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 |
|---|---|---|---|---|---|---|---|---|
[
49,
99,
2,
95
] | 76 | [
"95-49=46",
"46/2=23",
"99-23=76"
] | Current State: 76:[49, 99, 2, 95], Operations: []
Exploring Operation: 95-49=46, Resulting Numbers: [99, 2, 46]
Generated Node #2: [99, 2, 46] from Operation: 95-49=46
Current State: 76:[99, 2, 46], Operations: ['95-49=46']
Exploring Operation: 46/2=23, Resulting Numbers: [99, 23]
Generated Node #3: [99, 23] from Operation: 46/2=23
Current State: 76:[99, 23], Operations: ['95-49=46', '46/2=23']
Exploring Operation: 99-23=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[49, 99, 2, 95], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [49, 2, 4]
Generated Node #0,0: 76:[49, 2, 4] Operation: 99-95=4
Exploring Operation: 95-49=46, Resulting Numbers: [99, 2, 46]
Generated Node #0,1: 76:[99, 2, 46] Operation: 95-49=46
Exploring Operation: 99-49=50, Resulting Numbers: [2, 95, 50]
Generated Node #0,2: 76:[2, 95, 50] Operation: 99-49=50
Exploring Operation: 49-2=47, Resulting Numbers: [99, 95, 47]
Generated Node #0,3: 76:[99, 95, 47] Operation: 49-2=47
Moving to Node #0,0
Current State: 76:[49, 2, 4], Operations: ['99-95=4']
Exploring Operation: 49-4=45, Resulting Numbers: [2, 45]
Generated Node #0,0,0: 76:[2, 45] Operation: 49-4=45
Exploring Operation: 4/2=2, Resulting Numbers: [49, 2]
Generated Node #0,0,1: 76:[49, 2] Operation: 4/2=2
Exploring Operation: 49-2=47, Resulting Numbers: [4, 47]
Generated Node #0,0,2: 76:[4, 47] Operation: 49-2=47
Exploring Operation: 4-2=2, Resulting Numbers: [49, 2]
Generated Node #0,0,3: 76:[49, 2] Operation: 4-2=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[2, 45], Operations: ['99-95=4', '49-4=45']
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,76 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 #0,0,2
Current State: 76:[4, 47], Operations: ['99-95=4', '49-2=47']
Exploring Operation: 4*47=188, Resulting Numbers: [188]
188,76 unequal: No Solution
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,76 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 #0,0,1
Current State: 76:[49, 2], Operations: ['99-95=4', '4/2=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,76 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:[49, 2], Operations: ['99-95=4', '4-2=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,76 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: 76:[2, 95, 50], Operations: ['99-49=50']
Exploring Operation: 95-2=93, Resulting Numbers: [50, 93]
Generated Node #0,2,0: 76:[50, 93] Operation: 95-2=93
Exploring Operation: 50-2=48, Resulting Numbers: [95, 48]
Generated Node #0,2,1: 76:[95, 48] Operation: 50-2=48
Exploring Operation: 95-50=45, Resulting Numbers: [2, 45]
Generated Node #0,2,2: 76:[2, 45] Operation: 95-50=45
Exploring Operation: 50/2=25, Resulting Numbers: [95, 25]
Generated Node #0,2,3: 76:[95, 25] Operation: 50/2=25
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 76:[2, 45], Operations: ['99-49=50', '95-50=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 76:[95, 25], Operations: ['99-49=50', '50/2=25']
Exploring Operation: 95-25=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 95*25=2375, Resulting Numbers: [2375]
2375,76 unequal: No Solution
Exploring Operation: 95+25=120, Resulting Numbers: [120]
120,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 76:[50, 93], Operations: ['99-49=50', '95-2=93']
Exploring Operation: 50*93=4650, Resulting Numbers: [4650]
4650,76 unequal: No Solution
Exploring Operation: 50+93=143, Resulting Numbers: [143]
143,76 unequal: No Solution
Exploring Operation: 93-50=43, Resulting Numbers: [43]
43,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 76:[95, 48], Operations: ['99-49=50', '50-2=48']
Exploring Operation: 95-48=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 95*48=4560, Resulting Numbers: [4560]
4560,76 unequal: No Solution
Exploring Operation: 95+48=143, Resulting Numbers: [143]
143,76 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: 76:[99, 2, 46], Operations: ['95-49=46']
Exploring Operation: 46/2=23, Resulting Numbers: [99, 23]
Generated Node #0,1,0: 76:[99, 23] Operation: 46/2=23
Exploring Operation: 99-46=53, Resulting Numbers: [2, 53]
Generated Node #0,1,1: 76:[2, 53] Operation: 99-46=53
Exploring Operation: 99-2=97, Resulting Numbers: [46, 97]
Generated Node #0,1,2: 76:[46, 97] Operation: 99-2=97
Exploring Operation: 46-2=44, Resulting Numbers: [99, 44]
Generated Node #0,1,3: 76:[99, 44] Operation: 46-2=44
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 76:[2, 53], Operations: ['95-49=46', '99-46=53']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 2*53=106, Resulting Numbers: [106]
106,76 unequal: No Solution
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[99, 23], Operations: ['95-49=46', '46/2=23']
Exploring Operation: 99+23=122, Resulting Numbers: [122]
122,76 unequal: No Solution
Exploring Operation: 99*23=2277, Resulting Numbers: [2277]
2277,76 unequal: No Solution
Exploring Operation: 99-23=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[49, 99, 2, 95], Operations: []
Exploring Operation: 95-49=46, Resulting Numbers: [99, 2, 46]
Generated Node #0,1: 76:[99, 2, 46] Operation: 95-49=46
Moving to Node #0,1
Current State: 76:[99, 2, 46], Operations: ['95-49=46']
Exploring Operation: 46/2=23, Resulting Numbers: [99, 23]
Generated Node #0,1,0: 76:[99, 23] Operation: 46/2=23
Moving to Node #0,1,0
Current State: 76:[99, 23], Operations: ['95-49=46', '46/2=23']
Exploring Operation: 99-23=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.956597 | hs_4 | sum_heuristic |
[
83,
89,
2,
37
] | 20 | [
"89+37=126",
"126/2=63",
"83-63=20"
] | Current State: 20:[83, 89, 2, 37], Operations: []
Exploring Operation: 89+37=126, Resulting Numbers: [83, 2, 126]
Generated Node #2: [83, 2, 126] from Operation: 89+37=126
Current State: 20:[83, 2, 126], Operations: ['89+37=126']
Exploring Operation: 126/2=63, Resulting Numbers: [83, 63]
Generated Node #3: [83, 63] from Operation: 126/2=63
Current State: 20:[83, 63], Operations: ['89+37=126', '126/2=63']
Exploring Operation: 83-63=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[83, 89, 2, 37], Operations: []
Exploring Operation: 89-37=52, Resulting Numbers: [83, 2, 52]
Generated Node #0,0: 20:[83, 2, 52] Operation: 89-37=52
Exploring Operation: 89-83=6, Resulting Numbers: [2, 37, 6]
Generated Node #0,1: 20:[2, 37, 6] Operation: 89-83=6
Exploring Operation: 83-37=46, Resulting Numbers: [89, 2, 46]
Generated Node #0,2: 20:[89, 2, 46] Operation: 83-37=46
Exploring Operation: 83-2=81, Resulting Numbers: [89, 37, 81]
Generated Node #0,3: 20:[89, 37, 81] Operation: 83-2=81
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[2, 37, 6], Operations: ['89-83=6']
Exploring Operation: 6/2=3, Resulting Numbers: [37, 3]
Generated Node #0,1,0: 20:[37, 3] Operation: 6/2=3
Exploring Operation: 37-6=31, Resulting Numbers: [2, 31]
Generated Node #0,1,1: 20:[2, 31] Operation: 37-6=31
Exploring Operation: 6-2=4, Resulting Numbers: [37, 4]
Generated Node #0,1,2: 20:[37, 4] Operation: 6-2=4
Exploring Operation: 37-2=35, Resulting Numbers: [6, 35]
Generated Node #0,1,3: 20:[6, 35] Operation: 37-2=35
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 20:[2, 31], Operations: ['89-83=6', '37-6=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,20 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,20 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,20 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:[6, 35], Operations: ['89-83=6', '37-2=35']
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,20 unequal: No Solution
Exploring Operation: 6*35=210, Resulting Numbers: [210]
210,20 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:[37, 4], Operations: ['89-83=6', '6-2=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 37*4=148, Resulting Numbers: [148]
148,20 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,20 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:[37, 3], Operations: ['89-83=6', '6/2=3']
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,20 unequal: No Solution
Exploring Operation: 37*3=111, Resulting Numbers: [111]
111,20 unequal: No Solution
Exploring Operation: 37-3=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 #0,0
Current State: 20:[83, 2, 52], Operations: ['89-37=52']
Exploring Operation: 83-52=31, Resulting Numbers: [2, 31]
Generated Node #0,0,0: 20:[2, 31] Operation: 83-52=31
Exploring Operation: 83-2=81, Resulting Numbers: [52, 81]
Generated Node #0,0,1: 20:[52, 81] Operation: 83-2=81
Exploring Operation: 52-2=50, Resulting Numbers: [83, 50]
Generated Node #0,0,2: 20:[83, 50] Operation: 52-2=50
Exploring Operation: 52/2=26, Resulting Numbers: [83, 26]
Generated Node #0,0,3: 20:[83, 26] Operation: 52/2=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[2, 31], Operations: ['89-37=52', '83-52=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,20 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,20 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,20 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 #0,0,3
Current State: 20:[83, 26], Operations: ['89-37=52', '52/2=26']
Exploring Operation: 83*26=2158, Resulting Numbers: [2158]
2158,20 unequal: No Solution
Exploring Operation: 83+26=109, Resulting Numbers: [109]
109,20 unequal: No Solution
Exploring Operation: 83-26=57, Resulting Numbers: [57]
57,20 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 #0,0,1
Current State: 20:[52, 81], Operations: ['89-37=52', '83-2=81']
Exploring Operation: 52+81=133, Resulting Numbers: [133]
133,20 unequal: No Solution
Exploring Operation: 52*81=4212, Resulting Numbers: [4212]
4212,20 unequal: No Solution
Exploring Operation: 81-52=29, Resulting Numbers: [29]
29,20 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 #0,0,2
Current State: 20:[83, 50], Operations: ['89-37=52', '52-2=50']
Exploring Operation: 83+50=133, Resulting Numbers: [133]
133,20 unequal: No Solution
Exploring Operation: 83*50=4150, Resulting Numbers: [4150]
4150,20 unequal: No Solution
Exploring Operation: 83-50=33, Resulting Numbers: [33]
33,20 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:[89, 2, 46], Operations: ['83-37=46']
Exploring Operation: 89-46=43, Resulting Numbers: [2, 43]
Generated Node #0,2,0: 20:[2, 43] Operation: 89-46=43
Exploring Operation: 46-2=44, Resulting Numbers: [89, 44]
Generated Node #0,2,1: 20:[89, 44] Operation: 46-2=44
Exploring Operation: 46/2=23, Resulting Numbers: [89, 23]
Generated Node #0,2,2: 20:[89, 23] Operation: 46/2=23
Exploring Operation: 89-2=87, Resulting Numbers: [46, 87]
Generated Node #0,2,3: 20:[46, 87] Operation: 89-2=87
Moving to Node #0,2,0
Current State: 20:[2, 43], Operations: ['83-37=46', '89-46=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,20 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Moving to Node #0,2,2
Current State: 20:[89, 23], Operations: ['83-37=46', '46/2=23']
Exploring Operation: 89*23=2047, Resulting Numbers: [2047]
2047,20 unequal: No Solution
Exploring Operation: 89+23=112, Resulting Numbers: [112]
112,20 unequal: No Solution
Exploring Operation: 89-23=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Moving to Node #0,2,3
Current State: 20:[46, 87], Operations: ['83-37=46', '89-2=87']
Exploring Operation: 87-46=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 46*87=4002, Resulting Numbers: [4002]
4002,20 unequal: No Solution
Exploring Operation: 46+87=133, Resulting Numbers: [133]
133,20 unequal: No Solution
Moving to Node #0,2,1
Current State: 20:[89, 44], Operations: ['83-37=46', '46-2=44']
Exploring Operation: 89-44=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 89*44=3916, Resulting Numbers: [3916]
3916,20 unequal: No Solution
Exploring Operation: 89+44=133, Resulting Numbers: [133]
133,20 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 #0,3
Current State: 20:[89, 37, 81], Operations: ['83-2=81']
Exploring Operation: 89-37=52, Resulting Numbers: [81, 52]
Generated Node #0,3,0: 20:[81, 52] Operation: 89-37=52
Exploring Operation: 89+37=126, Resulting Numbers: [81, 126]
Generated Node #0,3,1: 20:[81, 126] Operation: 89+37=126
Exploring Operation: 89-81=8, Resulting Numbers: [37, 8]
Generated Node #0,3,2: 20:[37, 8] Operation: 89-81=8
Exploring Operation: 81-37=44, Resulting Numbers: [89, 44]
Generated Node #0,3,3: 20:[89, 44] Operation: 81-37=44
Moving to Node #0,3,2
Current State: 20:[37, 8], Operations: ['83-2=81', '89-81=8']
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 37*8=296, Resulting Numbers: [296]
296,20 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,20 unequal: No Solution
Moving to Node #0,3,3
Current State: 20:[89, 44], Operations: ['83-2=81', '81-37=44']
Exploring Operation: 89*44=3916, Resulting Numbers: [3916]
3916,20 unequal: No Solution
Exploring Operation: 89-44=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 89+44=133, Resulting Numbers: [133]
133,20 unequal: No Solution
Moving to Node #0,3,0
Current State: 20:[81, 52], Operations: ['83-2=81', '89-37=52']
Exploring Operation: 81*52=4212, Resulting Numbers: [4212]
4212,20 unequal: No Solution
Exploring Operation: 81-52=29, Resulting Numbers: [29]
29,20 unequal: No Solution
Exploring Operation: 81+52=133, Resulting Numbers: [133]
133,20 unequal: No Solution
Moving to Node #0,3,1
Current State: 20:[81, 126], Operations: ['83-2=81', '89+37=126']
Exploring Operation: 126-81=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 81+126=207, Resulting Numbers: [207]
207,20 unequal: No Solution
Exploring Operation: 81*126=10206, Resulting Numbers: [10206]
10206,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
83,
2,
79,
67
] | 73 | [
"83+2=85",
"79-67=12",
"85-12=73"
] | Current State: 73:[83, 2, 79, 67], Operations: []
Exploring Operation: 83+2=85, Resulting Numbers: [79, 67, 85]
Generated Node #2: [79, 67, 85] from Operation: 83+2=85
Current State: 73:[79, 67, 85], Operations: ['83+2=85']
Exploring Operation: 79-67=12, Resulting Numbers: [85, 12]
Generated Node #3: [85, 12] from Operation: 79-67=12
Current State: 73:[85, 12], Operations: ['83+2=85', '79-67=12']
Exploring Operation: 85-12=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[83, 2, 79, 67], Operations: []
Exploring Operation: 2+67=69, Resulting Numbers: [83, 79, 69]
Generated Node #0,0: 73:[83, 79, 69] Operation: 2+67=69
Exploring Operation: 79-2=77, Resulting Numbers: [83, 67, 77]
Generated Node #0,1: 73:[83, 67, 77] Operation: 79-2=77
Exploring Operation: 83-2=81, Resulting Numbers: [79, 67, 81]
Generated Node #0,2: 73:[79, 67, 81] Operation: 83-2=81
Moving to Node #0,0
Current State: 73:[83, 79, 69], Operations: ['2+67=69']
Exploring Operation: 83-69=14, Resulting Numbers: [79, 14]
Generated Node #0,0,0: 73:[79, 14] Operation: 83-69=14
Exploring Operation: 83-79=4, Resulting Numbers: [69, 4]
Generated Node #0,0,1: 73:[69, 4] Operation: 83-79=4
Exploring Operation: 79-69=10, Resulting Numbers: [83, 10]
Generated Node #0,0,2: 73:[83, 10] Operation: 79-69=10
Moving to Node #0,1
Current State: 73:[83, 67, 77], Operations: ['79-2=77']
Exploring Operation: 77-67=10, Resulting Numbers: [83, 10]
Generated Node #0,1,0: 73:[83, 10] Operation: 77-67=10
Exploring Operation: 83-67=16, Resulting Numbers: [77, 16]
Generated Node #0,1,1: 73:[77, 16] Operation: 83-67=16
Exploring Operation: 83-77=6, Resulting Numbers: [67, 6]
Generated Node #0,1,2: 73:[67, 6] Operation: 83-77=6
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[77, 16], Operations: ['79-2=77', '83-67=16']
Exploring Operation: 77-16=61, Resulting Numbers: [61]
61,73 unequal: No Solution
Exploring Operation: 77*16=1232, Resulting Numbers: [1232]
1232,73 unequal: No Solution
Exploring Operation: 77+16=93, Resulting Numbers: [93]
93,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[83, 10], Operations: ['79-2=77', '77-67=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[83, 2, 79, 67], Operations: []
Exploring Operation: 79-2=77, Resulting Numbers: [83, 67, 77]
Generated Node #0,1: 73:[83, 67, 77] Operation: 79-2=77
Moving to Node #0,1
Current State: 73:[83, 67, 77], Operations: ['79-2=77']
Exploring Operation: 77-67=10, Resulting Numbers: [83, 10]
Generated Node #0,1,0: 73:[83, 10] Operation: 77-67=10
Moving to Node #0,1,0
Current State: 73:[83, 10], Operations: ['79-2=77', '77-67=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
26,
28,
95,
86
] | 99 | [
"26+86=112",
"112/28=4",
"95+4=99"
] | Current State: 99:[26, 28, 95, 86], Operations: []
Exploring Operation: 26+86=112, Resulting Numbers: [28, 95, 112]
Generated Node #2: [28, 95, 112] from Operation: 26+86=112
Current State: 99:[28, 95, 112], Operations: ['26+86=112']
Exploring Operation: 112/28=4, Resulting Numbers: [95, 4]
Generated Node #3: [95, 4] from Operation: 112/28=4
Current State: 99:[95, 4], Operations: ['26+86=112', '112/28=4']
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[26, 28, 95, 86], Operations: []
Exploring Operation: 28+86=114, Resulting Numbers: [26, 95, 114]
Generated Node #0,0: 99:[26, 95, 114] Operation: 28+86=114
Exploring Operation: 28-26=2, Resulting Numbers: [95, 86, 2]
Generated Node #0,1: 99:[95, 86, 2] Operation: 28-26=2
Exploring Operation: 95-86=9, Resulting Numbers: [26, 28, 9]
Generated Node #0,2: 99:[26, 28, 9] Operation: 95-86=9
Exploring Operation: 26+86=112, Resulting Numbers: [28, 95, 112]
Generated Node #0,3: 99:[28, 95, 112] Operation: 26+86=112
Moving to Node #0,2
Current State: 99:[26, 28, 9], Operations: ['95-86=9']
Exploring Operation: 26+9=35, Resulting Numbers: [28, 35]
Generated Node #0,2,0: 99:[28, 35] Operation: 26+9=35
Exploring Operation: 26-9=17, Resulting Numbers: [28, 17]
Generated Node #0,2,1: 99:[28, 17] Operation: 26-9=17
Exploring Operation: 28+9=37, Resulting Numbers: [26, 37]
Generated Node #0,2,2: 99:[26, 37] Operation: 28+9=37
Exploring Operation: 28-26=2, Resulting Numbers: [9, 2]
Generated Node #0,2,3: 99:[9, 2] Operation: 28-26=2
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 99:[9, 2], Operations: ['95-86=9', '28-26=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,99 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 99:[28, 35], Operations: ['95-86=9', '26+9=35']
Exploring Operation: 28*35=980, Resulting Numbers: [980]
980,99 unequal: No Solution
Exploring Operation: 28+35=63, Resulting Numbers: [63]
63,99 unequal: No Solution
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 99:[28, 17], Operations: ['95-86=9', '26-9=17']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 28*17=476, Resulting Numbers: [476]
476,99 unequal: No Solution
Exploring Operation: 28+17=45, Resulting Numbers: [45]
45,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 99:[26, 37], Operations: ['95-86=9', '28+9=37']
Exploring Operation: 37-26=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 26*37=962, Resulting Numbers: [962]
962,99 unequal: No Solution
Exploring Operation: 26+37=63, Resulting Numbers: [63]
63,99 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: 99:[95, 86, 2], Operations: ['28-26=2']
Exploring Operation: 95+2=97, Resulting Numbers: [86, 97]
Generated Node #0,1,0: 99:[86, 97] Operation: 95+2=97
Exploring Operation: 86+2=88, Resulting Numbers: [95, 88]
Generated Node #0,1,1: 99:[95, 88] Operation: 86+2=88
Exploring Operation: 86/2=43, Resulting Numbers: [95, 43]
Generated Node #0,1,2: 99:[95, 43] Operation: 86/2=43
Exploring Operation: 95-86=9, Resulting Numbers: [2, 9]
Generated Node #0,1,3: 99:[2, 9] Operation: 95-86=9
Moving to Node #0,3
Current State: 99:[28, 95, 112], Operations: ['26+86=112']
Exploring Operation: 112/28=4, Resulting Numbers: [95, 4]
Generated Node #0,3,0: 99:[95, 4] Operation: 112/28=4
Exploring Operation: 28+95=123, Resulting Numbers: [112, 123]
Generated Node #0,3,1: 99:[112, 123] Operation: 28+95=123
Exploring Operation: 112-28=84, Resulting Numbers: [95, 84]
Generated Node #0,3,2: 99:[95, 84] Operation: 112-28=84
Exploring Operation: 112-95=17, Resulting Numbers: [28, 17]
Generated Node #0,3,3: 99:[28, 17] Operation: 112-95=17
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 99:[95, 4], Operations: ['26+86=112', '112/28=4']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,99 unequal: No Solution
Exploring Operation: 95*4=380, Resulting Numbers: [380]
380,99 unequal: No Solution
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[26, 28, 95, 86], Operations: []
Exploring Operation: 26+86=112, Resulting Numbers: [28, 95, 112]
Generated Node #0,3: 99:[28, 95, 112] Operation: 26+86=112
Moving to Node #0,3
Current State: 99:[28, 95, 112], Operations: ['26+86=112']
Exploring Operation: 112/28=4, Resulting Numbers: [95, 4]
Generated Node #0,3,0: 99:[95, 4] Operation: 112/28=4
Moving to Node #0,3,0
Current State: 99:[95, 4], Operations: ['26+86=112', '112/28=4']
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_4 | mult_heuristic |
[
72,
78,
54,
59
] | 48 | [
"72-59=13",
"78/13=6",
"54-6=48"
] | Current State: 48:[72, 78, 54, 59], Operations: []
Exploring Operation: 72-59=13, Resulting Numbers: [78, 54, 13]
Generated Node #2: [78, 54, 13] from Operation: 72-59=13
Current State: 48:[78, 54, 13], Operations: ['72-59=13']
Exploring Operation: 78/13=6, Resulting Numbers: [54, 6]
Generated Node #3: [54, 6] from Operation: 78/13=6
Current State: 48:[54, 6], Operations: ['72-59=13', '78/13=6']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[72, 78, 54, 59], Operations: []
Exploring Operation: 78-72=6, Resulting Numbers: [54, 59, 6]
Generated Node #0,0: 48:[54, 59, 6] Operation: 78-72=6
Exploring Operation: 78-54=24, Resulting Numbers: [72, 59, 24]
Generated Node #0,1: 48:[72, 59, 24] Operation: 78-54=24
Exploring Operation: 72-59=13, Resulting Numbers: [78, 54, 13]
Generated Node #0,2: 48:[78, 54, 13] Operation: 72-59=13
Exploring Operation: 78-59=19, Resulting Numbers: [72, 54, 19]
Generated Node #0,3: 48:[72, 54, 19] Operation: 78-59=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[54, 59, 6], Operations: ['78-72=6']
Exploring Operation: 59-54=5, Resulting Numbers: [6, 5]
Generated Node #0,0,0: 48:[6, 5] Operation: 59-54=5
Exploring Operation: 59-6=53, Resulting Numbers: [54, 53]
Generated Node #0,0,1: 48:[54, 53] Operation: 59-6=53
Exploring Operation: 54-6=48, Resulting Numbers: [59, 48]
Generated Node #0,0,2: 48:[59, 48] Operation: 54-6=48
Exploring Operation: 54/6=9, Resulting Numbers: [59, 9]
Generated Node #0,0,3: 48:[59, 9] Operation: 54/6=9
Moving to Node #0,0,0
Current State: 48:[6, 5], Operations: ['78-72=6', '59-54=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[59, 48], Operations: ['78-72=6', '54-6=48']
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 59+48=107, Resulting Numbers: [107]
107,48 unequal: No Solution
Exploring Operation: 59*48=2832, Resulting Numbers: [2832]
2832,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[54, 53], Operations: ['78-72=6', '59-6=53']
Exploring Operation: 54+53=107, Resulting Numbers: [107]
107,48 unequal: No Solution
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 54*53=2862, Resulting Numbers: [2862]
2862,48 unequal: No Solution
Moving to Node #0,0,3
Current State: 48:[59, 9], Operations: ['78-72=6', '54/6=9']
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,48 unequal: No Solution
Exploring Operation: 59+9=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 59*9=531, Resulting Numbers: [531]
531,48 unequal: No Solution
No 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: 48:[72, 54, 19], Operations: ['78-59=19']
Exploring Operation: 72-54=18, Resulting Numbers: [19, 18]
Generated Node #0,3,0: 48:[19, 18] Operation: 72-54=18
Exploring Operation: 72+19=91, Resulting Numbers: [54, 91]
Generated Node #0,3,1: 48:[54, 91] Operation: 72+19=91
Exploring Operation: 54-19=35, Resulting Numbers: [72, 35]
Generated Node #0,3,2: 48:[72, 35] Operation: 54-19=35
Exploring Operation: 72-19=53, Resulting Numbers: [54, 53]
Generated Node #0,3,3: 48:[54, 53] Operation: 72-19=53
Moving to Node #0,3,0
Current State: 48:[19, 18], Operations: ['78-59=19', '72-54=18']
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,48 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[54, 53], Operations: ['78-59=19', '72-19=53']
Exploring Operation: 54*53=2862, Resulting Numbers: [2862]
2862,48 unequal: No Solution
Exploring Operation: 54+53=107, Resulting Numbers: [107]
107,48 unequal: No Solution
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[72, 35], Operations: ['78-59=19', '54-19=35']
Exploring Operation: 72*35=2520, Resulting Numbers: [2520]
2520,48 unequal: No Solution
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 72+35=107, Resulting Numbers: [107]
107,48 unequal: No Solution
Moving to Node #0,3,1
Current State: 48:[54, 91], Operations: ['78-59=19', '72+19=91']
Exploring Operation: 54*91=4914, Resulting Numbers: [4914]
4914,48 unequal: No Solution
Exploring Operation: 54+91=145, Resulting Numbers: [145]
145,48 unequal: No Solution
Exploring Operation: 91-54=37, Resulting Numbers: [37]
37,48 unequal: No Solution
No 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: 48:[72, 59, 24], Operations: ['78-54=24']
Exploring Operation: 72-59=13, Resulting Numbers: [24, 13]
Generated Node #0,1,0: 48:[24, 13] Operation: 72-59=13
Exploring Operation: 72/24=3, Resulting Numbers: [59, 3]
Generated Node #0,1,1: 48:[59, 3] Operation: 72/24=3
Exploring Operation: 59-24=35, Resulting Numbers: [72, 35]
Generated Node #0,1,2: 48:[72, 35] Operation: 59-24=35
Exploring Operation: 72-24=48, Resulting Numbers: [59, 48]
Generated Node #0,1,3: 48:[59, 48] Operation: 72-24=48
Moving to Node #0,1,0
Current State: 48:[24, 13], Operations: ['78-54=24', '72-59=13']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 24*13=312, Resulting Numbers: [312]
312,48 unequal: No Solution
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[59, 48], Operations: ['78-54=24', '72-24=48']
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 59+48=107, Resulting Numbers: [107]
107,48 unequal: No Solution
Exploring Operation: 59*48=2832, Resulting Numbers: [2832]
2832,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[59, 3], Operations: ['78-54=24', '72/24=3']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[72, 35], Operations: ['78-54=24', '59-24=35']
Exploring Operation: 72+35=107, Resulting Numbers: [107]
107,48 unequal: No Solution
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 72*35=2520, Resulting Numbers: [2520]
2520,48 unequal: No Solution
No 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: 48:[78, 54, 13], Operations: ['72-59=13']
Exploring Operation: 78-13=65, Resulting Numbers: [54, 65]
Generated Node #0,2,0: 48:[54, 65] Operation: 78-13=65
Exploring Operation: 78-54=24, Resulting Numbers: [13, 24]
Generated Node #0,2,1: 48:[13, 24] Operation: 78-54=24
Exploring Operation: 78/13=6, Resulting Numbers: [54, 6]
Generated Node #0,2,2: 48:[54, 6] Operation: 78/13=6
Exploring Operation: 54-13=41, Resulting Numbers: [78, 41]
Generated Node #0,2,3: 48:[78, 41] Operation: 54-13=41
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 48:[13, 24], Operations: ['72-59=13', '78-54=24']
Exploring Operation: 13*24=312, Resulting Numbers: [312]
312,48 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 13+24=37, Resulting Numbers: [37]
37,48 unequal: No Solution
No 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: 48:[54, 6], Operations: ['72-59=13', '78/13=6']
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[72, 78, 54, 59], Operations: []
Exploring Operation: 72-59=13, Resulting Numbers: [78, 54, 13]
Generated Node #0,2: 48:[78, 54, 13] Operation: 72-59=13
Moving to Node #0,2
Current State: 48:[78, 54, 13], Operations: ['72-59=13']
Exploring Operation: 78/13=6, Resulting Numbers: [54, 6]
Generated Node #0,2,2: 48:[54, 6] Operation: 78/13=6
Moving to Node #0,2,2
Current State: 48:[54, 6], Operations: ['72-59=13', '78/13=6']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.943576 | hs_4 | mult_heuristic |
[
11,
21,
28,
79
] | 19 | [
"11+21=32",
"79-28=51",
"51-32=19"
] | Current State: 19:[11, 21, 28, 79], Operations: []
Exploring Operation: 11+21=32, Resulting Numbers: [28, 79, 32]
Generated Node #2: [28, 79, 32] from Operation: 11+21=32
Current State: 19:[28, 79, 32], Operations: ['11+21=32']
Exploring Operation: 79-28=51, Resulting Numbers: [32, 51]
Generated Node #3: [32, 51] from Operation: 79-28=51
Current State: 19:[32, 51], Operations: ['11+21=32', '79-28=51']
Exploring Operation: 51-32=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[11, 21, 28, 79], Operations: []
Exploring Operation: 79-21=58, Resulting Numbers: [11, 28, 58]
Generated Node #0,0: 19:[11, 28, 58] Operation: 79-21=58
Exploring Operation: 28-11=17, Resulting Numbers: [21, 79, 17]
Generated Node #0,1: 19:[21, 79, 17] Operation: 28-11=17
Exploring Operation: 79-28=51, Resulting Numbers: [11, 21, 51]
Generated Node #0,2: 19:[11, 21, 51] Operation: 79-28=51
Exploring Operation: 79-11=68, Resulting Numbers: [21, 28, 68]
Generated Node #0,3: 19:[21, 28, 68] Operation: 79-11=68
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[11, 21, 51], Operations: ['79-28=51']
Exploring Operation: 51-11=40, Resulting Numbers: [21, 40]
Generated Node #0,2,0: 19:[21, 40] Operation: 51-11=40
Exploring Operation: 21-11=10, Resulting Numbers: [51, 10]
Generated Node #0,2,1: 19:[51, 10] Operation: 21-11=10
Exploring Operation: 11+21=32, Resulting Numbers: [51, 32]
Generated Node #0,2,2: 19:[51, 32] Operation: 11+21=32
Exploring Operation: 51-21=30, Resulting Numbers: [11, 30]
Generated Node #0,2,3: 19:[11, 30] Operation: 51-21=30
Moving to Node #0,2,3
Current State: 19:[11, 30], Operations: ['79-28=51', '51-21=30']
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,19 unequal: No Solution
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,19 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[11, 21, 28, 79], Operations: []
Exploring Operation: 79-28=51, Resulting Numbers: [11, 21, 51]
Generated Node #0,2: 19:[11, 21, 51] Operation: 79-28=51
Moving to Node #0,2
Current State: 19:[11, 21, 51], Operations: ['79-28=51']
Exploring Operation: 51-21=30, Resulting Numbers: [11, 30]
Generated Node #0,2,3: 19:[11, 30] Operation: 51-21=30
Moving to Node #0,2,3
Current State: 19:[11, 30], Operations: ['79-28=51', '51-21=30']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
2,
34,
23,
44
] | 38 | [
"34/2=17",
"44-23=21",
"17+21=38"
] | Current State: 38:[2, 34, 23, 44], Operations: []
Exploring Operation: 34/2=17, Resulting Numbers: [23, 44, 17]
Generated Node #2: [23, 44, 17] from Operation: 34/2=17
Current State: 38:[23, 44, 17], Operations: ['34/2=17']
Exploring Operation: 44-23=21, Resulting Numbers: [17, 21]
Generated Node #3: [17, 21] from Operation: 44-23=21
Current State: 38:[17, 21], Operations: ['34/2=17', '44-23=21']
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[2, 34, 23, 44], Operations: []
Exploring Operation: 44/2=22, Resulting Numbers: [34, 23, 22]
Generated Node #0,0: 38:[34, 23, 22] Operation: 44/2=22
Exploring Operation: 44-23=21, Resulting Numbers: [2, 34, 21]
Generated Node #0,1: 38:[2, 34, 21] Operation: 44-23=21
Exploring Operation: 2+34=36, Resulting Numbers: [23, 44, 36]
Generated Node #0,2: 38:[23, 44, 36] Operation: 2+34=36
Moving to Node #0,1
Current State: 38:[2, 34, 21], Operations: ['44-23=21']
Exploring Operation: 34/2=17, Resulting Numbers: [21, 17]
Generated Node #0,1,0: 38:[21, 17] Operation: 34/2=17
Exploring Operation: 21-2=19, Resulting Numbers: [34, 19]
Generated Node #0,1,1: 38:[34, 19] Operation: 21-2=19
Exploring Operation: 2+34=36, Resulting Numbers: [21, 36]
Generated Node #0,1,2: 38:[21, 36] Operation: 2+34=36
Moving to Node #0,0
Current State: 38:[34, 23, 22], Operations: ['44/2=22']
Exploring Operation: 34-22=12, Resulting Numbers: [23, 12]
Generated Node #0,0,0: 38:[23, 12] Operation: 34-22=12
Exploring Operation: 34-23=11, Resulting Numbers: [22, 11]
Generated Node #0,0,1: 38:[22, 11] Operation: 34-23=11
Exploring Operation: 23-22=1, Resulting Numbers: [34, 1]
Generated Node #0,0,2: 38:[34, 1] Operation: 23-22=1
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 38:[34, 1], Operations: ['44/2=22', '23-22=1']
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[23, 12], Operations: ['44/2=22', '34-22=12']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,38 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[22, 11], Operations: ['44/2=22', '34-23=11']
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,38 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: 38:[23, 44, 36], Operations: ['2+34=36']
Exploring Operation: 36-23=13, Resulting Numbers: [44, 13]
Generated Node #0,2,0: 38:[44, 13] Operation: 36-23=13
Exploring Operation: 44-36=8, Resulting Numbers: [23, 8]
Generated Node #0,2,1: 38:[23, 8] Operation: 44-36=8
Exploring Operation: 44-23=21, Resulting Numbers: [36, 21]
Generated Node #0,2,2: 38:[36, 21] Operation: 44-23=21
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 38:[36, 21], Operations: ['2+34=36', '44-23=21']
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 36+21=57, Resulting Numbers: [57]
57,38 unequal: No Solution
Exploring Operation: 36*21=756, Resulting Numbers: [756]
756,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 38:[23, 8], Operations: ['2+34=36', '44-36=8']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,38 unequal: No Solution
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 38:[44, 13], Operations: ['2+34=36', '36-23=13']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,38 unequal: No Solution
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,38 unequal: No Solution
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 38:[21, 17], Operations: ['44-23=21', '34/2=17']
Exploring Operation: 21*17=357, Resulting Numbers: [357]
357,38 unequal: No Solution
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[2, 34, 23, 44], Operations: []
Exploring Operation: 44-23=21, Resulting Numbers: [2, 34, 21]
Generated Node #0,1: 38:[2, 34, 21] Operation: 44-23=21
Moving to Node #0,1
Current State: 38:[2, 34, 21], Operations: ['44-23=21']
Exploring Operation: 34/2=17, Resulting Numbers: [21, 17]
Generated Node #0,1,0: 38:[21, 17] Operation: 34/2=17
Moving to Node #0,1,0
Current State: 38:[21, 17], Operations: ['44-23=21', '34/2=17']
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.96875 | hs_3 | sum_heuristic |
[
65,
69,
2,
61
] | 53 | [
"69-65=4",
"2*4=8",
"61-8=53"
] | Current State: 53:[65, 69, 2, 61], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [2, 61, 4]
Generated Node #2: [2, 61, 4] from Operation: 69-65=4
Current State: 53:[2, 61, 4], Operations: ['69-65=4']
Exploring Operation: 2*4=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 2*4=8
Current State: 53:[61, 8], Operations: ['69-65=4', '2*4=8']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[65, 69, 2, 61], Operations: []
Exploring Operation: 65-2=63, Resulting Numbers: [69, 61, 63]
Generated Node #0,0: 53:[69, 61, 63] Operation: 65-2=63
Exploring Operation: 69-2=67, Resulting Numbers: [65, 61, 67]
Generated Node #0,1: 53:[65, 61, 67] Operation: 69-2=67
Moving to Node #0,0
Current State: 53:[69, 61, 63], Operations: ['65-2=63']
Exploring Operation: 69-61=8, Resulting Numbers: [63, 8]
Generated Node #0,0,0: 53:[63, 8] Operation: 69-61=8
Exploring Operation: 69-63=6, Resulting Numbers: [61, 6]
Generated Node #0,0,1: 53:[61, 6] Operation: 69-63=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[63, 8], Operations: ['65-2=63', '69-61=8']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,53 unequal: No Solution
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,53 unequal: No Solution
No 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: 53:[61, 6], Operations: ['65-2=63', '69-63=6']
Exploring Operation: 61+6=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,53 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: 53:[65, 61, 67], Operations: ['69-2=67']
Exploring Operation: 67-61=6, Resulting Numbers: [65, 6]
Generated Node #0,1,0: 53:[65, 6] Operation: 67-61=6
Exploring Operation: 67-65=2, Resulting Numbers: [61, 2]
Generated Node #0,1,1: 53:[61, 2] Operation: 67-65=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[65, 6], Operations: ['69-2=67', '67-61=6']
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,53 unequal: No Solution
Exploring Operation: 65+6=71, Resulting Numbers: [71]
71,53 unequal: No Solution
No 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: 53:[61, 2], Operations: ['69-2=67', '67-65=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,53 unequal: No Solution
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
54,
49,
54,
16
] | 65 | [
"54+49=103",
"54-16=38",
"103-38=65"
] | Current State: 65:[54, 49, 54, 16], Operations: []
Exploring Operation: 54+49=103, Resulting Numbers: [16, 103]
Generated Node #2: [16, 103] from Operation: 54+49=103
Current State: 65:[16, 103], Operations: ['54+49=103']
Exploring Operation: 54-16=38, Resulting Numbers: [103, 38]
Generated Node #3: [103, 38] from Operation: 54-16=38
Current State: 65:[103, 38], Operations: ['54+49=103', '54-16=38']
Exploring Operation: 103-38=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[54, 49, 54, 16], Operations: []
Exploring Operation: 49+16=65, Resulting Numbers: [54, 54, 65]
Generated Node #0,0: 65:[54, 54, 65] Operation: 49+16=65
Exploring Operation: 54-49=5, Resulting Numbers: [54, 16, 5]
Generated Node #0,1: 65:[54, 16, 5] Operation: 54-49=5
Exploring Operation: 54-49=5, Resulting Numbers: [54, 16, 5]
Generated Node #0,2: 65:[54, 16, 5] Operation: 54-49=5
Exploring Operation: 54/54=1, Resulting Numbers: [49, 16, 1]
Generated Node #0,3: 65:[49, 16, 1] Operation: 54/54=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[54, 16, 5], Operations: ['54-49=5']
Exploring Operation: 54-5=49, Resulting Numbers: [16, 49]
Generated Node #0,1,0: 65:[16, 49] Operation: 54-5=49
Exploring Operation: 54+5=59, Resulting Numbers: [16, 59]
Generated Node #0,1,1: 65:[16, 59] Operation: 54+5=59
Exploring Operation: 16-5=11, Resulting Numbers: [54, 11]
Generated Node #0,1,2: 65:[54, 11] Operation: 16-5=11
Exploring Operation: 54+16=70, Resulting Numbers: [5, 70]
Generated Node #0,1,3: 65:[5, 70] Operation: 54+16=70
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 65:[5, 70], Operations: ['54-49=5', '54+16=70']
Exploring Operation: 5*70=350, Resulting Numbers: [350]
350,65 unequal: No Solution
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[54, 49, 54, 16], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [54, 16, 5]
Generated Node #0,1: 65:[54, 16, 5] Operation: 54-49=5
Moving to Node #0,1
Current State: 65:[54, 16, 5], Operations: ['54-49=5']
Exploring Operation: 54+16=70, Resulting Numbers: [5, 70]
Generated Node #0,1,3: 65:[5, 70] Operation: 54+16=70
Moving to Node #0,1,3
Current State: 65:[5, 70], Operations: ['54-49=5', '54+16=70']
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
8,
32,
5,
96
] | 64 | [
"8-5=3",
"96/3=32",
"32+32=64"
] | Current State: 64:[8, 32, 5, 96], Operations: []
Exploring Operation: 8-5=3, Resulting Numbers: [32, 96, 3]
Generated Node #2: [32, 96, 3] from Operation: 8-5=3
Current State: 64:[32, 96, 3], Operations: ['8-5=3']
Exploring Operation: 96/3=32, Resulting Numbers: [32, 32]
Generated Node #3: [32, 32] from Operation: 96/3=32
Current State: 64:[32, 32], Operations: ['8-5=3', '96/3=32']
Exploring Operation: 32+32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[8, 32, 5, 96], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [8, 5, 3]
Generated Node #0,0: 64:[8, 5, 3] Operation: 96/32=3
Exploring Operation: 96-8=88, Resulting Numbers: [32, 5, 88]
Generated Node #0,1: 64:[32, 5, 88] Operation: 96-8=88
Exploring Operation: 96-32=64, Resulting Numbers: [8, 5, 64]
Generated Node #0,2: 64:[8, 5, 64] Operation: 96-32=64
Exploring Operation: 96/8=12, Resulting Numbers: [32, 5, 12]
Generated Node #0,3: 64:[32, 5, 12] Operation: 96/8=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[8, 5, 64], Operations: ['96-32=64']
Exploring Operation: 8-5=3, Resulting Numbers: [64, 3]
Generated Node #0,2,0: 64:[64, 3] Operation: 8-5=3
Exploring Operation: 8+5=13, Resulting Numbers: [64, 13]
Generated Node #0,2,1: 64:[64, 13] Operation: 8+5=13
Exploring Operation: 5+64=69, Resulting Numbers: [8, 69]
Generated Node #0,2,2: 64:[8, 69] Operation: 5+64=69
Exploring Operation: 64/8=8, Resulting Numbers: [5, 8]
Generated Node #0,2,3: 64:[5, 8] Operation: 64/8=8
Moving to Node #0,2,0
Current State: 64:[64, 3], Operations: ['96-32=64', '8-5=3']
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,64 unequal: No Solution
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,64 unequal: No Solution
Exploring Operation: 64*3=192, Resulting Numbers: [192]
192,64 unequal: No Solution
Moving to Node #0,2,3
Current State: 64:[5, 8], Operations: ['96-32=64', '64/8=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[64, 13], Operations: ['96-32=64', '8+5=13']
Exploring Operation: 64+13=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 64-13=51, Resulting Numbers: [51]
51,64 unequal: No Solution
Exploring Operation: 64*13=832, Resulting Numbers: [832]
832,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[8, 69], Operations: ['96-32=64', '5+64=69']
Exploring Operation: 8*69=552, Resulting Numbers: [552]
552,64 unequal: No Solution
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,64 unequal: No Solution
Exploring Operation: 8+69=77, Resulting Numbers: [77]
77,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[8, 5, 3], Operations: ['96/32=3']
Exploring Operation: 5*3=15, Resulting Numbers: [8, 15]
Generated Node #0,0,0: 64:[8, 15] Operation: 5*3=15
Exploring Operation: 5+3=8, Resulting Numbers: [8, 8]
Generated Node #0,0,1: 64:[8, 8] Operation: 5+3=8
Exploring Operation: 8-5=3, Resulting Numbers: [3, 3]
Generated Node #0,0,2: 64:[3, 3] Operation: 8-5=3
Exploring Operation: 5-3=2, Resulting Numbers: [8, 2]
Generated Node #0,0,3: 64:[8, 2] Operation: 5-3=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 64:[8, 8], Operations: ['96/32=3', '5+3=8']
Exploring Operation: 8-8=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[8, 32, 5, 96], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [8, 5, 3]
Generated Node #0,0: 64:[8, 5, 3] Operation: 96/32=3
Moving to Node #0,0
Current State: 64:[8, 5, 3], Operations: ['96/32=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8, 8]
Generated Node #0,0,1: 64:[8, 8] Operation: 5+3=8
Moving to Node #0,0,1
Current State: 64:[8, 8], Operations: ['96/32=3', '5+3=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
4,
69,
12,
29
] | 37 | [
"12/4=3",
"69-29=40",
"40-3=37"
] | Current State: 37:[4, 69, 12, 29], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [69, 29, 3]
Generated Node #2: [69, 29, 3] from Operation: 12/4=3
Current State: 37:[69, 29, 3], Operations: ['12/4=3']
Exploring Operation: 69-29=40, Resulting Numbers: [3, 40]
Generated Node #3: [3, 40] from Operation: 69-29=40
Current State: 37:[3, 40], Operations: ['12/4=3', '69-29=40']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[4, 69, 12, 29], Operations: []
Exploring Operation: 4+12=16, Resulting Numbers: [69, 29, 16]
Generated Node #0,0: 37:[69, 29, 16] Operation: 4+12=16
Exploring Operation: 69-4=65, Resulting Numbers: [12, 29, 65]
Generated Node #0,1: 37:[12, 29, 65] Operation: 69-4=65
Exploring Operation: 4*12=48, Resulting Numbers: [69, 29, 48]
Generated Node #0,2: 37:[69, 29, 48] Operation: 4*12=48
Exploring Operation: 4+29=33, Resulting Numbers: [69, 12, 33]
Generated Node #0,3: 37:[69, 12, 33] Operation: 4+29=33
Moving to Node #0,2
Current State: 37:[69, 29, 48], Operations: ['4*12=48']
Exploring Operation: 69-29=40, Resulting Numbers: [48, 40]
Generated Node #0,2,0: 37:[48, 40] Operation: 69-29=40
Exploring Operation: 48-29=19, Resulting Numbers: [69, 19]
Generated Node #0,2,1: 37:[69, 19] Operation: 48-29=19
Exploring Operation: 69-48=21, Resulting Numbers: [29, 21]
Generated Node #0,2,2: 37:[29, 21] Operation: 69-48=21
Exploring Operation: 69+29=98, Resulting Numbers: [48, 98]
Generated Node #0,2,3: 37:[48, 98] Operation: 69+29=98
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 37:[48, 40], Operations: ['4*12=48', '69-29=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,37 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,37 unequal: No Solution
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,37 unequal: No Solution
No 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: 37:[29, 21], Operations: ['4*12=48', '69-48=21']
Exploring Operation: 29*21=609, Resulting Numbers: [609]
609,37 unequal: No Solution
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Exploring Operation: 29+21=50, Resulting Numbers: [50]
50,37 unequal: No Solution
No 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: 37:[69, 19], Operations: ['4*12=48', '48-29=19']
Exploring Operation: 69+19=88, Resulting Numbers: [88]
88,37 unequal: No Solution
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,37 unequal: No Solution
Exploring Operation: 69*19=1311, Resulting Numbers: [1311]
1311,37 unequal: No Solution
No 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: 37:[48, 98], Operations: ['4*12=48', '69+29=98']
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,37 unequal: No Solution
Exploring Operation: 48*98=4704, Resulting Numbers: [4704]
4704,37 unequal: No Solution
Exploring Operation: 48+98=146, Resulting Numbers: [146]
146,37 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: 37:[12, 29, 65], Operations: ['69-4=65']
Exploring Operation: 65-12=53, Resulting Numbers: [29, 53]
Generated Node #0,1,0: 37:[29, 53] Operation: 65-12=53
Exploring Operation: 65-29=36, Resulting Numbers: [12, 36]
Generated Node #0,1,1: 37:[12, 36] Operation: 65-29=36
Exploring Operation: 29-12=17, Resulting Numbers: [65, 17]
Generated Node #0,1,2: 37:[65, 17] Operation: 29-12=17
Exploring Operation: 12+29=41, Resulting Numbers: [65, 41]
Generated Node #0,1,3: 37:[65, 41] Operation: 12+29=41
Moving to Node #0,0
Current State: 37:[69, 29, 16], Operations: ['4+12=16']
Exploring Operation: 69+16=85, Resulting Numbers: [29, 85]
Generated Node #0,0,0: 37:[29, 85] Operation: 69+16=85
Exploring Operation: 69-29=40, Resulting Numbers: [16, 40]
Generated Node #0,0,1: 37:[16, 40] Operation: 69-29=40
Exploring Operation: 29+16=45, Resulting Numbers: [69, 45]
Generated Node #0,0,2: 37:[69, 45] Operation: 29+16=45
Exploring Operation: 69-16=53, Resulting Numbers: [29, 53]
Generated Node #0,0,3: 37:[29, 53] Operation: 69-16=53
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[16, 40], Operations: ['4+12=16', '69-29=40']
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 16+40=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 16*40=640, Resulting Numbers: [640]
640,37 unequal: No Solution
No 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: 37:[29, 53], Operations: ['4+12=16', '69-16=53']
Exploring Operation: 29*53=1537, Resulting Numbers: [1537]
1537,37 unequal: No Solution
Exploring Operation: 29+53=82, Resulting Numbers: [82]
82,37 unequal: No Solution
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,37 unequal: No Solution
No 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: 37:[69, 45], Operations: ['4+12=16', '29+16=45']
Exploring Operation: 69-45=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 69+45=114, Resulting Numbers: [114]
114,37 unequal: No Solution
Exploring Operation: 69*45=3105, Resulting Numbers: [3105]
3105,37 unequal: No Solution
No 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: 37:[29, 85], Operations: ['4+12=16', '69+16=85']
Exploring Operation: 29*85=2465, Resulting Numbers: [2465]
2465,37 unequal: No Solution
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 29+85=114, Resulting Numbers: [114]
114,37 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: 37:[69, 12, 33], Operations: ['4+29=33']
Exploring Operation: 12+33=45, Resulting Numbers: [69, 45]
Generated Node #0,3,0: 37:[69, 45] Operation: 12+33=45
Exploring Operation: 69+12=81, Resulting Numbers: [33, 81]
Generated Node #0,3,1: 37:[33, 81] Operation: 69+12=81
Exploring Operation: 69-33=36, Resulting Numbers: [12, 36]
Generated Node #0,3,2: 37:[12, 36] Operation: 69-33=36
Exploring Operation: 69-12=57, Resulting Numbers: [33, 57]
Generated Node #0,3,3: 37:[33, 57] Operation: 69-12=57
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 37:[33, 57], Operations: ['4+29=33', '69-12=57']
Exploring Operation: 33+57=90, Resulting Numbers: [90]
90,37 unequal: No Solution
Exploring Operation: 57-33=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 33*57=1881, Resulting Numbers: [1881]
1881,37 unequal: No Solution
No 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: 37:[12, 36], Operations: ['4+29=33', '69-33=36']
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,37 unequal: No Solution
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,37 unequal: No Solution
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,37 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,37 unequal: No Solution
No 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: 37:[69, 45], Operations: ['4+29=33', '12+33=45']
Exploring Operation: 69-45=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 69+45=114, Resulting Numbers: [114]
114,37 unequal: No Solution
Exploring Operation: 69*45=3105, Resulting Numbers: [3105]
3105,37 unequal: No Solution
No 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: 37:[33, 81], Operations: ['4+29=33', '69+12=81']
Exploring Operation: 33*81=2673, Resulting Numbers: [2673]
2673,37 unequal: No Solution
Exploring Operation: 33+81=114, Resulting Numbers: [114]
114,37 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,37 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: 37:[29, 53], Operations: ['69-4=65', '65-12=53']
Exploring Operation: 29+53=82, Resulting Numbers: [82]
82,37 unequal: No Solution
Exploring Operation: 29*53=1537, Resulting Numbers: [1537]
1537,37 unequal: No Solution
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[12, 36], Operations: ['69-4=65', '65-29=36']
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,37 unequal: No Solution
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,37 unequal: No Solution
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,37 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Moving to Node #0,1,3
Current State: 37:[65, 41], Operations: ['69-4=65', '12+29=41']
Exploring Operation: 65+41=106, Resulting Numbers: [106]
106,37 unequal: No Solution
Exploring Operation: 65-41=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 65*41=2665, Resulting Numbers: [2665]
2665,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[65, 17], Operations: ['69-4=65', '29-12=17']
Exploring Operation: 65+17=82, Resulting Numbers: [82]
82,37 unequal: No Solution
Exploring Operation: 65-17=48, Resulting Numbers: [48]
48,37 unequal: No Solution
Exploring Operation: 65*17=1105, Resulting Numbers: [1105]
1105,37 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
