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 |
|---|---|---|---|---|---|---|---|---|
[
68,
54,
83,
18
] | 79 | [
"68-54=14",
"83-18=65",
"14+65=79"
] | Current State: 79:[68, 54, 83, 18], Operations: []
Exploring Operation: 68-54=14, Resulting Numbers: [83, 18, 14]
Generated Node #2: [83, 18, 14] from Operation: 68-54=14
Current State: 79:[83, 18, 14], Operations: ['68-54=14']
Exploring Operation: 83-18=65, Resulting Numbers: [14, 65]
Generated Node #3: [14, 65] from Operation: 83-18=65
Current State: 79:[14, 65], Operations: ['68-54=14', '83-18=65']
Exploring Operation: 14+65=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[68, 54, 83, 18], Operations: []
Exploring Operation: 54+18=72, Resulting Numbers: [68, 83, 72]
Generated Node #0,0: 79:[68, 83, 72] Operation: 54+18=72
Moving to Node #0,0
Current State: 79:[68, 83, 72], Operations: ['54+18=72']
Exploring Operation: 68+72=140, Resulting Numbers: [83, 140]
Generated Node #0,0,0: 79:[83, 140] Operation: 68+72=140
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[83, 140], Operations: ['54+18=72', '68+72=140']
Exploring Operation: 140-83=57, Resulting Numbers: [57]
57,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
9,
46,
6,
68
] | 78 | [
"9+46=55",
"68-55=13",
"6*13=78"
] | Current State: 78:[9, 46, 6, 68], Operations: []
Exploring Operation: 9+46=55, Resulting Numbers: [6, 68, 55]
Generated Node #2: [6, 68, 55] from Operation: 9+46=55
Current State: 78:[6, 68, 55], Operations: ['9+46=55']
Exploring Operation: 68-55=13, Resulting Numbers: [6, 13]
Generated Node #3: [6, 13] from Operation: 68-55=13
Current State: 78:[6, 13], Operations: ['9+46=55', '68-55=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[9, 46, 6, 68], Operations: []
Exploring Operation: 68-46=22, Resulting Numbers: [9, 6, 22]
Generated Node #0,0: 78:[9, 6, 22] Operation: 68-46=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[9, 6, 22], Operations: ['68-46=22']
Exploring Operation: 22-9=13, Resulting Numbers: [6, 13]
Generated Node #0,0,0: 78:[6, 13] Operation: 22-9=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[6, 13], Operations: ['68-46=22', '22-9=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[9, 46, 6, 68], Operations: []
Exploring Operation: 68-46=22, Resulting Numbers: [9, 6, 22]
Generated Node #0,0: 78:[9, 6, 22] Operation: 68-46=22
Moving to Node #0,0
Current State: 78:[9, 6, 22], Operations: ['68-46=22']
Exploring Operation: 22-9=13, Resulting Numbers: [6, 13]
Generated Node #0,0,0: 78:[6, 13] Operation: 22-9=13
Moving to Node #0,0,0
Current State: 78:[6, 13], Operations: ['68-46=22', '22-9=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
5,
18,
48,
72
] | 57 | [
"5+48=53",
"72/18=4",
"53+4=57"
] | Current State: 57:[5, 18, 48, 72], Operations: []
Exploring Operation: 5+48=53, Resulting Numbers: [18, 72, 53]
Generated Node #2: [18, 72, 53] from Operation: 5+48=53
Current State: 57:[18, 72, 53], Operations: ['5+48=53']
Exploring Operation: 72/18=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 72/18=4
Current State: 57:[53, 4], Operations: ['5+48=53', '72/18=4']
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[5, 18, 48, 72], Operations: []
Exploring Operation: 72-48=24, Resulting Numbers: [5, 18, 24]
Generated Node #0,0: 57:[5, 18, 24] Operation: 72-48=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[5, 18, 24], Operations: ['72-48=24']
Exploring Operation: 24-5=19, Resulting Numbers: [18, 19]
Generated Node #0,0,0: 57:[18, 19] Operation: 24-5=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 57:[18, 19], Operations: ['72-48=24', '24-5=19']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
50,
10,
12,
18
] | 52 | [
"50+18=68",
"10*12=120",
"120-68=52"
] | Current State: 52:[50, 10, 12, 18], Operations: []
Exploring Operation: 50+18=68, Resulting Numbers: [10, 12, 68]
Generated Node #2: [10, 12, 68] from Operation: 50+18=68
Current State: 52:[10, 12, 68], Operations: ['50+18=68']
