Resulting Numbers: [14, 67, 74]
Generated Node #2: [14, 67, 74] from Operation: 41+33=74
Current State: 98:[14, 67, 74], Operations: ['41+33=74']
Exploring Operation: 74-67=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 74-67=7
Current State: 98:[14, 7], Operations: ['41+33=74', '74-67=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
Current State: 98:[14, 41, 33, 67], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [14, 67, 8]
Generated Node #0,0: 98:[14, 67, 8] Operation: 41-33=8
Exploring Operation: 67-33=34, Resulting Numbers: [14, 41, 34]
Generated Node #0,1: 98:[14, 41, 34] Operation: 67-33=34
Exploring Operation: 33+67=100, Resulting Numbers: [14, 41, 100]
Generated Node #0,2: 98:[14, 41, 100] Operation: 33+67=100
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[14, 41, 100], Operations: ['33+67=100']
Exploring Operation: 14+41=55, Resulting Numbers: [100, 55]
Generated Node #0,2,0: 98:[100, 55] Operation: 14+41=55
Exploring Operation: 41-14=27, Resulting Numbers: [100, 27]
Generated Node #0,2,1: 98:[100, 27] Operation: 41-14=27
Exploring Operation: 100-41=59, Resulting Numbers: [14, 59]
Generated Node #0,2,2: 98:[14, 59] Operation: 100-41=59
Moving to Node #0,2,0
Current State: 98:[100, 55], Operations: ['33+67=100', '14+41=55']
Exploring Operation: 100-55=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Exploring Operation: 100+55=155, Resulting Numbers: [155]
155,98 unequal: No Solution
Exploring Operation: 100*55=5500, Resulting Numbers: [5500]
5500,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[14, 59], Operations: ['33+67=100', '100-41=59']
Exploring Operation: 14+59=73, Resulting Numbers: [73]
73,98 unequal: No Solution
Exploring Operation: 14*59=826, Resulting Numbers: [826]
826,98 unequal: No Solution
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[100, 27], Operations: ['33+67=100', '41-14=27']
Exploring Operation: 100-27=73, Resulting Numbers: [73]
73,98 unequal: No Solution
Exploring Operation: 100*27=2700, Resulting Numbers: [2700]
2700,98 unequal: No Solution
Exploring Operation: 100+27=127, Resulting Numbers: [127]
127,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[14, 67, 8], Operations: ['41-33=8']
Exploring Operation: 67-8=59, Resulting Numbers: [14, 59]
Generated Node #0,0,0: 98:[14, 59] Operation: 67-8=59
Exploring Operation: 14+67=81, Resulting Numbers: [8, 81]
Generated Node #0,0,1: 98:[8, 81] Operation: 14+67=81
Exploring Operation: 67-14=53, Resulting Numbers: [8, 53]
Generated Node #0,0,2: 98:[8, 53] Operation: 67-14=53
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 98:[8, 53], Operations: ['41-33=8', '67-14=53']
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[14, 59], Operations: ['41-33=8', '67-8=59']
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Exploring Operation: 14*59=826, Resulting Numbers: [826]
826,98 unequal: No Solution
Exploring Operation: 14+59=73, Resulting Numbers: [73]
73,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[8, 81], Operations: ['41-33=8', '14+67=81']
Exploring Operation: 8+81=89, Resulting Numbers: [89]
89,98 unequal: No Solution
Exploring Operation: 8*81=648, Resulting Numbers: [648]
648,98 unequal: No Solution
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[14, 41, 34], Operations: ['67-33=34']
Exploring Operation: 41-34=7, Resulting Numbers: [14, 7]
Generated Node #0,1,0: 98:[14, 7] Operation: 41-34=7
Exploring Operation: 34-14=20, Resulting Numbers: [41, 20]
Generated Node #0,1,1: 98:[41, 20] Operation: 34-14=20
Exploring Operation: 14+34=48, Resulting Numbers: [41, 48]
Generated Node #0,1,2: 98:[41, 48] Operation: 14+34=48
Moving to Node #0,1,0
Current State: 98:[14, 7], Operations: ['67-33=34', '41-34=7']
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[14, 41, 33, 67], Operations: []
Exploring Operation: 67-33=34, Resulting Numbers: [14, 41, 34]
Generated Node #0,1: 98:[14, 41, 34] Operation: 67-33=34
Moving to Node #0,1
Current State: 98:[14, 41, 34], Operations: ['67-33=34']
Exploring Operation: 41-34=7, Resulting Numbers: [14, 7]
Generated Node #0,1,0: 98:[14, 7] Operation: 41-34=7
Moving to Node #0,1,0
Current State: 98:[14, 7], Operations: ['67-33=34', '41-34=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 |
hs_3
|
sum_heuristic
|
[
38,
73,
93,
21
] | 39 |
[
"38+73=111",
"93-21=72",
"111-72=39"
] |
Current State: 39:[38, 73, 93, 21], Operations: []
Exploring Operation: 38+73=111, Resulting Numbers: [93, 21, 111]
Generated Node #2: [93, 21, 111] from Operation: 38+73=111
Current State: 39:[93, 21, 111], Operations: ['38+73=111']
Exploring Operation: 93-21=72, Resulting Numbers: [111, 72]
Generated Node #3: [111, 72] from Operation: 93-21=72
Current State: 39:[111, 72], Operations: ['38+73=111', '93-21=72']
Exploring Operation: 111-72=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[38, 73, 93, 21], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [38, 21, 20]
Generated Node #0,0: 39:[38, 21, 20] Operation: 93-73=20
Exploring Operation: 93-38=55, Resulting Numbers: [73, 21, 55]
Generated Node #0,1: 39:[73, 21, 55] Operation: 93-38=55
Exploring Operation: 73-38=35, Resulting Numbers: [93, 21, 35]
Generated Node #0,2: 39:[93, 21, 35] Operation: 73-38=35
Exploring Operation: 73-21=52, Resulting Numbers: [38, 93, 52]
Generated Node #0,3: 39:[38, 93, 52] Operation: 73-21=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[38, 21, 20], Operations: ['93-73=20']
Exploring Operation: 21-20=1, Resulting Numbers: [38, 1]
Generated Node #0,0,0: 39:[38, 1] Operation: 21-20=1
Exploring Operation: 38-21=17, Resulting Numbers: [20, 17]
Generated Node #0,0,1: 39:[20, 17] Operation: 38-21=17
Exploring Operation: 21+20=41, Resulting Numbers: [38, 41]
Generated Node #0,0,2: 39:[38, 41] Operation: 21+20=41
Exploring Operation: 38-20=18, Resulting Numbers: [21, 18]
Generated Node #0,0,3: 39:[21, 18] Operation: 38-20=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[38, 1], Operations: ['93-73=20', '21-20=1']
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,39 unequal: No Solution
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[38, 73, 93, 21], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [38, 21, 20]
Generated Node #0,0: 39:[38, 21, 20] Operation: 93-73=20
Moving to Node #0,0
Current State: 39:[38, 21, 20], Operations: ['93-73=20']
Exploring Operation: 21-20=1, Resulting Numbers: [38, 1]
Generated Node #0,0,0: 39:[38, 1] Operation: 21-20=1
Moving to Node #0,0,0
Current State: 39:[38, 1], Operations: ['93-73=20', '21-20=1']
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 |
hs_4
|
sum_heuristic
|
[
64,
45,
34,
66
] | 22 |
[
"66-64=2",
"45-34=11",
"2*11=22"
] |
Current State: 22:[64, 45, 34, 66], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [45, 34, 2]
Generated Node #2: [45, 34, 2] from Operation: 66-64=2
Current State: 22:[45, 34, 2], Operations: ['66-64=2']
Exploring Operation: 45-34=11, Resulting Numbers: [2, 11]
Generated Node #3: [2, 11] from Operation: 45-34=11
Current State: 22:[2, 11], Operations: ['66-64=2', '45-34=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[64, 45, 34, 66], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [45, 34, 2]
Generated Node #0,0: 22:[45, 34, 2] Operation: 66-64=2
Exploring Operation: 66-45=21, Resulting Numbers: [64, 34, 21]
Generated Node #0,1: 22:[64, 34, 21] Operation: 66-45=21
Moving to Node #0,0
Current State: 22:[45, 34, 2], Operations: ['66-64=2']
Exploring Operation: 45-34=11, Resulting Numbers: [2, 11]
Generated Node #0,0,0: 22:[2, 11] Operation: 45-34=11
Exploring Operation: 34/2=17, Resulting Numbers: [45, 17]
Generated Node #0,0,1: 22:[45, 17] Operation: 34/2=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[2, 11], Operations: ['66-64=2', '45-34=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[64, 45, 34, 66], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [45, 34, 2]
Generated Node #0,0: 22:[45, 34, 2] Operation: 66-64=2
Moving to Node #0,0
Current State: 22:[45, 34, 2], Operations: ['66-64=2']
Exploring Operation: 45-34=11, Resulting Numbers: [2, 11]
Generated Node #0,0,0: 22:[2, 11] Operation: 45-34=11
Moving to Node #0,0,0
Current State: 22:[2, 11], Operations: ['66-64=2', '45-34=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
mult_heuristic
|
[
86,
10,
37,
41
] | 100 |
[
"86+10=96",
"41-37=4",
"96+4=100"
] |
Current State: 100:[86, 10, 37, 41], Operations: []
Exploring Operation: 86+10=96, Resulting Numbers: [37, 41, 96]
Generated Node #2: [37, 41, 96] from Operation: 86+10=96
Current State: 100:[37, 41, 96], Operations: ['86+10=96']
Exploring Operation: 41-37=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 41-37=4
Current State: 100:[96, 4], Operations: ['86+10=96', '41-37=4']
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
Current State: 100:[86, 10, 37, 41], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [10, 37, 45]
Generated Node #0,0: 100:[10, 37, 45] Operation: 86-41=45
Exploring Operation: 86-37=49, Resulting Numbers: [10, 41, 49]
Generated Node #0,1: 100:[10, 41, 49] Operation: 86-37=49
Exploring Operation: 41-37=4, Resulting Numbers: [86, 10, 4]
Generated Node #0,2: 100:[86, 10, 4] Operation: 41-37=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[10, 41, 49], Operations: ['86-37=49']
Exploring Operation: 10+41=51, Resulting Numbers: [49, 51]
Generated Node #0,1,0: 100:[49, 51] Operation: 10+41=51
Exploring Operation: 49-41=8, Resulting Numbers: [10, 8]
Generated Node #0,1,1: 100:[10, 8] Operation: 49-41=8
Exploring Operation: 41-10=31, Resulting Numbers: [49, 31]
Generated Node #0,1,2: 100:[49, 31] Operation: 41-10=31
Moving to Node #0,1,0
Current State: 100:[49, 51], Operations: ['86-37=49', '10+41=51']
Exploring Operation: 49+51=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[86, 10, 37, 41], Operations: []
Exploring Operation: 86-37=49, Resulting Numbers: [10, 41, 49]
Generated Node #0,1: 100:[10, 41, 49] Operation: 86-37=49
Moving to Node #0,1
Current State: 100:[10, 41, 49], Operations: ['86-37=49']
Exploring Operation: 10+41=51, Resulting Numbers: [49, 51]
Generated Node #0,1,0: 100:[49, 51] Operation: 10+41=51
Moving to Node #0,1,0
Current State: 100:[49, 51], Operations: ['86-37=49', '10+41=51']
Exploring Operation: 49+51=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_3
|
mult_heuristic
|
[
35,
24,
28,
24
] | 41 |
[
"35-24=11",
"28+24=52",
"52-11=41"
] |
Current State: 41:[35, 24, 28, 24], Operations: []
Exploring Operation: 35-24=11, Resulting Numbers: [28, 11]
Generated Node #2: [28, 11] from Operation: 35-24=11
Current State: 41:[28, 11], Operations: ['35-24=11']
Exploring Operation: 28+24=52, Resulting Numbers: [11, 52]
Generated Node #3: [11, 52] from Operation: 28+24=52
Current State: 41:[11, 52], Operations: ['35-24=11', '28+24=52']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[35, 24, 28, 24], Operations: []
Exploring Operation: 24+24=48, Resulting Numbers: [35, 28, 48]
Generated Node #0,0: 41:[35, 28, 48] Operation: 24+24=48
Moving to Node #0,0
Current State: 41:[35, 28, 48], Operations: ['24+24=48']
Exploring Operation: 48-28=20, Resulting Numbers: [35, 20]
Generated Node #0,0,0: 41:[35, 20] Operation: 48-28=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[35, 20], Operations: ['24+24=48', '48-28=20']
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
57,
5,
70,
19
] | 90 |
[
"57+19=76",
"70/5=14",
"76+14=90"
] |
Current State: 90:[57, 5, 70, 19], Operations: []
Exploring Operation: 57+19=76, Resulting Numbers: [5, 70, 76]
Generated Node #2: [5, 70, 76] from Operation: 57+19=76
Current State: 90:[5, 70, 76], Operations: ['57+19=76']
Exploring Operation: 70/5=14, Resulting Numbers: [76, 14]
Generated Node #3: [76, 14] from Operation: 70/5=14
Current State: 90:[76, 14], Operations: ['57+19=76', '70/5=14']
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[57, 5, 70, 19], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [5, 19, 13]
Generated Node #0,0: 90:[5, 19, 13] Operation: 70-57=13
Exploring Operation: 70+19=89, Resulting Numbers: [57, 5, 89]
Generated Node #0,1: 90:[57, 5, 89] Operation: 70+19=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[5, 19, 13], Operations: ['70-57=13']
Exploring Operation: 5+13=18, Resulting Numbers: [19, 18]
Generated Node #0,0,0: 90:[19, 18] Operation: 5+13=18
Exploring Operation: 19-13=6, Resulting Numbers: [5, 6]
Generated Node #0,0,1: 90:[5, 6] Operation: 19-13=6
Moving to Node #0,0,1
Current State: 90:[5, 6], Operations: ['70-57=13', '19-13=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[19, 18], Operations: ['70-57=13', '5+13=18']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[57, 5, 89], Operations: ['70+19=89']
Exploring Operation: 89-57=32, Resulting Numbers: [5, 32]
Generated Node #0,1,0: 90:[5, 32] Operation: 89-57=32
Exploring Operation: 57-5=52, Resulting Numbers: [89, 52]
Generated Node #0,1,1: 90:[89, 52] Operation: 57-5=52
Moving to Node #0,1,0
Current State: 90:[5, 32], Operations: ['70+19=89', '89-57=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,90 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[89, 52], Operations: ['70+19=89', '57-5=52']
Exploring Operation: 89+52=141, Resulting Numbers: [141]
141,90 unequal: No Solution
Exploring Operation: 89-52=37, Resulting Numbers: [37]
37,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
73,
37,
21,
6
] | 23 |
[
"37-21=16",
"6*16=96",
"96-73=23"
] |
Current State: 23:[73, 37, 21, 6], Operations: []
Exploring Operation: 37-21=16, Resulting Numbers: [73, 6, 16]
Generated Node #2: [73, 6, 16] from Operation: 37-21=16
Current State: 23:[73, 6, 16], Operations: ['37-21=16']
Exploring Operation: 6*16=96, Resulting Numbers: [73, 96]
Generated Node #3: [73, 96] from Operation: 6*16=96
Current State: 23:[73, 96], Operations: ['37-21=16', '6*16=96']
Exploring Operation: 96-73=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
Current State: 23:[73, 37, 21, 6], Operations: []
Exploring Operation: 73-6=67, Resulting Numbers: [37, 21, 67]
Generated Node #0,0: 23:[37, 21, 67] Operation: 73-6=67
Exploring Operation: 37-6=31, Resulting Numbers: [73, 21, 31]
Generated Node #0,1: 23:[73, 21, 31] Operation: 37-6=31
Exploring Operation: 73-21=52, Resulting Numbers: [37, 6, 52]
Generated Node #0,2: 23:[37, 6, 52] Operation: 73-21=52
Exploring Operation: 73-37=36, Resulting Numbers: [21, 6, 36]
Generated Node #0,3: 23:[21, 6, 36] Operation: 73-37=36
Exploring Operation: 21+6=27, Resulting Numbers: [73, 37, 27]
Generated Node #0,4: 23:[73, 37, 27] Operation: 21+6=27
Moving to Node #0,3
Current State: 23:[21, 6, 36], Operations: ['73-37=36']
Exploring Operation: 36-6=30, Resulting Numbers: [21, 30]
Generated Node #0,3,0: 23:[21, 30] Operation: 36-6=30
Exploring Operation: 21+6=27, Resulting Numbers: [36, 27]
Generated Node #0,3,1: 23:[36, 27] Operation: 21+6=27
Exploring Operation: 21-6=15, Resulting Numbers: [36, 15]
Generated Node #0,3,2: 23:[36, 15] Operation: 21-6=15
Exploring Operation: 36/6=6, Resulting Numbers: [21, 6]
Generated Node #0,3,3: 23:[21, 6] Operation: 36/6=6
Exploring Operation: 6+36=42, Resulting Numbers: [21, 42]
Generated Node #0,3,4: 23:[21, 42] Operation: 6+36=42
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 23:[21, 30], Operations: ['73-37=36', '36-6=30']
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,23 unequal: No Solution
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 23:[36, 27], Operations: ['73-37=36', '21+6=27']
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,23 unequal: No Solution
Exploring Operation: 36*27=972, Resulting Numbers: [972]
972,23 unequal: No Solution
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 23:[21, 6], Operations: ['73-37=36', '36/6=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,23 unequal: No Solution
Exploring Operation: 21*6=126, Resulting Numbers: [126]
126,23 unequal: No Solution
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 23:[36, 15], Operations: ['73-37=36', '21-6=15']
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,23 unequal: No Solution
Exploring Operation: 36*15=540, Resulting Numbers: [540]
540,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 23:[21, 42], Operations: ['73-37=36', '6+36=42']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,23 unequal: No Solution
Exploring Operation: 21*42=882, Resulting Numbers: [882]
882,23 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 21+42=63, Resulting Numbers: [63]
63,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 23:[73, 21, 31], Operations: ['37-6=31']
Exploring Operation: 31-21=10, Resulting Numbers: [73, 10]
Generated Node #0,1,0: 23:[73, 10] Operation: 31-21=10
Exploring Operation: 21+31=52, Resulting Numbers: [73, 52]
Generated Node #0,1,1: 23:[73, 52] Operation: 21+31=52
Exploring Operation: 73-21=52, Resulting Numbers: [31, 52]
Generated Node #0,1,2: 23:[31, 52] Operation: 73-21=52
Exploring Operation: 73+21=94, Resulting Numbers: [31, 94]
Generated Node #0,1,3: 23:[31, 94] Operation: 73+21=94
Exploring Operation: 73-31=42, Resulting Numbers: [21, 42]