88,
9,
66,
92
] | 61 | [
"88+9=97",
"66+92=158",
"158-97=61"
] | Current State: 61:[88, 9, 66, 92], Operations: []
Exploring Operation: 88+9=97, Resulting Numbers: [66, 92, 97]
Generated Node #2: [66, 92, 97] from Operation: 88+9=97
Current State: 61:[66, 92, 97], Operations: ['88+9=97']
Exploring Operation: 66+92=158, Resulting Numbers: [97, 158]
Generated Node #3: [97, 158] from Operation: 66+92=158
Current State: 61:[97, 158], Operations: ['88+9=97', '66+92=158']
Exploring Operation: 158-97=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[88, 9, 66, 92], Operations: []
Exploring Operation: 92-9=83, Resulting Numbers: [88, 66, 83]
Generated Node #0,0: 61:[88, 66, 83] Operation: 92-9=83
Exploring Operation: 88-9=79, Resulting Numbers: [66, 92, 79]
Generated Node #0,1: 61:[66, 92, 79] Operation: 88-9=79
Exploring Operation: 66-9=57, Resulting Numbers: [88, 92, 57]
Generated Node #0,2: 61:[88, 92, 57] Operation: 66-9=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[88, 66, 83], Operations: ['92-9=83']
Exploring Operation: 83-66=17, Resulting Numbers: [88, 17]
Generated Node #0,0,0: 61:[88, 17] Operation: 83-66=17
Exploring Operation: 88-83=5, Resulting Numbers: [66, 5]
Generated Node #0,0,1: 61:[66, 5] Operation: 88-83=5
Exploring Operation: 88-66=22, Resulting Numbers: [83, 22]
Generated Node #0,0,2: 61:[83, 22] Operation: 88-66=22
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 61:[66, 5], Operations: ['92-9=83', '88-83=5']
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,61 unequal: No Solution
Exploring Operation: 66*5=330, Resulting Numbers: [330]
330,61 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[88, 9, 66, 92], Operations: []
Exploring Operation: 92-9=83, Resulting Numbers: [88, 66, 83]
Generated Node #0,0: 61:[88, 66, 83] Operation: 92-9=83
Moving to Node #0,0
Current State: 61:[88, 66, 83], Operations: ['92-9=83']
Exploring Operation: 88-83=5, Resulting Numbers: [66, 5]
Generated Node #0,0,1: 61:[66, 5] Operation: 88-83=5
Moving to Node #0,0,1
Current State: 61:[66, 5], Operations: ['92-9=83', '88-83=5']
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
4,
32,
15,
47
] | 21 | [
"32-15=17",
"4*17=68",
"68-47=21"
] | Current State: 21:[4, 32, 15, 47], Operations: []
Exploring Operation: 32-15=17, Resulting Numbers: [4, 47, 17]
Generated Node #2: [4, 47, 17] from Operation: 32-15=17
Current State: 21:[4, 47, 17], Operations: ['32-15=17']
Exploring Operation: 4*17=68, Resulting Numbers: [47, 68]
Generated Node #3: [47, 68] from Operation: 4*17=68
Current State: 21:[47, 68], Operations: ['32-15=17', '4*17=68']
Exploring Operation: 68-47=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[4, 32, 15, 47], Operations: []
Exploring Operation: 47-32=15, Resulting Numbers: [4, 15, 15]
Generated Node #0,0: 21:[4, 15, 15] Operation: 47-32=15
Exploring Operation: 47-15=32, Resulting Numbers: [4, 32, 32]
Generated Node #0,1: 21:[4, 32, 32] Operation: 47-15=32
Exploring Operation: 32/4=8, Resulting Numbers: [15, 47, 8]
Generated Node #0,2: 21:[15, 47, 8] Operation: 32/4=8
Exploring Operation: 32-15=17, Resulting Numbers: [4, 47, 17]
Generated Node #0,3: 21:[4, 47, 17] Operation: 32-15=17
Moving to Node #0,0
Current State: 21:[4, 15, 15], Operations: ['47-32=15']
Exploring Operation: 15/15=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 21:[4, 1] Operation: 15/15=1
Exploring Operation: 4+15=19, Resulting Numbers: [15, 19]
Generated Node #0,0,1: 21:[15, 19] Operation: 4+15=19
Exploring Operation: 4+15=19, Resulting Numbers: [15, 19]
Generated Node #0,0,2: 21:[15, 19] Operation: 4+15=19
Exploring Operation: 15-15=0, Resulting Numbers: [4, 0]
Generated Node #0,0,3: 21:[4, 0] Operation: 15-15=0
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[4, 1], Operations: ['47-32=15', '15/15=1']
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,21 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,21 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:[4, 0], Operations: ['47-32=15', '15-15=0']
Exploring Operation: 4*0=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,21 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:[15, 19], Operations: ['47-32=15', '4+15=19']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 15*19=285, Resulting Numbers: [285]
285,21 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 #0,0,2
Current State: 21:[15, 19], Operations: ['47-32=15', '4+15=19']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 15*19=285, Resulting Numbers: [285]
285,21 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: 21:[4, 32, 32], Operations: ['47-15=32']
Exploring Operation: 32/32=1, Resulting Numbers: [4, 1]
Generated Node #0,1,0: 21:[4, 1] Operation: 32/32=1
Exploring Operation: 32-32=0, Resulting Numbers: [4, 0]
Generated Node #0,1,1: 21:[4, 0] Operation: 32-32=0
Exploring Operation: 32/4=8, Resulting Numbers: [32, 8]
Generated Node #0,1,2: 21:[32, 8] Operation: 32/4=8
Exploring Operation: 32/4=8, Resulting Numbers: [32, 8]
Generated Node #0,1,3: 21:[32, 8] Operation: 32/4=8
Moving to Node #0,3
Current State: 21:[4, 47, 17], Operations: ['32-15=17']
Exploring Operation: 47-4=43, Resulting Numbers: [17, 43]
Generated Node #0,3,0: 21:[17, 43] Operation: 47-4=43
Exploring Operation: 47-17=30, Resulting Numbers: [4, 30]
Generated Node #0,3,1: 21:[4, 30] Operation: 47-17=30
Exploring Operation: 17-4=13, Resulting Numbers: [47, 13]
Generated Node #0,3,2: 21:[47, 13] Operation: 17-4=13
Exploring Operation: 4+17=21, Resulting Numbers: [47, 21]
Generated Node #0,3,3: 21:[47, 21] Operation: 4+17=21
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 21:[4, 30], Operations: ['32-15=17', '47-17=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,21 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:[17, 43], Operations: ['32-15=17', '47-4=43']
Exploring Operation: 17+43=60, Resulting Numbers: [60]
60,21 unequal: No Solution
Exploring Operation: 17*43=731, Resulting Numbers: [731]
731,21 unequal: No Solution
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,21 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:[47, 21], Operations: ['32-15=17', '4+17=21']
Exploring Operation: 47*21=987, Resulting Numbers: [987]
987,21 unequal: No Solution
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,21 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,21 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:[47, 13], Operations: ['32-15=17', '17-4=13']
Exploring Operation: 47*13=611, Resulting Numbers: [611]
611,21 unequal: No Solution
Exploring Operation: 47-13=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 47+13=60, Resulting Numbers: [60]
60,21 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:[15, 47, 8], Operations: ['32/4=8']
Exploring Operation: 15+8=23, Resulting Numbers: [47, 23]
Generated Node #0,2,0: 21:[47, 23] Operation: 15+8=23
Exploring Operation: 47-8=39, Resulting Numbers: [15, 39]
Generated Node #0,2,1: 21:[15, 39] Operation: 47-8=39
Exploring Operation: 15-8=7, Resulting Numbers: [47, 7]
Generated Node #0,2,2: 21:[47, 7] Operation: 15-8=7
Exploring Operation: 47-15=32, Resulting Numbers: [8, 32]
Generated Node #0,2,3: 21:[8, 32] Operation: 47-15=32
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 21:[8, 32], Operations: ['32/4=8', '47-15=32']
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 8*32=256, Resulting Numbers: [256]
256,21 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 #0,2,1
Current State: 21:[15, 39], Operations: ['32/4=8', '47-8=39']
Exploring Operation: 15+39=54, Resulting Numbers: [54]
54,21 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 15*39=585, Resulting Numbers: [585]
585,21 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 #0,2,2
Current State: 21:[47, 7], Operations: ['32/4=8', '15-8=7']
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,21 unequal: No Solution
Exploring Operation: 47*7=329, Resulting Numbers: [329]
329,21 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 #0,2,0
Current State: 21:[47, 23], Operations: ['32/4=8', '15+8=23']
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 47*23=1081, Resulting Numbers: [1081]
1081,21 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: 21:[4, 1], Operations: ['47-15=32', '32/32=1']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,21 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[4, 0], Operations: ['47-15=32', '32-32=0']
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 4*0=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Moving to Node #0,1,3
Current State: 21:[32, 8], Operations: ['47-15=32', '32/4=8']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 32*8=256, Resulting Numbers: [256]
256,21 unequal: No Solution
Exploring Operation: 32+8=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[32, 8], Operations: ['47-15=32', '32/4=8']
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 32*8=256, Resulting Numbers: [256]
256,21 unequal: No Solution
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 32+8=40, Resulting Numbers: [40]
40,21 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
57,
68,
55,
27
] | 43 | [
"57+68=125",
"55+27=82",
"125-82=43"
] | Current State: 43:[57, 68, 55, 27], Operations: []
Exploring Operation: 57+68=125, Resulting Numbers: [55, 27, 125]
Generated Node #2: [55, 27, 125] from Operation: 57+68=125
Current State: 43:[55, 27, 125], Operations: ['57+68=125']
Exploring Operation: 55+27=82, Resulting Numbers: [125, 82]
Generated Node #3: [125, 82] from Operation: 55+27=82
Current State: 43:[125, 82], Operations: ['57+68=125', '55+27=82']
Exploring Operation: 125-82=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[57, 68, 55, 27], Operations: []
Exploring Operation: 57-27=30, Resulting Numbers: [68, 55, 30]
Generated Node #0,0: 43:[68, 55, 30] Operation: 57-27=30
Exploring Operation: 68-55=13, Resulting Numbers: [57, 27, 13]
Generated Node #0,1: 43:[57, 27, 13] Operation: 68-55=13
Exploring Operation: 68-57=11, Resulting Numbers: [55, 27, 11]
Generated Node #0,2: 43:[55, 27, 11] Operation: 68-57=11
Exploring Operation: 68-27=41, Resulting Numbers: [57, 55, 41]
Generated Node #0,3: 43:[57, 55, 41] Operation: 68-27=41
Exploring Operation: 55-27=28, Resulting Numbers: [57, 68, 28]
Generated Node #0,4: 43:[57, 68, 28] Operation: 55-27=28
Moving to Node #0,3
Current State: 43:[57, 55, 41], Operations: ['68-27=41']
Exploring Operation: 57+41=98, Resulting Numbers: [55, 98]
Generated Node #0,3,0: 43:[55, 98] Operation: 57+41=98
Exploring Operation: 55-41=14, Resulting Numbers: [57, 14]
Generated Node #0,3,1: 43:[57, 14] Operation: 55-41=14
Exploring Operation: 55+41=96, Resulting Numbers: [57, 96]
Generated Node #0,3,2: 43:[57, 96] Operation: 55+41=96
Exploring Operation: 57-55=2, Resulting Numbers: [41, 2]
Generated Node #0,3,3: 43:[41, 2] Operation: 57-55=2
Exploring Operation: 57-41=16, Resulting Numbers: [55, 16]
Generated Node #0,3,4: 43:[55, 16] Operation: 57-41=16
Moving to Node #0,0
Current State: 43:[68, 55, 30], Operations: ['57-27=30']
Exploring Operation: 55+30=85, Resulting Numbers: [68, 85]
Generated Node #0,0,0: 43:[68, 85] Operation: 55+30=85
Exploring Operation: 68-55=13, Resulting Numbers: [30, 13]
Generated Node #0,0,1: 43:[30, 13] Operation: 68-55=13
Exploring Operation: 68-30=38, Resulting Numbers: [55, 38]
Generated Node #0,0,2: 43:[55, 38] Operation: 68-30=38
Exploring Operation: 55-30=25, Resulting Numbers: [68, 25]
Generated Node #0,0,3: 43:[68, 25] Operation: 55-30=25
Exploring Operation: 68+30=98, Resulting Numbers: [55, 98]
Generated Node #0,0,4: 43:[55, 98] Operation: 68+30=98
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 43:[55, 38], Operations: ['57-27=30', '68-30=38']
Exploring Operation: 55+38=93, Resulting Numbers: [93]
93,43 unequal: No Solution
Exploring Operation: 55*38=2090, Resulting Numbers: [2090]
2090,43 unequal: No Solution
Exploring Operation: 55-38=17, Resulting Numbers: [17]
17,43 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 #0,0,1
Current State: 43:[30, 13], Operations: ['57-27=30', '68-55=13']
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[57, 68, 55, 27], Operations: []
Exploring Operation: 57-27=30, Resulting Numbers: [68, 55, 30]
Generated Node #0,0: 43:[68, 55, 30] Operation: 57-27=30
Moving to Node #0,0
Current State: 43:[68, 55, 30], Operations: ['57-27=30']
Exploring Operation: 68-55=13, Resulting Numbers: [30, 13]
Generated Node #0,0,1: 43:[30, 13] Operation: 68-55=13
Moving to Node #0,0,1
Current State: 43:[30, 13], Operations: ['57-27=30', '68-55=13']
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
44,
51,
36,
84
] | 41 | [
"51-44=7",
"84-36=48",
"48-7=41"
] | Current State: 41:[44, 51, 36, 84], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [36, 84, 7]
Generated Node #2: [36, 84, 7] from Operation: 51-44=7
Current State: 41:[36, 84, 7], Operations: ['51-44=7']
Exploring Operation: 84-36=48, Resulting Numbers: [7, 48]
Generated Node #3: [7, 48] from Operation: 84-36=48
Current State: 41:[7, 48], Operations: ['51-44=7', '84-36=48']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[44, 51, 36, 84], Operations: []
Exploring Operation: 51-36=15, Resulting Numbers: [44, 84, 15]
Generated Node #0,0: 41:[44, 84, 15] Operation: 51-36=15
Exploring Operation: 51-44=7, Resulting Numbers: [36, 84, 7]
Generated Node #0,1: 41:[36, 84, 7] Operation: 51-44=7
Exploring Operation: 84-51=33, Resulting Numbers: [44, 36, 33]
Generated Node #0,2: 41:[44, 36, 33] Operation: 84-51=33
Exploring Operation: 84-44=40, Resulting Numbers: [51, 36, 40]
Generated Node #0,3: 41:[51, 36, 40] Operation: 84-44=40
Exploring Operation: 84-36=48, Resulting Numbers: [44, 51, 48]
Generated Node #0,4: 41:[44, 51, 48] Operation: 84-36=48
Moving to Node #0,2
Current State: 41:[44, 36, 33], Operations: ['84-51=33']
Exploring Operation: 44+33=77, Resulting Numbers: [36, 77]
Generated Node #0,2,0: 41:[36, 77] Operation: 44+33=77
Exploring Operation: 44-36=8, Resulting Numbers: [33, 8]
Generated Node #0,2,1: 41:[33, 8] Operation: 44-36=8
Exploring Operation: 36+33=69, Resulting Numbers: [44, 69]
Generated Node #0,2,2: 41:[44, 69] Operation: 36+33=69
Exploring Operation: 44-33=11, Resulting Numbers: [36, 11]
Generated Node #0,2,3: 41:[36, 11] Operation: 44-33=11
Exploring Operation: 36-33=3, Resulting Numbers: [44, 3]
Generated Node #0,2,4: 41:[44, 3] Operation: 36-33=3
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 41:[44, 69], Operations: ['84-51=33', '36+33=69']
Exploring Operation: 44*69=3036, Resulting Numbers: [3036]
3036,41 unequal: No Solution
Exploring Operation: 69-44=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 44+69=113, Resulting Numbers: [113]
113,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 41:[36, 11], Operations: ['84-51=33', '44-33=11']
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,41 unequal: No Solution
Exploring Operation: 36*11=396, Resulting Numbers: [396]
396,41 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 41:[36, 77], Operations: ['84-51=33', '44+33=77']
Exploring Operation: 36+77=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[44, 51, 36, 84], Operations: []
Exploring Operation: 84-51=33, Resulting Numbers: [44, 36, 33]
Generated Node #0,2: 41:[44, 36, 33] Operation: 84-51=33
Moving to Node #0,2
Current State: 41:[44, 36, 33], Operations: ['84-51=33']
Exploring Operation: 44+33=77, Resulting Numbers: [36, 77]
Generated Node #0,2,0: 41:[36, 77] Operation: 44+33=77
Moving to Node #0,2,0
Current State: 41:[36, 77], Operations: ['84-51=33', '44+33=77']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
92,
12,
86,
90
] | 89 | [
"90-86=4",
"12/4=3",
"92-3=89"
] | Current State: 89:[92, 12, 86, 90], Operations: []
Exploring Operation: 90-86=4, Resulting Numbers: [92, 12, 4]
Generated Node #2: [92, 12, 4] from Operation: 90-86=4
Current State: 89:[92, 12, 4], Operations: ['90-86=4']
Exploring Operation: 12/4=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 12/4=3
Current State: 89:[92, 3], Operations: ['90-86=4', '12/4=3']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[92, 12, 86, 90], Operations: []
Exploring Operation: 92-12=80, Resulting Numbers: [86, 90, 80]
Generated Node #0,0: 89:[86, 90, 80] Operation: 92-12=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[86, 90, 80], Operations: ['92-12=80']
Exploring Operation: 86+80=166, Resulting Numbers: [90, 166]
Generated Node #0,0,0: 89:[90, 166] Operation: 86+80=166
Moving to Node #0,0,0
Current State: 89:[90, 166], Operations: ['92-12=80', '86+80=166']
Exploring Operation: 166-90=76, Resulting Numbers: [76]
76,89 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 |
[
38,
56,
59,
70
] | 83 | [
"38+56=94",
"70-59=11",
"94-11=83"
] | Current State: 83:[38, 56, 59, 70], Operations: []
Exploring Operation: 38+56=94, Resulting Numbers: [59, 70, 94]
Generated Node #2: [59, 70, 94] from Operation: 38+56=94
Current State: 83:[59, 70, 94], Operations: ['38+56=94']
Exploring Operation: 70-59=11, Resulting Numbers: [94, 11]
Generated Node #3: [94, 11] from Operation: 70-59=11
Current State: 83:[94, 11], Operations: ['38+56=94', '70-59=11']
Exploring Operation: 94-11=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[38, 56, 59, 70], Operations: []
Exploring Operation: 38+59=97, Resulting Numbers: [56, 70, 97]
Generated Node #0,0: 83:[56, 70, 97] Operation: 38+59=97
Exploring Operation: 38+56=94, Resulting Numbers: [59, 70, 94]
Generated Node #0,1: 83:[59, 70, 94] Operation: 38+56=94
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[59, 70, 94], Operations: ['38+56=94']
Exploring Operation: 59+70=129, Resulting Numbers: [94, 129]
Generated Node #0,1,0: 83:[94, 129] Operation: 59+70=129
Exploring Operation: 94-59=35, Resulting Numbers: [70, 35]
Generated Node #0,1,1: 83:[70, 35] Operation: 94-59=35
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[94, 129], Operations: ['38+56=94', '59+70=129']
Exploring Operation: 94+129=223, Resulting Numbers: [223]
223,83 unequal: No Solution
Exploring Operation: 129-94=35, Resulting Numbers: [35]
35,83 unequal: No Solution
No 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: 83:[70, 35], Operations: ['38+56=94', '94-59=35']
Exploring Operation: 70-35=35, Resulting Numbers: [35]
35,83 unequal: No Solution
Exploring Operation: 70+35=105, Resulting Numbers: [105]
105,83 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[56, 70, 97], Operations: ['38+59=97']
Exploring Operation: 97-56=41, Resulting Numbers: [70, 41]
Generated Node #0,0,0: 83:[70, 41] Operation: 97-56=41
Exploring Operation: 56+70=126, Resulting Numbers: [97, 126]
Generated Node #0,0,1: 83:[97, 126] Operation: 56+70=126
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[70, 41], Operations: ['38+59=97', '97-56=41']
Exploring Operation: 70+41=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Exploring Operation: 70-41=29, Resulting Numbers: [29]
29,83 unequal: No Solution
No 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: 83:[97, 126], Operations: ['38+59=97', '56+70=126']
Exploring Operation: 97+126=223, Resulting Numbers: [223]
223,83 unequal: No Solution
Exploring Operation: 126-97=29, Resulting Numbers: [29]
29,83 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_2 | sum_heuristic |
[
38,
79,
6,
52
] | 87 | [
"79-38=41",
"52-6=46",
"41+46=87"
] | Current State: 87:[38, 79, 6, 52], Operations: []
Exploring Operation: 79-38=41, Resulting Numbers: [6, 52, 41]
Generated Node #2: [6, 52, 41] from Operation: 79-38=41
Current State: 87:[6, 52, 41], Operations: ['79-38=41']
Exploring Operation: 52-6=46, Resulting Numbers: [41, 46]
Generated Node #3: [41, 46] from Operation: 52-6=46
Current State: 87:[41, 46], Operations: ['79-38=41', '52-6=46']
Exploring Operation: 41+46=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[38, 79, 6, 52], Operations: []
Exploring Operation: 38+52=90, Resulting Numbers: [79, 6, 90]
Generated Node #0,0: 87:[79, 6, 90] Operation: 38+52=90
Moving to Node #0,0
Current State: 87:[79, 6, 90], Operations: ['38+52=90']
Exploring Operation: 79+6=85, Resulting Numbers: [90, 85]
Generated Node #0,0,0: 87:[90, 85] Operation: 79+6=85
Moving to Node #0,0,0
Current State: 87:[90, 85], Operations: ['38+52=90', '79+6=85']
Exploring Operation: 90-85=5, Resulting Numbers: [5]
5,87 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
80,
37,
27,
71
] | 76 | [
"37+71=108",
"108/27=4",
"80-4=76"
] | Current State: 76:[80, 37, 27, 71], Operations: []
Exploring Operation: 37+71=108, Resulting Numbers: [80, 27, 108]
Generated Node #2: [80, 27, 108] from Operation: 37+71=108
Current State: 76:[80, 27, 108], Operations: ['37+71=108']
Exploring Operation: 108/27=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 108/27=4
Current State: 76:[80, 4], Operations: ['37+71=108', '108/27=4']
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[80, 37, 27, 71], Operations: []
Exploring Operation: 71-27=44, Resulting Numbers: [80, 37, 44]
Generated Node #0,0: 76:[80, 37, 44] Operation: 71-27=44
Exploring Operation: 71-37=34, Resulting Numbers: [80, 27, 34]
Generated Node #0,1: 76:[80, 27, 34] Operation: 71-37=34
Exploring Operation: 80-71=9, Resulting Numbers: [37, 27, 9]
Generated Node #0,2: 76:[37, 27, 9] Operation: 80-71=9
Exploring Operation: 37-27=10, Resulting Numbers: [80, 71, 10]
Generated Node #0,3: 76:[80, 71, 10] Operation: 37-27=10
Moving to Node #0,0
Current State: 76:[80, 37, 44], Operations: ['71-27=44']
Exploring Operation: 37+44=81, Resulting Numbers: [80, 81]
Generated Node #0,0,0: 76:[80, 81] Operation: 37+44=81
Exploring Operation: 44-37=7, Resulting Numbers: [80, 7]
Generated Node #0,0,1: 76:[80, 7] Operation: 44-37=7
Exploring Operation: 80-44=36, Resulting Numbers: [37, 36]
Generated Node #0,0,2: 76:[37, 36] Operation: 80-44=36
Exploring Operation: 80-37=43, Resulting Numbers: [44, 43]
Generated Node #0,0,3: 76:[44, 43] Operation: 80-37=43
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[37, 36], Operations: ['71-27=44', '80-44=36']
Exploring Operation: 37*36=1332, Resulting Numbers: [1332]
1332,76 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 37+36=73, Resulting Numbers: [73]
73,76 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 #0,0,1
Current State: 76:[80, 7], Operations: ['71-27=44', '44-37=7']
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,76 unequal: No Solution
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Exploring Operation: 80*7=560, Resulting Numbers: [560]
560,76 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 #0,0,0
Current State: 76:[80, 81], Operations: ['71-27=44', '37+44=81']
Exploring Operation: 81-80=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 80+81=161, Resulting Numbers: [161]
161,76 unequal: No Solution
Exploring Operation: 80*81=6480, Resulting Numbers: [6480]
6480,76 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:[44, 43], Operations: ['71-27=44', '80-37=43']
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 44*43=1892, Resulting Numbers: [1892]
1892,76 unequal: No Solution
Exploring Operation: 44+43=87, Resulting Numbers: [87]
87,76 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: 76:[37, 27, 9], Operations: ['80-71=9']
Exploring Operation: 27/9=3, Resulting Numbers: [37, 3]
Generated Node #0,2,0: 76:[37, 3] Operation: 27/9=3
Exploring Operation: 27+9=36, Resulting Numbers: [37, 36]
Generated Node #0,2,1: 76:[37, 36] Operation: 27+9=36
Exploring Operation: 27-9=18, Resulting Numbers: [37, 18]
Generated Node #0,2,2: 76:[37, 18] Operation: 27-9=18
Exploring Operation: 37-27=10, Resulting Numbers: [9, 10]
Generated Node #0,2,3: 76:[9, 10] Operation: 37-27=10
Moving to Node #0,3
Current State: 76:[80, 71, 10], Operations: ['37-27=10']
Exploring Operation: 71+10=81, Resulting Numbers: [80, 81]
Generated Node #0,3,0: 76:[80, 81] Operation: 71+10=81
Exploring Operation: 80-10=70, Resulting Numbers: [71, 70]
Generated Node #0,3,1: 76:[71, 70] Operation: 80-10=70
Exploring Operation: 80/10=8, Resulting Numbers: [71, 8]
Generated Node #0,3,2: 76:[71, 8] Operation: 80/10=8
Exploring Operation: 80-71=9, Resulting Numbers: [10, 9]
Generated Node #0,3,3: 76:[10, 9] Operation: 80-71=9
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 76:[80, 81], Operations: ['37-27=10', '71+10=81']
Exploring Operation: 80+81=161, Resulting Numbers: [161]
161,76 unequal: No Solution
Exploring Operation: 80*81=6480, Resulting Numbers: [6480]
6480,76 unequal: No Solution
Exploring Operation: 81-80=1, Resulting Numbers: [1]
1,76 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 #0,3,2
Current State: 76:[71, 8], Operations: ['37-27=10', '80/10=8']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 71*8=568, Resulting Numbers: [568]
568,76 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 #0,3,1
Current State: 76:[71, 70], Operations: ['37-27=10', '80-10=70']
Exploring Operation: 71-70=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 71*70=4970, Resulting Numbers: [4970]
4970,76 unequal: No Solution
Exploring Operation: 71+70=141, Resulting Numbers: [141]
141,76 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 #0,3,3
Current State: 76:[10, 9], Operations: ['37-27=10', '80-71=9']
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,76 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: 76:[80, 27, 34], Operations: ['71-37=34']
Exploring Operation: 34-27=7, Resulting Numbers: [80, 7]
Generated Node #0,1,0: 76:[80, 7] Operation: 34-27=7
Exploring Operation: 27+34=61, Resulting Numbers: [80, 61]
Generated Node #0,1,1: 76:[80, 61] Operation: 27+34=61
Exploring Operation: 80-34=46, Resulting Numbers: [27, 46]
Generated Node #0,1,2: 76:[27, 46] Operation: 80-34=46
Exploring Operation: 80-27=53, Resulting Numbers: [34, 53]
Generated Node #0,1,3: 76:[34, 53] Operation: 80-27=53
Moving to Node #0,2,0
Current State: 76:[37, 3], Operations: ['80-71=9', '27/9=3']
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,76 unequal: No Solution
Exploring Operation: 37*3=111, Resulting Numbers: [111]
111,76 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[37, 18], Operations: ['80-71=9', '27-9=18']
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,76 unequal: No Solution
Exploring Operation: 37*18=666, Resulting Numbers: [666]
666,76 unequal: No Solution
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[37, 36], Operations: ['80-71=9', '27+9=36']
Exploring Operation: 37*36=1332, Resulting Numbers: [1332]
1332,76 unequal: No Solution
Exploring Operation: 37+36=73, Resulting Numbers: [73]
73,76 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[80, 7], Operations: ['71-37=34', '34-27=7']
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,76 unequal: No Solution
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Exploring Operation: 80*7=560, Resulting Numbers: [560]
560,76 unequal: No Solution
Moving to Node #0,2,3
Current State: 76:[9, 10], Operations: ['80-71=9', '37-27=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[27, 46], Operations: ['71-37=34', '80-34=46']
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 27+46=73, Resulting Numbers: [73]
73,76 unequal: No Solution
Exploring Operation: 27*46=1242, Resulting Numbers: [1242]
1242,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[80, 61], Operations: ['71-37=34', '27+34=61']
Exploring Operation: 80-61=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 80+61=141, Resulting Numbers: [141]
141,76 unequal: No Solution
Exploring Operation: 80*61=4880, Resulting Numbers: [4880]
4880,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[34, 53], Operations: ['71-37=34', '80-27=53']
Exploring Operation: 34*53=1802, Resulting Numbers: [1802]
1802,76 unequal: No Solution
Exploring Operation: 34+53=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Exploring Operation: 53-34=19, Resulting Numbers: [19]
19,76 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
57,
3,
97,
6
] | 78 | [
"6-3=3",
"57/3=19",
"97-19=78"
] | Current State: 78:[57, 3, 97, 6], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [57, 97, 3]
Generated Node #2: [57, 97, 3] from Operation: 6-3=3
Current State: 78:[57, 97, 3], Operations: ['6-3=3']
Exploring Operation: 57/3=19, Resulting Numbers: [97, 19]
Generated Node #3: [97, 19] from Operation: 57/3=19
Current State: 78:[97, 19], Operations: ['6-3=3', '57/3=19']
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[57, 3, 97, 6], Operations: []
Exploring Operation: 57/3=19, Resulting Numbers: [97, 6, 19]
Generated Node #0,0: 78:[97, 6, 19] Operation: 57/3=19
Exploring Operation: 57-6=51, Resulting Numbers: [3, 97, 51]
Generated Node #0,1: 78:[3, 97, 51] Operation: 57-6=51
Exploring Operation: 97-6=91, Resulting Numbers: [57, 3, 91]
Generated Node #0,2: 78:[57, 3, 91] Operation: 97-6=91
Exploring Operation: 97-57=40, Resulting Numbers: [3, 6, 40]
Generated Node #0,3: 78:[3, 6, 40] Operation: 97-57=40
Start Sub Search at level 1: Moving to Node #0,3
Current State: 78:[3, 6, 40], Operations: ['97-57=40']
Exploring Operation: 6-3=3, Resulting Numbers: [40, 3]
Generated Node #0,3,0: 78:[40, 3] Operation: 6-3=3
Exploring Operation: 3+6=9, Resulting Numbers: [40, 9]
Generated Node #0,3,1: 78:[40, 9] Operation: 3+6=9
Exploring Operation: 40-3=37, Resulting Numbers: [6, 37]
Generated Node #0,3,2: 78:[6, 37] Operation: 40-3=37
Exploring Operation: 6/3=2, Resulting Numbers: [40, 2]
Generated Node #0,3,3: 78:[40, 2] Operation: 6/3=2
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 78:[40, 3], Operations: ['97-57=40', '6-3=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,78 unequal: No Solution
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 78:[40, 2], Operations: ['97-57=40', '6/3=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,78 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,78 unequal: No Solution
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,78 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 78:[6, 37], Operations: ['97-57=40', '40-3=37']
Exploring Operation: 6+37=43, Resulting Numbers: [43]
43,78 unequal: No Solution
Exploring Operation: 6*37=222, Resulting Numbers: [222]
222,78 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 78:[40, 9], Operations: ['97-57=40', '3+6=9']
Exploring Operation: 40+9=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 40*9=360, Resulting Numbers: [360]
360,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[97, 6, 19], Operations: ['57/3=19']
Exploring Operation: 6+19=25, Resulting Numbers: [97, 25]
Generated Node #0,0,0: 78:[97, 25] Operation: 6+19=25
Exploring Operation: 19-6=13, Resulting Numbers: [97, 13]
Generated Node #0,0,1: 78:[97, 13] Operation: 19-6=13
Exploring Operation: 97-19=78, Resulting Numbers: [6, 78]
Generated Node #0,0,2: 78:[6, 78] Operation: 97-19=78
Exploring Operation: 97-6=91, Resulting Numbers: [19, 91]
Generated Node #0,0,3: 78:[19, 91] Operation: 97-6=91
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 78:[6, 78], Operations: ['57/3=19', '97-19=78']
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,78 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 6*78=468, Resulting Numbers: [468]
468,78 unequal: No Solution
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 78:[97, 13], Operations: ['57/3=19', '19-6=13']
Exploring Operation: 97+13=110, Resulting Numbers: [110]
110,78 unequal: No Solution
Exploring Operation: 97-13=84, Resulting Numbers: [84]
84,78 unequal: No Solution
Exploring Operation: 97*13=1261, Resulting Numbers: [1261]
1261,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 78:[19, 91], Operations: ['57/3=19', '97-6=91']
Exploring Operation: 19*91=1729, Resulting Numbers: [1729]
1729,78 unequal: No Solution
Exploring Operation: 19+91=110, Resulting Numbers: [110]
110,78 unequal: No Solution
Exploring Operation: 91-19=72, Resulting Numbers: [72]
72,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[97, 25], Operations: ['57/3=19', '6+19=25']
Exploring Operation: 97-25=72, Resulting Numbers: [72]
72,78 unequal: No Solution
Exploring Operation: 97+25=122, Resulting Numbers: [122]
122,78 unequal: No Solution
Exploring Operation: 97*25=2425, Resulting Numbers: [2425]
2425,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[3, 97, 51], Operations: ['57-6=51']
Exploring Operation: 51/3=17, Resulting Numbers: [97, 17]
Generated Node #0,1,0: 78:[97, 17] Operation: 51/3=17
Exploring Operation: 97-3=94, Resulting Numbers: [51, 94]
Generated Node #0,1,1: 78:[51, 94] Operation: 97-3=94
Exploring Operation: 51-3=48, Resulting Numbers: [97, 48]
Generated Node #0,1,2: 78:[97, 48] Operation: 51-3=48
Exploring Operation: 97-51=46, Resulting Numbers: [3, 46]
Generated Node #0,1,3: 78:[3, 46] Operation: 97-51=46
Moving to Node #0,1,3
Current State: 78:[3, 46], Operations: ['57-6=51', '97-51=46']
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,78 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[97, 17], Operations: ['57-6=51', '51/3=17']
Exploring Operation: 97+17=114, Resulting Numbers: [114]
114,78 unequal: No Solution
Exploring Operation: 97*17=1649, Resulting Numbers: [1649]
1649,78 unequal: No Solution
Exploring Operation: 97-17=80, Resulting Numbers: [80]
80,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[97, 48], Operations: ['57-6=51', '51-3=48']
Exploring Operation: 97-48=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Exploring Operation: 97+48=145, Resulting Numbers: [145]
145,78 unequal: No Solution
Exploring Operation: 97*48=4656, Resulting Numbers: [4656]
4656,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[51, 94], Operations: ['57-6=51', '97-3=94']
Exploring Operation: 94-51=43, Resulting Numbers: [43]
43,78 unequal: No Solution
Exploring Operation: 51*94=4794, Resulting Numbers: [4794]
4794,78 unequal: No Solution
Exploring Operation: 51+94=145, Resulting Numbers: [145]
145,78 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
Current State: 78:[57, 3, 91], Operations: ['97-6=91']
Exploring Operation: 91-57=34, Resulting Numbers: [3, 34]
Generated Node #0,2,0: 78:[3, 34] Operation: 91-57=34
Exploring Operation: 57/3=19, Resulting Numbers: [91, 19]
Generated Node #0,2,1: 78:[91, 19] Operation: 57/3=19
Exploring Operation: 57-3=54, Resulting Numbers: [91, 54]
Generated Node #0,2,2: 78:[91, 54] Operation: 57-3=54
Exploring Operation: 91-3=88, Resulting Numbers: [57, 88]
Generated Node #0,2,3: 78:[57, 88] Operation: 91-3=88
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 78:[3, 34], Operations: ['97-6=91', '91-57=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,78 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 78:[91, 19], Operations: ['97-6=91', '57/3=19']
Exploring Operation: 91*19=1729, Resulting Numbers: [1729]
1729,78 unequal: No Solution
Exploring Operation: 91-19=72, Resulting Numbers: [72]
72,78 unequal: No Solution
Exploring Operation: 91+19=110, Resulting Numbers: [110]
110,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 78:[91, 54], Operations: ['97-6=91', '57-3=54']
Exploring Operation: 91-54=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 91*54=4914, Resulting Numbers: [4914]
4914,78 unequal: No Solution
Exploring Operation: 91+54=145, Resulting Numbers: [145]
145,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 78:[57, 88], Operations: ['97-6=91', '91-3=88']
Exploring Operation: 57+88=145, Resulting Numbers: [145]
145,78 unequal: No Solution
Exploring Operation: 88-57=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 57*88=5016, Resulting Numbers: [5016]
5016,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
66,
23,
32,
30
] | 26 | [
"66+30=96",
"96/32=3",
"23+3=26"
] | Current State: 26:[66, 23, 32, 30], Operations: []
Exploring Operation: 66+30=96, Resulting Numbers: [23, 32, 96]
Generated Node #2: [23, 32, 96] from Operation: 66+30=96
Current State: 26:[23, 32, 96], Operations: ['66+30=96']
Exploring Operation: 96/32=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 96/32=3
Current State: 26:[23, 3], Operations: ['66+30=96', '96/32=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[66, 23, 32, 30], Operations: []
Exploring Operation: 66-32=34, Resulting Numbers: [23, 30, 34]
Generated Node #0,0: 26:[23, 30, 34] Operation: 66-32=34
Exploring Operation: 32-30=2, Resulting Numbers: [66, 23, 2]
Generated Node #0,1: 26:[66, 23, 2] Operation: 32-30=2
Exploring Operation: 66-23=43, Resulting Numbers: [32, 30, 43]
Generated Node #0,2: 26:[32, 30, 43] Operation: 66-23=43
Exploring Operation: 66-30=36, Resulting Numbers: [23, 32, 36]
Generated Node #0,3: 26:[23, 32, 36] Operation: 66-30=36
Moving to Node #0,0
Current State: 26:[23, 30, 34], Operations: ['66-32=34']
Exploring Operation: 34-23=11, Resulting Numbers: [30, 11]
Generated Node #0,0,0: 26:[30, 11] Operation: 34-23=11
Exploring Operation: 23+30=53, Resulting Numbers: [34, 53]
Generated Node #0,0,1: 26:[34, 53] Operation: 23+30=53
Exploring Operation: 30-23=7, Resulting Numbers: [34, 7]
Generated Node #0,0,2: 26:[34, 7] Operation: 30-23=7
Exploring Operation: 34-30=4, Resulting Numbers: [23, 4]
Generated Node #0,0,3: 26:[23, 4] Operation: 34-30=4
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 26:[23, 4], Operations: ['66-32=34', '34-30=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,26 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,26 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 #0,0,0
Current State: 26:[30, 11], Operations: ['66-32=34', '34-23=11']
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,26 unequal: No Solution
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,26 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,26 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 #0,0,2
Current State: 26:[34, 7], Operations: ['66-32=34', '30-23=7']
Exploring Operation: 34+7=41, Resulting Numbers: [41]
41,26 unequal: No Solution
Exploring Operation: 34*7=238, Resulting Numbers: [238]
238,26 unequal: No Solution
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,26 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 #0,0,1
Current State: 26:[34, 53], Operations: ['66-32=34', '23+30=53']
Exploring Operation: 34+53=87, Resulting Numbers: [87]
87,26 unequal: No Solution
Exploring Operation: 53-34=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 34*53=1802, Resulting Numbers: [1802]
1802,26 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: 26:[23, 32, 36], Operations: ['66-30=36']
Exploring Operation: 36-23=13, Resulting Numbers: [32, 13]
Generated Node #0,3,0: 26:[32, 13] Operation: 36-23=13
Exploring Operation: 32-23=9, Resulting Numbers: [36, 9]
Generated Node #0,3,1: 26:[36, 9] Operation: 32-23=9
Exploring Operation: 36-32=4, Resulting Numbers: [23, 4]
Generated Node #0,3,2: 26:[23, 4] Operation: 36-32=4
Exploring Operation: 23+32=55, Resulting Numbers: [36, 55]
Generated Node #0,3,3: 26:[36, 55] Operation: 23+32=55
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 26:[23, 4], Operations: ['66-30=36', '36-32=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,26 unequal: No Solution
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 26:[32, 13], Operations: ['66-30=36', '36-23=13']
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 32*13=416, Resulting Numbers: [416]
416,26 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 #0,3,1
Current State: 26:[36, 9], Operations: ['66-30=36', '32-23=9']
Exploring Operation: 36*9=324, Resulting Numbers: [324]
324,26 unequal: No Solution
Exploring Operation: 36+9=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,26 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 #0,3,3
Current State: 26:[36, 55], Operations: ['66-30=36', '23+32=55']
Exploring Operation: 36*55=1980, Resulting Numbers: [1980]
1980,26 unequal: No Solution
Exploring Operation: 36+55=91, Resulting Numbers: [91]
91,26 unequal: No Solution
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,26 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: 26:[32, 30, 43], Operations: ['66-23=43']
Exploring Operation: 32+30=62, Resulting Numbers: [43, 62]
Generated Node #0,2,0: 26:[43, 62] Operation: 32+30=62
Exploring Operation: 43-30=13, Resulting Numbers: [32, 13]
Generated Node #0,2,1: 26:[32, 13] Operation: 43-30=13
Exploring Operation: 43-32=11, Resulting Numbers: [30, 11]
Generated Node #0,2,2: 26:[30, 11] Operation: 43-32=11
Exploring Operation: 32-30=2, Resulting Numbers: [43, 2]
Generated Node #0,2,3: 26:[43, 2] Operation: 32-30=2
Moving to Node #0,1
Current State: 26:[66, 23, 2], Operations: ['32-30=2']
Exploring Operation: 66-23=43, Resulting Numbers: [2, 43]
Generated Node #0,1,0: 26:[2, 43] Operation: 66-23=43
Exploring Operation: 66/2=33, Resulting Numbers: [23, 33]
Generated Node #0,1,1: 26:[23, 33] Operation: 66/2=33
Exploring Operation: 23+2=25, Resulting Numbers: [66, 25]
Generated Node #0,1,2: 26:[66, 25] Operation: 23+2=25
Exploring Operation: 66-2=64, Resulting Numbers: [23, 64]
Generated Node #0,1,3: 26:[23, 64] Operation: 66-2=64
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[23, 33], Operations: ['32-30=2', '66/2=33']
Exploring Operation: 23*33=759, Resulting Numbers: [759]
759,26 unequal: No Solution
Exploring Operation: 23+33=56, Resulting Numbers: [56]
56,26 unequal: No Solution
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,26 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 #0,1,0
Current State: 26:[2, 43], Operations: ['32-30=2', '66-23=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,26 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,26 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 #0,1,2
Current State: 26:[66, 25], Operations: ['32-30=2', '23+2=25']
Exploring Operation: 66*25=1650, Resulting Numbers: [1650]
1650,26 unequal: No Solution
Exploring Operation: 66+25=91, Resulting Numbers: [91]
91,26 unequal: No Solution
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,26 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 #0,1,3
Current State: 26:[23, 64], Operations: ['32-30=2', '66-2=64']
Exploring Operation: 23+64=87, Resulting Numbers: [87]
87,26 unequal: No Solution
Exploring Operation: 23*64=1472, Resulting Numbers: [1472]
1472,26 unequal: No Solution
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 26:[32, 13], Operations: ['66-23=43', '43-30=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 32*13=416, Resulting Numbers: [416]
416,26 unequal: No Solution
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[30, 11], Operations: ['66-23=43', '43-32=11']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,26 unequal: No Solution
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,26 unequal: No Solution
Moving to Node #0,2,3
Current State: 26:[43, 2], Operations: ['66-23=43', '32-30=2']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,26 unequal: No Solution
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,26 unequal: No Solution
Moving to Node #0,2,0
Current State: 26:[43, 62], Operations: ['66-23=43', '32+30=62']
Exploring Operation: 43+62=105, Resulting Numbers: [105]
105,26 unequal: No Solution
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 43*62=2666, Resulting Numbers: [2666]
2666,26 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
45,
68,
97,
67
] | 94 | [
"68+67=135",
"135/45=3",
"97-3=94"
] | Current State: 94:[45, 68, 97, 67], Operations: []
Exploring Operation: 68+67=135, Resulting Numbers: [45, 97, 135]
Generated Node #2: [45, 97, 135] from Operation: 68+67=135
Current State: 94:[45, 97, 135], Operations: ['68+67=135']
Exploring Operation: 135/45=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 135/45=3
Current State: 94:[97, 3], Operations: ['68+67=135', '135/45=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[45, 68, 97, 67], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [45, 67, 29]
Generated Node #0,0: 94:[45, 67, 29] Operation: 97-68=29
Exploring Operation: 68-67=1, Resulting Numbers: [45, 97, 1]
Generated Node #0,1: 94:[45, 97, 1] Operation: 68-67=1
Moving to Node #0,1
Current State: 94:[45, 97, 1], Operations: ['68-67=1']
Exploring Operation: 97-1=96, Resulting Numbers: [45, 96]
Generated Node #0,1,0: 94:[45, 96] Operation: 97-1=96
Exploring Operation: 45+1=46, Resulting Numbers: [97, 46]
Generated Node #0,1,1: 94:[97, 46] Operation: 45+1=46
Moving to Node #0,0
Current State: 94:[45, 67, 29], Operations: ['97-68=29']
Exploring Operation: 67-29=38, Resulting Numbers: [45, 38]
Generated Node #0,0,0: 94:[45, 38] Operation: 67-29=38
Exploring Operation: 67+29=96, Resulting Numbers: [45, 96]
Generated Node #0,0,1: 94:[45, 96] Operation: 67+29=96
Moving to Node #0,1,0
Current State: 94:[45, 96], Operations: ['68-67=1', '97-1=96']
Exploring Operation: 45+96=141, Resulting Numbers: [141]
141,94 unequal: No Solution
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[45, 96], Operations: ['97-68=29', '67+29=96']
Exploring Operation: 45+96=141, Resulting Numbers: [141]
141,94 unequal: No Solution
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[97, 46], Operations: ['68-67=1', '45+1=46']
Exploring Operation: 97-46=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Exploring Operation: 97+46=143, Resulting Numbers: [143]
143,94 unequal: No Solution
Moving to Node #0,0,0
Current State: 94:[45, 38], Operations: ['97-68=29', '67-29=38']
Exploring Operation: 45-38=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 45+38=83, Resulting Numbers: [83]
83,94 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
19,
25,
36,
55
] | 49 | [
"25-19=6",
"36/6=6",
"55-6=49"
] | Current State: 49:[19, 25, 36, 55], Operations: []
Exploring Operation: 25-19=6, Resulting Numbers: [36, 55, 6]
Generated Node #2: [36, 55, 6] from Operation: 25-19=6
Current State: 49:[36, 55, 6], Operations: ['25-19=6']
Exploring Operation: 36/6=6, Resulting Numbers: [55, 6]
Generated Node #3: [55, 6] from Operation: 36/6=6
Current State: 49:[55, 6], Operations: ['25-19=6', '36/6=6']
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[19, 25, 36, 55], Operations: []
Exploring Operation: 25-19=6, Resulting Numbers: [36, 55, 6]
Generated Node #0,0: 49:[36, 55, 6] Operation: 25-19=6
Exploring Operation: 25+36=61, Resulting Numbers: [19, 55, 61]
Generated Node #0,1: 49:[19, 55, 61] Operation: 25+36=61
Exploring Operation: 36-25=11, Resulting Numbers: [19, 55, 11]
Generated Node #0,2: 49:[19, 55, 11] Operation: 36-25=11
Exploring Operation: 19+25=44, Resulting Numbers: [36, 55, 44]
Generated Node #0,3: 49:[36, 55, 44] Operation: 19+25=44
Exploring Operation: 19+36=55, Resulting Numbers: [25, 55, 55]
Generated Node #0,4: 49:[25, 55, 55] Operation: 19+36=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[36, 55, 6], Operations: ['25-19=6']
Exploring Operation: 36/6=6, Resulting Numbers: [55, 6]
Generated Node #0,0,0: 49:[55, 6] Operation: 36/6=6
Exploring Operation: 55-36=19, Resulting Numbers: [6, 19]
Generated Node #0,0,1: 49:[6, 19] Operation: 55-36=19
Exploring Operation: 36-6=30, Resulting Numbers: [55, 30]
Generated Node #0,0,2: 49:[55, 30] Operation: 36-6=30
Exploring Operation: 55-6=49, Resulting Numbers: [36, 49]
Generated Node #0,0,3: 49:[36, 49] Operation: 55-6=49
Exploring Operation: 36+6=42, Resulting Numbers: [55, 42]
Generated Node #0,0,4: 49:[55, 42] Operation: 36+6=42
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[55, 6], Operations: ['25-19=6', '36/6=6']
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,49 unequal: No Solution
Exploring Operation: 55*6=330, Resulting Numbers: [330]
330,49 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[19, 25, 36, 55], Operations: []
Exploring Operation: 25-19=6, Resulting Numbers: [36, 55, 6]
Generated Node #0,0: 49:[36, 55, 6] Operation: 25-19=6
Moving to Node #0,0
Current State: 49:[36, 55, 6], Operations: ['25-19=6']
Exploring Operation: 36/6=6, Resulting Numbers: [55, 6]
Generated Node #0,0,0: 49:[55, 6] Operation: 36/6=6
Moving to Node #0,0,0
Current State: 49:[55, 6], Operations: ['25-19=6', '36/6=6']
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
7,
28,
13,
3
] | 38 | [
"28-13=15",
"3*15=45",
"45-7=38"
] | Current State: 38:[7, 28, 13, 3], Operations: []
Exploring Operation: 28-13=15, Resulting Numbers: [7, 3, 15]
Generated Node #2: [7, 3, 15] from Operation: 28-13=15
Current State: 38:[7, 3, 15], Operations: ['28-13=15']
Exploring Operation: 3*15=45, Resulting Numbers: [7, 45]
Generated Node #3: [7, 45] from Operation: 3*15=45
Current State: 38:[7, 45], Operations: ['28-13=15', '3*15=45']
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[7, 28, 13, 3], Operations: []
Exploring Operation: 28+13=41, Resulting Numbers: [7, 3, 41]
Generated Node #0,0: 38:[7, 3, 41] Operation: 28+13=41
Exploring Operation: 28/7=4, Resulting Numbers: [13, 3, 4]
Generated Node #0,1: 38:[13, 3, 4] Operation: 28/7=4
Exploring Operation: 7+28=35, Resulting Numbers: [13, 3, 35]
Generated Node #0,2: 38:[13, 3, 35] Operation: 7+28=35
Exploring Operation: 28-7=21, Resulting Numbers: [13, 3, 21]
Generated Node #0,3: 38:[13, 3, 21] Operation: 28-7=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[7, 3, 41], Operations: ['28+13=41']
Exploring Operation: 41-3=38, Resulting Numbers: [7, 38]
Generated Node #0,0,0: 38:[7, 38] Operation: 41-3=38
Exploring Operation: 7*3=21, Resulting Numbers: [41, 21]
Generated Node #0,0,1: 38:[41, 21] Operation: 7*3=21
Exploring Operation: 7-3=4, Resulting Numbers: [41, 4]
Generated Node #0,0,2: 38:[41, 4] Operation: 7-3=4
Exploring Operation: 41-7=34, Resulting Numbers: [3, 34]
Generated Node #0,0,3: 38:[3, 34] Operation: 41-7=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[7, 38], Operations: ['28+13=41', '41-3=38']
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,38 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,38 unequal: No Solution
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,38 unequal: No Solution
No 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: 38:[41, 21], Operations: ['28+13=41', '7*3=21']
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,38 unequal: No Solution
Exploring Operation: 41*21=861, Resulting Numbers: [861]
861,38 unequal: No Solution
No 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: 38:[41, 4], Operations: ['28+13=41', '7-3=4']
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,38 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,38 unequal: No Solution
No 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: 38:[3, 34], Operations: ['28+13=41', '41-7=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,38 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,38 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,38 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: 38:[13, 3, 4], Operations: ['28/7=4']
Exploring Operation: 13+4=17, Resulting Numbers: [3, 17]
Generated Node #0,1,0: 38:[3, 17] Operation: 13+4=17
Exploring Operation: 13+3=16, Resulting Numbers: [4, 16]
Generated Node #0,1,1: 38:[4, 16] Operation: 13+3=16
Exploring Operation: 4-3=1, Resulting Numbers: [13, 1]
Generated Node #0,1,2: 38:[13, 1] Operation: 4-3=1
Exploring Operation: 13*3=39, Resulting Numbers: [4, 39]
Generated Node #0,1,3: 38:[4, 39] Operation: 13*3=39
Moving to Node #0,1,0
