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 |
|---|---|---|---|---|---|---|---|---|
[
15,
75,
54,
94
] | 20 | [
"75-15=60",
"94-54=40",
"60-40=20"
] | Current State: 20:[15, 75, 54, 94], Operations: []
Exploring Operation: 75-15=60, Resulting Numbers: [54, 94, 60]
Generated Node #2: [54, 94, 60] from Operation: 75-15=60
Current State: 20:[54, 94, 60], Operations: ['75-15=60']
Exploring Operation: 94-54=40, Resulting Numbers: [60, 40]
Generated Node #3: [60, 40] from Operation: 94-54=40
Current State: 20:[60, 40], Operations: ['75-15=60', '94-54=40']
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[15, 75, 54, 94], Operations: []
Exploring Operation: 94-75=19, Resulting Numbers: [15, 54, 19]
Generated Node #0,0: 20:[15, 54, 19] Operation: 94-75=19
Exploring Operation: 75-54=21, Resulting Numbers: [15, 94, 21]
Generated Node #0,1: 20:[15, 94, 21] Operation: 75-54=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[15, 54, 19], Operations: ['94-75=19']
Exploring Operation: 54-19=35, Resulting Numbers: [15, 35]
Generated Node #0,0,0: 20:[15, 35] Operation: 54-19=35
Exploring Operation: 54-15=39, Resulting Numbers: [19, 39]
Generated Node #0,0,1: 20:[19, 39] Operation: 54-15=39
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[15, 35], Operations: ['94-75=19', '54-19=35']
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,20 unequal: No Solution
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[15, 75, 54, 94], Operations: []
Exploring Operation: 94-75=19, Resulting Numbers: [15, 54, 19]
Generated Node #0,0: 20:[15, 54, 19] Operation: 94-75=19
Moving to Node #0,0
Current State: 20:[15, 54, 19], Operations: ['94-75=19']
Exploring Operation: 54-19=35, Resulting Numbers: [15, 35]
Generated Node #0,0,0: 20:[15, 35] Operation: 54-19=35
Moving to Node #0,0,0
Current State: 20:[15, 35], Operations: ['94-75=19', '54-19=35']
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
97,
82,
81,
41
] | 18 | [
"97-81=16",
"82/41=2",
"16+2=18"
] | Current State: 18:[97, 82, 81, 41], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [82, 41, 16]
Generated Node #2: [82, 41, 16] from Operation: 97-81=16
Current State: 18:[82, 41, 16], Operations: ['97-81=16']
Exploring Operation: 82/41=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 82/41=2
Current State: 18:[16, 2], Operations: ['97-81=16', '82/41=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[97, 82, 81, 41], Operations: []
Exploring Operation: 97-82=15, Resulting Numbers: [81, 41, 15]
Generated Node #0,0: 18:[81, 41, 15] Operation: 97-82=15
Exploring Operation: 97-81=16, Resulting Numbers: [82, 41, 16]
Generated Node #0,1: 18:[82, 41, 16] Operation: 97-81=16
Exploring Operation: 82-81=1, Resulting Numbers: [97, 41, 1]
Generated Node #0,2: 18:[97, 41, 1] Operation: 82-81=1
Moving to Node #0,0
Current State: 18:[81, 41, 15], Operations: ['97-82=15']
Exploring Operation: 81-15=66, Resulting Numbers: [41, 66]
Generated Node #0,0,0: 18:[41, 66] Operation: 81-15=66
Exploring Operation: 41-15=26, Resulting Numbers: [81, 26]
Generated Node #0,0,1: 18:[81, 26] Operation: 41-15=26
Exploring Operation: 81-41=40, Resulting Numbers: [15, 40]
Generated Node #0,0,2: 18:[15, 40] Operation: 81-41=40
Moving to Node #0,1
Current State: 18:[82, 41, 16], Operations: ['97-81=16']
Exploring Operation: 82-41=41, Resulting Numbers: [16, 41]
Generated Node #0,1,0: 18:[16, 41] Operation: 82-41=41
Exploring Operation: 82/41=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 18:[16, 2] Operation: 82/41=2
Exploring Operation: 82-16=66, Resulting Numbers: [41, 66]
Generated Node #0,1,2: 18:[41, 66] Operation: 82-16=66
Moving to Node #0,2
Current State: 18:[97, 41, 1], Operations: ['82-81=1']
Exploring Operation: 97-1=96, Resulting Numbers: [41, 96]
Generated Node #0,2,0: 18:[41, 96] Operation: 97-1=96
Exploring Operation: 41-1=40, Resulting Numbers: [97, 40]
Generated Node #0,2,1: 18:[97, 40] Operation: 41-1=40
Exploring Operation: 97-41=56, Resulting Numbers: [1, 56]
Generated Node #0,2,2: 18:[1, 56] Operation: 97-41=56
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[1, 56], Operations: ['82-81=1', '97-41=56']
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,18 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,18 unequal: No Solution
Exploring Operation: 1*56=56, Resulting Numbers: [56]
56,18 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 #0,2,0
Current State: 18:[41, 96], Operations: ['82-81=1', '97-1=96']
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,18 unequal: No Solution
Exploring Operation: 41*96=3936, Resulting Numbers: [3936]
3936,18 unequal: No Solution
Exploring Operation: 41+96=137, Resulting Numbers: [137]
137,18 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 #0,2,1
Current State: 18:[97, 40], Operations: ['82-81=1', '41-1=40']
Exploring Operation: 97-40=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Exploring Operation: 97*40=3880, Resulting Numbers: [3880]
3880,18 unequal: No Solution
Exploring Operation: 97+40=137, Resulting Numbers: [137]
137,18 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: 18:[16, 2], Operations: ['97-81=16', '82/41=2']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[97, 82, 81, 41], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [82, 41, 16]
Generated Node #0,1: 18:[82, 41, 16] Operation: 97-81=16
Moving to Node #0,1
Current State: 18:[82, 41, 16], Operations: ['97-81=16']
Exploring Operation: 82/41=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 18:[16, 2] Operation: 82/41=2
Moving to Node #0,1,1
Current State: 18:[16, 2], Operations: ['97-81=16', '82/41=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.975694 | hs_3 | sum_heuristic |
[
6,
12,
23,
32
] | 78 | [
"12/6=2",
"23*2=46",
"32+46=78"
] | Current State: 78:[6, 12, 23, 32], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [23, 32, 2]
Generated Node #2: [23, 32, 2] from Operation: 12/6=2
Current State: 78:[23, 32, 2], Operations: ['12/6=2']
Exploring Operation: 23*2=46, Resulting Numbers: [32, 46]
Generated Node #3: [32, 46] from Operation: 23*2=46
Current State: 78:[32, 46], Operations: ['12/6=2', '23*2=46']
Exploring Operation: 32+46=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[6, 12, 23, 32], Operations: []
Exploring Operation: 32-6=26, Resulting Numbers: [12, 23, 26]
Generated Node #0,0: 78:[12, 23, 26] Operation: 32-6=26
Moving to Node #0,0
Current State: 78:[12, 23, 26], Operations: ['32-6=26']
Exploring Operation: 26-23=3, Resulting Numbers: [12, 3]
Generated Node #0,0,0: 78:[12, 3] Operation: 26-23=3
Moving to Node #0,0,0
Current State: 78:[12, 3], Operations: ['32-6=26', '26-23=3']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,78 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
38,
61,
96,
10
] | 30 | [
"38+61=99",
"99-96=3",
"10*3=30"
] | Current State: 30:[38, 61, 96, 10], Operations: []
Exploring Operation: 38+61=99, Resulting Numbers: [96, 10, 99]
Generated Node #2: [96, 10, 99] from Operation: 38+61=99
Current State: 30:[96, 10, 99], Operations: ['38+61=99']
Exploring Operation: 99-96=3, Resulting Numbers: [10, 3]
Generated Node #3: [10, 3] from Operation: 99-96=3
Current State: 30:[10, 3], Operations: ['38+61=99', '99-96=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[38, 61, 96, 10], Operations: []
Exploring Operation: 96-61=35, Resulting Numbers: [38, 10, 35]
Generated Node #0,0: 30:[38, 10, 35] Operation: 96-61=35
Moving to Node #0,0
Current State: 30:[38, 10, 35], Operations: ['96-61=35']
Exploring Operation: 38-35=3, Resulting Numbers: [10, 3]
Generated Node #0,0,0: 30:[10, 3] Operation: 38-35=3
Moving to Node #0,0,0
Current State: 30:[10, 3], Operations: ['96-61=35', '38-35=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[38, 61, 96, 10], Operations: []
Exploring Operation: 96-61=35, Resulting Numbers: [38, 10, 35]
Generated Node #0,0: 30:[38, 10, 35] Operation: 96-61=35
Moving to Node #0,0
Current State: 30:[38, 10, 35], Operations: ['96-61=35']
Exploring Operation: 38-35=3, Resulting Numbers: [10, 3]
Generated Node #0,0,0: 30:[10, 3] Operation: 38-35=3
Moving to Node #0,0,0
Current State: 30:[10, 3], Operations: ['96-61=35', '38-35=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
36,
26,
92,
53
] | 83 | [
"36+26=62",
"92+53=145",
"145-62=83"
] | Current State: 83:[36, 26, 92, 53], Operations: []
Exploring Operation: 36+26=62, Resulting Numbers: [92, 53, 62]
Generated Node #2: [92, 53, 62] from Operation: 36+26=62
Current State: 83:[92, 53, 62], Operations: ['36+26=62']
Exploring Operation: 92+53=145, Resulting Numbers: [62, 145]
Generated Node #3: [62, 145] from Operation: 92+53=145
Current State: 83:[62, 145], Operations: ['36+26=62', '92+53=145']
Exploring Operation: 145-62=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[36, 26, 92, 53], Operations: []
Exploring Operation: 36+26=62, Resulting Numbers: [92, 53, 62]
Generated Node #0,0: 83:[92, 53, 62] Operation: 36+26=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[92, 53, 62], Operations: ['36+26=62']
Exploring Operation: 53+62=115, Resulting Numbers: [92, 115]
Generated Node #0,0,0: 83:[92, 115] Operation: 53+62=115
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[92, 115], Operations: ['36+26=62', '53+62=115']
Exploring Operation: 115-92=23, Resulting Numbers: [23]
23,83 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 |
[
24,
6,
26,
94
] | 10 | [
"24/6=4",
"26*4=104",
"104-94=10"
] | Current State: 10:[24, 6, 26, 94], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [26, 94, 4]
Generated Node #2: [26, 94, 4] from Operation: 24/6=4
Current State: 10:[26, 94, 4], Operations: ['24/6=4']
Exploring Operation: 26*4=104, Resulting Numbers: [94, 104]
Generated Node #3: [94, 104] from Operation: 26*4=104
Current State: 10:[94, 104], Operations: ['24/6=4', '26*4=104']
Exploring Operation: 104-94=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[24, 6, 26, 94], Operations: []
Exploring Operation: 94-24=70, Resulting Numbers: [6, 26, 70]
Generated Node #0,0: 10:[6, 26, 70] Operation: 94-24=70
Exploring Operation: 94-26=68, Resulting Numbers: [24, 6, 68]
Generated Node #0,1: 10:[24, 6, 68] Operation: 94-26=68
Exploring Operation: 26-24=2, Resulting Numbers: [6, 94, 2]
Generated Node #0,2: 10:[6, 94, 2] Operation: 26-24=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[24, 6, 68], Operations: ['94-26=68']
Exploring Operation: 24-6=18, Resulting Numbers: [68, 18]
Generated Node #0,1,0: 10:[68, 18] Operation: 24-6=18
Exploring Operation: 24/6=4, Resulting Numbers: [68, 4]
Generated Node #0,1,1: 10:[68, 4] Operation: 24/6=4
Exploring Operation: 68-24=44, Resulting Numbers: [6, 44]
Generated Node #0,1,2: 10:[6, 44] Operation: 68-24=44
Moving to Node #0,1,2
Current State: 10:[6, 44], Operations: ['94-26=68', '68-24=44']
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,10 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,10 unequal: No Solution
Exploring Operation: 6*44=264, Resulting Numbers: [264]
264,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[68, 4], Operations: ['94-26=68', '24/6=4']
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,10 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,10 unequal: No Solution
Moving to Node #0,1,0
Current State: 10:[68, 18], Operations: ['94-26=68', '24-6=18']
Exploring Operation: 68+18=86, Resulting Numbers: [86]
86,10 unequal: No Solution
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,10 unequal: No Solution
Exploring Operation: 68*18=1224, Resulting Numbers: [1224]
1224,10 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 #0,0
Current State: 10:[6, 26, 70], Operations: ['94-24=70']
Exploring Operation: 70-6=64, Resulting Numbers: [26, 64]
Generated Node #0,0,0: 10:[26, 64] Operation: 70-6=64
Exploring Operation: 26-6=20, Resulting Numbers: [70, 20]
Generated Node #0,0,1: 10:[70, 20] Operation: 26-6=20
Exploring Operation: 70-26=44, Resulting Numbers: [6, 44]
Generated Node #0,0,2: 10:[6, 44] Operation: 70-26=44
Moving to Node #0,0,2
Current State: 10:[6, 44], Operations: ['94-24=70', '70-26=44']
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,10 unequal: No Solution
Exploring Operation: 6*44=264, Resulting Numbers: [264]
264,10 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[26, 64], Operations: ['94-24=70', '70-6=64']
Exploring Operation: 26+64=90, Resulting Numbers: [90]
90,10 unequal: No Solution
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,10 unequal: No Solution
Exploring Operation: 26*64=1664, Resulting Numbers: [1664]
1664,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[70, 20], Operations: ['94-24=70', '26-6=20']
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,10 unequal: No Solution
Exploring Operation: 70*20=1400, Resulting Numbers: [1400]
1400,10 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,10 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 #0,2
Current State: 10:[6, 94, 2], Operations: ['26-24=2']
Exploring Operation: 94/2=47, Resulting Numbers: [6, 47]
Generated Node #0,2,0: 10:[6, 47] Operation: 94/2=47
Exploring Operation: 94-6=88, Resulting Numbers: [2, 88]
Generated Node #0,2,1: 10:[2, 88] Operation: 94-6=88
Exploring Operation: 94-2=92, Resulting Numbers: [6, 92]
Generated Node #0,2,2: 10:[6, 92] Operation: 94-2=92
Moving to Node #0,2,0
Current State: 10:[6, 47], Operations: ['26-24=2', '94/2=47']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,10 unequal: No Solution
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,10 unequal: No Solution
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[2, 88], Operations: ['26-24=2', '94-6=88']
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,10 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,10 unequal: No Solution
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[6, 92], Operations: ['26-24=2', '94-2=92']
Exploring Operation: 6*92=552, Resulting Numbers: [552]
552,10 unequal: No Solution
Exploring Operation: 6+92=98, Resulting Numbers: [98]
98,10 unequal: No Solution
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,10 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 |
[
40,
3,
85,
44
] | 57 | [
"40+44=84",
"84/3=28",
"85-28=57"
] | Current State: 57:[40, 3, 85, 44], Operations: []
Exploring Operation: 40+44=84, Resulting Numbers: [3, 85, 84]
Generated Node #2: [3, 85, 84] from Operation: 40+44=84
Current State: 57:[3, 85, 84], Operations: ['40+44=84']
Exploring Operation: 84/3=28, Resulting Numbers: [85, 28]
Generated Node #3: [85, 28] from Operation: 84/3=28
Current State: 57:[85, 28], Operations: ['40+44=84', '84/3=28']
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[40, 3, 85, 44], Operations: []
Exploring Operation: 85-44=41, Resulting Numbers: [40, 3, 41]
Generated Node #0,0: 57:[40, 3, 41] Operation: 85-44=41
Exploring Operation: 40+3=43, Resulting Numbers: [85, 44, 43]
Generated Node #0,1: 57:[85, 44, 43] Operation: 40+3=43
Exploring Operation: 40+44=84, Resulting Numbers: [3, 85, 84]
Generated Node #0,2: 57:[3, 85, 84] Operation: 40+44=84
Exploring Operation: 44-40=4, Resulting Numbers: [3, 85, 4]
Generated Node #0,3: 57:[3, 85, 4] Operation: 44-40=4
Exploring Operation: 85-40=45, Resulting Numbers: [3, 44, 45]
Generated Node #0,4: 57:[3, 44, 45] Operation: 85-40=45
Start Sub Search at level 1: Moving to Node #0,4
Current State: 57:[3, 44, 45], Operations: ['85-40=45']
Exploring Operation: 44-3=41, Resulting Numbers: [45, 41]
Generated Node #0,4,0: 57:[45, 41] Operation: 44-3=41
Exploring Operation: 3+45=48, Resulting Numbers: [44, 48]
Generated Node #0,4,1: 57:[44, 48] Operation: 3+45=48
Exploring Operation: 45/3=15, Resulting Numbers: [44, 15]
Generated Node #0,4,2: 57:[44, 15] Operation: 45/3=15
Exploring Operation: 3+44=47, Resulting Numbers: [45, 47]
Generated Node #0,4,3: 57:[45, 47] Operation: 3+44=47
Exploring Operation: 45-44=1, Resulting Numbers: [3, 1]
Generated Node #0,4,4: 57:[3, 1] Operation: 45-44=1
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 57:[3, 1], Operations: ['85-40=45', '45-44=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,57 unequal: No Solution
No 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: 57:[44, 15], Operations: ['85-40=45', '45/3=15']
Exploring Operation: 44*15=660, Resulting Numbers: [660]
660,57 unequal: No Solution
Exploring Operation: 44+15=59, Resulting Numbers: [59]
59,57 unequal: No Solution
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,57 unequal: No Solution
No 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: 57:[44, 48], Operations: ['85-40=45', '3+45=48']
Exploring Operation: 48-44=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 44+48=92, Resulting Numbers: [92]
92,57 unequal: No Solution
Exploring Operation: 44*48=2112, Resulting Numbers: [2112]
2112,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 57:[45, 47], Operations: ['85-40=45', '3+44=47']
Exploring Operation: 45+47=92, Resulting Numbers: [92]
92,57 unequal: No Solution
Exploring Operation: 47-45=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 45*47=2115, Resulting Numbers: [2115]
2115,57 unequal: No Solution
No 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: 57:[45, 41], Operations: ['85-40=45', '44-3=41']
Exploring Operation: 45*41=1845, Resulting Numbers: [1845]
1845,57 unequal: No Solution
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 45+41=86, Resulting Numbers: [86]
86,57 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: 57:[3, 85, 4], Operations: ['44-40=4']
Exploring Operation: 85-3=82, Resulting Numbers: [4, 82]
Generated Node #0,3,0: 57:[4, 82] Operation: 85-3=82
Exploring Operation: 85-4=81, Resulting Numbers: [3, 81]
Generated Node #0,3,1: 57:[3, 81] Operation: 85-4=81
Exploring Operation: 3+85=88, Resulting Numbers: [4, 88]
Generated Node #0,3,2: 57:[4, 88] Operation: 3+85=88
Exploring Operation: 3+4=7, Resulting Numbers: [85, 7]
Generated Node #0,3,3: 57:[85, 7] Operation: 3+4=7
Exploring Operation: 4-3=1, Resulting Numbers: [85, 1]
Generated Node #0,3,4: 57:[85, 1] Operation: 4-3=1
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 57:[3, 81], Operations: ['44-40=4', '85-4=81']
Exploring Operation: 3*81=243, Resulting Numbers: [243]
243,57 unequal: No Solution
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,57 unequal: No Solution
Exploring Operation: 3+81=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,57 unequal: No Solution
No 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: 57:[4, 82], Operations: ['44-40=4', '85-3=82']
Exploring Operation: 4*82=328, Resulting Numbers: [328]
328,57 unequal: No Solution
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,57 unequal: No Solution
Exploring Operation: 4+82=86, Resulting Numbers: [86]
86,57 unequal: No Solution
No 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: 57:[85, 1], Operations: ['44-40=4', '4-3=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,57 unequal: No Solution
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,57 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,57 unequal: No Solution
No 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: 57:[4, 88], Operations: ['44-40=4', '3+85=88']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,57 unequal: No Solution
Exploring Operation: 4*88=352, Resulting Numbers: [352]
352,57 unequal: No Solution
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,57 unequal: No Solution
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,57 unequal: No Solution
No 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: 57:[85, 7], Operations: ['44-40=4', '3+4=7']
Exploring Operation: 85+7=92, Resulting Numbers: [92]
92,57 unequal: No Solution
Exploring Operation: 85-7=78, Resulting Numbers: [78]
78,57 unequal: No Solution
Exploring Operation: 85*7=595, Resulting Numbers: [595]
595,57 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: 57:[40, 3, 41], Operations: ['85-44=41']
Exploring Operation: 40+3=43, Resulting Numbers: [41, 43]
Generated Node #0,0,0: 57:[41, 43] Operation: 40+3=43
Exploring Operation: 40+41=81, Resulting Numbers: [3, 81]
Generated Node #0,0,1: 57:[3, 81] Operation: 40+41=81
Exploring Operation: 41-40=1, Resulting Numbers: [3, 1]
Generated Node #0,0,2: 57:[3, 1] Operation: 41-40=1
Exploring Operation: 3+41=44, Resulting Numbers: [40, 44]
Generated Node #0,0,3: 57:[40, 44] Operation: 3+41=44
Exploring Operation: 40-3=37, Resulting Numbers: [41, 37]
Generated Node #0,0,4: 57:[41, 37] Operation: 40-3=37
Moving to Node #0,0,2
Current State: 57:[3, 1], Operations: ['85-44=41', '41-40=1']
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[3, 81], Operations: ['85-44=41', '40+41=81']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 3*81=243, Resulting Numbers: [243]
243,57 unequal: No Solution
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,57 unequal: No Solution
Exploring Operation: 3+81=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[41, 43], Operations: ['85-44=41', '40+3=43']
Exploring Operation: 41+43=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Exploring Operation: 43-41=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 41*43=1763, Resulting Numbers: [1763]
1763,57 unequal: No Solution
Moving to Node #0,0,3
Current State: 57:[40, 44], Operations: ['85-44=41', '3+41=44']
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 40*44=1760, Resulting Numbers: [1760]
1760,57 unequal: No Solution
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Moving to Node #0,0,4
Current State: 57:[41, 37], Operations: ['85-44=41', '40-3=37']
Exploring Operation: 41+37=78, Resulting Numbers: [78]
78,57 unequal: No Solution
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 41*37=1517, Resulting Numbers: [1517]
1517,57 unequal: No Solution
No 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: 57:[85, 44, 43], Operations: ['40+3=43']
Exploring Operation: 85+43=128, Resulting Numbers: [44, 128]
Generated Node #0,1,0: 57:[44, 128] Operation: 85+43=128
Exploring Operation: 85-44=41, Resulting Numbers: [43, 41]
Generated Node #0,1,1: 57:[43, 41] Operation: 85-44=41
Exploring Operation: 44+43=87, Resulting Numbers: [85, 87]
Generated Node #0,1,2: 57:[85, 87] Operation: 44+43=87
Exploring Operation: 85-43=42, Resulting Numbers: [44, 42]
Generated Node #0,1,3: 57:[44, 42] Operation: 85-43=42
Exploring Operation: 44-43=1, Resulting Numbers: [85, 1]
Generated Node #0,1,4: 57:[85, 1] Operation: 44-43=1
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 57:[44, 42], Operations: ['40+3=43', '85-43=42']
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,57 unequal: No Solution
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 44*42=1848, Resulting Numbers: [1848]
1848,57 unequal: No Solution
No 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: 57:[43, 41], Operations: ['40+3=43', '85-44=41']
Exploring Operation: 43+41=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Exploring Operation: 43*41=1763, Resulting Numbers: [1763]
1763,57 unequal: No Solution
Exploring Operation: 43-41=2, Resulting Numbers: [2]
2,57 unequal: No Solution
No 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: 57:[85, 1], Operations: ['40+3=43', '44-43=1']
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,57 unequal: No Solution
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,57 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,57 unequal: No Solution
No 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: 57:[85, 87], Operations: ['40+3=43', '44+43=87']
Exploring Operation: 85+87=172, Resulting Numbers: [172]
172,57 unequal: No Solution
Exploring Operation: 87-85=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 85*87=7395, Resulting Numbers: [7395]
7395,57 unequal: No Solution
No 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: 57:[44, 128], Operations: ['40+3=43', '85+43=128']
Exploring Operation: 44+128=172, Resulting Numbers: [172]
172,57 unequal: No Solution
Exploring Operation: 128-44=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Exploring Operation: 44*128=5632, Resulting Numbers: [5632]
5632,57 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: 57:[3, 85, 84], Operations: ['40+44=84']
Exploring Operation: 85-3=82, Resulting Numbers: [84, 82]
Generated Node #0,2,0: 57:[84, 82] Operation: 85-3=82
Exploring Operation: 84-3=81, Resulting Numbers: [85, 81]
Generated Node #0,2,1: 57:[85, 81] Operation: 84-3=81
Exploring Operation: 3+85=88, Resulting Numbers: [84, 88]
Generated Node #0,2,2: 57:[84, 88] Operation: 3+85=88
Exploring Operation: 85-84=1, Resulting Numbers: [3, 1]
Generated Node #0,2,3: 57:[3, 1] Operation: 85-84=1
Exploring Operation: 84/3=28, Resulting Numbers: [85, 28]
Generated Node #0,2,4: 57:[85, 28] Operation: 84/3=28
Moving to Node #0,2,3
Current State: 57:[3, 1], Operations: ['40+44=84', '85-84=1']
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Moving to Node #0,2,4
Current State: 57:[85, 28], Operations: ['40+44=84', '84/3=28']
Exploring Operation: 85*28=2380, Resulting Numbers: [2380]
2380,57 unequal: No Solution
Exploring Operation: 85+28=113, Resulting Numbers: [113]
113,57 unequal: No Solution
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[40, 3, 85, 44], Operations: []
Exploring Operation: 40+44=84, Resulting Numbers: [3, 85, 84]
Generated Node #0,2: 57:[3, 85, 84] Operation: 40+44=84
Moving to Node #0,2
Current State: 57:[3, 85, 84], Operations: ['40+44=84']
Exploring Operation: 84/3=28, Resulting Numbers: [85, 28]
Generated Node #0,2,4: 57:[85, 28] Operation: 84/3=28
Moving to Node #0,2,4
Current State: 57:[85, 28], Operations: ['40+44=84', '84/3=28']
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.90625 | hs_5 | sum_heuristic |
[
15,
51,
61,
18
] | 30 | [
"18-15=3",
"61-51=10",
"3*10=30"
] | Current State: 30:[15, 51, 61, 18], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [51, 61, 3]
Generated Node #2: [51, 61, 3] from Operation: 18-15=3
Current State: 30:[51, 61, 3], Operations: ['18-15=3']
Exploring Operation: 61-51=10, Resulting Numbers: [3, 10]
Generated Node #3: [3, 10] from Operation: 61-51=10
Current State: 30:[3, 10], Operations: ['18-15=3', '61-51=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[15, 51, 61, 18], Operations: []
Exploring Operation: 61-51=10, Resulting Numbers: [15, 18, 10]
Generated Node #0,0: 30:[15, 18, 10] Operation: 61-51=10
Moving to Node #0,0
Current State: 30:[15, 18, 10], Operations: ['61-51=10']
Exploring Operation: 18-15=3, Resulting Numbers: [10, 3]
Generated Node #0,0,0: 30:[10, 3] Operation: 18-15=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[10, 3], Operations: ['61-51=10', '18-15=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[15, 51, 61, 18], Operations: []
Exploring Operation: 61-51=10, Resulting Numbers: [15, 18, 10]
Generated Node #0,0: 30:[15, 18, 10] Operation: 61-51=10
Moving to Node #0,0
Current State: 30:[15, 18, 10], Operations: ['61-51=10']
Exploring Operation: 18-15=3, Resulting Numbers: [10, 3]
Generated Node #0,0,0: 30:[10, 3] Operation: 18-15=3
Moving to Node #0,0,0
Current State: 30:[10, 3], Operations: ['61-51=10', '18-15=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
93,
86,
58,
91
] | 26 | [
"93-86=7",
"91-58=33",
"33-7=26"
] | Current State: 26:[93, 86, 58, 91], Operations: []
Exploring Operation: 93-86=7, Resulting Numbers: [58, 91, 7]
Generated Node #2: [58, 91, 7] from Operation: 93-86=7
Current State: 26:[58, 91, 7], Operations: ['93-86=7']
Exploring Operation: 91-58=33, Resulting Numbers: [7, 33]
Generated Node #3: [7, 33] from Operation: 91-58=33
Current State: 26:[7, 33], Operations: ['93-86=7', '91-58=33']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[93, 86, 58, 91], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [86, 58, 2]
Generated Node #0,0: 26:[86, 58, 2] Operation: 93-91=2
Moving to Node #0,0
Current State: 26:[86, 58, 2], Operations: ['93-91=2']
Exploring Operation: 86-58=28, Resulting Numbers: [2, 28]
Generated Node #0,0,0: 26:[2, 28] Operation: 86-58=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[2, 28], Operations: ['93-91=2', '86-58=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[93, 86, 58, 91], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [86, 58, 2]
Generated Node #0,0: 26:[86, 58, 2] Operation: 93-91=2
Moving to Node #0,0
Current State: 26:[86, 58, 2], Operations: ['93-91=2']
Exploring Operation: 86-58=28, Resulting Numbers: [2, 28]
Generated Node #0,0,0: 26:[2, 28] Operation: 86-58=28
Moving to Node #0,0,0
Current State: 26:[2, 28], Operations: ['93-91=2', '86-58=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
17,
30,
56,
28
] | 43 | [
"30*56=1680",
"1680/28=60",
"60-17=43"
] | Current State: 43:[17, 30, 56, 28], Operations: []
Exploring Operation: 30*56=1680, Resulting Numbers: [17, 28, 1680]
Generated Node #2: [17, 28, 1680] from Operation: 30*56=1680
Current State: 43:[17, 28, 1680], Operations: ['30*56=1680']
Exploring Operation: 1680/28=60, Resulting Numbers: [17, 60]
Generated Node #3: [17, 60] from Operation: 1680/28=60
Current State: 43:[17, 60], Operations: ['30*56=1680', '1680/28=60']
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[17, 30, 56, 28], Operations: []
Exploring Operation: 17+30=47, Resulting Numbers: [56, 28, 47]
Generated Node #0,0: 43:[56, 28, 47] Operation: 17+30=47
Exploring Operation: 17+28=45, Resulting Numbers: [30, 56, 45]
Generated Node #0,1: 43:[30, 56, 45] Operation: 17+28=45
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[30, 56, 45], Operations: ['17+28=45']
Exploring Operation: 45-30=15, Resulting Numbers: [56, 15]
Generated Node #0,1,0: 43:[56, 15] Operation: 45-30=15
Exploring Operation: 56-30=26, Resulting Numbers: [45, 26]
Generated Node #0,1,1: 43:[45, 26] Operation: 56-30=26
Moving to Node #0,1,1
Current State: 43:[45, 26], Operations: ['17+28=45', '56-30=26']
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,43 unequal: No Solution
Exploring Operation: 45+26=71, Resulting Numbers: [71]
71,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[56, 15], Operations: ['17+28=45', '45-30=15']
Exploring Operation: 56+15=71, Resulting Numbers: [71]
71,43 unequal: No Solution
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,43 unequal: No Solution
No 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: 43:[56, 28, 47], Operations: ['17+30=47']
Exploring Operation: 56-28=28, Resulting Numbers: [47, 28]
Generated Node #0,0,0: 43:[47, 28] Operation: 56-28=28
Exploring Operation: 47-28=19, Resulting Numbers: [56, 19]
Generated Node #0,0,1: 43:[56, 19] Operation: 47-28=19
Moving to Node #0,0,0
Current State: 43:[47, 28], Operations: ['17+30=47', '56-28=28']
Exploring Operation: 47+28=75, Resulting Numbers: [75]
75,43 unequal: No Solution
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[56, 19], Operations: ['17+30=47', '47-28=19']
Exploring Operation: 56+19=75, Resulting Numbers: [75]
75,43 unequal: No Solution
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,43 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 |
[
44,
88,
69,
53
] | 18 | [
"88/44=2",
"69-53=16",
"2+16=18"
] | Current State: 18:[44, 88, 69, 53], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [69, 53, 2]
Generated Node #2: [69, 53, 2] from Operation: 88/44=2
Current State: 18:[69, 53, 2], Operations: ['88/44=2']
Exploring Operation: 69-53=16, Resulting Numbers: [2, 16]
Generated Node #3: [2, 16] from Operation: 69-53=16
Current State: 18:[2, 16], Operations: ['88/44=2', '69-53=16']
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[44, 88, 69, 53], Operations: []
Exploring Operation: 88-69=19, Resulting Numbers: [44, 53, 19]
Generated Node #0,0: 18:[44, 53, 19] Operation: 88-69=19
Exploring Operation: 88-44=44, Resulting Numbers: [69, 53, 44]
Generated Node #0,1: 18:[69, 53, 44] Operation: 88-44=44
Exploring Operation: 88/44=2, Resulting Numbers: [69, 53, 2]
Generated Node #0,2: 18:[69, 53, 2] Operation: 88/44=2
Exploring Operation: 69-53=16, Resulting Numbers: [44, 88, 16]
Generated Node #0,3: 18:[44, 88, 16] Operation: 69-53=16
Exploring Operation: 88-53=35, Resulting Numbers: [44, 69, 35]
Generated Node #0,4: 18:[44, 69, 35] Operation: 88-53=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[44, 53, 19], Operations: ['88-69=19']
Exploring Operation: 53-19=34, Resulting Numbers: [44, 34]
Generated Node #0,0,0: 18:[44, 34] Operation: 53-19=34
Exploring Operation: 44+53=97, Resulting Numbers: [19, 97]
Generated Node #0,0,1: 18:[19, 97] Operation: 44+53=97
Exploring Operation: 53-44=9, Resulting Numbers: [19, 9]
Generated Node #0,0,2: 18:[19, 9] Operation: 53-44=9
Exploring Operation: 44-19=25, Resulting Numbers: [53, 25]
Generated Node #0,0,3: 18:[53, 25] Operation: 44-19=25
Exploring Operation: 44+19=63, Resulting Numbers: [53, 63]
Generated Node #0,0,4: 18:[53, 63] Operation: 44+19=63
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 18:[19, 9], Operations: ['88-69=19', '53-44=9']
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,18 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,18 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 #0,0,0
Current State: 18:[44, 34], Operations: ['88-69=19', '53-19=34']
Exploring Operation: 44+34=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 44*34=1496, Resulting Numbers: [1496]
1496,18 unequal: No Solution
Exploring Operation: 44-34=10, Resulting Numbers: [10]
10,18 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 #0,0,3
Current State: 18:[53, 25], Operations: ['88-69=19', '44-19=25']
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,18 unequal: No Solution
Exploring Operation: 53+25=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 53*25=1325, Resulting Numbers: [1325]
1325,18 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 #0,0,1
Current State: 18:[19, 97], Operations: ['88-69=19', '44+53=97']
Exploring Operation: 19+97=116, Resulting Numbers: [116]
116,18 unequal: No Solution
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 19*97=1843, Resulting Numbers: [1843]
1843,18 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 #0,0,4
Current State: 18:[53, 63], Operations: ['88-69=19', '44+19=63']
Exploring Operation: 53+63=116, Resulting Numbers: [116]
116,18 unequal: No Solution
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 53*63=3339, Resulting Numbers: [3339]
3339,18 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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 18:[69, 53, 2], Operations: ['88/44=2']
Exploring Operation: 69-53=16, Resulting Numbers: [2, 16]
Generated Node #0,2,0: 18:[2, 16] Operation: 69-53=16
Exploring Operation: 69-2=67, Resulting Numbers: [53, 67]
Generated Node #0,2,1: 18:[53, 67] Operation: 69-2=67
Exploring Operation: 53+2=55, Resulting Numbers: [69, 55]
Generated Node #0,2,2: 18:[69, 55] Operation: 53+2=55
Exploring Operation: 69+2=71, Resulting Numbers: [53, 71]
Generated Node #0,2,3: 18:[53, 71] Operation: 69+2=71
Exploring Operation: 53-2=51, Resulting Numbers: [69, 51]
Generated Node #0,2,4: 18:[69, 51] Operation: 53-2=51
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 18:[2, 16], Operations: ['88/44=2', '69-53=16']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,18 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[44, 88, 69, 53], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [69, 53, 2]
Generated Node #0,2: 18:[69, 53, 2] Operation: 88/44=2
Moving to Node #0,2
Current State: 18:[69, 53, 2], Operations: ['88/44=2']
Exploring Operation: 69-53=16, Resulting Numbers: [2, 16]
Generated Node #0,2,0: 18:[2, 16] Operation: 69-53=16
Moving to Node #0,2,0
Current State: 18:[2, 16], Operations: ['88/44=2', '69-53=16']
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_5 | mult_heuristic |
[
93,
52,
89,
90
] | 40 | [
"93-52=41",
"90-89=1",
"41-1=40"
] | Current State: 40:[93, 52, 89, 90], Operations: []
Exploring Operation: 93-52=41, Resulting Numbers: [89, 90, 41]
Generated Node #2: [89, 90, 41] from Operation: 93-52=41
Current State: 40:[89, 90, 41], Operations: ['93-52=41']
Exploring Operation: 90-89=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 90-89=1
Current State: 40:[41, 1], Operations: ['93-52=41', '90-89=1']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[93, 52, 89, 90], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [52, 90, 4]
Generated Node #0,0: 40:[52, 90, 4] Operation: 93-89=4
Exploring Operation: 93-52=41, Resulting Numbers: [89, 90, 41]
Generated Node #0,1: 40:[89, 90, 41] Operation: 93-52=41
Exploring Operation: 90-89=1, Resulting Numbers: [93, 52, 1]
Generated Node #0,2: 40:[93, 52, 1] Operation: 90-89=1
Exploring Operation: 93-90=3, Resulting Numbers: [52, 89, 3]
Generated Node #0,3: 40:[52, 89, 3] Operation: 93-90=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[52, 90, 4], Operations: ['93-89=4']
Exploring Operation: 90-52=38, Resulting Numbers: [4, 38]
Generated Node #0,0,0: 40:[4, 38] Operation: 90-52=38
Exploring Operation: 52-4=48, Resulting Numbers: [90, 48]
Generated Node #0,0,1: 40:[90, 48] Operation: 52-4=48
Exploring Operation: 90-4=86, Resulting Numbers: [52, 86]
Generated Node #0,0,2: 40:[52, 86] Operation: 90-4=86
Exploring Operation: 52/4=13, Resulting Numbers: [90, 13]
Generated Node #0,0,3: 40:[90, 13] Operation: 52/4=13
Moving to Node #0,0,0
Current State: 40:[4, 38], Operations: ['93-89=4', '90-52=38']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,40 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,40 unequal: No Solution
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,40 unequal: No Solution
Moving to Node #0,0,3
Current State: 40:[90, 13], Operations: ['93-89=4', '52/4=13']
Exploring Operation: 90*13=1170, Resulting Numbers: [1170]
1170,40 unequal: No Solution
Exploring Operation: 90-13=77, Resulting Numbers: [77]
77,40 unequal: No Solution
Exploring Operation: 90+13=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[52, 86], Operations: ['93-89=4', '90-4=86']
Exploring Operation: 52+86=138, Resulting Numbers: [138]
138,40 unequal: No Solution
Exploring Operation: 52*86=4472, Resulting Numbers: [4472]
4472,40 unequal: No Solution
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[90, 48], Operations: ['93-89=4', '52-4=48']
Exploring Operation: 90-48=42, Resulting Numbers: [42]
42,40 unequal: No Solution
Exploring Operation: 90+48=138, Resulting Numbers: [138]
138,40 unequal: No Solution
Exploring Operation: 90*48=4320, Resulting Numbers: [4320]
4320,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[52, 89, 3], Operations: ['93-90=3']
Exploring Operation: 89-52=37, Resulting Numbers: [3, 37]
Generated Node #0,3,0: 40:[3, 37] Operation: 89-52=37
Exploring Operation: 89-3=86, Resulting Numbers: [52, 86]
Generated Node #0,3,1: 40:[52, 86] Operation: 89-3=86
Exploring Operation: 52+3=55, Resulting Numbers: [89, 55]
Generated Node #0,3,2: 40:[89, 55] Operation: 52+3=55
Exploring Operation: 52-3=49, Resulting Numbers: [89, 49]
Generated Node #0,3,3: 40:[89, 49] Operation: 52-3=49
Moving to Node #0,3,0
Current State: 40:[3, 37], Operations: ['93-90=3', '89-52=37']
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[93, 52, 89, 90], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [52, 89, 3]
Generated Node #0,3: 40:[52, 89, 3] Operation: 93-90=3
Moving to Node #0,3
Current State: 40:[52, 89, 3], Operations: ['93-90=3']
Exploring Operation: 89-52=37, Resulting Numbers: [3, 37]
Generated Node #0,3,0: 40:[3, 37] Operation: 89-52=37
Moving to Node #0,3,0
Current State: 40:[3, 37], Operations: ['93-90=3', '89-52=37']
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | sum_heuristic |
[
63,
46,
35,
45
] | 95 | [
"63*35=2205",
"2205/45=49",
"46+49=95"
] | Current State: 95:[63, 46, 35, 45], Operations: []
Exploring Operation: 63*35=2205, Resulting Numbers: [46, 45, 2205]
Generated Node #2: [46, 45, 2205] from Operation: 63*35=2205
Current State: 95:[46, 45, 2205], Operations: ['63*35=2205']
Exploring Operation: 2205/45=49, Resulting Numbers: [46, 49]
Generated Node #3: [46, 49] from Operation: 2205/45=49
Current State: 95:[46, 49], Operations: ['63*35=2205', '2205/45=49']
Exploring Operation: 46+49=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[63, 46, 35, 45], Operations: []
Exploring Operation: 63-46=17, Resulting Numbers: [35, 45, 17]
Generated Node #0,0: 95:[35, 45, 17] Operation: 63-46=17
Exploring Operation: 63-45=18, Resulting Numbers: [46, 35, 18]
Generated Node #0,1: 95:[46, 35, 18] Operation: 63-45=18
Exploring Operation: 46+45=91, Resulting Numbers: [63, 35, 91]
Generated Node #0,2: 95:[63, 35, 91] Operation: 46+45=91
Exploring Operation: 46-45=1, Resulting Numbers: [63, 35, 1]
Generated Node #0,3: 95:[63, 35, 1] Operation: 46-45=1
Moving to Node #0,0
Current State: 95:[35, 45, 17], Operations: ['63-46=17']
Exploring Operation: 45-35=10, Resulting Numbers: [17, 10]
Generated Node #0,0,0: 95:[17, 10] Operation: 45-35=10
Exploring Operation: 45-17=28, Resulting Numbers: [35, 28]
Generated Node #0,0,1: 95:[35, 28] Operation: 45-17=28
Exploring Operation: 35-17=18, Resulting Numbers: [45, 18]
Generated Node #0,0,2: 95:[45, 18] Operation: 35-17=18
Exploring Operation: 35+45=80, Resulting Numbers: [17, 80]
Generated Node #0,0,3: 95:[17, 80] Operation: 35+45=80
Moving to Node #0,1
Current State: 95:[46, 35, 18], Operations: ['63-45=18']
Exploring Operation: 46+35=81, Resulting Numbers: [18, 81]
Generated Node #0,1,0: 95:[18, 81] Operation: 46+35=81
Exploring Operation: 46-35=11, Resulting Numbers: [18, 11]
Generated Node #0,1,1: 95:[18, 11] Operation: 46-35=11
Exploring Operation: 46-18=28, Resulting Numbers: [35, 28]
Generated Node #0,1,2: 95:[35, 28] Operation: 46-18=28
Exploring Operation: 35-18=17, Resulting Numbers: [46, 17]
Generated Node #0,1,3: 95:[46, 17] Operation: 35-18=17
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[18, 11], Operations: ['63-45=18', '46-35=11']
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,95 unequal: No Solution
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[18, 81], Operations: ['63-45=18', '46+35=81']
Exploring Operation: 81-18=63, Resulting Numbers: [63]
63,95 unequal: No Solution
Exploring Operation: 18*81=1458, Resulting Numbers: [1458]
1458,95 unequal: No Solution
Exploring Operation: 18+81=99, Resulting Numbers: [99]
99,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 95:[35, 28], Operations: ['63-45=18', '46-18=28']
Exploring Operation: 35+28=63, Resulting Numbers: [63]
63,95 unequal: No Solution
Exploring Operation: 35*28=980, Resulting Numbers: [980]
980,95 unequal: No Solution
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 95:[46, 17], Operations: ['63-45=18', '35-18=17']
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,95 unequal: No Solution
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 46*17=782, Resulting Numbers: [782]
782,95 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: 95:[63, 35, 1], Operations: ['46-45=1']
Exploring Operation: 63+1=64, Resulting Numbers: [35, 64]
Generated Node #0,3,0: 95:[35, 64] Operation: 63+1=64
Exploring Operation: 63-35=28, Resulting Numbers: [1, 28]
Generated Node #0,3,1: 95:[1, 28] Operation: 63-35=28
Exploring Operation: 35-1=34, Resulting Numbers: [63, 34]
Generated Node #0,3,2: 95:[63, 34] Operation: 35-1=34
Exploring Operation: 63+35=98, Resulting Numbers: [1, 98]
Generated Node #0,3,3: 95:[1, 98] Operation: 63+35=98
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 95:[1, 98], Operations: ['46-45=1', '63+35=98']
Exploring Operation: 1+98=99, Resulting Numbers: [99]
99,95 unequal: No Solution
Exploring Operation: 98/1=98, Resulting Numbers: [98]
98,95 unequal: No Solution
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,95 unequal: No Solution
Exploring Operation: 98-1=97, Resulting Numbers: [97]
97,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 95:[1, 28], Operations: ['46-45=1', '63-35=28']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 1*28=28, Resulting Numbers: [28]
28,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 95:[35, 64], Operations: ['46-45=1', '63+1=64']
Exploring Operation: 35*64=2240, Resulting Numbers: [2240]
2240,95 unequal: No Solution
Exploring Operation: 35+64=99, Resulting Numbers: [99]
99,95 unequal: No Solution
Exploring Operation: 64-35=29, Resulting Numbers: [29]
29,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 95:[63, 34], Operations: ['46-45=1', '35-1=34']
Exploring Operation: 63+34=97, Resulting Numbers: [97]
97,95 unequal: No Solution
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 63*34=2142, Resulting Numbers: [2142]
2142,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 95:[63, 35, 91], Operations: ['46+45=91']
Exploring Operation: 63+35=98, Resulting Numbers: [91, 98]
Generated Node #0,2,0: 95:[91, 98] Operation: 63+35=98
Exploring Operation: 35+91=126, Resulting Numbers: [63, 126]
Generated Node #0,2,1: 95:[63, 126] Operation: 35+91=126
Exploring Operation: 91-63=28, Resulting Numbers: [35, 28]
Generated Node #0,2,2: 95:[35, 28] Operation: 91-63=28
Exploring Operation: 63-35=28, Resulting Numbers: [91, 28]
Generated Node #0,2,3: 95:[91, 28] Operation: 63-35=28
Moving to Node #0,0,0
Current State: 95:[17, 10], Operations: ['63-46=17', '45-35=10']
Exploring Operation: 17*10=170, Resulting Numbers: [170]
170,95 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,95 unequal: No Solution
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[91, 98], Operations: ['46+45=91', '63+35=98']
Exploring Operation: 91+98=189, Resulting Numbers: [189]
189,95 unequal: No Solution
Exploring Operation: 98-91=7, Resulting Numbers: [7]
7,95 unequal: No Solution
Exploring Operation: 91*98=8918, Resulting Numbers: [8918]
8918,95 unequal: No Solution
Moving to Node #0,2,3
Current State: 95:[91, 28], Operations: ['46+45=91', '63-35=28']
Exploring Operation: 91+28=119, Resulting Numbers: [119]
119,95 unequal: No Solution
Exploring Operation: 91*28=2548, Resulting Numbers: [2548]
2548,95 unequal: No Solution
Exploring Operation: 91-28=63, Resulting Numbers: [63]
63,95 unequal: No Solution
Moving to Node #0,0,3
Current State: 95:[17, 80], Operations: ['63-46=17', '35+45=80']
Exploring Operation: 17*80=1360, Resulting Numbers: [1360]
1360,95 unequal: No Solution
Exploring Operation: 80-17=63, Resulting Numbers: [63]
63,95 unequal: No Solution
Exploring Operation: 17+80=97, Resulting Numbers: [97]
97,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[35, 28], Operations: ['63-46=17', '45-17=28']
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,95 unequal: No Solution
Exploring Operation: 35+28=63, Resulting Numbers: [63]
63,95 unequal: No Solution
Exploring Operation: 35*28=980, Resulting Numbers: [980]
980,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[35, 28], Operations: ['46+45=91', '91-63=28']
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,95 unequal: No Solution
Exploring Operation: 35+28=63, Resulting Numbers: [63]
63,95 unequal: No Solution
Exploring Operation: 35*28=980, Resulting Numbers: [980]
980,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[45, 18], Operations: ['63-46=17', '35-17=18']
Exploring Operation: 45*18=810, Resulting Numbers: [810]
810,95 unequal: No Solution
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Exploring Operation: 45+18=63, Resulting Numbers: [63]
63,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[63, 126], Operations: ['46+45=91', '35+91=126']
Exploring Operation: 126/63=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 126-63=63, Resulting Numbers: [63]
63,95 unequal: No Solution
Exploring Operation: 63*126=7938, Resulting Numbers: [7938]
7938,95 unequal: No Solution
Exploring Operation: 63+126=189, Resulting Numbers: [189]
189,95 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
27,
59,
1,
13
] | 57 | [
"27-1=26",
"26/13=2",
"59-2=57"
] | Current State: 57:[27, 59, 1, 13], Operations: []
Exploring Operation: 27-1=26, Resulting Numbers: [59, 13, 26]
Generated Node #2: [59, 13, 26] from Operation: 27-1=26
Current State: 57:[59, 13, 26], Operations: ['27-1=26']
Exploring Operation: 26/13=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 26/13=2
Current State: 57:[59, 2], Operations: ['27-1=26', '26/13=2']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[27, 59, 1, 13], Operations: []
Exploring Operation: 27-13=14, Resulting Numbers: [59, 1, 14]
Generated Node #0,0: 57:[59, 1, 14] Operation: 27-13=14
Exploring Operation: 27*1=27, Resulting Numbers: [59, 13, 27]
Generated Node #0,1: 57:[59, 13, 27] Operation: 27*1=27
Exploring Operation: 59-1=58, Resulting Numbers: [27, 13, 58]
Generated Node #0,2: 57:[27, 13, 58] Operation: 59-1=58
Exploring Operation: 27-1=26, Resulting Numbers: [59, 13, 26]
Generated Node #0,3: 57:[59, 13, 26] Operation: 27-1=26
Exploring Operation: 1+13=14, Resulting Numbers: [27, 59, 14]