Generated Node #0,1,4: 23:[21, 42] Operation: 73-31=42
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 23:[21, 42], Operations: ['37-6=31', '73-31=42']
Exploring Operation: 21+42=63, Resulting Numbers: [63]
63,23 unequal: No Solution
Exploring Operation: 21*42=882, Resulting Numbers: [882]
882,23 unequal: No Solution
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,23 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 23:[31, 52], Operations: ['37-6=31', '73-21=52']
Exploring Operation: 31*52=1612, Resulting Numbers: [1612]
1612,23 unequal: No Solution
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,23 unequal: No Solution
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[73, 10], Operations: ['37-6=31', '31-21=10']
Exploring Operation: 73-10=63, Resulting Numbers: [63]
63,23 unequal: No Solution
Exploring Operation: 73+10=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 73*10=730, Resulting Numbers: [730]
730,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 23:[73, 52], Operations: ['37-6=31', '21+31=52']
Exploring Operation: 73*52=3796, Resulting Numbers: [3796]
3796,23 unequal: No Solution
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,23 unequal: No Solution
Exploring Operation: 73+52=125, Resulting Numbers: [125]
125,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 23:[31, 94], Operations: ['37-6=31', '73+21=94']
Exploring Operation: 94-31=63, Resulting Numbers: [63]
63,23 unequal: No Solution
Exploring Operation: 31*94=2914, Resulting Numbers: [2914]
2914,23 unequal: No Solution
Exploring Operation: 31+94=125, Resulting Numbers: [125]
125,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 23:[37, 21, 67], Operations: ['73-6=67']
Exploring Operation: 37+21=58, Resulting Numbers: [67, 58]
Generated Node #0,0,0: 23:[67, 58] Operation: 37+21=58
Exploring Operation: 21+67=88, Resulting Numbers: [37, 88]
Generated Node #0,0,1: 23:[37, 88] Operation: 21+67=88
Exploring Operation: 37-21=16, Resulting Numbers: [67, 16]
Generated Node #0,0,2: 23:[67, 16] Operation: 37-21=16
Exploring Operation: 67-21=46, Resulting Numbers: [37, 46]
Generated Node #0,0,3: 23:[37, 46] Operation: 67-21=46
Exploring Operation: 67-37=30, Resulting Numbers: [21, 30]
Generated Node #0,0,4: 23:[21, 30] Operation: 67-37=30
Moving to Node #0,2
Current State: 23:[37, 6, 52], Operations: ['73-21=52']
Exploring Operation: 37+6=43, Resulting Numbers: [52, 43]
Generated Node #0,2,0: 23:[52, 43] Operation: 37+6=43
Exploring Operation: 37-6=31, Resulting Numbers: [52, 31]
Generated Node #0,2,1: 23:[52, 31] Operation: 37-6=31
Exploring Operation: 52-37=15, Resulting Numbers: [6, 15]
Generated Node #0,2,2: 23:[6, 15] Operation: 52-37=15
Exploring Operation: 52-6=46, Resulting Numbers: [37, 46]
Generated Node #0,2,3: 23:[37, 46] Operation: 52-6=46
Exploring Operation: 6+52=58, Resulting Numbers: [37, 58]
Generated Node #0,2,4: 23:[37, 58] Operation: 6+52=58
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 23:[6, 15], Operations: ['73-21=52', '52-37=15']
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,23 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 23:[52, 31], Operations: ['73-21=52', '37-6=31']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,23 unequal: No Solution
Exploring Operation: 52+31=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 52*31=1612, Resulting Numbers: [1612]
1612,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 23:[37, 46], Operations: ['73-21=52', '52-6=46']
Exploring Operation: 46-37=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 37+46=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 37*46=1702, Resulting Numbers: [1702]
1702,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 23:[52, 43], Operations: ['73-21=52', '37+6=43']
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 52+43=95, Resulting Numbers: [95]
95,23 unequal: No Solution
Exploring Operation: 52*43=2236, Resulting Numbers: [2236]
2236,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 23:[37, 58], Operations: ['73-21=52', '6+52=58']
Exploring Operation: 37+58=95, Resulting Numbers: [95]
95,23 unequal: No Solution
Exploring Operation: 37*58=2146, Resulting Numbers: [2146]
2146,23 unequal: No Solution
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 23:[73, 37, 27], Operations: ['21+6=27']
Exploring Operation: 37-27=10, Resulting Numbers: [73, 10]
Generated Node #0,4,0: 23:[73, 10] Operation: 37-27=10
Exploring Operation: 73+27=100, Resulting Numbers: [37, 100]
Generated Node #0,4,1: 23:[37, 100] Operation: 73+27=100
Exploring Operation: 73-37=36, Resulting Numbers: [27, 36]
Generated Node #0,4,2: 23:[27, 36] Operation: 73-37=36
Exploring Operation: 73+37=110, Resulting Numbers: [27, 110]
Generated Node #0,4,3: 23:[27, 110] Operation: 73+37=110
Exploring Operation: 73-27=46, Resulting Numbers: [37, 46]
Generated Node #0,4,4: 23:[37, 46] Operation: 73-27=46
Moving to Node #0,0,4
Current State: 23:[21, 30], Operations: ['73-6=67', '67-37=30']
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,23 unequal: No Solution
Moving to Node #0,4,2
Current State: 23:[27, 36], Operations: ['21+6=27', '73-37=36']
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 27*36=972, Resulting Numbers: [972]
972,23 unequal: No Solution
Exploring Operation: 27+36=63, Resulting Numbers: [63]
63,23 unequal: No Solution
Moving to Node #0,4,4
Current State: 23:[37, 46], Operations: ['21+6=27', '73-27=46']
Exploring Operation: 46-37=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 37*46=1702, Resulting Numbers: [1702]
1702,23 unequal: No Solution
Exploring Operation: 37+46=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[37, 46], Operations: ['73-6=67', '67-21=46']
Exploring Operation: 37+46=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 46-37=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 37*46=1702, Resulting Numbers: [1702]
1702,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[67, 16], Operations: ['73-6=67', '37-21=16']
Exploring Operation: 67*16=1072, Resulting Numbers: [1072]
1072,23 unequal: No Solution
Exploring Operation: 67+16=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Moving to Node #0,4,0
Current State: 23:[73, 10], Operations: ['21+6=27', '37-27=10']
Exploring Operation: 73*10=730, Resulting Numbers: [730]
730,23 unequal: No Solution
Exploring Operation: 73+10=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 73-10=63, Resulting Numbers: [63]
63,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[37, 88], Operations: ['73-6=67', '21+67=88']
Exploring Operation: 37+88=125, Resulting Numbers: [125]
125,23 unequal: No Solution
Exploring Operation: 88-37=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 37*88=3256, Resulting Numbers: [3256]
3256,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[67, 58], Operations: ['73-6=67', '37+21=58']
Exploring Operation: 67+58=125, Resulting Numbers: [125]
125,23 unequal: No Solution
Exploring Operation: 67*58=3886, Resulting Numbers: [3886]
3886,23 unequal: No Solution
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Moving to Node #0,4,3
Current State: 23:[27, 110], Operations: ['21+6=27', '73+37=110']
Exploring Operation: 27+110=137, Resulting Numbers: [137]
137,23 unequal: No Solution
Exploring Operation: 27*110=2970, Resulting Numbers: [2970]
2970,23 unequal: No Solution
Exploring Operation: 110-27=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Moving to Node #0,4,1
Current State: 23:[37, 100], Operations: ['21+6=27', '73+27=100']
Exploring Operation: 100-37=63, Resulting Numbers: [63]
63,23 unequal: No Solution
Exploring Operation: 37*100=3700, Resulting Numbers: [3700]
3700,23 unequal: No Solution
Exploring Operation: 37+100=137, Resulting Numbers: [137]
137,23 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
76,
92,
90,
15
] | 89 |
[
"92-76=16",
"90+15=105",
"105-16=89"
] |
Current State: 89:[76, 92, 90, 15], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [90, 15, 16]
Generated Node #2: [90, 15, 16] from Operation: 92-76=16
Current State: 89:[90, 15, 16], Operations: ['92-76=16']
Exploring Operation: 90+15=105, Resulting Numbers: [16, 105]
Generated Node #3: [16, 105] from Operation: 90+15=105
Current State: 89:[16, 105], Operations: ['92-76=16', '90+15=105']
Exploring Operation: 105-16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
Current State: 89:[76, 92, 90, 15], Operations: []
Exploring Operation: 92-15=77, Resulting Numbers: [76, 90, 77]
Generated Node #0,0: 89:[76, 90, 77] Operation: 92-15=77
Exploring Operation: 76+15=91, Resulting Numbers: [92, 90, 91]
Generated Node #0,1: 89:[92, 90, 91] Operation: 76+15=91
Exploring Operation: 76-15=61, Resulting Numbers: [92, 90, 61]
Generated Node #0,2: 89:[92, 90, 61] Operation: 76-15=61
Exploring Operation: 92+15=107, Resulting Numbers: [76, 90, 107]
Generated Node #0,3: 89:[76, 90, 107] Operation: 92+15=107
Exploring Operation: 90-15=75, Resulting Numbers: [76, 92, 75]
Generated Node #0,4: 89:[76, 92, 75] Operation: 90-15=75
Moving to Node #0,1
Current State: 89:[92, 90, 91], Operations: ['76+15=91']
Exploring Operation: 92+90=182, Resulting Numbers: [91, 182]
Generated Node #0,1,0: 89:[91, 182] Operation: 92+90=182
Exploring Operation: 92-91=1, Resulting Numbers: [90, 1]
Generated Node #0,1,1: 89:[90, 1] Operation: 92-91=1
Exploring Operation: 92+91=183, Resulting Numbers: [90, 183]
Generated Node #0,1,2: 89:[90, 183] Operation: 92+91=183
Exploring Operation: 91-90=1, Resulting Numbers: [92, 1]
Generated Node #0,1,3: 89:[92, 1] Operation: 91-90=1
Exploring Operation: 92-90=2, Resulting Numbers: [91, 2]
Generated Node #0,1,4: 89:[91, 2] Operation: 92-90=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[90, 1], Operations: ['76+15=91', '92-91=1']
Exploring Operation: 90/1=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[76, 92, 90, 15], Operations: []
Exploring Operation: 76+15=91, Resulting Numbers: [92, 90, 91]
Generated Node #0,1: 89:[92, 90, 91] Operation: 76+15=91
Moving to Node #0,1
Current State: 89:[92, 90, 91], Operations: ['76+15=91']
Exploring Operation: 92-91=1, Resulting Numbers: [90, 1]
Generated Node #0,1,1: 89:[90, 1] Operation: 92-91=1
Moving to Node #0,1,1
Current State: 89:[90, 1], Operations: ['76+15=91', '92-91=1']
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_5
|
sum_heuristic
|
[
10,
70,
78,
84
] | 62 |
[
"84-70=14",
"10*14=140",
"140-78=62"
] |
Current State: 62:[10, 70, 78, 84], Operations: []
Exploring Operation: 84-70=14, Resulting Numbers: [10, 78, 14]
Generated Node #2: [10, 78, 14] from Operation: 84-70=14
Current State: 62:[10, 78, 14], Operations: ['84-70=14']
Exploring Operation: 10*14=140, Resulting Numbers: [78, 140]
Generated Node #3: [78, 140] from Operation: 10*14=140
Current State: 62:[78, 140], Operations: ['84-70=14', '10*14=140']
Exploring Operation: 140-78=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
Current State: 62:[10, 70, 78, 84], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [10, 70, 6]
Generated Node #0,0: 62:[10, 70, 6] Operation: 84-78=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[10, 70, 6], Operations: ['84-78=6']
Exploring Operation: 70-10=60, Resulting Numbers: [6, 60]
Generated Node #0,0,0: 62:[6, 60] Operation: 70-10=60
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[6, 60], Operations: ['84-78=6', '70-10=60']
Exploring Operation: 6+60=66, Resulting Numbers: [66]
66,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
83,
55,
5,
71
] | 94 |
[
"83-55=28",
"71-5=66",
"28+66=94"
] |
Current State: 94:[83, 55, 5, 71], Operations: []
Exploring Operation: 83-55=28, Resulting Numbers: [5, 71, 28]
Generated Node #2: [5, 71, 28] from Operation: 83-55=28
Current State: 94:[5, 71, 28], Operations: ['83-55=28']
Exploring Operation: 71-5=66, Resulting Numbers: [28, 66]
Generated Node #3: [28, 66] from Operation: 71-5=66
Current State: 94:[28, 66], Operations: ['83-55=28', '71-5=66']
Exploring Operation: 28+66=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[83, 55, 5, 71], Operations: []
Exploring Operation: 71-55=16, Resulting Numbers: [83, 5, 16]
Generated Node #0,0: 94:[83, 5, 16] Operation: 71-55=16
Exploring Operation: 55-5=50, Resulting Numbers: [83, 71, 50]
Generated Node #0,1: 94:[83, 71, 50] Operation: 55-5=50
Exploring Operation: 5+71=76, Resulting Numbers: [83, 55, 76]
Generated Node #0,2: 94:[83, 55, 76] Operation: 5+71=76
Exploring Operation: 83-71=12, Resulting Numbers: [55, 5, 12]
Generated Node #0,3: 94:[55, 5, 12] Operation: 83-71=12
Exploring Operation: 83+5=88, Resulting Numbers: [55, 71, 88]
Generated Node #0,4: 94:[55, 71, 88] Operation: 83+5=88
Start Sub Search at level 1: Moving to Node #0,3
Current State: 94:[55, 5, 12], Operations: ['83-71=12']
Exploring Operation: 55-12=43, Resulting Numbers: [5, 43]
Generated Node #0,3,0: 94:[5, 43] Operation: 55-12=43
Exploring Operation: 5*12=60, Resulting Numbers: [55, 60]
Generated Node #0,3,1: 94:[55, 60] Operation: 5*12=60
Exploring Operation: 55-5=50, Resulting Numbers: [12, 50]
Generated Node #0,3,2: 94:[12, 50] Operation: 55-5=50
Exploring Operation: 55/5=11, Resulting Numbers: [12, 11]
Generated Node #0,3,3: 94:[12, 11] Operation: 55/5=11
Exploring Operation: 12-5=7, Resulting Numbers: [55, 7]
Generated Node #0,3,4: 94:[55, 7] Operation: 12-5=7
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 94:[5, 43], Operations: ['83-71=12', '55-12=43']
Exploring Operation: 5*43=215, Resulting Numbers: [215]
215,94 unequal: No Solution
Exploring Operation: 5+43=48, Resulting Numbers: [48]
48,94 unequal: No Solution
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 94:[12, 50], Operations: ['83-71=12', '55-5=50']
Exploring Operation: 12+50=62, Resulting Numbers: [62]
62,94 unequal: No Solution
Exploring Operation: 12*50=600, Resulting Numbers: [600]
600,94 unequal: No Solution
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 94:[55, 7], Operations: ['83-71=12', '12-5=7']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,94 unequal: No Solution
Exploring Operation: 55*7=385, Resulting Numbers: [385]
385,94 unequal: No Solution
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 94:[12, 11], Operations: ['83-71=12', '55/5=11']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,94 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 94:[55, 60], Operations: ['83-71=12', '5*12=60']
Exploring Operation: 55+60=115, Resulting Numbers: [115]
115,94 unequal: No Solution
Exploring Operation: 55*60=3300, Resulting Numbers: [3300]
3300,94 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[83, 5, 16], Operations: ['71-55=16']
Exploring Operation: 16-5=11, Resulting Numbers: [83, 11]
Generated Node #0,0,0: 94:[83, 11] Operation: 16-5=11
Exploring Operation: 83+5=88, Resulting Numbers: [16, 88]
Generated Node #0,0,1: 94:[16, 88] Operation: 83+5=88
Exploring Operation: 5*16=80, Resulting Numbers: [83, 80]
Generated Node #0,0,2: 94:[83, 80] Operation: 5*16=80
Exploring Operation: 83-16=67, Resulting Numbers: [5, 67]
Generated Node #0,0,3: 94:[5, 67] Operation: 83-16=67
Exploring Operation: 83+16=99, Resulting Numbers: [5, 99]
Generated Node #0,0,4: 94:[5, 99] Operation: 83+16=99
Moving to Node #0,0,4
Current State: 94:[5, 99], Operations: ['71-55=16', '83+16=99']
Exploring Operation: 5*99=495, Resulting Numbers: [495]
495,94 unequal: No Solution
Exploring Operation: 5+99=104, Resulting Numbers: [104]
104,94 unequal: No Solution
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[83, 55, 5, 71], Operations: []
Exploring Operation: 71-55=16, Resulting Numbers: [83, 5, 16]
Generated Node #0,0: 94:[83, 5, 16] Operation: 71-55=16
Moving to Node #0,0
Current State: 94:[83, 5, 16], Operations: ['71-55=16']
Exploring Operation: 83+16=99, Resulting Numbers: [5, 99]
Generated Node #0,0,4: 94:[5, 99] Operation: 83+16=99
Moving to Node #0,0,4
Current State: 94:[5, 99], Operations: ['71-55=16', '83+16=99']
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 |
hs_5
|
sum_heuristic
|
[
85,
39,
61,
5
] | 75 |
[
"85-39=46",
"61-46=15",
"5*15=75"
] |
Current State: 75:[85, 39, 61, 5], Operations: []
Exploring Operation: 85-39=46, Resulting Numbers: [61, 5, 46]
Generated Node #2: [61, 5, 46] from Operation: 85-39=46
Current State: 75:[61, 5, 46], Operations: ['85-39=46']
Exploring Operation: 61-46=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 61-46=15
Current State: 75:[5, 15], Operations: ['85-39=46', '61-46=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[85, 39, 61, 5], Operations: []
Exploring Operation: 61-39=22, Resulting Numbers: [85, 5, 22]
Generated Node #0,0: 75:[85, 5, 22] Operation: 61-39=22
Exploring Operation: 85-61=24, Resulting Numbers: [39, 5, 24]
Generated Node #0,1: 75:[39, 5, 24] Operation: 85-61=24
Exploring Operation: 85-5=80, Resulting Numbers: [39, 61, 80]
Generated Node #0,2: 75:[39, 61, 80] Operation: 85-5=80
Exploring Operation: 85/5=17, Resulting Numbers: [39, 61, 17]
Generated Node #0,3: 75:[39, 61, 17] Operation: 85/5=17
Moving to Node #0,0
Current State: 75:[85, 5, 22], Operations: ['61-39=22']