Current State: 38:[3, 17], Operations: ['28/7=4', '13+4=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Moving to Node #0,1,3
Current State: 38:[4, 39], Operations: ['28/7=4', '13*3=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,38 unequal: No Solution
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[4, 16], Operations: ['28/7=4', '13+3=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,38 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[13, 1], Operations: ['28/7=4', '4-3=1']
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[13, 3, 21], Operations: ['28-7=21']
Exploring Operation: 13+3=16, Resulting Numbers: [21, 16]
Generated Node #0,3,0: 38:[21, 16] Operation: 13+3=16
Exploring Operation: 13+21=34, Resulting Numbers: [3, 34]
Generated Node #0,3,1: 38:[3, 34] Operation: 13+21=34
Exploring Operation: 13*3=39, Resulting Numbers: [21, 39]
Generated Node #0,3,2: 38:[21, 39] Operation: 13*3=39
Exploring Operation: 21-13=8, Resulting Numbers: [3, 8]
Generated Node #0,3,3: 38:[3, 8] Operation: 21-13=8
Moving to Node #0,3,2
Current State: 38:[21, 39], Operations: ['28-7=21', '13*3=39']
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 21+39=60, Resulting Numbers: [60]
60,38 unequal: No Solution
Exploring Operation: 21*39=819, Resulting Numbers: [819]
819,38 unequal: No Solution
Moving to Node #0,3,1
Current State: 38:[3, 34], Operations: ['28-7=21', '13+21=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,38 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,38 unequal: No Solution
Moving to Node #0,3,0
Current State: 38:[21, 16], Operations: ['28-7=21', '13+3=16']
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,38 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Moving to Node #0,3,3
Current State: 38:[3, 8], Operations: ['28-7=21', '21-13=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[13, 3, 35], Operations: ['7+28=35']
Exploring Operation: 13+3=16, Resulting Numbers: [35, 16]
Generated Node #0,2,0: 38:[35, 16] Operation: 13+3=16
Exploring Operation: 3+35=38, Resulting Numbers: [13, 38]
Generated Node #0,2,1: 38:[13, 38] Operation: 3+35=38
Exploring Operation: 35-13=22, Resulting Numbers: [3, 22]
Generated Node #0,2,2: 38:[3, 22] Operation: 35-13=22
Exploring Operation: 13*3=39, Resulting Numbers: [35, 39]
Generated Node #0,2,3: 38:[35, 39] Operation: 13*3=39
Moving to Node #0,2,2
Current State: 38:[3, 22], Operations: ['7+28=35', '35-13=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,38 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,38 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Moving to Node #0,2,3
Current State: 38:[35, 39], Operations: ['7+28=35', '13*3=39']
Exploring Operation: 35*39=1365, Resulting Numbers: [1365]
1365,38 unequal: No Solution
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,38 unequal: No Solution
Moving to Node #0,2,1
Current State: 38:[13, 38], Operations: ['7+28=35', '3+35=38']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,38 unequal: No Solution
Moving to Node #0,2,0
Current State: 38:[35, 16], Operations: ['7+28=35', '13+3=16']
Exploring Operation: 35*16=560, Resulting Numbers: [560]
560,38 unequal: No Solution
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
48,
55,
2,
5
] | 96 | [
"48+55=103",
"2+5=7",
"103-7=96"
] | Current State: 96:[48, 55, 2, 5], Operations: []
Exploring Operation: 48+55=103, Resulting Numbers: [2, 5, 103]
Generated Node #2: [2, 5, 103] from Operation: 48+55=103
Current State: 96:[2, 5, 103], Operations: ['48+55=103']
Exploring Operation: 2+5=7, Resulting Numbers: [103, 7]
Generated Node #3: [103, 7] from Operation: 2+5=7
Current State: 96:[103, 7], Operations: ['48+55=103', '2+5=7']
Exploring Operation: 103-7=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[48, 55, 2, 5], Operations: []
Exploring Operation: 55-48=7, Resulting Numbers: [2, 5, 7]
Generated Node #0,0: 96:[2, 5, 7] Operation: 55-48=7
Exploring Operation: 55/5=11, Resulting Numbers: [48, 2, 11]
Generated Node #0,1: 96:[48, 2, 11] Operation: 55/5=11
Exploring Operation: 55-5=50, Resulting Numbers: [48, 2, 50]
Generated Node #0,2: 96:[48, 2, 50] Operation: 55-5=50
Exploring Operation: 55-2=53, Resulting Numbers: [48, 5, 53]
Generated Node #0,3: 96:[48, 5, 53] Operation: 55-2=53
Exploring Operation: 5-2=3, Resulting Numbers: [48, 55, 3]
Generated Node #0,4: 96:[48, 55, 3] Operation: 5-2=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[48, 2, 11], Operations: ['55/5=11']
Exploring Operation: 48/2=24, Resulting Numbers: [11, 24]
Generated Node #0,1,0: 96:[11, 24] Operation: 48/2=24
Exploring Operation: 2*11=22, Resulting Numbers: [48, 22]
Generated Node #0,1,1: 96:[48, 22] Operation: 2*11=22
Exploring Operation: 48*2=96, Resulting Numbers: [11, 96]
Generated Node #0,1,2: 96:[11, 96] Operation: 48*2=96
Exploring Operation: 2+11=13, Resulting Numbers: [48, 13]
Generated Node #0,1,3: 96:[48, 13] Operation: 2+11=13
Exploring Operation: 11-2=9, Resulting Numbers: [48, 9]
Generated Node #0,1,4: 96:[48, 9] Operation: 11-2=9
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[11, 24], Operations: ['55/5=11', '48/2=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,96 unequal: No Solution
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,96 unequal: No Solution
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,96 unequal: No Solution
No 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: 96:[11, 96], Operations: ['55/5=11', '48*2=96']
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,96 unequal: No Solution
Exploring Operation: 11+96=107, Resulting Numbers: [107]
107,96 unequal: No Solution
Exploring Operation: 11*96=1056, Resulting Numbers: [1056]
1056,96 unequal: No Solution
No 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: 96:[48, 13], Operations: ['55/5=11', '2+11=13']
Exploring Operation: 48*13=624, Resulting Numbers: [624]
624,96 unequal: No Solution
Exploring Operation: 48+13=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,96 unequal: No Solution
No 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: 96:[48, 9], Operations: ['55/5=11', '11-2=9']
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,96 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,96 unequal: No Solution
No 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: 96:[48, 22], Operations: ['55/5=11', '2*11=22']
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 48*22=1056, Resulting Numbers: [1056]
1056,96 unequal: No Solution
Exploring Operation: 48+22=70, Resulting Numbers: [70]
70,96 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: 96:[2, 5, 7], Operations: ['55-48=7']
Exploring Operation: 5-2=3, Resulting Numbers: [7, 3]
Generated Node #0,0,0: 96:[7, 3] Operation: 5-2=3
Exploring Operation: 2+5=7, Resulting Numbers: [7, 7]
Generated Node #0,0,1: 96:[7, 7] Operation: 2+5=7
Exploring Operation: 2+7=9, Resulting Numbers: [5, 9]
Generated Node #0,0,2: 96:[5, 9] Operation: 2+7=9
Exploring Operation: 5+7=12, Resulting Numbers: [2, 12]
Generated Node #0,0,3: 96:[2, 12] Operation: 5+7=12
Exploring Operation: 7-5=2, Resulting Numbers: [2, 2]
Generated Node #0,0,4: 96:[2, 2] Operation: 7-5=2
Moving to Node #0,0,3
Current State: 96:[2, 12], Operations: ['55-48=7', '5+7=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,96 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Moving to Node #0,0,4
Current State: 96:[2, 2], Operations: ['55-48=7', '7-5=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,96 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[7, 3], Operations: ['55-48=7', '5-2=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,96 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,96 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[7, 7], Operations: ['55-48=7', '2+5=7']
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,96 unequal: No Solution
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Moving to Node #0,0,2
Current State: 96:[5, 9], Operations: ['55-48=7', '2+7=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,96 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,96 unequal: No Solution
No 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: 96:[48, 2, 50], Operations: ['55-5=50']
Exploring Operation: 50/2=25, Resulting Numbers: [48, 25]
Generated Node #0,2,0: 96:[48, 25] Operation: 50/2=25
Exploring Operation: 48/2=24, Resulting Numbers: [50, 24]
Generated Node #0,2,1: 96:[50, 24] Operation: 48/2=24
Exploring Operation: 50-2=48, Resulting Numbers: [48, 48]
Generated Node #0,2,2: 96:[48, 48] Operation: 50-2=48
Exploring Operation: 50-48=2, Resulting Numbers: [2, 2]
Generated Node #0,2,3: 96:[2, 2] Operation: 50-48=2
Exploring Operation: 48*2=96, Resulting Numbers: [50, 96]
Generated Node #0,2,4: 96:[50, 96] Operation: 48*2=96
Moving to Node #0,2,2
Current State: 96:[48, 48], Operations: ['55-5=50', '50-2=48']
Exploring Operation: 48*48=2304, Resulting Numbers: [2304]
2304,96 unequal: No Solution
Exploring Operation: 48-48=0, Resulting Numbers: [0]
0,96 unequal: No Solution
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[48, 55, 2, 5], Operations: []
Exploring Operation: 55-5=50, Resulting Numbers: [48, 2, 50]
Generated Node #0,2: 96:[48, 2, 50] Operation: 55-5=50
Moving to Node #0,2
Current State: 96:[48, 2, 50], Operations: ['55-5=50']
Exploring Operation: 50-2=48, Resulting Numbers: [48, 48]
Generated Node #0,2,2: 96:[48, 48] Operation: 50-2=48
Moving to Node #0,2,2
Current State: 96:[48, 48], Operations: ['55-5=50', '50-2=48']
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.947917 | hs_5 | mult_heuristic |
[
38,
64,
19,
27
] | 72 | [
"64-38=26",
"19+27=46",
"26+46=72"
] | Current State: 72:[38, 64, 19, 27], Operations: []
Exploring Operation: 64-38=26, Resulting Numbers: [19, 27, 26]
Generated Node #2: [19, 27, 26] from Operation: 64-38=26
Current State: 72:[19, 27, 26], Operations: ['64-38=26']
Exploring Operation: 19+27=46, Resulting Numbers: [26, 46]
Generated Node #3: [26, 46] from Operation: 19+27=46
Current State: 72:[26, 46], Operations: ['64-38=26', '19+27=46']
Exploring Operation: 26+46=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[38, 64, 19, 27], Operations: []
Exploring Operation: 27-19=8, Resulting Numbers: [38, 64, 8]
Generated Node #0,0: 72:[38, 64, 8] Operation: 27-19=8
Exploring Operation: 64-27=37, Resulting Numbers: [38, 19, 37]
Generated Node #0,1: 72:[38, 19, 37] Operation: 64-27=37
Exploring Operation: 64-38=26, Resulting Numbers: [19, 27, 26]
Generated Node #0,2: 72:[19, 27, 26] Operation: 64-38=26
Exploring Operation: 38-27=11, Resulting Numbers: [64, 19, 11]
Generated Node #0,3: 72:[64, 19, 11] Operation: 38-27=11
Moving to Node #0,1
Current State: 72:[38, 19, 37], Operations: ['64-27=37']
Exploring Operation: 38-19=19, Resulting Numbers: [37, 19]
Generated Node #0,1,0: 72:[37, 19] Operation: 38-19=19
Exploring Operation: 37-19=18, Resulting Numbers: [38, 18]
Generated Node #0,1,1: 72:[38, 18] Operation: 37-19=18
Exploring Operation: 38/19=2, Resulting Numbers: [37, 2]
Generated Node #0,1,2: 72:[37, 2] Operation: 38/19=2
Exploring Operation: 38-37=1, Resulting Numbers: [19, 1]
Generated Node #0,1,3: 72:[19, 1] Operation: 38-37=1
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 72:[37, 2], Operations: ['64-27=37', '38/19=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,72 unequal: No Solution
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,72 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 #0,1,0
Current State: 72:[37, 19], Operations: ['64-27=37', '38-19=19']
Exploring Operation: 37+19=56, Resulting Numbers: [56]
56,72 unequal: No Solution
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 37*19=703, Resulting Numbers: [703]
703,72 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 #0,1,1
Current State: 72:[38, 18], Operations: ['64-27=37', '37-19=18']
Exploring Operation: 38*18=684, Resulting Numbers: [684]
684,72 unequal: No Solution
Exploring Operation: 38+18=56, Resulting Numbers: [56]
56,72 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,72 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 #0,1,3
Current State: 72:[19, 1], Operations: ['64-27=37', '38-37=1']
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,72 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: 72:[19, 27, 26], Operations: ['64-38=26']
Exploring Operation: 26-19=7, Resulting Numbers: [27, 7]
Generated Node #0,2,0: 72:[27, 7] Operation: 26-19=7
Exploring Operation: 19+27=46, Resulting Numbers: [26, 46]
Generated Node #0,2,1: 72:[26, 46] Operation: 19+27=46
Exploring Operation: 27-19=8, Resulting Numbers: [26, 8]
Generated Node #0,2,2: 72:[26, 8] Operation: 27-19=8
Exploring Operation: 27-26=1, Resulting Numbers: [19, 1]
Generated Node #0,2,3: 72:[19, 1] Operation: 27-26=1
Moving to Node #0,3
Current State: 72:[64, 19, 11], Operations: ['38-27=11']
Exploring Operation: 64-19=45, Resulting Numbers: [11, 45]
Generated Node #0,3,0: 72:[11, 45] Operation: 64-19=45
Exploring Operation: 64+19=83, Resulting Numbers: [11, 83]
Generated Node #0,3,1: 72:[11, 83] Operation: 64+19=83
Exploring Operation: 64+11=75, Resulting Numbers: [19, 75]
Generated Node #0,3,2: 72:[19, 75] Operation: 64+11=75
Exploring Operation: 19-11=8, Resulting Numbers: [64, 8]
Generated Node #0,3,3: 72:[64, 8] Operation: 19-11=8
Moving to Node #0,0
Current State: 72:[38, 64, 8], Operations: ['27-19=8']
Exploring Operation: 64-38=26, Resulting Numbers: [8, 26]
Generated Node #0,0,0: 72:[8, 26] Operation: 64-38=26
Exploring Operation: 64/8=8, Resulting Numbers: [38, 8]
Generated Node #0,0,1: 72:[38, 8] Operation: 64/8=8
Exploring Operation: 38-8=30, Resulting Numbers: [64, 30]
Generated Node #0,0,2: 72:[64, 30] Operation: 38-8=30
Exploring Operation: 64+8=72, Resulting Numbers: [38, 72]
Generated Node #0,0,3: 72:[38, 72] Operation: 64+8=72
Moving to Node #0,2,2
Current State: 72:[26, 8], Operations: ['64-38=26', '27-19=8']
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,72 unequal: No Solution
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Moving to Node #0,2,3
Current State: 72:[19, 1], Operations: ['64-38=26', '27-26=1']
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[38, 8], Operations: ['27-19=8', '64/8=8']
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,72 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[38, 72], Operations: ['27-19=8', '64+8=72']
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 38*72=2736, Resulting Numbers: [2736]
2736,72 unequal: No Solution
Exploring Operation: 38+72=110, Resulting Numbers: [110]
110,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[8, 26], Operations: ['27-19=8', '64-38=26']
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,72 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[27, 7], Operations: ['64-38=26', '26-19=7']
Exploring Operation: 27*7=189, Resulting Numbers: [189]
189,72 unequal: No Solution
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Moving to Node #0,3,2
Current State: 72:[19, 75], Operations: ['38-27=11', '64+11=75']
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,72 unequal: No Solution
Exploring Operation: 19*75=1425, Resulting Numbers: [1425]
1425,72 unequal: No Solution
Exploring Operation: 19+75=94, Resulting Numbers: [94]
94,72 unequal: No Solution
Moving to Node #0,3,3
Current State: 72:[64, 8], Operations: ['38-27=11', '19-11=8']
Exploring Operation: 64/8=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 64*8=512, Resulting Numbers: [512]
512,72 unequal: No Solution
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,72 unequal: No Solution
Exploring Operation: 64+8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[38, 64, 19, 27], Operations: []
Exploring Operation: 38-27=11, Resulting Numbers: [64, 19, 11]
Generated Node #0,3: 72:[64, 19, 11] Operation: 38-27=11
Moving to Node #0,3
Current State: 72:[64, 19, 11], Operations: ['38-27=11']
Exploring Operation: 19-11=8, Resulting Numbers: [64, 8]
Generated Node #0,3,3: 72:[64, 8] Operation: 19-11=8
Moving to Node #0,3,3
Current State: 72:[64, 8], Operations: ['38-27=11', '19-11=8']
Exploring Operation: 64+8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.945313 | hs_4 | mult_heuristic |
[
50,
1,
42,
71
] | 63 | [
"50*1=50",
"42+71=113",
"113-50=63"
] | Current State: 63:[50, 1, 42, 71], Operations: []
Exploring Operation: 50*1=50, Resulting Numbers: [42, 71, 50]
Generated Node #2: [42, 71, 50] from Operation: 50*1=50
Current State: 63:[42, 71, 50], Operations: ['50*1=50']
Exploring Operation: 42+71=113, Resulting Numbers: [50, 113]
Generated Node #3: [50, 113] from Operation: 42+71=113
Current State: 63:[50, 113], Operations: ['50*1=50', '42+71=113']
Exploring Operation: 113-50=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[50, 1, 42, 71], Operations: []
Exploring Operation: 71-50=21, Resulting Numbers: [1, 42, 21]
Generated Node #0,0: 63:[1, 42, 21] Operation: 71-50=21
Exploring Operation: 50+1=51, Resulting Numbers: [42, 71, 51]
Generated Node #0,1: 63:[42, 71, 51] Operation: 50+1=51
Exploring Operation: 50+42=92, Resulting Numbers: [1, 71, 92]
Generated Node #0,2: 63:[1, 71, 92] Operation: 50+42=92
Exploring Operation: 71-42=29, Resulting Numbers: [50, 1, 29]
Generated Node #0,3: 63:[50, 1, 29] Operation: 71-42=29
Exploring Operation: 50-42=8, Resulting Numbers: [1, 71, 8]
Generated Node #0,4: 63:[1, 71, 8] Operation: 50-42=8
Start Sub Search at level 1: Moving to Node #0,4
Current State: 63:[1, 71, 8], Operations: ['50-42=8']
Exploring Operation: 8-1=7, Resulting Numbers: [71, 7]
Generated Node #0,4,0: 63:[71, 7] Operation: 8-1=7
Exploring Operation: 71-8=63, Resulting Numbers: [1, 63]
Generated Node #0,4,1: 63:[1, 63] Operation: 71-8=63
Exploring Operation: 1+8=9, Resulting Numbers: [71, 9]
Generated Node #0,4,2: 63:[71, 9] Operation: 1+8=9
Exploring Operation: 71-1=70, Resulting Numbers: [8, 70]
Generated Node #0,4,3: 63:[8, 70] Operation: 71-1=70
Exploring Operation: 1*71=71, Resulting Numbers: [8, 71]
Generated Node #0,4,4: 63:[8, 71] Operation: 1*71=71
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 63:[1, 63], Operations: ['50-42=8', '71-8=63']
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[50, 1, 42, 71], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [1, 71, 8]
Generated Node #0,4: 63:[1, 71, 8] Operation: 50-42=8
Moving to Node #0,4
Current State: 63:[1, 71, 8], Operations: ['50-42=8']
Exploring Operation: 71-8=63, Resulting Numbers: [1, 63]
Generated Node #0,4,1: 63:[1, 63] Operation: 71-8=63
Moving to Node #0,4,1
Current State: 63:[1, 63], Operations: ['50-42=8', '71-8=63']
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
1,
86,
88,
27
] | 25 | [
"1*86=86",
"88-27=61",
"86-61=25"
] | Current State: 25:[1, 86, 88, 27], Operations: []
Exploring Operation: 1*86=86, Resulting Numbers: [88, 27, 86]
Generated Node #2: [88, 27, 86] from Operation: 1*86=86
Current State: 25:[88, 27, 86], Operations: ['1*86=86']
Exploring Operation: 88-27=61, Resulting Numbers: [86, 61]
Generated Node #3: [86, 61] from Operation: 88-27=61
Current State: 25:[86, 61], Operations: ['1*86=86', '88-27=61']
Exploring Operation: 86-61=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[1, 86, 88, 27], Operations: []
Exploring Operation: 86-1=85, Resulting Numbers: [88, 27, 85]
Generated Node #0,0: 25:[88, 27, 85] Operation: 86-1=85
Exploring Operation: 88-86=2, Resulting Numbers: [1, 27, 2]
Generated Node #0,1: 25:[1, 27, 2] Operation: 88-86=2
Exploring Operation: 86-27=59, Resulting Numbers: [1, 88, 59]
Generated Node #0,2: 25:[1, 88, 59] Operation: 86-27=59
Exploring Operation: 88-27=61, Resulting Numbers: [1, 86, 61]
Generated Node #0,3: 25:[1, 86, 61] Operation: 88-27=61
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[1, 27, 2], Operations: ['88-86=2']
Exploring Operation: 1+2=3, Resulting Numbers: [27, 3]
Generated Node #0,1,0: 25:[27, 3] Operation: 1+2=3
Exploring Operation: 27-2=25, Resulting Numbers: [1, 25]
Generated Node #0,1,1: 25:[1, 25] Operation: 27-2=25
Exploring Operation: 27-1=26, Resulting Numbers: [2, 26]
Generated Node #0,1,2: 25:[2, 26] Operation: 27-1=26
Exploring Operation: 1*27=27, Resulting Numbers: [2, 27]
Generated Node #0,1,3: 25:[2, 27] Operation: 1*27=27
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 25:[27, 3], Operations: ['88-86=2', '1+2=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 25:[1, 25], Operations: ['88-86=2', '27-2=25']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[1, 86, 88, 27], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [1, 27, 2]
Generated Node #0,1: 25:[1, 27, 2] Operation: 88-86=2
Moving to Node #0,1
Current State: 25:[1, 27, 2], Operations: ['88-86=2']
Exploring Operation: 27-2=25, Resulting Numbers: [1, 25]
Generated Node #0,1,1: 25:[1, 25] Operation: 27-2=25
Moving to Node #0,1,1
Current State: 25:[1, 25], Operations: ['88-86=2', '27-2=25']
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
66,
4,
94,
25
] | 32 | [
"94-66=28",
"28/4=7",
"25+7=32"
] | Current State: 32:[66, 4, 94, 25], Operations: []
Exploring Operation: 94-66=28, Resulting Numbers: [4, 25, 28]
Generated Node #2: [4, 25, 28] from Operation: 94-66=28
Current State: 32:[4, 25, 28], Operations: ['94-66=28']
Exploring Operation: 28/4=7, Resulting Numbers: [25, 7]
Generated Node #3: [25, 7] from Operation: 28/4=7
Current State: 32:[25, 7], Operations: ['94-66=28', '28/4=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[66, 4, 94, 25], Operations: []
Exploring Operation: 94-4=90, Resulting Numbers: [66, 25, 90]
Generated Node #0,0: 32:[66, 25, 90] Operation: 94-4=90
Exploring Operation: 94-66=28, Resulting Numbers: [4, 25, 28]
Generated Node #0,1: 32:[4, 25, 28] Operation: 94-66=28
Exploring Operation: 66-25=41, Resulting Numbers: [4, 94, 41]
Generated Node #0,2: 32:[4, 94, 41] Operation: 66-25=41
Exploring Operation: 94-25=69, Resulting Numbers: [66, 4, 69]
Generated Node #0,3: 32:[66, 4, 69] Operation: 94-25=69
Exploring Operation: 66-4=62, Resulting Numbers: [94, 25, 62]
Generated Node #0,4: 32:[94, 25, 62] Operation: 66-4=62
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[4, 25, 28], Operations: ['94-66=28']
Exploring Operation: 4+28=32, Resulting Numbers: [25, 32]
Generated Node #0,1,0: 32:[25, 32] Operation: 4+28=32
Exploring Operation: 4+25=29, Resulting Numbers: [28, 29]
Generated Node #0,1,1: 32:[28, 29] Operation: 4+25=29
Exploring Operation: 28/4=7, Resulting Numbers: [25, 7]
Generated Node #0,1,2: 32:[25, 7] Operation: 28/4=7
Exploring Operation: 25-4=21, Resulting Numbers: [28, 21]
Generated Node #0,1,3: 32:[28, 21] Operation: 25-4=21
Exploring Operation: 28-25=3, Resulting Numbers: [4, 3]
Generated Node #0,1,4: 32:[4, 3] Operation: 28-25=3
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 32:[4, 3], Operations: ['94-66=28', '28-25=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,32 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,32 unequal: No Solution
No 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: 32:[25, 32], Operations: ['94-66=28', '4+28=32']
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 25*32=800, Resulting Numbers: [800]
800,32 unequal: No Solution
Exploring Operation: 25+32=57, Resulting Numbers: [57]
57,32 unequal: No Solution
No 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: 32:[28, 29], Operations: ['94-66=28', '4+25=29']
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,32 unequal: No Solution
Exploring Operation: 28*29=812, Resulting Numbers: [812]
812,32 unequal: No Solution
No 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: 32:[25, 7], Operations: ['94-66=28', '28/4=7']
Exploring Operation: 25*7=175, Resulting Numbers: [175]
175,32 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[66, 4, 94, 25], Operations: []
Exploring Operation: 94-66=28, Resulting Numbers: [4, 25, 28]
Generated Node #0,1: 32:[4, 25, 28] Operation: 94-66=28
Moving to Node #0,1
Current State: 32:[4, 25, 28], Operations: ['94-66=28']
Exploring Operation: 28/4=7, Resulting Numbers: [25, 7]
Generated Node #0,1,2: 32:[25, 7] Operation: 28/4=7
Moving to Node #0,1,2
Current State: 32:[25, 7], Operations: ['94-66=28', '28/4=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
68,
33,
40,
98
] | 93 | [
"68-33=35",
"98-40=58",
"35+58=93"
] | Current State: 93:[68, 33, 40, 98], Operations: []
Exploring Operation: 68-33=35, Resulting Numbers: [40, 98, 35]
Generated Node #2: [40, 98, 35] from Operation: 68-33=35
Current State: 93:[40, 98, 35], Operations: ['68-33=35']
Exploring Operation: 98-40=58, Resulting Numbers: [35, 58]
Generated Node #3: [35, 58] from Operation: 98-40=58
Current State: 93:[35, 58], Operations: ['68-33=35', '98-40=58']
Exploring Operation: 35+58=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[68, 33, 40, 98], Operations: []
Exploring Operation: 68-33=35, Resulting Numbers: [40, 98, 35]
Generated Node #0,0: 93:[40, 98, 35] Operation: 68-33=35
Exploring Operation: 98-68=30, Resulting Numbers: [33, 40, 30]
Generated Node #0,1: 93:[33, 40, 30] Operation: 98-68=30
Exploring Operation: 68-40=28, Resulting Numbers: [33, 98, 28]
Generated Node #0,2: 93:[33, 98, 28] Operation: 68-40=28
Exploring Operation: 68+33=101, Resulting Numbers: [40, 98, 101]
Generated Node #0,3: 93:[40, 98, 101] Operation: 68+33=101
Moving to Node #0,2
Current State: 93:[33, 98, 28], Operations: ['68-40=28']
Exploring Operation: 33+28=61, Resulting Numbers: [98, 61]
Generated Node #0,2,0: 93:[98, 61] Operation: 33+28=61
Exploring Operation: 98-33=65, Resulting Numbers: [28, 65]
Generated Node #0,2,1: 93:[28, 65] Operation: 98-33=65
Exploring Operation: 33-28=5, Resulting Numbers: [98, 5]
Generated Node #0,2,2: 93:[98, 5] Operation: 33-28=5
Exploring Operation: 98-28=70, Resulting Numbers: [33, 70]
Generated Node #0,2,3: 93:[33, 70] Operation: 98-28=70
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[98, 5], Operations: ['68-40=28', '33-28=5']
Exploring Operation: 98*5=490, Resulting Numbers: [490]
490,93 unequal: No Solution
Exploring Operation: 98+5=103, Resulting Numbers: [103]
103,93 unequal: No Solution
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[68, 33, 40, 98], Operations: []
Exploring Operation: 68-40=28, Resulting Numbers: [33, 98, 28]
Generated Node #0,2: 93:[33, 98, 28] Operation: 68-40=28
Moving to Node #0,2
Current State: 93:[33, 98, 28], Operations: ['68-40=28']
Exploring Operation: 33-28=5, Resulting Numbers: [98, 5]
Generated Node #0,2,2: 93:[98, 5] Operation: 33-28=5
Moving to Node #0,2,2
Current State: 93:[98, 5], Operations: ['68-40=28', '33-28=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
56,
25,
7,
96
] | 72 | [
"56-25=31",
"7+96=103",
"103-31=72"
] | Current State: 72:[56, 25, 7, 96], Operations: []
Exploring Operation: 56-25=31, Resulting Numbers: [7, 96, 31]
Generated Node #2: [7, 96, 31] from Operation: 56-25=31
Current State: 72:[7, 96, 31], Operations: ['56-25=31']
Exploring Operation: 7+96=103, Resulting Numbers: [31, 103]
Generated Node #3: [31, 103] from Operation: 7+96=103
Current State: 72:[31, 103], Operations: ['56-25=31', '7+96=103']
Exploring Operation: 103-31=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[56, 25, 7, 96], Operations: []
Exploring Operation: 96-25=71, Resulting Numbers: [56, 7, 71]
Generated Node #0,0: 72:[56, 7, 71] Operation: 96-25=71
Exploring Operation: 96-56=40, Resulting Numbers: [25, 7, 40]
Generated Node #0,1: 72:[25, 7, 40] Operation: 96-56=40
Moving to Node #0,1
Current State: 72:[25, 7, 40], Operations: ['96-56=40']
Exploring Operation: 25-7=18, Resulting Numbers: [40, 18]
Generated Node #0,1,0: 72:[40, 18] Operation: 25-7=18
Exploring Operation: 40-25=15, Resulting Numbers: [7, 15]
Generated Node #0,1,1: 72:[7, 15] Operation: 40-25=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[40, 18], Operations: ['96-56=40', '25-7=18']
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 40+18=58, Resulting Numbers: [58]
58,72 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 #0,1,1
Current State: 72:[7, 15], Operations: ['96-56=40', '40-25=15']
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 7+15=22, Resulting Numbers: [22]
22,72 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: 72:[56, 7, 71], Operations: ['96-25=71']
Exploring Operation: 56/7=8, Resulting Numbers: [71, 8]
Generated Node #0,0,0: 72:[71, 8] Operation: 56/7=8
Exploring Operation: 71-56=15, Resulting Numbers: [7, 15]
Generated Node #0,0,1: 72:[7, 15] Operation: 71-56=15
Moving to Node #0,0,0
Current State: 72:[71, 8], Operations: ['96-25=71', '56/7=8']
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,72 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[7, 15], Operations: ['96-25=71', '71-56=15']
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 7+15=22, Resulting Numbers: [22]
22,72 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
28,
39,
8,
4
] | 46 | [
"8-4=4",
"28/4=7",
"39+7=46"
] | Current State: 46:[28, 39, 8, 4], Operations: []
Exploring Operation: 8-4=4, Resulting Numbers: [28, 39, 4]
Generated Node #2: [28, 39, 4] from Operation: 8-4=4
Current State: 46:[28, 39, 4], Operations: ['8-4=4']
Exploring Operation: 28/4=7, Resulting Numbers: [39, 7]
Generated Node #3: [39, 7] from Operation: 28/4=7
Current State: 46:[39, 7], Operations: ['8-4=4', '28/4=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[28, 39, 8, 4], Operations: []
Exploring Operation: 28-8=20, Resulting Numbers: [39, 4, 20]
Generated Node #0,0: 46:[39, 4, 20] Operation: 28-8=20
Exploring Operation: 39+8=47, Resulting Numbers: [28, 4, 47]
Generated Node #0,1: 46:[28, 4, 47] Operation: 39+8=47
Exploring Operation: 28-4=24, Resulting Numbers: [39, 8, 24]
Generated Node #0,2: 46:[39, 8, 24] Operation: 28-4=24
Exploring Operation: 8/4=2, Resulting Numbers: [28, 39, 2]
Generated Node #0,3: 46:[28, 39, 2] Operation: 8/4=2
Moving to Node #0,1
Current State: 46:[28, 4, 47], Operations: ['39+8=47']
Exploring Operation: 47-4=43, Resulting Numbers: [28, 43]
Generated Node #0,1,0: 46:[28, 43] Operation: 47-4=43
Exploring Operation: 28-4=24, Resulting Numbers: [47, 24]
Generated Node #0,1,1: 46:[47, 24] Operation: 28-4=24
Exploring Operation: 28/4=7, Resulting Numbers: [47, 7]
Generated Node #0,1,2: 46:[47, 7] Operation: 28/4=7
Exploring Operation: 47-28=19, Resulting Numbers: [4, 19]
Generated Node #0,1,3: 46:[4, 19] Operation: 47-28=19
Moving to Node #0,3
Current State: 46:[28, 39, 2], Operations: ['8/4=2']
Exploring Operation: 39-28=11, Resulting Numbers: [2, 11]
Generated Node #0,3,0: 46:[2, 11] Operation: 39-28=11
Exploring Operation: 28-2=26, Resulting Numbers: [39, 26]
Generated Node #0,3,1: 46:[39, 26] Operation: 28-2=26
Exploring Operation: 39+2=41, Resulting Numbers: [28, 41]
Generated Node #0,3,2: 46:[28, 41] Operation: 39+2=41
Exploring Operation: 28+2=30, Resulting Numbers: [39, 30]
Generated Node #0,3,3: 46:[39, 30] Operation: 28+2=30
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 46:[2, 11], Operations: ['8/4=2', '39-28=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 46:[39, 26], Operations: ['8/4=2', '28-2=26']
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 39*26=1014, Resulting Numbers: [1014]
1014,46 unequal: No Solution
Exploring Operation: 39+26=65, Resulting Numbers: [65]
65,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 46:[28, 41], Operations: ['8/4=2', '39+2=41']
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 28*41=1148, Resulting Numbers: [1148]
1148,46 unequal: No Solution
Exploring Operation: 28+41=69, Resulting Numbers: [69]
69,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 46:[39, 30], Operations: ['8/4=2', '28+2=30']
Exploring Operation: 39*30=1170, Resulting Numbers: [1170]
1170,46 unequal: No Solution
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 39+30=69, Resulting Numbers: [69]
69,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 46:[39, 4, 20], Operations: ['28-8=20']
Exploring Operation: 39+4=43, Resulting Numbers: [20, 43]
Generated Node #0,0,0: 46:[20, 43] Operation: 39+4=43
Exploring Operation: 20/4=5, Resulting Numbers: [39, 5]
Generated Node #0,0,1: 46:[39, 5] Operation: 20/4=5
Exploring Operation: 39-20=19, Resulting Numbers: [4, 19]
Generated Node #0,0,2: 46:[4, 19] Operation: 39-20=19
Exploring Operation: 4+20=24, Resulting Numbers: [39, 24]
Generated Node #0,0,3: 46:[39, 24] Operation: 4+20=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 46:[20, 43], Operations: ['28-8=20', '39+4=43']
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 20*43=860, Resulting Numbers: [860]
860,46 unequal: No Solution
Exploring Operation: 20+43=63, Resulting Numbers: [63]
63,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 46:[4, 19], Operations: ['28-8=20', '39-20=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,46 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,46 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 46:[39, 24], Operations: ['28-8=20', '4+20=24']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,46 unequal: No Solution
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 39*24=936, Resulting Numbers: [936]
936,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 46:[39, 5], Operations: ['28-8=20', '20/4=5']
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,46 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,46 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: 46:[39, 8, 24], Operations: ['28-4=24']
Exploring Operation: 39-8=31, Resulting Numbers: [24, 31]
Generated Node #0,2,0: 46:[24, 31] Operation: 39-8=31
Exploring Operation: 39-24=15, Resulting Numbers: [8, 15]
Generated Node #0,2,1: 46:[8, 15] Operation: 39-24=15
Exploring Operation: 24/8=3, Resulting Numbers: [39, 3]
Generated Node #0,2,2: 46:[39, 3] Operation: 24/8=3
Exploring Operation: 39+8=47, Resulting Numbers: [24, 47]
Generated Node #0,2,3: 46:[24, 47] Operation: 39+8=47
Moving to Node #0,1,1
Current State: 46:[47, 24], Operations: ['39+8=47', '28-4=24']
Exploring Operation: 47+24=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 47*24=1128, Resulting Numbers: [1128]
1128,46 unequal: No Solution
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[24, 47], Operations: ['28-4=24', '39+8=47']
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 24*47=1128, Resulting Numbers: [1128]
1128,46 unequal: No Solution
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Moving to Node #0,1,3
Current State: 46:[4, 19], Operations: ['39+8=47', '47-28=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,46 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,46 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,1,2
Current State: 46:[47, 7], Operations: ['39+8=47', '28/4=7']
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,46 unequal: No Solution
Exploring Operation: 47*7=329, Resulting Numbers: [329]
329,46 unequal: No Solution
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[39, 3], Operations: ['28-4=24', '24/8=3']
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,46 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,46 unequal: No Solution
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,46 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[28, 43], Operations: ['39+8=47', '47-4=43']
Exploring Operation: 28+43=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,46 unequal: No Solution
Exploring Operation: 28*43=1204, Resulting Numbers: [1204]
1204,46 unequal: No Solution
Moving to Node #0,2,0
Current State: 46:[24, 31], Operations: ['28-4=24', '39-8=31']
Exploring Operation: 24*31=744, Resulting Numbers: [744]
744,46 unequal: No Solution
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,46 unequal: No Solution
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[8, 15], Operations: ['28-4=24', '39-24=15']
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,46 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,46 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,46 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
10,
34,
51,
39
] | 43 | [
"51+39=90",
"90/10=9",
"34+9=43"
] | Current State: 43:[10, 34, 51, 39], Operations: []
Exploring Operation: 51+39=90, Resulting Numbers: [10, 34, 90]
Generated Node #2: [10, 34, 90] from Operation: 51+39=90
Current State: 43:[10, 34, 90], Operations: ['51+39=90']
Exploring Operation: 90/10=9, Resulting Numbers: [34, 9]
Generated Node #3: [34, 9] from Operation: 90/10=9
Current State: 43:[34, 9], Operations: ['51+39=90', '90/10=9']
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[10, 34, 51, 39], Operations: []
Exploring Operation: 34-10=24, Resulting Numbers: [51, 39, 24]
Generated Node #0,0: 43:[51, 39, 24] Operation: 34-10=24
Exploring Operation: 10+34=44, Resulting Numbers: [51, 39, 44]
Generated Node #0,1: 43:[51, 39, 44] Operation: 10+34=44
Exploring Operation: 51-10=41, Resulting Numbers: [34, 39, 41]
Generated Node #0,2: 43:[34, 39, 41] Operation: 51-10=41
Exploring Operation: 10+39=49, Resulting Numbers: [34, 51, 49]
Generated Node #0,3: 43:[34, 51, 49] Operation: 10+39=49
Moving to Node #0,1
Current State: 43:[51, 39, 44], Operations: ['10+34=44']
Exploring Operation: 51+39=90, Resulting Numbers: [44, 90]
Generated Node #0,1,0: 43:[44, 90] Operation: 51+39=90
Exploring Operation: 44-39=5, Resulting Numbers: [51, 5]
Generated Node #0,1,1: 43:[51, 5] Operation: 44-39=5
Exploring Operation: 51-44=7, Resulting Numbers: [39, 7]
Generated Node #0,1,2: 43:[39, 7] Operation: 51-44=7
Exploring Operation: 51-39=12, Resulting Numbers: [44, 12]
Generated Node #0,1,3: 43:[44, 12] Operation: 51-39=12
Moving to Node #0,2
Current State: 43:[34, 39, 41], Operations: ['51-10=41']
Exploring Operation: 41-34=7, Resulting Numbers: [39, 7]
Generated Node #0,2,0: 43:[39, 7] Operation: 41-34=7
Exploring Operation: 34+41=75, Resulting Numbers: [39, 75]
Generated Node #0,2,1: 43:[39, 75] Operation: 34+41=75
Exploring Operation: 39-34=5, Resulting Numbers: [41, 5]
Generated Node #0,2,2: 43:[41, 5] Operation: 39-34=5
Exploring Operation: 34+39=73, Resulting Numbers: [41, 73]
Generated Node #0,2,3: 43:[41, 73] Operation: 34+39=73
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 43:[41, 73], Operations: ['51-10=41', '34+39=73']
Exploring Operation: 41+73=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 41*73=2993, Resulting Numbers: [2993]
2993,43 unequal: No Solution
Exploring Operation: 73-41=32, Resulting Numbers: [32]
32,43 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 #0,2,1
Current State: 43:[39, 75], Operations: ['51-10=41', '34+41=75']
Exploring Operation: 39+75=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 39*75=2925, Resulting Numbers: [2925]
2925,43 unequal: No Solution
Exploring Operation: 75-39=36, Resulting Numbers: [36]
36,43 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 #0,2,0
Current State: 43:[39, 7], Operations: ['51-10=41', '41-34=7']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,43 unequal: No Solution
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,43 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 #0,2,2
Current State: 43:[41, 5], Operations: ['51-10=41', '39-34=5']
Exploring Operation: 41+5=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Exploring Operation: 41*5=205, Resulting Numbers: [205]
205,43 unequal: No Solution
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,43 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: 43:[34, 51, 49], Operations: ['10+39=49']
Exploring Operation: 34+49=83, Resulting Numbers: [51, 83]
Generated Node #0,3,0: 43:[51, 83] Operation: 34+49=83
Exploring Operation: 49-34=15, Resulting Numbers: [51, 15]
Generated Node #0,3,1: 43:[51, 15] Operation: 49-34=15
Exploring Operation: 51-34=17, Resulting Numbers: [49, 17]
Generated Node #0,3,2: 43:[49, 17] Operation: 51-34=17
Exploring Operation: 34+51=85, Resulting Numbers: [49, 85]
Generated Node #0,3,3: 43:[49, 85] Operation: 34+51=85
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 43:[49, 17], Operations: ['10+39=49', '51-34=17']
Exploring Operation: 49*17=833, Resulting Numbers: [833]
833,43 unequal: No Solution
Exploring Operation: 49+17=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,43 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 #0,3,1
Current State: 43:[51, 15], Operations: ['10+39=49', '49-34=15']
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,43 unequal: No Solution
Exploring Operation: 51*15=765, Resulting Numbers: [765]
765,43 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 #0,3,0
Current State: 43:[51, 83], Operations: ['10+39=49', '34+49=83']
Exploring Operation: 51*83=4233, Resulting Numbers: [4233]
4233,43 unequal: No Solution
Exploring Operation: 51+83=134, Resulting Numbers: [134]
134,43 unequal: No Solution
Exploring Operation: 83-51=32, Resulting Numbers: [32]
32,43 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 #0,3,3
Current State: 43:[49, 85], Operations: ['10+39=49', '34+51=85']
Exploring Operation: 85-49=36, Resulting Numbers: [36]
36,43 unequal: No Solution
Exploring Operation: 49+85=134, Resulting Numbers: [134]
134,43 unequal: No Solution
Exploring Operation: 49*85=4165, Resulting Numbers: [4165]
4165,43 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: 43:[51, 39, 24], Operations: ['34-10=24']
Exploring Operation: 51-24=27, Resulting Numbers: [39, 27]
Generated Node #0,0,0: 43:[39, 27] Operation: 51-24=27
Exploring Operation: 51+24=75, Resulting Numbers: [39, 75]
Generated Node #0,0,1: 43:[39, 75] Operation: 51+24=75
Exploring Operation: 39+24=63, Resulting Numbers: [51, 63]
Generated Node #0,0,2: 43:[51, 63] Operation: 39+24=63
Exploring Operation: 39-24=15, Resulting Numbers: [51, 15]
Generated Node #0,0,3: 43:[51, 15] Operation: 39-24=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[39, 27], Operations: ['34-10=24', '51-24=27']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,43 unequal: No Solution
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,43 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 #0,0,2
Current State: 43:[51, 63], Operations: ['34-10=24', '39+24=63']
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 51+63=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 51*63=3213, Resulting Numbers: [3213]
3213,43 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 #0,0,1
Current State: 43:[39, 75], Operations: ['34-10=24', '51+24=75']
Exploring Operation: 39*75=2925, Resulting Numbers: [2925]
2925,43 unequal: No Solution
Exploring Operation: 39+75=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 75-39=36, Resulting Numbers: [36]
36,43 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 #0,0,3
Current State: 43:[51, 15], Operations: ['34-10=24', '39-24=15']
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,43 unequal: No Solution
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 51*15=765, Resulting Numbers: [765]
765,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 43:[44, 12], Operations: ['10+34=44', '51-39=12']
Exploring Operation: 44*12=528, Resulting Numbers: [528]
528,43 unequal: No Solution
Exploring Operation: 44+12=56, Resulting Numbers: [56]
56,43 unequal: No Solution
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,43 unequal: No Solution
Moving to Node #0,1,2
Current State: 43:[39, 7], Operations: ['10+34=44', '51-44=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,43 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[51, 5], Operations: ['10+34=44', '44-39=5']
Exploring Operation: 51*5=255, Resulting Numbers: [255]
255,43 unequal: No Solution
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,43 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[44, 90], Operations: ['10+34=44', '51+39=90']
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Exploring Operation: 44+90=134, Resulting Numbers: [134]
134,43 unequal: No Solution
Exploring Operation: 44*90=3960, Resulting Numbers: [3960]
3960,43 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
63,
15,
2,
34
] | 59 | [
"63-34=29",
"15*2=30",
"29+30=59"
] | Current State: 59:[63, 15, 2, 34], Operations: []
Exploring Operation: 63-34=29, Resulting Numbers: [15, 2, 29]
Generated Node #2: [15, 2, 29] from Operation: 63-34=29
Current State: 59:[15, 2, 29], Operations: ['63-34=29']
Exploring Operation: 15*2=30, Resulting Numbers: [29, 30]
Generated Node #3: [29, 30] from Operation: 15*2=30
Current State: 59:[29, 30], Operations: ['63-34=29', '15*2=30']
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[63, 15, 2, 34], Operations: []
Exploring Operation: 15*2=30, Resulting Numbers: [63, 34, 30]
Generated Node #0,0: 59:[63, 34, 30] Operation: 15*2=30
Exploring Operation: 63-2=61, Resulting Numbers: [15, 34, 61]
Generated Node #0,1: 59:[15, 34, 61] Operation: 63-2=61
Exploring Operation: 15+2=17, Resulting Numbers: [63, 34, 17]
Generated Node #0,2: 59:[63, 34, 17] Operation: 15+2=17
Exploring Operation: 2*34=68, Resulting Numbers: [63, 15, 68]
Generated Node #0,3: 59:[63, 15, 68] Operation: 2*34=68
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[63, 15, 68], Operations: ['2*34=68']
Exploring Operation: 68-15=53, Resulting Numbers: [63, 53]
Generated Node #0,3,0: 59:[63, 53] Operation: 68-15=53
Exploring Operation: 63-15=48, Resulting Numbers: [68, 48]
Generated Node #0,3,1: 59:[68, 48] Operation: 63-15=48
Exploring Operation: 15+68=83, Resulting Numbers: [63, 83]
Generated Node #0,3,2: 59:[63, 83] Operation: 15+68=83
Exploring Operation: 63+15=78, Resulting Numbers: [68, 78]
Generated Node #0,3,3: 59:[68, 78] Operation: 63+15=78
Moving to Node #0,3,0
Current State: 59:[63, 53], Operations: ['2*34=68', '68-15=53']
Exploring Operation: 63*53=3339, Resulting Numbers: [3339]
3339,59 unequal: No Solution
Exploring Operation: 63+53=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[68, 48], Operations: ['2*34=68', '63-15=48']
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 68+48=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Exploring Operation: 68*48=3264, Resulting Numbers: [3264]
3264,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[68, 78], Operations: ['2*34=68', '63+15=78']
Exploring Operation: 68+78=146, Resulting Numbers: [146]
146,59 unequal: No Solution
Exploring Operation: 68*78=5304, Resulting Numbers: [5304]
5304,59 unequal: No Solution
Exploring Operation: 78-68=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[63, 83], Operations: ['2*34=68', '15+68=83']
Exploring Operation: 63+83=146, Resulting Numbers: [146]
146,59 unequal: No Solution
Exploring Operation: 83-63=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 63*83=5229, Resulting Numbers: [5229]
5229,59 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
Current State: 59:[63, 34, 30], Operations: ['15*2=30']
Exploring Operation: 63-30=33, Resulting Numbers: [34, 33]
Generated Node #0,0,0: 59:[34, 33] Operation: 63-30=33
Exploring Operation: 34+30=64, Resulting Numbers: [63, 64]
Generated Node #0,0,1: 59:[63, 64] Operation: 34+30=64
Exploring Operation: 63+30=93, Resulting Numbers: [34, 93]
Generated Node #0,0,2: 59:[34, 93] Operation: 63+30=93
Exploring Operation: 63-34=29, Resulting Numbers: [30, 29]
Generated Node #0,0,3: 59:[30, 29] Operation: 63-34=29
Moving to Node #0,0,1
Current State: 59:[63, 64], Operations: ['15*2=30', '34+30=64']
Exploring Operation: 63*64=4032, Resulting Numbers: [4032]
4032,59 unequal: No Solution
Exploring Operation: 63+64=127, Resulting Numbers: [127]
127,59 unequal: No Solution
Exploring Operation: 64-63=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[34, 33], Operations: ['15*2=30', '63-30=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,59 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[30, 29], Operations: ['15*2=30', '63-34=29']
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[63, 15, 2, 34], Operations: []
Exploring Operation: 15*2=30, Resulting Numbers: [63, 34, 30]
Generated Node #0,0: 59:[63, 34, 30] Operation: 15*2=30
Moving to Node #0,0
Current State: 59:[63, 34, 30], Operations: ['15*2=30']
Exploring Operation: 63-34=29, Resulting Numbers: [30, 29]
Generated Node #0,0,3: 59:[30, 29] Operation: 63-34=29
Moving to Node #0,0,3
Current State: 59:[30, 29], Operations: ['15*2=30', '63-34=29']
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_4 | mult_heuristic |
[
70,
12,
98,
60
] | 49 | [
"70-12=58",
"60-58=2",
"98/2=49"
] | Current State: 49:[70, 12, 98, 60], Operations: []
Exploring Operation: 70-12=58, Resulting Numbers: [98, 60, 58]
Generated Node #2: [98, 60, 58] from Operation: 70-12=58
Current State: 49:[98, 60, 58], Operations: ['70-12=58']
Exploring Operation: 60-58=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 60-58=2
Current State: 49:[98, 2], Operations: ['70-12=58', '60-58=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[70, 12, 98, 60], Operations: []
Exploring Operation: 98-70=28, Resulting Numbers: [12, 60, 28]
Generated Node #0,0: 49:[12, 60, 28] Operation: 98-70=28
Exploring Operation: 70-12=58, Resulting Numbers: [98, 60, 58]
Generated Node #0,1: 49:[98, 60, 58] Operation: 70-12=58
Exploring Operation: 98-60=38, Resulting Numbers: [70, 12, 38]
Generated Node #0,2: 49:[70, 12, 38] Operation: 98-60=38
Exploring Operation: 98-12=86, Resulting Numbers: [70, 60, 86]
Generated Node #0,3: 49:[70, 60, 86] Operation: 98-12=86
Exploring Operation: 70-60=10, Resulting Numbers: [12, 98, 10]
Generated Node #0,4: 49:[12, 98, 10] Operation: 70-60=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[12, 60, 28], Operations: ['98-70=28']
Exploring Operation: 12+28=40, Resulting Numbers: [60, 40]
Generated Node #0,0,0: 49:[60, 40] Operation: 12+28=40
Exploring Operation: 60-12=48, Resulting Numbers: [28, 48]
Generated Node #0,0,1: 49:[28, 48] Operation: 60-12=48
Exploring Operation: 60/12=5, Resulting Numbers: [28, 5]
Generated Node #0,0,2: 49:[28, 5] Operation: 60/12=5
Exploring Operation: 60-28=32, Resulting Numbers: [12, 32]
Generated Node #0,0,3: 49:[12, 32] Operation: 60-28=32
Exploring Operation: 28-12=16, Resulting Numbers: [60, 16]
Generated Node #0,0,4: 49:[60, 16] Operation: 28-12=16
Moving to Node #0,0,0
Current State: 49:[60, 40], Operations: ['98-70=28', '12+28=40']
Exploring Operation: 60+40=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Exploring Operation: 60*40=2400, Resulting Numbers: [2400]
2400,49 unequal: No Solution
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Moving to Node #0,0,4
Current State: 49:[60, 16], Operations: ['98-70=28', '28-12=16']
Exploring Operation: 60*16=960, Resulting Numbers: [960]
960,49 unequal: No Solution
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 60+16=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[28, 48], Operations: ['98-70=28', '60-12=48']
Exploring Operation: 28*48=1344, Resulting Numbers: [1344]
1344,49 unequal: No Solution
Exploring Operation: 28+48=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Moving to Node #0,0,3
Current State: 49:[12, 32], Operations: ['98-70=28', '60-28=32']
Exploring Operation: 12*32=384, Resulting Numbers: [384]
384,49 unequal: No Solution
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[28, 5], Operations: ['98-70=28', '60/12=5']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,49 unequal: No Solution
