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 |
|---|---|---|---|---|---|---|---|---|
[
27,
58,
85,
67
] | 66 | [
"27+58=85",
"85/85=1",
"67-1=66"
] | Current State: 66:[27, 58, 85, 67], Operations: []
Exploring Operation: 27+58=85, Resulting Numbers: [85, 67, 85]
Generated Node #2: [85, 67, 85] from Operation: 27+58=85
Current State: 66:[85, 67, 85], Operations: ['27+58=85']
Exploring Operation: 85/85=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 85/85=1
Current State: 66:[67, 1], Operations: ['27+58=85', '85/85=1']
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[27, 58, 85, 67], Operations: []
Exploring Operation: 85-27=58, Resulting Numbers: [58, 67, 58]
Generated Node #0,0: 66:[58, 67, 58] Operation: 85-27=58
Exploring Operation: 85-58=27, Resulting Numbers: [27, 67, 27]
Generated Node #0,1: 66:[27, 67, 27] Operation: 85-58=27
Moving to Node #0,1
Current State: 66:[27, 67, 27], Operations: ['85-58=27']
Exploring Operation: 27/27=1, Resulting Numbers: [67, 1]
Generated Node #0,1,0: 66:[67, 1] Operation: 27/27=1
Exploring Operation: 27-27=0, Resulting Numbers: [67, 0]
Generated Node #0,1,1: 66:[67, 0] Operation: 27-27=0
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[67, 1], Operations: ['85-58=27', '27/27=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[27, 58, 85, 67], Operations: []
Exploring Operation: 85-58=27, Resulting Numbers: [27, 67, 27]
Generated Node #0,1: 66:[27, 67, 27] Operation: 85-58=27
Moving to Node #0,1
Current State: 66:[27, 67, 27], Operations: ['85-58=27']
Exploring Operation: 27/27=1, Resulting Numbers: [67, 1]
Generated Node #0,1,0: 66:[67, 1] Operation: 27/27=1
Moving to Node #0,1,0
Current State: 66:[67, 1], Operations: ['85-58=27', '27/27=1']
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
96,
28,
4,
28
] | 59 | [
"96+28=124",
"124/4=31",
"28+31=59"
] | Current State: 59:[96, 28, 4, 28], Operations: []
Exploring Operation: 96+28=124, Resulting Numbers: [4, 124]
Generated Node #2: [4, 124] from Operation: 96+28=124
Current State: 59:[4, 124], Operations: ['96+28=124']
Exploring Operation: 124/4=31, Resulting Numbers: [31]
31,59 equal: Goal Reached
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[96, 28, 4, 28], Operations: []
Exploring Operation: 96-28=68, Resulting Numbers: [4, 28, 68]
Generated Node #0,0: 59:[4, 28, 68] Operation: 96-28=68
Exploring Operation: 96-4=92, Resulting Numbers: [28, 28, 92]
Generated Node #0,1: 59:[28, 28, 92] Operation: 96-4=92
Exploring Operation: 28+4=32, Resulting Numbers: [96, 28, 32]
Generated Node #0,2: 59:[96, 28, 32] Operation: 28+4=32
Exploring Operation: 96-28=68, Resulting Numbers: [28, 4, 68]
Generated Node #0,3: 59:[28, 4, 68] Operation: 96-28=68
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[4, 28, 68], Operations: ['96-28=68']
Exploring Operation: 28-4=24, Resulting Numbers: [68, 24]
Generated Node #0,0,0: 59:[68, 24] Operation: 28-4=24
Exploring Operation: 68-4=64, Resulting Numbers: [28, 64]
Generated Node #0,0,1: 59:[28, 64] Operation: 68-4=64
Exploring Operation: 4+68=72, Resulting Numbers: [28, 72]
Generated Node #0,0,2: 59:[28, 72] Operation: 4+68=72
Exploring Operation: 4+28=32, Resulting Numbers: [68, 32]
Generated Node #0,0,3: 59:[68, 32] Operation: 4+28=32
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[28, 64], Operations: ['96-28=68', '68-4=64']
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 28*64=1792, Resulting Numbers: [1792]
1792,59 unequal: No Solution
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,59 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 #0,0,3
Current State: 59:[68, 32], Operations: ['96-28=68', '4+28=32']
Exploring Operation: 68*32=2176, Resulting Numbers: [2176]
2176,59 unequal: No Solution
Exploring Operation: 68+32=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 68-32=36, Resulting Numbers: [36]
36,59 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 #0,0,0
Current State: 59:[68, 24], Operations: ['96-28=68', '28-4=24']
Exploring Operation: 68*24=1632, Resulting Numbers: [1632]
1632,59 unequal: No Solution
Exploring Operation: 68+24=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 68-24=44, Resulting Numbers: [44]
44,59 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 #0,0,2
Current State: 59:[28, 72], Operations: ['96-28=68', '4+68=72']
Exploring Operation: 28*72=2016, Resulting Numbers: [2016]
2016,59 unequal: No Solution
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 28+72=100, Resulting Numbers: [100]
100,59 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: 59:[28, 28, 92], Operations: ['96-4=92']
Exploring Operation: 28+28=56, Resulting Numbers: [92, 56]
Generated Node #0,1,0: 59:[92, 56] Operation: 28+28=56
Exploring Operation: 92-28=64, Resulting Numbers: [28, 64]
Generated Node #0,1,1: 59:[28, 64] Operation: 92-28=64
Exploring Operation: 28/28=1, Resulting Numbers: [92, 1]
Generated Node #0,1,2: 59:[92, 1] Operation: 28/28=1
Exploring Operation: 92-28=64, Resulting Numbers: [28, 64]
Generated Node #0,1,3: 59:[28, 64] Operation: 92-28=64
Moving to Node #0,1,0
Current State: 59:[92, 56], Operations: ['96-4=92', '28+28=56']
Exploring Operation: 92+56=148, Resulting Numbers: [148]
148,59 unequal: No Solution
Exploring Operation: 92-56=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 92*56=5152, Resulting Numbers: [5152]
5152,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[28, 64], Operations: ['96-4=92', '92-28=64']
Exploring Operation: 28*64=1792, Resulting Numbers: [1792]
1792,59 unequal: No Solution
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[28, 64], Operations: ['96-4=92', '92-28=64']
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 28*64=1792, Resulting Numbers: [1792]
1792,59 unequal: No Solution
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[92, 1], Operations: ['96-4=92', '28/28=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,59 unequal: No Solution
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,59 unequal: No Solution
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,59 unequal: No Solution
No 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: 59:[96, 28, 32], Operations: ['28+4=32']
Exploring Operation: 96-28=68, Resulting Numbers: [32, 68]
Generated Node #0,2,0: 59:[32, 68] Operation: 96-28=68
Exploring Operation: 96-32=64, Resulting Numbers: [28, 64]
Generated Node #0,2,1: 59:[28, 64] Operation: 96-32=64
Exploring Operation: 96/32=3, Resulting Numbers: [28, 3]
Generated Node #0,2,2: 59:[28, 3] Operation: 96/32=3
Exploring Operation: 28+32=60, Resulting Numbers: [96, 60]
Generated Node #0,2,3: 59:[96, 60] Operation: 28+32=60
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 59:[32, 68], Operations: ['28+4=32', '96-28=68']
Exploring Operation: 32+68=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 32*68=2176, Resulting Numbers: [2176]
2176,59 unequal: No Solution
Exploring Operation: 68-32=36, Resulting Numbers: [36]
36,59 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 #0,2,1
Current State: 59:[28, 64], Operations: ['28+4=32', '96-32=64']
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 28*64=1792, Resulting Numbers: [1792]
1792,59 unequal: No Solution
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,59 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 #0,2,3
Current State: 59:[96, 60], Operations: ['28+4=32', '28+32=60']
Exploring Operation: 96-60=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 96*60=5760, Resulting Numbers: [5760]
5760,59 unequal: No Solution
Exploring Operation: 96+60=156, Resulting Numbers: [156]
156,59 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 #0,2,2
Current State: 59:[28, 3], Operations: ['28+4=32', '96/32=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,59 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,59 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: 59:[28, 4, 68], Operations: ['96-28=68']
Exploring Operation: 28+4=32, Resulting Numbers: [68, 32]
Generated Node #0,3,0: 59:[68, 32] Operation: 28+4=32
Exploring Operation: 28-4=24, Resulting Numbers: [68, 24]
Generated Node #0,3,1: 59:[68, 24] Operation: 28-4=24
Exploring Operation: 68-4=64, Resulting Numbers: [28, 64]
Generated Node #0,3,2: 59:[28, 64] Operation: 68-4=64
Exploring Operation: 4+68=72, Resulting Numbers: [28, 72]
Generated Node #0,3,3: 59:[28, 72] Operation: 4+68=72
Moving to Node #0,3,0
Current State: 59:[68, 32], Operations: ['96-28=68', '28+4=32']
Exploring Operation: 68-32=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 68+32=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 68*32=2176, Resulting Numbers: [2176]
2176,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[28, 64], Operations: ['96-28=68', '68-4=64']
Exploring Operation: 28*64=1792, Resulting Numbers: [1792]
1792,59 unequal: No Solution
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[28, 72], Operations: ['96-28=68', '4+68=72']
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 28*72=2016, Resulting Numbers: [2016]
2016,59 unequal: No Solution
Exploring Operation: 28+72=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[68, 24], Operations: ['96-28=68', '28-4=24']
Exploring Operation: 68*24=1632, Resulting Numbers: [1632]
1632,59 unequal: No Solution
Exploring Operation: 68-24=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 68+24=92, Resulting Numbers: [92]
92,59 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 |
[
9,
8,
12,
92
] | 16 | [
"92-8=84",
"84/12=7",
"9+7=16"
] | Current State: 16:[9, 8, 12, 92], Operations: []
Exploring Operation: 92-8=84, Resulting Numbers: [9, 12, 84]
Generated Node #2: [9, 12, 84] from Operation: 92-8=84
Current State: 16:[9, 12, 84], Operations: ['92-8=84']
Exploring Operation: 84/12=7, Resulting Numbers: [9, 7]
Generated Node #3: [9, 7] from Operation: 84/12=7
Current State: 16:[9, 7], Operations: ['92-8=84', '84/12=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[9, 8, 12, 92], Operations: []
Exploring Operation: 92-12=80, Resulting Numbers: [9, 8, 80]
Generated Node #0,0: 16:[9, 8, 80] Operation: 92-12=80
Exploring Operation: 92-9=83, Resulting Numbers: [8, 12, 83]
Generated Node #0,1: 16:[8, 12, 83] Operation: 92-9=83
Exploring Operation: 12-9=3, Resulting Numbers: [8, 92, 3]
Generated Node #0,2: 16:[8, 92, 3] Operation: 12-9=3
Exploring Operation: 92-8=84, Resulting Numbers: [9, 12, 84]
Generated Node #0,3: 16:[9, 12, 84] Operation: 92-8=84
Moving to Node #0,0
Current State: 16:[9, 8, 80], Operations: ['92-12=80']
Exploring Operation: 80/8=10, Resulting Numbers: [9, 10]
Generated Node #0,0,0: 16:[9, 10] Operation: 80/8=10
Exploring Operation: 9+8=17, Resulting Numbers: [80, 17]
Generated Node #0,0,1: 16:[80, 17] Operation: 9+8=17
Exploring Operation: 80-8=72, Resulting Numbers: [9, 72]
Generated Node #0,0,2: 16:[9, 72] Operation: 80-8=72
Exploring Operation: 80-9=71, Resulting Numbers: [8, 71]
Generated Node #0,0,3: 16:[8, 71] Operation: 80-9=71
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[9, 10], Operations: ['92-12=80', '80/8=10']
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 16:[8, 71], Operations: ['92-12=80', '80-9=71']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,16 unequal: No Solution
Exploring Operation: 8*71=568, Resulting Numbers: [568]
568,16 unequal: No Solution
Exploring Operation: 8+71=79, Resulting Numbers: [79]
79,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 16:[9, 72], Operations: ['92-12=80', '80-8=72']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,16 unequal: No Solution
Exploring Operation: 72/9=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 9+72=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 9*72=648, Resulting Numbers: [648]
648,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[80, 17], Operations: ['92-12=80', '9+8=17']
Exploring Operation: 80-17=63, Resulting Numbers: [63]
63,16 unequal: No Solution
Exploring Operation: 80*17=1360, Resulting Numbers: [1360]
1360,16 unequal: No Solution
Exploring Operation: 80+17=97, Resulting Numbers: [97]
97,16 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: 16:[8, 12, 83], Operations: ['92-9=83']
Exploring Operation: 12-8=4, Resulting Numbers: [83, 4]
Generated Node #0,1,0: 16:[83, 4] Operation: 12-8=4
Exploring Operation: 83-12=71, Resulting Numbers: [8, 71]
Generated Node #0,1,1: 16:[8, 71] Operation: 83-12=71
Exploring Operation: 8+12=20, Resulting Numbers: [83, 20]
Generated Node #0,1,2: 16:[83, 20] Operation: 8+12=20
Exploring Operation: 83-8=75, Resulting Numbers: [12, 75]
Generated Node #0,1,3: 16:[12, 75] Operation: 83-8=75
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 16:[8, 71], Operations: ['92-9=83', '83-12=71']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,16 unequal: No Solution
Exploring Operation: 8+71=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Exploring Operation: 8*71=568, Resulting Numbers: [568]
568,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 16:[12, 75], Operations: ['92-9=83', '83-8=75']
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,16 unequal: No Solution
Exploring Operation: 12+75=87, Resulting Numbers: [87]
87,16 unequal: No Solution
Exploring Operation: 12*75=900, Resulting Numbers: [900]
900,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[83, 4], Operations: ['92-9=83', '12-8=4']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,16 unequal: No Solution
Exploring Operation: 83*4=332, Resulting Numbers: [332]
332,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 16:[83, 20], Operations: ['92-9=83', '8+12=20']
Exploring Operation: 83+20=103, Resulting Numbers: [103]
103,16 unequal: No Solution
Exploring Operation: 83*20=1660, Resulting Numbers: [1660]
1660,16 unequal: No Solution
Exploring Operation: 83-20=63, Resulting Numbers: [63]
63,16 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: 16:[9, 12, 84], Operations: ['92-8=84']
Exploring Operation: 12-9=3, Resulting Numbers: [84, 3]
Generated Node #0,3,0: 16:[84, 3] Operation: 12-9=3
Exploring Operation: 84-9=75, Resulting Numbers: [12, 75]
Generated Node #0,3,1: 16:[12, 75] Operation: 84-9=75
Exploring Operation: 84/12=7, Resulting Numbers: [9, 7]
Generated Node #0,3,2: 16:[9, 7] Operation: 84/12=7
Exploring Operation: 84-12=72, Resulting Numbers: [9, 72]
Generated Node #0,3,3: 16:[9, 72] Operation: 84-12=72
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 16:[9, 7], Operations: ['92-8=84', '84/12=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[9, 8, 12, 92], Operations: []
Exploring Operation: 92-8=84, Resulting Numbers: [9, 12, 84]
Generated Node #0,3: 16:[9, 12, 84] Operation: 92-8=84
Moving to Node #0,3
Current State: 16:[9, 12, 84], Operations: ['92-8=84']
Exploring Operation: 84/12=7, Resulting Numbers: [9, 7]
Generated Node #0,3,2: 16:[9, 7] Operation: 84/12=7
Moving to Node #0,3,2
Current State: 16:[9, 7], Operations: ['92-8=84', '84/12=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_4 | sum_heuristic |
[
97,
54,
99,
94
] | 21 | [
"97-94=3",
"99/3=33",
"54-33=21"
] | Current State: 21:[97, 54, 99, 94], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [54, 99, 3]
Generated Node #2: [54, 99, 3] from Operation: 97-94=3
Current State: 21:[54, 99, 3], Operations: ['97-94=3']
Exploring Operation: 99/3=33, Resulting Numbers: [54, 33]
Generated Node #3: [54, 33] from Operation: 99/3=33
Current State: 21:[54, 33], Operations: ['97-94=3', '99/3=33']
Exploring Operation: 54-33=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[97, 54, 99, 94], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [54, 94, 2]
Generated Node #0,0: 21:[54, 94, 2] Operation: 99-97=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[54, 94, 2], Operations: ['99-97=2']
Exploring Operation: 94-54=40, Resulting Numbers: [2, 40]
Generated Node #0,0,0: 21:[2, 40] Operation: 94-54=40
Moving to Node #0,0,0
Current State: 21:[2, 40], Operations: ['99-97=2', '94-54=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,21 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 |
[
59,
2,
86,
71
] | 76 | [
"59+2=61",
"86-71=15",
"61+15=76"
] | Current State: 76:[59, 2, 86, 71], Operations: []
Exploring Operation: 59+2=61, Resulting Numbers: [86, 71, 61]
Generated Node #2: [86, 71, 61] from Operation: 59+2=61
Current State: 76:[86, 71, 61], Operations: ['59+2=61']
Exploring Operation: 86-71=15, Resulting Numbers: [61, 15]
Generated Node #3: [61, 15] from Operation: 86-71=15
Current State: 76:[61, 15], Operations: ['59+2=61', '86-71=15']
Exploring Operation: 61+15=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[59, 2, 86, 71], Operations: []
Exploring Operation: 86-59=27, Resulting Numbers: [2, 71, 27]
Generated Node #0,0: 76:[2, 71, 27] Operation: 86-59=27
Exploring Operation: 71-59=12, Resulting Numbers: [2, 86, 12]
Generated Node #0,1: 76:[2, 86, 12] Operation: 71-59=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[2, 71, 27], Operations: ['86-59=27']
Exploring Operation: 71-27=44, Resulting Numbers: [2, 44]
Generated Node #0,0,0: 76:[2, 44] Operation: 71-27=44
Exploring Operation: 2+71=73, Resulting Numbers: [27, 73]
Generated Node #0,0,1: 76:[27, 73] Operation: 2+71=73
Moving to Node #0,0,0
Current State: 76:[2, 44], Operations: ['86-59=27', '71-27=44']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[27, 73], Operations: ['86-59=27', '2+71=73']
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,76 unequal: No Solution
Exploring Operation: 27+73=100, Resulting Numbers: [100]
100,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[2, 86, 12], Operations: ['71-59=12']
Exploring Operation: 86/2=43, Resulting Numbers: [12, 43]
Generated Node #0,1,0: 76:[12, 43] Operation: 86/2=43
Exploring Operation: 86-12=74, Resulting Numbers: [2, 74]
Generated Node #0,1,1: 76:[2, 74] Operation: 86-12=74
Moving to Node #0,1,1
Current State: 76:[2, 74], Operations: ['71-59=12', '86-12=74']
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[59, 2, 86, 71], Operations: []
Exploring Operation: 71-59=12, Resulting Numbers: [2, 86, 12]
Generated Node #0,1: 76:[2, 86, 12] Operation: 71-59=12
Moving to Node #0,1
Current State: 76:[2, 86, 12], Operations: ['71-59=12']
Exploring Operation: 86-12=74, Resulting Numbers: [2, 74]
Generated Node #0,1,1: 76:[2, 74] Operation: 86-12=74
Moving to Node #0,1,1
Current State: 76:[2, 74], Operations: ['71-59=12', '86-12=74']
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
5,
32,
49,
13
] | 82 | [
"5*13=65",
"49-32=17",
"65+17=82"
] | Current State: 82:[5, 32, 49, 13], Operations: []
Exploring Operation: 5*13=65, Resulting Numbers: [32, 49, 65]
Generated Node #2: [32, 49, 65] from Operation: 5*13=65
Current State: 82:[32, 49, 65], Operations: ['5*13=65']
Exploring Operation: 49-32=17, Resulting Numbers: [65, 17]
Generated Node #3: [65, 17] from Operation: 49-32=17
Current State: 82:[65, 17], Operations: ['5*13=65', '49-32=17']
Exploring Operation: 65+17=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[5, 32, 49, 13], Operations: []
Exploring Operation: 32+49=81, Resulting Numbers: [5, 13, 81]
Generated Node #0,0: 82:[5, 13, 81] Operation: 32+49=81
Moving to Node #0,0
Current State: 82:[5, 13, 81], Operations: ['32+49=81']
Exploring Operation: 13-5=8, Resulting Numbers: [81, 8]
Generated Node #0,0,0: 82:[81, 8] Operation: 13-5=8
Moving to Node #0,0,0
Current State: 82:[81, 8], Operations: ['32+49=81', '13-5=8']
Exploring Operation: 81+8=89, Resulting Numbers: [89]
89,82 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
28,
36,
42,
96
] | 74 | [
"28+36=64",
"42+96=138",
"138-64=74"
] | Current State: 74:[28, 36, 42, 96], Operations: []
Exploring Operation: 28+36=64, Resulting Numbers: [42, 96, 64]
Generated Node #2: [42, 96, 64] from Operation: 28+36=64
Current State: 74:[42, 96, 64], Operations: ['28+36=64']
Exploring Operation: 42+96=138, Resulting Numbers: [64, 138]
Generated Node #3: [64, 138] from Operation: 42+96=138
Current State: 74:[64, 138], Operations: ['28+36=64', '42+96=138']
Exploring Operation: 138-64=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[28, 36, 42, 96], Operations: []
Exploring Operation: 28+42=70, Resulting Numbers: [36, 96, 70]
Generated Node #0,0: 74:[36, 96, 70] Operation: 28+42=70
Exploring Operation: 96-28=68, Resulting Numbers: [36, 42, 68]
Generated Node #0,1: 74:[36, 42, 68] Operation: 96-28=68
Exploring Operation: 96-42=54, Resulting Numbers: [28, 36, 54]
Generated Node #0,2: 74:[28, 36, 54] Operation: 96-42=54
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[36, 42, 68], Operations: ['96-28=68']
Exploring Operation: 42-36=6, Resulting Numbers: [68, 6]
Generated Node #0,1,0: 74:[68, 6] Operation: 42-36=6
Exploring Operation: 36+42=78, Resulting Numbers: [68, 78]
Generated Node #0,1,1: 74:[68, 78] Operation: 36+42=78
Exploring Operation: 68-36=32, Resulting Numbers: [42, 32]
Generated Node #0,1,2: 74:[42, 32] Operation: 68-36=32
Moving to Node #0,1,0
Current State: 74:[68, 6], Operations: ['96-28=68', '42-36=6']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,74 unequal: No Solution
Exploring Operation: 68*6=408, Resulting Numbers: [408]
408,74 unequal: No Solution
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[28, 36, 42, 96], Operations: []
Exploring Operation: 96-28=68, Resulting Numbers: [36, 42, 68]
Generated Node #0,1: 74:[36, 42, 68] Operation: 96-28=68
Moving to Node #0,1
Current State: 74:[36, 42, 68], Operations: ['96-28=68']
Exploring Operation: 42-36=6, Resulting Numbers: [68, 6]
Generated Node #0,1,0: 74:[68, 6] Operation: 42-36=6
Moving to Node #0,1,0
Current State: 74:[68, 6], Operations: ['96-28=68', '42-36=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
22,
19,
5,
56
] | 64 | [
"22-19=3",
"5+56=61",
"3+61=64"
] | Current State: 64:[22, 19, 5, 56], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [5, 56, 3]
Generated Node #2: [5, 56, 3] from Operation: 22-19=3
Current State: 64:[5, 56, 3], Operations: ['22-19=3']
Exploring Operation: 5+56=61, Resulting Numbers: [3, 61]
Generated Node #3: [3, 61] from Operation: 5+56=61
Current State: 64:[3, 61], Operations: ['22-19=3', '5+56=61']
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[22, 19, 5, 56], Operations: []
Exploring Operation: 22-5=17, Resulting Numbers: [19, 56, 17]
Generated Node #0,0: 64:[19, 56, 17] Operation: 22-5=17
Exploring Operation: 56-22=34, Resulting Numbers: [19, 5, 34]
Generated Node #0,1: 64:[19, 5, 34] Operation: 56-22=34
Exploring Operation: 22-19=3, Resulting Numbers: [5, 56, 3]
Generated Node #0,2: 64:[5, 56, 3] Operation: 22-19=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[19, 5, 34], Operations: ['56-22=34']
Exploring Operation: 19-5=14, Resulting Numbers: [34, 14]
Generated Node #0,1,0: 64:[34, 14] Operation: 19-5=14
Exploring Operation: 34-19=15, Resulting Numbers: [5, 15]
Generated Node #0,1,1: 64:[5, 15] Operation: 34-19=15
Exploring Operation: 34-5=29, Resulting Numbers: [19, 29]
Generated Node #0,1,2: 64:[19, 29] Operation: 34-5=29
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[5, 15], Operations: ['56-22=34', '34-19=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,64 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 #0,1,0
Current State: 64:[34, 14], Operations: ['56-22=34', '19-5=14']
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,64 unequal: No Solution
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 34*14=476, Resulting Numbers: [476]
476,64 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 #0,1,2
Current State: 64:[19, 29], Operations: ['56-22=34', '34-5=29']
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,64 unequal: No Solution
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,64 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:[5, 56, 3], Operations: ['22-19=3']
Exploring Operation: 5+3=8, Resulting Numbers: [56, 8]
Generated Node #0,2,0: 64:[56, 8] Operation: 5+3=8
Exploring Operation: 56+3=59, Resulting Numbers: [5, 59]
Generated Node #0,2,1: 64:[5, 59] Operation: 56+3=59
Exploring Operation: 5+56=61, Resulting Numbers: [3, 61]
Generated Node #0,2,2: 64:[3, 61] Operation: 5+56=61
Moving to Node #0,2,2
Current State: 64:[3, 61], Operations: ['22-19=3', '5+56=61']
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[22, 19, 5, 56], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [5, 56, 3]
Generated Node #0,2: 64:[5, 56, 3] Operation: 22-19=3
Moving to Node #0,2
Current State: 64:[5, 56, 3], Operations: ['22-19=3']
Exploring Operation: 5+56=61, Resulting Numbers: [3, 61]
Generated Node #0,2,2: 64:[3, 61] Operation: 5+56=61
Moving to Node #0,2,2
Current State: 64:[3, 61], Operations: ['22-19=3', '5+56=61']
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
7,
48,
10,
40
] | 56 | [
"10-7=3",
"48/3=16",
"40+16=56"
] | Current State: 56:[7, 48, 10, 40], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [48, 40, 3]
Generated Node #2: [48, 40, 3] from Operation: 10-7=3
Current State: 56:[48, 40, 3], Operations: ['10-7=3']
Exploring Operation: 48/3=16, Resulting Numbers: [40, 16]
Generated Node #3: [40, 16] from Operation: 48/3=16
Current State: 56:[40, 16], Operations: ['10-7=3', '48/3=16']
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[7, 48, 10, 40], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [7, 10, 8]
Generated Node #0,0: 56:[7, 10, 8] Operation: 48-40=8
Moving to Node #0,0
Current State: 56:[7, 10, 8], Operations: ['48-40=8']
Exploring Operation: 10-8=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 56:[7, 2] Operation: 10-8=2
Moving to Node #0,0,0
Current State: 56:[7, 2], Operations: ['48-40=8', '10-8=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,56 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
79,
54,
2,
35
] | 17 | [
"79-35=44",
"54/2=27",
"44-27=17"
] | Current State: 17:[79, 54, 2, 35], Operations: []
Exploring Operation: 79-35=44, Resulting Numbers: [54, 2, 44]
Generated Node #2: [54, 2, 44] from Operation: 79-35=44
Current State: 17:[54, 2, 44], Operations: ['79-35=44']
Exploring Operation: 54/2=27, Resulting Numbers: [44, 27]
Generated Node #3: [44, 27] from Operation: 54/2=27
Current State: 17:[44, 27], Operations: ['79-35=44', '54/2=27']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[79, 54, 2, 35], Operations: []
Exploring Operation: 79-54=25, Resulting Numbers: [2, 35, 25]
Generated Node #0,0: 17:[2, 35, 25] Operation: 79-54=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[2, 35, 25], Operations: ['79-54=25']
Exploring Operation: 35-25=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 17:[2, 10] Operation: 35-25=10
Moving to Node #0,0,0
Current State: 17:[2, 10], Operations: ['79-54=25', '35-25=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,17 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 |
[
17,
73,
34,
63
] | 41 | [
"73-17=56",
"34+63=97",
"97-56=41"
] | Current State: 41:[17, 73, 34, 63], Operations: []
Exploring Operation: 73-17=56, Resulting Numbers: [34, 63, 56]
Generated Node #2: [34, 63, 56] from Operation: 73-17=56
Current State: 41:[34, 63, 56], Operations: ['73-17=56']
Exploring Operation: 34+63=97, Resulting Numbers: [56, 97]
Generated Node #3: [56, 97] from Operation: 34+63=97
Current State: 41:[56, 97], Operations: ['73-17=56', '34+63=97']
Exploring Operation: 97-56=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[17, 73, 34, 63], Operations: []
Exploring Operation: 17+34=51, Resulting Numbers: [73, 63, 51]
Generated Node #0,0: 41:[73, 63, 51] Operation: 17+34=51
Exploring Operation: 73-63=10, Resulting Numbers: [17, 34, 10]
Generated Node #0,1: 41:[17, 34, 10] Operation: 73-63=10
Exploring Operation: 73-34=39, Resulting Numbers: [17, 63, 39]
Generated Node #0,2: 41:[17, 63, 39] Operation: 73-34=39
Exploring Operation: 73-17=56, Resulting Numbers: [34, 63, 56]
Generated Node #0,3: 41:[34, 63, 56] Operation: 73-17=56
Exploring Operation: 63-17=46, Resulting Numbers: [73, 34, 46]
Generated Node #0,4: 41:[73, 34, 46] Operation: 63-17=46
Moving to Node #0,3
Current State: 41:[34, 63, 56], Operations: ['73-17=56']
Exploring Operation: 56-34=22, Resulting Numbers: [63, 22]
Generated Node #0,3,0: 41:[63, 22] Operation: 56-34=22
Exploring Operation: 34+63=97, Resulting Numbers: [56, 97]
Generated Node #0,3,1: 41:[56, 97] Operation: 34+63=97
Exploring Operation: 63-34=29, Resulting Numbers: [56, 29]
Generated Node #0,3,2: 41:[56, 29] Operation: 63-34=29
Exploring Operation: 34+56=90, Resulting Numbers: [63, 90]
Generated Node #0,3,3: 41:[63, 90] Operation: 34+56=90
Exploring Operation: 63-56=7, Resulting Numbers: [34, 7]
Generated Node #0,3,4: 41:[34, 7] Operation: 63-56=7
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 41:[56, 29], Operations: ['73-17=56', '63-34=29']
Exploring Operation: 56+29=85, Resulting Numbers: [85]
85,41 unequal: No Solution
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Exploring Operation: 56*29=1624, Resulting Numbers: [1624]
1624,41 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 #0,3,0
Current State: 41:[63, 22], Operations: ['73-17=56', '56-34=22']
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[17, 73, 34, 63], Operations: []
Exploring Operation: 73-17=56, Resulting Numbers: [34, 63, 56]
Generated Node #0,3: 41:[34, 63, 56] Operation: 73-17=56
Moving to Node #0,3
Current State: 41:[34, 63, 56], Operations: ['73-17=56']
Exploring Operation: 56-34=22, Resulting Numbers: [63, 22]
Generated Node #0,3,0: 41:[63, 22] Operation: 56-34=22
Moving to Node #0,3,0
Current State: 41:[63, 22], Operations: ['73-17=56', '56-34=22']
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
54,
15,
10,
70
] | 90 | [
"54+10=64",
"70-64=6",
"15*6=90"
] | Current State: 90:[54, 15, 10, 70], Operations: []
Exploring Operation: 54+10=64, Resulting Numbers: [15, 70, 64]
Generated Node #2: [15, 70, 64] from Operation: 54+10=64
Current State: 90:[15, 70, 64], Operations: ['54+10=64']
Exploring Operation: 70-64=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 70-64=6
Current State: 90:[15, 6], Operations: ['54+10=64', '70-64=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[54, 15, 10, 70], Operations: []
Exploring Operation: 10+70=80, Resulting Numbers: [54, 15, 80]
Generated Node #0,0: 90:[54, 15, 80] Operation: 10+70=80
Exploring Operation: 70-54=16, Resulting Numbers: [15, 10, 16]
Generated Node #0,1: 90:[15, 10, 16] Operation: 70-54=16
Exploring Operation: 15+70=85, Resulting Numbers: [54, 10, 85]
Generated Node #0,2: 90:[54, 10, 85] Operation: 15+70=85
Exploring Operation: 70-15=55, Resulting Numbers: [54, 10, 55]
Generated Node #0,3: 90:[54, 10, 55] Operation: 70-15=55
Exploring Operation: 70/10=7, Resulting Numbers: [54, 15, 7]
Generated Node #0,4: 90:[54, 15, 7] Operation: 70/10=7
Moving to Node #0,1
Current State: 90:[15, 10, 16], Operations: ['70-54=16']
Exploring Operation: 16-10=6, Resulting Numbers: [15, 6]
Generated Node #0,1,0: 90:[15, 6] Operation: 16-10=6
Exploring Operation: 16-15=1, Resulting Numbers: [10, 1]
Generated Node #0,1,1: 90:[10, 1] Operation: 16-15=1
Exploring Operation: 10+16=26, Resulting Numbers: [15, 26]
Generated Node #0,1,2: 90:[15, 26] Operation: 10+16=26
Exploring Operation: 15+16=31, Resulting Numbers: [10, 31]
Generated Node #0,1,3: 90:[10, 31] Operation: 15+16=31
Exploring Operation: 15-10=5, Resulting Numbers: [16, 5]
Generated Node #0,1,4: 90:[16, 5] Operation: 15-10=5
Moving to Node #0,4
Current State: 90:[54, 15, 7], Operations: ['70/10=7']
Exploring Operation: 54+7=61, Resulting Numbers: [15, 61]
Generated Node #0,4,0: 90:[15, 61] Operation: 54+7=61
Exploring Operation: 15-7=8, Resulting Numbers: [54, 8]
Generated Node #0,4,1: 90:[54, 8] Operation: 15-7=8
Exploring Operation: 54-15=39, Resulting Numbers: [7, 39]
Generated Node #0,4,2: 90:[7, 39] Operation: 54-15=39
Exploring Operation: 15+7=22, Resulting Numbers: [54, 22]
Generated Node #0,4,3: 90:[54, 22] Operation: 15+7=22
Exploring Operation: 54-7=47, Resulting Numbers: [15, 47]
Generated Node #0,4,4: 90:[15, 47] Operation: 54-7=47
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 90:[15, 47], Operations: ['70/10=7', '54-7=47']
Exploring Operation: 15*47=705, Resulting Numbers: [705]
705,90 unequal: No Solution
Exploring Operation: 15+47=62, Resulting Numbers: [62]
62,90 unequal: No Solution
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 90:[7, 39], Operations: ['70/10=7', '54-15=39']
Exploring Operation: 7*39=273, Resulting Numbers: [273]
273,90 unequal: No Solution
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 90:[54, 8], Operations: ['70/10=7', '15-7=8']
Exploring Operation: 54*8=432, Resulting Numbers: [432]
432,90 unequal: No Solution
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 54+8=62, Resulting Numbers: [62]
62,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 90:[54, 22], Operations: ['70/10=7', '15+7=22']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,90 unequal: No Solution
Exploring Operation: 54*22=1188, Resulting Numbers: [1188]
1188,90 unequal: No Solution
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 90:[15, 61], Operations: ['70/10=7', '54+7=61']
Exploring Operation: 15*61=915, Resulting Numbers: [915]
915,90 unequal: No Solution
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 15+61=76, Resulting Numbers: [76]
76,90 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: 90:[54, 10, 85], Operations: ['15+70=85']
Exploring Operation: 54+10=64, Resulting Numbers: [85, 64]
Generated Node #0,2,0: 90:[85, 64] Operation: 54+10=64
Exploring Operation: 85-10=75, Resulting Numbers: [54, 75]
Generated Node #0,2,1: 90:[54, 75] Operation: 85-10=75
Exploring Operation: 85-54=31, Resulting Numbers: [10, 31]
Generated Node #0,2,2: 90:[10, 31] Operation: 85-54=31
Exploring Operation: 10+85=95, Resulting Numbers: [54, 95]
Generated Node #0,2,3: 90:[54, 95] Operation: 10+85=95
Exploring Operation: 54-10=44, Resulting Numbers: [85, 44]
Generated Node #0,2,4: 90:[85, 44] Operation: 54-10=44
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 90:[10, 31], Operations: ['15+70=85', '85-54=31']
Exploring Operation: 10*31=310, Resulting Numbers: [310]
310,90 unequal: No Solution
Exploring Operation: 10+31=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 90:[85, 44], Operations: ['15+70=85', '54-10=44']
Exploring Operation: 85*44=3740, Resulting Numbers: [3740]
3740,90 unequal: No Solution
Exploring Operation: 85-44=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 85+44=129, Resulting Numbers: [129]
129,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 90:[54, 95], Operations: ['15+70=85', '10+85=95']
Exploring Operation: 54+95=149, Resulting Numbers: [149]
149,90 unequal: No Solution
Exploring Operation: 54*95=5130, Resulting Numbers: [5130]
5130,90 unequal: No Solution
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 90:[85, 64], Operations: ['15+70=85', '54+10=64']
Exploring Operation: 85*64=5440, Resulting Numbers: [5440]
5440,90 unequal: No Solution
Exploring Operation: 85+64=149, Resulting Numbers: [149]
149,90 unequal: No Solution
Exploring Operation: 85-64=21, Resulting Numbers: [21]
21,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 90:[54, 75], Operations: ['15+70=85', '85-10=75']
Exploring Operation: 54+75=129, Resulting Numbers: [129]
129,90 unequal: No Solution
Exploring Operation: 54*75=4050, Resulting Numbers: [4050]
4050,90 unequal: No Solution
Exploring Operation: 75-54=21, Resulting Numbers: [21]
21,90 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: 90:[54, 15, 80], Operations: ['10+70=80']
Exploring Operation: 54-15=39, Resulting Numbers: [80, 39]
Generated Node #0,0,0: 90:[80, 39] Operation: 54-15=39
Exploring Operation: 54+15=69, Resulting Numbers: [80, 69]
Generated Node #0,0,1: 90:[80, 69] Operation: 54+15=69
Exploring Operation: 80-15=65, Resulting Numbers: [54, 65]
Generated Node #0,0,2: 90:[54, 65] Operation: 80-15=65
Exploring Operation: 80-54=26, Resulting Numbers: [15, 26]
Generated Node #0,0,3: 90:[15, 26] Operation: 80-54=26
Exploring Operation: 15+80=95, Resulting Numbers: [54, 95]
Generated Node #0,0,4: 90:[54, 95] Operation: 15+80=95
Moving to Node #0,3
Current State: 90:[54, 10, 55], Operations: ['70-15=55']
Exploring Operation: 54+10=64, Resulting Numbers: [55, 64]
Generated Node #0,3,0: 90:[55, 64] Operation: 54+10=64
Exploring Operation: 54-10=44, Resulting Numbers: [55, 44]
Generated Node #0,3,1: 90:[55, 44] Operation: 54-10=44
Exploring Operation: 55-10=45, Resulting Numbers: [54, 45]
Generated Node #0,3,2: 90:[54, 45] Operation: 55-10=45
Exploring Operation: 55-54=1, Resulting Numbers: [10, 1]
Generated Node #0,3,3: 90:[10, 1] Operation: 55-54=1
Exploring Operation: 54+55=109, Resulting Numbers: [10, 109]
Generated Node #0,3,4: 90:[10, 109] Operation: 54+55=109
Moving to Node #0,1,0
Current State: 90:[15, 6], Operations: ['70-54=16', '16-10=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,90 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[54, 15, 10, 70], Operations: []
Exploring Operation: 70-54=16, Resulting Numbers: [15, 10, 16]
Generated Node #0,1: 90:[15, 10, 16] Operation: 70-54=16
Moving to Node #0,1
Current State: 90:[15, 10, 16], Operations: ['70-54=16']
Exploring Operation: 16-10=6, Resulting Numbers: [15, 6]
Generated Node #0,1,0: 90:[15, 6] Operation: 16-10=6
Moving to Node #0,1,0
Current State: 90:[15, 6], Operations: ['70-54=16', '16-10=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 0.94184 | hs_5 | sum_heuristic |
[
58,
30,
8,
8
] | 10 | [
"58+30=88",
"88-8=80",
"80/8=10"
] | Current State: 10:[58, 30, 8, 8], Operations: []
Exploring Operation: 58+30=88, Resulting Numbers: [8, 8, 88]
Generated Node #2: [8, 8, 88] from Operation: 58+30=88
Current State: 10:[8, 8, 88], Operations: ['58+30=88']
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,10 equal: Goal Reached
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[58, 30, 8, 8], Operations: []
Exploring Operation: 58-30=28, Resulting Numbers: [8, 8, 28]
Generated Node #0,0: 10:[8, 8, 28] Operation: 58-30=28
Exploring Operation: 58-8=50, Resulting Numbers: [30, 8, 50]
Generated Node #0,1: 10:[30, 8, 50] Operation: 58-8=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[8, 8, 28], Operations: ['58-30=28']
Exploring Operation: 28-8=20, Resulting Numbers: [8, 20]
Generated Node #0,0,0: 10:[8, 20] Operation: 28-8=20
Exploring Operation: 28-8=20, Resulting Numbers: [8, 20]
Generated Node #0,0,1: 10:[8, 20] Operation: 28-8=20
Moving to Node #0,0,0
Current State: 10:[8, 20], Operations: ['58-30=28', '28-8=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,10 unequal: No Solution
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[8, 20], Operations: ['58-30=28', '28-8=20']
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,10 unequal: No Solution
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,10 unequal: No Solution
No 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: 10:[30, 8, 50], Operations: ['58-8=50']
Exploring Operation: 30-8=22, Resulting Numbers: [50, 22]
Generated Node #0,1,0: 10:[50, 22] Operation: 30-8=22
Exploring Operation: 50-30=20, Resulting Numbers: [8, 20]
Generated Node #0,1,1: 10:[8, 20] Operation: 50-30=20
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 10:[8, 20], Operations: ['58-8=50', '50-30=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,10 unequal: No Solution
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,10 unequal: No Solution
No 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: 10:[50, 22], Operations: ['58-8=50', '30-8=22']
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,10 unequal: No Solution
Exploring Operation: 50+22=72, Resulting Numbers: [72]
72,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
27,
71,
34,
47
] | 74 | [
"34+47=81",
"81/27=3",
"71+3=74"
] | Current State: 74:[27, 71, 34, 47], Operations: []
Exploring Operation: 34+47=81, Resulting Numbers: [27, 71, 81]
Generated Node #2: [27, 71, 81] from Operation: 34+47=81
Current State: 74:[27, 71, 81], Operations: ['34+47=81']
Exploring Operation: 81/27=3, Resulting Numbers: [71, 3]
Generated Node #3: [71, 3] from Operation: 81/27=3
Current State: 74:[71, 3], Operations: ['34+47=81', '81/27=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[27, 71, 34, 47], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [71, 47, 7]
Generated Node #0,0: 74:[71, 47, 7] Operation: 34-27=7
Exploring Operation: 27+47=74, Resulting Numbers: [71, 34, 74]
Generated Node #0,1: 74:[71, 34, 74] Operation: 27+47=74
Moving to Node #0,1
Current State: 74:[71, 34, 74], Operations: ['27+47=74']
Exploring Operation: 71-34=37, Resulting Numbers: [74, 37]
Generated Node #0,1,0: 74:[74, 37] Operation: 71-34=37
Exploring Operation: 74-71=3, Resulting Numbers: [34, 3]
Generated Node #0,1,1: 74:[34, 3] Operation: 74-71=3
Moving to Node #0,0
Current State: 74:[71, 47, 7], Operations: ['34-27=7']
Exploring Operation: 47-7=40, Resulting Numbers: [71, 40]
Generated Node #0,0,0: 74:[71, 40] Operation: 47-7=40
Exploring Operation: 71+7=78, Resulting Numbers: [47, 78]
Generated Node #0,0,1: 74:[47, 78] Operation: 71+7=78
Moving to Node #0,1,0
Current State: 74:[74, 37], Operations: ['27+47=74', '71-34=37']
Exploring Operation: 74/37=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 74-37=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[34, 3], Operations: ['27+47=74', '74-71=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Moving to Node #0,0,0
Current State: 74:[71, 40], Operations: ['34-27=7', '47-7=40']
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,74 unequal: No Solution
Moving to Node #0,0,1
Current State: 74:[47, 78], Operations: ['34-27=7', '71+7=78']
Exploring Operation: 47+78=125, Resulting Numbers: [125]
125,74 unequal: No Solution
Exploring Operation: 78-47=31, Resulting Numbers: [31]
31,74 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
13,
6,
34,
26
] | 15 | [
"13-6=7",
"34-26=8",
"7+8=15"
] | Current State: 15:[13, 6, 34, 26], Operations: []
Exploring Operation: 13-6=7, Resulting Numbers: [34, 26, 7]
Generated Node #2: [34, 26, 7] from Operation: 13-6=7
Current State: 15:[34, 26, 7], Operations: ['13-6=7']
Exploring Operation: 34-26=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 34-26=8
Current State: 15:[7, 8], Operations: ['13-6=7', '34-26=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[13, 6, 34, 26], Operations: []
Exploring Operation: 34-13=21, Resulting Numbers: [6, 26, 21]
Generated Node #0,0: 15:[6, 26, 21] Operation: 34-13=21
Exploring Operation: 26/13=2, Resulting Numbers: [6, 34, 2]
Generated Node #0,1: 15:[6, 34, 2] Operation: 26/13=2
Exploring Operation: 34-26=8, Resulting Numbers: [13, 6, 8]
Generated Node #0,2: 15:[13, 6, 8] Operation: 34-26=8
Moving to Node #0,2
Current State: 15:[13, 6, 8], Operations: ['34-26=8']
Exploring Operation: 6+8=14, Resulting Numbers: [13, 14]
Generated Node #0,2,0: 15:[13, 14] Operation: 6+8=14
Exploring Operation: 8-6=2, Resulting Numbers: [13, 2]
Generated Node #0,2,1: 15:[13, 2] Operation: 8-6=2
Exploring Operation: 13-8=5, Resulting Numbers: [6, 5]