Exploring Operation: 10*12=120, Resulting Numbers: [68, 120]
Generated Node #3: [68, 120] from Operation: 10*12=120
Current State: 52:[68, 120], Operations: ['50+18=68', '10*12=120']
Exploring Operation: 120-68=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[50, 10, 12, 18], Operations: []
Exploring Operation: 10+18=28, Resulting Numbers: [50, 12, 28]
Generated Node #0,0: 52:[50, 12, 28] Operation: 10+18=28
Moving to Node #0,0
Current State: 52:[50, 12, 28], Operations: ['10+18=28']
Exploring Operation: 50-28=22, Resulting Numbers: [12, 22]
Generated Node #0,0,0: 52:[12, 22] Operation: 50-28=22
Moving to Node #0,0,0
Current State: 52:[12, 22], Operations: ['10+18=28', '50-28=22']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,52 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
36,
90,
41,
81
] | 37 | [
"90-81=9",
"36/9=4",
"41-4=37"
] | Current State: 37:[36, 90, 41, 81], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [36, 41, 9]
Generated Node #2: [36, 41, 9] from Operation: 90-81=9
Current State: 37:[36, 41, 9], Operations: ['90-81=9']
Exploring Operation: 36/9=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 36/9=4
Current State: 37:[41, 4], Operations: ['90-81=9', '36/9=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[36, 90, 41, 81], Operations: []
Exploring Operation: 90-41=49, Resulting Numbers: [36, 81, 49]
Generated Node #0,0: 37:[36, 81, 49] Operation: 90-41=49
Exploring Operation: 81-41=40, Resulting Numbers: [36, 90, 40]
Generated Node #0,1: 37:[36, 90, 40] Operation: 81-41=40
Exploring Operation: 90-81=9, Resulting Numbers: [36, 41, 9]
Generated Node #0,2: 37:[36, 41, 9] Operation: 90-81=9
Moving to Node #0,2
Current State: 37:[36, 41, 9], Operations: ['90-81=9']
Exploring Operation: 41-9=32, Resulting Numbers: [36, 32]
Generated Node #0,2,0: 37:[36, 32] Operation: 41-9=32
Exploring Operation: 36+9=45, Resulting Numbers: [41, 45]
Generated Node #0,2,1: 37:[41, 45] Operation: 36+9=45
Exploring Operation: 36-9=27, Resulting Numbers: [41, 27]
Generated Node #0,2,2: 37:[41, 27] Operation: 36-9=27
Moving to Node #0,0
Current State: 37:[36, 81, 49], Operations: ['90-41=49']
Exploring Operation: 81-49=32, Resulting Numbers: [36, 32]
Generated Node #0,0,0: 37:[36, 32] Operation: 81-49=32
Exploring Operation: 49-36=13, Resulting Numbers: [81, 13]
Generated Node #0,0,1: 37:[81, 13] Operation: 49-36=13
Exploring Operation: 81-36=45, Resulting Numbers: [49, 45]
Generated Node #0,0,2: 37:[49, 45] Operation: 81-36=45
Moving to Node #0,1
Current State: 37:[36, 90, 40], Operations: ['81-41=40']
Exploring Operation: 40-36=4, Resulting Numbers: [90, 4]
Generated Node #0,1,0: 37:[90, 4] Operation: 40-36=4
Exploring Operation: 90-40=50, Resulting Numbers: [36, 50]
Generated Node #0,1,1: 37:[36, 50] Operation: 90-40=50
Exploring Operation: 90-36=54, Resulting Numbers: [40, 54]
Generated Node #0,1,2: 37:[40, 54] Operation: 90-36=54
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[36, 50], Operations: ['81-41=40', '90-40=50']
Exploring Operation: 50-36=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 36*50=1800, Resulting Numbers: [1800]
1800,37 unequal: No Solution
Exploring Operation: 36+50=86, Resulting Numbers: [86]
86,37 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 #0,1,2
Current State: 37:[40, 54], Operations: ['81-41=40', '90-36=54']
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,37 unequal: No Solution
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,37 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 #0,1,0
Current State: 37:[90, 4], Operations: ['81-41=40', '40-36=4']
Exploring Operation: 90*4=360, Resulting Numbers: [360]
360,37 unequal: No Solution
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,37 unequal: No Solution
Exploring Operation: 90+4=94, Resulting Numbers: [94]
94,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 37:[36, 32], Operations: ['90-81=9', '41-9=32']