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,49 unequal: No Solution
Exploring Operation: 28*5=140, Resulting Numbers: [140]
140,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[70, 12, 38], Operations: ['98-60=38']
Exploring Operation: 38-12=26, Resulting Numbers: [70, 26]
Generated Node #0,2,0: 49:[70, 26] Operation: 38-12=26
Exploring Operation: 70+12=82, Resulting Numbers: [38, 82]
Generated Node #0,2,1: 49:[38, 82] Operation: 70+12=82
Exploring Operation: 70-12=58, Resulting Numbers: [38, 58]
Generated Node #0,2,2: 49:[38, 58] Operation: 70-12=58
Exploring Operation: 12+38=50, Resulting Numbers: [70, 50]
Generated Node #0,2,3: 49:[70, 50] Operation: 12+38=50
Exploring Operation: 70-38=32, Resulting Numbers: [12, 32]
Generated Node #0,2,4: 49:[12, 32] Operation: 70-38=32
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[38, 58], Operations: ['98-60=38', '70-12=58']
Exploring Operation: 38+58=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 38*58=2204, Resulting Numbers: [2204]
2204,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 49:[70, 50], Operations: ['98-60=38', '12+38=50']
Exploring Operation: 70*50=3500, Resulting Numbers: [3500]
3500,49 unequal: No Solution
Exploring Operation: 70-50=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 70+50=120, Resulting Numbers: [120]
120,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 49:[12, 32], Operations: ['98-60=38', '70-38=32']
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 12*32=384, Resulting Numbers: [384]
384,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 49:[70, 26], Operations: ['98-60=38', '38-12=26']
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 70+26=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 70*26=1820, Resulting Numbers: [1820]
1820,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 49:[38, 82], Operations: ['98-60=38', '70+12=82']
Exploring Operation: 38*82=3116, Resulting Numbers: [3116]
3116,49 unequal: No Solution
Exploring Operation: 82-38=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 38+82=120, Resulting Numbers: [120]
120,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 49:[12, 98, 10], Operations: ['70-60=10']
Exploring Operation: 98-10=88, Resulting Numbers: [12, 88]
Generated Node #0,4,0: 49:[12, 88] Operation: 98-10=88
Exploring Operation: 12+10=22, Resulting Numbers: [98, 22]
Generated Node #0,4,1: 49:[98, 22] Operation: 12+10=22
Exploring Operation: 12+98=110, Resulting Numbers: [10, 110]
Generated Node #0,4,2: 49:[10, 110] Operation: 12+98=110
Exploring Operation: 12-10=2, Resulting Numbers: [98, 2]
Generated Node #0,4,3: 49:[98, 2] Operation: 12-10=2
Exploring Operation: 98-12=86, Resulting Numbers: [10, 86]
Generated Node #0,4,4: 49:[10, 86] Operation: 98-12=86
Moving to Node #0,4,4
Current State: 49:[10, 86], Operations: ['70-60=10', '98-12=86']
Exploring Operation: 10*86=860, Resulting Numbers: [860]
860,49 unequal: No Solution
Exploring Operation: 86-10=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 10+86=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Moving to Node #0,4,0
Current State: 49:[12, 88], Operations: ['70-60=10', '98-10=88']
Exploring Operation: 12+88=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 12*88=1056, Resulting Numbers: [1056]
1056,49 unequal: No Solution
Moving to Node #0,4,3
Current State: 49:[98, 2], Operations: ['70-60=10', '12-10=2']
Exploring Operation: 98*2=196, Resulting Numbers: [196]
196,49 unequal: No Solution
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[70, 12, 98, 60], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [12, 98, 10]
Generated Node #0,4: 49:[12, 98, 10] Operation: 70-60=10
Moving to Node #0,4
Current State: 49:[12, 98, 10], Operations: ['70-60=10']
Exploring Operation: 12-10=2, Resulting Numbers: [98, 2]
Generated Node #0,4,3: 49:[98, 2] Operation: 12-10=2
Moving to Node #0,4,3
Current State: 49:[98, 2], Operations: ['70-60=10', '12-10=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.945313 | hs_5 | mult_heuristic |
[
44,
40,
43,
53
] | 74 | [
"44+40=84",
"53-43=10",
"84-10=74"
] | Current State: 74:[44, 40, 43, 53], Operations: []
Exploring Operation: 44+40=84, Resulting Numbers: [43, 53, 84]
Generated Node #2: [43, 53, 84] from Operation: 44+40=84
Current State: 74:[43, 53, 84], Operations: ['44+40=84']
Exploring Operation: 53-43=10, Resulting Numbers: [84, 10]
Generated Node #3: [84, 10] from Operation: 53-43=10
Current State: 74:[84, 10], Operations: ['44+40=84', '53-43=10']
Exploring Operation: 84-10=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[44, 40, 43, 53], Operations: []
Exploring Operation: 53-44=9, Resulting Numbers: [40, 43, 9]
Generated Node #0,0: 74:[40, 43, 9] Operation: 53-44=9
Exploring Operation: 53-43=10, Resulting Numbers: [44, 40, 10]
Generated Node #0,1: 74:[44, 40, 10] Operation: 53-43=10
Moving to Node #0,0
Current State: 74:[40, 43, 9], Operations: ['53-44=9']
Exploring Operation: 43-9=34, Resulting Numbers: [40, 34]
Generated Node #0,0,0: 74:[40, 34] Operation: 43-9=34
Exploring Operation: 43-40=3, Resulting Numbers: [9, 3]
Generated Node #0,0,1: 74:[9, 3] Operation: 43-40=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[40, 34], Operations: ['53-44=9', '43-9=34']
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[44, 40, 43, 53], Operations: []
Exploring Operation: 53-44=9, Resulting Numbers: [40, 43, 9]
Generated Node #0,0: 74:[40, 43, 9] Operation: 53-44=9
Moving to Node #0,0
Current State: 74:[40, 43, 9], Operations: ['53-44=9']
Exploring Operation: 43-9=34, Resulting Numbers: [40, 34]
Generated Node #0,0,0: 74:[40, 34] Operation: 43-9=34
Moving to Node #0,0,0
Current State: 74:[40, 34], Operations: ['53-44=9', '43-9=34']
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
60,
13,
11,
4
] | 36 | [
"13+11=24",
"4*24=96",
"96-60=36"
] | Current State: 36:[60, 13, 11, 4], Operations: []
Exploring Operation: 13+11=24, Resulting Numbers: [60, 4, 24]
Generated Node #2: [60, 4, 24] from Operation: 13+11=24
Current State: 36:[60, 4, 24], Operations: ['13+11=24']
Exploring Operation: 4*24=96, Resulting Numbers: [60, 96]
Generated Node #3: [60, 96] from Operation: 4*24=96
Current State: 36:[60, 96], Operations: ['13+11=24', '4*24=96']
Exploring Operation: 96-60=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[60, 13, 11, 4], Operations: []
Exploring Operation: 60-13=47, Resulting Numbers: [11, 4, 47]
Generated Node #0,0: 36:[11, 4, 47] Operation: 60-13=47
Exploring Operation: 60/4=15, Resulting Numbers: [13, 11, 15]
Generated Node #0,1: 36:[13, 11, 15] Operation: 60/4=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[13, 11, 15], Operations: ['60/4=15']
Exploring Operation: 15-13=2, Resulting Numbers: [11, 2]
Generated Node #0,1,0: 36:[11, 2] Operation: 15-13=2
Exploring Operation: 15-11=4, Resulting Numbers: [13, 4]
Generated Node #0,1,1: 36:[13, 4] Operation: 15-11=4
Moving to Node #0,1,0
Current State: 36:[11, 2], Operations: ['60/4=15', '15-13=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[13, 4], Operations: ['60/4=15', '15-11=4']
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,36 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
Current State: 36:[11, 4, 47], Operations: ['60-13=47']
Exploring Operation: 47-11=36, Resulting Numbers: [4, 36]
Generated Node #0,0,0: 36:[4, 36] Operation: 47-11=36
Exploring Operation: 47-4=43, Resulting Numbers: [11, 43]
Generated Node #0,0,1: 36:[11, 43] Operation: 47-4=43
Moving to Node #0,0,0
Current State: 36:[4, 36], Operations: ['60-13=47', '47-11=36']
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[11, 43], Operations: ['60-13=47', '47-4=43']
Exploring Operation: 11+43=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
98,
96,
97,
94
] | 95 | [
"98+94=192",
"192/96=2",
"97-2=95"
] | Current State: 95:[98, 96, 97, 94], Operations: []
Exploring Operation: 98+94=192, Resulting Numbers: [96, 97, 192]
Generated Node #2: [96, 97, 192] from Operation: 98+94=192
Current State: 95:[96, 97, 192], Operations: ['98+94=192']
Exploring Operation: 192/96=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 192/96=2
Current State: 95:[97, 2], Operations: ['98+94=192', '192/96=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[98, 96, 97, 94], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [96, 97, 4]
Generated Node #0,0: 95:[96, 97, 4] Operation: 98-94=4
Exploring Operation: 98-97=1, Resulting Numbers: [96, 94, 1]
Generated Node #0,1: 95:[96, 94, 1] Operation: 98-97=1
Exploring Operation: 98-96=2, Resulting Numbers: [97, 94, 2]
Generated Node #0,2: 95:[97, 94, 2] Operation: 98-96=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[96, 97, 4], Operations: ['98-94=4']
Exploring Operation: 96-4=92, Resulting Numbers: [97, 92]
Generated Node #0,0,0: 95:[97, 92] Operation: 96-4=92
Exploring Operation: 97-96=1, Resulting Numbers: [4, 1]
Generated Node #0,0,1: 95:[4, 1] Operation: 97-96=1
Exploring Operation: 97-4=93, Resulting Numbers: [96, 93]
Generated Node #0,0,2: 95:[96, 93] Operation: 97-4=93
Moving to Node #0,0,2
Current State: 95:[96, 93], Operations: ['98-94=4', '97-4=93']
Exploring Operation: 96+93=189, Resulting Numbers: [189]
189,95 unequal: No Solution
Exploring Operation: 96*93=8928, Resulting Numbers: [8928]
8928,95 unequal: No Solution
Exploring Operation: 96-93=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[97, 92], Operations: ['98-94=4', '96-4=92']
Exploring Operation: 97-92=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 97*92=8924, Resulting Numbers: [8924]
8924,95 unequal: No Solution
Exploring Operation: 97+92=189, Resulting Numbers: [189]
189,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[4, 1], Operations: ['98-94=4', '97-96=1']
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,95 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
Current State: 95:[96, 94, 1], Operations: ['98-97=1']
Exploring Operation: 96*1=96, Resulting Numbers: [94, 96]
Generated Node #0,1,0: 95:[94, 96] Operation: 96*1=96
Exploring Operation: 96-1=95, Resulting Numbers: [94, 95]
Generated Node #0,1,1: 95:[94, 95] Operation: 96-1=95
Exploring Operation: 94+1=95, Resulting Numbers: [96, 95]
Generated Node #0,1,2: 95:[96, 95] Operation: 94+1=95
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 95:[94, 95], Operations: ['98-97=1', '96-1=95']
Exploring Operation: 94*95=8930, Resulting Numbers: [8930]
8930,95 unequal: No Solution
Exploring Operation: 94+95=189, Resulting Numbers: [189]
189,95 unequal: No Solution
Exploring Operation: 95-94=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No 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: 95:[96, 95], Operations: ['98-97=1', '94+1=95']
Exploring Operation: 96-95=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 96+95=191, Resulting Numbers: [191]
191,95 unequal: No Solution
Exploring Operation: 96*95=9120, Resulting Numbers: [9120]
9120,95 unequal: No Solution
No 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: 95:[94, 96], Operations: ['98-97=1', '96*1=96']
Exploring Operation: 94+96=190, Resulting Numbers: [190]
190,95 unequal: No Solution
Exploring Operation: 96-94=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 94*96=9024, Resulting Numbers: [9024]
9024,95 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: 95:[97, 94, 2], Operations: ['98-96=2']
Exploring Operation: 97-94=3, Resulting Numbers: [2, 3]
Generated Node #0,2,0: 95:[2, 3] Operation: 97-94=3
Exploring Operation: 94+2=96, Resulting Numbers: [97, 96]
Generated Node #0,2,1: 95:[97, 96] Operation: 94+2=96
Exploring Operation: 97-2=95, Resulting Numbers: [94, 95]
Generated Node #0,2,2: 95:[94, 95] Operation: 97-2=95
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 95:[94, 95], Operations: ['98-96=2', '97-2=95']
Exploring Operation: 94*95=8930, Resulting Numbers: [8930]
8930,95 unequal: No Solution
Exploring Operation: 94+95=189, Resulting Numbers: [189]
189,95 unequal: No Solution
Exploring Operation: 95-94=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No 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: 95:[97, 96], Operations: ['98-96=2', '94+2=96']
Exploring Operation: 97-96=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 97*96=9312, Resulting Numbers: [9312]
9312,95 unequal: No Solution
Exploring Operation: 97+96=193, Resulting Numbers: [193]
193,95 unequal: No Solution
No 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: 95:[2, 3], Operations: ['98-96=2', '97-94=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
70,
88,
90,
15
] | 100 | [
"90-88=2",
"15*2=30",
"70+30=100"
] | Current State: 100:[70, 88, 90, 15], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [70, 15, 2]
Generated Node #2: [70, 15, 2] from Operation: 90-88=2
Current State: 100:[70, 15, 2], Operations: ['90-88=2']
Exploring Operation: 15*2=30, Resulting Numbers: [70, 30]
Generated Node #3: [70, 30] from Operation: 15*2=30
Current State: 100:[70, 30], Operations: ['90-88=2', '15*2=30']
Exploring Operation: 70+30=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[70, 88, 90, 15], Operations: []
Exploring Operation: 88-70=18, Resulting Numbers: [90, 15, 18]
Generated Node #0,0: 100:[90, 15, 18] Operation: 88-70=18
Moving to Node #0,0
Current State: 100:[90, 15, 18], Operations: ['88-70=18']
Exploring Operation: 90/15=6, Resulting Numbers: [18, 6]
Generated Node #0,0,0: 100:[18, 6] Operation: 90/15=6
Moving to Node #0,0,0
Current State: 100:[18, 6], Operations: ['88-70=18', '90/15=6']
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,100 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
63,
8,
90,
43
] | 78 | [
"63-8=55",
"90+43=133",
"133-55=78"
] | Current State: 78:[63, 8, 90, 43], Operations: []
Exploring Operation: 63-8=55, Resulting Numbers: [90, 43, 55]
Generated Node #2: [90, 43, 55] from Operation: 63-8=55
Current State: 78:[90, 43, 55], Operations: ['63-8=55']
Exploring Operation: 90+43=133, Resulting Numbers: [55, 133]
Generated Node #3: [55, 133] from Operation: 90+43=133
Current State: 78:[55, 133], Operations: ['63-8=55', '90+43=133']
Exploring Operation: 133-55=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[63, 8, 90, 43], Operations: []
Exploring Operation: 90-43=47, Resulting Numbers: [63, 8, 47]
Generated Node #0,0: 78:[63, 8, 47] Operation: 90-43=47
Exploring Operation: 63+8=71, Resulting Numbers: [90, 43, 71]
Generated Node #0,1: 78:[90, 43, 71] Operation: 63+8=71
Exploring Operation: 90-63=27, Resulting Numbers: [8, 43, 27]
Generated Node #0,2: 78:[8, 43, 27] Operation: 90-63=27
Exploring Operation: 63-43=20, Resulting Numbers: [8, 90, 20]
Generated Node #0,3: 78:[8, 90, 20] Operation: 63-43=20
Exploring Operation: 90-8=82, Resulting Numbers: [63, 43, 82]
Generated Node #0,4: 78:[63, 43, 82] Operation: 90-8=82
Moving to Node #0,2
Current State: 78:[8, 43, 27], Operations: ['90-63=27']
Exploring Operation: 43-27=16, Resulting Numbers: [8, 16]
Generated Node #0,2,0: 78:[8, 16] Operation: 43-27=16
Exploring Operation: 27-8=19, Resulting Numbers: [43, 19]
Generated Node #0,2,1: 78:[43, 19] Operation: 27-8=19
Exploring Operation: 43+27=70, Resulting Numbers: [8, 70]
Generated Node #0,2,2: 78:[8, 70] Operation: 43+27=70
Exploring Operation: 8+27=35, Resulting Numbers: [43, 35]
Generated Node #0,2,3: 78:[43, 35] Operation: 8+27=35
Exploring Operation: 43-8=35, Resulting Numbers: [27, 35]
Generated Node #0,2,4: 78:[27, 35] Operation: 43-8=35
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 78:[8, 16], Operations: ['90-63=27', '43-27=16']
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 8+16=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 8*16=128, Resulting Numbers: [128]
128,78 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,78 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 #0,2,4
Current State: 78:[27, 35], Operations: ['90-63=27', '43-8=35']
Exploring Operation: 27*35=945, Resulting Numbers: [945]
945,78 unequal: No Solution
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,78 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 #0,2,3
Current State: 78:[43, 35], Operations: ['90-63=27', '8+27=35']
Exploring Operation: 43*35=1505, Resulting Numbers: [1505]
1505,78 unequal: No Solution
Exploring Operation: 43-35=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 43+35=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[63, 8, 90, 43], Operations: []
Exploring Operation: 90-63=27, Resulting Numbers: [8, 43, 27]
Generated Node #0,2: 78:[8, 43, 27] Operation: 90-63=27
Moving to Node #0,2
Current State: 78:[8, 43, 27], Operations: ['90-63=27']
Exploring Operation: 8+27=35, Resulting Numbers: [43, 35]
Generated Node #0,2,3: 78:[43, 35] Operation: 8+27=35
Moving to Node #0,2,3
Current State: 78:[43, 35], Operations: ['90-63=27', '8+27=35']
Exploring Operation: 43+35=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_5 | mult_heuristic |
[
5,
28,
88,
6
] | 16 | [
"5+28=33",
"88*6=528",
"528/33=16"
] | Current State: 16:[5, 28, 88, 6], Operations: []
Exploring Operation: 5+28=33, Resulting Numbers: [88, 6, 33]
Generated Node #2: [88, 6, 33] from Operation: 5+28=33
Current State: 16:[88, 6, 33], Operations: ['5+28=33']
Exploring Operation: 88*6=528, Resulting Numbers: [33, 528]
Generated Node #3: [33, 528] from Operation: 88*6=528
Current State: 16:[33, 528], Operations: ['5+28=33', '88*6=528']
Exploring Operation: 528/33=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[5, 28, 88, 6], Operations: []
Exploring Operation: 28-5=23, Resulting Numbers: [88, 6, 23]
Generated Node #0,0: 16:[88, 6, 23] Operation: 28-5=23
Exploring Operation: 88-28=60, Resulting Numbers: [5, 6, 60]
Generated Node #0,1: 16:[5, 6, 60] Operation: 88-28=60
Exploring Operation: 88-5=83, Resulting Numbers: [28, 6, 83]
Generated Node #0,2: 16:[28, 6, 83] Operation: 88-5=83
Exploring Operation: 28-6=22, Resulting Numbers: [5, 88, 22]
Generated Node #0,3: 16:[5, 88, 22] Operation: 28-6=22
Exploring Operation: 88-6=82, Resulting Numbers: [5, 28, 82]
Generated Node #0,4: 16:[5, 28, 82] Operation: 88-6=82
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[5, 6, 60], Operations: ['88-28=60']
Exploring Operation: 60/6=10, Resulting Numbers: [5, 10]
Generated Node #0,1,0: 16:[5, 10] Operation: 60/6=10
Exploring Operation: 60/5=12, Resulting Numbers: [6, 12]
Generated Node #0,1,1: 16:[6, 12] Operation: 60/5=12
Exploring Operation: 60-6=54, Resulting Numbers: [5, 54]
Generated Node #0,1,2: 16:[5, 54] Operation: 60-6=54
Exploring Operation: 6-5=1, Resulting Numbers: [60, 1]
Generated Node #0,1,3: 16:[60, 1] Operation: 6-5=1
Exploring Operation: 60-5=55, Resulting Numbers: [6, 55]
Generated Node #0,1,4: 16:[6, 55] Operation: 60-5=55
Moving to Node #0,1,0
Current State: 16:[5, 10], Operations: ['88-28=60', '60/6=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,16 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[6, 12], Operations: ['88-28=60', '60/5=12']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,16 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[5, 54], Operations: ['88-28=60', '60-6=54']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 5*54=270, Resulting Numbers: [270]
270,16 unequal: No Solution
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Moving to Node #0,1,4
Current State: 16:[6, 55], Operations: ['88-28=60', '60-5=55']
Exploring Operation: 6*55=330, Resulting Numbers: [330]
330,16 unequal: No Solution
Exploring Operation: 6+55=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[60, 1], Operations: ['88-28=60', '6-5=1']
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 60*1=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 60+1=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 16:[5, 88, 22], Operations: ['28-6=22']
Exploring Operation: 88/22=4, Resulting Numbers: [5, 4]
Generated Node #0,3,0: 16:[5, 4] Operation: 88/22=4
Exploring Operation: 88-5=83, Resulting Numbers: [22, 83]
Generated Node #0,3,1: 16:[22, 83] Operation: 88-5=83
Exploring Operation: 88-22=66, Resulting Numbers: [5, 66]
Generated Node #0,3,2: 16:[5, 66] Operation: 88-22=66
Exploring Operation: 5+88=93, Resulting Numbers: [22, 93]
Generated Node #0,3,3: 16:[22, 93] Operation: 5+88=93
Exploring Operation: 22-5=17, Resulting Numbers: [88, 17]
Generated Node #0,3,4: 16:[88, 17] Operation: 22-5=17
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 16:[5, 4], Operations: ['28-6=22', '88/22=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,16 unequal: No Solution
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
No 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: 16:[5, 66], Operations: ['28-6=22', '88-22=66']
Exploring Operation: 5+66=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 5*66=330, Resulting Numbers: [330]
330,16 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,16 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 #0,3,1
Current State: 16:[22, 83], Operations: ['28-6=22', '88-5=83']
Exploring Operation: 83-22=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 22+83=105, Resulting Numbers: [105]
105,16 unequal: No Solution
Exploring Operation: 22*83=1826, Resulting Numbers: [1826]
1826,16 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 #0,3,4
Current State: 16:[88, 17], Operations: ['28-6=22', '22-5=17']
Exploring Operation: 88+17=105, Resulting Numbers: [105]
105,16 unequal: No Solution
Exploring Operation: 88*17=1496, Resulting Numbers: [1496]
1496,16 unequal: No Solution
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,16 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 #0,3,3
Current State: 16:[22, 93], Operations: ['28-6=22', '5+88=93']
Exploring Operation: 22+93=115, Resulting Numbers: [115]
115,16 unequal: No Solution
Exploring Operation: 93-22=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 22*93=2046, Resulting Numbers: [2046]
2046,16 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 #0,4
Current State: 16:[5, 28, 82], Operations: ['88-6=82']
Exploring Operation: 5+28=33, Resulting Numbers: [82, 33]
Generated Node #0,4,0: 16:[82, 33] Operation: 5+28=33
Exploring Operation: 5+82=87, Resulting Numbers: [28, 87]
Generated Node #0,4,1: 16:[28, 87] Operation: 5+82=87
Exploring Operation: 82-5=77, Resulting Numbers: [28, 77]
Generated Node #0,4,2: 16:[28, 77] Operation: 82-5=77
Exploring Operation: 28-5=23, Resulting Numbers: [82, 23]
Generated Node #0,4,3: 16:[82, 23] Operation: 28-5=23
Exploring Operation: 82-28=54, Resulting Numbers: [5, 54]
Generated Node #0,4,4: 16:[5, 54] Operation: 82-28=54
Moving to Node #0,4,4
Current State: 16:[5, 54], Operations: ['88-6=82', '82-28=54']
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 5*54=270, Resulting Numbers: [270]
270,16 unequal: No Solution
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Moving to Node #0,4,3
Current State: 16:[82, 23], Operations: ['88-6=82', '28-5=23']
Exploring Operation: 82+23=105, Resulting Numbers: [105]
105,16 unequal: No Solution
Exploring Operation: 82*23=1886, Resulting Numbers: [1886]
1886,16 unequal: No Solution
Exploring Operation: 82-23=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Moving to Node #0,4,2
Current State: 16:[28, 77], Operations: ['88-6=82', '82-5=77']
Exploring Operation: 28+77=105, Resulting Numbers: [105]
105,16 unequal: No Solution
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 28*77=2156, Resulting Numbers: [2156]
2156,16 unequal: No Solution
Moving to Node #0,4,0
Current State: 16:[82, 33], Operations: ['88-6=82', '5+28=33']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 82+33=115, Resulting Numbers: [115]
115,16 unequal: No Solution
Exploring Operation: 82*33=2706, Resulting Numbers: [2706]
2706,16 unequal: No Solution
Moving to Node #0,4,1
Current State: 16:[28, 87], Operations: ['88-6=82', '5+82=87']
Exploring Operation: 28*87=2436, Resulting Numbers: [2436]
2436,16 unequal: No Solution
Exploring Operation: 28+87=115, Resulting Numbers: [115]
115,16 unequal: No Solution
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[88, 6, 23], Operations: ['28-5=23']
Exploring Operation: 88-6=82, Resulting Numbers: [23, 82]
Generated Node #0,0,0: 16:[23, 82] Operation: 88-6=82
Exploring Operation: 23-6=17, Resulting Numbers: [88, 17]
Generated Node #0,0,1: 16:[88, 17] Operation: 23-6=17
Exploring Operation: 88+6=94, Resulting Numbers: [23, 94]
Generated Node #0,0,2: 16:[23, 94] Operation: 88+6=94
Exploring Operation: 6+23=29, Resulting Numbers: [88, 29]
Generated Node #0,0,3: 16:[88, 29] Operation: 6+23=29
Exploring Operation: 88-23=65, Resulting Numbers: [6, 65]
Generated Node #0,0,4: 16:[6, 65] Operation: 88-23=65
Moving to Node #0,0,4
Current State: 16:[6, 65], Operations: ['28-5=23', '88-23=65']
Exploring Operation: 6*65=390, Resulting Numbers: [390]
390,16 unequal: No Solution
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 6+65=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[88, 17], Operations: ['28-5=23', '23-6=17']
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 88*17=1496, Resulting Numbers: [1496]
1496,16 unequal: No Solution
Exploring Operation: 88+17=105, Resulting Numbers: [105]
105,16 unequal: No Solution
Moving to Node #0,0,0
Current State: 16:[23, 82], Operations: ['28-5=23', '88-6=82']
Exploring Operation: 23+82=105, Resulting Numbers: [105]
105,16 unequal: No Solution
Exploring Operation: 23*82=1886, Resulting Numbers: [1886]
1886,16 unequal: No Solution
Exploring Operation: 82-23=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Moving to Node #0,0,2
Current State: 16:[23, 94], Operations: ['28-5=23', '88+6=94']
Exploring Operation: 94-23=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 23*94=2162, Resulting Numbers: [2162]
2162,16 unequal: No Solution
Exploring Operation: 23+94=117, Resulting Numbers: [117]
117,16 unequal: No Solution
Moving to Node #0,0,3
Current State: 16:[88, 29], Operations: ['28-5=23', '6+23=29']
Exploring Operation: 88-29=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 88*29=2552, Resulting Numbers: [2552]
2552,16 unequal: No Solution
Exploring Operation: 88+29=117, Resulting Numbers: [117]
117,16 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 #0,2
Current State: 16:[28, 6, 83], Operations: ['88-5=83']
Exploring Operation: 28-6=22, Resulting Numbers: [83, 22]
Generated Node #0,2,0: 16:[83, 22] Operation: 28-6=22
Exploring Operation: 6+83=89, Resulting Numbers: [28, 89]
Generated Node #0,2,1: 16:[28, 89] Operation: 6+83=89
Exploring Operation: 83-6=77, Resulting Numbers: [28, 77]
Generated Node #0,2,2: 16:[28, 77] Operation: 83-6=77
Exploring Operation: 28+6=34, Resulting Numbers: [83, 34]
Generated Node #0,2,3: 16:[83, 34] Operation: 28+6=34
Exploring Operation: 83-28=55, Resulting Numbers: [6, 55]
Generated Node #0,2,4: 16:[6, 55] Operation: 83-28=55
Moving to Node #0,2,4
Current State: 16:[6, 55], Operations: ['88-5=83', '83-28=55']
Exploring Operation: 6+55=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 6*55=330, Resulting Numbers: [330]
330,16 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Moving to Node #0,2,2
Current State: 16:[28, 77], Operations: ['88-5=83', '83-6=77']
Exploring Operation: 28+77=105, Resulting Numbers: [105]
105,16 unequal: No Solution
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 28*77=2156, Resulting Numbers: [2156]
2156,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[83, 22], Operations: ['88-5=83', '28-6=22']
Exploring Operation: 83+22=105, Resulting Numbers: [105]
105,16 unequal: No Solution
Exploring Operation: 83-22=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 83*22=1826, Resulting Numbers: [1826]
1826,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[28, 89], Operations: ['88-5=83', '6+83=89']
Exploring Operation: 28+89=117, Resulting Numbers: [117]
117,16 unequal: No Solution
Exploring Operation: 28*89=2492, Resulting Numbers: [2492]
2492,16 unequal: No Solution
Exploring Operation: 89-28=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Moving to Node #0,2,3
Current State: 16:[83, 34], Operations: ['88-5=83', '28+6=34']
Exploring Operation: 83-34=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 83+34=117, Resulting Numbers: [117]
117,16 unequal: No Solution
Exploring Operation: 83*34=2822, Resulting Numbers: [2822]
2822,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
86,
47,
17,
17
] | 99 | [
"86+47=133",
"17+17=34",
"133-34=99"
] | Current State: 99:[86, 47, 17, 17], Operations: []
Exploring Operation: 86+47=133, Resulting Numbers: [17, 17, 133]
Generated Node #2: [17, 17, 133] from Operation: 86+47=133
Current State: 99:[17, 17, 133], Operations: ['86+47=133']
Exploring Operation: 17+17=34, Resulting Numbers: [133, 34]
Generated Node #3: [133, 34] from Operation: 17+17=34
Current State: 99:[133, 34], Operations: ['86+47=133', '17+17=34']
Exploring Operation: 133-34=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[86, 47, 17, 17], Operations: []
Exploring Operation: 47-17=30, Resulting Numbers: [86, 17, 30]
Generated Node #0,0: 99:[86, 17, 30] Operation: 47-17=30
Exploring Operation: 86-47=39, Resulting Numbers: [17, 17, 39]
Generated Node #0,1: 99:[17, 17, 39] Operation: 86-47=39
Exploring Operation: 47-17=30, Resulting Numbers: [86, 17, 30]
Generated Node #0,2: 99:[86, 17, 30] Operation: 47-17=30
Moving to Node #0,1
Current State: 99:[17, 17, 39], Operations: ['86-47=39']
Exploring Operation: 17+17=34, Resulting Numbers: [39, 34]
Generated Node #0,1,0: 99:[39, 34] Operation: 17+17=34
Exploring Operation: 17-17=0, Resulting Numbers: [39, 0]
Generated Node #0,1,1: 99:[39, 0] Operation: 17-17=0
Exploring Operation: 17/17=1, Resulting Numbers: [39, 1]
Generated Node #0,1,2: 99:[39, 1] Operation: 17/17=1
Moving to Node #0,0
Current State: 99:[86, 17, 30], Operations: ['47-17=30']
Exploring Operation: 86+30=116, Resulting Numbers: [17, 116]
Generated Node #0,0,0: 99:[17, 116] Operation: 86+30=116
Exploring Operation: 30-17=13, Resulting Numbers: [86, 13]
Generated Node #0,0,1: 99:[86, 13] Operation: 30-17=13
Exploring Operation: 86+17=103, Resulting Numbers: [30, 103]
Generated Node #0,0,2: 99:[30, 103] Operation: 86+17=103
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 99:[30, 103], Operations: ['47-17=30', '86+17=103']
Exploring Operation: 103-30=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 30+103=133, Resulting Numbers: [133]
133,99 unequal: No Solution
Exploring Operation: 30*103=3090, Resulting Numbers: [3090]
3090,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 99:[86, 13], Operations: ['47-17=30', '30-17=13']
Exploring Operation: 86+13=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[86, 47, 17, 17], Operations: []
Exploring Operation: 47-17=30, Resulting Numbers: [86, 17, 30]
Generated Node #0,0: 99:[86, 17, 30] Operation: 47-17=30
Moving to Node #0,0
Current State: 99:[86, 17, 30], Operations: ['47-17=30']
Exploring Operation: 30-17=13, Resulting Numbers: [86, 13]
Generated Node #0,0,1: 99:[86, 13] Operation: 30-17=13
Moving to Node #0,0,1
Current State: 99:[86, 13], Operations: ['47-17=30', '30-17=13']
Exploring Operation: 86+13=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
5,
50,
1,
29
] | 17 | [
"50-5=45",
"29-1=28",
"45-28=17"
] | Current State: 17:[5, 50, 1, 29], Operations: []
Exploring Operation: 50-5=45, Resulting Numbers: [1, 29, 45]
Generated Node #2: [1, 29, 45] from Operation: 50-5=45
Current State: 17:[1, 29, 45], Operations: ['50-5=45']
Exploring Operation: 29-1=28, Resulting Numbers: [45, 28]
Generated Node #3: [45, 28] from Operation: 29-1=28
Current State: 17:[45, 28], Operations: ['50-5=45', '29-1=28']
Exploring Operation: 45-28=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[5, 50, 1, 29], Operations: []
Exploring Operation: 50-29=21, Resulting Numbers: [5, 1, 21]
Generated Node #0,0: 17:[5, 1, 21] Operation: 50-29=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[5, 1, 21], Operations: ['50-29=21']
Exploring Operation: 5+1=6, Resulting Numbers: [21, 6]
Generated Node #0,0,0: 17:[21, 6] Operation: 5+1=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[21, 6], Operations: ['50-29=21', '5+1=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,17 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 |
[
63,
65,
1,
48
] | 48 | [
"65-63=2",
"2-1=1",
"48*1=48"
] | Current State: 48:[63, 65, 1, 48], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [1, 48, 2]
Generated Node #2: [1, 48, 2] from Operation: 65-63=2
Current State: 48:[1, 48, 2], Operations: ['65-63=2']
Exploring Operation: 2-1=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 2-1=1
Current State: 48:[48, 1], Operations: ['65-63=2', '2-1=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[63, 65, 1, 48], Operations: []
Exploring Operation: 63-48=15, Resulting Numbers: [65, 1, 15]
Generated Node #0,0: 48:[65, 1, 15] Operation: 63-48=15
Exploring Operation: 65-48=17, Resulting Numbers: [63, 1, 17]
Generated Node #0,1: 48:[63, 1, 17] Operation: 65-48=17
Exploring Operation: 65-63=2, Resulting Numbers: [1, 48, 2]
Generated Node #0,2: 48:[1, 48, 2] Operation: 65-63=2
Moving to Node #0,2
Current State: 48:[1, 48, 2], Operations: ['65-63=2']
Exploring Operation: 1*48=48, Resulting Numbers: [2, 48]
Generated Node #0,2,0: 48:[2, 48] Operation: 1*48=48
Exploring Operation: 1+2=3, Resulting Numbers: [48, 3]
Generated Node #0,2,1: 48:[48, 3] Operation: 1+2=3
Exploring Operation: 48/1=48, Resulting Numbers: [2, 48]
Generated Node #0,2,2: 48:[2, 48] Operation: 48/1=48
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[2, 48], Operations: ['65-63=2', '1*48=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,48 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,48 unequal: No Solution
No 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: 48:[48, 3], Operations: ['65-63=2', '1+2=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,48 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,48 unequal: No Solution
No 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: 48:[2, 48], Operations: ['65-63=2', '48/1=48']
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,48 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,48 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,48 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: 48:[63, 1, 17], Operations: ['65-48=17']
Exploring Operation: 17-1=16, Resulting Numbers: [63, 16]
Generated Node #0,1,0: 48:[63, 16] Operation: 17-1=16
Exploring Operation: 63-17=46, Resulting Numbers: [1, 46]
Generated Node #0,1,1: 48:[1, 46] Operation: 63-17=46
Exploring Operation: 63-1=62, Resulting Numbers: [17, 62]
Generated Node #0,1,2: 48:[17, 62] Operation: 63-1=62
Moving to Node #0,0
Current State: 48:[65, 1, 15], Operations: ['63-48=15']
Exploring Operation: 65-1=64, Resulting Numbers: [15, 64]
Generated Node #0,0,0: 48:[15, 64] Operation: 65-1=64
Exploring Operation: 1+15=16, Resulting Numbers: [65, 16]
Generated Node #0,0,1: 48:[65, 16] Operation: 1+15=16
Exploring Operation: 65-15=50, Resulting Numbers: [1, 50]
Generated Node #0,0,2: 48:[1, 50] Operation: 65-15=50
Moving to Node #0,1,1
Current State: 48:[1, 46], Operations: ['65-48=17', '63-17=46']
Exploring Operation: 1+46=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,48 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[1, 50], Operations: ['63-48=15', '65-15=50']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 1*50=50, Resulting Numbers: [50]
50,48 unequal: No Solution
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[17, 62], Operations: ['65-48=17', '63-1=62']
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,48 unequal: No Solution
Exploring Operation: 17+62=79, Resulting Numbers: [79]
79,48 unequal: No Solution
Exploring Operation: 17*62=1054, Resulting Numbers: [1054]
1054,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[63, 16], Operations: ['65-48=17', '17-1=16']
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 63+16=79, Resulting Numbers: [79]
79,48 unequal: No Solution
Exploring Operation: 63*16=1008, Resulting Numbers: [1008]
1008,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[65, 16], Operations: ['63-48=15', '1+15=16']
Exploring Operation: 65*16=1040, Resulting Numbers: [1040]
1040,48 unequal: No Solution
Exploring Operation: 65+16=81, Resulting Numbers: [81]
81,48 unequal: No Solution
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[15, 64], Operations: ['63-48=15', '65-1=64']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,48 unequal: No Solution
Exploring Operation: 15*64=960, Resulting Numbers: [960]
960,48 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
45,
50,
37,
50
] | 82 | [
"45+50=95",
"50-37=13",
"95-13=82"
] | Current State: 82:[45, 50, 37, 50], Operations: []
Exploring Operation: 45+50=95, Resulting Numbers: [37, 95]
Generated Node #2: [37, 95] from Operation: 45+50=95
Current State: 82:[37, 95], Operations: ['45+50=95']
Exploring Operation: 50-37=13, Resulting Numbers: [95, 13]
Generated Node #3: [95, 13] from Operation: 50-37=13
Current State: 82:[95, 13], Operations: ['45+50=95', '50-37=13']
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[45, 50, 37, 50], Operations: []
Exploring Operation: 50/50=1, Resulting Numbers: [45, 37, 1]
Generated Node #0,0: 82:[45, 37, 1] Operation: 50/50=1
Exploring Operation: 50-45=5, Resulting Numbers: [37, 50, 5]
Generated Node #0,1: 82:[37, 50, 5] Operation: 50-45=5
Exploring Operation: 50-45=5, Resulting Numbers: [50, 37, 5]
Generated Node #0,2: 82:[50, 37, 5] Operation: 50-45=5
Exploring Operation: 45+37=82, Resulting Numbers: [50, 50, 82]
Generated Node #0,3: 82:[50, 50, 82] Operation: 45+37=82
Exploring Operation: 50-50=0, Resulting Numbers: [45, 37, 0]
Generated Node #0,4: 82:[45, 37, 0] Operation: 50-50=0
Moving to Node #0,0
Current State: 82:[45, 37, 1], Operations: ['50/50=1']
Exploring Operation: 45+37=82, Resulting Numbers: [1, 82]
Generated Node #0,0,0: 82:[1, 82] Operation: 45+37=82
Exploring Operation: 45-1=44, Resulting Numbers: [37, 44]
Generated Node #0,0,1: 82:[37, 44] Operation: 45-1=44
Exploring Operation: 45*1=45, Resulting Numbers: [37, 45]
Generated Node #0,0,2: 82:[37, 45] Operation: 45*1=45
Exploring Operation: 45-37=8, Resulting Numbers: [1, 8]
Generated Node #0,0,3: 82:[1, 8] Operation: 45-37=8
Exploring Operation: 37+1=38, Resulting Numbers: [45, 38]
Generated Node #0,0,4: 82:[45, 38] Operation: 37+1=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[1, 82], Operations: ['50/50=1', '45+37=82']
Exploring Operation: 1*82=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[45, 50, 37, 50], Operations: []
Exploring Operation: 50/50=1, Resulting Numbers: [45, 37, 1]
Generated Node #0,0: 82:[45, 37, 1] Operation: 50/50=1
Moving to Node #0,0
Current State: 82:[45, 37, 1], Operations: ['50/50=1']
Exploring Operation: 45+37=82, Resulting Numbers: [1, 82]
Generated Node #0,0,0: 82:[1, 82] Operation: 45+37=82
Moving to Node #0,0,0
Current State: 82:[1, 82], Operations: ['50/50=1', '45+37=82']
Exploring Operation: 1*82=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
85,
37,
1,
34
] | 82 | [
"85-37=48",
"1*34=34",
"48+34=82"
] | Current State: 82:[85, 37, 1, 34], Operations: []
Exploring Operation: 85-37=48, Resulting Numbers: [1, 34, 48]
Generated Node #2: [1, 34, 48] from Operation: 85-37=48
Current State: 82:[1, 34, 48], Operations: ['85-37=48']
Exploring Operation: 1*34=34, Resulting Numbers: [48, 34]
Generated Node #3: [48, 34] from Operation: 1*34=34
Current State: 82:[48, 34], Operations: ['85-37=48', '1*34=34']
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[85, 37, 1, 34], Operations: []
Exploring Operation: 85-1=84, Resulting Numbers: [37, 34, 84]
Generated Node #0,0: 82:[37, 34, 84] Operation: 85-1=84
Exploring Operation: 37-34=3, Resulting Numbers: [85, 1, 3]
Generated Node #0,1: 82:[85, 1, 3] Operation: 37-34=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[85, 1, 3], Operations: ['37-34=3']
Exploring Operation: 85-1=84, Resulting Numbers: [3, 84]
Generated Node #0,1,0: 82:[3, 84] Operation: 85-1=84
Exploring Operation: 85-3=82, Resulting Numbers: [1, 82]
Generated Node #0,1,1: 82:[1, 82] Operation: 85-3=82
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[1, 82], Operations: ['37-34=3', '85-3=82']
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[85, 37, 1, 34], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [85, 1, 3]
Generated Node #0,1: 82:[85, 1, 3] Operation: 37-34=3
Moving to Node #0,1
Current State: 82:[85, 1, 3], Operations: ['37-34=3']
Exploring Operation: 85-3=82, Resulting Numbers: [1, 82]
Generated Node #0,1,1: 82:[1, 82] Operation: 85-3=82
Moving to Node #0,1,1
Current State: 82:[1, 82], Operations: ['37-34=3', '85-3=82']
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
34,
59,
48,
94
] | 48 | [
"34+59=93",
"94-93=1",
"48*1=48"
] | Current State: 48:[34, 59, 48, 94], Operations: []
Exploring Operation: 34+59=93, Resulting Numbers: [48, 94, 93]
Generated Node #2: [48, 94, 93] from Operation: 34+59=93
Current State: 48:[48, 94, 93], Operations: ['34+59=93']
Exploring Operation: 94-93=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 94-93=1
Current State: 48:[48, 1], Operations: ['34+59=93', '94-93=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[34, 59, 48, 94], Operations: []
Exploring Operation: 94-34=60, Resulting Numbers: [59, 48, 60]
Generated Node #0,0: 48:[59, 48, 60] Operation: 94-34=60
Exploring Operation: 94-59=35, Resulting Numbers: [34, 48, 35]
Generated Node #0,1: 48:[34, 48, 35] Operation: 94-59=35
Exploring Operation: 94-48=46, Resulting Numbers: [34, 59, 46]
Generated Node #0,2: 48:[34, 59, 46] Operation: 94-48=46
Moving to Node #0,1
Current State: 48:[34, 48, 35], Operations: ['94-59=35']
Exploring Operation: 48-34=14, Resulting Numbers: [35, 14]
Generated Node #0,1,0: 48:[35, 14] Operation: 48-34=14
Exploring Operation: 35-34=1, Resulting Numbers: [48, 1]
Generated Node #0,1,1: 48:[48, 1] Operation: 35-34=1
Exploring Operation: 48-35=13, Resulting Numbers: [34, 13]
Generated Node #0,1,2: 48:[34, 13] Operation: 48-35=13
Moving to Node #0,0
Current State: 48:[59, 48, 60], Operations: ['94-34=60']
Exploring Operation: 60-59=1, Resulting Numbers: [48, 1]
Generated Node #0,0,0: 48:[48, 1] Operation: 60-59=1
Exploring Operation: 60-48=12, Resulting Numbers: [59, 12]
Generated Node #0,0,1: 48:[59, 12] Operation: 60-48=12
Exploring Operation: 59-48=11, Resulting Numbers: [60, 11]
Generated Node #0,0,2: 48:[60, 11] Operation: 59-48=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[48, 1], Operations: ['94-34=60', '60-59=1']
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[34, 59, 48, 94], Operations: []
Exploring Operation: 94-34=60, Resulting Numbers: [59, 48, 60]
Generated Node #0,0: 48:[59, 48, 60] Operation: 94-34=60
Moving to Node #0,0
Current State: 48:[59, 48, 60], Operations: ['94-34=60']
Exploring Operation: 60-59=1, Resulting Numbers: [48, 1]
Generated Node #0,0,0: 48:[48, 1] Operation: 60-59=1
Moving to Node #0,0,0
Current State: 48:[48, 1], Operations: ['94-34=60', '60-59=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
32,
6,
30,
80
] | 13 | [
"32-30=2",
"80-2=78",
"78/6=13"
] | Current State: 13:[32, 6, 30, 80], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [6, 80, 2]
Generated Node #2: [6, 80, 2] from Operation: 32-30=2
Current State: 13:[6, 80, 2], Operations: ['32-30=2']
Exploring Operation: 80-2=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 80-2=78
Current State: 13:[6, 78], Operations: ['32-30=2', '80-2=78']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[32, 6, 30, 80], Operations: []
Exploring Operation: 80-32=48, Resulting Numbers: [6, 30, 48]
Generated Node #0,0: 13:[6, 30, 48] Operation: 80-32=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[6, 30, 48], Operations: ['80-32=48']
Exploring Operation: 48-30=18, Resulting Numbers: [6, 18]
Generated Node #0,0,0: 13:[6, 18] Operation: 48-30=18
Moving to Node #0,0,0
Current State: 13:[6, 18], Operations: ['80-32=48', '48-30=18']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,13 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 |
[
74,
91,
65,
30
] | 32 | [
"91*30=2730",
"2730/65=42",
"74-42=32"
] | Current State: 32:[74, 91, 65, 30], Operations: []
Exploring Operation: 91*30=2730, Resulting Numbers: [74, 65, 2730]
Generated Node #2: [74, 65, 2730] from Operation: 91*30=2730
Current State: 32:[74, 65, 2730], Operations: ['91*30=2730']
Exploring Operation: 2730/65=42, Resulting Numbers: [74, 42]
Generated Node #3: [74, 42] from Operation: 2730/65=42
Current State: 32:[74, 42], Operations: ['91*30=2730', '2730/65=42']
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[74, 91, 65, 30], Operations: []
Exploring Operation: 91-74=17, Resulting Numbers: [65, 30, 17]
Generated Node #0,0: 32:[65, 30, 17] Operation: 91-74=17
Moving to Node #0,0
Current State: 32:[65, 30, 17], Operations: ['91-74=17']
Exploring Operation: 65-30=35, Resulting Numbers: [17, 35]
Generated Node #0,0,0: 32:[17, 35] Operation: 65-30=35
Moving to Node #0,0,0
Current State: 32:[17, 35], Operations: ['91-74=17', '65-30=35']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,32 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
14,
80,
99,
11
] | 47 | [
"14-11=3",
"99/3=33",
"80-33=47"
] | Current State: 47:[14, 80, 99, 11], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [80, 99, 3]
Generated Node #2: [80, 99, 3] from Operation: 14-11=3
Current State: 47:[80, 99, 3], Operations: ['14-11=3']
Exploring Operation: 99/3=33, Resulting Numbers: [80, 33]
Generated Node #3: [80, 33] from Operation: 99/3=33
Current State: 47:[80, 33], Operations: ['14-11=3', '99/3=33']
Exploring Operation: 80-33=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[14, 80, 99, 11], Operations: []
Exploring Operation: 80-14=66, Resulting Numbers: [99, 11, 66]
Generated Node #0,0: 47:[99, 11, 66] Operation: 80-14=66
Exploring Operation: 99/11=9, Resulting Numbers: [14, 80, 9]
Generated Node #0,1: 47:[14, 80, 9] Operation: 99/11=9
Exploring Operation: 99-80=19, Resulting Numbers: [14, 11, 19]
Generated Node #0,2: 47:[14, 11, 19] Operation: 99-80=19
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[14, 11, 19], Operations: ['99-80=19']
Exploring Operation: 11+19=30, Resulting Numbers: [14, 30]
Generated Node #0,2,0: 47:[14, 30] Operation: 11+19=30
Exploring Operation: 14+11=25, Resulting Numbers: [19, 25]
Generated Node #0,2,1: 47:[19, 25] Operation: 14+11=25
Exploring Operation: 14+19=33, Resulting Numbers: [11, 33]
Generated Node #0,2,2: 47:[11, 33] Operation: 14+19=33
Moving to Node #0,2,0
Current State: 47:[14, 30], Operations: ['99-80=19', '11+19=30']
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,47 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,47 unequal: No Solution
Moving to Node #0,2,1
Current State: 47:[19, 25], Operations: ['99-80=19', '14+11=25']
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Exploring Operation: 19+25=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 19*25=475, Resulting Numbers: [475]
475,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[11, 33], Operations: ['99-80=19', '14+19=33']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Exploring Operation: 11+33=44, Resulting Numbers: [44]
44,47 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
Current State: 47:[14, 80, 9], Operations: ['99/11=9']
Exploring Operation: 14+9=23, Resulting Numbers: [80, 23]
Generated Node #0,1,0: 47:[80, 23] Operation: 14+9=23
Exploring Operation: 80-14=66, Resulting Numbers: [9, 66]
Generated Node #0,1,1: 47:[9, 66] Operation: 80-14=66
Exploring Operation: 80-9=71, Resulting Numbers: [14, 71]
Generated Node #0,1,2: 47:[14, 71] Operation: 80-9=71
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[80, 23], Operations: ['99/11=9', '14+9=23']
Exploring Operation: 80*23=1840, Resulting Numbers: [1840]
1840,47 unequal: No Solution
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 80+23=103, Resulting Numbers: [103]
103,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[9, 66], Operations: ['99/11=9', '80-14=66']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,47 unequal: No Solution
Exploring Operation: 9*66=594, Resulting Numbers: [594]
594,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 47:[14, 71], Operations: ['99/11=9', '80-9=71']
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 14*71=994, Resulting Numbers: [994]
994,47 unequal: No Solution
Exploring Operation: 14+71=85, Resulting Numbers: [85]
85,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[99, 11, 66], Operations: ['80-14=66']
Exploring Operation: 99-66=33, Resulting Numbers: [11, 33]
Generated Node #0,0,0: 47:[11, 33] Operation: 99-66=33
Exploring Operation: 99-11=88, Resulting Numbers: [66, 88]
Generated Node #0,0,1: 47:[66, 88] Operation: 99-11=88
Exploring Operation: 99/11=9, Resulting Numbers: [66, 9]
Generated Node #0,0,2: 47:[66, 9] Operation: 99/11=9
Moving to Node #0,0,0
Current State: 47:[11, 33], Operations: ['80-14=66', '99-66=33']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 11+33=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[66, 9], Operations: ['80-14=66', '99/11=9']
Exploring Operation: 66+9=75, Resulting Numbers: [75]
75,47 unequal: No Solution
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 66*9=594, Resulting Numbers: [594]
594,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[66, 88], Operations: ['80-14=66', '99-11=88']
Exploring Operation: 66+88=154, Resulting Numbers: [154]
154,47 unequal: No Solution
Exploring Operation: 88-66=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 66*88=5808, Resulting Numbers: [5808]
5808,47 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 |
[
36,
5,
32,
23
] | 95 | [
"36-32=4",
"23-4=19",
"5*19=95"
] | Current State: 95:[36, 5, 32, 23], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [5, 23, 4]
Generated Node #2: [5, 23, 4] from Operation: 36-32=4
Current State: 95:[5, 23, 4], Operations: ['36-32=4']
Exploring Operation: 23-4=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 23-4=19
Current State: 95:[5, 19], Operations: ['36-32=4', '23-4=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[36, 5, 32, 23], Operations: []
Exploring Operation: 36-23=13, Resulting Numbers: [5, 32, 13]
Generated Node #0,0: 95:[5, 32, 13] Operation: 36-23=13
Exploring Operation: 36-5=31, Resulting Numbers: [32, 23, 31]
Generated Node #0,1: 95:[32, 23, 31] Operation: 36-5=31
Exploring Operation: 36-32=4, Resulting Numbers: [5, 23, 4]
Generated Node #0,2: 95:[5, 23, 4] Operation: 36-32=4
Exploring Operation: 32-23=9, Resulting Numbers: [36, 5, 9]
Generated Node #0,3: 95:[36, 5, 9] Operation: 32-23=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[5, 23, 4], Operations: ['36-32=4']
Exploring Operation: 5*4=20, Resulting Numbers: [23, 20]
Generated Node #0,2,0: 95:[23, 20] Operation: 5*4=20
Exploring Operation: 23*4=92, Resulting Numbers: [5, 92]
Generated Node #0,2,1: 95:[5, 92] Operation: 23*4=92
Exploring Operation: 23-5=18, Resulting Numbers: [4, 18]
Generated Node #0,2,2: 95:[4, 18] Operation: 23-5=18
Exploring Operation: 23-4=19, Resulting Numbers: [5, 19]
Generated Node #0,2,3: 95:[5, 19] Operation: 23-4=19