Generated Node #0,2,2: 15:[6, 5] Operation: 13-8=5
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 15:[6, 5], Operations: ['34-26=8', '13-8=5']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[13, 14], Operations: ['34-26=8', '6+8=14']
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,15 unequal: No Solution
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[13, 2], Operations: ['34-26=8', '8-6=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[13, 6, 34, 26], Operations: []
Exploring Operation: 34-26=8, Resulting Numbers: [13, 6, 8]
Generated Node #0,2: 15:[13, 6, 8] Operation: 34-26=8
Moving to Node #0,2
Current State: 15:[13, 6, 8], Operations: ['34-26=8']
Exploring Operation: 8-6=2, Resulting Numbers: [13, 2]
Generated Node #0,2,1: 15:[13, 2] Operation: 8-6=2
Moving to Node #0,2,1
Current State: 15:[13, 2], Operations: ['34-26=8', '8-6=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
71,
1,
46,
74
] | 49 | [
"71*1=71",
"46+74=120",
"120-71=49"
] | Current State: 49:[71, 1, 46, 74], Operations: []
Exploring Operation: 71*1=71, Resulting Numbers: [46, 74, 71]
Generated Node #2: [46, 74, 71] from Operation: 71*1=71
Current State: 49:[46, 74, 71], Operations: ['71*1=71']
Exploring Operation: 46+74=120, Resulting Numbers: [71, 120]
Generated Node #3: [71, 120] from Operation: 46+74=120
Current State: 49:[71, 120], Operations: ['71*1=71', '46+74=120']
Exploring Operation: 120-71=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[71, 1, 46, 74], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [1, 46, 3]
Generated Node #0,0: 49:[1, 46, 3] Operation: 74-71=3
Exploring Operation: 71-46=25, Resulting Numbers: [1, 74, 25]
Generated Node #0,1: 49:[1, 74, 25] Operation: 71-46=25
Exploring Operation: 1+46=47, Resulting Numbers: [71, 74, 47]
Generated Node #0,2: 49:[71, 74, 47] Operation: 1+46=47
Exploring Operation: 71-1=70, Resulting Numbers: [46, 74, 70]
Generated Node #0,3: 49:[46, 74, 70] Operation: 71-1=70
Exploring Operation: 74-1=73, Resulting Numbers: [71, 46, 73]
Generated Node #0,4: 49:[71, 46, 73] Operation: 74-1=73
Moving to Node #0,0
Current State: 49:[1, 46, 3], Operations: ['74-71=3']
Exploring Operation: 46+3=49, Resulting Numbers: [1, 49]
Generated Node #0,0,0: 49:[1, 49] Operation: 46+3=49
Exploring Operation: 1+3=4, Resulting Numbers: [46, 4]
Generated Node #0,0,1: 49:[46, 4] Operation: 1+3=4
Exploring Operation: 46/1=46, Resulting Numbers: [3, 46]
Generated Node #0,0,2: 49:[3, 46] Operation: 46/1=46
Exploring Operation: 1+46=47, Resulting Numbers: [3, 47]
Generated Node #0,0,3: 49:[3, 47] Operation: 1+46=47
Exploring Operation: 1*46=46, Resulting Numbers: [3, 46]
Generated Node #0,0,4: 49:[3, 46] Operation: 1*46=46
Moving to Node #0,2
Current State: 49:[71, 74, 47], Operations: ['1+46=47']
Exploring Operation: 74+47=121, Resulting Numbers: [71, 121]
Generated Node #0,2,0: 49:[71, 121] Operation: 74+47=121
Exploring Operation: 71-47=24, Resulting Numbers: [74, 24]
Generated Node #0,2,1: 49:[74, 24] Operation: 71-47=24
Exploring Operation: 74-71=3, Resulting Numbers: [47, 3]
Generated Node #0,2,2: 49:[47, 3] Operation: 74-71=3
Exploring Operation: 74-47=27, Resulting Numbers: [71, 27]
Generated Node #0,2,3: 49:[71, 27] Operation: 74-47=27
Exploring Operation: 71+47=118, Resulting Numbers: [74, 118]
Generated Node #0,2,4: 49:[74, 118] Operation: 71+47=118
Moving to Node #0,4
Current State: 49:[71, 46, 73], Operations: ['74-1=73']
Exploring Operation: 73-46=27, Resulting Numbers: [71, 27]
Generated Node #0,4,0: 49:[71, 27] Operation: 73-46=27
Exploring Operation: 73-71=2, Resulting Numbers: [46, 2]
Generated Node #0,4,1: 49:[46, 2] Operation: 73-71=2
Exploring Operation: 71-46=25, Resulting Numbers: [73, 25]
Generated Node #0,4,2: 49:[73, 25] Operation: 71-46=25
Exploring Operation: 71+46=117, Resulting Numbers: [73, 117]
Generated Node #0,4,3: 49:[73, 117] Operation: 71+46=117
Exploring Operation: 46+73=119, Resulting Numbers: [71, 119]
Generated Node #0,4,4: 49:[71, 119] Operation: 46+73=119
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 49:[46, 2], Operations: ['74-1=73', '73-71=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,49 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 49:[71, 27], Operations: ['74-1=73', '73-46=27']
Exploring Operation: 71+27=98, Resulting Numbers: [98]
98,49 unequal: No Solution
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 71*27=1917, Resulting Numbers: [1917]
1917,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 49:[73, 25], Operations: ['74-1=73', '71-46=25']
Exploring Operation: 73*25=1825, Resulting Numbers: [1825]
1825,49 unequal: No Solution
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 73+25=98, Resulting Numbers: [98]
98,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 49:[73, 117], Operations: ['74-1=73', '71+46=117']
Exploring Operation: 117-73=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 73*117=8541, Resulting Numbers: [8541]
8541,49 unequal: No Solution
Exploring Operation: 73+117=190, Resulting Numbers: [190]
190,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 49:[71, 119], Operations: ['74-1=73', '46+73=119']
Exploring Operation: 71*119=8449, Resulting Numbers: [8449]
8449,49 unequal: No Solution
Exploring Operation: 119-71=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 71+119=190, Resulting Numbers: [190]
190,49 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: 49:[1, 74, 25], Operations: ['71-46=25']
Exploring Operation: 74/1=74, Resulting Numbers: [25, 74]
Generated Node #0,1,0: 49:[25, 74] Operation: 74/1=74
Exploring Operation: 74-1=73, Resulting Numbers: [25, 73]
Generated Node #0,1,1: 49:[25, 73] Operation: 74-1=73
Exploring Operation: 25-1=24, Resulting Numbers: [74, 24]
Generated Node #0,1,2: 49:[74, 24] Operation: 25-1=24
Exploring Operation: 1*74=74, Resulting Numbers: [25, 74]
Generated Node #0,1,3: 49:[25, 74] Operation: 1*74=74
Exploring Operation: 74-25=49, Resulting Numbers: [1, 49]
Generated Node #0,1,4: 49:[1, 49] Operation: 74-25=49
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 49:[1, 49], Operations: ['71-46=25', '74-25=49']
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[71, 1, 46, 74], Operations: []
Exploring Operation: 71-46=25, Resulting Numbers: [1, 74, 25]
Generated Node #0,1: 49:[1, 74, 25] Operation: 71-46=25
Moving to Node #0,1
Current State: 49:[1, 74, 25], Operations: ['71-46=25']
Exploring Operation: 74-25=49, Resulting Numbers: [1, 49]
Generated Node #0,1,4: 49:[1, 49] Operation: 74-25=49
Moving to Node #0,1,4
Current State: 49:[1, 49], Operations: ['71-46=25', '74-25=49']
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_5 | sum_heuristic |
[
25,
61,
3,
64
] | 56 | [
"64-25=39",
"3*39=117",
"117-61=56"
] | Current State: 56:[25, 61, 3, 64], Operations: []
Exploring Operation: 64-25=39, Resulting Numbers: [61, 3, 39]
Generated Node #2: [61, 3, 39] from Operation: 64-25=39
Current State: 56:[61, 3, 39], Operations: ['64-25=39']
Exploring Operation: 3*39=117, Resulting Numbers: [61, 117]
Generated Node #3: [61, 117] from Operation: 3*39=117
Current State: 56:[61, 117], Operations: ['64-25=39', '3*39=117']
Exploring Operation: 117-61=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[25, 61, 3, 64], Operations: []
Exploring Operation: 64-3=61, Resulting Numbers: [25, 61, 61]
Generated Node #0,0: 56:[25, 61, 61] Operation: 64-3=61
Exploring Operation: 25+3=28, Resulting Numbers: [61, 64, 28]
Generated Node #0,1: 56:[61, 64, 28] Operation: 25+3=28
Exploring Operation: 61-3=58, Resulting Numbers: [25, 64, 58]
Generated Node #0,2: 56:[25, 64, 58] Operation: 61-3=58
Exploring Operation: 64-61=3, Resulting Numbers: [25, 3, 3]
Generated Node #0,3: 56:[25, 3, 3] Operation: 64-61=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[25, 3, 3], Operations: ['64-61=3']
Exploring Operation: 25+3=28, Resulting Numbers: [3, 28]
Generated Node #0,3,0: 56:[3, 28] Operation: 25+3=28
Exploring Operation: 3+3=6, Resulting Numbers: [25, 6]
Generated Node #0,3,1: 56:[25, 6] Operation: 3+3=6
Exploring Operation: 3*3=9, Resulting Numbers: [25, 9]
Generated Node #0,3,2: 56:[25, 9] Operation: 3*3=9
Exploring Operation: 25+3=28, Resulting Numbers: [3, 28]
Generated Node #0,3,3: 56:[3, 28] Operation: 25+3=28
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 56:[3, 28], Operations: ['64-61=3', '25+3=28']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,56 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,56 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:[3, 28], Operations: ['64-61=3', '25+3=28']
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,56 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,56 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:[25, 6], Operations: ['64-61=3', '3+3=6']
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,56 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:[25, 9], Operations: ['64-61=3', '3*3=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,56 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 25*9=225, Resulting Numbers: [225]
225,56 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:[25, 61, 61], Operations: ['64-3=61']
Exploring Operation: 61/61=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 56:[25, 1] Operation: 61/61=1
Exploring Operation: 61-61=0, Resulting Numbers: [25, 0]
Generated Node #0,0,1: 56:[25, 0] Operation: 61-61=0
Exploring Operation: 61-25=36, Resulting Numbers: [61, 36]
Generated Node #0,0,2: 56:[61, 36] Operation: 61-25=36
Exploring Operation: 61-25=36, Resulting Numbers: [61, 36]
Generated Node #0,0,3: 56:[61, 36] Operation: 61-25=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[25, 1], Operations: ['64-3=61', '61/61=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,56 unequal: No Solution
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,56 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,56 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:[25, 0], Operations: ['64-3=61', '61-61=0']
Exploring Operation: 25+0=25, Resulting Numbers: [25]
25,56 unequal: No Solution
Exploring Operation: 25*0=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 25-0=25, Resulting Numbers: [25]
25,56 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:[61, 36], Operations: ['64-3=61', '61-25=36']
Exploring Operation: 61*36=2196, Resulting Numbers: [2196]
2196,56 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,56 unequal: No Solution
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,56 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 #0,0,3
Current State: 56:[61, 36], Operations: ['64-3=61', '61-25=36']
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,56 unequal: No Solution
Exploring Operation: 61*36=2196, Resulting Numbers: [2196]
2196,56 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,56 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:[61, 64, 28], Operations: ['25+3=28']
Exploring Operation: 61+28=89, Resulting Numbers: [64, 89]
Generated Node #0,1,0: 56:[64, 89] Operation: 61+28=89
Exploring Operation: 64-28=36, Resulting Numbers: [61, 36]
Generated Node #0,1,1: 56:[61, 36] Operation: 64-28=36
Exploring Operation: 61-28=33, Resulting Numbers: [64, 33]
Generated Node #0,1,2: 56:[64, 33] Operation: 61-28=33
Exploring Operation: 64-61=3, Resulting Numbers: [28, 3]
Generated Node #0,1,3: 56:[28, 3] Operation: 64-61=3
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 56:[28, 3], Operations: ['25+3=28', '64-61=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,56 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,56 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,56 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 #0,1,1
Current State: 56:[61, 36], Operations: ['25+3=28', '64-28=36']
Exploring Operation: 61*36=2196, Resulting Numbers: [2196]
2196,56 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,56 unequal: No Solution
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,56 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 #0,1,2
Current State: 56:[64, 33], Operations: ['25+3=28', '61-28=33']
Exploring Operation: 64+33=97, Resulting Numbers: [97]
97,56 unequal: No Solution
Exploring Operation: 64-33=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 64*33=2112, Resulting Numbers: [2112]
2112,56 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 #0,1,0
Current State: 56:[64, 89], Operations: ['25+3=28', '61+28=89']
Exploring Operation: 89-64=25, Resulting Numbers: [25]
25,56 unequal: No Solution
Exploring Operation: 64+89=153, Resulting Numbers: [153]
153,56 unequal: No Solution
Exploring Operation: 64*89=5696, Resulting Numbers: [5696]
5696,56 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 #0,2
Current State: 56:[25, 64, 58], Operations: ['61-3=58']
Exploring Operation: 64-58=6, Resulting Numbers: [25, 6]
Generated Node #0,2,0: 56:[25, 6] Operation: 64-58=6
Exploring Operation: 64-25=39, Resulting Numbers: [58, 39]
Generated Node #0,2,1: 56:[58, 39] Operation: 64-25=39
Exploring Operation: 25+64=89, Resulting Numbers: [58, 89]
Generated Node #0,2,2: 56:[58, 89] Operation: 25+64=89
Exploring Operation: 58-25=33, Resulting Numbers: [64, 33]
Generated Node #0,2,3: 56:[64, 33] Operation: 58-25=33
Moving to Node #0,2,0
Current State: 56:[25, 6], Operations: ['61-3=58', '64-58=6']
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,56 unequal: No Solution
Moving to Node #0,2,3
Current State: 56:[64, 33], Operations: ['61-3=58', '58-25=33']
Exploring Operation: 64*33=2112, Resulting Numbers: [2112]
2112,56 unequal: No Solution
Exploring Operation: 64-33=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 64+33=97, Resulting Numbers: [97]
97,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[58, 39], Operations: ['61-3=58', '64-25=39']
Exploring Operation: 58*39=2262, Resulting Numbers: [2262]
2262,56 unequal: No Solution
Exploring Operation: 58-39=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 58+39=97, Resulting Numbers: [97]
97,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[58, 89], Operations: ['61-3=58', '25+64=89']
Exploring Operation: 89-58=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 58+89=147, Resulting Numbers: [147]
147,56 unequal: No Solution
Exploring Operation: 58*89=5162, Resulting Numbers: [5162]
5162,56 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 |
[
2,
44,
41,
94
] | 93 | [
"44-2=42",
"41+94=135",
"135-42=93"
] | Current State: 93:[2, 44, 41, 94], Operations: []
Exploring Operation: 44-2=42, Resulting Numbers: [41, 94, 42]
Generated Node #2: [41, 94, 42] from Operation: 44-2=42
Current State: 93:[41, 94, 42], Operations: ['44-2=42']
Exploring Operation: 41+94=135, Resulting Numbers: [42, 135]
Generated Node #3: [42, 135] from Operation: 41+94=135
Current State: 93:[42, 135], Operations: ['44-2=42', '41+94=135']
Exploring Operation: 135-42=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[2, 44, 41, 94], Operations: []
Exploring Operation: 44-2=42, Resulting Numbers: [41, 94, 42]
Generated Node #0,0: 93:[41, 94, 42] Operation: 44-2=42
Exploring Operation: 2*44=88, Resulting Numbers: [41, 94, 88]
Generated Node #0,1: 93:[41, 94, 88] Operation: 2*44=88
Exploring Operation: 44-41=3, Resulting Numbers: [2, 94, 3]
Generated Node #0,2: 93:[2, 94, 3] Operation: 44-41=3
Exploring Operation: 44/2=22, Resulting Numbers: [41, 94, 22]
Generated Node #0,3: 93:[41, 94, 22] Operation: 44/2=22
Exploring Operation: 44+41=85, Resulting Numbers: [2, 94, 85]
Generated Node #0,4: 93:[2, 94, 85] Operation: 44+41=85
Moving to Node #0,2
Current State: 93:[2, 94, 3], Operations: ['44-41=3']
Exploring Operation: 94-2=92, Resulting Numbers: [3, 92]
Generated Node #0,2,0: 93:[3, 92] Operation: 94-2=92
Exploring Operation: 2+94=96, Resulting Numbers: [3, 96]
Generated Node #0,2,1: 93:[3, 96] Operation: 2+94=96
Exploring Operation: 3-2=1, Resulting Numbers: [94, 1]
Generated Node #0,2,2: 93:[94, 1] Operation: 3-2=1
Exploring Operation: 94-3=91, Resulting Numbers: [2, 91]
Generated Node #0,2,3: 93:[2, 91] Operation: 94-3=91
Exploring Operation: 2+3=5, Resulting Numbers: [94, 5]
Generated Node #0,2,4: 93:[94, 5] Operation: 2+3=5
Moving to Node #0,4
Current State: 93:[2, 94, 85], Operations: ['44+41=85']
Exploring Operation: 94-2=92, Resulting Numbers: [85, 92]
Generated Node #0,4,0: 93:[85, 92] Operation: 94-2=92
Exploring Operation: 2+94=96, Resulting Numbers: [85, 96]
Generated Node #0,4,1: 93:[85, 96] Operation: 2+94=96
Exploring Operation: 94-85=9, Resulting Numbers: [2, 9]
Generated Node #0,4,2: 93:[2, 9] Operation: 94-85=9
Exploring Operation: 85-2=83, Resulting Numbers: [94, 83]
Generated Node #0,4,3: 93:[94, 83] Operation: 85-2=83
Exploring Operation: 2+85=87, Resulting Numbers: [94, 87]
Generated Node #0,4,4: 93:[94, 87] Operation: 2+85=87
Moving to Node #0,1
Current State: 93:[41, 94, 88], Operations: ['2*44=88']
Exploring Operation: 88-41=47, Resulting Numbers: [94, 47]
Generated Node #0,1,0: 93:[94, 47] Operation: 88-41=47
Exploring Operation: 41+88=129, Resulting Numbers: [94, 129]
Generated Node #0,1,1: 93:[94, 129] Operation: 41+88=129
Exploring Operation: 94-88=6, Resulting Numbers: [41, 6]
Generated Node #0,1,2: 93:[41, 6] Operation: 94-88=6
Exploring Operation: 94-41=53, Resulting Numbers: [88, 53]
Generated Node #0,1,3: 93:[88, 53] Operation: 94-41=53
Exploring Operation: 41+94=135, Resulting Numbers: [88, 135]
Generated Node #0,1,4: 93:[88, 135] Operation: 41+94=135
Moving to Node #0,3
Current State: 93:[41, 94, 22], Operations: ['44/2=22']
Exploring Operation: 41+22=63, Resulting Numbers: [94, 63]
Generated Node #0,3,0: 93:[94, 63] Operation: 41+22=63
Exploring Operation: 94+22=116, Resulting Numbers: [41, 116]
Generated Node #0,3,1: 93:[41, 116] Operation: 94+22=116
Exploring Operation: 41-22=19, Resulting Numbers: [94, 19]
Generated Node #0,3,2: 93:[94, 19] Operation: 41-22=19
Exploring Operation: 94-22=72, Resulting Numbers: [41, 72]
Generated Node #0,3,3: 93:[41, 72] Operation: 94-22=72
Exploring Operation: 94-41=53, Resulting Numbers: [22, 53]
Generated Node #0,3,4: 93:[22, 53] Operation: 94-41=53
Moving to Node #0,0
Current State: 93:[41, 94, 42], Operations: ['44-2=42']
Exploring Operation: 41+42=83, Resulting Numbers: [94, 83]
Generated Node #0,0,0: 93:[94, 83] Operation: 41+42=83
Exploring Operation: 94-41=53, Resulting Numbers: [42, 53]
Generated Node #0,0,1: 93:[42, 53] Operation: 94-41=53
Exploring Operation: 94-42=52, Resulting Numbers: [41, 52]
Generated Node #0,0,2: 93:[41, 52] Operation: 94-42=52
Exploring Operation: 41+94=135, Resulting Numbers: [42, 135]
Generated Node #0,0,3: 93:[42, 135] Operation: 41+94=135
Exploring Operation: 42-41=1, Resulting Numbers: [94, 1]
Generated Node #0,0,4: 93:[94, 1] Operation: 42-41=1
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 93:[94, 1], Operations: ['44-2=42', '42-41=1']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[2, 44, 41, 94], Operations: []
Exploring Operation: 44-2=42, Resulting Numbers: [41, 94, 42]
Generated Node #0,0: 93:[41, 94, 42] Operation: 44-2=42
Moving to Node #0,0
Current State: 93:[41, 94, 42], Operations: ['44-2=42']
Exploring Operation: 42-41=1, Resulting Numbers: [94, 1]
Generated Node #0,0,4: 93:[94, 1] Operation: 42-41=1
Moving to Node #0,0,4
Current State: 93:[94, 1], Operations: ['44-2=42', '42-41=1']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_5 | mult_heuristic |
[
58,
22,
3,
89
] | 12 | [
"58+22=80",
"3+89=92",
"92-80=12"
] | Current State: 12:[58, 22, 3, 89], Operations: []
Exploring Operation: 58+22=80, Resulting Numbers: [3, 89, 80]
Generated Node #2: [3, 89, 80] from Operation: 58+22=80
Current State: 12:[3, 89, 80], Operations: ['58+22=80']
Exploring Operation: 3+89=92, Resulting Numbers: [80, 92]
Generated Node #3: [80, 92] from Operation: 3+89=92
Current State: 12:[80, 92], Operations: ['58+22=80', '3+89=92']
Exploring Operation: 92-80=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[58, 22, 3, 89], Operations: []
Exploring Operation: 89-58=31, Resulting Numbers: [22, 3, 31]
Generated Node #0,0: 12:[22, 3, 31] Operation: 89-58=31
Exploring Operation: 89-22=67, Resulting Numbers: [58, 3, 67]
Generated Node #0,1: 12:[58, 3, 67] Operation: 89-22=67
Exploring Operation: 58-22=36, Resulting Numbers: [3, 89, 36]
Generated Node #0,2: 12:[3, 89, 36] Operation: 58-22=36
Moving to Node #0,0
Current State: 12:[22, 3, 31], Operations: ['89-58=31']
Exploring Operation: 31-22=9, Resulting Numbers: [3, 9]
Generated Node #0,0,0: 12:[3, 9] Operation: 31-22=9
Exploring Operation: 22-3=19, Resulting Numbers: [31, 19]
Generated Node #0,0,1: 12:[31, 19] Operation: 22-3=19
Exploring Operation: 31-3=28, Resulting Numbers: [22, 28]
Generated Node #0,0,2: 12:[22, 28] Operation: 31-3=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[3, 9], Operations: ['89-58=31', '31-22=9']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[58, 22, 3, 89], Operations: []
Exploring Operation: 89-58=31, Resulting Numbers: [22, 3, 31]
Generated Node #0,0: 12:[22, 3, 31] Operation: 89-58=31
Moving to Node #0,0
Current State: 12:[22, 3, 31], Operations: ['89-58=31']
Exploring Operation: 31-22=9, Resulting Numbers: [3, 9]
Generated Node #0,0,0: 12:[3, 9] Operation: 31-22=9
Moving to Node #0,0,0
Current State: 12:[3, 9], Operations: ['89-58=31', '31-22=9']
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
13,
12,
57,
54
] | 93 | [
"13*57=741",
"12*54=648",
"741-648=93"
] | Current State: 93:[13, 12, 57, 54], Operations: []
Exploring Operation: 13*57=741, Resulting Numbers: [12, 54, 741]
Generated Node #2: [12, 54, 741] from Operation: 13*57=741
Current State: 93:[12, 54, 741], Operations: ['13*57=741']
Exploring Operation: 12*54=648, Resulting Numbers: [741, 648]
Generated Node #3: [741, 648] from Operation: 12*54=648
Current State: 93:[741, 648], Operations: ['13*57=741', '12*54=648']
Exploring Operation: 741-648=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[13, 12, 57, 54], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [13, 12, 3]
Generated Node #0,0: 93:[13, 12, 3] Operation: 57-54=3
Exploring Operation: 54-13=41, Resulting Numbers: [12, 57, 41]
Generated Node #0,1: 93:[12, 57, 41] Operation: 54-13=41
Exploring Operation: 57-12=45, Resulting Numbers: [13, 54, 45]
Generated Node #0,2: 93:[13, 54, 45] Operation: 57-12=45
Exploring Operation: 57-13=44, Resulting Numbers: [12, 54, 44]
Generated Node #0,3: 93:[12, 54, 44] Operation: 57-13=44
Exploring Operation: 57+54=111, Resulting Numbers: [13, 12, 111]
Generated Node #0,4: 93:[13, 12, 111] Operation: 57+54=111
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[13, 12, 3], Operations: ['57-54=3']
Exploring Operation: 13+12=25, Resulting Numbers: [3, 25]
Generated Node #0,0,0: 93:[3, 25] Operation: 13+12=25
Exploring Operation: 12/3=4, Resulting Numbers: [13, 4]
Generated Node #0,0,1: 93:[13, 4] Operation: 12/3=4
Exploring Operation: 13-3=10, Resulting Numbers: [12, 10]
Generated Node #0,0,2: 93:[12, 10] Operation: 13-3=10
Exploring Operation: 13-12=1, Resulting Numbers: [3, 1]
Generated Node #0,0,3: 93:[3, 1] Operation: 13-12=1
Exploring Operation: 12*3=36, Resulting Numbers: [13, 36]
Generated Node #0,0,4: 93:[13, 36] Operation: 12*3=36
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 93:[3, 1], Operations: ['57-54=3', '13-12=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,93 unequal: No Solution
No 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: 93:[3, 25], Operations: ['57-54=3', '13+12=25']
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,93 unequal: No Solution
No 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: 93:[13, 4], Operations: ['57-54=3', '12/3=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,93 unequal: No Solution
No 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: 93:[13, 36], Operations: ['57-54=3', '12*3=36']
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,93 unequal: No Solution
Exploring Operation: 13*36=468, Resulting Numbers: [468]
468,93 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,93 unequal: No Solution
No 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: 93:[12, 10], Operations: ['57-54=3', '13-3=10']
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 12*10=120, Resulting Numbers: [120]
120,93 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,93 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: 93:[13, 12, 111], Operations: ['57+54=111']
Exploring Operation: 13+12=25, Resulting Numbers: [111, 25]
Generated Node #0,4,0: 93:[111, 25] Operation: 13+12=25
Exploring Operation: 13-12=1, Resulting Numbers: [111, 1]
Generated Node #0,4,1: 93:[111, 1] Operation: 13-12=1
Exploring Operation: 13+111=124, Resulting Numbers: [12, 124]
Generated Node #0,4,2: 93:[12, 124] Operation: 13+111=124
Exploring Operation: 111-13=98, Resulting Numbers: [12, 98]
Generated Node #0,4,3: 93:[12, 98] Operation: 111-13=98
Exploring Operation: 111-12=99, Resulting Numbers: [13, 99]
Generated Node #0,4,4: 93:[13, 99] Operation: 111-12=99
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 93:[12, 98], Operations: ['57+54=111', '111-13=98']
Exploring Operation: 12*98=1176, Resulting Numbers: [1176]
1176,93 unequal: No Solution
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Exploring Operation: 12+98=110, Resulting Numbers: [110]
110,93 unequal: No Solution
No 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: 93:[13, 99], Operations: ['57+54=111', '111-12=99']
Exploring Operation: 13*99=1287, Resulting Numbers: [1287]
1287,93 unequal: No Solution
Exploring Operation: 13+99=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Exploring Operation: 99-13=86, Resulting Numbers: [86]
86,93 unequal: No Solution
No 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: 93:[111, 1], Operations: ['57+54=111', '13-12=1']
Exploring Operation: 111-1=110, Resulting Numbers: [110]
110,93 unequal: No Solution
Exploring Operation: 111+1=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Exploring Operation: 111*1=111, Resulting Numbers: [111]
111,93 unequal: No Solution
Exploring Operation: 111/1=111, Resulting Numbers: [111]
111,93 unequal: No Solution
No 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: 93:[111, 25], Operations: ['57+54=111', '13+12=25']
Exploring Operation: 111-25=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Exploring Operation: 111+25=136, Resulting Numbers: [136]
136,93 unequal: No Solution
Exploring Operation: 111*25=2775, Resulting Numbers: [2775]
2775,93 unequal: No Solution
No 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: 93:[12, 124], Operations: ['57+54=111', '13+111=124']
Exploring Operation: 12+124=136, Resulting Numbers: [136]
136,93 unequal: No Solution
Exploring Operation: 124-12=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Exploring Operation: 12*124=1488, Resulting Numbers: [1488]
1488,93 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: 93:[12, 57, 41], Operations: ['54-13=41']
Exploring Operation: 57+41=98, Resulting Numbers: [12, 98]
Generated Node #0,1,0: 93:[12, 98] Operation: 57+41=98
Exploring Operation: 57-41=16, Resulting Numbers: [12, 16]
Generated Node #0,1,1: 93:[12, 16] Operation: 57-41=16
Exploring Operation: 12+57=69, Resulting Numbers: [41, 69]
Generated Node #0,1,2: 93:[41, 69] Operation: 12+57=69
Exploring Operation: 41-12=29, Resulting Numbers: [57, 29]
Generated Node #0,1,3: 93:[57, 29] Operation: 41-12=29
Exploring Operation: 57-12=45, Resulting Numbers: [41, 45]
Generated Node #0,1,4: 93:[41, 45] Operation: 57-12=45
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[12, 98], Operations: ['54-13=41', '57+41=98']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Exploring Operation: 12*98=1176, Resulting Numbers: [1176]
1176,93 unequal: No Solution
Exploring Operation: 12+98=110, Resulting Numbers: [110]
110,93 unequal: No Solution
No 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: 93:[12, 16], Operations: ['54-13=41', '57-41=16']
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 93:[41, 45], Operations: ['54-13=41', '57-12=45']
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 41*45=1845, Resulting Numbers: [1845]
1845,93 unequal: No Solution
Exploring Operation: 41+45=86, Resulting Numbers: [86]
86,93 unequal: No Solution
No 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: 93:[57, 29], Operations: ['54-13=41', '41-12=29']
Exploring Operation: 57-29=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Exploring Operation: 57+29=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Exploring Operation: 57*29=1653, Resulting Numbers: [1653]
1653,93 unequal: No Solution
No 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: 93:[41, 69], Operations: ['54-13=41', '12+57=69']
Exploring Operation: 41+69=110, Resulting Numbers: [110]
110,93 unequal: No Solution
Exploring Operation: 41*69=2829, Resulting Numbers: [2829]
2829,93 unequal: No Solution
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,93 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: 93:[12, 54, 44], Operations: ['57-13=44']
Exploring Operation: 54+44=98, Resulting Numbers: [12, 98]
Generated Node #0,3,0: 93:[12, 98] Operation: 54+44=98
Exploring Operation: 54-12=42, Resulting Numbers: [44, 42]
Generated Node #0,3,1: 93:[44, 42] Operation: 54-12=42
Exploring Operation: 54-44=10, Resulting Numbers: [12, 10]
Generated Node #0,3,2: 93:[12, 10] Operation: 54-44=10
Exploring Operation: 12+54=66, Resulting Numbers: [44, 66]
Generated Node #0,3,3: 93:[44, 66] Operation: 12+54=66
Exploring Operation: 44-12=32, Resulting Numbers: [54, 32]
Generated Node #0,3,4: 93:[54, 32] Operation: 44-12=32
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 93:[12, 98], Operations: ['57-13=44', '54+44=98']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Exploring Operation: 12*98=1176, Resulting Numbers: [1176]
1176,93 unequal: No Solution
Exploring Operation: 12+98=110, Resulting Numbers: [110]
110,93 unequal: No Solution
No 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: 93:[12, 10], Operations: ['57-13=44', '54-44=10']
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 12*10=120, Resulting Numbers: [120]
120,93 unequal: No Solution
No 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: 93:[44, 42], Operations: ['57-13=44', '54-12=42']
Exploring Operation: 44*42=1848, Resulting Numbers: [1848]
1848,93 unequal: No Solution
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,93 unequal: No Solution
No 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: 93:[54, 32], Operations: ['57-13=44', '44-12=32']
Exploring Operation: 54*32=1728, Resulting Numbers: [1728]
1728,93 unequal: No Solution
Exploring Operation: 54-32=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 54+32=86, Resulting Numbers: [86]
86,93 unequal: No Solution
No 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: 93:[44, 66], Operations: ['57-13=44', '12+54=66']
Exploring Operation: 44*66=2904, Resulting Numbers: [2904]
2904,93 unequal: No Solution
Exploring Operation: 66-44=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 44+66=110, Resulting Numbers: [110]
110,93 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: 93:[13, 54, 45], Operations: ['57-12=45']
Exploring Operation: 13+54=67, Resulting Numbers: [45, 67]
Generated Node #0,2,0: 93:[45, 67] Operation: 13+54=67
Exploring Operation: 54-45=9, Resulting Numbers: [13, 9]
Generated Node #0,2,1: 93:[13, 9] Operation: 54-45=9
Exploring Operation: 45-13=32, Resulting Numbers: [54, 32]
Generated Node #0,2,2: 93:[54, 32] Operation: 45-13=32
Exploring Operation: 54+45=99, Resulting Numbers: [13, 99]
Generated Node #0,2,3: 93:[13, 99] Operation: 54+45=99
Exploring Operation: 54-13=41, Resulting Numbers: [45, 41]
Generated Node #0,2,4: 93:[45, 41] Operation: 54-13=41
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 93:[13, 9], Operations: ['57-12=45', '54-45=9']
Exploring Operation: 13+9=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 13*9=117, Resulting Numbers: [117]
117,93 unequal: No Solution
No 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: 93:[13, 99], Operations: ['57-12=45', '54+45=99']
Exploring Operation: 99-13=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Exploring Operation: 13*99=1287, Resulting Numbers: [1287]
1287,93 unequal: No Solution
Exploring Operation: 13+99=112, Resulting Numbers: [112]
112,93 unequal: No Solution
No 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: 93:[54, 32], Operations: ['57-12=45', '45-13=32']
Exploring Operation: 54-32=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 54+32=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Exploring Operation: 54*32=1728, Resulting Numbers: [1728]
1728,93 unequal: No Solution
No 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: 93:[45, 41], Operations: ['57-12=45', '54-13=41']
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 45*41=1845, Resulting Numbers: [1845]
1845,93 unequal: No Solution
Exploring Operation: 45+41=86, Resulting Numbers: [86]
86,93 unequal: No Solution
No 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: 93:[45, 67], Operations: ['57-12=45', '13+54=67']
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 45*67=3015, Resulting Numbers: [3015]
3015,93 unequal: No Solution
Exploring Operation: 45+67=112, Resulting Numbers: [112]
112,93 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 |
[
37,
7,
39,
48
] | 74 | [
"7+39=46",
"48-46=2",
"37*2=74"
] | Current State: 74:[37, 7, 39, 48], Operations: []
Exploring Operation: 7+39=46, Resulting Numbers: [37, 48, 46]
Generated Node #2: [37, 48, 46] from Operation: 7+39=46
Current State: 74:[37, 48, 46], Operations: ['7+39=46']
Exploring Operation: 48-46=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 48-46=2
Current State: 74:[37, 2], Operations: ['7+39=46', '48-46=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[37, 7, 39, 48], Operations: []
Exploring Operation: 48-39=9, Resulting Numbers: [37, 7, 9]
Generated Node #0,0: 74:[37, 7, 9] Operation: 48-39=9
Exploring Operation: 48-7=41, Resulting Numbers: [37, 39, 41]
Generated Node #0,1: 74:[37, 39, 41] Operation: 48-7=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[37, 39, 41], Operations: ['48-7=41']
Exploring Operation: 39-37=2, Resulting Numbers: [41, 2]
Generated Node #0,1,0: 74:[41, 2] Operation: 39-37=2
Exploring Operation: 41-39=2, Resulting Numbers: [37, 2]
Generated Node #0,1,1: 74:[37, 2] Operation: 41-39=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[37, 2], Operations: ['48-7=41', '41-39=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[37, 7, 39, 48], Operations: []
Exploring Operation: 48-7=41, Resulting Numbers: [37, 39, 41]
Generated Node #0,1: 74:[37, 39, 41] Operation: 48-7=41
Moving to Node #0,1
Current State: 74:[37, 39, 41], Operations: ['48-7=41']
Exploring Operation: 41-39=2, Resulting Numbers: [37, 2]
Generated Node #0,1,1: 74:[37, 2] Operation: 41-39=2
Moving to Node #0,1,1
Current State: 74:[37, 2], Operations: ['48-7=41', '41-39=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
46,
74,
60,
91
] | 93 | [
"46+74=120",
"120/60=2",
"91+2=93"
] | Current State: 93:[46, 74, 60, 91], Operations: []
Exploring Operation: 46+74=120, Resulting Numbers: [60, 91, 120]
Generated Node #2: [60, 91, 120] from Operation: 46+74=120
Current State: 93:[60, 91, 120], Operations: ['46+74=120']
Exploring Operation: 120/60=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 120/60=2
Current State: 93:[91, 2], Operations: ['46+74=120', '120/60=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[46, 74, 60, 91], Operations: []
Exploring Operation: 74-60=14, Resulting Numbers: [46, 91, 14]
Generated Node #0,0: 93:[46, 91, 14] Operation: 74-60=14
Exploring Operation: 60-46=14, Resulting Numbers: [74, 91, 14]
Generated Node #0,1: 93:[74, 91, 14] Operation: 60-46=14
Moving to Node #0,0
Current State: 93:[46, 91, 14], Operations: ['74-60=14']
Exploring Operation: 46-14=32, Resulting Numbers: [91, 32]
Generated Node #0,0,0: 93:[91, 32] Operation: 46-14=32
Exploring Operation: 91-46=45, Resulting Numbers: [14, 45]
Generated Node #0,0,1: 93:[14, 45] Operation: 91-46=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[91, 32], Operations: ['74-60=14', '46-14=32']
Exploring Operation: 91+32=123, Resulting Numbers: [123]
123,93 unequal: No Solution
Exploring Operation: 91-32=59, Resulting Numbers: [59]
59,93 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 #0,0,1
Current State: 93:[14, 45], Operations: ['74-60=14', '91-46=45']
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,93 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,93 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: 93:[74, 91, 14], Operations: ['60-46=14']
Exploring Operation: 74+14=88, Resulting Numbers: [91, 88]
Generated Node #0,1,0: 93:[91, 88] Operation: 74+14=88
Exploring Operation: 91-74=17, Resulting Numbers: [14, 17]
Generated Node #0,1,1: 93:[14, 17] Operation: 91-74=17
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[91, 88], Operations: ['60-46=14', '74+14=88']
Exploring Operation: 91+88=179, Resulting Numbers: [179]
179,93 unequal: No Solution
Exploring Operation: 91-88=3, Resulting Numbers: [3]
3,93 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:[14, 17], Operations: ['60-46=14', '91-74=17']
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,93 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,93 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 |
[
24,
6,
19,
34
] | 56 | [
"24+34=58",
"6*19=114",
"114-58=56"
] | Current State: 56:[24, 6, 19, 34], Operations: []
Exploring Operation: 24+34=58, Resulting Numbers: [6, 19, 58]
Generated Node #2: [6, 19, 58] from Operation: 24+34=58
Current State: 56:[6, 19, 58], Operations: ['24+34=58']
Exploring Operation: 6*19=114, Resulting Numbers: [58, 114]
Generated Node #3: [58, 114] from Operation: 6*19=114
Current State: 56:[58, 114], Operations: ['24+34=58', '6*19=114']
Exploring Operation: 114-58=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[24, 6, 19, 34], Operations: []
Exploring Operation: 34-19=15, Resulting Numbers: [24, 6, 15]
Generated Node #0,0: 56:[24, 6, 15] Operation: 34-19=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[24, 6, 15], Operations: ['34-19=15']
Exploring Operation: 24/6=4, Resulting Numbers: [15, 4]
Generated Node #0,0,0: 56:[15, 4] Operation: 24/6=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[15, 4], Operations: ['34-19=15', '24/6=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,56 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_1 | sum_heuristic |
[
53,
51,
14,
97
] | 81 | [
"53-51=2",
"97-14=83",
"83-2=81"
] | Current State: 81:[53, 51, 14, 97], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [14, 97, 2]
Generated Node #2: [14, 97, 2] from Operation: 53-51=2
Current State: 81:[14, 97, 2], Operations: ['53-51=2']
Exploring Operation: 97-14=83, Resulting Numbers: [2, 83]
Generated Node #3: [2, 83] from Operation: 97-14=83
Current State: 81:[2, 83], Operations: ['53-51=2', '97-14=83']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[53, 51, 14, 97], Operations: []
Exploring Operation: 53+51=104, Resulting Numbers: [14, 97, 104]
Generated Node #0,0: 81:[14, 97, 104] Operation: 53+51=104
Exploring Operation: 53-51=2, Resulting Numbers: [14, 97, 2]
Generated Node #0,1: 81:[14, 97, 2] Operation: 53-51=2
Moving to Node #0,1
Current State: 81:[14, 97, 2], Operations: ['53-51=2']
Exploring Operation: 97-14=83, Resulting Numbers: [2, 83]
Generated Node #0,1,0: 81:[2, 83] Operation: 97-14=83
Exploring Operation: 14*2=28, Resulting Numbers: [97, 28]
Generated Node #0,1,1: 81:[97, 28] Operation: 14*2=28
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[2, 83], Operations: ['53-51=2', '97-14=83']
Exploring Operation: 2+83=85, Resulting Numbers: [85]
85,81 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[53, 51, 14, 97], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [14, 97, 2]
Generated Node #0,1: 81:[14, 97, 2] Operation: 53-51=2
Moving to Node #0,1
Current State: 81:[14, 97, 2], Operations: ['53-51=2']
Exploring Operation: 97-14=83, Resulting Numbers: [2, 83]
Generated Node #0,1,0: 81:[2, 83] Operation: 97-14=83
Moving to Node #0,1,0
Current State: 81:[2, 83], Operations: ['53-51=2', '97-14=83']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
29,
56,
54,
35
] | 23 | [
"56-54=2",
"29*2=58",
"58-35=23"
] | Current State: 23:[29, 56, 54, 35], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [29, 35, 2]
Generated Node #2: [29, 35, 2] from Operation: 56-54=2
Current State: 23:[29, 35, 2], Operations: ['56-54=2']
Exploring Operation: 29*2=58, Resulting Numbers: [35, 58]
Generated Node #3: [35, 58] from Operation: 29*2=58
Current State: 23:[35, 58], Operations: ['56-54=2', '29*2=58']
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[29, 56, 54, 35], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [29, 35, 2]
Generated Node #0,0: 23:[29, 35, 2] Operation: 56-54=2
Exploring Operation: 56-35=21, Resulting Numbers: [29, 54, 21]
Generated Node #0,1: 23:[29, 54, 21] Operation: 56-35=21
Moving to Node #0,0
Current State: 23:[29, 35, 2], Operations: ['56-54=2']
Exploring Operation: 35-2=33, Resulting Numbers: [29, 33]
Generated Node #0,0,0: 23:[29, 33] Operation: 35-2=33
Exploring Operation: 29-2=27, Resulting Numbers: [35, 27]
Generated Node #0,0,1: 23:[35, 27] Operation: 29-2=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[29, 33], Operations: ['56-54=2', '35-2=33']
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 23:[35, 27], Operations: ['56-54=2', '29-2=27']
Exploring Operation: 35+27=62, Resulting Numbers: [62]
62,23 unequal: No Solution
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 23:[29, 54, 21], Operations: ['56-35=21']
Exploring Operation: 54-21=33, Resulting Numbers: [29, 33]
Generated Node #0,1,0: 23:[29, 33] Operation: 54-21=33
Exploring Operation: 54-29=25, Resulting Numbers: [21, 25]
Generated Node #0,1,1: 23:[21, 25] Operation: 54-29=25
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 23:[21, 25], Operations: ['56-35=21', '54-29=25']
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 21+25=46, Resulting Numbers: [46]
46,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[29, 33], Operations: ['56-35=21', '54-21=33']
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,23 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 |
[
96,
20,
1,
94
] | 23 | [
"96+20=116",
"94-1=93",
"116-93=23"
] | Current State: 23:[96, 20, 1, 94], Operations: []
Exploring Operation: 96+20=116, Resulting Numbers: [1, 94, 116]
Generated Node #2: [1, 94, 116] from Operation: 96+20=116
Current State: 23:[1, 94, 116], Operations: ['96+20=116']
Exploring Operation: 94-1=93, Resulting Numbers: [116, 93]
Generated Node #3: [116, 93] from Operation: 94-1=93
Current State: 23:[116, 93], Operations: ['96+20=116', '94-1=93']
Exploring Operation: 116-93=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[96, 20, 1, 94], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [20, 1, 2]
