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 |
|---|---|---|---|---|---|---|---|---|
[
43,
82,
11,
63
] | 91 | [
"82-43=39",
"63-11=52",
"39+52=91"
] | Current State: 91:[43, 82, 11, 63], Operations: []
Exploring Operation: 82-43=39, Resulting Numbers: [11, 63, 39]
Generated Node #2: [11, 63, 39] from Operation: 82-43=39
Current State: 91:[11, 63, 39], Operations: ['82-43=39']
Exploring Operation: 63-11=52, Resulting Numbers: [39, 52]
Generated Node #3: [39, 52] from Operation: 63-11=52
Current State: 91:[39, 52], Operations: ['82-43=39', '63-11=52']
Exploring Operation: 39+52=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[43, 82, 11, 63], Operations: []
Exploring Operation: 82-43=39, Resulting Numbers: [11, 63, 39]
Generated Node #0,0: 91:[11, 63, 39] Operation: 82-43=39
Exploring Operation: 63-43=20, Resulting Numbers: [82, 11, 20]
Generated Node #0,1: 91:[82, 11, 20] Operation: 63-43=20
Exploring Operation: 43+63=106, Resulting Numbers: [82, 11, 106]
Generated Node #0,2: 91:[82, 11, 106] Operation: 43+63=106
Exploring Operation: 82-63=19, Resulting Numbers: [43, 11, 19]
Generated Node #0,3: 91:[43, 11, 19] Operation: 82-63=19
Moving to Node #0,1
Current State: 91:[82, 11, 20], Operations: ['63-43=20']
Exploring Operation: 82+11=93, Resulting Numbers: [20, 93]
Generated Node #0,1,0: 91:[20, 93] Operation: 82+11=93
Exploring Operation: 20-11=9, Resulting Numbers: [82, 9]
Generated Node #0,1,1: 91:[82, 9] Operation: 20-11=9
Exploring Operation: 82+20=102, Resulting Numbers: [11, 102]
Generated Node #0,1,2: 91:[11, 102] Operation: 82+20=102
Exploring Operation: 82-11=71, Resulting Numbers: [20, 71]
Generated Node #0,1,3: 91:[20, 71] Operation: 82-11=71
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[20, 93], Operations: ['63-43=20', '82+11=93']
Exploring Operation: 20*93=1860, Resulting Numbers: [1860]
1860,91 unequal: No Solution
Exploring Operation: 93-20=73, Resulting Numbers: [73]
73,91 unequal: No Solution
Exploring Operation: 20+93=113, Resulting Numbers: [113]
113,91 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 #0,1,1
Current State: 91:[82, 9], Operations: ['63-43=20', '20-11=9']
Exploring Operation: 82+9=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[43, 82, 11, 63], Operations: []
Exploring Operation: 63-43=20, Resulting Numbers: [82, 11, 20]
Generated Node #0,1: 91:[82, 11, 20] Operation: 63-43=20
Moving to Node #0,1
Current State: 91:[82, 11, 20], Operations: ['63-43=20']
Exploring Operation: 20-11=9, Resulting Numbers: [82, 9]
Generated Node #0,1,1: 91:[82, 9] Operation: 20-11=9
Moving to Node #0,1,1
Current State: 91:[82, 9], Operations: ['63-43=20', '20-11=9']
Exploring Operation: 82+9=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
10,
54,
3,
19
] | 95 | [
"54-19=35",
"3*35=105",
"105-10=95"
] | Current State: 95:[10, 54, 3, 19], Operations: []
Exploring Operation: 54-19=35, Resulting Numbers: [10, 3, 35]
Generated Node #2: [10, 3, 35] from Operation: 54-19=35
Current State: 95:[10, 3, 35], Operations: ['54-19=35']
Exploring Operation: 3*35=105, Resulting Numbers: [10, 105]
Generated Node #3: [10, 105] from Operation: 3*35=105
Current State: 95:[10, 105], Operations: ['54-19=35', '3*35=105']
Exploring Operation: 105-10=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[10, 54, 3, 19], Operations: []
Exploring Operation: 54-19=35, Resulting Numbers: [10, 3, 35]
Generated Node #0,0: 95:[10, 3, 35] Operation: 54-19=35
Exploring Operation: 54-10=44, Resulting Numbers: [3, 19, 44]
Generated Node #0,1: 95:[3, 19, 44] Operation: 54-10=44
Exploring Operation: 54+19=73, Resulting Numbers: [10, 3, 73]
Generated Node #0,2: 95:[10, 3, 73] Operation: 54+19=73
Exploring Operation: 54/3=18, Resulting Numbers: [10, 19, 18]
Generated Node #0,3: 95:[10, 19, 18] Operation: 54/3=18
Moving to Node #0,3
Current State: 95:[10, 19, 18], Operations: ['54/3=18']
Exploring Operation: 18-10=8, Resulting Numbers: [19, 8]
Generated Node #0,3,0: 95:[19, 8] Operation: 18-10=8
Exploring Operation: 10+18=28, Resulting Numbers: [19, 28]
Generated Node #0,3,1: 95:[19, 28] Operation: 10+18=28
Exploring Operation: 19-10=9, Resulting Numbers: [18, 9]
Generated Node #0,3,2: 95:[18, 9] Operation: 19-10=9
Exploring Operation: 19-18=1, Resulting Numbers: [10, 1]
Generated Node #0,3,3: 95:[10, 1] Operation: 19-18=1
Moving to Node #0,0
Current State: 95:[10, 3, 35], Operations: ['54-19=35']
Exploring Operation: 10-3=7, Resulting Numbers: [35, 7]
Generated Node #0,0,0: 95:[35, 7] Operation: 10-3=7
Exploring Operation: 3*35=105, Resulting Numbers: [10, 105]
Generated Node #0,0,1: 95:[10, 105] Operation: 3*35=105
Exploring Operation: 35-10=25, Resulting Numbers: [3, 25]
Generated Node #0,0,2: 95:[3, 25] Operation: 35-10=25
Exploring Operation: 35-3=32, Resulting Numbers: [10, 32]
Generated Node #0,0,3: 95:[10, 32] Operation: 35-3=32
Moving to Node #0,1
Current State: 95:[3, 19, 44], Operations: ['54-10=44']
Exploring Operation: 44-19=25, Resulting Numbers: [3, 25]
Generated Node #0,1,0: 95:[3, 25] Operation: 44-19=25
Exploring Operation: 44-3=41, Resulting Numbers: [19, 41]
Generated Node #0,1,1: 95:[19, 41] Operation: 44-3=41
Exploring Operation: 3+19=22, Resulting Numbers: [44, 22]
Generated Node #0,1,2: 95:[44, 22] Operation: 3+19=22
Exploring Operation: 19-3=16, Resulting Numbers: [44, 16]
Generated Node #0,1,3: 95:[44, 16] Operation: 19-3=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[3, 25], Operations: ['54-10=44', '44-19=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,95 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,95 unequal: No Solution
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,95 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 #0,1,1
Current State: 95:[19, 41], Operations: ['54-10=44', '44-3=41']
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,95 unequal: No Solution
Exploring Operation: 19+41=60, Resulting Numbers: [60]
60,95 unequal: No Solution
Exploring Operation: 19*41=779, Resulting Numbers: [779]
779,95 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:[44, 22], Operations: ['54-10=44', '3+19=22']
Exploring Operation: 44*22=968, Resulting Numbers: [968]
968,95 unequal: No Solution
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,95 unequal: No Solution
Exploring Operation: 44+22=66, Resulting Numbers: [66]
66,95 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 #0,1,3
Current State: 95:[44, 16], Operations: ['54-10=44', '19-3=16']
Exploring Operation: 44*16=704, Resulting Numbers: [704]
704,95 unequal: No Solution
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 44+16=60, Resulting Numbers: [60]
60,95 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:[10, 3, 73], Operations: ['54+19=73']
Exploring Operation: 3+73=76, Resulting Numbers: [10, 76]
Generated Node #0,2,0: 95:[10, 76] Operation: 3+73=76
Exploring Operation: 10-3=7, Resulting Numbers: [73, 7]
Generated Node #0,2,1: 95:[73, 7] Operation: 10-3=7
Exploring Operation: 10+73=83, Resulting Numbers: [3, 83]
Generated Node #0,2,2: 95:[3, 83] Operation: 10+73=83
Exploring Operation: 10+3=13, Resulting Numbers: [73, 13]
Generated Node #0,2,3: 95:[73, 13] Operation: 10+3=13
Moving to Node #0,3,0
Current State: 95:[19, 8], Operations: ['54/3=18', '18-10=8']
Exploring Operation: 19+8=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Exploring Operation: 19*8=152, Resulting Numbers: [152]
152,95 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Moving to Node #0,3,2
Current State: 95:[18, 9], Operations: ['54/3=18', '19-10=9']
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 18*9=162, Resulting Numbers: [162]
162,95 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[3, 25], Operations: ['54-19=35', '35-10=25']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,95 unequal: No Solution
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,95 unequal: No Solution
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Moving to Node #0,3,1
Current State: 95:[19, 28], Operations: ['54/3=18', '10+18=28']
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,95 unequal: No Solution
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,95 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Moving to Node #0,3,3
Current State: 95:[10, 1], Operations: ['54/3=18', '19-18=1']
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[3, 83], Operations: ['54+19=73', '10+73=83']
Exploring Operation: 3*83=249, Resulting Numbers: [249]
249,95 unequal: No Solution
Exploring Operation: 3+83=86, Resulting Numbers: [86]
86,95 unequal: No Solution
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[10, 105], Operations: ['54-19=35', '3*35=105']
Exploring Operation: 10+105=115, Resulting Numbers: [115]
115,95 unequal: No Solution
Exploring Operation: 10*105=1050, Resulting Numbers: [1050]
1050,95 unequal: No Solution
Exploring Operation: 105-10=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[10, 54, 3, 19], Operations: []
Exploring Operation: 54-19=35, Resulting Numbers: [10, 3, 35]
Generated Node #0,0: 95:[10, 3, 35] Operation: 54-19=35
Moving to Node #0,0
Current State: 95:[10, 3, 35], Operations: ['54-19=35']
Exploring Operation: 3*35=105, Resulting Numbers: [10, 105]
Generated Node #0,0,1: 95:[10, 105] Operation: 3*35=105
Moving to Node #0,0,1
Current State: 95:[10, 105], Operations: ['54-19=35', '3*35=105']
Exploring Operation: 105-10=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.947917 | hs_4 | sum_heuristic |
[
19,
55,
13,
80
] | 22 | [
"19+13=32",
"55*32=1760",
"1760/80=22"
] | Current State: 22:[19, 55, 13, 80], Operations: []
Exploring Operation: 19+13=32, Resulting Numbers: [55, 80, 32]
Generated Node #2: [55, 80, 32] from Operation: 19+13=32
Current State: 22:[55, 80, 32], Operations: ['19+13=32']
Exploring Operation: 55*32=1760, Resulting Numbers: [80, 1760]
Generated Node #3: [80, 1760] from Operation: 55*32=1760
Current State: 22:[80, 1760], Operations: ['19+13=32', '55*32=1760']
Exploring Operation: 1760/80=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[19, 55, 13, 80], Operations: []
Exploring Operation: 80-13=67, Resulting Numbers: [19, 55, 67]
Generated Node #0,0: 22:[19, 55, 67] Operation: 80-13=67
Exploring Operation: 55-13=42, Resulting Numbers: [19, 80, 42]
Generated Node #0,1: 22:[19, 80, 42] Operation: 55-13=42
Exploring Operation: 80-55=25, Resulting Numbers: [19, 13, 25]
Generated Node #0,2: 22:[19, 13, 25] Operation: 80-55=25
Exploring Operation: 80-19=61, Resulting Numbers: [55, 13, 61]
Generated Node #0,3: 22:[55, 13, 61] Operation: 80-19=61
Exploring Operation: 55-19=36, Resulting Numbers: [13, 80, 36]
Generated Node #0,4: 22:[13, 80, 36] Operation: 55-19=36
Moving to Node #0,2
Current State: 22:[19, 13, 25], Operations: ['80-55=25']
Exploring Operation: 19+13=32, Resulting Numbers: [25, 32]
Generated Node #0,2,0: 22:[25, 32] Operation: 19+13=32
Exploring Operation: 25-19=6, Resulting Numbers: [13, 6]
Generated Node #0,2,1: 22:[13, 6] Operation: 25-19=6
Exploring Operation: 19-13=6, Resulting Numbers: [25, 6]
Generated Node #0,2,2: 22:[25, 6] Operation: 19-13=6
Exploring Operation: 25-13=12, Resulting Numbers: [19, 12]
Generated Node #0,2,3: 22:[19, 12] Operation: 25-13=12
Exploring Operation: 13+25=38, Resulting Numbers: [19, 38]
Generated Node #0,2,4: 22:[19, 38] Operation: 13+25=38
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 22:[19, 12], Operations: ['80-55=25', '25-13=12']
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 19*12=228, Resulting Numbers: [228]
228,22 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: 22:[13, 6], Operations: ['80-55=25', '25-19=6']
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,22 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,22 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: 22:[25, 6], Operations: ['80-55=25', '19-13=6']
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,22 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,22 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: 22:[25, 32], Operations: ['80-55=25', '19+13=32']
Exploring Operation: 25*32=800, Resulting Numbers: [800]
800,22 unequal: No Solution
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 25+32=57, Resulting Numbers: [57]
57,22 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: 22:[19, 38], Operations: ['80-55=25', '13+25=38']
Exploring Operation: 19*38=722, Resulting Numbers: [722]
722,22 unequal: No Solution
Exploring Operation: 19+38=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,22 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: 22:[13, 80, 36], Operations: ['55-19=36']
Exploring Operation: 80-13=67, Resulting Numbers: [36, 67]
Generated Node #0,4,0: 22:[36, 67] Operation: 80-13=67
Exploring Operation: 13+36=49, Resulting Numbers: [80, 49]
Generated Node #0,4,1: 22:[80, 49] Operation: 13+36=49
Exploring Operation: 36-13=23, Resulting Numbers: [80, 23]
Generated Node #0,4,2: 22:[80, 23] Operation: 36-13=23
Exploring Operation: 80-36=44, Resulting Numbers: [13, 44]
Generated Node #0,4,3: 22:[13, 44] Operation: 80-36=44
Exploring Operation: 13+80=93, Resulting Numbers: [36, 93]
Generated Node #0,4,4: 22:[36, 93] Operation: 13+80=93
Moving to Node #0,3
Current State: 22:[55, 13, 61], Operations: ['80-19=61']
Exploring Operation: 55+13=68, Resulting Numbers: [61, 68]
Generated Node #0,3,0: 22:[61, 68] Operation: 55+13=68
Exploring Operation: 55-13=42, Resulting Numbers: [61, 42]
Generated Node #0,3,1: 22:[61, 42] Operation: 55-13=42
Exploring Operation: 61-13=48, Resulting Numbers: [55, 48]
Generated Node #0,3,2: 22:[55, 48] Operation: 61-13=48
Exploring Operation: 61-55=6, Resulting Numbers: [13, 6]
Generated Node #0,3,3: 22:[13, 6] Operation: 61-55=6
Exploring Operation: 13+61=74, Resulting Numbers: [55, 74]
Generated Node #0,3,4: 22:[55, 74] Operation: 13+61=74
Moving to Node #0,0
Current State: 22:[19, 55, 67], Operations: ['80-13=67']
Exploring Operation: 67-55=12, Resulting Numbers: [19, 12]
Generated Node #0,0,0: 22:[19, 12] Operation: 67-55=12
Exploring Operation: 19+67=86, Resulting Numbers: [55, 86]
Generated Node #0,0,1: 22:[55, 86] Operation: 19+67=86
Exploring Operation: 55-19=36, Resulting Numbers: [67, 36]
Generated Node #0,0,2: 22:[67, 36] Operation: 55-19=36
Exploring Operation: 19+55=74, Resulting Numbers: [67, 74]
Generated Node #0,0,3: 22:[67, 74] Operation: 19+55=74
Exploring Operation: 67-19=48, Resulting Numbers: [55, 48]
Generated Node #0,0,4: 22:[55, 48] Operation: 67-19=48
Moving to Node #0,1
Current State: 22:[19, 80, 42], Operations: ['55-13=42']
Exploring Operation: 80-42=38, Resulting Numbers: [19, 38]
Generated Node #0,1,0: 22:[19, 38] Operation: 80-42=38
Exploring Operation: 19+42=61, Resulting Numbers: [80, 61]
Generated Node #0,1,1: 22:[80, 61] Operation: 19+42=61
Exploring Operation: 80-19=61, Resulting Numbers: [42, 61]
Generated Node #0,1,2: 22:[42, 61] Operation: 80-19=61
Exploring Operation: 19+80=99, Resulting Numbers: [42, 99]
Generated Node #0,1,3: 22:[42, 99] Operation: 19+80=99
Exploring Operation: 42-19=23, Resulting Numbers: [80, 23]
Generated Node #0,1,4: 22:[80, 23] Operation: 42-19=23
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 22:[19, 38], Operations: ['55-13=42', '80-42=38']
Exploring Operation: 19+38=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 19*38=722, Resulting Numbers: [722]
722,22 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,22 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: 22:[42, 61], Operations: ['55-13=42', '80-19=61']
Exploring Operation: 42+61=103, Resulting Numbers: [103]
103,22 unequal: No Solution
Exploring Operation: 61-42=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 42*61=2562, Resulting Numbers: [2562]
2562,22 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: 22:[80, 23], Operations: ['55-13=42', '42-19=23']
Exploring Operation: 80+23=103, Resulting Numbers: [103]
103,22 unequal: No Solution
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 80*23=1840, Resulting Numbers: [1840]
1840,22 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: 22:[80, 61], Operations: ['55-13=42', '19+42=61']
Exploring Operation: 80+61=141, Resulting Numbers: [141]
141,22 unequal: No Solution
Exploring Operation: 80-61=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 80*61=4880, Resulting Numbers: [4880]
4880,22 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: 22:[42, 99], Operations: ['55-13=42', '19+80=99']
Exploring Operation: 42+99=141, Resulting Numbers: [141]
141,22 unequal: No Solution
Exploring Operation: 42*99=4158, Resulting Numbers: [4158]
4158,22 unequal: No Solution
Exploring Operation: 99-42=57, Resulting Numbers: [57]
57,22 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: 22:[19, 12], Operations: ['80-13=67', '67-55=12']
Exploring Operation: 19*12=228, Resulting Numbers: [228]
228,22 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Moving to Node #0,3,3
Current State: 22:[13, 6], Operations: ['80-19=61', '61-55=6']
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,22 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Moving to Node #0,4,3
Current State: 22:[13, 44], Operations: ['55-19=36', '80-36=44']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 13*44=572, Resulting Numbers: [572]
572,22 unequal: No Solution
Exploring Operation: 13+44=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Moving to Node #0,3,1
Current State: 22:[61, 42], Operations: ['80-19=61', '55-13=42']
Exploring Operation: 61+42=103, Resulting Numbers: [103]
103,22 unequal: No Solution
Exploring Operation: 61*42=2562, Resulting Numbers: [2562]
2562,22 unequal: No Solution
Exploring Operation: 61-42=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Moving to Node #0,4,2
Current State: 22:[80, 23], Operations: ['55-19=36', '36-13=23']
Exploring Operation: 80*23=1840, Resulting Numbers: [1840]
1840,22 unequal: No Solution
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 80+23=103, Resulting Numbers: [103]
103,22 unequal: No Solution
Moving to Node #0,0,2
Current State: 22:[67, 36], Operations: ['80-13=67', '55-19=36']
Exploring Operation: 67+36=103, Resulting Numbers: [103]
103,22 unequal: No Solution
Exploring Operation: 67*36=2412, Resulting Numbers: [2412]
2412,22 unequal: No Solution
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Moving to Node #0,0,4
Current State: 22:[55, 48], Operations: ['80-13=67', '67-19=48']
Exploring Operation: 55*48=2640, Resulting Numbers: [2640]
2640,22 unequal: No Solution
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 55+48=103, Resulting Numbers: [103]
103,22 unequal: No Solution
Moving to Node #0,4,0
Current State: 22:[36, 67], Operations: ['55-19=36', '80-13=67']
Exploring Operation: 36+67=103, Resulting Numbers: [103]
103,22 unequal: No Solution
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 36*67=2412, Resulting Numbers: [2412]
2412,22 unequal: No Solution
Moving to Node #0,3,2
Current State: 22:[55, 48], Operations: ['80-19=61', '61-13=48']
Exploring Operation: 55+48=103, Resulting Numbers: [103]
103,22 unequal: No Solution
Exploring Operation: 55*48=2640, Resulting Numbers: [2640]
2640,22 unequal: No Solution
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Moving to Node #0,3,4
Current State: 22:[55, 74], Operations: ['80-19=61', '13+61=74']
Exploring Operation: 55+74=129, Resulting Numbers: [129]
129,22 unequal: No Solution
Exploring Operation: 55*74=4070, Resulting Numbers: [4070]
4070,22 unequal: No Solution
Exploring Operation: 74-55=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Moving to Node #0,4,4
Current State: 22:[36, 93], Operations: ['55-19=36', '13+80=93']
Exploring Operation: 36+93=129, Resulting Numbers: [129]
129,22 unequal: No Solution
Exploring Operation: 36*93=3348, Resulting Numbers: [3348]
3348,22 unequal: No Solution
Exploring Operation: 93-36=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Moving to Node #0,3,0
Current State: 22:[61, 68], Operations: ['80-19=61', '55+13=68']
Exploring Operation: 61+68=129, Resulting Numbers: [129]
129,22 unequal: No Solution
Exploring Operation: 61*68=4148, Resulting Numbers: [4148]
4148,22 unequal: No Solution
Exploring Operation: 68-61=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Moving to Node #0,4,1
Current State: 22:[80, 49], Operations: ['55-19=36', '13+36=49']
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 80*49=3920, Resulting Numbers: [3920]
3920,22 unequal: No Solution
Exploring Operation: 80+49=129, Resulting Numbers: [129]
129,22 unequal: No Solution
Moving to Node #0,0,1
Current State: 22:[55, 86], Operations: ['80-13=67', '19+67=86']
Exploring Operation: 55*86=4730, Resulting Numbers: [4730]
4730,22 unequal: No Solution
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 55+86=141, Resulting Numbers: [141]
141,22 unequal: No Solution
Moving to Node #0,0,3
Current State: 22:[67, 74], Operations: ['80-13=67', '19+55=74']
Exploring Operation: 67*74=4958, Resulting Numbers: [4958]
4958,22 unequal: No Solution
Exploring Operation: 67+74=141, Resulting Numbers: [141]
141,22 unequal: No Solution
Exploring Operation: 74-67=7, Resulting Numbers: [7]
7,22 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
27,
56,
69,
65
] | 41 | [
"69-65=4",
"56/4=14",
"27+14=41"
] | Current State: 41:[27, 56, 69, 65], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [27, 56, 4]
Generated Node #2: [27, 56, 4] from Operation: 69-65=4
Current State: 41:[27, 56, 4], Operations: ['69-65=4']
Exploring Operation: 56/4=14, Resulting Numbers: [27, 14]
Generated Node #3: [27, 14] from Operation: 56/4=14
Current State: 41:[27, 14], Operations: ['69-65=4', '56/4=14']
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[27, 56, 69, 65], Operations: []
Exploring Operation: 69-56=13, Resulting Numbers: [27, 65, 13]
Generated Node #0,0: 41:[27, 65, 13] Operation: 69-56=13
Exploring Operation: 69-27=42, Resulting Numbers: [56, 65, 42]
Generated Node #0,1: 41:[56, 65, 42] Operation: 69-27=42
Exploring Operation: 56-27=29, Resulting Numbers: [69, 65, 29]
Generated Node #0,2: 41:[69, 65, 29] Operation: 56-27=29
Exploring Operation: 65-27=38, Resulting Numbers: [56, 69, 38]
Generated Node #0,3: 41:[56, 69, 38] Operation: 65-27=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[56, 65, 42], Operations: ['69-27=42']
Exploring Operation: 65-56=9, Resulting Numbers: [42, 9]
Generated Node #0,1,0: 41:[42, 9] Operation: 65-56=9
Exploring Operation: 65-42=23, Resulting Numbers: [56, 23]
Generated Node #0,1,1: 41:[56, 23] Operation: 65-42=23
Exploring Operation: 56-42=14, Resulting Numbers: [65, 14]
Generated Node #0,1,2: 41:[65, 14] Operation: 56-42=14
Exploring Operation: 56+65=121, Resulting Numbers: [42, 121]
Generated Node #0,1,3: 41:[42, 121] Operation: 56+65=121
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 41:[42, 9], Operations: ['69-27=42', '65-56=9']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,41 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,41 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 #0,1,1
Current State: 41:[56, 23], Operations: ['69-27=42', '65-42=23']
Exploring Operation: 56*23=1288, Resulting Numbers: [1288]
1288,41 unequal: No Solution
Exploring Operation: 56+23=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Exploring Operation: 56-23=33, Resulting Numbers: [33]
33,41 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 #0,1,2
Current State: 41:[65, 14], Operations: ['69-27=42', '56-42=14']
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,41 unequal: No Solution
Exploring Operation: 65+14=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Exploring Operation: 65*14=910, Resulting Numbers: [910]
910,41 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 #0,1,3
Current State: 41:[42, 121], Operations: ['69-27=42', '56+65=121']
Exploring Operation: 121-42=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Exploring Operation: 42*121=5082, Resulting Numbers: [5082]
5082,41 unequal: No Solution
Exploring Operation: 42+121=163, Resulting Numbers: [163]
163,41 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: 41:[56, 69, 38], Operations: ['65-27=38']
Exploring Operation: 69-38=31, Resulting Numbers: [56, 31]
Generated Node #0,3,0: 41:[56, 31] Operation: 69-38=31
Exploring Operation: 56-38=18, Resulting Numbers: [69, 18]
Generated Node #0,3,1: 41:[69, 18] Operation: 56-38=18
Exploring Operation: 69-56=13, Resulting Numbers: [38, 13]
Generated Node #0,3,2: 41:[38, 13] Operation: 69-56=13
Exploring Operation: 56+38=94, Resulting Numbers: [69, 94]
Generated Node #0,3,3: 41:[69, 94] Operation: 56+38=94
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 41:[56, 31], Operations: ['65-27=38', '69-38=31']
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 56+31=87, Resulting Numbers: [87]
87,41 unequal: No Solution
Exploring Operation: 56*31=1736, Resulting Numbers: [1736]
1736,41 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 #0,3,2
Current State: 41:[38, 13], Operations: ['65-27=38', '69-56=13']
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,41 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,41 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 #0,3,1
Current State: 41:[69, 18], Operations: ['65-27=38', '56-38=18']
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,41 unequal: No Solution
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,41 unequal: No Solution
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,41 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 #0,3,3
Current State: 41:[69, 94], Operations: ['65-27=38', '56+38=94']
Exploring Operation: 94-69=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 69+94=163, Resulting Numbers: [163]
163,41 unequal: No Solution
Exploring Operation: 69*94=6486, Resulting Numbers: [6486]
6486,41 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: 41:[69, 65, 29], Operations: ['56-27=29']
Exploring Operation: 69+29=98, Resulting Numbers: [65, 98]
Generated Node #0,2,0: 41:[65, 98] Operation: 69+29=98
Exploring Operation: 69-29=40, Resulting Numbers: [65, 40]
Generated Node #0,2,1: 41:[65, 40] Operation: 69-29=40
Exploring Operation: 65-29=36, Resulting Numbers: [69, 36]
Generated Node #0,2,2: 41:[69, 36] Operation: 65-29=36
Exploring Operation: 69-65=4, Resulting Numbers: [29, 4]
Generated Node #0,2,3: 41:[29, 4] Operation: 69-65=4
Moving to Node #0,2,1
Current State: 41:[65, 40], Operations: ['56-27=29', '69-29=40']
Exploring Operation: 65*40=2600, Resulting Numbers: [2600]
2600,41 unequal: No Solution
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 65+40=105, Resulting Numbers: [105]
105,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[69, 36], Operations: ['56-27=29', '65-29=36']
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 69+36=105, Resulting Numbers: [105]
105,41 unequal: No Solution
Exploring Operation: 69*36=2484, Resulting Numbers: [2484]
2484,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[29, 4], Operations: ['56-27=29', '69-65=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[65, 98], Operations: ['56-27=29', '69+29=98']
Exploring Operation: 98-65=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 65*98=6370, Resulting Numbers: [6370]
6370,41 unequal: No Solution
Exploring Operation: 65+98=163, Resulting Numbers: [163]
163,41 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: 41:[27, 65, 13], Operations: ['69-56=13']
Exploring Operation: 65/13=5, Resulting Numbers: [27, 5]
Generated Node #0,0,0: 41:[27, 5] Operation: 65/13=5
Exploring Operation: 27+13=40, Resulting Numbers: [65, 40]
Generated Node #0,0,1: 41:[65, 40] Operation: 27+13=40
Exploring Operation: 65-13=52, Resulting Numbers: [27, 52]
Generated Node #0,0,2: 41:[27, 52] Operation: 65-13=52
Exploring Operation: 65-27=38, Resulting Numbers: [13, 38]
Generated Node #0,0,3: 41:[13, 38] Operation: 65-27=38
Moving to Node #0,0,1
Current State: 41:[65, 40], Operations: ['69-56=13', '27+13=40']
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 65+40=105, Resulting Numbers: [105]
105,41 unequal: No Solution
Exploring Operation: 65*40=2600, Resulting Numbers: [2600]
2600,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[27, 52], Operations: ['69-56=13', '65-13=52']
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 27+52=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Exploring Operation: 27*52=1404, Resulting Numbers: [1404]
1404,41 unequal: No Solution
Moving to Node #0,0,3
Current State: 41:[13, 38], Operations: ['69-56=13', '65-27=38']
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,41 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[27, 5], Operations: ['69-56=13', '65/13=5']
Exploring Operation: 27*5=135, Resulting Numbers: [135]
135,41 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,41 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 |
[
96,
68,
77,
64
] | 76 | [
"96-77=19",
"68-64=4",
"19*4=76"
] | Current State: 76:[96, 68, 77, 64], Operations: []
Exploring Operation: 96-77=19, Resulting Numbers: [68, 64, 19]
Generated Node #2: [68, 64, 19] from Operation: 96-77=19
Current State: 76:[68, 64, 19], Operations: ['96-77=19']
Exploring Operation: 68-64=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 68-64=4
Current State: 76:[19, 4], Operations: ['96-77=19', '68-64=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[96, 68, 77, 64], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [96, 77, 4]
Generated Node #0,0: 76:[96, 77, 4] Operation: 68-64=4
Exploring Operation: 96-64=32, Resulting Numbers: [68, 77, 32]
Generated Node #0,1: 76:[68, 77, 32] Operation: 96-64=32
Exploring Operation: 96-77=19, Resulting Numbers: [68, 64, 19]
Generated Node #0,2: 76:[68, 64, 19] Operation: 96-77=19
Exploring Operation: 96-68=28, Resulting Numbers: [77, 64, 28]
Generated Node #0,3: 76:[77, 64, 28] Operation: 96-68=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[68, 77, 32], Operations: ['96-64=32']
Exploring Operation: 77-32=45, Resulting Numbers: [68, 45]
Generated Node #0,1,0: 76:[68, 45] Operation: 77-32=45
Exploring Operation: 68-32=36, Resulting Numbers: [77, 36]
Generated Node #0,1,1: 76:[77, 36] Operation: 68-32=36
Exploring Operation: 68+32=100, Resulting Numbers: [77, 100]
Generated Node #0,1,2: 76:[77, 100] Operation: 68+32=100
Exploring Operation: 77-68=9, Resulting Numbers: [32, 9]
Generated Node #0,1,3: 76:[32, 9] Operation: 77-68=9
Moving to Node #0,1,1
Current State: 76:[77, 36], Operations: ['96-64=32', '68-32=36']
Exploring Operation: 77*36=2772, Resulting Numbers: [2772]
2772,76 unequal: No Solution
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Exploring Operation: 77+36=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[32, 9], Operations: ['96-64=32', '77-68=9']
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 32*9=288, Resulting Numbers: [288]
288,76 unequal: No Solution
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[68, 45], Operations: ['96-64=32', '77-32=45']
Exploring Operation: 68*45=3060, Resulting Numbers: [3060]
3060,76 unequal: No Solution
Exploring Operation: 68+45=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[77, 100], Operations: ['96-64=32', '68+32=100']
Exploring Operation: 77*100=7700, Resulting Numbers: [7700]
7700,76 unequal: No Solution
Exploring Operation: 77+100=177, Resulting Numbers: [177]
177,76 unequal: No Solution
Exploring Operation: 100-77=23, Resulting Numbers: [23]
23,76 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 #0,2
Current State: 76:[68, 64, 19], Operations: ['96-77=19']
Exploring Operation: 64+19=83, Resulting Numbers: [68, 83]
Generated Node #0,2,0: 76:[68, 83] Operation: 64+19=83
Exploring Operation: 64-19=45, Resulting Numbers: [68, 45]
Generated Node #0,2,1: 76:[68, 45] Operation: 64-19=45
Exploring Operation: 68+19=87, Resulting Numbers: [64, 87]
Generated Node #0,2,2: 76:[64, 87] Operation: 68+19=87
Exploring Operation: 68-64=4, Resulting Numbers: [19, 4]
Generated Node #0,2,3: 76:[19, 4] Operation: 68-64=4
Moving to Node #0,2,3
Current State: 76:[19, 4], Operations: ['96-77=19', '68-64=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[96, 68, 77, 64], Operations: []
Exploring Operation: 96-77=19, Resulting Numbers: [68, 64, 19]
Generated Node #0,2: 76:[68, 64, 19] Operation: 96-77=19
Moving to Node #0,2
Current State: 76:[68, 64, 19], Operations: ['96-77=19']
Exploring Operation: 68-64=4, Resulting Numbers: [19, 4]
Generated Node #0,2,3: 76:[19, 4] Operation: 68-64=4
Moving to Node #0,2,3
Current State: 76:[19, 4], Operations: ['96-77=19', '68-64=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | mult_heuristic |
[
57,
19,
50,
92
] | 34 | [
"57+19=76",
"92-50=42",
"76-42=34"
] | Current State: 34:[57, 19, 50, 92], Operations: []
Exploring Operation: 57+19=76, Resulting Numbers: [50, 92, 76]
Generated Node #2: [50, 92, 76] from Operation: 57+19=76
Current State: 34:[50, 92, 76], Operations: ['57+19=76']
Exploring Operation: 92-50=42, Resulting Numbers: [76, 42]
Generated Node #3: [76, 42] from Operation: 92-50=42
Current State: 34:[76, 42], Operations: ['57+19=76', '92-50=42']
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[57, 19, 50, 92], Operations: []
Exploring Operation: 92-57=35, Resulting Numbers: [19, 50, 35]
Generated Node #0,0: 34:[19, 50, 35] Operation: 92-57=35
Moving to Node #0,0
Current State: 34:[19, 50, 35], Operations: ['92-57=35']
Exploring Operation: 50-19=31, Resulting Numbers: [35, 31]
Generated Node #0,0,0: 34:[35, 31] Operation: 50-19=31
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[35, 31], Operations: ['92-57=35', '50-19=31']
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,34 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 |
[
97,
90,
13,
14
] | 91 | [
"97-90=7",
"14-7=7",
"13*7=91"
] | Current State: 91:[97, 90, 13, 14], Operations: []
Exploring Operation: 97-90=7, Resulting Numbers: [13, 14, 7]
Generated Node #2: [13, 14, 7] from Operation: 97-90=7
Current State: 91:[13, 14, 7], Operations: ['97-90=7']
Exploring Operation: 14-7=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 14-7=7
Current State: 91:[13, 7], Operations: ['97-90=7', '14-7=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[97, 90, 13, 14], Operations: []
Exploring Operation: 97-13=84, Resulting Numbers: [90, 14, 84]
Generated Node #0,0: 91:[90, 14, 84] Operation: 97-13=84
Exploring Operation: 97-14=83, Resulting Numbers: [90, 13, 83]
Generated Node #0,1: 91:[90, 13, 83] Operation: 97-14=83
Exploring Operation: 97-90=7, Resulting Numbers: [13, 14, 7]
Generated Node #0,2: 91:[13, 14, 7] Operation: 97-90=7
Moving to Node #0,2
Current State: 91:[13, 14, 7], Operations: ['97-90=7']
Exploring Operation: 13-7=6, Resulting Numbers: [14, 6]
Generated Node #0,2,0: 91:[14, 6] Operation: 13-7=6
Exploring Operation: 14-7=7, Resulting Numbers: [13, 7]
Generated Node #0,2,1: 91:[13, 7] Operation: 14-7=7
Exploring Operation: 13*7=91, Resulting Numbers: [14, 91]
Generated Node #0,2,2: 91:[14, 91] Operation: 13*7=91
Moving to Node #0,0
Current State: 91:[90, 14, 84], Operations: ['97-13=84']
Exploring Operation: 14+84=98, Resulting Numbers: [90, 98]
Generated Node #0,0,0: 91:[90, 98] Operation: 14+84=98
Exploring Operation: 90-84=6, Resulting Numbers: [14, 6]
Generated Node #0,0,1: 91:[14, 6] Operation: 90-84=6
Exploring Operation: 84/14=6, Resulting Numbers: [90, 6]
Generated Node #0,0,2: 91:[90, 6] Operation: 84/14=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[14, 6], Operations: ['97-13=84', '90-84=6']
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,91 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 #0,0,2
Current State: 91:[90, 6], Operations: ['97-13=84', '84/14=6']
Exploring Operation: 90+6=96, Resulting Numbers: [96]
96,91 unequal: No Solution
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,91 unequal: No Solution
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,91 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 #0,0,0
Current State: 91:[90, 98], Operations: ['97-13=84', '14+84=98']
Exploring Operation: 90*98=8820, Resulting Numbers: [8820]
8820,91 unequal: No Solution
Exploring Operation: 90+98=188, Resulting Numbers: [188]
188,91 unequal: No Solution
Exploring Operation: 98-90=8, Resulting Numbers: [8]
8,91 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: 91:[90, 13, 83], Operations: ['97-14=83']
Exploring Operation: 13+83=96, Resulting Numbers: [90, 96]
Generated Node #0,1,0: 91:[90, 96] Operation: 13+83=96
Exploring Operation: 90+13=103, Resulting Numbers: [83, 103]
Generated Node #0,1,1: 91:[83, 103] Operation: 90+13=103
Exploring Operation: 90-83=7, Resulting Numbers: [13, 7]
Generated Node #0,1,2: 91:[13, 7] Operation: 90-83=7
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[13, 7], Operations: ['97-14=83', '90-83=7']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[97, 90, 13, 14], Operations: []
Exploring Operation: 97-14=83, Resulting Numbers: [90, 13, 83]
Generated Node #0,1: 91:[90, 13, 83] Operation: 97-14=83
Moving to Node #0,1
Current State: 91:[90, 13, 83], Operations: ['97-14=83']
Exploring Operation: 90-83=7, Resulting Numbers: [13, 7]
Generated Node #0,1,2: 91:[13, 7] Operation: 90-83=7
Moving to Node #0,1,2
Current State: 91:[13, 7], Operations: ['97-14=83', '90-83=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
23,
88,
38,
56
] | 93 | [
"23+88=111",
"56-38=18",
"111-18=93"
] | Current State: 93:[23, 88, 38, 56], Operations: []
Exploring Operation: 23+88=111, Resulting Numbers: [38, 56, 111]
Generated Node #2: [38, 56, 111] from Operation: 23+88=111
Current State: 93:[38, 56, 111], Operations: ['23+88=111']
Exploring Operation: 56-38=18, Resulting Numbers: [111, 18]
Generated Node #3: [111, 18] from Operation: 56-38=18
Current State: 93:[111, 18], Operations: ['23+88=111', '56-38=18']
Exploring Operation: 111-18=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[23, 88, 38, 56], Operations: []
Exploring Operation: 56-23=33, Resulting Numbers: [88, 38, 33]
Generated Node #0,0: 93:[88, 38, 33] Operation: 56-23=33
Exploring Operation: 88-56=32, Resulting Numbers: [23, 38, 32]
Generated Node #0,1: 93:[23, 38, 32] Operation: 88-56=32
Exploring Operation: 38+56=94, Resulting Numbers: [23, 88, 94]
Generated Node #0,2: 93:[23, 88, 94] Operation: 38+56=94
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[88, 38, 33], Operations: ['56-23=33']
Exploring Operation: 38-33=5, Resulting Numbers: [88, 5]
Generated Node #0,0,0: 93:[88, 5] Operation: 38-33=5
Exploring Operation: 88-38=50, Resulting Numbers: [33, 50]
Generated Node #0,0,1: 93:[33, 50] Operation: 88-38=50
Exploring Operation: 38+33=71, Resulting Numbers: [88, 71]
Generated Node #0,0,2: 93:[88, 71] Operation: 38+33=71
Moving to Node #0,0,0
Current State: 93:[88, 5], Operations: ['56-23=33', '38-33=5']
Exploring Operation: 88*5=440, Resulting Numbers: [440]
440,93 unequal: No Solution
Exploring Operation: 88+5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[23, 88, 38, 56], Operations: []
Exploring Operation: 56-23=33, Resulting Numbers: [88, 38, 33]
Generated Node #0,0: 93:[88, 38, 33] Operation: 56-23=33
Moving to Node #0,0
Current State: 93:[88, 38, 33], Operations: ['56-23=33']
Exploring Operation: 38-33=5, Resulting Numbers: [88, 5]
Generated Node #0,0,0: 93:[88, 5] Operation: 38-33=5
Moving to Node #0,0,0
Current State: 93:[88, 5], Operations: ['56-23=33', '38-33=5']
Exploring Operation: 88+5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
43,
36,
57,
21
] | 60 | [
"43-36=7",
"21/7=3",
"57+3=60"
] | Current State: 60:[43, 36, 57, 21], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [57, 21, 7]
Generated Node #2: [57, 21, 7] from Operation: 43-36=7
Current State: 60:[57, 21, 7], Operations: ['43-36=7']
Exploring Operation: 21/7=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 21/7=3
Current State: 60:[57, 3], Operations: ['43-36=7', '21/7=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[43, 36, 57, 21], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [57, 21, 7]
Generated Node #0,0: 60:[57, 21, 7] Operation: 43-36=7
Exploring Operation: 57-43=14, Resulting Numbers: [36, 21, 14]
Generated Node #0,1: 60:[36, 21, 14] Operation: 57-43=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[57, 21, 7], Operations: ['43-36=7']
Exploring Operation: 21/7=3, Resulting Numbers: [57, 3]
Generated Node #0,0,0: 60:[57, 3] Operation: 21/7=3
Exploring Operation: 21-7=14, Resulting Numbers: [57, 14]
Generated Node #0,0,1: 60:[57, 14] Operation: 21-7=14
Moving to Node #0,0,0
Current State: 60:[57, 3], Operations: ['43-36=7', '21/7=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,60 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[43, 36, 57, 21], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [57, 21, 7]
Generated Node #0,0: 60:[57, 21, 7] Operation: 43-36=7
Moving to Node #0,0
Current State: 60:[57, 21, 7], Operations: ['43-36=7']
Exploring Operation: 21/7=3, Resulting Numbers: [57, 3]
Generated Node #0,0,0: 60:[57, 3] Operation: 21/7=3
Moving to Node #0,0,0
Current State: 60:[57, 3], Operations: ['43-36=7', '21/7=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
6,
39,
6,
64
] | 61 | [
"6*6=36",
"64-39=25",
"36+25=61"
] | Current State: 61:[6, 39, 6, 64], Operations: []
Exploring Operation: 6*6=36, Resulting Numbers: [39, 64, 36]
Generated Node #2: [39, 64, 36] from Operation: 6*6=36
Current State: 61:[39, 64, 36], Operations: ['6*6=36']
Exploring Operation: 64-39=25, Resulting Numbers: [36, 25]
Generated Node #3: [36, 25] from Operation: 64-39=25
Current State: 61:[36, 25], Operations: ['6*6=36', '64-39=25']
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[6, 39, 6, 64], Operations: []
Exploring Operation: 6+6=12, Resulting Numbers: [39, 64, 12]
Generated Node #0,0: 61:[39, 64, 12] Operation: 6+6=12
Exploring Operation: 6*6=36, Resulting Numbers: [39, 64, 36]
Generated Node #0,1: 61:[39, 64, 36] Operation: 6*6=36
Exploring Operation: 6+39=45, Resulting Numbers: [6, 64, 45]
Generated Node #0,2: 61:[6, 64, 45] Operation: 6+39=45
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[39, 64, 36], Operations: ['6*6=36']
Exploring Operation: 64-39=25, Resulting Numbers: [36, 25]
Generated Node #0,1,0: 61:[36, 25] Operation: 64-39=25
Exploring Operation: 64-36=28, Resulting Numbers: [39, 28]
Generated Node #0,1,1: 61:[39, 28] Operation: 64-36=28
Exploring Operation: 39+36=75, Resulting Numbers: [64, 75]
Generated Node #0,1,2: 61:[64, 75] Operation: 39+36=75
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 61:[64, 75], Operations: ['6*6=36', '39+36=75']
Exploring Operation: 64*75=4800, Resulting Numbers: [4800]
4800,61 unequal: No Solution
Exploring Operation: 64+75=139, Resulting Numbers: [139]
139,61 unequal: No Solution
Exploring Operation: 75-64=11, Resulting Numbers: [11]
11,61 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: 61:[39, 28], Operations: ['6*6=36', '64-36=28']
Exploring Operation: 39+28=67, Resulting Numbers: [67]
67,61 unequal: No Solution
Exploring Operation: 39*28=1092, Resulting Numbers: [1092]
1092,61 unequal: No Solution
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,61 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: 61:[36, 25], Operations: ['6*6=36', '64-39=25']
Exploring Operation: 36*25=900, Resulting Numbers: [900]
900,61 unequal: No Solution
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[6, 39, 6, 64], Operations: []
Exploring Operation: 6*6=36, Resulting Numbers: [39, 64, 36]
Generated Node #0,1: 61:[39, 64, 36] Operation: 6*6=36
Moving to Node #0,1
Current State: 61:[39, 64, 36], Operations: ['6*6=36']
Exploring Operation: 64-39=25, Resulting Numbers: [36, 25]
Generated Node #0,1,0: 61:[36, 25] Operation: 64-39=25
Moving to Node #0,1,0
Current State: 61:[36, 25], Operations: ['6*6=36', '64-39=25']
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
75,
63,
98,
5
] | 82 | [
"98-63=35",
"35/5=7",
"75+7=82"
] | Current State: 82:[75, 63, 98, 5], Operations: []
Exploring Operation: 98-63=35, Resulting Numbers: [75, 5, 35]
Generated Node #2: [75, 5, 35] from Operation: 98-63=35
Current State: 82:[75, 5, 35], Operations: ['98-63=35']
Exploring Operation: 35/5=7, Resulting Numbers: [75, 7]
Generated Node #3: [75, 7] from Operation: 35/5=7
Current State: 82:[75, 7], Operations: ['98-63=35', '35/5=7']
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[75, 63, 98, 5], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [98, 5, 12]
Generated Node #0,0: 82:[98, 5, 12] Operation: 75-63=12
Exploring Operation: 75+5=80, Resulting Numbers: [63, 98, 80]
Generated Node #0,1: 82:[63, 98, 80] Operation: 75+5=80
Exploring Operation: 98-63=35, Resulting Numbers: [75, 5, 35]
Generated Node #0,2: 82:[75, 5, 35] Operation: 98-63=35
Exploring Operation: 98-5=93, Resulting Numbers: [75, 63, 93]
Generated Node #0,3: 82:[75, 63, 93] Operation: 98-5=93
Exploring Operation: 63+5=68, Resulting Numbers: [75, 98, 68]
Generated Node #0,4: 82:[75, 98, 68] Operation: 63+5=68
Moving to Node #0,2
Current State: 82:[75, 5, 35], Operations: ['98-63=35']
Exploring Operation: 75-35=40, Resulting Numbers: [5, 40]
Generated Node #0,2,0: 82:[5, 40] Operation: 75-35=40
Exploring Operation: 75+5=80, Resulting Numbers: [35, 80]
Generated Node #0,2,1: 82:[35, 80] Operation: 75+5=80
Exploring Operation: 5+35=40, Resulting Numbers: [75, 40]
Generated Node #0,2,2: 82:[75, 40] Operation: 5+35=40
Exploring Operation: 35/5=7, Resulting Numbers: [75, 7]
Generated Node #0,2,3: 82:[75, 7] Operation: 35/5=7
Exploring Operation: 75-5=70, Resulting Numbers: [35, 70]
Generated Node #0,2,4: 82:[35, 70] Operation: 75-5=70
Moving to Node #0,0
Current State: 82:[98, 5, 12], Operations: ['75-63=12']
Exploring Operation: 98-5=93, Resulting Numbers: [12, 93]
Generated Node #0,0,0: 82:[12, 93] Operation: 98-5=93
Exploring Operation: 12-5=7, Resulting Numbers: [98, 7]
Generated Node #0,0,1: 82:[98, 7] Operation: 12-5=7
Exploring Operation: 98+5=103, Resulting Numbers: [12, 103]
Generated Node #0,0,2: 82:[12, 103] Operation: 98+5=103
Exploring Operation: 98-12=86, Resulting Numbers: [5, 86]
Generated Node #0,0,3: 82:[5, 86] Operation: 98-12=86
Exploring Operation: 98+12=110, Resulting Numbers: [5, 110]
Generated Node #0,0,4: 82:[5, 110] Operation: 98+12=110
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 82:[5, 86], Operations: ['75-63=12', '98-12=86']
Exploring Operation: 5*86=430, Resulting Numbers: [430]
430,82 unequal: No Solution
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 5+86=91, Resulting Numbers: [91]
91,82 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: 82:[12, 93], Operations: ['75-63=12', '98-5=93']
Exploring Operation: 12*93=1116, Resulting Numbers: [1116]
1116,82 unequal: No Solution
Exploring Operation: 93-12=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 12+93=105, Resulting Numbers: [105]
105,82 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: 82:[98, 7], Operations: ['75-63=12', '12-5=7']
Exploring Operation: 98*7=686, Resulting Numbers: [686]
686,82 unequal: No Solution
Exploring Operation: 98-7=91, Resulting Numbers: [91]
91,82 unequal: No Solution
Exploring Operation: 98+7=105, Resulting Numbers: [105]
105,82 unequal: No Solution
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,82 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: 82:[12, 103], Operations: ['75-63=12', '98+5=103']
Exploring Operation: 103-12=91, Resulting Numbers: [91]
91,82 unequal: No Solution
Exploring Operation: 12*103=1236, Resulting Numbers: [1236]
1236,82 unequal: No Solution
Exploring Operation: 12+103=115, Resulting Numbers: [115]
115,82 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 #0,0,4
Current State: 82:[5, 110], Operations: ['75-63=12', '98+12=110']
Exploring Operation: 5*110=550, Resulting Numbers: [550]
550,82 unequal: No Solution
Exploring Operation: 5+110=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 110-5=105, Resulting Numbers: [105]
105,82 unequal: No Solution
Exploring Operation: 110/5=22, Resulting Numbers: [22]
22,82 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: 82:[63, 98, 80], Operations: ['75+5=80']
Exploring Operation: 80-63=17, Resulting Numbers: [98, 17]
Generated Node #0,1,0: 82:[98, 17] Operation: 80-63=17
Exploring Operation: 98-63=35, Resulting Numbers: [80, 35]
Generated Node #0,1,1: 82:[80, 35] Operation: 98-63=35
Exploring Operation: 98-80=18, Resulting Numbers: [63, 18]
Generated Node #0,1,2: 82:[63, 18] Operation: 98-80=18
Exploring Operation: 63+98=161, Resulting Numbers: [80, 161]
Generated Node #0,1,3: 82:[80, 161] Operation: 63+98=161
Exploring Operation: 63+80=143, Resulting Numbers: [98, 143]
Generated Node #0,1,4: 82:[98, 143] Operation: 63+80=143
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 82:[80, 35], Operations: ['75+5=80', '98-63=35']
Exploring Operation: 80+35=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 80*35=2800, Resulting Numbers: [2800]
2800,82 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: 82:[98, 17], Operations: ['75+5=80', '80-63=17']
Exploring Operation: 98*17=1666, Resulting Numbers: [1666]
1666,82 unequal: No Solution
Exploring Operation: 98-17=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 98+17=115, Resulting Numbers: [115]
115,82 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: 82:[63, 18], Operations: ['75+5=80', '98-80=18']
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 63*18=1134, Resulting Numbers: [1134]
1134,82 unequal: No Solution
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,82 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: 82:[98, 143], Operations: ['75+5=80', '63+80=143']
Exploring Operation: 98*143=14014, Resulting Numbers: [14014]
14014,82 unequal: No Solution
Exploring Operation: 143-98=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 98+143=241, Resulting Numbers: [241]
241,82 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: 82:[80, 161], Operations: ['75+5=80', '63+98=161']
Exploring Operation: 80*161=12880, Resulting Numbers: [12880]
12880,82 unequal: No Solution
Exploring Operation: 80+161=241, Resulting Numbers: [241]
241,82 unequal: No Solution
Exploring Operation: 161-80=81, Resulting Numbers: [81]
81,82 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: 82:[75, 63, 93], Operations: ['98-5=93']
Exploring Operation: 93-75=18, Resulting Numbers: [63, 18]
Generated Node #0,3,0: 82:[63, 18] Operation: 93-75=18
Exploring Operation: 75+63=138, Resulting Numbers: [93, 138]
Generated Node #0,3,1: 82:[93, 138] Operation: 75+63=138
Exploring Operation: 63+93=156, Resulting Numbers: [75, 156]
Generated Node #0,3,2: 82:[75, 156] Operation: 63+93=156
Exploring Operation: 93-63=30, Resulting Numbers: [75, 30]
Generated Node #0,3,3: 82:[75, 30] Operation: 93-63=30
Exploring Operation: 75-63=12, Resulting Numbers: [93, 12]
Generated Node #0,3,4: 82:[93, 12] Operation: 75-63=12
Moving to Node #0,4
Current State: 82:[75, 98, 68], Operations: ['63+5=68']
Exploring Operation: 75-68=7, Resulting Numbers: [98, 7]
Generated Node #0,4,0: 82:[98, 7] Operation: 75-68=7
Exploring Operation: 98-68=30, Resulting Numbers: [75, 30]
Generated Node #0,4,1: 82:[75, 30] Operation: 98-68=30
Exploring Operation: 98+68=166, Resulting Numbers: [75, 166]
Generated Node #0,4,2: 82:[75, 166] Operation: 98+68=166
Exploring Operation: 75+68=143, Resulting Numbers: [98, 143]
Generated Node #0,4,3: 82:[98, 143] Operation: 75+68=143
Exploring Operation: 98-75=23, Resulting Numbers: [68, 23]
Generated Node #0,4,4: 82:[68, 23] Operation: 98-75=23
Moving to Node #0,2,0
Current State: 82:[5, 40], Operations: ['98-63=35', '75-35=40']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Exploring Operation: 5*40=200, Resulting Numbers: [200]
200,82 unequal: No Solution
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[75, 40], Operations: ['98-63=35', '5+35=40']
Exploring Operation: 75*40=3000, Resulting Numbers: [3000]
3000,82 unequal: No Solution
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Exploring Operation: 75+40=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[35, 80], Operations: ['98-63=35', '75+5=80']
Exploring Operation: 35+80=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 35*80=2800, Resulting Numbers: [2800]
2800,82 unequal: No Solution
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Moving to Node #0,2,3
Current State: 82:[75, 7], Operations: ['98-63=35', '35/5=7']
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[75, 63, 98, 5], Operations: []
Exploring Operation: 98-63=35, Resulting Numbers: [75, 5, 35]
Generated Node #0,2: 82:[75, 5, 35] Operation: 98-63=35
Moving to Node #0,2
Current State: 82:[75, 5, 35], Operations: ['98-63=35']
Exploring Operation: 35/5=7, Resulting Numbers: [75, 7]
Generated Node #0,2,3: 82:[75, 7] Operation: 35/5=7
Moving to Node #0,2,3
Current State: 82:[75, 7], Operations: ['98-63=35', '35/5=7']
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 0.93316 | hs_5 | mult_heuristic |
[
82,
84,
86,
56
] | 26 | [
"84-82=2",
"56*2=112",
"112-86=26"
] | Current State: 26:[82, 84, 86, 56], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [86, 56, 2]
Generated Node #2: [86, 56, 2] from Operation: 84-82=2
Current State: 26:[86, 56, 2], Operations: ['84-82=2']
Exploring Operation: 56*2=112, Resulting Numbers: [86, 112]
Generated Node #3: [86, 112] from Operation: 56*2=112
Current State: 26:[86, 112], Operations: ['84-82=2', '56*2=112']
Exploring Operation: 112-86=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[82, 84, 86, 56], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [82, 56, 2]
Generated Node #0,0: 26:[82, 56, 2] Operation: 86-84=2
Moving to Node #0,0
Current State: 26:[82, 56, 2], Operations: ['86-84=2']
Exploring Operation: 82-56=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 26:[2, 26] Operation: 82-56=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[2, 26], Operations: ['86-84=2', '82-56=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,26 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 |
[
30,
55,
12,
54
] | 41 | [
"55-30=25",
"12+54=66",
"66-25=41"
] | Current State: 41:[30, 55, 12, 54], Operations: []
Exploring Operation: 55-30=25, Resulting Numbers: [12, 54, 25]
Generated Node #2: [12, 54, 25] from Operation: 55-30=25
Current State: 41:[12, 54, 25], Operations: ['55-30=25']
Exploring Operation: 12+54=66, Resulting Numbers: [25, 66]
Generated Node #3: [25, 66] from Operation: 12+54=66
Current State: 41:[25, 66], Operations: ['55-30=25', '12+54=66']
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[30, 55, 12, 54], Operations: []
Exploring Operation: 54-12=42, Resulting Numbers: [30, 55, 42]
Generated Node #0,0: 41:[30, 55, 42] Operation: 54-12=42
Exploring Operation: 55-12=43, Resulting Numbers: [30, 54, 43]
Generated Node #0,1: 41:[30, 54, 43] Operation: 55-12=43
Exploring Operation: 30-12=18, Resulting Numbers: [55, 54, 18]
Generated Node #0,2: 41:[55, 54, 18] Operation: 30-12=18
Exploring Operation: 30+12=42, Resulting Numbers: [55, 54, 42]
Generated Node #0,3: 41:[55, 54, 42] Operation: 30+12=42
Moving to Node #0,0
Current State: 41:[30, 55, 42], Operations: ['54-12=42']
Exploring Operation: 30+55=85, Resulting Numbers: [42, 85]
Generated Node #0,0,0: 41:[42, 85] Operation: 30+55=85
Exploring Operation: 55-42=13, Resulting Numbers: [30, 13]
Generated Node #0,0,1: 41:[30, 13] Operation: 55-42=13
Exploring Operation: 55-30=25, Resulting Numbers: [42, 25]
Generated Node #0,0,2: 41:[42, 25] Operation: 55-30=25
Exploring Operation: 42-30=12, Resulting Numbers: [55, 12]
Generated Node #0,0,3: 41:[55, 12] Operation: 42-30=12
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[42, 25], Operations: ['54-12=42', '55-30=25']
Exploring Operation: 42-25=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 42+25=67, Resulting Numbers: [67]
67,41 unequal: No Solution
Exploring Operation: 42*25=1050, Resulting Numbers: [1050]
1050,41 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: 41:[30, 13], Operations: ['54-12=42', '55-42=13']
Exploring Operation: 30*13=390, Resulting Numbers: [390]
390,41 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,41 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: 41:[55, 12], Operations: ['54-12=42', '42-30=12']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 55*12=660, Resulting Numbers: [660]
660,41 unequal: No Solution
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,41 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: 41:[42, 85], Operations: ['54-12=42', '30+55=85']
Exploring Operation: 42*85=3570, Resulting Numbers: [3570]
3570,41 unequal: No Solution
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 42+85=127, Resulting Numbers: [127]
127,41 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: 41:[30, 54, 43], Operations: ['55-12=43']
Exploring Operation: 43-30=13, Resulting Numbers: [54, 13]
Generated Node #0,1,0: 41:[54, 13] Operation: 43-30=13
Exploring Operation: 30+54=84, Resulting Numbers: [43, 84]
Generated Node #0,1,1: 41:[43, 84] Operation: 30+54=84
Exploring Operation: 54-30=24, Resulting Numbers: [43, 24]
Generated Node #0,1,2: 41:[43, 24] Operation: 54-30=24
Exploring Operation: 54-43=11, Resulting Numbers: [30, 11]
Generated Node #0,1,3: 41:[30, 11] Operation: 54-43=11
Moving to Node #0,3
Current State: 41:[55, 54, 42], Operations: ['30+12=42']
Exploring Operation: 55-54=1, Resulting Numbers: [42, 1]
Generated Node #0,3,0: 41:[42, 1] Operation: 55-54=1
Exploring Operation: 55-42=13, Resulting Numbers: [54, 13]
Generated Node #0,3,1: 41:[54, 13] Operation: 55-42=13
Exploring Operation: 54-42=12, Resulting Numbers: [55, 12]
Generated Node #0,3,2: 41:[55, 12] Operation: 54-42=12
Exploring Operation: 55+54=109, Resulting Numbers: [42, 109]