Generated Node #0,4: 57:[27, 59, 14] Operation: 1+13=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[59, 1, 14], Operations: ['27-13=14']
Exploring Operation: 1*14=14, Resulting Numbers: [59, 14]
Generated Node #0,0,0: 57:[59, 14] Operation: 1*14=14
Exploring Operation: 59-1=58, Resulting Numbers: [14, 58]
Generated Node #0,0,1: 57:[14, 58] Operation: 59-1=58
Exploring Operation: 59/1=59, Resulting Numbers: [14, 59]
Generated Node #0,0,2: 57:[14, 59] Operation: 59/1=59
Exploring Operation: 59*1=59, Resulting Numbers: [14, 59]
Generated Node #0,0,3: 57:[14, 59] Operation: 59*1=59
Exploring Operation: 1+14=15, Resulting Numbers: [59, 15]
Generated Node #0,0,4: 57:[59, 15] Operation: 1+14=15
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 57:[14, 58], Operations: ['27-13=14', '59-1=58']
Exploring Operation: 14*58=812, Resulting Numbers: [812]
812,57 unequal: No Solution
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,57 unequal: No Solution
Exploring Operation: 14+58=72, Resulting Numbers: [72]
72,57 unequal: No Solution
No 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: 57:[59, 15], Operations: ['27-13=14', '1+14=15']
Exploring Operation: 59-15=44, Resulting Numbers: [44]
44,57 unequal: No Solution
Exploring Operation: 59+15=74, Resulting Numbers: [74]
74,57 unequal: No Solution
Exploring Operation: 59*15=885, Resulting Numbers: [885]
885,57 unequal: No Solution
No 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: 57:[59, 14], Operations: ['27-13=14', '1*14=14']
Exploring Operation: 59*14=826, Resulting Numbers: [826]
826,57 unequal: No Solution
Exploring Operation: 59+14=73, Resulting Numbers: [73]
73,57 unequal: No Solution
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,57 unequal: No Solution
No 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: 57:[14, 59], Operations: ['27-13=14', '59/1=59']
Exploring Operation: 14+59=73, Resulting Numbers: [73]
73,57 unequal: No Solution
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,57 unequal: No Solution
Exploring Operation: 14*59=826, Resulting Numbers: [826]
826,57 unequal: No Solution
No 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: 57:[14, 59], Operations: ['27-13=14', '59*1=59']
Exploring Operation: 14+59=73, Resulting Numbers: [73]
73,57 unequal: No Solution
Exploring Operation: 14*59=826, Resulting Numbers: [826]
826,57 unequal: No Solution
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,57 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: 57:[27, 13, 58], Operations: ['59-1=58']
Exploring Operation: 58-13=45, Resulting Numbers: [27, 45]
Generated Node #0,2,0: 57:[27, 45] Operation: 58-13=45
Exploring Operation: 58-27=31, Resulting Numbers: [13, 31]
Generated Node #0,2,1: 57:[13, 31] Operation: 58-27=31
Exploring Operation: 13+58=71, Resulting Numbers: [27, 71]
Generated Node #0,2,2: 57:[27, 71] Operation: 13+58=71
Exploring Operation: 27+13=40, Resulting Numbers: [58, 40]
Generated Node #0,2,3: 57:[58, 40] Operation: 27+13=40
Exploring Operation: 27-13=14, Resulting Numbers: [58, 14]
Generated Node #0,2,4: 57:[58, 14] Operation: 27-13=14
Moving to Node #0,2,4
Current State: 57:[58, 14], Operations: ['59-1=58', '27-13=14']
Exploring Operation: 58*14=812, Resulting Numbers: [812]
812,57 unequal: No Solution
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,57 unequal: No Solution
Exploring Operation: 58+14=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Moving to Node #0,2,3
Current State: 57:[58, 40], Operations: ['59-1=58', '27+13=40']
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 58*40=2320, Resulting Numbers: [2320]
2320,57 unequal: No Solution
Exploring Operation: 58+40=98, Resulting Numbers: [98]
98,57 unequal: No Solution
Moving to Node #0,2,1
Current State: 57:[13, 31], Operations: ['59-1=58', '58-27=31']
Exploring Operation: 13*31=403, Resulting Numbers: [403]
403,57 unequal: No Solution
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,57 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Moving to Node #0,2,0
Current State: 57:[27, 45], Operations: ['59-1=58', '58-13=45']
Exploring Operation: 27*45=1215, Resulting Numbers: [1215]
1215,57 unequal: No Solution
Exploring Operation: 27+45=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Moving to Node #0,2,2
Current State: 57:[27, 71], Operations: ['59-1=58', '13+58=71']
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,57 unequal: No Solution
Exploring Operation: 27*71=1917, Resulting Numbers: [1917]
1917,57 unequal: No Solution
Exploring Operation: 27+71=98, Resulting Numbers: [98]
98,57 unequal: No Solution
No 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: 57:[59, 13, 26], Operations: ['27-1=26']
Exploring Operation: 13+26=39, Resulting Numbers: [59, 39]
Generated Node #0,3,0: 57:[59, 39] Operation: 13+26=39
Exploring Operation: 26/13=2, Resulting Numbers: [59, 2]
Generated Node #0,3,1: 57:[59, 2] Operation: 26/13=2
Exploring Operation: 26-13=13, Resulting Numbers: [59, 13]
Generated Node #0,3,2: 57:[59, 13] Operation: 26-13=13
Exploring Operation: 59-13=46, Resulting Numbers: [26, 46]
Generated Node #0,3,3: 57:[26, 46] Operation: 59-13=46
Exploring Operation: 59-26=33, Resulting Numbers: [13, 33]
Generated Node #0,3,4: 57:[13, 33] Operation: 59-26=33
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 57:[59, 2], Operations: ['27-1=26', '26/13=2']
Exploring Operation: 59*2=118, Resulting Numbers: [118]
118,57 unequal: No Solution
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[27, 59, 1, 13], Operations: []
Exploring Operation: 27-1=26, Resulting Numbers: [59, 13, 26]
Generated Node #0,3: 57:[59, 13, 26] Operation: 27-1=26
Moving to Node #0,3
Current State: 57:[59, 13, 26], Operations: ['27-1=26']
Exploring Operation: 26/13=2, Resulting Numbers: [59, 2]
Generated Node #0,3,1: 57:[59, 2] Operation: 26/13=2
Moving to Node #0,3,1
Current State: 57:[59, 2], Operations: ['27-1=26', '26/13=2']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.951389 | hs_5 | mult_heuristic |
[
20,
30,
77,
27
] | 60 | [
"30-20=10",
"77-27=50",
"10+50=60"
] | Current State: 60:[20, 30, 77, 27], Operations: []
Exploring Operation: 30-20=10, Resulting Numbers: [77, 27, 10]
Generated Node #2: [77, 27, 10] from Operation: 30-20=10
Current State: 60:[77, 27, 10], Operations: ['30-20=10']
Exploring Operation: 77-27=50, Resulting Numbers: [10, 50]
Generated Node #3: [10, 50] from Operation: 77-27=50
Current State: 60:[10, 50], Operations: ['30-20=10', '77-27=50']
Exploring Operation: 10+50=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[20, 30, 77, 27], Operations: []
Exploring Operation: 77-27=50, Resulting Numbers: [20, 30, 50]
Generated Node #0,0: 60:[20, 30, 50] Operation: 77-27=50
Exploring Operation: 77-20=57, Resulting Numbers: [30, 27, 57]
Generated Node #0,1: 60:[30, 27, 57] Operation: 77-20=57
Moving to Node #0,1
Current State: 60:[30, 27, 57], Operations: ['77-20=57']
Exploring Operation: 30-27=3, Resulting Numbers: [57, 3]
Generated Node #0,1,0: 60:[57, 3] Operation: 30-27=3
Exploring Operation: 57-27=30, Resulting Numbers: [30, 30]
Generated Node #0,1,1: 60:[30, 30] Operation: 57-27=30
Moving to Node #0,0
Current State: 60:[20, 30, 50], Operations: ['77-27=50']
Exploring Operation: 50-20=30, Resulting Numbers: [30, 30]
Generated Node #0,0,0: 60:[30, 30] Operation: 50-20=30
Exploring Operation: 50-30=20, Resulting Numbers: [20, 20]
Generated Node #0,0,1: 60:[20, 20] Operation: 50-30=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[30, 30], Operations: ['77-27=50', '50-20=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[20, 30, 77, 27], Operations: []
Exploring Operation: 77-27=50, Resulting Numbers: [20, 30, 50]
Generated Node #0,0: 60:[20, 30, 50] Operation: 77-27=50
Moving to Node #0,0
Current State: 60:[20, 30, 50], Operations: ['77-27=50']
Exploring Operation: 50-20=30, Resulting Numbers: [30, 30]
Generated Node #0,0,0: 60:[30, 30] Operation: 50-20=30
Moving to Node #0,0,0
Current State: 60:[30, 30], Operations: ['77-27=50', '50-20=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
40,
31,
37,
37
] | 18 | [
"40-37=3",
"37-31=6",
"3*6=18"
] | Current State: 18:[40, 31, 37, 37], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [31, 3]
Generated Node #2: [31, 3] from Operation: 40-37=3
Current State: 18:[31, 3], Operations: ['40-37=3']
Exploring Operation: 37-31=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 37-31=6
Current State: 18:[3, 6], Operations: ['40-37=3', '37-31=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[40, 31, 37, 37], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [31, 37, 3]
Generated Node #0,0: 18:[31, 37, 3] Operation: 40-37=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[31, 37, 3], Operations: ['40-37=3']
Exploring Operation: 37-31=6, Resulting Numbers: [3, 6]
Generated Node #0,0,0: 18:[3, 6] Operation: 37-31=6
Moving to Node #0,0,0
Current State: 18:[3, 6], Operations: ['40-37=3', '37-31=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,18 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 |
[
9,
98,
65,
26
] | 16 | [
"9+98=107",
"65+26=91",
"107-91=16"
] | Current State: 16:[9, 98, 65, 26], Operations: []
Exploring Operation: 9+98=107, Resulting Numbers: [65, 26, 107]
Generated Node #2: [65, 26, 107] from Operation: 9+98=107
Current State: 16:[65, 26, 107], Operations: ['9+98=107']
Exploring Operation: 65+26=91, Resulting Numbers: [107, 91]
Generated Node #3: [107, 91] from Operation: 65+26=91
Current State: 16:[107, 91], Operations: ['9+98=107', '65+26=91']
Exploring Operation: 107-91=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[9, 98, 65, 26], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [9, 26, 33]
Generated Node #0,0: 16:[9, 26, 33] Operation: 98-65=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[9, 26, 33], Operations: ['98-65=33']
Exploring Operation: 33-26=7, Resulting Numbers: [9, 7]
Generated Node #0,0,0: 16:[9, 7] Operation: 33-26=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[9, 7], Operations: ['98-65=33', '33-26=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[9, 98, 65, 26], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [9, 26, 33]
Generated Node #0,0: 16:[9, 26, 33] Operation: 98-65=33
Moving to Node #0,0
Current State: 16:[9, 26, 33], Operations: ['98-65=33']
Exploring Operation: 33-26=7, Resulting Numbers: [9, 7]
Generated Node #0,0,0: 16:[9, 7] Operation: 33-26=7
Moving to Node #0,0,0
Current State: 16:[9, 7], Operations: ['98-65=33', '33-26=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
16,
2,
24,
25
] | 55 | [
"16+24=40",
"2*40=80",
"80-25=55"
] | Current State: 55:[16, 2, 24, 25], Operations: []
Exploring Operation: 16+24=40, Resulting Numbers: [2, 25, 40]
Generated Node #2: [2, 25, 40] from Operation: 16+24=40
Current State: 55:[2, 25, 40], Operations: ['16+24=40']
Exploring Operation: 2*40=80, Resulting Numbers: [25, 80]
Generated Node #3: [25, 80] from Operation: 2*40=80
Current State: 55:[25, 80], Operations: ['16+24=40', '2*40=80']
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[16, 2, 24, 25], Operations: []
Exploring Operation: 25-16=9, Resulting Numbers: [2, 24, 9]
Generated Node #0,0: 55:[2, 24, 9] Operation: 25-16=9
Exploring Operation: 24-16=8, Resulting Numbers: [2, 25, 8]
Generated Node #0,1: 55:[2, 25, 8] Operation: 24-16=8
Exploring Operation: 25-24=1, Resulting Numbers: [16, 2, 1]
Generated Node #0,2: 55:[16, 2, 1] Operation: 25-24=1
Exploring Operation: 24+25=49, Resulting Numbers: [16, 2, 49]
Generated Node #0,3: 55:[16, 2, 49] Operation: 24+25=49
Moving to Node #0,2
Current State: 55:[16, 2, 1], Operations: ['25-24=1']
Exploring Operation: 16/2=8, Resulting Numbers: [1, 8]
Generated Node #0,2,0: 55:[1, 8] Operation: 16/2=8
Exploring Operation: 16-1=15, Resulting Numbers: [2, 15]
Generated Node #0,2,1: 55:[2, 15] Operation: 16-1=15
Exploring Operation: 2+1=3, Resulting Numbers: [16, 3]
Generated Node #0,2,2: 55:[16, 3] Operation: 2+1=3
Exploring Operation: 16-2=14, Resulting Numbers: [1, 14]
Generated Node #0,2,3: 55:[1, 14] Operation: 16-2=14
Moving to Node #0,3
Current State: 55:[16, 2, 49], Operations: ['24+25=49']
Exploring Operation: 2+49=51, Resulting Numbers: [16, 51]
Generated Node #0,3,0: 55:[16, 51] Operation: 2+49=51
Exploring Operation: 16-2=14, Resulting Numbers: [49, 14]
Generated Node #0,3,1: 55:[49, 14] Operation: 16-2=14
Exploring Operation: 16+2=18, Resulting Numbers: [49, 18]
Generated Node #0,3,2: 55:[49, 18] Operation: 16+2=18
Exploring Operation: 16/2=8, Resulting Numbers: [49, 8]
Generated Node #0,3,3: 55:[49, 8] Operation: 16/2=8
Moving to Node #0,0
Current State: 55:[2, 24, 9], Operations: ['25-16=9']
Exploring Operation: 2*24=48, Resulting Numbers: [9, 48]
Generated Node #0,0,0: 55:[9, 48] Operation: 2*24=48
Exploring Operation: 24-2=22, Resulting Numbers: [9, 22]
Generated Node #0,0,1: 55:[9, 22] Operation: 24-2=22
Exploring Operation: 24/2=12, Resulting Numbers: [9, 12]
Generated Node #0,0,2: 55:[9, 12] Operation: 24/2=12
Exploring Operation: 24-9=15, Resulting Numbers: [2, 15]
Generated Node #0,0,3: 55:[2, 15] Operation: 24-9=15
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 55:[9, 12], Operations: ['25-16=9', '24/2=12']
Exploring Operation: 9*12=108, Resulting Numbers: [108]
108,55 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 55:[2, 15], Operations: ['25-16=9', '24-9=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,55 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[9, 48], Operations: ['25-16=9', '2*24=48']
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,55 unequal: No Solution
Exploring Operation: 9*48=432, Resulting Numbers: [432]
432,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[9, 22], Operations: ['25-16=9', '24-2=22']
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,55 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: 55:[2, 25, 8], Operations: ['24-16=8']
Exploring Operation: 2+8=10, Resulting Numbers: [25, 10]
Generated Node #0,1,0: 55:[25, 10] Operation: 2+8=10
Exploring Operation: 25-2=23, Resulting Numbers: [8, 23]
Generated Node #0,1,1: 55:[8, 23] Operation: 25-2=23
Exploring Operation: 2*25=50, Resulting Numbers: [8, 50]
Generated Node #0,1,2: 55:[8, 50] Operation: 2*25=50
Exploring Operation: 25-8=17, Resulting Numbers: [2, 17]
Generated Node #0,1,3: 55:[2, 17] Operation: 25-8=17
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 55:[8, 50], Operations: ['24-16=8', '2*25=50']
Exploring Operation: 8*50=400, Resulting Numbers: [400]
400,55 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,55 unequal: No Solution
Exploring Operation: 8+50=58, Resulting Numbers: [58]
58,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 55:[2, 17], Operations: ['24-16=8', '25-8=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 55:[25, 10], Operations: ['24-16=8', '2+8=10']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,55 unequal: No Solution
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[8, 23], Operations: ['24-16=8', '25-2=23']
Exploring Operation: 8*23=184, Resulting Numbers: [184]
184,55 unequal: No Solution
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 55:[1, 8], Operations: ['25-24=1', '16/2=8']
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,55 unequal: No Solution
Exploring Operation: 1+8=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[16, 3], Operations: ['25-24=1', '2+1=3']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[2, 15], Operations: ['25-24=1', '16-1=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,55 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Moving to Node #0,2,3
Current State: 55:[1, 14], Operations: ['25-24=1', '16-2=14']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[49, 8], Operations: ['24+25=49', '16/2=8']
Exploring Operation: 49+8=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 49*8=392, Resulting Numbers: [392]
392,55 unequal: No Solution
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[49, 14], Operations: ['24+25=49', '16-2=14']
Exploring Operation: 49+14=63, Resulting Numbers: [63]
63,55 unequal: No Solution
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,55 unequal: No Solution
Exploring Operation: 49*14=686, Resulting Numbers: [686]
686,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[16, 51], Operations: ['24+25=49', '2+49=51']
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,55 unequal: No Solution
Exploring Operation: 16+51=67, Resulting Numbers: [67]
67,55 unequal: No Solution
Exploring Operation: 16*51=816, Resulting Numbers: [816]
816,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[49, 18], Operations: ['24+25=49', '16+2=18']
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,55 unequal: No Solution
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 49*18=882, Resulting Numbers: [882]
882,55 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
74,
2,
63,
79
] | 73 | [
"79-74=5",
"2*5=10",
"63+10=73"
] | Current State: 73:[74, 2, 63, 79], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [2, 63, 5]
Generated Node #2: [2, 63, 5] from Operation: 79-74=5
Current State: 73:[2, 63, 5], Operations: ['79-74=5']
Exploring Operation: 2*5=10, Resulting Numbers: [63, 10]
Generated Node #3: [63, 10] from Operation: 2*5=10
Current State: 73:[63, 10], Operations: ['79-74=5', '2*5=10']
Exploring Operation: 63+10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[74, 2, 63, 79], Operations: []
Exploring Operation: 2+63=65, Resulting Numbers: [74, 79, 65]
Generated Node #0,0: 73:[74, 79, 65] Operation: 2+63=65
Moving to Node #0,0
Current State: 73:[74, 79, 65], Operations: ['2+63=65']
Exploring Operation: 79-65=14, Resulting Numbers: [74, 14]
Generated Node #0,0,0: 73:[74, 14] Operation: 79-65=14
Moving to Node #0,0,0
Current State: 73:[74, 14], Operations: ['2+63=65', '79-65=14']
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,73 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
4,
95,
9,
37
] | 22 | [
"4*9=36",
"95-37=58",
"58-36=22"
] | Current State: 22:[4, 95, 9, 37], Operations: []
Exploring Operation: 4*9=36, Resulting Numbers: [95, 37, 36]
Generated Node #2: [95, 37, 36] from Operation: 4*9=36
Current State: 22:[95, 37, 36], Operations: ['4*9=36']
Exploring Operation: 95-37=58, Resulting Numbers: [36, 58]
Generated Node #3: [36, 58] from Operation: 95-37=58
Current State: 22:[36, 58], Operations: ['4*9=36', '95-37=58']
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[4, 95, 9, 37], Operations: []
Exploring Operation: 95-9=86, Resulting Numbers: [4, 37, 86]
Generated Node #0,0: 22:[4, 37, 86] Operation: 95-9=86
Exploring Operation: 37-9=28, Resulting Numbers: [4, 95, 28]
Generated Node #0,1: 22:[4, 95, 28] Operation: 37-9=28
Exploring Operation: 95-37=58, Resulting Numbers: [4, 9, 58]
Generated Node #0,2: 22:[4, 9, 58] Operation: 95-37=58
Exploring Operation: 95-4=91, Resulting Numbers: [9, 37, 91]
Generated Node #0,3: 22:[9, 37, 91] Operation: 95-4=91
Start Sub Search at level 1: Moving to Node #0,2
Current State: 22:[4, 9, 58], Operations: ['95-37=58']
Exploring Operation: 58-4=54, Resulting Numbers: [9, 54]
Generated Node #0,2,0: 22:[9, 54] Operation: 58-4=54
Exploring Operation: 58-9=49, Resulting Numbers: [4, 49]
Generated Node #0,2,1: 22:[4, 49] Operation: 58-9=49
Exploring Operation: 9-4=5, Resulting Numbers: [58, 5]
Generated Node #0,2,2: 22:[58, 5] Operation: 9-4=5
Exploring Operation: 4+9=13, Resulting Numbers: [58, 13]
Generated Node #0,2,3: 22:[58, 13] Operation: 4+9=13
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 22:[4, 49], Operations: ['95-37=58', '58-9=49']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,22 unequal: No Solution
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,22 unequal: No Solution
No 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: 22:[9, 54], Operations: ['95-37=58', '58-4=54']
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 9*54=486, Resulting Numbers: [486]
486,22 unequal: No Solution
Exploring Operation: 9+54=63, Resulting Numbers: [63]
63,22 unequal: No Solution
No 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: 22:[58, 13], Operations: ['95-37=58', '4+9=13']
Exploring Operation: 58+13=71, Resulting Numbers: [71]
71,22 unequal: No Solution
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 58*13=754, Resulting Numbers: [754]
754,22 unequal: No Solution
No 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: 22:[58, 5], Operations: ['95-37=58', '9-4=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,22 unequal: No Solution
Exploring Operation: 58*5=290, Resulting Numbers: [290]
290,22 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: 22:[4, 37, 86], Operations: ['95-9=86']
Exploring Operation: 86-37=49, Resulting Numbers: [4, 49]
Generated Node #0,0,0: 22:[4, 49] Operation: 86-37=49
Exploring Operation: 86-4=82, Resulting Numbers: [37, 82]
Generated Node #0,0,1: 22:[37, 82] Operation: 86-4=82
Exploring Operation: 4+37=41, Resulting Numbers: [86, 41]
Generated Node #0,0,2: 22:[86, 41] Operation: 4+37=41
Exploring Operation: 37-4=33, Resulting Numbers: [86, 33]
Generated Node #0,0,3: 22:[86, 33] Operation: 37-4=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[4, 49], Operations: ['95-9=86', '86-37=49']
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,22 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,22 unequal: No Solution
No 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: 22:[37, 82], Operations: ['95-9=86', '86-4=82']
Exploring Operation: 37+82=119, Resulting Numbers: [119]
119,22 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 37*82=3034, Resulting Numbers: [3034]
3034,22 unequal: No Solution
No 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: 22:[86, 33], Operations: ['95-9=86', '37-4=33']
Exploring Operation: 86-33=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Exploring Operation: 86+33=119, Resulting Numbers: [119]
119,22 unequal: No Solution
Exploring Operation: 86*33=2838, Resulting Numbers: [2838]
2838,22 unequal: No Solution
No 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: 22:[86, 41], Operations: ['95-9=86', '4+37=41']
Exploring Operation: 86*41=3526, Resulting Numbers: [3526]
3526,22 unequal: No Solution
Exploring Operation: 86-41=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 86+41=127, Resulting Numbers: [127]
127,22 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: 22:[4, 95, 28], Operations: ['37-9=28']
Exploring Operation: 28/4=7, Resulting Numbers: [95, 7]
Generated Node #0,1,0: 22:[95, 7] Operation: 28/4=7
Exploring Operation: 28-4=24, Resulting Numbers: [95, 24]
Generated Node #0,1,1: 22:[95, 24] Operation: 28-4=24
Exploring Operation: 95-4=91, Resulting Numbers: [28, 91]
Generated Node #0,1,2: 22:[28, 91] Operation: 95-4=91
Exploring Operation: 95-28=67, Resulting Numbers: [4, 67]
Generated Node #0,1,3: 22:[4, 67] Operation: 95-28=67
Moving to Node #0,1,3
Current State: 22:[4, 67], Operations: ['37-9=28', '95-28=67']
Exploring Operation: 4+67=71, Resulting Numbers: [71]
71,22 unequal: No Solution
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,22 unequal: No Solution
Exploring Operation: 4*67=268, Resulting Numbers: [268]
268,22 unequal: No Solution
Moving to Node #0,1,2
Current State: 22:[28, 91], Operations: ['37-9=28', '95-4=91']
Exploring Operation: 28+91=119, Resulting Numbers: [119]
119,22 unequal: No Solution
Exploring Operation: 91-28=63, Resulting Numbers: [63]
63,22 unequal: No Solution
Exploring Operation: 28*91=2548, Resulting Numbers: [2548]
2548,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[95, 24], Operations: ['37-9=28', '28-4=24']
Exploring Operation: 95+24=119, Resulting Numbers: [119]
119,22 unequal: No Solution
Exploring Operation: 95-24=71, Resulting Numbers: [71]
71,22 unequal: No Solution
Exploring Operation: 95*24=2280, Resulting Numbers: [2280]
2280,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[95, 7], Operations: ['37-9=28', '28/4=7']
Exploring Operation: 95*7=665, Resulting Numbers: [665]
665,22 unequal: No Solution
Exploring Operation: 95+7=102, Resulting Numbers: [102]
102,22 unequal: No Solution
Exploring Operation: 95-7=88, Resulting Numbers: [88]
88,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 22:[9, 37, 91], Operations: ['95-4=91']
Exploring Operation: 9+37=46, Resulting Numbers: [91, 46]
Generated Node #0,3,0: 22:[91, 46] Operation: 9+37=46
Exploring Operation: 91-9=82, Resulting Numbers: [37, 82]
Generated Node #0,3,1: 22:[37, 82] Operation: 91-9=82
Exploring Operation: 37-9=28, Resulting Numbers: [91, 28]
Generated Node #0,3,2: 22:[91, 28] Operation: 37-9=28
Exploring Operation: 91-37=54, Resulting Numbers: [9, 54]
Generated Node #0,3,3: 22:[9, 54] Operation: 91-37=54
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 22:[9, 54], Operations: ['95-4=91', '91-37=54']
Exploring Operation: 9*54=486, Resulting Numbers: [486]
486,22 unequal: No Solution
Exploring Operation: 9+54=63, Resulting Numbers: [63]
63,22 unequal: No Solution
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,22 unequal: No Solution
No 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: 22:[37, 82], Operations: ['95-4=91', '91-9=82']
Exploring Operation: 37+82=119, Resulting Numbers: [119]
119,22 unequal: No Solution
Exploring Operation: 37*82=3034, Resulting Numbers: [3034]
3034,22 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,22 unequal: No Solution
No 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: 22:[91, 28], Operations: ['95-4=91', '37-9=28']
Exploring Operation: 91-28=63, Resulting Numbers: [63]
63,22 unequal: No Solution
Exploring Operation: 91+28=119, Resulting Numbers: [119]
119,22 unequal: No Solution
Exploring Operation: 91*28=2548, Resulting Numbers: [2548]
2548,22 unequal: No Solution
No 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: 22:[91, 46], Operations: ['95-4=91', '9+37=46']
Exploring Operation: 91*46=4186, Resulting Numbers: [4186]
4186,22 unequal: No Solution
Exploring Operation: 91-46=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 91+46=137, Resulting Numbers: [137]
137,22 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 |
[
44,
67,
22,
10
] | 59 | [
"44/22=2",
"67-10=57",
"2+57=59"
] | Current State: 59:[44, 67, 22, 10], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [67, 10, 2]
Generated Node #2: [67, 10, 2] from Operation: 44/22=2
Current State: 59:[67, 10, 2], Operations: ['44/22=2']
Exploring Operation: 67-10=57, Resulting Numbers: [2, 57]
Generated Node #3: [2, 57] from Operation: 67-10=57
Current State: 59:[2, 57], Operations: ['44/22=2', '67-10=57']
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[44, 67, 22, 10], Operations: []
Exploring Operation: 67-10=57, Resulting Numbers: [44, 22, 57]
Generated Node #0,0: 59:[44, 22, 57] Operation: 67-10=57
Exploring Operation: 22+10=32, Resulting Numbers: [44, 67, 32]
Generated Node #0,1: 59:[44, 67, 32] Operation: 22+10=32
Exploring Operation: 44+10=54, Resulting Numbers: [67, 22, 54]
Generated Node #0,2: 59:[67, 22, 54] Operation: 44+10=54
Moving to Node #0,1
Current State: 59:[44, 67, 32], Operations: ['22+10=32']
Exploring Operation: 44+32=76, Resulting Numbers: [67, 76]
Generated Node #0,1,0: 59:[67, 76] Operation: 44+32=76
Exploring Operation: 44-32=12, Resulting Numbers: [67, 12]
Generated Node #0,1,1: 59:[67, 12] Operation: 44-32=12
Exploring Operation: 67-32=35, Resulting Numbers: [44, 35]
Generated Node #0,1,2: 59:[44, 35] Operation: 67-32=35
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[67, 76], Operations: ['22+10=32', '44+32=76']
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,59 unequal: No Solution
Exploring Operation: 67*76=5092, Resulting Numbers: [5092]
5092,59 unequal: No Solution
Exploring Operation: 67+76=143, Resulting Numbers: [143]
143,59 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 #0,1,2
Current State: 59:[44, 35], Operations: ['22+10=32', '67-32=35']
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 44*35=1540, Resulting Numbers: [1540]
1540,59 unequal: No Solution
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,59 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 #0,1,1
Current State: 59:[67, 12], Operations: ['22+10=32', '44-32=12']
Exploring Operation: 67+12=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,59 unequal: No Solution
Exploring Operation: 67*12=804, Resulting Numbers: [804]
804,59 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:[67, 22, 54], Operations: ['44+10=54']
Exploring Operation: 22+54=76, Resulting Numbers: [67, 76]
Generated Node #0,2,0: 59:[67, 76] Operation: 22+54=76
Exploring Operation: 67+22=89, Resulting Numbers: [54, 89]
Generated Node #0,2,1: 59:[54, 89] Operation: 67+22=89
Exploring Operation: 67-22=45, Resulting Numbers: [54, 45]
Generated Node #0,2,2: 59:[54, 45] Operation: 67-22=45
Moving to Node #0,0
Current State: 59:[44, 22, 57], Operations: ['67-10=57']
Exploring Operation: 44-22=22, Resulting Numbers: [57, 22]
Generated Node #0,0,0: 59:[57, 22] Operation: 44-22=22
Exploring Operation: 22+57=79, Resulting Numbers: [44, 79]
Generated Node #0,0,1: 59:[44, 79] Operation: 22+57=79
Exploring Operation: 44+22=66, Resulting Numbers: [57, 66]
Generated Node #0,0,2: 59:[57, 66] Operation: 44+22=66
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[57, 66], Operations: ['67-10=57', '44+22=66']
Exploring Operation: 57*66=3762, Resulting Numbers: [3762]
3762,59 unequal: No Solution
Exploring Operation: 57+66=123, Resulting Numbers: [123]
123,59 unequal: No Solution
Exploring Operation: 66-57=9, Resulting Numbers: [9]
9,59 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:[44, 79], Operations: ['67-10=57', '22+57=79']
Exploring Operation: 44+79=123, Resulting Numbers: [123]
123,59 unequal: No Solution
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,59 unequal: No Solution
Exploring Operation: 44*79=3476, Resulting Numbers: [3476]
3476,59 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:[57, 22], Operations: ['67-10=57', '44-22=22']
Exploring Operation: 57*22=1254, Resulting Numbers: [1254]
1254,59 unequal: No Solution
Exploring Operation: 57+22=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 57-22=35, Resulting Numbers: [35]
35,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 59:[54, 45], Operations: ['44+10=54', '67-22=45']
Exploring Operation: 54*45=2430, Resulting Numbers: [2430]
2430,59 unequal: No Solution
Exploring Operation: 54+45=99, Resulting Numbers: [99]
99,59 unequal: No Solution
Exploring Operation: 54-45=9, Resulting Numbers: [9]
9,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[67, 76], Operations: ['44+10=54', '22+54=76']
Exploring Operation: 67*76=5092, Resulting Numbers: [5092]
5092,59 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,59 unequal: No Solution
Exploring Operation: 67+76=143, Resulting Numbers: [143]
143,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[54, 89], Operations: ['44+10=54', '67+22=89']
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,59 unequal: No Solution
Exploring Operation: 54+89=143, Resulting Numbers: [143]
143,59 unequal: No Solution
Exploring Operation: 54*89=4806, Resulting Numbers: [4806]
4806,59 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
97,
25,
93,
95
] | 34 | [
"97-95=2",
"93-25=68",
"68/2=34"
] | Current State: 34:[97, 25, 93, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [25, 93, 2]
Generated Node #2: [25, 93, 2] from Operation: 97-95=2
Current State: 34:[25, 93, 2], Operations: ['97-95=2']
Exploring Operation: 93-25=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 93-25=68
Current State: 34:[2, 68], Operations: ['97-95=2', '93-25=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[97, 25, 93, 95], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [25, 95, 4]
Generated Node #0,0: 34:[25, 95, 4] Operation: 97-93=4
Exploring Operation: 97-95=2, Resulting Numbers: [25, 93, 2]
Generated Node #0,1: 34:[25, 93, 2] Operation: 97-95=2
Moving to Node #0,1
Current State: 34:[25, 93, 2], Operations: ['97-95=2']
Exploring Operation: 25-2=23, Resulting Numbers: [93, 23]
Generated Node #0,1,0: 34:[93, 23] Operation: 25-2=23
Exploring Operation: 93-25=68, Resulting Numbers: [2, 68]
Generated Node #0,1,1: 34:[2, 68] Operation: 93-25=68
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[2, 68], Operations: ['97-95=2', '93-25=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[97, 25, 93, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [25, 93, 2]
Generated Node #0,1: 34:[25, 93, 2] Operation: 97-95=2
Moving to Node #0,1
Current State: 34:[25, 93, 2], Operations: ['97-95=2']
Exploring Operation: 93-25=68, Resulting Numbers: [2, 68]
Generated Node #0,1,1: 34:[2, 68] Operation: 93-25=68
Moving to Node #0,1,1
Current State: 34:[2, 68], Operations: ['97-95=2', '93-25=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
44,
64,
23,
55
] | 52 | [
"64-44=20",
"55-23=32",
"20+32=52"
] | Current State: 52:[44, 64, 23, 55], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [23, 55, 20]
Generated Node #2: [23, 55, 20] from Operation: 64-44=20
Current State: 52:[23, 55, 20], Operations: ['64-44=20']
Exploring Operation: 55-23=32, Resulting Numbers: [20, 32]
Generated Node #3: [20, 32] from Operation: 55-23=32
Current State: 52:[20, 32], Operations: ['64-44=20', '55-23=32']
Exploring Operation: 20+32=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[44, 64, 23, 55], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [23, 55, 20]
Generated Node #0,0: 52:[23, 55, 20] Operation: 64-44=20
Exploring Operation: 64-55=9, Resulting Numbers: [44, 23, 9]
Generated Node #0,1: 52:[44, 23, 9] Operation: 64-55=9
Exploring Operation: 55-44=11, Resulting Numbers: [64, 23, 11]
Generated Node #0,2: 52:[64, 23, 11] Operation: 55-44=11
Exploring Operation: 44-23=21, Resulting Numbers: [64, 55, 21]
Generated Node #0,3: 52:[64, 55, 21] Operation: 44-23=21
Moving to Node #0,0
Current State: 52:[23, 55, 20], Operations: ['64-44=20']
Exploring Operation: 23+20=43, Resulting Numbers: [55, 43]
Generated Node #0,0,0: 52:[55, 43] Operation: 23+20=43
Exploring Operation: 23-20=3, Resulting Numbers: [55, 3]
Generated Node #0,0,1: 52:[55, 3] Operation: 23-20=3
Exploring Operation: 55-23=32, Resulting Numbers: [20, 32]
Generated Node #0,0,2: 52:[20, 32] Operation: 55-23=32
Exploring Operation: 55-20=35, Resulting Numbers: [23, 35]
Generated Node #0,0,3: 52:[23, 35] Operation: 55-20=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[55, 3], Operations: ['64-44=20', '23-20=3']
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,52 unequal: No Solution
Exploring Operation: 55*3=165, Resulting Numbers: [165]
165,52 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[44, 64, 23, 55], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [23, 55, 20]
Generated Node #0,0: 52:[23, 55, 20] Operation: 64-44=20
Moving to Node #0,0
Current State: 52:[23, 55, 20], Operations: ['64-44=20']
Exploring Operation: 23-20=3, Resulting Numbers: [55, 3]
Generated Node #0,0,1: 52:[55, 3] Operation: 23-20=3
Moving to Node #0,0,1
Current State: 52:[55, 3], Operations: ['64-44=20', '23-20=3']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
72,
34,
14,
70
] | 94 | [
"72-34=38",
"70-14=56",
"38+56=94"
] | Current State: 94:[72, 34, 14, 70], Operations: []
Exploring Operation: 72-34=38, Resulting Numbers: [14, 70, 38]
Generated Node #2: [14, 70, 38] from Operation: 72-34=38
Current State: 94:[14, 70, 38], Operations: ['72-34=38']
Exploring Operation: 70-14=56, Resulting Numbers: [38, 56]
Generated Node #3: [38, 56] from Operation: 70-14=56
Current State: 94:[38, 56], Operations: ['72-34=38', '70-14=56']
Exploring Operation: 38+56=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[72, 34, 14, 70], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [72, 34, 5]
Generated Node #0,0: 94:[72, 34, 5] Operation: 70/14=5
Exploring Operation: 72-70=2, Resulting Numbers: [34, 14, 2]
Generated Node #0,1: 94:[34, 14, 2] Operation: 72-70=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[34, 14, 2], Operations: ['72-70=2']
Exploring Operation: 34+14=48, Resulting Numbers: [2, 48]
Generated Node #0,1,0: 94:[2, 48] Operation: 34+14=48
Exploring Operation: 34-14=20, Resulting Numbers: [2, 20]
Generated Node #0,1,1: 94:[2, 20] Operation: 34-14=20
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[2, 48], Operations: ['72-70=2', '34+14=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,94 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 94:[2, 20], Operations: ['72-70=2', '34-14=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,94 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[72, 34, 5], Operations: ['70/14=5']
Exploring Operation: 72+34=106, Resulting Numbers: [5, 106]
Generated Node #0,0,0: 94:[5, 106] Operation: 72+34=106
Exploring Operation: 72-34=38, Resulting Numbers: [5, 38]
Generated Node #0,0,1: 94:[5, 38] Operation: 72-34=38
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 94:[5, 38], Operations: ['70/14=5', '72-34=38']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[5, 106], Operations: ['70/14=5', '72+34=106']
Exploring Operation: 106-5=101, Resulting Numbers: [101]
101,94 unequal: No Solution
Exploring Operation: 5+106=111, Resulting Numbers: [111]
111,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
18,
35,
6,
43
] | 31 | [
"35+43=78",
"78/6=13",
"18+13=31"
] | Current State: 31:[18, 35, 6, 43], Operations: []
Exploring Operation: 35+43=78, Resulting Numbers: [18, 6, 78]
Generated Node #2: [18, 6, 78] from Operation: 35+43=78
Current State: 31:[18, 6, 78], Operations: ['35+43=78']
Exploring Operation: 78/6=13, Resulting Numbers: [18, 13]
Generated Node #3: [18, 13] from Operation: 78/6=13
Current State: 31:[18, 13], Operations: ['35+43=78', '78/6=13']
Exploring Operation: 18+13=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[18, 35, 6, 43], Operations: []
Exploring Operation: 18+6=24, Resulting Numbers: [35, 43, 24]
Generated Node #0,0: 31:[35, 43, 24] Operation: 18+6=24
Exploring Operation: 43-6=37, Resulting Numbers: [18, 35, 37]
Generated Node #0,1: 31:[18, 35, 37] Operation: 43-6=37
Exploring Operation: 35-6=29, Resulting Numbers: [18, 43, 29]
Generated Node #0,2: 31:[18, 43, 29] Operation: 35-6=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[35, 43, 24], Operations: ['18+6=24']
Exploring Operation: 43-35=8, Resulting Numbers: [24, 8]
Generated Node #0,0,0: 31:[24, 8] Operation: 43-35=8
Exploring Operation: 43-24=19, Resulting Numbers: [35, 19]
Generated Node #0,0,1: 31:[35, 19] Operation: 43-24=19
Exploring Operation: 35-24=11, Resulting Numbers: [43, 11]
Generated Node #0,0,2: 31:[43, 11] Operation: 35-24=11
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 31:[35, 19], Operations: ['18+6=24', '43-24=19']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,31 unequal: No Solution
Exploring Operation: 35+19=54, Resulting Numbers: [54]
54,31 unequal: No Solution
Exploring Operation: 35*19=665, Resulting Numbers: [665]
665,31 unequal: No Solution
No 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: 31:[24, 8], Operations: ['18+6=24', '43-35=8']
Exploring Operation: 24+8=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,31 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,31 unequal: No Solution
No 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: 31:[43, 11], Operations: ['18+6=24', '35-24=11']
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,31 unequal: No Solution
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,31 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: 31:[18, 35, 37], Operations: ['43-6=37']
Exploring Operation: 35-18=17, Resulting Numbers: [37, 17]
Generated Node #0,1,0: 31:[37, 17] Operation: 35-18=17
Exploring Operation: 18+35=53, Resulting Numbers: [37, 53]
Generated Node #0,1,1: 31:[37, 53] Operation: 18+35=53
Exploring Operation: 37-18=19, Resulting Numbers: [35, 19]
Generated Node #0,1,2: 31:[35, 19] Operation: 37-18=19
Moving to Node #0,1,2
Current State: 31:[35, 19], Operations: ['43-6=37', '37-18=19']
Exploring Operation: 35+19=54, Resulting Numbers: [54]
54,31 unequal: No Solution
Exploring Operation: 35*19=665, Resulting Numbers: [665]
665,31 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,31 unequal: No Solution
Moving to Node #0,1,0
Current State: 31:[37, 17], Operations: ['43-6=37', '35-18=17']
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Exploring Operation: 37*17=629, Resulting Numbers: [629]
629,31 unequal: No Solution
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[37, 53], Operations: ['43-6=37', '18+35=53']
Exploring Operation: 37*53=1961, Resulting Numbers: [1961]
1961,31 unequal: No Solution
Exploring Operation: 53-37=16, Resulting Numbers: [16]
16,31 unequal: No Solution
Exploring Operation: 37+53=90, Resulting Numbers: [90]
90,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[18, 43, 29], Operations: ['35-6=29']
Exploring Operation: 43-29=14, Resulting Numbers: [18, 14]
Generated Node #0,2,0: 31:[18, 14] Operation: 43-29=14
Exploring Operation: 43-18=25, Resulting Numbers: [29, 25]
Generated Node #0,2,1: 31:[29, 25] Operation: 43-18=25
Exploring Operation: 18+29=47, Resulting Numbers: [43, 47]
Generated Node #0,2,2: 31:[43, 47] Operation: 18+29=47
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 31:[29, 25], Operations: ['35-6=29', '43-18=25']
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,31 unequal: No Solution
Exploring Operation: 29*25=725, Resulting Numbers: [725]
725,31 unequal: No Solution
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,31 unequal: No Solution
No 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: 31:[43, 47], Operations: ['35-6=29', '18+29=47']
Exploring Operation: 43+47=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 43*47=2021, Resulting Numbers: [2021]
2021,31 unequal: No Solution
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,31 unequal: No Solution
No 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: 31:[18, 14], Operations: ['35-6=29', '43-29=14']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,31 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 |
[
21,
72,
4,
24
] | 72 | [
"21+4=25",
"25-24=1",
"72*1=72"
] | Current State: 72:[21, 72, 4, 24], Operations: []
Exploring Operation: 21+4=25, Resulting Numbers: [72, 24, 25]
Generated Node #2: [72, 24, 25] from Operation: 21+4=25
Current State: 72:[72, 24, 25], Operations: ['21+4=25']
Exploring Operation: 25-24=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 25-24=1
Current State: 72:[72, 1], Operations: ['21+4=25', '25-24=1']
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[21, 72, 4, 24], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [72, 4, 3]
Generated Node #0,0: 72:[72, 4, 3] Operation: 24-21=3
Exploring Operation: 21+4=25, Resulting Numbers: [72, 24, 25]
Generated Node #0,1: 72:[72, 24, 25] Operation: 21+4=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[72, 4, 3], Operations: ['24-21=3']
Exploring Operation: 72/4=18, Resulting Numbers: [3, 18]
Generated Node #0,0,0: 72:[3, 18] Operation: 72/4=18
Exploring Operation: 72/3=24, Resulting Numbers: [4, 24]
Generated Node #0,0,1: 72:[4, 24] Operation: 72/3=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[3, 18], Operations: ['24-21=3', '72/4=18']
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 72:[4, 24], Operations: ['24-21=3', '72/3=24']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[72, 24, 25], Operations: ['21+4=25']
Exploring Operation: 25-24=1, Resulting Numbers: [72, 1]
Generated Node #0,1,0: 72:[72, 1] Operation: 25-24=1
Exploring Operation: 72/24=3, Resulting Numbers: [25, 3]
Generated Node #0,1,1: 72:[25, 3] Operation: 72/24=3
Moving to Node #0,1,0
Current State: 72:[72, 1], Operations: ['21+4=25', '25-24=1']
Exploring Operation: 72/1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[21, 72, 4, 24], Operations: []
Exploring Operation: 21+4=25, Resulting Numbers: [72, 24, 25]
Generated Node #0,1: 72:[72, 24, 25] Operation: 21+4=25
Moving to Node #0,1
Current State: 72:[72, 24, 25], Operations: ['21+4=25']
Exploring Operation: 25-24=1, Resulting Numbers: [72, 1]
Generated Node #0,1,0: 72:[72, 1] Operation: 25-24=1
Moving to Node #0,1,0
Current State: 72:[72, 1], Operations: ['21+4=25', '25-24=1']
Exploring Operation: 72/1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
57,
6,
95,
26
] | 21 | [
"57+95=152",
"152-26=126",
"126/6=21"
] | Current State: 21:[57, 6, 95, 26], Operations: []
Exploring Operation: 57+95=152, Resulting Numbers: [6, 26, 152]
Generated Node #2: [6, 26, 152] from Operation: 57+95=152
Current State: 21:[6, 26, 152], Operations: ['57+95=152']
Exploring Operation: 152-26=126, Resulting Numbers: [6, 126]
Generated Node #3: [6, 126] from Operation: 152-26=126
Current State: 21:[6, 126], Operations: ['57+95=152', '152-26=126']
Exploring Operation: 126/6=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[57, 6, 95, 26], Operations: []
Exploring Operation: 57-6=51, Resulting Numbers: [95, 26, 51]
Generated Node #0,0: 21:[95, 26, 51] Operation: 57-6=51
Exploring Operation: 57-26=31, Resulting Numbers: [6, 95, 31]
Generated Node #0,1: 21:[6, 95, 31] Operation: 57-26=31
Exploring Operation: 95-26=69, Resulting Numbers: [57, 6, 69]
Generated Node #0,2: 21:[57, 6, 69] Operation: 95-26=69
Exploring Operation: 95-57=38, Resulting Numbers: [6, 26, 38]
Generated Node #0,3: 21:[6, 26, 38] Operation: 95-57=38
Moving to Node #0,3
Current State: 21:[6, 26, 38], Operations: ['95-57=38']
Exploring Operation: 26-6=20, Resulting Numbers: [38, 20]
Generated Node #0,3,0: 21:[38, 20] Operation: 26-6=20
Exploring Operation: 38-26=12, Resulting Numbers: [6, 12]
Generated Node #0,3,1: 21:[6, 12] Operation: 38-26=12
Exploring Operation: 6+26=32, Resulting Numbers: [38, 32]
Generated Node #0,3,2: 21:[38, 32] Operation: 6+26=32
Exploring Operation: 38-6=32, Resulting Numbers: [26, 32]
Generated Node #0,3,3: 21:[26, 32] Operation: 38-6=32
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 21:[6, 12], Operations: ['95-57=38', '38-26=12']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,21 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,21 unequal: No Solution
No 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: 21:[26, 32], Operations: ['95-57=38', '38-6=32']
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 26*32=832, Resulting Numbers: [832]
832,21 unequal: No Solution
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,21 unequal: No Solution
No 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: 21:[38, 20], Operations: ['95-57=38', '26-6=20']
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,21 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,21 unequal: No Solution
No 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: 21:[38, 32], Operations: ['95-57=38', '6+26=32']
Exploring Operation: 38*32=1216, Resulting Numbers: [1216]
1216,21 unequal: No Solution
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,21 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: 21:[57, 6, 69], Operations: ['95-26=69']
Exploring Operation: 57+6=63, Resulting Numbers: [69, 63]
Generated Node #0,2,0: 21:[69, 63] Operation: 57+6=63
Exploring Operation: 57-6=51, Resulting Numbers: [69, 51]
Generated Node #0,2,1: 21:[69, 51] Operation: 57-6=51
Exploring Operation: 69-6=63, Resulting Numbers: [57, 63]
Generated Node #0,2,2: 21:[57, 63] Operation: 69-6=63
Exploring Operation: 69-57=12, Resulting Numbers: [6, 12]
Generated Node #0,2,3: 21:[6, 12] Operation: 69-57=12
Moving to Node #0,1
Current State: 21:[6, 95, 31], Operations: ['57-26=31']
Exploring Operation: 95-31=64, Resulting Numbers: [6, 64]
Generated Node #0,1,0: 21:[6, 64] Operation: 95-31=64
Exploring Operation: 31-6=25, Resulting Numbers: [95, 25]
Generated Node #0,1,1: 21:[95, 25] Operation: 31-6=25
Exploring Operation: 95-6=89, Resulting Numbers: [31, 89]
Generated Node #0,1,2: 21:[31, 89] Operation: 95-6=89
Exploring Operation: 6+95=101, Resulting Numbers: [31, 101]
Generated Node #0,1,3: 21:[31, 101] Operation: 6+95=101
Moving to Node #0,0
Current State: 21:[95, 26, 51], Operations: ['57-6=51']
Exploring Operation: 95-26=69, Resulting Numbers: [51, 69]
Generated Node #0,0,0: 21:[51, 69] Operation: 95-26=69
Exploring Operation: 95+26=121, Resulting Numbers: [51, 121]
Generated Node #0,0,1: 21:[51, 121] Operation: 95+26=121
Exploring Operation: 95-51=44, Resulting Numbers: [26, 44]
Generated Node #0,0,2: 21:[26, 44] Operation: 95-51=44
Exploring Operation: 51-26=25, Resulting Numbers: [95, 25]
Generated Node #0,0,3: 21:[95, 25] Operation: 51-26=25
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 21:[26, 44], Operations: ['57-6=51', '95-51=44']