Moving to Node #0,2,3
Current State: 95:[5, 19], Operations: ['36-32=4', '23-4=19']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[36, 5, 32, 23], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [5, 23, 4]
Generated Node #0,2: 95:[5, 23, 4] Operation: 36-32=4
Moving to Node #0,2
Current State: 95:[5, 23, 4], Operations: ['36-32=4']
Exploring Operation: 23-4=19, Resulting Numbers: [5, 19]
Generated Node #0,2,3: 95:[5, 19] Operation: 23-4=19
Moving to Node #0,2,3
Current State: 95:[5, 19], Operations: ['36-32=4', '23-4=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
72,
94,
33,
28
] | 70 | [
"94-28=66",
"66/33=2",
"72-2=70"
] | Current State: 70:[72, 94, 33, 28], Operations: []
Exploring Operation: 94-28=66, Resulting Numbers: [72, 33, 66]
Generated Node #2: [72, 33, 66] from Operation: 94-28=66
Current State: 70:[72, 33, 66], Operations: ['94-28=66']
Exploring Operation: 66/33=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 66/33=2
Current State: 70:[72, 2], Operations: ['94-28=66', '66/33=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[72, 94, 33, 28], Operations: []
Exploring Operation: 94-72=22, Resulting Numbers: [33, 28, 22]
Generated Node #0,0: 70:[33, 28, 22] Operation: 94-72=22
Exploring Operation: 94-33=61, Resulting Numbers: [72, 28, 61]
Generated Node #0,1: 70:[72, 28, 61] Operation: 94-33=61
Exploring Operation: 94-28=66, Resulting Numbers: [72, 33, 66]
Generated Node #0,2: 70:[72, 33, 66] Operation: 94-28=66
Moving to Node #0,2
Current State: 70:[72, 33, 66], Operations: ['94-28=66']
Exploring Operation: 72-66=6, Resulting Numbers: [33, 6]
Generated Node #0,2,0: 70:[33, 6] Operation: 72-66=6
Exploring Operation: 66/33=2, Resulting Numbers: [72, 2]
Generated Node #0,2,1: 70:[72, 2] Operation: 66/33=2
Exploring Operation: 66-33=33, Resulting Numbers: [72, 33]
Generated Node #0,2,2: 70:[72, 33] Operation: 66-33=33
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 70:[72, 2], Operations: ['94-28=66', '66/33=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[72, 94, 33, 28], Operations: []
Exploring Operation: 94-28=66, Resulting Numbers: [72, 33, 66]
Generated Node #0,2: 70:[72, 33, 66] Operation: 94-28=66
Moving to Node #0,2
Current State: 70:[72, 33, 66], Operations: ['94-28=66']
Exploring Operation: 66/33=2, Resulting Numbers: [72, 2]
Generated Node #0,2,1: 70:[72, 2] Operation: 66/33=2
Moving to Node #0,2,1
Current State: 70:[72, 2], Operations: ['94-28=66', '66/33=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
75,
25,
76,
61
] | 85 | [
"75+25=100",
"76-61=15",
"100-15=85"
] | Current State: 85:[75, 25, 76, 61], Operations: []
Exploring Operation: 75+25=100, Resulting Numbers: [76, 61, 100]
Generated Node #2: [76, 61, 100] from Operation: 75+25=100
Current State: 85:[76, 61, 100], Operations: ['75+25=100']
Exploring Operation: 76-61=15, Resulting Numbers: [100, 15]
Generated Node #3: [100, 15] from Operation: 76-61=15
Current State: 85:[100, 15], Operations: ['75+25=100', '76-61=15']
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[75, 25, 76, 61], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [25, 76, 14]
Generated Node #0,0: 85:[25, 76, 14] Operation: 75-61=14
Exploring Operation: 76-61=15, Resulting Numbers: [75, 25, 15]
Generated Node #0,1: 85:[75, 25, 15] Operation: 76-61=15
Exploring Operation: 25+61=86, Resulting Numbers: [75, 76, 86]
Generated Node #0,2: 85:[75, 76, 86] Operation: 25+61=86
Moving to Node #0,0
Current State: 85:[25, 76, 14], Operations: ['75-61=14']
Exploring Operation: 25-14=11, Resulting Numbers: [76, 11]
Generated Node #0,0,0: 85:[76, 11] Operation: 25-14=11
Exploring Operation: 76+14=90, Resulting Numbers: [25, 90]
Generated Node #0,0,1: 85:[25, 90] Operation: 76+14=90
Exploring Operation: 25+76=101, Resulting Numbers: [14, 101]
Generated Node #0,0,2: 85:[14, 101] Operation: 25+76=101
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 85:[25, 90], Operations: ['75-61=14', '76+14=90']
Exploring Operation: 25+90=115, Resulting Numbers: [115]
115,85 unequal: No Solution
Exploring Operation: 90-25=65, Resulting Numbers: [65]
65,85 unequal: No Solution
Exploring Operation: 25*90=2250, Resulting Numbers: [2250]
2250,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[76, 11], Operations: ['75-61=14', '25-14=11']
Exploring Operation: 76*11=836, Resulting Numbers: [836]
836,85 unequal: No Solution
Exploring Operation: 76+11=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 76-11=65, Resulting Numbers: [65]
65,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 85:[14, 101], Operations: ['75-61=14', '25+76=101']
Exploring Operation: 101-14=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 14+101=115, Resulting Numbers: [115]
115,85 unequal: No Solution
Exploring Operation: 14*101=1414, Resulting Numbers: [1414]
1414,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 85:[75, 25, 15], Operations: ['76-61=15']
Exploring Operation: 75/25=3, Resulting Numbers: [15, 3]
Generated Node #0,1,0: 85:[15, 3] Operation: 75/25=3
Exploring Operation: 75/15=5, Resulting Numbers: [25, 5]
Generated Node #0,1,1: 85:[25, 5] Operation: 75/15=5
Exploring Operation: 75+15=90, Resulting Numbers: [25, 90]
Generated Node #0,1,2: 85:[25, 90] Operation: 75+15=90
Moving to Node #0,2
Current State: 85:[75, 76, 86], Operations: ['25+61=86']
Exploring Operation: 86-76=10, Resulting Numbers: [75, 10]
Generated Node #0,2,0: 85:[75, 10] Operation: 86-76=10
Exploring Operation: 86-75=11, Resulting Numbers: [76, 11]
Generated Node #0,2,1: 85:[76, 11] Operation: 86-75=11
Exploring Operation: 76-75=1, Resulting Numbers: [86, 1]
Generated Node #0,2,2: 85:[86, 1] Operation: 76-75=1
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 85:[86, 1], Operations: ['25+61=86', '76-75=1']
Exploring Operation: 86/1=86, Resulting Numbers: [86]
86,85 unequal: No Solution
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[75, 25, 76, 61], Operations: []
Exploring Operation: 25+61=86, Resulting Numbers: [75, 76, 86]
Generated Node #0,2: 85:[75, 76, 86] Operation: 25+61=86
Moving to Node #0,2
Current State: 85:[75, 76, 86], Operations: ['25+61=86']
Exploring Operation: 76-75=1, Resulting Numbers: [86, 1]
Generated Node #0,2,2: 85:[86, 1] Operation: 76-75=1
Moving to Node #0,2,2
Current State: 85:[86, 1], Operations: ['25+61=86', '76-75=1']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
77,
22,
38,
76
] | 66 | [
"22*38=836",
"836/76=11",
"77-11=66"
] | Current State: 66:[77, 22, 38, 76], Operations: []
Exploring Operation: 22*38=836, Resulting Numbers: [77, 76, 836]
Generated Node #2: [77, 76, 836] from Operation: 22*38=836
Current State: 66:[77, 76, 836], Operations: ['22*38=836']
Exploring Operation: 836/76=11, Resulting Numbers: [77, 11]
Generated Node #3: [77, 11] from Operation: 836/76=11
Current State: 66:[77, 11], Operations: ['22*38=836', '836/76=11']
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[77, 22, 38, 76], Operations: []
Exploring Operation: 77-76=1, Resulting Numbers: [22, 38, 1]
Generated Node #0,0: 66:[22, 38, 1] Operation: 77-76=1
Exploring Operation: 76/38=2, Resulting Numbers: [77, 22, 2]
Generated Node #0,1: 66:[77, 22, 2] Operation: 76/38=2
Exploring Operation: 77-38=39, Resulting Numbers: [22, 76, 39]
Generated Node #0,2: 66:[22, 76, 39] Operation: 77-38=39
Exploring Operation: 76-38=38, Resulting Numbers: [77, 22, 38]
Generated Node #0,3: 66:[77, 22, 38] Operation: 76-38=38
Moving to Node #0,0
Current State: 66:[22, 38, 1], Operations: ['77-76=1']
Exploring Operation: 22/1=22, Resulting Numbers: [38, 22]
Generated Node #0,0,0: 66:[38, 22] Operation: 22/1=22
Exploring Operation: 22*1=22, Resulting Numbers: [38, 22]
Generated Node #0,0,1: 66:[38, 22] Operation: 22*1=22
Exploring Operation: 38*1=38, Resulting Numbers: [22, 38]
Generated Node #0,0,2: 66:[22, 38] Operation: 38*1=38
Exploring Operation: 38-1=37, Resulting Numbers: [22, 37]
Generated Node #0,0,3: 66:[22, 37] Operation: 38-1=37
Moving to Node #0,1
Current State: 66:[77, 22, 2], Operations: ['76/38=2']
Exploring Operation: 77-2=75, Resulting Numbers: [22, 75]
Generated Node #0,1,0: 66:[22, 75] Operation: 77-2=75
Exploring Operation: 22/2=11, Resulting Numbers: [77, 11]
Generated Node #0,1,1: 66:[77, 11] Operation: 22/2=11
Exploring Operation: 77-22=55, Resulting Numbers: [2, 55]
Generated Node #0,1,2: 66:[2, 55] Operation: 77-22=55
Exploring Operation: 77+2=79, Resulting Numbers: [22, 79]
Generated Node #0,1,3: 66:[22, 79] Operation: 77+2=79
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[22, 75], Operations: ['76/38=2', '77-2=75']
Exploring Operation: 22+75=97, Resulting Numbers: [97]
97,66 unequal: No Solution
Exploring Operation: 22*75=1650, Resulting Numbers: [1650]
1650,66 unequal: No Solution
Exploring Operation: 75-22=53, Resulting Numbers: [53]
53,66 unequal: No Solution
No 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: 66:[77, 11], Operations: ['76/38=2', '22/2=11']
Exploring Operation: 77*11=847, Resulting Numbers: [847]
847,66 unequal: No Solution
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[77, 22, 38, 76], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [77, 22, 2]
Generated Node #0,1: 66:[77, 22, 2] Operation: 76/38=2
Moving to Node #0,1
Current State: 66:[77, 22, 2], Operations: ['76/38=2']
Exploring Operation: 22/2=11, Resulting Numbers: [77, 11]
Generated Node #0,1,1: 66:[77, 11] Operation: 22/2=11
Moving to Node #0,1,1
Current State: 66:[77, 11], Operations: ['76/38=2', '22/2=11']
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
48,
8,
84,
39
] | 25 | [
"48/8=6",
"84/6=14",
"39-14=25"
] | Current State: 25:[48, 8, 84, 39], Operations: []
Exploring Operation: 48/8=6, Resulting Numbers: [84, 39, 6]
Generated Node #2: [84, 39, 6] from Operation: 48/8=6
Current State: 25:[84, 39, 6], Operations: ['48/8=6']
Exploring Operation: 84/6=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 84/6=14
Current State: 25:[39, 14], Operations: ['48/8=6', '84/6=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[48, 8, 84, 39], Operations: []
Exploring Operation: 84-39=45, Resulting Numbers: [48, 8, 45]
Generated Node #0,0: 25:[48, 8, 45] Operation: 84-39=45
Exploring Operation: 84-48=36, Resulting Numbers: [8, 39, 36]
Generated Node #0,1: 25:[8, 39, 36] Operation: 84-48=36
Exploring Operation: 48-39=9, Resulting Numbers: [8, 84, 9]
Generated Node #0,2: 25:[8, 84, 9] Operation: 48-39=9
Moving to Node #0,1
Current State: 25:[8, 39, 36], Operations: ['84-48=36']
Exploring Operation: 39-36=3, Resulting Numbers: [8, 3]
Generated Node #0,1,0: 25:[8, 3] Operation: 39-36=3
Exploring Operation: 36-8=28, Resulting Numbers: [39, 28]
Generated Node #0,1,1: 25:[39, 28] Operation: 36-8=28
Exploring Operation: 39-8=31, Resulting Numbers: [36, 31]
Generated Node #0,1,2: 25:[36, 31] Operation: 39-8=31
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[8, 3], Operations: ['84-48=36', '39-36=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[39, 28], Operations: ['84-48=36', '36-8=28']
Exploring Operation: 39*28=1092, Resulting Numbers: [1092]
1092,25 unequal: No Solution
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 39+28=67, Resulting Numbers: [67]
67,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 25:[36, 31], Operations: ['84-48=36', '39-8=31']
Exploring Operation: 36*31=1116, Resulting Numbers: [1116]
1116,25 unequal: No Solution
Exploring Operation: 36+31=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,25 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: 25:[48, 8, 45], Operations: ['84-39=45']
Exploring Operation: 48-45=3, Resulting Numbers: [8, 3]
Generated Node #0,0,0: 25:[8, 3] Operation: 48-45=3
Exploring Operation: 48/8=6, Resulting Numbers: [45, 6]
Generated Node #0,0,1: 25:[45, 6] Operation: 48/8=6
Exploring Operation: 48-8=40, Resulting Numbers: [45, 40]
Generated Node #0,0,2: 25:[45, 40] Operation: 48-8=40
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[8, 3], Operations: ['84-39=45', '48-45=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[45, 6], Operations: ['84-39=45', '48/8=6']
Exploring Operation: 45*6=270, Resulting Numbers: [270]
270,25 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,25 unequal: No Solution
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[45, 40], Operations: ['84-39=45', '48-8=40']
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,25 unequal: No Solution
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 45*40=1800, Resulting Numbers: [1800]
1800,25 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: 25:[8, 84, 9], Operations: ['48-39=9']
Exploring Operation: 84-8=76, Resulting Numbers: [9, 76]
Generated Node #0,2,0: 25:[9, 76] Operation: 84-8=76
Exploring Operation: 84-9=75, Resulting Numbers: [8, 75]
Generated Node #0,2,1: 25:[8, 75] Operation: 84-9=75
Exploring Operation: 9-8=1, Resulting Numbers: [84, 1]
Generated Node #0,2,2: 25:[84, 1] Operation: 9-8=1
Moving to Node #0,2,1
Current State: 25:[8, 75], Operations: ['48-39=9', '84-9=75']
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 8*75=600, Resulting Numbers: [600]
600,25 unequal: No Solution
Exploring Operation: 8+75=83, Resulting Numbers: [83]
83,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[9, 76], Operations: ['48-39=9', '84-8=76']
Exploring Operation: 76-9=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 9+76=85, Resulting Numbers: [85]
85,25 unequal: No Solution
Exploring Operation: 9*76=684, Resulting Numbers: [684]
684,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[84, 1], Operations: ['48-39=9', '9-8=1']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,25 unequal: No Solution
Exploring Operation: 84*1=84, Resulting Numbers: [84]
84,25 unequal: No Solution
Exploring Operation: 84/1=84, Resulting Numbers: [84]
84,25 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
64,
68,
66,
82
] | 73 | [
"64+82=146",
"68-66=2",
"146/2=73"
] | Current State: 73:[64, 68, 66, 82], Operations: []
Exploring Operation: 64+82=146, Resulting Numbers: [68, 66, 146]
Generated Node #2: [68, 66, 146] from Operation: 64+82=146
Current State: 73:[68, 66, 146], Operations: ['64+82=146']
Exploring Operation: 68-66=2, Resulting Numbers: [146, 2]
Generated Node #3: [146, 2] from Operation: 68-66=2
Current State: 73:[146, 2], Operations: ['64+82=146', '68-66=2']
Exploring Operation: 146/2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[64, 68, 66, 82], Operations: []
Exploring Operation: 82-68=14, Resulting Numbers: [64, 66, 14]
Generated Node #0,0: 73:[64, 66, 14] Operation: 82-68=14
Exploring Operation: 82-66=16, Resulting Numbers: [64, 68, 16]
Generated Node #0,1: 73:[64, 68, 16] Operation: 82-66=16
Exploring Operation: 64+66=130, Resulting Numbers: [68, 82, 130]
Generated Node #0,2: 73:[68, 82, 130] Operation: 64+66=130
Exploring Operation: 64+68=132, Resulting Numbers: [66, 82, 132]
Generated Node #0,3: 73:[66, 82, 132] Operation: 64+68=132
Exploring Operation: 82-64=18, Resulting Numbers: [68, 66, 18]
Generated Node #0,4: 73:[68, 66, 18] Operation: 82-64=18
Start Sub Search at level 1: Moving to Node #0,4
Current State: 73:[68, 66, 18], Operations: ['82-64=18']
Exploring Operation: 68-18=50, Resulting Numbers: [66, 50]
Generated Node #0,4,0: 73:[66, 50] Operation: 68-18=50
Exploring Operation: 66-18=48, Resulting Numbers: [68, 48]
Generated Node #0,4,1: 73:[68, 48] Operation: 66-18=48
Exploring Operation: 68+18=86, Resulting Numbers: [66, 86]
Generated Node #0,4,2: 73:[66, 86] Operation: 68+18=86
Exploring Operation: 66+18=84, Resulting Numbers: [68, 84]
Generated Node #0,4,3: 73:[68, 84] Operation: 66+18=84
Exploring Operation: 68+66=134, Resulting Numbers: [18, 134]
Generated Node #0,4,4: 73:[18, 134] Operation: 68+66=134
Moving to Node #0,4,3
Current State: 73:[68, 84], Operations: ['82-64=18', '66+18=84']
Exploring Operation: 84-68=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 68*84=5712, Resulting Numbers: [5712]
5712,73 unequal: No Solution
Exploring Operation: 68+84=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Moving to Node #0,4,2
Current State: 73:[66, 86], Operations: ['82-64=18', '68+18=86']
Exploring Operation: 86-66=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 66*86=5676, Resulting Numbers: [5676]
5676,73 unequal: No Solution
Exploring Operation: 66+86=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Moving to Node #0,4,0
Current State: 73:[66, 50], Operations: ['82-64=18', '68-18=50']
Exploring Operation: 66*50=3300, Resulting Numbers: [3300]
3300,73 unequal: No Solution
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 66+50=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Moving to Node #0,4,1
Current State: 73:[68, 48], Operations: ['82-64=18', '66-18=48']
Exploring Operation: 68+48=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Exploring Operation: 68*48=3264, Resulting Numbers: [3264]
3264,73 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Moving to Node #0,4,4
Current State: 73:[18, 134], Operations: ['82-64=18', '68+66=134']
Exploring Operation: 134-18=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Exploring Operation: 18+134=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Exploring Operation: 18*134=2412, Resulting Numbers: [2412]
2412,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[64, 68, 16], Operations: ['82-66=16']
Exploring Operation: 64-16=48, Resulting Numbers: [68, 48]
Generated Node #0,1,0: 73:[68, 48] Operation: 64-16=48
Exploring Operation: 64+16=80, Resulting Numbers: [68, 80]
Generated Node #0,1,1: 73:[68, 80] Operation: 64+16=80
Exploring Operation: 68-16=52, Resulting Numbers: [64, 52]
Generated Node #0,1,2: 73:[64, 52] Operation: 68-16=52
Exploring Operation: 68+16=84, Resulting Numbers: [64, 84]
Generated Node #0,1,3: 73:[64, 84] Operation: 68+16=84
Exploring Operation: 64/16=4, Resulting Numbers: [68, 4]
Generated Node #0,1,4: 73:[68, 4] Operation: 64/16=4
Moving to Node #0,1,1
Current State: 73:[68, 80], Operations: ['82-66=16', '64+16=80']
Exploring Operation: 68*80=5440, Resulting Numbers: [5440]
5440,73 unequal: No Solution
Exploring Operation: 68+80=148, Resulting Numbers: [148]
148,73 unequal: No Solution
Exploring Operation: 80-68=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[64, 84], Operations: ['82-66=16', '68+16=84']
Exploring Operation: 64+84=148, Resulting Numbers: [148]
148,73 unequal: No Solution
Exploring Operation: 64*84=5376, Resulting Numbers: [5376]
5376,73 unequal: No Solution
Exploring Operation: 84-64=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[68, 48], Operations: ['82-66=16', '64-16=48']
Exploring Operation: 68+48=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 68*48=3264, Resulting Numbers: [3264]
3264,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[64, 52], Operations: ['82-66=16', '68-16=52']
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 64+52=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Exploring Operation: 64*52=3328, Resulting Numbers: [3328]
3328,73 unequal: No Solution
Moving to Node #0,1,4
Current State: 73:[68, 4], Operations: ['82-66=16', '64/16=4']
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,73 unequal: No Solution
Exploring Operation: 68*4=272, Resulting Numbers: [272]
272,73 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,73 unequal: No Solution
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,73 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
Current State: 73:[68, 82, 130], Operations: ['64+66=130']
Exploring Operation: 68+130=198, Resulting Numbers: [82, 198]
Generated Node #0,2,0: 73:[82, 198] Operation: 68+130=198
Exploring Operation: 130-68=62, Resulting Numbers: [82, 62]
Generated Node #0,2,1: 73:[82, 62] Operation: 130-68=62
Exploring Operation: 68+82=150, Resulting Numbers: [130, 150]
Generated Node #0,2,2: 73:[130, 150] Operation: 68+82=150
Exploring Operation: 82-68=14, Resulting Numbers: [130, 14]
Generated Node #0,2,3: 73:[130, 14] Operation: 82-68=14
Exploring Operation: 130-82=48, Resulting Numbers: [68, 48]
Generated Node #0,2,4: 73:[68, 48] Operation: 130-82=48
Moving to Node #0,2,1
Current State: 73:[82, 62], Operations: ['64+66=130', '130-68=62']
Exploring Operation: 82-62=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 82+62=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 82*62=5084, Resulting Numbers: [5084]
5084,73 unequal: No Solution
Moving to Node #0,2,4
Current State: 73:[68, 48], Operations: ['64+66=130', '130-82=48']
Exploring Operation: 68*48=3264, Resulting Numbers: [3264]
3264,73 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 68+48=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[130, 14], Operations: ['64+66=130', '82-68=14']
Exploring Operation: 130-14=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Exploring Operation: 130+14=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 130*14=1820, Resulting Numbers: [1820]
1820,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[82, 198], Operations: ['64+66=130', '68+130=198']
Exploring Operation: 198-82=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Exploring Operation: 82*198=16236, Resulting Numbers: [16236]
16236,73 unequal: No Solution
Exploring Operation: 82+198=280, Resulting Numbers: [280]
280,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[130, 150], Operations: ['64+66=130', '68+82=150']
Exploring Operation: 150-130=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 130+150=280, Resulting Numbers: [280]
280,73 unequal: No Solution
Exploring Operation: 130*150=19500, Resulting Numbers: [19500]
19500,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[64, 66, 14], Operations: ['82-68=14']
Exploring Operation: 64+14=78, Resulting Numbers: [66, 78]
Generated Node #0,0,0: 73:[66, 78] Operation: 64+14=78
Exploring Operation: 66-14=52, Resulting Numbers: [64, 52]
Generated Node #0,0,1: 73:[64, 52] Operation: 66-14=52
Exploring Operation: 64+66=130, Resulting Numbers: [14, 130]
Generated Node #0,0,2: 73:[14, 130] Operation: 64+66=130
Exploring Operation: 64-14=50, Resulting Numbers: [66, 50]
Generated Node #0,0,3: 73:[66, 50] Operation: 64-14=50
Exploring Operation: 66+14=80, Resulting Numbers: [64, 80]
Generated Node #0,0,4: 73:[64, 80] Operation: 66+14=80
Moving to Node #0,0,0
Current State: 73:[66, 78], Operations: ['82-68=14', '64+14=78']
Exploring Operation: 78-66=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 66*78=5148, Resulting Numbers: [5148]
5148,73 unequal: No Solution
Exploring Operation: 66+78=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[64, 80], Operations: ['82-68=14', '66+14=80']
Exploring Operation: 64+80=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 64*80=5120, Resulting Numbers: [5120]
5120,73 unequal: No Solution
Exploring Operation: 80-64=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[64, 52], Operations: ['82-68=14', '66-14=52']
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 64+52=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Exploring Operation: 64*52=3328, Resulting Numbers: [3328]
3328,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[66, 50], Operations: ['82-68=14', '64-14=50']
Exploring Operation: 66*50=3300, Resulting Numbers: [3300]
3300,73 unequal: No Solution
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 66+50=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[14, 130], Operations: ['82-68=14', '64+66=130']
Exploring Operation: 14+130=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 130-14=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Exploring Operation: 14*130=1820, Resulting Numbers: [1820]
1820,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[66, 82, 132], Operations: ['64+68=132']
Exploring Operation: 132/66=2, Resulting Numbers: [82, 2]
Generated Node #0,3,0: 73:[82, 2] Operation: 132/66=2
Exploring Operation: 132-66=66, Resulting Numbers: [82, 66]
Generated Node #0,3,1: 73:[82, 66] Operation: 132-66=66
Exploring Operation: 66+82=148, Resulting Numbers: [132, 148]
Generated Node #0,3,2: 73:[132, 148] Operation: 66+82=148
Exploring Operation: 132-82=50, Resulting Numbers: [66, 50]
Generated Node #0,3,3: 73:[66, 50] Operation: 132-82=50
Exploring Operation: 82-66=16, Resulting Numbers: [132, 16]
Generated Node #0,3,4: 73:[132, 16] Operation: 82-66=16
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 73:[82, 66], Operations: ['64+68=132', '132-66=66']
Exploring Operation: 82*66=5412, Resulting Numbers: [5412]
5412,73 unequal: No Solution
Exploring Operation: 82+66=148, Resulting Numbers: [148]
148,73 unequal: No Solution
Exploring Operation: 82-66=16, Resulting Numbers: [16]
16,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 73:[66, 50], Operations: ['64+68=132', '132-82=50']
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 66*50=3300, Resulting Numbers: [3300]
3300,73 unequal: No Solution
Exploring Operation: 66+50=116, Resulting Numbers: [116]
116,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 73:[82, 2], Operations: ['64+68=132', '132/66=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 82*2=164, Resulting Numbers: [164]
164,73 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,73 unequal: No Solution
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 73:[132, 16], Operations: ['64+68=132', '82-66=16']
Exploring Operation: 132+16=148, Resulting Numbers: [148]
148,73 unequal: No Solution
Exploring Operation: 132*16=2112, Resulting Numbers: [2112]
2112,73 unequal: No Solution
Exploring Operation: 132-16=116, Resulting Numbers: [116]
116,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 73:[132, 148], Operations: ['64+68=132', '66+82=148']
Exploring Operation: 148-132=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 132*148=19536, Resulting Numbers: [19536]
19536,73 unequal: No Solution
Exploring Operation: 132+148=280, Resulting Numbers: [280]
280,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
2,
68,
67,
90
] | 47 | [
"2+68=70",
"90-67=23",
"70-23=47"
] | Current State: 47:[2, 68, 67, 90], Operations: []
Exploring Operation: 2+68=70, Resulting Numbers: [67, 90, 70]
Generated Node #2: [67, 90, 70] from Operation: 2+68=70
Current State: 47:[67, 90, 70], Operations: ['2+68=70']
Exploring Operation: 90-67=23, Resulting Numbers: [70, 23]
Generated Node #3: [70, 23] from Operation: 90-67=23
Current State: 47:[70, 23], Operations: ['2+68=70', '90-67=23']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[2, 68, 67, 90], Operations: []
Exploring Operation: 68-2=66, Resulting Numbers: [67, 90, 66]
Generated Node #0,0: 47:[67, 90, 66] Operation: 68-2=66
Exploring Operation: 68/2=34, Resulting Numbers: [67, 90, 34]
Generated Node #0,1: 47:[67, 90, 34] Operation: 68/2=34
Exploring Operation: 90/2=45, Resulting Numbers: [68, 67, 45]
Generated Node #0,2: 47:[68, 67, 45] Operation: 90/2=45
Exploring Operation: 67-2=65, Resulting Numbers: [68, 90, 65]
Generated Node #0,3: 47:[68, 90, 65] Operation: 67-2=65
Moving to Node #0,2
Current State: 47:[68, 67, 45], Operations: ['90/2=45']
Exploring Operation: 67-45=22, Resulting Numbers: [68, 22]
Generated Node #0,2,0: 47:[68, 22] Operation: 67-45=22
Exploring Operation: 68-67=1, Resulting Numbers: [45, 1]
Generated Node #0,2,1: 47:[45, 1] Operation: 68-67=1
Exploring Operation: 68-45=23, Resulting Numbers: [67, 23]
Generated Node #0,2,2: 47:[67, 23] Operation: 68-45=23
Exploring Operation: 68+45=113, Resulting Numbers: [67, 113]
Generated Node #0,2,3: 47:[67, 113] Operation: 68+45=113
Moving to Node #0,1
Current State: 47:[67, 90, 34], Operations: ['68/2=34']
Exploring Operation: 90-67=23, Resulting Numbers: [34, 23]
Generated Node #0,1,0: 47:[34, 23] Operation: 90-67=23
Exploring Operation: 90-34=56, Resulting Numbers: [67, 56]
Generated Node #0,1,1: 47:[67, 56] Operation: 90-34=56
Exploring Operation: 67+34=101, Resulting Numbers: [90, 101]
Generated Node #0,1,2: 47:[90, 101] Operation: 67+34=101
Exploring Operation: 67-34=33, Resulting Numbers: [90, 33]
Generated Node #0,1,3: 47:[90, 33] Operation: 67-34=33
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[67, 56], Operations: ['68/2=34', '90-34=56']
Exploring Operation: 67-56=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Exploring Operation: 67*56=3752, Resulting Numbers: [3752]
3752,47 unequal: No Solution
Exploring Operation: 67+56=123, Resulting Numbers: [123]
123,47 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:[34, 23], Operations: ['68/2=34', '90-67=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 34*23=782, Resulting Numbers: [782]
782,47 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:[90, 33], Operations: ['68/2=34', '67-34=33']
Exploring Operation: 90*33=2970, Resulting Numbers: [2970]
2970,47 unequal: No Solution
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 90+33=123, Resulting Numbers: [123]
123,47 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:[90, 101], Operations: ['68/2=34', '67+34=101']
Exploring Operation: 101-90=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Exploring Operation: 90*101=9090, Resulting Numbers: [9090]
9090,47 unequal: No Solution
Exploring Operation: 90+101=191, Resulting Numbers: [191]
191,47 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: 47:[68, 90, 65], Operations: ['67-2=65']
Exploring Operation: 90-68=22, Resulting Numbers: [65, 22]
Generated Node #0,3,0: 47:[65, 22] Operation: 90-68=22
Exploring Operation: 68+90=158, Resulting Numbers: [65, 158]
Generated Node #0,3,1: 47:[65, 158] Operation: 68+90=158
Exploring Operation: 68-65=3, Resulting Numbers: [90, 3]
Generated Node #0,3,2: 47:[90, 3] Operation: 68-65=3
Exploring Operation: 90-65=25, Resulting Numbers: [68, 25]
Generated Node #0,3,3: 47:[68, 25] Operation: 90-65=25
Moving to Node #0,0
Current State: 47:[67, 90, 66], Operations: ['68-2=66']
Exploring Operation: 90-67=23, Resulting Numbers: [66, 23]
Generated Node #0,0,0: 47:[66, 23] Operation: 90-67=23
Exploring Operation: 67-66=1, Resulting Numbers: [90, 1]
Generated Node #0,0,1: 47:[90, 1] Operation: 67-66=1
Exploring Operation: 90-66=24, Resulting Numbers: [67, 24]
Generated Node #0,0,2: 47:[67, 24] Operation: 90-66=24
Exploring Operation: 67+90=157, Resulting Numbers: [66, 157]
Generated Node #0,0,3: 47:[66, 157] Operation: 67+90=157
Moving to Node #0,3,0
Current State: 47:[65, 22], Operations: ['67-2=65', '90-68=22']
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,47 unequal: No Solution
Exploring Operation: 65*22=1430, Resulting Numbers: [1430]
1430,47 unequal: No Solution
Moving to Node #0,3,3
Current State: 47:[68, 25], Operations: ['67-2=65', '90-65=25']
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 68+25=93, Resulting Numbers: [93]
93,47 unequal: No Solution
Exploring Operation: 68*25=1700, Resulting Numbers: [1700]
1700,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[66, 23], Operations: ['68-2=66', '90-67=23']
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Exploring Operation: 66*23=1518, Resulting Numbers: [1518]
1518,47 unequal: No Solution
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[67, 24], Operations: ['68-2=66', '90-66=24']
Exploring Operation: 67*24=1608, Resulting Numbers: [1608]
1608,47 unequal: No Solution
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[67, 23], Operations: ['90/2=45', '68-45=23']
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 67*23=1541, Resulting Numbers: [1541]
1541,47 unequal: No Solution
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Moving to Node #0,2,0
Current State: 47:[68, 22], Operations: ['90/2=45', '67-45=22']
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 68*22=1496, Resulting Numbers: [1496]
1496,47 unequal: No Solution
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Moving to Node #0,2,1
Current State: 47:[45, 1], Operations: ['90/2=45', '68-67=1']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Moving to Node #0,2,3
Current State: 47:[67, 113], Operations: ['90/2=45', '68+45=113']
Exploring Operation: 113-67=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Exploring Operation: 67+113=180, Resulting Numbers: [180]
180,47 unequal: No Solution
Exploring Operation: 67*113=7571, Resulting Numbers: [7571]
7571,47 unequal: No Solution
Moving to Node #0,3,2
Current State: 47:[90, 3], Operations: ['67-2=65', '68-65=3']
Exploring Operation: 90+3=93, Resulting Numbers: [93]
93,47 unequal: No Solution
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,47 unequal: No Solution
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,47 unequal: No Solution
Exploring Operation: 90*3=270, Resulting Numbers: [270]
270,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[90, 1], Operations: ['68-2=66', '67-66=1']
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Exploring Operation: 90/1=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Moving to Node #0,3,1
Current State: 47:[65, 158], Operations: ['67-2=65', '68+90=158']
Exploring Operation: 65+158=223, Resulting Numbers: [223]
223,47 unequal: No Solution
Exploring Operation: 65*158=10270, Resulting Numbers: [10270]
10270,47 unequal: No Solution
Exploring Operation: 158-65=93, Resulting Numbers: [93]
93,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[66, 157], Operations: ['68-2=66', '67+90=157']
Exploring Operation: 157-66=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Exploring Operation: 66+157=223, Resulting Numbers: [223]
223,47 unequal: No Solution
Exploring Operation: 66*157=10362, Resulting Numbers: [10362]
10362,47 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
38,
93,
76,
84
] | 47 | [
"93-38=55",
"84-76=8",
"55-8=47"
] | Current State: 47:[38, 93, 76, 84], Operations: []
Exploring Operation: 93-38=55, Resulting Numbers: [76, 84, 55]
Generated Node #2: [76, 84, 55] from Operation: 93-38=55
Current State: 47:[76, 84, 55], Operations: ['93-38=55']
Exploring Operation: 84-76=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 84-76=8
Current State: 47:[55, 8], Operations: ['93-38=55', '84-76=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[38, 93, 76, 84], Operations: []
Exploring Operation: 93-38=55, Resulting Numbers: [76, 84, 55]
Generated Node #0,0: 47:[76, 84, 55] Operation: 93-38=55
Moving to Node #0,0
Current State: 47:[76, 84, 55], Operations: ['93-38=55']
Exploring Operation: 84-76=8, Resulting Numbers: [55, 8]
Generated Node #0,0,0: 47:[55, 8] Operation: 84-76=8
Moving to Node #0,0,0
Current State: 47:[55, 8], Operations: ['93-38=55', '84-76=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[38, 93, 76, 84], Operations: []
Exploring Operation: 93-38=55, Resulting Numbers: [76, 84, 55]
Generated Node #0,0: 47:[76, 84, 55] Operation: 93-38=55
Moving to Node #0,0
Current State: 47:[76, 84, 55], Operations: ['93-38=55']
Exploring Operation: 84-76=8, Resulting Numbers: [55, 8]
Generated Node #0,0,0: 47:[55, 8] Operation: 84-76=8
Moving to Node #0,0,0
Current State: 47:[55, 8], Operations: ['93-38=55', '84-76=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
49,
77,
21,
10
] | 39 | [
"77-49=28",
"21-10=11",
"28+11=39"
] | Current State: 39:[49, 77, 21, 10], Operations: []
Exploring Operation: 77-49=28, Resulting Numbers: [21, 10, 28]
Generated Node #2: [21, 10, 28] from Operation: 77-49=28
Current State: 39:[21, 10, 28], Operations: ['77-49=28']
Exploring Operation: 21-10=11, Resulting Numbers: [28, 11]
Generated Node #3: [28, 11] from Operation: 21-10=11
Current State: 39:[28, 11], Operations: ['77-49=28', '21-10=11']
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[49, 77, 21, 10], Operations: []
Exploring Operation: 49-10=39, Resulting Numbers: [77, 21, 39]
Generated Node #0,0: 39:[77, 21, 39] Operation: 49-10=39
Exploring Operation: 77-21=56, Resulting Numbers: [49, 10, 56]
Generated Node #0,1: 39:[49, 10, 56] Operation: 77-21=56
Exploring Operation: 21-10=11, Resulting Numbers: [49, 77, 11]
Generated Node #0,2: 39:[49, 77, 11] Operation: 21-10=11
Exploring Operation: 77-10=67, Resulting Numbers: [49, 21, 67]
Generated Node #0,3: 39:[49, 21, 67] Operation: 77-10=67
Exploring Operation: 77-49=28, Resulting Numbers: [21, 10, 28]
Generated Node #0,4: 39:[21, 10, 28] Operation: 77-49=28
Moving to Node #0,4
Current State: 39:[21, 10, 28], Operations: ['77-49=28']
Exploring Operation: 28-10=18, Resulting Numbers: [21, 18]
Generated Node #0,4,0: 39:[21, 18] Operation: 28-10=18
Exploring Operation: 10+28=38, Resulting Numbers: [21, 38]
Generated Node #0,4,1: 39:[21, 38] Operation: 10+28=38
Exploring Operation: 21-10=11, Resulting Numbers: [28, 11]
Generated Node #0,4,2: 39:[28, 11] Operation: 21-10=11
Exploring Operation: 28-21=7, Resulting Numbers: [10, 7]
Generated Node #0,4,3: 39:[10, 7] Operation: 28-21=7
Exploring Operation: 21+28=49, Resulting Numbers: [10, 49]
Generated Node #0,4,4: 39:[10, 49] Operation: 21+28=49
Moving to Node #0,1
Current State: 39:[49, 10, 56], Operations: ['77-21=56']
Exploring Operation: 56-10=46, Resulting Numbers: [49, 46]
Generated Node #0,1,0: 39:[49, 46] Operation: 56-10=46
Exploring Operation: 49-10=39, Resulting Numbers: [56, 39]
Generated Node #0,1,1: 39:[56, 39] Operation: 49-10=39
Exploring Operation: 56-49=7, Resulting Numbers: [10, 7]
Generated Node #0,1,2: 39:[10, 7] Operation: 56-49=7
Exploring Operation: 49+10=59, Resulting Numbers: [56, 59]
Generated Node #0,1,3: 39:[56, 59] Operation: 49+10=59
Exploring Operation: 10+56=66, Resulting Numbers: [49, 66]
Generated Node #0,1,4: 39:[49, 66] Operation: 10+56=66
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 39:[10, 7], Operations: ['77-21=56', '56-49=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,39 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,39 unequal: No Solution
No 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: 39:[49, 46], Operations: ['77-21=56', '56-10=46']
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,39 unequal: No Solution
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,39 unequal: No Solution
No 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: 39:[56, 39], Operations: ['77-21=56', '49-10=39']
Exploring Operation: 56-39=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 56*39=2184, Resulting Numbers: [2184]
2184,39 unequal: No Solution
Exploring Operation: 56+39=95, Resulting Numbers: [95]
95,39 unequal: No Solution
No 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: 39:[56, 59], Operations: ['77-21=56', '49+10=59']
Exploring Operation: 56*59=3304, Resulting Numbers: [3304]
3304,39 unequal: No Solution
Exploring Operation: 56+59=115, Resulting Numbers: [115]
115,39 unequal: No Solution
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,39 unequal: No Solution
No 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: 39:[49, 66], Operations: ['77-21=56', '10+56=66']
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 49+66=115, Resulting Numbers: [115]
115,39 unequal: No Solution
Exploring Operation: 49*66=3234, Resulting Numbers: [3234]
3234,39 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: 39:[77, 21, 39], Operations: ['49-10=39']
Exploring Operation: 77+21=98, Resulting Numbers: [39, 98]
Generated Node #0,0,0: 39:[39, 98] Operation: 77+21=98
Exploring Operation: 21+39=60, Resulting Numbers: [77, 60]
Generated Node #0,0,1: 39:[77, 60] Operation: 21+39=60
Exploring Operation: 39-21=18, Resulting Numbers: [77, 18]
Generated Node #0,0,2: 39:[77, 18] Operation: 39-21=18
Exploring Operation: 77-21=56, Resulting Numbers: [39, 56]
Generated Node #0,0,3: 39:[39, 56] Operation: 77-21=56
Exploring Operation: 77-39=38, Resulting Numbers: [21, 38]
Generated Node #0,0,4: 39:[21, 38] Operation: 77-39=38
Moving to Node #0,3
Current State: 39:[49, 21, 67], Operations: ['77-10=67']
Exploring Operation: 67-49=18, Resulting Numbers: [21, 18]
Generated Node #0,3,0: 39:[21, 18] Operation: 67-49=18
Exploring Operation: 67-21=46, Resulting Numbers: [49, 46]
Generated Node #0,3,1: 39:[49, 46] Operation: 67-21=46
Exploring Operation: 49-21=28, Resulting Numbers: [67, 28]
Generated Node #0,3,2: 39:[67, 28] Operation: 49-21=28
Exploring Operation: 49+21=70, Resulting Numbers: [67, 70]
Generated Node #0,3,3: 39:[67, 70] Operation: 49+21=70
Exploring Operation: 21+67=88, Resulting Numbers: [49, 88]
Generated Node #0,3,4: 39:[49, 88] Operation: 21+67=88
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 39:[21, 18], Operations: ['77-10=67', '67-49=18']
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[49, 77, 21, 10], Operations: []
Exploring Operation: 77-10=67, Resulting Numbers: [49, 21, 67]
Generated Node #0,3: 39:[49, 21, 67] Operation: 77-10=67
Moving to Node #0,3
Current State: 39:[49, 21, 67], Operations: ['77-10=67']
Exploring Operation: 67-49=18, Resulting Numbers: [21, 18]
Generated Node #0,3,0: 39:[21, 18] Operation: 67-49=18
Moving to Node #0,3,0
Current State: 39:[21, 18], Operations: ['77-10=67', '67-49=18']
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_5 | mult_heuristic |
[
34,
3,
35,
56
] | 14 | [
"34-3=31",
"35-31=4",
"56/4=14"
] | Current State: 14:[34, 3, 35, 56], Operations: []
Exploring Operation: 34-3=31, Resulting Numbers: [35, 56, 31]
Generated Node #2: [35, 56, 31] from Operation: 34-3=31
Current State: 14:[35, 56, 31], Operations: ['34-3=31']
Exploring Operation: 35-31=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 35-31=4
Current State: 14:[56, 4], Operations: ['34-3=31', '35-31=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[34, 3, 35, 56], Operations: []
Exploring Operation: 56-35=21, Resulting Numbers: [34, 3, 21]
Generated Node #0,0: 14:[34, 3, 21] Operation: 56-35=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[34, 3, 21], Operations: ['56-35=21']
Exploring Operation: 34-21=13, Resulting Numbers: [3, 13]
Generated Node #0,0,0: 14:[3, 13] Operation: 34-21=13
Moving to Node #0,0,0
Current State: 14:[3, 13], Operations: ['56-35=21', '34-21=13']
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,14 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 |
[
4,
91,
51,
2
] | 46 | [
"4+91=95",
"51-2=49",
"95-49=46"
] | Current State: 46:[4, 91, 51, 2], Operations: []
Exploring Operation: 4+91=95, Resulting Numbers: [51, 2, 95]
Generated Node #2: [51, 2, 95] from Operation: 4+91=95
Current State: 46:[51, 2, 95], Operations: ['4+91=95']
Exploring Operation: 51-2=49, Resulting Numbers: [95, 49]
Generated Node #3: [95, 49] from Operation: 51-2=49
Current State: 46:[95, 49], Operations: ['4+91=95', '51-2=49']
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[4, 91, 51, 2], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [91, 51, 2]
Generated Node #0,0: 46:[91, 51, 2] Operation: 4-2=2
Exploring Operation: 51-4=47, Resulting Numbers: [91, 2, 47]
Generated Node #0,1: 46:[91, 2, 47] Operation: 51-4=47
Exploring Operation: 91-4=87, Resulting Numbers: [51, 2, 87]
Generated Node #0,2: 46:[51, 2, 87] Operation: 91-4=87
Exploring Operation: 91-51=40, Resulting Numbers: [4, 2, 40]
Generated Node #0,3: 46:[4, 2, 40] Operation: 91-51=40
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[4, 2, 40], Operations: ['91-51=40']
Exploring Operation: 40/2=20, Resulting Numbers: [4, 20]
Generated Node #0,3,0: 46:[4, 20] Operation: 40/2=20
Exploring Operation: 4+40=44, Resulting Numbers: [2, 44]
Generated Node #0,3,1: 46:[2, 44] Operation: 4+40=44
Exploring Operation: 4/2=2, Resulting Numbers: [40, 2]
Generated Node #0,3,2: 46:[40, 2] Operation: 4/2=2
Exploring Operation: 4-2=2, Resulting Numbers: [40, 2]
Generated Node #0,3,3: 46:[40, 2] Operation: 4-2=2
Moving to Node #0,3,1
Current State: 46:[2, 44], Operations: ['91-51=40', '4+40=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,46 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,46 unequal: No Solution
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[4, 91, 51, 2], Operations: []
Exploring Operation: 91-51=40, Resulting Numbers: [4, 2, 40]
Generated Node #0,3: 46:[4, 2, 40] Operation: 91-51=40
Moving to Node #0,3
Current State: 46:[4, 2, 40], Operations: ['91-51=40']
Exploring Operation: 4+40=44, Resulting Numbers: [2, 44]
Generated Node #0,3,1: 46:[2, 44] Operation: 4+40=44
Moving to Node #0,3,1
Current State: 46:[2, 44], Operations: ['91-51=40', '4+40=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
51,
82,
36,
73
] | 47 | [
"82-73=9",
"36/9=4",
"51-4=47"
] | Current State: 47:[51, 82, 36, 73], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [51, 36, 9]
Generated Node #2: [51, 36, 9] from Operation: 82-73=9
Current State: 47:[51, 36, 9], Operations: ['82-73=9']
Exploring Operation: 36/9=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 36/9=4
Current State: 47:[51, 4], Operations: ['82-73=9', '36/9=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[51, 82, 36, 73], Operations: []
Exploring Operation: 73-36=37, Resulting Numbers: [51, 82, 37]
Generated Node #0,0: 47:[51, 82, 37] Operation: 73-36=37
Exploring Operation: 82-36=46, Resulting Numbers: [51, 73, 46]
Generated Node #0,1: 47:[51, 73, 46] Operation: 82-36=46
Moving to Node #0,1
Current State: 47:[51, 73, 46], Operations: ['82-36=46']
Exploring Operation: 73-51=22, Resulting Numbers: [46, 22]
Generated Node #0,1,0: 47:[46, 22] Operation: 73-51=22
Exploring Operation: 73-46=27, Resulting Numbers: [51, 27]
Generated Node #0,1,1: 47:[51, 27] Operation: 73-46=27
Moving to Node #0,0
Current State: 47:[51, 82, 37], Operations: ['73-36=37']
Exploring Operation: 82-51=31, Resulting Numbers: [37, 31]
Generated Node #0,0,0: 47:[37, 31] Operation: 82-51=31
Exploring Operation: 82-37=45, Resulting Numbers: [51, 45]
Generated Node #0,0,1: 47:[51, 45] Operation: 82-37=45
Moving to Node #0,0,1
Current State: 47:[51, 45], Operations: ['73-36=37', '82-37=45']
Exploring Operation: 51+45=96, Resulting Numbers: [96]
96,47 unequal: No Solution
Exploring Operation: 51-45=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[51, 27], Operations: ['82-36=46', '73-46=27']
Exploring Operation: 51-27=24, Resulting Numbers: [24]
24,47 unequal: No Solution
Exploring Operation: 51+27=78, Resulting Numbers: [78]
78,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[46, 22], Operations: ['82-36=46', '73-51=22']
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,47 unequal: No Solution
Exploring Operation: 46+22=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[37, 31], Operations: ['73-36=37', '82-51=31']
Exploring Operation: 37+31=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,47 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
86,
11,
3,
56
] | 31 | [
"86-11=75",
"75/3=25",
"56-25=31"
] | Current State: 31:[86, 11, 3, 56], Operations: []
Exploring Operation: 86-11=75, Resulting Numbers: [3, 56, 75]
Generated Node #2: [3, 56, 75] from Operation: 86-11=75
Current State: 31:[3, 56, 75], Operations: ['86-11=75']
Exploring Operation: 75/3=25, Resulting Numbers: [56, 25]
Generated Node #3: [56, 25] from Operation: 75/3=25
Current State: 31:[56, 25], Operations: ['86-11=75', '75/3=25']
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[86, 11, 3, 56], Operations: []
Exploring Operation: 11*3=33, Resulting Numbers: [86, 56, 33]
Generated Node #0,0: 31:[86, 56, 33] Operation: 11*3=33
Exploring Operation: 86-11=75, Resulting Numbers: [3, 56, 75]
Generated Node #0,1: 31:[3, 56, 75] Operation: 86-11=75
Exploring Operation: 86-56=30, Resulting Numbers: [11, 3, 30]
Generated Node #0,2: 31:[11, 3, 30] Operation: 86-56=30
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[11, 3, 30], Operations: ['86-56=30']
Exploring Operation: 11+3=14, Resulting Numbers: [30, 14]
Generated Node #0,2,0: 31:[30, 14] Operation: 11+3=14
Exploring Operation: 3+30=33, Resulting Numbers: [11, 33]
Generated Node #0,2,1: 31:[11, 33] Operation: 3+30=33
Exploring Operation: 11*3=33, Resulting Numbers: [30, 33]
Generated Node #0,2,2: 31:[30, 33] Operation: 11*3=33
Moving to Node #0,2,2
Current State: 31:[30, 33], Operations: ['86-56=30', '11*3=33']
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,31 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[30, 14], Operations: ['86-56=30', '11+3=14']
Exploring Operation: 30+14=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Exploring Operation: 30*14=420, Resulting Numbers: [420]
420,31 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[11, 33], Operations: ['86-56=30', '3+30=33']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 11+33=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[86, 56, 33], Operations: ['11*3=33']
Exploring Operation: 56-33=23, Resulting Numbers: [86, 23]
Generated Node #0,0,0: 31:[86, 23] Operation: 56-33=23
Exploring Operation: 86-56=30, Resulting Numbers: [33, 30]
Generated Node #0,0,1: 31:[33, 30] Operation: 86-56=30
Exploring Operation: 86-33=53, Resulting Numbers: [56, 53]
Generated Node #0,0,2: 31:[56, 53] Operation: 86-33=53
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 31:[33, 30], Operations: ['11*3=33', '86-56=30']
Exploring Operation: 33*30=990, Resulting Numbers: [990]
990,31 unequal: No Solution
Exploring Operation: 33+30=63, Resulting Numbers: [63]
63,31 unequal: No Solution
Exploring Operation: 33-30=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:[56, 53], Operations: ['11*3=33', '86-33=53']
Exploring Operation: 56-53=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 56*53=2968, Resulting Numbers: [2968]
2968,31 unequal: No Solution
Exploring Operation: 56+53=109, Resulting Numbers: [109]
109,31 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:[86, 23], Operations: ['11*3=33', '56-33=23']
Exploring Operation: 86-23=63, Resulting Numbers: [63]
63,31 unequal: No Solution
Exploring Operation: 86+23=109, Resulting Numbers: [109]
109,31 unequal: No Solution
Exploring Operation: 86*23=1978, Resulting Numbers: [1978]
1978,31 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:[3, 56, 75], Operations: ['86-11=75']
Exploring Operation: 75-56=19, Resulting Numbers: [3, 19]
Generated Node #0,1,0: 31:[3, 19] Operation: 75-56=19
Exploring Operation: 56-3=53, Resulting Numbers: [75, 53]
Generated Node #0,1,1: 31:[75, 53] Operation: 56-3=53
Exploring Operation: 75/3=25, Resulting Numbers: [56, 25]
Generated Node #0,1,2: 31:[56, 25] Operation: 75/3=25
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 31:[56, 25], Operations: ['86-11=75', '75/3=25']
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[86, 11, 3, 56], Operations: []
Exploring Operation: 86-11=75, Resulting Numbers: [3, 56, 75]
Generated Node #0,1: 31:[3, 56, 75] Operation: 86-11=75
Moving to Node #0,1
Current State: 31:[3, 56, 75], Operations: ['86-11=75']
Exploring Operation: 75/3=25, Resulting Numbers: [56, 25]
Generated Node #0,1,2: 31:[56, 25] Operation: 75/3=25
Moving to Node #0,1,2
Current State: 31:[56, 25], Operations: ['86-11=75', '75/3=25']
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
78,
28,
70,
45
] | 60 | [
"28*45=1260",
"1260/70=18",
"78-18=60"
] | Current State: 60:[78, 28, 70, 45], Operations: []
Exploring Operation: 28*45=1260, Resulting Numbers: [78, 70, 1260]
Generated Node #2: [78, 70, 1260] from Operation: 28*45=1260
Current State: 60:[78, 70, 1260], Operations: ['28*45=1260']
Exploring Operation: 1260/70=18, Resulting Numbers: [78, 18]
Generated Node #3: [78, 18] from Operation: 1260/70=18