Generated Node #0,3,3: 41:[42, 109] Operation: 55+54=109
Moving to Node #0,2
Current State: 41:[55, 54, 18], Operations: ['30-12=18']
Exploring Operation: 55-18=37, Resulting Numbers: [54, 37]
Generated Node #0,2,0: 41:[54, 37] Operation: 55-18=37
Exploring Operation: 54+18=72, Resulting Numbers: [55, 72]
Generated Node #0,2,1: 41:[55, 72] Operation: 54+18=72
Exploring Operation: 54-18=36, Resulting Numbers: [55, 36]
Generated Node #0,2,2: 41:[55, 36] Operation: 54-18=36
Exploring Operation: 55+18=73, Resulting Numbers: [54, 73]
Generated Node #0,2,3: 41:[54, 73] Operation: 55+18=73
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 41:[54, 37], Operations: ['30-12=18', '55-18=37']
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 54*37=1998, Resulting Numbers: [1998]
1998,41 unequal: No Solution
Exploring Operation: 54+37=91, Resulting Numbers: [91]
91,41 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: 41:[55, 36], Operations: ['30-12=18', '54-18=36']
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 55+36=91, Resulting Numbers: [91]
91,41 unequal: No Solution
Exploring Operation: 55*36=1980, Resulting Numbers: [1980]
1980,41 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: 41:[55, 72], Operations: ['30-12=18', '54+18=72']
Exploring Operation: 55+72=127, Resulting Numbers: [127]
127,41 unequal: No Solution
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 55*72=3960, Resulting Numbers: [3960]
3960,41 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: 41:[54, 73], Operations: ['30-12=18', '55+18=73']
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 54+73=127, Resulting Numbers: [127]
127,41 unequal: No Solution
Exploring Operation: 54*73=3942, Resulting Numbers: [3942]
3942,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 41:[43, 24], Operations: ['55-12=43', '54-30=24']
Exploring Operation: 43*24=1032, Resulting Numbers: [1032]
1032,41 unequal: No Solution
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,41 unequal: No Solution
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[30, 11], Operations: ['55-12=43', '54-43=11']
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,41 unequal: No Solution
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[30, 55, 12, 54], Operations: []
Exploring Operation: 55-12=43, Resulting Numbers: [30, 54, 43]
Generated Node #0,1: 41:[30, 54, 43] Operation: 55-12=43
Moving to Node #0,1
Current State: 41:[30, 54, 43], Operations: ['55-12=43']
Exploring Operation: 54-43=11, Resulting Numbers: [30, 11]
Generated Node #0,1,3: 41:[30, 11] Operation: 54-43=11
Moving to Node #0,1,3
Current State: 41:[30, 11], Operations: ['55-12=43', '54-43=11']
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 0.953993 | hs_4 | sum_heuristic |
[
65,
55,
5,
83
] | 35 | [
"83-65=18",
"5*18=90",
"90-55=35"
] | Current State: 35:[65, 55, 5, 83], Operations: []
Exploring Operation: 83-65=18, Resulting Numbers: [55, 5, 18]
Generated Node #2: [55, 5, 18] from Operation: 83-65=18
Current State: 35:[55, 5, 18], Operations: ['83-65=18']
Exploring Operation: 5*18=90, Resulting Numbers: [55, 90]
Generated Node #3: [55, 90] from Operation: 5*18=90
Current State: 35:[55, 90], Operations: ['83-65=18', '5*18=90']
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[65, 55, 5, 83], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [65, 83, 11]
Generated Node #0,0: 35:[65, 83, 11] Operation: 55/5=11
Exploring Operation: 65-55=10, Resulting Numbers: [5, 83, 10]
Generated Node #0,1: 35:[5, 83, 10] Operation: 65-55=10
Exploring Operation: 65/5=13, Resulting Numbers: [55, 83, 13]
Generated Node #0,2: 35:[55, 83, 13] Operation: 65/5=13
Exploring Operation: 83-55=28, Resulting Numbers: [65, 5, 28]
Generated Node #0,3: 35:[65, 5, 28] Operation: 83-55=28
Exploring Operation: 83-65=18, Resulting Numbers: [55, 5, 18]
Generated Node #0,4: 35:[55, 5, 18] Operation: 83-65=18
Start Sub Search at level 1: Moving to Node #0,4
Current State: 35:[55, 5, 18], Operations: ['83-65=18']
Exploring Operation: 55-5=50, Resulting Numbers: [18, 50]
Generated Node #0,4,0: 35:[18, 50] Operation: 55-5=50
Exploring Operation: 55-18=37, Resulting Numbers: [5, 37]
Generated Node #0,4,1: 35:[5, 37] Operation: 55-18=37
Exploring Operation: 55/5=11, Resulting Numbers: [18, 11]
Generated Node #0,4,2: 35:[18, 11] Operation: 55/5=11
Exploring Operation: 5+18=23, Resulting Numbers: [55, 23]
Generated Node #0,4,3: 35:[55, 23] Operation: 5+18=23
Exploring Operation: 18-5=13, Resulting Numbers: [55, 13]
Generated Node #0,4,4: 35:[55, 13] Operation: 18-5=13
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 35:[5, 37], Operations: ['83-65=18', '55-18=37']
Exploring Operation: 5*37=185, Resulting Numbers: [185]
185,35 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,35 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 #0,4,2
Current State: 35:[18, 11], Operations: ['83-65=18', '55/5=11']
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,35 unequal: No Solution
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,35 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 #0,4,0
Current State: 35:[18, 50], Operations: ['83-65=18', '55-5=50']
Exploring Operation: 18+50=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 18*50=900, Resulting Numbers: [900]
900,35 unequal: No Solution
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,35 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 #0,4,4
Current State: 35:[55, 13], Operations: ['83-65=18', '18-5=13']
Exploring Operation: 55*13=715, Resulting Numbers: [715]
715,35 unequal: No Solution
Exploring Operation: 55+13=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,35 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 #0,4,3
Current State: 35:[55, 23], Operations: ['83-65=18', '5+18=23']
Exploring Operation: 55*23=1265, Resulting Numbers: [1265]
1265,35 unequal: No Solution
Exploring Operation: 55+23=78, Resulting Numbers: [78]
78,35 unequal: No Solution
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,35 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: 35:[65, 5, 28], Operations: ['83-55=28']
Exploring Operation: 65-28=37, Resulting Numbers: [5, 37]
Generated Node #0,3,0: 35:[5, 37] Operation: 65-28=37
Exploring Operation: 65+5=70, Resulting Numbers: [28, 70]
Generated Node #0,3,1: 35:[28, 70] Operation: 65+5=70
Exploring Operation: 5+28=33, Resulting Numbers: [65, 33]
Generated Node #0,3,2: 35:[65, 33] Operation: 5+28=33
Exploring Operation: 65-5=60, Resulting Numbers: [28, 60]
Generated Node #0,3,3: 35:[28, 60] Operation: 65-5=60
Exploring Operation: 65/5=13, Resulting Numbers: [28, 13]
Generated Node #0,3,4: 35:[28, 13] Operation: 65/5=13
Moving to Node #0,3,0
Current State: 35:[5, 37], Operations: ['83-55=28', '65-28=37']
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Exploring Operation: 5*37=185, Resulting Numbers: [185]
185,35 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Moving to Node #0,3,4
Current State: 35:[28, 13], Operations: ['83-55=28', '65/5=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,35 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,35 unequal: No Solution
Moving to Node #0,3,2
Current State: 35:[65, 33], Operations: ['83-55=28', '5+28=33']
Exploring Operation: 65*33=2145, Resulting Numbers: [2145]
2145,35 unequal: No Solution
Exploring Operation: 65+33=98, Resulting Numbers: [98]
98,35 unequal: No Solution
Exploring Operation: 65-33=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Moving to Node #0,3,3
Current State: 35:[28, 60], Operations: ['83-55=28', '65-5=60']
Exploring Operation: 28+60=88, Resulting Numbers: [88]
88,35 unequal: No Solution
Exploring Operation: 28*60=1680, Resulting Numbers: [1680]
1680,35 unequal: No Solution
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Moving to Node #0,3,1
Current State: 35:[28, 70], Operations: ['83-55=28', '65+5=70']
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Exploring Operation: 28+70=98, Resulting Numbers: [98]
98,35 unequal: No Solution
Exploring Operation: 28*70=1960, Resulting Numbers: [1960]
1960,35 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
Current State: 35:[5, 83, 10], Operations: ['65-55=10']
Exploring Operation: 83-10=73, Resulting Numbers: [5, 73]
Generated Node #0,1,0: 35:[5, 73] Operation: 83-10=73
Exploring Operation: 83-5=78, Resulting Numbers: [10, 78]
Generated Node #0,1,1: 35:[10, 78] Operation: 83-5=78
Exploring Operation: 5+83=88, Resulting Numbers: [10, 88]
Generated Node #0,1,2: 35:[10, 88] Operation: 5+83=88
Exploring Operation: 10/5=2, Resulting Numbers: [83, 2]
Generated Node #0,1,3: 35:[83, 2] Operation: 10/5=2
Exploring Operation: 10-5=5, Resulting Numbers: [83, 5]
Generated Node #0,1,4: 35:[83, 5] Operation: 10-5=5
Moving to Node #0,1,0
Current State: 35:[5, 73], Operations: ['65-55=10', '83-10=73']
Exploring Operation: 5+73=78, Resulting Numbers: [78]
78,35 unequal: No Solution
Exploring Operation: 5*73=365, Resulting Numbers: [365]
365,35 unequal: No Solution
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[10, 78], Operations: ['65-55=10', '83-5=78']
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 10*78=780, Resulting Numbers: [780]
780,35 unequal: No Solution
Exploring Operation: 10+78=88, Resulting Numbers: [88]
88,35 unequal: No Solution
Moving to Node #0,1,4
Current State: 35:[83, 5], Operations: ['65-55=10', '10-5=5']
Exploring Operation: 83*5=415, Resulting Numbers: [415]
415,35 unequal: No Solution
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,35 unequal: No Solution
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,35 unequal: No Solution
Moving to Node #0,1,3
Current State: 35:[83, 2], Operations: ['65-55=10', '10/5=2']
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,35 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[10, 88], Operations: ['65-55=10', '5+83=88']
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,35 unequal: No Solution
Exploring Operation: 10+88=98, Resulting Numbers: [98]
98,35 unequal: No Solution
Exploring Operation: 10*88=880, Resulting Numbers: [880]
880,35 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
Current State: 35:[55, 83, 13], Operations: ['65/5=13']
Exploring Operation: 55-13=42, Resulting Numbers: [83, 42]
Generated Node #0,2,0: 35:[83, 42] Operation: 55-13=42
Exploring Operation: 83-55=28, Resulting Numbers: [13, 28]
Generated Node #0,2,1: 35:[13, 28] Operation: 83-55=28
Exploring Operation: 55+13=68, Resulting Numbers: [83, 68]
Generated Node #0,2,2: 35:[83, 68] Operation: 55+13=68
Exploring Operation: 83+13=96, Resulting Numbers: [55, 96]
Generated Node #0,2,3: 35:[55, 96] Operation: 83+13=96
Exploring Operation: 83-13=70, Resulting Numbers: [55, 70]
Generated Node #0,2,4: 35:[55, 70] Operation: 83-13=70
Moving to Node #0,2,1
Current State: 35:[13, 28], Operations: ['65/5=13', '83-55=28']
Exploring Operation: 13*28=364, Resulting Numbers: [364]
364,35 unequal: No Solution
Exploring Operation: 13+28=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,35 unequal: No Solution
Moving to Node #0,2,4
Current State: 35:[55, 70], Operations: ['65/5=13', '83-13=70']
Exploring Operation: 55+70=125, Resulting Numbers: [125]
125,35 unequal: No Solution
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,35 unequal: No Solution
Exploring Operation: 55*70=3850, Resulting Numbers: [3850]
3850,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[83, 42], Operations: ['65/5=13', '55-13=42']
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 83+42=125, Resulting Numbers: [125]
125,35 unequal: No Solution
Exploring Operation: 83*42=3486, Resulting Numbers: [3486]
3486,35 unequal: No Solution
Moving to Node #0,2,2
Current State: 35:[83, 68], Operations: ['65/5=13', '55+13=68']
Exploring Operation: 83-68=15, Resulting Numbers: [15]
15,35 unequal: No Solution
Exploring Operation: 83*68=5644, Resulting Numbers: [5644]
5644,35 unequal: No Solution
Exploring Operation: 83+68=151, Resulting Numbers: [151]
151,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[55, 96], Operations: ['65/5=13', '83+13=96']
Exploring Operation: 55+96=151, Resulting Numbers: [151]
151,35 unequal: No Solution
Exploring Operation: 96-55=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 55*96=5280, Resulting Numbers: [5280]
5280,35 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
Current State: 35:[65, 83, 11], Operations: ['55/5=11']
Exploring Operation: 65-11=54, Resulting Numbers: [83, 54]
Generated Node #0,0,0: 35:[83, 54] Operation: 65-11=54
Exploring Operation: 83+11=94, Resulting Numbers: [65, 94]
Generated Node #0,0,1: 35:[65, 94] Operation: 83+11=94
Exploring Operation: 83-65=18, Resulting Numbers: [11, 18]
Generated Node #0,0,2: 35:[11, 18] Operation: 83-65=18
Exploring Operation: 65+11=76, Resulting Numbers: [83, 76]
Generated Node #0,0,3: 35:[83, 76] Operation: 65+11=76
Exploring Operation: 83-11=72, Resulting Numbers: [65, 72]
Generated Node #0,0,4: 35:[65, 72] Operation: 83-11=72
Moving to Node #0,0,2
Current State: 35:[11, 18], Operations: ['55/5=11', '83-65=18']
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,35 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Moving to Node #0,0,4
Current State: 35:[65, 72], Operations: ['55/5=11', '83-11=72']
Exploring Operation: 65*72=4680, Resulting Numbers: [4680]
4680,35 unequal: No Solution
Exploring Operation: 65+72=137, Resulting Numbers: [137]
137,35 unequal: No Solution
Exploring Operation: 72-65=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[83, 54], Operations: ['55/5=11', '65-11=54']
Exploring Operation: 83+54=137, Resulting Numbers: [137]
137,35 unequal: No Solution
Exploring Operation: 83-54=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Exploring Operation: 83*54=4482, Resulting Numbers: [4482]
4482,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[65, 94], Operations: ['55/5=11', '83+11=94']
Exploring Operation: 65+94=159, Resulting Numbers: [159]
159,35 unequal: No Solution
Exploring Operation: 65*94=6110, Resulting Numbers: [6110]
6110,35 unequal: No Solution
Exploring Operation: 94-65=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Moving to Node #0,0,3
Current State: 35:[83, 76], Operations: ['55/5=11', '65+11=76']
Exploring Operation: 83+76=159, Resulting Numbers: [159]
159,35 unequal: No Solution
Exploring Operation: 83*76=6308, Resulting Numbers: [6308]
6308,35 unequal: No Solution
Exploring Operation: 83-76=7, Resulting Numbers: [7]
7,35 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 |
[
53,
58,
69,
16
] | 58 | [
"53+58=111",
"69-16=53",
"111-53=58"
] | Current State: 58:[53, 58, 69, 16], Operations: []
Exploring Operation: 53+58=111, Resulting Numbers: [69, 16, 111]
Generated Node #2: [69, 16, 111] from Operation: 53+58=111
Current State: 58:[69, 16, 111], Operations: ['53+58=111']
Exploring Operation: 69-16=53, Resulting Numbers: [111, 53]
Generated Node #3: [111, 53] from Operation: 69-16=53
Current State: 58:[111, 53], Operations: ['53+58=111', '69-16=53']
Exploring Operation: 111-53=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[53, 58, 69, 16], Operations: []
Exploring Operation: 53-16=37, Resulting Numbers: [58, 69, 37]
Generated Node #0,0: 58:[58, 69, 37] Operation: 53-16=37
Exploring Operation: 69-16=53, Resulting Numbers: [53, 58, 53]
Generated Node #0,1: 58:[53, 58, 53] Operation: 69-16=53
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[53, 58, 53], Operations: ['69-16=53']
Exploring Operation: 53-53=0, Resulting Numbers: [58, 0]
Generated Node #0,1,0: 58:[58, 0] Operation: 53-53=0
Exploring Operation: 53/53=1, Resulting Numbers: [58, 1]
Generated Node #0,1,1: 58:[58, 1] Operation: 53/53=1
Moving to Node #0,1,1
Current State: 58:[58, 1], Operations: ['69-16=53', '53/53=1']
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[53, 58, 69, 16], Operations: []
Exploring Operation: 69-16=53, Resulting Numbers: [53, 58, 53]
Generated Node #0,1: 58:[53, 58, 53] Operation: 69-16=53
Moving to Node #0,1
Current State: 58:[53, 58, 53], Operations: ['69-16=53']
Exploring Operation: 53/53=1, Resulting Numbers: [58, 1]
Generated Node #0,1,1: 58:[58, 1] Operation: 53/53=1
Moving to Node #0,1,1
Current State: 58:[58, 1], Operations: ['69-16=53', '53/53=1']
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
50,
52,
6,
90
] | 82 | [
"52-50=2",
"90-6=84",
"84-2=82"
] | Current State: 82:[50, 52, 6, 90], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [6, 90, 2]
Generated Node #2: [6, 90, 2] from Operation: 52-50=2
Current State: 82:[6, 90, 2], Operations: ['52-50=2']
Exploring Operation: 90-6=84, Resulting Numbers: [2, 84]
Generated Node #3: [2, 84] from Operation: 90-6=84
Current State: 82:[2, 84], Operations: ['52-50=2', '90-6=84']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[50, 52, 6, 90], Operations: []
Exploring Operation: 50-6=44, Resulting Numbers: [52, 90, 44]
Generated Node #0,0: 82:[52, 90, 44] Operation: 50-6=44
Exploring Operation: 52-50=2, Resulting Numbers: [6, 90, 2]
Generated Node #0,1: 82:[6, 90, 2] Operation: 52-50=2
Exploring Operation: 90-52=38, Resulting Numbers: [50, 6, 38]
Generated Node #0,2: 82:[50, 6, 38] Operation: 90-52=38
Exploring Operation: 52-6=46, Resulting Numbers: [50, 90, 46]
Generated Node #0,3: 82:[50, 90, 46] Operation: 52-6=46
Exploring Operation: 90-50=40, Resulting Numbers: [52, 6, 40]
Generated Node #0,4: 82:[52, 6, 40] Operation: 90-50=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[6, 90, 2], Operations: ['52-50=2']
Exploring Operation: 90-2=88, Resulting Numbers: [6, 88]
Generated Node #0,1,0: 82:[6, 88] Operation: 90-2=88
Exploring Operation: 6/2=3, Resulting Numbers: [90, 3]
Generated Node #0,1,1: 82:[90, 3] Operation: 6/2=3
Exploring Operation: 90/2=45, Resulting Numbers: [6, 45]
Generated Node #0,1,2: 82:[6, 45] Operation: 90/2=45
Exploring Operation: 90-6=84, Resulting Numbers: [2, 84]
Generated Node #0,1,3: 82:[2, 84] Operation: 90-6=84
Exploring Operation: 6-2=4, Resulting Numbers: [90, 4]
Generated Node #0,1,4: 82:[90, 4] Operation: 6-2=4
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 82:[2, 84], Operations: ['52-50=2', '90-6=84']
Exploring Operation: 2*84=168, Resulting Numbers: [168]
168,82 unequal: No Solution
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[50, 52, 6, 90], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [6, 90, 2]
Generated Node #0,1: 82:[6, 90, 2] Operation: 52-50=2
Moving to Node #0,1
Current State: 82:[6, 90, 2], Operations: ['52-50=2']
Exploring Operation: 90-6=84, Resulting Numbers: [2, 84]
Generated Node #0,1,3: 82:[2, 84] Operation: 90-6=84
Moving to Node #0,1,3
Current State: 82:[2, 84], Operations: ['52-50=2', '90-6=84']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
14,
63,
49,
55
] | 47 | [
"63+49=112",
"112/14=8",
"55-8=47"
] | Current State: 47:[14, 63, 49, 55], Operations: []
Exploring Operation: 63+49=112, Resulting Numbers: [14, 55, 112]
Generated Node #2: [14, 55, 112] from Operation: 63+49=112
Current State: 47:[14, 55, 112], Operations: ['63+49=112']
Exploring Operation: 112/14=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 112/14=8
Current State: 47:[55, 8], Operations: ['63+49=112', '112/14=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[14, 63, 49, 55], Operations: []
Exploring Operation: 55-14=41, Resulting Numbers: [63, 49, 41]
Generated Node #0,0: 47:[63, 49, 41] Operation: 55-14=41
Exploring Operation: 14+63=77, Resulting Numbers: [49, 55, 77]
Generated Node #0,1: 47:[49, 55, 77] Operation: 14+63=77
Exploring Operation: 63-14=49, Resulting Numbers: [49, 55, 49]
Generated Node #0,2: 47:[49, 55, 49] Operation: 63-14=49
Exploring Operation: 49-14=35, Resulting Numbers: [63, 55, 35]
Generated Node #0,3: 47:[63, 55, 35] Operation: 49-14=35
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[49, 55, 49], Operations: ['63-14=49']
Exploring Operation: 55-49=6, Resulting Numbers: [49, 6]
Generated Node #0,2,0: 47:[49, 6] Operation: 55-49=6
Exploring Operation: 55-49=6, Resulting Numbers: [49, 6]
Generated Node #0,2,1: 47:[49, 6] Operation: 55-49=6
Exploring Operation: 49/49=1, Resulting Numbers: [55, 1]
Generated Node #0,2,2: 47:[55, 1] Operation: 49/49=1
Exploring Operation: 49-49=0, Resulting Numbers: [55, 0]
Generated Node #0,2,3: 47:[55, 0] Operation: 49-49=0
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 47:[49, 6], Operations: ['63-14=49', '55-49=6']
Exploring Operation: 49*6=294, Resulting Numbers: [294]
294,47 unequal: No Solution
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,47 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: 47:[49, 6], Operations: ['63-14=49', '55-49=6']
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 49*6=294, Resulting Numbers: [294]
294,47 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: 47:[55, 1], Operations: ['63-14=49', '49/49=1']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,47 unequal: No Solution
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,47 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: 47:[55, 0], Operations: ['63-14=49', '49-49=0']
Exploring Operation: 55-0=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 55+0=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 55*0=0, Resulting Numbers: [0]
0,47 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: 47:[63, 49, 41], Operations: ['55-14=41']
Exploring Operation: 49-41=8, Resulting Numbers: [63, 8]
Generated Node #0,0,0: 47:[63, 8] Operation: 49-41=8
Exploring Operation: 63-41=22, Resulting Numbers: [49, 22]
Generated Node #0,0,1: 47:[49, 22] Operation: 63-41=22
Exploring Operation: 63-49=14, Resulting Numbers: [41, 14]
Generated Node #0,0,2: 47:[41, 14] Operation: 63-49=14
Exploring Operation: 63+41=104, Resulting Numbers: [49, 104]
Generated Node #0,0,3: 47:[49, 104] Operation: 63+41=104
Moving to Node #0,0,1
Current State: 47:[49, 22], Operations: ['55-14=41', '63-41=22']
Exploring Operation: 49*22=1078, Resulting Numbers: [1078]
1078,47 unequal: No Solution
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,47 unequal: No Solution
Exploring Operation: 49+22=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[41, 14], Operations: ['55-14=41', '63-49=14']
Exploring Operation: 41*14=574, Resulting Numbers: [574]
574,47 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,47 unequal: No Solution
Exploring Operation: 41+14=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[63, 8], Operations: ['55-14=41', '49-41=8']
Exploring Operation: 63*8=504, Resulting Numbers: [504]
504,47 unequal: No Solution
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[49, 104], Operations: ['55-14=41', '63+41=104']
Exploring Operation: 49+104=153, Resulting Numbers: [153]
153,47 unequal: No Solution
Exploring Operation: 104-49=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 49*104=5096, Resulting Numbers: [5096]
5096,47 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: 47:[63, 55, 35], Operations: ['49-14=35']
Exploring Operation: 63-55=8, Resulting Numbers: [35, 8]
Generated Node #0,3,0: 47:[35, 8] Operation: 63-55=8
Exploring Operation: 63+35=98, Resulting Numbers: [55, 98]
Generated Node #0,3,1: 47:[55, 98] Operation: 63+35=98
Exploring Operation: 55-35=20, Resulting Numbers: [63, 20]
Generated Node #0,3,2: 47:[63, 20] Operation: 55-35=20
Exploring Operation: 63-35=28, Resulting Numbers: [55, 28]
Generated Node #0,3,3: 47:[55, 28] Operation: 63-35=28
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 47:[55, 28], Operations: ['49-14=35', '63-35=28']
Exploring Operation: 55*28=1540, Resulting Numbers: [1540]
1540,47 unequal: No Solution
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,47 unequal: No Solution
Exploring Operation: 55+28=83, Resulting Numbers: [83]
83,47 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: 47:[63, 20], Operations: ['49-14=35', '55-35=20']
Exploring Operation: 63*20=1260, Resulting Numbers: [1260]
1260,47 unequal: No Solution
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,47 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: 47:[35, 8], Operations: ['49-14=35', '63-55=8']
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,47 unequal: No Solution
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,47 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: 47:[55, 98], Operations: ['49-14=35', '63+35=98']
Exploring Operation: 55+98=153, Resulting Numbers: [153]
153,47 unequal: No Solution
Exploring Operation: 55*98=5390, Resulting Numbers: [5390]
5390,47 unequal: No Solution
Exploring Operation: 98-55=43, Resulting Numbers: [43]
43,47 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: 47:[49, 55, 77], Operations: ['14+63=77']
Exploring Operation: 77-55=22, Resulting Numbers: [49, 22]
Generated Node #0,1,0: 47:[49, 22] Operation: 77-55=22
Exploring Operation: 77-49=28, Resulting Numbers: [55, 28]
Generated Node #0,1,1: 47:[55, 28] Operation: 77-49=28
Exploring Operation: 49+55=104, Resulting Numbers: [77, 104]
Generated Node #0,1,2: 47:[77, 104] Operation: 49+55=104
Exploring Operation: 55-49=6, Resulting Numbers: [77, 6]
Generated Node #0,1,3: 47:[77, 6] Operation: 55-49=6
Moving to Node #0,1,0
Current State: 47:[49, 22], Operations: ['14+63=77', '77-55=22']
Exploring Operation: 49+22=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Exploring Operation: 49*22=1078, Resulting Numbers: [1078]
1078,47 unequal: No Solution
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[55, 28], Operations: ['14+63=77', '77-49=28']
Exploring Operation: 55*28=1540, Resulting Numbers: [1540]
1540,47 unequal: No Solution
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,47 unequal: No Solution
Exploring Operation: 55+28=83, Resulting Numbers: [83]
83,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[77, 6], Operations: ['14+63=77', '55-49=6']
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,47 unequal: No Solution
Exploring Operation: 77*6=462, Resulting Numbers: [462]
462,47 unequal: No Solution
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[77, 104], Operations: ['14+63=77', '49+55=104']
Exploring Operation: 77+104=181, Resulting Numbers: [181]
181,47 unequal: No Solution
Exploring Operation: 77*104=8008, Resulting Numbers: [8008]
8008,47 unequal: No Solution
Exploring Operation: 104-77=27, Resulting Numbers: [27]
27,47 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 |
[
69,
24,
57,
82
] | 70 | [
"69-24=45",
"82-57=25",
"45+25=70"
] | Current State: 70:[69, 24, 57, 82], Operations: []
Exploring Operation: 69-24=45, Resulting Numbers: [57, 82, 45]
Generated Node #2: [57, 82, 45] from Operation: 69-24=45
Current State: 70:[57, 82, 45], Operations: ['69-24=45']
Exploring Operation: 82-57=25, Resulting Numbers: [45, 25]
Generated Node #3: [45, 25] from Operation: 82-57=25
Current State: 70:[45, 25], Operations: ['69-24=45', '82-57=25']
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[69, 24, 57, 82], Operations: []
Exploring Operation: 57-24=33, Resulting Numbers: [69, 82, 33]
Generated Node #0,0: 70:[69, 82, 33] Operation: 57-24=33
Exploring Operation: 69-57=12, Resulting Numbers: [24, 82, 12]
Generated Node #0,1: 70:[24, 82, 12] Operation: 69-57=12
Exploring Operation: 82-57=25, Resulting Numbers: [69, 24, 25]
Generated Node #0,2: 70:[69, 24, 25] Operation: 82-57=25
Moving to Node #0,0
Current State: 70:[69, 82, 33], Operations: ['57-24=33']
Exploring Operation: 82-33=49, Resulting Numbers: [69, 49]
Generated Node #0,0,0: 70:[69, 49] Operation: 82-33=49
Exploring Operation: 82-69=13, Resulting Numbers: [33, 13]
Generated Node #0,0,1: 70:[33, 13] Operation: 82-69=13
Exploring Operation: 69-33=36, Resulting Numbers: [82, 36]
Generated Node #0,0,2: 70:[82, 36] Operation: 69-33=36
Moving to Node #0,2
Current State: 70:[69, 24, 25], Operations: ['82-57=25']
Exploring Operation: 25-24=1, Resulting Numbers: [69, 1]
Generated Node #0,2,0: 70:[69, 1] Operation: 25-24=1
Exploring Operation: 69-25=44, Resulting Numbers: [24, 44]
Generated Node #0,2,1: 70:[24, 44] Operation: 69-25=44
Exploring Operation: 24+25=49, Resulting Numbers: [69, 49]
Generated Node #0,2,2: 70:[69, 49] Operation: 24+25=49
Moving to Node #0,1
Current State: 70:[24, 82, 12], Operations: ['69-57=12']
Exploring Operation: 82-12=70, Resulting Numbers: [24, 70]
Generated Node #0,1,0: 70:[24, 70] Operation: 82-12=70
Exploring Operation: 24/12=2, Resulting Numbers: [82, 2]
Generated Node #0,1,1: 70:[82, 2] Operation: 24/12=2
Exploring Operation: 24+12=36, Resulting Numbers: [82, 36]
Generated Node #0,1,2: 70:[82, 36] Operation: 24+12=36
Moving to Node #0,2,0
Current State: 70:[69, 1], Operations: ['82-57=25', '25-24=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[69, 24, 57, 82], Operations: []
Exploring Operation: 82-57=25, Resulting Numbers: [69, 24, 25]
Generated Node #0,2: 70:[69, 24, 25] Operation: 82-57=25
Moving to Node #0,2
Current State: 70:[69, 24, 25], Operations: ['82-57=25']
Exploring Operation: 25-24=1, Resulting Numbers: [69, 1]
Generated Node #0,2,0: 70:[69, 1] Operation: 25-24=1
Moving to Node #0,2,0
Current State: 70:[69, 1], Operations: ['82-57=25', '25-24=1']
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.983507 | hs_3 | sum_heuristic |
[
47,
94,
44,
70
] | 27 | [
"47+94=141",
"44+70=114",
"141-114=27"
] | Current State: 27:[47, 94, 44, 70], Operations: []
Exploring Operation: 47+94=141, Resulting Numbers: [44, 70, 141]
Generated Node #2: [44, 70, 141] from Operation: 47+94=141
Current State: 27:[44, 70, 141], Operations: ['47+94=141']
Exploring Operation: 44+70=114, Resulting Numbers: [141, 114]
Generated Node #3: [141, 114] from Operation: 44+70=114
Current State: 27:[141, 114], Operations: ['47+94=141', '44+70=114']
Exploring Operation: 141-114=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[47, 94, 44, 70], Operations: []
Exploring Operation: 94-70=24, Resulting Numbers: [47, 44, 24]
Generated Node #0,0: 27:[47, 44, 24] Operation: 94-70=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[47, 44, 24], Operations: ['94-70=24']
Exploring Operation: 47-44=3, Resulting Numbers: [24, 3]
Generated Node #0,0,0: 27:[24, 3] Operation: 47-44=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[24, 3], Operations: ['94-70=24', '47-44=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[47, 94, 44, 70], Operations: []
Exploring Operation: 94-70=24, Resulting Numbers: [47, 44, 24]
Generated Node #0,0: 27:[47, 44, 24] Operation: 94-70=24
Moving to Node #0,0
Current State: 27:[47, 44, 24], Operations: ['94-70=24']
Exploring Operation: 47-44=3, Resulting Numbers: [24, 3]
Generated Node #0,0,0: 27:[24, 3] Operation: 47-44=3
Moving to Node #0,0,0
Current State: 27:[24, 3], Operations: ['94-70=24', '47-44=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
39,
67,
2,
27
] | 91 | [
"39-27=12",
"2*12=24",
"67+24=91"
] | Current State: 91:[39, 67, 2, 27], Operations: []
Exploring Operation: 39-27=12, Resulting Numbers: [67, 2, 12]
Generated Node #2: [67, 2, 12] from Operation: 39-27=12
Current State: 91:[67, 2, 12], Operations: ['39-27=12']
Exploring Operation: 2*12=24, Resulting Numbers: [67, 24]
Generated Node #3: [67, 24] from Operation: 2*12=24
Current State: 91:[67, 24], Operations: ['39-27=12', '2*12=24']
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[39, 67, 2, 27], Operations: []
Exploring Operation: 39-27=12, Resulting Numbers: [67, 2, 12]
Generated Node #0,0: 91:[67, 2, 12] Operation: 39-27=12
Exploring Operation: 67-39=28, Resulting Numbers: [2, 27, 28]
Generated Node #0,1: 91:[2, 27, 28] Operation: 67-39=28
Exploring Operation: 39+67=106, Resulting Numbers: [2, 27, 106]
Generated Node #0,2: 91:[2, 27, 106] Operation: 39+67=106
Exploring Operation: 67+27=94, Resulting Numbers: [39, 2, 94]
Generated Node #0,3: 91:[39, 2, 94] Operation: 67+27=94
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[67, 2, 12], Operations: ['39-27=12']
Exploring Operation: 67+2=69, Resulting Numbers: [12, 69]
Generated Node #0,0,0: 91:[12, 69] Operation: 67+2=69
Exploring Operation: 67+12=79, Resulting Numbers: [2, 79]
Generated Node #0,0,1: 91:[2, 79] Operation: 67+12=79
Exploring Operation: 12/2=6, Resulting Numbers: [67, 6]
Generated Node #0,0,2: 91:[67, 6] Operation: 12/2=6
Exploring Operation: 2+12=14, Resulting Numbers: [67, 14]
Generated Node #0,0,3: 91:[67, 14] Operation: 2+12=14
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[2, 79], Operations: ['39-27=12', '67+12=79']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,91 unequal: No Solution
Exploring Operation: 2+79=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Exploring Operation: 2*79=158, Resulting Numbers: [158]
158,91 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:[12, 69], Operations: ['39-27=12', '67+2=69']
Exploring Operation: 12+69=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Exploring Operation: 12*69=828, Resulting Numbers: [828]
828,91 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,91 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:[67, 6], Operations: ['39-27=12', '12/2=6']
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,91 unequal: No Solution
Exploring Operation: 67*6=402, Resulting Numbers: [402]
402,91 unequal: No Solution
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,91 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 #0,0,3
Current State: 91:[67, 14], Operations: ['39-27=12', '2+12=14']
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,91 unequal: No Solution
Exploring Operation: 67*14=938, Resulting Numbers: [938]
938,91 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:[2, 27, 28], Operations: ['67-39=28']
Exploring Operation: 28-2=26, Resulting Numbers: [27, 26]
Generated Node #0,1,0: 91:[27, 26] Operation: 28-2=26
Exploring Operation: 27-2=25, Resulting Numbers: [28, 25]
Generated Node #0,1,1: 91:[28, 25] Operation: 27-2=25
Exploring Operation: 28/2=14, Resulting Numbers: [27, 14]
Generated Node #0,1,2: 91:[27, 14] Operation: 28/2=14
Exploring Operation: 28-27=1, Resulting Numbers: [2, 1]
Generated Node #0,1,3: 91:[2, 1] Operation: 28-27=1
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 91:[2, 1], Operations: ['67-39=28', '28-27=1']
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,91 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 #0,1,2
Current State: 91:[27, 14], Operations: ['67-39=28', '28/2=14']
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,91 unequal: No Solution
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,91 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 #0,1,0
Current State: 91:[27, 26], Operations: ['67-39=28', '28-2=26']
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 27*26=702, Resulting Numbers: [702]
702,91 unequal: No Solution
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,91 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 #0,1,1
Current State: 91:[28, 25], Operations: ['67-39=28', '27-2=25']
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,91 unequal: No Solution
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,91 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,91 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 #0,2
Current State: 91:[2, 27, 106], Operations: ['39+67=106']
Exploring Operation: 27-2=25, Resulting Numbers: [106, 25]
Generated Node #0,2,0: 91:[106, 25] Operation: 27-2=25
Exploring Operation: 2+27=29, Resulting Numbers: [106, 29]
Generated Node #0,2,1: 91:[106, 29] Operation: 2+27=29
Exploring Operation: 106-27=79, Resulting Numbers: [2, 79]
Generated Node #0,2,2: 91:[2, 79] Operation: 106-27=79
Exploring Operation: 106-2=104, Resulting Numbers: [27, 104]
Generated Node #0,2,3: 91:[27, 104] Operation: 106-2=104
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 91:[2, 79], Operations: ['39+67=106', '106-27=79']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,91 unequal: No Solution
Exploring Operation: 2*79=158, Resulting Numbers: [158]
158,91 unequal: No Solution
Exploring Operation: 2+79=81, Resulting Numbers: [81]
81,91 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 #0,2,0
Current State: 91:[106, 25], Operations: ['39+67=106', '27-2=25']
Exploring Operation: 106*25=2650, Resulting Numbers: [2650]
2650,91 unequal: No Solution
Exploring Operation: 106+25=131, Resulting Numbers: [131]
131,91 unequal: No Solution
Exploring Operation: 106-25=81, Resulting Numbers: [81]
81,91 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 #0,2,3
Current State: 91:[27, 104], Operations: ['39+67=106', '106-2=104']
Exploring Operation: 27*104=2808, Resulting Numbers: [2808]
2808,91 unequal: No Solution
Exploring Operation: 27+104=131, Resulting Numbers: [131]
131,91 unequal: No Solution
Exploring Operation: 104-27=77, Resulting Numbers: [77]
77,91 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 #0,2,1
Current State: 91:[106, 29], Operations: ['39+67=106', '2+27=29']
Exploring Operation: 106*29=3074, Resulting Numbers: [3074]
3074,91 unequal: No Solution
Exploring Operation: 106-29=77, Resulting Numbers: [77]
77,91 unequal: No Solution
Exploring Operation: 106+29=135, Resulting Numbers: [135]
135,91 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 #0,3
Current State: 91:[39, 2, 94], Operations: ['67+27=94']
Exploring Operation: 39+2=41, Resulting Numbers: [94, 41]
Generated Node #0,3,0: 91:[94, 41] Operation: 39+2=41
Exploring Operation: 39-2=37, Resulting Numbers: [94, 37]
Generated Node #0,3,1: 91:[94, 37] Operation: 39-2=37
Exploring Operation: 39*2=78, Resulting Numbers: [94, 78]
Generated Node #0,3,2: 91:[94, 78] Operation: 39*2=78
Exploring Operation: 94-2=92, Resulting Numbers: [39, 92]
Generated Node #0,3,3: 91:[39, 92] Operation: 94-2=92
Moving to Node #0,3,2
Current State: 91:[94, 78], Operations: ['67+27=94', '39*2=78']
Exploring Operation: 94-78=16, Resulting Numbers: [16]
16,91 unequal: No Solution
Exploring Operation: 94*78=7332, Resulting Numbers: [7332]
7332,91 unequal: No Solution
Exploring Operation: 94+78=172, Resulting Numbers: [172]
172,91 unequal: No Solution
Moving to Node #0,3,3
Current State: 91:[39, 92], Operations: ['67+27=94', '94-2=92']
Exploring Operation: 39+92=131, Resulting Numbers: [131]
131,91 unequal: No Solution
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,91 unequal: No Solution
Exploring Operation: 39*92=3588, Resulting Numbers: [3588]
3588,91 unequal: No Solution
Moving to Node #0,3,1
Current State: 91:[94, 37], Operations: ['67+27=94', '39-2=37']
Exploring Operation: 94-37=57, Resulting Numbers: [57]
57,91 unequal: No Solution
Exploring Operation: 94+37=131, Resulting Numbers: [131]
131,91 unequal: No Solution
Exploring Operation: 94*37=3478, Resulting Numbers: [3478]
3478,91 unequal: No Solution
Moving to Node #0,3,0
Current State: 91:[94, 41], Operations: ['67+27=94', '39+2=41']
Exploring Operation: 94+41=135, Resulting Numbers: [135]
135,91 unequal: No Solution
Exploring Operation: 94*41=3854, Resulting Numbers: [3854]
3854,91 unequal: No Solution
Exploring Operation: 94-41=53, Resulting Numbers: [53]
53,91 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 |
[
2,
65,
12,
8
] | 43 | [
"65-2=63",
"12+8=20",
"63-20=43"
] | Current State: 43:[2, 65, 12, 8], Operations: []
Exploring Operation: 65-2=63, Resulting Numbers: [12, 8, 63]
Generated Node #2: [12, 8, 63] from Operation: 65-2=63
Current State: 43:[12, 8, 63], Operations: ['65-2=63']
Exploring Operation: 12+8=20, Resulting Numbers: [63, 20]
Generated Node #3: [63, 20] from Operation: 12+8=20
Current State: 43:[63, 20], Operations: ['65-2=63', '12+8=20']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[2, 65, 12, 8], Operations: []
Exploring Operation: 2*8=16, Resulting Numbers: [65, 12, 16]
Generated Node #0,0: 43:[65, 12, 16] Operation: 2*8=16
Exploring Operation: 2*12=24, Resulting Numbers: [65, 8, 24]
Generated Node #0,1: 43:[65, 8, 24] Operation: 2*12=24
Exploring Operation: 2+12=14, Resulting Numbers: [65, 8, 14]
Generated Node #0,2: 43:[65, 8, 14] Operation: 2+12=14
Exploring Operation: 65-2=63, Resulting Numbers: [12, 8, 63]
Generated Node #0,3: 43:[12, 8, 63] Operation: 65-2=63
Exploring Operation: 2+8=10, Resulting Numbers: [65, 12, 10]
Generated Node #0,4: 43:[65, 12, 10] Operation: 2+8=10
Moving to Node #0,1
Current State: 43:[65, 8, 24], Operations: ['2*12=24']
Exploring Operation: 24-8=16, Resulting Numbers: [65, 16]
Generated Node #0,1,0: 43:[65, 16] Operation: 24-8=16
Exploring Operation: 8+24=32, Resulting Numbers: [65, 32]
Generated Node #0,1,1: 43:[65, 32] Operation: 8+24=32
Exploring Operation: 65+8=73, Resulting Numbers: [24, 73]
Generated Node #0,1,2: 43:[24, 73] Operation: 65+8=73
Exploring Operation: 65-8=57, Resulting Numbers: [24, 57]
Generated Node #0,1,3: 43:[24, 57] Operation: 65-8=57
Exploring Operation: 65-24=41, Resulting Numbers: [8, 41]
Generated Node #0,1,4: 43:[8, 41] Operation: 65-24=41
Moving to Node #0,0
Current State: 43:[65, 12, 16], Operations: ['2*8=16']
Exploring Operation: 12+16=28, Resulting Numbers: [65, 28]
Generated Node #0,0,0: 43:[65, 28] Operation: 12+16=28
Exploring Operation: 65+12=77, Resulting Numbers: [16, 77]
Generated Node #0,0,1: 43:[16, 77] Operation: 65+12=77
Exploring Operation: 65-16=49, Resulting Numbers: [12, 49]
Generated Node #0,0,2: 43:[12, 49] Operation: 65-16=49
Exploring Operation: 65-12=53, Resulting Numbers: [16, 53]
Generated Node #0,0,3: 43:[16, 53] Operation: 65-12=53
Exploring Operation: 16-12=4, Resulting Numbers: [65, 4]
Generated Node #0,0,4: 43:[65, 4] Operation: 16-12=4
Moving to Node #0,2
Current State: 43:[65, 8, 14], Operations: ['2+12=14']
Exploring Operation: 14-8=6, Resulting Numbers: [65, 6]
Generated Node #0,2,0: 43:[65, 6] Operation: 14-8=6
Exploring Operation: 65-8=57, Resulting Numbers: [14, 57]
Generated Node #0,2,1: 43:[14, 57] Operation: 65-8=57
Exploring Operation: 65-14=51, Resulting Numbers: [8, 51]
Generated Node #0,2,2: 43:[8, 51] Operation: 65-14=51
Exploring Operation: 65+8=73, Resulting Numbers: [14, 73]
Generated Node #0,2,3: 43:[14, 73] Operation: 65+8=73
Exploring Operation: 8+14=22, Resulting Numbers: [65, 22]
Generated Node #0,2,4: 43:[65, 22] Operation: 8+14=22
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 43:[14, 57], Operations: ['2+12=14', '65-8=57']
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[2, 65, 12, 8], Operations: []
Exploring Operation: 2+12=14, Resulting Numbers: [65, 8, 14]
Generated Node #0,2: 43:[65, 8, 14] Operation: 2+12=14
Moving to Node #0,2
Current State: 43:[65, 8, 14], Operations: ['2+12=14']
Exploring Operation: 65-8=57, Resulting Numbers: [14, 57]
Generated Node #0,2,1: 43:[14, 57] Operation: 65-8=57
Moving to Node #0,2,1
Current State: 43:[14, 57], Operations: ['2+12=14', '65-8=57']
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
25,
17,
75,
23
] | 52 | [
"75/25=3",
"23*3=69",
"69-17=52"
] | Current State: 52:[25, 17, 75, 23], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [17, 23, 3]
Generated Node #2: [17, 23, 3] from Operation: 75/25=3
Current State: 52:[17, 23, 3], Operations: ['75/25=3']
Exploring Operation: 23*3=69, Resulting Numbers: [17, 69]
Generated Node #3: [17, 69] from Operation: 23*3=69
Current State: 52:[17, 69], Operations: ['75/25=3', '23*3=69']
Exploring Operation: 69-17=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[25, 17, 75, 23], Operations: []
Exploring Operation: 75-23=52, Resulting Numbers: [25, 17, 52]
Generated Node #0,0: 52:[25, 17, 52] Operation: 75-23=52
Exploring Operation: 75-25=50, Resulting Numbers: [17, 23, 50]
Generated Node #0,1: 52:[17, 23, 50] Operation: 75-25=50
Exploring Operation: 75-17=58, Resulting Numbers: [25, 23, 58]
Generated Node #0,2: 52:[25, 23, 58] Operation: 75-17=58
Exploring Operation: 75/25=3, Resulting Numbers: [17, 23, 3]
Generated Node #0,3: 52:[17, 23, 3] Operation: 75/25=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[25, 17, 52], Operations: ['75-23=52']
Exploring Operation: 25+17=42, Resulting Numbers: [52, 42]
Generated Node #0,0,0: 52:[52, 42] Operation: 25+17=42
Exploring Operation: 25-17=8, Resulting Numbers: [52, 8]
Generated Node #0,0,1: 52:[52, 8] Operation: 25-17=8
Exploring Operation: 52-17=35, Resulting Numbers: [25, 35]
Generated Node #0,0,2: 52:[25, 35] Operation: 52-17=35
Exploring Operation: 52-25=27, Resulting Numbers: [17, 27]
Generated Node #0,0,3: 52:[17, 27] Operation: 52-25=27
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[52, 8], Operations: ['75-23=52', '25-17=8']
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 52*8=416, Resulting Numbers: [416]
416,52 unequal: No Solution
Exploring Operation: 52+8=60, Resulting Numbers: [60]
60,52 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: 52:[17, 27], Operations: ['75-23=52', '52-25=27']
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,52 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,52 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: 52:[52, 42], Operations: ['75-23=52', '25+17=42']
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 52*42=2184, Resulting Numbers: [2184]
2184,52 unequal: No Solution
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,52 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: 52:[25, 35], Operations: ['75-23=52', '52-17=35']
Exploring Operation: 25*35=875, Resulting Numbers: [875]
875,52 unequal: No Solution
Exploring Operation: 25+35=60, Resulting Numbers: [60]
60,52 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,52 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: 52:[17, 23, 3], Operations: ['75/25=3']
Exploring Operation: 23-17=6, Resulting Numbers: [3, 6]
Generated Node #0,3,0: 52:[3, 6] Operation: 23-17=6
Exploring Operation: 17*3=51, Resulting Numbers: [23, 51]
Generated Node #0,3,1: 52:[23, 51] Operation: 17*3=51
Exploring Operation: 17-3=14, Resulting Numbers: [23, 14]
Generated Node #0,3,2: 52:[23, 14] Operation: 17-3=14
Exploring Operation: 23+3=26, Resulting Numbers: [17, 26]
Generated Node #0,3,3: 52:[17, 26] Operation: 23+3=26
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 52:[3, 6], Operations: ['75/25=3', '23-17=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,52 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: 52:[23, 51], Operations: ['75/25=3', '17*3=51']
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,52 unequal: No Solution
Exploring Operation: 23*51=1173, Resulting Numbers: [1173]
1173,52 unequal: No Solution
Exploring Operation: 23+51=74, Resulting Numbers: [74]
74,52 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: 52:[23, 14], Operations: ['75/25=3', '17-3=14']
Exploring Operation: 23*14=322, Resulting Numbers: [322]
322,52 unequal: No Solution
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,52 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: 52:[17, 26], Operations: ['75/25=3', '23+3=26']
Exploring Operation: 17*26=442, Resulting Numbers: [442]
442,52 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 17+26=43, Resulting Numbers: [43]
43,52 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: 52:[17, 23, 50], Operations: ['75-25=50']
Exploring Operation: 23-17=6, Resulting Numbers: [50, 6]
Generated Node #0,1,0: 52:[50, 6] Operation: 23-17=6
Exploring Operation: 50-23=27, Resulting Numbers: [17, 27]
Generated Node #0,1,1: 52:[17, 27] Operation: 50-23=27
Exploring Operation: 17+23=40, Resulting Numbers: [50, 40]
Generated Node #0,1,2: 52:[50, 40] Operation: 17+23=40
Exploring Operation: 50-17=33, Resulting Numbers: [23, 33]
Generated Node #0,1,3: 52:[23, 33] Operation: 50-17=33
Moving to Node #0,1,0
Current State: 52:[50, 6], Operations: ['75-25=50', '23-17=6']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 50*6=300, Resulting Numbers: [300]
300,52 unequal: No Solution
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[17, 27], Operations: ['75-25=50', '50-23=27']
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[23, 33], Operations: ['75-25=50', '50-17=33']
Exploring Operation: 23*33=759, Resulting Numbers: [759]
759,52 unequal: No Solution
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 23+33=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[50, 40], Operations: ['75-25=50', '17+23=40']
Exploring Operation: 50*40=2000, Resulting Numbers: [2000]
2000,52 unequal: No Solution
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 50+40=90, Resulting Numbers: [90]
90,52 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: 52:[25, 23, 58], Operations: ['75-17=58']
Exploring Operation: 25+23=48, Resulting Numbers: [58, 48]
Generated Node #0,2,0: 52:[58, 48] Operation: 25+23=48
Exploring Operation: 25-23=2, Resulting Numbers: [58, 2]
Generated Node #0,2,1: 52:[58, 2] Operation: 25-23=2
Exploring Operation: 58-25=33, Resulting Numbers: [23, 33]
Generated Node #0,2,2: 52:[23, 33] Operation: 58-25=33
Exploring Operation: 58-23=35, Resulting Numbers: [25, 35]
Generated Node #0,2,3: 52:[25, 35] Operation: 58-23=35
Moving to Node #0,2,1
Current State: 52:[58, 2], Operations: ['75-17=58', '25-23=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,52 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Exploring Operation: 58*2=116, Resulting Numbers: [116]
116,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[23, 33], Operations: ['75-17=58', '58-25=33']
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 23*33=759, Resulting Numbers: [759]
759,52 unequal: No Solution
Exploring Operation: 23+33=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[58, 48], Operations: ['75-17=58', '25+23=48']
Exploring Operation: 58+48=106, Resulting Numbers: [106]
106,52 unequal: No Solution
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 58*48=2784, Resulting Numbers: [2784]
2784,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[25, 35], Operations: ['75-17=58', '58-23=35']
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 25+35=60, Resulting Numbers: [60]
60,52 unequal: No Solution
Exploring Operation: 25*35=875, Resulting Numbers: [875]
875,52 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 |
[
55,
74,
74,
2
] | 27 | [
"74/74=1",
"55-1=54",
"54/2=27"
] | Current State: 27:[55, 74, 74, 2], Operations: []
Exploring Operation: 74/74=1, Resulting Numbers: [55, 2, 1]
Generated Node #2: [55, 2, 1] from Operation: 74/74=1
Current State: 27:[55, 2, 1], Operations: ['74/74=1']
Exploring Operation: 55-1=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 55-1=54
Current State: 27:[2, 54], Operations: ['74/74=1', '55-1=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[55, 74, 74, 2], Operations: []
Exploring Operation: 74-74=0, Resulting Numbers: [55, 2, 0]
Generated Node #0,0: 27:[55, 2, 0] Operation: 74-74=0
Exploring Operation: 74/74=1, Resulting Numbers: [55, 2, 1]
Generated Node #0,1: 27:[55, 2, 1] Operation: 74/74=1
Exploring Operation: 74-55=19, Resulting Numbers: [74, 2, 19]
Generated Node #0,2: 27:[74, 2, 19] Operation: 74-55=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[55, 2, 1], Operations: ['74/74=1']
Exploring Operation: 2+1=3, Resulting Numbers: [55, 3]
Generated Node #0,1,0: 27:[55, 3] Operation: 2+1=3
Exploring Operation: 55-2=53, Resulting Numbers: [1, 53]
Generated Node #0,1,1: 27:[1, 53] Operation: 55-2=53
Exploring Operation: 55-1=54, Resulting Numbers: [2, 54]
Generated Node #0,1,2: 27:[2, 54] Operation: 55-1=54
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 27:[55, 3], Operations: ['74/74=1', '2+1=3']
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 55*3=165, Resulting Numbers: [165]
165,27 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,27 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 #0,1,1
Current State: 27:[1, 53], Operations: ['74/74=1', '55-2=53']
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,27 unequal: No Solution
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 1*53=53, Resulting Numbers: [53]
53,27 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 #0,1,2
Current State: 27:[2, 54], Operations: ['74/74=1', '55-1=54']
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,27 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[55, 74, 74, 2], Operations: []
Exploring Operation: 74/74=1, Resulting Numbers: [55, 2, 1]
Generated Node #0,1: 27:[55, 2, 1] Operation: 74/74=1
Moving to Node #0,1
Current State: 27:[55, 2, 1], Operations: ['74/74=1']
Exploring Operation: 55-1=54, Resulting Numbers: [2, 54]
Generated Node #0,1,2: 27:[2, 54] Operation: 55-1=54
Moving to Node #0,1,2
Current State: 27:[2, 54], Operations: ['74/74=1', '55-1=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
9,
29,
94,
28
] | 46 | [
"29-9=20",
"94-28=66",
"66-20=46"
] | Current State: 46:[9, 29, 94, 28], Operations: []
Exploring Operation: 29-9=20, Resulting Numbers: [94, 28, 20]
Generated Node #2: [94, 28, 20] from Operation: 29-9=20
Current State: 46:[94, 28, 20], Operations: ['29-9=20']
Exploring Operation: 94-28=66, Resulting Numbers: [20, 66]
Generated Node #3: [20, 66] from Operation: 94-28=66
Current State: 46:[20, 66], Operations: ['29-9=20', '94-28=66']
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[9, 29, 94, 28], Operations: []
Exploring Operation: 94-9=85, Resulting Numbers: [29, 28, 85]
Generated Node #0,0: 46:[29, 28, 85] Operation: 94-9=85
Exploring Operation: 94-28=66, Resulting Numbers: [9, 29, 66]
Generated Node #0,1: 46:[9, 29, 66] Operation: 94-28=66
Exploring Operation: 94-29=65, Resulting Numbers: [9, 28, 65]
Generated Node #0,2: 46:[9, 28, 65] Operation: 94-29=65
Moving to Node #0,2
Current State: 46:[9, 28, 65], Operations: ['94-29=65']
Exploring Operation: 28-9=19, Resulting Numbers: [65, 19]
Generated Node #0,2,0: 46:[65, 19] Operation: 28-9=19
Exploring Operation: 65-9=56, Resulting Numbers: [28, 56]
Generated Node #0,2,1: 46:[28, 56] Operation: 65-9=56
Exploring Operation: 65-28=37, Resulting Numbers: [9, 37]
Generated Node #0,2,2: 46:[9, 37] Operation: 65-28=37
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 46:[28, 56], Operations: ['94-29=65', '65-9=56']
Exploring Operation: 56/28=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 28+56=84, Resulting Numbers: [84]
84,46 unequal: No Solution
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,46 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 #0,2,2
Current State: 46:[9, 37], Operations: ['94-29=65', '65-28=37']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[9, 29, 94, 28], Operations: []
Exploring Operation: 94-29=65, Resulting Numbers: [9, 28, 65]
Generated Node #0,2: 46:[9, 28, 65] Operation: 94-29=65
Moving to Node #0,2
Current State: 46:[9, 28, 65], Operations: ['94-29=65']
Exploring Operation: 65-28=37, Resulting Numbers: [9, 37]
Generated Node #0,2,2: 46:[9, 37] Operation: 65-28=37
Moving to Node #0,2,2
Current State: 46:[9, 37], Operations: ['94-29=65', '65-28=37']
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
54,
13,
58,
21
] | 71 | [
"58-54=4",
"21*4=84",
"84-13=71"
] | Current State: 71:[54, 13, 58, 21], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [13, 21, 4]
Generated Node #2: [13, 21, 4] from Operation: 58-54=4
Current State: 71:[13, 21, 4], Operations: ['58-54=4']
Exploring Operation: 21*4=84, Resulting Numbers: [13, 84]
Generated Node #3: [13, 84] from Operation: 21*4=84
Current State: 71:[13, 84], Operations: ['58-54=4', '21*4=84']
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[54, 13, 58, 21], Operations: []
Exploring Operation: 54+13=67, Resulting Numbers: [58, 21, 67]
Generated Node #0,0: 71:[58, 21, 67] Operation: 54+13=67
Exploring Operation: 13+21=34, Resulting Numbers: [54, 58, 34]
Generated Node #0,1: 71:[54, 58, 34] Operation: 13+21=34
Exploring Operation: 54+21=75, Resulting Numbers: [13, 58, 75]
Generated Node #0,2: 71:[13, 58, 75] Operation: 54+21=75
Exploring Operation: 13+58=71, Resulting Numbers: [54, 21, 71]
Generated Node #0,3: 71:[54, 21, 71] Operation: 13+58=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[58, 21, 67], Operations: ['54+13=67']
Exploring Operation: 58-21=37, Resulting Numbers: [67, 37]
Generated Node #0,0,0: 71:[67, 37] Operation: 58-21=37
Exploring Operation: 58+21=79, Resulting Numbers: [67, 79]
Generated Node #0,0,1: 71:[67, 79] Operation: 58+21=79
Exploring Operation: 21+67=88, Resulting Numbers: [58, 88]
Generated Node #0,0,2: 71:[58, 88] Operation: 21+67=88
Exploring Operation: 67-21=46, Resulting Numbers: [58, 46]
Generated Node #0,0,3: 71:[58, 46] Operation: 67-21=46
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 71:[67, 79], Operations: ['54+13=67', '58+21=79']
Exploring Operation: 79-67=12, Resulting Numbers: [12]
12,71 unequal: No Solution
Exploring Operation: 67*79=5293, Resulting Numbers: [5293]
5293,71 unequal: No Solution
Exploring Operation: 67+79=146, Resulting Numbers: [146]
146,71 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: 71:[58, 88], Operations: ['54+13=67', '21+67=88']
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,71 unequal: No Solution
Exploring Operation: 58+88=146, Resulting Numbers: [146]
146,71 unequal: No Solution
Exploring Operation: 58*88=5104, Resulting Numbers: [5104]
5104,71 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: 71:[67, 37], Operations: ['54+13=67', '58-21=37']
Exploring Operation: 67*37=2479, Resulting Numbers: [2479]
2479,71 unequal: No Solution
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,71 unequal: No Solution
Exploring Operation: 67+37=104, Resulting Numbers: [104]
104,71 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: 71:[58, 46], Operations: ['54+13=67', '67-21=46']
Exploring Operation: 58-46=12, Resulting Numbers: [12]
12,71 unequal: No Solution
Exploring Operation: 58+46=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Exploring Operation: 58*46=2668, Resulting Numbers: [2668]
2668,71 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: 71:[54, 58, 34], Operations: ['13+21=34']