Exploring Operation: 26+44=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 26*44=1144, Resulting Numbers: [1144]
1144,21 unequal: No Solution
No 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: 21:[51, 69], Operations: ['57-6=51', '95-26=69']
Exploring Operation: 51*69=3519, Resulting Numbers: [3519]
3519,21 unequal: No Solution
Exploring Operation: 51+69=120, Resulting Numbers: [120]
120,21 unequal: No Solution
Exploring Operation: 69-51=18, Resulting Numbers: [18]
18,21 unequal: No Solution
No 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: 21:[95, 25], Operations: ['57-6=51', '51-26=25']
Exploring Operation: 95-25=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 95+25=120, Resulting Numbers: [120]
120,21 unequal: No Solution
Exploring Operation: 95*25=2375, Resulting Numbers: [2375]
2375,21 unequal: No Solution
No 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: 21:[51, 121], Operations: ['57-6=51', '95+26=121']
Exploring Operation: 121-51=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 51+121=172, Resulting Numbers: [172]
172,21 unequal: No Solution
Exploring Operation: 51*121=6171, Resulting Numbers: [6171]
6171,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 21:[6, 12], Operations: ['95-26=69', '69-57=12']
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,21 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[6, 64], Operations: ['57-26=31', '95-31=64']
Exploring Operation: 6+64=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,21 unequal: No Solution
Exploring Operation: 6*64=384, Resulting Numbers: [384]
384,21 unequal: No Solution
Moving to Node #0,2,2
Current State: 21:[57, 63], Operations: ['95-26=69', '69-6=63']
Exploring Operation: 63-57=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 57+63=120, Resulting Numbers: [120]
120,21 unequal: No Solution
Exploring Operation: 57*63=3591, Resulting Numbers: [3591]
3591,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[95, 25], Operations: ['57-26=31', '31-6=25']
Exploring Operation: 95-25=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 95*25=2375, Resulting Numbers: [2375]
2375,21 unequal: No Solution
Exploring Operation: 95+25=120, Resulting Numbers: [120]
120,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[31, 89], Operations: ['57-26=31', '95-6=89']
Exploring Operation: 31+89=120, Resulting Numbers: [120]
120,21 unequal: No Solution
Exploring Operation: 89-31=58, Resulting Numbers: [58]
58,21 unequal: No Solution
Exploring Operation: 31*89=2759, Resulting Numbers: [2759]
2759,21 unequal: No Solution
Moving to Node #0,2,1
Current State: 21:[69, 51], Operations: ['95-26=69', '57-6=51']
Exploring Operation: 69+51=120, Resulting Numbers: [120]
120,21 unequal: No Solution
Exploring Operation: 69-51=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 69*51=3519, Resulting Numbers: [3519]
3519,21 unequal: No Solution
Moving to Node #0,2,0
Current State: 21:[69, 63], Operations: ['95-26=69', '57+6=63']
Exploring Operation: 69+63=132, Resulting Numbers: [132]
132,21 unequal: No Solution
Exploring Operation: 69-63=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 69*63=4347, Resulting Numbers: [4347]
4347,21 unequal: No Solution
Moving to Node #0,1,3
Current State: 21:[31, 101], Operations: ['57-26=31', '6+95=101']
Exploring Operation: 31+101=132, Resulting Numbers: [132]
132,21 unequal: No Solution
Exploring Operation: 101-31=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 31*101=3131, Resulting Numbers: [3131]
3131,21 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
37,
39,
29,
88
] | 17 | [
"37+39=76",
"88-29=59",
"76-59=17"
] | Current State: 17:[37, 39, 29, 88], Operations: []
Exploring Operation: 37+39=76, Resulting Numbers: [29, 88, 76]
Generated Node #2: [29, 88, 76] from Operation: 37+39=76
Current State: 17:[29, 88, 76], Operations: ['37+39=76']
Exploring Operation: 88-29=59, Resulting Numbers: [76, 59]
Generated Node #3: [76, 59] from Operation: 88-29=59
Current State: 17:[76, 59], Operations: ['37+39=76', '88-29=59']
Exploring Operation: 76-59=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[37, 39, 29, 88], Operations: []
Exploring Operation: 88-29=59, Resulting Numbers: [37, 39, 59]
Generated Node #0,0: 17:[37, 39, 59] Operation: 88-29=59
Exploring Operation: 39-37=2, Resulting Numbers: [29, 88, 2]
Generated Node #0,1: 17:[29, 88, 2] Operation: 39-37=2
Exploring Operation: 88-37=51, Resulting Numbers: [39, 29, 51]
Generated Node #0,2: 17:[39, 29, 51] Operation: 88-37=51
Exploring Operation: 88-39=49, Resulting Numbers: [37, 29, 49]
Generated Node #0,3: 17:[37, 29, 49] Operation: 88-39=49
Moving to Node #0,3
Current State: 17:[37, 29, 49], Operations: ['88-39=49']
Exploring Operation: 49-37=12, Resulting Numbers: [29, 12]
Generated Node #0,3,0: 17:[29, 12] Operation: 49-37=12
Exploring Operation: 37-29=8, Resulting Numbers: [49, 8]
Generated Node #0,3,1: 17:[49, 8] Operation: 37-29=8
Exploring Operation: 49-29=20, Resulting Numbers: [37, 20]
Generated Node #0,3,2: 17:[37, 20] Operation: 49-29=20
Exploring Operation: 37+29=66, Resulting Numbers: [49, 66]
Generated Node #0,3,3: 17:[49, 66] Operation: 37+29=66
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 17:[29, 12], Operations: ['88-39=49', '49-37=12']
Exploring Operation: 29*12=348, Resulting Numbers: [348]
348,17 unequal: No Solution
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,17 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[37, 39, 29, 88], Operations: []
Exploring Operation: 88-39=49, Resulting Numbers: [37, 29, 49]
Generated Node #0,3: 17:[37, 29, 49] Operation: 88-39=49
Moving to Node #0,3
Current State: 17:[37, 29, 49], Operations: ['88-39=49']
Exploring Operation: 49-37=12, Resulting Numbers: [29, 12]
Generated Node #0,3,0: 17:[29, 12] Operation: 49-37=12
Moving to Node #0,3,0
Current State: 17:[29, 12], Operations: ['88-39=49', '49-37=12']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
6,
80,
96,
6
] | 17 | [
"6/6=1",
"96-80=16",
"1+16=17"
] | Current State: 17:[6, 80, 96, 6], Operations: []
Exploring Operation: 6/6=1, Resulting Numbers: [80, 96, 1]
Generated Node #2: [80, 96, 1] from Operation: 6/6=1
Current State: 17:[80, 96, 1], Operations: ['6/6=1']
Exploring Operation: 96-80=16, Resulting Numbers: [1, 16]
Generated Node #3: [1, 16] from Operation: 96-80=16
Current State: 17:[1, 16], Operations: ['6/6=1', '96-80=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[6, 80, 96, 6], Operations: []
Exploring Operation: 96-6=90, Resulting Numbers: [80, 6, 90]
Generated Node #0,0: 17:[80, 6, 90] Operation: 96-6=90
Exploring Operation: 96-80=16, Resulting Numbers: [6, 6, 16]
Generated Node #0,1: 17:[6, 6, 16] Operation: 96-80=16
Exploring Operation: 80-6=74, Resulting Numbers: [96, 6, 74]
Generated Node #0,2: 17:[96, 6, 74] Operation: 80-6=74
Exploring Operation: 96/6=16, Resulting Numbers: [6, 80, 16]
Generated Node #0,3: 17:[6, 80, 16] Operation: 96/6=16
Exploring Operation: 96/6=16, Resulting Numbers: [80, 6, 16]
Generated Node #0,4: 17:[80, 6, 16] Operation: 96/6=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[6, 6, 16], Operations: ['96-80=16']
Exploring Operation: 6-6=0, Resulting Numbers: [16, 0]
Generated Node #0,1,0: 17:[16, 0] Operation: 6-6=0
Exploring Operation: 6/6=1, Resulting Numbers: [16, 1]
Generated Node #0,1,1: 17:[16, 1] Operation: 6/6=1
Exploring Operation: 6+6=12, Resulting Numbers: [16, 12]
Generated Node #0,1,2: 17:[16, 12] Operation: 6+6=12
Exploring Operation: 6+16=22, Resulting Numbers: [6, 22]
Generated Node #0,1,3: 17:[6, 22] Operation: 6+16=22
Exploring Operation: 6+16=22, Resulting Numbers: [6, 22]
Generated Node #0,1,4: 17:[6, 22] Operation: 6+16=22
Moving to Node #0,1,2
Current State: 17:[16, 12], Operations: ['96-80=16', '6+6=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,17 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,17 unequal: No Solution
Moving to Node #0,1,4
Current State: 17:[6, 22], Operations: ['96-80=16', '6+16=22']
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,17 unequal: No Solution
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,17 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Moving to Node #0,1,3
Current State: 17:[6, 22], Operations: ['96-80=16', '6+16=22']
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,17 unequal: No Solution
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,17 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[16, 1], Operations: ['96-80=16', '6/6=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[6, 80, 96, 6], Operations: []
Exploring Operation: 96-80=16, Resulting Numbers: [6, 6, 16]
Generated Node #0,1: 17:[6, 6, 16] Operation: 96-80=16
Moving to Node #0,1
Current State: 17:[6, 6, 16], Operations: ['96-80=16']
Exploring Operation: 6/6=1, Resulting Numbers: [16, 1]
Generated Node #0,1,1: 17:[16, 1] Operation: 6/6=1
Moving to Node #0,1,1
Current State: 17:[16, 1], Operations: ['96-80=16', '6/6=1']
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | mult_heuristic |
[
22,
15,
81,
45
] | 18 | [
"22-15=7",
"81+45=126",
"126/7=18"
] | Current State: 18:[22, 15, 81, 45], Operations: []
Exploring Operation: 22-15=7, Resulting Numbers: [81, 45, 7]
Generated Node #2: [81, 45, 7] from Operation: 22-15=7
Current State: 18:[81, 45, 7], Operations: ['22-15=7']
Exploring Operation: 81+45=126, Resulting Numbers: [7, 126]
Generated Node #3: [7, 126] from Operation: 81+45=126
Current State: 18:[7, 126], Operations: ['22-15=7', '81+45=126']
Exploring Operation: 126/7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[22, 15, 81, 45], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [22, 81, 3]
Generated Node #0,0: 18:[22, 81, 3] Operation: 45/15=3
Exploring Operation: 81-45=36, Resulting Numbers: [22, 15, 36]
Generated Node #0,1: 18:[22, 15, 36] Operation: 81-45=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[22, 15, 36], Operations: ['81-45=36']
Exploring Operation: 36-22=14, Resulting Numbers: [15, 14]
Generated Node #0,1,0: 18:[15, 14] Operation: 36-22=14
Exploring Operation: 36-15=21, Resulting Numbers: [22, 21]
Generated Node #0,1,1: 18:[22, 21] Operation: 36-15=21
Moving to Node #0,1,0
Current State: 18:[15, 14], Operations: ['81-45=36', '36-22=14']
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[22, 21], Operations: ['81-45=36', '36-15=21']
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,18 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:[22, 81, 3], Operations: ['45/15=3']
Exploring Operation: 81/3=27, Resulting Numbers: [22, 27]
Generated Node #0,0,0: 18:[22, 27] Operation: 81/3=27
Exploring Operation: 81-22=59, Resulting Numbers: [3, 59]
Generated Node #0,0,1: 18:[3, 59] Operation: 81-22=59
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[22, 27], Operations: ['45/15=3', '81/3=27']
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,18 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 #0,0,1
Current State: 18:[3, 59], Operations: ['45/15=3', '81-22=59']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,18 unequal: No Solution
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,18 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_2 | mult_heuristic |
[
50,
78,
27,
20
] | 19 | [
"78-50=28",
"27+20=47",
"47-28=19"
] | Current State: 19:[50, 78, 27, 20], Operations: []
Exploring Operation: 78-50=28, Resulting Numbers: [27, 20, 28]
Generated Node #2: [27, 20, 28] from Operation: 78-50=28
Current State: 19:[27, 20, 28], Operations: ['78-50=28']
Exploring Operation: 27+20=47, Resulting Numbers: [28, 47]
Generated Node #3: [28, 47] from Operation: 27+20=47
Current State: 19:[28, 47], Operations: ['78-50=28', '27+20=47']
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[50, 78, 27, 20], Operations: []
Exploring Operation: 78-27=51, Resulting Numbers: [50, 20, 51]
Generated Node #0,0: 19:[50, 20, 51] Operation: 78-27=51
Exploring Operation: 78-50=28, Resulting Numbers: [27, 20, 28]
Generated Node #0,1: 19:[27, 20, 28] Operation: 78-50=28
Exploring Operation: 78-20=58, Resulting Numbers: [50, 27, 58]
Generated Node #0,2: 19:[50, 27, 58] Operation: 78-20=58
Exploring Operation: 50-27=23, Resulting Numbers: [78, 20, 23]
Generated Node #0,3: 19:[78, 20, 23] Operation: 50-27=23
Exploring Operation: 50-20=30, Resulting Numbers: [78, 27, 30]
Generated Node #0,4: 19:[78, 27, 30] Operation: 50-20=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[27, 20, 28], Operations: ['78-50=28']
Exploring Operation: 28-20=8, Resulting Numbers: [27, 8]
Generated Node #0,1,0: 19:[27, 8] Operation: 28-20=8
Exploring Operation: 27-20=7, Resulting Numbers: [28, 7]
Generated Node #0,1,1: 19:[28, 7] Operation: 27-20=7
Exploring Operation: 27+20=47, Resulting Numbers: [28, 47]
Generated Node #0,1,2: 19:[28, 47] Operation: 27+20=47
Exploring Operation: 27+28=55, Resulting Numbers: [20, 55]
Generated Node #0,1,3: 19:[20, 55] Operation: 27+28=55
Exploring Operation: 28-27=1, Resulting Numbers: [20, 1]
Generated Node #0,1,4: 19:[20, 1] Operation: 28-27=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[27, 8], Operations: ['78-50=28', '28-20=8']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[50, 78, 27, 20], Operations: []
Exploring Operation: 78-50=28, Resulting Numbers: [27, 20, 28]
Generated Node #0,1: 19:[27, 20, 28] Operation: 78-50=28
Moving to Node #0,1
Current State: 19:[27, 20, 28], Operations: ['78-50=28']
Exploring Operation: 28-20=8, Resulting Numbers: [27, 8]
Generated Node #0,1,0: 19:[27, 8] Operation: 28-20=8
Moving to Node #0,1,0
Current State: 19:[27, 8], Operations: ['78-50=28', '28-20=8']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
7,
29,
88,
71
] | 94 | [
"71-29=42",
"42/7=6",
"88+6=94"
] | Current State: 94:[7, 29, 88, 71], Operations: []
Exploring Operation: 71-29=42, Resulting Numbers: [7, 88, 42]
Generated Node #2: [7, 88, 42] from Operation: 71-29=42
Current State: 94:[7, 88, 42], Operations: ['71-29=42']
Exploring Operation: 42/7=6, Resulting Numbers: [88, 6]
Generated Node #3: [88, 6] from Operation: 42/7=6
Current State: 94:[88, 6], Operations: ['71-29=42', '42/7=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[7, 29, 88, 71], Operations: []
Exploring Operation: 7+71=78, Resulting Numbers: [29, 88, 78]
Generated Node #0,0: 94:[29, 88, 78] Operation: 7+71=78
Exploring Operation: 88-71=17, Resulting Numbers: [7, 29, 17]
Generated Node #0,1: 94:[7, 29, 17] Operation: 88-71=17
Exploring Operation: 7+29=36, Resulting Numbers: [88, 71, 36]
Generated Node #0,2: 94:[88, 71, 36] Operation: 7+29=36
Exploring Operation: 29+71=100, Resulting Numbers: [7, 88, 100]
Generated Node #0,3: 94:[7, 88, 100] Operation: 29+71=100
Exploring Operation: 71-29=42, Resulting Numbers: [7, 88, 42]
Generated Node #0,4: 94:[7, 88, 42] Operation: 71-29=42
Moving to Node #0,4
Current State: 94:[7, 88, 42], Operations: ['71-29=42']
Exploring Operation: 88-42=46, Resulting Numbers: [7, 46]
Generated Node #0,4,0: 94:[7, 46] Operation: 88-42=46
Exploring Operation: 7+42=49, Resulting Numbers: [88, 49]
Generated Node #0,4,1: 94:[88, 49] Operation: 7+42=49
Exploring Operation: 7+88=95, Resulting Numbers: [42, 95]
Generated Node #0,4,2: 94:[42, 95] Operation: 7+88=95
Exploring Operation: 88-7=81, Resulting Numbers: [42, 81]
Generated Node #0,4,3: 94:[42, 81] Operation: 88-7=81
Exploring Operation: 42/7=6, Resulting Numbers: [88, 6]
Generated Node #0,4,4: 94:[88, 6] Operation: 42/7=6
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 94:[7, 46], Operations: ['71-29=42', '88-42=46']
Exploring Operation: 7*46=322, Resulting Numbers: [322]
322,94 unequal: No Solution
Exploring Operation: 7+46=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 94:[42, 95], Operations: ['71-29=42', '7+88=95']
Exploring Operation: 42*95=3990, Resulting Numbers: [3990]
3990,94 unequal: No Solution
Exploring Operation: 95-42=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 42+95=137, Resulting Numbers: [137]
137,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 94:[88, 49], Operations: ['71-29=42', '7+42=49']
Exploring Operation: 88+49=137, Resulting Numbers: [137]
137,94 unequal: No Solution
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,94 unequal: No Solution
Exploring Operation: 88*49=4312, Resulting Numbers: [4312]
4312,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 94:[88, 6], Operations: ['71-29=42', '42/7=6']
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,94 unequal: No Solution
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[7, 29, 88, 71], Operations: []
Exploring Operation: 71-29=42, Resulting Numbers: [7, 88, 42]
Generated Node #0,4: 94:[7, 88, 42] Operation: 71-29=42
Moving to Node #0,4
Current State: 94:[7, 88, 42], Operations: ['71-29=42']
Exploring Operation: 42/7=6, Resulting Numbers: [88, 6]
Generated Node #0,4,4: 94:[88, 6] Operation: 42/7=6
Moving to Node #0,4,4
Current State: 94:[88, 6], Operations: ['71-29=42', '42/7=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | sum_heuristic |
[
79,
9,
16,
76
] | 19 | [
"79+16=95",
"76+95=171",
"171/9=19"
] | Current State: 19:[79, 9, 16, 76], Operations: []
Exploring Operation: 79+16=95, Resulting Numbers: [9, 76, 95]
Generated Node #2: [9, 76, 95] from Operation: 79+16=95
Current State: 19:[9, 76, 95], Operations: ['79+16=95']
Exploring Operation: 76+95=171, Resulting Numbers: [9, 171]
Generated Node #3: [9, 171] from Operation: 76+95=171
Current State: 19:[9, 171], Operations: ['79+16=95', '76+95=171']
Exploring Operation: 171/9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[79, 9, 16, 76], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [9, 16, 3]
Generated Node #0,0: 19:[9, 16, 3] Operation: 79-76=3
Exploring Operation: 79-16=63, Resulting Numbers: [9, 76, 63]
Generated Node #0,1: 19:[9, 76, 63] Operation: 79-16=63
Exploring Operation: 79-9=70, Resulting Numbers: [16, 76, 70]
Generated Node #0,2: 19:[16, 76, 70] Operation: 79-9=70
Moving to Node #0,0
Current State: 19:[9, 16, 3], Operations: ['79-76=3']
Exploring Operation: 9+3=12, Resulting Numbers: [16, 12]
Generated Node #0,0,0: 19:[16, 12] Operation: 9+3=12
Exploring Operation: 16+3=19, Resulting Numbers: [9, 19]
Generated Node #0,0,1: 19:[9, 19] Operation: 16+3=19
Exploring Operation: 9*3=27, Resulting Numbers: [16, 27]
Generated Node #0,0,2: 19:[16, 27] Operation: 9*3=27
Moving to Node #0,1
Current State: 19:[9, 76, 63], Operations: ['79-16=63']
Exploring Operation: 76-9=67, Resulting Numbers: [63, 67]
Generated Node #0,1,0: 19:[63, 67] Operation: 76-9=67
Exploring Operation: 63/9=7, Resulting Numbers: [76, 7]
Generated Node #0,1,1: 19:[76, 7] Operation: 63/9=7
Exploring Operation: 76-63=13, Resulting Numbers: [9, 13]
Generated Node #0,1,2: 19:[9, 13] Operation: 76-63=13
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 19:[9, 13], Operations: ['79-16=63', '76-63=13']
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 9*13=117, Resulting Numbers: [117]
117,19 unequal: No Solution
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,19 unequal: No Solution
No 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: 19:[76, 7], Operations: ['79-16=63', '63/9=7']
Exploring Operation: 76*7=532, Resulting Numbers: [532]
532,19 unequal: No Solution
Exploring Operation: 76+7=83, Resulting Numbers: [83]
83,19 unequal: No Solution
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,19 unequal: No Solution
No 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: 19:[63, 67], Operations: ['79-16=63', '76-9=67']
Exploring Operation: 63*67=4221, Resulting Numbers: [4221]
4221,19 unequal: No Solution
Exploring Operation: 63+67=130, Resulting Numbers: [130]
130,19 unequal: No Solution
Exploring Operation: 67-63=4, Resulting Numbers: [4]
4,19 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: 19:[16, 76, 70], Operations: ['79-9=70']
Exploring Operation: 70-16=54, Resulting Numbers: [76, 54]
Generated Node #0,2,0: 19:[76, 54] Operation: 70-16=54
Exploring Operation: 76-16=60, Resulting Numbers: [70, 60]
Generated Node #0,2,1: 19:[70, 60] Operation: 76-16=60
Exploring Operation: 76-70=6, Resulting Numbers: [16, 6]
Generated Node #0,2,2: 19:[16, 6] Operation: 76-70=6
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 19:[16, 6], Operations: ['79-9=70', '76-70=6']
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,19 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,19 unequal: No Solution
No 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: 19:[76, 54], Operations: ['79-9=70', '70-16=54']
Exploring Operation: 76+54=130, Resulting Numbers: [130]
130,19 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 76*54=4104, Resulting Numbers: [4104]
4104,19 unequal: No Solution
No 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: 19:[70, 60], Operations: ['79-9=70', '76-16=60']
Exploring Operation: 70*60=4200, Resulting Numbers: [4200]
4200,19 unequal: No Solution
Exploring Operation: 70+60=130, Resulting Numbers: [130]
130,19 unequal: No Solution
Exploring Operation: 70-60=10, Resulting Numbers: [10]
10,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 19:[16, 12], Operations: ['79-76=3', '9+3=12']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[9, 19], Operations: ['79-76=3', '16+3=19']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 9*19=171, Resulting Numbers: [171]
171,19 unequal: No Solution
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[16, 27], Operations: ['79-76=3', '9*3=27']
Exploring Operation: 16*27=432, Resulting Numbers: [432]
432,19 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,19 unequal: No Solution
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,19 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
8,
17,
35,
51
] | 81 | [
"35-8=27",
"51/17=3",
"27*3=81"
] | Current State: 81:[8, 17, 35, 51], Operations: []
Exploring Operation: 35-8=27, Resulting Numbers: [17, 51, 27]
Generated Node #2: [17, 51, 27] from Operation: 35-8=27
Current State: 81:[17, 51, 27], Operations: ['35-8=27']
Exploring Operation: 51/17=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 51/17=3
Current State: 81:[27, 3], Operations: ['35-8=27', '51/17=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[8, 17, 35, 51], Operations: []
Exploring Operation: 17+51=68, Resulting Numbers: [8, 35, 68]
Generated Node #0,0: 81:[8, 35, 68] Operation: 17+51=68
Exploring Operation: 51-35=16, Resulting Numbers: [8, 17, 16]
Generated Node #0,1: 81:[8, 17, 16] Operation: 51-35=16
Exploring Operation: 51/17=3, Resulting Numbers: [8, 35, 3]
Generated Node #0,2: 81:[8, 35, 3] Operation: 51/17=3
Exploring Operation: 35+51=86, Resulting Numbers: [8, 17, 86]
Generated Node #0,3: 81:[8, 17, 86] Operation: 35+51=86
Exploring Operation: 51-17=34, Resulting Numbers: [8, 35, 34]
Generated Node #0,4: 81:[8, 35, 34] Operation: 51-17=34
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[8, 35, 3], Operations: ['51/17=3']
Exploring Operation: 35-8=27, Resulting Numbers: [3, 27]
Generated Node #0,2,0: 81:[3, 27] Operation: 35-8=27
Exploring Operation: 8-3=5, Resulting Numbers: [35, 5]
Generated Node #0,2,1: 81:[35, 5] Operation: 8-3=5
Exploring Operation: 8+3=11, Resulting Numbers: [35, 11]
Generated Node #0,2,2: 81:[35, 11] Operation: 8+3=11
Exploring Operation: 35-3=32, Resulting Numbers: [8, 32]
Generated Node #0,2,3: 81:[8, 32] Operation: 35-3=32
Exploring Operation: 8*3=24, Resulting Numbers: [35, 24]
Generated Node #0,2,4: 81:[35, 24] Operation: 8*3=24
Moving to Node #0,2,0
Current State: 81:[3, 27], Operations: ['51/17=3', '35-8=27']
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[8, 17, 35, 51], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [8, 35, 3]
Generated Node #0,2: 81:[8, 35, 3] Operation: 51/17=3
Moving to Node #0,2
Current State: 81:[8, 35, 3], Operations: ['51/17=3']
Exploring Operation: 35-8=27, Resulting Numbers: [3, 27]
Generated Node #0,2,0: 81:[3, 27] Operation: 35-8=27
Moving to Node #0,2,0
Current State: 81:[3, 27], Operations: ['51/17=3', '35-8=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
71,
3,
25,
94
] | 44 | [
"71-25=46",
"3*46=138",
"138-94=44"
] | Current State: 44:[71, 3, 25, 94], Operations: []
Exploring Operation: 71-25=46, Resulting Numbers: [3, 94, 46]
Generated Node #2: [3, 94, 46] from Operation: 71-25=46
Current State: 44:[3, 94, 46], Operations: ['71-25=46']
Exploring Operation: 3*46=138, Resulting Numbers: [94, 138]
Generated Node #3: [94, 138] from Operation: 3*46=138
Current State: 44:[94, 138], Operations: ['71-25=46', '3*46=138']
Exploring Operation: 138-94=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[71, 3, 25, 94], Operations: []
Exploring Operation: 94-71=23, Resulting Numbers: [3, 25, 23]
Generated Node #0,0: 44:[3, 25, 23] Operation: 94-71=23
Moving to Node #0,0
Current State: 44:[3, 25, 23], Operations: ['94-71=23']
Exploring Operation: 25-3=22, Resulting Numbers: [23, 22]
Generated Node #0,0,0: 44:[23, 22] Operation: 25-3=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[23, 22], Operations: ['94-71=23', '25-3=22']
Exploring Operation: 23+22=45, Resulting Numbers: [45]
45,44 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 |
[
2,
7,
98,
67
] | 68 | [
"67-7=60",
"60/2=30",
"98-30=68"
] | Current State: 68:[2, 7, 98, 67], Operations: []
Exploring Operation: 67-7=60, Resulting Numbers: [2, 98, 60]
Generated Node #2: [2, 98, 60] from Operation: 67-7=60
Current State: 68:[2, 98, 60], Operations: ['67-7=60']
Exploring Operation: 60/2=30, Resulting Numbers: [98, 30]
Generated Node #3: [98, 30] from Operation: 60/2=30
Current State: 68:[98, 30], Operations: ['67-7=60', '60/2=30']
Exploring Operation: 98-30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[2, 7, 98, 67], Operations: []
Exploring Operation: 98-7=91, Resulting Numbers: [2, 67, 91]
Generated Node #0,0: 68:[2, 67, 91] Operation: 98-7=91
Exploring Operation: 98/7=14, Resulting Numbers: [2, 67, 14]
Generated Node #0,1: 68:[2, 67, 14] Operation: 98/7=14
Exploring Operation: 98-67=31, Resulting Numbers: [2, 7, 31]
Generated Node #0,2: 68:[2, 7, 31] Operation: 98-67=31
Exploring Operation: 98/2=49, Resulting Numbers: [7, 67, 49]
Generated Node #0,3: 68:[7, 67, 49] Operation: 98/2=49
Moving to Node #0,1
Current State: 68:[2, 67, 14], Operations: ['98/7=14']
Exploring Operation: 2+14=16, Resulting Numbers: [67, 16]
Generated Node #0,1,0: 68:[67, 16] Operation: 2+14=16
Exploring Operation: 2+67=69, Resulting Numbers: [14, 69]
Generated Node #0,1,1: 68:[14, 69] Operation: 2+67=69
Exploring Operation: 67-2=65, Resulting Numbers: [14, 65]
Generated Node #0,1,2: 68:[14, 65] Operation: 67-2=65
Exploring Operation: 14/2=7, Resulting Numbers: [67, 7]
Generated Node #0,1,3: 68:[67, 7] Operation: 14/2=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[67, 16], Operations: ['98/7=14', '2+14=16']
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,68 unequal: No Solution
Exploring Operation: 67*16=1072, Resulting Numbers: [1072]
1072,68 unequal: No Solution
Exploring Operation: 67+16=83, Resulting Numbers: [83]
83,68 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:[14, 69], Operations: ['98/7=14', '2+67=69']
Exploring Operation: 69-14=55, Resulting Numbers: [55]
55,68 unequal: No Solution
Exploring Operation: 14+69=83, Resulting Numbers: [83]
83,68 unequal: No Solution
Exploring Operation: 14*69=966, Resulting Numbers: [966]
966,68 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 #0,1,3
Current State: 68:[67, 7], Operations: ['98/7=14', '14/2=7']
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,68 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,68 unequal: No Solution
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,68 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:[14, 65], Operations: ['98/7=14', '67-2=65']
Exploring Operation: 14*65=910, Resulting Numbers: [910]
910,68 unequal: No Solution
Exploring Operation: 14+65=79, Resulting Numbers: [79]
79,68 unequal: No Solution
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,68 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: 68:[2, 7, 31], Operations: ['98-67=31']
Exploring Operation: 7-2=5, Resulting Numbers: [31, 5]
Generated Node #0,2,0: 68:[31, 5] Operation: 7-2=5
Exploring Operation: 2+31=33, Resulting Numbers: [7, 33]
Generated Node #0,2,1: 68:[7, 33] Operation: 2+31=33
Exploring Operation: 2*7=14, Resulting Numbers: [31, 14]
Generated Node #0,2,2: 68:[31, 14] Operation: 2*7=14
Exploring Operation: 7+31=38, Resulting Numbers: [2, 38]
Generated Node #0,2,3: 68:[2, 38] Operation: 7+31=38
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 68:[31, 5], Operations: ['98-67=31', '7-2=5']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 31*5=155, Resulting Numbers: [155]
155,68 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 #0,2,1
Current State: 68:[7, 33], Operations: ['98-67=31', '2+31=33']
Exploring Operation: 7+33=40, Resulting Numbers: [40]
40,68 unequal: No Solution
Exploring Operation: 7*33=231, Resulting Numbers: [231]
231,68 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,68 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 #0,2,3
Current State: 68:[2, 38], Operations: ['98-67=31', '7+31=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,68 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,68 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 #0,2,2
Current State: 68:[31, 14], Operations: ['98-67=31', '2*7=14']
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,68 unequal: No Solution
Exploring Operation: 31*14=434, Resulting Numbers: [434]
434,68 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: 68:[7, 67, 49], Operations: ['98/2=49']
Exploring Operation: 67-49=18, Resulting Numbers: [7, 18]
Generated Node #0,3,0: 68:[7, 18] Operation: 67-49=18
Exploring Operation: 49/7=7, Resulting Numbers: [67, 7]
Generated Node #0,3,1: 68:[67, 7] Operation: 49/7=7
Exploring Operation: 7+49=56, Resulting Numbers: [67, 56]
Generated Node #0,3,2: 68:[67, 56] Operation: 7+49=56
Exploring Operation: 49-7=42, Resulting Numbers: [67, 42]
Generated Node #0,3,3: 68:[67, 42] Operation: 49-7=42
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 68:[7, 18], Operations: ['98/2=49', '67-49=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,68 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,68 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,68 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 #0,3,1
Current State: 68:[67, 7], Operations: ['98/2=49', '49/7=7']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,68 unequal: No Solution
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,68 unequal: No Solution
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,68 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 #0,3,3
Current State: 68:[67, 42], Operations: ['98/2=49', '49-7=42']
Exploring Operation: 67*42=2814, Resulting Numbers: [2814]
2814,68 unequal: No Solution
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,68 unequal: No Solution
Exploring Operation: 67+42=109, Resulting Numbers: [109]
109,68 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 #0,3,2
Current State: 68:[67, 56], Operations: ['98/2=49', '7+49=56']
Exploring Operation: 67-56=11, Resulting Numbers: [11]
11,68 unequal: No Solution
Exploring Operation: 67+56=123, Resulting Numbers: [123]
123,68 unequal: No Solution
Exploring Operation: 67*56=3752, Resulting Numbers: [3752]
3752,68 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:[2, 67, 91], Operations: ['98-7=91']
Exploring Operation: 91-67=24, Resulting Numbers: [2, 24]
Generated Node #0,0,0: 68:[2, 24] Operation: 91-67=24
Exploring Operation: 2+67=69, Resulting Numbers: [91, 69]
Generated Node #0,0,1: 68:[91, 69] Operation: 2+67=69
Exploring Operation: 67-2=65, Resulting Numbers: [91, 65]
Generated Node #0,0,2: 68:[91, 65] Operation: 67-2=65
Exploring Operation: 91-2=89, Resulting Numbers: [67, 89]
Generated Node #0,0,3: 68:[67, 89] Operation: 91-2=89
Moving to Node #0,0,0
Current State: 68:[2, 24], Operations: ['98-7=91', '91-67=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,68 unequal: No Solution
Moving to Node #0,0,3
Current State: 68:[67, 89], Operations: ['98-7=91', '91-2=89']
Exploring Operation: 67*89=5963, Resulting Numbers: [5963]
5963,68 unequal: No Solution
Exploring Operation: 67+89=156, Resulting Numbers: [156]
156,68 unequal: No Solution
Exploring Operation: 89-67=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[91, 69], Operations: ['98-7=91', '2+67=69']
Exploring Operation: 91*69=6279, Resulting Numbers: [6279]
6279,68 unequal: No Solution
Exploring Operation: 91-69=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Exploring Operation: 91+69=160, Resulting Numbers: [160]
160,68 unequal: No Solution
Moving to Node #0,0,2
Current State: 68:[91, 65], Operations: ['98-7=91', '67-2=65']
Exploring Operation: 91*65=5915, Resulting Numbers: [5915]
5915,68 unequal: No Solution
Exploring Operation: 91-65=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Exploring Operation: 91+65=156, Resulting Numbers: [156]
156,68 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
66,
98,
15,
1
] | 73 | [
"15-1=14",
"98/14=7",
"66+7=73"
] | Current State: 73:[66, 98, 15, 1], Operations: []
Exploring Operation: 15-1=14, Resulting Numbers: [66, 98, 14]
Generated Node #2: [66, 98, 14] from Operation: 15-1=14
Current State: 73:[66, 98, 14], Operations: ['15-1=14']
Exploring Operation: 98/14=7, Resulting Numbers: [66, 7]
Generated Node #3: [66, 7] from Operation: 98/14=7
Current State: 73:[66, 7], Operations: ['15-1=14', '98/14=7']
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[66, 98, 15, 1], Operations: []
Exploring Operation: 98-1=97, Resulting Numbers: [66, 15, 97]
Generated Node #0,0: 73:[66, 15, 97] Operation: 98-1=97
Exploring Operation: 98-15=83, Resulting Numbers: [66, 1, 83]
Generated Node #0,1: 73:[66, 1, 83] Operation: 98-15=83
Exploring Operation: 66+1=67, Resulting Numbers: [98, 15, 67]
Generated Node #0,2: 73:[98, 15, 67] Operation: 66+1=67
Moving to Node #0,0
Current State: 73:[66, 15, 97], Operations: ['98-1=97']
Exploring Operation: 66+15=81, Resulting Numbers: [97, 81]
Generated Node #0,0,0: 73:[97, 81] Operation: 66+15=81
Exploring Operation: 66-15=51, Resulting Numbers: [97, 51]
Generated Node #0,0,1: 73:[97, 51] Operation: 66-15=51
Exploring Operation: 97-15=82, Resulting Numbers: [66, 82]
Generated Node #0,0,2: 73:[66, 82] Operation: 97-15=82
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 73:[66, 82], Operations: ['98-1=97', '97-15=82']
Exploring Operation: 66+82=148, Resulting Numbers: [148]
148,73 unequal: No Solution
Exploring Operation: 66*82=5412, Resulting Numbers: [5412]
5412,73 unequal: No Solution
Exploring Operation: 82-66=16, Resulting Numbers: [16]
16,73 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 #0,0,0
Current State: 73:[97, 81], Operations: ['98-1=97', '66+15=81']
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 97*81=7857, Resulting Numbers: [7857]
7857,73 unequal: No Solution
Exploring Operation: 97+81=178, Resulting Numbers: [178]
178,73 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 #0,0,1
Current State: 73:[97, 51], Operations: ['98-1=97', '66-15=51']
Exploring Operation: 97-51=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 97*51=4947, Resulting Numbers: [4947]
4947,73 unequal: No Solution
Exploring Operation: 97+51=148, Resulting Numbers: [148]
148,73 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: 73:[66, 1, 83], Operations: ['98-15=83']
Exploring Operation: 66*1=66, Resulting Numbers: [83, 66]
Generated Node #0,1,0: 73:[83, 66] Operation: 66*1=66
Exploring Operation: 83-1=82, Resulting Numbers: [66, 82]
Generated Node #0,1,1: 73:[66, 82] Operation: 83-1=82
Exploring Operation: 66+1=67, Resulting Numbers: [83, 67]
Generated Node #0,1,2: 73:[83, 67] Operation: 66+1=67
Moving to Node #0,2
Current State: 73:[98, 15, 67], Operations: ['66+1=67']
Exploring Operation: 98-15=83, Resulting Numbers: [67, 83]
Generated Node #0,2,0: 73:[67, 83] Operation: 98-15=83
Exploring Operation: 15+67=82, Resulting Numbers: [98, 82]
Generated Node #0,2,1: 73:[98, 82] Operation: 15+67=82
Exploring Operation: 98+15=113, Resulting Numbers: [67, 113]
Generated Node #0,2,2: 73:[67, 113] Operation: 98+15=113
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[67, 83], Operations: ['66+1=67', '98-15=83']
Exploring Operation: 67*83=5561, Resulting Numbers: [5561]
5561,73 unequal: No Solution
Exploring Operation: 83-67=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 67+83=150, Resulting Numbers: [150]
150,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 73:[98, 82], Operations: ['66+1=67', '15+67=82']
Exploring Operation: 98-82=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 98+82=180, Resulting Numbers: [180]
180,73 unequal: No Solution
Exploring Operation: 98*82=8036, Resulting Numbers: [8036]
8036,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 73:[67, 113], Operations: ['66+1=67', '98+15=113']
Exploring Operation: 67*113=7571, Resulting Numbers: [7571]
7571,73 unequal: No Solution
Exploring Operation: 113-67=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 67+113=180, Resulting Numbers: [180]
180,73 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: 73:[66, 82], Operations: ['98-15=83', '83-1=82']
Exploring Operation: 66+82=148, Resulting Numbers: [148]
148,73 unequal: No Solution
Exploring Operation: 66*82=5412, Resulting Numbers: [5412]
5412,73 unequal: No Solution
Exploring Operation: 82-66=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[83, 67], Operations: ['98-15=83', '66+1=67']
Exploring Operation: 83-67=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 83*67=5561, Resulting Numbers: [5561]
5561,73 unequal: No Solution
Exploring Operation: 83+67=150, Resulting Numbers: [150]
150,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[83, 66], Operations: ['98-15=83', '66*1=66']
Exploring Operation: 83-66=17, Resulting Numbers: [17]
17,73 unequal: No Solution
Exploring Operation: 83+66=149, Resulting Numbers: [149]
149,73 unequal: No Solution
Exploring Operation: 83*66=5478, Resulting Numbers: [5478]
5478,73 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
24,
9,
6,
93
] | 57 | [
"24*9=216",
"216/6=36",
"93-36=57"
] | Current State: 57:[24, 9, 6, 93], Operations: []
Exploring Operation: 24*9=216, Resulting Numbers: [6, 93, 216]
Generated Node #2: [6, 93, 216] from Operation: 24*9=216
Current State: 57:[6, 93, 216], Operations: ['24*9=216']
Exploring Operation: 216/6=36, Resulting Numbers: [93, 36]
Generated Node #3: [93, 36] from Operation: 216/6=36
Current State: 57:[93, 36], Operations: ['24*9=216', '216/6=36']
Exploring Operation: 93-36=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[24, 9, 6, 93], Operations: []
Exploring Operation: 24-9=15, Resulting Numbers: [6, 93, 15]
Generated Node #0,0: 57:[6, 93, 15] Operation: 24-9=15
Exploring Operation: 93-24=69, Resulting Numbers: [9, 6, 69]
Generated Node #0,1: 57:[9, 6, 69] Operation: 93-24=69
Exploring Operation: 9-6=3, Resulting Numbers: [24, 93, 3]
Generated Node #0,2: 57:[24, 93, 3] Operation: 9-6=3
Exploring Operation: 93-6=87, Resulting Numbers: [24, 9, 87]
Generated Node #0,3: 57:[24, 9, 87] Operation: 93-6=87
Exploring Operation: 93-9=84, Resulting Numbers: [24, 6, 84]
Generated Node #0,4: 57:[24, 6, 84] Operation: 93-9=84
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[9, 6, 69], Operations: ['93-24=69']
Exploring Operation: 9+6=15, Resulting Numbers: [69, 15]
Generated Node #0,1,0: 57:[69, 15] Operation: 9+6=15
Exploring Operation: 9*6=54, Resulting Numbers: [69, 54]
Generated Node #0,1,1: 57:[69, 54] Operation: 9*6=54
Exploring Operation: 69-6=63, Resulting Numbers: [9, 63]
Generated Node #0,1,2: 57:[9, 63] Operation: 69-6=63
Exploring Operation: 9-6=3, Resulting Numbers: [69, 3]
Generated Node #0,1,3: 57:[69, 3] Operation: 9-6=3
Exploring Operation: 69-9=60, Resulting Numbers: [6, 60]
Generated Node #0,1,4: 57:[6, 60] Operation: 69-9=60
Moving to Node #0,1,4
Current State: 57:[6, 60], Operations: ['93-24=69', '69-9=60']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 6*60=360, Resulting Numbers: [360]
360,57 unequal: No Solution
Exploring Operation: 6+60=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Moving to Node #0,1,3
Current State: 57:[69, 3], Operations: ['93-24=69', '9-6=3']
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,57 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Moving to Node #0,1,2
Current State: 57:[9, 63], Operations: ['93-24=69', '69-6=63']
Exploring Operation: 63/9=7, Resulting Numbers: [7]
7,57 unequal: No Solution
Exploring Operation: 9*63=567, Resulting Numbers: [567]
567,57 unequal: No Solution
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 9+63=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[69, 54], Operations: ['93-24=69', '9*6=54']
Exploring Operation: 69+54=123, Resulting Numbers: [123]
123,57 unequal: No Solution
Exploring Operation: 69*54=3726, Resulting Numbers: [3726]
3726,57 unequal: No Solution
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,57 unequal: No Solution
Moving to Node #0,1,0
Current State: 57:[69, 15], Operations: ['93-24=69', '9+6=15']
Exploring Operation: 69+15=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Exploring Operation: 69-15=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 69*15=1035, Resulting Numbers: [1035]
1035,57 unequal: No Solution
No 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: 57:[24, 6, 84], Operations: ['93-9=84']
Exploring Operation: 84-24=60, Resulting Numbers: [6, 60]
Generated Node #0,4,0: 57:[6, 60] Operation: 84-24=60
Exploring Operation: 84-6=78, Resulting Numbers: [24, 78]
Generated Node #0,4,1: 57:[24, 78] Operation: 84-6=78
Exploring Operation: 84/6=14, Resulting Numbers: [24, 14]
Generated Node #0,4,2: 57:[24, 14] Operation: 84/6=14
Exploring Operation: 24/6=4, Resulting Numbers: [84, 4]
Generated Node #0,4,3: 57:[84, 4] Operation: 24/6=4
Exploring Operation: 24-6=18, Resulting Numbers: [84, 18]
Generated Node #0,4,4: 57:[84, 18] Operation: 24-6=18
Moving to Node #0,4,0
Current State: 57:[6, 60], Operations: ['93-9=84', '84-24=60']
Exploring Operation: 6+60=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 6*60=360, Resulting Numbers: [360]
360,57 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Moving to Node #0,4,2
Current State: 57:[24, 14], Operations: ['93-9=84', '84/6=14']
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Exploring Operation: 24*14=336, Resulting Numbers: [336]
336,57 unequal: No Solution
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Moving to Node #0,4,1
Current State: 57:[24, 78], Operations: ['93-9=84', '84-6=78']
Exploring Operation: 24+78=102, Resulting Numbers: [102]
102,57 unequal: No Solution
Exploring Operation: 78-24=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 24*78=1872, Resulting Numbers: [1872]
1872,57 unequal: No Solution
Moving to Node #0,4,3
Current State: 57:[84, 4], Operations: ['93-9=84', '24/6=4']
Exploring Operation: 84+4=88, Resulting Numbers: [88]
88,57 unequal: No Solution
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,57 unequal: No Solution
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,57 unequal: No Solution
Exploring Operation: 84*4=336, Resulting Numbers: [336]
336,57 unequal: No Solution
Moving to Node #0,4,4
Current State: 57:[84, 18], Operations: ['93-9=84', '24-6=18']
Exploring Operation: 84-18=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Exploring Operation: 84*18=1512, Resulting Numbers: [1512]
1512,57 unequal: No Solution
Exploring Operation: 84+18=102, Resulting Numbers: [102]
102,57 unequal: No Solution
No 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: 57:[24, 93, 3], Operations: ['9-6=3']
Exploring Operation: 93/3=31, Resulting Numbers: [24, 31]
Generated Node #0,2,0: 57:[24, 31] Operation: 93/3=31
Exploring Operation: 93-3=90, Resulting Numbers: [24, 90]
Generated Node #0,2,1: 57:[24, 90] Operation: 93-3=90
Exploring Operation: 24/3=8, Resulting Numbers: [93, 8]
Generated Node #0,2,2: 57:[93, 8] Operation: 24/3=8
Exploring Operation: 93-24=69, Resulting Numbers: [3, 69]
Generated Node #0,2,3: 57:[3, 69] Operation: 93-24=69
Exploring Operation: 24-3=21, Resulting Numbers: [93, 21]
Generated Node #0,2,4: 57:[93, 21] Operation: 24-3=21
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 57:[3, 69], Operations: ['9-6=3', '93-24=69']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Exploring Operation: 3*69=207, Resulting Numbers: [207]
207,57 unequal: No Solution
Exploring Operation: 3+69=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,57 unequal: No Solution
No 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: 57:[24, 31], Operations: ['9-6=3', '93/3=31']
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,57 unequal: No Solution
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,57 unequal: No Solution
Exploring Operation: 24*31=744, Resulting Numbers: [744]
744,57 unequal: No Solution
No 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: 57:[24, 90], Operations: ['9-6=3', '93-3=90']
Exploring Operation: 90-24=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Exploring Operation: 24+90=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 24*90=2160, Resulting Numbers: [2160]
2160,57 unequal: No Solution
No 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: 57:[93, 21], Operations: ['9-6=3', '24-3=21']
Exploring Operation: 93+21=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 93-21=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Exploring Operation: 93*21=1953, Resulting Numbers: [1953]
1953,57 unequal: No Solution
No 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: 57:[93, 8], Operations: ['9-6=3', '24/3=8']
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,57 unequal: No Solution
Exploring Operation: 93+8=101, Resulting Numbers: [101]
101,57 unequal: No Solution
Exploring Operation: 93*8=744, Resulting Numbers: [744]
744,57 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: 57:[24, 9, 87], Operations: ['93-6=87']
Exploring Operation: 9+87=96, Resulting Numbers: [24, 96]
Generated Node #0,3,0: 57:[24, 96] Operation: 9+87=96
Exploring Operation: 87-9=78, Resulting Numbers: [24, 78]
Generated Node #0,3,1: 57:[24, 78] Operation: 87-9=78
Exploring Operation: 24-9=15, Resulting Numbers: [87, 15]
Generated Node #0,3,2: 57:[87, 15] Operation: 24-9=15
Exploring Operation: 87-24=63, Resulting Numbers: [9, 63]
Generated Node #0,3,3: 57:[9, 63] Operation: 87-24=63
Exploring Operation: 24+9=33, Resulting Numbers: [87, 33]
Generated Node #0,3,4: 57:[87, 33] Operation: 24+9=33
Moving to Node #0,3,3
Current State: 57:[9, 63], Operations: ['93-6=87', '87-24=63']
Exploring Operation: 9*63=567, Resulting Numbers: [567]
567,57 unequal: No Solution
Exploring Operation: 9+63=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Exploring Operation: 63/9=7, Resulting Numbers: [7]
7,57 unequal: No Solution
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Moving to Node #0,3,1
Current State: 57:[24, 78], Operations: ['93-6=87', '87-9=78']
Exploring Operation: 24+78=102, Resulting Numbers: [102]
102,57 unequal: No Solution
Exploring Operation: 78-24=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 24*78=1872, Resulting Numbers: [1872]
1872,57 unequal: No Solution
Moving to Node #0,3,2
Current State: 57:[87, 15], Operations: ['93-6=87', '24-9=15']
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Exploring Operation: 87+15=102, Resulting Numbers: [102]
102,57 unequal: No Solution
Exploring Operation: 87*15=1305, Resulting Numbers: [1305]
1305,57 unequal: No Solution
Moving to Node #0,3,0
Current State: 57:[24, 96], Operations: ['93-6=87', '9+87=96']
Exploring Operation: 96/24=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 96-24=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Exploring Operation: 24+96=120, Resulting Numbers: [120]
120,57 unequal: No Solution
Exploring Operation: 24*96=2304, Resulting Numbers: [2304]
2304,57 unequal: No Solution
Moving to Node #0,3,4
Current State: 57:[87, 33], Operations: ['93-6=87', '24+9=33']
Exploring Operation: 87+33=120, Resulting Numbers: [120]
120,57 unequal: No Solution
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 87*33=2871, Resulting Numbers: [2871]
2871,57 unequal: No Solution
No 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: 57:[6, 93, 15], Operations: ['24-9=15']
Exploring Operation: 93-6=87, Resulting Numbers: [15, 87]
Generated Node #0,0,0: 57:[15, 87] Operation: 93-6=87
Exploring Operation: 93-15=78, Resulting Numbers: [6, 78]
Generated Node #0,0,1: 57:[6, 78] Operation: 93-15=78
Exploring Operation: 6+15=21, Resulting Numbers: [93, 21]
Generated Node #0,0,2: 57:[93, 21] Operation: 6+15=21
Exploring Operation: 15-6=9, Resulting Numbers: [93, 9]