Generated Node #0,0: 23:[20, 1, 2] Operation: 96-94=2
Exploring Operation: 96-20=76, Resulting Numbers: [1, 94, 76]
Generated Node #0,1: 23:[1, 94, 76] Operation: 96-20=76
Moving to Node #0,0
Current State: 23:[20, 1, 2], Operations: ['96-94=2']
Exploring Operation: 20+1=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 23:[2, 21] Operation: 20+1=21
Exploring Operation: 20+2=22, Resulting Numbers: [1, 22]
Generated Node #0,0,1: 23:[1, 22] Operation: 20+2=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[2, 21], Operations: ['96-94=2', '20+1=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[96, 20, 1, 94], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [20, 1, 2]
Generated Node #0,0: 23:[20, 1, 2] Operation: 96-94=2
Moving to Node #0,0
Current State: 23:[20, 1, 2], Operations: ['96-94=2']
Exploring Operation: 20+1=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 23:[2, 21] Operation: 20+1=21
Moving to Node #0,0,0
Current State: 23:[2, 21], Operations: ['96-94=2', '20+1=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
45,
63,
46,
2
] | 66 | [
"63-45=18",
"46+2=48",
"18+48=66"
] | Current State: 66:[45, 63, 46, 2], Operations: []
Exploring Operation: 63-45=18, Resulting Numbers: [46, 2, 18]
Generated Node #2: [46, 2, 18] from Operation: 63-45=18
Current State: 66:[46, 2, 18], Operations: ['63-45=18']
Exploring Operation: 46+2=48, Resulting Numbers: [18, 48]
Generated Node #3: [18, 48] from Operation: 46+2=48
Current State: 66:[18, 48], Operations: ['63-45=18', '46+2=48']
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[45, 63, 46, 2], Operations: []
Exploring Operation: 46-45=1, Resulting Numbers: [63, 2, 1]
Generated Node #0,0: 66:[63, 2, 1] Operation: 46-45=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[63, 2, 1], Operations: ['46-45=1']
Exploring Operation: 63+2=65, Resulting Numbers: [1, 65]
Generated Node #0,0,0: 66:[1, 65] Operation: 63+2=65
Moving to Node #0,0,0
Current State: 66:[1, 65], Operations: ['46-45=1', '63+2=65']
Exploring Operation: 1+65=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[45, 63, 46, 2], Operations: []
Exploring Operation: 46-45=1, Resulting Numbers: [63, 2, 1]
Generated Node #0,0: 66:[63, 2, 1] Operation: 46-45=1
Moving to Node #0,0
Current State: 66:[63, 2, 1], Operations: ['46-45=1']
Exploring Operation: 63+2=65, Resulting Numbers: [1, 65]
Generated Node #0,0,0: 66:[1, 65] Operation: 63+2=65
Moving to Node #0,0,0
Current State: 66:[1, 65], Operations: ['46-45=1', '63+2=65']
Exploring Operation: 1+65=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
55,
28,
24,
85
] | 88 | [
"55-28=27",
"85-24=61",
"27+61=88"
] | Current State: 88:[55, 28, 24, 85], Operations: []
Exploring Operation: 55-28=27, Resulting Numbers: [24, 85, 27]
Generated Node #2: [24, 85, 27] from Operation: 55-28=27
Current State: 88:[24, 85, 27], Operations: ['55-28=27']
Exploring Operation: 85-24=61, Resulting Numbers: [27, 61]
Generated Node #3: [27, 61] from Operation: 85-24=61
Current State: 88:[27, 61], Operations: ['55-28=27', '85-24=61']
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[55, 28, 24, 85], Operations: []
Exploring Operation: 55-28=27, Resulting Numbers: [24, 85, 27]
Generated Node #0,0: 88:[24, 85, 27] Operation: 55-28=27
Exploring Operation: 55+28=83, Resulting Numbers: [24, 85, 83]
Generated Node #0,1: 88:[24, 85, 83] Operation: 55+28=83
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[24, 85, 27], Operations: ['55-28=27']
Exploring Operation: 24+27=51, Resulting Numbers: [85, 51]
Generated Node #0,0,0: 88:[85, 51] Operation: 24+27=51
Exploring Operation: 27-24=3, Resulting Numbers: [85, 3]
Generated Node #0,0,1: 88:[85, 3] Operation: 27-24=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 88:[85, 3], Operations: ['55-28=27', '27-24=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[55, 28, 24, 85], Operations: []
Exploring Operation: 55-28=27, Resulting Numbers: [24, 85, 27]
Generated Node #0,0: 88:[24, 85, 27] Operation: 55-28=27
Moving to Node #0,0
Current State: 88:[24, 85, 27], Operations: ['55-28=27']
Exploring Operation: 27-24=3, Resulting Numbers: [85, 3]
Generated Node #0,0,1: 88:[85, 3] Operation: 27-24=3
Moving to Node #0,0,1
Current State: 88:[85, 3], Operations: ['55-28=27', '27-24=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
34,
43,
75,
90
] | 88 | [
"34+43=77",
"75+90=165",
"165-77=88"
] | Current State: 88:[34, 43, 75, 90], Operations: []
Exploring Operation: 34+43=77, Resulting Numbers: [75, 90, 77]
Generated Node #2: [75, 90, 77] from Operation: 34+43=77
Current State: 88:[75, 90, 77], Operations: ['34+43=77']
Exploring Operation: 75+90=165, Resulting Numbers: [77, 165]
Generated Node #3: [77, 165] from Operation: 75+90=165
Current State: 88:[77, 165], Operations: ['34+43=77', '75+90=165']
Exploring Operation: 165-77=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[34, 43, 75, 90], Operations: []
Exploring Operation: 90-75=15, Resulting Numbers: [34, 43, 15]
Generated Node #0,0: 88:[34, 43, 15] Operation: 90-75=15
Exploring Operation: 75-34=41, Resulting Numbers: [43, 90, 41]
Generated Node #0,1: 88:[43, 90, 41] Operation: 75-34=41
Moving to Node #0,1
Current State: 88:[43, 90, 41], Operations: ['75-34=41']
Exploring Operation: 90-43=47, Resulting Numbers: [41, 47]
Generated Node #0,1,0: 88:[41, 47] Operation: 90-43=47
Exploring Operation: 43-41=2, Resulting Numbers: [90, 2]
Generated Node #0,1,1: 88:[90, 2] Operation: 43-41=2
Moving to Node #0,0
Current State: 88:[34, 43, 15], Operations: ['90-75=15']
Exploring Operation: 43-34=9, Resulting Numbers: [15, 9]
Generated Node #0,0,0: 88:[15, 9] Operation: 43-34=9
Exploring Operation: 34-15=19, Resulting Numbers: [43, 19]
Generated Node #0,0,1: 88:[43, 19] Operation: 34-15=19
Moving to Node #0,1,1
Current State: 88:[90, 2], Operations: ['75-34=41', '43-41=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[34, 43, 75, 90], Operations: []
Exploring Operation: 75-34=41, Resulting Numbers: [43, 90, 41]
Generated Node #0,1: 88:[43, 90, 41] Operation: 75-34=41
Moving to Node #0,1
Current State: 88:[43, 90, 41], Operations: ['75-34=41']
Exploring Operation: 43-41=2, Resulting Numbers: [90, 2]
Generated Node #0,1,1: 88:[90, 2] Operation: 43-41=2
Moving to Node #0,1,1
Current State: 88:[90, 2], Operations: ['75-34=41', '43-41=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
68,
9,
38,
39
] | 59 | [
"68-9=59",
"39-38=1",
"59*1=59"
] | Current State: 59:[68, 9, 38, 39], Operations: []
Exploring Operation: 68-9=59, Resulting Numbers: [38, 39, 59]
Generated Node #2: [38, 39, 59] from Operation: 68-9=59
Current State: 59:[38, 39, 59], Operations: ['68-9=59']
Exploring Operation: 39-38=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 39-38=1
Current State: 59:[59, 1], Operations: ['68-9=59', '39-38=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[68, 9, 38, 39], Operations: []
Exploring Operation: 9+38=47, Resulting Numbers: [68, 39, 47]
Generated Node #0,0: 59:[68, 39, 47] Operation: 9+38=47
Exploring Operation: 9+39=48, Resulting Numbers: [68, 38, 48]
Generated Node #0,1: 59:[68, 38, 48] Operation: 9+39=48
Exploring Operation: 68+9=77, Resulting Numbers: [38, 39, 77]
Generated Node #0,2: 59:[38, 39, 77] Operation: 68+9=77
Exploring Operation: 68-9=59, Resulting Numbers: [38, 39, 59]
Generated Node #0,3: 59:[38, 39, 59] Operation: 68-9=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[68, 39, 47], Operations: ['9+38=47']
Exploring Operation: 39+47=86, Resulting Numbers: [68, 86]
Generated Node #0,0,0: 59:[68, 86] Operation: 39+47=86
Exploring Operation: 68-47=21, Resulting Numbers: [39, 21]
Generated Node #0,0,1: 59:[39, 21] Operation: 68-47=21
Exploring Operation: 68-39=29, Resulting Numbers: [47, 29]
Generated Node #0,0,2: 59:[47, 29] Operation: 68-39=29
Exploring Operation: 68+39=107, Resulting Numbers: [47, 107]
Generated Node #0,0,3: 59:[47, 107] Operation: 68+39=107
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[68, 86], Operations: ['9+38=47', '39+47=86']
Exploring Operation: 68+86=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 86-68=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 68*86=5848, Resulting Numbers: [5848]
5848,59 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 #0,0,2
Current State: 59:[47, 29], Operations: ['9+38=47', '68-39=29']
Exploring Operation: 47*29=1363, Resulting Numbers: [1363]
1363,59 unequal: No Solution
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 47+29=76, Resulting Numbers: [76]
76,59 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 #0,0,1
Current State: 59:[39, 21], Operations: ['9+38=47', '68-47=21']
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 39*21=819, Resulting Numbers: [819]
819,59 unequal: No Solution
Exploring Operation: 39+21=60, Resulting Numbers: [60]
60,59 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 #0,0,3
Current State: 59:[47, 107], Operations: ['9+38=47', '68+39=107']
Exploring Operation: 107-47=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 47+107=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 47*107=5029, Resulting Numbers: [5029]
5029,59 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: 59:[68, 38, 48], Operations: ['9+39=48']
Exploring Operation: 68-38=30, Resulting Numbers: [48, 30]
Generated Node #0,1,0: 59:[48, 30] Operation: 68-38=30
Exploring Operation: 68+38=106, Resulting Numbers: [48, 106]
Generated Node #0,1,1: 59:[48, 106] Operation: 68+38=106
Exploring Operation: 38+48=86, Resulting Numbers: [68, 86]
Generated Node #0,1,2: 59:[68, 86] Operation: 38+48=86
Exploring Operation: 48-38=10, Resulting Numbers: [68, 10]
Generated Node #0,1,3: 59:[68, 10] Operation: 48-38=10
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 59:[68, 86], Operations: ['9+39=48', '38+48=86']
Exploring Operation: 68+86=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 86-68=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 68*86=5848, Resulting Numbers: [5848]
5848,59 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 #0,1,0
Current State: 59:[48, 30], Operations: ['9+39=48', '68-38=30']
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,59 unequal: No Solution
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 48*30=1440, Resulting Numbers: [1440]
1440,59 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 #0,1,1
Current State: 59:[48, 106], Operations: ['9+39=48', '68+38=106']
Exploring Operation: 48*106=5088, Resulting Numbers: [5088]
5088,59 unequal: No Solution
Exploring Operation: 48+106=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 106-48=58, Resulting Numbers: [58]
58,59 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 #0,1,3
Current State: 59:[68, 10], Operations: ['9+39=48', '48-38=10']
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,59 unequal: No Solution
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,59 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: 59:[38, 39, 59], Operations: ['68-9=59']
Exploring Operation: 38+59=97, Resulting Numbers: [39, 97]
Generated Node #0,3,0: 59:[39, 97] Operation: 38+59=97
Exploring Operation: 38+39=77, Resulting Numbers: [59, 77]
Generated Node #0,3,1: 59:[59, 77] Operation: 38+39=77
Exploring Operation: 39-38=1, Resulting Numbers: [59, 1]
Generated Node #0,3,2: 59:[59, 1] Operation: 39-38=1
Exploring Operation: 59-38=21, Resulting Numbers: [39, 21]
Generated Node #0,3,3: 59:[39, 21] Operation: 59-38=21
Moving to Node #0,3,1
Current State: 59:[59, 77], Operations: ['68-9=59', '38+39=77']
Exploring Operation: 59+77=136, Resulting Numbers: [136]
136,59 unequal: No Solution
Exploring Operation: 59*77=4543, Resulting Numbers: [4543]
4543,59 unequal: No Solution
Exploring Operation: 77-59=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[59, 1], Operations: ['68-9=59', '39-38=1']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[68, 9, 38, 39], Operations: []
Exploring Operation: 68-9=59, Resulting Numbers: [38, 39, 59]
Generated Node #0,3: 59:[38, 39, 59] Operation: 68-9=59
Moving to Node #0,3
Current State: 59:[38, 39, 59], Operations: ['68-9=59']
Exploring Operation: 39-38=1, Resulting Numbers: [59, 1]
Generated Node #0,3,2: 59:[59, 1] Operation: 39-38=1
Moving to Node #0,3,2
Current State: 59:[59, 1], Operations: ['68-9=59', '39-38=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465 | hs_4 | sum_heuristic |
[
1,
55,
34,
44
] | 24 | [
"55-1=54",
"34+44=78",
"78-54=24"
] | Current State: 24:[1, 55, 34, 44], Operations: []
Exploring Operation: 55-1=54, Resulting Numbers: [34, 44, 54]
Generated Node #2: [34, 44, 54] from Operation: 55-1=54
Current State: 24:[34, 44, 54], Operations: ['55-1=54']
Exploring Operation: 34+44=78, Resulting Numbers: [54, 78]
Generated Node #3: [54, 78] from Operation: 34+44=78
Current State: 24:[54, 78], Operations: ['55-1=54', '34+44=78']
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[1, 55, 34, 44], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [1, 34, 11]
Generated Node #0,0: 24:[1, 34, 11] Operation: 55-44=11
Moving to Node #0,0
Current State: 24:[1, 34, 11], Operations: ['55-44=11']
Exploring Operation: 34-11=23, Resulting Numbers: [1, 23]
Generated Node #0,0,0: 24:[1, 23] Operation: 34-11=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[1, 23], Operations: ['55-44=11', '34-11=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[1, 55, 34, 44], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [1, 34, 11]
Generated Node #0,0: 24:[1, 34, 11] Operation: 55-44=11
Moving to Node #0,0
Current State: 24:[1, 34, 11], Operations: ['55-44=11']
Exploring Operation: 34-11=23, Resulting Numbers: [1, 23]
Generated Node #0,0,0: 24:[1, 23] Operation: 34-11=23
Moving to Node #0,0,0
Current State: 24:[1, 23], Operations: ['55-44=11', '34-11=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
67,
87,
20,
47
] | 40 | [
"87+47=134",
"134/67=2",
"20*2=40"
] | Current State: 40:[67, 87, 20, 47], Operations: []
Exploring Operation: 87+47=134, Resulting Numbers: [67, 20, 134]
Generated Node #2: [67, 20, 134] from Operation: 87+47=134
Current State: 40:[67, 20, 134], Operations: ['87+47=134']
Exploring Operation: 134/67=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 134/67=2
Current State: 40:[20, 2], Operations: ['87+47=134', '134/67=2']
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[67, 87, 20, 47], Operations: []
Exploring Operation: 87-47=40, Resulting Numbers: [67, 20, 40]
Generated Node #0,0: 40:[67, 20, 40] Operation: 87-47=40
Exploring Operation: 67-47=20, Resulting Numbers: [87, 20, 20]
Generated Node #0,1: 40:[87, 20, 20] Operation: 67-47=20
Exploring Operation: 87-67=20, Resulting Numbers: [20, 47, 20]
Generated Node #0,2: 40:[20, 47, 20] Operation: 87-67=20
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[20, 47, 20], Operations: ['87-67=20']
Exploring Operation: 47-20=27, Resulting Numbers: [20, 27]
Generated Node #0,2,0: 40:[20, 27] Operation: 47-20=27
Exploring Operation: 47-20=27, Resulting Numbers: [20, 27]
Generated Node #0,2,1: 40:[20, 27] Operation: 47-20=27
Exploring Operation: 20+20=40, Resulting Numbers: [47, 40]
Generated Node #0,2,2: 40:[47, 40] Operation: 20+20=40
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 40:[20, 27], Operations: ['87-67=20', '47-20=27']
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,40 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:[20, 27], Operations: ['87-67=20', '47-20=27']
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,40 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,40 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:[47, 40], Operations: ['87-67=20', '20+20=40']
Exploring Operation: 47+40=87, Resulting Numbers: [87]
87,40 unequal: No Solution
Exploring Operation: 47*40=1880, Resulting Numbers: [1880]
1880,40 unequal: No Solution
Exploring Operation: 47-40=7, Resulting Numbers: [7]
7,40 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 #0,0
Current State: 40:[67, 20, 40], Operations: ['87-47=40']
Exploring Operation: 67-40=27, Resulting Numbers: [20, 27]
Generated Node #0,0,0: 40:[20, 27] Operation: 67-40=27
Exploring Operation: 40-20=20, Resulting Numbers: [67, 20]
Generated Node #0,0,1: 40:[67, 20] Operation: 40-20=20
Exploring Operation: 67-20=47, Resulting Numbers: [40, 47]
Generated Node #0,0,2: 40:[40, 47] Operation: 67-20=47
Moving to Node #0,0,0
Current State: 40:[20, 27], Operations: ['87-47=40', '67-40=27']
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,40 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[40, 47], Operations: ['87-47=40', '67-20=47']
Exploring Operation: 40*47=1880, Resulting Numbers: [1880]
1880,40 unequal: No Solution
Exploring Operation: 47-40=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Exploring Operation: 40+47=87, Resulting Numbers: [87]
87,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[67, 20], Operations: ['87-47=40', '40-20=20']
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 67+20=87, Resulting Numbers: [87]
87,40 unequal: No Solution
Exploring Operation: 67*20=1340, Resulting Numbers: [1340]
1340,40 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 #0,1
Current State: 40:[87, 20, 20], Operations: ['67-47=20']
Exploring Operation: 20+20=40, Resulting Numbers: [87, 40]
Generated Node #0,1,0: 40:[87, 40] Operation: 20+20=40
Exploring Operation: 87-20=67, Resulting Numbers: [20, 67]
Generated Node #0,1,1: 40:[20, 67] Operation: 87-20=67
Exploring Operation: 87-20=67, Resulting Numbers: [20, 67]
Generated Node #0,1,2: 40:[20, 67] Operation: 87-20=67
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 40:[20, 67], Operations: ['67-47=20', '87-20=67']
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 20+67=87, Resulting Numbers: [87]
87,40 unequal: No Solution
Exploring Operation: 20*67=1340, Resulting Numbers: [1340]
1340,40 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 #0,1,2
Current State: 40:[20, 67], Operations: ['67-47=20', '87-20=67']
Exploring Operation: 20+67=87, Resulting Numbers: [87]
87,40 unequal: No Solution
Exploring Operation: 20*67=1340, Resulting Numbers: [1340]
1340,40 unequal: No Solution
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,40 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 #0,1,0
Current State: 40:[87, 40], Operations: ['67-47=20', '20+20=40']
Exploring Operation: 87-40=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 87+40=127, Resulting Numbers: [127]
127,40 unequal: No Solution
Exploring Operation: 87*40=3480, Resulting Numbers: [3480]
3480,40 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_3 | mult_heuristic |
[
45,
72,
17,
9
] | 35 | [
"72-45=27",
"17-9=8",
"27+8=35"
] | Current State: 35:[45, 72, 17, 9], Operations: []
Exploring Operation: 72-45=27, Resulting Numbers: [17, 9, 27]
Generated Node #2: [17, 9, 27] from Operation: 72-45=27
Current State: 35:[17, 9, 27], Operations: ['72-45=27']
Exploring Operation: 17-9=8, Resulting Numbers: [27, 8]
Generated Node #3: [27, 8] from Operation: 17-9=8
Current State: 35:[27, 8], Operations: ['72-45=27', '17-9=8']
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[45, 72, 17, 9], Operations: []
Exploring Operation: 45-17=28, Resulting Numbers: [72, 9, 28]
Generated Node #0,0: 35:[72, 9, 28] Operation: 45-17=28
Exploring Operation: 72/9=8, Resulting Numbers: [45, 17, 8]
Generated Node #0,1: 35:[45, 17, 8] Operation: 72/9=8
Exploring Operation: 72-17=55, Resulting Numbers: [45, 9, 55]
Generated Node #0,2: 35:[45, 9, 55] Operation: 72-17=55
Exploring Operation: 72-45=27, Resulting Numbers: [17, 9, 27]
Generated Node #0,3: 35:[17, 9, 27] Operation: 72-45=27
Start Sub Search at level 1: Moving to Node #0,3
Current State: 35:[17, 9, 27], Operations: ['72-45=27']
Exploring Operation: 17-9=8, Resulting Numbers: [27, 8]
Generated Node #0,3,0: 35:[27, 8] Operation: 17-9=8
Exploring Operation: 17+27=44, Resulting Numbers: [9, 44]
Generated Node #0,3,1: 35:[9, 44] Operation: 17+27=44
Exploring Operation: 9+27=36, Resulting Numbers: [17, 36]
Generated Node #0,3,2: 35:[17, 36] Operation: 9+27=36
Exploring Operation: 27-17=10, Resulting Numbers: [9, 10]
Generated Node #0,3,3: 35:[9, 10] Operation: 27-17=10
Moving to Node #0,3,3
Current State: 35:[9, 10], Operations: ['72-45=27', '27-17=10']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,35 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,35 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,35 unequal: No Solution
Moving to Node #0,3,0
Current State: 35:[27, 8], Operations: ['72-45=27', '17-9=8']
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[45, 72, 17, 9], Operations: []
Exploring Operation: 72-45=27, Resulting Numbers: [17, 9, 27]
Generated Node #0,3: 35:[17, 9, 27] Operation: 72-45=27
Moving to Node #0,3
Current State: 35:[17, 9, 27], Operations: ['72-45=27']
Exploring Operation: 17-9=8, Resulting Numbers: [27, 8]
Generated Node #0,3,0: 35:[27, 8] Operation: 17-9=8
Moving to Node #0,3,0
Current State: 35:[27, 8], Operations: ['72-45=27', '17-9=8']
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
58,
57,
82,
85
] | 39 | [
"85-82=3",
"57/3=19",
"58-19=39"
] | Current State: 39:[58, 57, 82, 85], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [58, 57, 3]
Generated Node #2: [58, 57, 3] from Operation: 85-82=3
Current State: 39:[58, 57, 3], Operations: ['85-82=3']
Exploring Operation: 57/3=19, Resulting Numbers: [58, 19]
Generated Node #3: [58, 19] from Operation: 57/3=19
Current State: 39:[58, 19], Operations: ['85-82=3', '57/3=19']
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[58, 57, 82, 85], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [58, 57, 3]
Generated Node #0,0: 39:[58, 57, 3] Operation: 85-82=3
Moving to Node #0,0
Current State: 39:[58, 57, 3], Operations: ['85-82=3']
Exploring Operation: 58-57=1, Resulting Numbers: [3, 1]
Generated Node #0,0,0: 39:[3, 1] Operation: 58-57=1
Moving to Node #0,0,0
Current State: 39:[3, 1], Operations: ['85-82=3', '58-57=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,39 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
19,
10,
46,
12
] | 87 | [
"19+10=29",
"46+12=58",
"29+58=87"
] | Current State: 87:[19, 10, 46, 12], Operations: []
Exploring Operation: 19+10=29, Resulting Numbers: [46, 12, 29]
Generated Node #2: [46, 12, 29] from Operation: 19+10=29
Current State: 87:[46, 12, 29], Operations: ['19+10=29']
Exploring Operation: 46+12=58, Resulting Numbers: [29, 58]
Generated Node #3: [29, 58] from Operation: 46+12=58
Current State: 87:[29, 58], Operations: ['19+10=29', '46+12=58']
Exploring Operation: 29+58=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[19, 10, 46, 12], Operations: []
Exploring Operation: 46-19=27, Resulting Numbers: [10, 12, 27]
Generated Node #0,0: 87:[10, 12, 27] Operation: 46-19=27
Exploring Operation: 46-12=34, Resulting Numbers: [19, 10, 34]
Generated Node #0,1: 87:[19, 10, 34] Operation: 46-12=34
Exploring Operation: 19+10=29, Resulting Numbers: [46, 12, 29]
Generated Node #0,2: 87:[46, 12, 29] Operation: 19+10=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[10, 12, 27], Operations: ['46-19=27']
Exploring Operation: 10+27=37, Resulting Numbers: [12, 37]
Generated Node #0,0,0: 87:[12, 37] Operation: 10+27=37
Exploring Operation: 12-10=2, Resulting Numbers: [27, 2]
Generated Node #0,0,1: 87:[27, 2] Operation: 12-10=2
Exploring Operation: 10+12=22, Resulting Numbers: [27, 22]
Generated Node #0,0,2: 87:[27, 22] Operation: 10+12=22
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[27, 2], Operations: ['46-19=27', '12-10=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,87 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,87 unequal: No Solution
No 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: 87:[27, 22], Operations: ['46-19=27', '10+12=22']
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 27*22=594, Resulting Numbers: [594]
594,87 unequal: No Solution
No 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: 87:[12, 37], Operations: ['46-19=27', '10+27=37']
Exploring Operation: 12+37=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 12*37=444, Resulting Numbers: [444]
444,87 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: 87:[19, 10, 34], Operations: ['46-12=34']
Exploring Operation: 34-10=24, Resulting Numbers: [19, 24]
Generated Node #0,1,0: 87:[19, 24] Operation: 34-10=24
Exploring Operation: 19-10=9, Resulting Numbers: [34, 9]
Generated Node #0,1,1: 87:[34, 9] Operation: 19-10=9
Exploring Operation: 19+10=29, Resulting Numbers: [34, 29]
Generated Node #0,1,2: 87:[34, 29] Operation: 19+10=29
Moving to Node #0,1,2
Current State: 87:[34, 29], Operations: ['46-12=34', '19+10=29']
Exploring Operation: 34+29=63, Resulting Numbers: [63]
63,87 unequal: No Solution
Exploring Operation: 34-29=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 34*29=986, Resulting Numbers: [986]
986,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[34, 9], Operations: ['46-12=34', '19-10=9']
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,87 unequal: No Solution
Moving to Node #0,1,0
Current State: 87:[19, 24], Operations: ['46-12=34', '34-10=24']
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 19*24=456, Resulting Numbers: [456]
456,87 unequal: No Solution
No 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: 87:[46, 12, 29], Operations: ['19+10=29']
Exploring Operation: 46+29=75, Resulting Numbers: [12, 75]
Generated Node #0,2,0: 87:[12, 75] Operation: 46+29=75
Exploring Operation: 46-12=34, Resulting Numbers: [29, 34]
Generated Node #0,2,1: 87:[29, 34] Operation: 46-12=34
Exploring Operation: 46-29=17, Resulting Numbers: [12, 17]
Generated Node #0,2,2: 87:[12, 17] Operation: 46-29=17
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 87:[29, 34], Operations: ['19+10=29', '46-12=34']
Exploring Operation: 34-29=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 29+34=63, Resulting Numbers: [63]
63,87 unequal: No Solution
Exploring Operation: 29*34=986, Resulting Numbers: [986]
986,87 unequal: No Solution
No 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: 87:[12, 75], Operations: ['19+10=29', '46+29=75']
Exploring Operation: 12*75=900, Resulting Numbers: [900]
900,87 unequal: No Solution
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,87 unequal: No Solution
Exploring Operation: 12+75=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[19, 10, 46, 12], Operations: []
Exploring Operation: 19+10=29, Resulting Numbers: [46, 12, 29]
Generated Node #0,2: 87:[46, 12, 29] Operation: 19+10=29
Moving to Node #0,2
Current State: 87:[46, 12, 29], Operations: ['19+10=29']
Exploring Operation: 46+29=75, Resulting Numbers: [12, 75]
Generated Node #0,2,0: 87:[12, 75] Operation: 46+29=75
Moving to Node #0,2,0
Current State: 87:[12, 75], Operations: ['19+10=29', '46+29=75']
Exploring Operation: 12+75=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.965278 | hs_3 | mult_heuristic |
[
77,
62,
38,
6
] | 67 | [
"62-38=24",
"6*24=144",
"144-77=67"
] | Current State: 67:[77, 62, 38, 6], Operations: []
Exploring Operation: 62-38=24, Resulting Numbers: [77, 6, 24]
Generated Node #2: [77, 6, 24] from Operation: 62-38=24
Current State: 67:[77, 6, 24], Operations: ['62-38=24']
Exploring Operation: 6*24=144, Resulting Numbers: [77, 144]
Generated Node #3: [77, 144] from Operation: 6*24=144
Current State: 67:[77, 144], Operations: ['62-38=24', '6*24=144']
Exploring Operation: 144-77=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[77, 62, 38, 6], Operations: []
Exploring Operation: 77+6=83, Resulting Numbers: [62, 38, 83]
Generated Node #0,0: 67:[62, 38, 83] Operation: 77+6=83
Exploring Operation: 62+6=68, Resulting Numbers: [77, 38, 68]
Generated Node #0,1: 67:[77, 38, 68] Operation: 62+6=68
Exploring Operation: 77-6=71, Resulting Numbers: [62, 38, 71]
Generated Node #0,2: 67:[62, 38, 71] Operation: 77-6=71
Exploring Operation: 38+6=44, Resulting Numbers: [77, 62, 44]
Generated Node #0,3: 67:[77, 62, 44] Operation: 38+6=44
Moving to Node #0,2
Current State: 67:[62, 38, 71], Operations: ['77-6=71']
Exploring Operation: 71-38=33, Resulting Numbers: [62, 33]
Generated Node #0,2,0: 67:[62, 33] Operation: 71-38=33
Exploring Operation: 38+71=109, Resulting Numbers: [62, 109]
Generated Node #0,2,1: 67:[62, 109] Operation: 38+71=109
Exploring Operation: 62-38=24, Resulting Numbers: [71, 24]
Generated Node #0,2,2: 67:[71, 24] Operation: 62-38=24
Exploring Operation: 62+38=100, Resulting Numbers: [71, 100]
Generated Node #0,2,3: 67:[71, 100] Operation: 62+38=100
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 67:[71, 100], Operations: ['77-6=71', '62+38=100']
Exploring Operation: 71+100=171, Resulting Numbers: [171]
171,67 unequal: No Solution
Exploring Operation: 100-71=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 71*100=7100, Resulting Numbers: [7100]
7100,67 unequal: No Solution
No 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: 67:[62, 33], Operations: ['77-6=71', '71-38=33']
Exploring Operation: 62-33=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 62+33=95, Resulting Numbers: [95]
95,67 unequal: No Solution
Exploring Operation: 62*33=2046, Resulting Numbers: [2046]
2046,67 unequal: No Solution
No 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: 67:[62, 109], Operations: ['77-6=71', '38+71=109']
Exploring Operation: 62*109=6758, Resulting Numbers: [6758]
6758,67 unequal: No Solution
Exploring Operation: 109-62=47, Resulting Numbers: [47]
47,67 unequal: No Solution
Exploring Operation: 62+109=171, Resulting Numbers: [171]
171,67 unequal: No Solution
No 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: 67:[71, 24], Operations: ['77-6=71', '62-38=24']
Exploring Operation: 71+24=95, Resulting Numbers: [95]
95,67 unequal: No Solution
Exploring Operation: 71*24=1704, Resulting Numbers: [1704]
1704,67 unequal: No Solution
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,67 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: 67:[77, 62, 44], Operations: ['38+6=44']
Exploring Operation: 62-44=18, Resulting Numbers: [77, 18]
Generated Node #0,3,0: 67:[77, 18] Operation: 62-44=18
Exploring Operation: 62+44=106, Resulting Numbers: [77, 106]
Generated Node #0,3,1: 67:[77, 106] Operation: 62+44=106
Exploring Operation: 77+44=121, Resulting Numbers: [62, 121]
Generated Node #0,3,2: 67:[62, 121] Operation: 77+44=121
Exploring Operation: 77-44=33, Resulting Numbers: [62, 33]
Generated Node #0,3,3: 67:[62, 33] Operation: 77-44=33
Moving to Node #0,1
Current State: 67:[77, 38, 68], Operations: ['62+6=68']
Exploring Operation: 77-38=39, Resulting Numbers: [68, 39]
Generated Node #0,1,0: 67:[68, 39] Operation: 77-38=39
Exploring Operation: 38+68=106, Resulting Numbers: [77, 106]
Generated Node #0,1,1: 67:[77, 106] Operation: 38+68=106
Exploring Operation: 77+38=115, Resulting Numbers: [68, 115]
Generated Node #0,1,2: 67:[68, 115] Operation: 77+38=115
Exploring Operation: 68-38=30, Resulting Numbers: [77, 30]
Generated Node #0,1,3: 67:[77, 30] Operation: 68-38=30
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[68, 39], Operations: ['62+6=68', '77-38=39']
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,67 unequal: No Solution
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,67 unequal: No Solution
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,67 unequal: No Solution
No 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: 67:[77, 30], Operations: ['62+6=68', '68-38=30']
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,67 unequal: No Solution
Exploring Operation: 77+30=107, Resulting Numbers: [107]
107,67 unequal: No Solution
Exploring Operation: 77*30=2310, Resulting Numbers: [2310]
2310,67 unequal: No Solution
No 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: 67:[77, 106], Operations: ['62+6=68', '38+68=106']
Exploring Operation: 77+106=183, Resulting Numbers: [183]
183,67 unequal: No Solution
Exploring Operation: 77*106=8162, Resulting Numbers: [8162]
8162,67 unequal: No Solution
Exploring Operation: 106-77=29, Resulting Numbers: [29]
29,67 unequal: No Solution
No 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: 67:[68, 115], Operations: ['62+6=68', '77+38=115']
Exploring Operation: 115-68=47, Resulting Numbers: [47]
47,67 unequal: No Solution
Exploring Operation: 68+115=183, Resulting Numbers: [183]
183,67 unequal: No Solution
Exploring Operation: 68*115=7820, Resulting Numbers: [7820]
7820,67 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: 67:[62, 38, 83], Operations: ['77+6=83']
Exploring Operation: 62+38=100, Resulting Numbers: [83, 100]
Generated Node #0,0,0: 67:[83, 100] Operation: 62+38=100
Exploring Operation: 83-38=45, Resulting Numbers: [62, 45]
Generated Node #0,0,1: 67:[62, 45] Operation: 83-38=45
Exploring Operation: 38+83=121, Resulting Numbers: [62, 121]
Generated Node #0,0,2: 67:[62, 121] Operation: 38+83=121
Exploring Operation: 62-38=24, Resulting Numbers: [83, 24]
Generated Node #0,0,3: 67:[83, 24] Operation: 62-38=24
Moving to Node #0,0,1
Current State: 67:[62, 45], Operations: ['77+6=83', '83-38=45']
Exploring Operation: 62*45=2790, Resulting Numbers: [2790]
2790,67 unequal: No Solution
Exploring Operation: 62+45=107, Resulting Numbers: [107]
107,67 unequal: No Solution
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[62, 33], Operations: ['38+6=44', '77-44=33']
Exploring Operation: 62-33=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 62*33=2046, Resulting Numbers: [2046]
2046,67 unequal: No Solution
Exploring Operation: 62+33=95, Resulting Numbers: [95]
95,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[83, 100], Operations: ['77+6=83', '62+38=100']
Exploring Operation: 100-83=17, Resulting Numbers: [17]
17,67 unequal: No Solution
Exploring Operation: 83+100=183, Resulting Numbers: [183]
183,67 unequal: No Solution
Exploring Operation: 83*100=8300, Resulting Numbers: [8300]
8300,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[77, 106], Operations: ['38+6=44', '62+44=106']
Exploring Operation: 106-77=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 77+106=183, Resulting Numbers: [183]
183,67 unequal: No Solution
Exploring Operation: 77*106=8162, Resulting Numbers: [8162]
8162,67 unequal: No Solution
Moving to Node #0,3,0
Current State: 67:[77, 18], Operations: ['38+6=44', '62-44=18']
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,67 unequal: No Solution
Exploring Operation: 77*18=1386, Resulting Numbers: [1386]
1386,67 unequal: No Solution
Exploring Operation: 77+18=95, Resulting Numbers: [95]
95,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[62, 121], Operations: ['77+6=83', '38+83=121']
Exploring Operation: 62*121=7502, Resulting Numbers: [7502]
7502,67 unequal: No Solution
Exploring Operation: 62+121=183, Resulting Numbers: [183]
183,67 unequal: No Solution
Exploring Operation: 121-62=59, Resulting Numbers: [59]
59,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[83, 24], Operations: ['77+6=83', '62-38=24']
Exploring Operation: 83+24=107, Resulting Numbers: [107]
107,67 unequal: No Solution
Exploring Operation: 83*24=1992, Resulting Numbers: [1992]
1992,67 unequal: No Solution
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,67 unequal: No Solution
Moving to Node #0,3,2
Current State: 67:[62, 121], Operations: ['38+6=44', '77+44=121']
Exploring Operation: 62+121=183, Resulting Numbers: [183]
183,67 unequal: No Solution
Exploring Operation: 121-62=59, Resulting Numbers: [59]
59,67 unequal: No Solution
Exploring Operation: 62*121=7502, Resulting Numbers: [7502]
7502,67 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
51,
95,
87,
90
] | 31 | [
"51+95=146",
"87+90=177",
"177-146=31"
] | Current State: 31:[51, 95, 87, 90], Operations: []
Exploring Operation: 51+95=146, Resulting Numbers: [87, 90, 146]
Generated Node #2: [87, 90, 146] from Operation: 51+95=146
Current State: 31:[87, 90, 146], Operations: ['51+95=146']
Exploring Operation: 87+90=177, Resulting Numbers: [146, 177]
Generated Node #3: [146, 177] from Operation: 87+90=177
Current State: 31:[146, 177], Operations: ['51+95=146', '87+90=177']
Exploring Operation: 177-146=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[51, 95, 87, 90], Operations: []
Exploring Operation: 95-87=8, Resulting Numbers: [51, 90, 8]
Generated Node #0,0: 31:[51, 90, 8] Operation: 95-87=8
Exploring Operation: 95-90=5, Resulting Numbers: [51, 87, 5]
Generated Node #0,1: 31:[51, 87, 5] Operation: 95-90=5
Exploring Operation: 90-87=3, Resulting Numbers: [51, 95, 3]
Generated Node #0,2: 31:[51, 95, 3] Operation: 90-87=3
Moving to Node #0,0
Current State: 31:[51, 90, 8], Operations: ['95-87=8']
Exploring Operation: 90-51=39, Resulting Numbers: [8, 39]
Generated Node #0,0,0: 31:[8, 39] Operation: 90-51=39
Exploring Operation: 90-8=82, Resulting Numbers: [51, 82]
Generated Node #0,0,1: 31:[51, 82] Operation: 90-8=82
Exploring Operation: 51-8=43, Resulting Numbers: [90, 43]
Generated Node #0,0,2: 31:[90, 43] Operation: 51-8=43
Moving to Node #0,1
Current State: 31:[51, 87, 5], Operations: ['95-90=5']
Exploring Operation: 87-51=36, Resulting Numbers: [5, 36]
Generated Node #0,1,0: 31:[5, 36] Operation: 87-51=36
Exploring Operation: 87-5=82, Resulting Numbers: [51, 82]
Generated Node #0,1,1: 31:[51, 82] Operation: 87-5=82
Exploring Operation: 51-5=46, Resulting Numbers: [87, 46]
Generated Node #0,1,2: 31:[87, 46] Operation: 51-5=46
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[5, 36], Operations: ['95-90=5', '87-51=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[51, 95, 87, 90], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [51, 87, 5]
Generated Node #0,1: 31:[51, 87, 5] Operation: 95-90=5
Moving to Node #0,1
Current State: 31:[51, 87, 5], Operations: ['95-90=5']
Exploring Operation: 87-51=36, Resulting Numbers: [5, 36]
Generated Node #0,1,0: 31:[5, 36] Operation: 87-51=36
Moving to Node #0,1,0
Current State: 31:[5, 36], Operations: ['95-90=5', '87-51=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
36,
21,
60,
11
] | 30 | [
"21-11=10",
"60/10=6",
"36-6=30"
] | Current State: 30:[36, 21, 60, 11], Operations: []
Exploring Operation: 21-11=10, Resulting Numbers: [36, 60, 10]
Generated Node #2: [36, 60, 10] from Operation: 21-11=10
Current State: 30:[36, 60, 10], Operations: ['21-11=10']
Exploring Operation: 60/10=6, Resulting Numbers: [36, 6]
Generated Node #3: [36, 6] from Operation: 60/10=6
Current State: 30:[36, 6], Operations: ['21-11=10', '60/10=6']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[36, 21, 60, 11], Operations: []
Exploring Operation: 60-36=24, Resulting Numbers: [21, 11, 24]
Generated Node #0,0: 30:[21, 11, 24] Operation: 60-36=24
Exploring Operation: 60-21=39, Resulting Numbers: [36, 11, 39]
Generated Node #0,1: 30:[36, 11, 39] Operation: 60-21=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[21, 11, 24], Operations: ['60-36=24']
Exploring Operation: 21-11=10, Resulting Numbers: [24, 10]
Generated Node #0,0,0: 30:[24, 10] Operation: 21-11=10
Exploring Operation: 24-21=3, Resulting Numbers: [11, 3]
Generated Node #0,0,1: 30:[11, 3] Operation: 24-21=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[11, 3], Operations: ['60-36=24', '24-21=3']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,30 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[24, 10], Operations: ['60-36=24', '21-11=10']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[36, 11, 39], Operations: ['60-21=39']
Exploring Operation: 39-11=28, Resulting Numbers: [36, 28]
Generated Node #0,1,0: 30:[36, 28] Operation: 39-11=28
Exploring Operation: 39-36=3, Resulting Numbers: [11, 3]
Generated Node #0,1,1: 30:[11, 3] Operation: 39-36=3
Moving to Node #0,1,1
Current State: 30:[11, 3], Operations: ['60-21=39', '39-36=3']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,30 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Moving to Node #0,1,0
Current State: 30:[36, 28], Operations: ['60-21=39', '39-11=28']
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,30 unequal: No Solution
Exploring Operation: 36+28=64, Resulting Numbers: [64]
64,30 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 |
[
11,
14,
40,
7
] | 61 | [
"14-11=3",
"7*3=21",
"40+21=61"
] | Current State: 61:[11, 14, 40, 7], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [40, 7, 3]
Generated Node #2: [40, 7, 3] from Operation: 14-11=3
Current State: 61:[40, 7, 3], Operations: ['14-11=3']
Exploring Operation: 7*3=21, Resulting Numbers: [40, 21]
Generated Node #3: [40, 21] from Operation: 7*3=21
Current State: 61:[40, 21], Operations: ['14-11=3', '7*3=21']
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[11, 14, 40, 7], Operations: []
Exploring Operation: 11+7=18, Resulting Numbers: [14, 40, 18]
Generated Node #0,0: 61:[14, 40, 18] Operation: 11+7=18
Exploring Operation: 11+40=51, Resulting Numbers: [14, 7, 51]
Generated Node #0,1: 61:[14, 7, 51] Operation: 11+40=51
Exploring Operation: 11*7=77, Resulting Numbers: [14, 40, 77]
Generated Node #0,2: 61:[14, 40, 77] Operation: 11*7=77
Exploring Operation: 14*7=98, Resulting Numbers: [11, 40, 98]
Generated Node #0,3: 61:[11, 40, 98] Operation: 14*7=98
Exploring Operation: 11+14=25, Resulting Numbers: [40, 7, 25]
Generated Node #0,4: 61:[40, 7, 25] Operation: 11+14=25
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[14, 40, 77], Operations: ['11*7=77']
Exploring Operation: 40-14=26, Resulting Numbers: [77, 26]
Generated Node #0,2,0: 61:[77, 26] Operation: 40-14=26
Exploring Operation: 77-14=63, Resulting Numbers: [40, 63]
Generated Node #0,2,1: 61:[40, 63] Operation: 77-14=63
Exploring Operation: 77-40=37, Resulting Numbers: [14, 37]
Generated Node #0,2,2: 61:[14, 37] Operation: 77-40=37
Exploring Operation: 14+77=91, Resulting Numbers: [40, 91]
Generated Node #0,2,3: 61:[40, 91] Operation: 14+77=91
Exploring Operation: 14+40=54, Resulting Numbers: [77, 54]
Generated Node #0,2,4: 61:[77, 54] Operation: 14+40=54
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 61:[40, 63], Operations: ['11*7=77', '77-14=63']
Exploring Operation: 40+63=103, Resulting Numbers: [103]
103,61 unequal: No Solution
Exploring Operation: 40*63=2520, Resulting Numbers: [2520]
2520,61 unequal: No Solution
Exploring Operation: 63-40=23, Resulting Numbers: [23]
23,61 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 #0,2,4
Current State: 61:[77, 54], Operations: ['11*7=77', '14+40=54']
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,61 unequal: No Solution
Exploring Operation: 77+54=131, Resulting Numbers: [131]
131,61 unequal: No Solution
Exploring Operation: 77*54=4158, Resulting Numbers: [4158]
4158,61 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 #0,2,0
Current State: 61:[77, 26], Operations: ['11*7=77', '40-14=26']
Exploring Operation: 77*26=2002, Resulting Numbers: [2002]
2002,61 unequal: No Solution
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 77+26=103, Resulting Numbers: [103]
103,61 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 #0,2,3