Exploring Operation: 54+34=88, Resulting Numbers: [58, 88]
Generated Node #0,1,0: 71:[58, 88] Operation: 54+34=88
Exploring Operation: 54-34=20, Resulting Numbers: [58, 20]
Generated Node #0,1,1: 71:[58, 20] Operation: 54-34=20
Exploring Operation: 58-34=24, Resulting Numbers: [54, 24]
Generated Node #0,1,2: 71:[54, 24] Operation: 58-34=24
Exploring Operation: 58+34=92, Resulting Numbers: [54, 92]
Generated Node #0,1,3: 71:[54, 92] Operation: 58+34=92
Moving to Node #0,1,0
Current State: 71:[58, 88], Operations: ['13+21=34', '54+34=88']
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,71 unequal: No Solution
Exploring Operation: 58+88=146, Resulting Numbers: [146]
146,71 unequal: No Solution
Exploring Operation: 58*88=5104, Resulting Numbers: [5104]
5104,71 unequal: No Solution
Moving to Node #0,1,3
Current State: 71:[54, 92], Operations: ['13+21=34', '58+34=92']
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,71 unequal: No Solution
Exploring Operation: 54*92=4968, Resulting Numbers: [4968]
4968,71 unequal: No Solution
Exploring Operation: 54+92=146, Resulting Numbers: [146]
146,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[54, 24], Operations: ['13+21=34', '58-34=24']
Exploring Operation: 54+24=78, Resulting Numbers: [78]
78,71 unequal: No Solution
Exploring Operation: 54*24=1296, Resulting Numbers: [1296]
1296,71 unequal: No Solution
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[58, 20], Operations: ['13+21=34', '54-34=20']
Exploring Operation: 58*20=1160, Resulting Numbers: [1160]
1160,71 unequal: No Solution
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,71 unequal: No Solution
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,71 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: 71:[54, 21, 71], Operations: ['13+58=71']
Exploring Operation: 54-21=33, Resulting Numbers: [71, 33]
Generated Node #0,3,0: 71:[71, 33] Operation: 54-21=33
Exploring Operation: 54+21=75, Resulting Numbers: [71, 75]
Generated Node #0,3,1: 71:[71, 75] Operation: 54+21=75
Exploring Operation: 21+71=92, Resulting Numbers: [54, 92]
Generated Node #0,3,2: 71:[54, 92] Operation: 21+71=92
Exploring Operation: 71-21=50, Resulting Numbers: [54, 50]
Generated Node #0,3,3: 71:[54, 50] Operation: 71-21=50
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 71:[71, 75], Operations: ['13+58=71', '54+21=75']
Exploring Operation: 71*75=5325, Resulting Numbers: [5325]
5325,71 unequal: No Solution
Exploring Operation: 71+75=146, Resulting Numbers: [146]
146,71 unequal: No Solution
Exploring Operation: 75-71=4, Resulting Numbers: [4]
4,71 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: 71:[71, 33], Operations: ['13+58=71', '54-21=33']
Exploring Operation: 71*33=2343, Resulting Numbers: [2343]
2343,71 unequal: No Solution
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,71 unequal: No Solution
Exploring Operation: 71+33=104, Resulting Numbers: [104]
104,71 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: 71:[54, 92], Operations: ['13+58=71', '21+71=92']
Exploring Operation: 54+92=146, Resulting Numbers: [146]
146,71 unequal: No Solution
Exploring Operation: 54*92=4968, Resulting Numbers: [4968]
4968,71 unequal: No Solution
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,71 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: 71:[54, 50], Operations: ['13+58=71', '71-21=50']
Exploring Operation: 54+50=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,71 unequal: No Solution
Exploring Operation: 54*50=2700, Resulting Numbers: [2700]
2700,71 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: 71:[13, 58, 75], Operations: ['54+21=75']
Exploring Operation: 13+75=88, Resulting Numbers: [58, 88]
Generated Node #0,2,0: 71:[58, 88] Operation: 13+75=88
Exploring Operation: 13+58=71, Resulting Numbers: [75, 71]
Generated Node #0,2,1: 71:[75, 71] Operation: 13+58=71
Exploring Operation: 75-13=62, Resulting Numbers: [58, 62]
Generated Node #0,2,2: 71:[58, 62] Operation: 75-13=62
Exploring Operation: 58-13=45, Resulting Numbers: [75, 45]
Generated Node #0,2,3: 71:[75, 45] Operation: 58-13=45
Moving to Node #0,2,1
Current State: 71:[75, 71], Operations: ['54+21=75', '13+58=71']
Exploring Operation: 75+71=146, Resulting Numbers: [146]
146,71 unequal: No Solution
Exploring Operation: 75*71=5325, Resulting Numbers: [5325]
5325,71 unequal: No Solution
Exploring Operation: 75-71=4, Resulting Numbers: [4]
4,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[58, 62], Operations: ['54+21=75', '75-13=62']
Exploring Operation: 58*62=3596, Resulting Numbers: [3596]
3596,71 unequal: No Solution
Exploring Operation: 62-58=4, Resulting Numbers: [4]
4,71 unequal: No Solution
Exploring Operation: 58+62=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Moving to Node #0,2,3
Current State: 71:[75, 45], Operations: ['54+21=75', '58-13=45']
Exploring Operation: 75+45=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 75*45=3375, Resulting Numbers: [3375]
3375,71 unequal: No Solution
Exploring Operation: 75-45=30, Resulting Numbers: [30]
30,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[58, 88], Operations: ['54+21=75', '13+75=88']
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,71 unequal: No Solution
Exploring Operation: 58+88=146, Resulting Numbers: [146]
146,71 unequal: No Solution
Exploring Operation: 58*88=5104, Resulting Numbers: [5104]
5104,71 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 |
[
1,
9,
19,
36
] | 46 | [
"1*9=9",
"19+36=55",
"55-9=46"
] | Current State: 46:[1, 9, 19, 36], Operations: []
Exploring Operation: 1*9=9, Resulting Numbers: [19, 36, 9]
Generated Node #2: [19, 36, 9] from Operation: 1*9=9
Current State: 46:[19, 36, 9], Operations: ['1*9=9']
Exploring Operation: 19+36=55, Resulting Numbers: [9, 55]
Generated Node #3: [9, 55] from Operation: 19+36=55
Current State: 46:[9, 55], Operations: ['1*9=9', '19+36=55']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[1, 9, 19, 36], Operations: []
Exploring Operation: 36/9=4, Resulting Numbers: [1, 19, 4]
Generated Node #0,0: 46:[1, 19, 4] Operation: 36/9=4
Exploring Operation: 9+36=45, Resulting Numbers: [1, 19, 45]
Generated Node #0,1: 46:[1, 19, 45] Operation: 9+36=45
Exploring Operation: 36-9=27, Resulting Numbers: [1, 19, 27]
Generated Node #0,2: 46:[1, 19, 27] Operation: 36-9=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[1, 19, 45], Operations: ['9+36=45']
Exploring Operation: 45-19=26, Resulting Numbers: [1, 26]
Generated Node #0,1,0: 46:[1, 26] Operation: 45-19=26
Exploring Operation: 1+19=20, Resulting Numbers: [45, 20]
Generated Node #0,1,1: 46:[45, 20] Operation: 1+19=20
Exploring Operation: 1+45=46, Resulting Numbers: [19, 46]
Generated Node #0,1,2: 46:[19, 46] Operation: 1+45=46
Moving to Node #0,1,0
Current State: 46:[1, 26], Operations: ['9+36=45', '45-19=26']
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[45, 20], Operations: ['9+36=45', '1+19=20']
Exploring Operation: 45*20=900, Resulting Numbers: [900]
900,46 unequal: No Solution
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 45+20=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Moving to Node #0,1,2
Current State: 46:[19, 46], Operations: ['9+36=45', '1+45=46']
Exploring Operation: 19*46=874, Resulting Numbers: [874]
874,46 unequal: No Solution
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 19+46=65, Resulting Numbers: [65]
65,46 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 #0,0
Current State: 46:[1, 19, 4], Operations: ['36/9=4']
Exploring Operation: 1+19=20, Resulting Numbers: [4, 20]
Generated Node #0,0,0: 46:[4, 20] Operation: 1+19=20
Exploring Operation: 4-1=3, Resulting Numbers: [19, 3]
Generated Node #0,0,1: 46:[19, 3] Operation: 4-1=3
Exploring Operation: 19+4=23, Resulting Numbers: [1, 23]
Generated Node #0,0,2: 46:[1, 23] Operation: 19+4=23
Moving to Node #0,0,2
Current State: 46:[1, 23], Operations: ['36/9=4', '19+4=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[4, 20], Operations: ['36/9=4', '1+19=20']
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,46 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[19, 3], Operations: ['36/9=4', '4-1=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,46 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:[1, 19, 27], Operations: ['36-9=27']
Exploring Operation: 1+19=20, Resulting Numbers: [27, 20]
Generated Node #0,2,0: 46:[27, 20] Operation: 1+19=20
Exploring Operation: 27-1=26, Resulting Numbers: [19, 26]
Generated Node #0,2,1: 46:[19, 26] Operation: 27-1=26
Exploring Operation: 19+27=46, Resulting Numbers: [1, 46]
Generated Node #0,2,2: 46:[1, 46] Operation: 19+27=46
Moving to Node #0,2,2
Current State: 46:[1, 46], Operations: ['36-9=27', '19+27=46']
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[1, 9, 19, 36], Operations: []
Exploring Operation: 36-9=27, Resulting Numbers: [1, 19, 27]
Generated Node #0,2: 46:[1, 19, 27] Operation: 36-9=27
Moving to Node #0,2
Current State: 46:[1, 19, 27], Operations: ['36-9=27']
Exploring Operation: 19+27=46, Resulting Numbers: [1, 46]
Generated Node #0,2,2: 46:[1, 46] Operation: 19+27=46
Moving to Node #0,2,2
Current State: 46:[1, 46], Operations: ['36-9=27', '19+27=46']
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
22,
13,
64,
74
] | 90 | [
"22-13=9",
"74-64=10",
"9*10=90"
] | Current State: 90:[22, 13, 64, 74], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [64, 74, 9]
Generated Node #2: [64, 74, 9] from Operation: 22-13=9
Current State: 90:[64, 74, 9], Operations: ['22-13=9']
Exploring Operation: 74-64=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 74-64=10
Current State: 90:[9, 10], Operations: ['22-13=9', '74-64=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[22, 13, 64, 74], Operations: []
Exploring Operation: 64-22=42, Resulting Numbers: [13, 74, 42]
Generated Node #0,0: 90:[13, 74, 42] Operation: 64-22=42
Exploring Operation: 74-64=10, Resulting Numbers: [22, 13, 10]
Generated Node #0,1: 90:[22, 13, 10] Operation: 74-64=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[22, 13, 10], Operations: ['74-64=10']
Exploring Operation: 22+10=32, Resulting Numbers: [13, 32]
Generated Node #0,1,0: 90:[13, 32] Operation: 22+10=32
Exploring Operation: 22-13=9, Resulting Numbers: [10, 9]
Generated Node #0,1,1: 90:[10, 9] Operation: 22-13=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 90:[10, 9], Operations: ['74-64=10', '22-13=9']
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[22, 13, 64, 74], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [22, 13, 10]
Generated Node #0,1: 90:[22, 13, 10] Operation: 74-64=10
Moving to Node #0,1
Current State: 90:[22, 13, 10], Operations: ['74-64=10']
Exploring Operation: 22-13=9, Resulting Numbers: [10, 9]
Generated Node #0,1,1: 90:[10, 9] Operation: 22-13=9
Moving to Node #0,1,1
Current State: 90:[10, 9], Operations: ['74-64=10', '22-13=9']
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
68,
72,
20,
25
] | 55 | [
"72-68=4",
"20*4=80",
"80-25=55"
] | Current State: 55:[68, 72, 20, 25], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [20, 25, 4]
Generated Node #2: [20, 25, 4] from Operation: 72-68=4
Current State: 55:[20, 25, 4], Operations: ['72-68=4']
Exploring Operation: 20*4=80, Resulting Numbers: [25, 80]
Generated Node #3: [25, 80] from Operation: 20*4=80
Current State: 55:[25, 80], Operations: ['72-68=4', '20*4=80']
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[68, 72, 20, 25], Operations: []
Exploring Operation: 72-25=47, Resulting Numbers: [68, 20, 47]
Generated Node #0,0: 55:[68, 20, 47] Operation: 72-25=47
Exploring Operation: 72-68=4, Resulting Numbers: [20, 25, 4]
Generated Node #0,1: 55:[20, 25, 4] Operation: 72-68=4
Exploring Operation: 72-20=52, Resulting Numbers: [68, 25, 52]
Generated Node #0,2: 55:[68, 25, 52] Operation: 72-20=52
Exploring Operation: 25-20=5, Resulting Numbers: [68, 72, 5]
Generated Node #0,3: 55:[68, 72, 5] Operation: 25-20=5
Moving to Node #0,1
Current State: 55:[20, 25, 4], Operations: ['72-68=4']
Exploring Operation: 25-20=5, Resulting Numbers: [4, 5]
Generated Node #0,1,0: 55:[4, 5] Operation: 25-20=5
Exploring Operation: 20-4=16, Resulting Numbers: [25, 16]
Generated Node #0,1,1: 55:[25, 16] Operation: 20-4=16
Exploring Operation: 20+25=45, Resulting Numbers: [4, 45]
Generated Node #0,1,2: 55:[4, 45] Operation: 20+25=45
Exploring Operation: 20/4=5, Resulting Numbers: [25, 5]
Generated Node #0,1,3: 55:[25, 5] Operation: 20/4=5
Moving to Node #0,2
Current State: 55:[68, 25, 52], Operations: ['72-20=52']
Exploring Operation: 52-25=27, Resulting Numbers: [68, 27]
Generated Node #0,2,0: 55:[68, 27] Operation: 52-25=27
Exploring Operation: 68-52=16, Resulting Numbers: [25, 16]
Generated Node #0,2,1: 55:[25, 16] Operation: 68-52=16
Exploring Operation: 68-25=43, Resulting Numbers: [52, 43]
Generated Node #0,2,2: 55:[52, 43] Operation: 68-25=43
Exploring Operation: 25+52=77, Resulting Numbers: [68, 77]
Generated Node #0,2,3: 55:[68, 77] Operation: 25+52=77
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 55:[52, 43], Operations: ['72-20=52', '68-25=43']
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 52*43=2236, Resulting Numbers: [2236]
2236,55 unequal: No Solution
Exploring Operation: 52+43=95, Resulting Numbers: [95]
95,55 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: 55:[25, 16], Operations: ['72-20=52', '68-52=16']
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,55 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: 55:[68, 27], Operations: ['72-20=52', '52-25=27']
Exploring Operation: 68+27=95, Resulting Numbers: [95]
95,55 unequal: No Solution
Exploring Operation: 68*27=1836, Resulting Numbers: [1836]
1836,55 unequal: No Solution
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,55 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: 55:[68, 77], Operations: ['72-20=52', '25+52=77']
Exploring Operation: 68*77=5236, Resulting Numbers: [5236]
5236,55 unequal: No Solution
Exploring Operation: 77-68=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 68+77=145, Resulting Numbers: [145]
145,55 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: 55:[68, 20, 47], Operations: ['72-25=47']
Exploring Operation: 20+47=67, Resulting Numbers: [68, 67]
Generated Node #0,0,0: 55:[68, 67] Operation: 20+47=67
Exploring Operation: 68-20=48, Resulting Numbers: [47, 48]
Generated Node #0,0,1: 55:[47, 48] Operation: 68-20=48
Exploring Operation: 47-20=27, Resulting Numbers: [68, 27]
Generated Node #0,0,2: 55:[68, 27] Operation: 47-20=27
Exploring Operation: 68-47=21, Resulting Numbers: [20, 21]
Generated Node #0,0,3: 55:[20, 21] Operation: 68-47=21
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[47, 48], Operations: ['72-25=47', '68-20=48']
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 47*48=2256, Resulting Numbers: [2256]
2256,55 unequal: No Solution
Exploring Operation: 47+48=95, Resulting Numbers: [95]
95,55 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: 55:[20, 21], Operations: ['72-25=47', '68-47=21']
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,55 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: 55:[68, 67], Operations: ['72-25=47', '20+47=67']
Exploring Operation: 68+67=135, Resulting Numbers: [135]
135,55 unequal: No Solution
Exploring Operation: 68*67=4556, Resulting Numbers: [4556]
4556,55 unequal: No Solution
Exploring Operation: 68-67=1, Resulting Numbers: [1]
1,55 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: 55:[68, 27], Operations: ['72-25=47', '47-20=27']
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 68*27=1836, Resulting Numbers: [1836]
1836,55 unequal: No Solution
Exploring Operation: 68+27=95, Resulting Numbers: [95]
95,55 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: 55:[68, 72, 5], Operations: ['25-20=5']
Exploring Operation: 72-5=67, Resulting Numbers: [68, 67]
Generated Node #0,3,0: 55:[68, 67] Operation: 72-5=67
Exploring Operation: 72-68=4, Resulting Numbers: [5, 4]
Generated Node #0,3,1: 55:[5, 4] Operation: 72-68=4
Exploring Operation: 68+5=73, Resulting Numbers: [72, 73]
Generated Node #0,3,2: 55:[72, 73] Operation: 68+5=73
Exploring Operation: 68-5=63, Resulting Numbers: [72, 63]
Generated Node #0,3,3: 55:[72, 63] Operation: 68-5=63
Moving to Node #0,1,0
Current State: 55:[4, 5], Operations: ['72-68=4', '25-20=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[5, 4], Operations: ['25-20=5', '72-68=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[4, 45], Operations: ['72-68=4', '20+25=45']
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[25, 5], Operations: ['72-68=4', '20/4=5']
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 25*5=125, Resulting Numbers: [125]
125,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[25, 16], Operations: ['72-68=4', '20-4=16']
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,55 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[68, 67], Operations: ['25-20=5', '72-5=67']
Exploring Operation: 68+67=135, Resulting Numbers: [135]
135,55 unequal: No Solution
Exploring Operation: 68-67=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 68*67=4556, Resulting Numbers: [4556]
4556,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[72, 63], Operations: ['25-20=5', '68-5=63']
Exploring Operation: 72-63=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 72*63=4536, Resulting Numbers: [4536]
4536,55 unequal: No Solution
Exploring Operation: 72+63=135, Resulting Numbers: [135]
135,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[72, 73], Operations: ['25-20=5', '68+5=73']
Exploring Operation: 72*73=5256, Resulting Numbers: [5256]
5256,55 unequal: No Solution
Exploring Operation: 72+73=145, Resulting Numbers: [145]
145,55 unequal: No Solution
Exploring Operation: 73-72=1, Resulting Numbers: [1]
1,55 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
62,
44,
45,
27
] | 54 | [
"62-44=18",
"45+27=72",
"72-18=54"
] | Current State: 54:[62, 44, 45, 27], Operations: []
Exploring Operation: 62-44=18, Resulting Numbers: [45, 27, 18]
Generated Node #2: [45, 27, 18] from Operation: 62-44=18
Current State: 54:[45, 27, 18], Operations: ['62-44=18']
Exploring Operation: 45+27=72, Resulting Numbers: [18, 72]
Generated Node #3: [18, 72] from Operation: 45+27=72
Current State: 54:[18, 72], Operations: ['62-44=18', '45+27=72']
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[62, 44, 45, 27], Operations: []
Exploring Operation: 45-44=1, Resulting Numbers: [62, 27, 1]
Generated Node #0,0: 54:[62, 27, 1] Operation: 45-44=1
Exploring Operation: 62-45=17, Resulting Numbers: [44, 27, 17]
Generated Node #0,1: 54:[44, 27, 17] Operation: 62-45=17
Exploring Operation: 62-44=18, Resulting Numbers: [45, 27, 18]
Generated Node #0,2: 54:[45, 27, 18] Operation: 62-44=18
Moving to Node #0,0
Current State: 54:[62, 27, 1], Operations: ['45-44=1']
Exploring Operation: 62-1=61, Resulting Numbers: [27, 61]
Generated Node #0,0,0: 54:[27, 61] Operation: 62-1=61
Exploring Operation: 62*1=62, Resulting Numbers: [27, 62]
Generated Node #0,0,1: 54:[27, 62] Operation: 62*1=62
Exploring Operation: 62/1=62, Resulting Numbers: [27, 62]
Generated Node #0,0,2: 54:[27, 62] Operation: 62/1=62
Moving to Node #0,2
Current State: 54:[45, 27, 18], Operations: ['62-44=18']
Exploring Operation: 45-27=18, Resulting Numbers: [18, 18]
Generated Node #0,2,0: 54:[18, 18] Operation: 45-27=18
Exploring Operation: 45-18=27, Resulting Numbers: [27, 27]
Generated Node #0,2,1: 54:[27, 27] Operation: 45-18=27
Exploring Operation: 45+18=63, Resulting Numbers: [27, 63]
Generated Node #0,2,2: 54:[27, 63] Operation: 45+18=63
Moving to Node #0,1
Current State: 54:[44, 27, 17], Operations: ['62-45=17']
Exploring Operation: 44-27=17, Resulting Numbers: [17, 17]
Generated Node #0,1,0: 54:[17, 17] Operation: 44-27=17
Exploring Operation: 44+17=61, Resulting Numbers: [27, 61]
Generated Node #0,1,1: 54:[27, 61] Operation: 44+17=61
Exploring Operation: 44-17=27, Resulting Numbers: [27, 27]
Generated Node #0,1,2: 54:[27, 27] Operation: 44-17=27
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 54:[27, 27], Operations: ['62-45=17', '44-17=27']
Exploring Operation: 27+27=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[62, 44, 45, 27], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [44, 27, 17]
Generated Node #0,1: 54:[44, 27, 17] Operation: 62-45=17
Moving to Node #0,1
Current State: 54:[44, 27, 17], Operations: ['62-45=17']
Exploring Operation: 44-17=27, Resulting Numbers: [27, 27]
Generated Node #0,1,2: 54:[27, 27] Operation: 44-17=27
Moving to Node #0,1,2
Current State: 54:[27, 27], Operations: ['62-45=17', '44-17=27']
Exploring Operation: 27+27=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
16,
4,
31,
71
] | 24 | [
"16*4=64",
"71-31=40",
"64-40=24"
] | Current State: 24:[16, 4, 31, 71], Operations: []
Exploring Operation: 16*4=64, Resulting Numbers: [31, 71, 64]
Generated Node #2: [31, 71, 64] from Operation: 16*4=64
Current State: 24:[31, 71, 64], Operations: ['16*4=64']
Exploring Operation: 71-31=40, Resulting Numbers: [64, 40]
Generated Node #3: [64, 40] from Operation: 71-31=40
Current State: 24:[64, 40], Operations: ['16*4=64', '71-31=40']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[16, 4, 31, 71], Operations: []
Exploring Operation: 31-16=15, Resulting Numbers: [4, 71, 15]
Generated Node #0,0: 24:[4, 71, 15] Operation: 31-16=15
Exploring Operation: 71-16=55, Resulting Numbers: [4, 31, 55]
Generated Node #0,1: 24:[4, 31, 55] Operation: 71-16=55
Exploring Operation: 16-4=12, Resulting Numbers: [31, 71, 12]
Generated Node #0,2: 24:[31, 71, 12] Operation: 16-4=12
Exploring Operation: 16/4=4, Resulting Numbers: [31, 71, 4]
Generated Node #0,3: 24:[31, 71, 4] Operation: 16/4=4
Exploring Operation: 71-31=40, Resulting Numbers: [16, 4, 40]
Generated Node #0,4: 24:[16, 4, 40] Operation: 71-31=40
Moving to Node #0,4
Current State: 24:[16, 4, 40], Operations: ['71-31=40']
Exploring Operation: 16/4=4, Resulting Numbers: [40, 4]
Generated Node #0,4,0: 24:[40, 4] Operation: 16/4=4
Exploring Operation: 40-16=24, Resulting Numbers: [4, 24]
Generated Node #0,4,1: 24:[4, 24] Operation: 40-16=24
Exploring Operation: 40-4=36, Resulting Numbers: [16, 36]
Generated Node #0,4,2: 24:[16, 36] Operation: 40-4=36
Exploring Operation: 40/4=10, Resulting Numbers: [16, 10]
Generated Node #0,4,3: 24:[16, 10] Operation: 40/4=10
Exploring Operation: 16-4=12, Resulting Numbers: [40, 12]
Generated Node #0,4,4: 24:[40, 12] Operation: 16-4=12
Moving to Node #0,1
Current State: 24:[4, 31, 55], Operations: ['71-16=55']
Exploring Operation: 55-31=24, Resulting Numbers: [4, 24]
Generated Node #0,1,0: 24:[4, 24] Operation: 55-31=24
Exploring Operation: 31-4=27, Resulting Numbers: [55, 27]
Generated Node #0,1,1: 24:[55, 27] Operation: 31-4=27
Exploring Operation: 4+55=59, Resulting Numbers: [31, 59]
Generated Node #0,1,2: 24:[31, 59] Operation: 4+55=59
Exploring Operation: 55-4=51, Resulting Numbers: [31, 51]
Generated Node #0,1,3: 24:[31, 51] Operation: 55-4=51
Exploring Operation: 4+31=35, Resulting Numbers: [55, 35]
Generated Node #0,1,4: 24:[55, 35] Operation: 4+31=35
Moving to Node #0,0
Current State: 24:[4, 71, 15], Operations: ['31-16=15']
Exploring Operation: 4+71=75, Resulting Numbers: [15, 75]
Generated Node #0,0,0: 24:[15, 75] Operation: 4+71=75
Exploring Operation: 71-4=67, Resulting Numbers: [15, 67]
Generated Node #0,0,1: 24:[15, 67] Operation: 71-4=67
Exploring Operation: 71-15=56, Resulting Numbers: [4, 56]
Generated Node #0,0,2: 24:[4, 56] Operation: 71-15=56
Exploring Operation: 4+15=19, Resulting Numbers: [71, 19]
Generated Node #0,0,3: 24:[71, 19] Operation: 4+15=19
Exploring Operation: 15-4=11, Resulting Numbers: [71, 11]
Generated Node #0,0,4: 24:[71, 11] Operation: 15-4=11
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 24:[4, 56], Operations: ['31-16=15', '71-15=56']
Exploring Operation: 4+56=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 4*56=224, Resulting Numbers: [224]
224,24 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,24 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: 24:[15, 67], Operations: ['31-16=15', '71-4=67']
Exploring Operation: 15*67=1005, Resulting Numbers: [1005]
1005,24 unequal: No Solution
Exploring Operation: 15+67=82, Resulting Numbers: [82]
82,24 unequal: No Solution
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,24 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 #0,0,4
Current State: 24:[71, 11], Operations: ['31-16=15', '15-4=11']
Exploring Operation: 71+11=82, Resulting Numbers: [82]
82,24 unequal: No Solution
Exploring Operation: 71*11=781, Resulting Numbers: [781]
781,24 unequal: No Solution
Exploring Operation: 71-11=60, Resulting Numbers: [60]
60,24 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: 24:[71, 19], Operations: ['31-16=15', '4+15=19']
Exploring Operation: 71*19=1349, Resulting Numbers: [1349]
1349,24 unequal: No Solution
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,24 unequal: No Solution
Exploring Operation: 71+19=90, Resulting Numbers: [90]
90,24 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: 24:[15, 75], Operations: ['31-16=15', '4+71=75']
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 15+75=90, Resulting Numbers: [90]
90,24 unequal: No Solution
Exploring Operation: 15*75=1125, Resulting Numbers: [1125]
1125,24 unequal: No Solution
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,24 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: 24:[31, 71, 12], Operations: ['16-4=12']
Exploring Operation: 71-31=40, Resulting Numbers: [12, 40]
Generated Node #0,2,0: 24:[12, 40] Operation: 71-31=40
Exploring Operation: 31-12=19, Resulting Numbers: [71, 19]
Generated Node #0,2,1: 24:[71, 19] Operation: 31-12=19
Exploring Operation: 71+12=83, Resulting Numbers: [31, 83]
Generated Node #0,2,2: 24:[31, 83] Operation: 71+12=83
Exploring Operation: 71-12=59, Resulting Numbers: [31, 59]
Generated Node #0,2,3: 24:[31, 59] Operation: 71-12=59
Exploring Operation: 31+12=43, Resulting Numbers: [71, 43]
Generated Node #0,2,4: 24:[71, 43] Operation: 31+12=43
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 24:[12, 40], Operations: ['16-4=12', '71-31=40']
Exploring Operation: 12+40=52, Resulting Numbers: [52]
52,24 unequal: No Solution
Exploring Operation: 12*40=480, Resulting Numbers: [480]
480,24 unequal: No Solution
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,24 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: 24:[31, 59], Operations: ['16-4=12', '71-12=59']
Exploring Operation: 59-31=28, Resulting Numbers: [28]
28,24 unequal: No Solution
Exploring Operation: 31*59=1829, Resulting Numbers: [1829]
1829,24 unequal: No Solution
Exploring Operation: 31+59=90, Resulting Numbers: [90]
90,24 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: 24:[71, 19], Operations: ['16-4=12', '31-12=19']
Exploring Operation: 71+19=90, Resulting Numbers: [90]
90,24 unequal: No Solution
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,24 unequal: No Solution
Exploring Operation: 71*19=1349, Resulting Numbers: [1349]
1349,24 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: 24:[31, 83], Operations: ['16-4=12', '71+12=83']
Exploring Operation: 31+83=114, Resulting Numbers: [114]
114,24 unequal: No Solution
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,24 unequal: No Solution
Exploring Operation: 31*83=2573, Resulting Numbers: [2573]
2573,24 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: 24:[71, 43], Operations: ['16-4=12', '31+12=43']
Exploring Operation: 71*43=3053, Resulting Numbers: [3053]
3053,24 unequal: No Solution
Exploring Operation: 71+43=114, Resulting Numbers: [114]
114,24 unequal: No Solution
Exploring Operation: 71-43=28, Resulting Numbers: [28]
28,24 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: 24:[31, 71, 4], Operations: ['16/4=4']
Exploring Operation: 31+4=35, Resulting Numbers: [71, 35]
Generated Node #0,3,0: 24:[71, 35] Operation: 31+4=35
Exploring Operation: 71-4=67, Resulting Numbers: [31, 67]
Generated Node #0,3,1: 24:[31, 67] Operation: 71-4=67
Exploring Operation: 71+4=75, Resulting Numbers: [31, 75]
Generated Node #0,3,2: 24:[31, 75] Operation: 71+4=75
Exploring Operation: 31-4=27, Resulting Numbers: [71, 27]
Generated Node #0,3,3: 24:[71, 27] Operation: 31-4=27
Exploring Operation: 71-31=40, Resulting Numbers: [4, 40]
Generated Node #0,3,4: 24:[4, 40] Operation: 71-31=40
Moving to Node #0,4,1
Current State: 24:[4, 24], Operations: ['71-31=40', '40-16=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,24 unequal: No Solution
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,24 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[4, 24], Operations: ['71-16=55', '55-31=24']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,24 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,24 unequal: No Solution
Moving to Node #0,4,3
Current State: 24:[16, 10], Operations: ['71-31=40', '40/4=10']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,24 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,24 unequal: No Solution
Moving to Node #0,4,0
Current State: 24:[40, 4], Operations: ['71-31=40', '16/4=4']
Exploring Operation: 40*4=160, Resulting Numbers: [160]
160,24 unequal: No Solution
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Moving to Node #0,4,4
Current State: 24:[40, 12], Operations: ['71-31=40', '16-4=12']
Exploring Operation: 40*12=480, Resulting Numbers: [480]
480,24 unequal: No Solution
Exploring Operation: 40+12=52, Resulting Numbers: [52]
52,24 unequal: No Solution
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,24 unequal: No Solution
Moving to Node #0,3,4
Current State: 24:[4, 40], Operations: ['16/4=4', '71-31=40']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 4*40=160, Resulting Numbers: [160]
160,24 unequal: No Solution
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Moving to Node #0,4,2
Current State: 24:[16, 36], Operations: ['71-31=40', '40-4=36']
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,24 unequal: No Solution
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,24 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[55, 27], Operations: ['71-16=55', '31-4=27']
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,24 unequal: No Solution
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,24 unequal: No Solution
Exploring Operation: 55*27=1485, Resulting Numbers: [1485]
1485,24 unequal: No Solution
Moving to Node #0,1,3
Current State: 24:[31, 51], Operations: ['71-16=55', '55-4=51']
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,24 unequal: No Solution
Exploring Operation: 31*51=1581, Resulting Numbers: [1581]
1581,24 unequal: No Solution
Moving to Node #0,1,4
Current State: 24:[55, 35], Operations: ['71-16=55', '4+31=35']
Exploring Operation: 55+35=90, Resulting Numbers: [90]
90,24 unequal: No Solution
Exploring Operation: 55*35=1925, Resulting Numbers: [1925]
1925,24 unequal: No Solution
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[31, 59], Operations: ['71-16=55', '4+55=59']
Exploring Operation: 31*59=1829, Resulting Numbers: [1829]
1829,24 unequal: No Solution
Exploring Operation: 59-31=28, Resulting Numbers: [28]
28,24 unequal: No Solution
Exploring Operation: 31+59=90, Resulting Numbers: [90]
90,24 unequal: No Solution
Moving to Node #0,3,3
Current State: 24:[71, 27], Operations: ['16/4=4', '31-4=27']
Exploring Operation: 71*27=1917, Resulting Numbers: [1917]
1917,24 unequal: No Solution
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Exploring Operation: 71+27=98, Resulting Numbers: [98]
98,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[31, 67], Operations: ['16/4=4', '71-4=67']
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 31*67=2077, Resulting Numbers: [2077]
2077,24 unequal: No Solution
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,24 unequal: No Solution
Moving to Node #0,3,2
Current State: 24:[31, 75], Operations: ['16/4=4', '71+4=75']
Exploring Operation: 31*75=2325, Resulting Numbers: [2325]
2325,24 unequal: No Solution
Exploring Operation: 31+75=106, Resulting Numbers: [106]
106,24 unequal: No Solution
Exploring Operation: 75-31=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[71, 35], Operations: ['16/4=4', '31+4=35']
Exploring Operation: 71+35=106, Resulting Numbers: [106]
106,24 unequal: No Solution
Exploring Operation: 71-35=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 71*35=2485, Resulting Numbers: [2485]
2485,24 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
3,
74,
20,
47
] | 61 | [
"3*20=60",
"74+47=121",
"121-60=61"
] | Current State: 61:[3, 74, 20, 47], Operations: []
Exploring Operation: 3*20=60, Resulting Numbers: [74, 47, 60]
Generated Node #2: [74, 47, 60] from Operation: 3*20=60
Current State: 61:[74, 47, 60], Operations: ['3*20=60']
Exploring Operation: 74+47=121, Resulting Numbers: [60, 121]
Generated Node #3: [60, 121] from Operation: 74+47=121
Current State: 61:[60, 121], Operations: ['3*20=60', '74+47=121']
Exploring Operation: 121-60=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[3, 74, 20, 47], Operations: []
Exploring Operation: 3+47=50, Resulting Numbers: [74, 20, 50]
Generated Node #0,0: 61:[74, 20, 50] Operation: 3+47=50
Exploring Operation: 3*20=60, Resulting Numbers: [74, 47, 60]
Generated Node #0,1: 61:[74, 47, 60] Operation: 3*20=60
Exploring Operation: 74-3=71, Resulting Numbers: [20, 47, 71]
Generated Node #0,2: 61:[20, 47, 71] Operation: 74-3=71
Exploring Operation: 3+20=23, Resulting Numbers: [74, 47, 23]
Generated Node #0,3: 61:[74, 47, 23] Operation: 3+20=23
Moving to Node #0,1
Current State: 61:[74, 47, 60], Operations: ['3*20=60']
Exploring Operation: 74+47=121, Resulting Numbers: [60, 121]
Generated Node #0,1,0: 61:[60, 121] Operation: 74+47=121
Exploring Operation: 47+60=107, Resulting Numbers: [74, 107]
Generated Node #0,1,1: 61:[74, 107] Operation: 47+60=107
Exploring Operation: 74-47=27, Resulting Numbers: [60, 27]
Generated Node #0,1,2: 61:[60, 27] Operation: 74-47=27
Exploring Operation: 74-60=14, Resulting Numbers: [47, 14]
Generated Node #0,1,3: 61:[47, 14] Operation: 74-60=14
Moving to Node #0,2
Current State: 61:[20, 47, 71], Operations: ['74-3=71']
Exploring Operation: 47-20=27, Resulting Numbers: [71, 27]
Generated Node #0,2,0: 61:[71, 27] Operation: 47-20=27
Exploring Operation: 20+71=91, Resulting Numbers: [47, 91]
Generated Node #0,2,1: 61:[47, 91] Operation: 20+71=91
Exploring Operation: 20+47=67, Resulting Numbers: [71, 67]
Generated Node #0,2,2: 61:[71, 67] Operation: 20+47=67
Exploring Operation: 71-20=51, Resulting Numbers: [47, 51]
Generated Node #0,2,3: 61:[47, 51] Operation: 71-20=51
Moving to Node #0,0
Current State: 61:[74, 20, 50], Operations: ['3+47=50']
Exploring Operation: 74+20=94, Resulting Numbers: [50, 94]
Generated Node #0,0,0: 61:[50, 94] Operation: 74+20=94
Exploring Operation: 50-20=30, Resulting Numbers: [74, 30]
Generated Node #0,0,1: 61:[74, 30] Operation: 50-20=30
Exploring Operation: 74-20=54, Resulting Numbers: [50, 54]
Generated Node #0,0,2: 61:[50, 54] Operation: 74-20=54
Exploring Operation: 20+50=70, Resulting Numbers: [74, 70]
Generated Node #0,0,3: 61:[74, 70] Operation: 20+50=70
Moving to Node #0,3
Current State: 61:[74, 47, 23], Operations: ['3+20=23']
Exploring Operation: 47+23=70, Resulting Numbers: [74, 70]
Generated Node #0,3,0: 61:[74, 70] Operation: 47+23=70
Exploring Operation: 74+23=97, Resulting Numbers: [47, 97]
Generated Node #0,3,1: 61:[47, 97] Operation: 74+23=97
Exploring Operation: 74-23=51, Resulting Numbers: [47, 51]
Generated Node #0,3,2: 61:[47, 51] Operation: 74-23=51
Exploring Operation: 47-23=24, Resulting Numbers: [74, 24]
Generated Node #0,3,3: 61:[74, 24] Operation: 47-23=24
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 61:[74, 70], Operations: ['3+20=23', '47+23=70']
Exploring Operation: 74+70=144, Resulting Numbers: [144]
144,61 unequal: No Solution
Exploring Operation: 74*70=5180, Resulting Numbers: [5180]
5180,61 unequal: No Solution
Exploring Operation: 74-70=4, Resulting Numbers: [4]
4,61 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: 61:[47, 51], Operations: ['3+20=23', '74-23=51']
Exploring Operation: 47*51=2397, Resulting Numbers: [2397]
2397,61 unequal: No Solution
Exploring Operation: 47+51=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 51-47=4, Resulting Numbers: [4]
4,61 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: 61:[47, 97], Operations: ['3+20=23', '74+23=97']
Exploring Operation: 47*97=4559, Resulting Numbers: [4559]
4559,61 unequal: No Solution
Exploring Operation: 47+97=144, Resulting Numbers: [144]
144,61 unequal: No Solution
Exploring Operation: 97-47=50, Resulting Numbers: [50]
50,61 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: 61:[74, 24], Operations: ['3+20=23', '47-23=24']
Exploring Operation: 74+24=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 74*24=1776, Resulting Numbers: [1776]
1776,61 unequal: No Solution
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 61:[71, 67], Operations: ['74-3=71', '20+47=67']
Exploring Operation: 71-67=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 71+67=138, Resulting Numbers: [138]
138,61 unequal: No Solution
Exploring Operation: 71*67=4757, Resulting Numbers: [4757]
4757,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[50, 54], Operations: ['3+47=50', '74-20=54']
Exploring Operation: 50+54=104, Resulting Numbers: [104]
104,61 unequal: No Solution
Exploring Operation: 50*54=2700, Resulting Numbers: [2700]
2700,61 unequal: No Solution
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[74, 70], Operations: ['3+47=50', '20+50=70']
Exploring Operation: 74+70=144, Resulting Numbers: [144]
144,61 unequal: No Solution
Exploring Operation: 74-70=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 74*70=5180, Resulting Numbers: [5180]
5180,61 unequal: No Solution
Moving to Node #0,2,3
Current State: 61:[47, 51], Operations: ['74-3=71', '71-20=51']
Exploring Operation: 47*51=2397, Resulting Numbers: [2397]
2397,61 unequal: No Solution
Exploring Operation: 51-47=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 47+51=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[60, 27], Operations: ['3*20=60', '74-47=27']
Exploring Operation: 60-27=33, Resulting Numbers: [33]
33,61 unequal: No Solution
Exploring Operation: 60*27=1620, Resulting Numbers: [1620]
1620,61 unequal: No Solution
Exploring Operation: 60+27=87, Resulting Numbers: [87]
87,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[71, 27], Operations: ['74-3=71', '47-20=27']
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 71+27=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 71*27=1917, Resulting Numbers: [1917]
1917,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[74, 30], Operations: ['3+47=50', '50-20=30']
Exploring Operation: 74+30=104, Resulting Numbers: [104]
104,61 unequal: No Solution
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 74*30=2220, Resulting Numbers: [2220]
2220,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[50, 94], Operations: ['3+47=50', '74+20=94']
Exploring Operation: 50+94=144, Resulting Numbers: [144]
144,61 unequal: No Solution
Exploring Operation: 94-50=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 50*94=4700, Resulting Numbers: [4700]
4700,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[47, 91], Operations: ['74-3=71', '20+71=91']
Exploring Operation: 47+91=138, Resulting Numbers: [138]
138,61 unequal: No Solution
Exploring Operation: 91-47=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 47*91=4277, Resulting Numbers: [4277]
4277,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[74, 107], Operations: ['3*20=60', '47+60=107']
Exploring Operation: 107-74=33, Resulting Numbers: [33]
33,61 unequal: No Solution
Exploring Operation: 74+107=181, Resulting Numbers: [181]
181,61 unequal: No Solution
Exploring Operation: 74*107=7918, Resulting Numbers: [7918]
7918,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[47, 14], Operations: ['3*20=60', '74-60=14']
Exploring Operation: 47*14=658, Resulting Numbers: [658]
658,61 unequal: No Solution
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,61 unequal: No Solution
Exploring Operation: 47+14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[3, 74, 20, 47], Operations: []
Exploring Operation: 3*20=60, Resulting Numbers: [74, 47, 60]
Generated Node #0,1: 61:[74, 47, 60] Operation: 3*20=60
Moving to Node #0,1
Current State: 61:[74, 47, 60], Operations: ['3*20=60']
Exploring Operation: 74-60=14, Resulting Numbers: [47, 14]
Generated Node #0,1,3: 61:[47, 14] Operation: 74-60=14
Moving to Node #0,1,3
Current State: 61:[47, 14], Operations: ['3*20=60', '74-60=14']
Exploring Operation: 47+14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 0.940104 | hs_4 | sum_heuristic |
[
47,
64,
41,
74
] | 50 | [
"64-47=17",
"74-41=33",
"17+33=50"
] | Current State: 50:[47, 64, 41, 74], Operations: []
Exploring Operation: 64-47=17, Resulting Numbers: [41, 74, 17]
Generated Node #2: [41, 74, 17] from Operation: 64-47=17
Current State: 50:[41, 74, 17], Operations: ['64-47=17']
Exploring Operation: 74-41=33, Resulting Numbers: [17, 33]
Generated Node #3: [17, 33] from Operation: 74-41=33
Current State: 50:[17, 33], Operations: ['64-47=17', '74-41=33']
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[47, 64, 41, 74], Operations: []
Exploring Operation: 74-47=27, Resulting Numbers: [64, 41, 27]
Generated Node #0,0: 50:[64, 41, 27] Operation: 74-47=27
Exploring Operation: 74-41=33, Resulting Numbers: [47, 64, 33]
Generated Node #0,1: 50:[47, 64, 33] Operation: 74-41=33
Exploring Operation: 74-64=10, Resulting Numbers: [47, 41, 10]
Generated Node #0,2: 50:[47, 41, 10] Operation: 74-64=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[47, 41, 10], Operations: ['74-64=10']
Exploring Operation: 41-10=31, Resulting Numbers: [47, 31]
Generated Node #0,2,0: 50:[47, 31] Operation: 41-10=31
Exploring Operation: 41+10=51, Resulting Numbers: [47, 51]
Generated Node #0,2,1: 50:[47, 51] Operation: 41+10=51
Exploring Operation: 47-41=6, Resulting Numbers: [10, 6]
Generated Node #0,2,2: 50:[10, 6] Operation: 47-41=6
Moving to Node #0,2,2
Current State: 50:[10, 6], Operations: ['74-64=10', '47-41=6']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,50 unequal: No Solution
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[47, 51], Operations: ['74-64=10', '41+10=51']
Exploring Operation: 47*51=2397, Resulting Numbers: [2397]
2397,50 unequal: No Solution
Exploring Operation: 51-47=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 47+51=98, Resulting Numbers: [98]
98,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[47, 31], Operations: ['74-64=10', '41-10=31']
Exploring Operation: 47-31=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 47+31=78, Resulting Numbers: [78]
78,50 unequal: No Solution
Exploring Operation: 47*31=1457, Resulting Numbers: [1457]
1457,50 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 #0,0
Current State: 50:[64, 41, 27], Operations: ['74-47=27']
Exploring Operation: 64-41=23, Resulting Numbers: [27, 23]
Generated Node #0,0,0: 50:[27, 23] Operation: 64-41=23
Exploring Operation: 64-27=37, Resulting Numbers: [41, 37]
Generated Node #0,0,1: 50:[41, 37] Operation: 64-27=37
Exploring Operation: 41-27=14, Resulting Numbers: [64, 14]
Generated Node #0,0,2: 50:[64, 14] Operation: 41-27=14
Moving to Node #0,0,0
Current State: 50:[27, 23], Operations: ['74-47=27', '64-41=23']
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 27+23=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[47, 64, 41, 74], Operations: []
Exploring Operation: 74-47=27, Resulting Numbers: [64, 41, 27]
Generated Node #0,0: 50:[64, 41, 27] Operation: 74-47=27
Moving to Node #0,0
Current State: 50:[64, 41, 27], Operations: ['74-47=27']
Exploring Operation: 64-41=23, Resulting Numbers: [27, 23]
Generated Node #0,0,0: 50:[27, 23] Operation: 64-41=23
Moving to Node #0,0,0
Current State: 50:[27, 23], Operations: ['74-47=27', '64-41=23']
Exploring Operation: 27+23=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_3 | mult_heuristic |
[
37,
59,
28,
18
] | 12 | [
"59-37=22",
"28-18=10",
"22-10=12"
] | Current State: 12:[37, 59, 28, 18], Operations: []
Exploring Operation: 59-37=22, Resulting Numbers: [28, 18, 22]
Generated Node #2: [28, 18, 22] from Operation: 59-37=22
Current State: 12:[28, 18, 22], Operations: ['59-37=22']
Exploring Operation: 28-18=10, Resulting Numbers: [22, 10]
Generated Node #3: [22, 10] from Operation: 28-18=10
Current State: 12:[22, 10], Operations: ['59-37=22', '28-18=10']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[37, 59, 28, 18], Operations: []
Exploring Operation: 59-37=22, Resulting Numbers: [28, 18, 22]
Generated Node #0,0: 12:[28, 18, 22] Operation: 59-37=22
Exploring Operation: 59-28=31, Resulting Numbers: [37, 18, 31]
Generated Node #0,1: 12:[37, 18, 31] Operation: 59-28=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[28, 18, 22], Operations: ['59-37=22']
Exploring Operation: 28-18=10, Resulting Numbers: [22, 10]
Generated Node #0,0,0: 12:[22, 10] Operation: 28-18=10
Exploring Operation: 28-22=6, Resulting Numbers: [18, 6]
Generated Node #0,0,1: 12:[18, 6] Operation: 28-22=6
Moving to Node #0,0,1
Current State: 12:[18, 6], Operations: ['59-37=22', '28-22=6']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[37, 59, 28, 18], Operations: []
Exploring Operation: 59-37=22, Resulting Numbers: [28, 18, 22]
Generated Node #0,0: 12:[28, 18, 22] Operation: 59-37=22
Moving to Node #0,0
Current State: 12:[28, 18, 22], Operations: ['59-37=22']
Exploring Operation: 28-22=6, Resulting Numbers: [18, 6]
Generated Node #0,0,1: 12:[18, 6] Operation: 28-22=6
Moving to Node #0,0,1
Current State: 12:[18, 6], Operations: ['59-37=22', '28-22=6']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
79,
15,
10,
5
] | 46 | [
"15+10=25",
"5*25=125",
"125-79=46"
] | Current State: 46:[79, 15, 10, 5], Operations: []
Exploring Operation: 15+10=25, Resulting Numbers: [79, 5, 25]
Generated Node #2: [79, 5, 25] from Operation: 15+10=25
Current State: 46:[79, 5, 25], Operations: ['15+10=25']
Exploring Operation: 5*25=125, Resulting Numbers: [79, 125]
Generated Node #3: [79, 125] from Operation: 5*25=125
Current State: 46:[79, 125], Operations: ['15+10=25', '5*25=125']
Exploring Operation: 125-79=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[79, 15, 10, 5], Operations: []
Exploring Operation: 15+10=25, Resulting Numbers: [79, 5, 25]
Generated Node #0,0: 46:[79, 5, 25] Operation: 15+10=25
Exploring Operation: 10/5=2, Resulting Numbers: [79, 15, 2]
Generated Node #0,1: 46:[79, 15, 2] Operation: 10/5=2
Exploring Operation: 79-15=64, Resulting Numbers: [10, 5, 64]
Generated Node #0,2: 46:[10, 5, 64] Operation: 79-15=64
Exploring Operation: 79-10=69, Resulting Numbers: [15, 5, 69]
Generated Node #0,3: 46:[15, 5, 69] Operation: 79-10=69
Exploring Operation: 15-10=5, Resulting Numbers: [79, 5, 5]
Generated Node #0,4: 46:[79, 5, 5] Operation: 15-10=5
Moving to Node #0,2
Current State: 46:[10, 5, 64], Operations: ['79-15=64']
Exploring Operation: 64-10=54, Resulting Numbers: [5, 54]
Generated Node #0,2,0: 46:[5, 54] Operation: 64-10=54
Exploring Operation: 10*5=50, Resulting Numbers: [64, 50]
Generated Node #0,2,1: 46:[64, 50] Operation: 10*5=50
Exploring Operation: 10/5=2, Resulting Numbers: [64, 2]
Generated Node #0,2,2: 46:[64, 2] Operation: 10/5=2
Exploring Operation: 64-5=59, Resulting Numbers: [10, 59]
Generated Node #0,2,3: 46:[10, 59] Operation: 64-5=59
Exploring Operation: 10-5=5, Resulting Numbers: [64, 5]
Generated Node #0,2,4: 46:[64, 5] Operation: 10-5=5
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 46:[5, 54], Operations: ['79-15=64', '64-10=54']
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 5*54=270, Resulting Numbers: [270]
270,46 unequal: No Solution
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,46 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 #0,2,2
Current State: 46:[64, 2], Operations: ['79-15=64', '10/5=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,46 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 64*2=128, Resulting Numbers: [128]
128,46 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,46 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 #0,2,3
Current State: 46:[10, 59], Operations: ['79-15=64', '64-5=59']
Exploring Operation: 10+59=69, Resulting Numbers: [69]
69,46 unequal: No Solution
Exploring Operation: 10*59=590, Resulting Numbers: [590]
590,46 unequal: No Solution
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,46 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 #0,2,4
Current State: 46:[64, 5], Operations: ['79-15=64', '10-5=5']
Exploring Operation: 64*5=320, Resulting Numbers: [320]
320,46 unequal: No Solution
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,46 unequal: No Solution
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,46 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 #0,2,1
Current State: 46:[64, 50], Operations: ['79-15=64', '10*5=50']
Exploring Operation: 64*50=3200, Resulting Numbers: [3200]
3200,46 unequal: No Solution
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,46 unequal: No Solution
Exploring Operation: 64+50=114, Resulting Numbers: [114]
114,46 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: 46:[15, 5, 69], Operations: ['79-10=69']
Exploring Operation: 15+5=20, Resulting Numbers: [69, 20]
Generated Node #0,3,0: 46:[69, 20] Operation: 15+5=20
Exploring Operation: 69-5=64, Resulting Numbers: [15, 64]
Generated Node #0,3,1: 46:[15, 64] Operation: 69-5=64
Exploring Operation: 15/5=3, Resulting Numbers: [69, 3]
Generated Node #0,3,2: 46:[69, 3] Operation: 15/5=3
Exploring Operation: 15-5=10, Resulting Numbers: [69, 10]
Generated Node #0,3,3: 46:[69, 10] Operation: 15-5=10
Exploring Operation: 69-15=54, Resulting Numbers: [5, 54]
Generated Node #0,3,4: 46:[5, 54] Operation: 69-15=54
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 46:[5, 54], Operations: ['79-10=69', '69-15=54']
Exploring Operation: 5*54=270, Resulting Numbers: [270]
270,46 unequal: No Solution
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,46 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 #0,3,2
Current State: 46:[69, 3], Operations: ['79-10=69', '15/5=3']
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,46 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,46 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 #0,3,0
Current State: 46:[69, 20], Operations: ['79-10=69', '15+5=20']
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,46 unequal: No Solution
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Exploring Operation: 69*20=1380, Resulting Numbers: [1380]
1380,46 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 #0,3,1
Current State: 46:[15, 64], Operations: ['79-10=69', '69-5=64']
Exploring Operation: 15*64=960, Resulting Numbers: [960]
960,46 unequal: No Solution
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,46 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 #0,3,3
Current State: 46:[69, 10], Operations: ['79-10=69', '15-5=10']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 69*10=690, Resulting Numbers: [690]
690,46 unequal: No Solution
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,46 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: 46:[79, 5, 25], Operations: ['15+10=25']
Exploring Operation: 25/5=5, Resulting Numbers: [79, 5]
Generated Node #0,0,0: 46:[79, 5] Operation: 25/5=5
Exploring Operation: 25-5=20, Resulting Numbers: [79, 20]
Generated Node #0,0,1: 46:[79, 20] Operation: 25-5=20
Exploring Operation: 79-5=74, Resulting Numbers: [25, 74]
Generated Node #0,0,2: 46:[25, 74] Operation: 79-5=74
Exploring Operation: 79+5=84, Resulting Numbers: [25, 84]
Generated Node #0,0,3: 46:[25, 84] Operation: 79+5=84
Exploring Operation: 79-25=54, Resulting Numbers: [5, 54]
Generated Node #0,0,4: 46:[5, 54] Operation: 79-25=54
Moving to Node #0,4
Current State: 46:[79, 5, 5], Operations: ['15-10=5']
Exploring Operation: 79-5=74, Resulting Numbers: [5, 74]
Generated Node #0,4,0: 46:[5, 74] Operation: 79-5=74
Exploring Operation: 79-5=74, Resulting Numbers: [5, 74]
Generated Node #0,4,1: 46:[5, 74] Operation: 79-5=74
Exploring Operation: 5*5=25, Resulting Numbers: [79, 25]
Generated Node #0,4,2: 46:[79, 25] Operation: 5*5=25
Exploring Operation: 5-5=0, Resulting Numbers: [79, 0]
Generated Node #0,4,3: 46:[79, 0] Operation: 5-5=0
Exploring Operation: 5/5=1, Resulting Numbers: [79, 1]
Generated Node #0,4,4: 46:[79, 1] Operation: 5/5=1
Moving to Node #0,1
Current State: 46:[79, 15, 2], Operations: ['10/5=2']
Exploring Operation: 15+2=17, Resulting Numbers: [79, 17]
Generated Node #0,1,0: 46:[79, 17] Operation: 15+2=17
Exploring Operation: 79-15=64, Resulting Numbers: [2, 64]
Generated Node #0,1,1: 46:[2, 64] Operation: 79-15=64
Exploring Operation: 79+2=81, Resulting Numbers: [15, 81]
Generated Node #0,1,2: 46:[15, 81] Operation: 79+2=81
Exploring Operation: 15*2=30, Resulting Numbers: [79, 30]
Generated Node #0,1,3: 46:[79, 30] Operation: 15*2=30
Exploring Operation: 79-2=77, Resulting Numbers: [15, 77]
Generated Node #0,1,4: 46:[15, 77] Operation: 79-2=77
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[2, 64], Operations: ['10/5=2', '79-15=64']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,46 unequal: No Solution
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,46 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,46 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,46 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 #0,1,0
Current State: 46:[79, 17], Operations: ['10/5=2', '15+2=17']
Exploring Operation: 79+17=96, Resulting Numbers: [96]
96,46 unequal: No Solution
Exploring Operation: 79*17=1343, Resulting Numbers: [1343]
1343,46 unequal: No Solution
Exploring Operation: 79-17=62, Resulting Numbers: [62]
62,46 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 #0,1,4
Current State: 46:[15, 77], Operations: ['10/5=2', '79-2=77']
Exploring Operation: 15+77=92, Resulting Numbers: [92]
92,46 unequal: No Solution
Exploring Operation: 15*77=1155, Resulting Numbers: [1155]
1155,46 unequal: No Solution
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,46 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 #0,1,3
Current State: 46:[79, 30], Operations: ['10/5=2', '15*2=30']
Exploring Operation: 79*30=2370, Resulting Numbers: [2370]
2370,46 unequal: No Solution
Exploring Operation: 79-30=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Exploring Operation: 79+30=109, Resulting Numbers: [109]
109,46 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 #0,1,2
Current State: 46:[15, 81], Operations: ['10/5=2', '79+2=81']
Exploring Operation: 15*81=1215, Resulting Numbers: [1215]
1215,46 unequal: No Solution
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,46 unequal: No Solution
Exploring Operation: 15+81=96, Resulting Numbers: [96]
96,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,4
Current State: 46:[5, 54], Operations: ['15+10=25', '79-25=54']
Exploring Operation: 5*54=270, Resulting Numbers: [270]
270,46 unequal: No Solution
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[25, 74], Operations: ['15+10=25', '79-5=74']
Exploring Operation: 74-25=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Exploring Operation: 25+74=99, Resulting Numbers: [99]
99,46 unequal: No Solution
Exploring Operation: 25*74=1850, Resulting Numbers: [1850]
1850,46 unequal: No Solution
Moving to Node #0,4,0
Current State: 46:[5, 74], Operations: ['15-10=5', '79-5=74']
Exploring Operation: 5*74=370, Resulting Numbers: [370]
370,46 unequal: No Solution
Exploring Operation: 5+74=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 74-5=69, Resulting Numbers: [69]
69,46 unequal: No Solution
Moving to Node #0,4,1
Current State: 46:[5, 74], Operations: ['15-10=5', '79-5=74']
Exploring Operation: 5+74=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 74-5=69, Resulting Numbers: [69]
69,46 unequal: No Solution
Exploring Operation: 5*74=370, Resulting Numbers: [370]
370,46 unequal: No Solution
Moving to Node #0,4,4
Current State: 46:[79, 1], Operations: ['15-10=5', '5/5=1']
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,46 unequal: No Solution
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 79/1=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,46 unequal: No Solution
Moving to Node #0,4,3
Current State: 46:[79, 0], Operations: ['15-10=5', '5-5=0']
Exploring Operation: 79-0=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 79+0=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 79*0=0, Resulting Numbers: [0]
0,46 unequal: No Solution
Moving to Node #0,4,2
Current State: 46:[79, 25], Operations: ['15-10=5', '5*5=25']
Exploring Operation: 79-25=54, Resulting Numbers: [54]
54,46 unequal: No Solution
Exploring Operation: 79+25=104, Resulting Numbers: [104]
104,46 unequal: No Solution
Exploring Operation: 79*25=1975, Resulting Numbers: [1975]
1975,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[79, 5], Operations: ['15+10=25', '25/5=5']
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,46 unequal: No Solution
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,46 unequal: No Solution
Exploring Operation: 79*5=395, Resulting Numbers: [395]
395,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[79, 20], Operations: ['15+10=25', '25-5=20']
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,46 unequal: No Solution
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[25, 84], Operations: ['15+10=25', '79+5=84']