Generated Node #0,0,3: 57:[93, 9] Operation: 15-6=9
Exploring Operation: 6+93=99, Resulting Numbers: [15, 99]
Generated Node #0,0,4: 57:[15, 99] Operation: 6+93=99
Moving to Node #0,0,1
Current State: 57:[6, 78], Operations: ['24-9=15', '93-15=78']
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Exploring Operation: 6*78=468, Resulting Numbers: [468]
468,57 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[15, 87], Operations: ['24-9=15', '93-6=87']
Exploring Operation: 15+87=102, Resulting Numbers: [102]
102,57 unequal: No Solution
Exploring Operation: 15*87=1305, Resulting Numbers: [1305]
1305,57 unequal: No Solution
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Moving to Node #0,0,2
Current State: 57:[93, 21], Operations: ['24-9=15', '6+15=21']
Exploring Operation: 93+21=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 93*21=1953, Resulting Numbers: [1953]
1953,57 unequal: No Solution
Exploring Operation: 93-21=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Moving to Node #0,0,3
Current State: 57:[93, 9], Operations: ['24-9=15', '15-6=9']
Exploring Operation: 93+9=102, Resulting Numbers: [102]
102,57 unequal: No Solution
Exploring Operation: 93*9=837, Resulting Numbers: [837]
837,57 unequal: No Solution
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Moving to Node #0,0,4
Current State: 57:[15, 99], Operations: ['24-9=15', '6+93=99']
Exploring Operation: 15+99=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 15*99=1485, Resulting Numbers: [1485]
1485,57 unequal: No Solution
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,57 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 |
[
13,
12,
27,
33
] | 36 | [
"12+27=39",
"39/13=3",
"33+3=36"
] | Current State: 36:[13, 12, 27, 33], Operations: []
Exploring Operation: 12+27=39, Resulting Numbers: [13, 33, 39]
Generated Node #2: [13, 33, 39] from Operation: 12+27=39
Current State: 36:[13, 33, 39], Operations: ['12+27=39']
Exploring Operation: 39/13=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 39/13=3
Current State: 36:[33, 3], Operations: ['12+27=39', '39/13=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[13, 12, 27, 33], Operations: []
Exploring Operation: 27-13=14, Resulting Numbers: [12, 33, 14]
Generated Node #0,0: 36:[12, 33, 14] Operation: 27-13=14
Exploring Operation: 33-27=6, Resulting Numbers: [13, 12, 6]
Generated Node #0,1: 36:[13, 12, 6] Operation: 33-27=6
Exploring Operation: 13+27=40, Resulting Numbers: [12, 33, 40]
Generated Node #0,2: 36:[12, 33, 40] Operation: 13+27=40
Moving to Node #0,1
Current State: 36:[13, 12, 6], Operations: ['33-27=6']
Exploring Operation: 13-12=1, Resulting Numbers: [6, 1]
Generated Node #0,1,0: 36:[6, 1] Operation: 13-12=1
Exploring Operation: 13+6=19, Resulting Numbers: [12, 19]
Generated Node #0,1,1: 36:[12, 19] Operation: 13+6=19
Exploring Operation: 13-6=7, Resulting Numbers: [12, 7]
Generated Node #0,1,2: 36:[12, 7] Operation: 13-6=7
Moving to Node #0,0
Current State: 36:[12, 33, 14], Operations: ['27-13=14']
Exploring Operation: 33-12=21, Resulting Numbers: [14, 21]
Generated Node #0,0,0: 36:[14, 21] Operation: 33-12=21
Exploring Operation: 33-14=19, Resulting Numbers: [12, 19]
Generated Node #0,0,1: 36:[12, 19] Operation: 33-14=19
Exploring Operation: 14-12=2, Resulting Numbers: [33, 2]
Generated Node #0,0,2: 36:[33, 2] Operation: 14-12=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 36:[12, 19], Operations: ['27-13=14', '33-14=19']
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,36 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,36 unequal: No Solution
No 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: 36:[33, 2], Operations: ['27-13=14', '14-12=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,36 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,36 unequal: No Solution
No 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: 36:[14, 21], Operations: ['27-13=14', '33-12=21']
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 14+21=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 14*21=294, Resulting Numbers: [294]
294,36 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: 36:[12, 33, 40], Operations: ['13+27=40']
Exploring Operation: 40-33=7, Resulting Numbers: [12, 7]
Generated Node #0,2,0: 36:[12, 7] Operation: 40-33=7
Exploring Operation: 40-12=28, Resulting Numbers: [33, 28]
Generated Node #0,2,1: 36:[33, 28] Operation: 40-12=28
Exploring Operation: 33-12=21, Resulting Numbers: [40, 21]
Generated Node #0,2,2: 36:[40, 21] Operation: 33-12=21
Moving to Node #0,1,0
Current State: 36:[6, 1], Operations: ['33-27=6', '13-12=1']
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[12, 7], Operations: ['33-27=6', '13-6=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,36 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,36 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[12, 19], Operations: ['33-27=6', '13+6=19']
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,36 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,36 unequal: No Solution
Moving to Node #0,2,0
Current State: 36:[12, 7], Operations: ['13+27=40', '40-33=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,36 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,36 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[40, 21], Operations: ['13+27=40', '33-12=21']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,36 unequal: No Solution
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,36 unequal: No Solution
Exploring Operation: 40*21=840, Resulting Numbers: [840]
840,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[33, 28], Operations: ['13+27=40', '40-12=28']
Exploring Operation: 33*28=924, Resulting Numbers: [924]
924,36 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,36 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
21,
94,
16,
79
] | 75 | [
"21-16=5",
"94-79=15",
"5*15=75"
] | Current State: 75:[21, 94, 16, 79], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [94, 79, 5]
Generated Node #2: [94, 79, 5] from Operation: 21-16=5
Current State: 75:[94, 79, 5], Operations: ['21-16=5']
Exploring Operation: 94-79=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 94-79=15
Current State: 75:[5, 15], Operations: ['21-16=5', '94-79=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[21, 94, 16, 79], Operations: []
Exploring Operation: 94-79=15, Resulting Numbers: [21, 16, 15]
Generated Node #0,0: 75:[21, 16, 15] Operation: 94-79=15
Exploring Operation: 21-16=5, Resulting Numbers: [94, 79, 5]
Generated Node #0,1: 75:[94, 79, 5] Operation: 21-16=5
Exploring Operation: 21+16=37, Resulting Numbers: [94, 79, 37]
Generated Node #0,2: 75:[94, 79, 37] Operation: 21+16=37
Exploring Operation: 94-21=73, Resulting Numbers: [16, 79, 73]
Generated Node #0,3: 75:[16, 79, 73] Operation: 94-21=73
Exploring Operation: 94-16=78, Resulting Numbers: [21, 79, 78]
Generated Node #0,4: 75:[21, 79, 78] Operation: 94-16=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[21, 16, 15], Operations: ['94-79=15']
Exploring Operation: 16+15=31, Resulting Numbers: [21, 31]
Generated Node #0,0,0: 75:[21, 31] Operation: 16+15=31
Exploring Operation: 16-15=1, Resulting Numbers: [21, 1]
Generated Node #0,0,1: 75:[21, 1] Operation: 16-15=1
Exploring Operation: 21+16=37, Resulting Numbers: [15, 37]
Generated Node #0,0,2: 75:[15, 37] Operation: 21+16=37
Exploring Operation: 21-15=6, Resulting Numbers: [16, 6]
Generated Node #0,0,3: 75:[16, 6] Operation: 21-15=6
Exploring Operation: 21-16=5, Resulting Numbers: [15, 5]
Generated Node #0,0,4: 75:[15, 5] Operation: 21-16=5
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 75:[15, 5], Operations: ['94-79=15', '21-16=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[21, 94, 16, 79], Operations: []
Exploring Operation: 94-79=15, Resulting Numbers: [21, 16, 15]
Generated Node #0,0: 75:[21, 16, 15] Operation: 94-79=15
Moving to Node #0,0
Current State: 75:[21, 16, 15], Operations: ['94-79=15']
Exploring Operation: 21-16=5, Resulting Numbers: [15, 5]
Generated Node #0,0,4: 75:[15, 5] Operation: 21-16=5
Moving to Node #0,0,4
Current State: 75:[15, 5], Operations: ['94-79=15', '21-16=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
84,
28,
7,
86
] | 23 | [
"84-28=56",
"86-7=79",
"79-56=23"
] | Current State: 23:[84, 28, 7, 86], Operations: []
Exploring Operation: 84-28=56, Resulting Numbers: [7, 86, 56]
Generated Node #2: [7, 86, 56] from Operation: 84-28=56
Current State: 23:[7, 86, 56], Operations: ['84-28=56']
Exploring Operation: 86-7=79, Resulting Numbers: [56, 79]
Generated Node #3: [56, 79] from Operation: 86-7=79
Current State: 23:[56, 79], Operations: ['84-28=56', '86-7=79']
Exploring Operation: 79-56=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[84, 28, 7, 86], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [28, 7, 2]
Generated Node #0,0: 23:[28, 7, 2] Operation: 86-84=2
Moving to Node #0,0
Current State: 23:[28, 7, 2], Operations: ['86-84=2']
Exploring Operation: 7*2=14, Resulting Numbers: [28, 14]
Generated Node #0,0,0: 23:[28, 14] Operation: 7*2=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[28, 14], Operations: ['86-84=2', '7*2=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,23 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 |
[
73,
78,
39,
97
] | 63 | [
"78-73=5",
"97-39=58",
"5+58=63"
] | Current State: 63:[73, 78, 39, 97], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [39, 97, 5]
Generated Node #2: [39, 97, 5] from Operation: 78-73=5
Current State: 63:[39, 97, 5], Operations: ['78-73=5']
Exploring Operation: 97-39=58, Resulting Numbers: [5, 58]
Generated Node #3: [5, 58] from Operation: 97-39=58
Current State: 63:[5, 58], Operations: ['78-73=5', '97-39=58']
Exploring Operation: 5+58=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[73, 78, 39, 97], Operations: []
Exploring Operation: 97-39=58, Resulting Numbers: [73, 78, 58]
Generated Node #0,0: 63:[73, 78, 58] Operation: 97-39=58
Exploring Operation: 97-78=19, Resulting Numbers: [73, 39, 19]
Generated Node #0,1: 63:[73, 39, 19] Operation: 97-78=19
Moving to Node #0,0
Current State: 63:[73, 78, 58], Operations: ['97-39=58']
Exploring Operation: 78-73=5, Resulting Numbers: [58, 5]
Generated Node #0,0,0: 63:[58, 5] Operation: 78-73=5
Exploring Operation: 78-58=20, Resulting Numbers: [73, 20]
Generated Node #0,0,1: 63:[73, 20] Operation: 78-58=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[58, 5], Operations: ['97-39=58', '78-73=5']
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[73, 78, 39, 97], Operations: []
Exploring Operation: 97-39=58, Resulting Numbers: [73, 78, 58]
Generated Node #0,0: 63:[73, 78, 58] Operation: 97-39=58
Moving to Node #0,0
Current State: 63:[73, 78, 58], Operations: ['97-39=58']
Exploring Operation: 78-73=5, Resulting Numbers: [58, 5]
Generated Node #0,0,0: 63:[58, 5] Operation: 78-73=5
Moving to Node #0,0,0
Current State: 63:[58, 5], Operations: ['97-39=58', '78-73=5']
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
65,
58,
20,
46
] | 27 | [
"65*20=1300",
"1300-58=1242",
"1242/46=27"
] | Current State: 27:[65, 58, 20, 46], Operations: []
Exploring Operation: 65*20=1300, Resulting Numbers: [58, 46, 1300]
Generated Node #2: [58, 46, 1300] from Operation: 65*20=1300
Current State: 27:[58, 46, 1300], Operations: ['65*20=1300']
Exploring Operation: 1300-58=1242, Resulting Numbers: [46, 1242]
Generated Node #3: [46, 1242] from Operation: 1300-58=1242
Current State: 27:[46, 1242], Operations: ['65*20=1300', '1300-58=1242']
Exploring Operation: 1242/46=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[65, 58, 20, 46], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [20, 46, 7]
Generated Node #0,0: 27:[20, 46, 7] Operation: 65-58=7
Exploring Operation: 65-46=19, Resulting Numbers: [58, 20, 19]
Generated Node #0,1: 27:[58, 20, 19] Operation: 65-46=19
Exploring Operation: 58-46=12, Resulting Numbers: [65, 20, 12]
Generated Node #0,2: 27:[65, 20, 12] Operation: 58-46=12
Exploring Operation: 65-20=45, Resulting Numbers: [58, 46, 45]
Generated Node #0,3: 27:[58, 46, 45] Operation: 65-20=45
Moving to Node #0,0
Current State: 27:[20, 46, 7], Operations: ['65-58=7']
Exploring Operation: 46-7=39, Resulting Numbers: [20, 39]
Generated Node #0,0,0: 27:[20, 39] Operation: 46-7=39
Exploring Operation: 46-20=26, Resulting Numbers: [7, 26]
Generated Node #0,0,1: 27:[7, 26] Operation: 46-20=26
Exploring Operation: 20+7=27, Resulting Numbers: [46, 27]
Generated Node #0,0,2: 27:[46, 27] Operation: 20+7=27
Exploring Operation: 20-7=13, Resulting Numbers: [46, 13]
Generated Node #0,0,3: 27:[46, 13] Operation: 20-7=13
Moving to Node #0,1
Current State: 27:[58, 20, 19], Operations: ['65-46=19']
Exploring Operation: 20-19=1, Resulting Numbers: [58, 1]
Generated Node #0,1,0: 27:[58, 1] Operation: 20-19=1
Exploring Operation: 58-19=39, Resulting Numbers: [20, 39]
Generated Node #0,1,1: 27:[20, 39] Operation: 58-19=39
Exploring Operation: 20+19=39, Resulting Numbers: [58, 39]
Generated Node #0,1,2: 27:[58, 39] Operation: 20+19=39
Exploring Operation: 58-20=38, Resulting Numbers: [19, 38]
Generated Node #0,1,3: 27:[19, 38] Operation: 58-20=38
Moving to Node #0,2
Current State: 27:[65, 20, 12], Operations: ['58-46=12']
Exploring Operation: 20+12=32, Resulting Numbers: [65, 32]
Generated Node #0,2,0: 27:[65, 32] Operation: 20+12=32
Exploring Operation: 65-12=53, Resulting Numbers: [20, 53]
Generated Node #0,2,1: 27:[20, 53] Operation: 65-12=53
Exploring Operation: 65-20=45, Resulting Numbers: [12, 45]
Generated Node #0,2,2: 27:[12, 45] Operation: 65-20=45
Exploring Operation: 20-12=8, Resulting Numbers: [65, 8]
Generated Node #0,2,3: 27:[65, 8] Operation: 20-12=8
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 27:[12, 45], Operations: ['58-46=12', '65-20=45']
Exploring Operation: 12*45=540, Resulting Numbers: [540]
540,27 unequal: No Solution
Exploring Operation: 12+45=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,27 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 #0,2,1
Current State: 27:[20, 53], Operations: ['58-46=12', '65-12=53']
Exploring Operation: 20*53=1060, Resulting Numbers: [1060]
1060,27 unequal: No Solution
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 20+53=73, Resulting Numbers: [73]
73,27 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 #0,2,3
Current State: 27:[65, 8], Operations: ['58-46=12', '20-12=8']
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Exploring Operation: 65+8=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 65*8=520, Resulting Numbers: [520]
520,27 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 #0,2,0
Current State: 27:[65, 32], Operations: ['58-46=12', '20+12=32']
Exploring Operation: 65*32=2080, Resulting Numbers: [2080]
2080,27 unequal: No Solution
Exploring Operation: 65-32=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 65+32=97, Resulting Numbers: [97]
97,27 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: 27:[58, 46, 45], Operations: ['65-20=45']
Exploring Operation: 46-45=1, Resulting Numbers: [58, 1]
Generated Node #0,3,0: 27:[58, 1] Operation: 46-45=1
Exploring Operation: 58+46=104, Resulting Numbers: [45, 104]
Generated Node #0,3,1: 27:[45, 104] Operation: 58+46=104
Exploring Operation: 58-45=13, Resulting Numbers: [46, 13]
Generated Node #0,3,2: 27:[46, 13] Operation: 58-45=13
Exploring Operation: 58-46=12, Resulting Numbers: [45, 12]
Generated Node #0,3,3: 27:[45, 12] Operation: 58-46=12
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 27:[45, 12], Operations: ['65-20=45', '58-46=12']
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 45+12=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Exploring Operation: 45*12=540, Resulting Numbers: [540]
540,27 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 #0,3,2
Current State: 27:[46, 13], Operations: ['65-20=45', '58-45=13']
Exploring Operation: 46+13=59, Resulting Numbers: [59]
59,27 unequal: No Solution
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 46*13=598, Resulting Numbers: [598]
598,27 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 #0,3,0
Current State: 27:[58, 1], Operations: ['65-20=45', '46-45=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,27 unequal: No Solution
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,27 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 #0,3,1
Current State: 27:[45, 104], Operations: ['65-20=45', '58+46=104']
Exploring Operation: 45*104=4680, Resulting Numbers: [4680]
4680,27 unequal: No Solution
Exploring Operation: 104-45=59, Resulting Numbers: [59]
59,27 unequal: No Solution
Exploring Operation: 45+104=149, Resulting Numbers: [149]
149,27 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: 27:[7, 26], Operations: ['65-58=7', '46-20=26']
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 7*26=182, Resulting Numbers: [182]
182,27 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[46, 27], Operations: ['65-58=7', '20+7=27']
Exploring Operation: 46+27=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 46*27=1242, Resulting Numbers: [1242]
1242,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[19, 38], Operations: ['65-46=19', '58-20=38']
Exploring Operation: 19+38=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 19*38=722, Resulting Numbers: [722]
722,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[20, 39], Operations: ['65-58=7', '46-7=39']
Exploring Operation: 20*39=780, Resulting Numbers: [780]
780,27 unequal: No Solution
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,27 unequal: No Solution
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[20, 39], Operations: ['65-46=19', '58-19=39']
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,27 unequal: No Solution
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 20*39=780, Resulting Numbers: [780]
780,27 unequal: No Solution
Moving to Node #0,0,3
Current State: 27:[46, 13], Operations: ['65-58=7', '20-7=13']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 46*13=598, Resulting Numbers: [598]
598,27 unequal: No Solution
Exploring Operation: 46+13=59, Resulting Numbers: [59]
59,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[58, 1], Operations: ['65-46=19', '20-19=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,27 unequal: No Solution
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Moving to Node #0,1,2
Current State: 27:[58, 39], Operations: ['65-46=19', '20+19=39']
Exploring Operation: 58+39=97, Resulting Numbers: [97]
97,27 unequal: No Solution
Exploring Operation: 58*39=2262, Resulting Numbers: [2262]
2262,27 unequal: No Solution
Exploring Operation: 58-39=19, Resulting Numbers: [19]
19,27 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
4,
78,
52,
80
] | 85 | [
"80-52=28",
"28/4=7",
"78+7=85"
] | Current State: 85:[4, 78, 52, 80], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [4, 78, 28]
Generated Node #2: [4, 78, 28] from Operation: 80-52=28
Current State: 85:[4, 78, 28], Operations: ['80-52=28']
Exploring Operation: 28/4=7, Resulting Numbers: [78, 7]
Generated Node #3: [78, 7] from Operation: 28/4=7
Current State: 85:[78, 7], Operations: ['80-52=28', '28/4=7']
Exploring Operation: 78+7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[4, 78, 52, 80], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [4, 52, 2]
Generated Node #0,0: 85:[4, 52, 2] Operation: 80-78=2
Exploring Operation: 80-52=28, Resulting Numbers: [4, 78, 28]
Generated Node #0,1: 85:[4, 78, 28] Operation: 80-52=28
Exploring Operation: 78-52=26, Resulting Numbers: [4, 80, 26]
Generated Node #0,2: 85:[4, 80, 26] Operation: 78-52=26
Exploring Operation: 52/4=13, Resulting Numbers: [78, 80, 13]
Generated Node #0,3: 85:[78, 80, 13] Operation: 52/4=13
Exploring Operation: 4+78=82, Resulting Numbers: [52, 80, 82]
Generated Node #0,4: 85:[52, 80, 82] Operation: 4+78=82
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[4, 80, 26], Operations: ['78-52=26']
Exploring Operation: 4+80=84, Resulting Numbers: [26, 84]
Generated Node #0,2,0: 85:[26, 84] Operation: 4+80=84
Exploring Operation: 80/4=20, Resulting Numbers: [26, 20]
Generated Node #0,2,1: 85:[26, 20] Operation: 80/4=20
Exploring Operation: 4+26=30, Resulting Numbers: [80, 30]
Generated Node #0,2,2: 85:[80, 30] Operation: 4+26=30
Exploring Operation: 80-4=76, Resulting Numbers: [26, 76]
Generated Node #0,2,3: 85:[26, 76] Operation: 80-4=76
Exploring Operation: 26-4=22, Resulting Numbers: [80, 22]
Generated Node #0,2,4: 85:[80, 22] Operation: 26-4=22
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 85:[26, 84], Operations: ['78-52=26', '4+80=84']
Exploring Operation: 26*84=2184, Resulting Numbers: [2184]
2184,85 unequal: No Solution
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,85 unequal: No Solution
Exploring Operation: 26+84=110, Resulting Numbers: [110]
110,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 85:[80, 22], Operations: ['78-52=26', '26-4=22']
Exploring Operation: 80+22=102, Resulting Numbers: [102]
102,85 unequal: No Solution
Exploring Operation: 80-22=58, Resulting Numbers: [58]
58,85 unequal: No Solution
Exploring Operation: 80*22=1760, Resulting Numbers: [1760]
1760,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 85:[26, 20], Operations: ['78-52=26', '80/4=20']
Exploring Operation: 26+20=46, Resulting Numbers: [46]
46,85 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,85 unequal: No Solution
Exploring Operation: 26*20=520, Resulting Numbers: [520]
520,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 85:[80, 30], Operations: ['78-52=26', '4+26=30']
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,85 unequal: No Solution
Exploring Operation: 80*30=2400, Resulting Numbers: [2400]
2400,85 unequal: No Solution
Exploring Operation: 80+30=110, Resulting Numbers: [110]
110,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 85:[26, 76], Operations: ['78-52=26', '80-4=76']
Exploring Operation: 76-26=50, Resulting Numbers: [50]
50,85 unequal: No Solution
Exploring Operation: 26*76=1976, Resulting Numbers: [1976]
1976,85 unequal: No Solution
Exploring Operation: 26+76=102, Resulting Numbers: [102]
102,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[78, 80, 13], Operations: ['52/4=13']
Exploring Operation: 78-13=65, Resulting Numbers: [80, 65]
Generated Node #0,3,0: 85:[80, 65] Operation: 78-13=65
Exploring Operation: 78+13=91, Resulting Numbers: [80, 91]
Generated Node #0,3,1: 85:[80, 91] Operation: 78+13=91
Exploring Operation: 80+13=93, Resulting Numbers: [78, 93]
Generated Node #0,3,2: 85:[78, 93] Operation: 80+13=93
Exploring Operation: 80-78=2, Resulting Numbers: [13, 2]
Generated Node #0,3,3: 85:[13, 2] Operation: 80-78=2
Exploring Operation: 78/13=6, Resulting Numbers: [80, 6]
Generated Node #0,3,4: 85:[80, 6] Operation: 78/13=6
Moving to Node #0,3,4
Current State: 85:[80, 6], Operations: ['52/4=13', '78/13=6']
Exploring Operation: 80*6=480, Resulting Numbers: [480]
480,85 unequal: No Solution
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,85 unequal: No Solution
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,85 unequal: No Solution
Moving to Node #0,3,3
Current State: 85:[13, 2], Operations: ['52/4=13', '80-78=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,85 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,85 unequal: No Solution
Moving to Node #0,3,1
Current State: 85:[80, 91], Operations: ['52/4=13', '78+13=91']
Exploring Operation: 80*91=7280, Resulting Numbers: [7280]
7280,85 unequal: No Solution
Exploring Operation: 91-80=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 80+91=171, Resulting Numbers: [171]
171,85 unequal: No Solution
Moving to Node #0,3,2
Current State: 85:[78, 93], Operations: ['52/4=13', '80+13=93']
Exploring Operation: 78+93=171, Resulting Numbers: [171]
171,85 unequal: No Solution
Exploring Operation: 93-78=15, Resulting Numbers: [15]
15,85 unequal: No Solution
Exploring Operation: 78*93=7254, Resulting Numbers: [7254]
7254,85 unequal: No Solution
Moving to Node #0,3,0
Current State: 85:[80, 65], Operations: ['52/4=13', '78-13=65']
Exploring Operation: 80-65=15, Resulting Numbers: [15]
15,85 unequal: No Solution
Exploring Operation: 80*65=5200, Resulting Numbers: [5200]
5200,85 unequal: No Solution
Exploring Operation: 80+65=145, Resulting Numbers: [145]
145,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[4, 78, 28], Operations: ['80-52=28']
Exploring Operation: 4+78=82, Resulting Numbers: [28, 82]
Generated Node #0,1,0: 85:[28, 82] Operation: 4+78=82
Exploring Operation: 4+28=32, Resulting Numbers: [78, 32]
Generated Node #0,1,1: 85:[78, 32] Operation: 4+28=32
Exploring Operation: 28/4=7, Resulting Numbers: [78, 7]
Generated Node #0,1,2: 85:[78, 7] Operation: 28/4=7
Exploring Operation: 78-4=74, Resulting Numbers: [28, 74]
Generated Node #0,1,3: 85:[28, 74] Operation: 78-4=74
Exploring Operation: 28-4=24, Resulting Numbers: [78, 24]
Generated Node #0,1,4: 85:[78, 24] Operation: 28-4=24
Moving to Node #0,1,2
Current State: 85:[78, 7], Operations: ['80-52=28', '28/4=7']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,85 unequal: No Solution
Exploring Operation: 78*7=546, Resulting Numbers: [546]
546,85 unequal: No Solution
Exploring Operation: 78+7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[4, 78, 52, 80], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [4, 78, 28]
Generated Node #0,1: 85:[4, 78, 28] Operation: 80-52=28
Moving to Node #0,1
Current State: 85:[4, 78, 28], Operations: ['80-52=28']
Exploring Operation: 28/4=7, Resulting Numbers: [78, 7]
Generated Node #0,1,2: 85:[78, 7] Operation: 28/4=7
Moving to Node #0,1,2
Current State: 85:[78, 7], Operations: ['80-52=28', '28/4=7']
Exploring Operation: 78+7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.950521 | hs_5 | sum_heuristic |
[
87,
9,
71,
89
] | 85 | [
"89-71=18",
"18/9=2",
"87-2=85"
] | Current State: 85:[87, 9, 71, 89], Operations: []
Exploring Operation: 89-71=18, Resulting Numbers: [87, 9, 18]
Generated Node #2: [87, 9, 18] from Operation: 89-71=18
Current State: 85:[87, 9, 18], Operations: ['89-71=18']
Exploring Operation: 18/9=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 18/9=2
Current State: 85:[87, 2], Operations: ['89-71=18', '18/9=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[87, 9, 71, 89], Operations: []
Exploring Operation: 89-71=18, Resulting Numbers: [87, 9, 18]
Generated Node #0,0: 85:[87, 9, 18] Operation: 89-71=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[87, 9, 18], Operations: ['89-71=18']
Exploring Operation: 18/9=2, Resulting Numbers: [87, 2]
Generated Node #0,0,0: 85:[87, 2] Operation: 18/9=2
Moving to Node #0,0,0
Current State: 85:[87, 2], Operations: ['89-71=18', '18/9=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[87, 9, 71, 89], Operations: []
Exploring Operation: 89-71=18, Resulting Numbers: [87, 9, 18]
Generated Node #0,0: 85:[87, 9, 18] Operation: 89-71=18
Moving to Node #0,0
Current State: 85:[87, 9, 18], Operations: ['89-71=18']
Exploring Operation: 18/9=2, Resulting Numbers: [87, 2]
Generated Node #0,0,0: 85:[87, 2] Operation: 18/9=2
Moving to Node #0,0,0
Current State: 85:[87, 2], Operations: ['89-71=18', '18/9=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
74,
2,
14,
8
] | 82 | [
"74+2=76",
"14-8=6",
"76+6=82"
] | Current State: 82:[74, 2, 14, 8], Operations: []
Exploring Operation: 74+2=76, Resulting Numbers: [14, 8, 76]
Generated Node #2: [14, 8, 76] from Operation: 74+2=76
Current State: 82:[14, 8, 76], Operations: ['74+2=76']
Exploring Operation: 14-8=6, Resulting Numbers: [76, 6]
Generated Node #3: [76, 6] from Operation: 14-8=6
Current State: 82:[76, 6], Operations: ['74+2=76', '14-8=6']
Exploring Operation: 76+6=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[74, 2, 14, 8], Operations: []
Exploring Operation: 14/2=7, Resulting Numbers: [74, 8, 7]
Generated Node #0,0: 82:[74, 8, 7] Operation: 14/2=7
Exploring Operation: 74+8=82, Resulting Numbers: [2, 14, 82]
Generated Node #0,1: 82:[2, 14, 82] Operation: 74+8=82
Exploring Operation: 74/2=37, Resulting Numbers: [14, 8, 37]
Generated Node #0,2: 82:[14, 8, 37] Operation: 74/2=37
Exploring Operation: 14-8=6, Resulting Numbers: [74, 2, 6]
Generated Node #0,3: 82:[74, 2, 6] Operation: 14-8=6
Exploring Operation: 74+14=88, Resulting Numbers: [2, 8, 88]
Generated Node #0,4: 82:[2, 8, 88] Operation: 74+14=88
Moving to Node #0,1
Current State: 82:[2, 14, 82], Operations: ['74+8=82']
Exploring Operation: 14/2=7, Resulting Numbers: [82, 7]
Generated Node #0,1,0: 82:[82, 7] Operation: 14/2=7
Exploring Operation: 2*14=28, Resulting Numbers: [82, 28]
Generated Node #0,1,1: 82:[82, 28] Operation: 2*14=28
Exploring Operation: 82/2=41, Resulting Numbers: [14, 41]
Generated Node #0,1,2: 82:[14, 41] Operation: 82/2=41
Exploring Operation: 2+14=16, Resulting Numbers: [82, 16]
Generated Node #0,1,3: 82:[82, 16] Operation: 2+14=16
Exploring Operation: 14-2=12, Resulting Numbers: [82, 12]
Generated Node #0,1,4: 82:[82, 12] Operation: 14-2=12
Moving to Node #0,4
Current State: 82:[2, 8, 88], Operations: ['74+14=88']
Exploring Operation: 8/2=4, Resulting Numbers: [88, 4]
Generated Node #0,4,0: 82:[88, 4] Operation: 8/2=4
Exploring Operation: 8-2=6, Resulting Numbers: [88, 6]
Generated Node #0,4,1: 82:[88, 6] Operation: 8-2=6
Exploring Operation: 88-8=80, Resulting Numbers: [2, 80]
Generated Node #0,4,2: 82:[2, 80] Operation: 88-8=80
Exploring Operation: 88/8=11, Resulting Numbers: [2, 11]
Generated Node #0,4,3: 82:[2, 11] Operation: 88/8=11
Exploring Operation: 88/2=44, Resulting Numbers: [8, 44]
Generated Node #0,4,4: 82:[8, 44] Operation: 88/2=44
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 82:[2, 80], Operations: ['74+14=88', '88-8=80']
Exploring Operation: 2*80=160, Resulting Numbers: [160]
160,82 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,82 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 2+80=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[74, 2, 14, 8], Operations: []
Exploring Operation: 74+14=88, Resulting Numbers: [2, 8, 88]
Generated Node #0,4: 82:[2, 8, 88] Operation: 74+14=88
Moving to Node #0,4
Current State: 82:[2, 8, 88], Operations: ['74+14=88']
Exploring Operation: 88-8=80, Resulting Numbers: [2, 80]
Generated Node #0,4,2: 82:[2, 80] Operation: 88-8=80
Moving to Node #0,4,2
Current State: 82:[2, 80], Operations: ['74+14=88', '88-8=80']
Exploring Operation: 2+80=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
1,
90,
79,
77
] | 92 | [
"1*90=90",
"79-77=2",
"90+2=92"
] | Current State: 92:[1, 90, 79, 77], Operations: []
Exploring Operation: 1*90=90, Resulting Numbers: [79, 77, 90]
Generated Node #2: [79, 77, 90] from Operation: 1*90=90
Current State: 92:[79, 77, 90], Operations: ['1*90=90']
Exploring Operation: 79-77=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 79-77=2
Current State: 92:[90, 2], Operations: ['1*90=90', '79-77=2']
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[1, 90, 79, 77], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [1, 90, 2]
Generated Node #0,0: 92:[1, 90, 2] Operation: 79-77=2
Exploring Operation: 90-79=11, Resulting Numbers: [1, 77, 11]
Generated Node #0,1: 92:[1, 77, 11] Operation: 90-79=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[1, 90, 2], Operations: ['79-77=2']
Exploring Operation: 90+2=92, Resulting Numbers: [1, 92]
Generated Node #0,0,0: 92:[1, 92] Operation: 90+2=92
Exploring Operation: 1+90=91, Resulting Numbers: [2, 91]
Generated Node #0,0,1: 92:[2, 91] Operation: 1+90=91
Moving to Node #0,0,0
Current State: 92:[1, 92], Operations: ['79-77=2', '90+2=92']
Exploring Operation: 1*92=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[1, 90, 79, 77], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [1, 90, 2]
Generated Node #0,0: 92:[1, 90, 2] Operation: 79-77=2
Moving to Node #0,0
Current State: 92:[1, 90, 2], Operations: ['79-77=2']
Exploring Operation: 90+2=92, Resulting Numbers: [1, 92]
Generated Node #0,0,0: 92:[1, 92] Operation: 90+2=92
Moving to Node #0,0,0
Current State: 92:[1, 92], Operations: ['79-77=2', '90+2=92']
Exploring Operation: 1*92=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
79,
65,
92,
17
] | 56 | [
"79*65=5135",
"17+5135=5152",
"5152/92=56"
] | Current State: 56:[79, 65, 92, 17], Operations: []
Exploring Operation: 79*65=5135, Resulting Numbers: [92, 17, 5135]
Generated Node #2: [92, 17, 5135] from Operation: 79*65=5135
Current State: 56:[92, 17, 5135], Operations: ['79*65=5135']
Exploring Operation: 17+5135=5152, Resulting Numbers: [92, 5152]
Generated Node #3: [92, 5152] from Operation: 17+5135=5152
Current State: 56:[92, 5152], Operations: ['79*65=5135', '17+5135=5152']
Exploring Operation: 5152/92=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[79, 65, 92, 17], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [65, 17, 13]
Generated Node #0,0: 56:[65, 17, 13] Operation: 92-79=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[65, 17, 13], Operations: ['92-79=13']
Exploring Operation: 65/13=5, Resulting Numbers: [17, 5]
Generated Node #0,0,0: 56:[17, 5] Operation: 65/13=5
Moving to Node #0,0,0
Current State: 56:[17, 5], Operations: ['92-79=13', '65/13=5']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,56 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 |
[
18,
54,
41,
1
] | 76 | [
"54-18=36",
"41-1=40",
"36+40=76"
] | Current State: 76:[18, 54, 41, 1], Operations: []
Exploring Operation: 54-18=36, Resulting Numbers: [41, 1, 36]
Generated Node #2: [41, 1, 36] from Operation: 54-18=36
Current State: 76:[41, 1, 36], Operations: ['54-18=36']
Exploring Operation: 41-1=40, Resulting Numbers: [36, 40]
Generated Node #3: [36, 40] from Operation: 41-1=40
Current State: 76:[36, 40], Operations: ['54-18=36', '41-1=40']
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[18, 54, 41, 1], Operations: []
Exploring Operation: 54-18=36, Resulting Numbers: [41, 1, 36]
Generated Node #0,0: 76:[41, 1, 36] Operation: 54-18=36
Exploring Operation: 54/18=3, Resulting Numbers: [41, 1, 3]
Generated Node #0,1: 76:[41, 1, 3] Operation: 54/18=3
Exploring Operation: 18+54=72, Resulting Numbers: [41, 1, 72]
Generated Node #0,2: 76:[41, 1, 72] Operation: 18+54=72
Exploring Operation: 54-41=13, Resulting Numbers: [18, 1, 13]
Generated Node #0,3: 76:[18, 1, 13] Operation: 54-41=13
Moving to Node #0,1
Current State: 76:[41, 1, 3], Operations: ['54/18=3']
Exploring Operation: 1+3=4, Resulting Numbers: [41, 4]
Generated Node #0,1,0: 76:[41, 4] Operation: 1+3=4
Exploring Operation: 41-3=38, Resulting Numbers: [1, 38]
Generated Node #0,1,1: 76:[1, 38] Operation: 41-3=38
Exploring Operation: 3-1=2, Resulting Numbers: [41, 2]
Generated Node #0,1,2: 76:[41, 2] Operation: 3-1=2
Exploring Operation: 41-1=40, Resulting Numbers: [3, 40]
Generated Node #0,1,3: 76:[3, 40] Operation: 41-1=40
Moving to Node #0,0
Current State: 76:[41, 1, 36], Operations: ['54-18=36']
Exploring Operation: 1+36=37, Resulting Numbers: [41, 37]
Generated Node #0,0,0: 76:[41, 37] Operation: 1+36=37
Exploring Operation: 41-36=5, Resulting Numbers: [1, 5]
Generated Node #0,0,1: 76:[1, 5] Operation: 41-36=5
Exploring Operation: 41-1=40, Resulting Numbers: [36, 40]
Generated Node #0,0,2: 76:[36, 40] Operation: 41-1=40
Exploring Operation: 41+36=77, Resulting Numbers: [1, 77]
Generated Node #0,0,3: 76:[1, 77] Operation: 41+36=77
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[1, 5], Operations: ['54-18=36', '41-36=5']
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 76:[1, 77], Operations: ['54-18=36', '41+36=77']
Exploring Operation: 1+77=78, Resulting Numbers: [78]
78,76 unequal: No Solution
Exploring Operation: 1*77=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[18, 54, 41, 1], Operations: []
Exploring Operation: 54-18=36, Resulting Numbers: [41, 1, 36]
Generated Node #0,0: 76:[41, 1, 36] Operation: 54-18=36
Moving to Node #0,0
Current State: 76:[41, 1, 36], Operations: ['54-18=36']
Exploring Operation: 41+36=77, Resulting Numbers: [1, 77]
Generated Node #0,0,3: 76:[1, 77] Operation: 41+36=77
Moving to Node #0,0,3
Current State: 76:[1, 77], Operations: ['54-18=36', '41+36=77']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
7,
14,
81,
1
] | 78 | [
"14/7=2",
"81-1=80",
"80-2=78"
] | Current State: 78:[7, 14, 81, 1], Operations: []
Exploring Operation: 14/7=2, Resulting Numbers: [81, 1, 2]
Generated Node #2: [81, 1, 2] from Operation: 14/7=2
Current State: 78:[81, 1, 2], Operations: ['14/7=2']
Exploring Operation: 81-1=80, Resulting Numbers: [2, 80]
Generated Node #3: [2, 80] from Operation: 81-1=80
Current State: 78:[2, 80], Operations: ['14/7=2', '81-1=80']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[7, 14, 81, 1], Operations: []
Exploring Operation: 7-1=6, Resulting Numbers: [14, 81, 6]
Generated Node #0,0: 78:[14, 81, 6] Operation: 7-1=6
Exploring Operation: 14/7=2, Resulting Numbers: [81, 1, 2]
Generated Node #0,1: 78:[81, 1, 2] Operation: 14/7=2
Exploring Operation: 14-1=13, Resulting Numbers: [7, 81, 13]
Generated Node #0,2: 78:[7, 81, 13] Operation: 14-1=13
Moving to Node #0,0
Current State: 78:[14, 81, 6], Operations: ['7-1=6']
Exploring Operation: 14-6=8, Resulting Numbers: [81, 8]
Generated Node #0,0,0: 78:[81, 8] Operation: 14-6=8
Exploring Operation: 81-6=75, Resulting Numbers: [14, 75]
Generated Node #0,0,1: 78:[14, 75] Operation: 81-6=75
Exploring Operation: 14+6=20, Resulting Numbers: [81, 20]
Generated Node #0,0,2: 78:[81, 20] Operation: 14+6=20
Moving to Node #0,1
Current State: 78:[81, 1, 2], Operations: ['14/7=2']
Exploring Operation: 81-1=80, Resulting Numbers: [2, 80]
Generated Node #0,1,0: 78:[2, 80] Operation: 81-1=80
Exploring Operation: 81*1=81, Resulting Numbers: [2, 81]
Generated Node #0,1,1: 78:[2, 81] Operation: 81*1=81
Exploring Operation: 81-2=79, Resulting Numbers: [1, 79]
Generated Node #0,1,2: 78:[1, 79] Operation: 81-2=79
Moving to Node #0,2
Current State: 78:[7, 81, 13], Operations: ['14-1=13']
Exploring Operation: 7+13=20, Resulting Numbers: [81, 20]
Generated Node #0,2,0: 78:[81, 20] Operation: 7+13=20
Exploring Operation: 13-7=6, Resulting Numbers: [81, 6]
Generated Node #0,2,1: 78:[81, 6] Operation: 13-7=6
Exploring Operation: 81-7=74, Resulting Numbers: [13, 74]
Generated Node #0,2,2: 78:[13, 74] Operation: 81-7=74
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 78:[81, 6], Operations: ['14-1=13', '13-7=6']
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,78 unequal: No Solution
Exploring Operation: 81*6=486, Resulting Numbers: [486]
486,78 unequal: No Solution
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 78:[13, 74], Operations: ['14-1=13', '81-7=74']
Exploring Operation: 13*74=962, Resulting Numbers: [962]
962,78 unequal: No Solution
Exploring Operation: 13+74=87, Resulting Numbers: [87]
87,78 unequal: No Solution
Exploring Operation: 74-13=61, Resulting Numbers: [61]
61,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 78:[81, 20], Operations: ['14-1=13', '7+13=20']
Exploring Operation: 81*20=1620, Resulting Numbers: [1620]
1620,78 unequal: No Solution
Exploring Operation: 81+20=101, Resulting Numbers: [101]
101,78 unequal: No Solution
Exploring Operation: 81-20=61, Resulting Numbers: [61]
61,78 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: 78:[2, 80], Operations: ['14/7=2', '81-1=80']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[7, 14, 81, 1], Operations: []
Exploring Operation: 14/7=2, Resulting Numbers: [81, 1, 2]
Generated Node #0,1: 78:[81, 1, 2] Operation: 14/7=2
Moving to Node #0,1
Current State: 78:[81, 1, 2], Operations: ['14/7=2']
Exploring Operation: 81-1=80, Resulting Numbers: [2, 80]
Generated Node #0,1,0: 78:[2, 80] Operation: 81-1=80
Moving to Node #0,1,0
Current State: 78:[2, 80], Operations: ['14/7=2', '81-1=80']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
4,
5,
26,
71
] | 77 | [
"4*5=20",
"26+71=97",
"97-20=77"
] | Current State: 77:[4, 5, 26, 71], Operations: []
Exploring Operation: 4*5=20, Resulting Numbers: [26, 71, 20]
Generated Node #2: [26, 71, 20] from Operation: 4*5=20
Current State: 77:[26, 71, 20], Operations: ['4*5=20']
Exploring Operation: 26+71=97, Resulting Numbers: [20, 97]
Generated Node #3: [20, 97] from Operation: 26+71=97
Current State: 77:[20, 97], Operations: ['4*5=20', '26+71=97']
Exploring Operation: 97-20=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[4, 5, 26, 71], Operations: []
Exploring Operation: 4+71=75, Resulting Numbers: [5, 26, 75]
Generated Node #0,0: 77:[5, 26, 75] Operation: 4+71=75
Exploring Operation: 26-5=21, Resulting Numbers: [4, 71, 21]
Generated Node #0,1: 77:[4, 71, 21] Operation: 26-5=21
Exploring Operation: 26-4=22, Resulting Numbers: [5, 71, 22]
Generated Node #0,2: 77:[5, 71, 22] Operation: 26-4=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[5, 26, 75], Operations: ['4+71=75']
Exploring Operation: 75/5=15, Resulting Numbers: [26, 15]
Generated Node #0,0,0: 77:[26, 15] Operation: 75/5=15
Exploring Operation: 5+75=80, Resulting Numbers: [26, 80]
Generated Node #0,0,1: 77:[26, 80] Operation: 5+75=80
Exploring Operation: 26-5=21, Resulting Numbers: [75, 21]
Generated Node #0,0,2: 77:[75, 21] Operation: 26-5=21
Moving to Node #0,0,2
Current State: 77:[75, 21], Operations: ['4+71=75', '26-5=21']
Exploring Operation: 75+21=96, Resulting Numbers: [96]
96,77 unequal: No Solution
Exploring Operation: 75-21=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 75*21=1575, Resulting Numbers: [1575]
1575,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[26, 80], Operations: ['4+71=75', '5+75=80']
Exploring Operation: 26*80=2080, Resulting Numbers: [2080]
2080,77 unequal: No Solution
Exploring Operation: 26+80=106, Resulting Numbers: [106]
106,77 unequal: No Solution
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[26, 15], Operations: ['4+71=75', '75/5=15']
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,77 unequal: No Solution
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,77 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,77 unequal: No Solution
No 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: 77:[4, 71, 21], Operations: ['26-5=21']
Exploring Operation: 4*21=84, Resulting Numbers: [71, 84]
Generated Node #0,1,0: 77:[71, 84] Operation: 4*21=84
Exploring Operation: 4+71=75, Resulting Numbers: [21, 75]
Generated Node #0,1,1: 77:[21, 75] Operation: 4+71=75
Exploring Operation: 21-4=17, Resulting Numbers: [71, 17]
Generated Node #0,1,2: 77:[71, 17] Operation: 21-4=17
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 77:[21, 75], Operations: ['26-5=21', '4+71=75']
Exploring Operation: 75-21=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 21*75=1575, Resulting Numbers: [1575]
1575,77 unequal: No Solution
Exploring Operation: 21+75=96, Resulting Numbers: [96]
96,77 unequal: No Solution
No 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: 77:[71, 17], Operations: ['26-5=21', '21-4=17']
Exploring Operation: 71+17=88, Resulting Numbers: [88]
88,77 unequal: No Solution
Exploring Operation: 71*17=1207, Resulting Numbers: [1207]
1207,77 unequal: No Solution
Exploring Operation: 71-17=54, Resulting Numbers: [54]
54,77 unequal: No Solution
No 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: 77:[71, 84], Operations: ['26-5=21', '4*21=84']
Exploring Operation: 84-71=13, Resulting Numbers: [13]
13,77 unequal: No Solution
Exploring Operation: 71+84=155, Resulting Numbers: [155]
155,77 unequal: No Solution
Exploring Operation: 71*84=5964, Resulting Numbers: [5964]
5964,77 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: 77:[5, 71, 22], Operations: ['26-4=22']
Exploring Operation: 5+71=76, Resulting Numbers: [22, 76]
Generated Node #0,2,0: 77:[22, 76] Operation: 5+71=76
Exploring Operation: 22-5=17, Resulting Numbers: [71, 17]
Generated Node #0,2,1: 77:[71, 17] Operation: 22-5=17
Exploring Operation: 71+22=93, Resulting Numbers: [5, 93]
Generated Node #0,2,2: 77:[5, 93] Operation: 71+22=93
Moving to Node #0,2,0
Current State: 77:[22, 76], Operations: ['26-4=22', '5+71=76']
Exploring Operation: 76-22=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 22*76=1672, Resulting Numbers: [1672]
1672,77 unequal: No Solution
Exploring Operation: 22+76=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[71, 17], Operations: ['26-4=22', '22-5=17']
Exploring Operation: 71+17=88, Resulting Numbers: [88]
88,77 unequal: No Solution
Exploring Operation: 71-17=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 71*17=1207, Resulting Numbers: [1207]
1207,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[5, 93], Operations: ['26-4=22', '71+22=93']
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,77 unequal: No Solution
Exploring Operation: 5*93=465, Resulting Numbers: [465]
465,77 unequal: No Solution
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,77 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 |
[
87,
38,
49,
24
] | 74 | [
"87-38=49",
"49-24=25",
"49+25=74"
] | Current State: 74:[87, 38, 49, 24], Operations: []
Exploring Operation: 87-38=49, Resulting Numbers: [49, 24, 49]
Generated Node #2: [49, 24, 49] from Operation: 87-38=49
Current State: 74:[49, 24, 49], Operations: ['87-38=49']
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,74 equal: Goal Reached
Exploring Operation: 49+25=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[87, 38, 49, 24], Operations: []
Exploring Operation: 87-24=63, Resulting Numbers: [38, 49, 63]
Generated Node #0,0: 74:[38, 49, 63] Operation: 87-24=63
Exploring Operation: 49+24=73, Resulting Numbers: [87, 38, 73]
Generated Node #0,1: 74:[87, 38, 73] Operation: 49+24=73
Exploring Operation: 87-49=38, Resulting Numbers: [38, 24, 38]
Generated Node #0,2: 74:[38, 24, 38] Operation: 87-49=38
Moving to Node #0,1
Current State: 74:[87, 38, 73], Operations: ['49+24=73']
Exploring Operation: 73-38=35, Resulting Numbers: [87, 35]
Generated Node #0,1,0: 74:[87, 35] Operation: 73-38=35
Exploring Operation: 87-73=14, Resulting Numbers: [38, 14]
Generated Node #0,1,1: 74:[38, 14] Operation: 87-73=14
Exploring Operation: 87-38=49, Resulting Numbers: [73, 49]
Generated Node #0,1,2: 74:[73, 49] Operation: 87-38=49
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 74:[38, 14], Operations: ['49+24=73', '87-73=14']
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,74 unequal: No Solution
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,74 unequal: No Solution
No 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: 74:[73, 49], Operations: ['49+24=73', '87-38=49']
Exploring Operation: 73*49=3577, Resulting Numbers: [3577]
3577,74 unequal: No Solution
Exploring Operation: 73+49=122, Resulting Numbers: [122]
122,74 unequal: No Solution
Exploring Operation: 73-49=24, Resulting Numbers: [24]
24,74 unequal: No Solution
No 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: 74:[87, 35], Operations: ['49+24=73', '73-38=35']
Exploring Operation: 87-35=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 87+35=122, Resulting Numbers: [122]
122,74 unequal: No Solution
Exploring Operation: 87*35=3045, Resulting Numbers: [3045]
3045,74 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: 74:[38, 24, 38], Operations: ['87-49=38']
Exploring Operation: 38-24=14, Resulting Numbers: [38, 14]
Generated Node #0,2,0: 74:[38, 14] Operation: 38-24=14
Exploring Operation: 38+24=62, Resulting Numbers: [38, 62]
Generated Node #0,2,1: 74:[38, 62] Operation: 38+24=62
Exploring Operation: 24+38=62, Resulting Numbers: [38, 62]
Generated Node #0,2,2: 74:[38, 62] Operation: 24+38=62
Moving to Node #0,0
Current State: 74:[38, 49, 63], Operations: ['87-24=63']
Exploring Operation: 38+49=87, Resulting Numbers: [63, 87]
Generated Node #0,0,0: 74:[63, 87] Operation: 38+49=87
Exploring Operation: 49-38=11, Resulting Numbers: [63, 11]
Generated Node #0,0,1: 74:[63, 11] Operation: 49-38=11
Exploring Operation: 63-49=14, Resulting Numbers: [38, 14]
Generated Node #0,0,2: 74:[38, 14] Operation: 63-49=14
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 74:[38, 14], Operations: ['87-24=63', '63-49=14']
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,74 unequal: No Solution
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,74 unequal: No Solution
No 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: 74:[63, 11], Operations: ['87-24=63', '49-38=11']
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 63*11=693, Resulting Numbers: [693]
693,74 unequal: No Solution
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[87, 38, 49, 24], Operations: []
Exploring Operation: 87-24=63, Resulting Numbers: [38, 49, 63]
Generated Node #0,0: 74:[38, 49, 63] Operation: 87-24=63
Moving to Node #0,0
Current State: 74:[38, 49, 63], Operations: ['87-24=63']
Exploring Operation: 49-38=11, Resulting Numbers: [63, 11]
Generated Node #0,0,1: 74:[63, 11] Operation: 49-38=11