Current State: 60:[78, 18], Operations: ['28*45=1260', '1260/70=18']
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[78, 28, 70, 45], Operations: []
Exploring Operation: 78-45=33, Resulting Numbers: [28, 70, 33]
Generated Node #0,0: 60:[28, 70, 33] Operation: 78-45=33
Exploring Operation: 78-70=8, Resulting Numbers: [28, 45, 8]
Generated Node #0,1: 60:[28, 45, 8] Operation: 78-70=8
Moving to Node #0,0
Current State: 60:[28, 70, 33], Operations: ['78-45=33']
Exploring Operation: 33-28=5, Resulting Numbers: [70, 5]
Generated Node #0,0,0: 60:[70, 5] Operation: 33-28=5
Exploring Operation: 70-33=37, Resulting Numbers: [28, 37]
Generated Node #0,0,1: 60:[28, 37] Operation: 70-33=37
Moving to Node #0,1
Current State: 60:[28, 45, 8], Operations: ['78-70=8']
Exploring Operation: 45+8=53, Resulting Numbers: [28, 53]
Generated Node #0,1,0: 60:[28, 53] Operation: 45+8=53
Exploring Operation: 45-28=17, Resulting Numbers: [8, 17]
Generated Node #0,1,1: 60:[8, 17] Operation: 45-28=17
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 60:[8, 17], Operations: ['78-70=8', '45-28=17']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,60 unequal: No Solution
No 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: 60:[28, 53], Operations: ['78-70=8', '45+8=53']
Exploring Operation: 28+53=81, Resulting Numbers: [81]
81,60 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,60 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: 60:[28, 37], Operations: ['78-45=33', '70-33=37']
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,60 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[70, 5], Operations: ['78-45=33', '33-28=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,60 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
63,
79,
6,
2
] | 94 | [
"79-63=16",
"6*16=96",
"96-2=94"
] | Current State: 94:[63, 79, 6, 2], Operations: []
Exploring Operation: 79-63=16, Resulting Numbers: [6, 2, 16]
Generated Node #2: [6, 2, 16] from Operation: 79-63=16
Current State: 94:[6, 2, 16], Operations: ['79-63=16']
Exploring Operation: 6*16=96, Resulting Numbers: [2, 96]
Generated Node #3: [2, 96] from Operation: 6*16=96
Current State: 94:[2, 96], Operations: ['79-63=16', '6*16=96']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[63, 79, 6, 2], Operations: []
Exploring Operation: 79-63=16, Resulting Numbers: [6, 2, 16]
Generated Node #0,0: 94:[6, 2, 16] Operation: 79-63=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[6, 2, 16], Operations: ['79-63=16']
Exploring Operation: 6*16=96, Resulting Numbers: [2, 96]
Generated Node #0,0,0: 94:[2, 96] Operation: 6*16=96
Moving to Node #0,0,0
Current State: 94:[2, 96], Operations: ['79-63=16', '6*16=96']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[63, 79, 6, 2], Operations: []
Exploring Operation: 79-63=16, Resulting Numbers: [6, 2, 16]
Generated Node #0,0: 94:[6, 2, 16] Operation: 79-63=16
Moving to Node #0,0
Current State: 94:[6, 2, 16], Operations: ['79-63=16']
Exploring Operation: 6*16=96, Resulting Numbers: [2, 96]
Generated Node #0,0,0: 94:[2, 96] Operation: 6*16=96
Moving to Node #0,0,0
Current State: 94:[2, 96], Operations: ['79-63=16', '6*16=96']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
70,
29,
2,
55
] | 61 | [
"70/2=35",
"55-29=26",
"35+26=61"
] | Current State: 61:[70, 29, 2, 55], Operations: []
Exploring Operation: 70/2=35, Resulting Numbers: [29, 55, 35]
Generated Node #2: [29, 55, 35] from Operation: 70/2=35
Current State: 61:[29, 55, 35], Operations: ['70/2=35']
Exploring Operation: 55-29=26, Resulting Numbers: [35, 26]
Generated Node #3: [35, 26] from Operation: 55-29=26
Current State: 61:[35, 26], Operations: ['70/2=35', '55-29=26']
Exploring Operation: 35+26=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[70, 29, 2, 55], Operations: []
Exploring Operation: 29+2=31, Resulting Numbers: [70, 55, 31]
Generated Node #0,0: 61:[70, 55, 31] Operation: 29+2=31
Exploring Operation: 2+55=57, Resulting Numbers: [70, 29, 57]
Generated Node #0,1: 61:[70, 29, 57] Operation: 2+55=57
Exploring Operation: 29*2=58, Resulting Numbers: [70, 55, 58]
Generated Node #0,2: 61:[70, 55, 58] Operation: 29*2=58
Exploring Operation: 70-2=68, Resulting Numbers: [29, 55, 68]
Generated Node #0,3: 61:[29, 55, 68] Operation: 70-2=68
Moving to Node #0,2
Current State: 61:[70, 55, 58], Operations: ['29*2=58']
Exploring Operation: 70-58=12, Resulting Numbers: [55, 12]
Generated Node #0,2,0: 61:[55, 12] Operation: 70-58=12
Exploring Operation: 55+58=113, Resulting Numbers: [70, 113]
Generated Node #0,2,1: 61:[70, 113] Operation: 55+58=113
Exploring Operation: 70-55=15, Resulting Numbers: [58, 15]
Generated Node #0,2,2: 61:[58, 15] Operation: 70-55=15
Exploring Operation: 70+55=125, Resulting Numbers: [58, 125]
Generated Node #0,2,3: 61:[58, 125] Operation: 70+55=125
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 61:[58, 15], Operations: ['29*2=58', '70-55=15']
Exploring Operation: 58*15=870, Resulting Numbers: [870]
870,61 unequal: No Solution
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[55, 12], Operations: ['29*2=58', '70-58=12']
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,61 unequal: No Solution
Exploring Operation: 55*12=660, Resulting Numbers: [660]
660,61 unequal: No Solution
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[70, 113], Operations: ['29*2=58', '55+58=113']
Exploring Operation: 70+113=183, Resulting Numbers: [183]
183,61 unequal: No Solution
Exploring Operation: 113-70=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Exploring Operation: 70*113=7910, Resulting Numbers: [7910]
7910,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 61:[58, 125], Operations: ['29*2=58', '70+55=125']
Exploring Operation: 58+125=183, Resulting Numbers: [183]
183,61 unequal: No Solution
Exploring Operation: 58*125=7250, Resulting Numbers: [7250]
7250,61 unequal: No Solution
Exploring Operation: 125-58=67, Resulting Numbers: [67]
67,61 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: 61:[70, 29, 57], Operations: ['2+55=57']
Exploring Operation: 70+29=99, Resulting Numbers: [57, 99]
Generated Node #0,1,0: 61:[57, 99] Operation: 70+29=99
Exploring Operation: 29+57=86, Resulting Numbers: [70, 86]
Generated Node #0,1,1: 61:[70, 86] Operation: 29+57=86
Exploring Operation: 70-29=41, Resulting Numbers: [57, 41]
Generated Node #0,1,2: 61:[57, 41] Operation: 70-29=41
Exploring Operation: 57-29=28, Resulting Numbers: [70, 28]
Generated Node #0,1,3: 61:[70, 28] Operation: 57-29=28
Moving to Node #0,0
Current State: 61:[70, 55, 31], Operations: ['29+2=31']
Exploring Operation: 70+31=101, Resulting Numbers: [55, 101]
Generated Node #0,0,0: 61:[55, 101] Operation: 70+31=101
Exploring Operation: 55-31=24, Resulting Numbers: [70, 24]
Generated Node #0,0,1: 61:[70, 24] Operation: 55-31=24
Exploring Operation: 55+31=86, Resulting Numbers: [70, 86]
Generated Node #0,0,2: 61:[70, 86] Operation: 55+31=86
Exploring Operation: 70-31=39, Resulting Numbers: [55, 39]
Generated Node #0,0,3: 61:[55, 39] Operation: 70-31=39
Moving to Node #0,3
Current State: 61:[29, 55, 68], Operations: ['70-2=68']
Exploring Operation: 29+55=84, Resulting Numbers: [68, 84]
Generated Node #0,3,0: 61:[68, 84] Operation: 29+55=84
Exploring Operation: 68-29=39, Resulting Numbers: [55, 39]
Generated Node #0,3,1: 61:[55, 39] Operation: 68-29=39
Exploring Operation: 55-29=26, Resulting Numbers: [68, 26]
Generated Node #0,3,2: 61:[68, 26] Operation: 55-29=26
Exploring Operation: 29+68=97, Resulting Numbers: [55, 97]
Generated Node #0,3,3: 61:[55, 97] Operation: 29+68=97
Moving to Node #0,1,2
Current State: 61:[57, 41], Operations: ['2+55=57', '70-29=41']
Exploring Operation: 57+41=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 57*41=2337, Resulting Numbers: [2337]
2337,61 unequal: No Solution
Exploring Operation: 57-41=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[55, 39], Operations: ['29+2=31', '70-31=39']
Exploring Operation: 55-39=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 55+39=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 55*39=2145, Resulting Numbers: [2145]
2145,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[55, 39], Operations: ['70-2=68', '68-29=39']
Exploring Operation: 55+39=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 55-39=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 55*39=2145, Resulting Numbers: [2145]
2145,61 unequal: No Solution
Moving to Node #0,3,0
Current State: 61:[68, 84], Operations: ['70-2=68', '29+55=84']
Exploring Operation: 68*84=5712, Resulting Numbers: [5712]
5712,61 unequal: No Solution
Exploring Operation: 84-68=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 68+84=152, Resulting Numbers: [152]
152,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[70, 86], Operations: ['29+2=31', '55+31=86']
Exploring Operation: 70+86=156, Resulting Numbers: [156]
156,61 unequal: No Solution
Exploring Operation: 86-70=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 70*86=6020, Resulting Numbers: [6020]
6020,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[70, 86], Operations: ['2+55=57', '29+57=86']
Exploring Operation: 70+86=156, Resulting Numbers: [156]
156,61 unequal: No Solution
Exploring Operation: 86-70=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 70*86=6020, Resulting Numbers: [6020]
6020,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[57, 99], Operations: ['2+55=57', '70+29=99']
Exploring Operation: 57+99=156, Resulting Numbers: [156]
156,61 unequal: No Solution
Exploring Operation: 99-57=42, Resulting Numbers: [42]
42,61 unequal: No Solution
Exploring Operation: 57*99=5643, Resulting Numbers: [5643]
5643,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[55, 97], Operations: ['70-2=68', '29+68=97']
Exploring Operation: 97-55=42, Resulting Numbers: [42]
42,61 unequal: No Solution
Exploring Operation: 55+97=152, Resulting Numbers: [152]
152,61 unequal: No Solution
Exploring Operation: 55*97=5335, Resulting Numbers: [5335]
5335,61 unequal: No Solution
Moving to Node #0,3,2
Current State: 61:[68, 26], Operations: ['70-2=68', '55-29=26']
Exploring Operation: 68*26=1768, Resulting Numbers: [1768]
1768,61 unequal: No Solution
Exploring Operation: 68+26=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[70, 28], Operations: ['2+55=57', '57-29=28']
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,61 unequal: No Solution
Exploring Operation: 70*28=1960, Resulting Numbers: [1960]
1960,61 unequal: No Solution
Exploring Operation: 70+28=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[70, 24], Operations: ['29+2=31', '55-31=24']
Exploring Operation: 70-24=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 70+24=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 70*24=1680, Resulting Numbers: [1680]
1680,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[55, 101], Operations: ['29+2=31', '70+31=101']
Exploring Operation: 101-55=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 55*101=5555, Resulting Numbers: [5555]
5555,61 unequal: No Solution
Exploring Operation: 55+101=156, Resulting Numbers: [156]
156,61 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
3,
9,
99,
87
] | 70 | [
"9/3=3",
"87/3=29",
"99-29=70"
] | Current State: 70:[3, 9, 99, 87], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [99, 87, 3]
Generated Node #2: [99, 87, 3] from Operation: 9/3=3
Current State: 70:[99, 87, 3], Operations: ['9/3=3']
Exploring Operation: 87/3=29, Resulting Numbers: [99, 29]
Generated Node #3: [99, 29] from Operation: 87/3=29
Current State: 70:[99, 29], Operations: ['9/3=3', '87/3=29']
Exploring Operation: 99-29=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[3, 9, 99, 87], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [3, 87, 11]
Generated Node #0,0: 70:[3, 87, 11] Operation: 99/9=11
Exploring Operation: 99-87=12, Resulting Numbers: [3, 9, 12]
Generated Node #0,1: 70:[3, 9, 12] Operation: 99-87=12
Moving to Node #0,1
Current State: 70:[3, 9, 12], Operations: ['99-87=12']
Exploring Operation: 3+12=15, Resulting Numbers: [9, 15]
Generated Node #0,1,0: 70:[9, 15] Operation: 3+12=15
Exploring Operation: 3*12=36, Resulting Numbers: [9, 36]
Generated Node #0,1,1: 70:[9, 36] Operation: 3*12=36
Moving to Node #0,0
Current State: 70:[3, 87, 11], Operations: ['99/9=11']
Exploring Operation: 87-11=76, Resulting Numbers: [3, 76]
Generated Node #0,0,0: 70:[3, 76] Operation: 87-11=76
Exploring Operation: 87/3=29, Resulting Numbers: [11, 29]
Generated Node #0,0,1: 70:[11, 29] Operation: 87/3=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[3, 76], Operations: ['99/9=11', '87-11=76']
Exploring Operation: 3+76=79, Resulting Numbers: [79]
79,70 unequal: No Solution
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[11, 29], Operations: ['99/9=11', '87/3=29']
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,70 unequal: No Solution
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,70 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: 70:[9, 15], Operations: ['99-87=12', '3+12=15']
Exploring Operation: 9+15=24, Resulting Numbers: [24]
24,70 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[9, 36], Operations: ['99-87=12', '3*12=36']
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,70 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
42,
4,
64,
16
] | 58 | [
"4*64=256",
"256/16=16",
"42+16=58"
] | Current State: 58:[42, 4, 64, 16], Operations: []
Exploring Operation: 4*64=256, Resulting Numbers: [42, 16, 256]
Generated Node #2: [42, 16, 256] from Operation: 4*64=256
Current State: 58:[42, 16, 256], Operations: ['4*64=256']
Exploring Operation: 256/16=16, Resulting Numbers: [42, 16]
Generated Node #3: [42, 16] from Operation: 256/16=16
Current State: 58:[42, 16], Operations: ['4*64=256', '256/16=16']
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[42, 4, 64, 16], Operations: []
Exploring Operation: 16/4=4, Resulting Numbers: [42, 64, 4]
Generated Node #0,0: 58:[42, 64, 4] Operation: 16/4=4
Exploring Operation: 42+16=58, Resulting Numbers: [4, 64, 58]
Generated Node #0,1: 58:[4, 64, 58] Operation: 42+16=58
Exploring Operation: 64/16=4, Resulting Numbers: [42, 4, 4]
Generated Node #0,2: 58:[42, 4, 4] Operation: 64/16=4
Exploring Operation: 42-16=26, Resulting Numbers: [4, 64, 26]
Generated Node #0,3: 58:[4, 64, 26] Operation: 42-16=26
Moving to Node #0,1
Current State: 58:[4, 64, 58], Operations: ['42+16=58']
Exploring Operation: 4+58=62, Resulting Numbers: [64, 62]
Generated Node #0,1,0: 58:[64, 62] Operation: 4+58=62
Exploring Operation: 64-58=6, Resulting Numbers: [4, 6]
Generated Node #0,1,1: 58:[4, 6] Operation: 64-58=6
Exploring Operation: 4+64=68, Resulting Numbers: [58, 68]
Generated Node #0,1,2: 58:[58, 68] Operation: 4+64=68
Exploring Operation: 64-4=60, Resulting Numbers: [58, 60]
Generated Node #0,1,3: 58:[58, 60] Operation: 64-4=60
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 58:[58, 60], Operations: ['42+16=58', '64-4=60']
Exploring Operation: 60-58=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 58+60=118, Resulting Numbers: [118]
118,58 unequal: No Solution
Exploring Operation: 58*60=3480, Resulting Numbers: [3480]
3480,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[4, 6], Operations: ['42+16=58', '64-58=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 58:[64, 62], Operations: ['42+16=58', '4+58=62']
Exploring Operation: 64*62=3968, Resulting Numbers: [3968]
3968,58 unequal: No Solution
Exploring Operation: 64+62=126, Resulting Numbers: [126]
126,58 unequal: No Solution
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 58:[58, 68], Operations: ['42+16=58', '4+64=68']
Exploring Operation: 58*68=3944, Resulting Numbers: [3944]
3944,58 unequal: No Solution
Exploring Operation: 68-58=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 58+68=126, Resulting Numbers: [126]
126,58 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: 58:[4, 64, 26], Operations: ['42-16=26']
Exploring Operation: 64-4=60, Resulting Numbers: [26, 60]
Generated Node #0,3,0: 58:[26, 60] Operation: 64-4=60
Exploring Operation: 4+64=68, Resulting Numbers: [26, 68]
Generated Node #0,3,1: 58:[26, 68] Operation: 4+64=68
Exploring Operation: 4+26=30, Resulting Numbers: [64, 30]
Generated Node #0,3,2: 58:[64, 30] Operation: 4+26=30
Exploring Operation: 64-26=38, Resulting Numbers: [4, 38]
Generated Node #0,3,3: 58:[4, 38] Operation: 64-26=38
Moving to Node #0,2
Current State: 58:[42, 4, 4], Operations: ['64/16=4']
Exploring Operation: 42-4=38, Resulting Numbers: [4, 38]
Generated Node #0,2,0: 58:[4, 38] Operation: 42-4=38
Exploring Operation: 42-4=38, Resulting Numbers: [4, 38]
Generated Node #0,2,1: 58:[4, 38] Operation: 42-4=38
Exploring Operation: 42+4=46, Resulting Numbers: [4, 46]
Generated Node #0,2,2: 58:[4, 46] Operation: 42+4=46
Exploring Operation: 42+4=46, Resulting Numbers: [4, 46]
Generated Node #0,2,3: 58:[4, 46] Operation: 42+4=46
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 58:[4, 38], Operations: ['64/16=4', '42-4=38']
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,58 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 58:[4, 38], Operations: ['64/16=4', '42-4=38']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 58:[4, 46], Operations: ['64/16=4', '42+4=46']
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,58 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 58:[4, 46], Operations: ['64/16=4', '42+4=46']
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,58 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,58 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,58 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: 58:[42, 64, 4], Operations: ['16/4=4']
Exploring Operation: 64-42=22, Resulting Numbers: [4, 22]
Generated Node #0,0,0: 58:[4, 22] Operation: 64-42=22
Exploring Operation: 64-4=60, Resulting Numbers: [42, 60]
Generated Node #0,0,1: 58:[42, 60] Operation: 64-4=60
Exploring Operation: 42-4=38, Resulting Numbers: [64, 38]
Generated Node #0,0,2: 58:[64, 38] Operation: 42-4=38
Exploring Operation: 42+4=46, Resulting Numbers: [64, 46]
Generated Node #0,0,3: 58:[64, 46] Operation: 42+4=46
Moving to Node #0,3,0
Current State: 58:[26, 60], Operations: ['42-16=26', '64-4=60']
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 26*60=1560, Resulting Numbers: [1560]
1560,58 unequal: No Solution
Exploring Operation: 26+60=86, Resulting Numbers: [86]
86,58 unequal: No Solution
Moving to Node #0,3,2
Current State: 58:[64, 30], Operations: ['42-16=26', '4+26=30']
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 64+30=94, Resulting Numbers: [94]
94,58 unequal: No Solution
Exploring Operation: 64*30=1920, Resulting Numbers: [1920]
1920,58 unequal: No Solution
Moving to Node #0,0,0
Current State: 58:[4, 22], Operations: ['16/4=4', '64-42=22']
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,58 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Moving to Node #0,3,3
Current State: 58:[4, 38], Operations: ['42-16=26', '64-26=38']
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,58 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Moving to Node #0,3,1
Current State: 58:[26, 68], Operations: ['42-16=26', '4+64=68']
Exploring Operation: 26*68=1768, Resulting Numbers: [1768]
1768,58 unequal: No Solution
Exploring Operation: 26+68=94, Resulting Numbers: [94]
94,58 unequal: No Solution
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[42, 60], Operations: ['16/4=4', '64-4=60']
Exploring Operation: 42*60=2520, Resulting Numbers: [2520]
2520,58 unequal: No Solution
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 42+60=102, Resulting Numbers: [102]
102,58 unequal: No Solution
Moving to Node #0,0,2
Current State: 58:[64, 38], Operations: ['16/4=4', '42-4=38']
Exploring Operation: 64-38=26, Resulting Numbers: [26]
26,58 unequal: No Solution
Exploring Operation: 64+38=102, Resulting Numbers: [102]
102,58 unequal: No Solution
Exploring Operation: 64*38=2432, Resulting Numbers: [2432]
2432,58 unequal: No Solution
Moving to Node #0,0,3
Current State: 58:[64, 46], Operations: ['16/4=4', '42+4=46']
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 64*46=2944, Resulting Numbers: [2944]
2944,58 unequal: No Solution
Exploring Operation: 64+46=110, Resulting Numbers: [110]
110,58 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
55,
93,
58,
16
] | 36 | [
"93-55=38",
"58+16=74",
"74-38=36"
] | Current State: 36:[55, 93, 58, 16], Operations: []
Exploring Operation: 93-55=38, Resulting Numbers: [58, 16, 38]
Generated Node #2: [58, 16, 38] from Operation: 93-55=38
Current State: 36:[58, 16, 38], Operations: ['93-55=38']
Exploring Operation: 58+16=74, Resulting Numbers: [38, 74]
Generated Node #3: [38, 74] from Operation: 58+16=74
Current State: 36:[38, 74], Operations: ['93-55=38', '58+16=74']
Exploring Operation: 74-38=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[55, 93, 58, 16], Operations: []
Exploring Operation: 93-58=35, Resulting Numbers: [55, 16, 35]
Generated Node #0,0: 36:[55, 16, 35] Operation: 93-58=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[55, 16, 35], Operations: ['93-58=35']
Exploring Operation: 55-16=39, Resulting Numbers: [35, 39]
Generated Node #0,0,0: 36:[35, 39] Operation: 55-16=39
Moving to Node #0,0,0
Current State: 36:[35, 39], Operations: ['93-58=35', '55-16=39']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
97,
49,
73,
2
] | 75 | [
"97+49=146",
"73-2=71",
"146-71=75"
] | Current State: 75:[97, 49, 73, 2], Operations: []
Exploring Operation: 97+49=146, Resulting Numbers: [73, 2, 146]
Generated Node #2: [73, 2, 146] from Operation: 97+49=146
Current State: 75:[73, 2, 146], Operations: ['97+49=146']
Exploring Operation: 73-2=71, Resulting Numbers: [146, 71]
Generated Node #3: [146, 71] from Operation: 73-2=71
Current State: 75:[146, 71], Operations: ['97+49=146', '73-2=71']
Exploring Operation: 146-71=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[97, 49, 73, 2], Operations: []
Exploring Operation: 73-49=24, Resulting Numbers: [97, 2, 24]
Generated Node #0,0: 75:[97, 2, 24] Operation: 73-49=24
Exploring Operation: 97-49=48, Resulting Numbers: [73, 2, 48]
Generated Node #0,1: 75:[73, 2, 48] Operation: 97-49=48
Moving to Node #0,0
Current State: 75:[97, 2, 24], Operations: ['73-49=24']
Exploring Operation: 97-2=95, Resulting Numbers: [24, 95]
Generated Node #0,0,0: 75:[24, 95] Operation: 97-2=95
Exploring Operation: 97-24=73, Resulting Numbers: [2, 73]
Generated Node #0,0,1: 75:[2, 73] Operation: 97-24=73
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[2, 73], Operations: ['73-49=24', '97-24=73']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,75 unequal: No Solution
Exploring Operation: 2+73=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[97, 49, 73, 2], Operations: []
Exploring Operation: 73-49=24, Resulting Numbers: [97, 2, 24]
Generated Node #0,0: 75:[97, 2, 24] Operation: 73-49=24
Moving to Node #0,0
Current State: 75:[97, 2, 24], Operations: ['73-49=24']
Exploring Operation: 97-24=73, Resulting Numbers: [2, 73]
Generated Node #0,0,1: 75:[2, 73] Operation: 97-24=73
Moving to Node #0,0,1
Current State: 75:[2, 73], Operations: ['73-49=24', '97-24=73']
Exploring Operation: 2+73=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
66,
60,
70,
12
] | 91 | [
"66+12=78",
"70*78=5460",
"5460/60=91"
] | Current State: 91:[66, 60, 70, 12], Operations: []
Exploring Operation: 66+12=78, Resulting Numbers: [60, 70, 78]
Generated Node #2: [60, 70, 78] from Operation: 66+12=78
Current State: 91:[60, 70, 78], Operations: ['66+12=78']
Exploring Operation: 70*78=5460, Resulting Numbers: [60, 5460]
Generated Node #3: [60, 5460] from Operation: 70*78=5460
Current State: 91:[60, 5460], Operations: ['66+12=78', '70*78=5460']
Exploring Operation: 5460/60=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[66, 60, 70, 12], Operations: []
Exploring Operation: 70-66=4, Resulting Numbers: [60, 12, 4]
Generated Node #0,0: 91:[60, 12, 4] Operation: 70-66=4
Exploring Operation: 70-60=10, Resulting Numbers: [66, 12, 10]
Generated Node #0,1: 91:[66, 12, 10] Operation: 70-60=10
Exploring Operation: 66-60=6, Resulting Numbers: [70, 12, 6]
Generated Node #0,2: 91:[70, 12, 6] Operation: 66-60=6
Moving to Node #0,2
Current State: 91:[70, 12, 6], Operations: ['66-60=6']
Exploring Operation: 70+12=82, Resulting Numbers: [6, 82]
Generated Node #0,2,0: 91:[6, 82] Operation: 70+12=82
Exploring Operation: 70+6=76, Resulting Numbers: [12, 76]
Generated Node #0,2,1: 91:[12, 76] Operation: 70+6=76
Exploring Operation: 12-6=6, Resulting Numbers: [70, 6]
Generated Node #0,2,2: 91:[70, 6] Operation: 12-6=6
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 91:[6, 82], Operations: ['66-60=6', '70+12=82']
Exploring Operation: 6*82=492, Resulting Numbers: [492]
492,91 unequal: No Solution
Exploring Operation: 6+82=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 91:[12, 76], Operations: ['66-60=6', '70+6=76']
Exploring Operation: 12*76=912, Resulting Numbers: [912]
912,91 unequal: No Solution
Exploring Operation: 12+76=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[70, 6], Operations: ['66-60=6', '12-6=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,91 unequal: No Solution
Exploring Operation: 70*6=420, Resulting Numbers: [420]
420,91 unequal: No Solution
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 91:[66, 12, 10], Operations: ['70-60=10']
Exploring Operation: 66+10=76, Resulting Numbers: [12, 76]
Generated Node #0,1,0: 91:[12, 76] Operation: 66+10=76
Exploring Operation: 12-10=2, Resulting Numbers: [66, 2]
Generated Node #0,1,1: 91:[66, 2] Operation: 12-10=2
Exploring Operation: 66+12=78, Resulting Numbers: [10, 78]
Generated Node #0,1,2: 91:[10, 78] Operation: 66+12=78
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[12, 76], Operations: ['70-60=10', '66+10=76']
Exploring Operation: 12*76=912, Resulting Numbers: [912]
912,91 unequal: No Solution
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,91 unequal: No Solution
Exploring Operation: 12+76=88, Resulting Numbers: [88]
88,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[10, 78], Operations: ['70-60=10', '66+12=78']
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,91 unequal: No Solution
Exploring Operation: 10+78=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 10*78=780, Resulting Numbers: [780]
780,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[66, 2], Operations: ['70-60=10', '12-10=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,91 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,91 unequal: No Solution
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,91 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: 91:[60, 12, 4], Operations: ['70-66=4']
Exploring Operation: 60+12=72, Resulting Numbers: [4, 72]
Generated Node #0,0,0: 91:[4, 72] Operation: 60+12=72
Exploring Operation: 60/4=15, Resulting Numbers: [12, 15]
Generated Node #0,0,1: 91:[12, 15] Operation: 60/4=15
Exploring Operation: 60/12=5, Resulting Numbers: [4, 5]
Generated Node #0,0,2: 91:[4, 5] Operation: 60/12=5
Moving to Node #0,0,1
Current State: 91:[12, 15], Operations: ['70-66=4', '60/4=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Exploring Operation: 12*15=180, Resulting Numbers: [180]
180,91 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[4, 5], Operations: ['70-66=4', '60/12=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[4, 72], Operations: ['70-66=4', '60+12=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,91 unequal: No Solution
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,91 unequal: No Solution
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,91 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
80,
14,
81,
80
] | 81 | [
"80-80=0",
"14*0=0",
"81+0=81"
] | Current State: 81:[80, 14, 81, 80], Operations: []
Exploring Operation: 80-80=0, Resulting Numbers: [14, 81, 0]
Generated Node #2: [14, 81, 0] from Operation: 80-80=0
Current State: 81:[14, 81, 0], Operations: ['80-80=0']
Exploring Operation: 14*0=0, Resulting Numbers: [81, 0]
Generated Node #3: [81, 0] from Operation: 14*0=0
Current State: 81:[81, 0], Operations: ['80-80=0', '14*0=0']
Exploring Operation: 81+0=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[80, 14, 81, 80], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [14, 80, 1]
Generated Node #0,0: 81:[14, 80, 1] Operation: 81-80=1
Exploring Operation: 80/80=1, Resulting Numbers: [14, 81, 1]
Generated Node #0,1: 81:[14, 81, 1] Operation: 80/80=1
Moving to Node #0,1
Current State: 81:[14, 81, 1], Operations: ['80/80=1']
Exploring Operation: 14-1=13, Resulting Numbers: [81, 13]
Generated Node #0,1,0: 81:[81, 13] Operation: 14-1=13
Exploring Operation: 14*1=14, Resulting Numbers: [81, 14]
Generated Node #0,1,1: 81:[81, 14] Operation: 14*1=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[81, 13], Operations: ['80/80=1', '14-1=13']
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,81 unequal: No Solution
Exploring Operation: 81+13=94, Resulting Numbers: [94]
94,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[81, 14], Operations: ['80/80=1', '14*1=14']
Exploring Operation: 81+14=95, Resulting Numbers: [95]
95,81 unequal: No Solution
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,81 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: 81:[14, 80, 1], Operations: ['81-80=1']
Exploring Operation: 14-1=13, Resulting Numbers: [80, 13]
Generated Node #0,0,0: 81:[80, 13] Operation: 14-1=13
Exploring Operation: 80+1=81, Resulting Numbers: [14, 81]
Generated Node #0,0,1: 81:[14, 81] Operation: 80+1=81
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[80, 13], Operations: ['81-80=1', '14-1=13']
Exploring Operation: 80+13=93, Resulting Numbers: [93]
93,81 unequal: No Solution
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[14, 81], Operations: ['81-80=1', '80+1=81']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,81 unequal: No Solution
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,81 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 |
[
23,
35,
84,
81
] | 34 | [
"84-81=3",
"23*3=69",
"69-35=34"
] | Current State: 34:[23, 35, 84, 81], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [23, 35, 3]
Generated Node #2: [23, 35, 3] from Operation: 84-81=3
Current State: 34:[23, 35, 3], Operations: ['84-81=3']
Exploring Operation: 23*3=69, Resulting Numbers: [35, 69]
Generated Node #3: [35, 69] from Operation: 23*3=69
Current State: 34:[35, 69], Operations: ['84-81=3', '23*3=69']
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[23, 35, 84, 81], Operations: []
Exploring Operation: 84-23=61, Resulting Numbers: [35, 81, 61]
Generated Node #0,0: 34:[35, 81, 61] Operation: 84-23=61
Exploring Operation: 81-35=46, Resulting Numbers: [23, 84, 46]
Generated Node #0,1: 34:[23, 84, 46] Operation: 81-35=46
Exploring Operation: 84-35=49, Resulting Numbers: [23, 81, 49]
Generated Node #0,2: 34:[23, 81, 49] Operation: 84-35=49
Exploring Operation: 81-23=58, Resulting Numbers: [35, 84, 58]
Generated Node #0,3: 34:[35, 84, 58] Operation: 81-23=58
Exploring Operation: 84-81=3, Resulting Numbers: [23, 35, 3]
Generated Node #0,4: 34:[23, 35, 3] Operation: 84-81=3
Moving to Node #0,4
Current State: 34:[23, 35, 3], Operations: ['84-81=3']
Exploring Operation: 23-3=20, Resulting Numbers: [35, 20]
Generated Node #0,4,0: 34:[35, 20] Operation: 23-3=20
Exploring Operation: 35+3=38, Resulting Numbers: [23, 38]
Generated Node #0,4,1: 34:[23, 38] Operation: 35+3=38
Exploring Operation: 35-23=12, Resulting Numbers: [3, 12]
Generated Node #0,4,2: 34:[3, 12] Operation: 35-23=12
Exploring Operation: 23+3=26, Resulting Numbers: [35, 26]
Generated Node #0,4,3: 34:[35, 26] Operation: 23+3=26
Exploring Operation: 35-3=32, Resulting Numbers: [23, 32]
Generated Node #0,4,4: 34:[23, 32] Operation: 35-3=32
Moving to Node #0,2
Current State: 34:[23, 81, 49], Operations: ['84-35=49']
Exploring Operation: 81-23=58, Resulting Numbers: [49, 58]
Generated Node #0,2,0: 34:[49, 58] Operation: 81-23=58
Exploring Operation: 49-23=26, Resulting Numbers: [81, 26]
Generated Node #0,2,1: 34:[81, 26] Operation: 49-23=26
Exploring Operation: 23+81=104, Resulting Numbers: [49, 104]
Generated Node #0,2,2: 34:[49, 104] Operation: 23+81=104
Exploring Operation: 23+49=72, Resulting Numbers: [81, 72]
Generated Node #0,2,3: 34:[81, 72] Operation: 23+49=72
Exploring Operation: 81-49=32, Resulting Numbers: [23, 32]
Generated Node #0,2,4: 34:[23, 32] Operation: 81-49=32
Moving to Node #0,1
Current State: 34:[23, 84, 46], Operations: ['81-35=46']
Exploring Operation: 84-46=38, Resulting Numbers: [23, 38]
Generated Node #0,1,0: 34:[23, 38] Operation: 84-46=38
Exploring Operation: 46/23=2, Resulting Numbers: [84, 2]
Generated Node #0,1,1: 34:[84, 2] Operation: 46/23=2
Exploring Operation: 46-23=23, Resulting Numbers: [84, 23]
Generated Node #0,1,2: 34:[84, 23] Operation: 46-23=23
Exploring Operation: 23+84=107, Resulting Numbers: [46, 107]
Generated Node #0,1,3: 34:[46, 107] Operation: 23+84=107
Exploring Operation: 84-23=61, Resulting Numbers: [46, 61]
Generated Node #0,1,4: 34:[46, 61] Operation: 84-23=61
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[23, 38], Operations: ['81-35=46', '84-46=38']
Exploring Operation: 23*38=874, Resulting Numbers: [874]
874,34 unequal: No Solution
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 34:[46, 61], Operations: ['81-35=46', '84-23=61']
Exploring Operation: 46*61=2806, Resulting Numbers: [2806]
2806,34 unequal: No Solution
Exploring Operation: 46+61=107, Resulting Numbers: [107]
107,34 unequal: No Solution
Exploring Operation: 61-46=15, Resulting Numbers: [15]
15,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[84, 2], Operations: ['81-35=46', '46/23=2']
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,34 unequal: No Solution
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,34 unequal: No Solution
Exploring Operation: 84*2=168, Resulting Numbers: [168]
168,34 unequal: No Solution
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 34:[84, 23], Operations: ['81-35=46', '46-23=23']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 84+23=107, Resulting Numbers: [107]
107,34 unequal: No Solution
Exploring Operation: 84*23=1932, Resulting Numbers: [1932]
1932,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 34:[46, 107], Operations: ['81-35=46', '23+84=107']
Exploring Operation: 46*107=4922, Resulting Numbers: [4922]
4922,34 unequal: No Solution
Exploring Operation: 107-46=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 46+107=153, Resulting Numbers: [153]
153,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 34:[35, 81, 61], Operations: ['84-23=61']
Exploring Operation: 81-61=20, Resulting Numbers: [35, 20]
Generated Node #0,0,0: 34:[35, 20] Operation: 81-61=20
Exploring Operation: 35+61=96, Resulting Numbers: [81, 96]
Generated Node #0,0,1: 34:[81, 96] Operation: 35+61=96
Exploring Operation: 81-35=46, Resulting Numbers: [61, 46]
Generated Node #0,0,2: 34:[61, 46] Operation: 81-35=46
Exploring Operation: 61-35=26, Resulting Numbers: [81, 26]
Generated Node #0,0,3: 34:[81, 26] Operation: 61-35=26
Exploring Operation: 35+81=116, Resulting Numbers: [61, 116]
Generated Node #0,0,4: 34:[61, 116] Operation: 35+81=116
Moving to Node #0,3
Current State: 34:[35, 84, 58], Operations: ['81-23=58']
Exploring Operation: 35+84=119, Resulting Numbers: [58, 119]
Generated Node #0,3,0: 34:[58, 119] Operation: 35+84=119
Exploring Operation: 35+58=93, Resulting Numbers: [84, 93]
Generated Node #0,3,1: 34:[84, 93] Operation: 35+58=93
Exploring Operation: 84-58=26, Resulting Numbers: [35, 26]
Generated Node #0,3,2: 34:[35, 26] Operation: 84-58=26
Exploring Operation: 84-35=49, Resulting Numbers: [58, 49]
Generated Node #0,3,3: 34:[58, 49] Operation: 84-35=49
Exploring Operation: 58-35=23, Resulting Numbers: [84, 23]
Generated Node #0,3,4: 34:[84, 23] Operation: 58-35=23
Moving to Node #0,4,0
Current State: 34:[35, 20], Operations: ['84-81=3', '23-3=20']
Exploring Operation: 35*20=700, Resulting Numbers: [700]
700,34 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[35, 20], Operations: ['84-23=61', '81-61=20']
Exploring Operation: 35*20=700, Resulting Numbers: [700]
700,34 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Moving to Node #0,4,2
Current State: 34:[3, 12], Operations: ['84-81=3', '35-23=12']
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,34 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Moving to Node #0,4,4
Current State: 34:[23, 32], Operations: ['84-81=3', '35-3=32']
Exploring Operation: 23+32=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 23*32=736, Resulting Numbers: [736]
736,34 unequal: No Solution
Moving to Node #0,2,4
Current State: 34:[23, 32], Operations: ['84-35=49', '81-49=32']
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 23*32=736, Resulting Numbers: [736]
736,34 unequal: No Solution
Exploring Operation: 23+32=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Moving to Node #0,4,3
Current State: 34:[35, 26], Operations: ['84-81=3', '23+3=26']
Exploring Operation: 35+26=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 35*26=910, Resulting Numbers: [910]
910,34 unequal: No Solution
Moving to Node #0,3,2
Current State: 34:[35, 26], Operations: ['81-23=58', '84-58=26']
Exploring Operation: 35*26=910, Resulting Numbers: [910]
910,34 unequal: No Solution
Exploring Operation: 35+26=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Moving to Node #0,4,1
Current State: 34:[23, 38], Operations: ['84-81=3', '35+3=38']
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 23*38=874, Resulting Numbers: [874]
874,34 unequal: No Solution
Moving to Node #0,2,0
Current State: 34:[49, 58], Operations: ['84-35=49', '81-23=58']
Exploring Operation: 49*58=2842, Resulting Numbers: [2842]
2842,34 unequal: No Solution
Exploring Operation: 49+58=107, Resulting Numbers: [107]
107,34 unequal: No Solution
Exploring Operation: 58-49=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[61, 46], Operations: ['84-23=61', '81-35=46']
Exploring Operation: 61-46=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 61*46=2806, Resulting Numbers: [2806]
2806,34 unequal: No Solution
Exploring Operation: 61+46=107, Resulting Numbers: [107]
107,34 unequal: No Solution
Moving to Node #0,3,3
Current State: 34:[58, 49], Operations: ['81-23=58', '84-35=49']
Exploring Operation: 58+49=107, Resulting Numbers: [107]
107,34 unequal: No Solution
Exploring Operation: 58-49=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 58*49=2842, Resulting Numbers: [2842]
2842,34 unequal: No Solution
Moving to Node #0,0,3
Current State: 34:[81, 26], Operations: ['84-23=61', '61-35=26']
Exploring Operation: 81-26=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Exploring Operation: 81+26=107, Resulting Numbers: [107]
107,34 unequal: No Solution
Exploring Operation: 81*26=2106, Resulting Numbers: [2106]
2106,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[81, 26], Operations: ['84-35=49', '49-23=26']
Exploring Operation: 81*26=2106, Resulting Numbers: [2106]
2106,34 unequal: No Solution
Exploring Operation: 81+26=107, Resulting Numbers: [107]
107,34 unequal: No Solution
Exploring Operation: 81-26=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Moving to Node #0,3,4
Current State: 34:[84, 23], Operations: ['81-23=58', '58-35=23']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 84+23=107, Resulting Numbers: [107]
107,34 unequal: No Solution
Exploring Operation: 84*23=1932, Resulting Numbers: [1932]
1932,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[49, 104], Operations: ['84-35=49', '23+81=104']
Exploring Operation: 104-49=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Exploring Operation: 49*104=5096, Resulting Numbers: [5096]
5096,34 unequal: No Solution
Exploring Operation: 49+104=153, Resulting Numbers: [153]
153,34 unequal: No Solution
Moving to Node #0,2,3
Current State: 34:[81, 72], Operations: ['84-35=49', '23+49=72']
Exploring Operation: 81+72=153, Resulting Numbers: [153]
153,34 unequal: No Solution
Exploring Operation: 81*72=5832, Resulting Numbers: [5832]
5832,34 unequal: No Solution
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Moving to Node #0,3,0
Current State: 34:[58, 119], Operations: ['81-23=58', '35+84=119']
Exploring Operation: 119-58=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 58+119=177, Resulting Numbers: [177]
177,34 unequal: No Solution
Exploring Operation: 58*119=6902, Resulting Numbers: [6902]
6902,34 unequal: No Solution
Moving to Node #0,0,4
Current State: 34:[61, 116], Operations: ['84-23=61', '35+81=116']
Exploring Operation: 61*116=7076, Resulting Numbers: [7076]
7076,34 unequal: No Solution
Exploring Operation: 61+116=177, Resulting Numbers: [177]
177,34 unequal: No Solution
Exploring Operation: 116-61=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Moving to Node #0,3,1
Current State: 34:[84, 93], Operations: ['81-23=58', '35+58=93']
Exploring Operation: 84+93=177, Resulting Numbers: [177]
177,34 unequal: No Solution
Exploring Operation: 93-84=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 84*93=7812, Resulting Numbers: [7812]
7812,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[81, 96], Operations: ['84-23=61', '35+61=96']
Exploring Operation: 96-81=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 81*96=7776, Resulting Numbers: [7776]
7776,34 unequal: No Solution
Exploring Operation: 81+96=177, Resulting Numbers: [177]
177,34 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
72,
14,
21,
46
] | 62 | [
"72*21=1512",
"1512/14=108",
"108-46=62"
] | Current State: 62:[72, 14, 21, 46], Operations: []
Exploring Operation: 72*21=1512, Resulting Numbers: [14, 46, 1512]
Generated Node #2: [14, 46, 1512] from Operation: 72*21=1512
Current State: 62:[14, 46, 1512], Operations: ['72*21=1512']
Exploring Operation: 1512/14=108, Resulting Numbers: [46, 108]
Generated Node #3: [46, 108] from Operation: 1512/14=108
Current State: 62:[46, 108], Operations: ['72*21=1512', '1512/14=108']
Exploring Operation: 108-46=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[72, 14, 21, 46], Operations: []
Exploring Operation: 21+46=67, Resulting Numbers: [72, 14, 67]
Generated Node #0,0: 62:[72, 14, 67] Operation: 21+46=67
Exploring Operation: 46-14=32, Resulting Numbers: [72, 21, 32]
Generated Node #0,1: 62:[72, 21, 32] Operation: 46-14=32
Exploring Operation: 46-21=25, Resulting Numbers: [72, 14, 25]
Generated Node #0,2: 62:[72, 14, 25] Operation: 46-21=25
Exploring Operation: 72-46=26, Resulting Numbers: [14, 21, 26]
Generated Node #0,3: 62:[14, 21, 26] Operation: 72-46=26
Exploring Operation: 14+46=60, Resulting Numbers: [72, 21, 60]
Generated Node #0,4: 62:[72, 21, 60] Operation: 14+46=60
Moving to Node #0,1
Current State: 62:[72, 21, 32], Operations: ['46-14=32']
Exploring Operation: 32-21=11, Resulting Numbers: [72, 11]
Generated Node #0,1,0: 62:[72, 11] Operation: 32-21=11
Exploring Operation: 72-21=51, Resulting Numbers: [32, 51]
Generated Node #0,1,1: 62:[32, 51] Operation: 72-21=51
Exploring Operation: 21+32=53, Resulting Numbers: [72, 53]
Generated Node #0,1,2: 62:[72, 53] Operation: 21+32=53
Exploring Operation: 72+21=93, Resulting Numbers: [32, 93]
Generated Node #0,1,3: 62:[32, 93] Operation: 72+21=93
Exploring Operation: 72-32=40, Resulting Numbers: [21, 40]
Generated Node #0,1,4: 62:[21, 40] Operation: 72-32=40
Moving to Node #0,4
Current State: 62:[72, 21, 60], Operations: ['14+46=60']
Exploring Operation: 21+60=81, Resulting Numbers: [72, 81]
Generated Node #0,4,0: 62:[72, 81] Operation: 21+60=81
Exploring Operation: 72-60=12, Resulting Numbers: [21, 12]
Generated Node #0,4,1: 62:[21, 12] Operation: 72-60=12
Exploring Operation: 72-21=51, Resulting Numbers: [60, 51]
Generated Node #0,4,2: 62:[60, 51] Operation: 72-21=51
Exploring Operation: 60-21=39, Resulting Numbers: [72, 39]
Generated Node #0,4,3: 62:[72, 39] Operation: 60-21=39
Exploring Operation: 72+21=93, Resulting Numbers: [60, 93]
Generated Node #0,4,4: 62:[60, 93] Operation: 72+21=93
Moving to Node #0,0
Current State: 62:[72, 14, 67], Operations: ['21+46=67']
Exploring Operation: 72-67=5, Resulting Numbers: [14, 5]
Generated Node #0,0,0: 62:[14, 5] Operation: 72-67=5
Exploring Operation: 72+14=86, Resulting Numbers: [67, 86]
Generated Node #0,0,1: 62:[67, 86] Operation: 72+14=86
Exploring Operation: 67-14=53, Resulting Numbers: [72, 53]
Generated Node #0,0,2: 62:[72, 53] Operation: 67-14=53
Exploring Operation: 72-14=58, Resulting Numbers: [67, 58]
Generated Node #0,0,3: 62:[67, 58] Operation: 72-14=58
Exploring Operation: 14+67=81, Resulting Numbers: [72, 81]
Generated Node #0,0,4: 62:[72, 81] Operation: 14+67=81
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 62:[67, 58], Operations: ['21+46=67', '72-14=58']
Exploring Operation: 67*58=3886, Resulting Numbers: [3886]
3886,62 unequal: No Solution
Exploring Operation: 67+58=125, Resulting Numbers: [125]
125,62 unequal: No Solution
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[14, 5], Operations: ['21+46=67', '72-67=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,62 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[72, 53], Operations: ['21+46=67', '67-14=53']
Exploring Operation: 72+53=125, Resulting Numbers: [125]
125,62 unequal: No Solution
Exploring Operation: 72-53=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 72*53=3816, Resulting Numbers: [3816]
3816,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[67, 86], Operations: ['21+46=67', '72+14=86']
Exploring Operation: 67*86=5762, Resulting Numbers: [5762]
5762,62 unequal: No Solution
Exploring Operation: 86-67=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 67+86=153, Resulting Numbers: [153]
153,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 62:[72, 81], Operations: ['21+46=67', '14+67=81']
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 72*81=5832, Resulting Numbers: [5832]
5832,62 unequal: No Solution
Exploring Operation: 72+81=153, Resulting Numbers: [153]
153,62 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: 62:[14, 21, 26], Operations: ['72-46=26']
Exploring Operation: 26-14=12, Resulting Numbers: [21, 12]
Generated Node #0,3,0: 62:[21, 12] Operation: 26-14=12
Exploring Operation: 26-21=5, Resulting Numbers: [14, 5]
Generated Node #0,3,1: 62:[14, 5] Operation: 26-21=5
Exploring Operation: 21-14=7, Resulting Numbers: [26, 7]
Generated Node #0,3,2: 62:[26, 7] Operation: 21-14=7
Exploring Operation: 14+26=40, Resulting Numbers: [21, 40]
Generated Node #0,3,3: 62:[21, 40] Operation: 14+26=40
Exploring Operation: 14+21=35, Resulting Numbers: [26, 35]
Generated Node #0,3,4: 62:[26, 35] Operation: 14+21=35
Moving to Node #0,2
Current State: 62:[72, 14, 25], Operations: ['46-21=25']
Exploring Operation: 72-14=58, Resulting Numbers: [25, 58]
Generated Node #0,2,0: 62:[25, 58] Operation: 72-14=58
Exploring Operation: 72+14=86, Resulting Numbers: [25, 86]
Generated Node #0,2,1: 62:[25, 86] Operation: 72+14=86
Exploring Operation: 14+25=39, Resulting Numbers: [72, 39]
Generated Node #0,2,2: 62:[72, 39] Operation: 14+25=39
Exploring Operation: 25-14=11, Resulting Numbers: [72, 11]
Generated Node #0,2,3: 62:[72, 11] Operation: 25-14=11
Exploring Operation: 72-25=47, Resulting Numbers: [14, 47]
Generated Node #0,2,4: 62:[14, 47] Operation: 72-25=47
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[25, 58], Operations: ['46-21=25', '72-14=58']
Exploring Operation: 25*58=1450, Resulting Numbers: [1450]
1450,62 unequal: No Solution
Exploring Operation: 25+58=83, Resulting Numbers: [83]
83,62 unequal: No Solution
Exploring Operation: 58-25=33, Resulting Numbers: [33]
33,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 62:[72, 39], Operations: ['46-21=25', '14+25=39']
Exploring Operation: 72+39=111, Resulting Numbers: [111]
111,62 unequal: No Solution
Exploring Operation: 72*39=2808, Resulting Numbers: [2808]
2808,62 unequal: No Solution
Exploring Operation: 72-39=33, Resulting Numbers: [33]
33,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 62:[72, 11], Operations: ['46-21=25', '25-14=11']
Exploring Operation: 72*11=792, Resulting Numbers: [792]
792,62 unequal: No Solution
Exploring Operation: 72+11=83, Resulting Numbers: [83]
83,62 unequal: No Solution
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 62:[14, 47], Operations: ['46-21=25', '72-25=47']
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 14*47=658, Resulting Numbers: [658]
658,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 62:[25, 86], Operations: ['46-21=25', '72+14=86']
Exploring Operation: 25*86=2150, Resulting Numbers: [2150]
2150,62 unequal: No Solution
Exploring Operation: 86-25=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 25+86=111, Resulting Numbers: [111]
111,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,4
Current State: 62:[26, 35], Operations: ['72-46=26', '14+21=35']
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 26*35=910, Resulting Numbers: [910]
910,62 unequal: No Solution
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Moving to Node #0,3,2
Current State: 62:[26, 7], Operations: ['72-46=26', '21-14=7']
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 26*7=182, Resulting Numbers: [182]
182,62 unequal: No Solution
Moving to Node #0,1,1
Current State: 62:[32, 51], Operations: ['46-14=32', '72-21=51']
Exploring Operation: 51-32=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 32+51=83, Resulting Numbers: [83]
83,62 unequal: No Solution
Exploring Operation: 32*51=1632, Resulting Numbers: [1632]
1632,62 unequal: No Solution
Moving to Node #0,4,2
Current State: 62:[60, 51], Operations: ['14+46=60', '72-21=51']
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 60*51=3060, Resulting Numbers: [3060]
3060,62 unequal: No Solution
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,62 unequal: No Solution
Moving to Node #0,3,1
Current State: 62:[14, 5], Operations: ['72-46=26', '26-21=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,62 unequal: No Solution
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Moving to Node #0,4,3
Current State: 62:[72, 39], Operations: ['14+46=60', '60-21=39']
Exploring Operation: 72+39=111, Resulting Numbers: [111]
111,62 unequal: No Solution
Exploring Operation: 72-39=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 72*39=2808, Resulting Numbers: [2808]
2808,62 unequal: No Solution
Moving to Node #0,1,2
Current State: 62:[72, 53], Operations: ['46-14=32', '21+32=53']
Exploring Operation: 72-53=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 72*53=3816, Resulting Numbers: [3816]
3816,62 unequal: No Solution
Exploring Operation: 72+53=125, Resulting Numbers: [125]
125,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[72, 11], Operations: ['46-14=32', '32-21=11']
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 72*11=792, Resulting Numbers: [792]
792,62 unequal: No Solution
Exploring Operation: 72+11=83, Resulting Numbers: [83]
83,62 unequal: No Solution
Moving to Node #0,3,3