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 36*32=1152, Resulting Numbers: [1152]
1152,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[36, 32], Operations: ['90-41=49', '81-49=32']
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 36*32=1152, Resulting Numbers: [1152]
1152,37 unequal: No Solution
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[41, 45], Operations: ['90-81=9', '36+9=45']
Exploring Operation: 41*45=1845, Resulting Numbers: [1845]
1845,37 unequal: No Solution
Exploring Operation: 41+45=86, Resulting Numbers: [86]
86,37 unequal: No Solution
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[41, 27], Operations: ['90-81=9', '36-9=27']
Exploring Operation: 41*27=1107, Resulting Numbers: [1107]
1107,37 unequal: No Solution
Exploring Operation: 41+27=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[49, 45], Operations: ['90-41=49', '81-36=45']
Exploring Operation: 49-45=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 49+45=94, Resulting Numbers: [94]
94,37 unequal: No Solution
Exploring Operation: 49*45=2205, Resulting Numbers: [2205]
2205,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[81, 13], Operations: ['90-41=49', '49-36=13']
Exploring Operation: 81*13=1053, Resulting Numbers: [1053]
1053,37 unequal: No Solution
Exploring Operation: 81+13=94, Resulting Numbers: [94]
94,37 unequal: No Solution
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,37 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
26,
58,
27,
75
] | 15 | [
"58-26=32",
"32-27=5",
"75/5=15"
] | Current State: 15:[26, 58, 27, 75], Operations: []
Exploring Operation: 58-26=32, Resulting Numbers: [27, 75, 32]
Generated Node #2: [27, 75, 32] from Operation: 58-26=32
Current State: 15:[27, 75, 32], Operations: ['58-26=32']
Exploring Operation: 32-27=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 32-27=5
Current State: 15:[75, 5], Operations: ['58-26=32', '32-27=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[26, 58, 27, 75], Operations: []
Exploring Operation: 75-58=17, Resulting Numbers: [26, 27, 17]
Generated Node #0,0: 15:[26, 27, 17] Operation: 75-58=17
Moving to Node #0,0
Current State: 15:[26, 27, 17], Operations: ['75-58=17']
Exploring Operation: 27-26=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 15:[17, 1] Operation: 27-26=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[17, 1], Operations: ['75-58=17', '27-26=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,15 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 |
[
70,
57,
53,
19
] | 47 | [
"70-57=13",
"53-19=34",
"13+34=47"
] | Current State: 47:[70, 57, 53, 19], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [53, 19, 13]
Generated Node #2: [53, 19, 13] from Operation: 70-57=13
Current State: 47:[53, 19, 13], Operations: ['70-57=13']
Exploring Operation: 53-19=34, Resulting Numbers: [13, 34]
Generated Node #3: [13, 34] from Operation: 53-19=34
Current State: 47:[13, 34], Operations: ['70-57=13', '53-19=34']
Exploring Operation: 13+34=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[70, 57, 53, 19], Operations: []
Exploring Operation: 57+19=76, Resulting Numbers: [70, 53, 76]
Generated Node #0,0: 47:[70, 53, 76] Operation: 57+19=76
Exploring Operation: 53-19=34, Resulting Numbers: [70, 57, 34]
Generated Node #0,1: 47:[70, 57, 34] Operation: 53-19=34
Exploring Operation: 70-19=51, Resulting Numbers: [57, 53, 51]
Generated Node #0,2: 47:[57, 53, 51] Operation: 70-19=51
Exploring Operation: 70+19=89, Resulting Numbers: [57, 53, 89]
Generated Node #0,3: 47:[57, 53, 89] Operation: 70+19=89
Exploring Operation: 57-19=38, Resulting Numbers: [70, 53, 38]
Generated Node #0,4: 47:[70, 53, 38] Operation: 57-19=38
Moving to Node #0,2
Current State: 47:[57, 53, 51], Operations: ['70-19=51']
Exploring Operation: 57-51=6, Resulting Numbers: [53, 6]
Generated Node #0,2,0: 47:[53, 6] Operation: 57-51=6
Exploring Operation: 57+51=108, Resulting Numbers: [53, 108]