Moving to Node #0,0,1
Current State: 74:[63, 11], Operations: ['87-24=63', '49-38=11']
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_3 | mult_heuristic |
[
14,
48,
8,
31
] | 85 | [
"14+48=62",
"31-8=23",
"62+23=85"
] | Current State: 85:[14, 48, 8, 31], Operations: []
Exploring Operation: 14+48=62, Resulting Numbers: [8, 31, 62]
Generated Node #2: [8, 31, 62] from Operation: 14+48=62
Current State: 85:[8, 31, 62], Operations: ['14+48=62']
Exploring Operation: 31-8=23, Resulting Numbers: [62, 23]
Generated Node #3: [62, 23] from Operation: 31-8=23
Current State: 85:[62, 23], Operations: ['14+48=62', '31-8=23']
Exploring Operation: 62+23=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[14, 48, 8, 31], Operations: []
Exploring Operation: 48-31=17, Resulting Numbers: [14, 8, 17]
Generated Node #0,0: 85:[14, 8, 17] Operation: 48-31=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[14, 8, 17], Operations: ['48-31=17']
Exploring Operation: 14-8=6, Resulting Numbers: [17, 6]
Generated Node #0,0,0: 85:[17, 6] Operation: 14-8=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[17, 6], Operations: ['48-31=17', '14-8=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
9,
99,
28,
40
] | 40 | [
"9+99=108",
"28+40=68",
"108-68=40"
] | Current State: 40:[9, 99, 28, 40], Operations: []
Exploring Operation: 9+99=108, Resulting Numbers: [28, 40, 108]
Generated Node #2: [28, 40, 108] from Operation: 9+99=108
Current State: 40:[28, 40, 108], Operations: ['9+99=108']
Exploring Operation: 28+40=68, Resulting Numbers: [108, 68]
Generated Node #3: [108, 68] from Operation: 28+40=68
Current State: 40:[108, 68], Operations: ['9+99=108', '28+40=68']
Exploring Operation: 108-68=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[9, 99, 28, 40], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [28, 40, 11]
Generated Node #0,0: 40:[28, 40, 11] Operation: 99/9=11
Exploring Operation: 99-40=59, Resulting Numbers: [9, 28, 59]
Generated Node #0,1: 40:[9, 28, 59] Operation: 99-40=59
Exploring Operation: 99-28=71, Resulting Numbers: [9, 40, 71]
Generated Node #0,2: 40:[9, 40, 71] Operation: 99-28=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[28, 40, 11], Operations: ['99/9=11']
Exploring Operation: 28-11=17, Resulting Numbers: [40, 17]
Generated Node #0,0,0: 40:[40, 17] Operation: 28-11=17
Exploring Operation: 28+11=39, Resulting Numbers: [40, 39]
Generated Node #0,0,1: 40:[40, 39] Operation: 28+11=39
Exploring Operation: 40-28=12, Resulting Numbers: [11, 12]
Generated Node #0,0,2: 40:[11, 12] Operation: 40-28=12
Moving to Node #0,0,1
Current State: 40:[40, 39], Operations: ['99/9=11', '28+11=39']
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,40 unequal: No Solution
Exploring Operation: 40*39=1560, Resulting Numbers: [1560]
1560,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[40, 17], Operations: ['99/9=11', '28-11=17']
Exploring Operation: 40*17=680, Resulting Numbers: [680]
680,40 unequal: No Solution
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,40 unequal: No Solution
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[11, 12], Operations: ['99/9=11', '40-28=12']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,40 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,40 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:[9, 28, 59], Operations: ['99-40=59']
Exploring Operation: 28-9=19, Resulting Numbers: [59, 19]
Generated Node #0,1,0: 40:[59, 19] Operation: 28-9=19
Exploring Operation: 59-9=50, Resulting Numbers: [28, 50]
Generated Node #0,1,1: 40:[28, 50] Operation: 59-9=50
Exploring Operation: 59-28=31, Resulting Numbers: [9, 31]
Generated Node #0,1,2: 40:[9, 31] Operation: 59-28=31
Moving to Node #0,1,2
Current State: 40:[9, 31], Operations: ['99-40=59', '59-28=31']
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Exploring Operation: 9*31=279, Resulting Numbers: [279]
279,40 unequal: No Solution
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[9, 99, 28, 40], Operations: []
Exploring Operation: 99-40=59, Resulting Numbers: [9, 28, 59]
Generated Node #0,1: 40:[9, 28, 59] Operation: 99-40=59
Moving to Node #0,1
Current State: 40:[9, 28, 59], Operations: ['99-40=59']
Exploring Operation: 59-28=31, Resulting Numbers: [9, 31]
Generated Node #0,1,2: 40:[9, 31] Operation: 59-28=31
Moving to Node #0,1,2
Current State: 40:[9, 31], Operations: ['99-40=59', '59-28=31']
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | sum_heuristic |
[
26,
2,
58,
80
] | 70 | [
"80-58=22",
"2*22=44",
"26+44=70"
] | Current State: 70:[26, 2, 58, 80], Operations: []
Exploring Operation: 80-58=22, Resulting Numbers: [26, 2, 22]
Generated Node #2: [26, 2, 22] from Operation: 80-58=22
Current State: 70:[26, 2, 22], Operations: ['80-58=22']
Exploring Operation: 2*22=44, Resulting Numbers: [26, 44]
Generated Node #3: [26, 44] from Operation: 2*22=44
Current State: 70:[26, 44], Operations: ['80-58=22', '2*22=44']
Exploring Operation: 26+44=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[26, 2, 58, 80], Operations: []
Exploring Operation: 80-58=22, Resulting Numbers: [26, 2, 22]
Generated Node #0,0: 70:[26, 2, 22] Operation: 80-58=22
Exploring Operation: 58-26=32, Resulting Numbers: [2, 80, 32]
Generated Node #0,1: 70:[2, 80, 32] Operation: 58-26=32
Exploring Operation: 26+58=84, Resulting Numbers: [2, 80, 84]
Generated Node #0,2: 70:[2, 80, 84] Operation: 26+58=84
Exploring Operation: 58/2=29, Resulting Numbers: [26, 80, 29]
Generated Node #0,3: 70:[26, 80, 29] Operation: 58/2=29
Exploring Operation: 26/2=13, Resulting Numbers: [58, 80, 13]
Generated Node #0,4: 70:[58, 80, 13] Operation: 26/2=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[2, 80, 32], Operations: ['58-26=32']
Exploring Operation: 80-32=48, Resulting Numbers: [2, 48]
Generated Node #0,1,0: 70:[2, 48] Operation: 80-32=48
Exploring Operation: 2+32=34, Resulting Numbers: [80, 34]
Generated Node #0,1,1: 70:[80, 34] Operation: 2+32=34
Exploring Operation: 80-2=78, Resulting Numbers: [32, 78]
Generated Node #0,1,2: 70:[32, 78] Operation: 80-2=78
Exploring Operation: 32/2=16, Resulting Numbers: [80, 16]
Generated Node #0,1,3: 70:[80, 16] Operation: 32/2=16
Exploring Operation: 80/2=40, Resulting Numbers: [32, 40]
Generated Node #0,1,4: 70:[32, 40] Operation: 80/2=40
Moving to Node #0,1,4
Current State: 70:[32, 40], Operations: ['58-26=32', '80/2=40']
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,70 unequal: No Solution
Exploring Operation: 32*40=1280, Resulting Numbers: [1280]
1280,70 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[32, 78], Operations: ['58-26=32', '80-2=78']
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 32+78=110, Resulting Numbers: [110]
110,70 unequal: No Solution
Exploring Operation: 32*78=2496, Resulting Numbers: [2496]
2496,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[80, 34], Operations: ['58-26=32', '2+32=34']
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 80*34=2720, Resulting Numbers: [2720]
2720,70 unequal: No Solution
Exploring Operation: 80+34=114, Resulting Numbers: [114]
114,70 unequal: No Solution
Moving to Node #0,1,3
Current State: 70:[80, 16], Operations: ['58-26=32', '32/2=16']
Exploring Operation: 80*16=1280, Resulting Numbers: [1280]
1280,70 unequal: No Solution
Exploring Operation: 80/16=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 80-16=64, Resulting Numbers: [64]
64,70 unequal: No Solution
Exploring Operation: 80+16=96, Resulting Numbers: [96]
96,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[2, 48], Operations: ['58-26=32', '80-32=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,70 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,70 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[26, 2, 22], Operations: ['80-58=22']
Exploring Operation: 26+22=48, Resulting Numbers: [2, 48]
Generated Node #0,0,0: 70:[2, 48] Operation: 26+22=48
Exploring Operation: 26+2=28, Resulting Numbers: [22, 28]
Generated Node #0,0,1: 70:[22, 28] Operation: 26+2=28
Exploring Operation: 26-22=4, Resulting Numbers: [2, 4]
Generated Node #0,0,2: 70:[2, 4] Operation: 26-22=4
Exploring Operation: 22/2=11, Resulting Numbers: [26, 11]
Generated Node #0,0,3: 70:[26, 11] Operation: 22/2=11
Exploring Operation: 26/2=13, Resulting Numbers: [22, 13]
Generated Node #0,0,4: 70:[22, 13] Operation: 26/2=13
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 70:[2, 4], Operations: ['80-58=22', '26-22=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,70 unequal: No Solution
No 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: 70:[22, 13], Operations: ['80-58=22', '26/2=13']
Exploring Operation: 22*13=286, Resulting Numbers: [286]
286,70 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,70 unequal: No Solution
No 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: 70:[26, 11], Operations: ['80-58=22', '22/2=11']
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,70 unequal: No Solution
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,70 unequal: No Solution
No 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: 70:[2, 48], Operations: ['80-58=22', '26+22=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,70 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,70 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,70 unequal: No Solution
No 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: 70:[22, 28], Operations: ['80-58=22', '26+2=28']
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,70 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,70 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,70 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: 70:[58, 80, 13], Operations: ['26/2=13']
Exploring Operation: 80-13=67, Resulting Numbers: [58, 67]
Generated Node #0,4,0: 70:[58, 67] Operation: 80-13=67
Exploring Operation: 80-58=22, Resulting Numbers: [13, 22]
Generated Node #0,4,1: 70:[13, 22] Operation: 80-58=22
Exploring Operation: 58+13=71, Resulting Numbers: [80, 71]
Generated Node #0,4,2: 70:[80, 71] Operation: 58+13=71
Exploring Operation: 80+13=93, Resulting Numbers: [58, 93]
Generated Node #0,4,3: 70:[58, 93] Operation: 80+13=93
Exploring Operation: 58-13=45, Resulting Numbers: [80, 45]
Generated Node #0,4,4: 70:[80, 45] Operation: 58-13=45
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 70:[13, 22], Operations: ['26/2=13', '80-58=22']
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,70 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,70 unequal: No Solution
No 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: 70:[80, 71], Operations: ['26/2=13', '58+13=71']
Exploring Operation: 80*71=5680, Resulting Numbers: [5680]
5680,70 unequal: No Solution
Exploring Operation: 80-71=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Exploring Operation: 80+71=151, Resulting Numbers: [151]
151,70 unequal: No Solution
No 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: 70:[58, 67], Operations: ['26/2=13', '80-13=67']
Exploring Operation: 58+67=125, Resulting Numbers: [125]
125,70 unequal: No Solution
Exploring Operation: 58*67=3886, Resulting Numbers: [3886]
3886,70 unequal: No Solution
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,70 unequal: No Solution
No 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: 70:[80, 45], Operations: ['26/2=13', '58-13=45']
Exploring Operation: 80-45=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 80+45=125, Resulting Numbers: [125]
125,70 unequal: No Solution
Exploring Operation: 80*45=3600, Resulting Numbers: [3600]
3600,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 70:[58, 93], Operations: ['26/2=13', '80+13=93']
Exploring Operation: 58*93=5394, Resulting Numbers: [5394]
5394,70 unequal: No Solution
Exploring Operation: 58+93=151, Resulting Numbers: [151]
151,70 unequal: No Solution
Exploring Operation: 93-58=35, Resulting Numbers: [35]
35,70 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: 70:[2, 80, 84], Operations: ['26+58=84']
Exploring Operation: 84-80=4, Resulting Numbers: [2, 4]
Generated Node #0,2,0: 70:[2, 4] Operation: 84-80=4
Exploring Operation: 80/2=40, Resulting Numbers: [84, 40]
Generated Node #0,2,1: 70:[84, 40] Operation: 80/2=40
Exploring Operation: 84/2=42, Resulting Numbers: [80, 42]
Generated Node #0,2,2: 70:[80, 42] Operation: 84/2=42
Exploring Operation: 80-2=78, Resulting Numbers: [84, 78]
Generated Node #0,2,3: 70:[84, 78] Operation: 80-2=78
Exploring Operation: 84-2=82, Resulting Numbers: [80, 82]
Generated Node #0,2,4: 70:[80, 82] Operation: 84-2=82
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 70:[2, 4], Operations: ['26+58=84', '84-80=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,70 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,70 unequal: No Solution
No 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: 70:[80, 42], Operations: ['26+58=84', '84/2=42']
Exploring Operation: 80+42=122, Resulting Numbers: [122]
122,70 unequal: No Solution
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,70 unequal: No Solution
Exploring Operation: 80*42=3360, Resulting Numbers: [3360]
3360,70 unequal: No Solution
No 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: 70:[84, 40], Operations: ['26+58=84', '80/2=40']
Exploring Operation: 84+40=124, Resulting Numbers: [124]
124,70 unequal: No Solution
Exploring Operation: 84*40=3360, Resulting Numbers: [3360]
3360,70 unequal: No Solution
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,70 unequal: No Solution
No 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: 70:[84, 78], Operations: ['26+58=84', '80-2=78']
Exploring Operation: 84+78=162, Resulting Numbers: [162]
162,70 unequal: No Solution
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,70 unequal: No Solution
Exploring Operation: 84*78=6552, Resulting Numbers: [6552]
6552,70 unequal: No Solution
No 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: 70:[80, 82], Operations: ['26+58=84', '84-2=82']
Exploring Operation: 80*82=6560, Resulting Numbers: [6560]
6560,70 unequal: No Solution
Exploring Operation: 82-80=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 80+82=162, Resulting Numbers: [162]
162,70 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: 70:[26, 80, 29], Operations: ['58/2=29']
Exploring Operation: 80-26=54, Resulting Numbers: [29, 54]
Generated Node #0,3,0: 70:[29, 54] Operation: 80-26=54
Exploring Operation: 26+29=55, Resulting Numbers: [80, 55]
Generated Node #0,3,1: 70:[80, 55] Operation: 26+29=55
Exploring Operation: 29-26=3, Resulting Numbers: [80, 3]
Generated Node #0,3,2: 70:[80, 3] Operation: 29-26=3
Exploring Operation: 26+80=106, Resulting Numbers: [29, 106]
Generated Node #0,3,3: 70:[29, 106] Operation: 26+80=106
Exploring Operation: 80-29=51, Resulting Numbers: [26, 51]
Generated Node #0,3,4: 70:[26, 51] Operation: 80-29=51
Moving to Node #0,3,2
Current State: 70:[80, 3], Operations: ['58/2=29', '29-26=3']
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,70 unequal: No Solution
Exploring Operation: 80*3=240, Resulting Numbers: [240]
240,70 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,70 unequal: No Solution
Moving to Node #0,3,0
Current State: 70:[29, 54], Operations: ['58/2=29', '80-26=54']
Exploring Operation: 29+54=83, Resulting Numbers: [83]
83,70 unequal: No Solution
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,70 unequal: No Solution
Exploring Operation: 29*54=1566, Resulting Numbers: [1566]
1566,70 unequal: No Solution
Moving to Node #0,3,1
Current State: 70:[80, 55], Operations: ['58/2=29', '26+29=55']
Exploring Operation: 80*55=4400, Resulting Numbers: [4400]
4400,70 unequal: No Solution
Exploring Operation: 80-55=25, Resulting Numbers: [25]
25,70 unequal: No Solution
Exploring Operation: 80+55=135, Resulting Numbers: [135]
135,70 unequal: No Solution
Moving to Node #0,3,4
Current State: 70:[26, 51], Operations: ['58/2=29', '80-29=51']
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,70 unequal: No Solution
Exploring Operation: 26+51=77, Resulting Numbers: [77]
77,70 unequal: No Solution
Exploring Operation: 26*51=1326, Resulting Numbers: [1326]
1326,70 unequal: No Solution
Moving to Node #0,3,3
Current State: 70:[29, 106], Operations: ['58/2=29', '26+80=106']
Exploring Operation: 106-29=77, Resulting Numbers: [77]
77,70 unequal: No Solution
Exploring Operation: 29*106=3074, Resulting Numbers: [3074]
3074,70 unequal: No Solution
Exploring Operation: 29+106=135, Resulting Numbers: [135]
135,70 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 |
[
69,
65,
2,
47
] | 53 | [
"69-65=4",
"2+47=49",
"4+49=53"
] | Current State: 53:[69, 65, 2, 47], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [2, 47, 4]
Generated Node #2: [2, 47, 4] from Operation: 69-65=4
Current State: 53:[2, 47, 4], Operations: ['69-65=4']
Exploring Operation: 2+47=49, Resulting Numbers: [4, 49]
Generated Node #3: [4, 49] from Operation: 2+47=49
Current State: 53:[4, 49], Operations: ['69-65=4', '2+47=49']
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[69, 65, 2, 47], Operations: []
Exploring Operation: 69-2=67, Resulting Numbers: [65, 47, 67]
Generated Node #0,0: 53:[65, 47, 67] Operation: 69-2=67
Moving to Node #0,0
Current State: 53:[65, 47, 67], Operations: ['69-2=67']
Exploring Operation: 67-47=20, Resulting Numbers: [65, 20]
Generated Node #0,0,0: 53:[65, 20] Operation: 67-47=20
Moving to Node #0,0,0
Current State: 53:[65, 20], Operations: ['69-2=67', '67-47=20']
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,53 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
27,
51,
81,
40
] | 33 | [
"81/27=3",
"51-40=11",
"3*11=33"
] | Current State: 33:[27, 51, 81, 40], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [51, 40, 3]
Generated Node #2: [51, 40, 3] from Operation: 81/27=3
Current State: 33:[51, 40, 3], Operations: ['81/27=3']
Exploring Operation: 51-40=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 51-40=11
Current State: 33:[3, 11], Operations: ['81/27=3', '51-40=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[27, 51, 81, 40], Operations: []
Exploring Operation: 81-51=30, Resulting Numbers: [27, 40, 30]
Generated Node #0,0: 33:[27, 40, 30] Operation: 81-51=30
Exploring Operation: 81/27=3, Resulting Numbers: [51, 40, 3]
Generated Node #0,1: 33:[51, 40, 3] Operation: 81/27=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[27, 40, 30], Operations: ['81-51=30']
Exploring Operation: 30-27=3, Resulting Numbers: [40, 3]
Generated Node #0,0,0: 33:[40, 3] Operation: 30-27=3
Exploring Operation: 40-27=13, Resulting Numbers: [30, 13]
Generated Node #0,0,1: 33:[30, 13] Operation: 40-27=13
Moving to Node #0,0,1
Current State: 33:[30, 13], Operations: ['81-51=30', '40-27=13']
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[40, 3], Operations: ['81-51=30', '30-27=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[51, 40, 3], Operations: ['81/27=3']
Exploring Operation: 51-40=11, Resulting Numbers: [3, 11]
Generated Node #0,1,0: 33:[3, 11] Operation: 51-40=11
Exploring Operation: 51/3=17, Resulting Numbers: [40, 17]
Generated Node #0,1,1: 33:[40, 17] Operation: 51/3=17
Moving to Node #0,1,0
Current State: 33:[3, 11], Operations: ['81/27=3', '51-40=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[27, 51, 81, 40], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [51, 40, 3]
Generated Node #0,1: 33:[51, 40, 3] Operation: 81/27=3
Moving to Node #0,1
Current State: 33:[51, 40, 3], Operations: ['81/27=3']
Exploring Operation: 51-40=11, Resulting Numbers: [3, 11]
Generated Node #0,1,0: 33:[3, 11] Operation: 51-40=11
Moving to Node #0,1,0
Current State: 33:[3, 11], Operations: ['81/27=3', '51-40=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
76,
94,
7,
23
] | 97 | [
"76-7=69",
"69/23=3",
"94+3=97"
] | Current State: 97:[76, 94, 7, 23], Operations: []
Exploring Operation: 76-7=69, Resulting Numbers: [94, 23, 69]
Generated Node #2: [94, 23, 69] from Operation: 76-7=69
Current State: 97:[94, 23, 69], Operations: ['76-7=69']
Exploring Operation: 69/23=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 69/23=3
Current State: 97:[94, 3], Operations: ['76-7=69', '69/23=3']
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[76, 94, 7, 23], Operations: []
Exploring Operation: 7+23=30, Resulting Numbers: [76, 94, 30]
Generated Node #0,0: 97:[76, 94, 30] Operation: 7+23=30
Exploring Operation: 76+7=83, Resulting Numbers: [94, 23, 83]
Generated Node #0,1: 97:[94, 23, 83] Operation: 76+7=83
Exploring Operation: 7*23=161, Resulting Numbers: [76, 94, 161]
Generated Node #0,2: 97:[76, 94, 161] Operation: 7*23=161
Moving to Node #0,2
Current State: 97:[76, 94, 161], Operations: ['7*23=161']
Exploring Operation: 76+94=170, Resulting Numbers: [161, 170]
Generated Node #0,2,0: 97:[161, 170] Operation: 76+94=170
Exploring Operation: 161-76=85, Resulting Numbers: [94, 85]
Generated Node #0,2,1: 97:[94, 85] Operation: 161-76=85
Exploring Operation: 161-94=67, Resulting Numbers: [76, 67]
Generated Node #0,2,2: 97:[76, 67] Operation: 161-94=67
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 97:[94, 85], Operations: ['7*23=161', '161-76=85']
Exploring Operation: 94+85=179, Resulting Numbers: [179]
179,97 unequal: No Solution
Exploring Operation: 94-85=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Exploring Operation: 94*85=7990, Resulting Numbers: [7990]
7990,97 unequal: No Solution
No 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: 97:[76, 67], Operations: ['7*23=161', '161-94=67']
Exploring Operation: 76+67=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Exploring Operation: 76*67=5092, Resulting Numbers: [5092]
5092,97 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,97 unequal: No Solution
No 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: 97:[161, 170], Operations: ['7*23=161', '76+94=170']
Exploring Operation: 161*170=27370, Resulting Numbers: [27370]
27370,97 unequal: No Solution
Exploring Operation: 161+170=331, Resulting Numbers: [331]
331,97 unequal: No Solution
Exploring Operation: 170-161=9, Resulting Numbers: [9]
9,97 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: 97:[76, 94, 30], Operations: ['7+23=30']
Exploring Operation: 76+30=106, Resulting Numbers: [94, 106]
Generated Node #0,0,0: 97:[94, 106] Operation: 76+30=106
Exploring Operation: 94+30=124, Resulting Numbers: [76, 124]
Generated Node #0,0,1: 97:[76, 124] Operation: 94+30=124
Exploring Operation: 76-30=46, Resulting Numbers: [94, 46]
Generated Node #0,0,2: 97:[94, 46] Operation: 76-30=46
Moving to Node #0,1
Current State: 97:[94, 23, 83], Operations: ['76+7=83']
Exploring Operation: 23+83=106, Resulting Numbers: [94, 106]
Generated Node #0,1,0: 97:[94, 106] Operation: 23+83=106
Exploring Operation: 94-23=71, Resulting Numbers: [83, 71]
Generated Node #0,1,1: 97:[83, 71] Operation: 94-23=71
Exploring Operation: 94+23=117, Resulting Numbers: [83, 117]
Generated Node #0,1,2: 97:[83, 117] Operation: 94+23=117
Moving to Node #0,0,0
Current State: 97:[94, 106], Operations: ['7+23=30', '76+30=106']
Exploring Operation: 94*106=9964, Resulting Numbers: [9964]
9964,97 unequal: No Solution
Exploring Operation: 94+106=200, Resulting Numbers: [200]
200,97 unequal: No Solution
Exploring Operation: 106-94=12, Resulting Numbers: [12]
12,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[94, 106], Operations: ['76+7=83', '23+83=106']
Exploring Operation: 94+106=200, Resulting Numbers: [200]
200,97 unequal: No Solution
Exploring Operation: 106-94=12, Resulting Numbers: [12]
12,97 unequal: No Solution
Exploring Operation: 94*106=9964, Resulting Numbers: [9964]
9964,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[83, 117], Operations: ['76+7=83', '94+23=117']
Exploring Operation: 83*117=9711, Resulting Numbers: [9711]
9711,97 unequal: No Solution
Exploring Operation: 83+117=200, Resulting Numbers: [200]
200,97 unequal: No Solution
Exploring Operation: 117-83=34, Resulting Numbers: [34]
34,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[83, 71], Operations: ['76+7=83', '94-23=71']
Exploring Operation: 83-71=12, Resulting Numbers: [12]
12,97 unequal: No Solution
Exploring Operation: 83*71=5893, Resulting Numbers: [5893]
5893,97 unequal: No Solution
Exploring Operation: 83+71=154, Resulting Numbers: [154]
154,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[76, 124], Operations: ['7+23=30', '94+30=124']
Exploring Operation: 76+124=200, Resulting Numbers: [200]
200,97 unequal: No Solution
Exploring Operation: 124-76=48, Resulting Numbers: [48]
48,97 unequal: No Solution
Exploring Operation: 76*124=9424, Resulting Numbers: [9424]
9424,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[94, 46], Operations: ['7+23=30', '76-30=46']
Exploring Operation: 94-46=48, Resulting Numbers: [48]
48,97 unequal: No Solution
Exploring Operation: 94*46=4324, Resulting Numbers: [4324]
4324,97 unequal: No Solution
Exploring Operation: 94+46=140, Resulting Numbers: [140]
140,97 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
10,
41,
62,
55
] | 24 | [
"41-10=31",
"62-55=7",
"31-7=24"
] | Current State: 24:[10, 41, 62, 55], Operations: []
Exploring Operation: 41-10=31, Resulting Numbers: [62, 55, 31]
Generated Node #2: [62, 55, 31] from Operation: 41-10=31
Current State: 24:[62, 55, 31], Operations: ['41-10=31']
Exploring Operation: 62-55=7, Resulting Numbers: [31, 7]
Generated Node #3: [31, 7] from Operation: 62-55=7
Current State: 24:[31, 7], Operations: ['41-10=31', '62-55=7']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[10, 41, 62, 55], Operations: []
Exploring Operation: 62-55=7, Resulting Numbers: [10, 41, 7]
Generated Node #0,0: 24:[10, 41, 7] Operation: 62-55=7
Exploring Operation: 55-41=14, Resulting Numbers: [10, 62, 14]
Generated Node #0,1: 24:[10, 62, 14] Operation: 55-41=14
Exploring Operation: 62-41=21, Resulting Numbers: [10, 55, 21]
Generated Node #0,2: 24:[10, 55, 21] Operation: 62-41=21
Moving to Node #0,0
Current State: 24:[10, 41, 7], Operations: ['62-55=7']
Exploring Operation: 41-7=34, Resulting Numbers: [10, 34]
Generated Node #0,0,0: 24:[10, 34] Operation: 41-7=34
Exploring Operation: 10-7=3, Resulting Numbers: [41, 3]
Generated Node #0,0,1: 24:[41, 3] Operation: 10-7=3
Exploring Operation: 41-10=31, Resulting Numbers: [7, 31]
Generated Node #0,0,2: 24:[7, 31] Operation: 41-10=31
Moving to Node #0,2
Current State: 24:[10, 55, 21], Operations: ['62-41=21']
Exploring Operation: 21-10=11, Resulting Numbers: [55, 11]
Generated Node #0,2,0: 24:[55, 11] Operation: 21-10=11
Exploring Operation: 55-21=34, Resulting Numbers: [10, 34]
Generated Node #0,2,1: 24:[10, 34] Operation: 55-21=34
Exploring Operation: 55-10=45, Resulting Numbers: [21, 45]
Generated Node #0,2,2: 24:[21, 45] Operation: 55-10=45
Moving to Node #0,1
Current State: 24:[10, 62, 14], Operations: ['55-41=14']
Exploring Operation: 62-10=52, Resulting Numbers: [14, 52]
Generated Node #0,1,0: 24:[14, 52] Operation: 62-10=52
Exploring Operation: 62-14=48, Resulting Numbers: [10, 48]
Generated Node #0,1,1: 24:[10, 48] Operation: 62-14=48
Exploring Operation: 10+14=24, Resulting Numbers: [62, 24]
Generated Node #0,1,2: 24:[62, 24] Operation: 10+14=24
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[10, 48], Operations: ['55-41=14', '62-14=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,24 unequal: No Solution
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,24 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[14, 52], Operations: ['55-41=14', '62-10=52']
Exploring Operation: 14+52=66, Resulting Numbers: [66]
66,24 unequal: No Solution
Exploring Operation: 14*52=728, Resulting Numbers: [728]
728,24 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 24:[62, 24], Operations: ['55-41=14', '10+14=24']
Exploring Operation: 62+24=86, Resulting Numbers: [86]
86,24 unequal: No Solution
Exploring Operation: 62*24=1488, Resulting Numbers: [1488]
1488,24 unequal: No Solution
Exploring Operation: 62-24=38, Resulting Numbers: [38]
38,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 24:[7, 31], Operations: ['62-55=7', '41-10=31']
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,24 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[10, 41, 62, 55], Operations: []
Exploring Operation: 62-55=7, Resulting Numbers: [10, 41, 7]
Generated Node #0,0: 24:[10, 41, 7] Operation: 62-55=7
Moving to Node #0,0
Current State: 24:[10, 41, 7], Operations: ['62-55=7']
Exploring Operation: 41-10=31, Resulting Numbers: [7, 31]
Generated Node #0,0,2: 24:[7, 31] Operation: 41-10=31
Moving to Node #0,0,2
Current State: 24:[7, 31], Operations: ['62-55=7', '41-10=31']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
86,
54,
6,
11
] | 15 | [
"86-54=32",
"6+11=17",
"32-17=15"
] | Current State: 15:[86, 54, 6, 11], Operations: []
Exploring Operation: 86-54=32, Resulting Numbers: [6, 11, 32]
Generated Node #2: [6, 11, 32] from Operation: 86-54=32
Current State: 15:[6, 11, 32], Operations: ['86-54=32']
Exploring Operation: 6+11=17, Resulting Numbers: [32, 17]
Generated Node #3: [32, 17] from Operation: 6+11=17
Current State: 15:[32, 17], Operations: ['86-54=32', '6+11=17']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[86, 54, 6, 11], Operations: []
Exploring Operation: 86-54=32, Resulting Numbers: [6, 11, 32]
Generated Node #0,0: 15:[6, 11, 32] Operation: 86-54=32
Exploring Operation: 54-11=43, Resulting Numbers: [86, 6, 43]
Generated Node #0,1: 15:[86, 6, 43] Operation: 54-11=43
Exploring Operation: 54/6=9, Resulting Numbers: [86, 11, 9]
Generated Node #0,2: 15:[86, 11, 9] Operation: 54/6=9
Exploring Operation: 86-11=75, Resulting Numbers: [54, 6, 75]
Generated Node #0,3: 15:[54, 6, 75] Operation: 86-11=75
Exploring Operation: 86-6=80, Resulting Numbers: [54, 11, 80]
Generated Node #0,4: 15:[54, 11, 80] Operation: 86-6=80
Moving to Node #0,0
Current State: 15:[6, 11, 32], Operations: ['86-54=32']
Exploring Operation: 11-6=5, Resulting Numbers: [32, 5]
Generated Node #0,0,0: 15:[32, 5] Operation: 11-6=5
Exploring Operation: 32-11=21, Resulting Numbers: [6, 21]
Generated Node #0,0,1: 15:[6, 21] Operation: 32-11=21
Exploring Operation: 6+11=17, Resulting Numbers: [32, 17]
Generated Node #0,0,2: 15:[32, 17] Operation: 6+11=17
Exploring Operation: 32-6=26, Resulting Numbers: [11, 26]
Generated Node #0,0,3: 15:[11, 26] Operation: 32-6=26
Exploring Operation: 6+32=38, Resulting Numbers: [11, 38]
Generated Node #0,0,4: 15:[11, 38] Operation: 6+32=38
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[6, 21], Operations: ['86-54=32', '32-11=21']
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[86, 54, 6, 11], Operations: []
Exploring Operation: 86-54=32, Resulting Numbers: [6, 11, 32]
Generated Node #0,0: 15:[6, 11, 32] Operation: 86-54=32
Moving to Node #0,0
Current State: 15:[6, 11, 32], Operations: ['86-54=32']
Exploring Operation: 32-11=21, Resulting Numbers: [6, 21]
Generated Node #0,0,1: 15:[6, 21] Operation: 32-11=21
Moving to Node #0,0,1
Current State: 15:[6, 21], Operations: ['86-54=32', '32-11=21']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
34,
90,
95,
80
] | 50 | [
"95-90=5",
"80/5=16",
"34+16=50"
] | Current State: 50:[34, 90, 95, 80], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [34, 80, 5]
Generated Node #2: [34, 80, 5] from Operation: 95-90=5
Current State: 50:[34, 80, 5], Operations: ['95-90=5']
Exploring Operation: 80/5=16, Resulting Numbers: [34, 16]
Generated Node #3: [34, 16] from Operation: 80/5=16
Current State: 50:[34, 16], Operations: ['95-90=5', '80/5=16']
Exploring Operation: 34+16=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[34, 90, 95, 80], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [34, 80, 5]
Generated Node #0,0: 50:[34, 80, 5] Operation: 95-90=5
Moving to Node #0,0
Current State: 50:[34, 80, 5], Operations: ['95-90=5']
Exploring Operation: 80-34=46, Resulting Numbers: [5, 46]
Generated Node #0,0,0: 50:[5, 46] Operation: 80-34=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[5, 46], Operations: ['95-90=5', '80-34=46']
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,50 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 |
[
29,
30,
58,
27
] | 26 | [
"29+30=59",
"58+27=85",
"85-59=26"
] | Current State: 26:[29, 30, 58, 27], Operations: []
Exploring Operation: 29+30=59, Resulting Numbers: [58, 27, 59]
Generated Node #2: [58, 27, 59] from Operation: 29+30=59
Current State: 26:[58, 27, 59], Operations: ['29+30=59']
Exploring Operation: 58+27=85, Resulting Numbers: [59, 85]
Generated Node #3: [59, 85] from Operation: 58+27=85
Current State: 26:[59, 85], Operations: ['29+30=59', '58+27=85']
Exploring Operation: 85-59=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[29, 30, 58, 27], Operations: []
Exploring Operation: 30-29=1, Resulting Numbers: [58, 27, 1]
Generated Node #0,0: 26:[58, 27, 1] Operation: 30-29=1
Exploring Operation: 58/29=2, Resulting Numbers: [30, 27, 2]
Generated Node #0,1: 26:[30, 27, 2] Operation: 58/29=2
Exploring Operation: 58-29=29, Resulting Numbers: [30, 27, 29]
Generated Node #0,2: 26:[30, 27, 29] Operation: 58-29=29
Exploring Operation: 58-30=28, Resulting Numbers: [29, 27, 28]
Generated Node #0,3: 26:[29, 27, 28] Operation: 58-30=28
Exploring Operation: 58-27=31, Resulting Numbers: [29, 30, 31]
Generated Node #0,4: 26:[29, 30, 31] Operation: 58-27=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[30, 27, 2], Operations: ['58/29=2']
Exploring Operation: 30+2=32, Resulting Numbers: [27, 32]
Generated Node #0,1,0: 26:[27, 32] Operation: 30+2=32
Exploring Operation: 30-2=28, Resulting Numbers: [27, 28]
Generated Node #0,1,1: 26:[27, 28] Operation: 30-2=28
Exploring Operation: 30/2=15, Resulting Numbers: [27, 15]
Generated Node #0,1,2: 26:[27, 15] Operation: 30/2=15
Exploring Operation: 30-27=3, Resulting Numbers: [2, 3]
Generated Node #0,1,3: 26:[2, 3] Operation: 30-27=3
Exploring Operation: 27-2=25, Resulting Numbers: [30, 25]
Generated Node #0,1,4: 26:[30, 25] Operation: 27-2=25
Moving to Node #0,1,3
Current State: 26:[2, 3], Operations: ['58/29=2', '30-27=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,26 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Moving to Node #0,1,2
Current State: 26:[27, 15], Operations: ['58/29=2', '30/2=15']
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,26 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[27, 28], Operations: ['58/29=2', '30-2=28']
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 27+28=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 27*28=756, Resulting Numbers: [756]
756,26 unequal: No Solution
Moving to Node #0,1,4
Current State: 26:[30, 25], Operations: ['58/29=2', '27-2=25']
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,26 unequal: No Solution
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 30*25=750, Resulting Numbers: [750]
750,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[27, 32], Operations: ['58/29=2', '30+2=32']
Exploring Operation: 27+32=59, Resulting Numbers: [59]
59,26 unequal: No Solution
Exploring Operation: 27*32=864, Resulting Numbers: [864]
864,26 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[29, 27, 28], Operations: ['58-30=28']
Exploring Operation: 29-28=1, Resulting Numbers: [27, 1]
Generated Node #0,3,0: 26:[27, 1] Operation: 29-28=1
Exploring Operation: 28-27=1, Resulting Numbers: [29, 1]
Generated Node #0,3,1: 26:[29, 1] Operation: 28-27=1
Exploring Operation: 29+27=56, Resulting Numbers: [28, 56]
Generated Node #0,3,2: 26:[28, 56] Operation: 29+27=56
Exploring Operation: 29+28=57, Resulting Numbers: [27, 57]
Generated Node #0,3,3: 26:[27, 57] Operation: 29+28=57
Exploring Operation: 29-27=2, Resulting Numbers: [28, 2]
Generated Node #0,3,4: 26:[28, 2] Operation: 29-27=2
Moving to Node #0,3,0
Current State: 26:[27, 1], Operations: ['58-30=28', '29-28=1']
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[29, 30, 58, 27], Operations: []
Exploring Operation: 58-30=28, Resulting Numbers: [29, 27, 28]
Generated Node #0,3: 26:[29, 27, 28] Operation: 58-30=28
Moving to Node #0,3
Current State: 26:[29, 27, 28], Operations: ['58-30=28']
Exploring Operation: 29-28=1, Resulting Numbers: [27, 1]
Generated Node #0,3,0: 26:[27, 1] Operation: 29-28=1
Moving to Node #0,3,0
Current State: 26:[27, 1], Operations: ['58-30=28', '29-28=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | sum_heuristic |
[
34,
3,
56,
11
] | 30 | [
"34+3=37",
"56+11=67",
"67-37=30"
] | Current State: 30:[34, 3, 56, 11], Operations: []
Exploring Operation: 34+3=37, Resulting Numbers: [56, 11, 37]
Generated Node #2: [56, 11, 37] from Operation: 34+3=37
Current State: 30:[56, 11, 37], Operations: ['34+3=37']
Exploring Operation: 56+11=67, Resulting Numbers: [37, 67]
Generated Node #3: [37, 67] from Operation: 56+11=67
Current State: 30:[37, 67], Operations: ['34+3=37', '56+11=67']
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[34, 3, 56, 11], Operations: []
Exploring Operation: 56-11=45, Resulting Numbers: [34, 3, 45]
Generated Node #0,0: 30:[34, 3, 45] Operation: 56-11=45
Exploring Operation: 3+11=14, Resulting Numbers: [34, 56, 14]
Generated Node #0,1: 30:[34, 56, 14] Operation: 3+11=14
Exploring Operation: 56-34=22, Resulting Numbers: [3, 11, 22]
Generated Node #0,2: 30:[3, 11, 22] Operation: 56-34=22
Exploring Operation: 34-3=31, Resulting Numbers: [56, 11, 31]
Generated Node #0,3: 30:[56, 11, 31] Operation: 34-3=31
Exploring Operation: 56-3=53, Resulting Numbers: [34, 11, 53]
Generated Node #0,4: 30:[34, 11, 53] Operation: 56-3=53
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[3, 11, 22], Operations: ['56-34=22']
Exploring Operation: 22/11=2, Resulting Numbers: [3, 2]
Generated Node #0,2,0: 30:[3, 2] Operation: 22/11=2
Exploring Operation: 11+22=33, Resulting Numbers: [3, 33]
Generated Node #0,2,1: 30:[3, 33] Operation: 11+22=33
Exploring Operation: 3+22=25, Resulting Numbers: [11, 25]
Generated Node #0,2,2: 30:[11, 25] Operation: 3+22=25
Exploring Operation: 22-11=11, Resulting Numbers: [3, 11]
Generated Node #0,2,3: 30:[3, 11] Operation: 22-11=11
Exploring Operation: 22-3=19, Resulting Numbers: [11, 19]
Generated Node #0,2,4: 30:[11, 19] Operation: 22-3=19
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 30:[3, 2], Operations: ['56-34=22', '22/11=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 30:[3, 11], Operations: ['56-34=22', '22-11=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,30 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,30 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 #0,2,1
Current State: 30:[3, 33], Operations: ['56-34=22', '11+22=33']
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,30 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[34, 3, 56, 11], Operations: []
Exploring Operation: 56-34=22, Resulting Numbers: [3, 11, 22]
Generated Node #0,2: 30:[3, 11, 22] Operation: 56-34=22
Moving to Node #0,2
Current State: 30:[3, 11, 22], Operations: ['56-34=22']
Exploring Operation: 11+22=33, Resulting Numbers: [3, 33]
Generated Node #0,2,1: 30:[3, 33] Operation: 11+22=33
Moving to Node #0,2,1
Current State: 30:[3, 33], Operations: ['56-34=22', '11+22=33']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
98,
49,
29,
33
] | 13 | [
"98-49=49",
"29+33=62",
"62-49=13"
] | Current State: 13:[98, 49, 29, 33], Operations: []
Exploring Operation: 98-49=49, Resulting Numbers: [29, 33, 49]
Generated Node #2: [29, 33, 49] from Operation: 98-49=49
Current State: 13:[29, 33, 49], Operations: ['98-49=49']
Exploring Operation: 29+33=62, Resulting Numbers: [49, 62]
Generated Node #3: [49, 62] from Operation: 29+33=62
Current State: 13:[49, 62], Operations: ['98-49=49', '29+33=62']
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[98, 49, 29, 33], Operations: []
Exploring Operation: 98-33=65, Resulting Numbers: [49, 29, 65]
Generated Node #0,0: 13:[49, 29, 65] Operation: 98-33=65
Exploring Operation: 98/49=2, Resulting Numbers: [29, 33, 2]
Generated Node #0,1: 13:[29, 33, 2] Operation: 98/49=2
Exploring Operation: 98-49=49, Resulting Numbers: [29, 33, 49]
Generated Node #0,2: 13:[29, 33, 49] Operation: 98-49=49
Exploring Operation: 49-33=16, Resulting Numbers: [98, 29, 16]
Generated Node #0,3: 13:[98, 29, 16] Operation: 49-33=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[29, 33, 2], Operations: ['98/49=2']
Exploring Operation: 33-2=31, Resulting Numbers: [29, 31]
Generated Node #0,1,0: 13:[29, 31] Operation: 33-2=31
Exploring Operation: 29+2=31, Resulting Numbers: [33, 31]
Generated Node #0,1,1: 13:[33, 31] Operation: 29+2=31
Exploring Operation: 29-2=27, Resulting Numbers: [33, 27]
Generated Node #0,1,2: 13:[33, 27] Operation: 29-2=27
Exploring Operation: 33-29=4, Resulting Numbers: [2, 4]
Generated Node #0,1,3: 13:[2, 4] Operation: 33-29=4
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 13:[2, 4], Operations: ['98/49=2', '33-29=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 13:[29, 31], Operations: ['98/49=2', '33-2=31']
Exploring Operation: 29+31=60, Resulting Numbers: [60]
60,13 unequal: No Solution
Exploring Operation: 29*31=899, Resulting Numbers: [899]
899,13 unequal: No Solution
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 13:[33, 27], Operations: ['98/49=2', '29-2=27']
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,13 unequal: No Solution
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 33*27=891, Resulting Numbers: [891]
891,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 13:[33, 31], Operations: ['98/49=2', '29+2=31']
Exploring Operation: 33+31=64, Resulting Numbers: [64]
64,13 unequal: No Solution
Exploring Operation: 33*31=1023, Resulting Numbers: [1023]
1023,13 unequal: No Solution
Exploring Operation: 33-31=2, Resulting Numbers: [2]
2,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[29, 33, 49], Operations: ['98-49=49']
Exploring Operation: 29+33=62, Resulting Numbers: [49, 62]
Generated Node #0,2,0: 13:[49, 62] Operation: 29+33=62
Exploring Operation: 49-29=20, Resulting Numbers: [33, 20]
Generated Node #0,2,1: 13:[33, 20] Operation: 49-29=20
Exploring Operation: 49-33=16, Resulting Numbers: [29, 16]
Generated Node #0,2,2: 13:[29, 16] Operation: 49-33=16
Exploring Operation: 33-29=4, Resulting Numbers: [49, 4]
Generated Node #0,2,3: 13:[49, 4] Operation: 33-29=4
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 13:[29, 16], Operations: ['98-49=49', '49-33=16']
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[98, 49, 29, 33], Operations: []
Exploring Operation: 98-49=49, Resulting Numbers: [29, 33, 49]
Generated Node #0,2: 13:[29, 33, 49] Operation: 98-49=49
Moving to Node #0,2
Current State: 13:[29, 33, 49], Operations: ['98-49=49']
Exploring Operation: 49-33=16, Resulting Numbers: [29, 16]
Generated Node #0,2,2: 13:[29, 16] Operation: 49-33=16
Moving to Node #0,2,2
Current State: 13:[29, 16], Operations: ['98-49=49', '49-33=16']
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
75,
62,
80,
73
] | 22 | [
"75-73=2",
"80/2=40",
"62-40=22"
] | Current State: 22:[75, 62, 80, 73], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [62, 80, 2]
Generated Node #2: [62, 80, 2] from Operation: 75-73=2
Current State: 22:[62, 80, 2], Operations: ['75-73=2']
Exploring Operation: 80/2=40, Resulting Numbers: [62, 40]
Generated Node #3: [62, 40] from Operation: 80/2=40
Current State: 22:[62, 40], Operations: ['75-73=2', '80/2=40']
Exploring Operation: 62-40=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[75, 62, 80, 73], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [62, 73, 5]
Generated Node #0,0: 22:[62, 73, 5] Operation: 80-75=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[62, 73, 5], Operations: ['80-75=5']
Exploring Operation: 73-62=11, Resulting Numbers: [5, 11]
Generated Node #0,0,0: 22:[5, 11] Operation: 73-62=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[5, 11], Operations: ['80-75=5', '73-62=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,22 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 |
[
96,
23,
36,
78
] | 31 | [
"96-23=73",
"78-36=42",
"73-42=31"
] | Current State: 31:[96, 23, 36, 78], Operations: []
Exploring Operation: 96-23=73, Resulting Numbers: [36, 78, 73]
Generated Node #2: [36, 78, 73] from Operation: 96-23=73
Current State: 31:[36, 78, 73], Operations: ['96-23=73']
Exploring Operation: 78-36=42, Resulting Numbers: [73, 42]
Generated Node #3: [73, 42] from Operation: 78-36=42
Current State: 31:[73, 42], Operations: ['96-23=73', '78-36=42']
Exploring Operation: 73-42=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[96, 23, 36, 78], Operations: []
Exploring Operation: 78-36=42, Resulting Numbers: [96, 23, 42]
Generated Node #0,0: 31:[96, 23, 42] Operation: 78-36=42
Exploring Operation: 96-78=18, Resulting Numbers: [23, 36, 18]
Generated Node #0,1: 31:[23, 36, 18] Operation: 96-78=18
Exploring Operation: 78-23=55, Resulting Numbers: [96, 36, 55]
Generated Node #0,2: 31:[96, 36, 55] Operation: 78-23=55
Exploring Operation: 96-36=60, Resulting Numbers: [23, 78, 60]
Generated Node #0,3: 31:[23, 78, 60] Operation: 96-36=60
Exploring Operation: 96-23=73, Resulting Numbers: [36, 78, 73]
Generated Node #0,4: 31:[36, 78, 73] Operation: 96-23=73
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[23, 36, 18], Operations: ['96-78=18']
Exploring Operation: 23+18=41, Resulting Numbers: [36, 41]
Generated Node #0,1,0: 31:[36, 41] Operation: 23+18=41
Exploring Operation: 36+18=54, Resulting Numbers: [23, 54]
Generated Node #0,1,1: 31:[23, 54] Operation: 36+18=54
Exploring Operation: 36-18=18, Resulting Numbers: [23, 18]
Generated Node #0,1,2: 31:[23, 18] Operation: 36-18=18
Exploring Operation: 23-18=5, Resulting Numbers: [36, 5]
Generated Node #0,1,3: 31:[36, 5] Operation: 23-18=5
Exploring Operation: 36-23=13, Resulting Numbers: [18, 13]
Generated Node #0,1,4: 31:[18, 13] Operation: 36-23=13
Moving to Node #0,1,0
Current State: 31:[36, 41], Operations: ['96-78=18', '23+18=41']
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 36+41=77, Resulting Numbers: [77]
77,31 unequal: No Solution
Exploring Operation: 36*41=1476, Resulting Numbers: [1476]
1476,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[23, 18], Operations: ['96-78=18', '36-18=18']
Exploring Operation: 23*18=414, Resulting Numbers: [414]
414,31 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[23, 54], Operations: ['96-78=18', '36+18=54']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[96, 23, 36, 78], Operations: []
Exploring Operation: 96-78=18, Resulting Numbers: [23, 36, 18]
Generated Node #0,1: 31:[23, 36, 18] Operation: 96-78=18
Moving to Node #0,1
Current State: 31:[23, 36, 18], Operations: ['96-78=18']
Exploring Operation: 36+18=54, Resulting Numbers: [23, 54]
Generated Node #0,1,1: 31:[23, 54] Operation: 36+18=54
Moving to Node #0,1,1
Current State: 31:[23, 54], Operations: ['96-78=18', '36+18=54']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
86,
13,
87,
12
] | 99 | [
"86*12=1032",
"13*87=1131",
"1131-1032=99"
] | Current State: 99:[86, 13, 87, 12], Operations: []
Exploring Operation: 86*12=1032, Resulting Numbers: [13, 87, 1032]
Generated Node #2: [13, 87, 1032] from Operation: 86*12=1032
Current State: 99:[13, 87, 1032], Operations: ['86*12=1032']
Exploring Operation: 13*87=1131, Resulting Numbers: [1032, 1131]
Generated Node #3: [1032, 1131] from Operation: 13*87=1131
Current State: 99:[1032, 1131], Operations: ['86*12=1032', '13*87=1131']
Exploring Operation: 1131-1032=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[86, 13, 87, 12], Operations: []
Exploring Operation: 87-86=1, Resulting Numbers: [13, 12, 1]
Generated Node #0,0: 99:[13, 12, 1] Operation: 87-86=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[13, 12, 1], Operations: ['87-86=1']
Exploring Operation: 13-1=12, Resulting Numbers: [12, 12]
Generated Node #0,0,0: 99:[12, 12] Operation: 13-1=12
Moving to Node #0,0,0
Current State: 99:[12, 12], Operations: ['87-86=1', '13-1=12']
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
59,
68,
2,
11
] | 69 | [
"59+68=127",
"11+127=138",
"138/2=69"
] | Current State: 69:[59, 68, 2, 11], Operations: []
Exploring Operation: 59+68=127, Resulting Numbers: [2, 11, 127]
Generated Node #2: [2, 11, 127] from Operation: 59+68=127
Current State: 69:[2, 11, 127], Operations: ['59+68=127']
Exploring Operation: 11+127=138, Resulting Numbers: [2, 138]
Generated Node #3: [2, 138] from Operation: 11+127=138
Current State: 69:[2, 138], Operations: ['59+68=127', '11+127=138']
Exploring Operation: 138/2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[59, 68, 2, 11], Operations: []
Exploring Operation: 59+11=70, Resulting Numbers: [68, 2, 70]
Generated Node #0,0: 69:[68, 2, 70] Operation: 59+11=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[68, 2, 70], Operations: ['59+11=70']
Exploring Operation: 68+2=70, Resulting Numbers: [70, 70]