Current State: 62:[21, 40], Operations: ['72-46=26', '14+26=40']
Exploring Operation: 21*40=840, Resulting Numbers: [840]
840,62 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Moving to Node #0,1,4
Current State: 62:[21, 40], Operations: ['46-14=32', '72-32=40']
Exploring Operation: 21*40=840, Resulting Numbers: [840]
840,62 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Moving to Node #0,3,0
Current State: 62:[21, 12], Operations: ['72-46=26', '26-14=12']
Exploring Operation: 21+12=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 21*12=252, Resulting Numbers: [252]
252,62 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Moving to Node #0,4,1
Current State: 62:[21, 12], Operations: ['14+46=60', '72-60=12']
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 21*12=252, Resulting Numbers: [252]
252,62 unequal: No Solution
Exploring Operation: 21+12=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Moving to Node #0,4,0
Current State: 62:[72, 81], Operations: ['14+46=60', '21+60=81']
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 72+81=153, Resulting Numbers: [153]
153,62 unequal: No Solution
Exploring Operation: 72*81=5832, Resulting Numbers: [5832]
5832,62 unequal: No Solution
Moving to Node #0,1,3
Current State: 62:[32, 93], Operations: ['46-14=32', '72+21=93']
Exploring Operation: 93-32=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 32*93=2976, Resulting Numbers: [2976]
2976,62 unequal: No Solution
Exploring Operation: 32+93=125, Resulting Numbers: [125]
125,62 unequal: No Solution
Moving to Node #0,4,4
Current State: 62:[60, 93], Operations: ['14+46=60', '72+21=93']
Exploring Operation: 60+93=153, Resulting Numbers: [153]
153,62 unequal: No Solution
Exploring Operation: 93-60=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 60*93=5580, Resulting Numbers: [5580]
5580,62 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
76,
79,
3,
84
] | 85 | [
"79-76=3",
"3/3=1",
"84+1=85"
] | Current State: 85:[76, 79, 3, 84], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [3, 84, 3]
Generated Node #2: [3, 84, 3] from Operation: 79-76=3
Current State: 85:[3, 84, 3], Operations: ['79-76=3']
Exploring Operation: 3/3=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 3/3=1
Current State: 85:[84, 1], Operations: ['79-76=3', '3/3=1']
Exploring Operation: 84+1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[76, 79, 3, 84], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [76, 3, 5]
Generated Node #0,0: 85:[76, 3, 5] Operation: 84-79=5
Exploring Operation: 76+3=79, Resulting Numbers: [79, 84, 79]
Generated Node #0,1: 85:[79, 84, 79] Operation: 76+3=79
Exploring Operation: 84-76=8, Resulting Numbers: [79, 3, 8]
Generated Node #0,2: 85:[79, 3, 8] Operation: 84-76=8
Exploring Operation: 79-76=3, Resulting Numbers: [3, 84, 3]
Generated Node #0,3: 85:[3, 84, 3] Operation: 79-76=3
Moving to Node #0,3
Current State: 85:[3, 84, 3], Operations: ['79-76=3']
Exploring Operation: 84+3=87, Resulting Numbers: [3, 87]
Generated Node #0,3,0: 85:[3, 87] Operation: 84+3=87
Exploring Operation: 3*3=9, Resulting Numbers: [84, 9]
Generated Node #0,3,1: 85:[84, 9] Operation: 3*3=9
Exploring Operation: 3+84=87, Resulting Numbers: [3, 87]
Generated Node #0,3,2: 85:[3, 87] Operation: 3+84=87
Exploring Operation: 3+3=6, Resulting Numbers: [84, 6]
Generated Node #0,3,3: 85:[84, 6] Operation: 3+3=6
Moving to Node #0,2
Current State: 85:[79, 3, 8], Operations: ['84-76=8']
Exploring Operation: 79+8=87, Resulting Numbers: [3, 87]
Generated Node #0,2,0: 85:[3, 87] Operation: 79+8=87
Exploring Operation: 79+3=82, Resulting Numbers: [8, 82]
Generated Node #0,2,1: 85:[8, 82] Operation: 79+3=82
Exploring Operation: 8-3=5, Resulting Numbers: [79, 5]
Generated Node #0,2,2: 85:[79, 5] Operation: 8-3=5
Exploring Operation: 79-3=76, Resulting Numbers: [8, 76]
Generated Node #0,2,3: 85:[8, 76] Operation: 79-3=76
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 85:[3, 87], Operations: ['84-76=8', '79+8=87']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 3*87=261, Resulting Numbers: [261]
261,85 unequal: No Solution
Exploring Operation: 3+87=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,85 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 #0,2,1
Current State: 85:[8, 82], Operations: ['84-76=8', '79+3=82']
Exploring Operation: 8*82=656, Resulting Numbers: [656]
656,85 unequal: No Solution
Exploring Operation: 8+82=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,85 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 #0,2,2
Current State: 85:[79, 5], Operations: ['84-76=8', '8-3=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,85 unequal: No Solution
Exploring Operation: 79*5=395, Resulting Numbers: [395]
395,85 unequal: No Solution
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,85 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 #0,2,3
Current State: 85:[8, 76], Operations: ['84-76=8', '79-3=76']
Exploring Operation: 8*76=608, Resulting Numbers: [608]
608,85 unequal: No Solution
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,85 unequal: No Solution
Exploring Operation: 8+76=84, Resulting Numbers: [84]
84,85 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: 85:[76, 3, 5], Operations: ['84-79=5']
Exploring Operation: 76+5=81, Resulting Numbers: [3, 81]
Generated Node #0,0,0: 85:[3, 81] Operation: 76+5=81
Exploring Operation: 3*5=15, Resulting Numbers: [76, 15]
Generated Node #0,0,1: 85:[76, 15] Operation: 3*5=15
Exploring Operation: 76-3=73, Resulting Numbers: [5, 73]
Generated Node #0,0,2: 85:[5, 73] Operation: 76-3=73
Exploring Operation: 76+3=79, Resulting Numbers: [5, 79]
Generated Node #0,0,3: 85:[5, 79] Operation: 76+3=79
Moving to Node #0,1
Current State: 85:[79, 84, 79], Operations: ['76+3=79']
Exploring Operation: 79-79=0, Resulting Numbers: [84, 0]
Generated Node #0,1,0: 85:[84, 0] Operation: 79-79=0
Exploring Operation: 79/79=1, Resulting Numbers: [84, 1]
Generated Node #0,1,1: 85:[84, 1] Operation: 79/79=1
Exploring Operation: 84-79=5, Resulting Numbers: [79, 5]
Generated Node #0,1,2: 85:[79, 5] Operation: 84-79=5
Exploring Operation: 84-79=5, Resulting Numbers: [79, 5]
Generated Node #0,1,3: 85:[79, 5] Operation: 84-79=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[84, 1], Operations: ['76+3=79', '79/79=1']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,85 unequal: No Solution
Exploring Operation: 84/1=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 84*1=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 84+1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[76, 79, 3, 84], Operations: []
Exploring Operation: 76+3=79, Resulting Numbers: [79, 84, 79]
Generated Node #0,1: 85:[79, 84, 79] Operation: 76+3=79
Moving to Node #0,1
Current State: 85:[79, 84, 79], Operations: ['76+3=79']
Exploring Operation: 79/79=1, Resulting Numbers: [84, 1]
Generated Node #0,1,1: 85:[84, 1] Operation: 79/79=1
Moving to Node #0,1,1
Current State: 85:[84, 1], Operations: ['76+3=79', '79/79=1']
Exploring Operation: 84+1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_4 | mult_heuristic |
[
25,
32,
93,
9
] | 37 | [
"25*32=800",
"93*9=837",
"837-800=37"
] | Current State: 37:[25, 32, 93, 9], Operations: []
Exploring Operation: 25*32=800, Resulting Numbers: [93, 9, 800]
Generated Node #2: [93, 9, 800] from Operation: 25*32=800
Current State: 37:[93, 9, 800], Operations: ['25*32=800']
Exploring Operation: 93*9=837, Resulting Numbers: [800, 837]
Generated Node #3: [800, 837] from Operation: 93*9=837
Current State: 37:[800, 837], Operations: ['25*32=800', '93*9=837']
Exploring Operation: 837-800=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[25, 32, 93, 9], Operations: []
Exploring Operation: 25+9=34, Resulting Numbers: [32, 93, 34]
Generated Node #0,0: 37:[32, 93, 34] Operation: 25+9=34
Exploring Operation: 93-32=61, Resulting Numbers: [25, 9, 61]
Generated Node #0,1: 37:[25, 9, 61] Operation: 93-32=61
Exploring Operation: 93-25=68, Resulting Numbers: [32, 9, 68]
Generated Node #0,2: 37:[32, 9, 68] Operation: 93-25=68
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[32, 93, 34], Operations: ['25+9=34']
Exploring Operation: 93-34=59, Resulting Numbers: [32, 59]
Generated Node #0,0,0: 37:[32, 59] Operation: 93-34=59
Exploring Operation: 32+34=66, Resulting Numbers: [93, 66]
Generated Node #0,0,1: 37:[93, 66] Operation: 32+34=66
Exploring Operation: 93-32=61, Resulting Numbers: [34, 61]
Generated Node #0,0,2: 37:[34, 61] Operation: 93-32=61
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[32, 59], Operations: ['25+9=34', '93-34=59']
Exploring Operation: 32+59=91, Resulting Numbers: [91]
91,37 unequal: No Solution
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 32*59=1888, Resulting Numbers: [1888]
1888,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 37:[34, 61], Operations: ['25+9=34', '93-32=61']
Exploring Operation: 34+61=95, Resulting Numbers: [95]
95,37 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 34*61=2074, Resulting Numbers: [2074]
2074,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 37:[93, 66], Operations: ['25+9=34', '32+34=66']
Exploring Operation: 93*66=6138, Resulting Numbers: [6138]
6138,37 unequal: No Solution
Exploring Operation: 93-66=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 93+66=159, Resulting Numbers: [159]
159,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[25, 9, 61], Operations: ['93-32=61']
Exploring Operation: 61-9=52, Resulting Numbers: [25, 52]
Generated Node #0,1,0: 37:[25, 52] Operation: 61-9=52
Exploring Operation: 25+9=34, Resulting Numbers: [61, 34]
Generated Node #0,1,1: 37:[61, 34] Operation: 25+9=34
Exploring Operation: 61-25=36, Resulting Numbers: [9, 36]
Generated Node #0,1,2: 37:[9, 36] Operation: 61-25=36
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[25, 52], Operations: ['93-32=61', '61-9=52']
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 25+52=77, Resulting Numbers: [77]
77,37 unequal: No Solution
Exploring Operation: 25*52=1300, Resulting Numbers: [1300]
1300,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 37:[61, 34], Operations: ['93-32=61', '25+9=34']
Exploring Operation: 61*34=2074, Resulting Numbers: [2074]
2074,37 unequal: No Solution
Exploring Operation: 61+34=95, Resulting Numbers: [95]
95,37 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 37:[9, 36], Operations: ['93-32=61', '61-25=36']
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,37 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[32, 9, 68], Operations: ['93-25=68']
Exploring Operation: 68-32=36, Resulting Numbers: [9, 36]
Generated Node #0,2,0: 37:[9, 36] Operation: 68-32=36
Exploring Operation: 68-9=59, Resulting Numbers: [32, 59]
Generated Node #0,2,1: 37:[32, 59] Operation: 68-9=59
Exploring Operation: 32+9=41, Resulting Numbers: [68, 41]
Generated Node #0,2,2: 37:[68, 41] Operation: 32+9=41
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 37:[32, 59], Operations: ['93-25=68', '68-9=59']
Exploring Operation: 32*59=1888, Resulting Numbers: [1888]
1888,37 unequal: No Solution
Exploring Operation: 32+59=91, Resulting Numbers: [91]
91,37 unequal: No Solution
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 37:[9, 36], Operations: ['93-25=68', '68-32=36']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 37:[68, 41], Operations: ['93-25=68', '32+9=41']
Exploring Operation: 68*41=2788, Resulting Numbers: [2788]
2788,37 unequal: No Solution
Exploring Operation: 68+41=109, Resulting Numbers: [109]
109,37 unequal: No Solution
Exploring Operation: 68-41=27, Resulting Numbers: [27]
27,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
59,
77,
6,
79
] | 85 | [
"77+79=156",
"156/6=26",
"59+26=85"
] | Current State: 85:[59, 77, 6, 79], Operations: []
Exploring Operation: 77+79=156, Resulting Numbers: [59, 6, 156]
Generated Node #2: [59, 6, 156] from Operation: 77+79=156
Current State: 85:[59, 6, 156], Operations: ['77+79=156']
Exploring Operation: 156/6=26, Resulting Numbers: [59, 26]
Generated Node #3: [59, 26] from Operation: 156/6=26
Current State: 85:[59, 26], Operations: ['77+79=156', '156/6=26']
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[59, 77, 6, 79], Operations: []
Exploring Operation: 77-59=18, Resulting Numbers: [6, 79, 18]
Generated Node #0,0: 85:[6, 79, 18] Operation: 77-59=18
Exploring Operation: 59+6=65, Resulting Numbers: [77, 79, 65]
Generated Node #0,1: 85:[77, 79, 65] Operation: 59+6=65
Exploring Operation: 79-59=20, Resulting Numbers: [77, 6, 20]
Generated Node #0,2: 85:[77, 6, 20] Operation: 79-59=20
Exploring Operation: 79-77=2, Resulting Numbers: [59, 6, 2]
Generated Node #0,3: 85:[59, 6, 2] Operation: 79-77=2
Moving to Node #0,0
Current State: 85:[6, 79, 18], Operations: ['77-59=18']
Exploring Operation: 18/6=3, Resulting Numbers: [79, 3]
Generated Node #0,0,0: 85:[79, 3] Operation: 18/6=3
Exploring Operation: 18-6=12, Resulting Numbers: [79, 12]
Generated Node #0,0,1: 85:[79, 12] Operation: 18-6=12
Exploring Operation: 79-6=73, Resulting Numbers: [18, 73]
Generated Node #0,0,2: 85:[18, 73] Operation: 79-6=73
Exploring Operation: 6+79=85, Resulting Numbers: [18, 85]
Generated Node #0,0,3: 85:[18, 85] Operation: 6+79=85
Moving to Node #0,2
Current State: 85:[77, 6, 20], Operations: ['79-59=20']
Exploring Operation: 77+20=97, Resulting Numbers: [6, 97]
Generated Node #0,2,0: 85:[6, 97] Operation: 77+20=97
Exploring Operation: 77-6=71, Resulting Numbers: [20, 71]
Generated Node #0,2,1: 85:[20, 71] Operation: 77-6=71
Exploring Operation: 20-6=14, Resulting Numbers: [77, 14]
Generated Node #0,2,2: 85:[77, 14] Operation: 20-6=14
Exploring Operation: 77+6=83, Resulting Numbers: [20, 83]
Generated Node #0,2,3: 85:[20, 83] Operation: 77+6=83
Moving to Node #0,3
Current State: 85:[59, 6, 2], Operations: ['79-77=2']
Exploring Operation: 59+6=65, Resulting Numbers: [2, 65]
Generated Node #0,3,0: 85:[2, 65] Operation: 59+6=65
Exploring Operation: 59+2=61, Resulting Numbers: [6, 61]
Generated Node #0,3,1: 85:[6, 61] Operation: 59+2=61
Exploring Operation: 6/2=3, Resulting Numbers: [59, 3]
Generated Node #0,3,2: 85:[59, 3] Operation: 6/2=3
Exploring Operation: 6-2=4, Resulting Numbers: [59, 4]
Generated Node #0,3,3: 85:[59, 4] Operation: 6-2=4
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 85:[2, 65], Operations: ['79-77=2', '59+6=65']
Exploring Operation: 2*65=130, Resulting Numbers: [130]
130,85 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 85:[6, 61], Operations: ['79-77=2', '59+2=61']
Exploring Operation: 6*61=366, Resulting Numbers: [366]
366,85 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,85 unequal: No Solution
Exploring Operation: 6+61=67, Resulting Numbers: [67]
67,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 85:[59, 4], Operations: ['79-77=2', '6-2=4']
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,85 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,85 unequal: No Solution
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 85:[59, 3], Operations: ['79-77=2', '6/2=3']
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,85 unequal: No Solution
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,85 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 85:[77, 79, 65], Operations: ['59+6=65']
Exploring Operation: 77-65=12, Resulting Numbers: [79, 12]
Generated Node #0,1,0: 85:[79, 12] Operation: 77-65=12
Exploring Operation: 79-77=2, Resulting Numbers: [65, 2]
Generated Node #0,1,1: 85:[65, 2] Operation: 79-77=2
Exploring Operation: 77+65=142, Resulting Numbers: [79, 142]
Generated Node #0,1,2: 85:[79, 142] Operation: 77+65=142
Exploring Operation: 79-65=14, Resulting Numbers: [77, 14]
Generated Node #0,1,3: 85:[77, 14] Operation: 79-65=14
Moving to Node #0,0,3
Current State: 85:[18, 85], Operations: ['77-59=18', '6+79=85']
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Exploring Operation: 18*85=1530, Resulting Numbers: [1530]
1530,85 unequal: No Solution
Exploring Operation: 18+85=103, Resulting Numbers: [103]
103,85 unequal: No Solution
Moving to Node #0,2,3
Current State: 85:[20, 83], Operations: ['79-59=20', '77+6=83']
Exploring Operation: 20+83=103, Resulting Numbers: [103]
103,85 unequal: No Solution
Exploring Operation: 20*83=1660, Resulting Numbers: [1660]
1660,85 unequal: No Solution
Exploring Operation: 83-20=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Moving to Node #0,0,0
Current State: 85:[79, 3], Operations: ['77-59=18', '18/6=3']
Exploring Operation: 79*3=237, Resulting Numbers: [237]
237,85 unequal: No Solution
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,85 unequal: No Solution
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[79, 12], Operations: ['77-59=18', '18-6=12']
Exploring Operation: 79*12=948, Resulting Numbers: [948]
948,85 unequal: No Solution
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Moving to Node #0,2,2
Current State: 85:[77, 14], Operations: ['79-59=20', '20-6=14']
Exploring Operation: 77-14=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 77*14=1078, Resulting Numbers: [1078]
1078,85 unequal: No Solution
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Moving to Node #0,1,3
Current State: 85:[77, 14], Operations: ['59+6=65', '79-65=14']
Exploring Operation: 77-14=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 77*14=1078, Resulting Numbers: [1078]
1078,85 unequal: No Solution
Moving to Node #0,1,0
Current State: 85:[79, 12], Operations: ['59+6=65', '77-65=12']
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Exploring Operation: 79*12=948, Resulting Numbers: [948]
948,85 unequal: No Solution
Moving to Node #0,2,0
Current State: 85:[6, 97], Operations: ['79-59=20', '77+20=97']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 6*97=582, Resulting Numbers: [582]
582,85 unequal: No Solution
Exploring Operation: 6+97=103, Resulting Numbers: [103]
103,85 unequal: No Solution
Moving to Node #0,0,2
Current State: 85:[18, 73], Operations: ['77-59=18', '79-6=73']
Exploring Operation: 18*73=1314, Resulting Numbers: [1314]
1314,85 unequal: No Solution
Exploring Operation: 18+73=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,85 unequal: No Solution
Moving to Node #0,2,1
Current State: 85:[20, 71], Operations: ['79-59=20', '77-6=71']
Exploring Operation: 20+71=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,85 unequal: No Solution
Exploring Operation: 20*71=1420, Resulting Numbers: [1420]
1420,85 unequal: No Solution
Moving to Node #0,1,1
Current State: 85:[65, 2], Operations: ['59+6=65', '79-77=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 65*2=130, Resulting Numbers: [130]
130,85 unequal: No Solution
Moving to Node #0,1,2
Current State: 85:[79, 142], Operations: ['59+6=65', '77+65=142']
Exploring Operation: 79*142=11218, Resulting Numbers: [11218]
11218,85 unequal: No Solution
Exploring Operation: 142-79=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 79+142=221, Resulting Numbers: [221]
221,85 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
20,
2,
86,
12
] | 45 | [
"86-20=66",
"66/2=33",
"12+33=45"
] | Current State: 45:[20, 2, 86, 12], Operations: []
Exploring Operation: 86-20=66, Resulting Numbers: [2, 12, 66]
Generated Node #2: [2, 12, 66] from Operation: 86-20=66
Current State: 45:[2, 12, 66], Operations: ['86-20=66']
Exploring Operation: 66/2=33, Resulting Numbers: [12, 33]
Generated Node #3: [12, 33] from Operation: 66/2=33
Current State: 45:[12, 33], Operations: ['86-20=66', '66/2=33']
Exploring Operation: 12+33=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[20, 2, 86, 12], Operations: []
Exploring Operation: 86/2=43, Resulting Numbers: [20, 12, 43]
Generated Node #0,0: 45:[20, 12, 43] Operation: 86/2=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[20, 12, 43], Operations: ['86/2=43']
Exploring Operation: 20-12=8, Resulting Numbers: [43, 8]
Generated Node #0,0,0: 45:[43, 8] Operation: 20-12=8
Moving to Node #0,0,0
Current State: 45:[43, 8], Operations: ['86/2=43', '20-12=8']
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,45 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 |
[
91,
27,
72,
5
] | 36 | [
"91+5=96",
"27*96=2592",
"2592/72=36"
] | Current State: 36:[91, 27, 72, 5], Operations: []
Exploring Operation: 91+5=96, Resulting Numbers: [27, 72, 96]
Generated Node #2: [27, 72, 96] from Operation: 91+5=96
Current State: 36:[27, 72, 96], Operations: ['91+5=96']
Exploring Operation: 27*96=2592, Resulting Numbers: [72, 2592]
Generated Node #3: [72, 2592] from Operation: 27*96=2592
Current State: 36:[72, 2592], Operations: ['91+5=96', '27*96=2592']
Exploring Operation: 2592/72=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[91, 27, 72, 5], Operations: []
Exploring Operation: 91-72=19, Resulting Numbers: [27, 5, 19]
Generated Node #0,0: 36:[27, 5, 19] Operation: 91-72=19
Exploring Operation: 91-27=64, Resulting Numbers: [72, 5, 64]
Generated Node #0,1: 36:[72, 5, 64] Operation: 91-27=64
Exploring Operation: 72-27=45, Resulting Numbers: [91, 5, 45]
Generated Node #0,2: 36:[91, 5, 45] Operation: 72-27=45
Moving to Node #0,0
Current State: 36:[27, 5, 19], Operations: ['91-72=19']
Exploring Operation: 27-19=8, Resulting Numbers: [5, 8]
Generated Node #0,0,0: 36:[5, 8] Operation: 27-19=8
Exploring Operation: 27-5=22, Resulting Numbers: [19, 22]
Generated Node #0,0,1: 36:[19, 22] Operation: 27-5=22
Exploring Operation: 27+5=32, Resulting Numbers: [19, 32]
Generated Node #0,0,2: 36:[19, 32] Operation: 27+5=32
Moving to Node #0,1
Current State: 36:[72, 5, 64], Operations: ['91-27=64']
Exploring Operation: 72-5=67, Resulting Numbers: [64, 67]
Generated Node #0,1,0: 36:[64, 67] Operation: 72-5=67
Exploring Operation: 72-64=8, Resulting Numbers: [5, 8]
Generated Node #0,1,1: 36:[5, 8] Operation: 72-64=8
Exploring Operation: 64-5=59, Resulting Numbers: [72, 59]
Generated Node #0,1,2: 36:[72, 59] Operation: 64-5=59
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[5, 8], Operations: ['91-27=64', '72-64=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,36 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 #0,1,0
Current State: 36:[64, 67], Operations: ['91-27=64', '72-5=67']
Exploring Operation: 67-64=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 64+67=131, Resulting Numbers: [131]
131,36 unequal: No Solution
Exploring Operation: 64*67=4288, Resulting Numbers: [4288]
4288,36 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 #0,1,2
Current State: 36:[72, 59], Operations: ['91-27=64', '64-5=59']
Exploring Operation: 72*59=4248, Resulting Numbers: [4248]
4248,36 unequal: No Solution
Exploring Operation: 72-59=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 72+59=131, Resulting Numbers: [131]
131,36 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:[91, 5, 45], Operations: ['72-27=45']
Exploring Operation: 45/5=9, Resulting Numbers: [91, 9]
Generated Node #0,2,0: 36:[91, 9] Operation: 45/5=9
Exploring Operation: 91-45=46, Resulting Numbers: [5, 46]
Generated Node #0,2,1: 36:[5, 46] Operation: 91-45=46
Exploring Operation: 91-5=86, Resulting Numbers: [45, 86]
Generated Node #0,2,2: 36:[45, 86] Operation: 91-5=86
Moving to Node #0,0,0
Current State: 36:[5, 8], Operations: ['91-72=19', '27-19=8']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[19, 32], Operations: ['91-72=19', '27+5=32']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 19*32=608, Resulting Numbers: [608]
608,36 unequal: No Solution
Exploring Operation: 19+32=51, Resulting Numbers: [51]
51,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[19, 22], Operations: ['91-72=19', '27-5=22']
Exploring Operation: 19*22=418, Resulting Numbers: [418]
418,36 unequal: No Solution
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,36 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[5, 46], Operations: ['72-27=45', '91-45=46']
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,36 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,36 unequal: No Solution
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,36 unequal: No Solution
Moving to Node #0,2,0
Current State: 36:[91, 9], Operations: ['72-27=45', '45/5=9']
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,36 unequal: No Solution
Exploring Operation: 91+9=100, Resulting Numbers: [100]
100,36 unequal: No Solution
Exploring Operation: 91*9=819, Resulting Numbers: [819]
819,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[45, 86], Operations: ['72-27=45', '91-5=86']
Exploring Operation: 45*86=3870, Resulting Numbers: [3870]
3870,36 unequal: No Solution
Exploring Operation: 45+86=131, Resulting Numbers: [131]
131,36 unequal: No Solution
Exploring Operation: 86-45=41, Resulting Numbers: [41]
41,36 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
9,
84,
21,
16
] | 73 | [
"84/21=4",
"16*4=64",
"9+64=73"
] | Current State: 73:[9, 84, 21, 16], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [9, 16, 4]
Generated Node #2: [9, 16, 4] from Operation: 84/21=4
Current State: 73:[9, 16, 4], Operations: ['84/21=4']
Exploring Operation: 16*4=64, Resulting Numbers: [9, 64]
Generated Node #3: [9, 64] from Operation: 16*4=64
Current State: 73:[9, 64], Operations: ['84/21=4', '16*4=64']
Exploring Operation: 9+64=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[9, 84, 21, 16], Operations: []
Exploring Operation: 84-9=75, Resulting Numbers: [21, 16, 75]
Generated Node #0,0: 73:[21, 16, 75] Operation: 84-9=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[21, 16, 75], Operations: ['84-9=75']
Exploring Operation: 21+16=37, Resulting Numbers: [75, 37]
Generated Node #0,0,0: 73:[75, 37] Operation: 21+16=37
Moving to Node #0,0,0
Current State: 73:[75, 37], Operations: ['84-9=75', '21+16=37']
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,73 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 |
[
38,
47,
79,
46
] | 42 | [
"47-38=9",
"79-46=33",
"9+33=42"
] | Current State: 42:[38, 47, 79, 46], Operations: []
Exploring Operation: 47-38=9, Resulting Numbers: [79, 46, 9]
Generated Node #2: [79, 46, 9] from Operation: 47-38=9
Current State: 42:[79, 46, 9], Operations: ['47-38=9']
Exploring Operation: 79-46=33, Resulting Numbers: [9, 33]
Generated Node #3: [9, 33] from Operation: 79-46=33
Current State: 42:[9, 33], Operations: ['47-38=9', '79-46=33']
Exploring Operation: 9+33=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[38, 47, 79, 46], Operations: []
Exploring Operation: 79-46=33, Resulting Numbers: [38, 47, 33]
Generated Node #0,0: 42:[38, 47, 33] Operation: 79-46=33
Exploring Operation: 79-38=41, Resulting Numbers: [47, 46, 41]
Generated Node #0,1: 42:[47, 46, 41] Operation: 79-38=41
Exploring Operation: 79-47=32, Resulting Numbers: [38, 46, 32]
Generated Node #0,2: 42:[38, 46, 32] Operation: 79-47=32
Exploring Operation: 47-46=1, Resulting Numbers: [38, 79, 1]
Generated Node #0,3: 42:[38, 79, 1] Operation: 47-46=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[47, 46, 41], Operations: ['79-38=41']
Exploring Operation: 47-46=1, Resulting Numbers: [41, 1]
Generated Node #0,1,0: 42:[41, 1] Operation: 47-46=1
Exploring Operation: 46-41=5, Resulting Numbers: [47, 5]
Generated Node #0,1,1: 42:[47, 5] Operation: 46-41=5
Exploring Operation: 47-41=6, Resulting Numbers: [46, 6]
Generated Node #0,1,2: 42:[46, 6] Operation: 47-41=6
Exploring Operation: 47+41=88, Resulting Numbers: [46, 88]
Generated Node #0,1,3: 42:[46, 88] Operation: 47+41=88
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 42:[41, 1], Operations: ['79-38=41', '47-46=1']
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,42 unequal: No Solution
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,42 unequal: No Solution
Exploring Operation: 41+1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[38, 47, 79, 46], Operations: []
Exploring Operation: 79-38=41, Resulting Numbers: [47, 46, 41]
Generated Node #0,1: 42:[47, 46, 41] Operation: 79-38=41
Moving to Node #0,1
Current State: 42:[47, 46, 41], Operations: ['79-38=41']
Exploring Operation: 47-46=1, Resulting Numbers: [41, 1]
Generated Node #0,1,0: 42:[41, 1] Operation: 47-46=1
Moving to Node #0,1,0
Current State: 42:[41, 1], Operations: ['79-38=41', '47-46=1']
Exploring Operation: 41+1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
65,
36,
90,
42
] | 40 | [
"90*42=3780",
"3780/36=105",
"105-65=40"
] | Current State: 40:[65, 36, 90, 42], Operations: []
Exploring Operation: 90*42=3780, Resulting Numbers: [65, 36, 3780]
Generated Node #2: [65, 36, 3780] from Operation: 90*42=3780
Current State: 40:[65, 36, 3780], Operations: ['90*42=3780']
Exploring Operation: 3780/36=105, Resulting Numbers: [65, 105]
Generated Node #3: [65, 105] from Operation: 3780/36=105
Current State: 40:[65, 105], Operations: ['90*42=3780', '3780/36=105']
Exploring Operation: 105-65=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[65, 36, 90, 42], Operations: []
Exploring Operation: 90-36=54, Resulting Numbers: [65, 42, 54]
Generated Node #0,0: 40:[65, 42, 54] Operation: 90-36=54
Exploring Operation: 65-42=23, Resulting Numbers: [36, 90, 23]
Generated Node #0,1: 40:[36, 90, 23] Operation: 65-42=23
Exploring Operation: 90-65=25, Resulting Numbers: [36, 42, 25]
Generated Node #0,2: 40:[36, 42, 25] Operation: 90-65=25
Exploring Operation: 90-42=48, Resulting Numbers: [65, 36, 48]
Generated Node #0,3: 40:[65, 36, 48] Operation: 90-42=48
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[36, 42, 25], Operations: ['90-65=25']
Exploring Operation: 36+25=61, Resulting Numbers: [42, 61]
Generated Node #0,2,0: 40:[42, 61] Operation: 36+25=61
Exploring Operation: 42-36=6, Resulting Numbers: [25, 6]
Generated Node #0,2,1: 40:[25, 6] Operation: 42-36=6
Exploring Operation: 36-25=11, Resulting Numbers: [42, 11]
Generated Node #0,2,2: 40:[42, 11] Operation: 36-25=11
Exploring Operation: 42-25=17, Resulting Numbers: [36, 17]
Generated Node #0,2,3: 40:[36, 17] Operation: 42-25=17
Moving to Node #0,2,2
Current State: 40:[42, 11], Operations: ['90-65=25', '36-25=11']
Exploring Operation: 42*11=462, Resulting Numbers: [462]
462,40 unequal: No Solution
Exploring Operation: 42+11=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[25, 6], Operations: ['90-65=25', '42-36=6']
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,40 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Moving to Node #0,2,3
Current State: 40:[36, 17], Operations: ['90-65=25', '42-25=17']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 36*17=612, Resulting Numbers: [612]
612,40 unequal: No Solution
Exploring Operation: 36+17=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[42, 61], Operations: ['90-65=25', '36+25=61']
Exploring Operation: 42*61=2562, Resulting Numbers: [2562]
2562,40 unequal: No Solution
Exploring Operation: 61-42=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 42+61=103, Resulting Numbers: [103]
103,40 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:[65, 36, 48], Operations: ['90-42=48']
Exploring Operation: 65+36=101, Resulting Numbers: [48, 101]
Generated Node #0,3,0: 40:[48, 101] Operation: 65+36=101
Exploring Operation: 48-36=12, Resulting Numbers: [65, 12]
Generated Node #0,3,1: 40:[65, 12] Operation: 48-36=12
Exploring Operation: 65-48=17, Resulting Numbers: [36, 17]
Generated Node #0,3,2: 40:[36, 17] Operation: 65-48=17
Exploring Operation: 65-36=29, Resulting Numbers: [48, 29]
Generated Node #0,3,3: 40:[48, 29] Operation: 65-36=29
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 40:[36, 17], Operations: ['90-42=48', '65-48=17']
Exploring Operation: 36*17=612, Resulting Numbers: [612]
612,40 unequal: No Solution
Exploring Operation: 36+17=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 40:[48, 29], Operations: ['90-42=48', '65-36=29']
Exploring Operation: 48-29=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 48*29=1392, Resulting Numbers: [1392]
1392,40 unequal: No Solution
Exploring Operation: 48+29=77, Resulting Numbers: [77]
77,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 40:[65, 12], Operations: ['90-42=48', '48-36=12']
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,40 unequal: No Solution
Exploring Operation: 65*12=780, Resulting Numbers: [780]
780,40 unequal: No Solution
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 40:[48, 101], Operations: ['90-42=48', '65+36=101']
Exploring Operation: 101-48=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Exploring Operation: 48+101=149, Resulting Numbers: [149]
149,40 unequal: No Solution
Exploring Operation: 48*101=4848, Resulting Numbers: [4848]
4848,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[65, 42, 54], Operations: ['90-36=54']
Exploring Operation: 65+42=107, Resulting Numbers: [54, 107]
Generated Node #0,0,0: 40:[54, 107] Operation: 65+42=107
Exploring Operation: 65-42=23, Resulting Numbers: [54, 23]
Generated Node #0,0,1: 40:[54, 23] Operation: 65-42=23
Exploring Operation: 65-54=11, Resulting Numbers: [42, 11]
Generated Node #0,0,2: 40:[42, 11] Operation: 65-54=11
Exploring Operation: 54-42=12, Resulting Numbers: [65, 12]
Generated Node #0,0,3: 40:[65, 12] Operation: 54-42=12
Moving to Node #0,0,2
Current State: 40:[42, 11], Operations: ['90-36=54', '65-54=11']
Exploring Operation: 42*11=462, Resulting Numbers: [462]
462,40 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 42+11=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[54, 23], Operations: ['90-36=54', '65-42=23']
Exploring Operation: 54+23=77, Resulting Numbers: [77]
77,40 unequal: No Solution
Exploring Operation: 54*23=1242, Resulting Numbers: [1242]
1242,40 unequal: No Solution
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Moving to Node #0,0,3
Current State: 40:[65, 12], Operations: ['90-36=54', '54-42=12']
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Exploring Operation: 65*12=780, Resulting Numbers: [780]
780,40 unequal: No Solution
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[54, 107], Operations: ['90-36=54', '65+42=107']
Exploring Operation: 107-54=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Exploring Operation: 54*107=5778, Resulting Numbers: [5778]
5778,40 unequal: No Solution
Exploring Operation: 54+107=161, Resulting Numbers: [161]
161,40 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:[36, 90, 23], Operations: ['65-42=23']
Exploring Operation: 90-36=54, Resulting Numbers: [23, 54]
Generated Node #0,1,0: 40:[23, 54] Operation: 90-36=54
Exploring Operation: 90-23=67, Resulting Numbers: [36, 67]
Generated Node #0,1,1: 40:[36, 67] Operation: 90-23=67
Exploring Operation: 36+23=59, Resulting Numbers: [90, 59]
Generated Node #0,1,2: 40:[90, 59] Operation: 36+23=59
Exploring Operation: 36-23=13, Resulting Numbers: [90, 13]
Generated Node #0,1,3: 40:[90, 13] Operation: 36-23=13
Moving to Node #0,1,0
Current State: 40:[23, 54], Operations: ['65-42=23', '90-36=54']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 23+54=77, Resulting Numbers: [77]
77,40 unequal: No Solution
Exploring Operation: 23*54=1242, Resulting Numbers: [1242]
1242,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[36, 67], Operations: ['65-42=23', '90-23=67']
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 36+67=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Exploring Operation: 36*67=2412, Resulting Numbers: [2412]
2412,40 unequal: No Solution
Moving to Node #0,1,3
Current State: 40:[90, 13], Operations: ['65-42=23', '36-23=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 #0,1,2
Current State: 40:[90, 59], Operations: ['65-42=23', '36+23=59']
Exploring Operation: 90+59=149, Resulting Numbers: [149]
149,40 unequal: No Solution
Exploring Operation: 90-59=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 90*59=5310, Resulting Numbers: [5310]
5310,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
93,
2,
60,
19
] | 47 | [
"93-60=33",
"2*33=66",
"66-19=47"
] | Current State: 47:[93, 2, 60, 19], Operations: []
Exploring Operation: 93-60=33, Resulting Numbers: [2, 19, 33]
Generated Node #2: [2, 19, 33] from Operation: 93-60=33
Current State: 47:[2, 19, 33], Operations: ['93-60=33']
Exploring Operation: 2*33=66, Resulting Numbers: [19, 66]
Generated Node #3: [19, 66] from Operation: 2*33=66
Current State: 47:[19, 66], Operations: ['93-60=33', '2*33=66']
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[93, 2, 60, 19], Operations: []
Exploring Operation: 2*19=38, Resulting Numbers: [93, 60, 38]
Generated Node #0,0: 47:[93, 60, 38] Operation: 2*19=38
Moving to Node #0,0
Current State: 47:[93, 60, 38], Operations: ['2*19=38']
Exploring Operation: 93-38=55, Resulting Numbers: [60, 55]
Generated Node #0,0,0: 47:[60, 55] Operation: 93-38=55
Moving to Node #0,0,0
Current State: 47:[60, 55], Operations: ['2*19=38', '93-38=55']
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,47 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
78,
60,
30,
30
] | 78 | [
"78+60=138",
"30+30=60",
"138-60=78"
] | Current State: 78:[78, 60, 30, 30], Operations: []
Exploring Operation: 78+60=138, Resulting Numbers: [30, 30, 138]
Generated Node #2: [30, 30, 138] from Operation: 78+60=138
Current State: 78:[30, 30, 138], Operations: ['78+60=138']
Exploring Operation: 30+30=60, Resulting Numbers: [138, 60]
Generated Node #3: [138, 60] from Operation: 30+30=60
Current State: 78:[138, 60], Operations: ['78+60=138', '30+30=60']
Exploring Operation: 138-60=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[78, 60, 30, 30], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [78, 30, 2]
Generated Node #0,0: 78:[78, 30, 2] Operation: 60/30=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[78, 30, 2], Operations: ['60/30=2']
Exploring Operation: 30-2=28, Resulting Numbers: [78, 28]
Generated Node #0,0,0: 78:[78, 28] Operation: 30-2=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[78, 28], Operations: ['60/30=2', '30-2=28']
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
56,
14,
52,
58
] | 40 | [
"56+14=70",
"52+58=110",
"110-70=40"
] | Current State: 40:[56, 14, 52, 58], Operations: []
Exploring Operation: 56+14=70, Resulting Numbers: [52, 58, 70]
Generated Node #2: [52, 58, 70] from Operation: 56+14=70
Current State: 40:[52, 58, 70], Operations: ['56+14=70']
Exploring Operation: 52+58=110, Resulting Numbers: [70, 110]
Generated Node #3: [70, 110] from Operation: 52+58=110
Current State: 40:[70, 110], Operations: ['56+14=70', '52+58=110']
Exploring Operation: 110-70=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[56, 14, 52, 58], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [52, 58, 4]
Generated Node #0,0: 40:[52, 58, 4] Operation: 56/14=4
Exploring Operation: 58-56=2, Resulting Numbers: [14, 52, 2]
Generated Node #0,1: 40:[14, 52, 2] Operation: 58-56=2
Exploring Operation: 56-52=4, Resulting Numbers: [14, 58, 4]
Generated Node #0,2: 40:[14, 58, 4] Operation: 56-52=4
Exploring Operation: 58-52=6, Resulting Numbers: [56, 14, 6]
Generated Node #0,3: 40:[56, 14, 6] Operation: 58-52=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[14, 52, 2], Operations: ['58-56=2']
Exploring Operation: 52-14=38, Resulting Numbers: [2, 38]
Generated Node #0,1,0: 40:[2, 38] Operation: 52-14=38
Exploring Operation: 14-2=12, Resulting Numbers: [52, 12]
Generated Node #0,1,1: 40:[52, 12] Operation: 14-2=12
Exploring Operation: 52/2=26, Resulting Numbers: [14, 26]
Generated Node #0,1,2: 40:[14, 26] Operation: 52/2=26
Exploring Operation: 14/2=7, Resulting Numbers: [52, 7]
Generated Node #0,1,3: 40:[52, 7] Operation: 14/2=7
Moving to Node #0,1,0
Current State: 40:[2, 38], Operations: ['58-56=2', '52-14=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,40 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[56, 14, 52, 58], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [14, 52, 2]
Generated Node #0,1: 40:[14, 52, 2] Operation: 58-56=2
Moving to Node #0,1
Current State: 40:[14, 52, 2], Operations: ['58-56=2']
Exploring Operation: 52-14=38, Resulting Numbers: [2, 38]
Generated Node #0,1,0: 40:[2, 38] Operation: 52-14=38
Moving to Node #0,1,0
Current State: 40:[2, 38], Operations: ['58-56=2', '52-14=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
18,
59,
32,
5
] | 83 | [
"18+59=77",
"32*5=160",
"160-77=83"
] | Current State: 83:[18, 59, 32, 5], Operations: []
Exploring Operation: 18+59=77, Resulting Numbers: [32, 5, 77]
Generated Node #2: [32, 5, 77] from Operation: 18+59=77
Current State: 83:[32, 5, 77], Operations: ['18+59=77']
Exploring Operation: 32*5=160, Resulting Numbers: [77, 160]
Generated Node #3: [77, 160] from Operation: 32*5=160
Current State: 83:[77, 160], Operations: ['18+59=77', '32*5=160']
Exploring Operation: 160-77=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[18, 59, 32, 5], Operations: []
Exploring Operation: 18*5=90, Resulting Numbers: [59, 32, 90]
Generated Node #0,0: 83:[59, 32, 90] Operation: 18*5=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[59, 32, 90], Operations: ['18*5=90']
Exploring Operation: 59+32=91, Resulting Numbers: [90, 91]
Generated Node #0,0,0: 83:[90, 91] Operation: 59+32=91
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[90, 91], Operations: ['18*5=90', '59+32=91']
Exploring Operation: 91-90=1, Resulting Numbers: [1]
1,83 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 |
[
6,
86,
76,
56
] | 100 | [
"86-6=80",
"76-56=20",
"80+20=100"
] | Current State: 100:[6, 86, 76, 56], Operations: []
Exploring Operation: 86-6=80, Resulting Numbers: [76, 56, 80]
Generated Node #2: [76, 56, 80] from Operation: 86-6=80
Current State: 100:[76, 56, 80], Operations: ['86-6=80']
Exploring Operation: 76-56=20, Resulting Numbers: [80, 20]
Generated Node #3: [80, 20] from Operation: 76-56=20
Current State: 100:[80, 20], Operations: ['86-6=80', '76-56=20']
Exploring Operation: 80+20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[6, 86, 76, 56], Operations: []
Exploring Operation: 86-76=10, Resulting Numbers: [6, 56, 10]
Generated Node #0,0: 100:[6, 56, 10] Operation: 86-76=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[6, 56, 10], Operations: ['86-76=10']
Exploring Operation: 56-6=50, Resulting Numbers: [10, 50]
Generated Node #0,0,0: 100:[10, 50] Operation: 56-6=50
Moving to Node #0,0,0
Current State: 100:[10, 50], Operations: ['86-76=10', '56-6=50']
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,100 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 |
[
28,
12,
4,
70
] | 60 | [
"28+12=40",
"40/4=10",
"70-10=60"
] | Current State: 60:[28, 12, 4, 70], Operations: []
Exploring Operation: 28+12=40, Resulting Numbers: [4, 70, 40]
Generated Node #2: [4, 70, 40] from Operation: 28+12=40
Current State: 60:[4, 70, 40], Operations: ['28+12=40']
Exploring Operation: 40/4=10, Resulting Numbers: [70, 10]
Generated Node #3: [70, 10] from Operation: 40/4=10
Current State: 60:[70, 10], Operations: ['28+12=40', '40/4=10']
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[28, 12, 4, 70], Operations: []
Exploring Operation: 28/4=7, Resulting Numbers: [12, 70, 7]
Generated Node #0,0: 60:[12, 70, 7] Operation: 28/4=7
Exploring Operation: 28-12=16, Resulting Numbers: [4, 70, 16]
Generated Node #0,1: 60:[4, 70, 16] Operation: 28-12=16
Exploring Operation: 70-12=58, Resulting Numbers: [28, 4, 58]
Generated Node #0,2: 60:[28, 4, 58] Operation: 70-12=58
Exploring Operation: 70-4=66, Resulting Numbers: [28, 12, 66]
Generated Node #0,3: 60:[28, 12, 66] Operation: 70-4=66
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[28, 4, 58], Operations: ['70-12=58']
Exploring Operation: 58-28=30, Resulting Numbers: [4, 30]
Generated Node #0,2,0: 60:[4, 30] Operation: 58-28=30
Exploring Operation: 28+4=32, Resulting Numbers: [58, 32]
Generated Node #0,2,1: 60:[58, 32] Operation: 28+4=32
Exploring Operation: 28/4=7, Resulting Numbers: [58, 7]
Generated Node #0,2,2: 60:[58, 7] Operation: 28/4=7
Exploring Operation: 4+58=62, Resulting Numbers: [28, 62]
Generated Node #0,2,3: 60:[28, 62] Operation: 4+58=62
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 60:[4, 30], Operations: ['70-12=58', '58-28=30']
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,60 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,60 unequal: No Solution
No 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: 60:[58, 7], Operations: ['70-12=58', '28/4=7']
Exploring Operation: 58*7=406, Resulting Numbers: [406]
406,60 unequal: No Solution
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,60 unequal: No Solution
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,60 unequal: No Solution
No 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: 60:[58, 32], Operations: ['70-12=58', '28+4=32']
Exploring Operation: 58*32=1856, Resulting Numbers: [1856]
1856,60 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Exploring Operation: 58+32=90, Resulting Numbers: [90]
90,60 unequal: No Solution
No 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: 60:[28, 62], Operations: ['70-12=58', '4+58=62']
Exploring Operation: 28*62=1736, Resulting Numbers: [1736]
1736,60 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,60 unequal: No Solution
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,60 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: 60:[28, 12, 66], Operations: ['70-4=66']
Exploring Operation: 66-28=38, Resulting Numbers: [12, 38]
Generated Node #0,3,0: 60:[12, 38] Operation: 66-28=38
Exploring Operation: 28-12=16, Resulting Numbers: [66, 16]
Generated Node #0,3,1: 60:[66, 16] Operation: 28-12=16
Exploring Operation: 28+12=40, Resulting Numbers: [66, 40]
Generated Node #0,3,2: 60:[66, 40] Operation: 28+12=40
Exploring Operation: 66-12=54, Resulting Numbers: [28, 54]
Generated Node #0,3,3: 60:[28, 54] Operation: 66-12=54
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 60:[66, 16], Operations: ['70-4=66', '28-12=16']
Exploring Operation: 66+16=82, Resulting Numbers: [82]
82,60 unequal: No Solution
Exploring Operation: 66*16=1056, Resulting Numbers: [1056]
1056,60 unequal: No Solution
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,60 unequal: No Solution
No 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: 60:[12, 38], Operations: ['70-4=66', '66-28=38']
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,60 unequal: No Solution
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,60 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,60 unequal: No Solution
No 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: 60:[28, 54], Operations: ['70-4=66', '66-12=54']
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,60 unequal: No Solution
Exploring Operation: 28*54=1512, Resulting Numbers: [1512]
1512,60 unequal: No Solution
No 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: 60:[66, 40], Operations: ['70-4=66', '28+12=40']
Exploring Operation: 66-40=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Exploring Operation: 66*40=2640, Resulting Numbers: [2640]
2640,60 unequal: No Solution
Exploring Operation: 66+40=106, Resulting Numbers: [106]
106,60 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: 60:[12, 70, 7], Operations: ['28/4=7']
Exploring Operation: 70-7=63, Resulting Numbers: [12, 63]
Generated Node #0,0,0: 60:[12, 63] Operation: 70-7=63
Exploring Operation: 70/7=10, Resulting Numbers: [12, 10]
Generated Node #0,0,1: 60:[12, 10] Operation: 70/7=10
Exploring Operation: 70-12=58, Resulting Numbers: [7, 58]
Generated Node #0,0,2: 60:[7, 58] Operation: 70-12=58
Exploring Operation: 12-7=5, Resulting Numbers: [70, 5]
Generated Node #0,0,3: 60:[70, 5] Operation: 12-7=5
Moving to Node #0,0,1
Current State: 60:[12, 10], Operations: ['28/4=7', '70/7=10']
Exploring Operation: 12*10=120, Resulting Numbers: [120]
120,60 unequal: No Solution
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Moving to Node #0,0,2
Current State: 60:[7, 58], Operations: ['28/4=7', '70-12=58']
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,60 unequal: No Solution
Exploring Operation: 7*58=406, Resulting Numbers: [406]
406,60 unequal: No Solution
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[12, 63], Operations: ['28/4=7', '70-7=63']
Exploring Operation: 12+63=75, Resulting Numbers: [75]
75,60 unequal: No Solution
Exploring Operation: 12*63=756, Resulting Numbers: [756]
756,60 unequal: No Solution
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Moving to Node #0,0,3
Current State: 60:[70, 5], Operations: ['28/4=7', '12-7=5']
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,60 unequal: No Solution
Exploring Operation: 70*5=350, Resulting Numbers: [350]
350,60 unequal: No Solution
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 70+5=75, Resulting Numbers: [75]
75,60 unequal: No Solution
No 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: 60:[4, 70, 16], Operations: ['28-12=16']
Exploring Operation: 16-4=12, Resulting Numbers: [70, 12]
Generated Node #0,1,0: 60:[70, 12] Operation: 16-4=12
Exploring Operation: 70-16=54, Resulting Numbers: [4, 54]
Generated Node #0,1,1: 60:[4, 54] Operation: 70-16=54
Exploring Operation: 70-4=66, Resulting Numbers: [16, 66]
Generated Node #0,1,2: 60:[16, 66] Operation: 70-4=66
Exploring Operation: 4+16=20, Resulting Numbers: [70, 20]
Generated Node #0,1,3: 60:[70, 20] Operation: 4+16=20
Moving to Node #0,1,1
Current State: 60:[4, 54], Operations: ['28-12=16', '70-16=54']
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,60 unequal: No Solution
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,60 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[16, 66], Operations: ['28-12=16', '70-4=66']
Exploring Operation: 16*66=1056, Resulting Numbers: [1056]
1056,60 unequal: No Solution
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,60 unequal: No Solution
Exploring Operation: 16+66=82, Resulting Numbers: [82]
82,60 unequal: No Solution
Moving to Node #0,1,3
Current State: 60:[70, 20], Operations: ['28-12=16', '4+16=20']
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,60 unequal: No Solution
Exploring Operation: 70*20=1400, Resulting Numbers: [1400]
1400,60 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[70, 12], Operations: ['28-12=16', '16-4=12']
Exploring Operation: 70*12=840, Resulting Numbers: [840]
840,60 unequal: No Solution
Exploring Operation: 70+12=82, Resulting Numbers: [82]
82,60 unequal: No Solution
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
92,
88,
80,
90
] | 18 | [
"92+88=180",
"90-80=10",
"180/10=18"
] | Current State: 18:[92, 88, 80, 90], Operations: []
Exploring Operation: 92+88=180, Resulting Numbers: [80, 90, 180]
Generated Node #2: [80, 90, 180] from Operation: 92+88=180
Current State: 18:[80, 90, 180], Operations: ['92+88=180']
Exploring Operation: 90-80=10, Resulting Numbers: [180, 10]
Generated Node #3: [180, 10] from Operation: 90-80=10
Current State: 18:[180, 10], Operations: ['92+88=180', '90-80=10']
Exploring Operation: 180/10=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[92, 88, 80, 90], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [92, 80, 2]
Generated Node #0,0: 18:[92, 80, 2] Operation: 90-88=2
Exploring Operation: 92-88=4, Resulting Numbers: [80, 90, 4]
Generated Node #0,1: 18:[80, 90, 4] Operation: 92-88=4
Exploring Operation: 92-90=2, Resulting Numbers: [88, 80, 2]