Exploring Operation: 25+84=109, Resulting Numbers: [109]
109,46 unequal: No Solution
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 25*84=2100, Resulting Numbers: [2100]
2100,46 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
2,
39,
29,
56
] | 44 | [
"2+39=41",
"29+56=85",
"85-41=44"
] | Current State: 44:[2, 39, 29, 56], Operations: []
Exploring Operation: 2+39=41, Resulting Numbers: [29, 56, 41]
Generated Node #2: [29, 56, 41] from Operation: 2+39=41
Current State: 44:[29, 56, 41], Operations: ['2+39=41']
Exploring Operation: 29+56=85, Resulting Numbers: [41, 85]
Generated Node #3: [41, 85] from Operation: 29+56=85
Current State: 44:[41, 85], Operations: ['2+39=41', '29+56=85']
Exploring Operation: 85-41=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[2, 39, 29, 56], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [2, 39, 27]
Generated Node #0,0: 44:[2, 39, 27] Operation: 56-29=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[2, 39, 27], Operations: ['56-29=27']
Exploring Operation: 39-27=12, Resulting Numbers: [2, 12]
Generated Node #0,0,0: 44:[2, 12] Operation: 39-27=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[2, 12], Operations: ['56-29=27', '39-27=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,44 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 |
[
74,
47,
63,
50
] | 14 | [
"74-47=27",
"63-50=13",
"27-13=14"
] | Current State: 14:[74, 47, 63, 50], Operations: []
Exploring Operation: 74-47=27, Resulting Numbers: [63, 50, 27]
Generated Node #2: [63, 50, 27] from Operation: 74-47=27
Current State: 14:[63, 50, 27], Operations: ['74-47=27']
Exploring Operation: 63-50=13, Resulting Numbers: [27, 13]
Generated Node #3: [27, 13] from Operation: 63-50=13
Current State: 14:[27, 13], Operations: ['74-47=27', '63-50=13']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[74, 47, 63, 50], Operations: []
Exploring Operation: 74-63=11, Resulting Numbers: [47, 50, 11]
Generated Node #0,0: 14:[47, 50, 11] Operation: 74-63=11
Moving to Node #0,0
Current State: 14:[47, 50, 11], Operations: ['74-63=11']
Exploring Operation: 50-47=3, Resulting Numbers: [11, 3]
Generated Node #0,0,0: 14:[11, 3] Operation: 50-47=3
Moving to Node #0,0,0
Current State: 14:[11, 3], Operations: ['74-63=11', '50-47=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[74, 47, 63, 50], Operations: []
Exploring Operation: 74-63=11, Resulting Numbers: [47, 50, 11]
Generated Node #0,0: 14:[47, 50, 11] Operation: 74-63=11
Moving to Node #0,0
Current State: 14:[47, 50, 11], Operations: ['74-63=11']
Exploring Operation: 50-47=3, Resulting Numbers: [11, 3]
Generated Node #0,0,0: 14:[11, 3] Operation: 50-47=3
Moving to Node #0,0,0
Current State: 14:[11, 3], Operations: ['74-63=11', '50-47=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
40,
60,
10,
26
] | 41 | [
"40/10=4",
"60/4=15",
"26+15=41"
] | Current State: 41:[40, 60, 10, 26], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [60, 26, 4]
Generated Node #2: [60, 26, 4] from Operation: 40/10=4
Current State: 41:[60, 26, 4], Operations: ['40/10=4']
Exploring Operation: 60/4=15, Resulting Numbers: [26, 15]
Generated Node #3: [26, 15] from Operation: 60/4=15
Current State: 41:[26, 15], Operations: ['40/10=4', '60/4=15']
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[40, 60, 10, 26], Operations: []
Exploring Operation: 60-26=34, Resulting Numbers: [40, 10, 34]
Generated Node #0,0: 41:[40, 10, 34] Operation: 60-26=34
Exploring Operation: 40-10=30, Resulting Numbers: [60, 26, 30]
Generated Node #0,1: 41:[60, 26, 30] Operation: 40-10=30
Exploring Operation: 10+26=36, Resulting Numbers: [40, 60, 36]
Generated Node #0,2: 41:[40, 60, 36] Operation: 10+26=36
Exploring Operation: 40+10=50, Resulting Numbers: [60, 26, 50]
Generated Node #0,3: 41:[60, 26, 50] Operation: 40+10=50
Exploring Operation: 60-10=50, Resulting Numbers: [40, 26, 50]
Generated Node #0,4: 41:[40, 26, 50] Operation: 60-10=50
Moving to Node #0,2
Current State: 41:[40, 60, 36], Operations: ['10+26=36']
Exploring Operation: 60-40=20, Resulting Numbers: [36, 20]
Generated Node #0,2,0: 41:[36, 20] Operation: 60-40=20
Exploring Operation: 60-36=24, Resulting Numbers: [40, 24]
Generated Node #0,2,1: 41:[40, 24] Operation: 60-36=24
Exploring Operation: 40+36=76, Resulting Numbers: [60, 76]
Generated Node #0,2,2: 41:[60, 76] Operation: 40+36=76
Exploring Operation: 60+36=96, Resulting Numbers: [40, 96]
Generated Node #0,2,3: 41:[40, 96] Operation: 60+36=96
Exploring Operation: 40-36=4, Resulting Numbers: [60, 4]
Generated Node #0,2,4: 41:[60, 4] Operation: 40-36=4
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 41:[40, 24], Operations: ['10+26=36', '60-36=24']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 40+24=64, Resulting Numbers: [64]
64,41 unequal: No Solution
Exploring Operation: 40*24=960, Resulting Numbers: [960]
960,41 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: 41:[36, 20], Operations: ['10+26=36', '60-40=20']
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,41 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,41 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: 41:[60, 76], Operations: ['10+26=36', '40+36=76']
Exploring Operation: 60+76=136, Resulting Numbers: [136]
136,41 unequal: No Solution
Exploring Operation: 76-60=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 60*76=4560, Resulting Numbers: [4560]
4560,41 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: 41:[40, 96], Operations: ['10+26=36', '60+36=96']
Exploring Operation: 96-40=56, Resulting Numbers: [56]
56,41 unequal: No Solution
Exploring Operation: 40*96=3840, Resulting Numbers: [3840]
3840,41 unequal: No Solution
Exploring Operation: 40+96=136, Resulting Numbers: [136]
136,41 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: 41:[60, 4], Operations: ['10+26=36', '40-36=4']
Exploring Operation: 60*4=240, Resulting Numbers: [240]
240,41 unequal: No Solution
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,41 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,41 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,41 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: 41:[40, 26, 50], Operations: ['60-10=50']
Exploring Operation: 50-40=10, Resulting Numbers: [26, 10]
Generated Node #0,4,0: 41:[26, 10] Operation: 50-40=10
Exploring Operation: 40-26=14, Resulting Numbers: [50, 14]
Generated Node #0,4,1: 41:[50, 14] Operation: 40-26=14
Exploring Operation: 40+26=66, Resulting Numbers: [50, 66]
Generated Node #0,4,2: 41:[50, 66] Operation: 40+26=66
Exploring Operation: 26+50=76, Resulting Numbers: [40, 76]
Generated Node #0,4,3: 41:[40, 76] Operation: 26+50=76
Exploring Operation: 50-26=24, Resulting Numbers: [40, 24]
Generated Node #0,4,4: 41:[40, 24] Operation: 50-26=24
Moving to Node #0,0
Current State: 41:[40, 10, 34], Operations: ['60-26=34']
Exploring Operation: 10+34=44, Resulting Numbers: [40, 44]
Generated Node #0,0,0: 41:[40, 44] Operation: 10+34=44
Exploring Operation: 40-10=30, Resulting Numbers: [34, 30]
Generated Node #0,0,1: 41:[34, 30] Operation: 40-10=30
Exploring Operation: 40/10=4, Resulting Numbers: [34, 4]
Generated Node #0,0,2: 41:[34, 4] Operation: 40/10=4
Exploring Operation: 40+10=50, Resulting Numbers: [34, 50]
Generated Node #0,0,3: 41:[34, 50] Operation: 40+10=50
Exploring Operation: 34-10=24, Resulting Numbers: [40, 24]
Generated Node #0,0,4: 41:[40, 24] Operation: 34-10=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[40, 44], Operations: ['60-26=34', '10+34=44']
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,41 unequal: No Solution
Exploring Operation: 40*44=1760, Resulting Numbers: [1760]
1760,41 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,41 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: 41:[34, 50], Operations: ['60-26=34', '40+10=50']
Exploring Operation: 34*50=1700, Resulting Numbers: [1700]
1700,41 unequal: No Solution
Exploring Operation: 34+50=84, Resulting Numbers: [84]
84,41 unequal: No Solution
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,41 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: 41:[34, 30], Operations: ['60-26=34', '40-10=30']
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,41 unequal: No Solution
Exploring Operation: 34*30=1020, Resulting Numbers: [1020]
1020,41 unequal: No Solution
Exploring Operation: 34+30=64, Resulting Numbers: [64]
64,41 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 #0,0,4
Current State: 41:[40, 24], Operations: ['60-26=34', '34-10=24']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 40+24=64, Resulting Numbers: [64]
64,41 unequal: No Solution
Exploring Operation: 40*24=960, Resulting Numbers: [960]
960,41 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: 41:[34, 4], Operations: ['60-26=34', '40/10=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 34*4=136, Resulting Numbers: [136]
136,41 unequal: No Solution
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,41 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: 41:[60, 26, 50], Operations: ['40+10=50']
Exploring Operation: 60+26=86, Resulting Numbers: [50, 86]
Generated Node #0,3,0: 41:[50, 86] Operation: 60+26=86
Exploring Operation: 26+50=76, Resulting Numbers: [60, 76]
Generated Node #0,3,1: 41:[60, 76] Operation: 26+50=76
Exploring Operation: 50-26=24, Resulting Numbers: [60, 24]
Generated Node #0,3,2: 41:[60, 24] Operation: 50-26=24
Exploring Operation: 60-50=10, Resulting Numbers: [26, 10]
Generated Node #0,3,3: 41:[26, 10] Operation: 60-50=10
Exploring Operation: 60-26=34, Resulting Numbers: [50, 34]
Generated Node #0,3,4: 41:[50, 34] Operation: 60-26=34
Moving to Node #0,1
Current State: 41:[60, 26, 30], Operations: ['40-10=30']
Exploring Operation: 60/30=2, Resulting Numbers: [26, 2]
Generated Node #0,1,0: 41:[26, 2] Operation: 60/30=2
Exploring Operation: 60+26=86, Resulting Numbers: [30, 86]
Generated Node #0,1,1: 41:[30, 86] Operation: 60+26=86
Exploring Operation: 60-26=34, Resulting Numbers: [30, 34]
Generated Node #0,1,2: 41:[30, 34] Operation: 60-26=34
Exploring Operation: 26+30=56, Resulting Numbers: [60, 56]
Generated Node #0,1,3: 41:[60, 56] Operation: 26+30=56
Exploring Operation: 60-30=30, Resulting Numbers: [26, 30]
Generated Node #0,1,4: 41:[26, 30] Operation: 60-30=30
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[30, 34], Operations: ['40-10=30', '60-26=34']
Exploring Operation: 30+34=64, Resulting Numbers: [64]
64,41 unequal: No Solution
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,41 unequal: No Solution
Exploring Operation: 30*34=1020, Resulting Numbers: [1020]
1020,41 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: 41:[26, 30], Operations: ['40-10=30', '60-30=30']
Exploring Operation: 26*30=780, Resulting Numbers: [780]
780,41 unequal: No Solution
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,41 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,41 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: 41:[60, 56], Operations: ['40-10=30', '26+30=56']
Exploring Operation: 60+56=116, Resulting Numbers: [116]
116,41 unequal: No Solution
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,41 unequal: No Solution
Exploring Operation: 60*56=3360, Resulting Numbers: [3360]
3360,41 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: 41:[26, 2], Operations: ['40-10=30', '60/30=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,41 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,41 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,41 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: 41:[30, 86], Operations: ['40-10=30', '60+26=86']
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,41 unequal: No Solution
Exploring Operation: 30+86=116, Resulting Numbers: [116]
116,41 unequal: No Solution
Exploring Operation: 30*86=2580, Resulting Numbers: [2580]
2580,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,4
Current State: 41:[50, 34], Operations: ['40+10=50', '60-26=34']
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,41 unequal: No Solution
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 50*34=1700, Resulting Numbers: [1700]
1700,41 unequal: No Solution
Moving to Node #0,4,4
Current State: 41:[40, 24], Operations: ['60-10=50', '50-26=24']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 40+24=64, Resulting Numbers: [64]
64,41 unequal: No Solution
Exploring Operation: 40*24=960, Resulting Numbers: [960]
960,41 unequal: No Solution
Moving to Node #0,4,2
Current State: 41:[50, 66], Operations: ['60-10=50', '40+26=66']
Exploring Operation: 50*66=3300, Resulting Numbers: [3300]
3300,41 unequal: No Solution
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 50+66=116, Resulting Numbers: [116]
116,41 unequal: No Solution
Moving to Node #0,3,2
Current State: 41:[60, 24], Operations: ['40+10=50', '50-26=24']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,41 unequal: No Solution
Exploring Operation: 60+24=84, Resulting Numbers: [84]
84,41 unequal: No Solution
Exploring Operation: 60*24=1440, Resulting Numbers: [1440]
1440,41 unequal: No Solution
Moving to Node #0,4,1
Current State: 41:[50, 14], Operations: ['60-10=50', '40-26=14']
Exploring Operation: 50+14=64, Resulting Numbers: [64]
64,41 unequal: No Solution
Exploring Operation: 50*14=700, Resulting Numbers: [700]
700,41 unequal: No Solution
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,41 unequal: No Solution
Moving to Node #0,4,3
Current State: 41:[40, 76], Operations: ['60-10=50', '26+50=76']
Exploring Operation: 40*76=3040, Resulting Numbers: [3040]
3040,41 unequal: No Solution
Exploring Operation: 76-40=36, Resulting Numbers: [36]
36,41 unequal: No Solution
Exploring Operation: 40+76=116, Resulting Numbers: [116]
116,41 unequal: No Solution
Moving to Node #0,4,0
Current State: 41:[26, 10], Operations: ['60-10=50', '50-40=10']
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,41 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[26, 10], Operations: ['40+10=50', '60-50=10']
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,41 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,41 unequal: No Solution
Moving to Node #0,3,1
Current State: 41:[60, 76], Operations: ['40+10=50', '26+50=76']
Exploring Operation: 60*76=4560, Resulting Numbers: [4560]
4560,41 unequal: No Solution
Exploring Operation: 60+76=136, Resulting Numbers: [136]
136,41 unequal: No Solution
Exploring Operation: 76-60=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Moving to Node #0,3,0
Current State: 41:[50, 86], Operations: ['40+10=50', '60+26=86']
Exploring Operation: 50+86=136, Resulting Numbers: [136]
136,41 unequal: No Solution
Exploring Operation: 86-50=36, Resulting Numbers: [36]
36,41 unequal: No Solution
Exploring Operation: 50*86=4300, Resulting Numbers: [4300]
4300,41 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
45,
66,
73,
96
] | 88 | [
"45+66=111",
"96-73=23",
"111-23=88"
] | Current State: 88:[45, 66, 73, 96], Operations: []
Exploring Operation: 45+66=111, Resulting Numbers: [73, 96, 111]
Generated Node #2: [73, 96, 111] from Operation: 45+66=111
Current State: 88:[73, 96, 111], Operations: ['45+66=111']
Exploring Operation: 96-73=23, Resulting Numbers: [111, 23]
Generated Node #3: [111, 23] from Operation: 96-73=23
Current State: 88:[111, 23], Operations: ['45+66=111', '96-73=23']
Exploring Operation: 111-23=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[45, 66, 73, 96], Operations: []
Exploring Operation: 73-45=28, Resulting Numbers: [66, 96, 28]
Generated Node #0,0: 88:[66, 96, 28] Operation: 73-45=28
Exploring Operation: 96-73=23, Resulting Numbers: [45, 66, 23]
Generated Node #0,1: 88:[45, 66, 23] Operation: 96-73=23
Exploring Operation: 96-66=30, Resulting Numbers: [45, 73, 30]
Generated Node #0,2: 88:[45, 73, 30] Operation: 96-66=30
Exploring Operation: 66-45=21, Resulting Numbers: [73, 96, 21]
Generated Node #0,3: 88:[73, 96, 21] Operation: 66-45=21
Exploring Operation: 73-66=7, Resulting Numbers: [45, 96, 7]
Generated Node #0,4: 88:[45, 96, 7] Operation: 73-66=7
Moving to Node #0,4
Current State: 88:[45, 96, 7], Operations: ['73-66=7']
Exploring Operation: 45+7=52, Resulting Numbers: [96, 52]
Generated Node #0,4,0: 88:[96, 52] Operation: 45+7=52
Exploring Operation: 45-7=38, Resulting Numbers: [96, 38]
Generated Node #0,4,1: 88:[96, 38] Operation: 45-7=38
Exploring Operation: 96-7=89, Resulting Numbers: [45, 89]
Generated Node #0,4,2: 88:[45, 89] Operation: 96-7=89
Exploring Operation: 96-45=51, Resulting Numbers: [7, 51]
Generated Node #0,4,3: 88:[7, 51] Operation: 96-45=51
Exploring Operation: 96+7=103, Resulting Numbers: [45, 103]
Generated Node #0,4,4: 88:[45, 103] Operation: 96+7=103
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 88:[45, 89], Operations: ['73-66=7', '96-7=89']
Exploring Operation: 89-45=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Exploring Operation: 45+89=134, Resulting Numbers: [134]
134,88 unequal: No Solution
Exploring Operation: 45*89=4005, Resulting Numbers: [4005]
4005,88 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: 88:[7, 51], Operations: ['73-66=7', '96-45=51']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,88 unequal: No Solution
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,88 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: 88:[96, 38], Operations: ['73-66=7', '45-7=38']
Exploring Operation: 96-38=58, Resulting Numbers: [58]
58,88 unequal: No Solution
Exploring Operation: 96*38=3648, Resulting Numbers: [3648]
3648,88 unequal: No Solution
Exploring Operation: 96+38=134, Resulting Numbers: [134]
134,88 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: 88:[96, 52], Operations: ['73-66=7', '45+7=52']
Exploring Operation: 96+52=148, Resulting Numbers: [148]
148,88 unequal: No Solution
Exploring Operation: 96*52=4992, Resulting Numbers: [4992]
4992,88 unequal: No Solution
Exploring Operation: 96-52=44, Resulting Numbers: [44]
44,88 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: 88:[45, 103], Operations: ['73-66=7', '96+7=103']
Exploring Operation: 103-45=58, Resulting Numbers: [58]
58,88 unequal: No Solution
Exploring Operation: 45+103=148, Resulting Numbers: [148]
148,88 unequal: No Solution
Exploring Operation: 45*103=4635, Resulting Numbers: [4635]
4635,88 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: 88:[45, 73, 30], Operations: ['96-66=30']
Exploring Operation: 45+30=75, Resulting Numbers: [73, 75]
Generated Node #0,2,0: 88:[73, 75] Operation: 45+30=75
Exploring Operation: 73+30=103, Resulting Numbers: [45, 103]
Generated Node #0,2,1: 88:[45, 103] Operation: 73+30=103
Exploring Operation: 73-45=28, Resulting Numbers: [30, 28]
Generated Node #0,2,2: 88:[30, 28] Operation: 73-45=28
Exploring Operation: 73-30=43, Resulting Numbers: [45, 43]
Generated Node #0,2,3: 88:[45, 43] Operation: 73-30=43
Exploring Operation: 45-30=15, Resulting Numbers: [73, 15]
Generated Node #0,2,4: 88:[73, 15] Operation: 45-30=15
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 88:[45, 43], Operations: ['96-66=30', '73-30=43']
Exploring Operation: 45*43=1935, Resulting Numbers: [1935]
1935,88 unequal: No Solution
Exploring Operation: 45+43=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[45, 66, 73, 96], Operations: []
Exploring Operation: 96-66=30, Resulting Numbers: [45, 73, 30]
Generated Node #0,2: 88:[45, 73, 30] Operation: 96-66=30
Moving to Node #0,2
Current State: 88:[45, 73, 30], Operations: ['96-66=30']
Exploring Operation: 73-30=43, Resulting Numbers: [45, 43]
Generated Node #0,2,3: 88:[45, 43] Operation: 73-30=43
Moving to Node #0,2,3
Current State: 88:[45, 43], Operations: ['96-66=30', '73-30=43']
Exploring Operation: 45+43=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
5,
1,
71,
36
] | 31 | [
"5-1=4",
"71-36=35",
"35-4=31"
] | Current State: 31:[5, 1, 71, 36], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [71, 36, 4]
Generated Node #2: [71, 36, 4] from Operation: 5-1=4
Current State: 31:[71, 36, 4], Operations: ['5-1=4']
Exploring Operation: 71-36=35, Resulting Numbers: [4, 35]
Generated Node #3: [4, 35] from Operation: 71-36=35
Current State: 31:[4, 35], Operations: ['5-1=4', '71-36=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[5, 1, 71, 36], Operations: []
Exploring Operation: 71-5=66, Resulting Numbers: [1, 36, 66]
Generated Node #0,0: 31:[1, 36, 66] Operation: 71-5=66
Exploring Operation: 5+1=6, Resulting Numbers: [71, 36, 6]
Generated Node #0,1: 31:[71, 36, 6] Operation: 5+1=6
Exploring Operation: 71-36=35, Resulting Numbers: [5, 1, 35]
Generated Node #0,2: 31:[5, 1, 35] Operation: 71-36=35
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[5, 1, 35], Operations: ['71-36=35']
Exploring Operation: 5+1=6, Resulting Numbers: [35, 6]
Generated Node #0,2,0: 31:[35, 6] Operation: 5+1=6
Exploring Operation: 5*1=5, Resulting Numbers: [35, 5]
Generated Node #0,2,1: 31:[35, 5] Operation: 5*1=5
Exploring Operation: 35-1=34, Resulting Numbers: [5, 34]
Generated Node #0,2,2: 31:[5, 34] Operation: 35-1=34
Moving to Node #0,2,0
Current State: 31:[35, 6], Operations: ['71-36=35', '5+1=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,31 unequal: No Solution
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 35*6=210, Resulting Numbers: [210]
210,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[5, 34], Operations: ['71-36=35', '35-1=34']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,31 unequal: No Solution
Exploring Operation: 5*34=170, Resulting Numbers: [170]
170,31 unequal: No Solution
Exploring Operation: 5+34=39, Resulting Numbers: [39]
39,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[35, 5], Operations: ['71-36=35', '5*1=5']
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,31 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,31 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: 31:[1, 36, 66], Operations: ['71-5=66']
Exploring Operation: 66-36=30, Resulting Numbers: [1, 30]
Generated Node #0,0,0: 31:[1, 30] Operation: 66-36=30
Exploring Operation: 66-1=65, Resulting Numbers: [36, 65]
Generated Node #0,0,1: 31:[36, 65] Operation: 66-1=65
Exploring Operation: 36-1=35, Resulting Numbers: [66, 35]
Generated Node #0,0,2: 31:[66, 35] Operation: 36-1=35
Moving to Node #0,0,0
Current State: 31:[1, 30], Operations: ['71-5=66', '66-36=30']
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[5, 1, 71, 36], Operations: []
Exploring Operation: 71-5=66, Resulting Numbers: [1, 36, 66]
Generated Node #0,0: 31:[1, 36, 66] Operation: 71-5=66
Moving to Node #0,0
Current State: 31:[1, 36, 66], Operations: ['71-5=66']
Exploring Operation: 66-36=30, Resulting Numbers: [1, 30]
Generated Node #0,0,0: 31:[1, 30] Operation: 66-36=30
Moving to Node #0,0,0
Current State: 31:[1, 30], Operations: ['71-5=66', '66-36=30']
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_3 | sum_heuristic |
[
43,
6,
28,
50
] | 28 | [
"43+6=49",
"50-49=1",
"28*1=28"
] | Current State: 28:[43, 6, 28, 50], Operations: []
Exploring Operation: 43+6=49, Resulting Numbers: [28, 50, 49]
Generated Node #2: [28, 50, 49] from Operation: 43+6=49
Current State: 28:[28, 50, 49], Operations: ['43+6=49']
Exploring Operation: 50-49=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 50-49=1
Current State: 28:[28, 1], Operations: ['43+6=49', '50-49=1']
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[43, 6, 28, 50], Operations: []
Exploring Operation: 43-28=15, Resulting Numbers: [6, 50, 15]
Generated Node #0,0: 28:[6, 50, 15] Operation: 43-28=15
Exploring Operation: 50-43=7, Resulting Numbers: [6, 28, 7]
Generated Node #0,1: 28:[6, 28, 7] Operation: 50-43=7
Exploring Operation: 50-28=22, Resulting Numbers: [43, 6, 22]
Generated Node #0,2: 28:[43, 6, 22] Operation: 50-28=22
Exploring Operation: 43-6=37, Resulting Numbers: [28, 50, 37]
Generated Node #0,3: 28:[28, 50, 37] Operation: 43-6=37
Moving to Node #0,1
Current State: 28:[6, 28, 7], Operations: ['50-43=7']
Exploring Operation: 6+28=34, Resulting Numbers: [7, 34]
Generated Node #0,1,0: 28:[7, 34] Operation: 6+28=34
Exploring Operation: 6+7=13, Resulting Numbers: [28, 13]
Generated Node #0,1,1: 28:[28, 13] Operation: 6+7=13
Exploring Operation: 7-6=1, Resulting Numbers: [28, 1]
Generated Node #0,1,2: 28:[28, 1] Operation: 7-6=1
Exploring Operation: 28/7=4, Resulting Numbers: [6, 4]
Generated Node #0,1,3: 28:[6, 4] Operation: 28/7=4
Moving to Node #0,2
Current State: 28:[43, 6, 22], Operations: ['50-28=22']
Exploring Operation: 22-6=16, Resulting Numbers: [43, 16]
Generated Node #0,2,0: 28:[43, 16] Operation: 22-6=16
Exploring Operation: 43-22=21, Resulting Numbers: [6, 21]
Generated Node #0,2,1: 28:[6, 21] Operation: 43-22=21
Exploring Operation: 6+22=28, Resulting Numbers: [43, 28]
Generated Node #0,2,2: 28:[43, 28] Operation: 6+22=28
Exploring Operation: 43-6=37, Resulting Numbers: [22, 37]
Generated Node #0,2,3: 28:[22, 37] Operation: 43-6=37
Moving to Node #0,0
Current State: 28:[6, 50, 15], Operations: ['43-28=15']
Exploring Operation: 50-15=35, Resulting Numbers: [6, 35]
Generated Node #0,0,0: 28:[6, 35] Operation: 50-15=35
Exploring Operation: 6+50=56, Resulting Numbers: [15, 56]
Generated Node #0,0,1: 28:[15, 56] Operation: 6+50=56
Exploring Operation: 15-6=9, Resulting Numbers: [50, 9]
Generated Node #0,0,2: 28:[50, 9] Operation: 15-6=9
Exploring Operation: 50-6=44, Resulting Numbers: [15, 44]
Generated Node #0,0,3: 28:[15, 44] Operation: 50-6=44
Moving to Node #0,3
Current State: 28:[28, 50, 37], Operations: ['43-6=37']
Exploring Operation: 28+50=78, Resulting Numbers: [37, 78]
Generated Node #0,3,0: 28:[37, 78] Operation: 28+50=78
Exploring Operation: 50-28=22, Resulting Numbers: [37, 22]
Generated Node #0,3,1: 28:[37, 22] Operation: 50-28=22
Exploring Operation: 37-28=9, Resulting Numbers: [50, 9]
Generated Node #0,3,2: 28:[50, 9] Operation: 37-28=9
Exploring Operation: 50-37=13, Resulting Numbers: [28, 13]
Generated Node #0,3,3: 28:[28, 13] Operation: 50-37=13
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 28:[28, 13], Operations: ['43-6=37', '50-37=13']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,28 unequal: No Solution
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,28 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: 28:[37, 22], Operations: ['43-6=37', '50-28=22']
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 37*22=814, Resulting Numbers: [814]
814,28 unequal: No Solution
Exploring Operation: 37+22=59, Resulting Numbers: [59]
59,28 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: 28:[50, 9], Operations: ['43-6=37', '37-28=9']
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,28 unequal: No Solution
Exploring Operation: 50*9=450, Resulting Numbers: [450]
450,28 unequal: No Solution
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,28 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: 28:[37, 78], Operations: ['43-6=37', '28+50=78']
Exploring Operation: 37+78=115, Resulting Numbers: [115]
115,28 unequal: No Solution
Exploring Operation: 78-37=41, Resulting Numbers: [41]
41,28 unequal: No Solution
Exploring Operation: 37*78=2886, Resulting Numbers: [2886]
2886,28 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: 28:[28, 13], Operations: ['50-43=7', '6+7=13']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,28 unequal: No Solution
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,28 unequal: No Solution
Moving to Node #0,1,3
Current State: 28:[6, 4], Operations: ['50-43=7', '28/7=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Moving to Node #0,1,2
Current State: 28:[28, 1], Operations: ['50-43=7', '7-6=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,28 unequal: No Solution
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[43, 6, 28, 50], Operations: []
Exploring Operation: 50-43=7, Resulting Numbers: [6, 28, 7]
Generated Node #0,1: 28:[6, 28, 7] Operation: 50-43=7
Moving to Node #0,1
Current State: 28:[6, 28, 7], Operations: ['50-43=7']
Exploring Operation: 7-6=1, Resulting Numbers: [28, 1]
Generated Node #0,1,2: 28:[28, 1] Operation: 7-6=1
Moving to Node #0,1,2
Current State: 28:[28, 1], Operations: ['50-43=7', '7-6=1']
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 0.961806 | hs_4 | mult_heuristic |
[
16,
80,
85,
43
] | 64 | [
"80-16=64",
"85+43=128",
"128-64=64"
] | Current State: 64:[16, 80, 85, 43], Operations: []
Exploring Operation: 80-16=64, Resulting Numbers: [85, 43, 64]
Generated Node #2: [85, 43, 64] from Operation: 80-16=64
Current State: 64:[85, 43, 64], Operations: ['80-16=64']
Exploring Operation: 85+43=128, Resulting Numbers: [64, 128]
Generated Node #3: [64, 128] from Operation: 85+43=128
Current State: 64:[64, 128], Operations: ['80-16=64', '85+43=128']
Exploring Operation: 128-64=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[16, 80, 85, 43], Operations: []
Exploring Operation: 85-16=69, Resulting Numbers: [80, 43, 69]
Generated Node #0,0: 64:[80, 43, 69] Operation: 85-16=69
Exploring Operation: 85-43=42, Resulting Numbers: [16, 80, 42]
Generated Node #0,1: 64:[16, 80, 42] Operation: 85-43=42
Exploring Operation: 85-80=5, Resulting Numbers: [16, 43, 5]
Generated Node #0,2: 64:[16, 43, 5] Operation: 85-80=5
Exploring Operation: 80-16=64, Resulting Numbers: [85, 43, 64]
Generated Node #0,3: 64:[85, 43, 64] Operation: 80-16=64
Exploring Operation: 80-43=37, Resulting Numbers: [16, 85, 37]
Generated Node #0,4: 64:[16, 85, 37] Operation: 80-43=37
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[16, 43, 5], Operations: ['85-80=5']
Exploring Operation: 16+43=59, Resulting Numbers: [5, 59]
Generated Node #0,2,0: 64:[5, 59] Operation: 16+43=59
Exploring Operation: 16+5=21, Resulting Numbers: [43, 21]
Generated Node #0,2,1: 64:[43, 21] Operation: 16+5=21
Exploring Operation: 43-5=38, Resulting Numbers: [16, 38]
Generated Node #0,2,2: 64:[16, 38] Operation: 43-5=38
Exploring Operation: 16-5=11, Resulting Numbers: [43, 11]
Generated Node #0,2,3: 64:[43, 11] Operation: 16-5=11
Exploring Operation: 43-16=27, Resulting Numbers: [5, 27]
Generated Node #0,2,4: 64:[5, 27] Operation: 43-16=27
Moving to Node #0,2,0
Current State: 64:[5, 59], Operations: ['85-80=5', '16+43=59']
Exploring Operation: 5*59=295, Resulting Numbers: [295]
295,64 unequal: No Solution
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[16, 80, 85, 43], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [16, 43, 5]
Generated Node #0,2: 64:[16, 43, 5] Operation: 85-80=5
Moving to Node #0,2
Current State: 64:[16, 43, 5], Operations: ['85-80=5']
Exploring Operation: 16+43=59, Resulting Numbers: [5, 59]
Generated Node #0,2,0: 64:[5, 59] Operation: 16+43=59
Moving to Node #0,2,0
Current State: 64:[5, 59], Operations: ['85-80=5', '16+43=59']
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
82,
21,
44,
41
] | 64 | [
"82-21=61",
"44-41=3",
"61+3=64"
] | Current State: 64:[82, 21, 44, 41], Operations: []
Exploring Operation: 82-21=61, Resulting Numbers: [44, 41, 61]
Generated Node #2: [44, 41, 61] from Operation: 82-21=61
Current State: 64:[44, 41, 61], Operations: ['82-21=61']
Exploring Operation: 44-41=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 44-41=3
Current State: 64:[61, 3], Operations: ['82-21=61', '44-41=3']
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[82, 21, 44, 41], Operations: []
Exploring Operation: 82-44=38, Resulting Numbers: [21, 41, 38]
Generated Node #0,0: 64:[21, 41, 38] Operation: 82-44=38
Exploring Operation: 44-41=3, Resulting Numbers: [82, 21, 3]
Generated Node #0,1: 64:[82, 21, 3] Operation: 44-41=3
Exploring Operation: 82/41=2, Resulting Numbers: [21, 44, 2]
Generated Node #0,2: 64:[21, 44, 2] Operation: 82/41=2
Exploring Operation: 82-41=41, Resulting Numbers: [21, 44, 41]
Generated Node #0,3: 64:[21, 44, 41] Operation: 82-41=41
Exploring Operation: 82-21=61, Resulting Numbers: [44, 41, 61]
Generated Node #0,4: 64:[44, 41, 61] Operation: 82-21=61
Moving to Node #0,2
Current State: 64:[21, 44, 2], Operations: ['82/41=2']
Exploring Operation: 44-21=23, Resulting Numbers: [2, 23]
Generated Node #0,2,0: 64:[2, 23] Operation: 44-21=23
Exploring Operation: 44-2=42, Resulting Numbers: [21, 42]
Generated Node #0,2,1: 64:[21, 42] Operation: 44-2=42
Exploring Operation: 44/2=22, Resulting Numbers: [21, 22]
Generated Node #0,2,2: 64:[21, 22] Operation: 44/2=22
Exploring Operation: 21+44=65, Resulting Numbers: [2, 65]
Generated Node #0,2,3: 64:[2, 65] Operation: 21+44=65
Exploring Operation: 21-2=19, Resulting Numbers: [44, 19]
Generated Node #0,2,4: 64:[44, 19] Operation: 21-2=19
Moving to Node #0,0
Current State: 64:[21, 41, 38], Operations: ['82-44=38']
Exploring Operation: 41-21=20, Resulting Numbers: [38, 20]
Generated Node #0,0,0: 64:[38, 20] Operation: 41-21=20
Exploring Operation: 21+38=59, Resulting Numbers: [41, 59]
Generated Node #0,0,1: 64:[41, 59] Operation: 21+38=59
Exploring Operation: 38-21=17, Resulting Numbers: [41, 17]
Generated Node #0,0,2: 64:[41, 17] Operation: 38-21=17
Exploring Operation: 41-38=3, Resulting Numbers: [21, 3]
Generated Node #0,0,3: 64:[21, 3] Operation: 41-38=3
Exploring Operation: 21+41=62, Resulting Numbers: [38, 62]
Generated Node #0,0,4: 64:[38, 62] Operation: 21+41=62
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 64:[21, 3], Operations: ['82-44=38', '41-38=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,64 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 #0,0,4
Current State: 64:[38, 62], Operations: ['82-44=38', '21+41=62']
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,64 unequal: No Solution
Exploring Operation: 38+62=100, Resulting Numbers: [100]
100,64 unequal: No Solution
Exploring Operation: 38*62=2356, Resulting Numbers: [2356]
2356,64 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: 64:[38, 20], Operations: ['82-44=38', '41-21=20']
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,64 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,64 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: 64:[41, 17], Operations: ['82-44=38', '38-21=17']
Exploring Operation: 41+17=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 41*17=697, Resulting Numbers: [697]
697,64 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,64 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: 64:[41, 59], Operations: ['82-44=38', '21+38=59']
Exploring Operation: 41*59=2419, Resulting Numbers: [2419]
2419,64 unequal: No Solution
Exploring Operation: 41+59=100, Resulting Numbers: [100]
100,64 unequal: No Solution
Exploring Operation: 59-41=18, Resulting Numbers: [18]
18,64 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: 64:[82, 21, 3], Operations: ['44-41=3']
Exploring Operation: 21/3=7, Resulting Numbers: [82, 7]
Generated Node #0,1,0: 64:[82, 7] Operation: 21/3=7
Exploring Operation: 82-3=79, Resulting Numbers: [21, 79]
Generated Node #0,1,1: 64:[21, 79] Operation: 82-3=79
Exploring Operation: 21*3=63, Resulting Numbers: [82, 63]
Generated Node #0,1,2: 64:[82, 63] Operation: 21*3=63
Exploring Operation: 21-3=18, Resulting Numbers: [82, 18]
Generated Node #0,1,3: 64:[82, 18] Operation: 21-3=18
Exploring Operation: 82-21=61, Resulting Numbers: [3, 61]
Generated Node #0,1,4: 64:[3, 61] Operation: 82-21=61
Moving to Node #0,4
Current State: 64:[44, 41, 61], Operations: ['82-21=61']
Exploring Operation: 61-44=17, Resulting Numbers: [41, 17]
Generated Node #0,4,0: 64:[41, 17] Operation: 61-44=17
Exploring Operation: 61-41=20, Resulting Numbers: [44, 20]
Generated Node #0,4,1: 64:[44, 20] Operation: 61-41=20
Exploring Operation: 44+61=105, Resulting Numbers: [41, 105]
Generated Node #0,4,2: 64:[41, 105] Operation: 44+61=105
Exploring Operation: 44+41=85, Resulting Numbers: [61, 85]
Generated Node #0,4,3: 64:[61, 85] Operation: 44+41=85
Exploring Operation: 44-41=3, Resulting Numbers: [61, 3]
Generated Node #0,4,4: 64:[61, 3] Operation: 44-41=3
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 64:[61, 3], Operations: ['82-21=61', '44-41=3']
Exploring Operation: 61*3=183, Resulting Numbers: [183]
183,64 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[82, 21, 44, 41], Operations: []
Exploring Operation: 82-21=61, Resulting Numbers: [44, 41, 61]
Generated Node #0,4: 64:[44, 41, 61] Operation: 82-21=61
Moving to Node #0,4
Current State: 64:[44, 41, 61], Operations: ['82-21=61']
Exploring Operation: 44-41=3, Resulting Numbers: [61, 3]
Generated Node #0,4,4: 64:[61, 3] Operation: 44-41=3
Moving to Node #0,4,4
Current State: 64:[61, 3], Operations: ['82-21=61', '44-41=3']
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.958333 | hs_5 | mult_heuristic |
[
44,
15,
39,
29
] | 97 | [
"44-15=29",
"39+29=68",
"29+68=97"
] | Current State: 97:[44, 15, 39, 29], Operations: []
Exploring Operation: 44-15=29, Resulting Numbers: [39, 29, 29]
Generated Node #2: [39, 29, 29] from Operation: 44-15=29
Current State: 97:[39, 29, 29], Operations: ['44-15=29']
Exploring Operation: 39+29=68, Resulting Numbers: [68]
68,97 equal: Goal Reached
Exploring Operation: 29+68=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[44, 15, 39, 29], Operations: []
Exploring Operation: 44+29=73, Resulting Numbers: [15, 39, 73]
Generated Node #0,0: 97:[15, 39, 73] Operation: 44+29=73
Exploring Operation: 44+39=83, Resulting Numbers: [15, 29, 83]
Generated Node #0,1: 97:[15, 29, 83] Operation: 44+39=83
Exploring Operation: 44+15=59, Resulting Numbers: [39, 29, 59]
Generated Node #0,2: 97:[39, 29, 59] Operation: 44+15=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[15, 39, 73], Operations: ['44+29=73']
Exploring Operation: 15+73=88, Resulting Numbers: [39, 88]
Generated Node #0,0,0: 97:[39, 88] Operation: 15+73=88
Exploring Operation: 15+39=54, Resulting Numbers: [73, 54]
Generated Node #0,0,1: 97:[73, 54] Operation: 15+39=54
Exploring Operation: 39-15=24, Resulting Numbers: [73, 24]
Generated Node #0,0,2: 97:[73, 24] Operation: 39-15=24
Moving to Node #0,0,0
Current State: 97:[39, 88], Operations: ['44+29=73', '15+73=88']
Exploring Operation: 88-39=49, Resulting Numbers: [49]
49,97 unequal: No Solution
Exploring Operation: 39*88=3432, Resulting Numbers: [3432]
3432,97 unequal: No Solution
Exploring Operation: 39+88=127, Resulting Numbers: [127]
127,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[73, 54], Operations: ['44+29=73', '15+39=54']
Exploring Operation: 73*54=3942, Resulting Numbers: [3942]
3942,97 unequal: No Solution
Exploring Operation: 73+54=127, Resulting Numbers: [127]
127,97 unequal: No Solution
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[73, 24], Operations: ['44+29=73', '39-15=24']
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,97 unequal: No Solution
Exploring Operation: 73*24=1752, Resulting Numbers: [1752]
1752,97 unequal: No Solution
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[44, 15, 39, 29], Operations: []
Exploring Operation: 44+29=73, Resulting Numbers: [15, 39, 73]
Generated Node #0,0: 97:[15, 39, 73] Operation: 44+29=73
Moving to Node #0,0
Current State: 97:[15, 39, 73], Operations: ['44+29=73']
Exploring Operation: 39-15=24, Resulting Numbers: [73, 24]
Generated Node #0,0,2: 97:[73, 24] Operation: 39-15=24
Moving to Node #0,0,2
Current State: 97:[73, 24], Operations: ['44+29=73', '39-15=24']
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
25,
75,
46,
51
] | 94 | [
"75/25=3",
"46+51=97",
"97-3=94"
] | Current State: 94:[25, 75, 46, 51], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [46, 51, 3]
Generated Node #2: [46, 51, 3] from Operation: 75/25=3
Current State: 94:[46, 51, 3], Operations: ['75/25=3']
Exploring Operation: 46+51=97, Resulting Numbers: [3, 97]
Generated Node #3: [3, 97] from Operation: 46+51=97
Current State: 94:[3, 97], Operations: ['75/25=3', '46+51=97']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[25, 75, 46, 51], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [46, 51, 3]
Generated Node #0,0: 94:[46, 51, 3] Operation: 75/25=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[46, 51, 3], Operations: ['75/25=3']
Exploring Operation: 51-3=48, Resulting Numbers: [46, 48]
Generated Node #0,0,0: 94:[46, 48] Operation: 51-3=48
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[46, 48], Operations: ['75/25=3', '51-3=48']
Exploring Operation: 46+48=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[25, 75, 46, 51], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [46, 51, 3]
Generated Node #0,0: 94:[46, 51, 3] Operation: 75/25=3
Moving to Node #0,0
Current State: 94:[46, 51, 3], Operations: ['75/25=3']
Exploring Operation: 51-3=48, Resulting Numbers: [46, 48]
Generated Node #0,0,0: 94:[46, 48] Operation: 51-3=48
Moving to Node #0,0,0
Current State: 94:[46, 48], Operations: ['75/25=3', '51-3=48']
Exploring Operation: 46+48=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
7,
83,
15,
75
] | 64 | [
"15-7=8",
"83-75=8",
"8*8=64"
] | Current State: 64:[7, 83, 15, 75], Operations: []
Exploring Operation: 15-7=8, Resulting Numbers: [83, 75, 8]
Generated Node #2: [83, 75, 8] from Operation: 15-7=8
Current State: 64:[83, 75, 8], Operations: ['15-7=8']
Exploring Operation: 83-75=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 83-75=8
Current State: 64:[8, 8], Operations: ['15-7=8', '83-75=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[7, 83, 15, 75], Operations: []
Exploring Operation: 75/15=5, Resulting Numbers: [7, 83, 5]
Generated Node #0,0: 64:[7, 83, 5] Operation: 75/15=5
Exploring Operation: 83-15=68, Resulting Numbers: [7, 75, 68]
Generated Node #0,1: 64:[7, 75, 68] Operation: 83-15=68
Exploring Operation: 83-75=8, Resulting Numbers: [7, 15, 8]
Generated Node #0,2: 64:[7, 15, 8] Operation: 83-75=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[7, 15, 8], Operations: ['83-75=8']
Exploring Operation: 15-7=8, Resulting Numbers: [8, 8]
Generated Node #0,2,0: 64:[8, 8] Operation: 15-7=8
Exploring Operation: 7+8=15, Resulting Numbers: [15, 15]
Generated Node #0,2,1: 64:[15, 15] Operation: 7+8=15
Exploring Operation: 8-7=1, Resulting Numbers: [15, 1]
Generated Node #0,2,2: 64:[15, 1] Operation: 8-7=1
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 64:[8, 8], Operations: ['83-75=8', '15-7=8']
Exploring Operation: 8/8=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[7, 83, 15, 75], Operations: []
Exploring Operation: 83-75=8, Resulting Numbers: [7, 15, 8]
Generated Node #0,2: 64:[7, 15, 8] Operation: 83-75=8
Moving to Node #0,2
Current State: 64:[7, 15, 8], Operations: ['83-75=8']
Exploring Operation: 15-7=8, Resulting Numbers: [8, 8]
Generated Node #0,2,0: 64:[8, 8] Operation: 15-7=8
Moving to Node #0,2,0
Current State: 64:[8, 8], Operations: ['83-75=8', '15-7=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
5,
22,
28,
75
] | 63 | [
"5*22=110",
"75-28=47",
"110-47=63"
] | Current State: 63:[5, 22, 28, 75], Operations: []
Exploring Operation: 5*22=110, Resulting Numbers: [28, 75, 110]
Generated Node #2: [28, 75, 110] from Operation: 5*22=110
Current State: 63:[28, 75, 110], Operations: ['5*22=110']
Exploring Operation: 75-28=47, Resulting Numbers: [110, 47]
Generated Node #3: [110, 47] from Operation: 75-28=47
Current State: 63:[110, 47], Operations: ['5*22=110', '75-28=47']
Exploring Operation: 110-47=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[5, 22, 28, 75], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [22, 28, 15]
Generated Node #0,0: 63:[22, 28, 15] Operation: 75/5=15
Exploring Operation: 28-5=23, Resulting Numbers: [22, 75, 23]
Generated Node #0,1: 63:[22, 75, 23] Operation: 28-5=23
Exploring Operation: 75-5=70, Resulting Numbers: [22, 28, 70]
Generated Node #0,2: 63:[22, 28, 70] Operation: 75-5=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[22, 28, 15], Operations: ['75/5=15']
Exploring Operation: 28-22=6, Resulting Numbers: [15, 6]
Generated Node #0,0,0: 63:[15, 6] Operation: 28-22=6
Exploring Operation: 28-15=13, Resulting Numbers: [22, 13]
Generated Node #0,0,1: 63:[22, 13] Operation: 28-15=13
Exploring Operation: 22-15=7, Resulting Numbers: [28, 7]
Generated Node #0,0,2: 63:[28, 7] Operation: 22-15=7
Moving to Node #0,0,1
Current State: 63:[22, 13], Operations: ['75/5=15', '28-15=13']
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 22*13=286, Resulting Numbers: [286]
286,63 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[15, 6], Operations: ['75/5=15', '28-22=6']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,63 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,63 unequal: No Solution
Moving to Node #0,0,2
Current State: 63:[28, 7], Operations: ['75/5=15', '22-15=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,63 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 #0,1
Current State: 63:[22, 75, 23], Operations: ['28-5=23']
Exploring Operation: 75-23=52, Resulting Numbers: [22, 52]
Generated Node #0,1,0: 63:[22, 52] Operation: 75-23=52
Exploring Operation: 23-22=1, Resulting Numbers: [75, 1]
Generated Node #0,1,1: 63:[75, 1] Operation: 23-22=1
Exploring Operation: 75-22=53, Resulting Numbers: [23, 53]
Generated Node #0,1,2: 63:[23, 53] Operation: 75-22=53
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 63:[22, 52], Operations: ['28-5=23', '75-23=52']
Exploring Operation: 22+52=74, Resulting Numbers: [74]
74,63 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,63 unequal: No Solution
Exploring Operation: 22*52=1144, Resulting Numbers: [1144]
1144,63 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:[23, 53], Operations: ['28-5=23', '75-22=53']
Exploring Operation: 23*53=1219, Resulting Numbers: [1219]
1219,63 unequal: No Solution
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,63 unequal: No Solution
Exploring Operation: 23+53=76, Resulting Numbers: [76]
76,63 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:[75, 1], Operations: ['28-5=23', '23-22=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,63 unequal: No Solution
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,63 unequal: No Solution
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,63 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 #0,2
Current State: 63:[22, 28, 70], Operations: ['75-5=70']
Exploring Operation: 28-22=6, Resulting Numbers: [70, 6]
Generated Node #0,2,0: 63:[70, 6] Operation: 28-22=6
Exploring Operation: 22+28=50, Resulting Numbers: [70, 50]
Generated Node #0,2,1: 63:[70, 50] Operation: 22+28=50
Exploring Operation: 70-22=48, Resulting Numbers: [28, 48]
Generated Node #0,2,2: 63:[28, 48] Operation: 70-22=48
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 63:[70, 6], Operations: ['75-5=70', '28-22=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Exploring Operation: 70*6=420, Resulting Numbers: [420]
420,63 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 #0,2,1
Current State: 63:[70, 50], Operations: ['75-5=70', '22+28=50']
Exploring Operation: 70-50=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 70+50=120, Resulting Numbers: [120]
120,63 unequal: No Solution
Exploring Operation: 70*50=3500, Resulting Numbers: [3500]
3500,63 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:[28, 48], Operations: ['75-5=70', '70-22=48']
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 28+48=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 28*48=1344, Resulting Numbers: [1344]
1344,63 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_3 | mult_heuristic |
[
8,
35,
4,
52
] | 80 | [
"8+52=60",
"35*4=140",
"140-60=80"
] | Current State: 80:[8, 35, 4, 52], Operations: []
Exploring Operation: 8+52=60, Resulting Numbers: [35, 4, 60]
Generated Node #2: [35, 4, 60] from Operation: 8+52=60
Current State: 80:[35, 4, 60], Operations: ['8+52=60']
Exploring Operation: 35*4=140, Resulting Numbers: [60, 140]
Generated Node #3: [60, 140] from Operation: 35*4=140
Current State: 80:[60, 140], Operations: ['8+52=60', '35*4=140']
Exploring Operation: 140-60=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[8, 35, 4, 52], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [8, 35, 13]
Generated Node #0,0: 80:[8, 35, 13] Operation: 52/4=13
Exploring Operation: 52-35=17, Resulting Numbers: [8, 4, 17]
Generated Node #0,1: 80:[8, 4, 17] Operation: 52-35=17
Exploring Operation: 52-8=44, Resulting Numbers: [35, 4, 44]
Generated Node #0,2: 80:[35, 4, 44] Operation: 52-8=44
Exploring Operation: 35+52=87, Resulting Numbers: [8, 4, 87]
Generated Node #0,3: 80:[8, 4, 87] Operation: 35+52=87
Moving to Node #0,1
Current State: 80:[8, 4, 17], Operations: ['52-35=17']
Exploring Operation: 17-8=9, Resulting Numbers: [4, 9]
Generated Node #0,1,0: 80:[4, 9] Operation: 17-8=9
Exploring Operation: 4+17=21, Resulting Numbers: [8, 21]
Generated Node #0,1,1: 80:[8, 21] Operation: 4+17=21
Exploring Operation: 8-4=4, Resulting Numbers: [17, 4]
Generated Node #0,1,2: 80:[17, 4] Operation: 8-4=4
Exploring Operation: 8/4=2, Resulting Numbers: [17, 2]
Generated Node #0,1,3: 80:[17, 2] Operation: 8/4=2
Moving to Node #0,3
Current State: 80:[8, 4, 87], Operations: ['35+52=87']
Exploring Operation: 8/4=2, Resulting Numbers: [87, 2]
Generated Node #0,3,0: 80:[87, 2] Operation: 8/4=2
Exploring Operation: 87-8=79, Resulting Numbers: [4, 79]
Generated Node #0,3,1: 80:[4, 79] Operation: 87-8=79
Exploring Operation: 8-4=4, Resulting Numbers: [87, 4]
Generated Node #0,3,2: 80:[87, 4] Operation: 8-4=4
Exploring Operation: 87-4=83, Resulting Numbers: [8, 83]
Generated Node #0,3,3: 80:[8, 83] Operation: 87-4=83
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 80:[4, 79], Operations: ['35+52=87', '87-8=79']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Exploring Operation: 4*79=316, Resulting Numbers: [316]
316,80 unequal: No Solution
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,80 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: 80:[8, 83], Operations: ['35+52=87', '87-4=83']
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Exploring Operation: 8*83=664, Resulting Numbers: [664]
664,80 unequal: No Solution
Exploring Operation: 8+83=91, Resulting Numbers: [91]
91,80 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: 80:[87, 2], Operations: ['35+52=87', '8/4=2']
Exploring Operation: 87*2=174, Resulting Numbers: [174]
174,80 unequal: No Solution
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,80 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,80 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: 80:[87, 4], Operations: ['35+52=87', '8-4=4']
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,80 unequal: No Solution
Exploring Operation: 87*4=348, Resulting Numbers: [348]
348,80 unequal: No Solution
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,80 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: 80:[8, 35, 13], Operations: ['52/4=13']
Exploring Operation: 8+35=43, Resulting Numbers: [13, 43]
Generated Node #0,0,0: 80:[13, 43] Operation: 8+35=43
Exploring Operation: 13-8=5, Resulting Numbers: [35, 5]
Generated Node #0,0,1: 80:[35, 5] Operation: 13-8=5
Exploring Operation: 8+13=21, Resulting Numbers: [35, 21]
Generated Node #0,0,2: 80:[35, 21] Operation: 8+13=21
Exploring Operation: 35-13=22, Resulting Numbers: [8, 22]
Generated Node #0,0,3: 80:[8, 22] Operation: 35-13=22
Moving to Node #0,2
Current State: 80:[35, 4, 44], Operations: ['52-8=44']
Exploring Operation: 44-35=9, Resulting Numbers: [4, 9]
Generated Node #0,2,0: 80:[4, 9] Operation: 44-35=9
Exploring Operation: 35+44=79, Resulting Numbers: [4, 79]
Generated Node #0,2,1: 80:[4, 79] Operation: 35+44=79
Exploring Operation: 44-4=40, Resulting Numbers: [35, 40]
Generated Node #0,2,2: 80:[35, 40] Operation: 44-4=40
Exploring Operation: 35+4=39, Resulting Numbers: [44, 39]
Generated Node #0,2,3: 80:[44, 39] Operation: 35+4=39
Moving to Node #0,1,0
Current State: 80:[4, 9], Operations: ['52-35=17', '17-8=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,80 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,80 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[17, 4], Operations: ['52-35=17', '8-4=4']
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,80 unequal: No Solution
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[8, 21], Operations: ['52-35=17', '4+17=21']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,80 unequal: No Solution
Exploring Operation: 8*21=168, Resulting Numbers: [168]
168,80 unequal: No Solution
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[4, 79], Operations: ['52-8=44', '35+44=79']
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,80 unequal: No Solution
Exploring Operation: 4*79=316, Resulting Numbers: [316]
316,80 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[17, 2], Operations: ['52-35=17', '8/4=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[4, 9], Operations: ['52-8=44', '44-35=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,80 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,80 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[8, 22], Operations: ['52/4=13', '35-13=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 8*22=176, Resulting Numbers: [176]
176,80 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[35, 5], Operations: ['52/4=13', '13-8=5']
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 35*5=175, Resulting Numbers: [175]
175,80 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[44, 39], Operations: ['52-8=44', '35+4=39']
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 44*39=1716, Resulting Numbers: [1716]
1716,80 unequal: No Solution
Exploring Operation: 44+39=83, Resulting Numbers: [83]
83,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[35, 40], Operations: ['52-8=44', '44-4=40']
Exploring Operation: 35+40=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Exploring Operation: 35*40=1400, Resulting Numbers: [1400]
1400,80 unequal: No Solution
Exploring Operation: 40-35=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[13, 43], Operations: ['52/4=13', '8+35=43']
Exploring Operation: 13+43=56, Resulting Numbers: [56]
56,80 unequal: No Solution
Exploring Operation: 13*43=559, Resulting Numbers: [559]
559,80 unequal: No Solution
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[35, 21], Operations: ['52/4=13', '8+13=21']
Exploring Operation: 35*21=735, Resulting Numbers: [735]
735,80 unequal: No Solution
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Exploring Operation: 35+21=56, Resulting Numbers: [56]
56,80 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
49,
6,
90,
5
] | 73 | [
"49+6=55",
"90/5=18",
"55+18=73"
] | Current State: 73:[49, 6, 90, 5], Operations: []
Exploring Operation: 49+6=55, Resulting Numbers: [90, 5, 55]
Generated Node #2: [90, 5, 55] from Operation: 49+6=55
Current State: 73:[90, 5, 55], Operations: ['49+6=55']
Exploring Operation: 90/5=18, Resulting Numbers: [55, 18]
Generated Node #3: [55, 18] from Operation: 90/5=18
Current State: 73:[55, 18], Operations: ['49+6=55', '90/5=18']
Exploring Operation: 55+18=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[49, 6, 90, 5], Operations: []
Exploring Operation: 49+5=54, Resulting Numbers: [6, 90, 54]
Generated Node #0,0: 73:[6, 90, 54] Operation: 49+5=54
Exploring Operation: 49+6=55, Resulting Numbers: [90, 5, 55]
Generated Node #0,1: 73:[90, 5, 55] Operation: 49+6=55
Exploring Operation: 6*5=30, Resulting Numbers: [49, 90, 30]
Generated Node #0,2: 73:[49, 90, 30] Operation: 6*5=30
Moving to Node #0,2
Current State: 73:[49, 90, 30], Operations: ['6*5=30']
Exploring Operation: 49+30=79, Resulting Numbers: [90, 79]
Generated Node #0,2,0: 73:[90, 79] Operation: 49+30=79
Exploring Operation: 49-30=19, Resulting Numbers: [90, 19]
Generated Node #0,2,1: 73:[90, 19] Operation: 49-30=19
Exploring Operation: 90-30=60, Resulting Numbers: [49, 60]
Generated Node #0,2,2: 73:[49, 60] Operation: 90-30=60
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[90, 79], Operations: ['6*5=30', '49+30=79']
Exploring Operation: 90-79=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Exploring Operation: 90*79=7110, Resulting Numbers: [7110]
7110,73 unequal: No Solution
Exploring Operation: 90+79=169, Resulting Numbers: [169]
169,73 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 #0,2,2
Current State: 73:[49, 60], Operations: ['6*5=30', '90-30=60']
Exploring Operation: 49*60=2940, Resulting Numbers: [2940]
2940,73 unequal: No Solution
Exploring Operation: 60-49=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Exploring Operation: 49+60=109, Resulting Numbers: [109]
109,73 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 #0,2,1
Current State: 73:[90, 19], Operations: ['6*5=30', '49-30=19']
Exploring Operation: 90-19=71, Resulting Numbers: [71]
71,73 unequal: No Solution
Exploring Operation: 90+19=109, Resulting Numbers: [109]
109,73 unequal: No Solution
Exploring Operation: 90*19=1710, Resulting Numbers: [1710]
1710,73 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:[6, 90, 54], Operations: ['49+5=54']
Exploring Operation: 6+90=96, Resulting Numbers: [54, 96]
Generated Node #0,0,0: 73:[54, 96] Operation: 6+90=96
Exploring Operation: 6+54=60, Resulting Numbers: [90, 60]
Generated Node #0,0,1: 73:[90, 60] Operation: 6+54=60
Exploring Operation: 90-6=84, Resulting Numbers: [54, 84]
Generated Node #0,0,2: 73:[54, 84] Operation: 90-6=84
Moving to Node #0,1
Current State: 73:[90, 5, 55], Operations: ['49+6=55']
Exploring Operation: 90+5=95, Resulting Numbers: [55, 95]
Generated Node #0,1,0: 73:[55, 95] Operation: 90+5=95
Exploring Operation: 90-5=85, Resulting Numbers: [55, 85]
Generated Node #0,1,1: 73:[55, 85] Operation: 90-5=85
Exploring Operation: 5+55=60, Resulting Numbers: [90, 60]
Generated Node #0,1,2: 73:[90, 60] Operation: 5+55=60
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[55, 85], Operations: ['49+6=55', '90-5=85']
Exploring Operation: 55*85=4675, Resulting Numbers: [4675]