Generated Node #0,0,0: 69:[70, 70] Operation: 68+2=70
Moving to Node #0,0,0
Current State: 69:[70, 70], Operations: ['59+11=70', '68+2=70']
Exploring Operation: 70/70=1, Resulting Numbers: [1]
1,69 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 |
[
19,
76,
72,
65
] | 47 | [
"76/19=4",
"72/4=18",
"65-18=47"
] | Current State: 47:[19, 76, 72, 65], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [72, 65, 4]
Generated Node #2: [72, 65, 4] from Operation: 76/19=4
Current State: 47:[72, 65, 4], Operations: ['76/19=4']
Exploring Operation: 72/4=18, Resulting Numbers: [65, 18]
Generated Node #3: [65, 18] from Operation: 72/4=18
Current State: 47:[65, 18], Operations: ['76/19=4', '72/4=18']
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[19, 76, 72, 65], Operations: []
Exploring Operation: 76-19=57, Resulting Numbers: [72, 65, 57]
Generated Node #0,0: 47:[72, 65, 57] Operation: 76-19=57
Exploring Operation: 65-19=46, Resulting Numbers: [76, 72, 46]
Generated Node #0,1: 47:[76, 72, 46] Operation: 65-19=46
Exploring Operation: 72-19=53, Resulting Numbers: [76, 65, 53]
Generated Node #0,2: 47:[76, 65, 53] Operation: 72-19=53
Moving to Node #0,0
Current State: 47:[72, 65, 57], Operations: ['76-19=57']
Exploring Operation: 72-65=7, Resulting Numbers: [57, 7]
Generated Node #0,0,0: 47:[57, 7] Operation: 72-65=7
Exploring Operation: 65-57=8, Resulting Numbers: [72, 8]
Generated Node #0,0,1: 47:[72, 8] Operation: 65-57=8
Exploring Operation: 72-57=15, Resulting Numbers: [65, 15]
Generated Node #0,0,2: 47:[65, 15] Operation: 72-57=15
Moving to Node #0,2
Current State: 47:[76, 65, 53], Operations: ['72-19=53']
Exploring Operation: 76-53=23, Resulting Numbers: [65, 23]
Generated Node #0,2,0: 47:[65, 23] Operation: 76-53=23
Exploring Operation: 76-65=11, Resulting Numbers: [53, 11]
Generated Node #0,2,1: 47:[53, 11] Operation: 76-65=11
Exploring Operation: 65-53=12, Resulting Numbers: [76, 12]
Generated Node #0,2,2: 47:[76, 12] Operation: 65-53=12
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[65, 23], Operations: ['72-19=53', '76-53=23']
Exploring Operation: 65*23=1495, Resulting Numbers: [1495]
1495,47 unequal: No Solution
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,47 unequal: No Solution
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[53, 11], Operations: ['72-19=53', '76-65=11']
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,47 unequal: No Solution
Exploring Operation: 53*11=583, Resulting Numbers: [583]
583,47 unequal: No Solution
Exploring Operation: 53+11=64, Resulting Numbers: [64]
64,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[76, 12], Operations: ['72-19=53', '65-53=12']
Exploring Operation: 76+12=88, Resulting Numbers: [88]
88,47 unequal: No Solution
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,47 unequal: No Solution
Exploring Operation: 76*12=912, Resulting Numbers: [912]
912,47 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: 47:[76, 72, 46], Operations: ['65-19=46']
Exploring Operation: 76-46=30, Resulting Numbers: [72, 30]
Generated Node #0,1,0: 47:[72, 30] Operation: 76-46=30
Exploring Operation: 72-46=26, Resulting Numbers: [76, 26]
Generated Node #0,1,1: 47:[76, 26] Operation: 72-46=26
Exploring Operation: 76-72=4, Resulting Numbers: [46, 4]
Generated Node #0,1,2: 47:[46, 4] Operation: 76-72=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[72, 30], Operations: ['65-19=46', '76-46=30']
Exploring Operation: 72+30=102, Resulting Numbers: [102]
102,47 unequal: No Solution
Exploring Operation: 72*30=2160, Resulting Numbers: [2160]
2160,47 unequal: No Solution
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[46, 4], Operations: ['65-19=46', '76-72=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,47 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,47 unequal: No Solution
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[76, 26], Operations: ['65-19=46', '72-46=26']
Exploring Operation: 76*26=1976, Resulting Numbers: [1976]
1976,47 unequal: No Solution
Exploring Operation: 76-26=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Exploring Operation: 76+26=102, Resulting Numbers: [102]
102,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 47:[57, 7], Operations: ['76-19=57', '72-65=7']
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,47 unequal: No Solution
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Exploring Operation: 57*7=399, Resulting Numbers: [399]
399,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[65, 15], Operations: ['76-19=57', '72-57=15']
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Exploring Operation: 65*15=975, Resulting Numbers: [975]
975,47 unequal: No Solution
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[72, 8], Operations: ['76-19=57', '65-57=8']
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,47 unequal: No Solution
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,47 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
24,
19,
31,
17
] | 86 | [
"19-17=2",
"31*2=62",
"24+62=86"
] | Current State: 86:[24, 19, 31, 17], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [24, 31, 2]
Generated Node #2: [24, 31, 2] from Operation: 19-17=2
Current State: 86:[24, 31, 2], Operations: ['19-17=2']
Exploring Operation: 31*2=62, Resulting Numbers: [24, 62]
Generated Node #3: [24, 62] from Operation: 31*2=62
Current State: 86:[24, 62], Operations: ['19-17=2', '31*2=62']
Exploring Operation: 24+62=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[24, 19, 31, 17], Operations: []
Exploring Operation: 24+19=43, Resulting Numbers: [31, 17, 43]
Generated Node #0,0: 86:[31, 17, 43] Operation: 24+19=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[31, 17, 43], Operations: ['24+19=43']
Exploring Operation: 31+17=48, Resulting Numbers: [43, 48]
Generated Node #0,0,0: 86:[43, 48] Operation: 31+17=48
Moving to Node #0,0,0
Current State: 86:[43, 48], Operations: ['24+19=43', '31+17=48']
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,86 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 |
[
20,
98,
20,
2
] | 19 | [
"98-20=78",
"78/2=39",
"39-20=19"
] | Current State: 19:[20, 98, 20, 2], Operations: []
Exploring Operation: 98-20=78, Resulting Numbers: [2, 78]
Generated Node #2: [2, 78] from Operation: 98-20=78
Current State: 19:[2, 78], Operations: ['98-20=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,19 equal: Goal Reached
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[20, 98, 20, 2], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [20, 20, 49]
Generated Node #0,0: 19:[20, 20, 49] Operation: 98/2=49
Exploring Operation: 98-20=78, Resulting Numbers: [20, 2, 78]
Generated Node #0,1: 19:[20, 2, 78] Operation: 98-20=78
Moving to Node #0,0
Current State: 19:[20, 20, 49], Operations: ['98/2=49']
Exploring Operation: 49-20=29, Resulting Numbers: [20, 29]
Generated Node #0,0,0: 19:[20, 29] Operation: 49-20=29
Exploring Operation: 49-20=29, Resulting Numbers: [20, 29]
Generated Node #0,0,1: 19:[20, 29] Operation: 49-20=29
Moving to Node #0,1
Current State: 19:[20, 2, 78], Operations: ['98-20=78']
Exploring Operation: 78/2=39, Resulting Numbers: [20, 39]
Generated Node #0,1,0: 19:[20, 39] Operation: 78/2=39
Exploring Operation: 78-20=58, Resulting Numbers: [2, 58]
Generated Node #0,1,1: 19:[2, 58] Operation: 78-20=58
Moving to Node #0,0,0
Current State: 19:[20, 29], Operations: ['98/2=49', '49-20=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,19 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[20, 29], Operations: ['98/2=49', '49-20=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,19 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[20, 39], Operations: ['98-20=78', '78/2=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[20, 98, 20, 2], Operations: []
Exploring Operation: 98-20=78, Resulting Numbers: [20, 2, 78]
Generated Node #0,1: 19:[20, 2, 78] Operation: 98-20=78
Moving to Node #0,1
Current State: 19:[20, 2, 78], Operations: ['98-20=78']
Exploring Operation: 78/2=39, Resulting Numbers: [20, 39]
Generated Node #0,1,0: 19:[20, 39] Operation: 78/2=39
Moving to Node #0,1,0
Current State: 19:[20, 39], Operations: ['98-20=78', '78/2=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
2,
11,
65,
53
] | 63 | [
"11+53=64",
"2*64=128",
"128-65=63"
] | Current State: 63:[2, 11, 65, 53], Operations: []
Exploring Operation: 11+53=64, Resulting Numbers: [2, 65, 64]
Generated Node #2: [2, 65, 64] from Operation: 11+53=64
Current State: 63:[2, 65, 64], Operations: ['11+53=64']
Exploring Operation: 2*64=128, Resulting Numbers: [65, 128]
Generated Node #3: [65, 128] from Operation: 2*64=128
Current State: 63:[65, 128], Operations: ['11+53=64', '2*64=128']
Exploring Operation: 128-65=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[2, 11, 65, 53], Operations: []
Exploring Operation: 11+53=64, Resulting Numbers: [2, 65, 64]
Generated Node #0,0: 63:[2, 65, 64] Operation: 11+53=64
Exploring Operation: 65-53=12, Resulting Numbers: [2, 11, 12]
Generated Node #0,1: 63:[2, 11, 12] Operation: 65-53=12
Moving to Node #0,0
Current State: 63:[2, 65, 64], Operations: ['11+53=64']
Exploring Operation: 64-2=62, Resulting Numbers: [65, 62]
Generated Node #0,0,0: 63:[65, 62] Operation: 64-2=62
Exploring Operation: 65-2=63, Resulting Numbers: [64, 63]
Generated Node #0,0,1: 63:[64, 63] Operation: 65-2=63
Moving to Node #0,1
Current State: 63:[2, 11, 12], Operations: ['65-53=12']
Exploring Operation: 11-2=9, Resulting Numbers: [12, 9]
Generated Node #0,1,0: 63:[12, 9] Operation: 11-2=9
Exploring Operation: 12-2=10, Resulting Numbers: [11, 10]
Generated Node #0,1,1: 63:[11, 10] Operation: 12-2=10
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[12, 9], Operations: ['65-53=12', '11-2=9']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[11, 10], Operations: ['65-53=12', '12-2=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,63 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: 63:[64, 63], Operations: ['11+53=64', '65-2=63']
Exploring Operation: 64+63=127, Resulting Numbers: [127]
127,63 unequal: No Solution
Exploring Operation: 64-63=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[65, 62], Operations: ['11+53=64', '64-2=62']
Exploring Operation: 65+62=127, Resulting Numbers: [127]
127,63 unequal: No Solution
Exploring Operation: 65-62=3, Resulting Numbers: [3]
3,63 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
7,
58,
7,
83
] | 92 | [
"7*7=49",
"58+83=141",
"141-49=92"
] | Current State: 92:[7, 58, 7, 83], Operations: []
Exploring Operation: 7*7=49, Resulting Numbers: [58, 83, 49]
Generated Node #2: [58, 83, 49] from Operation: 7*7=49
Current State: 92:[58, 83, 49], Operations: ['7*7=49']
Exploring Operation: 58+83=141, Resulting Numbers: [49, 141]
Generated Node #3: [49, 141] from Operation: 58+83=141
Current State: 92:[49, 141], Operations: ['7*7=49', '58+83=141']
Exploring Operation: 141-49=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[7, 58, 7, 83], Operations: []
Exploring Operation: 83-58=25, Resulting Numbers: [7, 7, 25]
Generated Node #0,0: 92:[7, 7, 25] Operation: 83-58=25
Exploring Operation: 58-7=51, Resulting Numbers: [7, 83, 51]
Generated Node #0,1: 92:[7, 83, 51] Operation: 58-7=51
Exploring Operation: 7+83=90, Resulting Numbers: [58, 7, 90]
Generated Node #0,2: 92:[58, 7, 90] Operation: 7+83=90
Exploring Operation: 58-7=51, Resulting Numbers: [7, 83, 51]
Generated Node #0,3: 92:[7, 83, 51] Operation: 58-7=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[7, 7, 25], Operations: ['83-58=25']
Exploring Operation: 7/7=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 92:[25, 1] Operation: 7/7=1
Exploring Operation: 7-7=0, Resulting Numbers: [25, 0]
Generated Node #0,0,1: 92:[25, 0] Operation: 7-7=0
Exploring Operation: 7*7=49, Resulting Numbers: [25, 49]
Generated Node #0,0,2: 92:[25, 49] Operation: 7*7=49
Exploring Operation: 25-7=18, Resulting Numbers: [7, 18]
Generated Node #0,0,3: 92:[7, 18] Operation: 25-7=18
Moving to Node #0,0,0
Current State: 92:[25, 1], Operations: ['83-58=25', '7/7=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[25, 0], Operations: ['83-58=25', '7-7=0']
Exploring Operation: 25-0=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 25+0=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 25*0=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[25, 49], Operations: ['83-58=25', '7*7=49']
Exploring Operation: 25+49=74, Resulting Numbers: [74]
74,92 unequal: No Solution
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 25*49=1225, Resulting Numbers: [1225]
1225,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[7, 18], Operations: ['83-58=25', '25-7=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,92 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,92 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[7, 83, 51], Operations: ['58-7=51']
Exploring Operation: 83-51=32, Resulting Numbers: [7, 32]
Generated Node #0,1,0: 92:[7, 32] Operation: 83-51=32
Exploring Operation: 51-7=44, Resulting Numbers: [83, 44]
Generated Node #0,1,1: 92:[83, 44] Operation: 51-7=44
Exploring Operation: 7+83=90, Resulting Numbers: [51, 90]
Generated Node #0,1,2: 92:[51, 90] Operation: 7+83=90
Exploring Operation: 83-7=76, Resulting Numbers: [51, 76]
Generated Node #0,1,3: 92:[51, 76] Operation: 83-7=76
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 92:[51, 90], Operations: ['58-7=51', '7+83=90']
Exploring Operation: 51+90=141, Resulting Numbers: [141]
141,92 unequal: No Solution
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 51*90=4590, Resulting Numbers: [4590]
4590,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[83, 44], Operations: ['58-7=51', '51-7=44']
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 83+44=127, Resulting Numbers: [127]
127,92 unequal: No Solution
Exploring Operation: 83*44=3652, Resulting Numbers: [3652]
3652,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[7, 32], Operations: ['58-7=51', '83-51=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,92 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 92:[51, 76], Operations: ['58-7=51', '83-7=76']
Exploring Operation: 51*76=3876, Resulting Numbers: [3876]
3876,92 unequal: No Solution
Exploring Operation: 76-51=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 51+76=127, Resulting Numbers: [127]
127,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[58, 7, 90], Operations: ['7+83=90']
Exploring Operation: 90-58=32, Resulting Numbers: [7, 32]
Generated Node #0,2,0: 92:[7, 32] Operation: 90-58=32
Exploring Operation: 58-7=51, Resulting Numbers: [90, 51]
Generated Node #0,2,1: 92:[90, 51] Operation: 58-7=51
Exploring Operation: 58+7=65, Resulting Numbers: [90, 65]
Generated Node #0,2,2: 92:[90, 65] Operation: 58+7=65
Exploring Operation: 7+90=97, Resulting Numbers: [58, 97]
Generated Node #0,2,3: 92:[58, 97] Operation: 7+90=97
Moving to Node #0,2,1
Current State: 92:[90, 51], Operations: ['7+83=90', '58-7=51']
Exploring Operation: 90+51=141, Resulting Numbers: [141]
141,92 unequal: No Solution
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 90*51=4590, Resulting Numbers: [4590]
4590,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[7, 32], Operations: ['7+83=90', '90-58=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,92 unequal: No Solution
Moving to Node #0,2,3
Current State: 92:[58, 97], Operations: ['7+83=90', '7+90=97']
Exploring Operation: 97-58=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 58+97=155, Resulting Numbers: [155]
155,92 unequal: No Solution
Exploring Operation: 58*97=5626, Resulting Numbers: [5626]
5626,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[90, 65], Operations: ['7+83=90', '58+7=65']
Exploring Operation: 90+65=155, Resulting Numbers: [155]
155,92 unequal: No Solution
Exploring Operation: 90*65=5850, Resulting Numbers: [5850]
5850,92 unequal: No Solution
Exploring Operation: 90-65=25, Resulting Numbers: [25]
25,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[7, 83, 51], Operations: ['58-7=51']
Exploring Operation: 83-51=32, Resulting Numbers: [7, 32]
Generated Node #0,3,0: 92:[7, 32] Operation: 83-51=32
Exploring Operation: 51-7=44, Resulting Numbers: [83, 44]
Generated Node #0,3,1: 92:[83, 44] Operation: 51-7=44
Exploring Operation: 7+83=90, Resulting Numbers: [51, 90]
Generated Node #0,3,2: 92:[51, 90] Operation: 7+83=90
Exploring Operation: 83-7=76, Resulting Numbers: [51, 76]
Generated Node #0,3,3: 92:[51, 76] Operation: 83-7=76
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 92:[51, 90], Operations: ['58-7=51', '7+83=90']
Exploring Operation: 51+90=141, Resulting Numbers: [141]
141,92 unequal: No Solution
Exploring Operation: 51*90=4590, Resulting Numbers: [4590]
4590,92 unequal: No Solution
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 92:[83, 44], Operations: ['58-7=51', '51-7=44']
Exploring Operation: 83+44=127, Resulting Numbers: [127]
127,92 unequal: No Solution
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 83*44=3652, Resulting Numbers: [3652]
3652,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 92:[7, 32], Operations: ['58-7=51', '83-51=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 92:[51, 76], Operations: ['58-7=51', '83-7=76']
Exploring Operation: 51+76=127, Resulting Numbers: [127]
127,92 unequal: No Solution
Exploring Operation: 51*76=3876, Resulting Numbers: [3876]
3876,92 unequal: No Solution
Exploring Operation: 76-51=25, Resulting Numbers: [25]
25,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
81,
33,
55,
36
] | 82 | [
"36-33=3",
"81/3=27",
"55+27=82"
] | Current State: 82:[81, 33, 55, 36], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [81, 55, 3]
Generated Node #2: [81, 55, 3] from Operation: 36-33=3
Current State: 82:[81, 55, 3], Operations: ['36-33=3']
Exploring Operation: 81/3=27, Resulting Numbers: [55, 27]
Generated Node #3: [55, 27] from Operation: 81/3=27
Current State: 82:[55, 27], Operations: ['36-33=3', '81/3=27']
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[81, 33, 55, 36], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [81, 55, 3]
Generated Node #0,0: 82:[81, 55, 3] Operation: 36-33=3
Exploring Operation: 33+55=88, Resulting Numbers: [81, 36, 88]
Generated Node #0,1: 82:[81, 36, 88] Operation: 33+55=88
Exploring Operation: 55+36=91, Resulting Numbers: [81, 33, 91]
Generated Node #0,2: 82:[81, 33, 91] Operation: 55+36=91
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[81, 36, 88], Operations: ['33+55=88']
Exploring Operation: 88-81=7, Resulting Numbers: [36, 7]
Generated Node #0,1,0: 82:[36, 7] Operation: 88-81=7
Exploring Operation: 81-36=45, Resulting Numbers: [88, 45]
Generated Node #0,1,1: 82:[88, 45] Operation: 81-36=45
Exploring Operation: 88-36=52, Resulting Numbers: [81, 52]
Generated Node #0,1,2: 82:[81, 52] Operation: 88-36=52
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[36, 7], Operations: ['33+55=88', '88-81=7']
Exploring Operation: 36+7=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 36*7=252, Resulting Numbers: [252]
252,82 unequal: No Solution
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,82 unequal: No Solution
No 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: 82:[88, 45], Operations: ['33+55=88', '81-36=45']
Exploring Operation: 88-45=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 88*45=3960, Resulting Numbers: [3960]
3960,82 unequal: No Solution
Exploring Operation: 88+45=133, Resulting Numbers: [133]
133,82 unequal: No Solution
No 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: 82:[81, 52], Operations: ['33+55=88', '88-36=52']
Exploring Operation: 81+52=133, Resulting Numbers: [133]
133,82 unequal: No Solution
Exploring Operation: 81-52=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 81*52=4212, Resulting Numbers: [4212]
4212,82 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: 82:[81, 55, 3], Operations: ['36-33=3']
Exploring Operation: 81-55=26, Resulting Numbers: [3, 26]
Generated Node #0,0,0: 82:[3, 26] Operation: 81-55=26
Exploring Operation: 81+3=84, Resulting Numbers: [55, 84]
Generated Node #0,0,1: 82:[55, 84] Operation: 81+3=84
Exploring Operation: 55-3=52, Resulting Numbers: [81, 52]
Generated Node #0,0,2: 82:[81, 52] Operation: 55-3=52
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 82:[81, 52], Operations: ['36-33=3', '55-3=52']
Exploring Operation: 81+52=133, Resulting Numbers: [133]
133,82 unequal: No Solution
Exploring Operation: 81*52=4212, Resulting Numbers: [4212]
4212,82 unequal: No Solution
Exploring Operation: 81-52=29, Resulting Numbers: [29]
29,82 unequal: No Solution
No 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: 82:[3, 26], Operations: ['36-33=3', '81-55=26']
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,82 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,82 unequal: No Solution
No 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: 82:[55, 84], Operations: ['36-33=3', '81+3=84']
Exploring Operation: 55+84=139, Resulting Numbers: [139]
139,82 unequal: No Solution
Exploring Operation: 84-55=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 55*84=4620, Resulting Numbers: [4620]
4620,82 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: 82:[81, 33, 91], Operations: ['55+36=91']
Exploring Operation: 91-81=10, Resulting Numbers: [33, 10]
Generated Node #0,2,0: 82:[33, 10] Operation: 91-81=10
Exploring Operation: 81-33=48, Resulting Numbers: [91, 48]
Generated Node #0,2,1: 82:[91, 48] Operation: 81-33=48
Exploring Operation: 91-33=58, Resulting Numbers: [81, 58]
Generated Node #0,2,2: 82:[81, 58] Operation: 91-33=58
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 82:[33, 10], Operations: ['55+36=91', '91-81=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,82 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,82 unequal: No Solution
No 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: 82:[91, 48], Operations: ['55+36=91', '81-33=48']
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 91+48=139, Resulting Numbers: [139]
139,82 unequal: No Solution
Exploring Operation: 91*48=4368, Resulting Numbers: [4368]
4368,82 unequal: No Solution
No 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: 82:[81, 58], Operations: ['55+36=91', '91-33=58']
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 81+58=139, Resulting Numbers: [139]
139,82 unequal: No Solution
Exploring Operation: 81*58=4698, Resulting Numbers: [4698]
4698,82 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 |
[
59,
23,
84,
33
] | 21 | [
"59+33=92",
"23*84=1932",
"1932/92=21"
] | Current State: 21:[59, 23, 84, 33], Operations: []
Exploring Operation: 59+33=92, Resulting Numbers: [23, 84, 92]
Generated Node #2: [23, 84, 92] from Operation: 59+33=92
Current State: 21:[23, 84, 92], Operations: ['59+33=92']
Exploring Operation: 23*84=1932, Resulting Numbers: [92, 1932]
Generated Node #3: [92, 1932] from Operation: 23*84=1932
Current State: 21:[92, 1932], Operations: ['59+33=92', '23*84=1932']
Exploring Operation: 1932/92=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[59, 23, 84, 33], Operations: []
Exploring Operation: 84-59=25, Resulting Numbers: [23, 33, 25]
Generated Node #0,0: 21:[23, 33, 25] Operation: 84-59=25
Exploring Operation: 84-33=51, Resulting Numbers: [59, 23, 51]
Generated Node #0,1: 21:[59, 23, 51] Operation: 84-33=51
Exploring Operation: 59-33=26, Resulting Numbers: [23, 84, 26]
Generated Node #0,2: 21:[23, 84, 26] Operation: 59-33=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[23, 33, 25], Operations: ['84-59=25']
Exploring Operation: 33-25=8, Resulting Numbers: [23, 8]
Generated Node #0,0,0: 21:[23, 8] Operation: 33-25=8
Exploring Operation: 25-23=2, Resulting Numbers: [33, 2]
Generated Node #0,0,1: 21:[33, 2] Operation: 25-23=2
Exploring Operation: 33-23=10, Resulting Numbers: [25, 10]
Generated Node #0,0,2: 21:[25, 10] Operation: 33-23=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[23, 8], Operations: ['84-59=25', '33-25=8']
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,21 unequal: No Solution
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,21 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,21 unequal: No Solution
No 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: 21:[25, 10], Operations: ['84-59=25', '33-23=10']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,21 unequal: No Solution
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,21 unequal: No Solution
No 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: 21:[33, 2], Operations: ['84-59=25', '25-23=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,21 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,21 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,21 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: 21:[59, 23, 51], Operations: ['84-33=51']
Exploring Operation: 59-23=36, Resulting Numbers: [51, 36]
Generated Node #0,1,0: 21:[51, 36] Operation: 59-23=36
Exploring Operation: 51-23=28, Resulting Numbers: [59, 28]
Generated Node #0,1,1: 21:[59, 28] Operation: 51-23=28
Exploring Operation: 59-51=8, Resulting Numbers: [23, 8]
Generated Node #0,1,2: 21:[23, 8] Operation: 59-51=8
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 21:[23, 8], Operations: ['84-33=51', '59-51=8']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,21 unequal: No Solution
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,21 unequal: No Solution
No 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: 21:[51, 36], Operations: ['84-33=51', '59-23=36']
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 51+36=87, Resulting Numbers: [87]
87,21 unequal: No Solution
Exploring Operation: 51*36=1836, Resulting Numbers: [1836]
1836,21 unequal: No Solution
No 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: 21:[59, 28], Operations: ['84-33=51', '51-23=28']
Exploring Operation: 59*28=1652, Resulting Numbers: [1652]
1652,21 unequal: No Solution
Exploring Operation: 59+28=87, Resulting Numbers: [87]
87,21 unequal: No Solution
Exploring Operation: 59-28=31, Resulting Numbers: [31]
31,21 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: 21:[23, 84, 26], Operations: ['59-33=26']
Exploring Operation: 84-23=61, Resulting Numbers: [26, 61]
Generated Node #0,2,0: 21:[26, 61] Operation: 84-23=61
Exploring Operation: 26-23=3, Resulting Numbers: [84, 3]
Generated Node #0,2,1: 21:[84, 3] Operation: 26-23=3
Exploring Operation: 84-26=58, Resulting Numbers: [23, 58]
Generated Node #0,2,2: 21:[23, 58] Operation: 84-26=58
Moving to Node #0,2,2
Current State: 21:[23, 58], Operations: ['59-33=26', '84-26=58']
Exploring Operation: 23+58=81, Resulting Numbers: [81]
81,21 unequal: No Solution
Exploring Operation: 23*58=1334, Resulting Numbers: [1334]
1334,21 unequal: No Solution
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,21 unequal: No Solution
Moving to Node #0,2,0
Current State: 21:[26, 61], Operations: ['59-33=26', '84-23=61']
Exploring Operation: 26*61=1586, Resulting Numbers: [1586]
1586,21 unequal: No Solution
Exploring Operation: 26+61=87, Resulting Numbers: [87]
87,21 unequal: No Solution
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,21 unequal: No Solution
Moving to Node #0,2,1
Current State: 21:[84, 3], Operations: ['59-33=26', '26-23=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,21 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,21 unequal: No Solution
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,21 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,
85,
73,
86
] | 61 | [
"13+85=98",
"73+86=159",
"159-98=61"
] | Current State: 61:[13, 85, 73, 86], Operations: []
Exploring Operation: 13+85=98, Resulting Numbers: [73, 86, 98]
Generated Node #2: [73, 86, 98] from Operation: 13+85=98
Current State: 61:[73, 86, 98], Operations: ['13+85=98']
Exploring Operation: 73+86=159, Resulting Numbers: [98, 159]
Generated Node #3: [98, 159] from Operation: 73+86=159
Current State: 61:[98, 159], Operations: ['13+85=98', '73+86=159']
Exploring Operation: 159-98=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[13, 85, 73, 86], Operations: []
Exploring Operation: 85-13=72, Resulting Numbers: [73, 86, 72]
Generated Node #0,0: 61:[73, 86, 72] Operation: 85-13=72
Exploring Operation: 86-13=73, Resulting Numbers: [85, 73, 73]
Generated Node #0,1: 61:[85, 73, 73] Operation: 86-13=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[73, 86, 72], Operations: ['85-13=72']
Exploring Operation: 86-72=14, Resulting Numbers: [73, 14]
Generated Node #0,0,0: 61:[73, 14] Operation: 86-72=14
Exploring Operation: 86-73=13, Resulting Numbers: [72, 13]
Generated Node #0,0,1: 61:[72, 13] Operation: 86-73=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[73, 14], Operations: ['85-13=72', '86-72=14']
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,61 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 #0,0,1
Current State: 61:[72, 13], Operations: ['85-13=72', '86-73=13']
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,61 unequal: No Solution
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,61 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 #0,1
Current State: 61:[85, 73, 73], Operations: ['86-13=73']
Exploring Operation: 85-73=12, Resulting Numbers: [73, 12]
Generated Node #0,1,0: 61:[73, 12] Operation: 85-73=12
Exploring Operation: 85-73=12, Resulting Numbers: [73, 12]
Generated Node #0,1,1: 61:[73, 12] Operation: 85-73=12
Moving to Node #0,1,0
Current State: 61:[73, 12], Operations: ['86-13=73', '85-73=12']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[13, 85, 73, 86], Operations: []
Exploring Operation: 86-13=73, Resulting Numbers: [85, 73, 73]
Generated Node #0,1: 61:[85, 73, 73] Operation: 86-13=73
Moving to Node #0,1
Current State: 61:[85, 73, 73], Operations: ['86-13=73']
Exploring Operation: 85-73=12, Resulting Numbers: [73, 12]
Generated Node #0,1,0: 61:[73, 12] Operation: 85-73=12
Moving to Node #0,1,0
Current State: 61:[73, 12], Operations: ['86-13=73', '85-73=12']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
12,
14,
4,
7
] | 94 | [
"12*7=84",
"14-4=10",
"84+10=94"
] | Current State: 94:[12, 14, 4, 7], Operations: []
Exploring Operation: 12*7=84, Resulting Numbers: [14, 4, 84]
Generated Node #2: [14, 4, 84] from Operation: 12*7=84
Current State: 94:[14, 4, 84], Operations: ['12*7=84']
Exploring Operation: 14-4=10, Resulting Numbers: [84, 10]
Generated Node #3: [84, 10] from Operation: 14-4=10
Current State: 94:[84, 10], Operations: ['12*7=84', '14-4=10']
Exploring Operation: 84+10=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[12, 14, 4, 7], Operations: []
Exploring Operation: 14-7=7, Resulting Numbers: [12, 4, 7]
Generated Node #0,0: 94:[12, 4, 7] Operation: 14-7=7
Exploring Operation: 14/7=2, Resulting Numbers: [12, 4, 2]
Generated Node #0,1: 94:[12, 4, 2] Operation: 14/7=2
Exploring Operation: 12-7=5, Resulting Numbers: [14, 4, 5]
Generated Node #0,2: 94:[14, 4, 5] Operation: 12-7=5
Exploring Operation: 14-12=2, Resulting Numbers: [4, 7, 2]
Generated Node #0,3: 94:[4, 7, 2] Operation: 14-12=2
Exploring Operation: 14*7=98, Resulting Numbers: [12, 4, 98]
Generated Node #0,4: 94:[12, 4, 98] Operation: 14*7=98
Start Sub Search at level 1: Moving to Node #0,3
Current State: 94:[4, 7, 2], Operations: ['14-12=2']
Exploring Operation: 4+7=11, Resulting Numbers: [2, 11]
Generated Node #0,3,0: 94:[2, 11] Operation: 4+7=11
Exploring Operation: 7-4=3, Resulting Numbers: [2, 3]
Generated Node #0,3,1: 94:[2, 3] Operation: 7-4=3
Exploring Operation: 7-2=5, Resulting Numbers: [4, 5]
Generated Node #0,3,2: 94:[4, 5] Operation: 7-2=5
Exploring Operation: 4-2=2, Resulting Numbers: [7, 2]
Generated Node #0,3,3: 94:[7, 2] Operation: 4-2=2
Exploring Operation: 4/2=2, Resulting Numbers: [7, 2]
Generated Node #0,3,4: 94:[7, 2] Operation: 4/2=2
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 94:[2, 3], Operations: ['14-12=2', '7-4=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,94 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 94:[4, 5], Operations: ['14-12=2', '7-2=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,94 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 94:[7, 2], Operations: ['14-12=2', '4-2=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,94 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 94:[7, 2], Operations: ['14-12=2', '4/2=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,94 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 94:[2, 11], Operations: ['14-12=2', '4+7=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,94 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[12, 4, 2], Operations: ['14/7=2']
Exploring Operation: 12/4=3, Resulting Numbers: [2, 3]
Generated Node #0,1,0: 94:[2, 3] Operation: 12/4=3
Exploring Operation: 12*4=48, Resulting Numbers: [2, 48]
Generated Node #0,1,1: 94:[2, 48] Operation: 12*4=48
Exploring Operation: 12-4=8, Resulting Numbers: [2, 8]
Generated Node #0,1,2: 94:[2, 8] Operation: 12-4=8
Exploring Operation: 12/2=6, Resulting Numbers: [4, 6]
Generated Node #0,1,3: 94:[4, 6] Operation: 12/2=6
Exploring Operation: 12-2=10, Resulting Numbers: [4, 10]
Generated Node #0,1,4: 94:[4, 10] Operation: 12-2=10
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[2, 3], Operations: ['14/7=2', '12/4=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,94 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 94:[2, 48], Operations: ['14/7=2', '12*4=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,94 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,94 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,94 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 94:[2, 8], Operations: ['14/7=2', '12-4=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,94 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,94 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 94:[4, 6], Operations: ['14/7=2', '12/2=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,94 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 94:[4, 10], Operations: ['14/7=2', '12-2=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,94 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,94 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 94:[12, 4, 98], Operations: ['14*7=98']
Exploring Operation: 12/4=3, Resulting Numbers: [98, 3]
Generated Node #0,4,0: 94:[98, 3] Operation: 12/4=3
Exploring Operation: 98-12=86, Resulting Numbers: [4, 86]
Generated Node #0,4,1: 94:[4, 86] Operation: 98-12=86
Exploring Operation: 12*4=48, Resulting Numbers: [98, 48]
Generated Node #0,4,2: 94:[98, 48] Operation: 12*4=48
Exploring Operation: 98-4=94, Resulting Numbers: [12, 94]
Generated Node #0,4,3: 94:[12, 94] Operation: 98-4=94
Exploring Operation: 12-4=8, Resulting Numbers: [98, 8]
Generated Node #0,4,4: 94:[98, 8] Operation: 12-4=8
Moving to Node #0,4,0
Current State: 94:[98, 3], Operations: ['14*7=98', '12/4=3']
Exploring Operation: 98+3=101, Resulting Numbers: [101]
101,94 unequal: No Solution
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,94 unequal: No Solution
Exploring Operation: 98*3=294, Resulting Numbers: [294]
294,94 unequal: No Solution
Moving to Node #0,4,2
Current State: 94:[98, 48], Operations: ['14*7=98', '12*4=48']
Exploring Operation: 98*48=4704, Resulting Numbers: [4704]
4704,94 unequal: No Solution
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,94 unequal: No Solution
Exploring Operation: 98+48=146, Resulting Numbers: [146]
146,94 unequal: No Solution
Moving to Node #0,4,1
Current State: 94:[4, 86], Operations: ['14*7=98', '98-12=86']
Exploring Operation: 4*86=344, Resulting Numbers: [344]
344,94 unequal: No Solution
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,94 unequal: No Solution
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,94 unequal: No Solution
Moving to Node #0,4,3
Current State: 94:[12, 94], Operations: ['14*7=98', '98-4=94']
Exploring Operation: 94-12=82, Resulting Numbers: [82]
82,94 unequal: No Solution
Exploring Operation: 12+94=106, Resulting Numbers: [106]
106,94 unequal: No Solution
Exploring Operation: 12*94=1128, Resulting Numbers: [1128]
1128,94 unequal: No Solution
Moving to Node #0,4,4
Current State: 94:[98, 8], Operations: ['14*7=98', '12-4=8']
Exploring Operation: 98+8=106, Resulting Numbers: [106]
106,94 unequal: No Solution
Exploring Operation: 98*8=784, Resulting Numbers: [784]
784,94 unequal: No Solution
Exploring Operation: 98-8=90, Resulting Numbers: [90]
90,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[12, 4, 7], Operations: ['14-7=7']
Exploring Operation: 12-7=5, Resulting Numbers: [4, 5]
Generated Node #0,0,0: 94:[4, 5] Operation: 12-7=5
Exploring Operation: 7-4=3, Resulting Numbers: [12, 3]
Generated Node #0,0,1: 94:[12, 3] Operation: 7-4=3
Exploring Operation: 12/4=3, Resulting Numbers: [7, 3]
Generated Node #0,0,2: 94:[7, 3] Operation: 12/4=3
Exploring Operation: 12*4=48, Resulting Numbers: [7, 48]
Generated Node #0,0,3: 94:[7, 48] Operation: 12*4=48
Exploring Operation: 12-4=8, Resulting Numbers: [7, 8]
Generated Node #0,0,4: 94:[7, 8] Operation: 12-4=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[4, 5], Operations: ['14-7=7', '12-7=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,94 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 94:[7, 3], Operations: ['14-7=7', '12/4=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,94 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 94:[7, 48], Operations: ['14-7=7', '12*4=48']
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,94 unequal: No Solution
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 94:[12, 3], Operations: ['14-7=7', '7-4=3']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,94 unequal: No Solution
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,94 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 94:[7, 8], Operations: ['14-7=7', '12-4=8']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,94 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 94:[14, 4, 5], Operations: ['12-7=5']
Exploring Operation: 14+4=18, Resulting Numbers: [5, 18]
Generated Node #0,2,0: 94:[5, 18] Operation: 14+4=18
Exploring Operation: 14-4=10, Resulting Numbers: [5, 10]
Generated Node #0,2,1: 94:[5, 10] Operation: 14-4=10
Exploring Operation: 5-4=1, Resulting Numbers: [14, 1]
Generated Node #0,2,2: 94:[14, 1] Operation: 5-4=1
Exploring Operation: 14-5=9, Resulting Numbers: [4, 9]
Generated Node #0,2,3: 94:[4, 9] Operation: 14-5=9
Exploring Operation: 14*4=56, Resulting Numbers: [5, 56]
Generated Node #0,2,4: 94:[5, 56] Operation: 14*4=56
Moving to Node #0,2,3
Current State: 94:[4, 9], Operations: ['12-7=5', '14-5=9']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,94 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,94 unequal: No Solution
Moving to Node #0,2,1
Current State: 94:[5, 10], Operations: ['12-7=5', '14-4=10']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,94 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,94 unequal: No Solution
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,94 unequal: No Solution
Moving to Node #0,2,4
Current State: 94:[5, 56], Operations: ['12-7=5', '14*4=56']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Exploring Operation: 5+56=61, Resulting Numbers: [61]
61,94 unequal: No Solution
Exploring Operation: 5*56=280, Resulting Numbers: [280]
280,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[14, 1], Operations: ['12-7=5', '5-4=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,94 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,94 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,94 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,94 unequal: No Solution
Moving to Node #0,2,0
Current State: 94:[5, 18], Operations: ['12-7=5', '14+4=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,94 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,94 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,94 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 |
[
5,
25,
26,
3
] | 16 | [
"5+25=30",
"30/3=10",
"26-10=16"
] | Current State: 16:[5, 25, 26, 3], Operations: []
Exploring Operation: 5+25=30, Resulting Numbers: [26, 3, 30]
Generated Node #2: [26, 3, 30] from Operation: 5+25=30
Current State: 16:[26, 3, 30], Operations: ['5+25=30']
Exploring Operation: 30/3=10, Resulting Numbers: [26, 10]
Generated Node #3: [26, 10] from Operation: 30/3=10
Current State: 16:[26, 10], Operations: ['5+25=30', '30/3=10']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[5, 25, 26, 3], Operations: []
Exploring Operation: 25-5=20, Resulting Numbers: [26, 3, 20]
Generated Node #0,0: 16:[26, 3, 20] Operation: 25-5=20
Exploring Operation: 25/5=5, Resulting Numbers: [26, 3, 5]
Generated Node #0,1: 16:[26, 3, 5] Operation: 25/5=5
Exploring Operation: 26-5=21, Resulting Numbers: [25, 3, 21]
Generated Node #0,2: 16:[25, 3, 21] Operation: 26-5=21
Exploring Operation: 25-3=22, Resulting Numbers: [5, 26, 22]
Generated Node #0,3: 16:[5, 26, 22] Operation: 25-3=22
Exploring Operation: 26-25=1, Resulting Numbers: [5, 3, 1]
Generated Node #0,4: 16:[5, 3, 1] Operation: 26-25=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 16:[5, 3, 1], Operations: ['26-25=1']
Exploring Operation: 5+3=8, Resulting Numbers: [1, 8]
Generated Node #0,4,0: 16:[1, 8] Operation: 5+3=8
Exploring Operation: 5-3=2, Resulting Numbers: [1, 2]
Generated Node #0,4,1: 16:[1, 2] Operation: 5-3=2
Exploring Operation: 5-1=4, Resulting Numbers: [3, 4]
Generated Node #0,4,2: 16:[3, 4] Operation: 5-1=4
Exploring Operation: 3+1=4, Resulting Numbers: [5, 4]
Generated Node #0,4,3: 16:[5, 4] Operation: 3+1=4
Exploring Operation: 3-1=2, Resulting Numbers: [5, 2]
Generated Node #0,4,4: 16:[5, 2] Operation: 3-1=2
Moving to Node #0,4,0
Current State: 16:[1, 8], Operations: ['26-25=1', '5+3=8']
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 1+8=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Moving to Node #0,4,2
Current State: 16:[3, 4], Operations: ['26-25=1', '5-1=4']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Moving to Node #0,4,4
Current State: 16:[5, 2], Operations: ['26-25=1', '3-1=2']
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,16 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Moving to Node #0,4,1
Current State: 16:[1, 2], Operations: ['26-25=1', '5-3=2']
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Moving to Node #0,4,3
Current State: 16:[5, 4], Operations: ['26-25=1', '3+1=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,16 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
Current State: 16:[26, 3, 5], Operations: ['25/5=5']
Exploring Operation: 26-5=21, Resulting Numbers: [3, 21]
Generated Node #0,1,0: 16:[3, 21] Operation: 26-5=21
Exploring Operation: 3+5=8, Resulting Numbers: [26, 8]
Generated Node #0,1,1: 16:[26, 8] Operation: 3+5=8
Exploring Operation: 26-3=23, Resulting Numbers: [5, 23]
Generated Node #0,1,2: 16:[5, 23] Operation: 26-3=23
Exploring Operation: 5-3=2, Resulting Numbers: [26, 2]
Generated Node #0,1,3: 16:[26, 2] Operation: 5-3=2
Exploring Operation: 3*5=15, Resulting Numbers: [26, 15]
Generated Node #0,1,4: 16:[26, 15] Operation: 3*5=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 16:[3, 21], Operations: ['25/5=5', '26-5=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,16 unequal: No Solution
No 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: 16:[5, 23], Operations: ['25/5=5', '26-3=23']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,16 unequal: No Solution
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,16 unequal: No Solution
No 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: 16:[26, 8], Operations: ['25/5=5', '3+5=8']
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,16 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,16 unequal: No Solution
No 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: 16:[26, 2], Operations: ['25/5=5', '5-3=2']
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,16 unequal: No Solution
No 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: 16:[26, 15], Operations: ['25/5=5', '3*5=15']
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,16 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,16 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: 16:[26, 3, 20], Operations: ['25-5=20']
Exploring Operation: 3+20=23, Resulting Numbers: [26, 23]
Generated Node #0,0,0: 16:[26, 23] Operation: 3+20=23
Exploring Operation: 26+3=29, Resulting Numbers: [20, 29]
Generated Node #0,0,1: 16:[20, 29] Operation: 26+3=29
Exploring Operation: 20-3=17, Resulting Numbers: [26, 17]
Generated Node #0,0,2: 16:[26, 17] Operation: 20-3=17
Exploring Operation: 26-20=6, Resulting Numbers: [3, 6]
Generated Node #0,0,3: 16:[3, 6] Operation: 26-20=6
Exploring Operation: 26-3=23, Resulting Numbers: [20, 23]
Generated Node #0,0,4: 16:[20, 23] Operation: 26-3=23
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 16:[3, 6], Operations: ['25-5=20', '26-20=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,16 unequal: No Solution
No 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: 16:[26, 17], Operations: ['25-5=20', '20-3=17']
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,16 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,16 unequal: No Solution
No 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: 16:[20, 23], Operations: ['25-5=20', '26-3=23']
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 20*23=460, Resulting Numbers: [460]
460,16 unequal: No Solution
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,16 unequal: No Solution
No 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: 16:[26, 23], Operations: ['25-5=20', '3+20=23']
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,16 unequal: No Solution
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,16 unequal: No Solution
No 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: 16:[20, 29], Operations: ['25-5=20', '26+3=29']
Exploring Operation: 20*29=580, Resulting Numbers: [580]
580,16 unequal: No Solution
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,16 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: 16:[25, 3, 21], Operations: ['26-5=21']
Exploring Operation: 25-3=22, Resulting Numbers: [21, 22]
Generated Node #0,2,0: 16:[21, 22] Operation: 25-3=22
Exploring Operation: 21/3=7, Resulting Numbers: [25, 7]
Generated Node #0,2,1: 16:[25, 7] Operation: 21/3=7
Exploring Operation: 25+3=28, Resulting Numbers: [21, 28]
Generated Node #0,2,2: 16:[21, 28] Operation: 25+3=28
Exploring Operation: 25-21=4, Resulting Numbers: [3, 4]
Generated Node #0,2,3: 16:[3, 4] Operation: 25-21=4
Exploring Operation: 21-3=18, Resulting Numbers: [25, 18]
Generated Node #0,2,4: 16:[25, 18] Operation: 21-3=18
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 16:[3, 4], Operations: ['26-5=21', '25-21=4']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,16 unequal: No Solution
No 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: 16:[25, 7], Operations: ['26-5=21', '21/3=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 25*7=175, Resulting Numbers: [175]
175,16 unequal: No Solution
No 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: 16:[21, 22], Operations: ['26-5=21', '25-3=22']
Exploring Operation: 21*22=462, Resulting Numbers: [462]
462,16 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 21+22=43, Resulting Numbers: [43]
43,16 unequal: No Solution
No 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: 16:[25, 18], Operations: ['26-5=21', '21-3=18']
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,16 unequal: No Solution
No 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: 16:[21, 28], Operations: ['26-5=21', '25+3=28']
Exploring Operation: 28-21=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 21+28=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 21*28=588, Resulting Numbers: [588]
588,16 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: 16:[5, 26, 22], Operations: ['25-3=22']
Exploring Operation: 26-22=4, Resulting Numbers: [5, 4]
Generated Node #0,3,0: 16:[5, 4] Operation: 26-22=4
Exploring Operation: 5+22=27, Resulting Numbers: [26, 27]
Generated Node #0,3,1: 16:[26, 27] Operation: 5+22=27
Exploring Operation: 22-5=17, Resulting Numbers: [26, 17]
Generated Node #0,3,2: 16:[26, 17] Operation: 22-5=17
Exploring Operation: 5+26=31, Resulting Numbers: [22, 31]
Generated Node #0,3,3: 16:[22, 31] Operation: 5+26=31
Exploring Operation: 26-5=21, Resulting Numbers: [22, 21]
Generated Node #0,3,4: 16:[22, 21] Operation: 26-5=21
Moving to Node #0,3,0
Current State: 16:[5, 4], Operations: ['25-3=22', '26-22=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Moving to Node #0,3,4
Current State: 16:[22, 21], Operations: ['25-3=22', '26-5=21']