Exploring Operation: 85-22=63, Resulting Numbers: [5, 63]
Generated Node #0,0,0: 75:[5, 63] Operation: 85-22=63
Exploring Operation: 85-5=80, Resulting Numbers: [22, 80]
Generated Node #0,0,1: 75:[22, 80] Operation: 85-5=80
Exploring Operation: 5+22=27, Resulting Numbers: [85, 27]
Generated Node #0,0,2: 75:[85, 27] Operation: 5+22=27
Exploring Operation: 85/5=17, Resulting Numbers: [22, 17]
Generated Node #0,0,3: 75:[22, 17] Operation: 85/5=17
Moving to Node #0,1
Current State: 75:[39, 5, 24], Operations: ['85-61=24']
Exploring Operation: 39+24=63, Resulting Numbers: [5, 63]
Generated Node #0,1,0: 75:[5, 63] Operation: 39+24=63
Exploring Operation: 5+24=29, Resulting Numbers: [39, 29]
Generated Node #0,1,1: 75:[39, 29] Operation: 5+24=29
Exploring Operation: 39-24=15, Resulting Numbers: [5, 15]
Generated Node #0,1,2: 75:[5, 15] Operation: 39-24=15
Exploring Operation: 39-5=34, Resulting Numbers: [24, 34]
Generated Node #0,1,3: 75:[24, 34] Operation: 39-5=34
Moving to Node #0,3
Current State: 75:[39, 61, 17], Operations: ['85/5=17']
Exploring Operation: 39+61=100, Resulting Numbers: [17, 100]
Generated Node #0,3,0: 75:[17, 100] Operation: 39+61=100
Exploring Operation: 39-17=22, Resulting Numbers: [61, 22]
Generated Node #0,3,1: 75:[61, 22] Operation: 39-17=22
Exploring Operation: 61-39=22, Resulting Numbers: [17, 22]
Generated Node #0,3,2: 75:[17, 22] Operation: 61-39=22
Exploring Operation: 61+17=78, Resulting Numbers: [39, 78]
Generated Node #0,3,3: 75:[39, 78] Operation: 61+17=78
Moving to Node #0,2
Current State: 75:[39, 61, 80], Operations: ['85-5=80']
Exploring Operation: 39+61=100, Resulting Numbers: [80, 100]
Generated Node #0,2,0: 75:[80, 100] Operation: 39+61=100
Exploring Operation: 61-39=22, Resulting Numbers: [80, 22]
Generated Node #0,2,1: 75:[80, 22] Operation: 61-39=22
Exploring Operation: 80-39=41, Resulting Numbers: [61, 41]
Generated Node #0,2,2: 75:[61, 41] Operation: 80-39=41
Exploring Operation: 80-61=19, Resulting Numbers: [39, 19]
Generated Node #0,2,3: 75:[39, 19] Operation: 80-61=19
Moving to Node #0,1,2
Current State: 75:[5, 15], Operations: ['85-61=24', '39-24=15']
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[85, 39, 61, 5], Operations: []
Exploring Operation: 85-61=24, Resulting Numbers: [39, 5, 24]
Generated Node #0,1: 75:[39, 5, 24] Operation: 85-61=24
Moving to Node #0,1
Current State: 75:[39, 5, 24], Operations: ['85-61=24']
Exploring Operation: 39-24=15, Resulting Numbers: [5, 15]
Generated Node #0,1,2: 75:[5, 15] Operation: 39-24=15
Moving to Node #0,1,2
Current State: 75:[5, 15], Operations: ['85-61=24', '39-24=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.977431 |
hs_4
|
mult_heuristic
|
[
23,
70,
11,
35
] | 24 |
[
"23-11=12",
"70/35=2",
"12*2=24"
] |
Current State: 24:[23, 70, 11, 35], Operations: []
Exploring Operation: 23-11=12, Resulting Numbers: [70, 35, 12]
Generated Node #2: [70, 35, 12] from Operation: 23-11=12
Current State: 24:[70, 35, 12], Operations: ['23-11=12']
Exploring Operation: 70/35=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 70/35=2
Current State: 24:[12, 2], Operations: ['23-11=12', '70/35=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
Current State: 24:[23, 70, 11, 35], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [23, 11, 2]
Generated Node #0,0: 24:[23, 11, 2] Operation: 70/35=2
Exploring Operation: 70-35=35, Resulting Numbers: [23, 11, 35]
Generated Node #0,1: 24:[23, 11, 35] Operation: 70-35=35
Moving to Node #0,0
Current State: 24:[23, 11, 2], Operations: ['70/35=2']
Exploring Operation: 23+2=25, Resulting Numbers: [11, 25]
Generated Node #0,0,0: 24:[11, 25] Operation: 23+2=25
Exploring Operation: 23-11=12, Resulting Numbers: [2, 12]
Generated Node #0,0,1: 24:[2, 12] Operation: 23-11=12
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 24:[2, 12], Operations: ['70/35=2', '23-11=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[23, 70, 11, 35], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [23, 11, 2]
Generated Node #0,0: 24:[23, 11, 2] Operation: 70/35=2
Moving to Node #0,0
Current State: 24:[23, 11, 2], Operations: ['70/35=2']
Exploring Operation: 23-11=12, Resulting Numbers: [2, 12]
Generated Node #0,0,1: 24:[2, 12] Operation: 23-11=12
Moving to Node #0,0,1
Current State: 24:[2, 12], Operations: ['70/35=2', '23-11=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
sum_heuristic
|
[
96,
52,
4,
48
] | 80 |
[
"52-48=4",
"4*4=16",
"96-16=80"
] |
Current State: 80:[96, 52, 4, 48], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [96, 4, 4]
Generated Node #2: [96, 4, 4] from Operation: 52-48=4
Current State: 80:[96, 4, 4], Operations: ['52-48=4']
Exploring Operation: 4*4=16, Resulting Numbers: [96, 16]
Generated Node #3: [96, 16] from Operation: 4*4=16
Current State: 80:[96, 16], Operations: ['52-48=4', '4*4=16']
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
Current State: 80:[96, 52, 4, 48], Operations: []
Exploring Operation: 96-52=44, Resulting Numbers: [4, 48, 44]
Generated Node #0,0: 80:[4, 48, 44] Operation: 96-52=44
Moving to Node #0,0
Current State: 80:[4, 48, 44], Operations: ['96-52=44']
Exploring Operation: 48-44=4, Resulting Numbers: [4, 4]
Generated Node #0,0,0: 80:[4, 4] Operation: 48-44=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[4, 4], Operations: ['96-52=44', '48-44=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
67,
2,
99,
34
] | 30 |
[
"99-67=32",
"2*32=64",
"64-34=30"
] |
Current State: 30:[67, 2, 99, 34], Operations: []
Exploring Operation: 99-67=32, Resulting Numbers: [2, 34, 32]
Generated Node #2: [2, 34, 32] from Operation: 99-67=32
Current State: 30:[2, 34, 32], Operations: ['99-67=32']
Exploring Operation: 2*32=64, Resulting Numbers: [34, 64]
Generated Node #3: [34, 64] from Operation: 2*32=64
Current State: 30:[34, 64], Operations: ['99-67=32', '2*32=64']
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
Current State: 30:[67, 2, 99, 34], Operations: []
Exploring Operation: 99-67=32, Resulting Numbers: [2, 34, 32]
Generated Node #0,0: 30:[2, 34, 32] Operation: 99-67=32
Exploring Operation: 67-34=33, Resulting Numbers: [2, 99, 33]
Generated Node #0,1: 30:[2, 99, 33] Operation: 67-34=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[2, 34, 32], Operations: ['99-67=32']
Exploring Operation: 34-32=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 30:[2, 2] Operation: 34-32=2
Exploring Operation: 34-2=32, Resulting Numbers: [32, 32]
Generated Node #0,0,1: 30:[32, 32] Operation: 34-2=32
Moving to Node #0,0,0
Current State: 30:[2, 2], Operations: ['99-67=32', '34-32=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[32, 32], Operations: ['99-67=32', '34-2=32']
Exploring Operation: 32/32=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 32-32=0, Resulting Numbers: [0]
0,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[2, 99, 33], Operations: ['67-34=33']
Exploring Operation: 99-33=66, Resulting Numbers: [2, 66]
Generated Node #0,1,0: 30:[2, 66] Operation: 99-33=66
Exploring Operation: 99/33=3, Resulting Numbers: [2, 3]
Generated Node #0,1,1: 30:[2, 3] Operation: 99/33=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 30:[2, 3], Operations: ['67-34=33', '99/33=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[2, 66], Operations: ['67-34=33', '99-33=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,30 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
32,
78,
62,
15
] | 17 |
[
"78-62=16",
"32/16=2",
"15+2=17"
] |
Current State: 17:[32, 78, 62, 15], Operations: []
Exploring Operation: 78-62=16, Resulting Numbers: [32, 15, 16]
Generated Node #2: [32, 15, 16] from Operation: 78-62=16
Current State: 17:[32, 15, 16], Operations: ['78-62=16']
Exploring Operation: 32/16=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 32/16=2
Current State: 17:[15, 2], Operations: ['78-62=16', '32/16=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[32, 78, 62, 15], Operations: []
Exploring Operation: 78-32=46, Resulting Numbers: [62, 15, 46]
Generated Node #0,0: 17:[62, 15, 46] Operation: 78-32=46
Exploring Operation: 78-62=16, Resulting Numbers: [32, 15, 16]
Generated Node #0,1: 17:[32, 15, 16] Operation: 78-62=16
Exploring Operation: 32-15=17, Resulting Numbers: [78, 62, 17]
Generated Node #0,2: 17:[78, 62, 17] Operation: 32-15=17
Exploring Operation: 62-32=30, Resulting Numbers: [78, 15, 30]
Generated Node #0,3: 17:[78, 15, 30] Operation: 62-32=30
Moving to Node #0,1
Current State: 17:[32, 15, 16], Operations: ['78-62=16']
Exploring Operation: 15+16=31, Resulting Numbers: [32, 31]
Generated Node #0,1,0: 17:[32, 31] Operation: 15+16=31
Exploring Operation: 32-16=16, Resulting Numbers: [15, 16]
Generated Node #0,1,1: 17:[15, 16] Operation: 32-16=16
Exploring Operation: 32/16=2, Resulting Numbers: [15, 2]
Generated Node #0,1,2: 17:[15, 2] Operation: 32/16=2
Exploring Operation: 32-15=17, Resulting Numbers: [16, 17]
Generated Node #0,1,3: 17:[16, 17] Operation: 32-15=17
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 17:[16, 17], Operations: ['78-62=16', '32-15=17']
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,17 unequal: No Solution
Exploring Operation: 16*17=272, Resulting Numbers: [272]
272,17 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 17:[15, 16], Operations: ['78-62=16', '32-16=16']
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,17 unequal: No Solution
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 17:[15, 2], Operations: ['78-62=16', '32/16=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[32, 78, 62, 15], Operations: []
Exploring Operation: 78-62=16, Resulting Numbers: [32, 15, 16]
Generated Node #0,1: 17:[32, 15, 16] Operation: 78-62=16
Moving to Node #0,1
Current State: 17:[32, 15, 16], Operations: ['78-62=16']
Exploring Operation: 32/16=2, Resulting Numbers: [15, 2]
Generated Node #0,1,2: 17:[15, 2] Operation: 32/16=2
Moving to Node #0,1,2
Current State: 17:[15, 2], Operations: ['78-62=16', '32/16=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 |
hs_4
|
mult_heuristic
|
[
1,
5,
80,
23
] | 38 |
[
"23-1=22",
"80/5=16",
"22+16=38"
] |
Current State: 38:[1, 5, 80, 23], Operations: []
Exploring Operation: 23-1=22, Resulting Numbers: [5, 80, 22]
Generated Node #2: [5, 80, 22] from Operation: 23-1=22
Current State: 38:[5, 80, 22], Operations: ['23-1=22']
Exploring Operation: 80/5=16, Resulting Numbers: [22, 16]
Generated Node #3: [22, 16] from Operation: 80/5=16
Current State: 38:[22, 16], Operations: ['23-1=22', '80/5=16']
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
Current State: 38:[1, 5, 80, 23], Operations: []
Exploring Operation: 80-23=57, Resulting Numbers: [1, 5, 57]
Generated Node #0,0: 38:[1, 5, 57] Operation: 80-23=57
Exploring Operation: 23-5=18, Resulting Numbers: [1, 80, 18]
Generated Node #0,1: 38:[1, 80, 18] Operation: 23-5=18
Exploring Operation: 5-1=4, Resulting Numbers: [80, 23, 4]
Generated Node #0,2: 38:[80, 23, 4] Operation: 5-1=4
Exploring Operation: 80-5=75, Resulting Numbers: [1, 23, 75]
Generated Node #0,3: 38:[1, 23, 75] Operation: 80-5=75
Exploring Operation: 80/5=16, Resulting Numbers: [1, 23, 16]
Generated Node #0,4: 38:[1, 23, 16] Operation: 80/5=16
Start Sub Search at level 1: Moving to Node #0,4
Current State: 38:[1, 23, 16], Operations: ['80/5=16']
Exploring Operation: 1+16=17, Resulting Numbers: [23, 17]
Generated Node #0,4,0: 38:[23, 17] Operation: 1+16=17
Exploring Operation: 1*23=23, Resulting Numbers: [16, 23]
Generated Node #0,4,1: 38:[16, 23] Operation: 1*23=23
Exploring Operation: 23+16=39, Resulting Numbers: [1, 39]
Generated Node #0,4,2: 38:[1, 39] Operation: 23+16=39
Exploring Operation: 23-16=7, Resulting Numbers: [1, 7]
Generated Node #0,4,3: 38:[1, 7] Operation: 23-16=7
Exploring Operation: 23-1=22, Resulting Numbers: [16, 22]
Generated Node #0,4,4: 38:[16, 22] Operation: 23-1=22
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 38:[1, 39], Operations: ['80/5=16', '23+16=39']
Exploring Operation: 1+39=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[1, 5, 80, 23], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [1, 23, 16]
Generated Node #0,4: 38:[1, 23, 16] Operation: 80/5=16
Moving to Node #0,4
Current State: 38:[1, 23, 16], Operations: ['80/5=16']
Exploring Operation: 23+16=39, Resulting Numbers: [1, 39]
Generated Node #0,4,2: 38:[1, 39] Operation: 23+16=39
Moving to Node #0,4,2
Current State: 38:[1, 39], Operations: ['80/5=16', '23+16=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 |
hs_5
|
sum_heuristic
|
[
20,
69,
5,
25
] | 73 |
[
"20*5=100",
"100/25=4",
"69+4=73"
] |
Current State: 73:[20, 69, 5, 25], Operations: []
Exploring Operation: 20*5=100, Resulting Numbers: [69, 25, 100]
Generated Node #2: [69, 25, 100] from Operation: 20*5=100
Current State: 73:[69, 25, 100], Operations: ['20*5=100']
Exploring Operation: 100/25=4, Resulting Numbers: [69, 4]
Generated Node #3: [69, 4] from Operation: 100/25=4
Current State: 73:[69, 4], Operations: ['20*5=100', '100/25=4']
Exploring Operation: 69+4=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
Current State: 73:[20, 69, 5, 25], Operations: []
Exploring Operation: 5+25=30, Resulting Numbers: [20, 69, 30]
Generated Node #0,0: 73:[20, 69, 30] Operation: 5+25=30
Exploring Operation: 20+5=25, Resulting Numbers: [69, 25, 25]
Generated Node #0,1: 73:[69, 25, 25] Operation: 20+5=25
Exploring Operation: 20+25=45, Resulting Numbers: [69, 5, 45]
Generated Node #0,2: 73:[69, 5, 45] Operation: 20+25=45
Exploring Operation: 20*5=100, Resulting Numbers: [69, 25, 100]
Generated Node #0,3: 73:[69, 25, 100] Operation: 20*5=100
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[69, 25, 100], Operations: ['20*5=100']
Exploring Operation: 69+25=94, Resulting Numbers: [100, 94]
Generated Node #0,3,0: 73:[100, 94] Operation: 69+25=94
Exploring Operation: 100-25=75, Resulting Numbers: [69, 75]
Generated Node #0,3,1: 73:[69, 75] Operation: 100-25=75
Exploring Operation: 25+100=125, Resulting Numbers: [69, 125]
Generated Node #0,3,2: 73:[69, 125] Operation: 25+100=125
Exploring Operation: 69-25=44, Resulting Numbers: [100, 44]
Generated Node #0,3,3: 73:[100, 44] Operation: 69-25=44
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 73:[69, 75], Operations: ['20*5=100', '100-25=75']
Exploring Operation: 69*75=5175, Resulting Numbers: [5175]
5175,73 unequal: No Solution
Exploring Operation: 75-69=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 69+75=144, Resulting Numbers: [144]
144,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 73:[100, 94], Operations: ['20*5=100', '69+25=94']
Exploring Operation: 100+94=194, Resulting Numbers: [194]
194,73 unequal: No Solution
Exploring Operation: 100-94=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 100*94=9400, Resulting Numbers: [9400]
9400,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 73:[69, 125], Operations: ['20*5=100', '25+100=125']
Exploring Operation: 69*125=8625, Resulting Numbers: [8625]
8625,73 unequal: No Solution
Exploring Operation: 69+125=194, Resulting Numbers: [194]
194,73 unequal: No Solution
Exploring Operation: 125-69=56, Resulting Numbers: [56]
56,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 73:[100, 44], Operations: ['20*5=100', '69-25=44']
Exploring Operation: 100-44=56, Resulting Numbers: [56]
56,73 unequal: No Solution
Exploring Operation: 100*44=4400, Resulting Numbers: [4400]
4400,73 unequal: No Solution
Exploring Operation: 100+44=144, Resulting Numbers: [144]
144,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[20, 69, 30], Operations: ['5+25=30']
Exploring Operation: 30-20=10, Resulting Numbers: [69, 10]
Generated Node #0,0,0: 73:[69, 10] Operation: 30-20=10
Exploring Operation: 69-20=49, Resulting Numbers: [30, 49]
Generated Node #0,0,1: 73:[30, 49] Operation: 69-20=49
Exploring Operation: 20+69=89, Resulting Numbers: [30, 89]
Generated Node #0,0,2: 73:[30, 89] Operation: 20+69=89
Exploring Operation: 20+30=50, Resulting Numbers: [69, 50]
Generated Node #0,0,3: 73:[69, 50] Operation: 20+30=50
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 73:[69, 50], Operations: ['5+25=30', '20+30=50']
Exploring Operation: 69+50=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 69*50=3450, Resulting Numbers: [3450]
3450,73 unequal: No Solution
Exploring Operation: 69-50=19, Resulting Numbers: [19]
19,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 73:[30, 89], Operations: ['5+25=30', '20+69=89']
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,73 unequal: No Solution
Exploring Operation: 30+89=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 30*89=2670, Resulting Numbers: [2670]
2670,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[69, 10], Operations: ['5+25=30', '30-20=10']
Exploring Operation: 69*10=690, Resulting Numbers: [690]
690,73 unequal: No Solution
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,73 unequal: No Solution
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[30, 49], Operations: ['5+25=30', '69-20=49']
Exploring Operation: 30+49=79, Resulting Numbers: [79]