4675,73 unequal: No Solution
Exploring Operation: 55+85=140, Resulting Numbers: [140]
140,73 unequal: No Solution
Exploring Operation: 85-55=30, Resulting Numbers: [30]
30,73 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:[90, 60], Operations: ['49+6=55', '5+55=60']
Exploring Operation: 90-60=30, Resulting Numbers: [30]
30,73 unequal: No Solution
Exploring Operation: 90*60=5400, Resulting Numbers: [5400]
5400,73 unequal: No Solution
Exploring Operation: 90+60=150, Resulting Numbers: [150]
150,73 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 #0,1,0
Current State: 73:[55, 95], Operations: ['49+6=55', '90+5=95']
Exploring Operation: 55+95=150, Resulting Numbers: [150]
150,73 unequal: No Solution
Exploring Operation: 55*95=5225, Resulting Numbers: [5225]
5225,73 unequal: No Solution
Exploring Operation: 95-55=40, Resulting Numbers: [40]
40,73 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: 73:[90, 60], Operations: ['49+5=54', '6+54=60']
Exploring Operation: 90-60=30, Resulting Numbers: [30]
30,73 unequal: No Solution
Exploring Operation: 90+60=150, Resulting Numbers: [150]
150,73 unequal: No Solution
Exploring Operation: 90*60=5400, Resulting Numbers: [5400]
5400,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[54, 84], Operations: ['49+5=54', '90-6=84']
Exploring Operation: 84-54=30, Resulting Numbers: [30]
30,73 unequal: No Solution
Exploring Operation: 54+84=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 54*84=4536, Resulting Numbers: [4536]
4536,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[54, 96], Operations: ['49+5=54', '6+90=96']
Exploring Operation: 54+96=150, Resulting Numbers: [150]
150,73 unequal: No Solution
Exploring Operation: 96-54=42, Resulting Numbers: [42]
42,73 unequal: No Solution
Exploring Operation: 54*96=5184, Resulting Numbers: [5184]
5184,73 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
59,
36,
5,
7
] | 59 | [
"5*7=35",
"36-35=1",
"59*1=59"
] | Current State: 59:[59, 36, 5, 7], Operations: []
Exploring Operation: 5*7=35, Resulting Numbers: [59, 36, 35]
Generated Node #2: [59, 36, 35] from Operation: 5*7=35
Current State: 59:[59, 36, 35], Operations: ['5*7=35']
Exploring Operation: 36-35=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 36-35=1
Current State: 59:[59, 1], Operations: ['5*7=35', '36-35=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[59, 36, 5, 7], Operations: []
Exploring Operation: 5*7=35, Resulting Numbers: [59, 36, 35]
Generated Node #0,0: 59:[59, 36, 35] Operation: 5*7=35
Moving to Node #0,0
Current State: 59:[59, 36, 35], Operations: ['5*7=35']
Exploring Operation: 36+35=71, Resulting Numbers: [59, 71]
Generated Node #0,0,0: 59:[59, 71] Operation: 36+35=71
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[59, 71], Operations: ['5*7=35', '36+35=71']
Exploring Operation: 71-59=12, Resulting Numbers: [12]
12,59 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 |
[
52,
77,
5,
69
] | 39 | [
"77-52=25",
"69-5=64",
"64-25=39"
] | Current State: 39:[52, 77, 5, 69], Operations: []
Exploring Operation: 77-52=25, Resulting Numbers: [5, 69, 25]
Generated Node #2: [5, 69, 25] from Operation: 77-52=25
Current State: 39:[5, 69, 25], Operations: ['77-52=25']
Exploring Operation: 69-5=64, Resulting Numbers: [25, 64]
Generated Node #3: [25, 64] from Operation: 69-5=64
Current State: 39:[25, 64], Operations: ['77-52=25', '69-5=64']
Exploring Operation: 64-25=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[52, 77, 5, 69], Operations: []
Exploring Operation: 69-52=17, Resulting Numbers: [77, 5, 17]
Generated Node #0,0: 39:[77, 5, 17] Operation: 69-52=17
Exploring Operation: 77-52=25, Resulting Numbers: [5, 69, 25]
Generated Node #0,1: 39:[5, 69, 25] Operation: 77-52=25
Exploring Operation: 52-5=47, Resulting Numbers: [77, 69, 47]
Generated Node #0,2: 39:[77, 69, 47] Operation: 52-5=47
Exploring Operation: 77-69=8, Resulting Numbers: [52, 5, 8]
Generated Node #0,3: 39:[52, 5, 8] Operation: 77-69=8
Moving to Node #0,3
Current State: 39:[52, 5, 8], Operations: ['77-69=8']
Exploring Operation: 5+8=13, Resulting Numbers: [52, 13]
Generated Node #0,3,0: 39:[52, 13] Operation: 5+8=13
Exploring Operation: 8-5=3, Resulting Numbers: [52, 3]
Generated Node #0,3,1: 39:[52, 3] Operation: 8-5=3
Exploring Operation: 52-8=44, Resulting Numbers: [5, 44]
Generated Node #0,3,2: 39:[5, 44] Operation: 52-8=44
Exploring Operation: 52-5=47, Resulting Numbers: [8, 47]
Generated Node #0,3,3: 39:[8, 47] Operation: 52-5=47
Moving to Node #0,1
Current State: 39:[5, 69, 25], Operations: ['77-52=25']
Exploring Operation: 25/5=5, Resulting Numbers: [69, 5]
Generated Node #0,1,0: 39:[69, 5] Operation: 25/5=5
Exploring Operation: 69-25=44, Resulting Numbers: [5, 44]
Generated Node #0,1,1: 39:[5, 44] Operation: 69-25=44
Exploring Operation: 25-5=20, Resulting Numbers: [69, 20]
Generated Node #0,1,2: 39:[69, 20] Operation: 25-5=20
Exploring Operation: 69-5=64, Resulting Numbers: [25, 64]
Generated Node #0,1,3: 39:[25, 64] Operation: 69-5=64
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 39:[5, 44], Operations: ['77-52=25', '69-25=44']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[52, 77, 5, 69], Operations: []
Exploring Operation: 77-52=25, Resulting Numbers: [5, 69, 25]
Generated Node #0,1: 39:[5, 69, 25] Operation: 77-52=25
Moving to Node #0,1
Current State: 39:[5, 69, 25], Operations: ['77-52=25']
Exploring Operation: 69-25=44, Resulting Numbers: [5, 44]
Generated Node #0,1,1: 39:[5, 44] Operation: 69-25=44
Moving to Node #0,1,1
Current State: 39:[5, 44], Operations: ['77-52=25', '69-25=44']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
86,
96,
16,
52
] | 56 | [
"86+96=182",
"16*182=2912",
"2912/52=56"
] | Current State: 56:[86, 96, 16, 52], Operations: []
Exploring Operation: 86+96=182, Resulting Numbers: [16, 52, 182]
Generated Node #2: [16, 52, 182] from Operation: 86+96=182
Current State: 56:[16, 52, 182], Operations: ['86+96=182']
Exploring Operation: 16*182=2912, Resulting Numbers: [52, 2912]
Generated Node #3: [52, 2912] from Operation: 16*182=2912
Current State: 56:[52, 2912], Operations: ['86+96=182', '16*182=2912']
Exploring Operation: 2912/52=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[86, 96, 16, 52], Operations: []
Exploring Operation: 86-52=34, Resulting Numbers: [96, 16, 34]
Generated Node #0,0: 56:[96, 16, 34] Operation: 86-52=34
Exploring Operation: 96/16=6, Resulting Numbers: [86, 52, 6]
Generated Node #0,1: 56:[86, 52, 6] Operation: 96/16=6
Exploring Operation: 96-52=44, Resulting Numbers: [86, 16, 44]
Generated Node #0,2: 56:[86, 16, 44] Operation: 96-52=44
Exploring Operation: 96-86=10, Resulting Numbers: [16, 52, 10]
Generated Node #0,3: 56:[16, 52, 10] Operation: 96-86=10
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[16, 52, 10], Operations: ['96-86=10']
Exploring Operation: 16-10=6, Resulting Numbers: [52, 6]
Generated Node #0,3,0: 56:[52, 6] Operation: 16-10=6
Exploring Operation: 52+10=62, Resulting Numbers: [16, 62]
Generated Node #0,3,1: 56:[16, 62] Operation: 52+10=62
Exploring Operation: 16+10=26, Resulting Numbers: [52, 26]
Generated Node #0,3,2: 56:[52, 26] Operation: 16+10=26
Exploring Operation: 52-16=36, Resulting Numbers: [10, 36]
Generated Node #0,3,3: 56:[10, 36] Operation: 52-16=36
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 56:[52, 6], Operations: ['96-86=10', '16-10=6']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,56 unequal: No Solution
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 52*6=312, Resulting Numbers: [312]
312,56 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: 56:[52, 26], Operations: ['96-86=10', '16+10=26']
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 52+26=78, Resulting Numbers: [78]
78,56 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Exploring Operation: 52*26=1352, Resulting Numbers: [1352]
1352,56 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: 56:[16, 62], Operations: ['96-86=10', '52+10=62']
Exploring Operation: 62-16=46, Resulting Numbers: [46]
46,56 unequal: No Solution
Exploring Operation: 16*62=992, Resulting Numbers: [992]
992,56 unequal: No Solution
Exploring Operation: 16+62=78, Resulting Numbers: [78]
78,56 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: 56:[10, 36], Operations: ['96-86=10', '52-16=36']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,56 unequal: No Solution
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,56 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: 56:[86, 52, 6], Operations: ['96/16=6']
Exploring Operation: 86+6=92, Resulting Numbers: [52, 92]
Generated Node #0,1,0: 56:[52, 92] Operation: 86+6=92
Exploring Operation: 52+6=58, Resulting Numbers: [86, 58]
Generated Node #0,1,1: 56:[86, 58] Operation: 52+6=58
Exploring Operation: 86-52=34, Resulting Numbers: [6, 34]
Generated Node #0,1,2: 56:[6, 34] Operation: 86-52=34
Exploring Operation: 86-6=80, Resulting Numbers: [52, 80]
Generated Node #0,1,3: 56:[52, 80] Operation: 86-6=80
Moving to Node #0,1,2
Current State: 56:[6, 34], Operations: ['96/16=6', '86-52=34']
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 6*34=204, Resulting Numbers: [204]
204,56 unequal: No Solution
Moving to Node #0,1,3
Current State: 56:[52, 80], Operations: ['96/16=6', '86-6=80']
Exploring Operation: 80-52=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 52*80=4160, Resulting Numbers: [4160]
4160,56 unequal: No Solution
Exploring Operation: 52+80=132, Resulting Numbers: [132]
132,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[86, 58], Operations: ['96/16=6', '52+6=58']
Exploring Operation: 86-58=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 86*58=4988, Resulting Numbers: [4988]
4988,56 unequal: No Solution
Exploring Operation: 86+58=144, Resulting Numbers: [144]
144,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[52, 92], Operations: ['96/16=6', '86+6=92']
Exploring Operation: 52*92=4784, Resulting Numbers: [4784]
4784,56 unequal: No Solution
Exploring Operation: 52+92=144, Resulting Numbers: [144]
144,56 unequal: No Solution
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,56 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
Current State: 56:[86, 16, 44], Operations: ['96-52=44']
Exploring Operation: 86-44=42, Resulting Numbers: [16, 42]
Generated Node #0,2,0: 56:[16, 42] Operation: 86-44=42
Exploring Operation: 44-16=28, Resulting Numbers: [86, 28]
Generated Node #0,2,1: 56:[86, 28] Operation: 44-16=28
Exploring Operation: 16+44=60, Resulting Numbers: [86, 60]
Generated Node #0,2,2: 56:[86, 60] Operation: 16+44=60
Exploring Operation: 86-16=70, Resulting Numbers: [44, 70]
Generated Node #0,2,3: 56:[44, 70] Operation: 86-16=70
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 56:[16, 42], Operations: ['96-52=44', '86-44=42']
Exploring Operation: 16*42=672, Resulting Numbers: [672]
672,56 unequal: No Solution
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,56 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: 56:[44, 70], Operations: ['96-52=44', '86-16=70']
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 44+70=114, Resulting Numbers: [114]
114,56 unequal: No Solution
Exploring Operation: 44*70=3080, Resulting Numbers: [3080]
3080,56 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: 56:[86, 28], Operations: ['96-52=44', '44-16=28']
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 86*28=2408, Resulting Numbers: [2408]
2408,56 unequal: No Solution
Exploring Operation: 86+28=114, Resulting Numbers: [114]
114,56 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: 56:[86, 60], Operations: ['96-52=44', '16+44=60']
Exploring Operation: 86*60=5160, Resulting Numbers: [5160]
5160,56 unequal: No Solution
Exploring Operation: 86+60=146, Resulting Numbers: [146]
146,56 unequal: No Solution
Exploring Operation: 86-60=26, Resulting Numbers: [26]
26,56 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: 56:[96, 16, 34], Operations: ['86-52=34']
Exploring Operation: 96-16=80, Resulting Numbers: [34, 80]
Generated Node #0,0,0: 56:[34, 80] Operation: 96-16=80
Exploring Operation: 96-34=62, Resulting Numbers: [16, 62]
Generated Node #0,0,1: 56:[16, 62] Operation: 96-34=62
Exploring Operation: 34-16=18, Resulting Numbers: [96, 18]
Generated Node #0,0,2: 56:[96, 18] Operation: 34-16=18
Exploring Operation: 96/16=6, Resulting Numbers: [34, 6]
Generated Node #0,0,3: 56:[34, 6] Operation: 96/16=6
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 56:[34, 6], Operations: ['86-52=34', '96/16=6']
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,56 unequal: No Solution
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,56 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: 56:[16, 62], Operations: ['86-52=34', '96-34=62']
Exploring Operation: 16*62=992, Resulting Numbers: [992]
992,56 unequal: No Solution
Exploring Operation: 62-16=46, Resulting Numbers: [46]
46,56 unequal: No Solution
Exploring Operation: 16+62=78, Resulting Numbers: [78]
78,56 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: 56:[34, 80], Operations: ['86-52=34', '96-16=80']
Exploring Operation: 34+80=114, Resulting Numbers: [114]
114,56 unequal: No Solution
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,56 unequal: No Solution
Exploring Operation: 34*80=2720, Resulting Numbers: [2720]
2720,56 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: 56:[96, 18], Operations: ['86-52=34', '34-16=18']
Exploring Operation: 96+18=114, Resulting Numbers: [114]
114,56 unequal: No Solution
Exploring Operation: 96-18=78, Resulting Numbers: [78]
78,56 unequal: No Solution
Exploring Operation: 96*18=1728, Resulting Numbers: [1728]
1728,56 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 | sum_heuristic |
[
7,
57,
5,
37
] | 65 | [
"57-7=50",
"50-37=13",
"5*13=65"
] | Current State: 65:[7, 57, 5, 37], Operations: []
Exploring Operation: 57-7=50, Resulting Numbers: [5, 37, 50]
Generated Node #2: [5, 37, 50] from Operation: 57-7=50
Current State: 65:[5, 37, 50], Operations: ['57-7=50']
Exploring Operation: 50-37=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 50-37=13
Current State: 65:[5, 13], Operations: ['57-7=50', '50-37=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[7, 57, 5, 37], Operations: []
Exploring Operation: 37-7=30, Resulting Numbers: [57, 5, 30]
Generated Node #0,0: 65:[57, 5, 30] Operation: 37-7=30
Exploring Operation: 57-37=20, Resulting Numbers: [7, 5, 20]
Generated Node #0,1: 65:[7, 5, 20] Operation: 57-37=20
Exploring Operation: 7+57=64, Resulting Numbers: [5, 37, 64]
Generated Node #0,2: 65:[5, 37, 64] Operation: 7+57=64
Moving to Node #0,1
Current State: 65:[7, 5, 20], Operations: ['57-37=20']
Exploring Operation: 20/5=4, Resulting Numbers: [7, 4]
Generated Node #0,1,0: 65:[7, 4] Operation: 20/5=4
Exploring Operation: 20-5=15, Resulting Numbers: [7, 15]
Generated Node #0,1,1: 65:[7, 15] Operation: 20-5=15
Exploring Operation: 20-7=13, Resulting Numbers: [5, 13]
Generated Node #0,1,2: 65:[5, 13] Operation: 20-7=13
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 65:[5, 13], Operations: ['57-37=20', '20-7=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[7, 57, 5, 37], Operations: []
Exploring Operation: 57-37=20, Resulting Numbers: [7, 5, 20]
Generated Node #0,1: 65:[7, 5, 20] Operation: 57-37=20
Moving to Node #0,1
Current State: 65:[7, 5, 20], Operations: ['57-37=20']
Exploring Operation: 20-7=13, Resulting Numbers: [5, 13]
Generated Node #0,1,2: 65:[5, 13] Operation: 20-7=13
Moving to Node #0,1,2
Current State: 65:[5, 13], Operations: ['57-37=20', '20-7=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
53,
52,
2,
80
] | 29 | [
"53+80=133",
"52*2=104",
"133-104=29"
] | Current State: 29:[53, 52, 2, 80], Operations: []
Exploring Operation: 53+80=133, Resulting Numbers: [52, 2, 133]
Generated Node #2: [52, 2, 133] from Operation: 53+80=133
Current State: 29:[52, 2, 133], Operations: ['53+80=133']
Exploring Operation: 52*2=104, Resulting Numbers: [133, 104]
Generated Node #3: [133, 104] from Operation: 52*2=104
Current State: 29:[133, 104], Operations: ['53+80=133', '52*2=104']
Exploring Operation: 133-104=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[53, 52, 2, 80], Operations: []
Exploring Operation: 80-53=27, Resulting Numbers: [52, 2, 27]
Generated Node #0,0: 29:[52, 2, 27] Operation: 80-53=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[52, 2, 27], Operations: ['80-53=27']
Exploring Operation: 52/2=26, Resulting Numbers: [27, 26]
Generated Node #0,0,0: 29:[27, 26] Operation: 52/2=26
Moving to Node #0,0,0
Current State: 29:[27, 26], Operations: ['80-53=27', '52/2=26']
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,29 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 |
[
34,
57,
47,
2
] | 29 | [
"57-47=10",
"10/2=5",
"34-5=29"
] | Current State: 29:[34, 57, 47, 2], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [34, 2, 10]
Generated Node #2: [34, 2, 10] from Operation: 57-47=10
Current State: 29:[34, 2, 10], Operations: ['57-47=10']
Exploring Operation: 10/2=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 10/2=5
Current State: 29:[34, 5], Operations: ['57-47=10', '10/2=5']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[34, 57, 47, 2], Operations: []
Exploring Operation: 57-2=55, Resulting Numbers: [34, 47, 55]
Generated Node #0,0: 29:[34, 47, 55] Operation: 57-2=55
Exploring Operation: 57-47=10, Resulting Numbers: [34, 2, 10]
Generated Node #0,1: 29:[34, 2, 10] Operation: 57-47=10
Exploring Operation: 34-2=32, Resulting Numbers: [57, 47, 32]
Generated Node #0,2: 29:[57, 47, 32] Operation: 34-2=32
Exploring Operation: 47-2=45, Resulting Numbers: [34, 57, 45]
Generated Node #0,3: 29:[34, 57, 45] Operation: 47-2=45
Exploring Operation: 57-34=23, Resulting Numbers: [47, 2, 23]
Generated Node #0,4: 29:[47, 2, 23] Operation: 57-34=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[34, 47, 55], Operations: ['57-2=55']
Exploring Operation: 55-47=8, Resulting Numbers: [34, 8]
Generated Node #0,0,0: 29:[34, 8] Operation: 55-47=8
Exploring Operation: 47-34=13, Resulting Numbers: [55, 13]
Generated Node #0,0,1: 29:[55, 13] Operation: 47-34=13
Exploring Operation: 34+55=89, Resulting Numbers: [47, 89]
Generated Node #0,0,2: 29:[47, 89] Operation: 34+55=89
Exploring Operation: 55-34=21, Resulting Numbers: [47, 21]
Generated Node #0,0,3: 29:[47, 21] Operation: 55-34=21
Exploring Operation: 34+47=81, Resulting Numbers: [55, 81]
Generated Node #0,0,4: 29:[55, 81] Operation: 34+47=81
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 29:[34, 8], Operations: ['57-2=55', '55-47=8']
Exploring Operation: 34*8=272, Resulting Numbers: [272]
272,29 unequal: No Solution
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,29 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: 29:[47, 21], Operations: ['57-2=55', '55-34=21']
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,29 unequal: No Solution
Exploring Operation: 47*21=987, Resulting Numbers: [987]
987,29 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: 29:[55, 13], Operations: ['57-2=55', '47-34=13']
Exploring Operation: 55+13=68, Resulting Numbers: [68]
68,29 unequal: No Solution
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Exploring Operation: 55*13=715, Resulting Numbers: [715]
715,29 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: 29:[47, 89], Operations: ['57-2=55', '34+55=89']
Exploring Operation: 47+89=136, Resulting Numbers: [136]
136,29 unequal: No Solution
Exploring Operation: 47*89=4183, Resulting Numbers: [4183]
4183,29 unequal: No Solution
Exploring Operation: 89-47=42, Resulting Numbers: [42]
42,29 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: 29:[55, 81], Operations: ['57-2=55', '34+47=81']
Exploring Operation: 55+81=136, Resulting Numbers: [136]
136,29 unequal: No Solution
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 55*81=4455, Resulting Numbers: [4455]
4455,29 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: 29:[57, 47, 32], Operations: ['34-2=32']
Exploring Operation: 57+47=104, Resulting Numbers: [32, 104]
Generated Node #0,2,0: 29:[32, 104] Operation: 57+47=104
Exploring Operation: 57+32=89, Resulting Numbers: [47, 89]
Generated Node #0,2,1: 29:[47, 89] Operation: 57+32=89
Exploring Operation: 57-47=10, Resulting Numbers: [32, 10]
Generated Node #0,2,2: 29:[32, 10] Operation: 57-47=10
Exploring Operation: 47-32=15, Resulting Numbers: [57, 15]
Generated Node #0,2,3: 29:[57, 15] Operation: 47-32=15
Exploring Operation: 57-32=25, Resulting Numbers: [47, 25]
Generated Node #0,2,4: 29:[47, 25] Operation: 57-32=25
Moving to Node #0,2,2
Current State: 29:[32, 10], Operations: ['34-2=32', '57-47=10']
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 32*10=320, Resulting Numbers: [320]
320,29 unequal: No Solution
Moving to Node #0,2,4
Current State: 29:[47, 25], Operations: ['34-2=32', '57-32=25']
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 47*25=1175, Resulting Numbers: [1175]
1175,29 unequal: No Solution
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[57, 15], Operations: ['34-2=32', '47-32=15']
Exploring Operation: 57+15=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 57*15=855, Resulting Numbers: [855]
855,29 unequal: No Solution
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[32, 104], Operations: ['34-2=32', '57+47=104']
Exploring Operation: 32*104=3328, Resulting Numbers: [3328]
3328,29 unequal: No Solution
Exploring Operation: 32+104=136, Resulting Numbers: [136]
136,29 unequal: No Solution
Exploring Operation: 104-32=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Moving to Node #0,2,1
Current State: 29:[47, 89], Operations: ['34-2=32', '57+32=89']
Exploring Operation: 47+89=136, Resulting Numbers: [136]
136,29 unequal: No Solution
Exploring Operation: 47*89=4183, Resulting Numbers: [4183]
4183,29 unequal: No Solution
Exploring Operation: 89-47=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 #0,3
Current State: 29:[34, 57, 45], Operations: ['47-2=45']
Exploring Operation: 57-34=23, Resulting Numbers: [45, 23]
Generated Node #0,3,0: 29:[45, 23] Operation: 57-34=23
Exploring Operation: 34+57=91, Resulting Numbers: [45, 91]
Generated Node #0,3,1: 29:[45, 91] Operation: 34+57=91
Exploring Operation: 57-45=12, Resulting Numbers: [34, 12]
Generated Node #0,3,2: 29:[34, 12] Operation: 57-45=12
Exploring Operation: 34+45=79, Resulting Numbers: [57, 79]
Generated Node #0,3,3: 29:[57, 79] Operation: 34+45=79
Exploring Operation: 45-34=11, Resulting Numbers: [57, 11]
Generated Node #0,3,4: 29:[57, 11] Operation: 45-34=11
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 29:[45, 23], Operations: ['47-2=45', '57-34=23']
Exploring Operation: 45*23=1035, Resulting Numbers: [1035]
1035,29 unequal: No Solution
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 45+23=68, Resulting Numbers: [68]
68,29 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: 29:[34, 12], Operations: ['47-2=45', '57-45=12']
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 34*12=408, Resulting Numbers: [408]
408,29 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: 29:[57, 11], Operations: ['47-2=45', '45-34=11']
Exploring Operation: 57+11=68, Resulting Numbers: [68]
68,29 unequal: No Solution
Exploring Operation: 57-11=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 57*11=627, Resulting Numbers: [627]
627,29 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: 29:[45, 91], Operations: ['47-2=45', '34+57=91']
Exploring Operation: 45*91=4095, Resulting Numbers: [4095]
4095,29 unequal: No Solution
Exploring Operation: 91-45=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 45+91=136, Resulting Numbers: [136]
136,29 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: 29:[57, 79], Operations: ['47-2=45', '34+45=79']
Exploring Operation: 57+79=136, Resulting Numbers: [136]
136,29 unequal: No Solution
Exploring Operation: 57*79=4503, Resulting Numbers: [4503]
4503,29 unequal: No Solution
Exploring Operation: 79-57=22, Resulting Numbers: [22]
22,29 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: 29:[34, 2, 10], Operations: ['57-47=10']
Exploring Operation: 34+2=36, Resulting Numbers: [10, 36]
Generated Node #0,1,0: 29:[10, 36] Operation: 34+2=36
Exploring Operation: 2+10=12, Resulting Numbers: [34, 12]
Generated Node #0,1,1: 29:[34, 12] Operation: 2+10=12
Exploring Operation: 34-2=32, Resulting Numbers: [10, 32]
Generated Node #0,1,2: 29:[10, 32] Operation: 34-2=32
Exploring Operation: 2*10=20, Resulting Numbers: [34, 20]
Generated Node #0,1,3: 29:[34, 20] Operation: 2*10=20
Exploring Operation: 10-2=8, Resulting Numbers: [34, 8]
Generated Node #0,1,4: 29:[34, 8] Operation: 10-2=8
Moving to Node #0,1,3
Current State: 29:[34, 20], Operations: ['57-47=10', '2*10=20']
Exploring Operation: 34+20=54, Resulting Numbers: [54]
54,29 unequal: No Solution
Exploring Operation: 34-20=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 34*20=680, Resulting Numbers: [680]
680,29 unequal: No Solution
Moving to Node #0,1,2
Current State: 29:[10, 32], Operations: ['57-47=10', '34-2=32']
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Exploring Operation: 10*32=320, Resulting Numbers: [320]
320,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[34, 12], Operations: ['57-47=10', '2+10=12']
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 34*12=408, Resulting Numbers: [408]
408,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[10, 36], Operations: ['57-47=10', '34+2=36']
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,29 unequal: No Solution
Moving to Node #0,1,4
Current State: 29:[34, 8], Operations: ['57-47=10', '10-2=8']
Exploring Operation: 34*8=272, Resulting Numbers: [272]
272,29 unequal: No Solution
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 34+8=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
Current State: 29:[47, 2, 23], Operations: ['57-34=23']
Exploring Operation: 23-2=21, Resulting Numbers: [47, 21]
Generated Node #0,4,0: 29:[47, 21] Operation: 23-2=21
Exploring Operation: 47-2=45, Resulting Numbers: [23, 45]
Generated Node #0,4,1: 29:[23, 45] Operation: 47-2=45
Exploring Operation: 47+2=49, Resulting Numbers: [23, 49]
Generated Node #0,4,2: 29:[23, 49] Operation: 47+2=49
Exploring Operation: 47-23=24, Resulting Numbers: [2, 24]
Generated Node #0,4,3: 29:[2, 24] Operation: 47-23=24
Exploring Operation: 2+23=25, Resulting Numbers: [47, 25]
Generated Node #0,4,4: 29:[47, 25] Operation: 2+23=25
Moving to Node #0,4,1
Current State: 29:[23, 45], Operations: ['57-34=23', '47-2=45']
Exploring Operation: 23*45=1035, Resulting Numbers: [1035]
1035,29 unequal: No Solution
Exploring Operation: 23+45=68, Resulting Numbers: [68]
68,29 unequal: No Solution
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Moving to Node #0,4,4
Current State: 29:[47, 25], Operations: ['57-34=23', '2+23=25']
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 47*25=1175, Resulting Numbers: [1175]
1175,29 unequal: No Solution
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Moving to Node #0,4,0
Current State: 29:[47, 21], Operations: ['57-34=23', '23-2=21']
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,29 unequal: No Solution
Exploring Operation: 47*21=987, Resulting Numbers: [987]
987,29 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Moving to Node #0,4,2
Current State: 29:[23, 49], Operations: ['57-34=23', '47+2=49']
Exploring Operation: 23*49=1127, Resulting Numbers: [1127]
1127,29 unequal: No Solution
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 23+49=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Moving to Node #0,4,3
Current State: 29:[2, 24], Operations: ['57-34=23', '47-23=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,29 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 |
[
40,
81,
7,
10
] | 29 | [
"81-40=41",
"7*10=70",
"70-41=29"
] | Current State: 29:[40, 81, 7, 10], Operations: []
Exploring Operation: 81-40=41, Resulting Numbers: [7, 10, 41]
Generated Node #2: [7, 10, 41] from Operation: 81-40=41
Current State: 29:[7, 10, 41], Operations: ['81-40=41']
Exploring Operation: 7*10=70, Resulting Numbers: [41, 70]
Generated Node #3: [41, 70] from Operation: 7*10=70
Current State: 29:[41, 70], Operations: ['81-40=41', '7*10=70']
Exploring Operation: 70-41=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[40, 81, 7, 10], Operations: []
Exploring Operation: 40-10=30, Resulting Numbers: [81, 7, 30]
Generated Node #0,0: 29:[81, 7, 30] Operation: 40-10=30
Exploring Operation: 40-7=33, Resulting Numbers: [81, 10, 33]
Generated Node #0,1: 29:[81, 10, 33] Operation: 40-7=33
Exploring Operation: 81-40=41, Resulting Numbers: [7, 10, 41]
Generated Node #0,2: 29:[7, 10, 41] Operation: 81-40=41
Moving to Node #0,2
Current State: 29:[7, 10, 41], Operations: ['81-40=41']
Exploring Operation: 41-10=31, Resulting Numbers: [7, 31]
Generated Node #0,2,0: 29:[7, 31] Operation: 41-10=31
Exploring Operation: 41-7=34, Resulting Numbers: [10, 34]
Generated Node #0,2,1: 29:[10, 34] Operation: 41-7=34
Exploring Operation: 7+10=17, Resulting Numbers: [41, 17]
Generated Node #0,2,2: 29:[41, 17] Operation: 7+10=17
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[7, 31], Operations: ['81-40=41', '41-10=31']
Exploring Operation: 7*31=217, Resulting Numbers: [217]
217,29 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,29 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 #0,2,1
Current State: 29:[10, 34], Operations: ['81-40=41', '41-7=34']
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 10*34=340, Resulting Numbers: [340]
340,29 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:[41, 17], Operations: ['81-40=41', '7+10=17']
Exploring Operation: 41+17=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 41*17=697, Resulting Numbers: [697]
697,29 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,29 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:[81, 7, 30], Operations: ['40-10=30']
Exploring Operation: 81-7=74, Resulting Numbers: [30, 74]
Generated Node #0,0,0: 29:[30, 74] Operation: 81-7=74
Exploring Operation: 81-30=51, Resulting Numbers: [7, 51]
Generated Node #0,0,1: 29:[7, 51] Operation: 81-30=51
Exploring Operation: 30-7=23, Resulting Numbers: [81, 23]
Generated Node #0,0,2: 29:[81, 23] Operation: 30-7=23
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[7, 51], Operations: ['40-10=30', '81-30=51']
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,29 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,29 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 #0,0,0
Current State: 29:[30, 74], Operations: ['40-10=30', '81-7=74']
Exploring Operation: 30*74=2220, Resulting Numbers: [2220]
2220,29 unequal: No Solution
Exploring Operation: 30+74=104, Resulting Numbers: [104]
104,29 unequal: No Solution
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,29 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 #0,0,2
Current State: 29:[81, 23], Operations: ['40-10=30', '30-7=23']
Exploring Operation: 81+23=104, Resulting Numbers: [104]
104,29 unequal: No Solution
Exploring Operation: 81-23=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 81*23=1863, Resulting Numbers: [1863]
1863,29 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: 29:[81, 10, 33], Operations: ['40-7=33']
Exploring Operation: 33-10=23, Resulting Numbers: [81, 23]
Generated Node #0,1,0: 29:[81, 23] Operation: 33-10=23
Exploring Operation: 81-10=71, Resulting Numbers: [33, 71]
Generated Node #0,1,1: 29:[33, 71] Operation: 81-10=71
Exploring Operation: 81-33=48, Resulting Numbers: [10, 48]
Generated Node #0,1,2: 29:[10, 48] Operation: 81-33=48
Moving to Node #0,1,2
Current State: 29:[10, 48], Operations: ['40-7=33', '81-33=48']
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,29 unequal: No Solution
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[33, 71], Operations: ['40-7=33', '81-10=71']
Exploring Operation: 33+71=104, Resulting Numbers: [104]
104,29 unequal: No Solution
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Exploring Operation: 33*71=2343, Resulting Numbers: [2343]
2343,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[81, 23], Operations: ['40-7=33', '33-10=23']
Exploring Operation: 81*23=1863, Resulting Numbers: [1863]
1863,29 unequal: No Solution
Exploring Operation: 81+23=104, Resulting Numbers: [104]
104,29 unequal: No Solution
Exploring Operation: 81-23=58, Resulting Numbers: [58]
58,29 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
88,
15,
2,
52
] | 85 | [
"88+52=140",
"140/2=70",
"15+70=85"
] | Current State: 85:[88, 15, 2, 52], Operations: []
Exploring Operation: 88+52=140, Resulting Numbers: [15, 2, 140]
Generated Node #2: [15, 2, 140] from Operation: 88+52=140
Current State: 85:[15, 2, 140], Operations: ['88+52=140']
Exploring Operation: 140/2=70, Resulting Numbers: [15, 70]
Generated Node #3: [15, 70] from Operation: 140/2=70
Current State: 85:[15, 70], Operations: ['88+52=140', '140/2=70']
Exploring Operation: 15+70=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[88, 15, 2, 52], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [88, 15, 26]
Generated Node #0,0: 85:[88, 15, 26] Operation: 52/2=26
Exploring Operation: 15+52=67, Resulting Numbers: [88, 2, 67]
Generated Node #0,1: 85:[88, 2, 67] Operation: 15+52=67
Exploring Operation: 88-52=36, Resulting Numbers: [15, 2, 36]
Generated Node #0,2: 85:[15, 2, 36] Operation: 88-52=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[88, 15, 26], Operations: ['52/2=26']
Exploring Operation: 88-15=73, Resulting Numbers: [26, 73]
Generated Node #0,0,0: 85:[26, 73] Operation: 88-15=73
Exploring Operation: 88-26=62, Resulting Numbers: [15, 62]
Generated Node #0,0,1: 85:[15, 62] Operation: 88-26=62
Exploring Operation: 26-15=11, Resulting Numbers: [88, 11]
Generated Node #0,0,2: 85:[88, 11] Operation: 26-15=11
Moving to Node #0,0,2
Current State: 85:[88, 11], Operations: ['52/2=26', '26-15=11']
Exploring Operation: 88/11=8, Resulting Numbers: [8]
8,85 unequal: No Solution
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,85 unequal: No Solution
Exploring Operation: 88+11=99, Resulting Numbers: [99]
99,85 unequal: No Solution
Moving to Node #0,0,0
Current State: 85:[26, 73], Operations: ['52/2=26', '88-15=73']
Exploring Operation: 26*73=1898, Resulting Numbers: [1898]
1898,85 unequal: No Solution
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,85 unequal: No Solution
Exploring Operation: 26+73=99, Resulting Numbers: [99]
99,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[15, 62], Operations: ['52/2=26', '88-26=62']
Exploring Operation: 15+62=77, Resulting Numbers: [77]
77,85 unequal: No Solution
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,85 unequal: No Solution
Exploring Operation: 15*62=930, Resulting Numbers: [930]
930,85 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:[88, 2, 67], Operations: ['15+52=67']
Exploring Operation: 88-2=86, Resulting Numbers: [67, 86]
Generated Node #0,1,0: 85:[67, 86] Operation: 88-2=86
Exploring Operation: 2+67=69, Resulting Numbers: [88, 69]
Generated Node #0,1,1: 85:[88, 69] Operation: 2+67=69
Exploring Operation: 88-67=21, Resulting Numbers: [2, 21]
Generated Node #0,1,2: 85:[2, 21] Operation: 88-67=21
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 85:[2, 21], Operations: ['15+52=67', '88-67=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,85 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,85 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:[67, 86], Operations: ['15+52=67', '88-2=86']
Exploring Operation: 86-67=19, Resulting Numbers: [19]
19,85 unequal: No Solution
Exploring Operation: 67*86=5762, Resulting Numbers: [5762]
5762,85 unequal: No Solution
Exploring Operation: 67+86=153, Resulting Numbers: [153]
153,85 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:[88, 69], Operations: ['15+52=67', '2+67=69']
Exploring Operation: 88*69=6072, Resulting Numbers: [6072]
6072,85 unequal: No Solution
Exploring Operation: 88+69=157, Resulting Numbers: [157]
157,85 unequal: No Solution
Exploring Operation: 88-69=19, Resulting Numbers: [19]
19,85 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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[15, 2, 36], Operations: ['88-52=36']
Exploring Operation: 2*36=72, Resulting Numbers: [15, 72]
Generated Node #0,2,0: 85:[15, 72] Operation: 2*36=72
Exploring Operation: 36-15=21, Resulting Numbers: [2, 21]
Generated Node #0,2,1: 85:[2, 21] Operation: 36-15=21
Exploring Operation: 36/2=18, Resulting Numbers: [15, 18]
Generated Node #0,2,2: 85:[15, 18] Operation: 36/2=18
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 85:[15, 18], Operations: ['88-52=36', '36/2=18']
Exploring Operation: 15+18=33, Resulting Numbers: [33]
33,85 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 15*18=270, Resulting Numbers: [270]
270,85 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 #0,2,1
Current State: 85:[2, 21], Operations: ['88-52=36', '36-15=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,85 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,85 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 #0,2,0
Current State: 85:[15, 72], Operations: ['88-52=36', '2*36=72']
Exploring Operation: 15*72=1080, Resulting Numbers: [1080]
1080,85 unequal: No Solution
Exploring Operation: 15+72=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,85 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_3 | mult_heuristic |
[
66,
31,
52,
69
] | 63 | [
"69-66=3",
"52-31=21",
"3*21=63"
] | Current State: 63:[66, 31, 52, 69], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [31, 52, 3]
Generated Node #2: [31, 52, 3] from Operation: 69-66=3
Current State: 63:[31, 52, 3], Operations: ['69-66=3']
Exploring Operation: 52-31=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 52-31=21
Current State: 63:[3, 21], Operations: ['69-66=3', '52-31=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[66, 31, 52, 69], Operations: []
Exploring Operation: 69-52=17, Resulting Numbers: [66, 31, 17]
Generated Node #0,0: 63:[66, 31, 17] Operation: 69-52=17
Exploring Operation: 52-31=21, Resulting Numbers: [66, 69, 21]
Generated Node #0,1: 63:[66, 69, 21] Operation: 52-31=21
Moving to Node #0,1
Current State: 63:[66, 69, 21], Operations: ['52-31=21']
Exploring Operation: 69-21=48, Resulting Numbers: [66, 48]
Generated Node #0,1,0: 63:[66, 48] Operation: 69-21=48
Exploring Operation: 69-66=3, Resulting Numbers: [21, 3]
Generated Node #0,1,1: 63:[21, 3] Operation: 69-66=3
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[21, 3], Operations: ['52-31=21', '69-66=3']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[66, 31, 52, 69], Operations: []
Exploring Operation: 52-31=21, Resulting Numbers: [66, 69, 21]
Generated Node #0,1: 63:[66, 69, 21] Operation: 52-31=21
Moving to Node #0,1
Current State: 63:[66, 69, 21], Operations: ['52-31=21']
Exploring Operation: 69-66=3, Resulting Numbers: [21, 3]
Generated Node #0,1,1: 63:[21, 3] Operation: 69-66=3
Moving to Node #0,1,1
Current State: 63:[21, 3], Operations: ['52-31=21', '69-66=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
29,
97,
5,
50
] | 71 | [
"29+97=126",
"5+50=55",
"126-55=71"
] | Current State: 71:[29, 97, 5, 50], Operations: []
Exploring Operation: 29+97=126, Resulting Numbers: [5, 50, 126]
Generated Node #2: [5, 50, 126] from Operation: 29+97=126
Current State: 71:[5, 50, 126], Operations: ['29+97=126']
Exploring Operation: 5+50=55, Resulting Numbers: [126, 55]
Generated Node #3: [126, 55] from Operation: 5+50=55
Current State: 71:[126, 55], Operations: ['29+97=126', '5+50=55']
Exploring Operation: 126-55=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[29, 97, 5, 50], Operations: []
Exploring Operation: 29+5=34, Resulting Numbers: [97, 50, 34]
Generated Node #0,0: 71:[97, 50, 34] Operation: 29+5=34
Exploring Operation: 5+50=55, Resulting Numbers: [29, 97, 55]
Generated Node #0,1: 71:[29, 97, 55] Operation: 5+50=55
Exploring Operation: 97-29=68, Resulting Numbers: [5, 50, 68]
Generated Node #0,2: 71:[5, 50, 68] Operation: 97-29=68
Exploring Operation: 97-5=92, Resulting Numbers: [29, 50, 92]
Generated Node #0,3: 71:[29, 50, 92] Operation: 97-5=92
Exploring Operation: 29-5=24, Resulting Numbers: [97, 50, 24]
Generated Node #0,4: 71:[97, 50, 24] Operation: 29-5=24
Moving to Node #0,0
Current State: 71:[97, 50, 34], Operations: ['29+5=34']
Exploring Operation: 50-34=16, Resulting Numbers: [97, 16]
Generated Node #0,0,0: 71:[97, 16] Operation: 50-34=16
Exploring Operation: 97-50=47, Resulting Numbers: [34, 47]
Generated Node #0,0,1: 71:[34, 47] Operation: 97-50=47
Exploring Operation: 97+34=131, Resulting Numbers: [50, 131]
Generated Node #0,0,2: 71:[50, 131] Operation: 97+34=131
Exploring Operation: 97-34=63, Resulting Numbers: [50, 63]
Generated Node #0,0,3: 71:[50, 63] Operation: 97-34=63
Exploring Operation: 50+34=84, Resulting Numbers: [97, 84]
Generated Node #0,0,4: 71:[97, 84] Operation: 50+34=84
Moving to Node #0,3
Current State: 71:[29, 50, 92], Operations: ['97-5=92']
Exploring Operation: 29+50=79, Resulting Numbers: [92, 79]
Generated Node #0,3,0: 71:[92, 79] Operation: 29+50=79
Exploring Operation: 29+92=121, Resulting Numbers: [50, 121]
Generated Node #0,3,1: 71:[50, 121] Operation: 29+92=121
Exploring Operation: 92-29=63, Resulting Numbers: [50, 63]
Generated Node #0,3,2: 71:[50, 63] Operation: 92-29=63
Exploring Operation: 92-50=42, Resulting Numbers: [29, 42]
Generated Node #0,3,3: 71:[29, 42] Operation: 92-50=42
Exploring Operation: 50-29=21, Resulting Numbers: [92, 21]
Generated Node #0,3,4: 71:[92, 21] Operation: 50-29=21
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 71:[92, 79], Operations: ['97-5=92', '29+50=79']
Exploring Operation: 92-79=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 92+79=171, Resulting Numbers: [171]
171,71 unequal: No Solution
Exploring Operation: 92*79=7268, Resulting Numbers: [7268]
7268,71 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: 71:[50, 63], Operations: ['97-5=92', '92-29=63']
Exploring Operation: 50*63=3150, Resulting Numbers: [3150]
3150,71 unequal: No Solution
Exploring Operation: 50+63=113, Resulting Numbers: [113]
113,71 unequal: No Solution
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,71 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: 71:[50, 121], Operations: ['97-5=92', '29+92=121']
Exploring Operation: 121-50=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[29, 97, 5, 50], Operations: []
Exploring Operation: 97-5=92, Resulting Numbers: [29, 50, 92]
Generated Node #0,3: 71:[29, 50, 92] Operation: 97-5=92
Moving to Node #0,3
Current State: 71:[29, 50, 92], Operations: ['97-5=92']
Exploring Operation: 29+92=121, Resulting Numbers: [50, 121]
Generated Node #0,3,1: 71:[50, 121] Operation: 29+92=121
Moving to Node #0,3,1
Current State: 71:[50, 121], Operations: ['97-5=92', '29+92=121']
Exploring Operation: 121-50=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | mult_heuristic |
[
9,
45,
65,
43
] | 72 | [
"45-9=36",
"65+43=108",
"108-36=72"
] | Current State: 72:[9, 45, 65, 43], Operations: []
Exploring Operation: 45-9=36, Resulting Numbers: [65, 43, 36]
Generated Node #2: [65, 43, 36] from Operation: 45-9=36
Current State: 72:[65, 43, 36], Operations: ['45-9=36']
Exploring Operation: 65+43=108, Resulting Numbers: [36, 108]
Generated Node #3: [36, 108] from Operation: 65+43=108
Current State: 72:[36, 108], Operations: ['45-9=36', '65+43=108']
Exploring Operation: 108-36=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[9, 45, 65, 43], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [9, 65, 2]
Generated Node #0,0: 72:[9, 65, 2] Operation: 45-43=2
Exploring Operation: 65-45=20, Resulting Numbers: [9, 43, 20]
Generated Node #0,1: 72:[9, 43, 20] Operation: 65-45=20
Moving to Node #0,0
Current State: 72:[9, 65, 2], Operations: ['45-43=2']
Exploring Operation: 9+65=74, Resulting Numbers: [2, 74]
Generated Node #0,0,0: 72:[2, 74] Operation: 9+65=74
Exploring Operation: 65+2=67, Resulting Numbers: [9, 67]
Generated Node #0,0,1: 72:[9, 67] Operation: 65+2=67
Moving to Node #0,1
Current State: 72:[9, 43, 20], Operations: ['65-45=20']
Exploring Operation: 43-9=34, Resulting Numbers: [20, 34]
Generated Node #0,1,0: 72:[20, 34] Operation: 43-9=34
Exploring Operation: 43-20=23, Resulting Numbers: [9, 23]
Generated Node #0,1,1: 72:[9, 23] Operation: 43-20=23
Moving to Node #0,1,1
Current State: 72:[9, 23], Operations: ['65-45=20', '43-20=23']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[2, 74], Operations: ['45-43=2', '9+65=74']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[9, 45, 65, 43], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [9, 65, 2]
Generated Node #0,0: 72:[9, 65, 2] Operation: 45-43=2
Moving to Node #0,0
Current State: 72:[9, 65, 2], Operations: ['45-43=2']
Exploring Operation: 9+65=74, Resulting Numbers: [2, 74]
Generated Node #0,0,0: 72:[2, 74] Operation: 9+65=74
Moving to Node #0,0,0
Current State: 72:[2, 74], Operations: ['45-43=2', '9+65=74']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.988715 | hs_2 | sum_heuristic |
[
6,
60,
19,
3
] | 98 | [
"6*19=114",
"114/3=38",
"60+38=98"
] | Current State: 98:[6, 60, 19, 3], Operations: []
Exploring Operation: 6*19=114, Resulting Numbers: [60, 3, 114]
Generated Node #2: [60, 3, 114] from Operation: 6*19=114
Current State: 98:[60, 3, 114], Operations: ['6*19=114']
Exploring Operation: 114/3=38, Resulting Numbers: [60, 38]
Generated Node #3: [60, 38] from Operation: 114/3=38
Current State: 98:[60, 38], Operations: ['6*19=114', '114/3=38']
Exploring Operation: 60+38=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[6, 60, 19, 3], Operations: []
Exploring Operation: 60-6=54, Resulting Numbers: [19, 3, 54]
Generated Node #0,0: 98:[19, 3, 54] Operation: 60-6=54
Exploring Operation: 60/6=10, Resulting Numbers: [19, 3, 10]
Generated Node #0,1: 98:[19, 3, 10] Operation: 60/6=10
Exploring Operation: 60-19=41, Resulting Numbers: [6, 3, 41]
Generated Node #0,2: 98:[6, 3, 41] Operation: 60-19=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[19, 3, 10], Operations: ['60/6=10']
Exploring Operation: 10-3=7, Resulting Numbers: [19, 7]
Generated Node #0,1,0: 98:[19, 7] Operation: 10-3=7
Exploring Operation: 19-3=16, Resulting Numbers: [10, 16]
Generated Node #0,1,1: 98:[10, 16] Operation: 19-3=16
Exploring Operation: 19-10=9, Resulting Numbers: [3, 9]
Generated Node #0,1,2: 98:[3, 9] Operation: 19-10=9
Moving to Node #0,1,2
Current State: 98:[3, 9], Operations: ['60/6=10', '19-10=9']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,98 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[19, 7], Operations: ['60/6=10', '10-3=7']
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,98 unequal: No Solution
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,98 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[10, 16], Operations: ['60/6=10', '19-3=16']
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,98 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,98 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 #0,2
Current State: 98:[6, 3, 41], Operations: ['60-19=41']
Exploring Operation: 3+41=44, Resulting Numbers: [6, 44]
Generated Node #0,2,0: 98:[6, 44] Operation: 3+41=44
Exploring Operation: 6+41=47, Resulting Numbers: [3, 47]
Generated Node #0,2,1: 98:[3, 47] Operation: 6+41=47
Exploring Operation: 6/3=2, Resulting Numbers: [41, 2]
Generated Node #0,2,2: 98:[41, 2] Operation: 6/3=2
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 98:[3, 47], Operations: ['60-19=41', '6+41=47']
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,98 unequal: No Solution
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,98 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,98 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 #0,2,0
Current State: 98:[6, 44], Operations: ['60-19=41', '3+41=44']
Exploring Operation: 6*44=264, Resulting Numbers: [264]
264,98 unequal: No Solution
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,98 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,98 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 #0,2,2
Current State: 98:[41, 2], Operations: ['60-19=41', '6/3=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,98 unequal: No Solution
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,98 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 #0,0
Current State: 98:[19, 3, 54], Operations: ['60-6=54']
Exploring Operation: 54-3=51, Resulting Numbers: [19, 51]
Generated Node #0,0,0: 98:[19, 51] Operation: 54-3=51
Exploring Operation: 19-3=16, Resulting Numbers: [54, 16]
Generated Node #0,0,1: 98:[54, 16] Operation: 19-3=16
Exploring Operation: 54/3=18, Resulting Numbers: [19, 18]
Generated Node #0,0,2: 98:[19, 18] Operation: 54/3=18
Moving to Node #0,0,0
Current State: 98:[19, 51], Operations: ['60-6=54', '54-3=51']
Exploring Operation: 19*51=969, Resulting Numbers: [969]
969,98 unequal: No Solution
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,98 unequal: No Solution
Exploring Operation: 19+51=70, Resulting Numbers: [70]
70,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[54, 16], Operations: ['60-6=54', '19-3=16']
Exploring Operation: 54*16=864, Resulting Numbers: [864]
864,98 unequal: No Solution
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Exploring Operation: 54+16=70, Resulting Numbers: [70]
70,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[19, 18], Operations: ['60-6=54', '54/3=18']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,98 unequal: No Solution
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
6,
8,
54,
4
] | 23 | [
"8-6=2",
"54/2=27",
"27-4=23"
] | Current State: 23:[6, 8, 54, 4], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [54, 4, 2]
Generated Node #2: [54, 4, 2] from Operation: 8-6=2
Current State: 23:[54, 4, 2], Operations: ['8-6=2']
Exploring Operation: 54/2=27, Resulting Numbers: [4, 27]
Generated Node #3: [4, 27] from Operation: 54/2=27
Current State: 23:[4, 27], Operations: ['8-6=2', '54/2=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[6, 8, 54, 4], Operations: []
Exploring Operation: 6*4=24, Resulting Numbers: [8, 54, 24]
Generated Node #0,0: 23:[8, 54, 24] Operation: 6*4=24
Exploring Operation: 8*4=32, Resulting Numbers: [6, 54, 32]
Generated Node #0,1: 23:[6, 54, 32] Operation: 8*4=32
Exploring Operation: 54-6=48, Resulting Numbers: [8, 4, 48]
Generated Node #0,2: 23:[8, 4, 48] Operation: 54-6=48
Exploring Operation: 54/6=9, Resulting Numbers: [8, 4, 9]
Generated Node #0,3: 23:[8, 4, 9] Operation: 54/6=9
Exploring Operation: 6+8=14, Resulting Numbers: [54, 4, 14]
Generated Node #0,4: 23:[54, 4, 14] Operation: 6+8=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[8, 54, 24], Operations: ['6*4=24']
Exploring Operation: 8+24=32, Resulting Numbers: [54, 32]
Generated Node #0,0,0: 23:[54, 32] Operation: 8+24=32
Exploring Operation: 8+54=62, Resulting Numbers: [24, 62]
Generated Node #0,0,1: 23:[24, 62] Operation: 8+54=62
Exploring Operation: 54-24=30, Resulting Numbers: [8, 30]
Generated Node #0,0,2: 23:[8, 30] Operation: 54-24=30
Exploring Operation: 24-8=16, Resulting Numbers: [54, 16]
Generated Node #0,0,3: 23:[54, 16] Operation: 24-8=16
Exploring Operation: 54-8=46, Resulting Numbers: [24, 46]
Generated Node #0,0,4: 23:[24, 46] Operation: 54-8=46
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 23:[8, 30], Operations: ['6*4=24', '54-24=30']
Exploring Operation: 8+30=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 8*30=240, Resulting Numbers: [240]
240,23 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,23 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: 23:[24, 46], Operations: ['6*4=24', '54-8=46']
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Exploring Operation: 24*46=1104, Resulting Numbers: [1104]
1104,23 unequal: No Solution
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,23 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: 23:[54, 16], Operations: ['6*4=24', '24-8=16']
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 54+16=70, Resulting Numbers: [70]
70,23 unequal: No Solution
Exploring Operation: 54*16=864, Resulting Numbers: [864]
864,23 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: 23:[54, 32], Operations: ['6*4=24', '8+24=32']
Exploring Operation: 54+32=86, Resulting Numbers: [86]
86,23 unequal: No Solution
Exploring Operation: 54*32=1728, Resulting Numbers: [1728]
1728,23 unequal: No Solution
Exploring Operation: 54-32=22, Resulting Numbers: [22]
22,23 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: 23:[24, 62], Operations: ['6*4=24', '8+54=62']
Exploring Operation: 24*62=1488, Resulting Numbers: [1488]
1488,23 unequal: No Solution
Exploring Operation: 62-24=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 24+62=86, Resulting Numbers: [86]
86,23 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
Start Sub Search at level 1: Moving to Node #0,3
Current State: 23:[8, 4, 9], Operations: ['54/6=9']
Exploring Operation: 8+9=17, Resulting Numbers: [4, 17]
Generated Node #0,3,0: 23:[4, 17] Operation: 8+9=17
Exploring Operation: 8*4=32, Resulting Numbers: [9, 32]
Generated Node #0,3,1: 23:[9, 32] Operation: 8*4=32
Exploring Operation: 4*9=36, Resulting Numbers: [8, 36]
Generated Node #0,3,2: 23:[8, 36] Operation: 4*9=36
Exploring Operation: 8+4=12, Resulting Numbers: [9, 12]
Generated Node #0,3,3: 23:[9, 12] Operation: 8+4=12
Exploring Operation: 4+9=13, Resulting Numbers: [8, 13]
Generated Node #0,3,4: 23:[8, 13] Operation: 4+9=13
Moving to Node #0,3,1
Current State: 23:[9, 32], Operations: ['54/6=9', '8*4=32']
Exploring Operation: 9*32=288, Resulting Numbers: [288]
288,23 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[6, 8, 54, 4], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [8, 4, 9]
Generated Node #0,3: 23:[8, 4, 9] Operation: 54/6=9
Moving to Node #0,3
Current State: 23:[8, 4, 9], Operations: ['54/6=9']
Exploring Operation: 8*4=32, Resulting Numbers: [9, 32]
Generated Node #0,3,1: 23:[9, 32] Operation: 8*4=32
Moving to Node #0,3,1
Current State: 23:[9, 32], Operations: ['54/6=9', '8*4=32']
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
79,
23,
46,
16
] | 93 | [
"79+16=95",
"46/23=2",
"95-2=93"
] | Current State: 93:[79, 23, 46, 16], Operations: []
Exploring Operation: 79+16=95, Resulting Numbers: [23, 46, 95]
Generated Node #2: [23, 46, 95] from Operation: 79+16=95
Current State: 93:[23, 46, 95], Operations: ['79+16=95']
Exploring Operation: 46/23=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 46/23=2
Current State: 93:[95, 2], Operations: ['79+16=95', '46/23=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[79, 23, 46, 16], Operations: []
Exploring Operation: 79+16=95, Resulting Numbers: [23, 46, 95]
Generated Node #0,0: 93:[23, 46, 95] Operation: 79+16=95
Exploring Operation: 79-46=33, Resulting Numbers: [23, 16, 33]
Generated Node #0,1: 93:[23, 16, 33] Operation: 79-46=33
Exploring Operation: 46-16=30, Resulting Numbers: [79, 23, 30]
Generated Node #0,2: 93:[79, 23, 30] Operation: 46-16=30
Moving to Node #0,1
Current State: 93:[23, 16, 33], Operations: ['79-46=33']
Exploring Operation: 23-16=7, Resulting Numbers: [33, 7]
Generated Node #0,1,0: 93:[33, 7] Operation: 23-16=7
Exploring Operation: 33-23=10, Resulting Numbers: [16, 10]
Generated Node #0,1,1: 93:[16, 10] Operation: 33-23=10
Exploring Operation: 23+16=39, Resulting Numbers: [33, 39]
Generated Node #0,1,2: 93:[33, 39] Operation: 23+16=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[33, 7], Operations: ['79-46=33', '23-16=7']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,93 unequal: No Solution
Exploring Operation: 33+7=40, Resulting Numbers: [40]
40,93 unequal: No Solution
Exploring Operation: 33*7=231, Resulting Numbers: [231]
231,93 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 #0,1,2
Current State: 93:[33, 39], Operations: ['79-46=33', '23+16=39']
Exploring Operation: 33*39=1287, Resulting Numbers: [1287]
1287,93 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,93 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 #0,1,1
Current State: 93:[16, 10], Operations: ['79-46=33', '33-23=10']
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,93 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,93 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: 93:[79, 23, 30], Operations: ['46-16=30']
Exploring Operation: 79+30=109, Resulting Numbers: [23, 109]
Generated Node #0,2,0: 93:[23, 109] Operation: 79+30=109
Exploring Operation: 30-23=7, Resulting Numbers: [79, 7]
Generated Node #0,2,1: 93:[79, 7] Operation: 30-23=7
Exploring Operation: 79+23=102, Resulting Numbers: [30, 102]
Generated Node #0,2,2: 93:[30, 102] Operation: 79+23=102
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[30, 102], Operations: ['46-16=30', '79+23=102']
Exploring Operation: 30+102=132, Resulting Numbers: [132]
132,93 unequal: No Solution
Exploring Operation: 30*102=3060, Resulting Numbers: [3060]
3060,93 unequal: No Solution
Exploring Operation: 102-30=72, Resulting Numbers: [72]
72,93 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 #0,2,1
Current State: 93:[79, 7], Operations: ['46-16=30', '30-23=7']
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Exploring Operation: 79*7=553, Resulting Numbers: [553]
553,93 unequal: No Solution
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,93 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 #0,2,0
Current State: 93:[23, 109], Operations: ['46-16=30', '79+30=109']
Exploring Operation: 23+109=132, Resulting Numbers: [132]
132,93 unequal: No Solution