Current State: 61:[40, 91], Operations: ['11*7=77', '14+77=91']
Exploring Operation: 40+91=131, Resulting Numbers: [131]
131,61 unequal: No Solution
Exploring Operation: 40*91=3640, Resulting Numbers: [3640]
3640,61 unequal: No Solution
Exploring Operation: 91-40=51, Resulting Numbers: [51]
51,61 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 #0,2,2
Current State: 61:[14, 37], Operations: ['11*7=77', '77-40=37']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,61 unequal: No Solution
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,61 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: 61:[11, 40, 98], Operations: ['14*7=98']
Exploring Operation: 11+98=109, Resulting Numbers: [40, 109]
Generated Node #0,3,0: 61:[40, 109] Operation: 11+98=109
Exploring Operation: 11+40=51, Resulting Numbers: [98, 51]
Generated Node #0,3,1: 61:[98, 51] Operation: 11+40=51
Exploring Operation: 98-40=58, Resulting Numbers: [11, 58]
Generated Node #0,3,2: 61:[11, 58] Operation: 98-40=58
Exploring Operation: 98-11=87, Resulting Numbers: [40, 87]
Generated Node #0,3,3: 61:[40, 87] Operation: 98-11=87
Exploring Operation: 40-11=29, Resulting Numbers: [98, 29]
Generated Node #0,3,4: 61:[98, 29] Operation: 40-11=29
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 61:[98, 51], Operations: ['14*7=98', '11+40=51']
Exploring Operation: 98+51=149, Resulting Numbers: [149]
149,61 unequal: No Solution
Exploring Operation: 98*51=4998, Resulting Numbers: [4998]
4998,61 unequal: No Solution
Exploring Operation: 98-51=47, Resulting Numbers: [47]
47,61 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 #0,3,3
Current State: 61:[40, 87], Operations: ['14*7=98', '98-11=87']
Exploring Operation: 40+87=127, Resulting Numbers: [127]
127,61 unequal: No Solution
Exploring Operation: 40*87=3480, Resulting Numbers: [3480]
3480,61 unequal: No Solution
Exploring Operation: 87-40=47, Resulting Numbers: [47]
47,61 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 #0,3,2
Current State: 61:[11, 58], Operations: ['14*7=98', '98-40=58']
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,61 unequal: No Solution
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,61 unequal: No Solution
Exploring Operation: 11*58=638, Resulting Numbers: [638]
638,61 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 #0,3,0
Current State: 61:[40, 109], Operations: ['14*7=98', '11+98=109']
Exploring Operation: 109-40=69, Resulting Numbers: [69]
69,61 unequal: No Solution
Exploring Operation: 40*109=4360, Resulting Numbers: [4360]
4360,61 unequal: No Solution
Exploring Operation: 40+109=149, Resulting Numbers: [149]
149,61 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 #0,3,4
Current State: 61:[98, 29], Operations: ['14*7=98', '40-11=29']
Exploring Operation: 98*29=2842, Resulting Numbers: [2842]
2842,61 unequal: No Solution
Exploring Operation: 98-29=69, Resulting Numbers: [69]
69,61 unequal: No Solution
Exploring Operation: 98+29=127, Resulting Numbers: [127]
127,61 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: 61:[14, 40, 18], Operations: ['11+7=18']
Exploring Operation: 40-14=26, Resulting Numbers: [18, 26]
Generated Node #0,0,0: 61:[18, 26] Operation: 40-14=26
Exploring Operation: 18-14=4, Resulting Numbers: [40, 4]
Generated Node #0,0,1: 61:[40, 4] Operation: 18-14=4
Exploring Operation: 14+18=32, Resulting Numbers: [40, 32]
Generated Node #0,0,2: 61:[40, 32] Operation: 14+18=32
Exploring Operation: 40+18=58, Resulting Numbers: [14, 58]
Generated Node #0,0,3: 61:[14, 58] Operation: 40+18=58
Exploring Operation: 14+40=54, Resulting Numbers: [18, 54]
Generated Node #0,0,4: 61:[18, 54] Operation: 14+40=54
Moving to Node #0,0,2
Current State: 61:[40, 32], Operations: ['11+7=18', '14+18=32']
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 40*32=1280, Resulting Numbers: [1280]
1280,61 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Moving to Node #0,0,4
Current State: 61:[18, 54], Operations: ['11+7=18', '14+40=54']
Exploring Operation: 54/18=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 18*54=972, Resulting Numbers: [972]
972,61 unequal: No Solution
Exploring Operation: 18+54=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[14, 58], Operations: ['11+7=18', '40+18=58']
Exploring Operation: 14+58=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 14*58=812, Resulting Numbers: [812]
812,61 unequal: No Solution
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[18, 26], Operations: ['11+7=18', '40-14=26']
Exploring Operation: 18*26=468, Resulting Numbers: [468]
468,61 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Exploring Operation: 18+26=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[40, 4], Operations: ['11+7=18', '18-14=4']
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 40*4=160, Resulting Numbers: [160]
160,61 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,61 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,61 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 #0,1
Current State: 61:[14, 7, 51], Operations: ['11+40=51']
Exploring Operation: 14-7=7, Resulting Numbers: [51, 7]
Generated Node #0,1,0: 61:[51, 7] Operation: 14-7=7
Exploring Operation: 14*7=98, Resulting Numbers: [51, 98]
Generated Node #0,1,1: 61:[51, 98] Operation: 14*7=98
Exploring Operation: 7+51=58, Resulting Numbers: [14, 58]
Generated Node #0,1,2: 61:[14, 58] Operation: 7+51=58
Exploring Operation: 14+7=21, Resulting Numbers: [51, 21]
Generated Node #0,1,3: 61:[51, 21] Operation: 14+7=21
Exploring Operation: 14+51=65, Resulting Numbers: [7, 65]
Generated Node #0,1,4: 61:[7, 65] Operation: 14+51=65
Moving to Node #0,1,1
Current State: 61:[51, 98], Operations: ['11+40=51', '14*7=98']
Exploring Operation: 98-51=47, Resulting Numbers: [47]
47,61 unequal: No Solution
Exploring Operation: 51*98=4998, Resulting Numbers: [4998]
4998,61 unequal: No Solution
Exploring Operation: 51+98=149, Resulting Numbers: [149]
149,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[51, 21], Operations: ['11+40=51', '14+7=21']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Exploring Operation: 51*21=1071, Resulting Numbers: [1071]
1071,61 unequal: No Solution
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[14, 58], Operations: ['11+40=51', '7+51=58']
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 14+58=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 14*58=812, Resulting Numbers: [812]
812,61 unequal: No Solution
Moving to Node #0,1,4
Current State: 61:[7, 65], Operations: ['11+40=51', '14+51=65']
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Exploring Operation: 7*65=455, Resulting Numbers: [455]
455,61 unequal: No Solution
Exploring Operation: 7+65=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[51, 7], Operations: ['11+40=51', '14-7=7']
Exploring Operation: 51*7=357, Resulting Numbers: [357]
357,61 unequal: No Solution
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,61 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 #0,4
Current State: 61:[40, 7, 25], Operations: ['11+14=25']
Exploring Operation: 7+25=32, Resulting Numbers: [40, 32]
Generated Node #0,4,0: 61:[40, 32] Operation: 7+25=32
Exploring Operation: 40-7=33, Resulting Numbers: [25, 33]
Generated Node #0,4,1: 61:[25, 33] Operation: 40-7=33
Exploring Operation: 25-7=18, Resulting Numbers: [40, 18]
Generated Node #0,4,2: 61:[40, 18] Operation: 25-7=18
Exploring Operation: 40+25=65, Resulting Numbers: [7, 65]
Generated Node #0,4,3: 61:[7, 65] Operation: 40+25=65
Exploring Operation: 40+7=47, Resulting Numbers: [25, 47]
Generated Node #0,4,4: 61:[25, 47] Operation: 40+7=47
Moving to Node #0,4,0
Current State: 61:[40, 32], Operations: ['11+14=25', '7+25=32']
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 40*32=1280, Resulting Numbers: [1280]
1280,61 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Moving to Node #0,4,4
Current State: 61:[25, 47], Operations: ['11+14=25', '40+7=47']
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,61 unequal: No Solution
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 25*47=1175, Resulting Numbers: [1175]
1175,61 unequal: No Solution
Moving to Node #0,4,3
Current State: 61:[7, 65], Operations: ['11+14=25', '40+25=65']
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Exploring Operation: 7*65=455, Resulting Numbers: [455]
455,61 unequal: No Solution
Exploring Operation: 7+65=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Moving to Node #0,4,1
Current State: 61:[25, 33], Operations: ['11+14=25', '40-7=33']
Exploring Operation: 25*33=825, Resulting Numbers: [825]
825,61 unequal: No Solution
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Exploring Operation: 25+33=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Moving to Node #0,4,2
Current State: 61:[40, 18], Operations: ['11+14=25', '25-7=18']
Exploring Operation: 40*18=720, Resulting Numbers: [720]
720,61 unequal: No Solution
Exploring Operation: 40+18=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
82,
80,
4,
54
] | 32 | [
"82-54=28",
"4*28=112",
"112-80=32"
] | Current State: 32:[82, 80, 4, 54], Operations: []
Exploring Operation: 82-54=28, Resulting Numbers: [80, 4, 28]
Generated Node #2: [80, 4, 28] from Operation: 82-54=28
Current State: 32:[80, 4, 28], Operations: ['82-54=28']
Exploring Operation: 4*28=112, Resulting Numbers: [80, 112]
Generated Node #3: [80, 112] from Operation: 4*28=112
Current State: 32:[80, 112], Operations: ['82-54=28', '4*28=112']
Exploring Operation: 112-80=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[82, 80, 4, 54], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [4, 54, 2]
Generated Node #0,0: 32:[4, 54, 2] Operation: 82-80=2
Exploring Operation: 82-54=28, Resulting Numbers: [80, 4, 28]
Generated Node #0,1: 32:[80, 4, 28] Operation: 82-54=28
Moving to Node #0,0
Current State: 32:[4, 54, 2], Operations: ['82-80=2']
Exploring Operation: 54-4=50, Resulting Numbers: [2, 50]
Generated Node #0,0,0: 32:[2, 50] Operation: 54-4=50
Exploring Operation: 54/2=27, Resulting Numbers: [4, 27]
Generated Node #0,0,1: 32:[4, 27] Operation: 54/2=27
Moving to Node #0,1
Current State: 32:[80, 4, 28], Operations: ['82-54=28']
Exploring Operation: 80/4=20, Resulting Numbers: [28, 20]
Generated Node #0,1,0: 32:[28, 20] Operation: 80/4=20
Exploring Operation: 80-28=52, Resulting Numbers: [4, 52]
Generated Node #0,1,1: 32:[4, 52] Operation: 80-28=52
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 32:[28, 20], Operations: ['82-54=28', '80/4=20']
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[4, 52], Operations: ['82-54=28', '80-28=52']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,32 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,32 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: 32:[4, 27], Operations: ['82-80=2', '54/2=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,32 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[2, 50], Operations: ['82-80=2', '54-4=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,32 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,32 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
12,
29,
46,
16
] | 14 | [
"12+46=58",
"58/29=2",
"16-2=14"
] | Current State: 14:[12, 29, 46, 16], Operations: []
Exploring Operation: 12+46=58, Resulting Numbers: [29, 16, 58]
Generated Node #2: [29, 16, 58] from Operation: 12+46=58
Current State: 14:[29, 16, 58], Operations: ['12+46=58']
Exploring Operation: 58/29=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 58/29=2
Current State: 14:[16, 2], Operations: ['12+46=58', '58/29=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[12, 29, 46, 16], Operations: []
Exploring Operation: 29-16=13, Resulting Numbers: [12, 46, 13]
Generated Node #0,0: 14:[12, 46, 13] Operation: 29-16=13
Exploring Operation: 46-16=30, Resulting Numbers: [12, 29, 30]
Generated Node #0,1: 14:[12, 29, 30] Operation: 46-16=30
Exploring Operation: 46-12=34, Resulting Numbers: [29, 16, 34]
Generated Node #0,2: 14:[29, 16, 34] Operation: 46-12=34
Exploring Operation: 46-29=17, Resulting Numbers: [12, 16, 17]
Generated Node #0,3: 14:[12, 16, 17] Operation: 46-29=17
Exploring Operation: 29-12=17, Resulting Numbers: [46, 16, 17]
Generated Node #0,4: 14:[46, 16, 17] Operation: 29-12=17
Start Sub Search at level 1: Moving to Node #0,3
Current State: 14:[12, 16, 17], Operations: ['46-29=17']
Exploring Operation: 17-16=1, Resulting Numbers: [12, 1]
Generated Node #0,3,0: 14:[12, 1] Operation: 17-16=1
Exploring Operation: 17-12=5, Resulting Numbers: [16, 5]
Generated Node #0,3,1: 14:[16, 5] Operation: 17-12=5
Exploring Operation: 12+16=28, Resulting Numbers: [17, 28]
Generated Node #0,3,2: 14:[17, 28] Operation: 12+16=28
Exploring Operation: 16-12=4, Resulting Numbers: [17, 4]
Generated Node #0,3,3: 14:[17, 4] Operation: 16-12=4
Exploring Operation: 12+17=29, Resulting Numbers: [16, 29]
Generated Node #0,3,4: 14:[16, 29] Operation: 12+17=29
Moving to Node #0,3,0
Current State: 14:[12, 1], Operations: ['46-29=17', '17-16=1']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Moving to Node #0,3,1
Current State: 14:[16, 5], Operations: ['46-29=17', '17-12=5']
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,14 unequal: No Solution
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,14 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Moving to Node #0,3,3
Current State: 14:[17, 4], Operations: ['46-29=17', '16-12=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,14 unequal: No Solution
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,14 unequal: No Solution
Moving to Node #0,3,2
Current State: 14:[17, 28], Operations: ['46-29=17', '12+16=28']
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,14 unequal: No Solution
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,14 unequal: No Solution
Moving to Node #0,3,4
Current State: 14:[16, 29], Operations: ['46-29=17', '12+17=29']
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,14 unequal: No Solution
Exploring Operation: 16*29=464, Resulting Numbers: [464]
464,14 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[12, 29, 30], Operations: ['46-16=30']
Exploring Operation: 30-12=18, Resulting Numbers: [29, 18]
Generated Node #0,1,0: 14:[29, 18] Operation: 30-12=18
Exploring Operation: 12+30=42, Resulting Numbers: [29, 42]
Generated Node #0,1,1: 14:[29, 42] Operation: 12+30=42
Exploring Operation: 12+29=41, Resulting Numbers: [30, 41]
Generated Node #0,1,2: 14:[30, 41] Operation: 12+29=41
Exploring Operation: 29-12=17, Resulting Numbers: [30, 17]
Generated Node #0,1,3: 14:[30, 17] Operation: 29-12=17
Exploring Operation: 30-29=1, Resulting Numbers: [12, 1]
Generated Node #0,1,4: 14:[12, 1] Operation: 30-29=1
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 14:[12, 1], Operations: ['46-16=30', '30-29=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No 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: 14:[29, 18], Operations: ['46-16=30', '30-12=18']
Exploring Operation: 29*18=522, Resulting Numbers: [522]
522,14 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 29+18=47, Resulting Numbers: [47]
47,14 unequal: No Solution
No 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: 14:[30, 17], Operations: ['46-16=30', '29-12=17']
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 30*17=510, Resulting Numbers: [510]
510,14 unequal: No Solution
No 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: 14:[29, 42], Operations: ['46-16=30', '12+30=42']
Exploring Operation: 29*42=1218, Resulting Numbers: [1218]
1218,14 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 29+42=71, Resulting Numbers: [71]
71,14 unequal: No Solution
No 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: 14:[30, 41], Operations: ['46-16=30', '12+29=41']
Exploring Operation: 30*41=1230, Resulting Numbers: [1230]
1230,14 unequal: No Solution
Exploring Operation: 30+41=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,14 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: 14:[12, 46, 13], Operations: ['29-16=13']
Exploring Operation: 12+46=58, Resulting Numbers: [13, 58]
Generated Node #0,0,0: 14:[13, 58] Operation: 12+46=58
Exploring Operation: 13-12=1, Resulting Numbers: [46, 1]
Generated Node #0,0,1: 14:[46, 1] Operation: 13-12=1
Exploring Operation: 12+13=25, Resulting Numbers: [46, 25]
Generated Node #0,0,2: 14:[46, 25] Operation: 12+13=25
Exploring Operation: 46-13=33, Resulting Numbers: [12, 33]
Generated Node #0,0,3: 14:[12, 33] Operation: 46-13=33
Exploring Operation: 46-12=34, Resulting Numbers: [13, 34]
Generated Node #0,0,4: 14:[13, 34] Operation: 46-12=34
Moving to Node #0,0,3
Current State: 14:[12, 33], Operations: ['29-16=13', '46-13=33']
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,14 unequal: No Solution
Exploring Operation: 12*33=396, Resulting Numbers: [396]
396,14 unequal: No Solution
Exploring Operation: 12+33=45, Resulting Numbers: [45]
45,14 unequal: No Solution
Moving to Node #0,0,4
Current State: 14:[13, 34], Operations: ['29-16=13', '46-12=34']
Exploring Operation: 13+34=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,14 unequal: No Solution
Exploring Operation: 13*34=442, Resulting Numbers: [442]
442,14 unequal: No Solution
Moving to Node #0,0,1
Current State: 14:[46, 1], Operations: ['29-16=13', '13-12=1']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,14 unequal: No Solution
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,14 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,14 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Moving to Node #0,0,2
Current State: 14:[46, 25], Operations: ['29-16=13', '12+13=25']
Exploring Operation: 46+25=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,14 unequal: No Solution
Exploring Operation: 46*25=1150, Resulting Numbers: [1150]
1150,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[13, 58], Operations: ['29-16=13', '12+46=58']
Exploring Operation: 13+58=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,14 unequal: No Solution
Exploring Operation: 13*58=754, Resulting Numbers: [754]
754,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[29, 16, 34], Operations: ['46-12=34']
Exploring Operation: 29+16=45, Resulting Numbers: [34, 45]
Generated Node #0,2,0: 14:[34, 45] Operation: 29+16=45
Exploring Operation: 34-29=5, Resulting Numbers: [16, 5]
Generated Node #0,2,1: 14:[16, 5] Operation: 34-29=5
Exploring Operation: 29+34=63, Resulting Numbers: [16, 63]
Generated Node #0,2,2: 14:[16, 63] Operation: 29+34=63
Exploring Operation: 34-16=18, Resulting Numbers: [29, 18]
Generated Node #0,2,3: 14:[29, 18] Operation: 34-16=18
Exploring Operation: 29-16=13, Resulting Numbers: [34, 13]
Generated Node #0,2,4: 14:[34, 13] Operation: 29-16=13
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 14:[16, 5], Operations: ['46-12=34', '34-29=5']
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,14 unequal: No Solution
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,14 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No 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: 14:[29, 18], Operations: ['46-12=34', '34-16=18']
Exploring Operation: 29*18=522, Resulting Numbers: [522]
522,14 unequal: No Solution
Exploring Operation: 29+18=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No 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: 14:[34, 13], Operations: ['46-12=34', '29-16=13']
Exploring Operation: 34*13=442, Resulting Numbers: [442]
442,14 unequal: No Solution
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,14 unequal: No Solution
No 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: 14:[34, 45], Operations: ['46-12=34', '29+16=45']
Exploring Operation: 34+45=79, Resulting Numbers: [79]
79,14 unequal: No Solution
Exploring Operation: 34*45=1530, Resulting Numbers: [1530]
1530,14 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No 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: 14:[16, 63], Operations: ['46-12=34', '29+34=63']
Exploring Operation: 16*63=1008, Resulting Numbers: [1008]
1008,14 unequal: No Solution
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 16+63=79, Resulting Numbers: [79]
79,14 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: 14:[46, 16, 17], Operations: ['29-12=17']
Exploring Operation: 46+17=63, Resulting Numbers: [16, 63]
Generated Node #0,4,0: 14:[16, 63] Operation: 46+17=63
Exploring Operation: 46-17=29, Resulting Numbers: [16, 29]
Generated Node #0,4,1: 14:[16, 29] Operation: 46-17=29
Exploring Operation: 46+16=62, Resulting Numbers: [17, 62]
Generated Node #0,4,2: 14:[17, 62] Operation: 46+16=62
Exploring Operation: 46-16=30, Resulting Numbers: [17, 30]
Generated Node #0,4,3: 14:[17, 30] Operation: 46-16=30
Exploring Operation: 17-16=1, Resulting Numbers: [46, 1]
Generated Node #0,4,4: 14:[46, 1] Operation: 17-16=1
Moving to Node #0,4,1
Current State: 14:[16, 29], Operations: ['29-12=17', '46-17=29']
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,14 unequal: No Solution
Exploring Operation: 16*29=464, Resulting Numbers: [464]
464,14 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Moving to Node #0,4,3
Current State: 14:[17, 30], Operations: ['29-12=17', '46-16=30']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 17+30=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 17*30=510, Resulting Numbers: [510]
510,14 unequal: No Solution
Moving to Node #0,4,4
Current State: 14:[46, 1], Operations: ['29-12=17', '17-16=1']
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,14 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,14 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,14 unequal: No Solution
Moving to Node #0,4,0
Current State: 14:[16, 63], Operations: ['29-12=17', '46+17=63']
Exploring Operation: 16*63=1008, Resulting Numbers: [1008]
1008,14 unequal: No Solution
Exploring Operation: 16+63=79, Resulting Numbers: [79]
79,14 unequal: No Solution
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Moving to Node #0,4,2
Current State: 14:[17, 62], Operations: ['29-12=17', '46+16=62']
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,14 unequal: No Solution
Exploring Operation: 17*62=1054, Resulting Numbers: [1054]
1054,14 unequal: No Solution
Exploring Operation: 17+62=79, Resulting Numbers: [79]
79,14 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,
32,
46,
7
] | 17 | [
"53-46=7",
"7*7=49",
"49-32=17"
] | Current State: 17:[53, 32, 46, 7], Operations: []
Exploring Operation: 53-46=7, Resulting Numbers: [32, 7, 7]
Generated Node #2: [32, 7, 7] from Operation: 53-46=7
Current State: 17:[32, 7, 7], Operations: ['53-46=7']
Exploring Operation: 7*7=49, Resulting Numbers: [32, 49]
Generated Node #3: [32, 49] from Operation: 7*7=49
Current State: 17:[32, 49], Operations: ['53-46=7', '7*7=49']
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[53, 32, 46, 7], Operations: []
Exploring Operation: 53-46=7, Resulting Numbers: [32, 7, 7]
Generated Node #0,0: 17:[32, 7, 7] Operation: 53-46=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[32, 7, 7], Operations: ['53-46=7']
Exploring Operation: 32-7=25, Resulting Numbers: [7, 25]
Generated Node #0,0,0: 17:[7, 25] Operation: 32-7=25
Moving to Node #0,0,0
Current State: 17:[7, 25], Operations: ['53-46=7', '32-7=25']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,17 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 |
[
47,
44,
76,
55
] | 63 | [
"47-44=3",
"76-55=21",
"3*21=63"
] | Current State: 63:[47, 44, 76, 55], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [76, 55, 3]
Generated Node #2: [76, 55, 3] from Operation: 47-44=3
Current State: 63:[76, 55, 3], Operations: ['47-44=3']
Exploring Operation: 76-55=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 76-55=21
Current State: 63:[3, 21], Operations: ['47-44=3', '76-55=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[47, 44, 76, 55], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [76, 55, 3]
Generated Node #0,0: 63:[76, 55, 3] Operation: 47-44=3
Exploring Operation: 55-47=8, Resulting Numbers: [44, 76, 8]
Generated Node #0,1: 63:[44, 76, 8] Operation: 55-47=8
Exploring Operation: 55-44=11, Resulting Numbers: [47, 76, 11]
Generated Node #0,2: 63:[47, 76, 11] Operation: 55-44=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[76, 55, 3], Operations: ['47-44=3']
Exploring Operation: 55+3=58, Resulting Numbers: [76, 58]
Generated Node #0,0,0: 63:[76, 58] Operation: 55+3=58
Exploring Operation: 76-55=21, Resulting Numbers: [3, 21]
Generated Node #0,0,1: 63:[3, 21] Operation: 76-55=21
Exploring Operation: 76-3=73, Resulting Numbers: [55, 73]
Generated Node #0,0,2: 63:[55, 73] Operation: 76-3=73
Moving to Node #0,0,1
Current State: 63:[3, 21], Operations: ['47-44=3', '76-55=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[47, 44, 76, 55], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [76, 55, 3]
Generated Node #0,0: 63:[76, 55, 3] Operation: 47-44=3
Moving to Node #0,0
Current State: 63:[76, 55, 3], Operations: ['47-44=3']
Exploring Operation: 76-55=21, Resulting Numbers: [3, 21]
Generated Node #0,0,1: 63:[3, 21] Operation: 76-55=21
Moving to Node #0,0,1
Current State: 63:[3, 21], Operations: ['47-44=3', '76-55=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
75,
95,
81,
27
] | 23 | [
"95-75=20",
"81/27=3",
"20+3=23"
] | Current State: 23:[75, 95, 81, 27], Operations: []
Exploring Operation: 95-75=20, Resulting Numbers: [81, 27, 20]
Generated Node #2: [81, 27, 20] from Operation: 95-75=20
Current State: 23:[81, 27, 20], Operations: ['95-75=20']
Exploring Operation: 81/27=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 81/27=3
Current State: 23:[20, 3], Operations: ['95-75=20', '81/27=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[75, 95, 81, 27], Operations: []
Exploring Operation: 95-75=20, Resulting Numbers: [81, 27, 20]
Generated Node #0,0: 23:[81, 27, 20] Operation: 95-75=20
Exploring Operation: 81/27=3, Resulting Numbers: [75, 95, 3]
Generated Node #0,1: 23:[75, 95, 3] Operation: 81/27=3
Exploring Operation: 95-81=14, Resulting Numbers: [75, 27, 14]
Generated Node #0,2: 23:[75, 27, 14] Operation: 95-81=14
Exploring Operation: 81-75=6, Resulting Numbers: [95, 27, 6]
Generated Node #0,3: 23:[95, 27, 6] Operation: 81-75=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[81, 27, 20], Operations: ['95-75=20']
Exploring Operation: 27-20=7, Resulting Numbers: [81, 7]
Generated Node #0,0,0: 23:[81, 7] Operation: 27-20=7
Exploring Operation: 81-27=54, Resulting Numbers: [20, 54]
Generated Node #0,0,1: 23:[20, 54] Operation: 81-27=54
Exploring Operation: 81-20=61, Resulting Numbers: [27, 61]
Generated Node #0,0,2: 23:[27, 61] Operation: 81-20=61
Exploring Operation: 81/27=3, Resulting Numbers: [20, 3]
Generated Node #0,0,3: 23:[20, 3] Operation: 81/27=3
Moving to Node #0,0,3
Current State: 23:[20, 3], Operations: ['95-75=20', '81/27=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[75, 95, 81, 27], Operations: []
Exploring Operation: 95-75=20, Resulting Numbers: [81, 27, 20]
Generated Node #0,0: 23:[81, 27, 20] Operation: 95-75=20
Moving to Node #0,0
Current State: 23:[81, 27, 20], Operations: ['95-75=20']
Exploring Operation: 81/27=3, Resulting Numbers: [20, 3]
Generated Node #0,0,3: 23:[20, 3] Operation: 81/27=3
Moving to Node #0,0,3
Current State: 23:[20, 3], Operations: ['95-75=20', '81/27=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
3,
44,
64,
54
] | 54 | [
"3*54=162",
"44+64=108",
"162-108=54"
] | Current State: 54:[3, 44, 64, 54], Operations: []
Exploring Operation: 3*54=162, Resulting Numbers: [44, 64, 162]
Generated Node #2: [44, 64, 162] from Operation: 3*54=162
Current State: 54:[44, 64, 162], Operations: ['3*54=162']
Exploring Operation: 44+64=108, Resulting Numbers: [162, 108]
Generated Node #3: [162, 108] from Operation: 44+64=108
Current State: 54:[162, 108], Operations: ['3*54=162', '44+64=108']
Exploring Operation: 162-108=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[3, 44, 64, 54], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [3, 54, 20]
Generated Node #0,0: 54:[3, 54, 20] Operation: 64-44=20
Moving to Node #0,0
Current State: 54:[3, 54, 20], Operations: ['64-44=20']
Exploring Operation: 20-3=17, Resulting Numbers: [54, 17]
Generated Node #0,0,0: 54:[54, 17] Operation: 20-3=17
Moving to Node #0,0,0
Current State: 54:[54, 17], Operations: ['64-44=20', '20-3=17']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,54 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
55,
95,
79,
60
] | 38 | [
"79-55=24",
"95*24=2280",
"2280/60=38"
] | Current State: 38:[55, 95, 79, 60], Operations: []
Exploring Operation: 79-55=24, Resulting Numbers: [95, 60, 24]
Generated Node #2: [95, 60, 24] from Operation: 79-55=24
Current State: 38:[95, 60, 24], Operations: ['79-55=24']
Exploring Operation: 95*24=2280, Resulting Numbers: [60, 2280]
Generated Node #3: [60, 2280] from Operation: 95*24=2280
Current State: 38:[60, 2280], Operations: ['79-55=24', '95*24=2280']
Exploring Operation: 2280/60=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[55, 95, 79, 60], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [79, 60, 40]
Generated Node #0,0: 38:[79, 60, 40] Operation: 95-55=40
Exploring Operation: 95-79=16, Resulting Numbers: [55, 60, 16]
Generated Node #0,1: 38:[55, 60, 16] Operation: 95-79=16
Exploring Operation: 95-60=35, Resulting Numbers: [55, 79, 35]
Generated Node #0,2: 38:[55, 79, 35] Operation: 95-60=35
Moving to Node #0,1
Current State: 38:[55, 60, 16], Operations: ['95-79=16']
Exploring Operation: 60-16=44, Resulting Numbers: [55, 44]
Generated Node #0,1,0: 38:[55, 44] Operation: 60-16=44
Exploring Operation: 60-55=5, Resulting Numbers: [16, 5]
Generated Node #0,1,1: 38:[16, 5] Operation: 60-55=5
Exploring Operation: 55-16=39, Resulting Numbers: [60, 39]
Generated Node #0,1,2: 38:[60, 39] Operation: 55-16=39
Moving to Node #0,2
Current State: 38:[55, 79, 35], Operations: ['95-60=35']
Exploring Operation: 55-35=20, Resulting Numbers: [79, 20]
Generated Node #0,2,0: 38:[79, 20] Operation: 55-35=20
Exploring Operation: 79-35=44, Resulting Numbers: [55, 44]
Generated Node #0,2,1: 38:[55, 44] Operation: 79-35=44
Exploring Operation: 79-55=24, Resulting Numbers: [35, 24]
Generated Node #0,2,2: 38:[35, 24] Operation: 79-55=24
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 38:[35, 24], Operations: ['95-60=35', '79-55=24']
Exploring Operation: 35*24=840, Resulting Numbers: [840]
840,38 unequal: No Solution
Exploring Operation: 35+24=59, Resulting Numbers: [59]
59,38 unequal: No Solution
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 38:[55, 44], Operations: ['95-60=35', '79-35=44']
Exploring Operation: 55*44=2420, Resulting Numbers: [2420]
2420,38 unequal: No Solution
Exploring Operation: 55+44=99, Resulting Numbers: [99]
99,38 unequal: No Solution
Exploring Operation: 55-44=11, Resulting Numbers: [11]
11,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 38:[79, 20], Operations: ['95-60=35', '55-35=20']
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,38 unequal: No Solution
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,38 unequal: No Solution
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,38 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: 38:[79, 60, 40], Operations: ['95-55=40']
Exploring Operation: 60-40=20, Resulting Numbers: [79, 20]
Generated Node #0,0,0: 38:[79, 20] Operation: 60-40=20
Exploring Operation: 79-60=19, Resulting Numbers: [40, 19]
Generated Node #0,0,1: 38:[40, 19] Operation: 79-60=19
Exploring Operation: 79-40=39, Resulting Numbers: [60, 39]
Generated Node #0,0,2: 38:[60, 39] Operation: 79-40=39
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[40, 19], Operations: ['95-55=40', '79-60=19']
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,38 unequal: No Solution
Exploring Operation: 40*19=760, Resulting Numbers: [760]
760,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 38:[60, 39], Operations: ['95-55=40', '79-40=39']
Exploring Operation: 60+39=99, Resulting Numbers: [99]
99,38 unequal: No Solution
Exploring Operation: 60*39=2340, Resulting Numbers: [2340]
2340,38 unequal: No Solution
Exploring Operation: 60-39=21, Resulting Numbers: [21]
21,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[79, 20], Operations: ['95-55=40', '60-40=20']
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,38 unequal: No Solution
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,38 unequal: No Solution
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,38 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: 38:[16, 5], Operations: ['95-79=16', '60-55=5']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[55, 44], Operations: ['95-79=16', '60-16=44']
Exploring Operation: 55*44=2420, Resulting Numbers: [2420]
2420,38 unequal: No Solution
Exploring Operation: 55-44=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 55+44=99, Resulting Numbers: [99]
99,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[60, 39], Operations: ['95-79=16', '55-16=39']
Exploring Operation: 60+39=99, Resulting Numbers: [99]
99,38 unequal: No Solution
Exploring Operation: 60-39=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 60*39=2340, Resulting Numbers: [2340]
2340,38 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
96,
56,
44,
34
] | 25 | [
"44*34=1496",
"1496-96=1400",
"1400/56=25"
] | Current State: 25:[96, 56, 44, 34], Operations: []
Exploring Operation: 44*34=1496, Resulting Numbers: [96, 56, 1496]
Generated Node #2: [96, 56, 1496] from Operation: 44*34=1496
Current State: 25:[96, 56, 1496], Operations: ['44*34=1496']
Exploring Operation: 1496-96=1400, Resulting Numbers: [56, 1400]
Generated Node #3: [56, 1400] from Operation: 1496-96=1400
Current State: 25:[56, 1400], Operations: ['44*34=1496', '1496-96=1400']
Exploring Operation: 1400/56=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[96, 56, 44, 34], Operations: []
Exploring Operation: 56-44=12, Resulting Numbers: [96, 34, 12]
Generated Node #0,0: 25:[96, 34, 12] Operation: 56-44=12
Exploring Operation: 96-56=40, Resulting Numbers: [44, 34, 40]
Generated Node #0,1: 25:[44, 34, 40] Operation: 96-56=40
Exploring Operation: 96-34=62, Resulting Numbers: [56, 44, 62]
Generated Node #0,2: 25:[56, 44, 62] Operation: 96-34=62
Exploring Operation: 96-44=52, Resulting Numbers: [56, 34, 52]
Generated Node #0,3: 25:[56, 34, 52] Operation: 96-44=52
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[44, 34, 40], Operations: ['96-56=40']
Exploring Operation: 44-40=4, Resulting Numbers: [34, 4]
Generated Node #0,1,0: 25:[34, 4] Operation: 44-40=4
Exploring Operation: 40-34=6, Resulting Numbers: [44, 6]
Generated Node #0,1,1: 25:[44, 6] Operation: 40-34=6
Exploring Operation: 44+34=78, Resulting Numbers: [40, 78]
Generated Node #0,1,2: 25:[40, 78] Operation: 44+34=78
Exploring Operation: 44-34=10, Resulting Numbers: [40, 10]
Generated Node #0,1,3: 25:[40, 10] Operation: 44-34=10
Moving to Node #0,1,0
Current State: 25:[34, 4], Operations: ['96-56=40', '44-40=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 34*4=136, Resulting Numbers: [136]
136,25 unequal: No Solution
Moving to Node #0,1,3
Current State: 25:[40, 10], Operations: ['96-56=40', '44-34=10']
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 40*10=400, Resulting Numbers: [400]
400,25 unequal: No Solution
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 40+10=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[44, 6], Operations: ['96-56=40', '40-34=6']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 44*6=264, Resulting Numbers: [264]
264,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[40, 78], Operations: ['96-56=40', '44+34=78']
Exploring Operation: 40+78=118, Resulting Numbers: [118]
118,25 unequal: No Solution
Exploring Operation: 40*78=3120, Resulting Numbers: [3120]
3120,25 unequal: No Solution
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 25:[56, 34, 52], Operations: ['96-44=52']
Exploring Operation: 56-34=22, Resulting Numbers: [52, 22]
Generated Node #0,3,0: 25:[52, 22] Operation: 56-34=22
Exploring Operation: 56+34=90, Resulting Numbers: [52, 90]
Generated Node #0,3,1: 25:[52, 90] Operation: 56+34=90
Exploring Operation: 52-34=18, Resulting Numbers: [56, 18]
Generated Node #0,3,2: 25:[56, 18] Operation: 52-34=18
Exploring Operation: 56-52=4, Resulting Numbers: [34, 4]
Generated Node #0,3,3: 25:[34, 4] Operation: 56-52=4
Moving to Node #0,3,3
Current State: 25:[34, 4], Operations: ['96-44=52', '56-52=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 34*4=136, Resulting Numbers: [136]
136,25 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Moving to Node #0,3,0
Current State: 25:[52, 22], Operations: ['96-44=52', '56-34=22']
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 52*22=1144, Resulting Numbers: [1144]
1144,25 unequal: No Solution
Exploring Operation: 52+22=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Moving to Node #0,3,2
Current State: 25:[56, 18], Operations: ['96-44=52', '52-34=18']
Exploring Operation: 56+18=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 56*18=1008, Resulting Numbers: [1008]
1008,25 unequal: No Solution
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Moving to Node #0,3,1
Current State: 25:[52, 90], Operations: ['96-44=52', '56+34=90']
Exploring Operation: 52+90=142, Resulting Numbers: [142]
142,25 unequal: No Solution
Exploring Operation: 52*90=4680, Resulting Numbers: [4680]
4680,25 unequal: No Solution
Exploring Operation: 90-52=38, Resulting Numbers: [38]
38,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[96, 34, 12], Operations: ['56-44=12']
Exploring Operation: 96-34=62, Resulting Numbers: [12, 62]
Generated Node #0,0,0: 25:[12, 62] Operation: 96-34=62
Exploring Operation: 96-12=84, Resulting Numbers: [34, 84]
Generated Node #0,0,1: 25:[34, 84] Operation: 96-12=84
Exploring Operation: 34-12=22, Resulting Numbers: [96, 22]
Generated Node #0,0,2: 25:[96, 22] Operation: 34-12=22
Exploring Operation: 96/12=8, Resulting Numbers: [34, 8]
Generated Node #0,0,3: 25:[34, 8] Operation: 96/12=8
Moving to Node #0,0,3
Current State: 25:[34, 8], Operations: ['56-44=12', '96/12=8']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 34*8=272, Resulting Numbers: [272]
272,25 unequal: No Solution
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[12, 62], Operations: ['56-44=12', '96-34=62']
Exploring Operation: 12+62=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 12*62=744, Resulting Numbers: [744]
744,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[34, 84], Operations: ['56-44=12', '96-12=84']
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 34*84=2856, Resulting Numbers: [2856]
2856,25 unequal: No Solution
Exploring Operation: 34+84=118, Resulting Numbers: [118]
118,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[96, 22], Operations: ['56-44=12', '34-12=22']
Exploring Operation: 96+22=118, Resulting Numbers: [118]
118,25 unequal: No Solution
Exploring Operation: 96*22=2112, Resulting Numbers: [2112]
2112,25 unequal: No Solution
Exploring Operation: 96-22=74, Resulting Numbers: [74]
74,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[56, 44, 62], Operations: ['96-34=62']
Exploring Operation: 62-44=18, Resulting Numbers: [56, 18]
Generated Node #0,2,0: 25:[56, 18] Operation: 62-44=18
Exploring Operation: 56+44=100, Resulting Numbers: [62, 100]
Generated Node #0,2,1: 25:[62, 100] Operation: 56+44=100
Exploring Operation: 56-44=12, Resulting Numbers: [62, 12]
Generated Node #0,2,2: 25:[62, 12] Operation: 56-44=12
Exploring Operation: 62-56=6, Resulting Numbers: [44, 6]
Generated Node #0,2,3: 25:[44, 6] Operation: 62-56=6
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 25:[44, 6], Operations: ['96-34=62', '62-56=6']
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 44*6=264, Resulting Numbers: [264]
264,25 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 25:[56, 18], Operations: ['96-34=62', '62-44=18']
Exploring Operation: 56*18=1008, Resulting Numbers: [1008]
1008,25 unequal: No Solution
Exploring Operation: 56+18=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 25:[62, 12], Operations: ['96-34=62', '56-44=12']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 62*12=744, Resulting Numbers: [744]
744,25 unequal: No Solution
Exploring Operation: 62+12=74, Resulting Numbers: [74]
74,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 25:[62, 100], Operations: ['96-34=62', '56+44=100']
Exploring Operation: 100-62=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 62*100=6200, Resulting Numbers: [6200]
6200,25 unequal: No Solution
Exploring Operation: 62+100=162, Resulting Numbers: [162]
162,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
4,
37,
37,
42
] | 69 | [
"4*37=148",
"37+42=79",
"148-79=69"
] | Current State: 69:[4, 37, 37, 42], Operations: []
Exploring Operation: 4*37=148, Resulting Numbers: [42, 148]
Generated Node #2: [42, 148] from Operation: 4*37=148
Current State: 69:[42, 148], Operations: ['4*37=148']
Exploring Operation: 37+42=79, Resulting Numbers: [148, 79]
Generated Node #3: [148, 79] from Operation: 37+42=79
Current State: 69:[148, 79], Operations: ['4*37=148', '37+42=79']
Exploring Operation: 148-79=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[4, 37, 37, 42], Operations: []
Exploring Operation: 37/37=1, Resulting Numbers: [4, 42, 1]
Generated Node #0,0: 69:[4, 42, 1] Operation: 37/37=1
Exploring Operation: 42-37=5, Resulting Numbers: [4, 37, 5]
Generated Node #0,1: 69:[4, 37, 5] Operation: 42-37=5
Exploring Operation: 42-37=5, Resulting Numbers: [4, 37, 5]
Generated Node #0,2: 69:[4, 37, 5] Operation: 42-37=5
Moving to Node #0,1
Current State: 69:[4, 37, 5], Operations: ['42-37=5']
Exploring Operation: 5-4=1, Resulting Numbers: [37, 1]
Generated Node #0,1,0: 69:[37, 1] Operation: 5-4=1
Exploring Operation: 37-4=33, Resulting Numbers: [5, 33]
Generated Node #0,1,1: 69:[5, 33] Operation: 37-4=33
Exploring Operation: 37-5=32, Resulting Numbers: [4, 32]
Generated Node #0,1,2: 69:[4, 32] Operation: 37-5=32
Moving to Node #0,2
Current State: 69:[4, 37, 5], Operations: ['42-37=5']
Exploring Operation: 5-4=1, Resulting Numbers: [37, 1]
Generated Node #0,2,0: 69:[37, 1] Operation: 5-4=1
Exploring Operation: 37-4=33, Resulting Numbers: [5, 33]
Generated Node #0,2,1: 69:[5, 33] Operation: 37-4=33
Exploring Operation: 37-5=32, Resulting Numbers: [4, 32]
Generated Node #0,2,2: 69:[4, 32] Operation: 37-5=32
Moving to Node #0,0
Current State: 69:[4, 42, 1], Operations: ['37/37=1']
Exploring Operation: 42-1=41, Resulting Numbers: [4, 41]
Generated Node #0,0,0: 69:[4, 41] Operation: 42-1=41
Exploring Operation: 42-4=38, Resulting Numbers: [1, 38]
Generated Node #0,0,1: 69:[1, 38] Operation: 42-4=38
Exploring Operation: 4-1=3, Resulting Numbers: [42, 3]
Generated Node #0,0,2: 69:[42, 3] Operation: 4-1=3
Moving to Node #0,1,2
Current State: 69:[4, 32], Operations: ['42-37=5', '37-5=32']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[4, 32], Operations: ['42-37=5', '37-5=32']