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 22*21=462, Resulting Numbers: [462]
462,16 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Moving to Node #0,3,2
Current State: 16:[26, 17], Operations: ['25-3=22', '22-5=17']
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,16 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Moving to Node #0,3,1
Current State: 16:[26, 27], Operations: ['25-3=22', '5+22=27']
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,16 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 26*27=702, Resulting Numbers: [702]
702,16 unequal: No Solution
Moving to Node #0,3,3
Current State: 16:[22, 31], Operations: ['25-3=22', '5+26=31']
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,16 unequal: No Solution
Exploring Operation: 22*31=682, Resulting Numbers: [682]
682,16 unequal: No Solution
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,16 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 |
[
55,
34,
57,
19
] | 63 | [
"55-34=21",
"57/19=3",
"21*3=63"
] | Current State: 63:[55, 34, 57, 19], Operations: []
Exploring Operation: 55-34=21, Resulting Numbers: [57, 19, 21]
Generated Node #2: [57, 19, 21] from Operation: 55-34=21
Current State: 63:[57, 19, 21], Operations: ['55-34=21']
Exploring Operation: 57/19=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 57/19=3
Current State: 63:[21, 3], Operations: ['55-34=21', '57/19=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[55, 34, 57, 19], Operations: []
Exploring Operation: 57-34=23, Resulting Numbers: [55, 19, 23]
Generated Node #0,0: 63:[55, 19, 23] Operation: 57-34=23
Exploring Operation: 55-34=21, Resulting Numbers: [57, 19, 21]
Generated Node #0,1: 63:[57, 19, 21] Operation: 55-34=21
Moving to Node #0,1
Current State: 63:[57, 19, 21], Operations: ['55-34=21']
Exploring Operation: 57/19=3, Resulting Numbers: [21, 3]
Generated Node #0,1,0: 63:[21, 3] Operation: 57/19=3
Exploring Operation: 21-19=2, Resulting Numbers: [57, 2]
Generated Node #0,1,1: 63:[57, 2] Operation: 21-19=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[21, 3], Operations: ['55-34=21', '57/19=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[55, 34, 57, 19], Operations: []
Exploring Operation: 55-34=21, Resulting Numbers: [57, 19, 21]
Generated Node #0,1: 63:[57, 19, 21] Operation: 55-34=21
Moving to Node #0,1
Current State: 63:[57, 19, 21], Operations: ['55-34=21']
Exploring Operation: 57/19=3, Resulting Numbers: [21, 3]
Generated Node #0,1,0: 63:[21, 3] Operation: 57/19=3
Moving to Node #0,1,0
Current State: 63:[21, 3], Operations: ['55-34=21', '57/19=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
66,
54,
13,
6
] | 59 | [
"66-54=12",
"6*12=72",
"72-13=59"
] | Current State: 59:[66, 54, 13, 6], Operations: []
Exploring Operation: 66-54=12, Resulting Numbers: [13, 6, 12]
Generated Node #2: [13, 6, 12] from Operation: 66-54=12
Current State: 59:[13, 6, 12], Operations: ['66-54=12']
Exploring Operation: 6*12=72, Resulting Numbers: [13, 72]
Generated Node #3: [13, 72] from Operation: 6*12=72
Current State: 59:[13, 72], Operations: ['66-54=12', '6*12=72']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[66, 54, 13, 6], Operations: []
Exploring Operation: 13+6=19, Resulting Numbers: [66, 54, 19]
Generated Node #0,0: 59:[66, 54, 19] Operation: 13+6=19
Exploring Operation: 13*6=78, Resulting Numbers: [66, 54, 78]
Generated Node #0,1: 59:[66, 54, 78] Operation: 13*6=78
Exploring Operation: 66-6=60, Resulting Numbers: [54, 13, 60]
Generated Node #0,2: 59:[54, 13, 60] Operation: 66-6=60
Moving to Node #0,1
Current State: 59:[66, 54, 78], Operations: ['13*6=78']
Exploring Operation: 66-54=12, Resulting Numbers: [78, 12]
Generated Node #0,1,0: 59:[78, 12] Operation: 66-54=12
Exploring Operation: 78-54=24, Resulting Numbers: [66, 24]
Generated Node #0,1,1: 59:[66, 24] Operation: 78-54=24
Exploring Operation: 78-66=12, Resulting Numbers: [54, 12]
Generated Node #0,1,2: 59:[54, 12] Operation: 78-66=12
Moving to Node #0,0
Current State: 59:[66, 54, 19], Operations: ['13+6=19']
Exploring Operation: 66-19=47, Resulting Numbers: [54, 47]
Generated Node #0,0,0: 59:[54, 47] Operation: 66-19=47
Exploring Operation: 54+19=73, Resulting Numbers: [66, 73]
Generated Node #0,0,1: 59:[66, 73] Operation: 54+19=73
Exploring Operation: 66+19=85, Resulting Numbers: [54, 85]
Generated Node #0,0,2: 59:[54, 85] Operation: 66+19=85
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[54, 47], Operations: ['13+6=19', '66-19=47']
Exploring Operation: 54-47=7, Resulting Numbers: [7]
7,59 unequal: No Solution
Exploring Operation: 54*47=2538, Resulting Numbers: [2538]
2538,59 unequal: No Solution
Exploring Operation: 54+47=101, Resulting Numbers: [101]
101,59 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:[66, 73], Operations: ['13+6=19', '54+19=73']
Exploring Operation: 66+73=139, Resulting Numbers: [139]
139,59 unequal: No Solution
Exploring Operation: 66*73=4818, Resulting Numbers: [4818]
4818,59 unequal: No Solution
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,59 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 #0,0,2
Current State: 59:[54, 85], Operations: ['13+6=19', '66+19=85']
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 54+85=139, Resulting Numbers: [139]
139,59 unequal: No Solution
Exploring Operation: 54*85=4590, Resulting Numbers: [4590]
4590,59 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:[54, 13, 60], Operations: ['66-6=60']
Exploring Operation: 60-13=47, Resulting Numbers: [54, 47]
Generated Node #0,2,0: 59:[54, 47] Operation: 60-13=47
Exploring Operation: 54+13=67, Resulting Numbers: [60, 67]
Generated Node #0,2,1: 59:[60, 67] Operation: 54+13=67
Exploring Operation: 54-13=41, Resulting Numbers: [60, 41]
Generated Node #0,2,2: 59:[60, 41] Operation: 54-13=41
Moving to Node #0,2,1
Current State: 59:[60, 67], Operations: ['66-6=60', '54+13=67']
Exploring Operation: 60+67=127, Resulting Numbers: [127]
127,59 unequal: No Solution
Exploring Operation: 60*67=4020, Resulting Numbers: [4020]
4020,59 unequal: No Solution
Exploring Operation: 67-60=7, Resulting Numbers: [7]
7,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[54, 47], Operations: ['66-6=60', '60-13=47']
Exploring Operation: 54*47=2538, Resulting Numbers: [2538]
2538,59 unequal: No Solution
Exploring Operation: 54+47=101, Resulting Numbers: [101]
101,59 unequal: No Solution
Exploring Operation: 54-47=7, Resulting Numbers: [7]
7,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[60, 41], Operations: ['66-6=60', '54-13=41']
Exploring Operation: 60*41=2460, Resulting Numbers: [2460]
2460,59 unequal: No Solution
Exploring Operation: 60-41=19, Resulting Numbers: [19]
19,59 unequal: No Solution
Exploring Operation: 60+41=101, Resulting Numbers: [101]
101,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[66, 24], Operations: ['13*6=78', '78-54=24']
Exploring Operation: 66*24=1584, Resulting Numbers: [1584]
1584,59 unequal: No Solution
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[54, 12], Operations: ['13*6=78', '78-66=12']
Exploring Operation: 54+12=66, Resulting Numbers: [66]
66,59 unequal: No Solution
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 54*12=648, Resulting Numbers: [648]
648,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[78, 12], Operations: ['13*6=78', '66-54=12']
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,59 unequal: No Solution
Exploring Operation: 78+12=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Exploring Operation: 78*12=936, Resulting Numbers: [936]
936,59 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
55,
47,
52,
35
] | 79 | [
"55-47=8",
"52+35=87",
"87-8=79"
] | Current State: 79:[55, 47, 52, 35], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [52, 35, 8]
Generated Node #2: [52, 35, 8] from Operation: 55-47=8
Current State: 79:[52, 35, 8], Operations: ['55-47=8']
Exploring Operation: 52+35=87, Resulting Numbers: [8, 87]
Generated Node #3: [8, 87] from Operation: 52+35=87
Current State: 79:[8, 87], Operations: ['55-47=8', '52+35=87']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[55, 47, 52, 35], Operations: []
Exploring Operation: 47+35=82, Resulting Numbers: [55, 52, 82]
Generated Node #0,0: 79:[55, 52, 82] Operation: 47+35=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[55, 52, 82], Operations: ['47+35=82']
Exploring Operation: 55+52=107, Resulting Numbers: [82, 107]
Generated Node #0,0,0: 79:[82, 107] Operation: 55+52=107
Moving to Node #0,0,0
Current State: 79:[82, 107], Operations: ['47+35=82', '55+52=107']
Exploring Operation: 107-82=25, Resulting Numbers: [25]
25,79 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 |
[
66,
20,
87,
77
] | 64 | [
"87-77=10",
"20/10=2",
"66-2=64"
] | Current State: 64:[66, 20, 87, 77], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [66, 20, 10]
Generated Node #2: [66, 20, 10] from Operation: 87-77=10
Current State: 64:[66, 20, 10], Operations: ['87-77=10']
Exploring Operation: 20/10=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 20/10=2
Current State: 64:[66, 2], Operations: ['87-77=10', '20/10=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[66, 20, 87, 77], Operations: []
Exploring Operation: 87-20=67, Resulting Numbers: [66, 77, 67]
Generated Node #0,0: 64:[66, 77, 67] Operation: 87-20=67
Exploring Operation: 87-77=10, Resulting Numbers: [66, 20, 10]
Generated Node #0,1: 64:[66, 20, 10] Operation: 87-77=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[66, 20, 10], Operations: ['87-77=10']
Exploring Operation: 20+10=30, Resulting Numbers: [66, 30]
Generated Node #0,1,0: 64:[66, 30] Operation: 20+10=30
Exploring Operation: 20/10=2, Resulting Numbers: [66, 2]
Generated Node #0,1,1: 64:[66, 2] Operation: 20/10=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[66, 2], Operations: ['87-77=10', '20/10=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[66, 20, 87, 77], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [66, 20, 10]
Generated Node #0,1: 64:[66, 20, 10] Operation: 87-77=10
Moving to Node #0,1
Current State: 64:[66, 20, 10], Operations: ['87-77=10']
Exploring Operation: 20/10=2, Resulting Numbers: [66, 2]
Generated Node #0,1,1: 64:[66, 2] Operation: 20/10=2
Moving to Node #0,1,1
Current State: 64:[66, 2], Operations: ['87-77=10', '20/10=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
30,
66,
49,
10
] | 20 | [
"30/10=3",
"66-49=17",
"3+17=20"
] | Current State: 20:[30, 66, 49, 10], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [66, 49, 3]
Generated Node #2: [66, 49, 3] from Operation: 30/10=3
Current State: 20:[66, 49, 3], Operations: ['30/10=3']
Exploring Operation: 66-49=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 66-49=17
Current State: 20:[3, 17], Operations: ['30/10=3', '66-49=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[30, 66, 49, 10], Operations: []
Exploring Operation: 66-49=17, Resulting Numbers: [30, 10, 17]
Generated Node #0,0: 20:[30, 10, 17] Operation: 66-49=17
Exploring Operation: 66-30=36, Resulting Numbers: [49, 10, 36]
Generated Node #0,1: 20:[49, 10, 36] Operation: 66-30=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[30, 10, 17], Operations: ['66-49=17']
Exploring Operation: 30-17=13, Resulting Numbers: [10, 13]
Generated Node #0,0,0: 20:[10, 13] Operation: 30-17=13
Exploring Operation: 30-10=20, Resulting Numbers: [17, 20]
Generated Node #0,0,1: 20:[17, 20] Operation: 30-10=20
Moving to Node #0,0,0
Current State: 20:[10, 13], Operations: ['66-49=17', '30-17=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,20 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Moving to Node #0,0,1
Current State: 20:[17, 20], Operations: ['66-49=17', '30-10=20']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[49, 10, 36], Operations: ['66-30=36']
Exploring Operation: 49-10=39, Resulting Numbers: [36, 39]
Generated Node #0,1,0: 20:[36, 39] Operation: 49-10=39
Exploring Operation: 49-36=13, Resulting Numbers: [10, 13]
Generated Node #0,1,1: 20:[10, 13] Operation: 49-36=13
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 20:[10, 13], Operations: ['66-30=36', '49-36=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,20 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,20 unequal: No Solution
No 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: 20:[36, 39], Operations: ['66-30=36', '49-10=39']
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 36+39=75, Resulting Numbers: [75]
75,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
34,
43,
26,
17
] | 71 | [
"34/17=2",
"43+26=69",
"2+69=71"
] | Current State: 71:[34, 43, 26, 17], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [43, 26, 2]
Generated Node #2: [43, 26, 2] from Operation: 34/17=2
Current State: 71:[43, 26, 2], Operations: ['34/17=2']
Exploring Operation: 43+26=69, Resulting Numbers: [2, 69]
Generated Node #3: [2, 69] from Operation: 43+26=69
Current State: 71:[2, 69], Operations: ['34/17=2', '43+26=69']
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[34, 43, 26, 17], Operations: []
Exploring Operation: 43+17=60, Resulting Numbers: [34, 26, 60]
Generated Node #0,0: 71:[34, 26, 60] Operation: 43+17=60
Exploring Operation: 34+17=51, Resulting Numbers: [43, 26, 51]
Generated Node #0,1: 71:[43, 26, 51] Operation: 34+17=51
Exploring Operation: 34+26=60, Resulting Numbers: [43, 17, 60]
Generated Node #0,2: 71:[43, 17, 60] Operation: 34+26=60
Exploring Operation: 26+17=43, Resulting Numbers: [34, 43, 43]
Generated Node #0,3: 71:[34, 43, 43] Operation: 26+17=43
Exploring Operation: 43+26=69, Resulting Numbers: [34, 17, 69]
Generated Node #0,4: 71:[34, 17, 69] Operation: 43+26=69
Moving to Node #0,0
Current State: 71:[34, 26, 60], Operations: ['43+17=60']
Exploring Operation: 26+60=86, Resulting Numbers: [34, 86]
Generated Node #0,0,0: 71:[34, 86] Operation: 26+60=86
Exploring Operation: 34+26=60, Resulting Numbers: [60, 60]
Generated Node #0,0,1: 71:[60, 60] Operation: 34+26=60
Exploring Operation: 34-26=8, Resulting Numbers: [60, 8]
Generated Node #0,0,2: 71:[60, 8] Operation: 34-26=8
Exploring Operation: 60-26=34, Resulting Numbers: [34, 34]
Generated Node #0,0,3: 71:[34, 34] Operation: 60-26=34
Exploring Operation: 34+60=94, Resulting Numbers: [26, 94]
Generated Node #0,0,4: 71:[26, 94] Operation: 34+60=94
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[60, 60], Operations: ['43+17=60', '34+26=60']
Exploring Operation: 60+60=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 60*60=3600, Resulting Numbers: [3600]
3600,71 unequal: No Solution
Exploring Operation: 60/60=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 60-60=0, Resulting Numbers: [0]
0,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[34, 86], Operations: ['43+17=60', '26+60=86']
Exploring Operation: 34+86=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 34*86=2924, Resulting Numbers: [2924]
2924,71 unequal: No Solution
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 71:[26, 94], Operations: ['43+17=60', '34+60=94']
Exploring Operation: 26*94=2444, Resulting Numbers: [2444]
2444,71 unequal: No Solution
Exploring Operation: 26+94=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 94-26=68, Resulting Numbers: [68]
68,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 71:[60, 8], Operations: ['43+17=60', '34-26=8']
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,71 unequal: No Solution
Exploring Operation: 60*8=480, Resulting Numbers: [480]
480,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 71:[34, 34], Operations: ['43+17=60', '60-26=34']
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 34*34=1156, Resulting Numbers: [1156]
1156,71 unequal: No Solution
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 71:[43, 17, 60], Operations: ['34+26=60']
Exploring Operation: 43-17=26, Resulting Numbers: [60, 26]
Generated Node #0,2,0: 71:[60, 26] Operation: 43-17=26
Exploring Operation: 43+60=103, Resulting Numbers: [17, 103]
Generated Node #0,2,1: 71:[17, 103] Operation: 43+60=103
Exploring Operation: 60-17=43, Resulting Numbers: [43, 43]
Generated Node #0,2,2: 71:[43, 43] Operation: 60-17=43
Exploring Operation: 17+60=77, Resulting Numbers: [43, 77]
Generated Node #0,2,3: 71:[43, 77] Operation: 17+60=77
Exploring Operation: 43+17=60, Resulting Numbers: [60, 60]
Generated Node #0,2,4: 71:[60, 60] Operation: 43+17=60
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 71:[60, 60], Operations: ['34+26=60', '43+17=60']
Exploring Operation: 60+60=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 60*60=3600, Resulting Numbers: [3600]
3600,71 unequal: No Solution
Exploring Operation: 60/60=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 60-60=0, Resulting Numbers: [0]
0,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 71:[43, 77], Operations: ['34+26=60', '17+60=77']
Exploring Operation: 43*77=3311, Resulting Numbers: [3311]
3311,71 unequal: No Solution
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 43+77=120, Resulting Numbers: [120]
120,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 71:[60, 26], Operations: ['34+26=60', '43-17=26']
Exploring Operation: 60*26=1560, Resulting Numbers: [1560]
1560,71 unequal: No Solution
Exploring Operation: 60+26=86, Resulting Numbers: [86]
86,71 unequal: No Solution
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 71:[43, 43], Operations: ['34+26=60', '60-17=43']
Exploring Operation: 43-43=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 43*43=1849, Resulting Numbers: [1849]
1849,71 unequal: No Solution
Exploring Operation: 43/43=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 43+43=86, Resulting Numbers: [86]
86,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 71:[17, 103], Operations: ['34+26=60', '43+60=103']
Exploring Operation: 103-17=86, Resulting Numbers: [86]
86,71 unequal: No Solution
Exploring Operation: 17*103=1751, Resulting Numbers: [1751]
1751,71 unequal: No Solution
Exploring Operation: 17+103=120, Resulting Numbers: [120]
120,71 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: 71:[34, 17, 69], Operations: ['43+26=69']
Exploring Operation: 69-17=52, Resulting Numbers: [34, 52]
Generated Node #0,4,0: 71:[34, 52] Operation: 69-17=52
Exploring Operation: 34-17=17, Resulting Numbers: [69, 17]
Generated Node #0,4,1: 71:[69, 17] Operation: 34-17=17
Exploring Operation: 34/17=2, Resulting Numbers: [69, 2]
Generated Node #0,4,2: 71:[69, 2] Operation: 34/17=2
Exploring Operation: 17+69=86, Resulting Numbers: [34, 86]
Generated Node #0,4,3: 71:[34, 86] Operation: 17+69=86
Exploring Operation: 34+17=51, Resulting Numbers: [69, 51]
Generated Node #0,4,4: 71:[69, 51] Operation: 34+17=51
Moving to Node #0,1
Current State: 71:[43, 26, 51], Operations: ['34+17=51']
Exploring Operation: 43+26=69, Resulting Numbers: [51, 69]
Generated Node #0,1,0: 71:[51, 69] Operation: 43+26=69
Exploring Operation: 43-26=17, Resulting Numbers: [51, 17]
Generated Node #0,1,1: 71:[51, 17] Operation: 43-26=17
Exploring Operation: 51-26=25, Resulting Numbers: [43, 25]
Generated Node #0,1,2: 71:[43, 25] Operation: 51-26=25
Exploring Operation: 43+51=94, Resulting Numbers: [26, 94]
Generated Node #0,1,3: 71:[26, 94] Operation: 43+51=94
Exploring Operation: 26+51=77, Resulting Numbers: [43, 77]
Generated Node #0,1,4: 71:[43, 77] Operation: 26+51=77
Moving to Node #0,3
Current State: 71:[34, 43, 43], Operations: ['26+17=43']
Exploring Operation: 34+43=77, Resulting Numbers: [43, 77]
Generated Node #0,3,0: 71:[43, 77] Operation: 34+43=77
Exploring Operation: 43-34=9, Resulting Numbers: [43, 9]
Generated Node #0,3,1: 71:[43, 9] Operation: 43-34=9
Exploring Operation: 43-34=9, Resulting Numbers: [43, 9]
Generated Node #0,3,2: 71:[43, 9] Operation: 43-34=9
Exploring Operation: 43+43=86, Resulting Numbers: [34, 86]
Generated Node #0,3,3: 71:[34, 86] Operation: 43+43=86
Exploring Operation: 34+43=77, Resulting Numbers: [43, 77]
Generated Node #0,3,4: 71:[43, 77] Operation: 34+43=77
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 71:[43, 77], Operations: ['26+17=43', '34+43=77']
Exploring Operation: 43*77=3311, Resulting Numbers: [3311]
3311,71 unequal: No Solution
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 43+77=120, Resulting Numbers: [120]
120,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 71:[43, 77], Operations: ['26+17=43', '34+43=77']
Exploring Operation: 43+77=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 43*77=3311, Resulting Numbers: [3311]
3311,71 unequal: No Solution
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 71:[34, 86], Operations: ['26+17=43', '43+43=86']
Exploring Operation: 34+86=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 34*86=2924, Resulting Numbers: [2924]
2924,71 unequal: No Solution
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 71:[43, 9], Operations: ['26+17=43', '43-34=9']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 43+9=52, Resulting Numbers: [52]
52,71 unequal: No Solution
Exploring Operation: 43*9=387, Resulting Numbers: [387]
387,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 71:[43, 9], Operations: ['26+17=43', '43-34=9']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 43+9=52, Resulting Numbers: [52]
52,71 unequal: No Solution
Exploring Operation: 43*9=387, Resulting Numbers: [387]
387,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,4
Current State: 71:[69, 51], Operations: ['43+26=69', '34+17=51']
Exploring Operation: 69+51=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 69*51=3519, Resulting Numbers: [3519]
3519,71 unequal: No Solution
Exploring Operation: 69-51=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[51, 69], Operations: ['34+17=51', '43+26=69']
Exploring Operation: 51+69=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 51*69=3519, Resulting Numbers: [3519]
3519,71 unequal: No Solution
Exploring Operation: 69-51=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Moving to Node #0,1,4
Current State: 71:[43, 77], Operations: ['34+17=51', '26+51=77']
Exploring Operation: 43*77=3311, Resulting Numbers: [3311]
3311,71 unequal: No Solution
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 43+77=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Moving to Node #0,4,3
Current State: 71:[34, 86], Operations: ['43+26=69', '17+69=86']
Exploring Operation: 34*86=2924, Resulting Numbers: [2924]
2924,71 unequal: No Solution
Exploring Operation: 34+86=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,71 unequal: No Solution
Moving to Node #0,4,0
Current State: 71:[34, 52], Operations: ['43+26=69', '69-17=52']
Exploring Operation: 34+52=86, Resulting Numbers: [86]
86,71 unequal: No Solution
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 34*52=1768, Resulting Numbers: [1768]
1768,71 unequal: No Solution
Moving to Node #0,4,1
Current State: 71:[69, 17], Operations: ['43+26=69', '34-17=17']
Exploring Operation: 69-17=52, Resulting Numbers: [52]
52,71 unequal: No Solution
Exploring Operation: 69+17=86, Resulting Numbers: [86]
86,71 unequal: No Solution
Exploring Operation: 69*17=1173, Resulting Numbers: [1173]
1173,71 unequal: No Solution
Moving to Node #0,1,3
Current State: 71:[26, 94], Operations: ['34+17=51', '43+51=94']
Exploring Operation: 26*94=2444, Resulting Numbers: [2444]
2444,71 unequal: No Solution
Exploring Operation: 94-26=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 26+94=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Moving to Node #0,4,2
Current State: 71:[69, 2], Operations: ['43+26=69', '34/17=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,71 unequal: No Solution
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[34, 43, 26, 17], Operations: []
Exploring Operation: 43+26=69, Resulting Numbers: [34, 17, 69]
Generated Node #0,4: 71:[34, 17, 69] Operation: 43+26=69
Moving to Node #0,4
Current State: 71:[34, 17, 69], Operations: ['43+26=69']
Exploring Operation: 34/17=2, Resulting Numbers: [69, 2]
Generated Node #0,4,2: 71:[69, 2] Operation: 34/17=2
Moving to Node #0,4,2
Current State: 71:[69, 2], Operations: ['43+26=69', '34/17=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 0.907986 | hs_5 | sum_heuristic |
[
55,
98,
93,
83
] | 94 | [
"98-93=5",
"55/5=11",
"83+11=94"
] | Current State: 94:[55, 98, 93, 83], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [55, 83, 5]
Generated Node #2: [55, 83, 5] from Operation: 98-93=5
Current State: 94:[55, 83, 5], Operations: ['98-93=5']
Exploring Operation: 55/5=11, Resulting Numbers: [83, 11]
Generated Node #3: [83, 11] from Operation: 55/5=11
Current State: 94:[83, 11], Operations: ['98-93=5', '55/5=11']
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[55, 98, 93, 83], Operations: []
Exploring Operation: 98-55=43, Resulting Numbers: [93, 83, 43]
Generated Node #0,0: 94:[93, 83, 43] Operation: 98-55=43
Exploring Operation: 98-83=15, Resulting Numbers: [55, 93, 15]
Generated Node #0,1: 94:[55, 93, 15] Operation: 98-83=15
Exploring Operation: 93-83=10, Resulting Numbers: [55, 98, 10]
Generated Node #0,2: 94:[55, 98, 10] Operation: 93-83=10
Exploring Operation: 98-93=5, Resulting Numbers: [55, 83, 5]
Generated Node #0,3: 94:[55, 83, 5] Operation: 98-93=5
Moving to Node #0,0
Current State: 94:[93, 83, 43], Operations: ['98-55=43']
Exploring Operation: 93-83=10, Resulting Numbers: [43, 10]
Generated Node #0,0,0: 94:[43, 10] Operation: 93-83=10
Exploring Operation: 83-43=40, Resulting Numbers: [93, 40]
Generated Node #0,0,1: 94:[93, 40] Operation: 83-43=40
Exploring Operation: 83+43=126, Resulting Numbers: [93, 126]
Generated Node #0,0,2: 94:[93, 126] Operation: 83+43=126
Exploring Operation: 93-43=50, Resulting Numbers: [83, 50]
Generated Node #0,0,3: 94:[83, 50] Operation: 93-43=50
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[93, 40], Operations: ['98-55=43', '83-43=40']
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 93+40=133, Resulting Numbers: [133]
133,94 unequal: No Solution
Exploring Operation: 93*40=3720, Resulting Numbers: [3720]
3720,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[43, 10], Operations: ['98-55=43', '93-83=10']
Exploring Operation: 43+10=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 43*10=430, Resulting Numbers: [430]
430,94 unequal: No Solution
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 94:[83, 50], Operations: ['98-55=43', '93-43=50']
Exploring Operation: 83-50=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 83*50=4150, Resulting Numbers: [4150]
4150,94 unequal: No Solution
Exploring Operation: 83+50=133, Resulting Numbers: [133]
133,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 94:[93, 126], Operations: ['98-55=43', '83+43=126']
Exploring Operation: 93+126=219, Resulting Numbers: [219]
219,94 unequal: No Solution
Exploring Operation: 93*126=11718, Resulting Numbers: [11718]
11718,94 unequal: No Solution
Exploring Operation: 126-93=33, Resulting Numbers: [33]
33,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 94:[55, 98, 10], Operations: ['93-83=10']
Exploring Operation: 55-10=45, Resulting Numbers: [98, 45]
Generated Node #0,2,0: 94:[98, 45] Operation: 55-10=45
Exploring Operation: 98-55=43, Resulting Numbers: [10, 43]
Generated Node #0,2,1: 94:[10, 43] Operation: 98-55=43
Exploring Operation: 98-10=88, Resulting Numbers: [55, 88]
Generated Node #0,2,2: 94:[55, 88] Operation: 98-10=88
Exploring Operation: 55+10=65, Resulting Numbers: [98, 65]
Generated Node #0,2,3: 94:[98, 65] Operation: 55+10=65
Moving to Node #0,3
Current State: 94:[55, 83, 5], Operations: ['98-93=5']
Exploring Operation: 55-5=50, Resulting Numbers: [83, 50]
Generated Node #0,3,0: 94:[83, 50] Operation: 55-5=50
Exploring Operation: 83+5=88, Resulting Numbers: [55, 88]
Generated Node #0,3,1: 94:[55, 88] Operation: 83+5=88
Exploring Operation: 83-55=28, Resulting Numbers: [5, 28]
Generated Node #0,3,2: 94:[5, 28] Operation: 83-55=28
Exploring Operation: 55/5=11, Resulting Numbers: [83, 11]
Generated Node #0,3,3: 94:[83, 11] Operation: 55/5=11
Moving to Node #0,1
Current State: 94:[55, 93, 15], Operations: ['98-83=15']
Exploring Operation: 93-55=38, Resulting Numbers: [15, 38]
Generated Node #0,1,0: 94:[15, 38] Operation: 93-55=38
Exploring Operation: 55+15=70, Resulting Numbers: [93, 70]
Generated Node #0,1,1: 94:[93, 70] Operation: 55+15=70
Exploring Operation: 55-15=40, Resulting Numbers: [93, 40]
Generated Node #0,1,2: 94:[93, 40] Operation: 55-15=40
Exploring Operation: 93+15=108, Resulting Numbers: [55, 108]
Generated Node #0,1,3: 94:[55, 108] Operation: 93+15=108
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 94:[93, 40], Operations: ['98-83=15', '55-15=40']
Exploring Operation: 93+40=133, Resulting Numbers: [133]
133,94 unequal: No Solution
Exploring Operation: 93*40=3720, Resulting Numbers: [3720]
3720,94 unequal: No Solution
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[15, 38], Operations: ['98-83=15', '93-55=38']
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 15*38=570, Resulting Numbers: [570]
570,94 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 94:[55, 108], Operations: ['98-83=15', '93+15=108']
Exploring Operation: 108-55=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 55*108=5940, Resulting Numbers: [5940]
5940,94 unequal: No Solution
Exploring Operation: 55+108=163, Resulting Numbers: [163]
163,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[93, 70], Operations: ['98-83=15', '55+15=70']
Exploring Operation: 93+70=163, Resulting Numbers: [163]
163,94 unequal: No Solution
Exploring Operation: 93-70=23, Resulting Numbers: [23]
23,94 unequal: No Solution
Exploring Operation: 93*70=6510, Resulting Numbers: [6510]
6510,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 94:[98, 45], Operations: ['93-83=10', '55-10=45']
Exploring Operation: 98*45=4410, Resulting Numbers: [4410]
4410,94 unequal: No Solution
Exploring Operation: 98-45=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 98+45=143, Resulting Numbers: [143]
143,94 unequal: No Solution
Moving to Node #0,2,1
Current State: 94:[10, 43], Operations: ['93-83=10', '98-55=43']
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 10*43=430, Resulting Numbers: [430]
430,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[55, 88], Operations: ['93-83=10', '98-10=88']
Exploring Operation: 55+88=143, Resulting Numbers: [143]
143,94 unequal: No Solution
Exploring Operation: 88-55=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 55*88=4840, Resulting Numbers: [4840]
4840,94 unequal: No Solution
Moving to Node #0,3,1
Current State: 94:[55, 88], Operations: ['98-93=5', '83+5=88']
Exploring Operation: 55*88=4840, Resulting Numbers: [4840]
4840,94 unequal: No Solution
Exploring Operation: 55+88=143, Resulting Numbers: [143]
143,94 unequal: No Solution
Exploring Operation: 88-55=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Moving to Node #0,3,0
Current State: 94:[83, 50], Operations: ['98-93=5', '55-5=50']
Exploring Operation: 83*50=4150, Resulting Numbers: [4150]
4150,94 unequal: No Solution
Exploring Operation: 83+50=133, Resulting Numbers: [133]
133,94 unequal: No Solution
Exploring Operation: 83-50=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Moving to Node #0,3,3
Current State: 94:[83, 11], Operations: ['98-93=5', '55/5=11']
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[55, 98, 93, 83], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [55, 83, 5]
Generated Node #0,3: 94:[55, 83, 5] Operation: 98-93=5
Moving to Node #0,3
Current State: 94:[55, 83, 5], Operations: ['98-93=5']
Exploring Operation: 55/5=11, Resulting Numbers: [83, 11]
Generated Node #0,3,3: 94:[83, 11] Operation: 55/5=11
Moving to Node #0,3,3
Current State: 94:[83, 11], Operations: ['98-93=5', '55/5=11']
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 0.944444 | hs_4 | sum_heuristic |
[
1,
42,
34,
21
] | 30 | [
"1+42=43",
"34-21=13",
"43-13=30"
] | Current State: 30:[1, 42, 34, 21], Operations: []
Exploring Operation: 1+42=43, Resulting Numbers: [34, 21, 43]
Generated Node #2: [34, 21, 43] from Operation: 1+42=43
Current State: 30:[34, 21, 43], Operations: ['1+42=43']
Exploring Operation: 34-21=13, Resulting Numbers: [43, 13]
Generated Node #3: [43, 13] from Operation: 34-21=13
Current State: 30:[43, 13], Operations: ['1+42=43', '34-21=13']
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[1, 42, 34, 21], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [1, 34, 2]
Generated Node #0,0: 30:[1, 34, 2] Operation: 42/21=2
Exploring Operation: 42-34=8, Resulting Numbers: [1, 21, 8]
Generated Node #0,1: 30:[1, 21, 8] Operation: 42-34=8
Exploring Operation: 42-21=21, Resulting Numbers: [1, 34, 21]
Generated Node #0,2: 30:[1, 34, 21] Operation: 42-21=21
Exploring Operation: 34-21=13, Resulting Numbers: [1, 42, 13]
Generated Node #0,3: 30:[1, 42, 13] Operation: 34-21=13
Exploring Operation: 42-1=41, Resulting Numbers: [34, 21, 41]
Generated Node #0,4: 30:[34, 21, 41] Operation: 42-1=41
Moving to Node #0,0
Current State: 30:[1, 34, 2], Operations: ['42/21=2']
Exploring Operation: 1*34=34, Resulting Numbers: [2, 34]
Generated Node #0,0,0: 30:[2, 34] Operation: 1*34=34
Exploring Operation: 34-1=33, Resulting Numbers: [2, 33]
Generated Node #0,0,1: 30:[2, 33] Operation: 34-1=33
Exploring Operation: 34/1=34, Resulting Numbers: [2, 34]
Generated Node #0,0,2: 30:[2, 34] Operation: 34/1=34
Exploring Operation: 34/2=17, Resulting Numbers: [1, 17]
Generated Node #0,0,3: 30:[1, 17] Operation: 34/2=17
Exploring Operation: 34-2=32, Resulting Numbers: [1, 32]
Generated Node #0,0,4: 30:[1, 32] Operation: 34-2=32
Moving to Node #0,1
Current State: 30:[1, 21, 8], Operations: ['42-34=8']
Exploring Operation: 21-8=13, Resulting Numbers: [1, 13]
Generated Node #0,1,0: 30:[1, 13] Operation: 21-8=13
Exploring Operation: 1+8=9, Resulting Numbers: [21, 9]
Generated Node #0,1,1: 30:[21, 9] Operation: 1+8=9
Exploring Operation: 8-1=7, Resulting Numbers: [21, 7]
Generated Node #0,1,2: 30:[21, 7] Operation: 8-1=7
Exploring Operation: 21-1=20, Resulting Numbers: [8, 20]
Generated Node #0,1,3: 30:[8, 20] Operation: 21-1=20
Exploring Operation: 21+8=29, Resulting Numbers: [1, 29]
Generated Node #0,1,4: 30:[1, 29] Operation: 21+8=29
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 30:[1, 29], Operations: ['42-34=8', '21+8=29']
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,30 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,30 unequal: No Solution
Exploring Operation: 1+29=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[1, 42, 34, 21], Operations: []
Exploring Operation: 42-34=8, Resulting Numbers: [1, 21, 8]
Generated Node #0,1: 30:[1, 21, 8] Operation: 42-34=8
Moving to Node #0,1
Current State: 30:[1, 21, 8], Operations: ['42-34=8']
Exploring Operation: 21+8=29, Resulting Numbers: [1, 29]
Generated Node #0,1,4: 30:[1, 29] Operation: 21+8=29
Moving to Node #0,1,4
Current State: 30:[1, 29], Operations: ['42-34=8', '21+8=29']
Exploring Operation: 1+29=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
5,
43,
13,
39
] | 47 | [
"43-39=4",
"13*4=52",
"52-5=47"
] | Current State: 47:[5, 43, 13, 39], Operations: []
Exploring Operation: 43-39=4, Resulting Numbers: [5, 13, 4]
Generated Node #2: [5, 13, 4] from Operation: 43-39=4
Current State: 47:[5, 13, 4], Operations: ['43-39=4']
Exploring Operation: 13*4=52, Resulting Numbers: [5, 52]
Generated Node #3: [5, 52] from Operation: 13*4=52
Current State: 47:[5, 52], Operations: ['43-39=4', '13*4=52']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[5, 43, 13, 39], Operations: []
Exploring Operation: 43-5=38, Resulting Numbers: [13, 39, 38]
Generated Node #0,0: 47:[13, 39, 38] Operation: 43-5=38
Exploring Operation: 5+39=44, Resulting Numbers: [43, 13, 44]
Generated Node #0,1: 47:[43, 13, 44] Operation: 5+39=44
Exploring Operation: 5+43=48, Resulting Numbers: [13, 39, 48]
Generated Node #0,2: 47:[13, 39, 48] Operation: 5+43=48
Exploring Operation: 5+13=18, Resulting Numbers: [43, 39, 18]
Generated Node #0,3: 47:[43, 39, 18] Operation: 5+13=18
Exploring Operation: 5*13=65, Resulting Numbers: [43, 39, 65]
Generated Node #0,4: 47:[43, 39, 65] Operation: 5*13=65
Moving to Node #0,4
Current State: 47:[43, 39, 65], Operations: ['5*13=65']
Exploring Operation: 65-39=26, Resulting Numbers: [43, 26]
Generated Node #0,4,0: 47:[43, 26] Operation: 65-39=26
Exploring Operation: 43-39=4, Resulting Numbers: [65, 4]
Generated Node #0,4,1: 47:[65, 4] Operation: 43-39=4
Exploring Operation: 39+65=104, Resulting Numbers: [43, 104]
Generated Node #0,4,2: 47:[43, 104] Operation: 39+65=104
Exploring Operation: 65-43=22, Resulting Numbers: [39, 22]
Generated Node #0,4,3: 47:[39, 22] Operation: 65-43=22
Exploring Operation: 43+39=82, Resulting Numbers: [65, 82]
Generated Node #0,4,4: 47:[65, 82] Operation: 43+39=82
Moving to Node #0,3
Current State: 47:[43, 39, 18], Operations: ['5+13=18']
Exploring Operation: 43+39=82, Resulting Numbers: [18, 82]
Generated Node #0,3,0: 47:[18, 82] Operation: 43+39=82
Exploring Operation: 43-18=25, Resulting Numbers: [39, 25]
Generated Node #0,3,1: 47:[39, 25] Operation: 43-18=25
Exploring Operation: 43+18=61, Resulting Numbers: [39, 61]
Generated Node #0,3,2: 47:[39, 61] Operation: 43+18=61
Exploring Operation: 39+18=57, Resulting Numbers: [43, 57]
Generated Node #0,3,3: 47:[43, 57] Operation: 39+18=57
Exploring Operation: 39-18=21, Resulting Numbers: [43, 21]
Generated Node #0,3,4: 47:[43, 21] Operation: 39-18=21
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 47:[43, 57], Operations: ['5+13=18', '39+18=57']
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,47 unequal: No Solution
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 47:[39, 61], Operations: ['5+13=18', '43+18=61']
Exploring Operation: 39*61=2379, Resulting Numbers: [2379]
2379,47 unequal: No Solution
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 39+61=100, Resulting Numbers: [100]
100,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 47:[39, 25], Operations: ['5+13=18', '43-18=25']
Exploring Operation: 39*25=975, Resulting Numbers: [975]
975,47 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 39+25=64, Resulting Numbers: [64]
64,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 47:[43, 21], Operations: ['5+13=18', '39-18=21']
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 43*21=903, Resulting Numbers: [903]
903,47 unequal: No Solution
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 47:[18, 82], Operations: ['5+13=18', '43+39=82']
Exploring Operation: 82-18=64, Resulting Numbers: [64]
64,47 unequal: No Solution
Exploring Operation: 18*82=1476, Resulting Numbers: [1476]
1476,47 unequal: No Solution
Exploring Operation: 18+82=100, Resulting Numbers: [100]
100,47 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: 47:[43, 13, 44], Operations: ['5+39=44']
Exploring Operation: 43+44=87, Resulting Numbers: [13, 87]
Generated Node #0,1,0: 47:[13, 87] Operation: 43+44=87
Exploring Operation: 43+13=56, Resulting Numbers: [44, 56]
Generated Node #0,1,1: 47:[44, 56] Operation: 43+13=56
Exploring Operation: 44-13=31, Resulting Numbers: [43, 31]
Generated Node #0,1,2: 47:[43, 31] Operation: 44-13=31
Exploring Operation: 13+44=57, Resulting Numbers: [43, 57]
Generated Node #0,1,3: 47:[43, 57] Operation: 13+44=57
Exploring Operation: 43-13=30, Resulting Numbers: [44, 30]
Generated Node #0,1,4: 47:[44, 30] Operation: 43-13=30
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[44, 56], Operations: ['5+39=44', '43+13=56']
Exploring Operation: 44+56=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 44*56=2464, Resulting Numbers: [2464]
2464,47 unequal: No Solution
Exploring Operation: 56-44=12, Resulting Numbers: [12]
12,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 47:[43, 57], Operations: ['5+39=44', '13+44=57']
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[43, 31], Operations: ['5+39=44', '44-13=31']
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 43+31=74, Resulting Numbers: [74]
74,47 unequal: No Solution
Exploring Operation: 43*31=1333, Resulting Numbers: [1333]
1333,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 47:[44, 30], Operations: ['5+39=44', '43-13=30']
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,47 unequal: No Solution
Exploring Operation: 44*30=1320, Resulting Numbers: [1320]
1320,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[13, 87], Operations: ['5+39=44', '43+44=87']
Exploring Operation: 87-13=74, Resulting Numbers: [74]
74,47 unequal: No Solution
Exploring Operation: 13+87=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 13*87=1131, Resulting Numbers: [1131]
1131,47 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: 47:[13, 39, 48], Operations: ['5+43=48']
Exploring Operation: 13+39=52, Resulting Numbers: [48, 52]
Generated Node #0,2,0: 47:[48, 52] Operation: 13+39=52
Exploring Operation: 13+48=61, Resulting Numbers: [39, 61]
Generated Node #0,2,1: 47:[39, 61] Operation: 13+48=61
Exploring Operation: 39-13=26, Resulting Numbers: [48, 26]
Generated Node #0,2,2: 47:[48, 26] Operation: 39-13=26
Exploring Operation: 39/13=3, Resulting Numbers: [48, 3]
Generated Node #0,2,3: 47:[48, 3] Operation: 39/13=3
Exploring Operation: 48-13=35, Resulting Numbers: [39, 35]
Generated Node #0,2,4: 47:[39, 35] Operation: 48-13=35
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[48, 52], Operations: ['5+43=48', '13+39=52']
Exploring Operation: 48*52=2496, Resulting Numbers: [2496]
2496,47 unequal: No Solution
Exploring Operation: 48+52=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 52-48=4, Resulting Numbers: [4]
4,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 47:[39, 35], Operations: ['5+43=48', '48-13=35']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,47 unequal: No Solution
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,47 unequal: No Solution
Exploring Operation: 39*35=1365, Resulting Numbers: [1365]
1365,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[39, 61], Operations: ['5+43=48', '13+48=61']
Exploring Operation: 39+61=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 39*61=2379, Resulting Numbers: [2379]
2379,47 unequal: No Solution
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[48, 26], Operations: ['5+43=48', '39-13=26']
Exploring Operation: 48+26=74, Resulting Numbers: [74]
74,47 unequal: No Solution
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 48*26=1248, Resulting Numbers: [1248]
1248,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 47:[48, 3], Operations: ['5+43=48', '39/13=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,47 unequal: No Solution
Exploring Operation: 48*3=144, Resulting Numbers: [144]
144,47 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,47 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: 47:[13, 39, 38], Operations: ['43-5=38']
Exploring Operation: 39-13=26, Resulting Numbers: [38, 26]
Generated Node #0,0,0: 47:[38, 26] Operation: 39-13=26
Exploring Operation: 39/13=3, Resulting Numbers: [38, 3]
Generated Node #0,0,1: 47:[38, 3] Operation: 39/13=3
Exploring Operation: 13+38=51, Resulting Numbers: [39, 51]
Generated Node #0,0,2: 47:[39, 51] Operation: 13+38=51
Exploring Operation: 13+39=52, Resulting Numbers: [38, 52]
Generated Node #0,0,3: 47:[38, 52] Operation: 13+39=52
Exploring Operation: 38-13=25, Resulting Numbers: [39, 25]
Generated Node #0,0,4: 47:[39, 25] Operation: 38-13=25
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[39, 51], Operations: ['43-5=38', '13+38=51']
Exploring Operation: 39+51=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 39*51=1989, Resulting Numbers: [1989]
1989,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 47:[38, 52], Operations: ['43-5=38', '13+39=52']
Exploring Operation: 38+52=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 38*52=1976, Resulting Numbers: [1976]
1976,47 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[38, 26], Operations: ['43-5=38', '39-13=26']
Exploring Operation: 38*26=988, Resulting Numbers: [988]
988,47 unequal: No Solution
Exploring Operation: 38+26=64, Resulting Numbers: [64]
64,47 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 47:[39, 25], Operations: ['43-5=38', '38-13=25']
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 39+25=64, Resulting Numbers: [64]
64,47 unequal: No Solution
Exploring Operation: 39*25=975, Resulting Numbers: [975]
975,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[38, 3], Operations: ['43-5=38', '39/13=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,47 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,0
Current State: 47:[43, 26], Operations: ['5*13=65', '65-39=26']
Exploring Operation: 43*26=1118, Resulting Numbers: [1118]
1118,47 unequal: No Solution
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 43+26=69, Resulting Numbers: [69]
69,47 unequal: No Solution
Moving to Node #0,4,3
Current State: 47:[39, 22], Operations: ['5*13=65', '65-43=22']
Exploring Operation: 39*22=858, Resulting Numbers: [858]
858,47 unequal: No Solution
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 39+22=61, Resulting Numbers: [61]
61,47 unequal: No Solution
Moving to Node #0,4,4
Current State: 47:[65, 82], Operations: ['5*13=65', '43+39=82']
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 65*82=5330, Resulting Numbers: [5330]
5330,47 unequal: No Solution
Exploring Operation: 65+82=147, Resulting Numbers: [147]
147,47 unequal: No Solution
Moving to Node #0,4,1
Current State: 47:[65, 4], Operations: ['5*13=65', '43-39=4']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,47 unequal: No Solution
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,47 unequal: No Solution
Exploring Operation: 65*4=260, Resulting Numbers: [260]
260,47 unequal: No Solution
Moving to Node #0,4,2
Current State: 47:[43, 104], Operations: ['5*13=65', '39+65=104']
Exploring Operation: 43+104=147, Resulting Numbers: [147]
147,47 unequal: No Solution
Exploring Operation: 104-43=61, Resulting Numbers: [61]
61,47 unequal: No Solution
Exploring Operation: 43*104=4472, Resulting Numbers: [4472]
4472,47 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
68,
45,
25,
35
] | 53 | [
"68+45=113",
"25+35=60",
"113-60=53"
] | Current State: 53:[68, 45, 25, 35], Operations: []
Exploring Operation: 68+45=113, Resulting Numbers: [25, 35, 113]
Generated Node #2: [25, 35, 113] from Operation: 68+45=113
Current State: 53:[25, 35, 113], Operations: ['68+45=113']
Exploring Operation: 25+35=60, Resulting Numbers: [113, 60]
Generated Node #3: [113, 60] from Operation: 25+35=60
Current State: 53:[113, 60], Operations: ['68+45=113', '25+35=60']
Exploring Operation: 113-60=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[68, 45, 25, 35], Operations: []
Exploring Operation: 45+25=70, Resulting Numbers: [68, 35, 70]
Generated Node #0,0: 53:[68, 35, 70] Operation: 45+25=70
Exploring Operation: 68-25=43, Resulting Numbers: [45, 35, 43]
Generated Node #0,1: 53:[45, 35, 43] Operation: 68-25=43
Exploring Operation: 68-35=33, Resulting Numbers: [45, 25, 33]
Generated Node #0,2: 53:[45, 25, 33] Operation: 68-35=33
Exploring Operation: 25+35=60, Resulting Numbers: [68, 45, 60]
Generated Node #0,3: 53:[68, 45, 60] Operation: 25+35=60
Exploring Operation: 68+25=93, Resulting Numbers: [45, 35, 93]
Generated Node #0,4: 53:[45, 35, 93] Operation: 68+25=93
Start Sub Search at level 1: Moving to Node #0,3
Current State: 53:[68, 45, 60], Operations: ['25+35=60']
Exploring Operation: 68-45=23, Resulting Numbers: [60, 23]
Generated Node #0,3,0: 53:[60, 23] Operation: 68-45=23
Exploring Operation: 60-45=15, Resulting Numbers: [68, 15]
Generated Node #0,3,1: 53:[68, 15] Operation: 60-45=15
Exploring Operation: 68+45=113, Resulting Numbers: [60, 113]
Generated Node #0,3,2: 53:[60, 113] Operation: 68+45=113
Exploring Operation: 68-60=8, Resulting Numbers: [45, 8]
Generated Node #0,3,3: 53:[45, 8] Operation: 68-60=8
Exploring Operation: 45+60=105, Resulting Numbers: [68, 105]
Generated Node #0,3,4: 53:[68, 105] Operation: 45+60=105
Moving to Node #0,3,0
Current State: 53:[60, 23], Operations: ['25+35=60', '68-45=23']
Exploring Operation: 60+23=83, Resulting Numbers: [83]
83,53 unequal: No Solution
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,53 unequal: No Solution
Exploring Operation: 60*23=1380, Resulting Numbers: [1380]
1380,53 unequal: No Solution
Moving to Node #0,3,3
Current State: 53:[45, 8], Operations: ['25+35=60', '68-60=8']
Exploring Operation: 45*8=360, Resulting Numbers: [360]
360,53 unequal: No Solution
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,53 unequal: No Solution
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[68, 45, 25, 35], Operations: []
Exploring Operation: 25+35=60, Resulting Numbers: [68, 45, 60]
Generated Node #0,3: 53:[68, 45, 60] Operation: 25+35=60
Moving to Node #0,3