79,73 unequal: No Solution
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Exploring Operation: 30*49=1470, Resulting Numbers: [1470]
1470,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[69, 25, 25], Operations: ['20+5=25']
Exploring Operation: 25+25=50, Resulting Numbers: [69, 50]
Generated Node #0,1,0: 73:[69, 50] Operation: 25+25=50
Exploring Operation: 69+25=94, Resulting Numbers: [25, 94]
Generated Node #0,1,1: 73:[25, 94] Operation: 69+25=94
Exploring Operation: 69+25=94, Resulting Numbers: [25, 94]
Generated Node #0,1,2: 73:[25, 94] Operation: 69+25=94
Exploring Operation: 25/25=1, Resulting Numbers: [69, 1]
Generated Node #0,1,3: 73:[69, 1] Operation: 25/25=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[69, 50], Operations: ['20+5=25', '25+25=50']
Exploring Operation: 69*50=3450, Resulting Numbers: [3450]
3450,73 unequal: No Solution
Exploring Operation: 69+50=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 69-50=19, Resulting Numbers: [19]
19,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[25, 94], Operations: ['20+5=25', '69+25=94']
Exploring Operation: 25*94=2350, Resulting Numbers: [2350]
2350,73 unequal: No Solution
Exploring Operation: 25+94=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 94-25=69, Resulting Numbers: [69]
69,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 73:[25, 94], Operations: ['20+5=25', '69+25=94']
Exploring Operation: 25*94=2350, Resulting Numbers: [2350]
2350,73 unequal: No Solution
Exploring Operation: 25+94=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 94-25=69, Resulting Numbers: [69]
69,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 73:[69, 1], Operations: ['20+5=25', '25/25=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[69, 5, 45], Operations: ['20+25=45']
Exploring Operation: 45-5=40, Resulting Numbers: [69, 40]
Generated Node #0,2,0: 73:[69, 40] Operation: 45-5=40
Exploring Operation: 5+45=50, Resulting Numbers: [69, 50]
Generated Node #0,2,1: 73:[69, 50] Operation: 5+45=50
Exploring Operation: 69-5=64, Resulting Numbers: [45, 64]
Generated Node #0,2,2: 73:[45, 64] Operation: 69-5=64
Exploring Operation: 69+5=74, Resulting Numbers: [45, 74]
Generated Node #0,2,3: 73:[45, 74] Operation: 69+5=74
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 73:[69, 50], Operations: ['20+25=45', '5+45=50']
Exploring Operation: 69+50=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 69-50=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Exploring Operation: 69*50=3450, Resulting Numbers: [3450]
3450,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 73:[45, 74], Operations: ['20+25=45', '69+5=74']
Exploring Operation: 45*74=3330, Resulting Numbers: [3330]
3330,73 unequal: No Solution
Exploring Operation: 45+74=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 74-45=29, Resulting Numbers: [29]
29,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 73:[69, 40], Operations: ['20+25=45', '45-5=40']
Exploring Operation: 69+40=109, Resulting Numbers: [109]
109,73 unequal: No Solution
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,73 unequal: No Solution
Exploring Operation: 69*40=2760, Resulting Numbers: [2760]
2760,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 73:[45, 64], Operations: ['20+25=45', '69-5=64']
Exploring Operation: 45+64=109, Resulting Numbers: [109]
109,73 unequal: No Solution
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Exploring Operation: 45*64=2880, Resulting Numbers: [2880]
2880,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
49,
58,
77,
14
] | 54 |
[
"58-49=9",
"77-14=63",
"63-9=54"
] |
Current State: 54:[49, 58, 77, 14], Operations: []
Exploring Operation: 58-49=9, Resulting Numbers: [77, 14, 9]
Generated Node #2: [77, 14, 9] from Operation: 58-49=9
Current State: 54:[77, 14, 9], Operations: ['58-49=9']
Exploring Operation: 77-14=63, Resulting Numbers: [9, 63]
Generated Node #3: [9, 63] from Operation: 77-14=63
Current State: 54:[9, 63], Operations: ['58-49=9', '77-14=63']
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[49, 58, 77, 14], Operations: []
Exploring Operation: 77-58=19, Resulting Numbers: [49, 14, 19]
Generated Node #0,0: 54:[49, 14, 19] Operation: 77-58=19
Exploring Operation: 58-49=9, Resulting Numbers: [77, 14, 9]
Generated Node #0,1: 54:[77, 14, 9] Operation: 58-49=9
Exploring Operation: 49-14=35, Resulting Numbers: [58, 77, 35]
Generated Node #0,2: 54:[58, 77, 35] Operation: 49-14=35
Exploring Operation: 77-14=63, Resulting Numbers: [49, 58, 63]
Generated Node #0,3: 54:[49, 58, 63] Operation: 77-14=63
Exploring Operation: 77-49=28, Resulting Numbers: [58, 14, 28]
Generated Node #0,4: 54:[58, 14, 28] Operation: 77-49=28
Moving to Node #0,4
Current State: 54:[58, 14, 28], Operations: ['77-49=28']
Exploring Operation: 28-14=14, Resulting Numbers: [58, 14]
Generated Node #0,4,0: 54:[58, 14] Operation: 28-14=14
Exploring Operation: 58-28=30, Resulting Numbers: [14, 30]
Generated Node #0,4,1: 54:[14, 30] Operation: 58-28=30
Exploring Operation: 28/14=2, Resulting Numbers: [58, 2]
Generated Node #0,4,2: 54:[58, 2] Operation: 28/14=2
Exploring Operation: 58-14=44, Resulting Numbers: [28, 44]
Generated Node #0,4,3: 54:[28, 44] Operation: 58-14=44
Exploring Operation: 14+28=42, Resulting Numbers: [58, 42]
Generated Node #0,4,4: 54:[58, 42] Operation: 14+28=42
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 54:[58, 2], Operations: ['77-49=28', '28/14=2']
Exploring Operation: 58*2=116, Resulting Numbers: [116]
116,54 unequal: No Solution
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,54 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 54:[14, 30], Operations: ['77-49=28', '58-28=30']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,54 unequal: No Solution
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 54:[58, 14], Operations: ['77-49=28', '28-14=14']
Exploring Operation: 58+14=72, Resulting Numbers: [72]
72,54 unequal: No Solution
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,54 unequal: No Solution
Exploring Operation: 58*14=812, Resulting Numbers: [812]
812,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 54:[28, 44], Operations: ['77-49=28', '58-14=44']
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Exploring Operation: 28*44=1232, Resulting Numbers: [1232]
1232,54 unequal: No Solution
Exploring Operation: 28+44=72, Resulting Numbers: [72]
72,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 54:[58, 42], Operations: ['77-49=28', '14+28=42']
Exploring Operation: 58*42=2436, Resulting Numbers: [2436]
2436,54 unequal: No Solution
Exploring Operation: 58-42=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Exploring Operation: 58+42=100, Resulting Numbers: [100]
100,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 54:[49, 14, 19], Operations: ['77-58=19']
Exploring Operation: 19-14=5, Resulting Numbers: [49, 5]
Generated Node #0,0,0: 54:[49, 5] Operation: 19-14=5
Exploring Operation: 49-14=35, Resulting Numbers: [19, 35]
Generated Node #0,0,1: 54:[19, 35] Operation: 49-14=35
Exploring Operation: 49-19=30, Resulting Numbers: [14, 30]
Generated Node #0,0,2: 54:[14, 30] Operation: 49-19=30
Exploring Operation: 14+19=33, Resulting Numbers: [49, 33]
Generated Node #0,0,3: 54:[49, 33] Operation: 14+19=33
Exploring Operation: 49+14=63, Resulting Numbers: [19, 63]
Generated Node #0,0,4: 54:[19, 63] Operation: 49+14=63
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[49, 5], Operations: ['77-58=19', '19-14=5']
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[49, 58, 77, 14], Operations: []
Exploring Operation: 77-58=19, Resulting Numbers: [49, 14, 19]
Generated Node #0,0: 54:[49, 14, 19] Operation: 77-58=19
Moving to Node #0,0
Current State: 54:[49, 14, 19], Operations: ['77-58=19']
Exploring Operation: 19-14=5, Resulting Numbers: [49, 5]
Generated Node #0,0,0: 54:[49, 5] Operation: 19-14=5
Moving to Node #0,0,0
Current State: 54:[49, 5], Operations: ['77-58=19', '19-14=5']
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 |
hs_5
|
mult_heuristic
|
[
30,
36,
3,
99
] | 85 |
[
"3+99=102",
"30*102=3060",
"3060/36=85"
] |
Current State: 85:[30, 36, 3, 99], Operations: []
Exploring Operation: 3+99=102, Resulting Numbers: [30, 36, 102]
Generated Node #2: [30, 36, 102] from Operation: 3+99=102
Current State: 85:[30, 36, 102], Operations: ['3+99=102']
Exploring Operation: 30*102=3060, Resulting Numbers: [36, 3060]
Generated Node #3: [36, 3060] from Operation: 30*102=3060
Current State: 85:[36, 3060], Operations: ['3+99=102', '30*102=3060']
Exploring Operation: 3060/36=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
Current State: 85:[30, 36, 3, 99], Operations: []
Exploring Operation: 36-30=6, Resulting Numbers: [3, 99, 6]
Generated Node #0,0: 85:[3, 99, 6] Operation: 36-30=6
Exploring Operation: 36/3=12, Resulting Numbers: [30, 99, 12]
Generated Node #0,1: 85:[30, 99, 12] Operation: 36/3=12
Moving to Node #0,0
Current State: 85:[3, 99, 6], Operations: ['36-30=6']
Exploring Operation: 99-3=96, Resulting Numbers: [6, 96]
Generated Node #0,0,0: 85:[6, 96] Operation: 99-3=96
Exploring Operation: 99-6=93, Resulting Numbers: [3, 93]
Generated Node #0,0,1: 85:[3, 93] Operation: 99-6=93
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 85:[3, 93], Operations: ['36-30=6', '99-6=93']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Exploring Operation: 3+93=96, Resulting Numbers: [96]
96,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[6, 96], Operations: ['36-30=6', '99-3=96']
Exploring Operation: 96-6=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Exploring Operation: 96/6=16, Resulting Numbers: [16]
16,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 85:[30, 99, 12], Operations: ['36/3=12']
Exploring Operation: 99-12=87, Resulting Numbers: [30, 87]
Generated Node #0,1,0: 85:[30, 87] Operation: 99-12=87
Exploring Operation: 30-12=18, Resulting Numbers: [99, 18]
Generated Node #0,1,1: 85:[99, 18] Operation: 30-12=18
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 85:[30, 87], Operations: ['36/3=12', '99-12=87']
Exploring Operation: 30+87=117, Resulting Numbers: [117]
117,85 unequal: No Solution
Exploring Operation: 87-30=57, Resulting Numbers: [57]
57,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[99, 18], Operations: ['36/3=12', '30-12=18']
Exploring Operation: 99+18=117, Resulting Numbers: [117]
117,85 unequal: No Solution
Exploring Operation: 99-18=81, Resulting Numbers: [81]
81,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
6,
6,
14,
51
] | 37 |
[
"6-6=0",
"51-14=37",
"0+37=37"
] |
Current State: 37:[6, 6, 14, 51], Operations: []
Exploring Operation: 6-6=0, Resulting Numbers: [14, 51, 0]
Generated Node #2: [14, 51, 0] from Operation: 6-6=0
Current State: 37:[14, 51, 0], Operations: ['6-6=0']
Exploring Operation: 51-14=37, Resulting Numbers: [0, 37]
Generated Node #3: [0, 37] from Operation: 51-14=37
Current State: 37:[0, 37], Operations: ['6-6=0', '51-14=37']
Exploring Operation: 0+37=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
Current State: 37:[6, 6, 14, 51], Operations: []
Exploring Operation: 6+14=20, Resulting Numbers: [6, 51, 20]
Generated Node #0,0: 37:[6, 51, 20] Operation: 6+14=20
Exploring Operation: 51-6=45, Resulting Numbers: [6, 14, 45]
Generated Node #0,1: 37:[6, 14, 45] Operation: 51-6=45
Exploring Operation: 6+6=12, Resulting Numbers: [14, 51, 12]
Generated Node #0,2: 37:[14, 51, 12] Operation: 6+6=12
Exploring Operation: 6*6=36, Resulting Numbers: [14, 51, 36]
Generated Node #0,3: 37:[14, 51, 36] Operation: 6*6=36
Start Sub Search at level 1: Moving to Node #0,3
Current State: 37:[14, 51, 36], Operations: ['6*6=36']
Exploring Operation: 14+51=65, Resulting Numbers: [36, 65]
Generated Node #0,3,0: 37:[36, 65] Operation: 14+51=65
Exploring Operation: 36-14=22, Resulting Numbers: [51, 22]
Generated Node #0,3,1: 37:[51, 22] Operation: 36-14=22
Exploring Operation: 14+36=50, Resulting Numbers: [51, 50]
Generated Node #0,3,2: 37:[51, 50] Operation: 14+36=50
Exploring Operation: 51-14=37, Resulting Numbers: [36, 37]
Generated Node #0,3,3: 37:[36, 37] Operation: 51-14=37
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 37:[36, 37], Operations: ['6*6=36', '51-14=37']
Exploring Operation: 36+37=73, Resulting Numbers: [73]
73,37 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 36*37=1332, Resulting Numbers: [1332]
1332,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 37:[51, 50], Operations: ['6*6=36', '14+36=50']
Exploring Operation: 51+50=101, Resulting Numbers: [101]
101,37 unequal: No Solution
Exploring Operation: 51-50=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 51*50=2550, Resulting Numbers: [2550]
2550,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 37:[36, 65], Operations: ['6*6=36', '14+51=65']
Exploring Operation: 36*65=2340, Resulting Numbers: [2340]
2340,37 unequal: No Solution
Exploring Operation: 36+65=101, Resulting Numbers: [101]
101,37 unequal: No Solution
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 37:[51, 22], Operations: ['6*6=36', '36-14=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 51*22=1122, Resulting Numbers: [1122]
1122,37 unequal: No Solution
Exploring Operation: 51+22=73, Resulting Numbers: [73]
73,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[6, 51, 20], Operations: ['6+14=20']
Exploring Operation: 6+51=57, Resulting Numbers: [20, 57]
Generated Node #0,0,0: 37:[20, 57] Operation: 6+51=57
Exploring Operation: 20-6=14, Resulting Numbers: [51, 14]
Generated Node #0,0,1: 37:[51, 14] Operation: 20-6=14
Exploring Operation: 6+20=26, Resulting Numbers: [51, 26]
Generated Node #0,0,2: 37:[51, 26] Operation: 6+20=26
Exploring Operation: 51-6=45, Resulting Numbers: [20, 45]
Generated Node #0,0,3: 37:[20, 45] Operation: 51-6=45
Moving to Node #0,0,2
Current State: 37:[51, 26], Operations: ['6+14=20', '6+20=26']
Exploring Operation: 51+26=77, Resulting Numbers: [77]
77,37 unequal: No Solution
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 51*26=1326, Resulting Numbers: [1326]
1326,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[20, 45], Operations: ['6+14=20', '51-6=45']
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 20+45=65, Resulting Numbers: [65]
65,37 unequal: No Solution
Exploring Operation: 20*45=900, Resulting Numbers: [900]
900,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[51, 14], Operations: ['6+14=20', '20-6=14']
Exploring Operation: 51*14=714, Resulting Numbers: [714]
714,37 unequal: No Solution
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[6, 6, 14, 51], Operations: []
Exploring Operation: 6+14=20, Resulting Numbers: [6, 51, 20]
Generated Node #0,0: 37:[6, 51, 20] Operation: 6+14=20
Moving to Node #0,0
Current State: 37:[6, 51, 20], Operations: ['6+14=20']
Exploring Operation: 20-6=14, Resulting Numbers: [51, 14]
Generated Node #0,0,1: 37:[51, 14] Operation: 20-6=14
Moving to Node #0,0,1
Current State: 37:[51, 14], Operations: ['6+14=20', '20-6=14']
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 |
hs_4
|
sum_heuristic
|
[
58,
56,
57,
11
] | 35 |
[
"58-56=2",
"11*2=22",
"57-22=35"
] |
Current State: 35:[58, 56, 57, 11], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [57, 11, 2]
Generated Node #2: [57, 11, 2] from Operation: 58-56=2
Current State: 35:[57, 11, 2], Operations: ['58-56=2']
Exploring Operation: 11*2=22, Resulting Numbers: [57, 22]
Generated Node #3: [57, 22] from Operation: 11*2=22
Current State: 35:[57, 22], Operations: ['58-56=2', '11*2=22']
Exploring Operation: 57-22=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[58, 56, 57, 11], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [57, 11, 2]
Generated Node #0,0: 35:[57, 11, 2] Operation: 58-56=2
Exploring Operation: 58-57=1, Resulting Numbers: [56, 11, 1]
Generated Node #0,1: 35:[56, 11, 1] Operation: 58-57=1
Exploring Operation: 58-11=47, Resulting Numbers: [56, 57, 47]
Generated Node #0,2: 35:[56, 57, 47] Operation: 58-11=47
Exploring Operation: 57-56=1, Resulting Numbers: [58, 11, 1]
Generated Node #0,3: 35:[58, 11, 1] Operation: 57-56=1
Moving to Node #0,0
Current State: 35:[57, 11, 2], Operations: ['58-56=2']
Exploring Operation: 57-2=55, Resulting Numbers: [11, 55]
Generated Node #0,0,0: 35:[11, 55] Operation: 57-2=55
Exploring Operation: 57+2=59, Resulting Numbers: [11, 59]
Generated Node #0,0,1: 35:[11, 59] Operation: 57+2=59
Exploring Operation: 57-11=46, Resulting Numbers: [2, 46]
Generated Node #0,0,2: 35:[2, 46] Operation: 57-11=46
Exploring Operation: 11-2=9, Resulting Numbers: [57, 9]
Generated Node #0,0,3: 35:[57, 9] Operation: 11-2=9
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 35:[2, 46], Operations: ['58-56=2', '57-11=46']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,35 unequal: No Solution
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,35 unequal: No Solution
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,35 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[11, 55], Operations: ['58-56=2', '57-2=55']
Exploring Operation: 11*55=605, Resulting Numbers: [605]