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[5, 33], Operations: ['42-37=5', '37-4=33']
Exploring Operation: 5*33=165, Resulting Numbers: [165]
165,69 unequal: No Solution
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[5, 33], Operations: ['42-37=5', '37-4=33']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Exploring Operation: 5*33=165, Resulting Numbers: [165]
165,69 unequal: No Solution
Moving to Node #0,1,0
Current State: 69:[37, 1], Operations: ['42-37=5', '5-4=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,69 unequal: No Solution
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,69 unequal: No Solution
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[37, 1], Operations: ['42-37=5', '5-4=1']
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,69 unequal: No Solution
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[1, 38], Operations: ['37/37=1', '42-4=38']
Exploring Operation: 1*38=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[4, 41], Operations: ['37/37=1', '42-1=41']
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,69 unequal: No Solution
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,69 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[42, 3], Operations: ['37/37=1', '4-1=3']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,69 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,69 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
19,
81,
61,
66
] | 65 | [
"81-19=62",
"61+66=127",
"127-62=65"
] | Current State: 65:[19, 81, 61, 66], Operations: []
Exploring Operation: 81-19=62, Resulting Numbers: [61, 66, 62]
Generated Node #2: [61, 66, 62] from Operation: 81-19=62
Current State: 65:[61, 66, 62], Operations: ['81-19=62']
Exploring Operation: 61+66=127, Resulting Numbers: [62, 127]
Generated Node #3: [62, 127] from Operation: 61+66=127
Current State: 65:[62, 127], Operations: ['81-19=62', '61+66=127']
Exploring Operation: 127-62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[19, 81, 61, 66], Operations: []
Exploring Operation: 81-19=62, Resulting Numbers: [61, 66, 62]
Generated Node #0,0: 65:[61, 66, 62] Operation: 81-19=62
Exploring Operation: 81-61=20, Resulting Numbers: [19, 66, 20]
Generated Node #0,1: 65:[19, 66, 20] Operation: 81-61=20
Exploring Operation: 81-66=15, Resulting Numbers: [19, 61, 15]
Generated Node #0,2: 65:[19, 61, 15] Operation: 81-66=15
Exploring Operation: 66-61=5, Resulting Numbers: [19, 81, 5]
Generated Node #0,3: 65:[19, 81, 5] Operation: 66-61=5
Exploring Operation: 19+61=80, Resulting Numbers: [81, 66, 80]
Generated Node #0,4: 65:[81, 66, 80] Operation: 19+61=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[61, 66, 62], Operations: ['81-19=62']
Exploring Operation: 61+62=123, Resulting Numbers: [66, 123]
Generated Node #0,0,0: 65:[66, 123] Operation: 61+62=123
Exploring Operation: 66-61=5, Resulting Numbers: [62, 5]
Generated Node #0,0,1: 65:[62, 5] Operation: 66-61=5
Exploring Operation: 61+66=127, Resulting Numbers: [62, 127]
Generated Node #0,0,2: 65:[62, 127] Operation: 61+66=127
Exploring Operation: 62-61=1, Resulting Numbers: [66, 1]
Generated Node #0,0,3: 65:[66, 1] Operation: 62-61=1
Exploring Operation: 66-62=4, Resulting Numbers: [61, 4]
Generated Node #0,0,4: 65:[61, 4] Operation: 66-62=4
Moving to Node #0,0,1
Current State: 65:[62, 5], Operations: ['81-19=62', '66-61=5']
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,65 unequal: No Solution
Exploring Operation: 62*5=310, Resulting Numbers: [310]
310,65 unequal: No Solution
Moving to Node #0,0,4
Current State: 65:[61, 4], Operations: ['81-19=62', '66-62=4']
Exploring Operation: 61*4=244, Resulting Numbers: [244]
244,65 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,65 unequal: No Solution
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[19, 81, 61, 66], Operations: []
Exploring Operation: 81-19=62, Resulting Numbers: [61, 66, 62]
Generated Node #0,0: 65:[61, 66, 62] Operation: 81-19=62
Moving to Node #0,0
Current State: 65:[61, 66, 62], Operations: ['81-19=62']
Exploring Operation: 66-62=4, Resulting Numbers: [61, 4]
Generated Node #0,0,4: 65:[61, 4] Operation: 66-62=4
Moving to Node #0,0,4
Current State: 65:[61, 4], Operations: ['81-19=62', '66-62=4']
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
68,
30,
52,
12
] | 34 | [
"68+30=98",
"52+12=64",
"98-64=34"
] | Current State: 34:[68, 30, 52, 12], Operations: []
Exploring Operation: 68+30=98, Resulting Numbers: [52, 12, 98]
Generated Node #2: [52, 12, 98] from Operation: 68+30=98
Current State: 34:[52, 12, 98], Operations: ['68+30=98']
Exploring Operation: 52+12=64, Resulting Numbers: [98, 64]
Generated Node #3: [98, 64] from Operation: 52+12=64
Current State: 34:[98, 64], Operations: ['68+30=98', '52+12=64']
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[68, 30, 52, 12], Operations: []
Exploring Operation: 52-30=22, Resulting Numbers: [68, 12, 22]
Generated Node #0,0: 34:[68, 12, 22] Operation: 52-30=22
Exploring Operation: 68-52=16, Resulting Numbers: [30, 12, 16]
Generated Node #0,1: 34:[30, 12, 16] Operation: 68-52=16
Exploring Operation: 68-30=38, Resulting Numbers: [52, 12, 38]
Generated Node #0,2: 34:[52, 12, 38] Operation: 68-30=38
Exploring Operation: 52-12=40, Resulting Numbers: [68, 30, 40]
Generated Node #0,3: 34:[68, 30, 40] Operation: 52-12=40
Exploring Operation: 68-12=56, Resulting Numbers: [30, 52, 56]
Generated Node #0,4: 34:[30, 52, 56] Operation: 68-12=56
Moving to Node #0,1
Current State: 34:[30, 12, 16], Operations: ['68-52=16']
Exploring Operation: 30+12=42, Resulting Numbers: [16, 42]
Generated Node #0,1,0: 34:[16, 42] Operation: 30+12=42
Exploring Operation: 16-12=4, Resulting Numbers: [30, 4]
Generated Node #0,1,1: 34:[30, 4] Operation: 16-12=4
Exploring Operation: 30-12=18, Resulting Numbers: [16, 18]
Generated Node #0,1,2: 34:[16, 18] Operation: 30-12=18
Exploring Operation: 30-16=14, Resulting Numbers: [12, 14]
Generated Node #0,1,3: 34:[12, 14] Operation: 30-16=14
Exploring Operation: 12+16=28, Resulting Numbers: [30, 28]
Generated Node #0,1,4: 34:[30, 28] Operation: 12+16=28
Moving to Node #0,2
Current State: 34:[52, 12, 38], Operations: ['68-30=38']
Exploring Operation: 52-12=40, Resulting Numbers: [38, 40]
Generated Node #0,2,0: 34:[38, 40] Operation: 52-12=40
Exploring Operation: 12+38=50, Resulting Numbers: [52, 50]
Generated Node #0,2,1: 34:[52, 50] Operation: 12+38=50
Exploring Operation: 52-38=14, Resulting Numbers: [12, 14]
Generated Node #0,2,2: 34:[12, 14] Operation: 52-38=14
Exploring Operation: 38-12=26, Resulting Numbers: [52, 26]
Generated Node #0,2,3: 34:[52, 26] Operation: 38-12=26
Exploring Operation: 52+12=64, Resulting Numbers: [38, 64]
Generated Node #0,2,4: 34:[38, 64] Operation: 52+12=64
Moving to Node #0,0
Current State: 34:[68, 12, 22], Operations: ['52-30=22']
Exploring Operation: 68-12=56, Resulting Numbers: [22, 56]
Generated Node #0,0,0: 34:[22, 56] Operation: 68-12=56
Exploring Operation: 12+22=34, Resulting Numbers: [68, 34]
Generated Node #0,0,1: 34:[68, 34] Operation: 12+22=34
Exploring Operation: 22-12=10, Resulting Numbers: [68, 10]
Generated Node #0,0,2: 34:[68, 10] Operation: 22-12=10
Exploring Operation: 68-22=46, Resulting Numbers: [12, 46]
Generated Node #0,0,3: 34:[12, 46] Operation: 68-22=46
Exploring Operation: 68+12=80, Resulting Numbers: [22, 80]
Generated Node #0,0,4: 34:[22, 80] Operation: 68+12=80
Moving to Node #0,3
Current State: 34:[68, 30, 40], Operations: ['52-12=40']
Exploring Operation: 68+30=98, Resulting Numbers: [40, 98]
Generated Node #0,3,0: 34:[40, 98] Operation: 68+30=98
Exploring Operation: 40-30=10, Resulting Numbers: [68, 10]
Generated Node #0,3,1: 34:[68, 10] Operation: 40-30=10
Exploring Operation: 68-30=38, Resulting Numbers: [40, 38]
Generated Node #0,3,2: 34:[40, 38] Operation: 68-30=38
Exploring Operation: 30+40=70, Resulting Numbers: [68, 70]
Generated Node #0,3,3: 34:[68, 70] Operation: 30+40=70
Exploring Operation: 68-40=28, Resulting Numbers: [30, 28]
Generated Node #0,3,4: 34:[30, 28] Operation: 68-40=28
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 34:[40, 38], Operations: ['52-12=40', '68-30=38']
Exploring Operation: 40+38=78, Resulting Numbers: [78]
78,34 unequal: No Solution
Exploring Operation: 40*38=1520, Resulting Numbers: [1520]
1520,34 unequal: No Solution
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,34 unequal: No Solution
No 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: 34:[30, 28], Operations: ['52-12=40', '68-40=28']
Exploring Operation: 30*28=840, Resulting Numbers: [840]
840,34 unequal: No Solution
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,34 unequal: No Solution
No 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: 34:[68, 10], Operations: ['52-12=40', '40-30=10']
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,34 unequal: No Solution
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,34 unequal: No Solution
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,34 unequal: No Solution
No 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: 34:[40, 98], Operations: ['52-12=40', '68+30=98']
Exploring Operation: 40*98=3920, Resulting Numbers: [3920]
3920,34 unequal: No Solution
Exploring Operation: 40+98=138, Resulting Numbers: [138]
138,34 unequal: No Solution
Exploring Operation: 98-40=58, Resulting Numbers: [58]
58,34 unequal: No Solution
No 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: 34:[68, 70], Operations: ['52-12=40', '30+40=70']
Exploring Operation: 68*70=4760, Resulting Numbers: [4760]
4760,34 unequal: No Solution
Exploring Operation: 68+70=138, Resulting Numbers: [138]
138,34 unequal: No Solution
Exploring Operation: 70-68=2, Resulting Numbers: [2]
2,34 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: 34:[30, 52, 56], Operations: ['68-12=56']
Exploring Operation: 30+52=82, Resulting Numbers: [56, 82]
Generated Node #0,4,0: 34:[56, 82] Operation: 30+52=82
Exploring Operation: 56-52=4, Resulting Numbers: [30, 4]
Generated Node #0,4,1: 34:[30, 4] Operation: 56-52=4
Exploring Operation: 56-30=26, Resulting Numbers: [52, 26]
Generated Node #0,4,2: 34:[52, 26] Operation: 56-30=26
Exploring Operation: 30+56=86, Resulting Numbers: [52, 86]
Generated Node #0,4,3: 34:[52, 86] Operation: 30+56=86
Exploring Operation: 52-30=22, Resulting Numbers: [56, 22]
Generated Node #0,4,4: 34:[56, 22] Operation: 52-30=22
Moving to Node #0,1,2
Current State: 34:[16, 18], Operations: ['68-52=16', '30-12=18']
Exploring Operation: 16*18=288, Resulting Numbers: [288]
288,34 unequal: No Solution
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 16+18=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[68, 30, 52, 12], Operations: []
Exploring Operation: 68-52=16, Resulting Numbers: [30, 12, 16]
Generated Node #0,1: 34:[30, 12, 16] Operation: 68-52=16
Moving to Node #0,1
Current State: 34:[30, 12, 16], Operations: ['68-52=16']
Exploring Operation: 30-12=18, Resulting Numbers: [16, 18]
Generated Node #0,1,2: 34:[16, 18] Operation: 30-12=18
Moving to Node #0,1,2
Current State: 34:[16, 18], Operations: ['68-52=16', '30-12=18']
Exploring Operation: 16+18=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.954861 | hs_5 | sum_heuristic |
[
4,
96,
95,
95
] | 93 | [
"96-4=92",
"95/95=1",
"92+1=93"
] | Current State: 93:[4, 96, 95, 95], Operations: []
Exploring Operation: 96-4=92, Resulting Numbers: [95, 95, 92]
Generated Node #2: [95, 95, 92] from Operation: 96-4=92
Current State: 93:[95, 95, 92], Operations: ['96-4=92']
Exploring Operation: 95/95=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 95/95=1
Current State: 93:[92, 1], Operations: ['96-4=92', '95/95=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[4, 96, 95, 95], Operations: []
Exploring Operation: 96-4=92, Resulting Numbers: [95, 95, 92]
Generated Node #0,0: 93:[95, 95, 92] Operation: 96-4=92
Exploring Operation: 96-95=1, Resulting Numbers: [4, 95, 1]
Generated Node #0,1: 93:[4, 95, 1] Operation: 96-95=1
Exploring Operation: 96-95=1, Resulting Numbers: [4, 95, 1]
Generated Node #0,2: 93:[4, 95, 1] Operation: 96-95=1
Exploring Operation: 95/95=1, Resulting Numbers: [4, 96, 1]
Generated Node #0,3: 93:[4, 96, 1] Operation: 95/95=1
Moving to Node #0,0
Current State: 93:[95, 95, 92], Operations: ['96-4=92']
Exploring Operation: 95-92=3, Resulting Numbers: [95, 3]
Generated Node #0,0,0: 93:[95, 3] Operation: 95-92=3
Exploring Operation: 95/95=1, Resulting Numbers: [92, 1]
Generated Node #0,0,1: 93:[92, 1] Operation: 95/95=1
Exploring Operation: 95-92=3, Resulting Numbers: [95, 3]
Generated Node #0,0,2: 93:[95, 3] Operation: 95-92=3
Exploring Operation: 95-95=0, Resulting Numbers: [92, 0]
Generated Node #0,0,3: 93:[92, 0] Operation: 95-95=0
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[95, 3], Operations: ['96-4=92', '95-92=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Exploring Operation: 95*3=285, Resulting Numbers: [285]
285,93 unequal: No Solution
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,93 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 #0,0,2
Current State: 93:[95, 3], Operations: ['96-4=92', '95-92=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,93 unequal: No Solution
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Exploring Operation: 95*3=285, Resulting Numbers: [285]
285,93 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 #0,0,1
Current State: 93:[92, 1], Operations: ['96-4=92', '95/95=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[4, 96, 95, 95], Operations: []
Exploring Operation: 96-4=92, Resulting Numbers: [95, 95, 92]
Generated Node #0,0: 93:[95, 95, 92] Operation: 96-4=92
Moving to Node #0,0
Current State: 93:[95, 95, 92], Operations: ['96-4=92']
Exploring Operation: 95/95=1, Resulting Numbers: [92, 1]
Generated Node #0,0,1: 93:[92, 1] Operation: 95/95=1
Moving to Node #0,0,1
Current State: 93:[92, 1], Operations: ['96-4=92', '95/95=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
96,
91,
9,
12
] | 90 | [
"96/12=8",
"91-9=82",
"8+82=90"
] | Current State: 90:[96, 91, 9, 12], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [91, 9, 8]
Generated Node #2: [91, 9, 8] from Operation: 96/12=8
Current State: 90:[91, 9, 8], Operations: ['96/12=8']
Exploring Operation: 91-9=82, Resulting Numbers: [8, 82]
Generated Node #3: [8, 82] from Operation: 91-9=82
Current State: 90:[8, 82], Operations: ['96/12=8', '91-9=82']
Exploring Operation: 8+82=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[96, 91, 9, 12], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [91, 9, 8]
Generated Node #0,0: 90:[91, 9, 8] Operation: 96/12=8
Exploring Operation: 96-91=5, Resulting Numbers: [9, 12, 5]
Generated Node #0,1: 90:[9, 12, 5] Operation: 96-91=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[91, 9, 8], Operations: ['96/12=8']
Exploring Operation: 9+8=17, Resulting Numbers: [91, 17]
Generated Node #0,0,0: 90:[91, 17] Operation: 9+8=17
Exploring Operation: 9-8=1, Resulting Numbers: [91, 1]
Generated Node #0,0,1: 90:[91, 1] Operation: 9-8=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[91, 17], Operations: ['96/12=8', '9+8=17']
Exploring Operation: 91+17=108, Resulting Numbers: [108]
108,90 unequal: No Solution
Exploring Operation: 91-17=74, Resulting Numbers: [74]
74,90 unequal: No Solution
No 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: 90:[91, 1], Operations: ['96/12=8', '9-8=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,90 unequal: No Solution
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[96, 91, 9, 12], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [91, 9, 8]
Generated Node #0,0: 90:[91, 9, 8] Operation: 96/12=8
Moving to Node #0,0
Current State: 90:[91, 9, 8], Operations: ['96/12=8']
Exploring Operation: 9-8=1, Resulting Numbers: [91, 1]
Generated Node #0,0,1: 90:[91, 1] Operation: 9-8=1
Moving to Node #0,0,1
Current State: 90:[91, 1], Operations: ['96/12=8', '9-8=1']
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
69,
66,
29,
89
] | 20 | [
"69-66=3",
"89-29=60",
"60/3=20"
] | Current State: 20:[69, 66, 29, 89], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [29, 89, 3]
Generated Node #2: [29, 89, 3] from Operation: 69-66=3
Current State: 20:[29, 89, 3], Operations: ['69-66=3']
Exploring Operation: 89-29=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 89-29=60
Current State: 20:[3, 60], Operations: ['69-66=3', '89-29=60']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[69, 66, 29, 89], Operations: []
Exploring Operation: 89-69=20, Resulting Numbers: [66, 29, 20]
Generated Node #0,0: 20:[66, 29, 20] Operation: 89-69=20
Moving to Node #0,0
Current State: 20:[66, 29, 20], Operations: ['89-69=20']
Exploring Operation: 66-29=37, Resulting Numbers: [20, 37]
Generated Node #0,0,0: 20:[20, 37] Operation: 66-29=37
Moving to Node #0,0,0
Current State: 20:[20, 37], Operations: ['89-69=20', '66-29=37']
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,20 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
52,
53,
78,
20
] | 57 | [
"53-52=1",
"78-20=58",
"58-1=57"
] | Current State: 57:[52, 53, 78, 20], Operations: []
Exploring Operation: 53-52=1, Resulting Numbers: [78, 20, 1]
Generated Node #2: [78, 20, 1] from Operation: 53-52=1
Current State: 57:[78, 20, 1], Operations: ['53-52=1']
Exploring Operation: 78-20=58, Resulting Numbers: [1, 58]
Generated Node #3: [1, 58] from Operation: 78-20=58
Current State: 57:[1, 58], Operations: ['53-52=1', '78-20=58']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[52, 53, 78, 20], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [53, 20, 26]
Generated Node #0,0: 57:[53, 20, 26] Operation: 78-52=26
Exploring Operation: 78-20=58, Resulting Numbers: [52, 53, 58]
Generated Node #0,1: 57:[52, 53, 58] Operation: 78-20=58
Moving to Node #0,1
Current State: 57:[52, 53, 58], Operations: ['78-20=58']
Exploring Operation: 58-52=6, Resulting Numbers: [53, 6]
Generated Node #0,1,0: 57:[53, 6] Operation: 58-52=6
Exploring Operation: 53-52=1, Resulting Numbers: [58, 1]
Generated Node #0,1,1: 57:[58, 1] Operation: 53-52=1
Moving to Node #0,0
Current State: 57:[53, 20, 26], Operations: ['78-52=26']
Exploring Operation: 26-20=6, Resulting Numbers: [53, 6]
Generated Node #0,0,0: 57:[53, 6] Operation: 26-20=6
Exploring Operation: 53-26=27, Resulting Numbers: [20, 27]
Generated Node #0,0,1: 57:[20, 27] Operation: 53-26=27
Moving to Node #0,1,1
Current State: 57:[58, 1], Operations: ['78-20=58', '53-52=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[52, 53, 78, 20], Operations: []
Exploring Operation: 78-20=58, Resulting Numbers: [52, 53, 58]
Generated Node #0,1: 57:[52, 53, 58] Operation: 78-20=58
Moving to Node #0,1
Current State: 57:[52, 53, 58], Operations: ['78-20=58']
Exploring Operation: 53-52=1, Resulting Numbers: [58, 1]
Generated Node #0,1,1: 57:[58, 1] Operation: 53-52=1
Moving to Node #0,1,1
Current State: 57:[58, 1], Operations: ['78-20=58', '53-52=1']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
12,
2,
51,
57
] | 94 | [
"12+2=14",
"51+57=108",
"108-14=94"
] | Current State: 94:[12, 2, 51, 57], Operations: []
Exploring Operation: 12+2=14, Resulting Numbers: [51, 57, 14]
Generated Node #2: [51, 57, 14] from Operation: 12+2=14
Current State: 94:[51, 57, 14], Operations: ['12+2=14']
Exploring Operation: 51+57=108, Resulting Numbers: [14, 108]
Generated Node #3: [14, 108] from Operation: 51+57=108
Current State: 94:[14, 108], Operations: ['12+2=14', '51+57=108']
Exploring Operation: 108-14=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[12, 2, 51, 57], Operations: []
Exploring Operation: 57-12=45, Resulting Numbers: [2, 51, 45]
Generated Node #0,0: 94:[2, 51, 45] Operation: 57-12=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[2, 51, 45], Operations: ['57-12=45']
Exploring Operation: 51+45=96, Resulting Numbers: [2, 96]
Generated Node #0,0,0: 94:[2, 96] Operation: 51+45=96
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[2, 96], Operations: ['57-12=45', '51+45=96']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[12, 2, 51, 57], Operations: []
Exploring Operation: 57-12=45, Resulting Numbers: [2, 51, 45]
Generated Node #0,0: 94:[2, 51, 45] Operation: 57-12=45
Moving to Node #0,0
Current State: 94:[2, 51, 45], Operations: ['57-12=45']
Exploring Operation: 51+45=96, Resulting Numbers: [2, 96]
Generated Node #0,0,0: 94:[2, 96] Operation: 51+45=96
Moving to Node #0,0,0
Current State: 94:[2, 96], Operations: ['57-12=45', '51+45=96']
Exploring Operation: 96-2=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 | mult_heuristic |
[
16,
51,
66,
64
] | 60 | [
"64/16=4",
"66-51=15",
"4*15=60"
] | Current State: 60:[16, 51, 66, 64], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [51, 66, 4]
Generated Node #2: [51, 66, 4] from Operation: 64/16=4
Current State: 60:[51, 66, 4], Operations: ['64/16=4']
Exploring Operation: 66-51=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 66-51=15
Current State: 60:[4, 15], Operations: ['64/16=4', '66-51=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[16, 51, 66, 64], Operations: []
Exploring Operation: 51-16=35, Resulting Numbers: [66, 64, 35]
Generated Node #0,0: 60:[66, 64, 35] Operation: 51-16=35
Exploring Operation: 64/16=4, Resulting Numbers: [51, 66, 4]
Generated Node #0,1: 60:[51, 66, 4] Operation: 64/16=4
Exploring Operation: 66-51=15, Resulting Numbers: [16, 64, 15]
Generated Node #0,2: 60:[16, 64, 15] Operation: 66-51=15
Exploring Operation: 66-64=2, Resulting Numbers: [16, 51, 2]
Generated Node #0,3: 60:[16, 51, 2] Operation: 66-64=2
Exploring Operation: 64-51=13, Resulting Numbers: [16, 66, 13]
Generated Node #0,4: 60:[16, 66, 13] Operation: 64-51=13
Moving to Node #0,2
Current State: 60:[16, 64, 15], Operations: ['66-51=15']
Exploring Operation: 16+15=31, Resulting Numbers: [64, 31]
Generated Node #0,2,0: 60:[64, 31] Operation: 16+15=31
Exploring Operation: 16-15=1, Resulting Numbers: [64, 1]
Generated Node #0,2,1: 60:[64, 1] Operation: 16-15=1
Exploring Operation: 64/16=4, Resulting Numbers: [15, 4]
Generated Node #0,2,2: 60:[15, 4] Operation: 64/16=4
Exploring Operation: 64-15=49, Resulting Numbers: [16, 49]
Generated Node #0,2,3: 60:[16, 49] Operation: 64-15=49
Exploring Operation: 64-16=48, Resulting Numbers: [15, 48]
Generated Node #0,2,4: 60:[15, 48] Operation: 64-16=48
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 60:[15, 4], Operations: ['66-51=15', '64/16=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[16, 51, 66, 64], Operations: []
Exploring Operation: 66-51=15, Resulting Numbers: [16, 64, 15]
Generated Node #0,2: 60:[16, 64, 15] Operation: 66-51=15
Moving to Node #0,2
Current State: 60:[16, 64, 15], Operations: ['66-51=15']
Exploring Operation: 64/16=4, Resulting Numbers: [15, 4]
Generated Node #0,2,2: 60:[15, 4] Operation: 64/16=4
Moving to Node #0,2,2
Current State: 60:[15, 4], Operations: ['66-51=15', '64/16=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
48,
63,
38,
61
] | 20 | [
"48-38=10",
"63-61=2",
"10*2=20"
] | Current State: 20:[48, 63, 38, 61], Operations: []
Exploring Operation: 48-38=10, Resulting Numbers: [63, 61, 10]
Generated Node #2: [63, 61, 10] from Operation: 48-38=10
Current State: 20:[63, 61, 10], Operations: ['48-38=10']
Exploring Operation: 63-61=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 63-61=2
Current State: 20:[10, 2], Operations: ['48-38=10', '63-61=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[48, 63, 38, 61], Operations: []
Exploring Operation: 63-48=15, Resulting Numbers: [38, 61, 15]
Generated Node #0,0: 20:[38, 61, 15] Operation: 63-48=15
Exploring Operation: 63-61=2, Resulting Numbers: [48, 38, 2]
Generated Node #0,1: 20:[48, 38, 2] Operation: 63-61=2
Moving to Node #0,1
Current State: 20:[48, 38, 2], Operations: ['63-61=2']
Exploring Operation: 48-38=10, Resulting Numbers: [2, 10]
Generated Node #0,1,0: 20:[2, 10] Operation: 48-38=10
Exploring Operation: 48/2=24, Resulting Numbers: [38, 24]
Generated Node #0,1,1: 20:[38, 24] Operation: 48/2=24
Moving to Node #0,0
Current State: 20:[38, 61, 15], Operations: ['63-48=15']
Exploring Operation: 38-15=23, Resulting Numbers: [61, 23]
Generated Node #0,0,0: 20:[61, 23] Operation: 38-15=23
Exploring Operation: 61-38=23, Resulting Numbers: [15, 23]
Generated Node #0,0,1: 20:[15, 23] Operation: 61-38=23
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[15, 23], Operations: ['63-48=15', '61-38=23']
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,20 unequal: No Solution
Exploring Operation: 15+23=38, Resulting Numbers: [38]
38,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[61, 23], Operations: ['63-48=15', '38-15=23']
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,20 unequal: No Solution
Exploring Operation: 61+23=84, Resulting Numbers: [84]
84,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 20:[2, 10], Operations: ['63-61=2', '48-38=10']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[48, 63, 38, 61], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [48, 38, 2]
Generated Node #0,1: 20:[48, 38, 2] Operation: 63-61=2
Moving to Node #0,1
Current State: 20:[48, 38, 2], Operations: ['63-61=2']
Exploring Operation: 48-38=10, Resulting Numbers: [2, 10]
Generated Node #0,1,0: 20:[2, 10] Operation: 48-38=10
Moving to Node #0,1,0
Current State: 20:[2, 10], Operations: ['63-61=2', '48-38=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
18,
78,
25,
93
] | 22 | [
"18+78=96",
"25+93=118",
"118-96=22"
] | Current State: 22:[18, 78, 25, 93], Operations: []
Exploring Operation: 18+78=96, Resulting Numbers: [25, 93, 96]
Generated Node #2: [25, 93, 96] from Operation: 18+78=96
Current State: 22:[25, 93, 96], Operations: ['18+78=96']
Exploring Operation: 25+93=118, Resulting Numbers: [96, 118]
Generated Node #3: [96, 118] from Operation: 25+93=118
Current State: 22:[96, 118], Operations: ['18+78=96', '25+93=118']
Exploring Operation: 118-96=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[18, 78, 25, 93], Operations: []
Exploring Operation: 78-25=53, Resulting Numbers: [18, 93, 53]
Generated Node #0,0: 22:[18, 93, 53] Operation: 78-25=53
Exploring Operation: 93-78=15, Resulting Numbers: [18, 25, 15]
Generated Node #0,1: 22:[18, 25, 15] Operation: 93-78=15
Exploring Operation: 93-25=68, Resulting Numbers: [18, 78, 68]
Generated Node #0,2: 22:[18, 78, 68] Operation: 93-25=68
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[18, 25, 15], Operations: ['93-78=15']
Exploring Operation: 18-15=3, Resulting Numbers: [25, 3]
Generated Node #0,1,0: 22:[25, 3] Operation: 18-15=3
Exploring Operation: 25-15=10, Resulting Numbers: [18, 10]
Generated Node #0,1,1: 22:[18, 10] Operation: 25-15=10
Exploring Operation: 25-18=7, Resulting Numbers: [15, 7]
Generated Node #0,1,2: 22:[15, 7] Operation: 25-18=7
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 22:[25, 3], Operations: ['93-78=15', '18-15=3']
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,22 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[18, 78, 25, 93], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [18, 25, 15]
Generated Node #0,1: 22:[18, 25, 15] Operation: 93-78=15
Moving to Node #0,1
Current State: 22:[18, 25, 15], Operations: ['93-78=15']
Exploring Operation: 18-15=3, Resulting Numbers: [25, 3]
Generated Node #0,1,0: 22:[25, 3] Operation: 18-15=3
Moving to Node #0,1,0
Current State: 22:[25, 3], Operations: ['93-78=15', '18-15=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
91,
50,
4,
91
] | 45 | [
"91/91=1",
"50-4=46",
"46-1=45"
] | Current State: 45:[91, 50, 4, 91], Operations: []
Exploring Operation: 91/91=1, Resulting Numbers: [50, 4, 1]
Generated Node #2: [50, 4, 1] from Operation: 91/91=1
Current State: 45:[50, 4, 1], Operations: ['91/91=1']
Exploring Operation: 50-4=46, Resulting Numbers: [1, 46]
Generated Node #3: [1, 46] from Operation: 50-4=46
Current State: 45:[1, 46], Operations: ['91/91=1', '50-4=46']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[91, 50, 4, 91], Operations: []
Exploring Operation: 91/91=1, Resulting Numbers: [50, 4, 1]
Generated Node #0,0: 45:[50, 4, 1] Operation: 91/91=1
Moving to Node #0,0
Current State: 45:[50, 4, 1], Operations: ['91/91=1']
Exploring Operation: 50-4=46, Resulting Numbers: [1, 46]
Generated Node #0,0,0: 45:[1, 46] Operation: 50-4=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[1, 46], Operations: ['91/91=1', '50-4=46']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[91, 50, 4, 91], Operations: []
Exploring Operation: 91/91=1, Resulting Numbers: [50, 4, 1]
Generated Node #0,0: 45:[50, 4, 1] Operation: 91/91=1
Moving to Node #0,0
Current State: 45:[50, 4, 1], Operations: ['91/91=1']
Exploring Operation: 50-4=46, Resulting Numbers: [1, 46]
Generated Node #0,0,0: 45:[1, 46] Operation: 50-4=46
Moving to Node #0,0,0
Current State: 45:[1, 46], Operations: ['91/91=1', '50-4=46']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
47,
21,
56,
72
] | 84 | [
"47+21=68",
"72-56=16",
"68+16=84"
] | Current State: 84:[47, 21, 56, 72], Operations: []
Exploring Operation: 47+21=68, Resulting Numbers: [56, 72, 68]
Generated Node #2: [56, 72, 68] from Operation: 47+21=68
Current State: 84:[56, 72, 68], Operations: ['47+21=68']
Exploring Operation: 72-56=16, Resulting Numbers: [68, 16]
Generated Node #3: [68, 16] from Operation: 72-56=16
Current State: 84:[68, 16], Operations: ['47+21=68', '72-56=16']
Exploring Operation: 68+16=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[47, 21, 56, 72], Operations: []
Exploring Operation: 56-21=35, Resulting Numbers: [47, 72, 35]
Generated Node #0,0: 84:[47, 72, 35] Operation: 56-21=35
Exploring Operation: 21+56=77, Resulting Numbers: [47, 72, 77]
Generated Node #0,1: 84:[47, 72, 77] Operation: 21+56=77
Exploring Operation: 72-47=25, Resulting Numbers: [21, 56, 25]
Generated Node #0,2: 84:[21, 56, 25] Operation: 72-47=25
Exploring Operation: 56-47=9, Resulting Numbers: [21, 72, 9]
Generated Node #0,3: 84:[21, 72, 9] Operation: 56-47=9
Exploring Operation: 72-56=16, Resulting Numbers: [47, 21, 16]
Generated Node #0,4: 84:[47, 21, 16] Operation: 72-56=16
Start Sub Search at level 1: Moving to Node #0,4
Current State: 84:[47, 21, 16], Operations: ['72-56=16']
Exploring Operation: 47+21=68, Resulting Numbers: [16, 68]
Generated Node #0,4,0: 84:[16, 68] Operation: 47+21=68
Exploring Operation: 47-16=31, Resulting Numbers: [21, 31]
Generated Node #0,4,1: 84:[21, 31] Operation: 47-16=31
Exploring Operation: 21+16=37, Resulting Numbers: [47, 37]
Generated Node #0,4,2: 84:[47, 37] Operation: 21+16=37
Exploring Operation: 47-21=26, Resulting Numbers: [16, 26]
Generated Node #0,4,3: 84:[16, 26] Operation: 47-21=26
Exploring Operation: 21-16=5, Resulting Numbers: [47, 5]
Generated Node #0,4,4: 84:[47, 5] Operation: 21-16=5
Moving to Node #0,4,1
Current State: 84:[21, 31], Operations: ['72-56=16', '47-16=31']
Exploring Operation: 21*31=651, Resulting Numbers: [651]
651,84 unequal: No Solution
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 21+31=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Moving to Node #0,4,3
Current State: 84:[16, 26], Operations: ['72-56=16', '47-21=26']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 16*26=416, Resulting Numbers: [416]
416,84 unequal: No Solution
Moving to Node #0,4,4
Current State: 84:[47, 5], Operations: ['72-56=16', '21-16=5']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Exploring Operation: 47*5=235, Resulting Numbers: [235]
235,84 unequal: No Solution
Moving to Node #0,4,2
Current State: 84:[47, 37], Operations: ['72-56=16', '21+16=37']
Exploring Operation: 47*37=1739, Resulting Numbers: [1739]
1739,84 unequal: No Solution
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 47+37=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[47, 21, 56, 72], Operations: []
Exploring Operation: 72-56=16, Resulting Numbers: [47, 21, 16]
Generated Node #0,4: 84:[47, 21, 16] Operation: 72-56=16
Moving to Node #0,4
Current State: 84:[47, 21, 16], Operations: ['72-56=16']
Exploring Operation: 21+16=37, Resulting Numbers: [47, 37]
Generated Node #0,4,2: 84:[47, 37] Operation: 21+16=37
Moving to Node #0,4,2
Current State: 84:[47, 37], Operations: ['72-56=16', '21+16=37']
Exploring Operation: 47+37=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | mult_heuristic |
[
32,
13,
23,
89
] | 93 | [
"32-13=19",
"23+89=112",
"112-19=93"
] | Current State: 93:[32, 13, 23, 89], Operations: []
Exploring Operation: 32-13=19, Resulting Numbers: [23, 89, 19]
Generated Node #2: [23, 89, 19] from Operation: 32-13=19
Current State: 93:[23, 89, 19], Operations: ['32-13=19']
Exploring Operation: 23+89=112, Resulting Numbers: [19, 112]
Generated Node #3: [19, 112] from Operation: 23+89=112
Current State: 93:[19, 112], Operations: ['32-13=19', '23+89=112']
Exploring Operation: 112-19=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[32, 13, 23, 89], Operations: []
Exploring Operation: 13+23=36, Resulting Numbers: [32, 89, 36]
Generated Node #0,0: 93:[32, 89, 36] Operation: 13+23=36
Moving to Node #0,0
Current State: 93:[32, 89, 36], Operations: ['13+23=36']
Exploring Operation: 36-32=4, Resulting Numbers: [89, 4]
Generated Node #0,0,0: 93:[89, 4] Operation: 36-32=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[89, 4], Operations: ['13+23=36', '36-32=4']
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[32, 13, 23, 89], Operations: []
Exploring Operation: 13+23=36, Resulting Numbers: [32, 89, 36]
Generated Node #0,0: 93:[32, 89, 36] Operation: 13+23=36
Moving to Node #0,0
Current State: 93:[32, 89, 36], Operations: ['13+23=36']
Exploring Operation: 36-32=4, Resulting Numbers: [89, 4]
Generated Node #0,0,0: 93:[89, 4] Operation: 36-32=4
Moving to Node #0,0,0
Current State: 93:[89, 4], Operations: ['13+23=36', '36-32=4']
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
84,
19,
22,
31
] | 59 | [
"84*22=1848",
"1848-19=1829",
"1829/31=59"
] | Current State: 59:[84, 19, 22, 31], Operations: []
Exploring Operation: 84*22=1848, Resulting Numbers: [19, 31, 1848]
Generated Node #2: [19, 31, 1848] from Operation: 84*22=1848
Current State: 59:[19, 31, 1848], Operations: ['84*22=1848']
Exploring Operation: 1848-19=1829, Resulting Numbers: [31, 1829]
Generated Node #3: [31, 1829] from Operation: 1848-19=1829
Current State: 59:[31, 1829], Operations: ['84*22=1848', '1848-19=1829']
Exploring Operation: 1829/31=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[84, 19, 22, 31], Operations: []
Exploring Operation: 19+22=41, Resulting Numbers: [84, 31, 41]
Generated Node #0,0: 59:[84, 31, 41] Operation: 19+22=41
Exploring Operation: 84-22=62, Resulting Numbers: [19, 31, 62]
Generated Node #0,1: 59:[19, 31, 62] Operation: 84-22=62
Exploring Operation: 84-19=65, Resulting Numbers: [22, 31, 65]
Generated Node #0,2: 59:[22, 31, 65] Operation: 84-19=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[84, 31, 41], Operations: ['19+22=41']
Exploring Operation: 31+41=72, Resulting Numbers: [84, 72]
Generated Node #0,0,0: 59:[84, 72] Operation: 31+41=72
Exploring Operation: 84-41=43, Resulting Numbers: [31, 43]
Generated Node #0,0,1: 59:[31, 43] Operation: 84-41=43
Exploring Operation: 84-31=53, Resulting Numbers: [41, 53]
Generated Node #0,0,2: 59:[41, 53] Operation: 84-31=53
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 59:[41, 53], Operations: ['19+22=41', '84-31=53']
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Exploring Operation: 41+53=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 41*53=2173, Resulting Numbers: [2173]
2173,59 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 #0,0,0
Current State: 59:[84, 72], Operations: ['19+22=41', '31+41=72']
Exploring Operation: 84+72=156, Resulting Numbers: [156]
156,59 unequal: No Solution
Exploring Operation: 84-72=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Exploring Operation: 84*72=6048, Resulting Numbers: [6048]
6048,59 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 #0,0,1
Current State: 59:[31, 43], Operations: ['19+22=41', '84-41=43']
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Exploring Operation: 31+43=74, Resulting Numbers: [74]
74,59 unequal: No Solution
Exploring Operation: 31*43=1333, Resulting Numbers: [1333]
1333,59 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: 59:[19, 31, 62], Operations: ['84-22=62']
Exploring Operation: 31-19=12, Resulting Numbers: [62, 12]
Generated Node #0,1,0: 59:[62, 12] Operation: 31-19=12
Exploring Operation: 62-19=43, Resulting Numbers: [31, 43]
Generated Node #0,1,1: 59:[31, 43] Operation: 62-19=43
Exploring Operation: 19+31=50, Resulting Numbers: [62, 50]
Generated Node #0,1,2: 59:[62, 50] Operation: 19+31=50
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 59:[62, 50], Operations: ['84-22=62', '19+31=50']
Exploring Operation: 62+50=112, Resulting Numbers: [112]
112,59 unequal: No Solution
Exploring Operation: 62*50=3100, Resulting Numbers: [3100]
3100,59 unequal: No Solution
Exploring Operation: 62-50=12, Resulting Numbers: [12]
12,59 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 #0,1,1
Current State: 59:[31, 43], Operations: ['84-22=62', '62-19=43']
Exploring Operation: 31*43=1333, Resulting Numbers: [1333]
1333,59 unequal: No Solution
Exploring Operation: 31+43=74, Resulting Numbers: [74]
74,59 unequal: No Solution
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,59 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 #0,1,0
Current State: 59:[62, 12], Operations: ['84-22=62', '31-19=12']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,59 unequal: No Solution
Exploring Operation: 62+12=74, Resulting Numbers: [74]
74,59 unequal: No Solution
Exploring Operation: 62*12=744, Resulting Numbers: [744]
744,59 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: 59:[22, 31, 65], Operations: ['84-19=65']
Exploring Operation: 31-22=9, Resulting Numbers: [65, 9]
Generated Node #0,2,0: 59:[65, 9] Operation: 31-22=9
Exploring Operation: 22+31=53, Resulting Numbers: [65, 53]
Generated Node #0,2,1: 59:[65, 53] Operation: 22+31=53
Exploring Operation: 65-22=43, Resulting Numbers: [31, 43]
Generated Node #0,2,2: 59:[31, 43] Operation: 65-22=43
Moving to Node #0,2,1
Current State: 59:[65, 53], Operations: ['84-19=65', '22+31=53']
Exploring Operation: 65+53=118, Resulting Numbers: [118]
118,59 unequal: No Solution
Exploring Operation: 65*53=3445, Resulting Numbers: [3445]
3445,59 unequal: No Solution
Exploring Operation: 65-53=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[31, 43], Operations: ['84-19=65', '65-22=43']
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Exploring Operation: 31*43=1333, Resulting Numbers: [1333]
1333,59 unequal: No Solution
Exploring Operation: 31+43=74, Resulting Numbers: [74]
74,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[65, 9], Operations: ['84-19=65', '31-22=9']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 65*9=585, Resulting Numbers: [585]
585,59 unequal: No Solution
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,59 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 |
[
13,
65,
72,
75
] | 15 | [
"65/13=5",
"75-72=3",
"5*3=15"
] | Current State: 15:[13, 65, 72, 75], Operations: []
Exploring Operation: 65/13=5, Resulting Numbers: [72, 75, 5]
Generated Node #2: [72, 75, 5] from Operation: 65/13=5
Current State: 15:[72, 75, 5], Operations: ['65/13=5']
Exploring Operation: 75-72=3, Resulting Numbers: [5, 3]
Generated Node #3: [5, 3] from Operation: 75-72=3
Current State: 15:[5, 3], Operations: ['65/13=5', '75-72=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[13, 65, 72, 75], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [13, 65, 3]
Generated Node #0,0: 15:[13, 65, 3] Operation: 75-72=3
Moving to Node #0,0
Current State: 15:[13, 65, 3], Operations: ['75-72=3']
Exploring Operation: 65/13=5, Resulting Numbers: [3, 5]
Generated Node #0,0,0: 15:[3, 5] Operation: 65/13=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[3, 5], Operations: ['75-72=3', '65/13=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[13, 65, 72, 75], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [13, 65, 3]
Generated Node #0,0: 15:[13, 65, 3] Operation: 75-72=3
Moving to Node #0,0
Current State: 15:[13, 65, 3], Operations: ['75-72=3']
Exploring Operation: 65/13=5, Resulting Numbers: [3, 5]
Generated Node #0,0,0: 15:[3, 5] Operation: 65/13=5
Moving to Node #0,0,0
Current State: 15:[3, 5], Operations: ['75-72=3', '65/13=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
56,
9,
7,
38
] | 10 | [
"9-7=2",
"56/2=28",
"38-28=10"
] | Current State: 10:[56, 9, 7, 38], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [56, 38, 2]
Generated Node #2: [56, 38, 2] from Operation: 9-7=2
Current State: 10:[56, 38, 2], Operations: ['9-7=2']
Exploring Operation: 56/2=28, Resulting Numbers: [38, 28]
Generated Node #3: [38, 28] from Operation: 56/2=28
Current State: 10:[38, 28], Operations: ['9-7=2', '56/2=28']
Exploring Operation: 38-28=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[56, 9, 7, 38], Operations: []
Exploring Operation: 56-38=18, Resulting Numbers: [9, 7, 18]
Generated Node #0,0: 10:[9, 7, 18] Operation: 56-38=18
Moving to Node #0,0
Current State: 10:[9, 7, 18], Operations: ['56-38=18']
Exploring Operation: 18/9=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 10:[7, 2] Operation: 18/9=2
Moving to Node #0,0,0
Current State: 10:[7, 2], Operations: ['56-38=18', '18/9=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,10 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
80,
82,
67,
16
] | 79 | [
"80+82=162",
"67+16=83",
"162-83=79"
] | Current State: 79:[80, 82, 67, 16], Operations: []
Exploring Operation: 80+82=162, Resulting Numbers: [67, 16, 162]
Generated Node #2: [67, 16, 162] from Operation: 80+82=162
Current State: 79:[67, 16, 162], Operations: ['80+82=162']
Exploring Operation: 67+16=83, Resulting Numbers: [162, 83]
Generated Node #3: [162, 83] from Operation: 67+16=83
Current State: 79:[162, 83], Operations: ['80+82=162', '67+16=83']
Exploring Operation: 162-83=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[80, 82, 67, 16], Operations: []
Exploring Operation: 82-16=66, Resulting Numbers: [80, 67, 66]
Generated Node #0,0: 79:[80, 67, 66] Operation: 82-16=66
Exploring Operation: 80-16=64, Resulting Numbers: [82, 67, 64]
Generated Node #0,1: 79:[82, 67, 64] Operation: 80-16=64
Exploring Operation: 67+16=83, Resulting Numbers: [80, 82, 83]
Generated Node #0,2: 79:[80, 82, 83] Operation: 67+16=83
Exploring Operation: 80+16=96, Resulting Numbers: [82, 67, 96]
Generated Node #0,3: 79:[82, 67, 96] Operation: 80+16=96
Moving to Node #0,2
Current State: 79:[80, 82, 83], Operations: ['67+16=83']
Exploring Operation: 80+82=162, Resulting Numbers: [83, 162]
Generated Node #0,2,0: 79:[83, 162] Operation: 80+82=162
Exploring Operation: 83-82=1, Resulting Numbers: [80, 1]
Generated Node #0,2,1: 79:[80, 1] Operation: 83-82=1
Exploring Operation: 82-80=2, Resulting Numbers: [83, 2]