Exploring Operation: 109-23=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Exploring Operation: 23*109=2507, Resulting Numbers: [2507]
2507,93 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: 93:[23, 46, 95], Operations: ['79+16=95']
Exploring Operation: 46/23=2, Resulting Numbers: [95, 2]
Generated Node #0,0,0: 93:[95, 2] Operation: 46/23=2
Exploring Operation: 23+46=69, Resulting Numbers: [95, 69]
Generated Node #0,0,1: 93:[95, 69] Operation: 23+46=69
Exploring Operation: 46-23=23, Resulting Numbers: [95, 23]
Generated Node #0,0,2: 93:[95, 23] Operation: 46-23=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[95, 2], Operations: ['79+16=95', '46/23=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[79, 23, 46, 16], Operations: []
Exploring Operation: 79+16=95, Resulting Numbers: [23, 46, 95]
Generated Node #0,0: 93:[23, 46, 95] Operation: 79+16=95
Moving to Node #0,0
Current State: 93:[23, 46, 95], Operations: ['79+16=95']
Exploring Operation: 46/23=2, Resulting Numbers: [95, 2]
Generated Node #0,0,0: 93:[95, 2] Operation: 46/23=2
Moving to Node #0,0,0
Current State: 93:[95, 2], Operations: ['79+16=95', '46/23=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
2,
54,
71,
43
] | 28 | [
"2+54=56",
"71-43=28",
"56-28=28"
] | Current State: 28:[2, 54, 71, 43], Operations: []
Exploring Operation: 2+54=56, Resulting Numbers: [71, 43, 56]
Generated Node #2: [71, 43, 56] from Operation: 2+54=56
Current State: 28:[71, 43, 56], Operations: ['2+54=56']
Exploring Operation: 71-43=28, Resulting Numbers: [56, 28]
Generated Node #3: [56, 28] from Operation: 71-43=28
Current State: 28:[56, 28], Operations: ['2+54=56', '71-43=28']
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[2, 54, 71, 43], Operations: []
Exploring Operation: 71-43=28, Resulting Numbers: [2, 54, 28]
Generated Node #0,0: 28:[2, 54, 28] Operation: 71-43=28
Exploring Operation: 54-43=11, Resulting Numbers: [2, 71, 11]
Generated Node #0,1: 28:[2, 71, 11] Operation: 54-43=11
Exploring Operation: 71-54=17, Resulting Numbers: [2, 43, 17]
Generated Node #0,2: 28:[2, 43, 17] Operation: 71-54=17
Moving to Node #0,2
Current State: 28:[2, 43, 17], Operations: ['71-54=17']
Exploring Operation: 43-2=41, Resulting Numbers: [17, 41]
Generated Node #0,2,0: 28:[17, 41] Operation: 43-2=41
Exploring Operation: 43-17=26, Resulting Numbers: [2, 26]
Generated Node #0,2,1: 28:[2, 26] Operation: 43-17=26
Exploring Operation: 17-2=15, Resulting Numbers: [43, 15]
Generated Node #0,2,2: 28:[43, 15] Operation: 17-2=15
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 28:[2, 26], Operations: ['71-54=17', '43-17=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[2, 54, 71, 43], Operations: []
Exploring Operation: 71-54=17, Resulting Numbers: [2, 43, 17]
Generated Node #0,2: 28:[2, 43, 17] Operation: 71-54=17
Moving to Node #0,2
Current State: 28:[2, 43, 17], Operations: ['71-54=17']
Exploring Operation: 43-17=26, Resulting Numbers: [2, 26]
Generated Node #0,2,1: 28:[2, 26] Operation: 43-17=26
Moving to Node #0,2,1
Current State: 28:[2, 26], Operations: ['71-54=17', '43-17=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
60,
21,
71,
51
] | 59 | [
"60-21=39",
"71-51=20",
"39+20=59"
] | Current State: 59:[60, 21, 71, 51], Operations: []
Exploring Operation: 60-21=39, Resulting Numbers: [71, 51, 39]
Generated Node #2: [71, 51, 39] from Operation: 60-21=39
Current State: 59:[71, 51, 39], Operations: ['60-21=39']
Exploring Operation: 71-51=20, Resulting Numbers: [39, 20]
Generated Node #3: [39, 20] from Operation: 71-51=20
Current State: 59:[39, 20], Operations: ['60-21=39', '71-51=20']
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[60, 21, 71, 51], Operations: []
Exploring Operation: 60+21=81, Resulting Numbers: [71, 51, 81]
Generated Node #0,0: 59:[71, 51, 81] Operation: 60+21=81
Exploring Operation: 60-21=39, Resulting Numbers: [71, 51, 39]
Generated Node #0,1: 59:[71, 51, 39] Operation: 60-21=39
Exploring Operation: 21+51=72, Resulting Numbers: [60, 71, 72]
Generated Node #0,2: 59:[60, 71, 72] Operation: 21+51=72
Exploring Operation: 71-21=50, Resulting Numbers: [60, 51, 50]
Generated Node #0,3: 59:[60, 51, 50] Operation: 71-21=50
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[60, 51, 50], Operations: ['71-21=50']
Exploring Operation: 60-50=10, Resulting Numbers: [51, 10]
Generated Node #0,3,0: 59:[51, 10] Operation: 60-50=10
Exploring Operation: 60-51=9, Resulting Numbers: [50, 9]
Generated Node #0,3,1: 59:[50, 9] Operation: 60-51=9
Exploring Operation: 60+50=110, Resulting Numbers: [51, 110]
Generated Node #0,3,2: 59:[51, 110] Operation: 60+50=110
Exploring Operation: 51+50=101, Resulting Numbers: [60, 101]
Generated Node #0,3,3: 59:[60, 101] Operation: 51+50=101
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 59:[60, 101], Operations: ['71-21=50', '51+50=101']
Exploring Operation: 60+101=161, Resulting Numbers: [161]
161,59 unequal: No Solution
Exploring Operation: 101-60=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Exploring Operation: 60*101=6060, Resulting Numbers: [6060]
6060,59 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: 59:[51, 10], Operations: ['71-21=50', '60-50=10']
Exploring Operation: 51*10=510, Resulting Numbers: [510]
510,59 unequal: No Solution
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Exploring Operation: 51+10=61, Resulting Numbers: [61]
61,59 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: 59:[50, 9], Operations: ['71-21=50', '60-51=9']
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[60, 21, 71, 51], Operations: []
Exploring Operation: 71-21=50, Resulting Numbers: [60, 51, 50]
Generated Node #0,3: 59:[60, 51, 50] Operation: 71-21=50
Moving to Node #0,3
Current State: 59:[60, 51, 50], Operations: ['71-21=50']
Exploring Operation: 60-51=9, Resulting Numbers: [50, 9]
Generated Node #0,3,1: 59:[50, 9] Operation: 60-51=9
Moving to Node #0,3,1
Current State: 59:[50, 9], Operations: ['71-21=50', '60-51=9']
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
47,
3,
9,
54
] | 98 | [
"47+54=101",
"9/3=3",
"101-3=98"
] | Current State: 98:[47, 3, 9, 54], Operations: []
Exploring Operation: 47+54=101, Resulting Numbers: [3, 9, 101]
Generated Node #2: [3, 9, 101] from Operation: 47+54=101
Current State: 98:[3, 9, 101], Operations: ['47+54=101']
Exploring Operation: 9/3=3, Resulting Numbers: [101, 3]
Generated Node #3: [101, 3] from Operation: 9/3=3
Current State: 98:[101, 3], Operations: ['47+54=101', '9/3=3']
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[47, 3, 9, 54], Operations: []
Exploring Operation: 54-9=45, Resulting Numbers: [47, 3, 45]
Generated Node #0,0: 98:[47, 3, 45] Operation: 54-9=45
Exploring Operation: 54-3=51, Resulting Numbers: [47, 9, 51]
Generated Node #0,1: 98:[47, 9, 51] Operation: 54-3=51
Exploring Operation: 54-47=7, Resulting Numbers: [3, 9, 7]
Generated Node #0,2: 98:[3, 9, 7] Operation: 54-47=7
Exploring Operation: 54/9=6, Resulting Numbers: [47, 3, 6]
Generated Node #0,3: 98:[47, 3, 6] Operation: 54/9=6
Exploring Operation: 47+54=101, Resulting Numbers: [3, 9, 101]
Generated Node #0,4: 98:[3, 9, 101] Operation: 47+54=101
Moving to Node #0,2
Current State: 98:[3, 9, 7], Operations: ['54-47=7']
Exploring Operation: 3+9=12, Resulting Numbers: [7, 12]
Generated Node #0,2,0: 98:[7, 12] Operation: 3+9=12
Exploring Operation: 9-3=6, Resulting Numbers: [7, 6]
Generated Node #0,2,1: 98:[7, 6] Operation: 9-3=6
Exploring Operation: 9/3=3, Resulting Numbers: [7, 3]
Generated Node #0,2,2: 98:[7, 3] Operation: 9/3=3
Exploring Operation: 9-7=2, Resulting Numbers: [3, 2]
Generated Node #0,2,3: 98:[3, 2] Operation: 9-7=2
Exploring Operation: 9+7=16, Resulting Numbers: [3, 16]
Generated Node #0,2,4: 98:[3, 16] Operation: 9+7=16
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 98:[7, 6], Operations: ['54-47=7', '9-3=6']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,98 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 #0,2,2
Current State: 98:[7, 3], Operations: ['54-47=7', '9/3=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,98 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 #0,2,3
Current State: 98:[3, 2], Operations: ['54-47=7', '9-7=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,98 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,98 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 #0,2,0
Current State: 98:[7, 12], Operations: ['54-47=7', '3+9=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,98 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,98 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,98 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 #0,2,4
Current State: 98:[3, 16], Operations: ['54-47=7', '9+7=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,98 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,98 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: 98:[47, 3, 6], Operations: ['54/9=6']
Exploring Operation: 6-3=3, Resulting Numbers: [47, 3]
Generated Node #0,3,0: 98:[47, 3] Operation: 6-3=3
Exploring Operation: 47+3=50, Resulting Numbers: [6, 50]
Generated Node #0,3,1: 98:[6, 50] Operation: 47+3=50
Exploring Operation: 6/3=2, Resulting Numbers: [47, 2]
Generated Node #0,3,2: 98:[47, 2] Operation: 6/3=2
Exploring Operation: 3+6=9, Resulting Numbers: [47, 9]
Generated Node #0,3,3: 98:[47, 9] Operation: 3+6=9
Exploring Operation: 47+6=53, Resulting Numbers: [3, 53]
Generated Node #0,3,4: 98:[3, 53] Operation: 47+6=53
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 98:[6, 50], Operations: ['54/9=6', '47+3=50']
Exploring Operation: 6+50=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 6*50=300, Resulting Numbers: [300]
300,98 unequal: No Solution
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,98 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 #0,3,2
Current State: 98:[47, 2], Operations: ['54/9=6', '6/3=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,98 unequal: No Solution
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,98 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 #0,3,0
Current State: 98:[47, 3], Operations: ['54/9=6', '6-3=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,98 unequal: No Solution
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,98 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 #0,3,3
Current State: 98:[47, 9], Operations: ['54/9=6', '3+6=9']
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Exploring Operation: 47*9=423, Resulting Numbers: [423]
423,98 unequal: No Solution
Exploring Operation: 47+9=56, Resulting Numbers: [56]
56,98 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 #0,3,4
Current State: 98:[3, 53], Operations: ['54/9=6', '47+6=53']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,98 unequal: No Solution
Exploring Operation: 3+53=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 3*53=159, Resulting Numbers: [159]
159,98 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: 98:[47, 9, 51], Operations: ['54-3=51']
Exploring Operation: 47-9=38, Resulting Numbers: [51, 38]
Generated Node #0,1,0: 98:[51, 38] Operation: 47-9=38
Exploring Operation: 47+9=56, Resulting Numbers: [51, 56]
Generated Node #0,1,1: 98:[51, 56] Operation: 47+9=56
Exploring Operation: 51-9=42, Resulting Numbers: [47, 42]
Generated Node #0,1,2: 98:[47, 42] Operation: 51-9=42
Exploring Operation: 51-47=4, Resulting Numbers: [9, 4]
Generated Node #0,1,3: 98:[9, 4] Operation: 51-47=4
Exploring Operation: 47+51=98, Resulting Numbers: [9, 98]
Generated Node #0,1,4: 98:[9, 98] Operation: 47+51=98
Moving to Node #0,4
Current State: 98:[3, 9, 101], Operations: ['47+54=101']
Exploring Operation: 9/3=3, Resulting Numbers: [101, 3]
Generated Node #0,4,0: 98:[101, 3] Operation: 9/3=3
Exploring Operation: 101-3=98, Resulting Numbers: [9, 98]
Generated Node #0,4,1: 98:[9, 98] Operation: 101-3=98
Exploring Operation: 3+9=12, Resulting Numbers: [101, 12]
Generated Node #0,4,2: 98:[101, 12] Operation: 3+9=12
Exploring Operation: 9-3=6, Resulting Numbers: [101, 6]
Generated Node #0,4,3: 98:[101, 6] Operation: 9-3=6
Exploring Operation: 101-9=92, Resulting Numbers: [3, 92]
Generated Node #0,4,4: 98:[3, 92] Operation: 101-9=92
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 98:[9, 98], Operations: ['47+54=101', '101-3=98']
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,98 unequal: No Solution
Exploring Operation: 9*98=882, Resulting Numbers: [882]
882,98 unequal: No Solution
Exploring Operation: 9+98=107, Resulting Numbers: [107]
107,98 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 #0,4,0
Current State: 98:[101, 3], Operations: ['47+54=101', '9/3=3']
Exploring Operation: 101*3=303, Resulting Numbers: [303]
303,98 unequal: No Solution
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[47, 3, 9, 54], Operations: []
Exploring Operation: 47+54=101, Resulting Numbers: [3, 9, 101]
Generated Node #0,4: 98:[3, 9, 101] Operation: 47+54=101
Moving to Node #0,4
Current State: 98:[3, 9, 101], Operations: ['47+54=101']
Exploring Operation: 9/3=3, Resulting Numbers: [101, 3]
Generated Node #0,4,0: 98:[101, 3] Operation: 9/3=3
Moving to Node #0,4,0
Current State: 98:[101, 3], Operations: ['47+54=101', '9/3=3']
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.944444 | hs_5 | sum_heuristic |
[
9,
41,
89,
11
] | 50 | [
"9+41=50",
"89+11=100",
"100-50=50"
] | Current State: 50:[9, 41, 89, 11], Operations: []
Exploring Operation: 9+41=50, Resulting Numbers: [89, 11, 50]
Generated Node #2: [89, 11, 50] from Operation: 9+41=50
Current State: 50:[89, 11, 50], Operations: ['9+41=50']
Exploring Operation: 89+11=100, Resulting Numbers: [50, 100]
Generated Node #3: [50, 100] from Operation: 89+11=100
Current State: 50:[50, 100], Operations: ['9+41=50', '89+11=100']
Exploring Operation: 100-50=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[9, 41, 89, 11], Operations: []
Exploring Operation: 89-41=48, Resulting Numbers: [9, 11, 48]
Generated Node #0,0: 50:[9, 11, 48] Operation: 89-41=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[9, 11, 48], Operations: ['89-41=48']
Exploring Operation: 11-9=2, Resulting Numbers: [48, 2]
Generated Node #0,0,0: 50:[48, 2] Operation: 11-9=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 50:[48, 2], Operations: ['89-41=48', '11-9=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[9, 41, 89, 11], Operations: []
Exploring Operation: 89-41=48, Resulting Numbers: [9, 11, 48]
Generated Node #0,0: 50:[9, 11, 48] Operation: 89-41=48
Moving to Node #0,0
Current State: 50:[9, 11, 48], Operations: ['89-41=48']
Exploring Operation: 11-9=2, Resulting Numbers: [48, 2]
Generated Node #0,0,0: 50:[48, 2] Operation: 11-9=2
Moving to Node #0,0,0
Current State: 50:[48, 2], Operations: ['89-41=48', '11-9=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
61,
29,
81,
31
] | 80 | [
"61-29=32",
"81+31=112",
"112-32=80"
] | Current State: 80:[61, 29, 81, 31], Operations: []
Exploring Operation: 61-29=32, Resulting Numbers: [81, 31, 32]
Generated Node #2: [81, 31, 32] from Operation: 61-29=32
Current State: 80:[81, 31, 32], Operations: ['61-29=32']
Exploring Operation: 81+31=112, Resulting Numbers: [32, 112]
Generated Node #3: [32, 112] from Operation: 81+31=112
Current State: 80:[32, 112], Operations: ['61-29=32', '81+31=112']
Exploring Operation: 112-32=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[61, 29, 81, 31], Operations: []
Exploring Operation: 61-29=32, Resulting Numbers: [81, 31, 32]
Generated Node #0,0: 80:[81, 31, 32] Operation: 61-29=32
Exploring Operation: 61-31=30, Resulting Numbers: [29, 81, 30]
Generated Node #0,1: 80:[29, 81, 30] Operation: 61-31=30
Exploring Operation: 31-29=2, Resulting Numbers: [61, 81, 2]
Generated Node #0,2: 80:[61, 81, 2] Operation: 31-29=2
Exploring Operation: 61+29=90, Resulting Numbers: [81, 31, 90]
Generated Node #0,3: 80:[81, 31, 90] Operation: 61+29=90
Exploring Operation: 81-61=20, Resulting Numbers: [29, 31, 20]
Generated Node #0,4: 80:[29, 31, 20] Operation: 81-61=20
Moving to Node #0,0
Current State: 80:[81, 31, 32], Operations: ['61-29=32']
Exploring Operation: 81-31=50, Resulting Numbers: [32, 50]
Generated Node #0,0,0: 80:[32, 50] Operation: 81-31=50
Exploring Operation: 31+32=63, Resulting Numbers: [81, 63]
Generated Node #0,0,1: 80:[81, 63] Operation: 31+32=63
Exploring Operation: 81-32=49, Resulting Numbers: [31, 49]
Generated Node #0,0,2: 80:[31, 49] Operation: 81-32=49
Exploring Operation: 81+31=112, Resulting Numbers: [32, 112]
Generated Node #0,0,3: 80:[32, 112] Operation: 81+31=112
Exploring Operation: 32-31=1, Resulting Numbers: [81, 1]
Generated Node #0,0,4: 80:[81, 1] Operation: 32-31=1
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 80:[81, 1], Operations: ['61-29=32', '32-31=1']
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,80 unequal: No Solution
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[61, 29, 81, 31], Operations: []
Exploring Operation: 61-29=32, Resulting Numbers: [81, 31, 32]
Generated Node #0,0: 80:[81, 31, 32] Operation: 61-29=32
Moving to Node #0,0
Current State: 80:[81, 31, 32], Operations: ['61-29=32']
Exploring Operation: 32-31=1, Resulting Numbers: [81, 1]
Generated Node #0,0,4: 80:[81, 1] Operation: 32-31=1
Moving to Node #0,0,4
Current State: 80:[81, 1], Operations: ['61-29=32', '32-31=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
43,
57,
24,
56
] | 28 | [
"57-43=14",
"56/14=4",
"24+4=28"
] | Current State: 28:[43, 57, 24, 56], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [24, 56, 14]
Generated Node #2: [24, 56, 14] from Operation: 57-43=14
Current State: 28:[24, 56, 14], Operations: ['57-43=14']
Exploring Operation: 56/14=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 56/14=4
Current State: 28:[24, 4], Operations: ['57-43=14', '56/14=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[43, 57, 24, 56], Operations: []
Exploring Operation: 57-24=33, Resulting Numbers: [43, 56, 33]
Generated Node #0,0: 28:[43, 56, 33] Operation: 57-24=33
Exploring Operation: 56-24=32, Resulting Numbers: [43, 57, 32]
Generated Node #0,1: 28:[43, 57, 32] Operation: 56-24=32
Exploring Operation: 57-56=1, Resulting Numbers: [43, 24, 1]
Generated Node #0,2: 28:[43, 24, 1] Operation: 57-56=1
Exploring Operation: 56-43=13, Resulting Numbers: [57, 24, 13]
Generated Node #0,3: 28:[57, 24, 13] Operation: 56-43=13
Exploring Operation: 57-43=14, Resulting Numbers: [24, 56, 14]
Generated Node #0,4: 28:[24, 56, 14] Operation: 57-43=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[43, 24, 1], Operations: ['57-56=1']
Exploring Operation: 43-24=19, Resulting Numbers: [1, 19]
Generated Node #0,2,0: 28:[1, 19] Operation: 43-24=19
Exploring Operation: 43*1=43, Resulting Numbers: [24, 43]
Generated Node #0,2,1: 28:[24, 43] Operation: 43*1=43
Exploring Operation: 43/1=43, Resulting Numbers: [24, 43]
Generated Node #0,2,2: 28:[24, 43] Operation: 43/1=43
Exploring Operation: 43-1=42, Resulting Numbers: [24, 42]
Generated Node #0,2,3: 28:[24, 42] Operation: 43-1=42
Exploring Operation: 24+1=25, Resulting Numbers: [43, 25]
Generated Node #0,2,4: 28:[43, 25] Operation: 24+1=25
Moving to Node #0,2,0
Current State: 28:[1, 19], Operations: ['57-56=1', '43-24=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Moving to Node #0,2,4
Current State: 28:[43, 25], Operations: ['57-56=1', '24+1=25']
Exploring Operation: 43*25=1075, Resulting Numbers: [1075]
1075,28 unequal: No Solution
Exploring Operation: 43+25=68, Resulting Numbers: [68]
68,28 unequal: No Solution
Exploring Operation: 43-25=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Moving to Node #0,2,3
Current State: 28:[24, 42], Operations: ['57-56=1', '43-1=42']
Exploring Operation: 24*42=1008, Resulting Numbers: [1008]
1008,28 unequal: No Solution
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,28 unequal: No Solution
Moving to Node #0,2,1
Current State: 28:[24, 43], Operations: ['57-56=1', '43*1=43']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 24+43=67, Resulting Numbers: [67]
67,28 unequal: No Solution
Exploring Operation: 24*43=1032, Resulting Numbers: [1032]
1032,28 unequal: No Solution
Moving to Node #0,2,2
Current State: 28:[24, 43], Operations: ['57-56=1', '43/1=43']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 24*43=1032, Resulting Numbers: [1032]
1032,28 unequal: No Solution
Exploring Operation: 24+43=67, Resulting Numbers: [67]
67,28 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: 28:[24, 56, 14], Operations: ['57-43=14']
Exploring Operation: 56-14=42, Resulting Numbers: [24, 42]
Generated Node #0,4,0: 28:[24, 42] Operation: 56-14=42
Exploring Operation: 56/14=4, Resulting Numbers: [24, 4]
Generated Node #0,4,1: 28:[24, 4] Operation: 56/14=4
Exploring Operation: 24+14=38, Resulting Numbers: [56, 38]
Generated Node #0,4,2: 28:[56, 38] Operation: 24+14=38
Exploring Operation: 24-14=10, Resulting Numbers: [56, 10]
Generated Node #0,4,3: 28:[56, 10] Operation: 24-14=10
Exploring Operation: 56-24=32, Resulting Numbers: [14, 32]
Generated Node #0,4,4: 28:[14, 32] Operation: 56-24=32
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 28:[24, 4], Operations: ['57-43=14', '56/14=4']
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,28 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[43, 57, 24, 56], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [24, 56, 14]
Generated Node #0,4: 28:[24, 56, 14] Operation: 57-43=14
Moving to Node #0,4
Current State: 28:[24, 56, 14], Operations: ['57-43=14']
Exploring Operation: 56/14=4, Resulting Numbers: [24, 4]
Generated Node #0,4,1: 28:[24, 4] Operation: 56/14=4
Moving to Node #0,4,1
Current State: 28:[24, 4], Operations: ['57-43=14', '56/14=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_5 | sum_heuristic |
[
97,
7,
49,
15
] | 70 | [
"97+7=104",
"49-15=34",
"104-34=70"
] | Current State: 70:[97, 7, 49, 15], Operations: []
Exploring Operation: 97+7=104, Resulting Numbers: [49, 15, 104]
Generated Node #2: [49, 15, 104] from Operation: 97+7=104
Current State: 70:[49, 15, 104], Operations: ['97+7=104']
Exploring Operation: 49-15=34, Resulting Numbers: [104, 34]
Generated Node #3: [104, 34] from Operation: 49-15=34
Current State: 70:[104, 34], Operations: ['97+7=104', '49-15=34']
Exploring Operation: 104-34=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[97, 7, 49, 15], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [97, 15, 7]
Generated Node #0,0: 70:[97, 15, 7] Operation: 49/7=7
Exploring Operation: 97-15=82, Resulting Numbers: [7, 49, 82]
Generated Node #0,1: 70:[7, 49, 82] Operation: 97-15=82
Exploring Operation: 97-49=48, Resulting Numbers: [7, 15, 48]
Generated Node #0,2: 70:[7, 15, 48] Operation: 97-49=48
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[7, 15, 48], Operations: ['97-49=48']
Exploring Operation: 48-15=33, Resulting Numbers: [7, 33]
Generated Node #0,2,0: 70:[7, 33] Operation: 48-15=33
Exploring Operation: 15+48=63, Resulting Numbers: [7, 63]
Generated Node #0,2,1: 70:[7, 63] Operation: 15+48=63
Exploring Operation: 48-7=41, Resulting Numbers: [15, 41]
Generated Node #0,2,2: 70:[15, 41] Operation: 48-7=41
Moving to Node #0,2,0
Current State: 70:[7, 33], Operations: ['97-49=48', '48-15=33']
Exploring Operation: 7*33=231, Resulting Numbers: [231]
231,70 unequal: No Solution
Exploring Operation: 7+33=40, Resulting Numbers: [40]
40,70 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[7, 63], Operations: ['97-49=48', '15+48=63']
Exploring Operation: 63-7=56, Resulting Numbers: [56]
56,70 unequal: No Solution
Exploring Operation: 7+63=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[97, 7, 49, 15], Operations: []
Exploring Operation: 97-49=48, Resulting Numbers: [7, 15, 48]
Generated Node #0,2: 70:[7, 15, 48] Operation: 97-49=48
Moving to Node #0,2
Current State: 70:[7, 15, 48], Operations: ['97-49=48']
Exploring Operation: 15+48=63, Resulting Numbers: [7, 63]
Generated Node #0,2,1: 70:[7, 63] Operation: 15+48=63
Moving to Node #0,2,1
Current State: 70:[7, 63], Operations: ['97-49=48', '15+48=63']
Exploring Operation: 7+63=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
34,
92,
42,
90
] | 55 | [
"92-90=2",
"42/2=21",
"34+21=55"
] | Current State: 55:[34, 92, 42, 90], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [34, 42, 2]
Generated Node #2: [34, 42, 2] from Operation: 92-90=2
Current State: 55:[34, 42, 2], Operations: ['92-90=2']
Exploring Operation: 42/2=21, Resulting Numbers: [34, 21]
Generated Node #3: [34, 21] from Operation: 42/2=21
Current State: 55:[34, 21], Operations: ['92-90=2', '42/2=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[34, 92, 42, 90], Operations: []
Exploring Operation: 90-34=56, Resulting Numbers: [92, 42, 56]
Generated Node #0,0: 55:[92, 42, 56] Operation: 90-34=56
Exploring Operation: 92-34=58, Resulting Numbers: [42, 90, 58]
Generated Node #0,1: 55:[42, 90, 58] Operation: 92-34=58
Exploring Operation: 92-90=2, Resulting Numbers: [34, 42, 2]
Generated Node #0,2: 55:[34, 42, 2] Operation: 92-90=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[34, 42, 2], Operations: ['92-90=2']
Exploring Operation: 34/2=17, Resulting Numbers: [42, 17]
Generated Node #0,2,0: 55:[42, 17] Operation: 34/2=17
Exploring Operation: 42-34=8, Resulting Numbers: [2, 8]
Generated Node #0,2,1: 55:[2, 8] Operation: 42-34=8
Exploring Operation: 34+42=76, Resulting Numbers: [2, 76]
Generated Node #0,2,2: 55:[2, 76] Operation: 34+42=76
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 55:[2, 8], Operations: ['92-90=2', '42-34=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,55 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,55 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: 55:[42, 17], Operations: ['92-90=2', '34/2=17']
Exploring Operation: 42*17=714, Resulting Numbers: [714]
714,55 unequal: No Solution
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,55 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: 55:[2, 76], Operations: ['92-90=2', '34+42=76']
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,55 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,55 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,55 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: 55:[92, 42, 56], Operations: ['90-34=56']
Exploring Operation: 56-42=14, Resulting Numbers: [92, 14]
Generated Node #0,0,0: 55:[92, 14] Operation: 56-42=14
Exploring Operation: 92-56=36, Resulting Numbers: [42, 36]
Generated Node #0,0,1: 55:[42, 36] Operation: 92-56=36
Exploring Operation: 92-42=50, Resulting Numbers: [56, 50]
Generated Node #0,0,2: 55:[56, 50] Operation: 92-42=50
Moving to Node #0,0,2
Current State: 55:[56, 50], Operations: ['90-34=56', '92-42=50']
Exploring Operation: 56*50=2800, Resulting Numbers: [2800]
2800,55 unequal: No Solution
Exploring Operation: 56-50=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 56+50=106, Resulting Numbers: [106]
106,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[42, 36], Operations: ['90-34=56', '92-56=36']
Exploring Operation: 42-36=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 42*36=1512, Resulting Numbers: [1512]
1512,55 unequal: No Solution
Exploring Operation: 42+36=78, Resulting Numbers: [78]
78,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[92, 14], Operations: ['90-34=56', '56-42=14']
Exploring Operation: 92+14=106, Resulting Numbers: [106]
106,55 unequal: No Solution
Exploring Operation: 92*14=1288, Resulting Numbers: [1288]
1288,55 unequal: No Solution
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,55 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: 55:[42, 90, 58], Operations: ['92-34=58']
Exploring Operation: 58-42=16, Resulting Numbers: [90, 16]
Generated Node #0,1,0: 55:[90, 16] Operation: 58-42=16
Exploring Operation: 90-42=48, Resulting Numbers: [58, 48]
Generated Node #0,1,1: 55:[58, 48] Operation: 90-42=48
Exploring Operation: 90-58=32, Resulting Numbers: [42, 32]
Generated Node #0,1,2: 55:[42, 32] Operation: 90-58=32
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 55:[58, 48], Operations: ['92-34=58', '90-42=48']
Exploring Operation: 58+48=106, Resulting Numbers: [106]
106,55 unequal: No Solution
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,55 unequal: No Solution
Exploring Operation: 58*48=2784, Resulting Numbers: [2784]
2784,55 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: 55:[42, 32], Operations: ['92-34=58', '90-58=32']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,55 unequal: No Solution
Exploring Operation: 42+32=74, Resulting Numbers: [74]
74,55 unequal: No Solution
Exploring Operation: 42*32=1344, Resulting Numbers: [1344]
1344,55 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: 55:[90, 16], Operations: ['92-34=58', '58-42=16']
Exploring Operation: 90*16=1440, Resulting Numbers: [1440]
1440,55 unequal: No Solution
Exploring Operation: 90+16=106, Resulting Numbers: [106]
106,55 unequal: No Solution
Exploring Operation: 90-16=74, Resulting Numbers: [74]
74,55 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 |
[
12,
44,
50,
20
] | 92 | [
"50-44=6",
"12*6=72",
"20+72=92"
] | Current State: 92:[12, 44, 50, 20], Operations: []
Exploring Operation: 50-44=6, Resulting Numbers: [12, 20, 6]
Generated Node #2: [12, 20, 6] from Operation: 50-44=6
Current State: 92:[12, 20, 6], Operations: ['50-44=6']
Exploring Operation: 12*6=72, Resulting Numbers: [20, 72]
Generated Node #3: [20, 72] from Operation: 12*6=72
Current State: 92:[20, 72], Operations: ['50-44=6', '12*6=72']
Exploring Operation: 20+72=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[12, 44, 50, 20], Operations: []
Exploring Operation: 44+50=94, Resulting Numbers: [12, 20, 94]
Generated Node #0,0: 92:[12, 20, 94] Operation: 44+50=94
Exploring Operation: 44-20=24, Resulting Numbers: [12, 50, 24]
Generated Node #0,1: 92:[12, 50, 24] Operation: 44-20=24
Exploring Operation: 50-44=6, Resulting Numbers: [12, 20, 6]
Generated Node #0,2: 92:[12, 20, 6] Operation: 50-44=6
Exploring Operation: 20-12=8, Resulting Numbers: [44, 50, 8]
Generated Node #0,3: 92:[44, 50, 8] Operation: 20-12=8
Exploring Operation: 50-12=38, Resulting Numbers: [44, 20, 38]
Generated Node #0,4: 92:[44, 20, 38] Operation: 50-12=38
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[44, 50, 8], Operations: ['20-12=8']
Exploring Operation: 50-8=42, Resulting Numbers: [44, 42]
Generated Node #0,3,0: 92:[44, 42] Operation: 50-8=42
Exploring Operation: 44+50=94, Resulting Numbers: [8, 94]
Generated Node #0,3,1: 92:[8, 94] Operation: 44+50=94
Exploring Operation: 50-44=6, Resulting Numbers: [8, 6]
Generated Node #0,3,2: 92:[8, 6] Operation: 50-44=6
Exploring Operation: 44-8=36, Resulting Numbers: [50, 36]
Generated Node #0,3,3: 92:[50, 36] Operation: 44-8=36
Exploring Operation: 44+8=52, Resulting Numbers: [50, 52]
Generated Node #0,3,4: 92:[50, 52] Operation: 44+8=52
Moving to Node #0,3,0
Current State: 92:[44, 42], Operations: ['20-12=8', '50-8=42']
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 44*42=1848, Resulting Numbers: [1848]
1848,92 unequal: No Solution
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[8, 6], Operations: ['20-12=8', '50-44=6']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Moving to Node #0,3,1
Current State: 92:[8, 94], Operations: ['20-12=8', '44+50=94']
Exploring Operation: 94-8=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 8+94=102, Resulting Numbers: [102]
102,92 unequal: No Solution
Exploring Operation: 8*94=752, Resulting Numbers: [752]
752,92 unequal: No Solution
Moving to Node #0,3,4
Current State: 92:[50, 52], Operations: ['20-12=8', '44+8=52']
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 50+52=102, Resulting Numbers: [102]
102,92 unequal: No Solution
Exploring Operation: 50*52=2600, Resulting Numbers: [2600]
2600,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[50, 36], Operations: ['20-12=8', '44-8=36']
Exploring Operation: 50+36=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 50-36=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 50*36=1800, Resulting Numbers: [1800]
1800,92 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: 92:[12, 20, 94], Operations: ['44+50=94']
Exploring Operation: 94-20=74, Resulting Numbers: [12, 74]
Generated Node #0,0,0: 92:[12, 74] Operation: 94-20=74
Exploring Operation: 12+94=106, Resulting Numbers: [20, 106]
Generated Node #0,0,1: 92:[20, 106] Operation: 12+94=106
Exploring Operation: 12+20=32, Resulting Numbers: [94, 32]
Generated Node #0,0,2: 92:[94, 32] Operation: 12+20=32
Exploring Operation: 20-12=8, Resulting Numbers: [94, 8]
Generated Node #0,0,3: 92:[94, 8] Operation: 20-12=8
Exploring Operation: 94-12=82, Resulting Numbers: [20, 82]
Generated Node #0,0,4: 92:[20, 82] Operation: 94-12=82
Moving to Node #0,0,3
Current State: 92:[94, 8], Operations: ['44+50=94', '20-12=8']
Exploring Operation: 94*8=752, Resulting Numbers: [752]
752,92 unequal: No Solution
Exploring Operation: 94-8=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 94+8=102, Resulting Numbers: [102]
102,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[94, 32], Operations: ['44+50=94', '12+20=32']
Exploring Operation: 94*32=3008, Resulting Numbers: [3008]
3008,92 unequal: No Solution
Exploring Operation: 94+32=126, Resulting Numbers: [126]
126,92 unequal: No Solution
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Moving to Node #0,0,4
Current State: 92:[20, 82], Operations: ['44+50=94', '94-12=82']
Exploring Operation: 82-20=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 20+82=102, Resulting Numbers: [102]
102,92 unequal: No Solution
Exploring Operation: 20*82=1640, Resulting Numbers: [1640]
1640,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[20, 106], Operations: ['44+50=94', '12+94=106']
Exploring Operation: 106-20=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 20+106=126, Resulting Numbers: [126]
126,92 unequal: No Solution
Exploring Operation: 20*106=2120, Resulting Numbers: [2120]
2120,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[12, 74], Operations: ['44+50=94', '94-20=74']
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 12*74=888, Resulting Numbers: [888]
888,92 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: 92:[12, 50, 24], Operations: ['44-20=24']
Exploring Operation: 12+24=36, Resulting Numbers: [50, 36]
Generated Node #0,1,0: 92:[50, 36] Operation: 12+24=36
Exploring Operation: 24/12=2, Resulting Numbers: [50, 2]
Generated Node #0,1,1: 92:[50, 2] Operation: 24/12=2
Exploring Operation: 24-12=12, Resulting Numbers: [50, 12]
Generated Node #0,1,2: 92:[50, 12] Operation: 24-12=12
Exploring Operation: 50-24=26, Resulting Numbers: [12, 26]
Generated Node #0,1,3: 92:[12, 26] Operation: 50-24=26
Exploring Operation: 50-12=38, Resulting Numbers: [24, 38]
Generated Node #0,1,4: 92:[24, 38] Operation: 50-12=38
Moving to Node #0,1,1
Current State: 92:[50, 2], Operations: ['44-20=24', '24/12=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,92 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Moving to Node #0,1,4
Current State: 92:[24, 38], Operations: ['44-20=24', '50-12=38']
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 24*38=912, Resulting Numbers: [912]
912,92 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[12, 26], Operations: ['44-20=24', '50-24=26']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 12*26=312, Resulting Numbers: [312]
312,92 unequal: No Solution
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[50, 12], Operations: ['44-20=24', '24-12=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 50*12=600, Resulting Numbers: [600]
600,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[50, 36], Operations: ['44-20=24', '12+24=36']
Exploring Operation: 50+36=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 50*36=1800, Resulting Numbers: [1800]
1800,92 unequal: No Solution
Exploring Operation: 50-36=14, Resulting Numbers: [14]
14,92 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: 92:[12, 20, 6], Operations: ['50-44=6']
Exploring Operation: 20-12=8, Resulting Numbers: [6, 8]
Generated Node #0,2,0: 92:[6, 8] Operation: 20-12=8
Exploring Operation: 12-6=6, Resulting Numbers: [20, 6]
Generated Node #0,2,1: 92:[20, 6] Operation: 12-6=6
Exploring Operation: 12/6=2, Resulting Numbers: [20, 2]
Generated Node #0,2,2: 92:[20, 2] Operation: 12/6=2
Exploring Operation: 12+6=18, Resulting Numbers: [20, 18]
Generated Node #0,2,3: 92:[20, 18] Operation: 12+6=18
Exploring Operation: 12+20=32, Resulting Numbers: [6, 32]
Generated Node #0,2,4: 92:[6, 32] Operation: 12+20=32
Moving to Node #0,2,2
Current State: 92:[20, 2], Operations: ['50-44=6', '12/6=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[20, 6], Operations: ['50-44=6', '12-6=6']
Exploring Operation: 20*6=120, Resulting Numbers: [120]
120,92 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[6, 8], Operations: ['50-44=6', '20-12=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Moving to Node #0,2,3
Current State: 92:[20, 18], Operations: ['50-44=6', '12+6=18']
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,92 unequal: No Solution
Moving to Node #0,2,4
Current State: 92:[6, 32], Operations: ['50-44=6', '12+20=32']
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 6*32=192, Resulting Numbers: [192]
192,92 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: 92:[44, 20, 38], Operations: ['50-12=38']
Exploring Operation: 44+38=82, Resulting Numbers: [20, 82]
Generated Node #0,4,0: 92:[20, 82] Operation: 44+38=82
Exploring Operation: 44-38=6, Resulting Numbers: [20, 6]
Generated Node #0,4,1: 92:[20, 6] Operation: 44-38=6
Exploring Operation: 44-20=24, Resulting Numbers: [38, 24]
Generated Node #0,4,2: 92:[38, 24] Operation: 44-20=24
Exploring Operation: 38-20=18, Resulting Numbers: [44, 18]
Generated Node #0,4,3: 92:[44, 18] Operation: 38-20=18
Exploring Operation: 20+38=58, Resulting Numbers: [44, 58]
Generated Node #0,4,4: 92:[44, 58] Operation: 20+38=58
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 92:[20, 6], Operations: ['50-12=38', '44-38=6']
Exploring Operation: 20*6=120, Resulting Numbers: [120]
120,92 unequal: No Solution
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,92 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 #0,4,3
Current State: 92:[44, 18], Operations: ['50-12=38', '38-20=18']
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 44*18=792, Resulting Numbers: [792]
792,92 unequal: No Solution
Exploring Operation: 44+18=62, Resulting Numbers: [62]
62,92 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 #0,4,2
Current State: 92:[38, 24], Operations: ['50-12=38', '44-20=24']
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 38*24=912, Resulting Numbers: [912]
912,92 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 #0,4,0
Current State: 92:[20, 82], Operations: ['50-12=38', '44+38=82']
Exploring Operation: 20*82=1640, Resulting Numbers: [1640]
1640,92 unequal: No Solution
Exploring Operation: 20+82=102, Resulting Numbers: [102]
102,92 unequal: No Solution
Exploring Operation: 82-20=62, Resulting Numbers: [62]
62,92 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 #0,4,4
Current State: 92:[44, 58], Operations: ['50-12=38', '20+38=58']
Exploring Operation: 44*58=2552, Resulting Numbers: [2552]
2552,92 unequal: No Solution
Exploring Operation: 58-44=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 44+58=102, Resulting Numbers: [102]
102,92 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 |
[
12,
2,
39,
5
] | 100 | [
"39+5=44",
"2*44=88",
"12+88=100"
] | Current State: 100:[12, 2, 39, 5], Operations: []
Exploring Operation: 39+5=44, Resulting Numbers: [12, 2, 44]
Generated Node #2: [12, 2, 44] from Operation: 39+5=44
Current State: 100:[12, 2, 44], Operations: ['39+5=44']
Exploring Operation: 2*44=88, Resulting Numbers: [12, 88]
Generated Node #3: [12, 88] from Operation: 2*44=88
Current State: 100:[12, 88], Operations: ['39+5=44', '2*44=88']
Exploring Operation: 12+88=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[12, 2, 39, 5], Operations: []
Exploring Operation: 39-12=27, Resulting Numbers: [2, 5, 27]
Generated Node #0,0: 100:[2, 5, 27] Operation: 39-12=27
Exploring Operation: 12+39=51, Resulting Numbers: [2, 5, 51]
Generated Node #0,1: 100:[2, 5, 51] Operation: 12+39=51
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[2, 5, 51], Operations: ['12+39=51']
Exploring Operation: 51-2=49, Resulting Numbers: [5, 49]
Generated Node #0,1,0: 100:[5, 49] Operation: 51-2=49
Exploring Operation: 2*5=10, Resulting Numbers: [51, 10]
Generated Node #0,1,1: 100:[51, 10] Operation: 2*5=10
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[5, 49], Operations: ['12+39=51', '51-2=49']
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 5+49=54, Resulting Numbers: [54]
54,100 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:[51, 10], Operations: ['12+39=51', '2*5=10']
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,100 unequal: No Solution
Exploring Operation: 51+10=61, Resulting Numbers: [61]
61,100 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 #0,0
Current State: 100:[2, 5, 27], Operations: ['39-12=27']
Exploring Operation: 27-2=25, Resulting Numbers: [5, 25]
Generated Node #0,0,0: 100:[5, 25] Operation: 27-2=25
Exploring Operation: 2*5=10, Resulting Numbers: [27, 10]
Generated Node #0,0,1: 100:[27, 10] Operation: 2*5=10
Moving to Node #0,0,0
Current State: 100:[5, 25], Operations: ['39-12=27', '27-2=25']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[27, 10], Operations: ['39-12=27', '2*5=10']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,100 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 |
[
92,
42,
87,
82
] | 40 | [
"92+82=174",
"174/87=2",
"42-2=40"
] | Current State: 40:[92, 42, 87, 82], Operations: []
Exploring Operation: 92+82=174, Resulting Numbers: [42, 87, 174]
Generated Node #2: [42, 87, 174] from Operation: 92+82=174
Current State: 40:[42, 87, 174], Operations: ['92+82=174']
Exploring Operation: 174/87=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 174/87=2
Current State: 40:[42, 2], Operations: ['92+82=174', '174/87=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[92, 42, 87, 82], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [92, 42, 5]
Generated Node #0,0: 40:[92, 42, 5] Operation: 87-82=5
Exploring Operation: 92-82=10, Resulting Numbers: [42, 87, 10]
Generated Node #0,1: 40:[42, 87, 10] Operation: 92-82=10
Exploring Operation: 92-87=5, Resulting Numbers: [42, 82, 5]
Generated Node #0,2: 40:[42, 82, 5] Operation: 92-87=5
Exploring Operation: 92-42=50, Resulting Numbers: [87, 82, 50]
Generated Node #0,3: 40:[87, 82, 50] Operation: 92-42=50
Exploring Operation: 87-42=45, Resulting Numbers: [92, 82, 45]
Generated Node #0,4: 40:[92, 82, 45] Operation: 87-42=45
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[42, 82, 5], Operations: ['92-87=5']
Exploring Operation: 42+5=47, Resulting Numbers: [82, 47]
Generated Node #0,2,0: 40:[82, 47] Operation: 42+5=47
Exploring Operation: 82-5=77, Resulting Numbers: [42, 77]
Generated Node #0,2,1: 40:[42, 77] Operation: 82-5=77
Exploring Operation: 82+5=87, Resulting Numbers: [42, 87]
Generated Node #0,2,2: 40:[42, 87] Operation: 82+5=87
Exploring Operation: 42-5=37, Resulting Numbers: [82, 37]
Generated Node #0,2,3: 40:[82, 37] Operation: 42-5=37
Exploring Operation: 82-42=40, Resulting Numbers: [5, 40]
Generated Node #0,2,4: 40:[5, 40] Operation: 82-42=40
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 40:[5, 40], Operations: ['92-87=5', '82-42=40']
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 5*40=200, Resulting Numbers: [200]
200,40 unequal: No Solution
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,40 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: 40:[42, 77], Operations: ['92-87=5', '82-5=77']
Exploring Operation: 42+77=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 77-42=35, Resulting Numbers: [35]
35,40 unequal: No Solution
Exploring Operation: 42*77=3234, Resulting Numbers: [3234]
3234,40 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: 40:[82, 37], Operations: ['92-87=5', '42-5=37']
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 82*37=3034, Resulting Numbers: [3034]
3034,40 unequal: No Solution
Exploring Operation: 82+37=119, Resulting Numbers: [119]
119,40 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: 40:[82, 47], Operations: ['92-87=5', '42+5=47']
Exploring Operation: 82*47=3854, Resulting Numbers: [3854]
3854,40 unequal: No Solution
Exploring Operation: 82+47=129, Resulting Numbers: [129]
129,40 unequal: No Solution
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,40 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: 40:[42, 87], Operations: ['92-87=5', '82+5=87']
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 42*87=3654, Resulting Numbers: [3654]
3654,40 unequal: No Solution
Exploring Operation: 42+87=129, Resulting Numbers: [129]
129,40 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: 40:[42, 87, 10], Operations: ['92-82=10']
Exploring Operation: 87-42=45, Resulting Numbers: [10, 45]
Generated Node #0,1,0: 40:[10, 45] Operation: 87-42=45
Exploring Operation: 87+10=97, Resulting Numbers: [42, 97]
Generated Node #0,1,1: 40:[42, 97] Operation: 87+10=97
Exploring Operation: 42+10=52, Resulting Numbers: [87, 52]
Generated Node #0,1,2: 40:[87, 52] Operation: 42+10=52
Exploring Operation: 87-10=77, Resulting Numbers: [42, 77]
Generated Node #0,1,3: 40:[42, 77] Operation: 87-10=77
Exploring Operation: 42-10=32, Resulting Numbers: [87, 32]
Generated Node #0,1,4: 40:[87, 32] Operation: 42-10=32
Moving to Node #0,1,0
Current State: 40:[10, 45], Operations: ['92-82=10', '87-42=45']
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Exploring Operation: 10*45=450, Resulting Numbers: [450]
450,40 unequal: No Solution
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,40 unequal: No Solution
Moving to Node #0,1,3
Current State: 40:[42, 77], Operations: ['92-82=10', '87-10=77']
Exploring Operation: 42+77=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 42*77=3234, Resulting Numbers: [3234]
3234,40 unequal: No Solution
Exploring Operation: 77-42=35, Resulting Numbers: [35]
35,40 unequal: No Solution
Moving to Node #0,1,4
Current State: 40:[87, 32], Operations: ['92-82=10', '42-10=32']
Exploring Operation: 87-32=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Exploring Operation: 87+32=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 87*32=2784, Resulting Numbers: [2784]
2784,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[42, 97], Operations: ['92-82=10', '87+10=97']
Exploring Operation: 97-42=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Exploring Operation: 42*97=4074, Resulting Numbers: [4074]
4074,40 unequal: No Solution
Exploring Operation: 42+97=139, Resulting Numbers: [139]
139,40 unequal: No Solution
Moving to Node #0,1,2
Current State: 40:[87, 52], Operations: ['92-82=10', '42+10=52']
Exploring Operation: 87*52=4524, Resulting Numbers: [4524]
4524,40 unequal: No Solution
Exploring Operation: 87+52=139, Resulting Numbers: [139]
139,40 unequal: No Solution
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,40 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: 40:[92, 42, 5], Operations: ['87-82=5']
Exploring Operation: 42-5=37, Resulting Numbers: [92, 37]
Generated Node #0,0,0: 40:[92, 37] Operation: 42-5=37
Exploring Operation: 92-5=87, Resulting Numbers: [42, 87]
Generated Node #0,0,1: 40:[42, 87] Operation: 92-5=87
Exploring Operation: 42+5=47, Resulting Numbers: [92, 47]
Generated Node #0,0,2: 40:[92, 47] Operation: 42+5=47
Exploring Operation: 92-42=50, Resulting Numbers: [5, 50]
Generated Node #0,0,3: 40:[5, 50] Operation: 92-42=50
Exploring Operation: 92+5=97, Resulting Numbers: [42, 97]
Generated Node #0,0,4: 40:[42, 97] Operation: 92+5=97
Moving to Node #0,0,3
Current State: 40:[5, 50], Operations: ['87-82=5', '92-42=50']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 5+50=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Exploring Operation: 5*50=250, Resulting Numbers: [250]
250,40 unequal: No Solution
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[42, 87], Operations: ['87-82=5', '92-5=87']
Exploring Operation: 42+87=129, Resulting Numbers: [129]
129,40 unequal: No Solution
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 42*87=3654, Resulting Numbers: [3654]
3654,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[92, 37], Operations: ['87-82=5', '42-5=37']
Exploring Operation: 92-37=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Exploring Operation: 92*37=3404, Resulting Numbers: [3404]
3404,40 unequal: No Solution
Exploring Operation: 92+37=129, Resulting Numbers: [129]
129,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[92, 47], Operations: ['87-82=5', '42+5=47']
Exploring Operation: 92-47=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 92*47=4324, Resulting Numbers: [4324]
4324,40 unequal: No Solution
Exploring Operation: 92+47=139, Resulting Numbers: [139]
139,40 unequal: No Solution
Moving to Node #0,0,4
Current State: 40:[42, 97], Operations: ['87-82=5', '92+5=97']
Exploring Operation: 42+97=139, Resulting Numbers: [139]
139,40 unequal: No Solution
Exploring Operation: 42*97=4074, Resulting Numbers: [4074]
4074,40 unequal: No Solution
Exploring Operation: 97-42=55, Resulting Numbers: [55]
55,40 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: 40:[87, 82, 50], Operations: ['92-42=50']
Exploring Operation: 87+82=169, Resulting Numbers: [50, 169]
Generated Node #0,3,0: 40:[50, 169] Operation: 87+82=169
Exploring Operation: 87-50=37, Resulting Numbers: [82, 37]
Generated Node #0,3,1: 40:[82, 37] Operation: 87-50=37
Exploring Operation: 82-50=32, Resulting Numbers: [87, 32]
Generated Node #0,3,2: 40:[87, 32] Operation: 82-50=32
Exploring Operation: 87+50=137, Resulting Numbers: [82, 137]
Generated Node #0,3,3: 40:[82, 137] Operation: 87+50=137
Exploring Operation: 87-82=5, Resulting Numbers: [50, 5]
Generated Node #0,3,4: 40:[50, 5] Operation: 87-82=5
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 40:[50, 5], Operations: ['92-42=50', '87-82=5']
Exploring Operation: 50+5=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 50*5=250, Resulting Numbers: [250]
250,40 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: 40:[82, 37], Operations: ['92-42=50', '87-50=37']
Exploring Operation: 82*37=3034, Resulting Numbers: [3034]
3034,40 unequal: No Solution
Exploring Operation: 82+37=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,40 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: 40:[87, 32], Operations: ['92-42=50', '82-50=32']
Exploring Operation: 87-32=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Exploring Operation: 87+32=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 87*32=2784, Resulting Numbers: [2784]
2784,40 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: 40:[50, 169], Operations: ['92-42=50', '87+82=169']
Exploring Operation: 50*169=8450, Resulting Numbers: [8450]
8450,40 unequal: No Solution
Exploring Operation: 50+169=219, Resulting Numbers: [219]
219,40 unequal: No Solution
Exploring Operation: 169-50=119, Resulting Numbers: [119]
119,40 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: 40:[82, 137], Operations: ['92-42=50', '87+50=137']
Exploring Operation: 82+137=219, Resulting Numbers: [219]
219,40 unequal: No Solution
Exploring Operation: 137-82=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Exploring Operation: 82*137=11234, Resulting Numbers: [11234]
11234,40 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 #0,4
Current State: 40:[92, 82, 45], Operations: ['87-42=45']
Exploring Operation: 82-45=37, Resulting Numbers: [92, 37]
Generated Node #0,4,0: 40:[92, 37] Operation: 82-45=37
Exploring Operation: 92-45=47, Resulting Numbers: [82, 47]
Generated Node #0,4,1: 40:[82, 47] Operation: 92-45=47
Exploring Operation: 92+45=137, Resulting Numbers: [82, 137]
Generated Node #0,4,2: 40:[82, 137] Operation: 92+45=137
Exploring Operation: 92+82=174, Resulting Numbers: [45, 174]
Generated Node #0,4,3: 40:[45, 174] Operation: 92+82=174
Exploring Operation: 92-82=10, Resulting Numbers: [45, 10]
Generated Node #0,4,4: 40:[45, 10] Operation: 92-82=10
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 40:[45, 10], Operations: ['87-42=45', '92-82=10']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,40 unequal: No Solution
Exploring Operation: 45+10=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Exploring Operation: 45*10=450, Resulting Numbers: [450]
450,40 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 #0,4,1
Current State: 40:[82, 47], Operations: ['87-42=45', '92-45=47']
Exploring Operation: 82*47=3854, Resulting Numbers: [3854]
3854,40 unequal: No Solution
Exploring Operation: 82+47=129, Resulting Numbers: [129]
129,40 unequal: No Solution
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,40 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 #0,4,0
Current State: 40:[92, 37], Operations: ['87-42=45', '82-45=37']
Exploring Operation: 92-37=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Exploring Operation: 92+37=129, Resulting Numbers: [129]
129,40 unequal: No Solution
Exploring Operation: 92*37=3404, Resulting Numbers: [3404]
3404,40 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 #0,4,2
Current State: 40:[82, 137], Operations: ['87-42=45', '92+45=137']
Exploring Operation: 137-82=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Exploring Operation: 82*137=11234, Resulting Numbers: [11234]
11234,40 unequal: No Solution
Exploring Operation: 82+137=219, Resulting Numbers: [219]
219,40 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 #0,4,3
Current State: 40:[45, 174], Operations: ['87-42=45', '92+82=174']
Exploring Operation: 174-45=129, Resulting Numbers: [129]
129,40 unequal: No Solution
Exploring Operation: 45*174=7830, Resulting Numbers: [7830]
7830,40 unequal: No Solution
Exploring Operation: 45+174=219, Resulting Numbers: [219]
219,40 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 | mult_heuristic |
[
69,
36,
18,
44
] | 94 | [
"69*36=2484",
"2484/18=138",
"138-44=94"
] | Current State: 94:[69, 36, 18, 44], Operations: []
Exploring Operation: 69*36=2484, Resulting Numbers: [18, 44, 2484]
Generated Node #2: [18, 44, 2484] from Operation: 69*36=2484
Current State: 94:[18, 44, 2484], Operations: ['69*36=2484']
Exploring Operation: 2484/18=138, Resulting Numbers: [44, 138]
Generated Node #3: [44, 138] from Operation: 2484/18=138
Current State: 94:[44, 138], Operations: ['69*36=2484', '2484/18=138']
Exploring Operation: 138-44=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[69, 36, 18, 44], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [69, 44, 2]
Generated Node #0,0: 94:[69, 44, 2] Operation: 36/18=2
Exploring Operation: 69-18=51, Resulting Numbers: [36, 44, 51]
Generated Node #0,1: 94:[36, 44, 51] Operation: 69-18=51
Exploring Operation: 69+18=87, Resulting Numbers: [36, 44, 87]
Generated Node #0,2: 94:[36, 44, 87] Operation: 69+18=87
Moving to Node #0,1
Current State: 94:[36, 44, 51], Operations: ['69-18=51']
Exploring Operation: 44-36=8, Resulting Numbers: [51, 8]
Generated Node #0,1,0: 94:[51, 8] Operation: 44-36=8
Exploring Operation: 44+51=95, Resulting Numbers: [36, 95]
Generated Node #0,1,1: 94:[36, 95] Operation: 44+51=95
Exploring Operation: 36+51=87, Resulting Numbers: [44, 87]
Generated Node #0,1,2: 94:[44, 87] Operation: 36+51=87
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[51, 8], Operations: ['69-18=51', '44-36=8']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,94 unequal: No Solution
Exploring Operation: 51*8=408, Resulting Numbers: [408]
408,94 unequal: No Solution
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,94 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: 94:[44, 87], Operations: ['69-18=51', '36+51=87']
Exploring Operation: 44+87=131, Resulting Numbers: [131]
131,94 unequal: No Solution
Exploring Operation: 44*87=3828, Resulting Numbers: [3828]
3828,94 unequal: No Solution
Exploring Operation: 87-44=43, Resulting Numbers: [43]
43,94 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: 94:[36, 95], Operations: ['69-18=51', '44+51=95']
Exploring Operation: 36+95=131, Resulting Numbers: [131]
131,94 unequal: No Solution
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,94 unequal: No Solution
Exploring Operation: 36*95=3420, Resulting Numbers: [3420]
3420,94 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: 94:[36, 44, 87], Operations: ['69+18=87']
Exploring Operation: 87-44=43, Resulting Numbers: [36, 43]
Generated Node #0,2,0: 94:[36, 43] Operation: 87-44=43
Exploring Operation: 44-36=8, Resulting Numbers: [87, 8]
Generated Node #0,2,1: 94:[87, 8] Operation: 44-36=8
Exploring Operation: 87-36=51, Resulting Numbers: [44, 51]
Generated Node #0,2,2: 94:[44, 51] Operation: 87-36=51
Moving to Node #0,0
Current State: 94:[69, 44, 2], Operations: ['36/18=2']
Exploring Operation: 69-44=25, Resulting Numbers: [2, 25]
Generated Node #0,0,0: 94:[2, 25] Operation: 69-44=25
Exploring Operation: 69+44=113, Resulting Numbers: [2, 113]
Generated Node #0,0,1: 94:[2, 113] Operation: 69+44=113
Exploring Operation: 69-2=67, Resulting Numbers: [44, 67]
Generated Node #0,0,2: 94:[44, 67] Operation: 69-2=67
Moving to Node #0,2,2
Current State: 94:[44, 51], Operations: ['69+18=87', '87-36=51']
Exploring Operation: 44+51=95, Resulting Numbers: [95]
95,94 unequal: No Solution
Exploring Operation: 51-44=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 44*51=2244, Resulting Numbers: [2244]
2244,94 unequal: No Solution
Moving to Node #0,2,1
Current State: 94:[87, 8], Operations: ['69+18=87', '44-36=8']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,94 unequal: No Solution