Generated Node #0,2,1: 47:[53, 108] Operation: 57+51=108
Exploring Operation: 53-51=2, Resulting Numbers: [57, 2]
Generated Node #0,2,2: 47:[57, 2] Operation: 53-51=2
Exploring Operation: 57-53=4, Resulting Numbers: [51, 4]
Generated Node #0,2,3: 47:[51, 4] Operation: 57-53=4
Exploring Operation: 57+53=110, Resulting Numbers: [51, 110]
Generated Node #0,2,4: 47:[51, 110] Operation: 57+53=110
Moving to Node #0,4
Current State: 47:[70, 53, 38], Operations: ['57-19=38']
Exploring Operation: 53-38=15, Resulting Numbers: [70, 15]
Generated Node #0,4,0: 47:[70, 15] Operation: 53-38=15
Exploring Operation: 70-53=17, Resulting Numbers: [38, 17]
Generated Node #0,4,1: 47:[38, 17] Operation: 70-53=17
Exploring Operation: 70-38=32, Resulting Numbers: [53, 32]
Generated Node #0,4,2: 47:[53, 32] Operation: 70-38=32
Exploring Operation: 53+38=91, Resulting Numbers: [70, 91]
Generated Node #0,4,3: 47:[70, 91] Operation: 53+38=91
Exploring Operation: 70+38=108, Resulting Numbers: [53, 108]
Generated Node #0,4,4: 47:[53, 108] Operation: 70+38=108
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 47:[53, 32], Operations: ['57-19=38', '70-38=32']
Exploring Operation: 53-32=21, Resulting Numbers: [21]
21,47 unequal: No Solution
Exploring Operation: 53*32=1696, Resulting Numbers: [1696]
1696,47 unequal: No Solution
Exploring Operation: 53+32=85, Resulting Numbers: [85]
85,47 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 #0,4,1
Current State: 47:[38, 17], Operations: ['57-19=38', '70-53=17']
Exploring Operation: 38*17=646, Resulting Numbers: [646]
646,47 unequal: No Solution
Exploring Operation: 38+17=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,47 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 #0,4,0
Current State: 47:[70, 15], Operations: ['57-19=38', '53-38=15']
Exploring Operation: 70*15=1050, Resulting Numbers: [1050]
1050,47 unequal: No Solution
Exploring Operation: 70+15=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,47 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 #0,4,3
Current State: 47:[70, 91], Operations: ['57-19=38', '53+38=91']
Exploring Operation: 70+91=161, Resulting Numbers: [161]
161,47 unequal: No Solution
Exploring Operation: 70*91=6370, Resulting Numbers: [6370]
6370,47 unequal: No Solution
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,47 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 #0,4,4
Current State: 47:[53, 108], Operations: ['57-19=38', '70+38=108']
Exploring Operation: 108-53=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 53*108=5724, Resulting Numbers: [5724]
5724,47 unequal: No Solution
Exploring Operation: 53+108=161, Resulting Numbers: [161]
161,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 47:[70, 57, 34], Operations: ['53-19=34']
Exploring Operation: 70-34=36, Resulting Numbers: [57, 36]
Generated Node #0,1,0: 47:[57, 36] Operation: 70-34=36
Exploring Operation: 57-34=23, Resulting Numbers: [70, 23]
Generated Node #0,1,1: 47:[70, 23] Operation: 57-34=23
Exploring Operation: 57+34=91, Resulting Numbers: [70, 91]
Generated Node #0,1,2: 47:[70, 91] Operation: 57+34=91
Exploring Operation: 70+34=104, Resulting Numbers: [57, 104]
Generated Node #0,1,3: 47:[57, 104] Operation: 70+34=104
Exploring Operation: 70-57=13, Resulting Numbers: [34, 13]
Generated Node #0,1,4: 47:[34, 13] Operation: 70-57=13
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[57, 36], Operations: ['53-19=34', '70-34=36']
Exploring Operation: 57+36=93, Resulting Numbers: [93]
93,47 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,47 unequal: No Solution
Exploring Operation: 57*36=2052, Resulting Numbers: [2052]
2052,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[70, 23], Operations: ['53-19=34', '57-34=23']
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,47 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,47 unequal: No Solution
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[70, 57, 53, 19], Operations: []