Generated Node #0,2,2: 79:[83, 2] Operation: 82-80=2
Exploring Operation: 83-80=3, Resulting Numbers: [82, 3]
Generated Node #0,2,3: 79:[82, 3] Operation: 83-80=3
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[80, 1], Operations: ['67+16=83', '83-82=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[80, 82, 67, 16], Operations: []
Exploring Operation: 67+16=83, Resulting Numbers: [80, 82, 83]
Generated Node #0,2: 79:[80, 82, 83] Operation: 67+16=83
Moving to Node #0,2
Current State: 79:[80, 82, 83], Operations: ['67+16=83']
Exploring Operation: 83-82=1, Resulting Numbers: [80, 1]
Generated Node #0,2,1: 79:[80, 1] Operation: 83-82=1
Moving to Node #0,2,1
Current State: 79:[80, 1], Operations: ['67+16=83', '83-82=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
62,
1,
3,
48
] | 46 | [
"62*1=62",
"48/3=16",
"62-16=46"
] | Current State: 46:[62, 1, 3, 48], Operations: []
Exploring Operation: 62*1=62, Resulting Numbers: [3, 48, 62]
Generated Node #2: [3, 48, 62] from Operation: 62*1=62
Current State: 46:[3, 48, 62], Operations: ['62*1=62']
Exploring Operation: 48/3=16, Resulting Numbers: [62, 16]
Generated Node #3: [62, 16] from Operation: 48/3=16
Current State: 46:[62, 16], Operations: ['62*1=62', '48/3=16']
Exploring Operation: 62-16=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[62, 1, 3, 48], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [1, 3, 14]
Generated Node #0,0: 46:[1, 3, 14] Operation: 62-48=14
Moving to Node #0,0
Current State: 46:[1, 3, 14], Operations: ['62-48=14']
Exploring Operation: 3*14=42, Resulting Numbers: [1, 42]
Generated Node #0,0,0: 46:[1, 42] Operation: 3*14=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 46:[1, 42], Operations: ['62-48=14', '3*14=42']
Exploring Operation: 1+42=43, Resulting Numbers: [43]
43,46 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 |
[
5,
13,
29,
40
] | 34 | [
"13-5=8",
"40/8=5",
"29+5=34"
] | Current State: 34:[5, 13, 29, 40], Operations: []
Exploring Operation: 13-5=8, Resulting Numbers: [29, 40, 8]
Generated Node #2: [29, 40, 8] from Operation: 13-5=8
Current State: 34:[29, 40, 8], Operations: ['13-5=8']
Exploring Operation: 40/8=5, Resulting Numbers: [29, 5]
Generated Node #3: [29, 5] from Operation: 40/8=5
Current State: 34:[29, 5], Operations: ['13-5=8', '40/8=5']
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[5, 13, 29, 40], Operations: []
Exploring Operation: 5+29=34, Resulting Numbers: [13, 40, 34]
Generated Node #0,0: 34:[13, 40, 34] Operation: 5+29=34
Exploring Operation: 29-13=16, Resulting Numbers: [5, 40, 16]
Generated Node #0,1: 34:[5, 40, 16] Operation: 29-13=16
Exploring Operation: 40-5=35, Resulting Numbers: [13, 29, 35]
Generated Node #0,2: 34:[13, 29, 35] Operation: 40-5=35
Moving to Node #0,0
Current State: 34:[13, 40, 34], Operations: ['5+29=34']
Exploring Operation: 40-34=6, Resulting Numbers: [13, 6]
Generated Node #0,0,0: 34:[13, 6] Operation: 40-34=6
Exploring Operation: 40-13=27, Resulting Numbers: [34, 27]
Generated Node #0,0,1: 34:[34, 27] Operation: 40-13=27
Exploring Operation: 34-13=21, Resulting Numbers: [40, 21]
Generated Node #0,0,2: 34:[40, 21] Operation: 34-13=21
Moving to Node #0,1
Current State: 34:[5, 40, 16], Operations: ['29-13=16']
Exploring Operation: 5+16=21, Resulting Numbers: [40, 21]
Generated Node #0,1,0: 34:[40, 21] Operation: 5+16=21
Exploring Operation: 40/5=8, Resulting Numbers: [16, 8]
Generated Node #0,1,1: 34:[16, 8] Operation: 40/5=8
Exploring Operation: 40-5=35, Resulting Numbers: [16, 35]
Generated Node #0,1,2: 34:[16, 35] Operation: 40-5=35
Moving to Node #0,2
Current State: 34:[13, 29, 35], Operations: ['40-5=35']
Exploring Operation: 29-13=16, Resulting Numbers: [35, 16]
Generated Node #0,2,0: 34:[35, 16] Operation: 29-13=16
Exploring Operation: 35-29=6, Resulting Numbers: [13, 6]
Generated Node #0,2,1: 34:[13, 6] Operation: 35-29=6
Exploring Operation: 13+29=42, Resulting Numbers: [35, 42]
Generated Node #0,2,2: 34:[35, 42] Operation: 13+29=42
Moving to Node #0,1,2
Current State: 34:[16, 35], Operations: ['29-13=16', '40-5=35']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 16+35=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 16*35=560, Resulting Numbers: [560]
560,34 unequal: No Solution
Moving to Node #0,2,0
Current State: 34:[35, 16], Operations: ['40-5=35', '29-13=16']
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 35*16=560, Resulting Numbers: [560]
560,34 unequal: No Solution
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[34, 27], Operations: ['5+29=34', '40-13=27']
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 34*27=918, Resulting Numbers: [918]
918,34 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Moving to Node #0,1,1
Current State: 34:[16, 8], Operations: ['29-13=16', '40/5=8']
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[13, 6], Operations: ['40-5=35', '35-29=6']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[13, 6], Operations: ['5+29=34', '40-34=6']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[35, 42], Operations: ['40-5=35', '13+29=42']
Exploring Operation: 35+42=77, Resulting Numbers: [77]
77,34 unequal: No Solution
Exploring Operation: 35*42=1470, Resulting Numbers: [1470]
1470,34 unequal: No Solution
Exploring Operation: 42-35=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[40, 21], Operations: ['29-13=16', '5+16=21']
Exploring Operation: 40*21=840, Resulting Numbers: [840]
840,34 unequal: No Solution
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[40, 21], Operations: ['5+29=34', '34-13=21']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 40*21=840, Resulting Numbers: [840]
840,34 unequal: No Solution
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,34 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
18,
91,
65,
13
] | 68 | [
"91-18=73",
"65/13=5",
"73-5=68"
] | Current State: 68:[18, 91, 65, 13], Operations: []
Exploring Operation: 91-18=73, Resulting Numbers: [65, 13, 73]
Generated Node #2: [65, 13, 73] from Operation: 91-18=73
Current State: 68:[65, 13, 73], Operations: ['91-18=73']
Exploring Operation: 65/13=5, Resulting Numbers: [73, 5]
Generated Node #3: [73, 5] from Operation: 65/13=5
Current State: 68:[73, 5], Operations: ['91-18=73', '65/13=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[18, 91, 65, 13], Operations: []
Exploring Operation: 91-18=73, Resulting Numbers: [65, 13, 73]
Generated Node #0,0: 68:[65, 13, 73] Operation: 91-18=73
Exploring Operation: 91/13=7, Resulting Numbers: [18, 65, 7]
Generated Node #0,1: 68:[18, 65, 7] Operation: 91/13=7
Exploring Operation: 91-65=26, Resulting Numbers: [18, 13, 26]
Generated Node #0,2: 68:[18, 13, 26] Operation: 91-65=26
Moving to Node #0,1
Current State: 68:[18, 65, 7], Operations: ['91/13=7']
Exploring Operation: 65+7=72, Resulting Numbers: [18, 72]
Generated Node #0,1,0: 68:[18, 72] Operation: 65+7=72
Exploring Operation: 18-7=11, Resulting Numbers: [65, 11]
Generated Node #0,1,1: 68:[65, 11] Operation: 18-7=11
Exploring Operation: 18+7=25, Resulting Numbers: [65, 25]
Generated Node #0,1,2: 68:[65, 25] Operation: 18+7=25
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[18, 72], Operations: ['91/13=7', '65+7=72']
Exploring Operation: 18+72=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,68 unequal: No Solution
No 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: 68:[65, 11], Operations: ['91/13=7', '18-7=11']
Exploring Operation: 65+11=76, Resulting Numbers: [76]
76,68 unequal: No Solution
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,68 unequal: No Solution
Exploring Operation: 65*11=715, Resulting Numbers: [715]
715,68 unequal: No Solution
No 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: 68:[65, 25], Operations: ['91/13=7', '18+7=25']
Exploring Operation: 65+25=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Exploring Operation: 65*25=1625, Resulting Numbers: [1625]
1625,68 unequal: No Solution
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,68 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: 68:[65, 13, 73], Operations: ['91-18=73']
Exploring Operation: 73-65=8, Resulting Numbers: [13, 8]
Generated Node #0,0,0: 68:[13, 8] Operation: 73-65=8
Exploring Operation: 73-13=60, Resulting Numbers: [65, 60]
Generated Node #0,0,1: 68:[65, 60] Operation: 73-13=60
Exploring Operation: 65/13=5, Resulting Numbers: [73, 5]
Generated Node #0,0,2: 68:[73, 5] Operation: 65/13=5
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 68:[73, 5], Operations: ['91-18=73', '65/13=5']
Exploring Operation: 73+5=78, Resulting Numbers: [78]
78,68 unequal: No Solution
Exploring Operation: 73*5=365, Resulting Numbers: [365]
365,68 unequal: No Solution
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[18, 91, 65, 13], Operations: []
Exploring Operation: 91-18=73, Resulting Numbers: [65, 13, 73]
Generated Node #0,0: 68:[65, 13, 73] Operation: 91-18=73
Moving to Node #0,0
Current State: 68:[65, 13, 73], Operations: ['91-18=73']
Exploring Operation: 65/13=5, Resulting Numbers: [73, 5]
Generated Node #0,0,2: 68:[73, 5] Operation: 65/13=5
Moving to Node #0,0,2
Current State: 68:[73, 5], Operations: ['91-18=73', '65/13=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
58,
3,
25,
59
] | 86 | [
"25+59=84",
"84/3=28",
"58+28=86"
] | Current State: 86:[58, 3, 25, 59], Operations: []
Exploring Operation: 25+59=84, Resulting Numbers: [58, 3, 84]
Generated Node #2: [58, 3, 84] from Operation: 25+59=84
Current State: 86:[58, 3, 84], Operations: ['25+59=84']
Exploring Operation: 84/3=28, Resulting Numbers: [58, 28]
Generated Node #3: [58, 28] from Operation: 84/3=28
Current State: 86:[58, 28], Operations: ['25+59=84', '84/3=28']
Exploring Operation: 58+28=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[58, 3, 25, 59], Operations: []
Exploring Operation: 25+59=84, Resulting Numbers: [58, 3, 84]
Generated Node #0,0: 86:[58, 3, 84] Operation: 25+59=84
Exploring Operation: 59-25=34, Resulting Numbers: [58, 3, 34]
Generated Node #0,1: 86:[58, 3, 34] Operation: 59-25=34
Exploring Operation: 58+25=83, Resulting Numbers: [3, 59, 83]
Generated Node #0,2: 86:[3, 59, 83] Operation: 58+25=83
Exploring Operation: 59-58=1, Resulting Numbers: [3, 25, 1]
Generated Node #0,3: 86:[3, 25, 1] Operation: 59-58=1
Moving to Node #0,0
Current State: 86:[58, 3, 84], Operations: ['25+59=84']
Exploring Operation: 58+3=61, Resulting Numbers: [84, 61]
Generated Node #0,0,0: 86:[84, 61] Operation: 58+3=61
Exploring Operation: 84-58=26, Resulting Numbers: [3, 26]
Generated Node #0,0,1: 86:[3, 26] Operation: 84-58=26
Exploring Operation: 58-3=55, Resulting Numbers: [84, 55]
Generated Node #0,0,2: 86:[84, 55] Operation: 58-3=55
Exploring Operation: 3+84=87, Resulting Numbers: [58, 87]
Generated Node #0,0,3: 86:[58, 87] Operation: 3+84=87
Moving to Node #0,3
Current State: 86:[3, 25, 1], Operations: ['59-58=1']
Exploring Operation: 3-1=2, Resulting Numbers: [25, 2]
Generated Node #0,3,0: 86:[25, 2] Operation: 3-1=2
Exploring Operation: 3*25=75, Resulting Numbers: [1, 75]
Generated Node #0,3,1: 86:[1, 75] Operation: 3*25=75
Exploring Operation: 3+25=28, Resulting Numbers: [1, 28]
Generated Node #0,3,2: 86:[1, 28] Operation: 3+25=28
Exploring Operation: 25+1=26, Resulting Numbers: [3, 26]
Generated Node #0,3,3: 86:[3, 26] Operation: 25+1=26
Moving to Node #0,2
Current State: 86:[3, 59, 83], Operations: ['58+25=83']
Exploring Operation: 83-59=24, Resulting Numbers: [3, 24]
Generated Node #0,2,0: 86:[3, 24] Operation: 83-59=24
Exploring Operation: 3+83=86, Resulting Numbers: [59, 86]
Generated Node #0,2,1: 86:[59, 86] Operation: 3+83=86
Exploring Operation: 3+59=62, Resulting Numbers: [83, 62]
Generated Node #0,2,2: 86:[83, 62] Operation: 3+59=62
Exploring Operation: 59-3=56, Resulting Numbers: [83, 56]
Generated Node #0,2,3: 86:[83, 56] Operation: 59-3=56
Moving to Node #0,1
Current State: 86:[58, 3, 34], Operations: ['59-25=34']
Exploring Operation: 58+34=92, Resulting Numbers: [3, 92]
Generated Node #0,1,0: 86:[3, 92] Operation: 58+34=92
Exploring Operation: 3+34=37, Resulting Numbers: [58, 37]
Generated Node #0,1,1: 86:[58, 37] Operation: 3+34=37
Exploring Operation: 58-34=24, Resulting Numbers: [3, 24]
Generated Node #0,1,2: 86:[3, 24] Operation: 58-34=24
Exploring Operation: 58-3=55, Resulting Numbers: [34, 55]
Generated Node #0,1,3: 86:[34, 55] Operation: 58-3=55
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[3, 92], Operations: ['59-25=34', '58+34=92']
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,86 unequal: No Solution
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,86 unequal: No Solution
Exploring Operation: 3*92=276, Resulting Numbers: [276]
276,86 unequal: No Solution
No 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: 86:[3, 24], Operations: ['59-25=34', '58-34=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,86 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,86 unequal: No Solution
No 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: 86:[58, 37], Operations: ['59-25=34', '3+34=37']
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 58*37=2146, Resulting Numbers: [2146]
2146,86 unequal: No Solution
Exploring Operation: 58+37=95, Resulting Numbers: [95]
95,86 unequal: No Solution
No 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: 86:[34, 55], Operations: ['59-25=34', '58-3=55']
Exploring Operation: 55-34=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 34+55=89, Resulting Numbers: [89]
89,86 unequal: No Solution
Exploring Operation: 34*55=1870, Resulting Numbers: [1870]
1870,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 86:[1, 75], Operations: ['59-58=1', '3*25=75']
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,86 unequal: No Solution
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,86 unequal: No Solution
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,86 unequal: No Solution
Exploring Operation: 1+75=76, Resulting Numbers: [76]
76,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[84, 55], Operations: ['25+59=84', '58-3=55']
Exploring Operation: 84+55=139, Resulting Numbers: [139]
139,86 unequal: No Solution
Exploring Operation: 84-55=29, Resulting Numbers: [29]
29,86 unequal: No Solution
Exploring Operation: 84*55=4620, Resulting Numbers: [4620]
4620,86 unequal: No Solution
Moving to Node #0,3,2
Current State: 86:[1, 28], Operations: ['59-58=1', '3+25=28']
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,86 unequal: No Solution
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,86 unequal: No Solution
Exploring Operation: 1*28=28, Resulting Numbers: [28]
28,86 unequal: No Solution
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Moving to Node #0,0,3
Current State: 86:[58, 87], Operations: ['25+59=84', '3+84=87']
Exploring Operation: 58+87=145, Resulting Numbers: [145]
145,86 unequal: No Solution
Exploring Operation: 87-58=29, Resulting Numbers: [29]
29,86 unequal: No Solution
Exploring Operation: 58*87=5046, Resulting Numbers: [5046]
5046,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[83, 56], Operations: ['58+25=83', '59-3=56']
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 83+56=139, Resulting Numbers: [139]
139,86 unequal: No Solution
Exploring Operation: 83*56=4648, Resulting Numbers: [4648]
4648,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[59, 86], Operations: ['58+25=83', '3+83=86']
Exploring Operation: 86-59=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 59*86=5074, Resulting Numbers: [5074]
5074,86 unequal: No Solution
Exploring Operation: 59+86=145, Resulting Numbers: [145]
145,86 unequal: No Solution
Moving to Node #0,3,0
Current State: 86:[25, 2], Operations: ['59-58=1', '3-1=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[3, 26], Operations: ['25+59=84', '84-58=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,86 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,86 unequal: No Solution
Moving to Node #0,3,3
Current State: 86:[3, 26], Operations: ['59-58=1', '25+1=26']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,86 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[3, 24], Operations: ['58+25=83', '83-59=24']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,86 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[84, 61], Operations: ['25+59=84', '58+3=61']
Exploring Operation: 84-61=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 84*61=5124, Resulting Numbers: [5124]
5124,86 unequal: No Solution
Exploring Operation: 84+61=145, Resulting Numbers: [145]
145,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[83, 62], Operations: ['58+25=83', '3+59=62']
Exploring Operation: 83*62=5146, Resulting Numbers: [5146]
5146,86 unequal: No Solution
Exploring Operation: 83-62=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 83+62=145, Resulting Numbers: [145]
145,86 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
22,
25,
62,
41
] | 88 | [
"62-25=37",
"41-37=4",
"22*4=88"
] | Current State: 88:[22, 25, 62, 41], Operations: []
Exploring Operation: 62-25=37, Resulting Numbers: [22, 41, 37]
Generated Node #2: [22, 41, 37] from Operation: 62-25=37
Current State: 88:[22, 41, 37], Operations: ['62-25=37']
Exploring Operation: 41-37=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 41-37=4
Current State: 88:[22, 4], Operations: ['62-25=37', '41-37=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[22, 25, 62, 41], Operations: []
Exploring Operation: 25+62=87, Resulting Numbers: [22, 41, 87]
Generated Node #0,0: 88:[22, 41, 87] Operation: 25+62=87
Exploring Operation: 62-22=40, Resulting Numbers: [25, 41, 40]
Generated Node #0,1: 88:[25, 41, 40] Operation: 62-22=40
Exploring Operation: 62-25=37, Resulting Numbers: [22, 41, 37]
Generated Node #0,2: 88:[22, 41, 37] Operation: 62-25=37
Exploring Operation: 22+62=84, Resulting Numbers: [25, 41, 84]
Generated Node #0,3: 88:[25, 41, 84] Operation: 22+62=84
Exploring Operation: 62-41=21, Resulting Numbers: [22, 25, 21]
Generated Node #0,4: 88:[22, 25, 21] Operation: 62-41=21
Moving to Node #0,0
Current State: 88:[22, 41, 87], Operations: ['25+62=87']
Exploring Operation: 22+41=63, Resulting Numbers: [87, 63]
Generated Node #0,0,0: 88:[87, 63] Operation: 22+41=63
Exploring Operation: 22+87=109, Resulting Numbers: [41, 109]
Generated Node #0,0,1: 88:[41, 109] Operation: 22+87=109
Exploring Operation: 87-41=46, Resulting Numbers: [22, 46]
Generated Node #0,0,2: 88:[22, 46] Operation: 87-41=46
Exploring Operation: 41-22=19, Resulting Numbers: [87, 19]
Generated Node #0,0,3: 88:[87, 19] Operation: 41-22=19
Exploring Operation: 87-22=65, Resulting Numbers: [41, 65]
Generated Node #0,0,4: 88:[41, 65] Operation: 87-22=65
Moving to Node #0,4
Current State: 88:[22, 25, 21], Operations: ['62-41=21']
Exploring Operation: 25-21=4, Resulting Numbers: [22, 4]
Generated Node #0,4,0: 88:[22, 4] Operation: 25-21=4
Exploring Operation: 22+25=47, Resulting Numbers: [21, 47]
Generated Node #0,4,1: 88:[21, 47] Operation: 22+25=47
Exploring Operation: 25+21=46, Resulting Numbers: [22, 46]
Generated Node #0,4,2: 88:[22, 46] Operation: 25+21=46
Exploring Operation: 22+21=43, Resulting Numbers: [25, 43]
Generated Node #0,4,3: 88:[25, 43] Operation: 22+21=43
Exploring Operation: 25-22=3, Resulting Numbers: [21, 3]
Generated Node #0,4,4: 88:[21, 3] Operation: 25-22=3
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 88:[22, 4], Operations: ['62-41=21', '25-21=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[22, 25, 62, 41], Operations: []
Exploring Operation: 62-41=21, Resulting Numbers: [22, 25, 21]
Generated Node #0,4: 88:[22, 25, 21] Operation: 62-41=21
Moving to Node #0,4
Current State: 88:[22, 25, 21], Operations: ['62-41=21']
Exploring Operation: 25-21=4, Resulting Numbers: [22, 4]
Generated Node #0,4,0: 88:[22, 4] Operation: 25-21=4
Moving to Node #0,4,0
Current State: 88:[22, 4], Operations: ['62-41=21', '25-21=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
36,
19,
32,
32
] | 52 | [
"36-32=4",
"32-19=13",
"4*13=52"
] | Current State: 52:[36, 19, 32, 32], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [19, 4]
Generated Node #2: [19, 4] from Operation: 36-32=4
Current State: 52:[19, 4], Operations: ['36-32=4']
Exploring Operation: 32-19=13, Resulting Numbers: [4, 13]
Generated Node #3: [4, 13] from Operation: 32-19=13
Current State: 52:[4, 13], Operations: ['36-32=4', '32-19=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[36, 19, 32, 32], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [19, 32, 4]
Generated Node #0,0: 52:[19, 32, 4] Operation: 36-32=4
Exploring Operation: 36-32=4, Resulting Numbers: [19, 32, 4]
Generated Node #0,1: 52:[19, 32, 4] Operation: 36-32=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[19, 32, 4], Operations: ['36-32=4']
Exploring Operation: 32-19=13, Resulting Numbers: [4, 13]
Generated Node #0,0,0: 52:[4, 13] Operation: 32-19=13
Exploring Operation: 19+32=51, Resulting Numbers: [4, 51]
Generated Node #0,0,1: 52:[4, 51] Operation: 19+32=51
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[4, 13], Operations: ['36-32=4', '32-19=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[36, 19, 32, 32], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [19, 32, 4]
Generated Node #0,0: 52:[19, 32, 4] Operation: 36-32=4
Moving to Node #0,0
Current State: 52:[19, 32, 4], Operations: ['36-32=4']
Exploring Operation: 32-19=13, Resulting Numbers: [4, 13]
Generated Node #0,0,0: 52:[4, 13] Operation: 32-19=13
Moving to Node #0,0,0
Current State: 52:[4, 13], Operations: ['36-32=4', '32-19=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
43,
23,
59,
66
] | 25 | [
"23*66=1518",
"1518-43=1475",
"1475/59=25"
] | Current State: 25:[43, 23, 59, 66], Operations: []
Exploring Operation: 23*66=1518, Resulting Numbers: [43, 59, 1518]
Generated Node #2: [43, 59, 1518] from Operation: 23*66=1518
Current State: 25:[43, 59, 1518], Operations: ['23*66=1518']
Exploring Operation: 1518-43=1475, Resulting Numbers: [59, 1475]
Generated Node #3: [59, 1475] from Operation: 1518-43=1475
Current State: 25:[59, 1475], Operations: ['23*66=1518', '1518-43=1475']
Exploring Operation: 1475/59=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[43, 23, 59, 66], Operations: []
Exploring Operation: 66-43=23, Resulting Numbers: [23, 59, 23]
Generated Node #0,0: 25:[23, 59, 23] Operation: 66-43=23
Exploring Operation: 66-23=43, Resulting Numbers: [43, 59, 43]
Generated Node #0,1: 25:[43, 59, 43] Operation: 66-23=43
Exploring Operation: 59-23=36, Resulting Numbers: [43, 66, 36]
Generated Node #0,2: 25:[43, 66, 36] Operation: 59-23=36
Exploring Operation: 59-43=16, Resulting Numbers: [23, 66, 16]
Generated Node #0,3: 25:[23, 66, 16] Operation: 59-43=16
Exploring Operation: 66-59=7, Resulting Numbers: [43, 23, 7]
Generated Node #0,4: 25:[43, 23, 7] Operation: 66-59=7
Start Sub Search at level 1: Moving to Node #0,4
Current State: 25:[43, 23, 7], Operations: ['66-59=7']
Exploring Operation: 43-23=20, Resulting Numbers: [7, 20]
Generated Node #0,4,0: 25:[7, 20] Operation: 43-23=20
Exploring Operation: 43+7=50, Resulting Numbers: [23, 50]
Generated Node #0,4,1: 25:[23, 50] Operation: 43+7=50
Exploring Operation: 23-7=16, Resulting Numbers: [43, 16]
Generated Node #0,4,2: 25:[43, 16] Operation: 23-7=16
Exploring Operation: 23+7=30, Resulting Numbers: [43, 30]
Generated Node #0,4,3: 25:[43, 30] Operation: 23+7=30
Exploring Operation: 43-7=36, Resulting Numbers: [23, 36]
Generated Node #0,4,4: 25:[23, 36] Operation: 43-7=36
Moving to Node #0,4,0
Current State: 25:[7, 20], Operations: ['66-59=7', '43-23=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,25 unequal: No Solution
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,25 unequal: No Solution
Moving to Node #0,4,4
Current State: 25:[23, 36], Operations: ['66-59=7', '43-7=36']
Exploring Operation: 23*36=828, Resulting Numbers: [828]
828,25 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 23+36=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Moving to Node #0,4,3
Current State: 25:[43, 30], Operations: ['66-59=7', '23+7=30']
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 43*30=1290, Resulting Numbers: [1290]
1290,25 unequal: No Solution
Exploring Operation: 43+30=73, Resulting Numbers: [73]
73,25 unequal: No Solution
Moving to Node #0,4,1
Current State: 25:[23, 50], Operations: ['66-59=7', '43+7=50']
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,25 unequal: No Solution
Exploring Operation: 23+50=73, Resulting Numbers: [73]
73,25 unequal: No Solution
Exploring Operation: 23*50=1150, Resulting Numbers: [1150]
1150,25 unequal: No Solution
Moving to Node #0,4,2
Current State: 25:[43, 16], Operations: ['66-59=7', '23-7=16']
Exploring Operation: 43*16=688, Resulting Numbers: [688]
688,25 unequal: No Solution
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,25 unequal: No Solution
Exploring Operation: 43+16=59, Resulting Numbers: [59]
59,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[23, 59, 23], Operations: ['66-43=23']
Exploring Operation: 23+23=46, Resulting Numbers: [59, 46]
Generated Node #0,0,0: 25:[59, 46] Operation: 23+23=46
Exploring Operation: 59-23=36, Resulting Numbers: [23, 36]
Generated Node #0,0,1: 25:[23, 36] Operation: 59-23=36
Exploring Operation: 23-23=0, Resulting Numbers: [59, 0]
Generated Node #0,0,2: 25:[59, 0] Operation: 23-23=0
Exploring Operation: 23/23=1, Resulting Numbers: [59, 1]
Generated Node #0,0,3: 25:[59, 1] Operation: 23/23=1
Exploring Operation: 59-23=36, Resulting Numbers: [23, 36]
Generated Node #0,0,4: 25:[23, 36] Operation: 59-23=36
Moving to Node #0,0,1
Current State: 25:[23, 36], Operations: ['66-43=23', '59-23=36']
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 23+36=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 23*36=828, Resulting Numbers: [828]
828,25 unequal: No Solution
Moving to Node #0,0,4
Current State: 25:[23, 36], Operations: ['66-43=23', '59-23=36']
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 23+36=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 23*36=828, Resulting Numbers: [828]
828,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[59, 1], Operations: ['66-43=23', '23/23=1']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,25 unequal: No Solution
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,25 unequal: No Solution
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[59, 0], Operations: ['66-43=23', '23-23=0']
Exploring Operation: 59+0=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 59*0=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 59-0=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[59, 46], Operations: ['66-43=23', '23+23=46']
Exploring Operation: 59*46=2714, Resulting Numbers: [2714]
2714,25 unequal: No Solution
Exploring Operation: 59+46=105, Resulting Numbers: [105]
105,25 unequal: No Solution
Exploring Operation: 59-46=13, Resulting Numbers: [13]
13,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 25:[23, 66, 16], Operations: ['59-43=16']
Exploring Operation: 23+16=39, Resulting Numbers: [66, 39]
Generated Node #0,3,0: 25:[66, 39] Operation: 23+16=39
Exploring Operation: 66-16=50, Resulting Numbers: [23, 50]
Generated Node #0,3,1: 25:[23, 50] Operation: 66-16=50
Exploring Operation: 23-16=7, Resulting Numbers: [66, 7]
Generated Node #0,3,2: 25:[66, 7] Operation: 23-16=7
Exploring Operation: 66+16=82, Resulting Numbers: [23, 82]
Generated Node #0,3,3: 25:[23, 82] Operation: 66+16=82
Exploring Operation: 66-23=43, Resulting Numbers: [16, 43]
Generated Node #0,3,4: 25:[16, 43] Operation: 66-23=43
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 25:[23, 50], Operations: ['59-43=16', '66-16=50']
Exploring Operation: 23*50=1150, Resulting Numbers: [1150]
1150,25 unequal: No Solution
Exploring Operation: 23+50=73, Resulting Numbers: [73]
73,25 unequal: No Solution
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 25:[16, 43], Operations: ['59-43=16', '66-23=43']
Exploring Operation: 16*43=688, Resulting Numbers: [688]
688,25 unequal: No Solution
Exploring Operation: 16+43=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 25:[66, 7], Operations: ['59-43=16', '23-16=7']
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,25 unequal: No Solution
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 66*7=462, Resulting Numbers: [462]
462,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 25:[66, 39], Operations: ['59-43=16', '23+16=39']
Exploring Operation: 66*39=2574, Resulting Numbers: [2574]
2574,25 unequal: No Solution
Exploring Operation: 66+39=105, Resulting Numbers: [105]
105,25 unequal: No Solution
Exploring Operation: 66-39=27, Resulting Numbers: [27]
27,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 25:[23, 82], Operations: ['59-43=16', '66+16=82']
Exploring Operation: 82-23=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 23+82=105, Resulting Numbers: [105]
105,25 unequal: No Solution
Exploring Operation: 23*82=1886, Resulting Numbers: [1886]
1886,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[43, 59, 43], Operations: ['66-23=43']
Exploring Operation: 59-43=16, Resulting Numbers: [43, 16]
Generated Node #0,1,0: 25:[43, 16] Operation: 59-43=16
Exploring Operation: 43+59=102, Resulting Numbers: [43, 102]
Generated Node #0,1,1: 25:[43, 102] Operation: 43+59=102
Exploring Operation: 43/43=1, Resulting Numbers: [59, 1]
Generated Node #0,1,2: 25:[59, 1] Operation: 43/43=1
Exploring Operation: 59-43=16, Resulting Numbers: [43, 16]
Generated Node #0,1,3: 25:[43, 16] Operation: 59-43=16
Exploring Operation: 43-43=0, Resulting Numbers: [59, 0]
Generated Node #0,1,4: 25:[59, 0] Operation: 43-43=0
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 25:[43, 16], Operations: ['66-23=43', '59-43=16']
Exploring Operation: 43*16=688, Resulting Numbers: [688]
688,25 unequal: No Solution
Exploring Operation: 43+16=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 25:[43, 16], Operations: ['66-23=43', '59-43=16']
Exploring Operation: 43*16=688, Resulting Numbers: [688]
688,25 unequal: No Solution
Exploring Operation: 43+16=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 25:[59, 1], Operations: ['66-23=43', '43/43=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,25 unequal: No Solution
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,25 unequal: No Solution
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 25:[59, 0], Operations: ['66-23=43', '43-43=0']
Exploring Operation: 59*0=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 59-0=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 59+0=59, Resulting Numbers: [59]
59,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 25:[43, 102], Operations: ['66-23=43', '43+59=102']
Exploring Operation: 102-43=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 43+102=145, Resulting Numbers: [145]
145,25 unequal: No Solution
Exploring Operation: 43*102=4386, Resulting Numbers: [4386]
4386,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[43, 66, 36], Operations: ['59-23=36']
Exploring Operation: 66-43=23, Resulting Numbers: [36, 23]
Generated Node #0,2,0: 25:[36, 23] Operation: 66-43=23
Exploring Operation: 43-36=7, Resulting Numbers: [66, 7]
Generated Node #0,2,1: 25:[66, 7] Operation: 43-36=7
Exploring Operation: 43+36=79, Resulting Numbers: [66, 79]
Generated Node #0,2,2: 25:[66, 79] Operation: 43+36=79
Exploring Operation: 43+66=109, Resulting Numbers: [36, 109]
Generated Node #0,2,3: 25:[36, 109] Operation: 43+66=109
Exploring Operation: 66-36=30, Resulting Numbers: [43, 30]
Generated Node #0,2,4: 25:[43, 30] Operation: 66-36=30
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 25:[36, 23], Operations: ['59-23=36', '66-43=23']
Exploring Operation: 36*23=828, Resulting Numbers: [828]
828,25 unequal: No Solution
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 25:[43, 30], Operations: ['59-23=36', '66-36=30']
Exploring Operation: 43*30=1290, Resulting Numbers: [1290]
1290,25 unequal: No Solution
Exploring Operation: 43+30=73, Resulting Numbers: [73]
73,25 unequal: No Solution
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 25:[66, 7], Operations: ['59-23=36', '43-36=7']
Exploring Operation: 66*7=462, Resulting Numbers: [462]
462,25 unequal: No Solution
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,25 unequal: No Solution
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 25:[66, 79], Operations: ['59-23=36', '43+36=79']
Exploring Operation: 66+79=145, Resulting Numbers: [145]
145,25 unequal: No Solution
Exploring Operation: 66*79=5214, Resulting Numbers: [5214]
5214,25 unequal: No Solution
Exploring Operation: 79-66=13, Resulting Numbers: [13]
13,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 25:[36, 109], Operations: ['59-23=36', '43+66=109']
Exploring Operation: 109-36=73, Resulting Numbers: [73]
73,25 unequal: No Solution
Exploring Operation: 36+109=145, Resulting Numbers: [145]
145,25 unequal: No Solution
Exploring Operation: 36*109=3924, Resulting Numbers: [3924]
3924,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
19,
77,
2,
29
] | 43 | [
"77-29=48",
"48/2=24",
"19+24=43"
] | Current State: 43:[19, 77, 2, 29], Operations: []
Exploring Operation: 77-29=48, Resulting Numbers: [19, 2, 48]
Generated Node #2: [19, 2, 48] from Operation: 77-29=48
Current State: 43:[19, 2, 48], Operations: ['77-29=48']
Exploring Operation: 48/2=24, Resulting Numbers: [19, 24]
Generated Node #3: [19, 24] from Operation: 48/2=24
Current State: 43:[19, 24], Operations: ['77-29=48', '48/2=24']
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[19, 77, 2, 29], Operations: []
Exploring Operation: 19*2=38, Resulting Numbers: [77, 29, 38]
Generated Node #0,0: 43:[77, 29, 38] Operation: 19*2=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[77, 29, 38], Operations: ['19*2=38']
Exploring Operation: 77-29=48, Resulting Numbers: [38, 48]
Generated Node #0,0,0: 43:[38, 48] Operation: 77-29=48
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[38, 48], Operations: ['19*2=38', '77-29=48']
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,43 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 |
[
74,
6,
26,
62
] | 98 | [
"74-62=12",
"6*12=72",
"26+72=98"
] | Current State: 98:[74, 6, 26, 62], Operations: []
Exploring Operation: 74-62=12, Resulting Numbers: [6, 26, 12]
Generated Node #2: [6, 26, 12] from Operation: 74-62=12
Current State: 98:[6, 26, 12], Operations: ['74-62=12']
Exploring Operation: 6*12=72, Resulting Numbers: [26, 72]
Generated Node #3: [26, 72] from Operation: 6*12=72
Current State: 98:[26, 72], Operations: ['74-62=12', '6*12=72']
Exploring Operation: 26+72=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[74, 6, 26, 62], Operations: []
Exploring Operation: 26+62=88, Resulting Numbers: [74, 6, 88]
Generated Node #0,0: 98:[74, 6, 88] Operation: 26+62=88
Exploring Operation: 74-62=12, Resulting Numbers: [6, 26, 12]
Generated Node #0,1: 98:[6, 26, 12] Operation: 74-62=12
Exploring Operation: 62-26=36, Resulting Numbers: [74, 6, 36]
Generated Node #0,2: 98:[74, 6, 36] Operation: 62-26=36
Exploring Operation: 74+26=100, Resulting Numbers: [6, 62, 100]
Generated Node #0,3: 98:[6, 62, 100] Operation: 74+26=100
Exploring Operation: 74-26=48, Resulting Numbers: [6, 62, 48]
Generated Node #0,4: 98:[6, 62, 48] Operation: 74-26=48
Moving to Node #0,1
Current State: 98:[6, 26, 12], Operations: ['74-62=12']
Exploring Operation: 26-12=14, Resulting Numbers: [6, 14]
Generated Node #0,1,0: 98:[6, 14] Operation: 26-12=14
Exploring Operation: 26+12=38, Resulting Numbers: [6, 38]
Generated Node #0,1,1: 98:[6, 38] Operation: 26+12=38
Exploring Operation: 12-6=6, Resulting Numbers: [26, 6]
Generated Node #0,1,2: 98:[26, 6] Operation: 12-6=6
Exploring Operation: 26-6=20, Resulting Numbers: [12, 20]
Generated Node #0,1,3: 98:[12, 20] Operation: 26-6=20
Exploring Operation: 12/6=2, Resulting Numbers: [26, 2]
Generated Node #0,1,4: 98:[26, 2] Operation: 12/6=2
Moving to Node #0,4
Current State: 98:[6, 62, 48], Operations: ['74-26=48']
Exploring Operation: 6+48=54, Resulting Numbers: [62, 54]
Generated Node #0,4,0: 98:[62, 54] Operation: 6+48=54
Exploring Operation: 62-48=14, Resulting Numbers: [6, 14]
Generated Node #0,4,1: 98:[6, 14] Operation: 62-48=14
Exploring Operation: 62+48=110, Resulting Numbers: [6, 110]
Generated Node #0,4,2: 98:[6, 110] Operation: 62+48=110
Exploring Operation: 48/6=8, Resulting Numbers: [62, 8]
Generated Node #0,4,3: 98:[62, 8] Operation: 48/6=8
Exploring Operation: 62-6=56, Resulting Numbers: [48, 56]
Generated Node #0,4,4: 98:[48, 56] Operation: 62-6=56
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 98:[6, 14], Operations: ['74-26=48', '62-48=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,98 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,98 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 #0,4,4
Current State: 98:[48, 56], Operations: ['74-26=48', '62-6=56']
Exploring Operation: 56-48=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 48+56=104, Resulting Numbers: [104]
104,98 unequal: No Solution
Exploring Operation: 48*56=2688, Resulting Numbers: [2688]
2688,98 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 #0,4,2
Current State: 98:[6, 110], Operations: ['74-26=48', '62+48=110']
Exploring Operation: 110-6=104, Resulting Numbers: [104]
104,98 unequal: No Solution
Exploring Operation: 6+110=116, Resulting Numbers: [116]
116,98 unequal: No Solution
Exploring Operation: 6*110=660, Resulting Numbers: [660]
660,98 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 #0,4,3
Current State: 98:[62, 8], Operations: ['74-26=48', '48/6=8']
Exploring Operation: 62+8=70, Resulting Numbers: [70]
70,98 unequal: No Solution
Exploring Operation: 62*8=496, Resulting Numbers: [496]
496,98 unequal: No Solution
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,98 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:[62, 54], Operations: ['74-26=48', '6+48=54']
Exploring Operation: 62-54=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 62*54=3348, Resulting Numbers: [3348]
3348,98 unequal: No Solution
Exploring Operation: 62+54=116, Resulting Numbers: [116]
116,98 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:[6, 62, 100], Operations: ['74+26=100']
Exploring Operation: 6+100=106, Resulting Numbers: [62, 106]
Generated Node #0,3,0: 98:[62, 106] Operation: 6+100=106
Exploring Operation: 100-62=38, Resulting Numbers: [6, 38]
Generated Node #0,3,1: 98:[6, 38] Operation: 100-62=38
Exploring Operation: 100-6=94, Resulting Numbers: [62, 94]
Generated Node #0,3,2: 98:[62, 94] Operation: 100-6=94
Exploring Operation: 62-6=56, Resulting Numbers: [100, 56]
Generated Node #0,3,3: 98:[100, 56] Operation: 62-6=56
Exploring Operation: 6+62=68, Resulting Numbers: [100, 68]
Generated Node #0,3,4: 98:[100, 68] Operation: 6+62=68
Moving to Node #0,0
Current State: 98:[74, 6, 88], Operations: ['26+62=88']
Exploring Operation: 6+88=94, Resulting Numbers: [74, 94]
Generated Node #0,0,0: 98:[74, 94] Operation: 6+88=94
Exploring Operation: 74-6=68, Resulting Numbers: [88, 68]
Generated Node #0,0,1: 98:[88, 68] Operation: 74-6=68
Exploring Operation: 88-74=14, Resulting Numbers: [6, 14]
Generated Node #0,0,2: 98:[6, 14] Operation: 88-74=14
Exploring Operation: 74+6=80, Resulting Numbers: [88, 80]
Generated Node #0,0,3: 98:[88, 80] Operation: 74+6=80
Exploring Operation: 88-6=82, Resulting Numbers: [74, 82]
Generated Node #0,0,4: 98:[74, 82] Operation: 88-6=82
Moving to Node #0,2
Current State: 98:[74, 6, 36], Operations: ['62-26=36']
Exploring Operation: 36/6=6, Resulting Numbers: [74, 6]
Generated Node #0,2,0: 98:[74, 6] Operation: 36/6=6
Exploring Operation: 74-36=38, Resulting Numbers: [6, 38]
Generated Node #0,2,1: 98:[6, 38] Operation: 74-36=38
Exploring Operation: 6+36=42, Resulting Numbers: [74, 42]
Generated Node #0,2,2: 98:[74, 42] Operation: 6+36=42
Exploring Operation: 74+36=110, Resulting Numbers: [6, 110]
Generated Node #0,2,3: 98:[6, 110] Operation: 74+36=110
Exploring Operation: 74+6=80, Resulting Numbers: [36, 80]
Generated Node #0,2,4: 98:[36, 80] Operation: 74+6=80
Moving to Node #0,1,0
Current State: 98:[6, 14], Operations: ['74-62=12', '26-12=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,98 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[6, 14], Operations: ['26+62=88', '88-74=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,98 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Moving to Node #0,1,3
Current State: 98:[12, 20], Operations: ['74-62=12', '26-6=20']
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,98 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 12*20=240, Resulting Numbers: [240]
240,98 unequal: No Solution
Moving to Node #0,3,3
Current State: 98:[100, 56], Operations: ['74+26=100', '62-6=56']
Exploring Operation: 100*56=5600, Resulting Numbers: [5600]
5600,98 unequal: No Solution
Exploring Operation: 100+56=156, Resulting Numbers: [156]
156,98 unequal: No Solution
Exploring Operation: 100-56=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Moving to Node #0,3,1
Current State: 98:[6, 38], Operations: ['74+26=100', '100-62=38']
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,98 unequal: No Solution
Exploring Operation: 6+38=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 6*38=228, Resulting Numbers: [228]
228,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[6, 38], Operations: ['74-62=12', '26+12=38']
Exploring Operation: 6+38=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,98 unequal: No Solution
Exploring Operation: 6*38=228, Resulting Numbers: [228]
228,98 unequal: No Solution
Moving to Node #0,1,4
Current State: 98:[26, 2], Operations: ['74-62=12', '12/6=2']
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,98 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[6, 38], Operations: ['62-26=36', '74-36=38']
Exploring Operation: 6+38=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 6*38=228, Resulting Numbers: [228]
228,98 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[26, 6], Operations: ['74-62=12', '12-6=6']
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,98 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,98 unequal: No Solution
Moving to Node #0,2,3
Current State: 98:[6, 110], Operations: ['62-26=36', '74+36=110']
Exploring Operation: 6+110=116, Resulting Numbers: [116]
116,98 unequal: No Solution
Exploring Operation: 110-6=104, Resulting Numbers: [104]
104,98 unequal: No Solution
Exploring Operation: 6*110=660, Resulting Numbers: [660]
660,98 unequal: No Solution
Moving to Node #0,3,2
Current State: 98:[62, 94], Operations: ['74+26=100', '100-6=94']
Exploring Operation: 62*94=5828, Resulting Numbers: [5828]
5828,98 unequal: No Solution
Exploring Operation: 94-62=32, Resulting Numbers: [32]
32,98 unequal: No Solution
Exploring Operation: 62+94=156, Resulting Numbers: [156]
156,98 unequal: No Solution
Moving to Node #0,3,4
Current State: 98:[100, 68], Operations: ['74+26=100', '6+62=68']
Exploring Operation: 100+68=168, Resulting Numbers: [168]