605,35 unequal: No Solution
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 11+55=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 35:[57, 9], Operations: ['58-56=2', '11-2=9']
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,35 unequal: No Solution
Exploring Operation: 57*9=513, Resulting Numbers: [513]
513,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 35:[11, 59], Operations: ['58-56=2', '57+2=59']
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,35 unequal: No Solution
Exploring Operation: 11*59=649, Resulting Numbers: [649]
649,35 unequal: No Solution
Exploring Operation: 11+59=70, Resulting Numbers: [70]
70,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 35:[56, 11, 1], Operations: ['58-57=1']
Exploring Operation: 56*1=56, Resulting Numbers: [11, 56]
Generated Node #0,1,0: 35:[11, 56] Operation: 56*1=56
Exploring Operation: 56-1=55, Resulting Numbers: [11, 55]
Generated Node #0,1,1: 35:[11, 55] Operation: 56-1=55
Exploring Operation: 56-11=45, Resulting Numbers: [1, 45]
Generated Node #0,1,2: 35:[1, 45] Operation: 56-11=45
Exploring Operation: 11-1=10, Resulting Numbers: [56, 10]
Generated Node #0,1,3: 35:[56, 10] Operation: 11-1=10
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 35:[1, 45], Operations: ['58-57=1', '56-11=45']
Exploring Operation: 1*45=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 1+45=46, Resulting Numbers: [46]
46,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 35:[11, 55], Operations: ['58-57=1', '56-1=55']
Exploring Operation: 11*55=605, Resulting Numbers: [605]
605,35 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 11+55=66, Resulting Numbers: [66]
66,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 35:[56, 10], Operations: ['58-57=1', '11-1=10']
Exploring Operation: 56*10=560, Resulting Numbers: [560]
560,35 unequal: No Solution
Exploring Operation: 56+10=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[11, 56], Operations: ['58-57=1', '56*1=56']
Exploring Operation: 11*56=616, Resulting Numbers: [616]
616,35 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 35:[58, 11, 1], Operations: ['57-56=1']
Exploring Operation: 58-1=57, Resulting Numbers: [11, 57]
Generated Node #0,3,0: 35:[11, 57] Operation: 58-1=57
Exploring Operation: 58-11=47, Resulting Numbers: [1, 47]
Generated Node #0,3,1: 35:[1, 47] Operation: 58-11=47
Exploring Operation: 11-1=10, Resulting Numbers: [58, 10]
Generated Node #0,3,2: 35:[58, 10] Operation: 11-1=10
Exploring Operation: 58*1=58, Resulting Numbers: [11, 58]
Generated Node #0,3,3: 35:[11, 58] Operation: 58*1=58
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 35:[1, 47], Operations: ['57-56=1', '58-11=47']
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,35 unequal: No Solution
Exploring Operation: 1+47=48, Resulting Numbers: [48]
48,35 unequal: No Solution
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,35 unequal: No Solution
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 35:[11, 57], Operations: ['57-56=1', '58-1=57']
Exploring Operation: 11+57=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 11*57=627, Resulting Numbers: [627]
627,35 unequal: No Solution
Exploring Operation: 57-11=46, Resulting Numbers: [46]
46,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 35:[58, 10], Operations: ['57-56=1', '11-1=10']
Exploring Operation: 58*10=580, Resulting Numbers: [580]
580,35 unequal: No Solution
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 35:[11, 58], Operations: ['57-56=1', '58*1=58']
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,35 unequal: No Solution
Exploring Operation: 11*58=638, Resulting Numbers: [638]
638,35 unequal: No Solution
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 35:[56, 57, 47], Operations: ['58-11=47']
Exploring Operation: 57-47=10, Resulting Numbers: [56, 10]
Generated Node #0,2,0: 35:[56, 10] Operation: 57-47=10
Exploring Operation: 56+57=113, Resulting Numbers: [47, 113]
Generated Node #0,2,1: 35:[47, 113] Operation: 56+57=113
Exploring Operation: 57-56=1, Resulting Numbers: [47, 1]
Generated Node #0,2,2: 35:[47, 1] Operation: 57-56=1
Exploring Operation: 56-47=9, Resulting Numbers: [57, 9]
Generated Node #0,2,3: 35:[57, 9] Operation: 56-47=9
Moving to Node #0,2,2
Current State: 35:[47, 1], Operations: ['58-11=47', '57-56=1']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,35 unequal: No Solution
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,35 unequal: No Solution
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[57, 9], Operations: ['58-11=47', '56-47=9']
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,35 unequal: No Solution
Exploring Operation: 57*9=513, Resulting Numbers: [513]
513,35 unequal: No Solution
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[56, 10], Operations: ['58-11=47', '57-47=10']
Exploring Operation: 56*10=560, Resulting Numbers: [560]
560,35 unequal: No Solution
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 56+10=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[47, 113], Operations: ['58-11=47', '56+57=113']
Exploring Operation: 47*113=5311, Resulting Numbers: [5311]
5311,35 unequal: No Solution
Exploring Operation: 113-47=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Exploring Operation: 47+113=160, Resulting Numbers: [160]
160,35 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
39,
50,
61,
94
] | 47 |
[
"39+61=100",
"50*94=4700",
"4700/100=47"
] |
Current State: 47:[39, 50, 61, 94], Operations: []
Exploring Operation: 39+61=100, Resulting Numbers: [50, 94, 100]
Generated Node #2: [50, 94, 100] from Operation: 39+61=100
Current State: 47:[50, 94, 100], Operations: ['39+61=100']
Exploring Operation: 50*94=4700, Resulting Numbers: [100, 4700]
Generated Node #3: [100, 4700] from Operation: 50*94=4700
Current State: 47:[100, 4700], Operations: ['39+61=100', '50*94=4700']
Exploring Operation: 4700/100=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
Current State: 47:[39, 50, 61, 94], Operations: []
Exploring Operation: 94-39=55, Resulting Numbers: [50, 61, 55]
Generated Node #0,0: 47:[50, 61, 55] Operation: 94-39=55
Moving to Node #0,0
Current State: 47:[50, 61, 55], Operations: ['94-39=55']
Exploring Operation: 61-50=11, Resulting Numbers: [55, 11]
Generated Node #0,0,0: 47:[55, 11] Operation: 61-50=11
Moving to Node #0,0,0
Current State: 47:[55, 11], Operations: ['94-39=55', '61-50=11']
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,47 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
11,
73,
40,
5
] | 72 |
[
"40-11=29",
"5*29=145",
"145-73=72"
] |
Current State: 72:[11, 73, 40, 5], Operations: []
Exploring Operation: 40-11=29, Resulting Numbers: [73, 5, 29]
Generated Node #2: [73, 5, 29] from Operation: 40-11=29
Current State: 72:[73, 5, 29], Operations: ['40-11=29']
Exploring Operation: 5*29=145, Resulting Numbers: [73, 145]
Generated Node #3: [73, 145] from Operation: 5*29=145
Current State: 72:[73, 145], Operations: ['40-11=29', '5*29=145']
Exploring Operation: 145-73=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
Current State: 72:[11, 73, 40, 5], Operations: []
Exploring Operation: 40-11=29, Resulting Numbers: [73, 5, 29]
Generated Node #0,0: 72:[73, 5, 29] Operation: 40-11=29
Exploring Operation: 40-5=35, Resulting Numbers: [11, 73, 35]
Generated Node #0,1: 72:[11, 73, 35] Operation: 40-5=35
Exploring Operation: 11-5=6, Resulting Numbers: [73, 40, 6]
Generated Node #0,2: 72:[73, 40, 6] Operation: 11-5=6
Exploring Operation: 73-40=33, Resulting Numbers: [11, 5, 33]
Generated Node #0,3: 72:[11, 5, 33] Operation: 73-40=33
Exploring Operation: 40/5=8, Resulting Numbers: [11, 73, 8]
Generated Node #0,4: 72:[11, 73, 8] Operation: 40/5=8
Start Sub Search at level 1: Moving to Node #0,4
Current State: 72:[11, 73, 8], Operations: ['40/5=8']
Exploring Operation: 11+8=19, Resulting Numbers: [73, 19]
Generated Node #0,4,0: 72:[73, 19] Operation: 11+8=19
Exploring Operation: 73-11=62, Resulting Numbers: [8, 62]
Generated Node #0,4,1: 72:[8, 62] Operation: 73-11=62
Exploring Operation: 73+8=81, Resulting Numbers: [11, 81]
Generated Node #0,4,2: 72:[11, 81] Operation: 73+8=81
Exploring Operation: 73-8=65, Resulting Numbers: [11, 65]
Generated Node #0,4,3: 72:[11, 65] Operation: 73-8=65
Exploring Operation: 11-8=3, Resulting Numbers: [73, 3]
Generated Node #0,4,4: 72:[73, 3] Operation: 11-8=3
Moving to Node #0,4,4
Current State: 72:[73, 3], Operations: ['40/5=8', '11-8=3']
Exploring Operation: 73*3=219, Resulting Numbers: [219]
219,72 unequal: No Solution
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,72 unequal: No Solution
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,72 unequal: No Solution
Moving to Node #0,4,0
Current State: 72:[73, 19], Operations: ['40/5=8', '11+8=19']
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,72 unequal: No Solution
Exploring Operation: 73*19=1387, Resulting Numbers: [1387]
1387,72 unequal: No Solution
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,72 unequal: No Solution
Moving to Node #0,4,3
Current State: 72:[11, 65], Operations: ['40/5=8', '73-8=65']
Exploring Operation: 11+65=76, Resulting Numbers: [76]
76,72 unequal: No Solution
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,72 unequal: No Solution
Exploring Operation: 11*65=715, Resulting Numbers: [715]
715,72 unequal: No Solution
Moving to Node #0,4,1
Current State: 72:[8, 62], Operations: ['40/5=8', '73-11=62']
Exploring Operation: 8+62=70, Resulting Numbers: [70]
70,72 unequal: No Solution
Exploring Operation: 8*62=496, Resulting Numbers: [496]
496,72 unequal: No Solution
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,72 unequal: No Solution
Moving to Node #0,4,2
Current State: 72:[11, 81], Operations: ['40/5=8', '73+8=81']
Exploring Operation: 81-11=70, Resulting Numbers: [70]
70,72 unequal: No Solution
Exploring Operation: 11+81=92, Resulting Numbers: [92]
92,72 unequal: No Solution
Exploring Operation: 11*81=891, Resulting Numbers: [891]
891,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[11, 73, 35], Operations: ['40-5=35']
Exploring Operation: 11+73=84, Resulting Numbers: [35, 84]
Generated Node #0,1,0: 72:[35, 84] Operation: 11+73=84
Exploring Operation: 73-11=62, Resulting Numbers: [35, 62]
Generated Node #0,1,1: 72:[35, 62] Operation: 73-11=62
Exploring Operation: 11+35=46, Resulting Numbers: [73, 46]
Generated Node #0,1,2: 72:[73, 46] Operation: 11+35=46
Exploring Operation: 35-11=24, Resulting Numbers: [73, 24]
Generated Node #0,1,3: 72:[73, 24] Operation: 35-11=24
Exploring Operation: 73-35=38, Resulting Numbers: [11, 38]
Generated Node #0,1,4: 72:[11, 38] Operation: 73-35=38
Moving to Node #0,1,3
Current State: 72:[73, 24], Operations: ['40-5=35', '35-11=24']
Exploring Operation: 73*24=1752, Resulting Numbers: [1752]
1752,72 unequal: No Solution
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,1,4
Current State: 72:[11, 38], Operations: ['40-5=35', '73-35=38']
Exploring Operation: 11+38=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 11*38=418, Resulting Numbers: [418]
418,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[35, 62], Operations: ['40-5=35', '73-11=62']
Exploring Operation: 62-35=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 35+62=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Exploring Operation: 35*62=2170, Resulting Numbers: [2170]
2170,72 unequal: No Solution
Moving to Node #0,1,2
Current State: 72:[73, 46], Operations: ['40-5=35', '11+35=46']
Exploring Operation: 73*46=3358, Resulting Numbers: [3358]
3358,72 unequal: No Solution
Exploring Operation: 73-46=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 73+46=119, Resulting Numbers: [119]
119,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[35, 84], Operations: ['40-5=35', '11+73=84']
Exploring Operation: 35+84=119, Resulting Numbers: [119]
119,72 unequal: No Solution
Exploring Operation: 35*84=2940, Resulting Numbers: [2940]
2940,72 unequal: No Solution
Exploring Operation: 84-35=49, Resulting Numbers: [49]
49,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[73, 40, 6], Operations: ['11-5=6']
Exploring Operation: 73+6=79, Resulting Numbers: [40, 79]
Generated Node #0,2,0: 72:[40, 79] Operation: 73+6=79
Exploring Operation: 73-6=67, Resulting Numbers: [40, 67]
Generated Node #0,2,1: 72:[40, 67] Operation: 73-6=67
Exploring Operation: 40+6=46, Resulting Numbers: [73, 46]
Generated Node #0,2,2: 72:[73, 46] Operation: 40+6=46
Exploring Operation: 73-40=33, Resulting Numbers: [6, 33]
Generated Node #0,2,3: 72:[6, 33] Operation: 73-40=33
Exploring Operation: 40-6=34, Resulting Numbers: [73, 34]
Generated Node #0,2,4: 72:[73, 34] Operation: 40-6=34
Moving to Node #0,2,3
Current State: 72:[6, 33], Operations: ['11-5=6', '73-40=33']
Exploring Operation: 6*33=198, Resulting Numbers: [198]
198,72 unequal: No Solution
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Moving to Node #0,2,4
Current State: 72:[73, 34], Operations: ['11-5=6', '40-6=34']
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 73+34=107, Resulting Numbers: [107]
107,72 unequal: No Solution
Exploring Operation: 73*34=2482, Resulting Numbers: [2482]
2482,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[40, 67], Operations: ['11-5=6', '73-6=67']
Exploring Operation: 40*67=2680, Resulting Numbers: [2680]
2680,72 unequal: No Solution
Exploring Operation: 40+67=107, Resulting Numbers: [107]
107,72 unequal: No Solution
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[40, 79], Operations: ['11-5=6', '73+6=79']
Exploring Operation: 40*79=3160, Resulting Numbers: [3160]
3160,72 unequal: No Solution
Exploring Operation: 40+79=119, Resulting Numbers: [119]
119,72 unequal: No Solution
Exploring Operation: 79-40=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[73, 46], Operations: ['11-5=6', '40+6=46']
Exploring Operation: 73+46=119, Resulting Numbers: [119]
119,72 unequal: No Solution
Exploring Operation: 73*46=3358, Resulting Numbers: [3358]
3358,72 unequal: No Solution
Exploring Operation: 73-46=27, Resulting Numbers: [27]
27,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 72:[11, 5, 33], Operations: ['73-40=33']
Exploring Operation: 33-11=22, Resulting Numbers: [5, 22]
Generated Node #0,3,0: 72:[5, 22] Operation: 33-11=22
Exploring Operation: 33/11=3, Resulting Numbers: [5, 3]
Generated Node #0,3,1: 72:[5, 3] Operation: 33/11=3
Exploring Operation: 5+33=38, Resulting Numbers: [11, 38]
Generated Node #0,3,2: 72:[11, 38] Operation: 5+33=38
Exploring Operation: 11+5=16, Resulting Numbers: [33, 16]
Generated Node #0,3,3: 72:[33, 16] Operation: 11+5=16
Exploring Operation: 11-5=6, Resulting Numbers: [33, 6]
Generated Node #0,3,4: 72:[33, 6] Operation: 11-5=6
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 72:[5, 3], Operations: ['73-40=33', '33/11=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 72:[5, 22], Operations: ['73-40=33', '33-11=22']
Exploring Operation: 5*22=110, Resulting Numbers: [110]
110,72 unequal: No Solution
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 72:[11, 38], Operations: ['73-40=33', '5+33=38']
Exploring Operation: 11*38=418, Resulting Numbers: [418]
418,72 unequal: No Solution
Exploring Operation: 11+38=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 72:[33, 6], Operations: ['73-40=33', '11-5=6']
Exploring Operation: 33+6=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 33*6=198, Resulting Numbers: [198]
198,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 72:[33, 16], Operations: ['73-40=33', '11+5=16']
Exploring Operation: 33*16=528, Resulting Numbers: [528]
528,72 unequal: No Solution
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[73, 5, 29], Operations: ['40-11=29']
Exploring Operation: 73+5=78, Resulting Numbers: [29, 78]
Generated Node #0,0,0: 72:[29, 78] Operation: 73+5=78
Exploring Operation: 5+29=34, Resulting Numbers: [73, 34]
Generated Node #0,0,1: 72:[73, 34] Operation: 5+29=34
Exploring Operation: 29-5=24, Resulting Numbers: [73, 24]
Generated Node #0,0,2: 72:[73, 24] Operation: 29-5=24
Exploring Operation: 73-5=68, Resulting Numbers: [29, 68]
Generated Node #0,0,3: 72:[29, 68] Operation: 73-5=68
Exploring Operation: 73-29=44, Resulting Numbers: [5, 44]
Generated Node #0,0,4: 72:[5, 44] Operation: 73-29=44
Moving to Node #0,0,2
Current State: 72:[73, 24], Operations: ['40-11=29', '29-5=24']
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Exploring Operation: 73*24=1752, Resulting Numbers: [1752]
1752,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[73, 34], Operations: ['40-11=29', '5+29=34']
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 73+34=107, Resulting Numbers: [107]
107,72 unequal: No Solution
Exploring Operation: 73*34=2482, Resulting Numbers: [2482]
2482,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[29, 68], Operations: ['40-11=29', '73-5=68']
Exploring Operation: 68-29=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 29*68=1972, Resulting Numbers: [1972]
1972,72 unequal: No Solution