Exploring Operation: 87*8=696, Resulting Numbers: [696]
696,94 unequal: No Solution
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,94 unequal: No Solution
Moving to Node #0,2,0
Current State: 94:[36, 43], Operations: ['69+18=87', '87-44=43']
Exploring Operation: 36+43=79, Resulting Numbers: [79]
79,94 unequal: No Solution
Exploring Operation: 43-36=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 36*43=1548, Resulting Numbers: [1548]
1548,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[2, 113], Operations: ['36/18=2', '69+44=113']
Exploring Operation: 2+113=115, Resulting Numbers: [115]
115,94 unequal: No Solution
Exploring Operation: 113-2=111, Resulting Numbers: [111]
111,94 unequal: No Solution
Exploring Operation: 2*113=226, Resulting Numbers: [226]
226,94 unequal: No Solution
Moving to Node #0,0,0
Current State: 94:[2, 25], Operations: ['36/18=2', '69-44=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,94 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,94 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,94 unequal: No Solution
Moving to Node #0,0,2
Current State: 94:[44, 67], Operations: ['36/18=2', '69-2=67']
Exploring Operation: 67-44=23, Resulting Numbers: [23]
23,94 unequal: No Solution
Exploring Operation: 44*67=2948, Resulting Numbers: [2948]
2948,94 unequal: No Solution
Exploring Operation: 44+67=111, Resulting Numbers: [111]
111,94 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
39,
7,
11,
47
] | 45 | [
"47-39=8",
"7*8=56",
"56-11=45"
] | Current State: 45:[39, 7, 11, 47], Operations: []
Exploring Operation: 47-39=8, Resulting Numbers: [7, 11, 8]
Generated Node #2: [7, 11, 8] from Operation: 47-39=8
Current State: 45:[7, 11, 8], Operations: ['47-39=8']
Exploring Operation: 7*8=56, Resulting Numbers: [11, 56]
Generated Node #3: [11, 56] from Operation: 7*8=56
Current State: 45:[11, 56], Operations: ['47-39=8', '7*8=56']
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[39, 7, 11, 47], Operations: []
Exploring Operation: 7+11=18, Resulting Numbers: [39, 47, 18]
Generated Node #0,0: 45:[39, 47, 18] Operation: 7+11=18
Exploring Operation: 47-39=8, Resulting Numbers: [7, 11, 8]
Generated Node #0,1: 45:[7, 11, 8] Operation: 47-39=8
Exploring Operation: 39+7=46, Resulting Numbers: [11, 47, 46]
Generated Node #0,2: 45:[11, 47, 46] Operation: 39+7=46
Exploring Operation: 39+11=50, Resulting Numbers: [7, 47, 50]
Generated Node #0,3: 45:[7, 47, 50] Operation: 39+11=50
Exploring Operation: 11-7=4, Resulting Numbers: [39, 47, 4]
Generated Node #0,4: 45:[39, 47, 4] Operation: 11-7=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[7, 11, 8], Operations: ['47-39=8']
Exploring Operation: 8-7=1, Resulting Numbers: [11, 1]
Generated Node #0,1,0: 45:[11, 1] Operation: 8-7=1
Exploring Operation: 7+8=15, Resulting Numbers: [11, 15]
Generated Node #0,1,1: 45:[11, 15] Operation: 7+8=15
Exploring Operation: 7+11=18, Resulting Numbers: [8, 18]
Generated Node #0,1,2: 45:[8, 18] Operation: 7+11=18
Exploring Operation: 11-8=3, Resulting Numbers: [7, 3]
Generated Node #0,1,3: 45:[7, 3] Operation: 11-8=3
Exploring Operation: 11-7=4, Resulting Numbers: [8, 4]
Generated Node #0,1,4: 45:[8, 4] Operation: 11-7=4
Moving to Node #0,1,1
Current State: 45:[11, 15], Operations: ['47-39=8', '7+8=15']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 11*15=165, Resulting Numbers: [165]
165,45 unequal: No Solution
Moving to Node #0,1,4
Current State: 45:[8, 4], Operations: ['47-39=8', '11-7=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,45 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,45 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,45 unequal: No Solution
Moving to Node #0,1,3
Current State: 45:[7, 3], Operations: ['47-39=8', '11-8=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Moving to Node #0,1,0
Current State: 45:[11, 1], Operations: ['47-39=8', '8-7=1']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,45 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Moving to Node #0,1,2
Current State: 45:[8, 18], Operations: ['47-39=8', '7+11=18']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 8*18=144, Resulting Numbers: [144]
144,45 unequal: No Solution
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,45 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 #0,2
Current State: 45:[11, 47, 46], Operations: ['39+7=46']
Exploring Operation: 11+46=57, Resulting Numbers: [47, 57]
Generated Node #0,2,0: 45:[47, 57] Operation: 11+46=57
Exploring Operation: 11+47=58, Resulting Numbers: [46, 58]
Generated Node #0,2,1: 45:[46, 58] Operation: 11+47=58
Exploring Operation: 47-11=36, Resulting Numbers: [46, 36]
Generated Node #0,2,2: 45:[46, 36] Operation: 47-11=36
Exploring Operation: 47-46=1, Resulting Numbers: [11, 1]
Generated Node #0,2,3: 45:[11, 1] Operation: 47-46=1
Exploring Operation: 46-11=35, Resulting Numbers: [47, 35]
Generated Node #0,2,4: 45:[47, 35] Operation: 46-11=35
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 45:[11, 1], Operations: ['39+7=46', '47-46=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,45 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,45 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:[46, 36], Operations: ['39+7=46', '47-11=36']
Exploring Operation: 46+36=82, Resulting Numbers: [82]
82,45 unequal: No Solution
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 46*36=1656, Resulting Numbers: [1656]
1656,45 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:[47, 35], Operations: ['39+7=46', '46-11=35']
Exploring Operation: 47*35=1645, Resulting Numbers: [1645]
1645,45 unequal: No Solution
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,45 unequal: No Solution
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,45 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:[47, 57], Operations: ['39+7=46', '11+46=57']
Exploring Operation: 47*57=2679, Resulting Numbers: [2679]
2679,45 unequal: No Solution
Exploring Operation: 57-47=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 47+57=104, Resulting Numbers: [104]
104,45 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 #0,2,1
Current State: 45:[46, 58], Operations: ['39+7=46', '11+47=58']
Exploring Operation: 46*58=2668, Resulting Numbers: [2668]
2668,45 unequal: No Solution
Exploring Operation: 58-46=12, Resulting Numbers: [12]
12,45 unequal: No Solution
Exploring Operation: 46+58=104, Resulting Numbers: [104]
104,45 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 #0,3
Current State: 45:[7, 47, 50], Operations: ['39+11=50']
Exploring Operation: 47-7=40, Resulting Numbers: [50, 40]
Generated Node #0,3,0: 45:[50, 40] Operation: 47-7=40
Exploring Operation: 50-47=3, Resulting Numbers: [7, 3]
Generated Node #0,3,1: 45:[7, 3] Operation: 50-47=3
Exploring Operation: 7+47=54, Resulting Numbers: [50, 54]
Generated Node #0,3,2: 45:[50, 54] Operation: 7+47=54
Exploring Operation: 50-7=43, Resulting Numbers: [47, 43]
Generated Node #0,3,3: 45:[47, 43] Operation: 50-7=43
Exploring Operation: 7+50=57, Resulting Numbers: [47, 57]
Generated Node #0,3,4: 45:[47, 57] Operation: 7+50=57
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 45:[7, 3], Operations: ['39+11=50', '50-47=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,45 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:[47, 43], Operations: ['39+11=50', '50-7=43']
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 47+43=90, Resulting Numbers: [90]
90,45 unequal: No Solution
Exploring Operation: 47*43=2021, Resulting Numbers: [2021]
2021,45 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 #0,3,0
Current State: 45:[50, 40], Operations: ['39+11=50', '47-7=40']
Exploring Operation: 50+40=90, Resulting Numbers: [90]
90,45 unequal: No Solution
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 50*40=2000, Resulting Numbers: [2000]
2000,45 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:[50, 54], Operations: ['39+11=50', '7+47=54']
Exploring Operation: 50+54=104, Resulting Numbers: [104]
104,45 unequal: No Solution
Exploring Operation: 50*54=2700, Resulting Numbers: [2700]
2700,45 unequal: No Solution
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,45 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:[47, 57], Operations: ['39+11=50', '7+50=57']
Exploring Operation: 57-47=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 47+57=104, Resulting Numbers: [104]
104,45 unequal: No Solution
Exploring Operation: 47*57=2679, Resulting Numbers: [2679]
2679,45 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 #0,4
Current State: 45:[39, 47, 4], Operations: ['11-7=4']
Exploring Operation: 39+4=43, Resulting Numbers: [47, 43]
Generated Node #0,4,0: 45:[47, 43] Operation: 39+4=43
Exploring Operation: 39-4=35, Resulting Numbers: [47, 35]
Generated Node #0,4,1: 45:[47, 35] Operation: 39-4=35
Exploring Operation: 47-4=43, Resulting Numbers: [39, 43]
Generated Node #0,4,2: 45:[39, 43] Operation: 47-4=43
Exploring Operation: 47-39=8, Resulting Numbers: [4, 8]
Generated Node #0,4,3: 45:[4, 8] Operation: 47-39=8
Exploring Operation: 47+4=51, Resulting Numbers: [39, 51]
Generated Node #0,4,4: 45:[39, 51] Operation: 47+4=51
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 45:[4, 8], Operations: ['11-7=4', '47-39=8']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,45 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,45 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,45 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 #0,4,0
Current State: 45:[47, 43], Operations: ['11-7=4', '39+4=43']
Exploring Operation: 47+43=90, Resulting Numbers: [90]
90,45 unequal: No Solution
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 47*43=2021, Resulting Numbers: [2021]
2021,45 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 #0,4,2
Current State: 45:[39, 43], Operations: ['11-7=4', '47-4=43']
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 39*43=1677, Resulting Numbers: [1677]
1677,45 unequal: No Solution
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,45 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 #0,4,1
Current State: 45:[47, 35], Operations: ['11-7=4', '39-4=35']
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,45 unequal: No Solution
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,45 unequal: No Solution
Exploring Operation: 47*35=1645, Resulting Numbers: [1645]
1645,45 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 #0,4,4
Current State: 45:[39, 51], Operations: ['11-7=4', '47+4=51']
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,45 unequal: No Solution
Exploring Operation: 39+51=90, Resulting Numbers: [90]
90,45 unequal: No Solution
Exploring Operation: 39*51=1989, Resulting Numbers: [1989]
1989,45 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:[39, 47, 18], Operations: ['7+11=18']
Exploring Operation: 47-39=8, Resulting Numbers: [18, 8]
Generated Node #0,0,0: 45:[18, 8] Operation: 47-39=8
Exploring Operation: 39+18=57, Resulting Numbers: [47, 57]
Generated Node #0,0,1: 45:[47, 57] Operation: 39+18=57
Exploring Operation: 47-18=29, Resulting Numbers: [39, 29]
Generated Node #0,0,2: 45:[39, 29] Operation: 47-18=29
Exploring Operation: 39-18=21, Resulting Numbers: [47, 21]
Generated Node #0,0,3: 45:[47, 21] Operation: 39-18=21
Exploring Operation: 47+18=65, Resulting Numbers: [39, 65]
Generated Node #0,0,4: 45:[39, 65] Operation: 47+18=65
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[18, 8], Operations: ['7+11=18', '47-39=8']
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 18*8=144, Resulting Numbers: [144]
144,45 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,45 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 #0,0,3
Current State: 45:[47, 21], Operations: ['7+11=18', '39-18=21']
Exploring Operation: 47*21=987, Resulting Numbers: [987]
987,45 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,45 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 #0,0,1
Current State: 45:[47, 57], Operations: ['7+11=18', '39+18=57']
Exploring Operation: 47+57=104, Resulting Numbers: [104]
104,45 unequal: No Solution
Exploring Operation: 57-47=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 47*57=2679, Resulting Numbers: [2679]
2679,45 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 #0,0,2
Current State: 45:[39, 29], Operations: ['7+11=18', '47-18=29']
Exploring Operation: 39*29=1131, Resulting Numbers: [1131]
1131,45 unequal: No Solution
Exploring Operation: 39+29=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,45 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 #0,0,4
Current State: 45:[39, 65], Operations: ['7+11=18', '47+18=65']
Exploring Operation: 39*65=2535, Resulting Numbers: [2535]
2535,45 unequal: No Solution
Exploring Operation: 39+65=104, Resulting Numbers: [104]
104,45 unequal: No Solution
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,45 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
No solution found.
| 0 | hs_5 | mult_heuristic |
[
55,
43,
88,
92
] | 82 | [
"55+43=98",
"88+92=180",
"180-98=82"
] | Current State: 82:[55, 43, 88, 92], Operations: []
Exploring Operation: 55+43=98, Resulting Numbers: [88, 92, 98]
Generated Node #2: [88, 92, 98] from Operation: 55+43=98
Current State: 82:[88, 92, 98], Operations: ['55+43=98']
Exploring Operation: 88+92=180, Resulting Numbers: [98, 180]
Generated Node #3: [98, 180] from Operation: 88+92=180
Current State: 82:[98, 180], Operations: ['55+43=98', '88+92=180']
Exploring Operation: 180-98=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[55, 43, 88, 92], Operations: []
Exploring Operation: 88-55=33, Resulting Numbers: [43, 92, 33]
Generated Node #0,0: 82:[43, 92, 33] Operation: 88-55=33
Exploring Operation: 92-55=37, Resulting Numbers: [43, 88, 37]
Generated Node #0,1: 82:[43, 88, 37] Operation: 92-55=37
Exploring Operation: 88-43=45, Resulting Numbers: [55, 92, 45]
Generated Node #0,2: 82:[55, 92, 45] Operation: 88-43=45
Exploring Operation: 92-88=4, Resulting Numbers: [55, 43, 4]
Generated Node #0,3: 82:[55, 43, 4] Operation: 92-88=4
Exploring Operation: 55-43=12, Resulting Numbers: [88, 92, 12]
Generated Node #0,4: 82:[88, 92, 12] Operation: 55-43=12
Moving to Node #0,1
Current State: 82:[43, 88, 37], Operations: ['92-55=37']
Exploring Operation: 88-37=51, Resulting Numbers: [43, 51]
Generated Node #0,1,0: 82:[43, 51] Operation: 88-37=51
Exploring Operation: 43-37=6, Resulting Numbers: [88, 6]
Generated Node #0,1,1: 82:[88, 6] Operation: 43-37=6
Exploring Operation: 88+37=125, Resulting Numbers: [43, 125]
Generated Node #0,1,2: 82:[43, 125] Operation: 88+37=125
Exploring Operation: 88-43=45, Resulting Numbers: [37, 45]
Generated Node #0,1,3: 82:[37, 45] Operation: 88-43=45
Exploring Operation: 43+37=80, Resulting Numbers: [88, 80]
Generated Node #0,1,4: 82:[88, 80] Operation: 43+37=80
Moving to Node #0,3
Current State: 82:[55, 43, 4], Operations: ['92-88=4']
Exploring Operation: 55-4=51, Resulting Numbers: [43, 51]
Generated Node #0,3,0: 82:[43, 51] Operation: 55-4=51
Exploring Operation: 55-43=12, Resulting Numbers: [4, 12]
Generated Node #0,3,1: 82:[4, 12] Operation: 55-43=12
Exploring Operation: 43-4=39, Resulting Numbers: [55, 39]
Generated Node #0,3,2: 82:[55, 39] Operation: 43-4=39
Exploring Operation: 55+43=98, Resulting Numbers: [4, 98]
Generated Node #0,3,3: 82:[4, 98] Operation: 55+43=98
Exploring Operation: 55+4=59, Resulting Numbers: [43, 59]
Generated Node #0,3,4: 82:[43, 59] Operation: 55+4=59
Moving to Node #0,0
Current State: 82:[43, 92, 33], Operations: ['88-55=33']
Exploring Operation: 43-33=10, Resulting Numbers: [92, 10]
Generated Node #0,0,0: 82:[92, 10] Operation: 43-33=10
Exploring Operation: 92-33=59, Resulting Numbers: [43, 59]
Generated Node #0,0,1: 82:[43, 59] Operation: 92-33=59
Exploring Operation: 92-43=49, Resulting Numbers: [33, 49]
Generated Node #0,0,2: 82:[33, 49] Operation: 92-43=49
Exploring Operation: 92+33=125, Resulting Numbers: [43, 125]
Generated Node #0,0,3: 82:[43, 125] Operation: 92+33=125
Exploring Operation: 43+33=76, Resulting Numbers: [92, 76]
Generated Node #0,0,4: 82:[92, 76] Operation: 43+33=76
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 82:[33, 49], Operations: ['88-55=33', '92-43=49']
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,82 unequal: No Solution
Exploring Operation: 33*49=1617, Resulting Numbers: [1617]
1617,82 unequal: No Solution
Exploring Operation: 33+49=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[55, 43, 88, 92], Operations: []
Exploring Operation: 88-55=33, Resulting Numbers: [43, 92, 33]
Generated Node #0,0: 82:[43, 92, 33] Operation: 88-55=33
Moving to Node #0,0
Current State: 82:[43, 92, 33], Operations: ['88-55=33']
Exploring Operation: 92-43=49, Resulting Numbers: [33, 49]
Generated Node #0,0,2: 82:[33, 49] Operation: 92-43=49
Moving to Node #0,0,2
Current State: 82:[33, 49], Operations: ['88-55=33', '92-43=49']
Exploring Operation: 33+49=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | sum_heuristic |
[
32,
14,
97,
74
] | 23 | [
"32+14=46",
"97-74=23",
"46-23=23"
] | Current State: 23:[32, 14, 97, 74], Operations: []
Exploring Operation: 32+14=46, Resulting Numbers: [97, 74, 46]
Generated Node #2: [97, 74, 46] from Operation: 32+14=46
Current State: 23:[97, 74, 46], Operations: ['32+14=46']
Exploring Operation: 97-74=23, Resulting Numbers: [46, 23]
Generated Node #3: [46, 23] from Operation: 97-74=23
Current State: 23:[46, 23], Operations: ['32+14=46', '97-74=23']
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[32, 14, 97, 74], Operations: []
Exploring Operation: 74-14=60, Resulting Numbers: [32, 97, 60]
Generated Node #0,0: 23:[32, 97, 60] Operation: 74-14=60
Exploring Operation: 74-32=42, Resulting Numbers: [14, 97, 42]
Generated Node #0,1: 23:[14, 97, 42] Operation: 74-32=42
Exploring Operation: 97-74=23, Resulting Numbers: [32, 14, 23]
Generated Node #0,2: 23:[32, 14, 23] Operation: 97-74=23
Exploring Operation: 97-14=83, Resulting Numbers: [32, 74, 83]
Generated Node #0,3: 23:[32, 74, 83] Operation: 97-14=83
Exploring Operation: 97-32=65, Resulting Numbers: [14, 74, 65]
Generated Node #0,4: 23:[14, 74, 65] Operation: 97-32=65
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[32, 14, 23], Operations: ['97-74=23']
Exploring Operation: 32-14=18, Resulting Numbers: [23, 18]
Generated Node #0,2,0: 23:[23, 18] Operation: 32-14=18
Exploring Operation: 32-23=9, Resulting Numbers: [14, 9]
Generated Node #0,2,1: 23:[14, 9] Operation: 32-23=9
Exploring Operation: 14+23=37, Resulting Numbers: [32, 37]
Generated Node #0,2,2: 23:[32, 37] Operation: 14+23=37
Exploring Operation: 32+14=46, Resulting Numbers: [23, 46]
Generated Node #0,2,3: 23:[23, 46] Operation: 32+14=46
Exploring Operation: 23-14=9, Resulting Numbers: [32, 9]
Generated Node #0,2,4: 23:[32, 9] Operation: 23-14=9
Moving to Node #0,2,0
Current State: 23:[23, 18], Operations: ['97-74=23', '32-14=18']
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 23*18=414, Resulting Numbers: [414]
414,23 unequal: No Solution
Moving to Node #0,2,2
Current State: 23:[32, 37], Operations: ['97-74=23', '14+23=37']
Exploring Operation: 37-32=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 32*37=1184, Resulting Numbers: [1184]
1184,23 unequal: No Solution
Exploring Operation: 32+37=69, Resulting Numbers: [69]
69,23 unequal: No Solution
Moving to Node #0,2,4
Current State: 23:[32, 9], Operations: ['97-74=23', '23-14=9']
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[32, 14, 97, 74], Operations: []
Exploring Operation: 97-74=23, Resulting Numbers: [32, 14, 23]
Generated Node #0,2: 23:[32, 14, 23] Operation: 97-74=23
Moving to Node #0,2
Current State: 23:[32, 14, 23], Operations: ['97-74=23']
Exploring Operation: 23-14=9, Resulting Numbers: [32, 9]
Generated Node #0,2,4: 23:[32, 9] Operation: 23-14=9
Moving to Node #0,2,4
Current State: 23:[32, 9], Operations: ['97-74=23', '23-14=9']
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
26,
58,
31,
2
] | 24 | [
"31-26=5",
"58/2=29",
"29-5=24"
] | Current State: 24:[26, 58, 31, 2], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [58, 2, 5]
Generated Node #2: [58, 2, 5] from Operation: 31-26=5
Current State: 24:[58, 2, 5], Operations: ['31-26=5']
Exploring Operation: 58/2=29, Resulting Numbers: [5, 29]
Generated Node #3: [5, 29] from Operation: 58/2=29
Current State: 24:[5, 29], Operations: ['31-26=5', '58/2=29']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[26, 58, 31, 2], Operations: []
Exploring Operation: 26-2=24, Resulting Numbers: [58, 31, 24]
Generated Node #0,0: 24:[58, 31, 24] Operation: 26-2=24
Exploring Operation: 58-31=27, Resulting Numbers: [26, 2, 27]
Generated Node #0,1: 24:[26, 2, 27] Operation: 58-31=27
Exploring Operation: 58/2=29, Resulting Numbers: [26, 31, 29]
Generated Node #0,2: 24:[26, 31, 29] Operation: 58/2=29
Exploring Operation: 31-26=5, Resulting Numbers: [58, 2, 5]
Generated Node #0,3: 24:[58, 2, 5] Operation: 31-26=5
Exploring Operation: 58-26=32, Resulting Numbers: [31, 2, 32]
Generated Node #0,4: 24:[31, 2, 32] Operation: 58-26=32
Moving to Node #0,1
Current State: 24:[26, 2, 27], Operations: ['58-31=27']
Exploring Operation: 27-2=25, Resulting Numbers: [26, 25]
Generated Node #0,1,0: 24:[26, 25] Operation: 27-2=25
Exploring Operation: 26-2=24, Resulting Numbers: [27, 24]
Generated Node #0,1,1: 24:[27, 24] Operation: 26-2=24
Exploring Operation: 26/2=13, Resulting Numbers: [27, 13]
Generated Node #0,1,2: 24:[27, 13] Operation: 26/2=13
Exploring Operation: 26+2=28, Resulting Numbers: [27, 28]
Generated Node #0,1,3: 24:[27, 28] Operation: 26+2=28
Exploring Operation: 27-26=1, Resulting Numbers: [2, 1]
Generated Node #0,1,4: 24:[2, 1] Operation: 27-26=1
Moving to Node #0,2
Current State: 24:[26, 31, 29], Operations: ['58/2=29']
Exploring Operation: 31-29=2, Resulting Numbers: [26, 2]
Generated Node #0,2,0: 24:[26, 2] Operation: 31-29=2
Exploring Operation: 26+29=55, Resulting Numbers: [31, 55]
Generated Node #0,2,1: 24:[31, 55] Operation: 26+29=55
Exploring Operation: 26+31=57, Resulting Numbers: [29, 57]
Generated Node #0,2,2: 24:[29, 57] Operation: 26+31=57
Exploring Operation: 29-26=3, Resulting Numbers: [31, 3]
Generated Node #0,2,3: 24:[31, 3] Operation: 29-26=3
Exploring Operation: 31-26=5, Resulting Numbers: [29, 5]
Generated Node #0,2,4: 24:[29, 5] Operation: 31-26=5
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 24:[26, 2], Operations: ['58/2=29', '31-29=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[26, 58, 31, 2], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [26, 31, 29]
Generated Node #0,2: 24:[26, 31, 29] Operation: 58/2=29
Moving to Node #0,2
Current State: 24:[26, 31, 29], Operations: ['58/2=29']
Exploring Operation: 31-29=2, Resulting Numbers: [26, 2]
Generated Node #0,2,0: 24:[26, 2] Operation: 31-29=2
Moving to Node #0,2,0
Current State: 24:[26, 2], Operations: ['58/2=29', '31-29=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
8,
37,
89,
56
] | 63 | [
"56-37=19",
"8*19=152",
"152-89=63"
] | Current State: 63:[8, 37, 89, 56], Operations: []
Exploring Operation: 56-37=19, Resulting Numbers: [8, 89, 19]
Generated Node #2: [8, 89, 19] from Operation: 56-37=19
Current State: 63:[8, 89, 19], Operations: ['56-37=19']
Exploring Operation: 8*19=152, Resulting Numbers: [89, 152]
Generated Node #3: [89, 152] from Operation: 8*19=152
Current State: 63:[89, 152], Operations: ['56-37=19', '8*19=152']
Exploring Operation: 152-89=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[8, 37, 89, 56], Operations: []
Exploring Operation: 56-37=19, Resulting Numbers: [8, 89, 19]
Generated Node #0,0: 63:[8, 89, 19] Operation: 56-37=19
Exploring Operation: 37-8=29, Resulting Numbers: [89, 56, 29]
Generated Node #0,1: 63:[89, 56, 29] Operation: 37-8=29
Exploring Operation: 89-37=52, Resulting Numbers: [8, 56, 52]
Generated Node #0,2: 63:[8, 56, 52] Operation: 89-37=52
Exploring Operation: 89-56=33, Resulting Numbers: [8, 37, 33]
Generated Node #0,3: 63:[8, 37, 33] Operation: 89-56=33
Start Sub Search at level 1: Moving to Node #0,2
Current State: 63:[8, 56, 52], Operations: ['89-37=52']
Exploring Operation: 8+56=64, Resulting Numbers: [52, 64]
Generated Node #0,2,0: 63:[52, 64] Operation: 8+56=64
Exploring Operation: 56-52=4, Resulting Numbers: [8, 4]
Generated Node #0,2,1: 63:[8, 4] Operation: 56-52=4
Exploring Operation: 56/8=7, Resulting Numbers: [52, 7]
Generated Node #0,2,2: 63:[52, 7] Operation: 56/8=7
Exploring Operation: 8+52=60, Resulting Numbers: [56, 60]
Generated Node #0,2,3: 63:[56, 60] Operation: 8+52=60
Moving to Node #0,2,1
Current State: 63:[8, 4], Operations: ['89-37=52', '56-52=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,63 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Moving to Node #0,2,3
Current State: 63:[56, 60], Operations: ['89-37=52', '8+52=60']
Exploring Operation: 56+60=116, Resulting Numbers: [116]
116,63 unequal: No Solution
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 56*60=3360, Resulting Numbers: [3360]
3360,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[52, 7], Operations: ['89-37=52', '56/8=7']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,63 unequal: No Solution
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,63 unequal: No Solution
Exploring Operation: 52*7=364, Resulting Numbers: [364]
364,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[52, 64], Operations: ['89-37=52', '8+56=64']
Exploring Operation: 52+64=116, Resulting Numbers: [116]
116,63 unequal: No Solution
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 52*64=3328, Resulting Numbers: [3328]
3328,63 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
Current State: 63:[8, 89, 19], Operations: ['56-37=19']
Exploring Operation: 89-19=70, Resulting Numbers: [8, 70]
Generated Node #0,0,0: 63:[8, 70] Operation: 89-19=70
Exploring Operation: 19-8=11, Resulting Numbers: [89, 11]
Generated Node #0,0,1: 63:[89, 11] Operation: 19-8=11
Exploring Operation: 89-8=81, Resulting Numbers: [19, 81]
Generated Node #0,0,2: 63:[19, 81] Operation: 89-8=81
Exploring Operation: 8+19=27, Resulting Numbers: [89, 27]
Generated Node #0,0,3: 63:[89, 27] Operation: 8+19=27
Moving to Node #0,0,0
Current State: 63:[8, 70], Operations: ['56-37=19', '89-19=70']
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,63 unequal: No Solution
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 8*70=560, Resulting Numbers: [560]
560,63 unequal: No Solution
Moving to Node #0,0,2
Current State: 63:[19, 81], Operations: ['56-37=19', '89-8=81']
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 19*81=1539, Resulting Numbers: [1539]
1539,63 unequal: No Solution
Exploring Operation: 19+81=100, Resulting Numbers: [100]
100,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[89, 11], Operations: ['56-37=19', '19-8=11']
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,63 unequal: No Solution
Exploring Operation: 89+11=100, Resulting Numbers: [100]
100,63 unequal: No Solution
Exploring Operation: 89*11=979, Resulting Numbers: [979]
979,63 unequal: No Solution
Moving to Node #0,0,3
Current State: 63:[89, 27], Operations: ['56-37=19', '8+19=27']
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 89+27=116, Resulting Numbers: [116]
116,63 unequal: No Solution
Exploring Operation: 89*27=2403, Resulting Numbers: [2403]
2403,63 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 #0,3
Current State: 63:[8, 37, 33], Operations: ['89-56=33']
Exploring Operation: 37-33=4, Resulting Numbers: [8, 4]
Generated Node #0,3,0: 63:[8, 4] Operation: 37-33=4
Exploring Operation: 33-8=25, Resulting Numbers: [37, 25]
Generated Node #0,3,1: 63:[37, 25] Operation: 33-8=25
Exploring Operation: 37-8=29, Resulting Numbers: [33, 29]
Generated Node #0,3,2: 63:[33, 29] Operation: 37-8=29
Exploring Operation: 37+33=70, Resulting Numbers: [8, 70]
Generated Node #0,3,3: 63:[8, 70] Operation: 37+33=70
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 63:[8, 4], Operations: ['89-56=33', '37-33=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,63 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:[8, 70], Operations: ['89-56=33', '37+33=70']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 8*70=560, Resulting Numbers: [560]
560,63 unequal: No Solution
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,63 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:[37, 25], Operations: ['89-56=33', '33-8=25']
Exploring Operation: 37*25=925, Resulting Numbers: [925]
925,63 unequal: No Solution
Exploring Operation: 37+25=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,63 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 #0,3,2
Current State: 63:[33, 29], Operations: ['89-56=33', '37-8=29']
Exploring Operation: 33*29=957, Resulting Numbers: [957]
957,63 unequal: No Solution
Exploring Operation: 33+29=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,63 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:[89, 56, 29], Operations: ['37-8=29']
Exploring Operation: 56+29=85, Resulting Numbers: [89, 85]
Generated Node #0,1,0: 63:[89, 85] Operation: 56+29=85
Exploring Operation: 89-29=60, Resulting Numbers: [56, 60]
Generated Node #0,1,1: 63:[56, 60] Operation: 89-29=60
Exploring Operation: 89-56=33, Resulting Numbers: [29, 33]
Generated Node #0,1,2: 63:[29, 33] Operation: 89-56=33
Exploring Operation: 56-29=27, Resulting Numbers: [89, 27]
Generated Node #0,1,3: 63:[89, 27] Operation: 56-29=27
Moving to Node #0,1,1
Current State: 63:[56, 60], Operations: ['37-8=29', '89-29=60']
Exploring Operation: 56+60=116, Resulting Numbers: [116]
116,63 unequal: No Solution
Exploring Operation: 56*60=3360, Resulting Numbers: [3360]
3360,63 unequal: No Solution
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Moving to Node #0,1,2
Current State: 63:[29, 33], Operations: ['37-8=29', '89-56=33']
Exploring Operation: 29*33=957, Resulting Numbers: [957]
957,63 unequal: No Solution
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Moving to Node #0,1,3
Current State: 63:[89, 27], Operations: ['37-8=29', '56-29=27']
Exploring Operation: 89+27=116, Resulting Numbers: [116]
116,63 unequal: No Solution
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 89*27=2403, Resulting Numbers: [2403]
2403,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[89, 85], Operations: ['37-8=29', '56+29=85']
Exploring Operation: 89*85=7565, Resulting Numbers: [7565]
7565,63 unequal: No Solution
Exploring Operation: 89+85=174, Resulting Numbers: [174]
174,63 unequal: No Solution
Exploring Operation: 89-85=4, Resulting Numbers: [4]
4,63 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 |
[
42,
18,
50,
3
] | 71 | [
"42-18=24",
"50-3=47",
"24+47=71"
] | Current State: 71:[42, 18, 50, 3], Operations: []
Exploring Operation: 42-18=24, Resulting Numbers: [50, 3, 24]
Generated Node #2: [50, 3, 24] from Operation: 42-18=24
Current State: 71:[50, 3, 24], Operations: ['42-18=24']
Exploring Operation: 50-3=47, Resulting Numbers: [24, 47]
Generated Node #3: [24, 47] from Operation: 50-3=47
Current State: 71:[24, 47], Operations: ['42-18=24', '50-3=47']
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[42, 18, 50, 3], Operations: []
Exploring Operation: 42+3=45, Resulting Numbers: [18, 50, 45]
Generated Node #0,0: 71:[18, 50, 45] Operation: 42+3=45
Exploring Operation: 18*3=54, Resulting Numbers: [42, 50, 54]
Generated Node #0,1: 71:[42, 50, 54] Operation: 18*3=54
Exploring Operation: 42+18=60, Resulting Numbers: [50, 3, 60]
Generated Node #0,2: 71:[50, 3, 60] Operation: 42+18=60
Moving to Node #0,1
Current State: 71:[42, 50, 54], Operations: ['18*3=54']
Exploring Operation: 50+54=104, Resulting Numbers: [42, 104]
Generated Node #0,1,0: 71:[42, 104] Operation: 50+54=104
Exploring Operation: 42+54=96, Resulting Numbers: [50, 96]
Generated Node #0,1,1: 71:[50, 96] Operation: 42+54=96
Exploring Operation: 42+50=92, Resulting Numbers: [54, 92]
Generated Node #0,1,2: 71:[54, 92] Operation: 42+50=92
Moving to Node #0,0
Current State: 71:[18, 50, 45], Operations: ['42+3=45']
Exploring Operation: 18+50=68, Resulting Numbers: [45, 68]
Generated Node #0,0,0: 71:[45, 68] Operation: 18+50=68
Exploring Operation: 18+45=63, Resulting Numbers: [50, 63]
Generated Node #0,0,1: 71:[50, 63] Operation: 18+45=63
Exploring Operation: 50-18=32, Resulting Numbers: [45, 32]
Generated Node #0,0,2: 71:[45, 32] Operation: 50-18=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[45, 68], Operations: ['42+3=45', '18+50=68']
Exploring Operation: 45*68=3060, Resulting Numbers: [3060]
3060,71 unequal: No Solution
Exploring Operation: 45+68=113, Resulting Numbers: [113]
113,71 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,71 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: 71:[50, 63], Operations: ['42+3=45', '18+45=63']
Exploring Operation: 50*63=3150, Resulting Numbers: [3150]
3150,71 unequal: No Solution
Exploring Operation: 50+63=113, Resulting Numbers: [113]
113,71 unequal: No Solution
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,71 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: 71:[45, 32], Operations: ['42+3=45', '50-18=32']
Exploring Operation: 45-32=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 45+32=77, Resulting Numbers: [77]
77,71 unequal: No Solution
Exploring Operation: 45*32=1440, Resulting Numbers: [1440]
1440,71 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: 71:[50, 3, 60], Operations: ['42+18=60']
Exploring Operation: 3+60=63, Resulting Numbers: [50, 63]
Generated Node #0,2,0: 71:[50, 63] Operation: 3+60=63
Exploring Operation: 50+3=53, Resulting Numbers: [60, 53]
Generated Node #0,2,1: 71:[60, 53] Operation: 50+3=53
Exploring Operation: 50-3=47, Resulting Numbers: [60, 47]
Generated Node #0,2,2: 71:[60, 47] Operation: 50-3=47
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 71:[50, 63], Operations: ['42+18=60', '3+60=63']
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 50+63=113, Resulting Numbers: [113]
113,71 unequal: No Solution
Exploring Operation: 50*63=3150, Resulting Numbers: [3150]
3150,71 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: 71:[60, 53], Operations: ['42+18=60', '50+3=53']
Exploring Operation: 60-53=7, Resulting Numbers: [7]
7,71 unequal: No Solution
Exploring Operation: 60*53=3180, Resulting Numbers: [3180]
3180,71 unequal: No Solution
Exploring Operation: 60+53=113, Resulting Numbers: [113]
113,71 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: 71:[60, 47], Operations: ['42+18=60', '50-3=47']
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 60+47=107, Resulting Numbers: [107]
107,71 unequal: No Solution
Exploring Operation: 60*47=2820, Resulting Numbers: [2820]
2820,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 71:[54, 92], Operations: ['18*3=54', '42+50=92']
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,71 unequal: No Solution
Exploring Operation: 54*92=4968, Resulting Numbers: [4968]
4968,71 unequal: No Solution
Exploring Operation: 54+92=146, Resulting Numbers: [146]
146,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[50, 96], Operations: ['18*3=54', '42+54=96']
Exploring Operation: 50+96=146, Resulting Numbers: [146]
146,71 unequal: No Solution
Exploring Operation: 96-50=46, Resulting Numbers: [46]
46,71 unequal: No Solution
Exploring Operation: 50*96=4800, Resulting Numbers: [4800]
4800,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[42, 104], Operations: ['18*3=54', '50+54=104']
Exploring Operation: 104-42=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 42+104=146, Resulting Numbers: [146]
146,71 unequal: No Solution
Exploring Operation: 42*104=4368, Resulting Numbers: [4368]
4368,71 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
54,
92,
6,
87
] | 14 | [
"54/6=9",
"92-87=5",
"9+5=14"
] | Current State: 14:[54, 92, 6, 87], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [92, 87, 9]
Generated Node #2: [92, 87, 9] from Operation: 54/6=9
Current State: 14:[92, 87, 9], Operations: ['54/6=9']
Exploring Operation: 92-87=5, Resulting Numbers: [9, 5]
Generated Node #3: [9, 5] from Operation: 92-87=5
Current State: 14:[9, 5], Operations: ['54/6=9', '92-87=5']
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[54, 92, 6, 87], Operations: []
Exploring Operation: 92-54=38, Resulting Numbers: [6, 87, 38]
Generated Node #0,0: 14:[6, 87, 38] Operation: 92-54=38
Exploring Operation: 92-87=5, Resulting Numbers: [54, 6, 5]
Generated Node #0,1: 14:[54, 6, 5] Operation: 92-87=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[54, 6, 5], Operations: ['92-87=5']
Exploring Operation: 54-6=48, Resulting Numbers: [5, 48]
Generated Node #0,1,0: 14:[5, 48] Operation: 54-6=48
Exploring Operation: 54/6=9, Resulting Numbers: [5, 9]
Generated Node #0,1,1: 14:[5, 9] Operation: 54/6=9
Moving to Node #0,1,1
Current State: 14:[5, 9], Operations: ['92-87=5', '54/6=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[54, 92, 6, 87], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [54, 6, 5]
Generated Node #0,1: 14:[54, 6, 5] Operation: 92-87=5
Moving to Node #0,1
Current State: 14:[54, 6, 5], Operations: ['92-87=5']
Exploring Operation: 54/6=9, Resulting Numbers: [5, 9]
Generated Node #0,1,1: 14:[5, 9] Operation: 54/6=9
Moving to Node #0,1,1
Current State: 14:[5, 9], Operations: ['92-87=5', '54/6=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
74,
76,
71,
35
] | 38 | [
"76-74=2",
"71-35=36",
"2+36=38"
] | Current State: 38:[74, 76, 71, 35], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [71, 35, 2]
Generated Node #2: [71, 35, 2] from Operation: 76-74=2
Current State: 38:[71, 35, 2], Operations: ['76-74=2']
Exploring Operation: 71-35=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 71-35=36
Current State: 38:[2, 36], Operations: ['76-74=2', '71-35=36']
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[74, 76, 71, 35], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [71, 35, 2]
Generated Node #0,0: 38:[71, 35, 2] Operation: 76-74=2
Exploring Operation: 74-71=3, Resulting Numbers: [76, 35, 3]
Generated Node #0,1: 38:[76, 35, 3] Operation: 74-71=3
Moving to Node #0,0
Current State: 38:[71, 35, 2], Operations: ['76-74=2']
Exploring Operation: 71-35=36, Resulting Numbers: [2, 36]
Generated Node #0,0,0: 38:[2, 36] Operation: 71-35=36
Exploring Operation: 71-2=69, Resulting Numbers: [35, 69]
Generated Node #0,0,1: 38:[35, 69] Operation: 71-2=69
Moving to Node #0,1
Current State: 38:[76, 35, 3], Operations: ['74-71=3']
Exploring Operation: 76-3=73, Resulting Numbers: [35, 73]
Generated Node #0,1,0: 38:[35, 73] Operation: 76-3=73
Exploring Operation: 76-35=41, Resulting Numbers: [3, 41]
Generated Node #0,1,1: 38:[3, 41] Operation: 76-35=41
Moving to Node #0,0,0
Current State: 38:[2, 36], Operations: ['76-74=2', '71-35=36']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[74, 76, 71, 35], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [71, 35, 2]
Generated Node #0,0: 38:[71, 35, 2] Operation: 76-74=2
Moving to Node #0,0
Current State: 38:[71, 35, 2], Operations: ['76-74=2']
Exploring Operation: 71-35=36, Resulting Numbers: [2, 36]
Generated Node #0,0,0: 38:[2, 36] Operation: 71-35=36
Moving to Node #0,0,0
Current State: 38:[2, 36], Operations: ['76-74=2', '71-35=36']
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
15,
15,
20,
53
] | 33 | [
"15-15=0",
"53-20=33",
"0+33=33"
] | Current State: 33:[15, 15, 20, 53], Operations: []
Exploring Operation: 15-15=0, Resulting Numbers: [20, 53, 0]
Generated Node #2: [20, 53, 0] from Operation: 15-15=0
Current State: 33:[20, 53, 0], Operations: ['15-15=0']
Exploring Operation: 53-20=33, Resulting Numbers: [0, 33]
Generated Node #3: [0, 33] from Operation: 53-20=33
Current State: 33:[0, 33], Operations: ['15-15=0', '53-20=33']
Exploring Operation: 0+33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[15, 15, 20, 53], Operations: []
Exploring Operation: 53-15=38, Resulting Numbers: [15, 20, 38]
Generated Node #0,0: 33:[15, 20, 38] Operation: 53-15=38
Exploring Operation: 15+20=35, Resulting Numbers: [15, 53, 35]
Generated Node #0,1: 33:[15, 53, 35] Operation: 15+20=35
Exploring Operation: 20-15=5, Resulting Numbers: [15, 53, 5]
Generated Node #0,2: 33:[15, 53, 5] Operation: 20-15=5
Exploring Operation: 53-20=33, Resulting Numbers: [15, 15, 33]
Generated Node #0,3: 33:[15, 15, 33] Operation: 53-20=33
Exploring Operation: 53-15=38, Resulting Numbers: [15, 20, 38]
Generated Node #0,4: 33:[15, 20, 38] Operation: 53-15=38
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[15, 15, 33], Operations: ['53-20=33']
Exploring Operation: 15-15=0, Resulting Numbers: [33, 0]
Generated Node #0,3,0: 33:[33, 0] Operation: 15-15=0
Exploring Operation: 33-15=18, Resulting Numbers: [15, 18]
Generated Node #0,3,1: 33:[15, 18] Operation: 33-15=18
Exploring Operation: 15+15=30, Resulting Numbers: [33, 30]
Generated Node #0,3,2: 33:[33, 30] Operation: 15+15=30
Exploring Operation: 15/15=1, Resulting Numbers: [33, 1]
Generated Node #0,3,3: 33:[33, 1] Operation: 15/15=1
Exploring Operation: 33-15=18, Resulting Numbers: [15, 18]
Generated Node #0,3,4: 33:[15, 18] Operation: 33-15=18
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 33:[33, 1], Operations: ['53-20=33', '15/15=1']
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[15, 15, 20, 53], Operations: []
Exploring Operation: 53-20=33, Resulting Numbers: [15, 15, 33]
Generated Node #0,3: 33:[15, 15, 33] Operation: 53-20=33
Moving to Node #0,3
Current State: 33:[15, 15, 33], Operations: ['53-20=33']
Exploring Operation: 15/15=1, Resulting Numbers: [33, 1]
Generated Node #0,3,3: 33:[33, 1] Operation: 15/15=1
Moving to Node #0,3,3
Current State: 33:[33, 1], Operations: ['53-20=33', '15/15=1']
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
34,
50,
70,
52
] | 67 | [
"50+52=102",
"102/34=3",
"70-3=67"
] | Current State: 67:[34, 50, 70, 52], Operations: []
Exploring Operation: 50+52=102, Resulting Numbers: [34, 70, 102]
Generated Node #2: [34, 70, 102] from Operation: 50+52=102
Current State: 67:[34, 70, 102], Operations: ['50+52=102']
Exploring Operation: 102/34=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 102/34=3
Current State: 67:[70, 3], Operations: ['50+52=102', '102/34=3']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[34, 50, 70, 52], Operations: []
Exploring Operation: 34+52=86, Resulting Numbers: [50, 70, 86]
Generated Node #0,0: 67:[50, 70, 86] Operation: 34+52=86
Exploring Operation: 34+50=84, Resulting Numbers: [70, 52, 84]
Generated Node #0,1: 67:[70, 52, 84] Operation: 34+50=84
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[70, 52, 84], Operations: ['34+50=84']
Exploring Operation: 70-52=18, Resulting Numbers: [84, 18]
Generated Node #0,1,0: 67:[84, 18] Operation: 70-52=18
Exploring Operation: 84-52=32, Resulting Numbers: [70, 32]
Generated Node #0,1,1: 67:[70, 32] Operation: 84-52=32
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[70, 32], Operations: ['34+50=84', '84-52=32']
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 70+32=102, Resulting Numbers: [102]
102,67 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: 67:[84, 18], Operations: ['34+50=84', '70-52=18']
Exploring Operation: 84+18=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 84-18=66, Resulting Numbers: [66]
66,67 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: 67:[50, 70, 86], Operations: ['34+52=86']
Exploring Operation: 70-50=20, Resulting Numbers: [86, 20]
Generated Node #0,0,0: 67:[86, 20] Operation: 70-50=20
Exploring Operation: 86-50=36, Resulting Numbers: [70, 36]
Generated Node #0,0,1: 67:[70, 36] Operation: 86-50=36
Moving to Node #0,0,1
Current State: 67:[70, 36], Operations: ['34+52=86', '86-50=36']
Exploring Operation: 70+36=106, Resulting Numbers: [106]
106,67 unequal: No Solution
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[86, 20], Operations: ['34+52=86', '70-50=20']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,67 unequal: No Solution
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,67 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 |
[
38,
8,
49,
10
] | 89 | [
"38-8=30",
"49+10=59",
"30+59=89"
] | Current State: 89:[38, 8, 49, 10], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [49, 10, 30]
Generated Node #2: [49, 10, 30] from Operation: 38-8=30
Current State: 89:[49, 10, 30], Operations: ['38-8=30']
Exploring Operation: 49+10=59, Resulting Numbers: [30, 59]
Generated Node #3: [30, 59] from Operation: 49+10=59
Current State: 89:[30, 59], Operations: ['38-8=30', '49+10=59']
Exploring Operation: 30+59=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[38, 8, 49, 10], Operations: []
Exploring Operation: 8*10=80, Resulting Numbers: [38, 49, 80]
Generated Node #0,0: 89:[38, 49, 80] Operation: 8*10=80
Exploring Operation: 38+10=48, Resulting Numbers: [8, 49, 48]
Generated Node #0,1: 89:[8, 49, 48] Operation: 38+10=48
Exploring Operation: 38+49=87, Resulting Numbers: [8, 10, 87]
Generated Node #0,2: 89:[8, 10, 87] Operation: 38+49=87
Exploring Operation: 38+8=46, Resulting Numbers: [49, 10, 46]
Generated Node #0,3: 89:[49, 10, 46] Operation: 38+8=46
Moving to Node #0,0
Current State: 89:[38, 49, 80], Operations: ['8*10=80']
Exploring Operation: 49-38=11, Resulting Numbers: [80, 11]
Generated Node #0,0,0: 89:[80, 11] Operation: 49-38=11
Exploring Operation: 80-38=42, Resulting Numbers: [49, 42]
Generated Node #0,0,1: 89:[49, 42] Operation: 80-38=42
Exploring Operation: 38+49=87, Resulting Numbers: [80, 87]
Generated Node #0,0,2: 89:[80, 87] Operation: 38+49=87
Exploring Operation: 38+80=118, Resulting Numbers: [49, 118]
Generated Node #0,0,3: 89:[49, 118] Operation: 38+80=118
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 89:[80, 87], Operations: ['8*10=80', '38+49=87']
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 80*87=6960, Resulting Numbers: [6960]
6960,89 unequal: No Solution
Exploring Operation: 80+87=167, Resulting Numbers: [167]
167,89 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 #0,0,3
Current State: 89:[49, 118], Operations: ['8*10=80', '38+80=118']
Exploring Operation: 49+118=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Exploring Operation: 118-49=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 49*118=5782, Resulting Numbers: [5782]
5782,89 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 #0,0,0
Current State: 89:[80, 11], Operations: ['8*10=80', '49-38=11']
Exploring Operation: 80*11=880, Resulting Numbers: [880]
880,89 unequal: No Solution
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 80+11=91, Resulting Numbers: [91]
91,89 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:[49, 42], Operations: ['8*10=80', '80-38=42']
Exploring Operation: 49+42=91, Resulting Numbers: [91]
91,89 unequal: No Solution
Exploring Operation: 49*42=2058, Resulting Numbers: [2058]
2058,89 unequal: No Solution
Exploring Operation: 49-42=7, Resulting Numbers: [7]
7,89 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: 89:[8, 10, 87], Operations: ['38+49=87']
Exploring Operation: 8*10=80, Resulting Numbers: [87, 80]
Generated Node #0,2,0: 89:[87, 80] Operation: 8*10=80
Exploring Operation: 8+10=18, Resulting Numbers: [87, 18]
Generated Node #0,2,1: 89:[87, 18] Operation: 8+10=18
Exploring Operation: 10-8=2, Resulting Numbers: [87, 2]
Generated Node #0,2,2: 89:[87, 2] Operation: 10-8=2
Exploring Operation: 8+87=95, Resulting Numbers: [10, 95]
Generated Node #0,2,3: 89:[10, 95] Operation: 8+87=95
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 89:[87, 80], Operations: ['38+49=87', '8*10=80']
Exploring Operation: 87+80=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 87*80=6960, Resulting Numbers: [6960]
6960,89 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 #0,2,1
Current State: 89:[87, 18], Operations: ['38+49=87', '8+10=18']
Exploring Operation: 87-18=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 87*18=1566, Resulting Numbers: [1566]
1566,89 unequal: No Solution
Exploring Operation: 87+18=105, Resulting Numbers: [105]
105,89 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 #0,2,3
Current State: 89:[10, 95], Operations: ['38+49=87', '8+87=95']
Exploring Operation: 10*95=950, Resulting Numbers: [950]
950,89 unequal: No Solution
Exploring Operation: 10+95=105, Resulting Numbers: [105]
105,89 unequal: No Solution
Exploring Operation: 95-10=85, Resulting Numbers: [85]
85,89 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 #0,2,2
Current State: 89:[87, 2], Operations: ['38+49=87', '10-8=2']
Exploring Operation: 87*2=174, Resulting Numbers: [174]
174,89 unequal: No Solution
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[38, 8, 49, 10], Operations: []
Exploring Operation: 38+49=87, Resulting Numbers: [8, 10, 87]
Generated Node #0,2: 89:[8, 10, 87] Operation: 38+49=87
Moving to Node #0,2
Current State: 89:[8, 10, 87], Operations: ['38+49=87']
Exploring Operation: 10-8=2, Resulting Numbers: [87, 2]
Generated Node #0,2,2: 89:[87, 2] Operation: 10-8=2
Moving to Node #0,2,2
Current State: 89:[87, 2], Operations: ['38+49=87', '10-8=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_4 | mult_heuristic |
[
30,
40,
6,
97
] | 37 | [
"40-30=10",
"6*10=60",
"97-60=37"
] | Current State: 37:[30, 40, 6, 97], Operations: []
Exploring Operation: 40-30=10, Resulting Numbers: [6, 97, 10]
Generated Node #2: [6, 97, 10] from Operation: 40-30=10
Current State: 37:[6, 97, 10], Operations: ['40-30=10']
Exploring Operation: 6*10=60, Resulting Numbers: [97, 60]
Generated Node #3: [97, 60] from Operation: 6*10=60
Current State: 37:[97, 60], Operations: ['40-30=10', '6*10=60']
Exploring Operation: 97-60=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[30, 40, 6, 97], Operations: []
Exploring Operation: 97-40=57, Resulting Numbers: [30, 6, 57]
Generated Node #0,0: 37:[30, 6, 57] Operation: 97-40=57
Exploring Operation: 97-30=67, Resulting Numbers: [40, 6, 67]
Generated Node #0,1: 37:[40, 6, 67] Operation: 97-30=67
Exploring Operation: 30+6=36, Resulting Numbers: [40, 97, 36]
Generated Node #0,2: 37:[40, 97, 36] Operation: 30+6=36
Exploring Operation: 97-6=91, Resulting Numbers: [30, 40, 91]
Generated Node #0,3: 37:[30, 40, 91] Operation: 97-6=91
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[30, 6, 57], Operations: ['97-40=57']
Exploring Operation: 30+6=36, Resulting Numbers: [57, 36]
Generated Node #0,0,0: 37:[57, 36] Operation: 30+6=36
Exploring Operation: 6+57=63, Resulting Numbers: [30, 63]
Generated Node #0,0,1: 37:[30, 63] Operation: 6+57=63
Exploring Operation: 30-6=24, Resulting Numbers: [57, 24]
Generated Node #0,0,2: 37:[57, 24] Operation: 30-6=24
Exploring Operation: 57-6=51, Resulting Numbers: [30, 51]
Generated Node #0,0,3: 37:[30, 51] Operation: 57-6=51
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[57, 36], Operations: ['97-40=57', '30+6=36']
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 57+36=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Exploring Operation: 57*36=2052, Resulting Numbers: [2052]
2052,37 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 #0,0,3
Current State: 37:[30, 51], Operations: ['97-40=57', '57-6=51']
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 30+51=81, Resulting Numbers: [81]
81,37 unequal: No Solution
Exploring Operation: 30*51=1530, Resulting Numbers: [1530]
1530,37 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 #0,0,1
Current State: 37:[30, 63], Operations: ['97-40=57', '6+57=63']
Exploring Operation: 30+63=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Exploring Operation: 30*63=1890, Resulting Numbers: [1890]
1890,37 unequal: No Solution
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,37 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 #0,0,2
Current State: 37:[57, 24], Operations: ['97-40=57', '30-6=24']
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,37 unequal: No Solution
Exploring Operation: 57+24=81, Resulting Numbers: [81]
81,37 unequal: No Solution
Exploring Operation: 57*24=1368, Resulting Numbers: [1368]
1368,37 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 #0,1
Current State: 37:[40, 6, 67], Operations: ['97-30=67']
Exploring Operation: 40+6=46, Resulting Numbers: [67, 46]
Generated Node #0,1,0: 37:[67, 46] Operation: 40+6=46
Exploring Operation: 40-6=34, Resulting Numbers: [67, 34]
Generated Node #0,1,1: 37:[67, 34] Operation: 40-6=34
Exploring Operation: 67-6=61, Resulting Numbers: [40, 61]
Generated Node #0,1,2: 37:[40, 61] Operation: 67-6=61
Exploring Operation: 6+67=73, Resulting Numbers: [40, 73]
Generated Node #0,1,3: 37:[40, 73] Operation: 6+67=73
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 37:[40, 61], Operations: ['97-30=67', '67-6=61']
Exploring Operation: 40+61=101, Resulting Numbers: [101]
101,37 unequal: No Solution
Exploring Operation: 40*61=2440, Resulting Numbers: [2440]
2440,37 unequal: No Solution
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,37 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 #0,1,1
Current State: 37:[67, 34], Operations: ['97-30=67', '40-6=34']
Exploring Operation: 67+34=101, Resulting Numbers: [101]
101,37 unequal: No Solution
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,37 unequal: No Solution
Exploring Operation: 67*34=2278, Resulting Numbers: [2278]
2278,37 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:[67, 46], Operations: ['97-30=67', '40+6=46']
Exploring Operation: 67*46=3082, Resulting Numbers: [3082]
3082,37 unequal: No Solution
Exploring Operation: 67-46=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 67+46=113, Resulting Numbers: [113]
113,37 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 #0,1,3
Current State: 37:[40, 73], Operations: ['97-30=67', '6+67=73']
Exploring Operation: 40+73=113, Resulting Numbers: [113]
113,37 unequal: No Solution
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,37 unequal: No Solution
Exploring Operation: 40*73=2920, Resulting Numbers: [2920]
2920,37 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 #0,2
Current State: 37:[40, 97, 36], Operations: ['30+6=36']
Exploring Operation: 97-36=61, Resulting Numbers: [40, 61]
Generated Node #0,2,0: 37:[40, 61] Operation: 97-36=61
Exploring Operation: 40-36=4, Resulting Numbers: [97, 4]
Generated Node #0,2,1: 37:[97, 4] Operation: 40-36=4
Exploring Operation: 40+36=76, Resulting Numbers: [97, 76]
Generated Node #0,2,2: 37:[97, 76] Operation: 40+36=76
Exploring Operation: 97-40=57, Resulting Numbers: [36, 57]
Generated Node #0,2,3: 37:[36, 57] Operation: 97-40=57
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 37:[36, 57], Operations: ['30+6=36', '97-40=57']
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 36*57=2052, Resulting Numbers: [2052]
2052,37 unequal: No Solution
Exploring Operation: 36+57=93, Resulting Numbers: [93]
93,37 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 #0,2,0
Current State: 37:[40, 61], Operations: ['30+6=36', '97-36=61']
Exploring Operation: 40+61=101, Resulting Numbers: [101]
101,37 unequal: No Solution
Exploring Operation: 40*61=2440, Resulting Numbers: [2440]
2440,37 unequal: No Solution
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,37 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 #0,2,1
Current State: 37:[97, 4], Operations: ['30+6=36', '40-36=4']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Exploring Operation: 97*4=388, Resulting Numbers: [388]
388,37 unequal: No Solution
Exploring Operation: 97+4=101, Resulting Numbers: [101]
101,37 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 #0,2,2
Current State: 37:[97, 76], Operations: ['30+6=36', '40+36=76']
Exploring Operation: 97+76=173, Resulting Numbers: [173]
173,37 unequal: No Solution
Exploring Operation: 97*76=7372, Resulting Numbers: [7372]
7372,37 unequal: No Solution
Exploring Operation: 97-76=21, Resulting Numbers: [21]
21,37 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 #0,3
Current State: 37:[30, 40, 91], Operations: ['97-6=91']
Exploring Operation: 91-40=51, Resulting Numbers: [30, 51]
Generated Node #0,3,0: 37:[30, 51] Operation: 91-40=51
Exploring Operation: 91-30=61, Resulting Numbers: [40, 61]
Generated Node #0,3,1: 37:[40, 61] Operation: 91-30=61
Exploring Operation: 30+40=70, Resulting Numbers: [91, 70]
Generated Node #0,3,2: 37:[91, 70] Operation: 30+40=70
Exploring Operation: 40-30=10, Resulting Numbers: [91, 10]
Generated Node #0,3,3: 37:[91, 10] Operation: 40-30=10
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 37:[30, 51], Operations: ['97-6=91', '91-40=51']
Exploring Operation: 30*51=1530, Resulting Numbers: [1530]
1530,37 unequal: No Solution
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 30+51=81, Resulting Numbers: [81]
81,37 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:[40, 61], Operations: ['97-6=91', '91-30=61']
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 40*61=2440, Resulting Numbers: [2440]
2440,37 unequal: No Solution
Exploring Operation: 40+61=101, Resulting Numbers: [101]
101,37 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 #0,3,3
Current State: 37:[91, 10], Operations: ['97-6=91', '40-30=10']
Exploring Operation: 91*10=910, Resulting Numbers: [910]
910,37 unequal: No Solution
Exploring Operation: 91+10=101, Resulting Numbers: [101]
101,37 unequal: No Solution
Exploring Operation: 91-10=81, Resulting Numbers: [81]
81,37 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:[91, 70], Operations: ['97-6=91', '30+40=70']
Exploring Operation: 91+70=161, Resulting Numbers: [161]
161,37 unequal: No Solution
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 91*70=6370, Resulting Numbers: [6370]
6370,37 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
No solution found.