168,98 unequal: No Solution
Exploring Operation: 100*68=6800, Resulting Numbers: [6800]
6800,98 unequal: No Solution
Exploring Operation: 100-68=32, Resulting Numbers: [32]
32,98 unequal: No Solution
Moving to Node #0,3,0
Current State: 98:[62, 106], Operations: ['74+26=100', '6+100=106']
Exploring Operation: 62+106=168, Resulting Numbers: [168]
168,98 unequal: No Solution
Exploring Operation: 106-62=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 62*106=6572, Resulting Numbers: [6572]
6572,98 unequal: No Solution
Moving to Node #0,2,0
Current State: 98:[74, 6], Operations: ['62-26=36', '36/6=6']
Exploring Operation: 74*6=444, Resulting Numbers: [444]
444,98 unequal: No Solution
Exploring Operation: 74-6=68, Resulting Numbers: [68]
68,98 unequal: No Solution
Exploring Operation: 74+6=80, Resulting Numbers: [80]
80,98 unequal: No Solution
Moving to Node #0,0,3
Current State: 98:[88, 80], Operations: ['26+62=88', '74+6=80']
Exploring Operation: 88-80=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 88*80=7040, Resulting Numbers: [7040]
7040,98 unequal: No Solution
Exploring Operation: 88+80=168, Resulting Numbers: [168]
168,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[74, 94], Operations: ['26+62=88', '6+88=94']
Exploring Operation: 74*94=6956, Resulting Numbers: [6956]
6956,98 unequal: No Solution
Exploring Operation: 74+94=168, Resulting Numbers: [168]
168,98 unequal: No Solution
Exploring Operation: 94-74=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[88, 68], Operations: ['26+62=88', '74-6=68']
Exploring Operation: 88-68=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 88*68=5984, Resulting Numbers: [5984]
5984,98 unequal: No Solution
Exploring Operation: 88+68=156, Resulting Numbers: [156]
156,98 unequal: No Solution
Moving to Node #0,2,4
Current State: 98:[36, 80], Operations: ['62-26=36', '74+6=80']
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 36+80=116, Resulting Numbers: [116]
116,98 unequal: No Solution
Exploring Operation: 36*80=2880, Resulting Numbers: [2880]
2880,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[74, 42], Operations: ['62-26=36', '6+36=42']
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,98 unequal: No Solution
Exploring Operation: 74+42=116, Resulting Numbers: [116]
116,98 unequal: No Solution
Exploring Operation: 74*42=3108, Resulting Numbers: [3108]
3108,98 unequal: No Solution
Moving to Node #0,0,4
Current State: 98:[74, 82], Operations: ['26+62=88', '88-6=82']
Exploring Operation: 74+82=156, Resulting Numbers: [156]
156,98 unequal: No Solution
Exploring Operation: 82-74=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 74*82=6068, Resulting Numbers: [6068]
6068,98 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
75,
38,
39,
58
] | 16 | [
"75+38=113",
"39+58=97",
"113-97=16"
] | Current State: 16:[75, 38, 39, 58], Operations: []
Exploring Operation: 75+38=113, Resulting Numbers: [39, 58, 113]
Generated Node #2: [39, 58, 113] from Operation: 75+38=113
Current State: 16:[39, 58, 113], Operations: ['75+38=113']
Exploring Operation: 39+58=97, Resulting Numbers: [113, 97]
Generated Node #3: [113, 97] from Operation: 39+58=97
Current State: 16:[113, 97], Operations: ['75+38=113', '39+58=97']
Exploring Operation: 113-97=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[75, 38, 39, 58], Operations: []
Exploring Operation: 75-38=37, Resulting Numbers: [39, 58, 37]
Generated Node #0,0: 16:[39, 58, 37] Operation: 75-38=37
Exploring Operation: 58-39=19, Resulting Numbers: [75, 38, 19]
Generated Node #0,1: 16:[75, 38, 19] Operation: 58-39=19
Exploring Operation: 75-58=17, Resulting Numbers: [38, 39, 17]
Generated Node #0,2: 16:[38, 39, 17] Operation: 75-58=17
Exploring Operation: 75-39=36, Resulting Numbers: [38, 58, 36]
Generated Node #0,3: 16:[38, 58, 36] Operation: 75-39=36
Exploring Operation: 58-38=20, Resulting Numbers: [75, 39, 20]
Generated Node #0,4: 16:[75, 39, 20] Operation: 58-38=20
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[38, 39, 17], Operations: ['75-58=17']
Exploring Operation: 39-38=1, Resulting Numbers: [17, 1]
Generated Node #0,2,0: 16:[17, 1] Operation: 39-38=1
Exploring Operation: 38+17=55, Resulting Numbers: [39, 55]
Generated Node #0,2,1: 16:[39, 55] Operation: 38+17=55
Exploring Operation: 38+39=77, Resulting Numbers: [17, 77]
Generated Node #0,2,2: 16:[17, 77] Operation: 38+39=77
Exploring Operation: 39-17=22, Resulting Numbers: [38, 22]
Generated Node #0,2,3: 16:[38, 22] Operation: 39-17=22
Exploring Operation: 38-17=21, Resulting Numbers: [39, 21]
Generated Node #0,2,4: 16:[39, 21] Operation: 38-17=21
Moving to Node #0,2,0
Current State: 16:[17, 1], Operations: ['75-58=17', '39-38=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[75, 38, 39, 58], Operations: []
Exploring Operation: 75-58=17, Resulting Numbers: [38, 39, 17]
Generated Node #0,2: 16:[38, 39, 17] Operation: 75-58=17
Moving to Node #0,2
Current State: 16:[38, 39, 17], Operations: ['75-58=17']
Exploring Operation: 39-38=1, Resulting Numbers: [17, 1]
Generated Node #0,2,0: 16:[17, 1] Operation: 39-38=1
Moving to Node #0,2,0
Current State: 16:[17, 1], Operations: ['75-58=17', '39-38=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
51,
51,
96,
46
] | 51 | [
"51/51=1",
"96-46=50",
"1+50=51"
] | Current State: 51:[51, 51, 96, 46], Operations: []
Exploring Operation: 51/51=1, Resulting Numbers: [96, 46, 1]
Generated Node #2: [96, 46, 1] from Operation: 51/51=1
Current State: 51:[96, 46, 1], Operations: ['51/51=1']
Exploring Operation: 96-46=50, Resulting Numbers: [1, 50]
Generated Node #3: [1, 50] from Operation: 96-46=50
Current State: 51:[1, 50], Operations: ['51/51=1', '96-46=50']
Exploring Operation: 1+50=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[51, 51, 96, 46], Operations: []
Exploring Operation: 96-51=45, Resulting Numbers: [51, 46, 45]
Generated Node #0,0: 51:[51, 46, 45] Operation: 96-51=45
Exploring Operation: 96-51=45, Resulting Numbers: [51, 46, 45]
Generated Node #0,1: 51:[51, 46, 45] Operation: 96-51=45
Exploring Operation: 96-46=50, Resulting Numbers: [51, 51, 50]
Generated Node #0,2: 51:[51, 51, 50] Operation: 96-46=50
Moving to Node #0,2
Current State: 51:[51, 51, 50], Operations: ['96-46=50']
Exploring Operation: 51/51=1, Resulting Numbers: [50, 1]
Generated Node #0,2,0: 51:[50, 1] Operation: 51/51=1
Exploring Operation: 51-50=1, Resulting Numbers: [51, 1]
Generated Node #0,2,1: 51:[51, 1] Operation: 51-50=1
Exploring Operation: 51-50=1, Resulting Numbers: [51, 1]
Generated Node #0,2,2: 51:[51, 1] Operation: 51-50=1
Moving to Node #0,0
Current State: 51:[51, 46, 45], Operations: ['96-51=45']
Exploring Operation: 51-45=6, Resulting Numbers: [46, 6]
Generated Node #0,0,0: 51:[46, 6] Operation: 51-45=6
Exploring Operation: 51-46=5, Resulting Numbers: [45, 5]
Generated Node #0,0,1: 51:[45, 5] Operation: 51-46=5
Exploring Operation: 46-45=1, Resulting Numbers: [51, 1]
Generated Node #0,0,2: 51:[51, 1] Operation: 46-45=1
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 51:[51, 1], Operations: ['96-51=45', '46-45=1']
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[51, 51, 96, 46], Operations: []
Exploring Operation: 96-51=45, Resulting Numbers: [51, 46, 45]
Generated Node #0,0: 51:[51, 46, 45] Operation: 96-51=45
Moving to Node #0,0
Current State: 51:[51, 46, 45], Operations: ['96-51=45']
Exploring Operation: 46-45=1, Resulting Numbers: [51, 1]
Generated Node #0,0,2: 51:[51, 1] Operation: 46-45=1
Moving to Node #0,0,2
Current State: 51:[51, 1], Operations: ['96-51=45', '46-45=1']
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
33,
36,
64,
52
] | 29 | [
"52-36=16",
"64/16=4",
"33-4=29"
] | Current State: 29:[33, 36, 64, 52], Operations: []
Exploring Operation: 52-36=16, Resulting Numbers: [33, 64, 16]
Generated Node #2: [33, 64, 16] from Operation: 52-36=16
Current State: 29:[33, 64, 16], Operations: ['52-36=16']
Exploring Operation: 64/16=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 64/16=4
Current State: 29:[33, 4], Operations: ['52-36=16', '64/16=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[33, 36, 64, 52], Operations: []
Exploring Operation: 64-36=28, Resulting Numbers: [33, 52, 28]
Generated Node #0,0: 29:[33, 52, 28] Operation: 64-36=28
Exploring Operation: 64-52=12, Resulting Numbers: [33, 36, 12]
Generated Node #0,1: 29:[33, 36, 12] Operation: 64-52=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[33, 52, 28], Operations: ['64-36=28']
Exploring Operation: 52-33=19, Resulting Numbers: [28, 19]
Generated Node #0,0,0: 29:[28, 19] Operation: 52-33=19
Exploring Operation: 52-28=24, Resulting Numbers: [33, 24]
Generated Node #0,0,1: 29:[33, 24] Operation: 52-28=24
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 29:[33, 24], Operations: ['64-36=28', '52-28=24']
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,29 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,29 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 #0,0,0
Current State: 29:[28, 19], Operations: ['64-36=28', '52-33=19']
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,29 unequal: No Solution
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,29 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:[33, 36, 12], Operations: ['64-52=12']
Exploring Operation: 33-12=21, Resulting Numbers: [36, 21]
Generated Node #0,1,0: 29:[36, 21] Operation: 33-12=21
Exploring Operation: 36-12=24, Resulting Numbers: [33, 24]
Generated Node #0,1,1: 29:[33, 24] Operation: 36-12=24
Moving to Node #0,1,1
Current State: 29:[33, 24], Operations: ['64-52=12', '36-12=24']
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,29 unequal: No Solution
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[36, 21], Operations: ['64-52=12', '33-12=21']
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,29 unequal: No Solution
Exploring Operation: 36+21=57, Resulting Numbers: [57]
57,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
59,
14,
12,
72
] | 51 | [
"59-14=45",
"72/12=6",
"45+6=51"
] | Current State: 51:[59, 14, 12, 72], Operations: []
Exploring Operation: 59-14=45, Resulting Numbers: [12, 72, 45]
Generated Node #2: [12, 72, 45] from Operation: 59-14=45
Current State: 51:[12, 72, 45], Operations: ['59-14=45']
Exploring Operation: 72/12=6, Resulting Numbers: [45, 6]
Generated Node #3: [45, 6] from Operation: 72/12=6
Current State: 51:[45, 6], Operations: ['59-14=45', '72/12=6']
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[59, 14, 12, 72], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [59, 14, 6]
Generated Node #0,0: 51:[59, 14, 6] Operation: 72/12=6
Exploring Operation: 72-14=58, Resulting Numbers: [59, 12, 58]
Generated Node #0,1: 51:[59, 12, 58] Operation: 72-14=58
Exploring Operation: 72-59=13, Resulting Numbers: [14, 12, 13]
Generated Node #0,2: 51:[14, 12, 13] Operation: 72-59=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[14, 12, 13], Operations: ['72-59=13']
Exploring Operation: 13-12=1, Resulting Numbers: [14, 1]
Generated Node #0,2,0: 51:[14, 1] Operation: 13-12=1
Exploring Operation: 14-13=1, Resulting Numbers: [12, 1]
Generated Node #0,2,1: 51:[12, 1] Operation: 14-13=1
Exploring Operation: 14-12=2, Resulting Numbers: [13, 2]
Generated Node #0,2,2: 51:[13, 2] Operation: 14-12=2
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 51:[14, 1], Operations: ['72-59=13', '13-12=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,51 unequal: No Solution
No 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: 51:[13, 2], Operations: ['72-59=13', '14-12=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,51 unequal: No Solution
No 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: 51:[12, 1], Operations: ['72-59=13', '14-13=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,51 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: 51:[59, 14, 6], Operations: ['72/12=6']
Exploring Operation: 59-6=53, Resulting Numbers: [14, 53]
Generated Node #0,0,0: 51:[14, 53] Operation: 59-6=53
Exploring Operation: 14+6=20, Resulting Numbers: [59, 20]
Generated Node #0,0,1: 51:[59, 20] Operation: 14+6=20
Exploring Operation: 59-14=45, Resulting Numbers: [6, 45]
Generated Node #0,0,2: 51:[6, 45] Operation: 59-14=45
Moving to Node #0,0,0
Current State: 51:[14, 53], Operations: ['72/12=6', '59-6=53']
Exploring Operation: 14*53=742, Resulting Numbers: [742]
742,51 unequal: No Solution
Exploring Operation: 14+53=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[6, 45], Operations: ['72/12=6', '59-14=45']
Exploring Operation: 6*45=270, Resulting Numbers: [270]
270,51 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,51 unequal: No Solution
Exploring Operation: 6+45=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[59, 14, 12, 72], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [59, 14, 6]
Generated Node #0,0: 51:[59, 14, 6] Operation: 72/12=6
Moving to Node #0,0
Current State: 51:[59, 14, 6], Operations: ['72/12=6']
Exploring Operation: 59-14=45, Resulting Numbers: [6, 45]
Generated Node #0,0,2: 51:[6, 45] Operation: 59-14=45
Moving to Node #0,0,2
Current State: 51:[6, 45], Operations: ['72/12=6', '59-14=45']
Exploring Operation: 6+45=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_3 | sum_heuristic |
[
5,
33,
25,
16
] | 12 | [
"25/5=5",
"33-16=17",
"17-5=12"
] | Current State: 12:[5, 33, 25, 16], Operations: []
Exploring Operation: 25/5=5, Resulting Numbers: [33, 16, 5]
Generated Node #2: [33, 16, 5] from Operation: 25/5=5
Current State: 12:[33, 16, 5], Operations: ['25/5=5']
Exploring Operation: 33-16=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 33-16=17
Current State: 12:[5, 17], Operations: ['25/5=5', '33-16=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[5, 33, 25, 16], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [5, 16, 8]
Generated Node #0,0: 12:[5, 16, 8] Operation: 33-25=8
Exploring Operation: 33-16=17, Resulting Numbers: [5, 25, 17]
Generated Node #0,1: 12:[5, 25, 17] Operation: 33-16=17
Moving to Node #0,0
Current State: 12:[5, 16, 8], Operations: ['33-25=8']
Exploring Operation: 16-5=11, Resulting Numbers: [8, 11]
Generated Node #0,0,0: 12:[8, 11] Operation: 16-5=11
Exploring Operation: 16/8=2, Resulting Numbers: [5, 2]
Generated Node #0,0,1: 12:[5, 2] Operation: 16/8=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 12:[5, 2], Operations: ['33-25=8', '16/8=2']
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No 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: 12:[8, 11], Operations: ['33-25=8', '16-5=11']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,12 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: 12:[5, 25, 17], Operations: ['33-16=17']
Exploring Operation: 25-17=8, Resulting Numbers: [5, 8]
Generated Node #0,1,0: 12:[5, 8] Operation: 25-17=8
Exploring Operation: 25/5=5, Resulting Numbers: [17, 5]
Generated Node #0,1,1: 12:[17, 5] Operation: 25/5=5
Moving to Node #0,1,0
Current State: 12:[5, 8], Operations: ['33-16=17', '25-17=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,12 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[17, 5], Operations: ['33-16=17', '25/5=5']
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[5, 33, 25, 16], Operations: []
Exploring Operation: 33-16=17, Resulting Numbers: [5, 25, 17]
Generated Node #0,1: 12:[5, 25, 17] Operation: 33-16=17
Moving to Node #0,1
Current State: 12:[5, 25, 17], Operations: ['33-16=17']
Exploring Operation: 25/5=5, Resulting Numbers: [17, 5]
Generated Node #0,1,1: 12:[17, 5] Operation: 25/5=5
Moving to Node #0,1,1
Current State: 12:[17, 5], Operations: ['33-16=17', '25/5=5']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 0.984375 | hs_2 | sum_heuristic |
[
44,
75,
48,
76
] | 91 | [
"44+75=119",
"76-48=28",
"119-28=91"
] | Current State: 91:[44, 75, 48, 76], Operations: []
Exploring Operation: 44+75=119, Resulting Numbers: [48, 76, 119]
Generated Node #2: [48, 76, 119] from Operation: 44+75=119
Current State: 91:[48, 76, 119], Operations: ['44+75=119']
Exploring Operation: 76-48=28, Resulting Numbers: [119, 28]
Generated Node #3: [119, 28] from Operation: 76-48=28
Current State: 91:[119, 28], Operations: ['44+75=119', '76-48=28']
Exploring Operation: 119-28=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[44, 75, 48, 76], Operations: []
Exploring Operation: 44+48=92, Resulting Numbers: [75, 76, 92]
Generated Node #0,0: 91:[75, 76, 92] Operation: 44+48=92
Exploring Operation: 76-48=28, Resulting Numbers: [44, 75, 28]
Generated Node #0,1: 91:[44, 75, 28] Operation: 76-48=28
Exploring Operation: 75-48=27, Resulting Numbers: [44, 76, 27]
Generated Node #0,2: 91:[44, 76, 27] Operation: 75-48=27
Exploring Operation: 48-44=4, Resulting Numbers: [75, 76, 4]
Generated Node #0,3: 91:[75, 76, 4] Operation: 48-44=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[75, 76, 92], Operations: ['44+48=92']
Exploring Operation: 92-75=17, Resulting Numbers: [76, 17]
Generated Node #0,0,0: 91:[76, 17] Operation: 92-75=17
Exploring Operation: 76-75=1, Resulting Numbers: [92, 1]
Generated Node #0,0,1: 91:[92, 1] Operation: 76-75=1
Exploring Operation: 92-76=16, Resulting Numbers: [75, 16]
Generated Node #0,0,2: 91:[75, 16] Operation: 92-76=16
Exploring Operation: 75+76=151, Resulting Numbers: [92, 151]
Generated Node #0,0,3: 91:[92, 151] Operation: 75+76=151
Moving to Node #0,0,1
Current State: 91:[92, 1], Operations: ['44+48=92', '76-75=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,91 unequal: No Solution
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,91 unequal: No Solution
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[44, 75, 48, 76], Operations: []
Exploring Operation: 44+48=92, Resulting Numbers: [75, 76, 92]
Generated Node #0,0: 91:[75, 76, 92] Operation: 44+48=92
Moving to Node #0,0
Current State: 91:[75, 76, 92], Operations: ['44+48=92']
Exploring Operation: 76-75=1, Resulting Numbers: [92, 1]
Generated Node #0,0,1: 91:[92, 1] Operation: 76-75=1
Moving to Node #0,0,1
Current State: 91:[92, 1], Operations: ['44+48=92', '76-75=1']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
96,
57,
90,
84
] | 73 | [
"90-84=6",
"96/6=16",
"57+16=73"
] | Current State: 73:[96, 57, 90, 84], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [96, 57, 6]
Generated Node #2: [96, 57, 6] from Operation: 90-84=6
Current State: 73:[96, 57, 6], Operations: ['90-84=6']
Exploring Operation: 96/6=16, Resulting Numbers: [57, 16]
Generated Node #3: [57, 16] from Operation: 96/6=16
Current State: 73:[57, 16], Operations: ['90-84=6', '96/6=16']
Exploring Operation: 57+16=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[96, 57, 90, 84], Operations: []
Exploring Operation: 84-57=27, Resulting Numbers: [96, 90, 27]
Generated Node #0,0: 73:[96, 90, 27] Operation: 84-57=27
Exploring Operation: 90-57=33, Resulting Numbers: [96, 84, 33]
Generated Node #0,1: 73:[96, 84, 33] Operation: 90-57=33
Exploring Operation: 96-57=39, Resulting Numbers: [90, 84, 39]
Generated Node #0,2: 73:[90, 84, 39] Operation: 96-57=39
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[90, 84, 39], Operations: ['96-57=39']
Exploring Operation: 90-39=51, Resulting Numbers: [84, 51]
Generated Node #0,2,0: 73:[84, 51] Operation: 90-39=51
Exploring Operation: 90+39=129, Resulting Numbers: [84, 129]
Generated Node #0,2,1: 73:[84, 129] Operation: 90+39=129
Exploring Operation: 84-39=45, Resulting Numbers: [90, 45]
Generated Node #0,2,2: 73:[90, 45] Operation: 84-39=45
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 73:[84, 51], Operations: ['96-57=39', '90-39=51']
Exploring Operation: 84-51=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 84+51=135, Resulting Numbers: [135]
135,73 unequal: No Solution
Exploring Operation: 84*51=4284, Resulting Numbers: [4284]
4284,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 73:[90, 45], Operations: ['96-57=39', '84-39=45']
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 90+45=135, Resulting Numbers: [135]
135,73 unequal: No Solution
Exploring Operation: 90/45=2, Resulting Numbers: [2]
2,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 73:[84, 129], Operations: ['96-57=39', '90+39=129']
Exploring Operation: 84+129=213, Resulting Numbers: [213]
213,73 unequal: No Solution
Exploring Operation: 84*129=10836, Resulting Numbers: [10836]
10836,73 unequal: No Solution
Exploring Operation: 129-84=45, Resulting Numbers: [45]
45,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[96, 84, 33], Operations: ['90-57=33']
Exploring Operation: 84-33=51, Resulting Numbers: [96, 51]
Generated Node #0,1,0: 73:[96, 51] Operation: 84-33=51
Exploring Operation: 96-33=63, Resulting Numbers: [84, 63]
Generated Node #0,1,1: 73:[84, 63] Operation: 96-33=63
Exploring Operation: 96+33=129, Resulting Numbers: [84, 129]
Generated Node #0,1,2: 73:[84, 129] Operation: 96+33=129
Moving to Node #0,1,1
Current State: 73:[84, 63], Operations: ['90-57=33', '96-33=63']
Exploring Operation: 84*63=5292, Resulting Numbers: [5292]
5292,73 unequal: No Solution
Exploring Operation: 84+63=147, Resulting Numbers: [147]
147,73 unequal: No Solution
Exploring Operation: 84-63=21, Resulting Numbers: [21]
21,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[96, 51], Operations: ['90-57=33', '84-33=51']
Exploring Operation: 96-51=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 96+51=147, Resulting Numbers: [147]
147,73 unequal: No Solution
Exploring Operation: 96*51=4896, Resulting Numbers: [4896]
4896,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[84, 129], Operations: ['90-57=33', '96+33=129']
Exploring Operation: 129-84=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 84+129=213, Resulting Numbers: [213]
213,73 unequal: No Solution
Exploring Operation: 84*129=10836, Resulting Numbers: [10836]
10836,73 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 #0,0
Current State: 73:[96, 90, 27], Operations: ['84-57=27']
Exploring Operation: 90-27=63, Resulting Numbers: [96, 63]
Generated Node #0,0,0: 73:[96, 63] Operation: 90-27=63
Exploring Operation: 96-27=69, Resulting Numbers: [90, 69]
Generated Node #0,0,1: 73:[90, 69] Operation: 96-27=69
Exploring Operation: 96+27=123, Resulting Numbers: [90, 123]
Generated Node #0,0,2: 73:[90, 123] Operation: 96+27=123
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[90, 69], Operations: ['84-57=27', '96-27=69']
Exploring Operation: 90*69=6210, Resulting Numbers: [6210]
6210,73 unequal: No Solution
Exploring Operation: 90-69=21, Resulting Numbers: [21]
21,73 unequal: No Solution
Exploring Operation: 90+69=159, Resulting Numbers: [159]
159,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[96, 63], Operations: ['84-57=27', '90-27=63']
Exploring Operation: 96*63=6048, Resulting Numbers: [6048]
6048,73 unequal: No Solution
Exploring Operation: 96+63=159, Resulting Numbers: [159]
159,73 unequal: No Solution
Exploring Operation: 96-63=33, Resulting Numbers: [33]
33,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 73:[90, 123], Operations: ['84-57=27', '96+27=123']
Exploring Operation: 90*123=11070, Resulting Numbers: [11070]
11070,73 unequal: No Solution
Exploring Operation: 123-90=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 90+123=213, Resulting Numbers: [213]
213,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
45,
66,
11,
8
] | 73 | [
"45+11=56",
"56/8=7",
"66+7=73"
] | Current State: 73:[45, 66, 11, 8], Operations: []
Exploring Operation: 45+11=56, Resulting Numbers: [66, 8, 56]
Generated Node #2: [66, 8, 56] from Operation: 45+11=56
Current State: 73:[66, 8, 56], Operations: ['45+11=56']
Exploring Operation: 56/8=7, Resulting Numbers: [66, 7]
Generated Node #3: [66, 7] from Operation: 56/8=7
Current State: 73:[66, 7], Operations: ['45+11=56', '56/8=7']
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[45, 66, 11, 8], Operations: []
Exploring Operation: 11*8=88, Resulting Numbers: [45, 66, 88]
Generated Node #0,0: 73:[45, 66, 88] Operation: 11*8=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[45, 66, 88], Operations: ['11*8=88']
Exploring Operation: 88-45=43, Resulting Numbers: [66, 43]
Generated Node #0,0,0: 73:[66, 43] Operation: 88-45=43
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[66, 43], Operations: ['11*8=88', '88-45=43']
Exploring Operation: 66+43=109, Resulting Numbers: [109]
109,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
85,
43,
26,
42
] | 59 | [
"85-26=59",
"43-42=1",
"59*1=59"
] | Current State: 59:[85, 43, 26, 42], Operations: []
Exploring Operation: 85-26=59, Resulting Numbers: [43, 42, 59]
Generated Node #2: [43, 42, 59] from Operation: 85-26=59
Current State: 59:[43, 42, 59], Operations: ['85-26=59']
Exploring Operation: 43-42=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 43-42=1
Current State: 59:[59, 1], Operations: ['85-26=59', '43-42=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[85, 43, 26, 42], Operations: []
Exploring Operation: 85-42=43, Resulting Numbers: [43, 26, 43]
Generated Node #0,0: 59:[43, 26, 43] Operation: 85-42=43
Exploring Operation: 85-26=59, Resulting Numbers: [43, 42, 59]
Generated Node #0,1: 59:[43, 42, 59] Operation: 85-26=59
Exploring Operation: 85-43=42, Resulting Numbers: [26, 42, 42]
Generated Node #0,2: 59:[26, 42, 42] Operation: 85-43=42
Exploring Operation: 26+42=68, Resulting Numbers: [85, 43, 68]
Generated Node #0,3: 59:[85, 43, 68] Operation: 26+42=68
Exploring Operation: 43+26=69, Resulting Numbers: [85, 42, 69]
Generated Node #0,4: 59:[85, 42, 69] Operation: 43+26=69
Moving to Node #0,1
Current State: 59:[43, 42, 59], Operations: ['85-26=59']
Exploring Operation: 42+59=101, Resulting Numbers: [43, 101]
Generated Node #0,1,0: 59:[43, 101] Operation: 42+59=101
Exploring Operation: 43-42=1, Resulting Numbers: [59, 1]
Generated Node #0,1,1: 59:[59, 1] Operation: 43-42=1
Exploring Operation: 43+42=85, Resulting Numbers: [59, 85]
Generated Node #0,1,2: 59:[59, 85] Operation: 43+42=85
Exploring Operation: 43+59=102, Resulting Numbers: [42, 102]
Generated Node #0,1,3: 59:[42, 102] Operation: 43+59=102
Exploring Operation: 59-42=17, Resulting Numbers: [43, 17]
Generated Node #0,1,4: 59:[43, 17] Operation: 59-42=17
Moving to Node #0,3
Current State: 59:[85, 43, 68], Operations: ['26+42=68']
Exploring Operation: 85-68=17, Resulting Numbers: [43, 17]
Generated Node #0,3,0: 59:[43, 17] Operation: 85-68=17
Exploring Operation: 68-43=25, Resulting Numbers: [85, 25]
Generated Node #0,3,1: 59:[85, 25] Operation: 68-43=25
Exploring Operation: 43+68=111, Resulting Numbers: [85, 111]
Generated Node #0,3,2: 59:[85, 111] Operation: 43+68=111
Exploring Operation: 85+43=128, Resulting Numbers: [68, 128]
Generated Node #0,3,3: 59:[68, 128] Operation: 85+43=128
Exploring Operation: 85-43=42, Resulting Numbers: [68, 42]
Generated Node #0,3,4: 59:[68, 42] Operation: 85-43=42
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 59:[68, 42], Operations: ['26+42=68', '85-43=42']
Exploring Operation: 68+42=110, Resulting Numbers: [110]
110,59 unequal: No Solution
Exploring Operation: 68*42=2856, Resulting Numbers: [2856]
2856,59 unequal: No Solution
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,59 unequal: No Solution
No 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: 59:[43, 17], Operations: ['26+42=68', '85-68=17']
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 43+17=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 43*17=731, Resulting Numbers: [731]
731,59 unequal: No Solution
No 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: 59:[85, 25], Operations: ['26+42=68', '68-43=25']
Exploring Operation: 85*25=2125, Resulting Numbers: [2125]
2125,59 unequal: No Solution
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 85+25=110, Resulting Numbers: [110]
110,59 unequal: No Solution
No 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: 59:[85, 111], Operations: ['26+42=68', '43+68=111']
Exploring Operation: 85*111=9435, Resulting Numbers: [9435]
9435,59 unequal: No Solution
Exploring Operation: 111-85=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 85+111=196, Resulting Numbers: [196]
196,59 unequal: No Solution
No 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: 59:[68, 128], Operations: ['26+42=68', '85+43=128']
Exploring Operation: 68*128=8704, Resulting Numbers: [8704]
8704,59 unequal: No Solution
Exploring Operation: 128-68=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 68+128=196, Resulting Numbers: [196]
196,59 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: 59:[85, 42, 69], Operations: ['43+26=69']
Exploring Operation: 85-42=43, Resulting Numbers: [69, 43]
Generated Node #0,4,0: 59:[69, 43] Operation: 85-42=43
Exploring Operation: 85-69=16, Resulting Numbers: [42, 16]
Generated Node #0,4,1: 59:[42, 16] Operation: 85-69=16
Exploring Operation: 85+42=127, Resulting Numbers: [69, 127]
Generated Node #0,4,2: 59:[69, 127] Operation: 85+42=127
Exploring Operation: 42+69=111, Resulting Numbers: [85, 111]
Generated Node #0,4,3: 59:[85, 111] Operation: 42+69=111
Exploring Operation: 69-42=27, Resulting Numbers: [85, 27]
Generated Node #0,4,4: 59:[85, 27] Operation: 69-42=27
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 59:[69, 43], Operations: ['43+26=69', '85-42=43']
Exploring Operation: 69-43=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 69+43=112, Resulting Numbers: [112]
112,59 unequal: No Solution
Exploring Operation: 69*43=2967, Resulting Numbers: [2967]
2967,59 unequal: No Solution
No 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: 59:[85, 27], Operations: ['43+26=69', '69-42=27']
Exploring Operation: 85-27=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 85*27=2295, Resulting Numbers: [2295]
2295,59 unequal: No Solution
Exploring Operation: 85+27=112, Resulting Numbers: [112]
112,59 unequal: No Solution
No 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: 59:[42, 16], Operations: ['43+26=69', '85-69=16']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 42*16=672, Resulting Numbers: [672]
672,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 59:[69, 127], Operations: ['43+26=69', '85+42=127']
Exploring Operation: 69+127=196, Resulting Numbers: [196]
196,59 unequal: No Solution
Exploring Operation: 127-69=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 69*127=8763, Resulting Numbers: [8763]
8763,59 unequal: No Solution
No 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: 59:[85, 111], Operations: ['43+26=69', '42+69=111']
Exploring Operation: 85*111=9435, Resulting Numbers: [9435]
9435,59 unequal: No Solution
Exploring Operation: 85+111=196, Resulting Numbers: [196]
196,59 unequal: No Solution
Exploring Operation: 111-85=26, Resulting Numbers: [26]
26,59 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: 59:[43, 26, 43], Operations: ['85-42=43']
Exploring Operation: 43+43=86, Resulting Numbers: [26, 86]
Generated Node #0,0,0: 59:[26, 86] Operation: 43+43=86
Exploring Operation: 43-26=17, Resulting Numbers: [43, 17]
Generated Node #0,0,1: 59:[43, 17] Operation: 43-26=17
Exploring Operation: 26+43=69, Resulting Numbers: [43, 69]
Generated Node #0,0,2: 59:[43, 69] Operation: 26+43=69
Exploring Operation: 43+26=69, Resulting Numbers: [43, 69]
Generated Node #0,0,3: 59:[43, 69] Operation: 43+26=69
Exploring Operation: 43-26=17, Resulting Numbers: [43, 17]
Generated Node #0,0,4: 59:[43, 17] Operation: 43-26=17
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[43, 69], Operations: ['85-42=43', '26+43=69']
Exploring Operation: 69-43=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 43+69=112, Resulting Numbers: [112]
112,59 unequal: No Solution
Exploring Operation: 43*69=2967, Resulting Numbers: [2967]
2967,59 unequal: No Solution
No 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: 59:[43, 69], Operations: ['85-42=43', '43+26=69']
Exploring Operation: 43+69=112, Resulting Numbers: [112]
112,59 unequal: No Solution
Exploring Operation: 69-43=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 43*69=2967, Resulting Numbers: [2967]
2967,59 unequal: No Solution
No 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: 59:[43, 17], Operations: ['85-42=43', '43-26=17']
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 43+17=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 43*17=731, Resulting Numbers: [731]
731,59 unequal: No Solution
No 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: 59:[43, 17], Operations: ['85-42=43', '43-26=17']
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 43+17=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 43*17=731, Resulting Numbers: [731]
731,59 unequal: No Solution
No 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: 59:[26, 86], Operations: ['85-42=43', '43+43=86']
Exploring Operation: 26+86=112, Resulting Numbers: [112]
112,59 unequal: No Solution
Exploring Operation: 26*86=2236, Resulting Numbers: [2236]
2236,59 unequal: No Solution
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,59 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: 59:[26, 42, 42], Operations: ['85-43=42']
Exploring Operation: 26+42=68, Resulting Numbers: [42, 68]
Generated Node #0,2,0: 59:[42, 68] Operation: 26+42=68
Exploring Operation: 42+42=84, Resulting Numbers: [26, 84]
Generated Node #0,2,1: 59:[26, 84] Operation: 42+42=84
Exploring Operation: 26+42=68, Resulting Numbers: [42, 68]
Generated Node #0,2,2: 59:[42, 68] Operation: 26+42=68
Exploring Operation: 42-26=16, Resulting Numbers: [42, 16]
Generated Node #0,2,3: 59:[42, 16] Operation: 42-26=16
Exploring Operation: 42-26=16, Resulting Numbers: [42, 16]
Generated Node #0,2,4: 59:[42, 16] Operation: 42-26=16
Moving to Node #0,1,2
Current State: 59:[59, 85], Operations: ['85-26=59', '43+42=85']
Exploring Operation: 59*85=5015, Resulting Numbers: [5015]
5015,59 unequal: No Solution
Exploring Operation: 85-59=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 59+85=144, Resulting Numbers: [144]
144,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[42, 68], Operations: ['85-43=42', '26+42=68']
Exploring Operation: 42*68=2856, Resulting Numbers: [2856]
2856,59 unequal: No Solution
Exploring Operation: 42+68=110, Resulting Numbers: [110]
110,59 unequal: No Solution
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[42, 68], Operations: ['85-43=42', '26+42=68']
Exploring Operation: 42*68=2856, Resulting Numbers: [2856]
2856,59 unequal: No Solution
Exploring Operation: 42+68=110, Resulting Numbers: [110]
110,59 unequal: No Solution
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[59, 1], Operations: ['85-26=59', '43-42=1']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[85, 43, 26, 42], Operations: []
Exploring Operation: 85-26=59, Resulting Numbers: [43, 42, 59]
Generated Node #0,1: 59:[43, 42, 59] Operation: 85-26=59
Moving to Node #0,1
Current State: 59:[43, 42, 59], Operations: ['85-26=59']
Exploring Operation: 43-42=1, Resulting Numbers: [59, 1]
Generated Node #0,1,1: 59:[59, 1] Operation: 43-42=1
Moving to Node #0,1,1
Current State: 59:[59, 1], Operations: ['85-26=59', '43-42=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 0.921007 | hs_5 | mult_heuristic |
[
75,
21,
20,
17
] | 15 | [
"21-17=4",
"75*4=300",
"300/20=15"
] | Current State: 15:[75, 21, 20, 17], Operations: []
Exploring Operation: 21-17=4, Resulting Numbers: [75, 20, 4]
Generated Node #2: [75, 20, 4] from Operation: 21-17=4
Current State: 15:[75, 20, 4], Operations: ['21-17=4']
Exploring Operation: 75*4=300, Resulting Numbers: [20, 300]
Generated Node #3: [20, 300] from Operation: 75*4=300
Current State: 15:[20, 300], Operations: ['21-17=4', '75*4=300']
Exploring Operation: 300/20=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[75, 21, 20, 17], Operations: []
Exploring Operation: 75-21=54, Resulting Numbers: [20, 17, 54]
Generated Node #0,0: 15:[20, 17, 54] Operation: 75-21=54
Exploring Operation: 75-20=55, Resulting Numbers: [21, 17, 55]
Generated Node #0,1: 15:[21, 17, 55] Operation: 75-20=55
Exploring Operation: 75-17=58, Resulting Numbers: [21, 20, 58]
Generated Node #0,2: 15:[21, 20, 58] Operation: 75-17=58
Moving to Node #0,0
Current State: 15:[20, 17, 54], Operations: ['75-21=54']
Exploring Operation: 54-20=34, Resulting Numbers: [17, 34]
Generated Node #0,0,0: 15:[17, 34] Operation: 54-20=34
Exploring Operation: 20-17=3, Resulting Numbers: [54, 3]
Generated Node #0,0,1: 15:[54, 3] Operation: 20-17=3
Exploring Operation: 54-17=37, Resulting Numbers: [20, 37]
Generated Node #0,0,2: 15:[20, 37] Operation: 54-17=37
Moving to Node #0,1
Current State: 15:[21, 17, 55], Operations: ['75-20=55']
Exploring Operation: 21-17=4, Resulting Numbers: [55, 4]
Generated Node #0,1,0: 15:[55, 4] Operation: 21-17=4
Exploring Operation: 55-17=38, Resulting Numbers: [21, 38]
Generated Node #0,1,1: 15:[21, 38] Operation: 55-17=38
Exploring Operation: 55-21=34, Resulting Numbers: [17, 34]
Generated Node #0,1,2: 15:[17, 34] Operation: 55-21=34
Moving to Node #0,2
Current State: 15:[21, 20, 58], Operations: ['75-17=58']
Exploring Operation: 58-21=37, Resulting Numbers: [20, 37]
Generated Node #0,2,0: 15:[20, 37] Operation: 58-21=37
Exploring Operation: 21-20=1, Resulting Numbers: [58, 1]
Generated Node #0,2,1: 15:[58, 1] Operation: 21-20=1
Exploring Operation: 58-20=38, Resulting Numbers: [21, 38]
Generated Node #0,2,2: 15:[21, 38] Operation: 58-20=38
Moving to Node #0,0,0
Current State: 15:[17, 34], Operations: ['75-21=54', '54-20=34']
Exploring Operation: 17+34=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[17, 34], Operations: ['75-20=55', '55-21=34']
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Exploring Operation: 17+34=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[20, 37], Operations: ['75-17=58', '58-21=37']
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 20*37=740, Resulting Numbers: [740]
740,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[20, 37], Operations: ['75-21=54', '54-17=37']
Exploring Operation: 20*37=740, Resulting Numbers: [740]
740,15 unequal: No Solution
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[21, 38], Operations: ['75-20=55', '55-17=38']
Exploring Operation: 21*38=798, Resulting Numbers: [798]
798,15 unequal: No Solution
Exploring Operation: 21+38=59, Resulting Numbers: [59]
59,15 unequal: No Solution
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[21, 38], Operations: ['75-17=58', '58-20=38']
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Exploring Operation: 21+38=59, Resulting Numbers: [59]
59,15 unequal: No Solution
Exploring Operation: 21*38=798, Resulting Numbers: [798]
798,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[54, 3], Operations: ['75-21=54', '20-17=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[55, 4], Operations: ['75-20=55', '21-17=4']
Exploring Operation: 55*4=220, Resulting Numbers: [220]
220,15 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[58, 1], Operations: ['75-17=58', '21-20=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,15 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,15 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
90,
72,
11,
80
] | 53 | [
"72*80=5760",
"5760/90=64",
"64-11=53"
] | Current State: 53:[90, 72, 11, 80], Operations: []
Exploring Operation: 72*80=5760, Resulting Numbers: [90, 11, 5760]
Generated Node #2: [90, 11, 5760] from Operation: 72*80=5760
Current State: 53:[90, 11, 5760], Operations: ['72*80=5760']
Exploring Operation: 5760/90=64, Resulting Numbers: [11, 64]
Generated Node #3: [11, 64] from Operation: 5760/90=64
Current State: 53:[11, 64], Operations: ['72*80=5760', '5760/90=64']
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[90, 72, 11, 80], Operations: []
Exploring Operation: 90-11=79, Resulting Numbers: [72, 80, 79]
Generated Node #0,0: 53:[72, 80, 79] Operation: 90-11=79
Exploring Operation: 72-11=61, Resulting Numbers: [90, 80, 61]
Generated Node #0,1: 53:[90, 80, 61] Operation: 72-11=61
Exploring Operation: 80-11=69, Resulting Numbers: [90, 72, 69]
Generated Node #0,2: 53:[90, 72, 69] Operation: 80-11=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[72, 80, 79], Operations: ['90-11=79']
Exploring Operation: 80-72=8, Resulting Numbers: [79, 8]
Generated Node #0,0,0: 53:[79, 8] Operation: 80-72=8
Exploring Operation: 80-79=1, Resulting Numbers: [72, 1]
Generated Node #0,0,1: 53:[72, 1] Operation: 80-79=1
Exploring Operation: 79-72=7, Resulting Numbers: [80, 7]
Generated Node #0,0,2: 53:[80, 7] Operation: 79-72=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[79, 8], Operations: ['90-11=79', '80-72=8']
Exploring Operation: 79+8=87, Resulting Numbers: [87]
87,53 unequal: No Solution
Exploring Operation: 79-8=71, Resulting Numbers: [71]
71,53 unequal: No Solution
Exploring Operation: 79*8=632, Resulting Numbers: [632]
632,53 unequal: No Solution
No 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: 53:[72, 1], Operations: ['90-11=79', '80-79=1']
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,53 unequal: No Solution
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,53 unequal: No Solution
Exploring Operation: 72/1=72, Resulting Numbers: [72]
72,53 unequal: No Solution
No 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: 53:[80, 7], Operations: ['90-11=79', '79-72=7']
Exploring Operation: 80*7=560, Resulting Numbers: [560]
560,53 unequal: No Solution
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,53 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: 53:[90, 80, 61], Operations: ['72-11=61']
Exploring Operation: 90-61=29, Resulting Numbers: [80, 29]
Generated Node #0,1,0: 53:[80, 29] Operation: 90-61=29
Exploring Operation: 80-61=19, Resulting Numbers: [90, 19]
Generated Node #0,1,1: 53:[90, 19] Operation: 80-61=19
Exploring Operation: 90-80=10, Resulting Numbers: [61, 10]
Generated Node #0,1,2: 53:[61, 10] Operation: 90-80=10
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[80, 29], Operations: ['72-11=61', '90-61=29']
Exploring Operation: 80-29=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Exploring Operation: 80*29=2320, Resulting Numbers: [2320]
2320,53 unequal: No Solution
Exploring Operation: 80+29=109, Resulting Numbers: [109]
109,53 unequal: No Solution
No 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: 53:[61, 10], Operations: ['72-11=61', '90-80=10']
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Exploring Operation: 61+10=71, Resulting Numbers: [71]
71,53 unequal: No Solution
Exploring Operation: 61*10=610, Resulting Numbers: [610]
610,53 unequal: No Solution
No 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: 53:[90, 19], Operations: ['72-11=61', '80-61=19']
Exploring Operation: 90-19=71, Resulting Numbers: [71]
71,53 unequal: No Solution
Exploring Operation: 90*19=1710, Resulting Numbers: [1710]
1710,53 unequal: No Solution
Exploring Operation: 90+19=109, Resulting Numbers: [109]
109,53 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: 53:[90, 72, 69], Operations: ['80-11=69']
Exploring Operation: 90-69=21, Resulting Numbers: [72, 21]
Generated Node #0,2,0: 53:[72, 21] Operation: 90-69=21