Exploring Operation: 29+68=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Moving to Node #0,0,4
Current State: 72:[5, 44], Operations: ['40-11=29', '73-29=44']
Exploring Operation: 5*44=220, Resulting Numbers: [220]
220,72 unequal: No Solution
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[29, 78], Operations: ['40-11=29', '73+5=78']
Exploring Operation: 29+78=107, Resulting Numbers: [107]
107,72 unequal: No Solution
Exploring Operation: 29*78=2262, Resulting Numbers: [2262]
2262,72 unequal: No Solution
Exploring Operation: 78-29=49, Resulting Numbers: [49]
49,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
27,
86,
39,
89
] | 14 |
[
"89-86=3",
"39/3=13",
"27-13=14"
] |
Current State: 14:[27, 86, 39, 89], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [27, 39, 3]
Generated Node #2: [27, 39, 3] from Operation: 89-86=3
Current State: 14:[27, 39, 3], Operations: ['89-86=3']
Exploring Operation: 39/3=13, Resulting Numbers: [27, 13]
Generated Node #3: [27, 13] from Operation: 39/3=13
Current State: 14:[27, 13], Operations: ['89-86=3', '39/3=13']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
Current State: 14:[27, 86, 39, 89], Operations: []
Exploring Operation: 86-39=47, Resulting Numbers: [27, 89, 47]
Generated Node #0,0: 14:[27, 89, 47] Operation: 86-39=47
Exploring Operation: 89-39=50, Resulting Numbers: [27, 86, 50]
Generated Node #0,1: 14:[27, 86, 50] Operation: 89-39=50
Exploring Operation: 89-86=3, Resulting Numbers: [27, 39, 3]
Generated Node #0,2: 14:[27, 39, 3] Operation: 89-86=3
Moving to Node #0,2
Current State: 14:[27, 39, 3], Operations: ['89-86=3']
Exploring Operation: 27/3=9, Resulting Numbers: [39, 9]
Generated Node #0,2,0: 14:[39, 9] Operation: 27/3=9
Exploring Operation: 39/3=13, Resulting Numbers: [27, 13]
Generated Node #0,2,1: 14:[27, 13] Operation: 39/3=13
Exploring Operation: 39-27=12, Resulting Numbers: [3, 12]
Generated Node #0,2,2: 14:[3, 12] Operation: 39-27=12
Moving to Node #0,0
Current State: 14:[27, 89, 47], Operations: ['86-39=47']
Exploring Operation: 47-27=20, Resulting Numbers: [89, 20]
Generated Node #0,0,0: 14:[89, 20] Operation: 47-27=20
Exploring Operation: 89-27=62, Resulting Numbers: [47, 62]
Generated Node #0,0,1: 14:[47, 62] Operation: 89-27=62
Exploring Operation: 89-47=42, Resulting Numbers: [27, 42]
Generated Node #0,0,2: 14:[27, 42] Operation: 89-47=42
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[27, 42], Operations: ['86-39=47', '89-47=42']
Exploring Operation: 42-27=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 27+42=69, Resulting Numbers: [69]
69,14 unequal: No Solution
Exploring Operation: 27*42=1134, Resulting Numbers: [1134]
1134,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[89, 20], Operations: ['86-39=47', '47-27=20']
Exploring Operation: 89*20=1780, Resulting Numbers: [1780]
1780,14 unequal: No Solution
Exploring Operation: 89+20=109, Resulting Numbers: [109]
109,14 unequal: No Solution
Exploring Operation: 89-20=69, Resulting Numbers: [69]
69,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[47, 62], Operations: ['86-39=47', '89-27=62']
Exploring Operation: 47*62=2914, Resulting Numbers: [2914]
2914,14 unequal: No Solution
Exploring Operation: 62-47=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 47+62=109, Resulting Numbers: [109]
109,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 14:[27, 86, 50], Operations: ['89-39=50']
Exploring Operation: 86-27=59, Resulting Numbers: [50, 59]
Generated Node #0,1,0: 14:[50, 59] Operation: 86-27=59
Exploring Operation: 50-27=23, Resulting Numbers: [86, 23]
Generated Node #0,1,1: 14:[86, 23] Operation: 50-27=23
Exploring Operation: 86-50=36, Resulting Numbers: [27, 36]
Generated Node #0,1,2: 14:[27, 36] Operation: 86-50=36
Moving to Node #0,2,2
Current State: 14:[3, 12], Operations: ['89-86=3', '39-27=12']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,14 unequal: No Solution
Moving to Node #0,2,1
Current State: 14:[27, 13], Operations: ['89-86=3', '39/3=13']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[27, 86, 39, 89], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [27, 39, 3]
Generated Node #0,2: 14:[27, 39, 3] Operation: 89-86=3
Moving to Node #0,2
Current State: 14:[27, 39, 3], Operations: ['89-86=3']
Exploring Operation: 39/3=13, Resulting Numbers: [27, 13]
Generated Node #0,2,1: 14:[27, 13] Operation: 39/3=13
Moving to Node #0,2,1
Current State: 14:[27, 13], Operations: ['89-86=3', '39/3=13']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.974826 |
hs_3
|
sum_heuristic
|
[
3,
49,
6,
69
] | 74 |
[
"6+69=75",
"75/3=25",
"49+25=74"
] |
Current State: 74:[3, 49, 6, 69], Operations: []
Exploring Operation: 6+69=75, Resulting Numbers: [3, 49, 75]
Generated Node #2: [3, 49, 75] from Operation: 6+69=75
Current State: 74:[3, 49, 75], Operations: ['6+69=75']
Exploring Operation: 75/3=25, Resulting Numbers: [49, 25]
Generated Node #3: [49, 25] from Operation: 75/3=25
Current State: 74:[49, 25], Operations: ['6+69=75', '75/3=25']
Exploring Operation: 49+25=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
Current State: 74:[3, 49, 6, 69], Operations: []
Exploring Operation: 49-6=43, Resulting Numbers: [3, 69, 43]
Generated Node #0,0: 74:[3, 69, 43] Operation: 49-6=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[3, 69, 43], Operations: ['49-6=43']
Exploring Operation: 3+69=72, Resulting Numbers: [43, 72]
Generated Node #0,0,0: 74:[43, 72] Operation: 3+69=72
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[43, 72], Operations: ['49-6=43', '3+69=72']
Exploring Operation: 72-43=29, Resulting Numbers: [29]
29,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
47,
85,
71,
74
] | 13 |
[
"47+85=132",
"71+74=145",
"145-132=13"
] |
Current State: 13:[47, 85, 71, 74], Operations: []
Exploring Operation: 47+85=132, Resulting Numbers: [71, 74, 132]
Generated Node #2: [71, 74, 132] from Operation: 47+85=132
Current State: 13:[71, 74, 132], Operations: ['47+85=132']
Exploring Operation: 71+74=145, Resulting Numbers: [132, 145]
Generated Node #3: [132, 145] from Operation: 71+74=145
Current State: 13:[132, 145], Operations: ['47+85=132', '71+74=145']
Exploring Operation: 145-132=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
Current State: 13:[47, 85, 71, 74], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [47, 85, 3]
Generated Node #0,0: 13:[47, 85, 3] Operation: 74-71=3
Exploring Operation: 85-74=11, Resulting Numbers: [47, 71, 11]
Generated Node #0,1: 13:[47, 71, 11] Operation: 85-74=11
Exploring Operation: 85-47=38, Resulting Numbers: [71, 74, 38]
Generated Node #0,2: 13:[71, 74, 38] Operation: 85-47=38
Exploring Operation: 85-71=14, Resulting Numbers: [47, 74, 14]
Generated Node #0,3: 13:[47, 74, 14] Operation: 85-71=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[47, 71, 11], Operations: ['85-74=11']
Exploring Operation: 47+11=58, Resulting Numbers: [71, 58]
Generated Node #0,1,0: 13:[71, 58] Operation: 47+11=58
Exploring Operation: 71-11=60, Resulting Numbers: [47, 60]
Generated Node #0,1,1: 13:[47, 60] Operation: 71-11=60
Exploring Operation: 47-11=36, Resulting Numbers: [71, 36]
Generated Node #0,1,2: 13:[71, 36] Operation: 47-11=36
Exploring Operation: 71-47=24, Resulting Numbers: [11, 24]
Generated Node #0,1,3: 13:[11, 24] Operation: 71-47=24
Moving to Node #0,1,3
Current State: 13:[11, 24], Operations: ['85-74=11', '71-47=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[47, 85, 71, 74], Operations: []
Exploring Operation: 85-74=11, Resulting Numbers: [47, 71, 11]
Generated Node #0,1: 13:[47, 71, 11] Operation: 85-74=11
Moving to Node #0,1
Current State: 13:[47, 71, 11], Operations: ['85-74=11']
Exploring Operation: 71-47=24, Resulting Numbers: [11, 24]
Generated Node #0,1,3: 13:[11, 24] Operation: 71-47=24
Moving to Node #0,1,3
Current State: 13:[11, 24], Operations: ['85-74=11', '71-47=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 |
hs_4
|
mult_heuristic
|
[
11,
4,
8,
54
] | 80 |
[
"11*4=44",
"54-44=10",
"8*10=80"
] |
Current State: 80:[11, 4, 8, 54], Operations: []
Exploring Operation: 11*4=44, Resulting Numbers: [8, 54, 44]
Generated Node #2: [8, 54, 44] from Operation: 11*4=44
Current State: 80:[8, 54, 44], Operations: ['11*4=44']
Exploring Operation: 54-44=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 54-44=10
Current State: 80:[8, 10], Operations: ['11*4=44', '54-44=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
Current State: 80:[11, 4, 8, 54], Operations: []
Exploring Operation: 54-11=43, Resulting Numbers: [4, 8, 43]
Generated Node #0,0: 80:[4, 8, 43] Operation: 54-11=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[4, 8, 43], Operations: ['54-11=43']
Exploring Operation: 43-4=39, Resulting Numbers: [8, 39]
Generated Node #0,0,0: 80:[8, 39] Operation: 43-4=39
Moving to Node #0,0,0
Current State: 80:[8, 39], Operations: ['54-11=43', '43-4=39']
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
32,
91,
87,
35
] | 63 |
[
"91-32=59",
"87+35=122",
"122-59=63"
] |
Current State: 63:[32, 91, 87, 35], Operations: []
Exploring Operation: 91-32=59, Resulting Numbers: [87, 35, 59]
Generated Node #2: [87, 35, 59] from Operation: 91-32=59
Current State: 63:[87, 35, 59], Operations: ['91-32=59']
Exploring Operation: 87+35=122, Resulting Numbers: [59, 122]
Generated Node #3: [59, 122] from Operation: 87+35=122
Current State: 63:[59, 122], Operations: ['91-32=59', '87+35=122']
Exploring Operation: 122-59=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[32, 91, 87, 35], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [32, 35, 4]
Generated Node #0,0: 63:[32, 35, 4] Operation: 91-87=4
Exploring Operation: 91-32=59, Resulting Numbers: [87, 35, 59]
Generated Node #0,1: 63:[87, 35, 59] Operation: 91-32=59
Moving to Node #0,0
Current State: 63:[32, 35, 4], Operations: ['91-87=4']
Exploring Operation: 35-32=3, Resulting Numbers: [4, 3]
Generated Node #0,0,0: 63:[4, 3] Operation: 35-32=3
Exploring Operation: 32+35=67, Resulting Numbers: [4, 67]
Generated Node #0,0,1: 63:[4, 67] Operation: 32+35=67
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[4, 3], Operations: ['91-87=4', '35-32=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[4, 67], Operations: ['91-87=4', '32+35=67']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[32, 91, 87, 35], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [32, 35, 4]
Generated Node #0,0: 63:[32, 35, 4] Operation: 91-87=4
Moving to Node #0,0
Current State: 63:[32, 35, 4], Operations: ['91-87=4']
Exploring Operation: 32+35=67, Resulting Numbers: [4, 67]
Generated Node #0,0,1: 63:[4, 67] Operation: 32+35=67
Moving to Node #0,0,1
Current State: 63:[4, 67], Operations: ['91-87=4', '32+35=67']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_2
|
sum_heuristic
|
[
36,
31,
77,
27
] | 32 |
[
"31+77=108",
"108/27=4",
"36-4=32"
] |
Current State: 32:[36, 31, 77, 27], Operations: []
Exploring Operation: 31+77=108, Resulting Numbers: [36, 27, 108]
Generated Node #2: [36, 27, 108] from Operation: 31+77=108
Current State: 32:[36, 27, 108], Operations: ['31+77=108']
Exploring Operation: 108/27=4, Resulting Numbers: [36, 4]
Generated Node #3: [36, 4] from Operation: 108/27=4
Current State: 32:[36, 4], Operations: ['31+77=108', '108/27=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[36, 31, 77, 27], Operations: []
Exploring Operation: 77-31=46, Resulting Numbers: [36, 27, 46]
Generated Node #0,0: 32:[36, 27, 46] Operation: 77-31=46
Exploring Operation: 77-36=41, Resulting Numbers: [31, 27, 41]
Generated Node #0,1: 32:[31, 27, 41] Operation: 77-36=41
Moving to Node #0,1
Current State: 32:[31, 27, 41], Operations: ['77-36=41']
Exploring Operation: 41-27=14, Resulting Numbers: [31, 14]
Generated Node #0,1,0: 32:[31, 14] Operation: 41-27=14
Exploring Operation: 41-31=10, Resulting Numbers: [27, 10]
Generated Node #0,1,1: 32:[27, 10] Operation: 41-31=10
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 32:[31, 14], Operations: ['77-36=41', '41-27=14']
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,32 unequal: No Solution
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[27, 10], Operations: ['77-36=41', '41-31=10']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,32 unequal: No Solution
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 32:[36, 27, 46], Operations: ['77-31=46']
Exploring Operation: 46-27=19, Resulting Numbers: [36, 19]
Generated Node #0,0,0: 32:[36, 19] Operation: 46-27=19
Exploring Operation: 46-36=10, Resulting Numbers: [27, 10]
Generated Node #0,0,1: 32:[27, 10] Operation: 46-36=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[36, 19], Operations: ['77-31=46', '46-27=19']
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,32 unequal: No Solution
Exploring Operation: 36+19=55, Resulting Numbers: [55]
55,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[27, 10], Operations: ['77-31=46', '46-36=10']
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,32 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
56,
47,
17,
51
] | 100 |
[
"56+47=103",
"51/17=3",
"103-3=100"
] |
Current State: 100:[56, 47, 17, 51], Operations: []
Exploring Operation: 56+47=103, Resulting Numbers: [17, 51, 103]
Generated Node #2: [17, 51, 103] from Operation: 56+47=103
Current State: 100:[17, 51, 103], Operations: ['56+47=103']
Exploring Operation: 51/17=3, Resulting Numbers: [103, 3]
Generated Node #3: [103, 3] from Operation: 51/17=3
Current State: 100:[103, 3], Operations: ['56+47=103', '51/17=3']
Exploring Operation: 103-3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
Current State: 100:[56, 47, 17, 51], Operations: []
Exploring Operation: 56-47=9, Resulting Numbers: [17, 51, 9]
Generated Node #0,0: 100:[17, 51, 9] Operation: 56-47=9
Exploring Operation: 56-51=5, Resulting Numbers: [47, 17, 5]
Generated Node #0,1: 100:[47, 17, 5] Operation: 56-51=5
Exploring Operation: 56+47=103, Resulting Numbers: [17, 51, 103]
Generated Node #0,2: 100:[17, 51, 103] Operation: 56+47=103
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[17, 51, 9], Operations: ['56-47=9']
Exploring Operation: 17+9=26, Resulting Numbers: [51, 26]
Generated Node #0,0,0: 100:[51, 26] Operation: 17+9=26
Exploring Operation: 17-9=8, Resulting Numbers: [51, 8]
Generated Node #0,0,1: 100:[51, 8] Operation: 17-9=8
Exploring Operation: 51/17=3, Resulting Numbers: [9, 3]
Generated Node #0,0,2: 100:[9, 3] Operation: 51/17=3
Moving to Node #0,0,0
Current State: 100:[51, 26], Operations: ['56-47=9', '17+9=26']
Exploring Operation: 51*26=1326, Resulting Numbers: [1326]
1326,100 unequal: No Solution
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 51+26=77, Resulting Numbers: [77]
77,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[9, 3], Operations: ['56-47=9', '51/17=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[51, 8], Operations: ['56-47=9', '17-9=8']
Exploring Operation: 51*8=408, Resulting Numbers: [408]
408,100 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[47, 17, 5], Operations: ['56-51=5']
Exploring Operation: 17+5=22, Resulting Numbers: [47, 22]
Generated Node #0,1,0: 100:[47, 22] Operation: 17+5=22
Exploring Operation: 47-17=30, Resulting Numbers: [5, 30]
Generated Node #0,1,1: 100:[5, 30] Operation: 47-17=30
Exploring Operation: 47+5=52, Resulting Numbers: [17, 52]
Generated Node #0,1,2: 100:[17, 52] Operation: 47+5=52
Moving to Node #0,1,0
Current State: 100:[47, 22], Operations: ['56-51=5', '17+5=22']
Exploring Operation: 47*22=1034, Resulting Numbers: [1034]
1034,100 unequal: No Solution
Exploring Operation: 47+22=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 47-22=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[5, 30], Operations: ['56-51=5', '47-17=30']
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,100 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[17, 52], Operations: ['56-51=5', '47+5=52']
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,100 unequal: No Solution
Exploring Operation: 17*52=884, Resulting Numbers: [884]
884,100 unequal: No Solution
Exploring Operation: 17+52=69, Resulting Numbers: [69]
69,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[17, 51, 103], Operations: ['56+47=103']
Exploring Operation: 51-17=34, Resulting Numbers: [103, 34]
Generated Node #0,2,0: 100:[103, 34] Operation: 51-17=34
Exploring Operation: 103-51=52, Resulting Numbers: [17, 52]
Generated Node #0,2,1: 100:[17, 52] Operation: 103-51=52
Exploring Operation: 51/17=3, Resulting Numbers: [103, 3]
Generated Node #0,2,2: 100:[103, 3] Operation: 51/17=3
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 100:[103, 3], Operations: ['56+47=103', '51/17=3']
Exploring Operation: 103+3=106, Resulting Numbers: [106]
106,100 unequal: No Solution
Exploring Operation: 103*3=309, Resulting Numbers: [309]
309,100 unequal: No Solution
Exploring Operation: 103-3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[56, 47, 17, 51], Operations: []
Exploring Operation: 56+47=103, Resulting Numbers: [17, 51, 103]
Generated Node #0,2: 100:[17, 51, 103] Operation: 56+47=103
Moving to Node #0,2