Current State: 53:[68, 45, 60], Operations: ['25+35=60']
Exploring Operation: 68-60=8, Resulting Numbers: [45, 8]
Generated Node #0,3,3: 53:[45, 8] Operation: 68-60=8
Moving to Node #0,3,3
Current State: 53:[45, 8], Operations: ['25+35=60', '68-60=8']
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
45,
75,
51,
16
] | 69 | [
"45+51=96",
"96/16=6",
"75-6=69"
] | Current State: 69:[45, 75, 51, 16], Operations: []
Exploring Operation: 45+51=96, Resulting Numbers: [75, 16, 96]
Generated Node #2: [75, 16, 96] from Operation: 45+51=96
Current State: 69:[75, 16, 96], Operations: ['45+51=96']
Exploring Operation: 96/16=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 96/16=6
Current State: 69:[75, 6], Operations: ['45+51=96', '96/16=6']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[45, 75, 51, 16], Operations: []
Exploring Operation: 45-16=29, Resulting Numbers: [75, 51, 29]
Generated Node #0,0: 69:[75, 51, 29] Operation: 45-16=29
Exploring Operation: 51-45=6, Resulting Numbers: [75, 16, 6]
Generated Node #0,1: 69:[75, 16, 6] Operation: 51-45=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[75, 16, 6], Operations: ['51-45=6']
Exploring Operation: 16+6=22, Resulting Numbers: [75, 22]
Generated Node #0,1,0: 69:[75, 22] Operation: 16+6=22
Exploring Operation: 75-6=69, Resulting Numbers: [16, 69]
Generated Node #0,1,1: 69:[16, 69] Operation: 75-6=69
Moving to Node #0,1,0
Current State: 69:[75, 22], Operations: ['51-45=6', '16+6=22']
Exploring Operation: 75+22=97, Resulting Numbers: [97]
97,69 unequal: No Solution
Exploring Operation: 75-22=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[16, 69], Operations: ['51-45=6', '75-6=69']
Exploring Operation: 16+69=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,69 unequal: No Solution
No 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: 69:[75, 51, 29], Operations: ['45-16=29']
Exploring Operation: 51-29=22, Resulting Numbers: [75, 22]
Generated Node #0,0,0: 69:[75, 22] Operation: 51-29=22
Exploring Operation: 75-51=24, Resulting Numbers: [29, 24]
Generated Node #0,0,1: 69:[29, 24] Operation: 75-51=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 69:[75, 22], Operations: ['45-16=29', '51-29=22']
Exploring Operation: 75-22=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 75+22=97, Resulting Numbers: [97]
97,69 unequal: No Solution
No 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: 69:[29, 24], Operations: ['45-16=29', '75-51=24']
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,69 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 |
[
40,
4,
3,
55
] | 35 | [
"40*4=160",
"160-55=105",
"105/3=35"
] | Current State: 35:[40, 4, 3, 55], Operations: []
Exploring Operation: 40*4=160, Resulting Numbers: [3, 55, 160]
Generated Node #2: [3, 55, 160] from Operation: 40*4=160
Current State: 35:[3, 55, 160], Operations: ['40*4=160']
Exploring Operation: 160-55=105, Resulting Numbers: [3, 105]
Generated Node #3: [3, 105] from Operation: 160-55=105
Current State: 35:[3, 105], Operations: ['40*4=160', '160-55=105']
Exploring Operation: 105/3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[40, 4, 3, 55], Operations: []
Exploring Operation: 55-40=15, Resulting Numbers: [4, 3, 15]
Generated Node #0,0: 35:[4, 3, 15] Operation: 55-40=15
Exploring Operation: 40-3=37, Resulting Numbers: [4, 55, 37]
Generated Node #0,1: 35:[4, 55, 37] Operation: 40-3=37
Exploring Operation: 40-4=36, Resulting Numbers: [3, 55, 36]
Generated Node #0,2: 35:[3, 55, 36] Operation: 40-4=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[4, 3, 15], Operations: ['55-40=15']
Exploring Operation: 15-4=11, Resulting Numbers: [3, 11]
Generated Node #0,0,0: 35:[3, 11] Operation: 15-4=11
Exploring Operation: 15/3=5, Resulting Numbers: [4, 5]
Generated Node #0,0,1: 35:[4, 5] Operation: 15/3=5
Exploring Operation: 15-3=12, Resulting Numbers: [4, 12]
Generated Node #0,0,2: 35:[4, 12] Operation: 15-3=12
Moving to Node #0,0,1
Current State: 35:[4, 5], Operations: ['55-40=15', '15/3=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,35 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[3, 11], Operations: ['55-40=15', '15-4=11']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,35 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[4, 12], Operations: ['55-40=15', '15-3=12']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[4, 55, 37], Operations: ['40-3=37']
Exploring Operation: 37-4=33, Resulting Numbers: [55, 33]
Generated Node #0,1,0: 35:[55, 33] Operation: 37-4=33
Exploring Operation: 55-4=51, Resulting Numbers: [37, 51]
Generated Node #0,1,1: 35:[37, 51] Operation: 55-4=51
Exploring Operation: 55-37=18, Resulting Numbers: [4, 18]
Generated Node #0,1,2: 35:[4, 18] Operation: 55-37=18
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 35:[4, 18], Operations: ['40-3=37', '55-37=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,35 unequal: No Solution
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,35 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 35:[37, 51], Operations: ['40-3=37', '55-4=51']
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,35 unequal: No Solution
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 37*51=1887, Resulting Numbers: [1887]
1887,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 35:[55, 33], Operations: ['40-3=37', '37-4=33']
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,35 unequal: No Solution
Exploring Operation: 55+33=88, Resulting Numbers: [88]
88,35 unequal: No Solution
Exploring Operation: 55*33=1815, Resulting Numbers: [1815]
1815,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[3, 55, 36], Operations: ['40-4=36']
Exploring Operation: 55-3=52, Resulting Numbers: [36, 52]
Generated Node #0,2,0: 35:[36, 52] Operation: 55-3=52
Exploring Operation: 55-36=19, Resulting Numbers: [3, 19]
Generated Node #0,2,1: 35:[3, 19] Operation: 55-36=19
Exploring Operation: 36-3=33, Resulting Numbers: [55, 33]
Generated Node #0,2,2: 35:[55, 33] Operation: 36-3=33
Moving to Node #0,2,1
Current State: 35:[3, 19], Operations: ['40-4=36', '55-36=19']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,35 unequal: No Solution
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[36, 52], Operations: ['40-4=36', '55-3=52']
Exploring Operation: 36*52=1872, Resulting Numbers: [1872]
1872,35 unequal: No Solution
Exploring Operation: 36+52=88, Resulting Numbers: [88]
88,35 unequal: No Solution
Exploring Operation: 52-36=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Moving to Node #0,2,2
Current State: 35:[55, 33], Operations: ['40-4=36', '36-3=33']
Exploring Operation: 55+33=88, Resulting Numbers: [88]
88,35 unequal: No Solution
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,35 unequal: No Solution
Exploring Operation: 55*33=1815, Resulting Numbers: [1815]
1815,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
4,
9,
32,
77
] | 50 | [
"9-4=5",
"77-32=45",
"5+45=50"
] | Current State: 50:[4, 9, 32, 77], Operations: []
Exploring Operation: 9-4=5, Resulting Numbers: [32, 77, 5]
Generated Node #2: [32, 77, 5] from Operation: 9-4=5
Current State: 50:[32, 77, 5], Operations: ['9-4=5']
Exploring Operation: 77-32=45, Resulting Numbers: [5, 45]
Generated Node #3: [5, 45] from Operation: 77-32=45
Current State: 50:[5, 45], Operations: ['9-4=5', '77-32=45']
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[4, 9, 32, 77], Operations: []
Exploring Operation: 32/4=8, Resulting Numbers: [9, 77, 8]
Generated Node #0,0: 50:[9, 77, 8] Operation: 32/4=8
Exploring Operation: 32-9=23, Resulting Numbers: [4, 77, 23]
Generated Node #0,1: 50:[4, 77, 23] Operation: 32-9=23
Exploring Operation: 32-4=28, Resulting Numbers: [9, 77, 28]
Generated Node #0,2: 50:[9, 77, 28] Operation: 32-4=28
Exploring Operation: 77-32=45, Resulting Numbers: [4, 9, 45]
Generated Node #0,3: 50:[4, 9, 45] Operation: 77-32=45
Exploring Operation: 77-9=68, Resulting Numbers: [4, 32, 68]
Generated Node #0,4: 50:[4, 32, 68] Operation: 77-9=68
Start Sub Search at level 1: Moving to Node #0,3
Current State: 50:[4, 9, 45], Operations: ['77-32=45']
Exploring Operation: 9+45=54, Resulting Numbers: [4, 54]
Generated Node #0,3,0: 50:[4, 54] Operation: 9+45=54
Exploring Operation: 4+9=13, Resulting Numbers: [45, 13]
Generated Node #0,3,1: 50:[45, 13] Operation: 4+9=13
Exploring Operation: 45/9=5, Resulting Numbers: [4, 5]
Generated Node #0,3,2: 50:[4, 5] Operation: 45/9=5
Exploring Operation: 9-4=5, Resulting Numbers: [45, 5]
Generated Node #0,3,3: 50:[45, 5] Operation: 9-4=5
Exploring Operation: 4+45=49, Resulting Numbers: [9, 49]
Generated Node #0,3,4: 50:[9, 49] Operation: 4+45=49
Moving to Node #0,3,2
Current State: 50:[4, 5], Operations: ['77-32=45', '45/9=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,50 unequal: No Solution
Moving to Node #0,3,4
Current State: 50:[9, 49], Operations: ['77-32=45', '4+45=49']
Exploring Operation: 9*49=441, Resulting Numbers: [441]
441,50 unequal: No Solution
Exploring Operation: 9+49=58, Resulting Numbers: [58]
58,50 unequal: No Solution
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Moving to Node #0,3,0
Current State: 50:[4, 54], Operations: ['77-32=45', '9+45=54']
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,50 unequal: No Solution
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,50 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[4, 9, 32, 77], Operations: []
Exploring Operation: 77-32=45, Resulting Numbers: [4, 9, 45]
Generated Node #0,3: 50:[4, 9, 45] Operation: 77-32=45
Moving to Node #0,3
Current State: 50:[4, 9, 45], Operations: ['77-32=45']
Exploring Operation: 9+45=54, Resulting Numbers: [4, 54]
Generated Node #0,3,0: 50:[4, 54] Operation: 9+45=54
Moving to Node #0,3,0
Current State: 50:[4, 54], Operations: ['77-32=45', '9+45=54']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | sum_heuristic |
[
3,
73,
5,
33
] | 95 | [
"73-3=70",
"5*33=165",
"165-70=95"
] | Current State: 95:[3, 73, 5, 33], Operations: []
Exploring Operation: 73-3=70, Resulting Numbers: [5, 33, 70]
Generated Node #2: [5, 33, 70] from Operation: 73-3=70
Current State: 95:[5, 33, 70], Operations: ['73-3=70']
Exploring Operation: 5*33=165, Resulting Numbers: [70, 165]
Generated Node #3: [70, 165] from Operation: 5*33=165
Current State: 95:[70, 165], Operations: ['73-3=70', '5*33=165']
Exploring Operation: 165-70=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[3, 73, 5, 33], Operations: []
Exploring Operation: 73-33=40, Resulting Numbers: [3, 5, 40]
Generated Node #0,0: 95:[3, 5, 40] Operation: 73-33=40
Exploring Operation: 3*33=99, Resulting Numbers: [73, 5, 99]
Generated Node #0,1: 95:[73, 5, 99] Operation: 3*33=99
Exploring Operation: 73+33=106, Resulting Numbers: [3, 5, 106]
Generated Node #0,2: 95:[3, 5, 106] Operation: 73+33=106
Moving to Node #0,2
Current State: 95:[3, 5, 106], Operations: ['73+33=106']
Exploring Operation: 106-3=103, Resulting Numbers: [5, 103]
Generated Node #0,2,0: 95:[5, 103] Operation: 106-3=103
Exploring Operation: 106-5=101, Resulting Numbers: [3, 101]
Generated Node #0,2,1: 95:[3, 101] Operation: 106-5=101
Exploring Operation: 3+5=8, Resulting Numbers: [106, 8]
Generated Node #0,2,2: 95:[106, 8] Operation: 3+5=8
Moving to Node #0,0
Current State: 95:[3, 5, 40], Operations: ['73-33=40']
Exploring Operation: 40-3=37, Resulting Numbers: [5, 37]
Generated Node #0,0,0: 95:[5, 37] Operation: 40-3=37
Exploring Operation: 40/5=8, Resulting Numbers: [3, 8]
Generated Node #0,0,1: 95:[3, 8] Operation: 40/5=8
Exploring Operation: 40-5=35, Resulting Numbers: [3, 35]
Generated Node #0,0,2: 95:[3, 35] Operation: 40-5=35
Moving to Node #0,1
Current State: 95:[73, 5, 99], Operations: ['3*33=99']
Exploring Operation: 99-73=26, Resulting Numbers: [5, 26]
Generated Node #0,1,0: 95:[5, 26] Operation: 99-73=26
Exploring Operation: 73+5=78, Resulting Numbers: [99, 78]
Generated Node #0,1,1: 95:[99, 78] Operation: 73+5=78
Exploring Operation: 99-5=94, Resulting Numbers: [73, 94]
Generated Node #0,1,2: 95:[73, 94] Operation: 99-5=94
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[5, 26], Operations: ['3*33=99', '99-73=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,95 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[99, 78], Operations: ['3*33=99', '73+5=78']
Exploring Operation: 99-78=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 99*78=7722, Resulting Numbers: [7722]
7722,95 unequal: No Solution
Exploring Operation: 99+78=177, Resulting Numbers: [177]
177,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 95:[73, 94], Operations: ['3*33=99', '99-5=94']
Exploring Operation: 94-73=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 73+94=167, Resulting Numbers: [167]
167,95 unequal: No Solution
Exploring Operation: 73*94=6862, Resulting Numbers: [6862]
6862,95 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: 95:[3, 8], Operations: ['73-33=40', '40/5=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[5, 103], Operations: ['73+33=106', '106-3=103']
Exploring Operation: 103-5=98, Resulting Numbers: [98]
98,95 unequal: No Solution
Exploring Operation: 5+103=108, Resulting Numbers: [108]
108,95 unequal: No Solution
Exploring Operation: 5*103=515, Resulting Numbers: [515]
515,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[3, 101], Operations: ['73+33=106', '106-5=101']
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,95 unequal: No Solution
Exploring Operation: 3*101=303, Resulting Numbers: [303]
303,95 unequal: No Solution
Exploring Operation: 3+101=104, Resulting Numbers: [104]
104,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[106, 8], Operations: ['73+33=106', '3+5=8']
Exploring Operation: 106*8=848, Resulting Numbers: [848]
848,95 unequal: No Solution
Exploring Operation: 106-8=98, Resulting Numbers: [98]
98,95 unequal: No Solution
Exploring Operation: 106+8=114, Resulting Numbers: [114]
114,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[3, 35], Operations: ['73-33=40', '40-5=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,95 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,95 unequal: No Solution
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[5, 37], Operations: ['73-33=40', '40-3=37']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,95 unequal: No Solution
Exploring Operation: 5*37=185, Resulting Numbers: [185]
185,95 unequal: No Solution
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,95 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
24,
8,
35,
85
] | 20 | [
"24/8=3",
"35*3=105",
"105-85=20"
] | Current State: 20:[24, 8, 35, 85], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [35, 85, 3]
Generated Node #2: [35, 85, 3] from Operation: 24/8=3
Current State: 20:[35, 85, 3], Operations: ['24/8=3']
Exploring Operation: 35*3=105, Resulting Numbers: [85, 105]
Generated Node #3: [85, 105] from Operation: 35*3=105
Current State: 20:[85, 105], Operations: ['24/8=3', '35*3=105']
Exploring Operation: 105-85=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[24, 8, 35, 85], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [24, 35, 77]
Generated Node #0,0: 20:[24, 35, 77] Operation: 85-8=77
Exploring Operation: 85-24=61, Resulting Numbers: [8, 35, 61]
Generated Node #0,1: 20:[8, 35, 61] Operation: 85-24=61
Exploring Operation: 35-24=11, Resulting Numbers: [8, 85, 11]
Generated Node #0,2: 20:[8, 85, 11] Operation: 35-24=11
Exploring Operation: 85-35=50, Resulting Numbers: [24, 8, 50]
Generated Node #0,3: 20:[24, 8, 50] Operation: 85-35=50
Exploring Operation: 35-8=27, Resulting Numbers: [24, 85, 27]
Generated Node #0,4: 20:[24, 85, 27] Operation: 35-8=27
Start Sub Search at level 1: Moving to Node #0,3
Current State: 20:[24, 8, 50], Operations: ['85-35=50']
Exploring Operation: 24+8=32, Resulting Numbers: [50, 32]
Generated Node #0,3,0: 20:[50, 32] Operation: 24+8=32
Exploring Operation: 24-8=16, Resulting Numbers: [50, 16]
Generated Node #0,3,1: 20:[50, 16] Operation: 24-8=16
Exploring Operation: 50-24=26, Resulting Numbers: [8, 26]
Generated Node #0,3,2: 20:[8, 26] Operation: 50-24=26
Exploring Operation: 50-8=42, Resulting Numbers: [24, 42]
Generated Node #0,3,3: 20:[24, 42] Operation: 50-8=42
Exploring Operation: 24/8=3, Resulting Numbers: [50, 3]
Generated Node #0,3,4: 20:[50, 3] Operation: 24/8=3
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 20:[8, 26], Operations: ['85-35=50', '50-24=26']
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,20 unequal: No Solution
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,20 unequal: No Solution
No 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: 20:[24, 42], Operations: ['85-35=50', '50-8=42']
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 24*42=1008, Resulting Numbers: [1008]
1008,20 unequal: No Solution
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,20 unequal: No Solution
No 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: 20:[50, 3], Operations: ['85-35=50', '24/8=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,20 unequal: No Solution
Exploring Operation: 50*3=150, Resulting Numbers: [150]
150,20 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,20 unequal: No Solution
No 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: 20:[50, 16], Operations: ['85-35=50', '24-8=16']
Exploring Operation: 50+16=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 50*16=800, Resulting Numbers: [800]
800,20 unequal: No Solution
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,20 unequal: No Solution
No 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: 20:[50, 32], Operations: ['85-35=50', '24+8=32']
Exploring Operation: 50+32=82, Resulting Numbers: [82]
82,20 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 50*32=1600, Resulting Numbers: [1600]
1600,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[8, 35, 61], Operations: ['85-24=61']
Exploring Operation: 8+35=43, Resulting Numbers: [61, 43]
Generated Node #0,1,0: 20:[61, 43] Operation: 8+35=43
Exploring Operation: 61-35=26, Resulting Numbers: [8, 26]
Generated Node #0,1,1: 20:[8, 26] Operation: 61-35=26
Exploring Operation: 8+61=69, Resulting Numbers: [35, 69]
Generated Node #0,1,2: 20:[35, 69] Operation: 8+61=69
Exploring Operation: 61-8=53, Resulting Numbers: [35, 53]
Generated Node #0,1,3: 20:[35, 53] Operation: 61-8=53
Exploring Operation: 35-8=27, Resulting Numbers: [61, 27]
Generated Node #0,1,4: 20:[61, 27] Operation: 35-8=27
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 20:[8, 26], Operations: ['85-24=61', '61-35=26']
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,20 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,20 unequal: No Solution
No 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: 20:[35, 53], Operations: ['85-24=61', '61-8=53']
Exploring Operation: 35*53=1855, Resulting Numbers: [1855]
1855,20 unequal: No Solution
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 35+53=88, Resulting Numbers: [88]
88,20 unequal: No Solution
No 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: 20:[61, 27], Operations: ['85-24=61', '35-8=27']
Exploring Operation: 61+27=88, Resulting Numbers: [88]
88,20 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,20 unequal: No Solution
Exploring Operation: 61*27=1647, Resulting Numbers: [1647]
1647,20 unequal: No Solution
No 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: 20:[61, 43], Operations: ['85-24=61', '8+35=43']
Exploring Operation: 61*43=2623, Resulting Numbers: [2623]
2623,20 unequal: No Solution
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 61+43=104, Resulting Numbers: [104]
104,20 unequal: No Solution
No 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: 20:[35, 69], Operations: ['85-24=61', '8+61=69']
Exploring Operation: 35+69=104, Resulting Numbers: [104]
104,20 unequal: No Solution
Exploring Operation: 35*69=2415, Resulting Numbers: [2415]
2415,20 unequal: No Solution
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[8, 85, 11], Operations: ['35-24=11']
Exploring Operation: 85-8=77, Resulting Numbers: [11, 77]
Generated Node #0,2,0: 20:[11, 77] Operation: 85-8=77
Exploring Operation: 8+85=93, Resulting Numbers: [11, 93]
Generated Node #0,2,1: 20:[11, 93] Operation: 8+85=93
Exploring Operation: 8+11=19, Resulting Numbers: [85, 19]
Generated Node #0,2,2: 20:[85, 19] Operation: 8+11=19
Exploring Operation: 85-11=74, Resulting Numbers: [8, 74]
Generated Node #0,2,3: 20:[8, 74] Operation: 85-11=74
Exploring Operation: 11-8=3, Resulting Numbers: [85, 3]
Generated Node #0,2,4: 20:[85, 3] Operation: 11-8=3
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 20:[8, 74], Operations: ['35-24=11', '85-11=74']
Exploring Operation: 8*74=592, Resulting Numbers: [592]
592,20 unequal: No Solution
Exploring Operation: 8+74=82, Resulting Numbers: [82]
82,20 unequal: No Solution
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,20 unequal: No Solution
No 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: 20:[11, 77], Operations: ['35-24=11', '85-8=77']
Exploring Operation: 11+77=88, Resulting Numbers: [88]
88,20 unequal: No Solution
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 11*77=847, Resulting Numbers: [847]
847,20 unequal: No Solution
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,20 unequal: No Solution
No 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: 20:[85, 19], Operations: ['35-24=11', '8+11=19']
Exploring Operation: 85*19=1615, Resulting Numbers: [1615]
1615,20 unequal: No Solution
Exploring Operation: 85+19=104, Resulting Numbers: [104]
104,20 unequal: No Solution
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,20 unequal: No Solution
No 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: 20:[85, 3], Operations: ['35-24=11', '11-8=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,20 unequal: No Solution
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,20 unequal: No Solution
Exploring Operation: 85*3=255, Resulting Numbers: [255]
255,20 unequal: No Solution
No 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: 20:[11, 93], Operations: ['35-24=11', '8+85=93']
Exploring Operation: 11*93=1023, Resulting Numbers: [1023]
1023,20 unequal: No Solution
Exploring Operation: 11+93=104, Resulting Numbers: [104]
104,20 unequal: No Solution
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[24, 35, 77], Operations: ['85-8=77']
Exploring Operation: 77-35=42, Resulting Numbers: [24, 42]
Generated Node #0,0,0: 20:[24, 42] Operation: 77-35=42
Exploring Operation: 24+35=59, Resulting Numbers: [77, 59]
Generated Node #0,0,1: 20:[77, 59] Operation: 24+35=59
Exploring Operation: 77-24=53, Resulting Numbers: [35, 53]
Generated Node #0,0,2: 20:[35, 53] Operation: 77-24=53
Exploring Operation: 35-24=11, Resulting Numbers: [77, 11]
Generated Node #0,0,3: 20:[77, 11] Operation: 35-24=11
Exploring Operation: 24+77=101, Resulting Numbers: [35, 101]
Generated Node #0,0,4: 20:[35, 101] Operation: 24+77=101
Moving to Node #0,0,0
Current State: 20:[24, 42], Operations: ['85-8=77', '77-35=42']
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 24*42=1008, Resulting Numbers: [1008]
1008,20 unequal: No Solution
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Moving to Node #0,0,2
Current State: 20:[35, 53], Operations: ['85-8=77', '77-24=53']
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 35+53=88, Resulting Numbers: [88]
88,20 unequal: No Solution
Exploring Operation: 35*53=1855, Resulting Numbers: [1855]
1855,20 unequal: No Solution
Moving to Node #0,0,3
Current State: 20:[77, 11], Operations: ['85-8=77', '35-24=11']
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 77*11=847, Resulting Numbers: [847]
847,20 unequal: No Solution
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 77+11=88, Resulting Numbers: [88]
88,20 unequal: No Solution
Moving to Node #0,0,1
Current State: 20:[77, 59], Operations: ['85-8=77', '24+35=59']
Exploring Operation: 77+59=136, Resulting Numbers: [136]
136,20 unequal: No Solution
Exploring Operation: 77-59=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 77*59=4543, Resulting Numbers: [4543]
4543,20 unequal: No Solution
Moving to Node #0,0,4
Current State: 20:[35, 101], Operations: ['85-8=77', '24+77=101']
Exploring Operation: 35*101=3535, Resulting Numbers: [3535]
3535,20 unequal: No Solution
Exploring Operation: 101-35=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 35+101=136, Resulting Numbers: [136]
136,20 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 #0,4
Current State: 20:[24, 85, 27], Operations: ['35-8=27']
Exploring Operation: 85-24=61, Resulting Numbers: [27, 61]
Generated Node #0,4,0: 20:[27, 61] Operation: 85-24=61
Exploring Operation: 27-24=3, Resulting Numbers: [85, 3]
Generated Node #0,4,1: 20:[85, 3] Operation: 27-24=3
Exploring Operation: 24+27=51, Resulting Numbers: [85, 51]
Generated Node #0,4,2: 20:[85, 51] Operation: 24+27=51
Exploring Operation: 24+85=109, Resulting Numbers: [27, 109]
Generated Node #0,4,3: 20:[27, 109] Operation: 24+85=109
Exploring Operation: 85-27=58, Resulting Numbers: [24, 58]
Generated Node #0,4,4: 20:[24, 58] Operation: 85-27=58
Moving to Node #0,4,4
Current State: 20:[24, 58], Operations: ['35-8=27', '85-27=58']
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,20 unequal: No Solution
Exploring Operation: 24*58=1392, Resulting Numbers: [1392]
1392,20 unequal: No Solution
Exploring Operation: 24+58=82, Resulting Numbers: [82]
82,20 unequal: No Solution
Moving to Node #0,4,0
Current State: 20:[27, 61], Operations: ['35-8=27', '85-24=61']
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,20 unequal: No Solution
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,20 unequal: No Solution
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,20 unequal: No Solution
Moving to Node #0,4,1
Current State: 20:[85, 3], Operations: ['35-8=27', '27-24=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,20 unequal: No Solution
Exploring Operation: 85*3=255, Resulting Numbers: [255]
255,20 unequal: No Solution
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,20 unequal: No Solution
Moving to Node #0,4,2
Current State: 20:[85, 51], Operations: ['35-8=27', '24+27=51']
Exploring Operation: 85-51=34, Resulting Numbers: [34]
34,20 unequal: No Solution
Exploring Operation: 85+51=136, Resulting Numbers: [136]
136,20 unequal: No Solution
Exploring Operation: 85*51=4335, Resulting Numbers: [4335]
4335,20 unequal: No Solution
Moving to Node #0,4,3
Current State: 20:[27, 109], Operations: ['35-8=27', '24+85=109']
Exploring Operation: 109-27=82, Resulting Numbers: [82]
82,20 unequal: No Solution
Exploring Operation: 27+109=136, Resulting Numbers: [136]
136,20 unequal: No Solution
Exploring Operation: 27*109=2943, Resulting Numbers: [2943]
2943,20 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 |
[
93,
17,
47,
41
] | 85 | [
"93-47=46",
"46-41=5",
"17*5=85"
] | Current State: 85:[93, 17, 47, 41], Operations: []
Exploring Operation: 93-47=46, Resulting Numbers: [17, 41, 46]
Generated Node #2: [17, 41, 46] from Operation: 93-47=46
Current State: 85:[17, 41, 46], Operations: ['93-47=46']
Exploring Operation: 46-41=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 46-41=5
Current State: 85:[17, 5], Operations: ['93-47=46', '46-41=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[93, 17, 47, 41], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [93, 17, 6]
Generated Node #0,0: 85:[93, 17, 6] Operation: 47-41=6
Moving to Node #0,0
Current State: 85:[93, 17, 6], Operations: ['47-41=6']
Exploring Operation: 93-6=87, Resulting Numbers: [17, 87]
Generated Node #0,0,0: 85:[17, 87] Operation: 93-6=87
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[17, 87], Operations: ['47-41=6', '93-6=87']
Exploring Operation: 87-17=70, Resulting Numbers: [70]
70,85 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 |
[
45,
81,
48,
64
] | 52 | [
"81-45=36",
"64-48=16",
"36+16=52"
] | Current State: 52:[45, 81, 48, 64], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [48, 64, 36]
Generated Node #2: [48, 64, 36] from Operation: 81-45=36
Current State: 52:[48, 64, 36], Operations: ['81-45=36']
Exploring Operation: 64-48=16, Resulting Numbers: [36, 16]
Generated Node #3: [36, 16] from Operation: 64-48=16
Current State: 52:[36, 16], Operations: ['81-45=36', '64-48=16']
Exploring Operation: 36+16=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[45, 81, 48, 64], Operations: []
Exploring Operation: 81-64=17, Resulting Numbers: [45, 48, 17]
Generated Node #0,0: 52:[45, 48, 17] Operation: 81-64=17
Exploring Operation: 81-45=36, Resulting Numbers: [48, 64, 36]
Generated Node #0,1: 52:[48, 64, 36] Operation: 81-45=36
Moving to Node #0,0
Current State: 52:[45, 48, 17], Operations: ['81-64=17']
Exploring Operation: 45-17=28, Resulting Numbers: [48, 28]
Generated Node #0,0,0: 52:[48, 28] Operation: 45-17=28
Exploring Operation: 48-45=3, Resulting Numbers: [17, 3]
Generated Node #0,0,1: 52:[17, 3] Operation: 48-45=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[17, 3], Operations: ['81-64=17', '48-45=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[48, 28], Operations: ['81-64=17', '45-17=28']
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Exploring Operation: 48+28=76, Resulting Numbers: [76]
76,52 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: 52:[48, 64, 36], Operations: ['81-45=36']
Exploring Operation: 64-36=28, Resulting Numbers: [48, 28]
Generated Node #0,1,0: 52:[48, 28] Operation: 64-36=28
Exploring Operation: 64-48=16, Resulting Numbers: [36, 16]
Generated Node #0,1,1: 52:[36, 16] Operation: 64-48=16
Moving to Node #0,1,0
Current State: 52:[48, 28], Operations: ['81-45=36', '64-36=28']
Exploring Operation: 48+28=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[36, 16], Operations: ['81-45=36', '64-48=16']
Exploring Operation: 36+16=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[45, 81, 48, 64], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [48, 64, 36]
Generated Node #0,1: 52:[48, 64, 36] Operation: 81-45=36
Moving to Node #0,1
Current State: 52:[48, 64, 36], Operations: ['81-45=36']
Exploring Operation: 64-48=16, Resulting Numbers: [36, 16]
Generated Node #0,1,1: 52:[36, 16] Operation: 64-48=16
Moving to Node #0,1,1
Current State: 52:[36, 16], Operations: ['81-45=36', '64-48=16']
Exploring Operation: 36+16=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.985243 | hs_2 | mult_heuristic |
[
30,
55,
13,
81
] | 28 | [
"81-55=26",
"26/13=2",
"30-2=28"
] | Current State: 28:[30, 55, 13, 81], Operations: []
Exploring Operation: 81-55=26, Resulting Numbers: [30, 13, 26]
Generated Node #2: [30, 13, 26] from Operation: 81-55=26
Current State: 28:[30, 13, 26], Operations: ['81-55=26']
Exploring Operation: 26/13=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 26/13=2
Current State: 28:[30, 2], Operations: ['81-55=26', '26/13=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[30, 55, 13, 81], Operations: []
Exploring Operation: 81-30=51, Resulting Numbers: [55, 13, 51]
Generated Node #0,0: 28:[55, 13, 51] Operation: 81-30=51
Exploring Operation: 81-55=26, Resulting Numbers: [30, 13, 26]
Generated Node #0,1: 28:[30, 13, 26] Operation: 81-55=26
Exploring Operation: 55-30=25, Resulting Numbers: [13, 81, 25]
Generated Node #0,2: 28:[13, 81, 25] Operation: 55-30=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[30, 13, 26], Operations: ['81-55=26']
Exploring Operation: 26/13=2, Resulting Numbers: [30, 2]
Generated Node #0,1,0: 28:[30, 2] Operation: 26/13=2
Exploring Operation: 26-13=13, Resulting Numbers: [30, 13]
Generated Node #0,1,1: 28:[30, 13] Operation: 26-13=13
Exploring Operation: 30-26=4, Resulting Numbers: [13, 4]
Generated Node #0,1,2: 28:[13, 4] Operation: 30-26=4
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 28:[13, 4], Operations: ['81-55=26', '30-26=4']
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,28 unequal: No Solution
No 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: 28:[30, 2], Operations: ['81-55=26', '26/13=2']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[30, 55, 13, 81], Operations: []
Exploring Operation: 81-55=26, Resulting Numbers: [30, 13, 26]
Generated Node #0,1: 28:[30, 13, 26] Operation: 81-55=26
Moving to Node #0,1
Current State: 28:[30, 13, 26], Operations: ['81-55=26']
Exploring Operation: 26/13=2, Resulting Numbers: [30, 2]
Generated Node #0,1,0: 28:[30, 2] Operation: 26/13=2
Moving to Node #0,1,0
Current State: 28:[30, 2], Operations: ['81-55=26', '26/13=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
59,
39,
71,
78
] | 10 | [
"71-59=12",
"78/39=2",
"12-2=10"
] | Current State: 10:[59, 39, 71, 78], Operations: []
Exploring Operation: 71-59=12, Resulting Numbers: [39, 78, 12]
Generated Node #2: [39, 78, 12] from Operation: 71-59=12
Current State: 10:[39, 78, 12], Operations: ['71-59=12']
Exploring Operation: 78/39=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 78/39=2
Current State: 10:[12, 2], Operations: ['71-59=12', '78/39=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[59, 39, 71, 78], Operations: []
Exploring Operation: 71-59=12, Resulting Numbers: [39, 78, 12]
Generated Node #0,0: 10:[39, 78, 12] Operation: 71-59=12
Exploring Operation: 78/39=2, Resulting Numbers: [59, 71, 2]
Generated Node #0,1: 10:[59, 71, 2] Operation: 78/39=2
Exploring Operation: 78-71=7, Resulting Numbers: [59, 39, 7]
Generated Node #0,2: 10:[59, 39, 7] Operation: 78-71=7
Exploring Operation: 78-59=19, Resulting Numbers: [39, 71, 19]
Generated Node #0,3: 10:[39, 71, 19] Operation: 78-59=19
Moving to Node #0,2
Current State: 10:[59, 39, 7], Operations: ['78-71=7']
Exploring Operation: 39-7=32, Resulting Numbers: [59, 32]
Generated Node #0,2,0: 10:[59, 32] Operation: 39-7=32
Exploring Operation: 59-39=20, Resulting Numbers: [7, 20]
Generated Node #0,2,1: 10:[7, 20] Operation: 59-39=20
Exploring Operation: 59-7=52, Resulting Numbers: [39, 52]
Generated Node #0,2,2: 10:[39, 52] Operation: 59-7=52
Exploring Operation: 59+7=66, Resulting Numbers: [39, 66]
Generated Node #0,2,3: 10:[39, 66] Operation: 59+7=66
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 10:[7, 20], Operations: ['78-71=7', '59-39=20']
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,10 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,10 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 #0,2,0
Current State: 10:[59, 32], Operations: ['78-71=7', '39-7=32']
Exploring Operation: 59*32=1888, Resulting Numbers: [1888]
1888,10 unequal: No Solution
Exploring Operation: 59+32=91, Resulting Numbers: [91]
91,10 unequal: No Solution
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,10 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 #0,2,2
Current State: 10:[39, 52], Operations: ['78-71=7', '59-7=52']
Exploring Operation: 39*52=2028, Resulting Numbers: [2028]
2028,10 unequal: No Solution
Exploring Operation: 52-39=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Exploring Operation: 39+52=91, Resulting Numbers: [91]
91,10 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 #0,2,3
Current State: 10:[39, 66], Operations: ['78-71=7', '59+7=66']
Exploring Operation: 39+66=105, Resulting Numbers: [105]
105,10 unequal: No Solution
Exploring Operation: 39*66=2574, Resulting Numbers: [2574]
2574,10 unequal: No Solution
Exploring Operation: 66-39=27, Resulting Numbers: [27]
27,10 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: 10:[39, 71, 19], Operations: ['78-59=19']
Exploring Operation: 39+71=110, Resulting Numbers: [19, 110]
Generated Node #0,3,0: 10:[19, 110] Operation: 39+71=110
Exploring Operation: 71-19=52, Resulting Numbers: [39, 52]
Generated Node #0,3,1: 10:[39, 52] Operation: 71-19=52
Exploring Operation: 71-39=32, Resulting Numbers: [19, 32]
Generated Node #0,3,2: 10:[19, 32] Operation: 71-39=32
Exploring Operation: 39-19=20, Resulting Numbers: [71, 20]
Generated Node #0,3,3: 10:[71, 20] Operation: 39-19=20
Moving to Node #0,0
Current State: 10:[39, 78, 12], Operations: ['71-59=12']
Exploring Operation: 78/39=2, Resulting Numbers: [12, 2]
Generated Node #0,0,0: 10:[12, 2] Operation: 78/39=2
Exploring Operation: 39-12=27, Resulting Numbers: [78, 27]
Generated Node #0,0,1: 10:[78, 27] Operation: 39-12=27
Exploring Operation: 78-12=66, Resulting Numbers: [39, 66]
Generated Node #0,0,2: 10:[39, 66] Operation: 78-12=66
Exploring Operation: 78-39=39, Resulting Numbers: [12, 39]
Generated Node #0,0,3: 10:[12, 39] Operation: 78-39=39
Moving to Node #0,1
Current State: 10:[59, 71, 2], Operations: ['78/39=2']
Exploring Operation: 71-2=69, Resulting Numbers: [59, 69]
Generated Node #0,1,0: 10:[59, 69] Operation: 71-2=69
Exploring Operation: 71-59=12, Resulting Numbers: [2, 12]
Generated Node #0,1,1: 10:[2, 12] Operation: 71-59=12
Exploring Operation: 59+2=61, Resulting Numbers: [71, 61]
Generated Node #0,1,2: 10:[71, 61] Operation: 59+2=61
Exploring Operation: 59-2=57, Resulting Numbers: [71, 57]
Generated Node #0,1,3: 10:[71, 57] Operation: 59-2=57
Moving to Node #0,0,0
Current State: 10:[12, 2], Operations: ['71-59=12', '78/39=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[59, 39, 71, 78], Operations: []
Exploring Operation: 71-59=12, Resulting Numbers: [39, 78, 12]
Generated Node #0,0: 10:[39, 78, 12] Operation: 71-59=12
Moving to Node #0,0
Current State: 10:[39, 78, 12], Operations: ['71-59=12']
Exploring Operation: 78/39=2, Resulting Numbers: [12, 2]
Generated Node #0,0,0: 10:[12, 2] Operation: 78/39=2
Moving to Node #0,0,0
Current State: 10:[12, 2], Operations: ['71-59=12', '78/39=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 0.967882 | hs_4 | sum_heuristic |
[
2,
94,
8,
33
] | 72 | [
"94/2=47",
"33-8=25",
"47+25=72"
] | Current State: 72:[2, 94, 8, 33], Operations: []
Exploring Operation: 94/2=47, Resulting Numbers: [8, 33, 47]
Generated Node #2: [8, 33, 47] from Operation: 94/2=47
Current State: 72:[8, 33, 47], Operations: ['94/2=47']
Exploring Operation: 33-8=25, Resulting Numbers: [47, 25]
Generated Node #3: [47, 25] from Operation: 33-8=25
Current State: 72:[47, 25], Operations: ['94/2=47', '33-8=25']
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[2, 94, 8, 33], Operations: []
Exploring Operation: 94-2=92, Resulting Numbers: [8, 33, 92]
Generated Node #0,0: 72:[8, 33, 92] Operation: 94-2=92
Exploring Operation: 94/2=47, Resulting Numbers: [8, 33, 47]
Generated Node #0,1: 72:[8, 33, 47] Operation: 94/2=47
Exploring Operation: 94-8=86, Resulting Numbers: [2, 33, 86]
Generated Node #0,2: 72:[2, 33, 86] Operation: 94-8=86
Exploring Operation: 2+33=35, Resulting Numbers: [94, 8, 35]
Generated Node #0,3: 72:[94, 8, 35] Operation: 2+33=35
Exploring Operation: 94-33=61, Resulting Numbers: [2, 8, 61]
Generated Node #0,4: 72:[2, 8, 61] Operation: 94-33=61
Start Sub Search at level 1: Moving to Node #0,4
Current State: 72:[2, 8, 61], Operations: ['94-33=61']
Exploring Operation: 8-2=6, Resulting Numbers: [61, 6]
Generated Node #0,4,0: 72:[61, 6] Operation: 8-2=6
Exploring Operation: 8+61=69, Resulting Numbers: [2, 69]
Generated Node #0,4,1: 72:[2, 69] Operation: 8+61=69
Exploring Operation: 2+8=10, Resulting Numbers: [61, 10]
Generated Node #0,4,2: 72:[61, 10] Operation: 2+8=10
Exploring Operation: 2+61=63, Resulting Numbers: [8, 63]
Generated Node #0,4,3: 72:[8, 63] Operation: 2+61=63
Exploring Operation: 8/2=4, Resulting Numbers: [61, 4]
Generated Node #0,4,4: 72:[61, 4] Operation: 8/2=4
Moving to Node #0,4,1
Current State: 72:[2, 69], Operations: ['94-33=61', '8+61=69']
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,72 unequal: No Solution
Exploring Operation: 2*69=138, Resulting Numbers: [138]
138,72 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,72 unequal: No Solution
Moving to Node #0,4,3
Current State: 72:[8, 63], Operations: ['94-33=61', '2+61=63']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,72 unequal: No Solution
Exploring Operation: 8*63=504, Resulting Numbers: [504]
504,72 unequal: No Solution
Exploring Operation: 8+63=71, Resulting Numbers: [71]
71,72 unequal: No Solution
Moving to Node #0,4,0
Current State: 72:[61, 6], Operations: ['94-33=61', '8-2=6']
Exploring Operation: 61*6=366, Resulting Numbers: [366]
366,72 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,72 unequal: No Solution
Exploring Operation: 61+6=67, Resulting Numbers: [67]
67,72 unequal: No Solution
Moving to Node #0,4,4
Current State: 72:[61, 4], Operations: ['94-33=61', '8/2=4']
Exploring Operation: 61*4=244, Resulting Numbers: [244]
244,72 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,72 unequal: No Solution
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,72 unequal: No Solution
Moving to Node #0,4,2
Current State: 72:[61, 10], Operations: ['94-33=61', '2+8=10']
Exploring Operation: 61*10=610, Resulting Numbers: [610]
610,72 unequal: No Solution
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,72 unequal: No Solution
Exploring Operation: 61+10=71, Resulting Numbers: [71]
71,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[8, 33, 47], Operations: ['94/2=47']
Exploring Operation: 33-8=25, Resulting Numbers: [47, 25]
Generated Node #0,1,0: 72:[47, 25] Operation: 33-8=25
Exploring Operation: 47-33=14, Resulting Numbers: [8, 14]
Generated Node #0,1,1: 72:[8, 14] Operation: 47-33=14
Exploring Operation: 8+33=41, Resulting Numbers: [47, 41]
Generated Node #0,1,2: 72:[47, 41] Operation: 8+33=41
Exploring Operation: 47-8=39, Resulting Numbers: [33, 39]
Generated Node #0,1,3: 72:[33, 39] Operation: 47-8=39
Exploring Operation: 33+47=80, Resulting Numbers: [8, 80]
Generated Node #0,1,4: 72:[8, 80] Operation: 33+47=80
Moving to Node #0,1,1
Current State: 72:[8, 14], Operations: ['94/2=47', '47-33=14']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[33, 39], Operations: ['94/2=47', '47-8=39']
Exploring Operation: 33*39=1287, Resulting Numbers: [1287]
1287,72 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[2, 94, 8, 33], Operations: []
Exploring Operation: 94/2=47, Resulting Numbers: [8, 33, 47]
Generated Node #0,1: 72:[8, 33, 47] Operation: 94/2=47
Moving to Node #0,1
Current State: 72:[8, 33, 47], Operations: ['94/2=47']
Exploring Operation: 47-8=39, Resulting Numbers: [33, 39]
Generated Node #0,1,3: 72:[33, 39] Operation: 47-8=39
Moving to Node #0,1,3
Current State: 72:[33, 39], Operations: ['94/2=47', '47-8=39']
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_5 | sum_heuristic |
[
57,
8,
50,
4
] | 28 | [
"57-50=7",
"8-4=4",
"7*4=28"
] | Current State: 28:[57, 8, 50, 4], Operations: []
Exploring Operation: 57-50=7, Resulting Numbers: [8, 4, 7]
Generated Node #2: [8, 4, 7] from Operation: 57-50=7
Current State: 28:[8, 4, 7], Operations: ['57-50=7']
Exploring Operation: 8-4=4, Resulting Numbers: [7, 4]
Generated Node #3: [7, 4] from Operation: 8-4=4
Current State: 28:[7, 4], Operations: ['57-50=7', '8-4=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[57, 8, 50, 4], Operations: []
Exploring Operation: 57-50=7, Resulting Numbers: [8, 4, 7]
Generated Node #0,0: 28:[8, 4, 7] Operation: 57-50=7
Moving to Node #0,0
Current State: 28:[8, 4, 7], Operations: ['57-50=7']
Exploring Operation: 8-4=4, Resulting Numbers: [7, 4]
Generated Node #0,0,0: 28:[7, 4] Operation: 8-4=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[7, 4], Operations: ['57-50=7', '8-4=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[57, 8, 50, 4], Operations: []
Exploring Operation: 57-50=7, Resulting Numbers: [8, 4, 7]
Generated Node #0,0: 28:[8, 4, 7] Operation: 57-50=7
Moving to Node #0,0
Current State: 28:[8, 4, 7], Operations: ['57-50=7']
Exploring Operation: 8-4=4, Resulting Numbers: [7, 4]
Generated Node #0,0,0: 28:[7, 4] Operation: 8-4=4
Moving to Node #0,0,0
Current State: 28:[7, 4], Operations: ['57-50=7', '8-4=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
66,
57,
89,
2
] | 71 | [
"66-57=9",
"2*9=18",
"89-18=71"
] | Current State: 71:[66, 57, 89, 2], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [89, 2, 9]
Generated Node #2: [89, 2, 9] from Operation: 66-57=9
Current State: 71:[89, 2, 9], Operations: ['66-57=9']
Exploring Operation: 2*9=18, Resulting Numbers: [89, 18]
Generated Node #3: [89, 18] from Operation: 2*9=18
Current State: 71:[89, 18], Operations: ['66-57=9', '2*9=18']
Exploring Operation: 89-18=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[66, 57, 89, 2], Operations: []
Exploring Operation: 66+2=68, Resulting Numbers: [57, 89, 68]
Generated Node #0,0: 71:[57, 89, 68] Operation: 66+2=68
Exploring Operation: 89-2=87, Resulting Numbers: [66, 57, 87]
Generated Node #0,1: 71:[66, 57, 87] Operation: 89-2=87
Exploring Operation: 57+2=59, Resulting Numbers: [66, 89, 59]
Generated Node #0,2: 71:[66, 89, 59] Operation: 57+2=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[57, 89, 68], Operations: ['66+2=68']
Exploring Operation: 89-68=21, Resulting Numbers: [57, 21]
Generated Node #0,0,0: 71:[57, 21] Operation: 89-68=21
Exploring Operation: 89-57=32, Resulting Numbers: [68, 32]
Generated Node #0,0,1: 71:[68, 32] Operation: 89-57=32
Exploring Operation: 57+68=125, Resulting Numbers: [89, 125]
Generated Node #0,0,2: 71:[89, 125] Operation: 57+68=125
Moving to Node #0,0,1
Current State: 71:[68, 32], Operations: ['66+2=68', '89-57=32']
Exploring Operation: 68+32=100, Resulting Numbers: [100]
100,71 unequal: No Solution
Exploring Operation: 68-32=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Exploring Operation: 68*32=2176, Resulting Numbers: [2176]
2176,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[57, 21], Operations: ['66+2=68', '89-68=21']
Exploring Operation: 57*21=1197, Resulting Numbers: [1197]
1197,71 unequal: No Solution
Exploring Operation: 57+21=78, Resulting Numbers: [78]
78,71 unequal: No Solution
Exploring Operation: 57-21=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[89, 125], Operations: ['66+2=68', '57+68=125']
Exploring Operation: 89+125=214, Resulting Numbers: [214]
214,71 unequal: No Solution
Exploring Operation: 125-89=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Exploring Operation: 89*125=11125, Resulting Numbers: [11125]
11125,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[66, 57, 87], Operations: ['89-2=87']
Exploring Operation: 66+57=123, Resulting Numbers: [87, 123]
Generated Node #0,1,0: 71:[87, 123] Operation: 66+57=123
Exploring Operation: 87-57=30, Resulting Numbers: [66, 30]
Generated Node #0,1,1: 71:[66, 30] Operation: 87-57=30
Exploring Operation: 87-66=21, Resulting Numbers: [57, 21]
Generated Node #0,1,2: 71:[57, 21] Operation: 87-66=21
Moving to Node #0,1,1
Current State: 71:[66, 30], Operations: ['89-2=87', '87-57=30']
Exploring Operation: 66*30=1980, Resulting Numbers: [1980]
1980,71 unequal: No Solution
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[57, 21], Operations: ['89-2=87', '87-66=21']
Exploring Operation: 57*21=1197, Resulting Numbers: [1197]
1197,71 unequal: No Solution
Exploring Operation: 57-21=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Exploring Operation: 57+21=78, Resulting Numbers: [78]
78,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[87, 123], Operations: ['89-2=87', '66+57=123']
Exploring Operation: 87+123=210, Resulting Numbers: [210]
210,71 unequal: No Solution
Exploring Operation: 123-87=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Exploring Operation: 87*123=10701, Resulting Numbers: [10701]
10701,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[66, 89, 59], Operations: ['57+2=59']
Exploring Operation: 89-59=30, Resulting Numbers: [66, 30]
Generated Node #0,2,0: 71:[66, 30] Operation: 89-59=30
Exploring Operation: 89-66=23, Resulting Numbers: [59, 23]
Generated Node #0,2,1: 71:[59, 23] Operation: 89-66=23
Exploring Operation: 66+59=125, Resulting Numbers: [89, 125]
Generated Node #0,2,2: 71:[89, 125] Operation: 66+59=125
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 71:[66, 30], Operations: ['57+2=59', '89-59=30']
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,71 unequal: No Solution
Exploring Operation: 66*30=1980, Resulting Numbers: [1980]
1980,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 71:[59, 23], Operations: ['57+2=59', '89-66=23']
Exploring Operation: 59-23=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Exploring Operation: 59+23=82, Resulting Numbers: [82]
82,71 unequal: No Solution
Exploring Operation: 59*23=1357, Resulting Numbers: [1357]
1357,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 71:[89, 125], Operations: ['57+2=59', '66+59=125']
Exploring Operation: 89*125=11125, Resulting Numbers: [11125]
11125,71 unequal: No Solution
Exploring Operation: 125-89=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Exploring Operation: 89+125=214, Resulting Numbers: [214]
214,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
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