Exploring Operation: 90-72=18, Resulting Numbers: [69, 18]
Generated Node #0,2,1: 53:[69, 18] Operation: 90-72=18
Exploring Operation: 72-69=3, Resulting Numbers: [90, 3]
Generated Node #0,2,2: 53:[90, 3] Operation: 72-69=3
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 53:[72, 21], Operations: ['80-11=69', '90-69=21']
Exploring Operation: 72*21=1512, Resulting Numbers: [1512]
1512,53 unequal: No Solution
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Exploring Operation: 72+21=93, Resulting Numbers: [93]
93,53 unequal: No Solution
No 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: 53:[69, 18], Operations: ['80-11=69', '90-72=18']
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,53 unequal: No Solution
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,53 unequal: No Solution
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,53 unequal: No Solution
No 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: 53:[90, 3], Operations: ['80-11=69', '72-69=3']
Exploring Operation: 90+3=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,53 unequal: No Solution
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,53 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 | sum_heuristic |
[
2,
51,
51,
83
] | 38 | [
"51+51=102",
"102-83=19",
"2*19=38"
] | Current State: 38:[2, 51, 51, 83], Operations: []
Exploring Operation: 51+51=102, Resulting Numbers: [2, 83, 102]
Generated Node #2: [2, 83, 102] from Operation: 51+51=102
Current State: 38:[2, 83, 102], Operations: ['51+51=102']
Exploring Operation: 102-83=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 102-83=19
Current State: 38:[2, 19], Operations: ['51+51=102', '102-83=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[2, 51, 51, 83], Operations: []
Exploring Operation: 83-51=32, Resulting Numbers: [2, 51, 32]
Generated Node #0,0: 38:[2, 51, 32] Operation: 83-51=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[2, 51, 32], Operations: ['83-51=32']
Exploring Operation: 51-32=19, Resulting Numbers: [2, 19]
Generated Node #0,0,0: 38:[2, 19] Operation: 51-32=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[2, 19], Operations: ['83-51=32', '51-32=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[2, 51, 51, 83], Operations: []
Exploring Operation: 83-51=32, Resulting Numbers: [2, 51, 32]
Generated Node #0,0: 38:[2, 51, 32] Operation: 83-51=32
Moving to Node #0,0
Current State: 38:[2, 51, 32], Operations: ['83-51=32']
Exploring Operation: 51-32=19, Resulting Numbers: [2, 19]
Generated Node #0,0,0: 38:[2, 19] Operation: 51-32=19
Moving to Node #0,0,0
Current State: 38:[2, 19], Operations: ['83-51=32', '51-32=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
53,
29,
17,
62
] | 21 | [
"53-29=24",
"62-17=45",
"45-24=21"
] | Current State: 21:[53, 29, 17, 62], Operations: []
Exploring Operation: 53-29=24, Resulting Numbers: [17, 62, 24]
Generated Node #2: [17, 62, 24] from Operation: 53-29=24
Current State: 21:[17, 62, 24], Operations: ['53-29=24']
Exploring Operation: 62-17=45, Resulting Numbers: [24, 45]
Generated Node #3: [24, 45] from Operation: 62-17=45
Current State: 21:[24, 45], Operations: ['53-29=24', '62-17=45']
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[53, 29, 17, 62], Operations: []
Exploring Operation: 53-29=24, Resulting Numbers: [17, 62, 24]
Generated Node #0,0: 21:[17, 62, 24] Operation: 53-29=24
Exploring Operation: 62-53=9, Resulting Numbers: [29, 17, 9]
Generated Node #0,1: 21:[29, 17, 9] Operation: 62-53=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[29, 17, 9], Operations: ['62-53=9']
Exploring Operation: 29-17=12, Resulting Numbers: [9, 12]
Generated Node #0,1,0: 21:[9, 12] Operation: 29-17=12
Exploring Operation: 29-9=20, Resulting Numbers: [17, 20]
Generated Node #0,1,1: 21:[17, 20] Operation: 29-9=20
Moving to Node #0,1,1
Current State: 21:[17, 20], Operations: ['62-53=9', '29-9=20']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[9, 12], Operations: ['62-53=9', '29-17=12']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[53, 29, 17, 62], Operations: []
Exploring Operation: 62-53=9, Resulting Numbers: [29, 17, 9]
Generated Node #0,1: 21:[29, 17, 9] Operation: 62-53=9
Moving to Node #0,1
Current State: 21:[29, 17, 9], Operations: ['62-53=9']
Exploring Operation: 29-17=12, Resulting Numbers: [9, 12]
Generated Node #0,1,0: 21:[9, 12] Operation: 29-17=12
Moving to Node #0,1,0
Current State: 21:[9, 12], Operations: ['62-53=9', '29-17=12']
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
25,
19,
87,
8
] | 30 | [
"87+8=95",
"95/19=5",
"25+5=30"
] | Current State: 30:[25, 19, 87, 8], Operations: []
Exploring Operation: 87+8=95, Resulting Numbers: [25, 19, 95]
Generated Node #2: [25, 19, 95] from Operation: 87+8=95
Current State: 30:[25, 19, 95], Operations: ['87+8=95']
Exploring Operation: 95/19=5, Resulting Numbers: [25, 5]
Generated Node #3: [25, 5] from Operation: 95/19=5
Current State: 30:[25, 5], Operations: ['87+8=95', '95/19=5']
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[25, 19, 87, 8], Operations: []
Exploring Operation: 87-25=62, Resulting Numbers: [19, 8, 62]
Generated Node #0,0: 30:[19, 8, 62] Operation: 87-25=62
Exploring Operation: 87-19=68, Resulting Numbers: [25, 8, 68]
Generated Node #0,1: 30:[25, 8, 68] Operation: 87-19=68
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[19, 8, 62], Operations: ['87-25=62']
Exploring Operation: 62-19=43, Resulting Numbers: [8, 43]
Generated Node #0,0,0: 30:[8, 43] Operation: 62-19=43
Exploring Operation: 62-8=54, Resulting Numbers: [19, 54]
Generated Node #0,0,1: 30:[19, 54] Operation: 62-8=54
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[8, 43], Operations: ['87-25=62', '62-19=43']
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,30 unequal: No Solution
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[19, 54], Operations: ['87-25=62', '62-8=54']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 19+54=73, Resulting Numbers: [73]
73,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[25, 8, 68], Operations: ['87-19=68']
Exploring Operation: 68-25=43, Resulting Numbers: [8, 43]
Generated Node #0,1,0: 30:[8, 43] Operation: 68-25=43
Exploring Operation: 68-8=60, Resulting Numbers: [25, 60]
Generated Node #0,1,1: 30:[25, 60] Operation: 68-8=60
Moving to Node #0,1,0
Current State: 30:[8, 43], Operations: ['87-19=68', '68-25=43']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[25, 60], Operations: ['87-19=68', '68-8=60']
Exploring Operation: 25+60=85, Resulting Numbers: [85]
85,30 unequal: No Solution
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,30 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 |
[
16,
79,
25,
66
] | 22 | [
"79-16=63",
"66-25=41",
"63-41=22"
] | Current State: 22:[16, 79, 25, 66], Operations: []
Exploring Operation: 79-16=63, Resulting Numbers: [25, 66, 63]
Generated Node #2: [25, 66, 63] from Operation: 79-16=63
Current State: 22:[25, 66, 63], Operations: ['79-16=63']
Exploring Operation: 66-25=41, Resulting Numbers: [63, 41]
Generated Node #3: [63, 41] from Operation: 66-25=41
Current State: 22:[63, 41], Operations: ['79-16=63', '66-25=41']
Exploring Operation: 63-41=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[16, 79, 25, 66], Operations: []
Exploring Operation: 79-66=13, Resulting Numbers: [16, 25, 13]
Generated Node #0,0: 22:[16, 25, 13] Operation: 79-66=13
Exploring Operation: 79-25=54, Resulting Numbers: [16, 66, 54]
Generated Node #0,1: 22:[16, 66, 54] Operation: 79-25=54
Exploring Operation: 66-25=41, Resulting Numbers: [16, 79, 41]
Generated Node #0,2: 22:[16, 79, 41] Operation: 66-25=41
Moving to Node #0,0
Current State: 22:[16, 25, 13], Operations: ['79-66=13']
Exploring Operation: 25-16=9, Resulting Numbers: [13, 9]
Generated Node #0,0,0: 22:[13, 9] Operation: 25-16=9
Exploring Operation: 16-13=3, Resulting Numbers: [25, 3]
Generated Node #0,0,1: 22:[25, 3] Operation: 16-13=3
Exploring Operation: 25-13=12, Resulting Numbers: [16, 12]
Generated Node #0,0,2: 22:[16, 12] Operation: 25-13=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[13, 9], Operations: ['79-66=13', '25-16=9']
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Exploring Operation: 13+9=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[16, 79, 25, 66], Operations: []
Exploring Operation: 79-66=13, Resulting Numbers: [16, 25, 13]
Generated Node #0,0: 22:[16, 25, 13] Operation: 79-66=13
Moving to Node #0,0
Current State: 22:[16, 25, 13], Operations: ['79-66=13']
Exploring Operation: 25-16=9, Resulting Numbers: [13, 9]
Generated Node #0,0,0: 22:[13, 9] Operation: 25-16=9
Moving to Node #0,0,0
Current State: 22:[13, 9], Operations: ['79-66=13', '25-16=9']
Exploring Operation: 13+9=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
45,
2,
15,
58
] | 20 | [
"45/15=3",
"2+58=60",
"60/3=20"
] | Current State: 20:[45, 2, 15, 58], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [2, 58, 3]
Generated Node #2: [2, 58, 3] from Operation: 45/15=3
Current State: 20:[2, 58, 3], Operations: ['45/15=3']
Exploring Operation: 2+58=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 2+58=60
Current State: 20:[3, 60], Operations: ['45/15=3', '2+58=60']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[45, 2, 15, 58], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [2, 58, 3]
Generated Node #0,0: 20:[2, 58, 3] Operation: 45/15=3
Exploring Operation: 58-45=13, Resulting Numbers: [2, 15, 13]
Generated Node #0,1: 20:[2, 15, 13] Operation: 58-45=13
Moving to Node #0,1
Current State: 20:[2, 15, 13], Operations: ['58-45=13']
Exploring Operation: 15-13=2, Resulting Numbers: [2, 2]
Generated Node #0,1,0: 20:[2, 2] Operation: 15-13=2
Exploring Operation: 2+15=17, Resulting Numbers: [13, 17]
Generated Node #0,1,1: 20:[13, 17] Operation: 2+15=17
Moving to Node #0,0
Current State: 20:[2, 58, 3], Operations: ['45/15=3']
Exploring Operation: 58/2=29, Resulting Numbers: [3, 29]
Generated Node #0,0,0: 20:[3, 29] Operation: 58/2=29
Exploring Operation: 58-3=55, Resulting Numbers: [2, 55]
Generated Node #0,0,1: 20:[2, 55] Operation: 58-3=55
Moving to Node #0,1,0
Current State: 20:[2, 2], Operations: ['58-45=13', '15-13=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[13, 17], Operations: ['58-45=13', '2+15=17']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[3, 29], Operations: ['45/15=3', '58/2=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,20 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,20 unequal: No Solution
Moving to Node #0,0,1
Current State: 20:[2, 55], Operations: ['45/15=3', '58-3=55']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,20 unequal: No Solution
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,20 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
65,
72,
5,
98
] | 34 | [
"65+72=137",
"5+98=103",
"137-103=34"
] | Current State: 34:[65, 72, 5, 98], Operations: []
Exploring Operation: 65+72=137, Resulting Numbers: [5, 98, 137]
Generated Node #2: [5, 98, 137] from Operation: 65+72=137
Current State: 34:[5, 98, 137], Operations: ['65+72=137']
Exploring Operation: 5+98=103, Resulting Numbers: [137, 103]
Generated Node #3: [137, 103] from Operation: 5+98=103
Current State: 34:[137, 103], Operations: ['65+72=137', '5+98=103']
Exploring Operation: 137-103=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[65, 72, 5, 98], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [5, 98, 7]
Generated Node #0,0: 34:[5, 98, 7] Operation: 72-65=7
Exploring Operation: 98-72=26, Resulting Numbers: [65, 5, 26]
Generated Node #0,1: 34:[65, 5, 26] Operation: 98-72=26
Exploring Operation: 98-65=33, Resulting Numbers: [72, 5, 33]
Generated Node #0,2: 34:[72, 5, 33] Operation: 98-65=33
Moving to Node #0,1
Current State: 34:[65, 5, 26], Operations: ['98-72=26']
Exploring Operation: 65-5=60, Resulting Numbers: [26, 60]
Generated Node #0,1,0: 34:[26, 60] Operation: 65-5=60
Exploring Operation: 65/5=13, Resulting Numbers: [26, 13]
Generated Node #0,1,1: 34:[26, 13] Operation: 65/5=13
Exploring Operation: 65-26=39, Resulting Numbers: [5, 39]
Generated Node #0,1,2: 34:[5, 39] Operation: 65-26=39
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 34:[5, 39], Operations: ['98-72=26', '65-26=39']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[65, 72, 5, 98], Operations: []
Exploring Operation: 98-72=26, Resulting Numbers: [65, 5, 26]
Generated Node #0,1: 34:[65, 5, 26] Operation: 98-72=26
Moving to Node #0,1
Current State: 34:[65, 5, 26], Operations: ['98-72=26']
Exploring Operation: 65-26=39, Resulting Numbers: [5, 39]
Generated Node #0,1,2: 34:[5, 39] Operation: 65-26=39
Moving to Node #0,1,2
Current State: 34:[5, 39], Operations: ['98-72=26', '65-26=39']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
23,
97,
81,
26
] | 93 | [
"23+81=104",
"104/26=4",
"97-4=93"
] | Current State: 93:[23, 97, 81, 26], Operations: []
Exploring Operation: 23+81=104, Resulting Numbers: [97, 26, 104]
Generated Node #2: [97, 26, 104] from Operation: 23+81=104
Current State: 93:[97, 26, 104], Operations: ['23+81=104']
Exploring Operation: 104/26=4, Resulting Numbers: [97, 4]
Generated Node #3: [97, 4] from Operation: 104/26=4
Current State: 93:[97, 4], Operations: ['23+81=104', '104/26=4']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[23, 97, 81, 26], Operations: []
Exploring Operation: 23+81=104, Resulting Numbers: [97, 26, 104]
Generated Node #0,0: 93:[97, 26, 104] Operation: 23+81=104
Exploring Operation: 26-23=3, Resulting Numbers: [97, 81, 3]
Generated Node #0,1: 93:[97, 81, 3] Operation: 26-23=3
Moving to Node #0,1
Current State: 93:[97, 81, 3], Operations: ['26-23=3']
Exploring Operation: 97-81=16, Resulting Numbers: [3, 16]
Generated Node #0,1,0: 93:[3, 16] Operation: 97-81=16
Exploring Operation: 81/3=27, Resulting Numbers: [97, 27]
Generated Node #0,1,1: 93:[97, 27] Operation: 81/3=27
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[97, 27], Operations: ['26-23=3', '81/3=27']
Exploring Operation: 97-27=70, Resulting Numbers: [70]
70,93 unequal: No Solution
Exploring Operation: 97+27=124, Resulting Numbers: [124]
124,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[3, 16], Operations: ['26-23=3', '97-81=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,93 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:[97, 26, 104], Operations: ['23+81=104']
Exploring Operation: 104-97=7, Resulting Numbers: [26, 7]
Generated Node #0,0,0: 93:[26, 7] Operation: 104-97=7
Exploring Operation: 104/26=4, Resulting Numbers: [97, 4]
Generated Node #0,0,1: 93:[97, 4] Operation: 104/26=4
Moving to Node #0,0,1
Current State: 93:[97, 4], Operations: ['23+81=104', '104/26=4']
Exploring Operation: 97+4=101, Resulting Numbers: [101]
101,93 unequal: No Solution
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[23, 97, 81, 26], Operations: []
Exploring Operation: 23+81=104, Resulting Numbers: [97, 26, 104]
Generated Node #0,0: 93:[97, 26, 104] Operation: 23+81=104
Moving to Node #0,0
Current State: 93:[97, 26, 104], Operations: ['23+81=104']
Exploring Operation: 104/26=4, Resulting Numbers: [97, 4]
Generated Node #0,0,1: 93:[97, 4] Operation: 104/26=4
Moving to Node #0,0,1
Current State: 93:[97, 4], Operations: ['23+81=104', '104/26=4']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
81,
27,
12,
8
] | 27 | [
"81+27=108",
"12-8=4",
"108/4=27"
] | Current State: 27:[81, 27, 12, 8], Operations: []
Exploring Operation: 81+27=108, Resulting Numbers: [12, 8, 108]
Generated Node #2: [12, 8, 108] from Operation: 81+27=108
Current State: 27:[12, 8, 108], Operations: ['81+27=108']
Exploring Operation: 12-8=4, Resulting Numbers: [108, 4]
Generated Node #3: [108, 4] from Operation: 12-8=4
Current State: 27:[108, 4], Operations: ['81+27=108', '12-8=4']
Exploring Operation: 108/4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[81, 27, 12, 8], Operations: []
Exploring Operation: 81-12=69, Resulting Numbers: [27, 8, 69]
Generated Node #0,0: 27:[27, 8, 69] Operation: 81-12=69
Exploring Operation: 81-27=54, Resulting Numbers: [12, 8, 54]
Generated Node #0,1: 27:[12, 8, 54] Operation: 81-27=54
Exploring Operation: 81-8=73, Resulting Numbers: [27, 12, 73]
Generated Node #0,2: 27:[27, 12, 73] Operation: 81-8=73
Exploring Operation: 81/27=3, Resulting Numbers: [12, 8, 3]
Generated Node #0,3: 27:[12, 8, 3] Operation: 81/27=3
Moving to Node #0,3
Current State: 27:[12, 8, 3], Operations: ['81/27=3']
Exploring Operation: 12-8=4, Resulting Numbers: [3, 4]
Generated Node #0,3,0: 27:[3, 4] Operation: 12-8=4
Exploring Operation: 12/3=4, Resulting Numbers: [8, 4]
Generated Node #0,3,1: 27:[8, 4] Operation: 12/3=4
Exploring Operation: 8+3=11, Resulting Numbers: [12, 11]
Generated Node #0,3,2: 27:[12, 11] Operation: 8+3=11
Exploring Operation: 12-3=9, Resulting Numbers: [8, 9]
Generated Node #0,3,3: 27:[8, 9] Operation: 12-3=9
Moving to Node #0,1
Current State: 27:[12, 8, 54], Operations: ['81-27=54']
Exploring Operation: 54-8=46, Resulting Numbers: [12, 46]
Generated Node #0,1,0: 27:[12, 46] Operation: 54-8=46
Exploring Operation: 54-12=42, Resulting Numbers: [8, 42]
Generated Node #0,1,1: 27:[8, 42] Operation: 54-12=42
Exploring Operation: 12+8=20, Resulting Numbers: [54, 20]
Generated Node #0,1,2: 27:[54, 20] Operation: 12+8=20
Exploring Operation: 12-8=4, Resulting Numbers: [54, 4]
Generated Node #0,1,3: 27:[54, 4] Operation: 12-8=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 27:[8, 42], Operations: ['81-27=54', '54-12=42']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Exploring Operation: 8*42=336, Resulting Numbers: [336]
336,27 unequal: No Solution
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 27:[12, 46], Operations: ['81-27=54', '54-8=46']
Exploring Operation: 12*46=552, Resulting Numbers: [552]
552,27 unequal: No Solution
Exploring Operation: 12+46=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 27:[54, 4], Operations: ['81-27=54', '12-8=4']
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,27 unequal: No Solution
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 27:[54, 20], Operations: ['81-27=54', '12+8=20']
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,27 unequal: No Solution
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,27 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,27 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: 27:[27, 8, 69], Operations: ['81-12=69']
Exploring Operation: 27+8=35, Resulting Numbers: [69, 35]
Generated Node #0,0,0: 27:[69, 35] Operation: 27+8=35
Exploring Operation: 69-8=61, Resulting Numbers: [27, 61]
Generated Node #0,0,1: 27:[27, 61] Operation: 69-8=61
Exploring Operation: 27-8=19, Resulting Numbers: [69, 19]
Generated Node #0,0,2: 27:[69, 19] Operation: 27-8=19
Exploring Operation: 69-27=42, Resulting Numbers: [8, 42]
Generated Node #0,0,3: 27:[8, 42] Operation: 69-27=42
Moving to Node #0,2
Current State: 27:[27, 12, 73], Operations: ['81-8=73']
Exploring Operation: 73-27=46, Resulting Numbers: [12, 46]
Generated Node #0,2,0: 27:[12, 46] Operation: 73-27=46
Exploring Operation: 27-12=15, Resulting Numbers: [73, 15]
Generated Node #0,2,1: 27:[73, 15] Operation: 27-12=15
Exploring Operation: 27+12=39, Resulting Numbers: [73, 39]
Generated Node #0,2,2: 27:[73, 39] Operation: 27+12=39
Exploring Operation: 73-12=61, Resulting Numbers: [27, 61]
Generated Node #0,2,3: 27:[27, 61] Operation: 73-12=61
Moving to Node #0,3,0
Current State: 27:[3, 4], Operations: ['81/27=3', '12-8=4']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,27 unequal: No Solution
Moving to Node #0,3,3
Current State: 27:[8, 9], Operations: ['81/27=3', '12-3=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,27 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Moving to Node #0,3,1
Current State: 27:[8, 4], Operations: ['81/27=3', '12/3=4']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,27 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,27 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,27 unequal: No Solution
Moving to Node #0,3,2
Current State: 27:[12, 11], Operations: ['81/27=3', '8+3=11']
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,27 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,27 unequal: No Solution
Moving to Node #0,0,3
Current State: 27:[8, 42], Operations: ['81-12=69', '69-27=42']
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Exploring Operation: 8*42=336, Resulting Numbers: [336]
336,27 unequal: No Solution
Moving to Node #0,2,0
Current State: 27:[12, 46], Operations: ['81-8=73', '73-27=46']
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Exploring Operation: 12+46=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 12*46=552, Resulting Numbers: [552]
552,27 unequal: No Solution
Moving to Node #0,0,1
Current State: 27:[27, 61], Operations: ['81-12=69', '69-8=61']
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,27 unequal: No Solution
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,27 unequal: No Solution
Moving to Node #0,2,3
Current State: 27:[27, 61], Operations: ['81-8=73', '73-12=61']
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,27 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[69, 35], Operations: ['81-12=69', '27+8=35']
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Exploring Operation: 69*35=2415, Resulting Numbers: [2415]
2415,27 unequal: No Solution
Exploring Operation: 69+35=104, Resulting Numbers: [104]
104,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[69, 19], Operations: ['81-12=69', '27-8=19']
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 69+19=88, Resulting Numbers: [88]
88,27 unequal: No Solution
Exploring Operation: 69*19=1311, Resulting Numbers: [1311]
1311,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[73, 15], Operations: ['81-8=73', '27-12=15']
Exploring Operation: 73-15=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 73*15=1095, Resulting Numbers: [1095]
1095,27 unequal: No Solution
Exploring Operation: 73+15=88, Resulting Numbers: [88]
88,27 unequal: No Solution
Moving to Node #0,2,2
Current State: 27:[73, 39], Operations: ['81-8=73', '27+12=39']
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Exploring Operation: 73+39=112, Resulting Numbers: [112]
112,27 unequal: No Solution
Exploring Operation: 73*39=2847, Resulting Numbers: [2847]
2847,27 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
4,
36,
61,
97
] | 76 | [
"4+36=40",
"97-61=36",
"40+36=76"
] | Current State: 76:[4, 36, 61, 97], Operations: []
Exploring Operation: 4+36=40, Resulting Numbers: [61, 97, 40]
Generated Node #2: [61, 97, 40] from Operation: 4+36=40
Current State: 76:[61, 97, 40], Operations: ['4+36=40']
Exploring Operation: 97-61=36, Resulting Numbers: [40, 36]
Generated Node #3: [40, 36] from Operation: 97-61=36
Current State: 76:[40, 36], Operations: ['4+36=40', '97-61=36']
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[4, 36, 61, 97], Operations: []
Exploring Operation: 61-36=25, Resulting Numbers: [4, 97, 25]
Generated Node #0,0: 76:[4, 97, 25] Operation: 61-36=25
Exploring Operation: 97-61=36, Resulting Numbers: [4, 36, 36]
Generated Node #0,1: 76:[4, 36, 36] Operation: 97-61=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[4, 36, 36], Operations: ['97-61=36']
Exploring Operation: 36-36=0, Resulting Numbers: [4, 0]
Generated Node #0,1,0: 76:[4, 0] Operation: 36-36=0
Exploring Operation: 36/36=1, Resulting Numbers: [4, 1]
Generated Node #0,1,1: 76:[4, 1] Operation: 36/36=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[4, 1], Operations: ['97-61=36', '36/36=1']
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[4, 0], Operations: ['97-61=36', '36-36=0']
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[4, 97, 25], Operations: ['61-36=25']
Exploring Operation: 97-4=93, Resulting Numbers: [25, 93]
Generated Node #0,0,0: 76:[25, 93] Operation: 97-4=93
Exploring Operation: 97-25=72, Resulting Numbers: [4, 72]
Generated Node #0,0,1: 76:[4, 72] Operation: 97-25=72
Moving to Node #0,0,1
Current State: 76:[4, 72], Operations: ['61-36=25', '97-25=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[4, 36, 61, 97], Operations: []
Exploring Operation: 61-36=25, Resulting Numbers: [4, 97, 25]
Generated Node #0,0: 76:[4, 97, 25] Operation: 61-36=25
Moving to Node #0,0
Current State: 76:[4, 97, 25], Operations: ['61-36=25']
Exploring Operation: 97-25=72, Resulting Numbers: [4, 72]
Generated Node #0,0,1: 76:[4, 72] Operation: 97-25=72
Moving to Node #0,0,1
Current State: 76:[4, 72], Operations: ['61-36=25', '97-25=72']
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
5,
87,
57,
81
] | 58 | [
"87-5=82",
"81-57=24",
"82-24=58"
] | Current State: 58:[5, 87, 57, 81], Operations: []
Exploring Operation: 87-5=82, Resulting Numbers: [57, 81, 82]
Generated Node #2: [57, 81, 82] from Operation: 87-5=82
Current State: 58:[57, 81, 82], Operations: ['87-5=82']
Exploring Operation: 81-57=24, Resulting Numbers: [82, 24]
Generated Node #3: [82, 24] from Operation: 81-57=24
Current State: 58:[82, 24], Operations: ['87-5=82', '81-57=24']
Exploring Operation: 82-24=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[5, 87, 57, 81], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [5, 57, 6]
Generated Node #0,0: 58:[5, 57, 6] Operation: 87-81=6
Moving to Node #0,0
Current State: 58:[5, 57, 6], Operations: ['87-81=6']
Exploring Operation: 5*6=30, Resulting Numbers: [57, 30]
Generated Node #0,0,0: 58:[57, 30] Operation: 5*6=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[57, 30], Operations: ['87-81=6', '5*6=30']
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,58 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 |
[
53,
86,
16,
65
] | 18 | [
"16*65=1040",
"1040-86=954",
"954/53=18"
] | Current State: 18:[53, 86, 16, 65], Operations: []
Exploring Operation: 16*65=1040, Resulting Numbers: [53, 86, 1040]
Generated Node #2: [53, 86, 1040] from Operation: 16*65=1040
Current State: 18:[53, 86, 1040], Operations: ['16*65=1040']
Exploring Operation: 1040-86=954, Resulting Numbers: [53, 954]
Generated Node #3: [53, 954] from Operation: 1040-86=954
Current State: 18:[53, 954], Operations: ['16*65=1040', '1040-86=954']
Exploring Operation: 954/53=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[53, 86, 16, 65], Operations: []
Exploring Operation: 65-53=12, Resulting Numbers: [86, 16, 12]
Generated Node #0,0: 18:[86, 16, 12] Operation: 65-53=12
Exploring Operation: 86-53=33, Resulting Numbers: [16, 65, 33]
Generated Node #0,1: 18:[16, 65, 33] Operation: 86-53=33
Exploring Operation: 53-16=37, Resulting Numbers: [86, 65, 37]
Generated Node #0,2: 18:[86, 65, 37] Operation: 53-16=37
Exploring Operation: 86-65=21, Resulting Numbers: [53, 16, 21]
Generated Node #0,3: 18:[53, 16, 21] Operation: 86-65=21
Start Sub Search at level 1: Moving to Node #0,3
Current State: 18:[53, 16, 21], Operations: ['86-65=21']
Exploring Operation: 21-16=5, Resulting Numbers: [53, 5]
Generated Node #0,3,0: 18:[53, 5] Operation: 21-16=5
Exploring Operation: 53-16=37, Resulting Numbers: [21, 37]
Generated Node #0,3,1: 18:[21, 37] Operation: 53-16=37
Exploring Operation: 53-21=32, Resulting Numbers: [16, 32]
Generated Node #0,3,2: 18:[16, 32] Operation: 53-21=32
Exploring Operation: 53+16=69, Resulting Numbers: [21, 69]
Generated Node #0,3,3: 18:[21, 69] Operation: 53+16=69
Moving to Node #0,3,2
Current State: 18:[16, 32], Operations: ['86-65=21', '53-21=32']
Exploring Operation: 16*32=512, Resulting Numbers: [512]
512,18 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,18 unequal: No Solution
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Moving to Node #0,3,1
Current State: 18:[21, 37], Operations: ['86-65=21', '53-16=37']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,18 unequal: No Solution
Exploring Operation: 21+37=58, Resulting Numbers: [58]
58,18 unequal: No Solution
Exploring Operation: 21*37=777, Resulting Numbers: [777]
777,18 unequal: No Solution
Moving to Node #0,3,0
Current State: 18:[53, 5], Operations: ['86-65=21', '21-16=5']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,18 unequal: No Solution
Exploring Operation: 53*5=265, Resulting Numbers: [265]
265,18 unequal: No Solution
Moving to Node #0,3,3
Current State: 18:[21, 69], Operations: ['86-65=21', '53+16=69']
Exploring Operation: 69-21=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 21*69=1449, Resulting Numbers: [1449]
1449,18 unequal: No Solution
Exploring Operation: 21+69=90, Resulting Numbers: [90]
90,18 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
Current State: 18:[16, 65, 33], Operations: ['86-53=33']
Exploring Operation: 65-33=32, Resulting Numbers: [16, 32]
Generated Node #0,1,0: 18:[16, 32] Operation: 65-33=32
Exploring Operation: 65-16=49, Resulting Numbers: [33, 49]
Generated Node #0,1,1: 18:[33, 49] Operation: 65-16=49
Exploring Operation: 33-16=17, Resulting Numbers: [65, 17]
Generated Node #0,1,2: 18:[65, 17] Operation: 33-16=17
Exploring Operation: 16+65=81, Resulting Numbers: [33, 81]
Generated Node #0,1,3: 18:[33, 81] Operation: 16+65=81
Moving to Node #0,1,0
Current State: 18:[16, 32], Operations: ['86-53=33', '65-33=32']
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 16*32=512, Resulting Numbers: [512]
512,18 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,18 unequal: No Solution
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[33, 49], Operations: ['86-53=33', '65-16=49']
Exploring Operation: 33*49=1617, Resulting Numbers: [1617]
1617,18 unequal: No Solution
Exploring Operation: 33+49=82, Resulting Numbers: [82]
82,18 unequal: No Solution
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[65, 17], Operations: ['86-53=33', '33-16=17']
Exploring Operation: 65*17=1105, Resulting Numbers: [1105]
1105,18 unequal: No Solution
Exploring Operation: 65+17=82, Resulting Numbers: [82]
82,18 unequal: No Solution
Exploring Operation: 65-17=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Moving to Node #0,1,3
Current State: 18:[33, 81], Operations: ['86-53=33', '16+65=81']
Exploring Operation: 33*81=2673, Resulting Numbers: [2673]
2673,18 unequal: No Solution
Exploring Operation: 33+81=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[86, 16, 12], Operations: ['65-53=12']
Exploring Operation: 86-16=70, Resulting Numbers: [12, 70]
Generated Node #0,0,0: 18:[12, 70] Operation: 86-16=70
Exploring Operation: 16+12=28, Resulting Numbers: [86, 28]
Generated Node #0,0,1: 18:[86, 28] Operation: 16+12=28
Exploring Operation: 16-12=4, Resulting Numbers: [86, 4]
Generated Node #0,0,2: 18:[86, 4] Operation: 16-12=4
Exploring Operation: 86-12=74, Resulting Numbers: [16, 74]
Generated Node #0,0,3: 18:[16, 74] Operation: 86-12=74
Moving to Node #0,0,0
Current State: 18:[12, 70], Operations: ['65-53=12', '86-16=70']
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,18 unequal: No Solution
Exploring Operation: 12*70=840, Resulting Numbers: [840]
840,18 unequal: No Solution
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,18 unequal: No Solution
Moving to Node #0,0,3
Current State: 18:[16, 74], Operations: ['65-53=12', '86-12=74']
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,18 unequal: No Solution
Exploring Operation: 16*74=1184, Resulting Numbers: [1184]
1184,18 unequal: No Solution
Exploring Operation: 16+74=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[86, 4], Operations: ['65-53=12', '16-12=4']
Exploring Operation: 86*4=344, Resulting Numbers: [344]
344,18 unequal: No Solution
Exploring Operation: 86+4=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[86, 28], Operations: ['65-53=12', '16+12=28']
Exploring Operation: 86+28=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,18 unequal: No Solution
Exploring Operation: 86*28=2408, Resulting Numbers: [2408]
2408,18 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 #0,2
Current State: 18:[86, 65, 37], Operations: ['53-16=37']
Exploring Operation: 86+65=151, Resulting Numbers: [37, 151]
Generated Node #0,2,0: 18:[37, 151] Operation: 86+65=151
Exploring Operation: 86-65=21, Resulting Numbers: [37, 21]
Generated Node #0,2,1: 18:[37, 21] Operation: 86-65=21
Exploring Operation: 86-37=49, Resulting Numbers: [65, 49]
Generated Node #0,2,2: 18:[65, 49] Operation: 86-37=49
Exploring Operation: 65-37=28, Resulting Numbers: [86, 28]
Generated Node #0,2,3: 18:[86, 28] Operation: 65-37=28
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 18:[37, 21], Operations: ['53-16=37', '86-65=21']
Exploring Operation: 37*21=777, Resulting Numbers: [777]
777,18 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,18 unequal: No Solution
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,18 unequal: No Solution
No 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: 18:[65, 49], Operations: ['53-16=37', '86-37=49']
Exploring Operation: 65-49=16, Resulting Numbers: [16]
16,18 unequal: No Solution
Exploring Operation: 65*49=3185, Resulting Numbers: [3185]
3185,18 unequal: No Solution
Exploring Operation: 65+49=114, Resulting Numbers: [114]
114,18 unequal: No Solution
No 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: 18:[86, 28], Operations: ['53-16=37', '65-37=28']
Exploring Operation: 86*28=2408, Resulting Numbers: [2408]
2408,18 unequal: No Solution
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,18 unequal: No Solution
Exploring Operation: 86+28=114, Resulting Numbers: [114]
114,18 unequal: No Solution
No 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: 18:[37, 151], Operations: ['53-16=37', '86+65=151']
Exploring Operation: 151-37=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 37*151=5587, Resulting Numbers: [5587]
5587,18 unequal: No Solution
Exploring Operation: 37+151=188, Resulting Numbers: [188]
188,18 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 |
[
86,
45,
6,
46
] | 47 | [
"86+6=92",
"92/46=2",
"45+2=47"
] | Current State: 47:[86, 45, 6, 46], Operations: []
Exploring Operation: 86+6=92, Resulting Numbers: [45, 46, 92]
Generated Node #2: [45, 46, 92] from Operation: 86+6=92
Current State: 47:[45, 46, 92], Operations: ['86+6=92']
Exploring Operation: 92/46=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 92/46=2
Current State: 47:[45, 2], Operations: ['86+6=92', '92/46=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[86, 45, 6, 46], Operations: []
Exploring Operation: 86-6=80, Resulting Numbers: [45, 46, 80]
Generated Node #0,0: 47:[45, 46, 80] Operation: 86-6=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[45, 46, 80], Operations: ['86-6=80']
Exploring Operation: 80-45=35, Resulting Numbers: [46, 35]
Generated Node #0,0,0: 47:[46, 35] Operation: 80-45=35
Moving to Node #0,0,0
Current State: 47:[46, 35], Operations: ['86-6=80', '80-45=35']
Exploring Operation: 46+35=81, Resulting Numbers: [81]
81,47 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 |
[
46,
66,
42,
2
] | 34 | [
"66-42=24",
"24/2=12",
"46-12=34"
] | Current State: 34:[46, 66, 42, 2], Operations: []
Exploring Operation: 66-42=24, Resulting Numbers: [46, 2, 24]
Generated Node #2: [46, 2, 24] from Operation: 66-42=24
Current State: 34:[46, 2, 24], Operations: ['66-42=24']
Exploring Operation: 24/2=12, Resulting Numbers: [46, 12]
Generated Node #3: [46, 12] from Operation: 24/2=12
Current State: 34:[46, 12], Operations: ['66-42=24', '24/2=12']
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[46, 66, 42, 2], Operations: []
Exploring Operation: 66-42=24, Resulting Numbers: [46, 2, 24]
Generated Node #0,0: 34:[46, 2, 24] Operation: 66-42=24
Exploring Operation: 66-46=20, Resulting Numbers: [42, 2, 20]
Generated Node #0,1: 34:[42, 2, 20] Operation: 66-46=20
Moving to Node #0,1
Current State: 34:[42, 2, 20], Operations: ['66-46=20']
Exploring Operation: 42/2=21, Resulting Numbers: [20, 21]
Generated Node #0,1,0: 34:[20, 21] Operation: 42/2=21
Exploring Operation: 42-20=22, Resulting Numbers: [2, 22]
Generated Node #0,1,1: 34:[2, 22] Operation: 42-20=22
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[2, 22], Operations: ['66-46=20', '42-20=22']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,34 unequal: No Solution
No 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: 34:[20, 21], Operations: ['66-46=20', '42/2=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,34 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,34 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: 34:[46, 2, 24], Operations: ['66-42=24']
Exploring Operation: 46-24=22, Resulting Numbers: [2, 22]
Generated Node #0,0,0: 34:[2, 22] Operation: 46-24=22
Exploring Operation: 46/2=23, Resulting Numbers: [24, 23]
Generated Node #0,0,1: 34:[24, 23] Operation: 46/2=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[2, 22], Operations: ['66-42=24', '46-24=22']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,34 unequal: No Solution
No 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: 34:[24, 23], Operations: ['66-42=24', '46/2=23']
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,34 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 |
[
16,
3,
65,
90
] | 57 | [
"16+65=81",
"90+81=171",
"171/3=57"
] | Current State: 57:[16, 3, 65, 90], Operations: []
Exploring Operation: 16+65=81, Resulting Numbers: [3, 90, 81]
Generated Node #2: [3, 90, 81] from Operation: 16+65=81
Current State: 57:[3, 90, 81], Operations: ['16+65=81']
Exploring Operation: 90+81=171, Resulting Numbers: [3, 171]
Generated Node #3: [3, 171] from Operation: 90+81=171
Current State: 57:[3, 171], Operations: ['16+65=81', '90+81=171']
Exploring Operation: 171/3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[16, 3, 65, 90], Operations: []
Exploring Operation: 90-65=25, Resulting Numbers: [16, 3, 25]
Generated Node #0,0: 57:[16, 3, 25] Operation: 90-65=25
Exploring Operation: 90/3=30, Resulting Numbers: [16, 65, 30]
Generated Node #0,1: 57:[16, 65, 30] Operation: 90/3=30
Moving to Node #0,0
Current State: 57:[16, 3, 25], Operations: ['90-65=25']
Exploring Operation: 16+3=19, Resulting Numbers: [25, 19]
Generated Node #0,0,0: 57:[25, 19] Operation: 16+3=19
Exploring Operation: 25-16=9, Resulting Numbers: [3, 9]
Generated Node #0,0,1: 57:[3, 9] Operation: 25-16=9
Moving to Node #0,1
Current State: 57:[16, 65, 30], Operations: ['90/3=30']
Exploring Operation: 30-16=14, Resulting Numbers: [65, 14]
Generated Node #0,1,0: 57:[65, 14] Operation: 30-16=14
Exploring Operation: 65-16=49, Resulting Numbers: [30, 49]
Generated Node #0,1,1: 57:[30, 49] Operation: 65-16=49
Moving to Node #0,0,0
Current State: 57:[25, 19], Operations: ['90-65=25', '16+3=19']
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 25+19=44, Resulting Numbers: [44]
44,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[3, 9], Operations: ['90-65=25', '25-16=9']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Moving to Node #0,1,0
Current State: 57:[65, 14], Operations: ['90/3=30', '30-16=14']
Exploring Operation: 65+14=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[30, 49], Operations: ['90/3=30', '65-16=49']
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,57 unequal: No Solution
Exploring Operation: 30+49=79, Resulting Numbers: [79]
79,57 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
13,
17,
27,
38
] | 35 | [
"13+17=30",
"27+38=65",
"65-30=35"
] | Current State: 35:[13, 17, 27, 38], Operations: []
Exploring Operation: 13+17=30, Resulting Numbers: [27, 38, 30]
Generated Node #2: [27, 38, 30] from Operation: 13+17=30
Current State: 35:[27, 38, 30], Operations: ['13+17=30']
Exploring Operation: 27+38=65, Resulting Numbers: [30, 65]
Generated Node #3: [30, 65] from Operation: 27+38=65
Current State: 35:[30, 65], Operations: ['13+17=30', '27+38=65']
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[13, 17, 27, 38], Operations: []
Exploring Operation: 13+27=40, Resulting Numbers: [17, 38, 40]
Generated Node #0,0: 35:[17, 38, 40] Operation: 13+27=40
Exploring Operation: 17-13=4, Resulting Numbers: [27, 38, 4]
Generated Node #0,1: 35:[27, 38, 4] Operation: 17-13=4
Exploring Operation: 27-17=10, Resulting Numbers: [13, 38, 10]
Generated Node #0,2: 35:[13, 38, 10] Operation: 27-17=10
Exploring Operation: 13+17=30, Resulting Numbers: [27, 38, 30]
Generated Node #0,3: 35:[27, 38, 30] Operation: 13+17=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[27, 38, 4], Operations: ['17-13=4']
Exploring Operation: 38-4=34, Resulting Numbers: [27, 34]
Generated Node #0,1,0: 35:[27, 34] Operation: 38-4=34
Exploring Operation: 27-4=23, Resulting Numbers: [38, 23]
Generated Node #0,1,1: 35:[38, 23] Operation: 27-4=23
Exploring Operation: 27+4=31, Resulting Numbers: [38, 31]
Generated Node #0,1,2: 35:[38, 31] Operation: 27+4=31
Exploring Operation: 38-27=11, Resulting Numbers: [4, 11]
Generated Node #0,1,3: 35:[4, 11] Operation: 38-27=11
Moving to Node #0,1,3
Current State: 35:[4, 11], Operations: ['17-13=4', '38-27=11']
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,35 unequal: No Solution
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[38, 31], Operations: ['17-13=4', '27+4=31']
Exploring Operation: 38*31=1178, Resulting Numbers: [1178]
1178,35 unequal: No Solution
Exploring Operation: 38+31=69, Resulting Numbers: [69]
69,35 unequal: No Solution
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Moving to Node #0,1,0
Current State: 35:[27, 34], Operations: ['17-13=4', '38-4=34']
Exploring Operation: 27+34=61, Resulting Numbers: [61]
61,35 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 27*34=918, Resulting Numbers: [918]
918,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[38, 23], Operations: ['17-13=4', '27-4=23']
Exploring Operation: 38+23=61, Resulting Numbers: [61]
61,35 unequal: No Solution
Exploring Operation: 38*23=874, Resulting Numbers: [874]
874,35 unequal: No Solution
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,35 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:[13, 38, 10], Operations: ['27-17=10']
Exploring Operation: 38-10=28, Resulting Numbers: [13, 28]
Generated Node #0,2,0: 35:[13, 28] Operation: 38-10=28
Exploring Operation: 13-10=3, Resulting Numbers: [38, 3]
Generated Node #0,2,1: 35:[38, 3] Operation: 13-10=3
Exploring Operation: 38-13=25, Resulting Numbers: [10, 25]
Generated Node #0,2,2: 35:[10, 25] Operation: 38-13=25
Exploring Operation: 13+10=23, Resulting Numbers: [38, 23]
Generated Node #0,2,3: 35:[38, 23] Operation: 13+10=23
Moving to Node #0,2,1
Current State: 35:[38, 3], Operations: ['27-17=10', '13-10=3']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[13, 17, 27, 38], Operations: []
Exploring Operation: 27-17=10, Resulting Numbers: [13, 38, 10]
Generated Node #0,2: 35:[13, 38, 10] Operation: 27-17=10
Moving to Node #0,2
Current State: 35:[13, 38, 10], Operations: ['27-17=10']
Exploring Operation: 13-10=3, Resulting Numbers: [38, 3]
Generated Node #0,2,1: 35:[38, 3] Operation: 13-10=3
Moving to Node #0,2,1
Current State: 35:[38, 3], Operations: ['27-17=10', '13-10=3']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | mult_heuristic |
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