Current State: 100:[17, 51, 103], Operations: ['56+47=103']
Exploring Operation: 51/17=3, Resulting Numbers: [103, 3]
Generated Node #0,2,2: 100:[103, 3] Operation: 51/17=3
Moving to Node #0,2,2
Current State: 100:[103, 3], Operations: ['56+47=103', '51/17=3']
Exploring Operation: 103-3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 |
hs_3
|
sum_heuristic
|
[
42,
82,
50,
68
] | 79 |
[
"50*68=3400",
"3400-82=3318",
"3318/42=79"
] |
Current State: 79:[42, 82, 50, 68], Operations: []
Exploring Operation: 50*68=3400, Resulting Numbers: [42, 82, 3400]
Generated Node #2: [42, 82, 3400] from Operation: 50*68=3400
Current State: 79:[42, 82, 3400], Operations: ['50*68=3400']
Exploring Operation: 3400-82=3318, Resulting Numbers: [42, 3318]
Generated Node #3: [42, 3318] from Operation: 3400-82=3318
Current State: 79:[42, 3318], Operations: ['50*68=3400', '3400-82=3318']
Exploring Operation: 3318/42=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
Current State: 79:[42, 82, 50, 68], Operations: []
Exploring Operation: 42+68=110, Resulting Numbers: [82, 50, 110]
Generated Node #0,0: 79:[82, 50, 110] Operation: 42+68=110
Exploring Operation: 42+50=92, Resulting Numbers: [82, 68, 92]
Generated Node #0,1: 79:[82, 68, 92] Operation: 42+50=92
Moving to Node #0,1
Current State: 79:[82, 68, 92], Operations: ['42+50=92']
Exploring Operation: 92-68=24, Resulting Numbers: [82, 24]
Generated Node #0,1,0: 79:[82, 24] Operation: 92-68=24
Exploring Operation: 82-68=14, Resulting Numbers: [92, 14]
Generated Node #0,1,1: 79:[92, 14] Operation: 82-68=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[82, 24], Operations: ['42+50=92', '92-68=24']
Exploring Operation: 82+24=106, Resulting Numbers: [106]
106,79 unequal: No Solution
Exploring Operation: 82-24=58, Resulting Numbers: [58]
58,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[92, 14], Operations: ['42+50=92', '82-68=14']
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 92+14=106, Resulting Numbers: [106]
106,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 79:[82, 50, 110], Operations: ['42+68=110']
Exploring Operation: 110-50=60, Resulting Numbers: [82, 60]
Generated Node #0,0,0: 79:[82, 60] Operation: 110-50=60
Exploring Operation: 82-50=32, Resulting Numbers: [110, 32]
Generated Node #0,0,1: 79:[110, 32] Operation: 82-50=32
Moving to Node #0,0,0
Current State: 79:[82, 60], Operations: ['42+68=110', '110-50=60']
Exploring Operation: 82+60=142, Resulting Numbers: [142]
142,79 unequal: No Solution
Exploring Operation: 82-60=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[110, 32], Operations: ['42+68=110', '82-50=32']
Exploring Operation: 110+32=142, Resulting Numbers: [142]
142,79 unequal: No Solution
Exploring Operation: 110-32=78, Resulting Numbers: [78]
78,79 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
15,
2,
23,
82
] | 88 |
[
"15+2=17",
"23+82=105",
"105-17=88"
] |
Current State: 88:[15, 2, 23, 82], Operations: []
Exploring Operation: 15+2=17, Resulting Numbers: [23, 82, 17]
Generated Node #2: [23, 82, 17] from Operation: 15+2=17
Current State: 88:[23, 82, 17], Operations: ['15+2=17']
Exploring Operation: 23+82=105, Resulting Numbers: [17, 105]
Generated Node #3: [17, 105] from Operation: 23+82=105
Current State: 88:[17, 105], Operations: ['15+2=17', '23+82=105']
Exploring Operation: 105-17=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
Current State: 88:[15, 2, 23, 82], Operations: []
Exploring Operation: 82/2=41, Resulting Numbers: [15, 23, 41]
Generated Node #0,0: 88:[15, 23, 41] Operation: 82/2=41
Exploring Operation: 15-2=13, Resulting Numbers: [23, 82, 13]
Generated Node #0,1: 88:[23, 82, 13] Operation: 15-2=13
Exploring Operation: 23-15=8, Resulting Numbers: [2, 82, 8]
Generated Node #0,2: 88:[2, 82, 8] Operation: 23-15=8
Exploring Operation: 2+82=84, Resulting Numbers: [15, 23, 84]
Generated Node #0,3: 88:[15, 23, 84] Operation: 2+82=84
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[2, 82, 8], Operations: ['23-15=8']
Exploring Operation: 82+8=90, Resulting Numbers: [2, 90]
Generated Node #0,2,0: 88:[2, 90] Operation: 82+8=90
Exploring Operation: 82/2=41, Resulting Numbers: [8, 41]
Generated Node #0,2,1: 88:[8, 41] Operation: 82/2=41
Exploring Operation: 8/2=4, Resulting Numbers: [82, 4]
Generated Node #0,2,2: 88:[82, 4] Operation: 8/2=4
Exploring Operation: 2+82=84, Resulting Numbers: [8, 84]
Generated Node #0,2,3: 88:[8, 84] Operation: 2+82=84
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 88:[2, 90], Operations: ['23-15=8', '82+8=90']
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,88 unequal: No Solution
Exploring Operation: 2*90=180, Resulting Numbers: [180]
180,88 unequal: No Solution
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,88 unequal: No Solution
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[15, 2, 23, 82], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [2, 82, 8]
Generated Node #0,2: 88:[2, 82, 8] Operation: 23-15=8
Moving to Node #0,2
Current State: 88:[2, 82, 8], Operations: ['23-15=8']
Exploring Operation: 82+8=90, Resulting Numbers: [2, 90]
Generated Node #0,2,0: 88:[2, 90] Operation: 82+8=90
Moving to Node #0,2,0
Current State: 88:[2, 90], Operations: ['23-15=8', '82+8=90']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 |
hs_4
|
sum_heuristic
|
[
53,
68,
78,
17
] | 46 |
[
"68-53=15",
"78-17=61",
"61-15=46"
] |
Current State: 46:[53, 68, 78, 17], Operations: []
Exploring Operation: 68-53=15, Resulting Numbers: [78, 17, 15]
Generated Node #2: [78, 17, 15] from Operation: 68-53=15
Current State: 46:[78, 17, 15], Operations: ['68-53=15']
Exploring Operation: 78-17=61, Resulting Numbers: [15, 61]
Generated Node #3: [15, 61] from Operation: 78-17=61
Current State: 46:[15, 61], Operations: ['68-53=15', '78-17=61']
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[53, 68, 78, 17], Operations: []
Exploring Operation: 78-68=10, Resulting Numbers: [53, 17, 10]
Generated Node #0,0: 46:[53, 17, 10] Operation: 78-68=10
Exploring Operation: 78-53=25, Resulting Numbers: [68, 17, 25]
Generated Node #0,1: 46:[68, 17, 25] Operation: 78-53=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[53, 17, 10], Operations: ['78-68=10']
Exploring Operation: 53-10=43, Resulting Numbers: [17, 43]
Generated Node #0,0,0: 46:[17, 43] Operation: 53-10=43
Exploring Operation: 17+10=27, Resulting Numbers: [53, 27]
Generated Node #0,0,1: 46:[53, 27] Operation: 17+10=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[17, 43], Operations: ['78-68=10', '53-10=43']
Exploring Operation: 17+43=60, Resulting Numbers: [60]
60,46 unequal: No Solution
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 46:[53, 27], Operations: ['78-68=10', '17+10=27']
Exploring Operation: 53+27=80, Resulting Numbers: [80]
80,46 unequal: No Solution
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[68, 17, 25], Operations: ['78-53=25']
Exploring Operation: 68-17=51, Resulting Numbers: [25, 51]
Generated Node #0,1,0: 46:[25, 51] Operation: 68-17=51
Exploring Operation: 68/17=4, Resulting Numbers: [25, 4]
Generated Node #0,1,1: 46:[25, 4] Operation: 68/17=4
Moving to Node #0,1,1
Current State: 46:[25, 4], Operations: ['78-53=25', '68/17=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[25, 51], Operations: ['78-53=25', '68-17=51']
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Exploring Operation: 25+51=76, Resulting Numbers: [76]
76,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
82,
50,
36,
5
] | 36 |
[
"82-36=46",
"50/5=10",
"46-10=36"
] |
Current State: 36:[82, 50, 36, 5], Operations: []
Exploring Operation: 82-36=46, Resulting Numbers: [50, 5, 46]
Generated Node #2: [50, 5, 46] from Operation: 82-36=46
Current State: 36:[50, 5, 46], Operations: ['82-36=46']
Exploring Operation: 50/5=10, Resulting Numbers: [46, 10]
Generated Node #3: [46, 10] from Operation: 50/5=10
Current State: 36:[46, 10], Operations: ['82-36=46', '50/5=10']
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
Current State: 36:[82, 50, 36, 5], Operations: []
Exploring Operation: 82-36=46, Resulting Numbers: [50, 5, 46]
Generated Node #0,0: 36:[50, 5, 46] Operation: 82-36=46
Exploring Operation: 50/5=10, Resulting Numbers: [82, 36, 10]
Generated Node #0,1: 36:[82, 36, 10] Operation: 50/5=10
Exploring Operation: 82-50=32, Resulting Numbers: [36, 5, 32]
Generated Node #0,2: 36:[36, 5, 32] Operation: 82-50=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[36, 5, 32], Operations: ['82-50=32']
Exploring Operation: 36+5=41, Resulting Numbers: [32, 41]
Generated Node #0,2,0: 36:[32, 41] Operation: 36+5=41
Exploring Operation: 36-32=4, Resulting Numbers: [5, 4]
Generated Node #0,2,1: 36:[5, 4] Operation: 36-32=4
Exploring Operation: 5+32=37, Resulting Numbers: [36, 37]
Generated Node #0,2,2: 36:[36, 37] Operation: 5+32=37
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 36:[5, 4], Operations: ['82-50=32', '36-32=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 36:[36, 37], Operations: ['82-50=32', '5+32=37']
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 36+37=73, Resulting Numbers: [73]
73,36 unequal: No Solution
Exploring Operation: 36*37=1332, Resulting Numbers: [1332]
1332,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 36:[32, 41], Operations: ['82-50=32', '36+5=41']
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 32+41=73, Resulting Numbers: [73]
73,36 unequal: No Solution
Exploring Operation: 32*41=1312, Resulting Numbers: [1312]
1312,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[50, 5, 46], Operations: ['82-36=46']
Exploring Operation: 50-46=4, Resulting Numbers: [5, 4]
Generated Node #0,0,0: 36:[5, 4] Operation: 50-46=4
Exploring Operation: 50/5=10, Resulting Numbers: [46, 10]
Generated Node #0,0,1: 36:[46, 10] Operation: 50/5=10
Exploring Operation: 50-5=45, Resulting Numbers: [46, 45]
Generated Node #0,0,2: 36:[46, 45] Operation: 50-5=45
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[5, 4], Operations: ['82-36=46', '50-46=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 36:[46, 10], Operations: ['82-36=46', '50/5=10']
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[82, 50, 36, 5], Operations: []
Exploring Operation: 82-36=46, Resulting Numbers: [50, 5, 46]
Generated Node #0,0: 36:[50, 5, 46] Operation: 82-36=46
Moving to Node #0,0
Current State: 36:[50, 5, 46], Operations: ['82-36=46']
Exploring Operation: 50/5=10, Resulting Numbers: [46, 10]
Generated Node #0,0,1: 36:[46, 10] Operation: 50/5=10
Moving to Node #0,0,1
Current State: 36:[46, 10], Operations: ['82-36=46', '50/5=10']
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.977431 |
hs_3
|
mult_heuristic
|
[
28,
84,
58,
89
] | 85 |
[
"84/28=3",
"58*3=174",
"174-89=85"
] |
Current State: 85:[28, 84, 58, 89], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [58, 89, 3]
Generated Node #2: [58, 89, 3] from Operation: 84/28=3
Current State: 85:[58, 89, 3], Operations: ['84/28=3']
Exploring Operation: 58*3=174, Resulting Numbers: [89, 174]
Generated Node #3: [89, 174] from Operation: 58*3=174
Current State: 85:[89, 174], Operations: ['84/28=3', '58*3=174']
Exploring Operation: 174-89=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
Current State: 85:[28, 84, 58, 89], Operations: []
Exploring Operation: 84-58=26, Resulting Numbers: [28, 89, 26]
Generated Node #0,0: 85:[28, 89, 26] Operation: 84-58=26
Exploring Operation: 84/28=3, Resulting Numbers: [58, 89, 3]
Generated Node #0,1: 85:[58, 89, 3] Operation: 84/28=3
Exploring Operation: 28+58=86, Resulting Numbers: [84, 89, 86]
Generated Node #0,2: 85:[84, 89, 86] Operation: 28+58=86
Exploring Operation: 89-58=31, Resulting Numbers: [28, 84, 31]
Generated Node #0,3: 85:[28, 84, 31] Operation: 89-58=31
Exploring Operation: 58-28=30, Resulting Numbers: [84, 89, 30]
Generated Node #0,4: 85:[84, 89, 30] Operation: 58-28=30
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[84, 89, 86], Operations: ['28+58=86']
Exploring Operation: 86-84=2, Resulting Numbers: [89, 2]
Generated Node #0,2,0: 85:[89, 2] Operation: 86-84=2
Exploring Operation: 84+89=173, Resulting Numbers: [86, 173]
Generated Node #0,2,1: 85:[86, 173] Operation: 84+89=173
Exploring Operation: 89-84=5, Resulting Numbers: [86, 5]
Generated Node #0,2,2: 85:[86, 5] Operation: 89-84=5
Exploring Operation: 84+86=170, Resulting Numbers: [89, 170]
Generated Node #0,2,3: 85:[89, 170] Operation: 84+86=170
Exploring Operation: 89-86=3, Resulting Numbers: [84, 3]
Generated Node #0,2,4: 85:[84, 3] Operation: 89-86=3
Moving to Node #0,2,2
Current State: 85:[86, 5], Operations: ['28+58=86', '89-84=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Exploring Operation: 86*5=430, Resulting Numbers: [430]
430,85 unequal: No Solution
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Moving to Node #0,2,4
Current State: 85:[84, 3], Operations: ['28+58=86', '89-86=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,85 unequal: No Solution
Exploring Operation: 84*3=252, Resulting Numbers: [252]
252,85 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Moving to Node #0,2,0
Current State: 85:[89, 2], Operations: ['28+58=86', '86-84=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,85 unequal: No Solution
Moving to Node #0,2,1
Current State: 85:[86, 173], Operations: ['28+58=86', '84+89=173']
Exploring Operation: 86*173=14878, Resulting Numbers: [14878]
14878,85 unequal: No Solution
Exploring Operation: 86+173=259, Resulting Numbers: [259]
259,85 unequal: No Solution
Exploring Operation: 173-86=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Moving to Node #0,2,3
Current State: 85:[89, 170], Operations: ['28+58=86', '84+86=170']
Exploring Operation: 89*170=15130, Resulting Numbers: [15130]
15130,85 unequal: No Solution
Exploring Operation: 89+170=259, Resulting Numbers: [259]
259,85 unequal: No Solution
Exploring Operation: 170-89=81, Resulting Numbers: [81]
81,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 85:[84, 89, 30], Operations: ['58-28=30']
Exploring Operation: 84+30=114, Resulting Numbers: [89, 114]
Generated Node #0,4,0: 85:[89, 114] Operation: 84+30=114
Exploring Operation: 84-30=54, Resulting Numbers: [89, 54]
Generated Node #0,4,1: 85:[89, 54] Operation: 84-30=54
Exploring Operation: 89-84=5, Resulting Numbers: [30, 5]
Generated Node #0,4,2: 85:[30, 5] Operation: 89-84=5
Exploring Operation: 89+30=119, Resulting Numbers: [84, 119]
Generated Node #0,4,3: 85:[84, 119] Operation: 89+30=119
Exploring Operation: 89-30=59, Resulting Numbers: [84, 59]
Generated Node #0,4,4: 85:[84, 59] Operation: 89-30=59
Moving to Node #0,4,2
Current State: 85:[30, 5], Operations: ['58-28=30', '89-84=5']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,85 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 30*5=150, Resulting Numbers: [150]
150,85 unequal: No Solution
Moving to Node #0,4,4
Current State: 85:[84, 59], Operations: ['58-28=30', '89-30=59']
Exploring Operation: 84+59=143, Resulting Numbers: [143]
143,85 unequal: No Solution
Exploring Operation: 84*59=4956, Resulting Numbers: [4956]
4956,85 unequal: No Solution
Exploring Operation: 84-59=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Moving to Node #0,4,0
Current State: 85:[89, 114], Operations: ['58-28=30', '84+30=114']
Exploring Operation: 89*114=10146, Resulting Numbers: [10146]
10146,85 unequal: No Solution
Exploring Operation: 89+114=203, Resulting Numbers: [203]
203,85 unequal: No Solution
Exploring Operation: 114-89=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Moving to Node #0,4,1
Current State: 85:[89, 54], Operations: ['58-28=30', '84-30=54']
Exploring Operation: 89*54=4806, Resulting Numbers: [4806]
4806,85 unequal: No Solution
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 89+54=143, Resulting Numbers: [143]
143,85 unequal: No Solution
Moving to Node #0,4,3
Current State: 85:[84, 119], Operations: ['58-28=30', '89+30=119']
Exploring Operation: 119-84=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 84+119=203, Resulting Numbers: [203]
203,85 unequal: No Solution
Exploring Operation: 84*119=9996, Resulting Numbers: [9996]
9996,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[28, 89, 26], Operations: ['84-58=26']
Exploring Operation: 89-26=63, Resulting Numbers: [28, 63]
Generated Node #0,0,0: 85:[28, 63] Operation: 89-26=63
Exploring Operation: 28+89=117, Resulting Numbers: [26, 117]
Generated Node #0,0,1: 85:[26, 117] Operation: 28+89=117
Exploring Operation: 28-26=2, Resulting Numbers: [89, 2]
Generated Node #0,0,2: 85:[89, 2] Operation: 28-26=2
Exploring Operation: 89-28=61, Resulting Numbers: [26, 61]
Generated Node #0,0,3: 85:[26, 61] Operation: 89-28=61
Exploring Operation: 28+26=54, Resulting Numbers: [89, 54]
Generated Node #0,0,4: 85:[89, 54] Operation: 28+26=54
Moving to Node #0,0,2
Current State: 85:[89, 2], Operations: ['84-58=26', '28-26=2']
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,85 unequal: No Solution
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Moving to Node #0,0,3
Current State: 85:[26, 61], Operations: ['84-58=26', '89-28=61']