Generated Node #0,2: 18:[88, 80, 2] Operation: 92-90=2
Exploring Operation: 90-80=10, Resulting Numbers: [92, 88, 10]
Generated Node #0,3: 18:[92, 88, 10] Operation: 90-80=10
Exploring Operation: 92-80=12, Resulting Numbers: [88, 90, 12]
Generated Node #0,4: 18:[88, 90, 12] Operation: 92-80=12
Moving to Node #0,2
Current State: 18:[88, 80, 2], Operations: ['92-90=2']
Exploring Operation: 88-80=8, Resulting Numbers: [2, 8]
Generated Node #0,2,0: 18:[2, 8] Operation: 88-80=8
Exploring Operation: 88-2=86, Resulting Numbers: [80, 86]
Generated Node #0,2,1: 18:[80, 86] Operation: 88-2=86
Exploring Operation: 88/2=44, Resulting Numbers: [80, 44]
Generated Node #0,2,2: 18:[80, 44] Operation: 88/2=44
Exploring Operation: 80/2=40, Resulting Numbers: [88, 40]
Generated Node #0,2,3: 18:[88, 40] Operation: 80/2=40
Exploring Operation: 80-2=78, Resulting Numbers: [88, 78]
Generated Node #0,2,4: 18:[88, 78] Operation: 80-2=78
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[2, 8], Operations: ['92-90=2', '88-80=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,18 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,18 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 #0,2,2
Current State: 18:[80, 44], Operations: ['92-90=2', '88/2=44']
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,18 unequal: No Solution
Exploring Operation: 80*44=3520, Resulting Numbers: [3520]
3520,18 unequal: No Solution
Exploring Operation: 80+44=124, Resulting Numbers: [124]
124,18 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 #0,2,3
Current State: 18:[88, 40], Operations: ['92-90=2', '80/2=40']
Exploring Operation: 88-40=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 88+40=128, Resulting Numbers: [128]
128,18 unequal: No Solution
Exploring Operation: 88*40=3520, Resulting Numbers: [3520]
3520,18 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:[80, 86], Operations: ['92-90=2', '88-2=86']
Exploring Operation: 80+86=166, Resulting Numbers: [166]
166,18 unequal: No Solution
Exploring Operation: 86-80=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 80*86=6880, Resulting Numbers: [6880]
6880,18 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 #0,2,4
Current State: 18:[88, 78], Operations: ['92-90=2', '80-2=78']
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 88*78=6864, Resulting Numbers: [6864]
6864,18 unequal: No Solution
Exploring Operation: 88+78=166, Resulting Numbers: [166]
166,18 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: 18:[80, 90, 4], Operations: ['92-88=4']
Exploring Operation: 80-4=76, Resulting Numbers: [90, 76]
Generated Node #0,1,0: 18:[90, 76] Operation: 80-4=76
Exploring Operation: 90-4=86, Resulting Numbers: [80, 86]
Generated Node #0,1,1: 18:[80, 86] Operation: 90-4=86
Exploring Operation: 80/4=20, Resulting Numbers: [90, 20]
Generated Node #0,1,2: 18:[90, 20] Operation: 80/4=20
Exploring Operation: 90-80=10, Resulting Numbers: [4, 10]
Generated Node #0,1,3: 18:[4, 10] Operation: 90-80=10
Exploring Operation: 80+4=84, Resulting Numbers: [90, 84]
Generated Node #0,1,4: 18:[90, 84] Operation: 80+4=84
Moving to Node #0,0
Current State: 18:[92, 80, 2], Operations: ['90-88=2']
Exploring Operation: 92-80=12, Resulting Numbers: [2, 12]
Generated Node #0,0,0: 18:[2, 12] Operation: 92-80=12
Exploring Operation: 80-2=78, Resulting Numbers: [92, 78]
Generated Node #0,0,1: 18:[92, 78] Operation: 80-2=78
Exploring Operation: 92/2=46, Resulting Numbers: [80, 46]
Generated Node #0,0,2: 18:[80, 46] Operation: 92/2=46
Exploring Operation: 92-2=90, Resulting Numbers: [80, 90]
Generated Node #0,0,3: 18:[80, 90] Operation: 92-2=90
Exploring Operation: 80/2=40, Resulting Numbers: [92, 40]
Generated Node #0,0,4: 18:[92, 40] Operation: 80/2=40
Moving to Node #0,3
Current State: 18:[92, 88, 10], Operations: ['90-80=10']
Exploring Operation: 88+10=98, Resulting Numbers: [92, 98]
Generated Node #0,3,0: 18:[92, 98] Operation: 88+10=98
Exploring Operation: 92+10=102, Resulting Numbers: [88, 102]
Generated Node #0,3,1: 18:[88, 102] Operation: 92+10=102
Exploring Operation: 92-10=82, Resulting Numbers: [88, 82]
Generated Node #0,3,2: 18:[88, 82] Operation: 92-10=82
Exploring Operation: 88-10=78, Resulting Numbers: [92, 78]
Generated Node #0,3,3: 18:[92, 78] Operation: 88-10=78
Exploring Operation: 92-88=4, Resulting Numbers: [10, 4]
Generated Node #0,3,4: 18:[10, 4] Operation: 92-88=4
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 18:[10, 4], Operations: ['90-80=10', '92-88=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,18 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,18 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 #0,3,2
Current State: 18:[88, 82], Operations: ['90-80=10', '92-10=82']
Exploring Operation: 88*82=7216, Resulting Numbers: [7216]
7216,18 unequal: No Solution
Exploring Operation: 88-82=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 88+82=170, Resulting Numbers: [170]
170,18 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 #0,3,3
Current State: 18:[92, 78], Operations: ['90-80=10', '88-10=78']
Exploring Operation: 92-78=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 92*78=7176, Resulting Numbers: [7176]
7176,18 unequal: No Solution
Exploring Operation: 92+78=170, Resulting Numbers: [170]
170,18 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 #0,3,0
Current State: 18:[92, 98], Operations: ['90-80=10', '88+10=98']
Exploring Operation: 92*98=9016, Resulting Numbers: [9016]
9016,18 unequal: No Solution
Exploring Operation: 92+98=190, Resulting Numbers: [190]
190,18 unequal: No Solution
Exploring Operation: 98-92=6, Resulting Numbers: [6]
6,18 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 #0,3,1
Current State: 18:[88, 102], Operations: ['90-80=10', '92+10=102']
Exploring Operation: 102-88=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 88+102=190, Resulting Numbers: [190]
190,18 unequal: No Solution
Exploring Operation: 88*102=8976, Resulting Numbers: [8976]
8976,18 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: 18:[88, 90, 12], Operations: ['92-80=12']
Exploring Operation: 90-12=78, Resulting Numbers: [88, 78]
Generated Node #0,4,0: 18:[88, 78] Operation: 90-12=78
Exploring Operation: 90+12=102, Resulting Numbers: [88, 102]
Generated Node #0,4,1: 18:[88, 102] Operation: 90+12=102
Exploring Operation: 90-88=2, Resulting Numbers: [12, 2]
Generated Node #0,4,2: 18:[12, 2] Operation: 90-88=2
Exploring Operation: 88-12=76, Resulting Numbers: [90, 76]
Generated Node #0,4,3: 18:[90, 76] Operation: 88-12=76
Exploring Operation: 88+12=100, Resulting Numbers: [90, 100]
Generated Node #0,4,4: 18:[90, 100] Operation: 88+12=100
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 18:[12, 2], Operations: ['92-80=12', '90-88=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,18 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 #0,4,0
Current State: 18:[88, 78], Operations: ['92-80=12', '90-12=78']
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 88*78=6864, Resulting Numbers: [6864]
6864,18 unequal: No Solution
Exploring Operation: 88+78=166, Resulting Numbers: [166]
166,18 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 #0,4,3
Current State: 18:[90, 76], Operations: ['92-80=12', '88-12=76']
Exploring Operation: 90-76=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 90*76=6840, Resulting Numbers: [6840]
6840,18 unequal: No Solution
Exploring Operation: 90+76=166, Resulting Numbers: [166]
166,18 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 #0,4,1
Current State: 18:[88, 102], Operations: ['92-80=12', '90+12=102']
Exploring Operation: 88+102=190, Resulting Numbers: [190]
190,18 unequal: No Solution
Exploring Operation: 102-88=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 88*102=8976, Resulting Numbers: [8976]
8976,18 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 #0,4,4
Current State: 18:[90, 100], Operations: ['92-80=12', '88+12=100']
Exploring Operation: 90*100=9000, Resulting Numbers: [9000]
9000,18 unequal: No Solution
Exploring Operation: 90+100=190, Resulting Numbers: [190]
190,18 unequal: No Solution
Exploring Operation: 100-90=10, Resulting Numbers: [10]
10,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 18:[4, 10], Operations: ['92-88=4', '90-80=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[2, 12], Operations: ['90-88=2', '92-80=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[90, 20], Operations: ['92-88=4', '80/4=20']
Exploring Operation: 90+20=110, Resulting Numbers: [110]
110,18 unequal: No Solution
Exploring Operation: 90-20=70, Resulting Numbers: [70]
70,18 unequal: No Solution
Exploring Operation: 90*20=1800, Resulting Numbers: [1800]
1800,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[80, 46], Operations: ['90-88=2', '92/2=46']
Exploring Operation: 80+46=126, Resulting Numbers: [126]
126,18 unequal: No Solution
Exploring Operation: 80-46=34, Resulting Numbers: [34]
34,18 unequal: No Solution
Exploring Operation: 80*46=3680, Resulting Numbers: [3680]
3680,18 unequal: No Solution
Moving to Node #0,0,4
Current State: 18:[92, 40], Operations: ['90-88=2', '80/2=40']
Exploring Operation: 92+40=132, Resulting Numbers: [132]
132,18 unequal: No Solution
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,18 unequal: No Solution
Exploring Operation: 92*40=3680, Resulting Numbers: [3680]
3680,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[90, 76], Operations: ['92-88=4', '80-4=76']
Exploring Operation: 90-76=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 90*76=6840, Resulting Numbers: [6840]
6840,18 unequal: No Solution
Exploring Operation: 90+76=166, Resulting Numbers: [166]
166,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[80, 86], Operations: ['92-88=4', '90-4=86']
Exploring Operation: 86-80=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 80*86=6880, Resulting Numbers: [6880]
6880,18 unequal: No Solution
Exploring Operation: 80+86=166, Resulting Numbers: [166]
166,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[92, 78], Operations: ['90-88=2', '80-2=78']
Exploring Operation: 92*78=7176, Resulting Numbers: [7176]
7176,18 unequal: No Solution
Exploring Operation: 92-78=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 92+78=170, Resulting Numbers: [170]
170,18 unequal: No Solution
Moving to Node #0,0,3
Current State: 18:[80, 90], Operations: ['90-88=2', '92-2=90']
Exploring Operation: 90-80=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 80+90=170, Resulting Numbers: [170]
170,18 unequal: No Solution
Exploring Operation: 80*90=7200, Resulting Numbers: [7200]
7200,18 unequal: No Solution
Moving to Node #0,1,4
Current State: 18:[90, 84], Operations: ['92-88=4', '80+4=84']
Exploring Operation: 90+84=174, Resulting Numbers: [174]
174,18 unequal: No Solution
Exploring Operation: 90*84=7560, Resulting Numbers: [7560]
7560,18 unequal: No Solution
Exploring Operation: 90-84=6, Resulting Numbers: [6]
6,18 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
1,
34,
15,
6
] | 85 | [
"1*34=34",
"15*34=510",
"510/6=85"
] | Current State: 85:[1, 34, 15, 6], Operations: []
Exploring Operation: 1*34=34, Resulting Numbers: [15, 6, 34]
Generated Node #2: [15, 6, 34] from Operation: 1*34=34
Current State: 85:[15, 6, 34], Operations: ['1*34=34']
Exploring Operation: 15*34=510, Resulting Numbers: [6, 510]
Generated Node #3: [6, 510] from Operation: 15*34=510
Current State: 85:[6, 510], Operations: ['1*34=34', '15*34=510']
Exploring Operation: 510/6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[1, 34, 15, 6], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [1, 6, 19]
Generated Node #0,0: 85:[1, 6, 19] Operation: 34-15=19
Moving to Node #0,0
Current State: 85:[1, 6, 19], Operations: ['34-15=19']
Exploring Operation: 6-1=5, Resulting Numbers: [19, 5]
Generated Node #0,0,0: 85:[19, 5] Operation: 6-1=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[19, 5], Operations: ['34-15=19', '6-1=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
41,
63,
97,
58
] | 51 | [
"41+63=104",
"97+58=155",
"155-104=51"
] | Current State: 51:[41, 63, 97, 58], Operations: []
Exploring Operation: 41+63=104, Resulting Numbers: [97, 58, 104]
Generated Node #2: [97, 58, 104] from Operation: 41+63=104
Current State: 51:[97, 58, 104], Operations: ['41+63=104']
Exploring Operation: 97+58=155, Resulting Numbers: [104, 155]
Generated Node #3: [104, 155] from Operation: 97+58=155
Current State: 51:[104, 155], Operations: ['41+63=104', '97+58=155']
Exploring Operation: 155-104=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[41, 63, 97, 58], Operations: []
Exploring Operation: 63-41=22, Resulting Numbers: [97, 58, 22]
Generated Node #0,0: 51:[97, 58, 22] Operation: 63-41=22
Exploring Operation: 97-63=34, Resulting Numbers: [41, 58, 34]
Generated Node #0,1: 51:[41, 58, 34] Operation: 97-63=34
Exploring Operation: 97-58=39, Resulting Numbers: [41, 63, 39]
Generated Node #0,2: 51:[41, 63, 39] Operation: 97-58=39
Exploring Operation: 97-41=56, Resulting Numbers: [63, 58, 56]
Generated Node #0,3: 51:[63, 58, 56] Operation: 97-41=56
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[63, 58, 56], Operations: ['97-41=56']
Exploring Operation: 58-56=2, Resulting Numbers: [63, 2]
Generated Node #0,3,0: 51:[63, 2] Operation: 58-56=2
Exploring Operation: 63-56=7, Resulting Numbers: [58, 7]
Generated Node #0,3,1: 51:[58, 7] Operation: 63-56=7
Exploring Operation: 63-58=5, Resulting Numbers: [56, 5]
Generated Node #0,3,2: 51:[56, 5] Operation: 63-58=5
Exploring Operation: 63+58=121, Resulting Numbers: [56, 121]
Generated Node #0,3,3: 51:[56, 121] Operation: 63+58=121
Moving to Node #0,3,2
Current State: 51:[56, 5], Operations: ['97-41=56', '63-58=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,51 unequal: No Solution
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[41, 63, 97, 58], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [63, 58, 56]
Generated Node #0,3: 51:[63, 58, 56] Operation: 97-41=56
Moving to Node #0,3
Current State: 51:[63, 58, 56], Operations: ['97-41=56']
Exploring Operation: 63-58=5, Resulting Numbers: [56, 5]
Generated Node #0,3,2: 51:[56, 5] Operation: 63-58=5
Moving to Node #0,3,2
Current State: 51:[56, 5], Operations: ['97-41=56', '63-58=5']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
3,
10,
40,
50
] | 48 | [
"3+40=43",
"50/10=5",
"43+5=48"
] | Current State: 48:[3, 10, 40, 50], Operations: []
Exploring Operation: 3+40=43, Resulting Numbers: [10, 50, 43]
Generated Node #2: [10, 50, 43] from Operation: 3+40=43
Current State: 48:[10, 50, 43], Operations: ['3+40=43']
Exploring Operation: 50/10=5, Resulting Numbers: [43, 5]
Generated Node #3: [43, 5] from Operation: 50/10=5
Current State: 48:[43, 5], Operations: ['3+40=43', '50/10=5']
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[3, 10, 40, 50], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [3, 50, 4]
Generated Node #0,0: 48:[3, 50, 4] Operation: 40/10=4
Exploring Operation: 10+40=50, Resulting Numbers: [3, 50, 50]
Generated Node #0,1: 48:[3, 50, 50] Operation: 10+40=50
Moving to Node #0,0
Current State: 48:[3, 50, 4], Operations: ['40/10=4']
Exploring Operation: 3*4=12, Resulting Numbers: [50, 12]
Generated Node #0,0,0: 48:[50, 12] Operation: 3*4=12
Exploring Operation: 50-3=47, Resulting Numbers: [4, 47]
Generated Node #0,0,1: 48:[4, 47] Operation: 50-3=47
Moving to Node #0,1
Current State: 48:[3, 50, 50], Operations: ['10+40=50']
Exploring Operation: 50/50=1, Resulting Numbers: [3, 1]
Generated Node #0,1,0: 48:[3, 1] Operation: 50/50=1
Exploring Operation: 50-50=0, Resulting Numbers: [3, 0]
Generated Node #0,1,1: 48:[3, 0] Operation: 50-50=0
Moving to Node #0,0,1
Current State: 48:[4, 47], Operations: ['40/10=4', '50-3=47']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[3, 1], Operations: ['10+40=50', '50/50=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[50, 12], Operations: ['40/10=4', '3*4=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[3, 0], Operations: ['10+40=50', '50-50=0']
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,48 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
61,
60,
39,
73
] | 34 | [
"61-60=1",
"73-39=34",
"1*34=34"
] | Current State: 34:[61, 60, 39, 73], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [39, 73, 1]
Generated Node #2: [39, 73, 1] from Operation: 61-60=1
Current State: 34:[39, 73, 1], Operations: ['61-60=1']
Exploring Operation: 73-39=34, Resulting Numbers: [1, 34]
Generated Node #3: [1, 34] from Operation: 73-39=34
Current State: 34:[1, 34], Operations: ['61-60=1', '73-39=34']
Exploring Operation: 1*34=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[61, 60, 39, 73], Operations: []
Exploring Operation: 73-39=34, Resulting Numbers: [61, 60, 34]
Generated Node #0,0: 34:[61, 60, 34] Operation: 73-39=34
Exploring Operation: 61-39=22, Resulting Numbers: [60, 73, 22]
Generated Node #0,1: 34:[60, 73, 22] Operation: 61-39=22
Exploring Operation: 61-60=1, Resulting Numbers: [39, 73, 1]
Generated Node #0,2: 34:[39, 73, 1] Operation: 61-60=1
Exploring Operation: 73-60=13, Resulting Numbers: [61, 39, 13]
Generated Node #0,3: 34:[61, 39, 13] Operation: 73-60=13
Exploring Operation: 73-61=12, Resulting Numbers: [60, 39, 12]
Generated Node #0,4: 34:[60, 39, 12] Operation: 73-61=12
Moving to Node #0,3
Current State: 34:[61, 39, 13], Operations: ['73-60=13']
Exploring Operation: 61-13=48, Resulting Numbers: [39, 48]
Generated Node #0,3,0: 34:[39, 48] Operation: 61-13=48
Exploring Operation: 39/13=3, Resulting Numbers: [61, 3]
Generated Node #0,3,1: 34:[61, 3] Operation: 39/13=3
Exploring Operation: 39-13=26, Resulting Numbers: [61, 26]
Generated Node #0,3,2: 34:[61, 26] Operation: 39-13=26
Exploring Operation: 61-39=22, Resulting Numbers: [13, 22]
Generated Node #0,3,3: 34:[13, 22] Operation: 61-39=22
Exploring Operation: 61+13=74, Resulting Numbers: [39, 74]
Generated Node #0,3,4: 34:[39, 74] Operation: 61+13=74
Moving to Node #0,4
Current State: 34:[60, 39, 12], Operations: ['73-61=12']
Exploring Operation: 60-12=48, Resulting Numbers: [39, 48]
Generated Node #0,4,0: 34:[39, 48] Operation: 60-12=48
Exploring Operation: 60/12=5, Resulting Numbers: [39, 5]
Generated Node #0,4,1: 34:[39, 5] Operation: 60/12=5
Exploring Operation: 60-39=21, Resulting Numbers: [12, 21]
Generated Node #0,4,2: 34:[12, 21] Operation: 60-39=21
Exploring Operation: 60+12=72, Resulting Numbers: [39, 72]
Generated Node #0,4,3: 34:[39, 72] Operation: 60+12=72
Exploring Operation: 39-12=27, Resulting Numbers: [60, 27]
Generated Node #0,4,4: 34:[60, 27] Operation: 39-12=27
Moving to Node #0,2
Current State: 34:[39, 73, 1], Operations: ['61-60=1']
Exploring Operation: 39-1=38, Resulting Numbers: [73, 38]
Generated Node #0,2,0: 34:[73, 38] Operation: 39-1=38
Exploring Operation: 39*1=39, Resulting Numbers: [73, 39]
Generated Node #0,2,1: 34:[73, 39] Operation: 39*1=39
Exploring Operation: 73-39=34, Resulting Numbers: [1, 34]
Generated Node #0,2,2: 34:[1, 34] Operation: 73-39=34
Exploring Operation: 39/1=39, Resulting Numbers: [73, 39]
Generated Node #0,2,3: 34:[73, 39] Operation: 39/1=39
Exploring Operation: 73-1=72, Resulting Numbers: [39, 72]
Generated Node #0,2,4: 34:[39, 72] Operation: 73-1=72
Moving to Node #0,0
Current State: 34:[61, 60, 34], Operations: ['73-39=34']
Exploring Operation: 60-34=26, Resulting Numbers: [61, 26]
Generated Node #0,0,0: 34:[61, 26] Operation: 60-34=26
Exploring Operation: 61-34=27, Resulting Numbers: [60, 27]
Generated Node #0,0,1: 34:[60, 27] Operation: 61-34=27
Exploring Operation: 61-60=1, Resulting Numbers: [34, 1]
Generated Node #0,0,2: 34:[34, 1] Operation: 61-60=1
Exploring Operation: 61+34=95, Resulting Numbers: [60, 95]
Generated Node #0,0,3: 34:[60, 95] Operation: 61+34=95
Exploring Operation: 61+60=121, Resulting Numbers: [34, 121]
Generated Node #0,0,4: 34:[34, 121] Operation: 61+60=121
Moving to Node #0,1
Current State: 34:[60, 73, 22], Operations: ['61-39=22']
Exploring Operation: 73+22=95, Resulting Numbers: [60, 95]
Generated Node #0,1,0: 34:[60, 95] Operation: 73+22=95
Exploring Operation: 73-22=51, Resulting Numbers: [60, 51]
Generated Node #0,1,1: 34:[60, 51] Operation: 73-22=51
Exploring Operation: 60+22=82, Resulting Numbers: [73, 82]
Generated Node #0,1,2: 34:[73, 82] Operation: 60+22=82
Exploring Operation: 73-60=13, Resulting Numbers: [22, 13]
Generated Node #0,1,3: 34:[22, 13] Operation: 73-60=13
Exploring Operation: 60-22=38, Resulting Numbers: [73, 38]
Generated Node #0,1,4: 34:[73, 38] Operation: 60-22=38
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 34:[22, 13], Operations: ['61-39=22', '73-60=13']
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 22*13=286, Resulting Numbers: [286]
286,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[60, 51], Operations: ['61-39=22', '73-22=51']
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,34 unequal: No Solution
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 60*51=3060, Resulting Numbers: [3060]
3060,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 34:[73, 38], Operations: ['61-39=22', '60-22=38']
Exploring Operation: 73*38=2774, Resulting Numbers: [2774]
2774,34 unequal: No Solution
Exploring Operation: 73+38=111, Resulting Numbers: [111]
111,34 unequal: No Solution
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[60, 95], Operations: ['61-39=22', '73+22=95']
Exploring Operation: 60*95=5700, Resulting Numbers: [5700]
5700,34 unequal: No Solution
Exploring Operation: 95-60=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 60+95=155, Resulting Numbers: [155]
155,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 34:[73, 82], Operations: ['61-39=22', '60+22=82']
Exploring Operation: 73+82=155, Resulting Numbers: [155]
155,34 unequal: No Solution
Exploring Operation: 73*82=5986, Resulting Numbers: [5986]
5986,34 unequal: No Solution
Exploring Operation: 82-73=9, Resulting Numbers: [9]
9,34 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: 34:[1, 34], Operations: ['61-60=1', '73-39=34']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[61, 60, 39, 73], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [39, 73, 1]
Generated Node #0,2: 34:[39, 73, 1] Operation: 61-60=1
Moving to Node #0,2
Current State: 34:[39, 73, 1], Operations: ['61-60=1']
Exploring Operation: 73-39=34, Resulting Numbers: [1, 34]
Generated Node #0,2,2: 34:[1, 34] Operation: 73-39=34
Moving to Node #0,2,2
Current State: 34:[1, 34], Operations: ['61-60=1', '73-39=34']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.956597 | hs_5 | sum_heuristic |
[
29,
38,
12,
24
] | 27 | [
"38-29=9",
"12+24=36",
"36-9=27"
] | Current State: 27:[29, 38, 12, 24], Operations: []
Exploring Operation: 38-29=9, Resulting Numbers: [12, 24, 9]
Generated Node #2: [12, 24, 9] from Operation: 38-29=9
Current State: 27:[12, 24, 9], Operations: ['38-29=9']
Exploring Operation: 12+24=36, Resulting Numbers: [9, 36]
Generated Node #3: [9, 36] from Operation: 12+24=36
Current State: 27:[9, 36], Operations: ['38-29=9', '12+24=36']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[29, 38, 12, 24], Operations: []
Exploring Operation: 38-24=14, Resulting Numbers: [29, 12, 14]
Generated Node #0,0: 27:[29, 12, 14] Operation: 38-24=14
Exploring Operation: 38-12=26, Resulting Numbers: [29, 24, 26]
Generated Node #0,1: 27:[29, 24, 26] Operation: 38-12=26
Exploring Operation: 38-29=9, Resulting Numbers: [12, 24, 9]
Generated Node #0,2: 27:[12, 24, 9] Operation: 38-29=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[29, 24, 26], Operations: ['38-12=26']
Exploring Operation: 26-24=2, Resulting Numbers: [29, 2]
Generated Node #0,1,0: 27:[29, 2] Operation: 26-24=2
Exploring Operation: 29-24=5, Resulting Numbers: [26, 5]
Generated Node #0,1,1: 27:[26, 5] Operation: 29-24=5
Exploring Operation: 29-26=3, Resulting Numbers: [24, 3]
Generated Node #0,1,2: 27:[24, 3] Operation: 29-26=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 27:[29, 2], Operations: ['38-12=26', '26-24=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,27 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[29, 38, 12, 24], Operations: []
Exploring Operation: 38-12=26, Resulting Numbers: [29, 24, 26]
Generated Node #0,1: 27:[29, 24, 26] Operation: 38-12=26
Moving to Node #0,1
Current State: 27:[29, 24, 26], Operations: ['38-12=26']
Exploring Operation: 26-24=2, Resulting Numbers: [29, 2]
Generated Node #0,1,0: 27:[29, 2] Operation: 26-24=2
Moving to Node #0,1,0
Current State: 27:[29, 2], Operations: ['38-12=26', '26-24=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
85,
43,
32,
99
] | 89 | [
"85-43=42",
"32+99=131",
"131-42=89"
] | Current State: 89:[85, 43, 32, 99], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [32, 99, 42]
Generated Node #2: [32, 99, 42] from Operation: 85-43=42
Current State: 89:[32, 99, 42], Operations: ['85-43=42']
Exploring Operation: 32+99=131, Resulting Numbers: [42, 131]
Generated Node #3: [42, 131] from Operation: 32+99=131
Current State: 89:[42, 131], Operations: ['85-43=42', '32+99=131']
Exploring Operation: 131-42=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[85, 43, 32, 99], Operations: []
Exploring Operation: 99-32=67, Resulting Numbers: [85, 43, 67]
Generated Node #0,0: 89:[85, 43, 67] Operation: 99-32=67
Exploring Operation: 43+32=75, Resulting Numbers: [85, 99, 75]
Generated Node #0,1: 89:[85, 99, 75] Operation: 43+32=75
Moving to Node #0,1
Current State: 89:[85, 99, 75], Operations: ['43+32=75']
Exploring Operation: 99-75=24, Resulting Numbers: [85, 24]
Generated Node #0,1,0: 89:[85, 24] Operation: 99-75=24
Exploring Operation: 85+75=160, Resulting Numbers: [99, 160]
Generated Node #0,1,1: 89:[99, 160] Operation: 85+75=160
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[85, 24], Operations: ['43+32=75', '99-75=24']
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 85+24=109, Resulting Numbers: [109]
109,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[99, 160], Operations: ['43+32=75', '85+75=160']
Exploring Operation: 160-99=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 99+160=259, Resulting Numbers: [259]
259,89 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: 89:[85, 43, 67], Operations: ['99-32=67']
Exploring Operation: 43+67=110, Resulting Numbers: [85, 110]
Generated Node #0,0,0: 89:[85, 110] Operation: 43+67=110
Exploring Operation: 85+43=128, Resulting Numbers: [67, 128]
Generated Node #0,0,1: 89:[67, 128] Operation: 85+43=128
Moving to Node #0,0,0
Current State: 89:[85, 110], Operations: ['99-32=67', '43+67=110']
Exploring Operation: 85+110=195, Resulting Numbers: [195]
195,89 unequal: No Solution
Exploring Operation: 110-85=25, Resulting Numbers: [25]
25,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[67, 128], Operations: ['99-32=67', '85+43=128']
Exploring Operation: 67+128=195, Resulting Numbers: [195]
195,89 unequal: No Solution
Exploring Operation: 128-67=61, Resulting Numbers: [61]
61,89 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
40,
26,
10,
74
] | 70 | [
"40-26=14",
"10+74=84",
"84-14=70"
] | Current State: 70:[40, 26, 10, 74], Operations: []
Exploring Operation: 40-26=14, Resulting Numbers: [10, 74, 14]
Generated Node #2: [10, 74, 14] from Operation: 40-26=14
Current State: 70:[10, 74, 14], Operations: ['40-26=14']
Exploring Operation: 10+74=84, Resulting Numbers: [14, 84]
Generated Node #3: [14, 84] from Operation: 10+74=84
Current State: 70:[14, 84], Operations: ['40-26=14', '10+74=84']
Exploring Operation: 84-14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[40, 26, 10, 74], Operations: []
Exploring Operation: 40+26=66, Resulting Numbers: [10, 74, 66]
Generated Node #0,0: 70:[10, 74, 66] Operation: 40+26=66
Exploring Operation: 40-26=14, Resulting Numbers: [10, 74, 14]
Generated Node #0,1: 70:[10, 74, 14] Operation: 40-26=14
Moving to Node #0,1
Current State: 70:[10, 74, 14], Operations: ['40-26=14']
Exploring Operation: 14-10=4, Resulting Numbers: [74, 4]
Generated Node #0,1,0: 70:[74, 4] Operation: 14-10=4
Exploring Operation: 74-10=64, Resulting Numbers: [14, 64]
Generated Node #0,1,1: 70:[14, 64] Operation: 74-10=64
Moving to Node #0,0
Current State: 70:[10, 74, 66], Operations: ['40+26=66']
Exploring Operation: 74-66=8, Resulting Numbers: [10, 8]
Generated Node #0,0,0: 70:[10, 8] Operation: 74-66=8
Exploring Operation: 74-10=64, Resulting Numbers: [66, 64]
Generated Node #0,0,1: 70:[66, 64] Operation: 74-10=64
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[10, 8], Operations: ['40+26=66', '74-66=8']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[66, 64], Operations: ['40+26=66', '74-10=64']
Exploring Operation: 66+64=130, Resulting Numbers: [130]
130,70 unequal: No Solution
Exploring Operation: 66-64=2, Resulting Numbers: [2]
2,70 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: 70:[74, 4], Operations: ['40-26=14', '14-10=4']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[40, 26, 10, 74], Operations: []
Exploring Operation: 40-26=14, Resulting Numbers: [10, 74, 14]
Generated Node #0,1: 70:[10, 74, 14] Operation: 40-26=14
Moving to Node #0,1
Current State: 70:[10, 74, 14], Operations: ['40-26=14']
Exploring Operation: 14-10=4, Resulting Numbers: [74, 4]
Generated Node #0,1,0: 70:[74, 4] Operation: 14-10=4
Moving to Node #0,1,0
Current State: 70:[74, 4], Operations: ['40-26=14', '14-10=4']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
21,
11,
86,
99
] | 46 | [
"21*11=231",
"86+99=185",
"231-185=46"
] | Current State: 46:[21, 11, 86, 99], Operations: []
Exploring Operation: 21*11=231, Resulting Numbers: [86, 99, 231]
Generated Node #2: [86, 99, 231] from Operation: 21*11=231
Current State: 46:[86, 99, 231], Operations: ['21*11=231']
Exploring Operation: 86+99=185, Resulting Numbers: [231, 185]
Generated Node #3: [231, 185] from Operation: 86+99=185
Current State: 46:[231, 185], Operations: ['21*11=231', '86+99=185']
Exploring Operation: 231-185=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[21, 11, 86, 99], Operations: []
Exploring Operation: 86-21=65, Resulting Numbers: [11, 99, 65]
Generated Node #0,0: 46:[11, 99, 65] Operation: 86-21=65
Exploring Operation: 99-21=78, Resulting Numbers: [11, 86, 78]
Generated Node #0,1: 46:[11, 86, 78] Operation: 99-21=78
Exploring Operation: 99-86=13, Resulting Numbers: [21, 11, 13]
Generated Node #0,2: 46:[21, 11, 13] Operation: 99-86=13
Exploring Operation: 99/11=9, Resulting Numbers: [21, 86, 9]
Generated Node #0,3: 46:[21, 86, 9] Operation: 99/11=9
Moving to Node #0,2
Current State: 46:[21, 11, 13], Operations: ['99-86=13']
Exploring Operation: 21-13=8, Resulting Numbers: [11, 8]
Generated Node #0,2,0: 46:[11, 8] Operation: 21-13=8
Exploring Operation: 13-11=2, Resulting Numbers: [21, 2]
Generated Node #0,2,1: 46:[21, 2] Operation: 13-11=2
Exploring Operation: 11+13=24, Resulting Numbers: [21, 24]
Generated Node #0,2,2: 46:[21, 24] Operation: 11+13=24
Exploring Operation: 21-11=10, Resulting Numbers: [13, 10]
Generated Node #0,2,3: 46:[13, 10] Operation: 21-11=10
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 46:[21, 2], Operations: ['99-86=13', '13-11=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 46:[21, 24], Operations: ['99-86=13', '11+13=24']
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 21*24=504, Resulting Numbers: [504]
504,46 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 46:[11, 8], Operations: ['99-86=13', '21-13=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,46 unequal: No Solution
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 46:[13, 10], Operations: ['99-86=13', '21-11=10']
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,46 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 46:[21, 86, 9], Operations: ['99/11=9']
Exploring Operation: 86-21=65, Resulting Numbers: [9, 65]
Generated Node #0,3,0: 46:[9, 65] Operation: 86-21=65
Exploring Operation: 86-9=77, Resulting Numbers: [21, 77]
Generated Node #0,3,1: 46:[21, 77] Operation: 86-9=77
Exploring Operation: 21+9=30, Resulting Numbers: [86, 30]
Generated Node #0,3,2: 46:[86, 30] Operation: 21+9=30
Exploring Operation: 21-9=12, Resulting Numbers: [86, 12]
Generated Node #0,3,3: 46:[86, 12] Operation: 21-9=12
Moving to Node #0,1
Current State: 46:[11, 86, 78], Operations: ['99-21=78']
Exploring Operation: 86-11=75, Resulting Numbers: [78, 75]
Generated Node #0,1,0: 46:[78, 75] Operation: 86-11=75
Exploring Operation: 11+86=97, Resulting Numbers: [78, 97]
Generated Node #0,1,1: 46:[78, 97] Operation: 11+86=97
Exploring Operation: 78-11=67, Resulting Numbers: [86, 67]
Generated Node #0,1,2: 46:[86, 67] Operation: 78-11=67
Exploring Operation: 86-78=8, Resulting Numbers: [11, 8]
Generated Node #0,1,3: 46:[11, 8] Operation: 86-78=8
Moving to Node #0,0
Current State: 46:[11, 99, 65], Operations: ['86-21=65']
Exploring Operation: 65-11=54, Resulting Numbers: [99, 54]
Generated Node #0,0,0: 46:[99, 54] Operation: 65-11=54
Exploring Operation: 99/11=9, Resulting Numbers: [65, 9]
Generated Node #0,0,1: 46:[65, 9] Operation: 99/11=9
Exploring Operation: 99-11=88, Resulting Numbers: [65, 88]
Generated Node #0,0,2: 46:[65, 88] Operation: 99-11=88
Exploring Operation: 99-65=34, Resulting Numbers: [11, 34]
Generated Node #0,0,3: 46:[11, 34] Operation: 99-65=34
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 46:[11, 34], Operations: ['86-21=65', '99-65=34']
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,46 unequal: No Solution
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 46:[65, 9], Operations: ['86-21=65', '99/11=9']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,46 unequal: No Solution
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,46 unequal: No Solution
Exploring Operation: 65*9=585, Resulting Numbers: [585]
585,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 46:[99, 54], Operations: ['86-21=65', '65-11=54']
Exploring Operation: 99+54=153, Resulting Numbers: [153]
153,46 unequal: No Solution
Exploring Operation: 99*54=5346, Resulting Numbers: [5346]
5346,46 unequal: No Solution
Exploring Operation: 99-54=45, Resulting Numbers: [45]
45,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 46:[65, 88], Operations: ['86-21=65', '99-11=88']
Exploring Operation: 65+88=153, Resulting Numbers: [153]
153,46 unequal: No Solution
Exploring Operation: 65*88=5720, Resulting Numbers: [5720]
5720,46 unequal: No Solution
Exploring Operation: 88-65=23, Resulting Numbers: [23]
23,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 46:[11, 8], Operations: ['99-21=78', '86-78=8']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,46 unequal: No Solution
Moving to Node #0,3,0
Current State: 46:[9, 65], Operations: ['99/11=9', '86-21=65']
Exploring Operation: 9*65=585, Resulting Numbers: [585]
585,46 unequal: No Solution
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,46 unequal: No Solution
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,46 unequal: No Solution
Moving to Node #0,3,1
Current State: 46:[21, 77], Operations: ['99/11=9', '86-9=77']
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,46 unequal: No Solution
Exploring Operation: 21*77=1617, Resulting Numbers: [1617]
1617,46 unequal: No Solution
Exploring Operation: 21+77=98, Resulting Numbers: [98]
98,46 unequal: No Solution
Moving to Node #0,3,2
Current State: 46:[86, 30], Operations: ['99/11=9', '21+9=30']
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,46 unequal: No Solution
Exploring Operation: 86+30=116, Resulting Numbers: [116]
116,46 unequal: No Solution
Exploring Operation: 86*30=2580, Resulting Numbers: [2580]
2580,46 unequal: No Solution
Moving to Node #0,3,3
Current State: 46:[86, 12], Operations: ['99/11=9', '21-9=12']
Exploring Operation: 86*12=1032, Resulting Numbers: [1032]
1032,46 unequal: No Solution
Exploring Operation: 86-12=74, Resulting Numbers: [74]
74,46 unequal: No Solution
Exploring Operation: 86+12=98, Resulting Numbers: [98]
98,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[78, 75], Operations: ['99-21=78', '86-11=75']
Exploring Operation: 78+75=153, Resulting Numbers: [153]
153,46 unequal: No Solution
Exploring Operation: 78*75=5850, Resulting Numbers: [5850]
5850,46 unequal: No Solution
Exploring Operation: 78-75=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Moving to Node #0,1,2
Current State: 46:[86, 67], Operations: ['99-21=78', '78-11=67']
Exploring Operation: 86+67=153, Resulting Numbers: [153]
153,46 unequal: No Solution
Exploring Operation: 86-67=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 86*67=5762, Resulting Numbers: [5762]
5762,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[78, 97], Operations: ['99-21=78', '11+86=97']
Exploring Operation: 78*97=7566, Resulting Numbers: [7566]
7566,46 unequal: No Solution
Exploring Operation: 97-78=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 78+97=175, Resulting Numbers: [175]
175,46 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
37,
49,
36,
47
] | 96 | [
"37-36=1",
"49+47=96",
"1*96=96"
] | Current State: 96:[37, 49, 36, 47], Operations: []
Exploring Operation: 37-36=1, Resulting Numbers: [49, 47, 1]
Generated Node #2: [49, 47, 1] from Operation: 37-36=1
Current State: 96:[49, 47, 1], Operations: ['37-36=1']
Exploring Operation: 49+47=96, Resulting Numbers: [1, 96]
Generated Node #3: [1, 96] from Operation: 49+47=96
Current State: 96:[1, 96], Operations: ['37-36=1', '49+47=96']
Exploring Operation: 1*96=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[37, 49, 36, 47], Operations: []
Exploring Operation: 47-37=10, Resulting Numbers: [49, 36, 10]
Generated Node #0,0: 96:[49, 36, 10] Operation: 47-37=10
Exploring Operation: 49-37=12, Resulting Numbers: [36, 47, 12]
Generated Node #0,1: 96:[36, 47, 12] Operation: 49-37=12
Exploring Operation: 37-36=1, Resulting Numbers: [49, 47, 1]
Generated Node #0,2: 96:[49, 47, 1] Operation: 37-36=1
Exploring Operation: 47-36=11, Resulting Numbers: [37, 49, 11]
Generated Node #0,3: 96:[37, 49, 11] Operation: 47-36=11
Exploring Operation: 49-36=13, Resulting Numbers: [37, 47, 13]
Generated Node #0,4: 96:[37, 47, 13] Operation: 49-36=13
Moving to Node #0,2
Current State: 96:[49, 47, 1], Operations: ['37-36=1']
Exploring Operation: 49+47=96, Resulting Numbers: [1, 96]
Generated Node #0,2,0: 96:[1, 96] Operation: 49+47=96
Exploring Operation: 47+1=48, Resulting Numbers: [49, 48]
Generated Node #0,2,1: 96:[49, 48] Operation: 47+1=48
Exploring Operation: 49-47=2, Resulting Numbers: [1, 2]
Generated Node #0,2,2: 96:[1, 2] Operation: 49-47=2
Exploring Operation: 49-1=48, Resulting Numbers: [47, 48]
Generated Node #0,2,3: 96:[47, 48] Operation: 49-1=48
Exploring Operation: 49*1=49, Resulting Numbers: [47, 49]
Generated Node #0,2,4: 96:[47, 49] Operation: 49*1=49
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 96:[1, 96], Operations: ['37-36=1', '49+47=96']
Exploring Operation: 1+96=97, Resulting Numbers: [97]
97,96 unequal: No Solution
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,96 unequal: No Solution
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[37, 49, 36, 47], Operations: []
Exploring Operation: 37-36=1, Resulting Numbers: [49, 47, 1]
Generated Node #0,2: 96:[49, 47, 1] Operation: 37-36=1
Moving to Node #0,2
Current State: 96:[49, 47, 1], Operations: ['37-36=1']
Exploring Operation: 49+47=96, Resulting Numbers: [1, 96]
Generated Node #0,2,0: 96:[1, 96] Operation: 49+47=96
Moving to Node #0,2,0
Current State: 96:[1, 96], Operations: ['37-36=1', '49+47=96']
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
21,
37,
4,
5
] | 78 | [
"21+37=58",
"4*5=20",
"58+20=78"
] | Current State: 78:[21, 37, 4, 5], Operations: []
Exploring Operation: 21+37=58, Resulting Numbers: [4, 5, 58]
Generated Node #2: [4, 5, 58] from Operation: 21+37=58
Current State: 78:[4, 5, 58], Operations: ['21+37=58']
Exploring Operation: 4*5=20, Resulting Numbers: [58, 20]
Generated Node #3: [58, 20] from Operation: 4*5=20
Current State: 78:[58, 20], Operations: ['21+37=58', '4*5=20']
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[21, 37, 4, 5], Operations: []
Exploring Operation: 21+4=25, Resulting Numbers: [37, 5, 25]
Generated Node #0,0: 78:[37, 5, 25] Operation: 21+4=25
Exploring Operation: 21-5=16, Resulting Numbers: [37, 4, 16]
Generated Node #0,1: 78:[37, 4, 16] Operation: 21-5=16
Exploring Operation: 37-21=16, Resulting Numbers: [4, 5, 16]
Generated Node #0,2: 78:[4, 5, 16] Operation: 37-21=16
Exploring Operation: 21+5=26, Resulting Numbers: [37, 4, 26]
Generated Node #0,3: 78:[37, 4, 26] Operation: 21+5=26
Moving to Node #0,3
Current State: 78:[37, 4, 26], Operations: ['21+5=26']
Exploring Operation: 37+4=41, Resulting Numbers: [26, 41]
Generated Node #0,3,0: 78:[26, 41] Operation: 37+4=41
Exploring Operation: 37-4=33, Resulting Numbers: [26, 33]
Generated Node #0,3,1: 78:[26, 33] Operation: 37-4=33
Exploring Operation: 4+26=30, Resulting Numbers: [37, 30]
Generated Node #0,3,2: 78:[37, 30] Operation: 4+26=30
Exploring Operation: 37-26=11, Resulting Numbers: [4, 11]
Generated Node #0,3,3: 78:[4, 11] Operation: 37-26=11
Moving to Node #0,0
Current State: 78:[37, 5, 25], Operations: ['21+4=25']
Exploring Operation: 25/5=5, Resulting Numbers: [37, 5]
Generated Node #0,0,0: 78:[37, 5] Operation: 25/5=5
Exploring Operation: 37-25=12, Resulting Numbers: [5, 12]
Generated Node #0,0,1: 78:[5, 12] Operation: 37-25=12
Exploring Operation: 5+25=30, Resulting Numbers: [37, 30]
Generated Node #0,0,2: 78:[37, 30] Operation: 5+25=30
Exploring Operation: 37+5=42, Resulting Numbers: [25, 42]
Generated Node #0,0,3: 78:[25, 42] Operation: 37+5=42
Moving to Node #0,2
Current State: 78:[4, 5, 16], Operations: ['37-21=16']
Exploring Operation: 16-5=11, Resulting Numbers: [4, 11]
Generated Node #0,2,0: 78:[4, 11] Operation: 16-5=11
Exploring Operation: 5*16=80, Resulting Numbers: [4, 80]
Generated Node #0,2,1: 78:[4, 80] Operation: 5*16=80
Exploring Operation: 16/4=4, Resulting Numbers: [5, 4]
Generated Node #0,2,2: 78:[5, 4] Operation: 16/4=4
Exploring Operation: 16-4=12, Resulting Numbers: [5, 12]
Generated Node #0,2,3: 78:[5, 12] Operation: 16-4=12
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 78:[5, 4], Operations: ['37-21=16', '16/4=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,78 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,78 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 #0,2,3
Current State: 78:[5, 12], Operations: ['37-21=16', '16-4=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,78 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,78 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:[4, 11], Operations: ['37-21=16', '16-5=11']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,78 unequal: No Solution
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,78 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 #0,2,1
Current State: 78:[4, 80], Operations: ['37-21=16', '5*16=80']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,78 unequal: No Solution
Exploring Operation: 4+80=84, Resulting Numbers: [84]
84,78 unequal: No Solution
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Exploring Operation: 4*80=320, Resulting Numbers: [320]
320,78 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: 78:[37, 4, 16], Operations: ['21-5=16']
Exploring Operation: 16/4=4, Resulting Numbers: [37, 4]
Generated Node #0,1,0: 78:[37, 4] Operation: 16/4=4
Exploring Operation: 16-4=12, Resulting Numbers: [37, 12]
Generated Node #0,1,1: 78:[37, 12] Operation: 16-4=12
Exploring Operation: 37-16=21, Resulting Numbers: [4, 21]
Generated Node #0,1,2: 78:[4, 21] Operation: 37-16=21
Exploring Operation: 37+4=41, Resulting Numbers: [16, 41]
Generated Node #0,1,3: 78:[16, 41] Operation: 37+4=41
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[37, 4], Operations: ['21-5=16', '16/4=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,78 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,78 unequal: No Solution
Exploring Operation: 37*4=148, Resulting Numbers: [148]
148,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[37, 12], Operations: ['21-5=16', '16-4=12']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,78 unequal: No Solution
Exploring Operation: 37+12=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Exploring Operation: 37*12=444, Resulting Numbers: [444]
444,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 78:[16, 41], Operations: ['21-5=16', '37+4=41']
Exploring Operation: 16+41=57, Resulting Numbers: [57]
57,78 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,78 unequal: No Solution
Exploring Operation: 16*41=656, Resulting Numbers: [656]
656,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 78:[4, 21], Operations: ['21-5=16', '37-16=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,78 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 78:[26, 41], Operations: ['21+5=26', '37+4=41']
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 26*41=1066, Resulting Numbers: [1066]
1066,78 unequal: No Solution
Exploring Operation: 26+41=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[5, 12], Operations: ['21+4=25', '37-25=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,78 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[37, 5], Operations: ['21+4=25', '25/5=5']
Exploring Operation: 37*5=185, Resulting Numbers: [185]
185,78 unequal: No Solution
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,78 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Moving to Node #0,3,3
Current State: 78:[4, 11], Operations: ['21+5=26', '37-26=11']
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,78 unequal: No Solution
Moving to Node #0,0,3
Current State: 78:[25, 42], Operations: ['21+4=25', '37+5=42']
Exploring Operation: 25*42=1050, Resulting Numbers: [1050]
1050,78 unequal: No Solution
Exploring Operation: 42-25=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 25+42=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Moving to Node #0,3,1
Current State: 78:[26, 33], Operations: ['21+5=26', '37-4=33']
Exploring Operation: 26*33=858, Resulting Numbers: [858]
858,78 unequal: No Solution
Exploring Operation: 26+33=59, Resulting Numbers: [59]
59,78 unequal: No Solution
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[37, 30], Operations: ['21+4=25', '5+25=30']
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 37*30=1110, Resulting Numbers: [1110]
1110,78 unequal: No Solution
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Moving to Node #0,3,2
Current State: 78:[37, 30], Operations: ['21+5=26', '4+26=30']
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 37*30=1110, Resulting Numbers: [1110]
1110,78 unequal: No Solution
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,78 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
22,
10,
81,
87
] | 14 | [
"22-10=12",
"81+87=168",
"168/12=14"
] | Current State: 14:[22, 10, 81, 87], Operations: []
Exploring Operation: 22-10=12, Resulting Numbers: [81, 87, 12]
Generated Node #2: [81, 87, 12] from Operation: 22-10=12
Current State: 14:[81, 87, 12], Operations: ['22-10=12']
Exploring Operation: 81+87=168, Resulting Numbers: [12, 168]
Generated Node #3: [12, 168] from Operation: 81+87=168
Current State: 14:[12, 168], Operations: ['22-10=12', '81+87=168']
Exploring Operation: 168/12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[22, 10, 81, 87], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [22, 10, 6]
Generated Node #0,0: 14:[22, 10, 6] Operation: 87-81=6
Exploring Operation: 87-22=65, Resulting Numbers: [10, 81, 65]
Generated Node #0,1: 14:[10, 81, 65] Operation: 87-22=65
Exploring Operation: 81-22=59, Resulting Numbers: [10, 87, 59]
Generated Node #0,2: 14:[10, 87, 59] Operation: 81-22=59
Moving to Node #0,0
Current State: 14:[22, 10, 6], Operations: ['87-81=6']
Exploring Operation: 10+6=16, Resulting Numbers: [22, 16]
Generated Node #0,0,0: 14:[22, 16] Operation: 10+6=16
Exploring Operation: 22-6=16, Resulting Numbers: [10, 16]
Generated Node #0,0,1: 14:[10, 16] Operation: 22-6=16
Exploring Operation: 22-10=12, Resulting Numbers: [6, 12]
Generated Node #0,0,2: 14:[6, 12] Operation: 22-10=12
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[6, 12], Operations: ['87-81=6', '22-10=12']
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[10, 16], Operations: ['87-81=6', '22-6=16']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,14 unequal: No Solution
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[22, 16], Operations: ['87-81=6', '10+6=16']
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,14 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 14:[10, 81, 65], Operations: ['87-22=65']
Exploring Operation: 81-10=71, Resulting Numbers: [65, 71]
Generated Node #0,1,0: 14:[65, 71] Operation: 81-10=71
Exploring Operation: 81-65=16, Resulting Numbers: [10, 16]
Generated Node #0,1,1: 14:[10, 16] Operation: 81-65=16
Exploring Operation: 65-10=55, Resulting Numbers: [81, 55]
Generated Node #0,1,2: 14:[81, 55] Operation: 65-10=55
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 14:[10, 16], Operations: ['87-22=65', '81-65=16']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,14 unequal: No Solution
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 14:[65, 71], Operations: ['87-22=65', '81-10=71']
Exploring Operation: 65+71=136, Resulting Numbers: [136]
136,14 unequal: No Solution
Exploring Operation: 65*71=4615, Resulting Numbers: [4615]
4615,14 unequal: No Solution
Exploring Operation: 71-65=6, Resulting Numbers: [6]
6,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 14:[81, 55], Operations: ['87-22=65', '65-10=55']
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 81+55=136, Resulting Numbers: [136]
136,14 unequal: No Solution
Exploring Operation: 81*55=4455, Resulting Numbers: [4455]
4455,14 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: 14:[10, 87, 59], Operations: ['81-22=59']
Exploring Operation: 59-10=49, Resulting Numbers: [87, 49]
Generated Node #0,2,0: 14:[87, 49] Operation: 59-10=49
Exploring Operation: 87-59=28, Resulting Numbers: [10, 28]
Generated Node #0,2,1: 14:[10, 28] Operation: 87-59=28
Exploring Operation: 87-10=77, Resulting Numbers: [59, 77]
Generated Node #0,2,2: 14:[59, 77] Operation: 87-10=77
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 14:[10, 28], Operations: ['81-22=59', '87-59=28']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,14 unequal: No Solution
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[87, 49], Operations: ['81-22=59', '59-10=49']
Exploring Operation: 87-49=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Exploring Operation: 87+49=136, Resulting Numbers: [136]
136,14 unequal: No Solution
Exploring Operation: 87*49=4263, Resulting Numbers: [4263]
4263,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[59, 77], Operations: ['81-22=59', '87-10=77']
Exploring Operation: 59+77=136, Resulting Numbers: [136]
136,14 unequal: No Solution
Exploring Operation: 59*77=4543, Resulting Numbers: [4543]
4543,14 unequal: No Solution
Exploring Operation: 77-59=18, Resulting Numbers: [18]
18,14 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 |
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