| 0 | hs_4 | mult_heuristic |
[
8,
62,
16,
46
] | 18 | [
"16/8=2",
"62-46=16",
"2+16=18"
] | Current State: 18:[8, 62, 16, 46], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [62, 46, 2]
Generated Node #2: [62, 46, 2] from Operation: 16/8=2
Current State: 18:[62, 46, 2], Operations: ['16/8=2']
Exploring Operation: 62-46=16, Resulting Numbers: [2, 16]
Generated Node #3: [2, 16] from Operation: 62-46=16
Current State: 18:[2, 16], Operations: ['16/8=2', '62-46=16']
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[8, 62, 16, 46], Operations: []
Exploring Operation: 62-16=46, Resulting Numbers: [8, 46, 46]
Generated Node #0,0: 18:[8, 46, 46] Operation: 62-16=46
Exploring Operation: 62-46=16, Resulting Numbers: [8, 16, 16]
Generated Node #0,1: 18:[8, 16, 16] Operation: 62-46=16
Exploring Operation: 46-16=30, Resulting Numbers: [8, 62, 30]
Generated Node #0,2: 18:[8, 62, 30] Operation: 46-16=30
Moving to Node #0,1
Current State: 18:[8, 16, 16], Operations: ['62-46=16']
Exploring Operation: 16/16=1, Resulting Numbers: [8, 1]
Generated Node #0,1,0: 18:[8, 1] Operation: 16/16=1
Exploring Operation: 16/8=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 18:[16, 2] Operation: 16/8=2
Exploring Operation: 16/8=2, Resulting Numbers: [16, 2]
Generated Node #0,1,2: 18:[16, 2] Operation: 16/8=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[8, 1], Operations: ['62-46=16', '16/16=1']
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,18 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 #0,1,1
Current State: 18:[16, 2], Operations: ['62-46=16', '16/8=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[8, 62, 16, 46], Operations: []
Exploring Operation: 62-46=16, Resulting Numbers: [8, 16, 16]
Generated Node #0,1: 18:[8, 16, 16] Operation: 62-46=16
Moving to Node #0,1
Current State: 18:[8, 16, 16], Operations: ['62-46=16']
Exploring Operation: 16/8=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 18:[16, 2] Operation: 16/8=2
Moving to Node #0,1,1
Current State: 18:[16, 2], Operations: ['62-46=16', '16/8=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
65,
13,
49,
29
] | 58 | [
"65+13=78",
"49-29=20",
"78-20=58"
] | Current State: 58:[65, 13, 49, 29], Operations: []
Exploring Operation: 65+13=78, Resulting Numbers: [49, 29, 78]
Generated Node #2: [49, 29, 78] from Operation: 65+13=78
Current State: 58:[49, 29, 78], Operations: ['65+13=78']
Exploring Operation: 49-29=20, Resulting Numbers: [78, 20]
Generated Node #3: [78, 20] from Operation: 49-29=20
Current State: 58:[78, 20], Operations: ['65+13=78', '49-29=20']
Exploring Operation: 78-20=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[65, 13, 49, 29], Operations: []
Exploring Operation: 13+49=62, Resulting Numbers: [65, 29, 62]
Generated Node #0,0: 58:[65, 29, 62] Operation: 13+49=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[65, 29, 62], Operations: ['13+49=62']
Exploring Operation: 65-62=3, Resulting Numbers: [29, 3]
Generated Node #0,0,0: 58:[29, 3] Operation: 65-62=3
Moving to Node #0,0,0
Current State: 58:[29, 3], Operations: ['13+49=62', '65-62=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,58 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 |
[
27,
81,
17,
48
] | 81 | [
"27*48=1296",
"81*17=1377",
"1377-1296=81"
] | Current State: 81:[27, 81, 17, 48], Operations: []
Exploring Operation: 27*48=1296, Resulting Numbers: [81, 17, 1296]
Generated Node #2: [81, 17, 1296] from Operation: 27*48=1296
Current State: 81:[81, 17, 1296], Operations: ['27*48=1296']
Exploring Operation: 81*17=1377, Resulting Numbers: [1296, 1377]
Generated Node #3: [1296, 1377] from Operation: 81*17=1377
Current State: 81:[1296, 1377], Operations: ['27*48=1296', '81*17=1377']
Exploring Operation: 1377-1296=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[27, 81, 17, 48], Operations: []
Exploring Operation: 48-17=31, Resulting Numbers: [27, 81, 31]
Generated Node #0,0: 81:[27, 81, 31] Operation: 48-17=31
Exploring Operation: 27+48=75, Resulting Numbers: [81, 17, 75]
Generated Node #0,1: 81:[81, 17, 75] Operation: 27+48=75
Exploring Operation: 48-27=21, Resulting Numbers: [81, 17, 21]
Generated Node #0,2: 81:[81, 17, 21] Operation: 48-27=21
Exploring Operation: 81-48=33, Resulting Numbers: [27, 17, 33]
Generated Node #0,3: 81:[27, 17, 33] Operation: 81-48=33
Exploring Operation: 17+48=65, Resulting Numbers: [27, 81, 65]
Generated Node #0,4: 81:[27, 81, 65] Operation: 17+48=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[27, 81, 31], Operations: ['48-17=31']
Exploring Operation: 81-31=50, Resulting Numbers: [27, 50]
Generated Node #0,0,0: 81:[27, 50] Operation: 81-31=50
Exploring Operation: 27+81=108, Resulting Numbers: [31, 108]
Generated Node #0,0,1: 81:[31, 108] Operation: 27+81=108
Exploring Operation: 81/27=3, Resulting Numbers: [31, 3]
Generated Node #0,0,2: 81:[31, 3] Operation: 81/27=3
Exploring Operation: 31-27=4, Resulting Numbers: [81, 4]
Generated Node #0,0,3: 81:[81, 4] Operation: 31-27=4
Exploring Operation: 27+31=58, Resulting Numbers: [81, 58]
Generated Node #0,0,4: 81:[81, 58] Operation: 27+31=58
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 81:[81, 4], Operations: ['48-17=31', '31-27=4']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,81 unequal: No Solution
Exploring Operation: 81+4=85, Resulting Numbers: [85]
85,81 unequal: No Solution
Exploring Operation: 81*4=324, Resulting Numbers: [324]
324,81 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: 81:[31, 3], Operations: ['48-17=31', '81/27=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,81 unequal: No Solution
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,81 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: 81:[27, 50], Operations: ['48-17=31', '81-31=50']
Exploring Operation: 27+50=77, Resulting Numbers: [77]
77,81 unequal: No Solution
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,81 unequal: No Solution
Exploring Operation: 27*50=1350, Resulting Numbers: [1350]
1350,81 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: 81:[81, 58], Operations: ['48-17=31', '27+31=58']
Exploring Operation: 81*58=4698, Resulting Numbers: [4698]
4698,81 unequal: No Solution
Exploring Operation: 81+58=139, Resulting Numbers: [139]
139,81 unequal: No Solution
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,81 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: 81:[31, 108], Operations: ['48-17=31', '27+81=108']
Exploring Operation: 31+108=139, Resulting Numbers: [139]
139,81 unequal: No Solution
Exploring Operation: 31*108=3348, Resulting Numbers: [3348]
3348,81 unequal: No Solution
Exploring Operation: 108-31=77, Resulting Numbers: [77]
77,81 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: 81:[81, 17, 75], Operations: ['27+48=75']
Exploring Operation: 75-17=58, Resulting Numbers: [81, 58]
Generated Node #0,1,0: 81:[81, 58] Operation: 75-17=58
Exploring Operation: 17+75=92, Resulting Numbers: [81, 92]
Generated Node #0,1,1: 81:[81, 92] Operation: 17+75=92
Exploring Operation: 81-17=64, Resulting Numbers: [75, 64]
Generated Node #0,1,2: 81:[75, 64] Operation: 81-17=64
Exploring Operation: 81+17=98, Resulting Numbers: [75, 98]
Generated Node #0,1,3: 81:[75, 98] Operation: 81+17=98
Exploring Operation: 81-75=6, Resulting Numbers: [17, 6]
Generated Node #0,1,4: 81:[17, 6] Operation: 81-75=6
Moving to Node #0,1,1
Current State: 81:[81, 92], Operations: ['27+48=75', '17+75=92']
Exploring Operation: 92-81=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 81+92=173, Resulting Numbers: [173]
173,81 unequal: No Solution
Exploring Operation: 81*92=7452, Resulting Numbers: [7452]
7452,81 unequal: No Solution
Moving to Node #0,1,4
Current State: 81:[17, 6], Operations: ['27+48=75', '81-75=6']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,81 unequal: No Solution
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[81, 58], Operations: ['27+48=75', '75-17=58']
Exploring Operation: 81+58=139, Resulting Numbers: [139]
139,81 unequal: No Solution
Exploring Operation: 81*58=4698, Resulting Numbers: [4698]
4698,81 unequal: No Solution
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,81 unequal: No Solution
Moving to Node #0,1,2
Current State: 81:[75, 64], Operations: ['27+48=75', '81-17=64']
Exploring Operation: 75+64=139, Resulting Numbers: [139]
139,81 unequal: No Solution
Exploring Operation: 75*64=4800, Resulting Numbers: [4800]
4800,81 unequal: No Solution
Exploring Operation: 75-64=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Moving to Node #0,1,3
Current State: 81:[75, 98], Operations: ['27+48=75', '81+17=98']
Exploring Operation: 75+98=173, Resulting Numbers: [173]
173,81 unequal: No Solution
Exploring Operation: 75*98=7350, Resulting Numbers: [7350]
7350,81 unequal: No Solution
Exploring Operation: 98-75=23, Resulting Numbers: [23]
23,81 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: 81:[81, 17, 21], Operations: ['48-27=21']
Exploring Operation: 81+21=102, Resulting Numbers: [17, 102]
Generated Node #0,2,0: 81:[17, 102] Operation: 81+21=102
Exploring Operation: 17+21=38, Resulting Numbers: [81, 38]
Generated Node #0,2,1: 81:[81, 38] Operation: 17+21=38
Exploring Operation: 21-17=4, Resulting Numbers: [81, 4]
Generated Node #0,2,2: 81:[81, 4] Operation: 21-17=4
Exploring Operation: 81+17=98, Resulting Numbers: [21, 98]
Generated Node #0,2,3: 81:[21, 98] Operation: 81+17=98
Exploring Operation: 81-17=64, Resulting Numbers: [21, 64]
Generated Node #0,2,4: 81:[21, 64] Operation: 81-17=64
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 81:[81, 4], Operations: ['48-27=21', '21-17=4']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,81 unequal: No Solution
Exploring Operation: 81+4=85, Resulting Numbers: [85]
85,81 unequal: No Solution
Exploring Operation: 81*4=324, Resulting Numbers: [324]
324,81 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: 81:[81, 38], Operations: ['48-27=21', '17+21=38']
Exploring Operation: 81-38=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Exploring Operation: 81+38=119, Resulting Numbers: [119]
119,81 unequal: No Solution
Exploring Operation: 81*38=3078, Resulting Numbers: [3078]
3078,81 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: 81:[21, 98], Operations: ['48-27=21', '81+17=98']
Exploring Operation: 21+98=119, Resulting Numbers: [119]
119,81 unequal: No Solution
Exploring Operation: 21*98=2058, Resulting Numbers: [2058]
2058,81 unequal: No Solution
Exploring Operation: 98-21=77, Resulting Numbers: [77]
77,81 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: 81:[21, 64], Operations: ['48-27=21', '81-17=64']
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Exploring Operation: 21*64=1344, Resulting Numbers: [1344]
1344,81 unequal: No Solution
Exploring Operation: 21+64=85, Resulting Numbers: [85]
85,81 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: 81:[17, 102], Operations: ['48-27=21', '81+21=102']
Exploring Operation: 102-17=85, Resulting Numbers: [85]
85,81 unequal: No Solution
Exploring Operation: 17*102=1734, Resulting Numbers: [1734]
1734,81 unequal: No Solution
Exploring Operation: 17+102=119, Resulting Numbers: [119]
119,81 unequal: No Solution
Exploring Operation: 102/17=6, Resulting Numbers: [6]
6,81 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: 81:[27, 17, 33], Operations: ['81-48=33']
Exploring Operation: 27+17=44, Resulting Numbers: [33, 44]
Generated Node #0,3,0: 81:[33, 44] Operation: 27+17=44
Exploring Operation: 33-27=6, Resulting Numbers: [17, 6]
Generated Node #0,3,1: 81:[17, 6] Operation: 33-27=6
Exploring Operation: 33-17=16, Resulting Numbers: [27, 16]
Generated Node #0,3,2: 81:[27, 16] Operation: 33-17=16
Exploring Operation: 27-17=10, Resulting Numbers: [33, 10]
Generated Node #0,3,3: 81:[33, 10] Operation: 27-17=10
Exploring Operation: 17+33=50, Resulting Numbers: [27, 50]
Generated Node #0,3,4: 81:[27, 50] Operation: 17+33=50
Moving to Node #0,3,2
Current State: 81:[27, 16], Operations: ['81-48=33', '33-17=16']
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,81 unequal: No Solution
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Moving to Node #0,3,3
Current State: 81:[33, 10], Operations: ['81-48=33', '27-17=10']
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,81 unequal: No Solution
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,81 unequal: No Solution
Moving to Node #0,3,1
Current State: 81:[17, 6], Operations: ['81-48=33', '33-27=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,81 unequal: No Solution
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,81 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Moving to Node #0,3,0
Current State: 81:[33, 44], Operations: ['81-48=33', '27+17=44']
Exploring Operation: 33*44=1452, Resulting Numbers: [1452]
1452,81 unequal: No Solution
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 33+44=77, Resulting Numbers: [77]
77,81 unequal: No Solution
Moving to Node #0,3,4
Current State: 81:[27, 50], Operations: ['81-48=33', '17+33=50']
Exploring Operation: 27*50=1350, Resulting Numbers: [1350]
1350,81 unequal: No Solution
Exploring Operation: 27+50=77, Resulting Numbers: [77]
77,81 unequal: No Solution
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,81 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: 81:[27, 81, 65], Operations: ['17+48=65']
Exploring Operation: 65-27=38, Resulting Numbers: [81, 38]
Generated Node #0,4,0: 81:[81, 38] Operation: 65-27=38
Exploring Operation: 27+65=92, Resulting Numbers: [81, 92]
Generated Node #0,4,1: 81:[81, 92] Operation: 27+65=92
Exploring Operation: 27+81=108, Resulting Numbers: [65, 108]
Generated Node #0,4,2: 81:[65, 108] Operation: 27+81=108
Exploring Operation: 81-65=16, Resulting Numbers: [27, 16]
Generated Node #0,4,3: 81:[27, 16] Operation: 81-65=16
Exploring Operation: 81/27=3, Resulting Numbers: [65, 3]
Generated Node #0,4,4: 81:[65, 3] Operation: 81/27=3
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 81:[27, 16], Operations: ['17+48=65', '81-65=16']
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,81 unequal: No Solution
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,81 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 #0,4,0
Current State: 81:[81, 38], Operations: ['17+48=65', '65-27=38']
Exploring Operation: 81-38=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Exploring Operation: 81+38=119, Resulting Numbers: [119]
119,81 unequal: No Solution
Exploring Operation: 81*38=3078, Resulting Numbers: [3078]
3078,81 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 #0,4,1
Current State: 81:[81, 92], Operations: ['17+48=65', '27+65=92']
Exploring Operation: 92-81=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 81*92=7452, Resulting Numbers: [7452]
7452,81 unequal: No Solution
Exploring Operation: 81+92=173, Resulting Numbers: [173]
173,81 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 #0,4,4
Current State: 81:[65, 3], Operations: ['17+48=65', '81/27=3']
Exploring Operation: 65*3=195, Resulting Numbers: [195]
195,81 unequal: No Solution
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,81 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,81 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 #0,4,2
Current State: 81:[65, 108], Operations: ['17+48=65', '27+81=108']
Exploring Operation: 65+108=173, Resulting Numbers: [173]
173,81 unequal: No Solution
Exploring Operation: 108-65=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Exploring Operation: 65*108=7020, Resulting Numbers: [7020]
7020,81 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 | mult_heuristic |
[
40,
15,
26,
93
] | 92 | [
"40-15=25",
"93-26=67",
"25+67=92"
] | Current State: 92:[40, 15, 26, 93], Operations: []
Exploring Operation: 40-15=25, Resulting Numbers: [26, 93, 25]
Generated Node #2: [26, 93, 25] from Operation: 40-15=25
Current State: 92:[26, 93, 25], Operations: ['40-15=25']
Exploring Operation: 93-26=67, Resulting Numbers: [25, 67]
Generated Node #3: [25, 67] from Operation: 93-26=67
Current State: 92:[25, 67], Operations: ['40-15=25', '93-26=67']
Exploring Operation: 25+67=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[40, 15, 26, 93], Operations: []
Exploring Operation: 40-15=25, Resulting Numbers: [26, 93, 25]
Generated Node #0,0: 92:[26, 93, 25] Operation: 40-15=25
Moving to Node #0,0
Current State: 92:[26, 93, 25], Operations: ['40-15=25']
Exploring Operation: 26-25=1, Resulting Numbers: [93, 1]
Generated Node #0,0,0: 92:[93, 1] Operation: 26-25=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 92:[93, 1], Operations: ['40-15=25', '26-25=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[40, 15, 26, 93], Operations: []
Exploring Operation: 40-15=25, Resulting Numbers: [26, 93, 25]
Generated Node #0,0: 92:[26, 93, 25] Operation: 40-15=25
Moving to Node #0,0
Current State: 92:[26, 93, 25], Operations: ['40-15=25']
Exploring Operation: 26-25=1, Resulting Numbers: [93, 1]
Generated Node #0,0,0: 92:[93, 1] Operation: 26-25=1
Moving to Node #0,0,0
Current State: 92:[93, 1], Operations: ['40-15=25', '26-25=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
24,
81,
74,
84
] | 84 | [
"81-74=7",
"24*7=168",
"168-84=84"
] | Current State: 84:[24, 81, 74, 84], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [24, 84, 7]
Generated Node #2: [24, 84, 7] from Operation: 81-74=7
Current State: 84:[24, 84, 7], Operations: ['81-74=7']
Exploring Operation: 24*7=168, Resulting Numbers: [84, 168]
Generated Node #3: [84, 168] from Operation: 24*7=168
Current State: 84:[84, 168], Operations: ['81-74=7', '24*7=168']
Exploring Operation: 168-84=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[24, 81, 74, 84], Operations: []
Exploring Operation: 74-24=50, Resulting Numbers: [81, 84, 50]
Generated Node #0,0: 84:[81, 84, 50] Operation: 74-24=50
Exploring Operation: 81-74=7, Resulting Numbers: [24, 84, 7]
Generated Node #0,1: 84:[24, 84, 7] Operation: 81-74=7
Exploring Operation: 84-81=3, Resulting Numbers: [24, 74, 3]
Generated Node #0,2: 84:[24, 74, 3] Operation: 84-81=3
Exploring Operation: 84-74=10, Resulting Numbers: [24, 81, 10]
Generated Node #0,3: 84:[24, 81, 10] Operation: 84-74=10
Moving to Node #0,1
Current State: 84:[24, 84, 7], Operations: ['81-74=7']
Exploring Operation: 24-7=17, Resulting Numbers: [84, 17]
Generated Node #0,1,0: 84:[84, 17] Operation: 24-7=17
Exploring Operation: 84+7=91, Resulting Numbers: [24, 91]
Generated Node #0,1,1: 84:[24, 91] Operation: 84+7=91
Exploring Operation: 84/7=12, Resulting Numbers: [24, 12]
Generated Node #0,1,2: 84:[24, 12] Operation: 84/7=12
Exploring Operation: 24+7=31, Resulting Numbers: [84, 31]
Generated Node #0,1,3: 84:[84, 31] Operation: 24+7=31
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 84:[84, 17], Operations: ['81-74=7', '24-7=17']
Exploring Operation: 84-17=67, Resulting Numbers: [67]
67,84 unequal: No Solution
Exploring Operation: 84+17=101, Resulting Numbers: [101]
101,84 unequal: No Solution
Exploring Operation: 84*17=1428, Resulting Numbers: [1428]
1428,84 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 #0,1,2
Current State: 84:[24, 12], Operations: ['81-74=7', '84/7=12']
Exploring Operation: 24+12=36, Resulting Numbers: [36]
36,84 unequal: No Solution
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 24*12=288, Resulting Numbers: [288]
288,84 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 #0,1,3
Current State: 84:[84, 31], Operations: ['81-74=7', '24+7=31']
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,84 unequal: No Solution
Exploring Operation: 84*31=2604, Resulting Numbers: [2604]
2604,84 unequal: No Solution
Exploring Operation: 84+31=115, Resulting Numbers: [115]
115,84 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 #0,1,1
Current State: 84:[24, 91], Operations: ['81-74=7', '84+7=91']
Exploring Operation: 24*91=2184, Resulting Numbers: [2184]
2184,84 unequal: No Solution
Exploring Operation: 91-24=67, Resulting Numbers: [67]
67,84 unequal: No Solution
Exploring Operation: 24+91=115, Resulting Numbers: [115]
115,84 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: 84:[24, 81, 10], Operations: ['84-74=10']
Exploring Operation: 24-10=14, Resulting Numbers: [81, 14]
Generated Node #0,3,0: 84:[81, 14] Operation: 24-10=14
Exploring Operation: 24+10=34, Resulting Numbers: [81, 34]
Generated Node #0,3,1: 84:[81, 34] Operation: 24+10=34
Exploring Operation: 81-10=71, Resulting Numbers: [24, 71]
Generated Node #0,3,2: 84:[24, 71] Operation: 81-10=71
Exploring Operation: 81+10=91, Resulting Numbers: [24, 91]
Generated Node #0,3,3: 84:[24, 91] Operation: 81+10=91
Moving to Node #0,0
Current State: 84:[81, 84, 50], Operations: ['74-24=50']
Exploring Operation: 81-50=31, Resulting Numbers: [84, 31]
Generated Node #0,0,0: 84:[84, 31] Operation: 81-50=31
Exploring Operation: 84-81=3, Resulting Numbers: [50, 3]
Generated Node #0,0,1: 84:[50, 3] Operation: 84-81=3
Exploring Operation: 81+50=131, Resulting Numbers: [84, 131]
Generated Node #0,0,2: 84:[84, 131] Operation: 81+50=131
Exploring Operation: 84-50=34, Resulting Numbers: [81, 34]
Generated Node #0,0,3: 84:[81, 34] Operation: 84-50=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[84, 31], Operations: ['74-24=50', '81-50=31']
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,84 unequal: No Solution
Exploring Operation: 84*31=2604, Resulting Numbers: [2604]
2604,84 unequal: No Solution
Exploring Operation: 84+31=115, Resulting Numbers: [115]
115,84 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:[50, 3], Operations: ['74-24=50', '84-81=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,84 unequal: No Solution
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,84 unequal: No Solution
Exploring Operation: 50*3=150, Resulting Numbers: [150]
150,84 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 #0,0,3
Current State: 84:[81, 34], Operations: ['74-24=50', '84-50=34']
Exploring Operation: 81*34=2754, Resulting Numbers: [2754]
2754,84 unequal: No Solution
Exploring Operation: 81+34=115, Resulting Numbers: [115]
115,84 unequal: No Solution
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,84 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 #0,0,2
Current State: 84:[84, 131], Operations: ['74-24=50', '81+50=131']
Exploring Operation: 84+131=215, Resulting Numbers: [215]
215,84 unequal: No Solution
Exploring Operation: 84*131=11004, Resulting Numbers: [11004]
11004,84 unequal: No Solution
Exploring Operation: 131-84=47, Resulting Numbers: [47]
47,84 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: 84:[24, 74, 3], Operations: ['84-81=3']
Exploring Operation: 24+3=27, Resulting Numbers: [74, 27]
Generated Node #0,2,0: 84:[74, 27] Operation: 24+3=27
Exploring Operation: 24-3=21, Resulting Numbers: [74, 21]
Generated Node #0,2,1: 84:[74, 21] Operation: 24-3=21
Exploring Operation: 74-24=50, Resulting Numbers: [3, 50]
Generated Node #0,2,2: 84:[3, 50] Operation: 74-24=50
Exploring Operation: 74+3=77, Resulting Numbers: [24, 77]
Generated Node #0,2,3: 84:[24, 77] Operation: 74+3=77
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 84:[3, 50], Operations: ['84-81=3', '74-24=50']
Exploring Operation: 3*50=150, Resulting Numbers: [150]
150,84 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,84 unequal: No Solution
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,84 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 #0,2,1
Current State: 84:[74, 21], Operations: ['84-81=3', '24-3=21']
Exploring Operation: 74*21=1554, Resulting Numbers: [1554]
1554,84 unequal: No Solution
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,84 unequal: No Solution
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,84 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 #0,2,3
Current State: 84:[24, 77], Operations: ['84-81=3', '74+3=77']
Exploring Operation: 24*77=1848, Resulting Numbers: [1848]
1848,84 unequal: No Solution
Exploring Operation: 24+77=101, Resulting Numbers: [101]
101,84 unequal: No Solution
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,84 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 #0,2,0
Current State: 84:[74, 27], Operations: ['84-81=3', '24+3=27']
Exploring Operation: 74*27=1998, Resulting Numbers: [1998]
1998,84 unequal: No Solution
Exploring Operation: 74+27=101, Resulting Numbers: [101]
101,84 unequal: No Solution
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 84:[81, 14], Operations: ['84-74=10', '24-10=14']
Exploring Operation: 81+14=95, Resulting Numbers: [95]
95,84 unequal: No Solution
Exploring Operation: 81*14=1134, Resulting Numbers: [1134]
1134,84 unequal: No Solution
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,84 unequal: No Solution
Moving to Node #0,3,1
Current State: 84:[81, 34], Operations: ['84-74=10', '24+10=34']
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,84 unequal: No Solution
Exploring Operation: 81+34=115, Resulting Numbers: [115]
115,84 unequal: No Solution
Exploring Operation: 81*34=2754, Resulting Numbers: [2754]
2754,84 unequal: No Solution
Moving to Node #0,3,3
Current State: 84:[24, 91], Operations: ['84-74=10', '81+10=91']
Exploring Operation: 24+91=115, Resulting Numbers: [115]
115,84 unequal: No Solution
Exploring Operation: 91-24=67, Resulting Numbers: [67]
67,84 unequal: No Solution
Exploring Operation: 24*91=2184, Resulting Numbers: [2184]
2184,84 unequal: No Solution
Moving to Node #0,3,2
Current State: 84:[24, 71], Operations: ['84-74=10', '81-10=71']
Exploring Operation: 24*71=1704, Resulting Numbers: [1704]
1704,84 unequal: No Solution
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,84 unequal: No Solution
Exploring Operation: 24+71=95, Resulting Numbers: [95]
95,84 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
30,
46,
60,
34
] | 29 | [
"60/30=2",
"34/2=17",
"46-17=29"
] | Current State: 29:[30, 46, 60, 34], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [46, 34, 2]
Generated Node #2: [46, 34, 2] from Operation: 60/30=2
Current State: 29:[46, 34, 2], Operations: ['60/30=2']
Exploring Operation: 34/2=17, Resulting Numbers: [46, 17]
Generated Node #3: [46, 17] from Operation: 34/2=17
Current State: 29:[46, 17], Operations: ['60/30=2', '34/2=17']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[30, 46, 60, 34], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [30, 34, 14]
Generated Node #0,0: 29:[30, 34, 14] Operation: 60-46=14
Moving to Node #0,0
Current State: 29:[30, 34, 14], Operations: ['60-46=14']
Exploring Operation: 34-14=20, Resulting Numbers: [30, 20]
Generated Node #0,0,0: 29:[30, 20] Operation: 34-14=20
Moving to Node #0,0,0
Current State: 29:[30, 20], Operations: ['60-46=14', '34-14=20']
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,29 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
35,
36,
33,
15
] | 70 | [
"35*36=1260",
"33-15=18",
"1260/18=70"
] | Current State: 70:[35, 36, 33, 15], Operations: []
Exploring Operation: 35*36=1260, Resulting Numbers: [33, 15, 1260]
Generated Node #2: [33, 15, 1260] from Operation: 35*36=1260
Current State: 70:[33, 15, 1260], Operations: ['35*36=1260']
Exploring Operation: 33-15=18, Resulting Numbers: [1260, 18]
Generated Node #3: [1260, 18] from Operation: 33-15=18
Current State: 70:[1260, 18], Operations: ['35*36=1260', '33-15=18']
Exploring Operation: 1260/18=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[35, 36, 33, 15], Operations: []
Exploring Operation: 36+33=69, Resulting Numbers: [35, 15, 69]
Generated Node #0,0: 70:[35, 15, 69] Operation: 36+33=69
Exploring Operation: 35-33=2, Resulting Numbers: [36, 15, 2]
Generated Node #0,1: 70:[36, 15, 2] Operation: 35-33=2
Exploring Operation: 36-33=3, Resulting Numbers: [35, 15, 3]
Generated Node #0,2: 70:[35, 15, 3] Operation: 36-33=3
Moving to Node #0,0
Current State: 70:[35, 15, 69], Operations: ['36+33=69']
Exploring Operation: 69-35=34, Resulting Numbers: [15, 34]
Generated Node #0,0,0: 70:[15, 34] Operation: 69-35=34
Exploring Operation: 15+69=84, Resulting Numbers: [35, 84]
Generated Node #0,0,1: 70:[35, 84] Operation: 15+69=84
Exploring Operation: 35-15=20, Resulting Numbers: [69, 20]
Generated Node #0,0,2: 70:[69, 20] Operation: 35-15=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[15, 34], Operations: ['36+33=69', '69-35=34']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 15*34=510, Resulting Numbers: [510]
510,70 unequal: No Solution
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,70 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: 70:[69, 20], Operations: ['36+33=69', '35-15=20']
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,70 unequal: No Solution
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,70 unequal: No Solution
Exploring Operation: 69*20=1380, Resulting Numbers: [1380]
1380,70 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: 70:[35, 84], Operations: ['36+33=69', '15+69=84']
Exploring Operation: 35*84=2940, Resulting Numbers: [2940]
2940,70 unequal: No Solution
Exploring Operation: 84-35=49, Resulting Numbers: [49]
49,70 unequal: No Solution
Exploring Operation: 35+84=119, Resulting Numbers: [119]
119,70 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: 70:[36, 15, 2], Operations: ['35-33=2']
Exploring Operation: 15-2=13, Resulting Numbers: [36, 13]
Generated Node #0,1,0: 70:[36, 13] Operation: 15-2=13
Exploring Operation: 36-2=34, Resulting Numbers: [15, 34]
Generated Node #0,1,1: 70:[15, 34] Operation: 36-2=34
Exploring Operation: 36*2=72, Resulting Numbers: [15, 72]
Generated Node #0,1,2: 70:[15, 72] Operation: 36*2=72
Moving to Node #0,2
Current State: 70:[35, 15, 3], Operations: ['36-33=3']
Exploring Operation: 15/3=5, Resulting Numbers: [35, 5]
Generated Node #0,2,0: 70:[35, 5] Operation: 15/3=5
Exploring Operation: 35+3=38, Resulting Numbers: [15, 38]
Generated Node #0,2,1: 70:[15, 38] Operation: 35+3=38
Exploring Operation: 15-3=12, Resulting Numbers: [35, 12]
Generated Node #0,2,2: 70:[35, 12] Operation: 15-3=12
Moving to Node #0,2,0
Current State: 70:[35, 5], Operations: ['36-33=3', '15/3=5']
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,70 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[36, 13], Operations: ['35-33=2', '15-2=13']
Exploring Operation: 36+13=49, Resulting Numbers: [49]
49,70 unequal: No Solution
Exploring Operation: 36*13=468, Resulting Numbers: [468]
468,70 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[35, 12], Operations: ['36-33=3', '15-3=12']
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,70 unequal: No Solution
Exploring Operation: 35*12=420, Resulting Numbers: [420]
420,70 unequal: No Solution
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[15, 34], Operations: ['35-33=2', '36-2=34']
Exploring Operation: 15*34=510, Resulting Numbers: [510]
510,70 unequal: No Solution
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,70 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[15, 72], Operations: ['35-33=2', '36*2=72']
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,70 unequal: No Solution
Exploring Operation: 15*72=1080, Resulting Numbers: [1080]
1080,70 unequal: No Solution
Exploring Operation: 15+72=87, Resulting Numbers: [87]
87,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[15, 38], Operations: ['36-33=3', '35+3=38']
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,70 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,70 unequal: No Solution
Exploring Operation: 15*38=570, Resulting Numbers: [570]
570,70 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
8,
71,
4,
1
] | 69 | [
"8/4=2",
"71*1=71",
"71-2=69"
] | Current State: 69:[8, 71, 4, 1], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [71, 1, 2]
Generated Node #2: [71, 1, 2] from Operation: 8/4=2
Current State: 69:[71, 1, 2], Operations: ['8/4=2']
Exploring Operation: 71*1=71, Resulting Numbers: [2, 71]
Generated Node #3: [2, 71] from Operation: 71*1=71
Current State: 69:[2, 71], Operations: ['8/4=2', '71*1=71']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[8, 71, 4, 1], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [71, 1, 2]
Generated Node #0,0: 69:[71, 1, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [71, 1, 4]
Generated Node #0,1: 69:[71, 1, 4] Operation: 8-4=4
Exploring Operation: 8-1=7, Resulting Numbers: [71, 4, 7]
Generated Node #0,2: 69:[71, 4, 7] Operation: 8-1=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[71, 1, 2], Operations: ['8/4=2']
Exploring Operation: 71-2=69, Resulting Numbers: [1, 69]
Generated Node #0,0,0: 69:[1, 69] Operation: 71-2=69
Exploring Operation: 1+2=3, Resulting Numbers: [71, 3]
Generated Node #0,0,1: 69:[71, 3] Operation: 1+2=3
Exploring Operation: 71-1=70, Resulting Numbers: [2, 70]
Generated Node #0,0,2: 69:[2, 70] Operation: 71-1=70
Moving to Node #0,0,0
Current State: 69:[1, 69], Operations: ['8/4=2', '71-2=69']
Exploring Operation: 1*69=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[8, 71, 4, 1], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [71, 1, 2]
Generated Node #0,0: 69:[71, 1, 2] Operation: 8/4=2
Moving to Node #0,0
Current State: 69:[71, 1, 2], Operations: ['8/4=2']
Exploring Operation: 71-2=69, Resulting Numbers: [1, 69]
Generated Node #0,0,0: 69:[1, 69] Operation: 71-2=69
Moving to Node #0,0,0
Current State: 69:[1, 69], Operations: ['8/4=2', '71-2=69']
Exploring Operation: 1*69=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
18,
26,
65,
8
] | 52 | [
"18*26=468",
"65*8=520",
"520-468=52"
] | Current State: 52:[18, 26, 65, 8], Operations: []
Exploring Operation: 18*26=468, Resulting Numbers: [65, 8, 468]
Generated Node #2: [65, 8, 468] from Operation: 18*26=468
Current State: 52:[65, 8, 468], Operations: ['18*26=468']
Exploring Operation: 65*8=520, Resulting Numbers: [468, 520]
Generated Node #3: [468, 520] from Operation: 65*8=520
Current State: 52:[468, 520], Operations: ['18*26=468', '65*8=520']
Exploring Operation: 520-468=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[18, 26, 65, 8], Operations: []
Exploring Operation: 65-18=47, Resulting Numbers: [26, 8, 47]
Generated Node #0,0: 52:[26, 8, 47] Operation: 65-18=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[26, 8, 47], Operations: ['65-18=47']
Exploring Operation: 8+47=55, Resulting Numbers: [26, 55]
Generated Node #0,0,0: 52:[26, 55] Operation: 8+47=55
Moving to Node #0,0,0
Current State: 52:[26, 55], Operations: ['65-18=47', '8+47=55']
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,52 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 |
[
16,
8,
20,
1
] | 20 | [
"16/8=2",
"2-1=1",
"20*1=20"
] | Current State: 20:[16, 8, 20, 1], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [20, 1, 2]
Generated Node #2: [20, 1, 2] from Operation: 16/8=2
Current State: 20:[20, 1, 2], Operations: ['16/8=2']
Exploring Operation: 2-1=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 2-1=1
Current State: 20:[20, 1], Operations: ['16/8=2', '2-1=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[16, 8, 20, 1], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [20, 1, 2]
Generated Node #0,0: 20:[20, 1, 2] Operation: 16/8=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[20, 1, 2], Operations: ['16/8=2']
Exploring Operation: 20*1=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 20:[2, 20] Operation: 20*1=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[2, 20], Operations: ['16/8=2', '20*1=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,20 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 |
[
72,
42,
75,
59
] | 67 | [
"75-72=3",
"42*3=126",
"126-59=67"
] | Current State: 67:[72, 42, 75, 59], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [42, 59, 3]
Generated Node #2: [42, 59, 3] from Operation: 75-72=3
Current State: 67:[42, 59, 3], Operations: ['75-72=3']
Exploring Operation: 42*3=126, Resulting Numbers: [59, 126]
Generated Node #3: [59, 126] from Operation: 42*3=126
Current State: 67:[59, 126], Operations: ['75-72=3', '42*3=126']
Exploring Operation: 126-59=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[72, 42, 75, 59], Operations: []
Exploring Operation: 75-42=33, Resulting Numbers: [72, 59, 33]
Generated Node #0,0: 67:[72, 59, 33] Operation: 75-42=33
Moving to Node #0,0
Current State: 67:[72, 59, 33], Operations: ['75-42=33']
Exploring Operation: 59+33=92, Resulting Numbers: [72, 92]
Generated Node #0,0,0: 67:[72, 92] Operation: 59+33=92
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[72, 92], Operations: ['75-42=33', '59+33=92']
Exploring Operation: 92-72=20, Resulting Numbers: [20]
20,67 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 |
[
41,
21,
2,
82
] | 64 | [
"41-21=20",
"2+82=84",
"84-20=64"
] | Current State: 64:[41, 21, 2, 82], Operations: []
Exploring Operation: 41-21=20, Resulting Numbers: [2, 82, 20]
Generated Node #2: [2, 82, 20] from Operation: 41-21=20
Current State: 64:[2, 82, 20], Operations: ['41-21=20']
Exploring Operation: 2+82=84, Resulting Numbers: [20, 84]
Generated Node #3: [20, 84] from Operation: 2+82=84
Current State: 64:[20, 84], Operations: ['41-21=20', '2+82=84']
Exploring Operation: 84-20=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[41, 21, 2, 82], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [21, 2, 2]
Generated Node #0,0: 64:[21, 2, 2] Operation: 82/41=2
Exploring Operation: 41-21=20, Resulting Numbers: [2, 82, 20]
Generated Node #0,1: 64:[2, 82, 20] Operation: 41-21=20
Exploring Operation: 82-21=61, Resulting Numbers: [41, 2, 61]
Generated Node #0,2: 64:[41, 2, 61] Operation: 82-21=61
Exploring Operation: 41+21=62, Resulting Numbers: [2, 82, 62]
Generated Node #0,3: 64:[2, 82, 62] Operation: 41+21=62
Exploring Operation: 82-41=41, Resulting Numbers: [21, 2, 41]
Generated Node #0,4: 64:[21, 2, 41] Operation: 82-41=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[21, 2, 2], Operations: ['82/41=2']
Exploring Operation: 21-2=19, Resulting Numbers: [2, 19]
Generated Node #0,0,0: 64:[2, 19] Operation: 21-2=19
Exploring Operation: 2*2=4, Resulting Numbers: [21, 4]
Generated Node #0,0,1: 64:[21, 4] Operation: 2*2=4
Exploring Operation: 21-2=19, Resulting Numbers: [2, 19]
Generated Node #0,0,2: 64:[2, 19] Operation: 21-2=19
Exploring Operation: 2/2=1, Resulting Numbers: [21, 1]
Generated Node #0,0,3: 64:[21, 1] Operation: 2/2=1
Exploring Operation: 2+2=4, Resulting Numbers: [21, 4]
Generated Node #0,0,4: 64:[21, 4] Operation: 2+2=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 64:[2, 19], Operations: ['82/41=2', '21-2=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,64 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,64 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: 64:[2, 19], Operations: ['82/41=2', '21-2=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,64 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,64 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: 64:[21, 4], Operations: ['82/41=2', '2*2=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,64 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: 64:[21, 4], Operations: ['82/41=2', '2+2=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,64 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,64 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: 64:[21, 1], Operations: ['82/41=2', '2/2=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,64 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,64 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: 64:[41, 2, 61], Operations: ['82-21=61']
Exploring Operation: 61-41=20, Resulting Numbers: [2, 20]
Generated Node #0,2,0: 64:[2, 20] Operation: 61-41=20
Exploring Operation: 61-2=59, Resulting Numbers: [41, 59]
Generated Node #0,2,1: 64:[41, 59] Operation: 61-2=59
Exploring Operation: 41-2=39, Resulting Numbers: [61, 39]
Generated Node #0,2,2: 64:[61, 39] Operation: 41-2=39
Exploring Operation: 41+2=43, Resulting Numbers: [61, 43]
Generated Node #0,2,3: 64:[61, 43] Operation: 41+2=43
Exploring Operation: 2+61=63, Resulting Numbers: [41, 63]
Generated Node #0,2,4: 64:[41, 63] Operation: 2+61=63
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 64:[2, 20], Operations: ['82-21=61', '61-41=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,64 unequal: No Solution
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,64 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: 64:[61, 39], Operations: ['82-21=61', '41-2=39']
Exploring Operation: 61*39=2379, Resulting Numbers: [2379]
2379,64 unequal: No Solution
Exploring Operation: 61+39=100, Resulting Numbers: [100]
100,64 unequal: No Solution
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,64 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: 64:[41, 63], Operations: ['82-21=61', '2+61=63']
Exploring Operation: 41*63=2583, Resulting Numbers: [2583]
2583,64 unequal: No Solution
Exploring Operation: 41+63=104, Resulting Numbers: [104]
104,64 unequal: No Solution
Exploring Operation: 63-41=22, Resulting Numbers: [22]
22,64 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: 64:[41, 59], Operations: ['82-21=61', '61-2=59']
Exploring Operation: 41*59=2419, Resulting Numbers: [2419]
2419,64 unequal: No Solution
Exploring Operation: 59-41=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 41+59=100, Resulting Numbers: [100]
100,64 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: 64:[61, 43], Operations: ['82-21=61', '41+2=43']
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 61*43=2623, Resulting Numbers: [2623]
2623,64 unequal: No Solution
Exploring Operation: 61+43=104, Resulting Numbers: [104]
104,64 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 #0,4
Current State: 64:[21, 2, 41], Operations: ['82-41=41']
Exploring Operation: 21+41=62, Resulting Numbers: [2, 62]
Generated Node #0,4,0: 64:[2, 62] Operation: 21+41=62
Exploring Operation: 21+2=23, Resulting Numbers: [41, 23]
Generated Node #0,4,1: 64:[41, 23] Operation: 21+2=23
Exploring Operation: 41-21=20, Resulting Numbers: [2, 20]
Generated Node #0,4,2: 64:[2, 20] Operation: 41-21=20
Exploring Operation: 41-2=39, Resulting Numbers: [21, 39]
Generated Node #0,4,3: 64:[21, 39] Operation: 41-2=39
Exploring Operation: 21-2=19, Resulting Numbers: [41, 19]
Generated Node #0,4,4: 64:[41, 19] Operation: 21-2=19
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 64:[2, 62], Operations: ['82-41=41', '21+41=62']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[41, 21, 2, 82], Operations: []
Exploring Operation: 82-41=41, Resulting Numbers: [21, 2, 41]
Generated Node #0,4: 64:[21, 2, 41] Operation: 82-41=41
Moving to Node #0,4
Current State: 64:[21, 2, 41], Operations: ['82-41=41']
Exploring Operation: 21+41=62, Resulting Numbers: [2, 62]
Generated Node #0,4,0: 64:[2, 62] Operation: 21+41=62
Moving to Node #0,4,0
Current State: 64:[2, 62], Operations: ['82-41=41', '21+41=62']
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.949653 | hs_5 | mult_heuristic |
[
91,
78,
36,
90
] | 67 | [
"91-78=13",
"90-36=54",
"13+54=67"
] | Current State: 67:[91, 78, 36, 90], Operations: []
Exploring Operation: 91-78=13, Resulting Numbers: [36, 90, 13]
Generated Node #2: [36, 90, 13] from Operation: 91-78=13
Current State: 67:[36, 90, 13], Operations: ['91-78=13']
Exploring Operation: 90-36=54, Resulting Numbers: [13, 54]
Generated Node #3: [13, 54] from Operation: 90-36=54
Current State: 67:[13, 54], Operations: ['91-78=13', '90-36=54']
Exploring Operation: 13+54=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[91, 78, 36, 90], Operations: []
Exploring Operation: 91-36=55, Resulting Numbers: [78, 90, 55]
Generated Node #0,0: 67:[78, 90, 55] Operation: 91-36=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[78, 90, 55], Operations: ['91-36=55']
Exploring Operation: 90-55=35, Resulting Numbers: [78, 35]
Generated Node #0,0,0: 67:[78, 35] Operation: 90-55=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[78, 35], Operations: ['91-36=55', '90-55=35']
Exploring Operation: 78-35=43, Resulting Numbers: [43]
43,67 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 |
[
36,
63,
34,
72
] | 58 | [
"72/36=2",
"63-34=29",
"2*29=58"
] | Current State: 58:[36, 63, 34, 72], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [63, 34, 2]
Generated Node #2: [63, 34, 2] from Operation: 72/36=2
Current State: 58:[63, 34, 2], Operations: ['72/36=2']
Exploring Operation: 63-34=29, Resulting Numbers: [2, 29]
Generated Node #3: [2, 29] from Operation: 63-34=29
Current State: 58:[2, 29], Operations: ['72/36=2', '63-34=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[36, 63, 34, 72], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [63, 34, 2]
Generated Node #0,0: 58:[63, 34, 2] Operation: 72/36=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[63, 34, 2], Operations: ['72/36=2']
Exploring Operation: 63-34=29, Resulting Numbers: [2, 29]
Generated Node #0,0,0: 58:[2, 29] Operation: 63-34=29
Moving to Node #0,0,0
Current State: 58:[2, 29], Operations: ['72/36=2', '63-34=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[36, 63, 34, 72], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [63, 34, 2]
Generated Node #0,0: 58:[63, 34, 2] Operation: 72/36=2
Moving to Node #0,0
Current State: 58:[63, 34, 2], Operations: ['72/36=2']
Exploring Operation: 63-34=29, Resulting Numbers: [2, 29]
Generated Node #0,0,0: 58:[2, 29] Operation: 63-34=29
Moving to Node #0,0,0
Current State: 58:[2, 29], Operations: ['72/36=2', '63-34=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
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