Exploring Operation: 26*61=1586, Resulting Numbers: [1586]
1586,85 unequal: No Solution
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 26+61=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Moving to Node #0,0,0
Current State: 85:[28, 63], Operations: ['84-58=26', '89-26=63']
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 28+63=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 28*63=1764, Resulting Numbers: [1764]
1764,85 unequal: No Solution
Moving to Node #0,0,4
Current State: 85:[89, 54], Operations: ['84-58=26', '28+26=54']
Exploring Operation: 89+54=143, Resulting Numbers: [143]
143,85 unequal: No Solution
Exploring Operation: 89*54=4806, Resulting Numbers: [4806]
4806,85 unequal: No Solution
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[26, 117], Operations: ['84-58=26', '28+89=117']
Exploring Operation: 26+117=143, Resulting Numbers: [143]
143,85 unequal: No Solution
Exploring Operation: 26*117=3042, Resulting Numbers: [3042]
3042,85 unequal: No Solution
Exploring Operation: 117-26=91, Resulting Numbers: [91]
91,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[28, 84, 31], Operations: ['89-58=31']
Exploring Operation: 28+31=59, Resulting Numbers: [84, 59]
Generated Node #0,3,0: 85:[84, 59] Operation: 28+31=59
Exploring Operation: 28+84=112, Resulting Numbers: [31, 112]
Generated Node #0,3,1: 85:[31, 112] Operation: 28+84=112
Exploring Operation: 31-28=3, Resulting Numbers: [84, 3]
Generated Node #0,3,2: 85:[84, 3] Operation: 31-28=3
Exploring Operation: 84/28=3, Resulting Numbers: [31, 3]
Generated Node #0,3,3: 85:[31, 3] Operation: 84/28=3
Exploring Operation: 84+31=115, Resulting Numbers: [28, 115]
Generated Node #0,3,4: 85:[28, 115] Operation: 84+31=115
Moving to Node #0,3,2
Current State: 85:[84, 3], Operations: ['89-58=31', '31-28=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,85 unequal: No Solution
Exploring Operation: 84*3=252, Resulting Numbers: [252]
252,85 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Moving to Node #0,3,3
Current State: 85:[31, 3], Operations: ['89-58=31', '84/28=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,85 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,85 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,85 unequal: No Solution
Moving to Node #0,3,0
Current State: 85:[84, 59], Operations: ['89-58=31', '28+31=59']
Exploring Operation: 84*59=4956, Resulting Numbers: [4956]
4956,85 unequal: No Solution
Exploring Operation: 84+59=143, Resulting Numbers: [143]
143,85 unequal: No Solution
Exploring Operation: 84-59=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Moving to Node #0,3,1
Current State: 85:[31, 112], Operations: ['89-58=31', '28+84=112']
Exploring Operation: 112-31=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Exploring Operation: 31*112=3472, Resulting Numbers: [3472]
3472,85 unequal: No Solution
Exploring Operation: 31+112=143, Resulting Numbers: [143]
143,85 unequal: No Solution
Moving to Node #0,3,4
Current State: 85:[28, 115], Operations: ['89-58=31', '84+31=115']
Exploring Operation: 28*115=3220, Resulting Numbers: [3220]
3220,85 unequal: No Solution
Exploring Operation: 28+115=143, Resulting Numbers: [143]
143,85 unequal: No Solution
Exploring Operation: 115-28=87, Resulting Numbers: [87]
87,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[58, 89, 3], Operations: ['84/28=3']
Exploring Operation: 89-3=86, Resulting Numbers: [58, 86]
Generated Node #0,1,0: 85:[58, 86] Operation: 89-3=86
Exploring Operation: 58-3=55, Resulting Numbers: [89, 55]
Generated Node #0,1,1: 85:[89, 55] Operation: 58-3=55
Exploring Operation: 58+3=61, Resulting Numbers: [89, 61]
Generated Node #0,1,2: 85:[89, 61] Operation: 58+3=61
Exploring Operation: 89-58=31, Resulting Numbers: [3, 31]
Generated Node #0,1,3: 85:[3, 31] Operation: 89-58=31
Exploring Operation: 89+3=92, Resulting Numbers: [58, 92]
Generated Node #0,1,4: 85:[58, 92] Operation: 89+3=92
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 85:[3, 31], Operations: ['84/28=3', '89-58=31']
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,85 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,85 unequal: No Solution
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[58, 86], Operations: ['84/28=3', '89-3=86']
Exploring Operation: 58*86=4988, Resulting Numbers: [4988]
4988,85 unequal: No Solution
Exploring Operation: 86-58=28, Resulting Numbers: [28]
28,85 unequal: No Solution
Exploring Operation: 58+86=144, Resulting Numbers: [144]
144,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 85:[89, 61], Operations: ['84/28=3', '58+3=61']
Exploring Operation: 89+61=150, Resulting Numbers: [150]
150,85 unequal: No Solution
Exploring Operation: 89*61=5429, Resulting Numbers: [5429]
5429,85 unequal: No Solution
Exploring Operation: 89-61=28, Resulting Numbers: [28]
28,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 85:[89, 55], Operations: ['84/28=3', '58-3=55']
Exploring Operation: 89*55=4895, Resulting Numbers: [4895]
4895,85 unequal: No Solution
Exploring Operation: 89+55=144, Resulting Numbers: [144]
144,85 unequal: No Solution
Exploring Operation: 89-55=34, Resulting Numbers: [34]
34,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 85:[58, 92], Operations: ['84/28=3', '89+3=92']
Exploring Operation: 92-58=34, Resulting Numbers: [34]
34,85 unequal: No Solution
Exploring Operation: 58+92=150, Resulting Numbers: [150]
150,85 unequal: No Solution
Exploring Operation: 58*92=5336, Resulting Numbers: [5336]
5336,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
2,
67,
31,
19
] | 34 |
[
"67-31=36",
"36-19=17",
"2*17=34"
] |
Current State: 34:[2, 67, 31, 19], Operations: []
Exploring Operation: 67-31=36, Resulting Numbers: [2, 19, 36]
Generated Node #2: [2, 19, 36] from Operation: 67-31=36
Current State: 34:[2, 19, 36], Operations: ['67-31=36']
Exploring Operation: 36-19=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 36-19=17
Current State: 34:[2, 17], Operations: ['67-31=36', '36-19=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
Current State: 34:[2, 67, 31, 19], Operations: []
Exploring Operation: 67-31=36, Resulting Numbers: [2, 19, 36]
Generated Node #0,0: 34:[2, 19, 36] Operation: 67-31=36
Exploring Operation: 67-2=65, Resulting Numbers: [31, 19, 65]
Generated Node #0,1: 34:[31, 19, 65] Operation: 67-2=65
Exploring Operation: 67-19=48, Resulting Numbers: [2, 31, 48]
Generated Node #0,2: 34:[2, 31, 48] Operation: 67-19=48
Moving to Node #0,0
Current State: 34:[2, 19, 36], Operations: ['67-31=36']
Exploring Operation: 19-2=17, Resulting Numbers: [36, 17]
Generated Node #0,0,0: 34:[36, 17] Operation: 19-2=17
Exploring Operation: 36-19=17, Resulting Numbers: [2, 17]
Generated Node #0,0,1: 34:[2, 17] Operation: 36-19=17
Exploring Operation: 36-2=34, Resulting Numbers: [19, 34]
Generated Node #0,0,2: 34:[19, 34] Operation: 36-2=34
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 34:[2, 17], Operations: ['67-31=36', '36-19=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[2, 67, 31, 19], Operations: []
Exploring Operation: 67-31=36, Resulting Numbers: [2, 19, 36]
Generated Node #0,0: 34:[2, 19, 36] Operation: 67-31=36
Moving to Node #0,0
Current State: 34:[2, 19, 36], Operations: ['67-31=36']
Exploring Operation: 36-19=17, Resulting Numbers: [2, 17]
Generated Node #0,0,1: 34:[2, 17] Operation: 36-19=17
Moving to Node #0,0,1
Current State: 34:[2, 17], Operations: ['67-31=36', '36-19=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 |
hs_3
|
sum_heuristic
|
[
16,
20,
34,
31
] | 76 |
[
"16*34=544",
"20*31=620",
"620-544=76"
] |
Current State: 76:[16, 20, 34, 31], Operations: []
Exploring Operation: 16*34=544, Resulting Numbers: [20, 31, 544]
Generated Node #2: [20, 31, 544] from Operation: 16*34=544
Current State: 76:[20, 31, 544], Operations: ['16*34=544']
Exploring Operation: 20*31=620, Resulting Numbers: [544, 620]
Generated Node #3: [544, 620] from Operation: 20*31=620
Current State: 76:[544, 620], Operations: ['16*34=544', '20*31=620']
Exploring Operation: 620-544=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
Current State: 76:[16, 20, 34, 31], Operations: []
Exploring Operation: 31-16=15, Resulting Numbers: [20, 34, 15]
Generated Node #0,0: 76:[20, 34, 15] Operation: 31-16=15
Exploring Operation: 34-16=18, Resulting Numbers: [20, 31, 18]
Generated Node #0,1: 76:[20, 31, 18] Operation: 34-16=18
Exploring Operation: 20-16=4, Resulting Numbers: [34, 31, 4]
Generated Node #0,2: 76:[34, 31, 4] Operation: 20-16=4
Exploring Operation: 34-31=3, Resulting Numbers: [16, 20, 3]
Generated Node #0,3: 76:[16, 20, 3] Operation: 34-31=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[16, 20, 3], Operations: ['34-31=3']
Exploring Operation: 16+20=36, Resulting Numbers: [3, 36]
Generated Node #0,3,0: 76:[3, 36] Operation: 16+20=36
Exploring Operation: 16+3=19, Resulting Numbers: [20, 19]
Generated Node #0,3,1: 76:[20, 19] Operation: 16+3=19
Exploring Operation: 20-16=4, Resulting Numbers: [3, 4]
Generated Node #0,3,2: 76:[3, 4] Operation: 20-16=4
Exploring Operation: 20-3=17, Resulting Numbers: [16, 17]
Generated Node #0,3,3: 76:[16, 17] Operation: 20-3=17
Moving to Node #0,3,1
Current State: 76:[20, 19], Operations: ['34-31=3', '16+3=19']
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,76 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[3, 4], Operations: ['34-31=3', '20-16=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,3,0
Current State: 76:[3, 36], Operations: ['34-31=3', '16+20=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,76 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[16, 17], Operations: ['34-31=3', '20-3=17']
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 16*17=272, Resulting Numbers: [272]
272,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[20, 34, 15], Operations: ['31-16=15']
Exploring Operation: 34-20=14, Resulting Numbers: [15, 14]
Generated Node #0,0,0: 76:[15, 14] Operation: 34-20=14
Exploring Operation: 34-15=19, Resulting Numbers: [20, 19]
Generated Node #0,0,1: 76:[20, 19] Operation: 34-15=19
Exploring Operation: 20+15=35, Resulting Numbers: [34, 35]
Generated Node #0,0,2: 76:[34, 35] Operation: 20+15=35
Exploring Operation: 20-15=5, Resulting Numbers: [34, 5]
Generated Node #0,0,3: 76:[34, 5] Operation: 20-15=5
Moving to Node #0,0,1
Current State: 76:[20, 19], Operations: ['31-16=15', '34-15=19']
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,76 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[34, 5], Operations: ['31-16=15', '20-15=5']
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,76 unequal: No Solution
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[34, 35], Operations: ['31-16=15', '20+15=35']
Exploring Operation: 34*35=1190, Resulting Numbers: [1190]
1190,76 unequal: No Solution
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,76 unequal: No Solution
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[15, 14], Operations: ['31-16=15', '34-20=14']
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,76 unequal: No Solution
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[20, 31, 18], Operations: ['34-16=18']
Exploring Operation: 31-18=13, Resulting Numbers: [20, 13]
Generated Node #0,1,0: 76:[20, 13] Operation: 31-18=13
Exploring Operation: 31-20=11, Resulting Numbers: [18, 11]
Generated Node #0,1,1: 76:[18, 11] Operation: 31-20=11
Exploring Operation: 20-18=2, Resulting Numbers: [31, 2]
Generated Node #0,1,2: 76:[31, 2] Operation: 20-18=2
Exploring Operation: 20+18=38, Resulting Numbers: [31, 38]
Generated Node #0,1,3: 76:[31, 38] Operation: 20+18=38
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[20, 13], Operations: ['34-16=18', '31-18=13']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 76:[31, 2], Operations: ['34-16=18', '20-18=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 76:[31, 38], Operations: ['34-16=18', '20+18=38']
Exploring Operation: 31*38=1178, Resulting Numbers: [1178]
1178,76 unequal: No Solution
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 31+38=69, Resulting Numbers: [69]
69,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[18, 11], Operations: ['34-16=18', '31-20=11']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,76 unequal: No Solution
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[34, 31, 4], Operations: ['20-16=4']
Exploring Operation: 31+4=35, Resulting Numbers: [34, 35]
Generated Node #0,2,0: 76:[34, 35] Operation: 31+4=35
Exploring Operation: 34-31=3, Resulting Numbers: [4, 3]
Generated Node #0,2,1: 76:[4, 3] Operation: 34-31=3
Exploring Operation: 34+4=38, Resulting Numbers: [31, 38]
Generated Node #0,2,2: 76:[31, 38] Operation: 34+4=38
Exploring Operation: 34+31=65, Resulting Numbers: [4, 65]
Generated Node #0,2,3: 76:[4, 65] Operation: 34+31=65
Moving to Node #0,2,1
Current State: 76:[4, 3], Operations: ['20-16=4', '34-31=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[31, 38], Operations: ['20-16=4', '34+4=38']
Exploring Operation: 31+38=69, Resulting Numbers: [69]
69,76 unequal: No Solution
Exploring Operation: 31*38=1178, Resulting Numbers: [1178]
1178,76 unequal: No Solution
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,2,0
Current State: 76:[34, 35], Operations: ['20-16=4', '31+4=35']
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,76 unequal: No Solution
Exploring Operation: 34*35=1190, Resulting Numbers: [1190]
1190,76 unequal: No Solution
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Moving to Node #0,2,3
Current State: 76:[4, 65], Operations: ['20-16=4', '34+31=65']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,76 unequal: No Solution
Exploring Operation: 4*65=260, Resulting Numbers: [260]
260,76 unequal: No Solution
Exploring Operation: 4+65=69, Resulting Numbers: [69]
69,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
68,
22,
75,
15
] | 41 |
[
"68-22=46",
"75/15=5",
"46-5=41"
] |
Current State: 41:[68, 22, 75, 15], Operations: []
Exploring Operation: 68-22=46, Resulting Numbers: [75, 15, 46]
Generated Node #2: [75, 15, 46] from Operation: 68-22=46
Current State: 41:[75, 15, 46], Operations: ['68-22=46']
Exploring Operation: 75/15=5, Resulting Numbers: [46, 5]
Generated Node #3: [46, 5] from Operation: 75/15=5
Current State: 41:[46, 5], Operations: ['68-22=46', '75/15=5']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[68, 22, 75, 15], Operations: []
Exploring Operation: 68-22=46, Resulting Numbers: [75, 15, 46]
Generated Node #0,0: 41:[75, 15, 46] Operation: 68-22=46
Exploring Operation: 68-15=53, Resulting Numbers: [22, 75, 53]
Generated Node #0,1: 41:[22, 75, 53] Operation: 68-15=53
Exploring Operation: 75-22=53, Resulting Numbers: [68, 15, 53]
Generated Node #0,2: 41:[68, 15, 53] Operation: 75-22=53
Exploring Operation: 75-15=60, Resulting Numbers: [68, 22, 60]
Generated Node #0,3: 41:[68, 22, 60] Operation: 75-15=60
Exploring Operation: 22+15=37, Resulting Numbers: [68, 75, 37]
Generated Node #0,4: 41:[68, 75, 37] Operation: 22+15=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[75, 15, 46], Operations: ['68-22=46']
Exploring Operation: 75-15=60, Resulting Numbers: [46, 60]
Generated Node #0,0,0: 41:[46, 60] Operation: 75-15=60
Exploring Operation: 75+15=90, Resulting Numbers: [46, 90]
Generated Node #0,0,1: 41:[46, 90] Operation: 75+15=90
Exploring Operation: 75/15=5, Resulting Numbers: [46, 5]
Generated Node #0,0,2: 41:[46, 5] Operation: 75/15=5
Exploring Operation: 46-15=31, Resulting Numbers: [75, 31]
Generated Node #0,0,3: 41:[75, 31] Operation: 46-15=31
Exploring Operation: 75-46=29, Resulting Numbers: [15, 29]
Generated Node #0,0,4: 41:[15, 29] Operation: 75-46=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[46, 60], Operations: ['68-22=46', '75-15=60']
Exploring Operation: 46*60=2760, Resulting Numbers: [2760]
2760,41 unequal: No Solution
Exploring Operation: 46+60=106, Resulting Numbers: [106]
106,41 unequal: No Solution
Exploring Operation: 60-46=14, Resulting Numbers: [14]
14,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 41:[15, 29], Operations: ['68-22=46', '75-46=29']
Exploring Operation: 15+29=44, Resulting Numbers: [44]
44,41 unequal: No Solution
Exploring Operation: 15*29=435, Resulting Numbers: [435]
435,41 unequal: No Solution
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 41:[46, 5], Operations: ['68-22=46', '75/15=5']
Exploring Operation: 46*5=230, Resulting Numbers: [230]
230,41 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[68, 22, 75, 15], Operations: []
Exploring Operation: 68-22=46, Resulting Numbers: [75, 15, 46]
Generated Node #0,0: 41:[75, 15, 46] Operation: 68-22=46
Moving to Node #0,0
Current State: 41:[75, 15, 46], Operations: ['68-22=46']
Exploring Operation: 75/15=5, Resulting Numbers: [46, 5]
Generated Node #0,0,2: 41:[46, 5] Operation: 75/15=5
Moving to Node #0,0,2
Current State: 41:[46, 5], Operations: ['68-22=46', '75/15=5']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980903 |
hs_5
|
mult_heuristic
|
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