Exploring Operation: 53-19=34, Resulting Numbers: [70, 57, 34]
Generated Node #0,1: 47:[70, 57, 34] Operation: 53-19=34
Moving to Node #0,1
Current State: 47:[70, 57, 34], Operations: ['53-19=34']
Exploring Operation: 57-34=23, Resulting Numbers: [70, 23]
Generated Node #0,1,1: 47:[70, 23] Operation: 57-34=23
Moving to Node #0,1,1
Current State: 47:[70, 23], Operations: ['53-19=34', '57-34=23']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_5 | mult_heuristic |
[
92,
34,
72,
52
] | 36 | [
"92+52=144",
"144/72=2",
"34+2=36"
] | Current State: 36:[92, 34, 72, 52], Operations: []
Exploring Operation: 92+52=144, Resulting Numbers: [34, 72, 144]
Generated Node #2: [34, 72, 144] from Operation: 92+52=144
Current State: 36:[34, 72, 144], Operations: ['92+52=144']
Exploring Operation: 144/72=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 144/72=2
Current State: 36:[34, 2], Operations: ['92+52=144', '144/72=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[92, 34, 72, 52], Operations: []
Exploring Operation: 92-52=40, Resulting Numbers: [34, 72, 40]
Generated Node #0,0: 36:[34, 72, 40] Operation: 92-52=40
Exploring Operation: 92-72=20, Resulting Numbers: [34, 52, 20]
Generated Node #0,1: 36:[34, 52, 20] Operation: 92-72=20
Moving to Node #0,1
Current State: 36:[34, 52, 20], Operations: ['92-72=20']
Exploring Operation: 52-20=32, Resulting Numbers: [34, 32]
Generated Node #0,1,0: 36:[34, 32] Operation: 52-20=32
Exploring Operation: 52-34=18, Resulting Numbers: [20, 18]
Generated Node #0,1,1: 36:[20, 18] Operation: 52-34=18
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[20, 18], Operations: ['92-72=20', '52-34=18']
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,36 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:[34, 32], Operations: ['92-72=20', '52-20=32']
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,36 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: 36:[34, 72, 40], Operations: ['92-52=40']
Exploring Operation: 72-40=32, Resulting Numbers: [34, 32]
Generated Node #0,0,0: 36:[34, 32] Operation: 72-40=32
Exploring Operation: 72-34=38, Resulting Numbers: [40, 38]
Generated Node #0,0,1: 36:[40, 38] Operation: 72-34=38
Moving to Node #0,0,0
Current State: 36:[34, 32], Operations: ['92-52=40', '72-40=32']
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[40, 38], Operations: ['92-52=40', '72-34=38']
Exploring Operation: 40+38=78, Resulting Numbers: [78]
78,36 unequal: No Solution
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,36 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
69,
34,
44,
17
] | 91 | [
"34/17=2",
"44/2=22",
"69+22=91"
] | Current State: 91:[69, 34, 44, 17], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [69, 44, 2]
Generated Node #2: [69, 44, 2] from Operation: 34/17=2
Current State: 91:[69, 44, 2], Operations: ['34/17=2']
Exploring Operation: 44/2=22, Resulting Numbers: [69, 22]
Generated Node #3: [69, 22] from Operation: 44/2=22
Current State: 91:[69, 22], Operations: ['34/17=2', '44/2=22']
Exploring Operation: 69+22=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[69, 34, 44, 17], Operations: []
Exploring Operation: 44-34=10, Resulting Numbers: [69, 17, 10]
Generated Node #0,0: 91:[69, 17, 10] Operation: 44-34=10
Moving to Node #0,0
Current State: 91:[69, 17, 10], Operations: ['44-34=10']
Exploring Operation: 69+17=86, Resulting Numbers: [10, 86]
Generated Node #0,0,0: 91:[10, 86] Operation: 69+17=86
Moving to Node #0,0,0
Current State: 91:[10, 86], Operations: ['44-34=10', '69+17=86']
Exploring Operation: 10+86=96, Resulting Numbers: [96]
96,91 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
56,
5,
72,
6
] | 49 | [
"56+5=61",
"72/6=12",
"61-12=49"
] | Current State: 49:[56, 5, 72, 6], Operations: []
Exploring Operation: 56+5=61, Resulting Numbers: [72, 6, 61]
Generated Node #2: [72, 6, 61] from Operation: 56+5=61
Current State: 49:[72, 6, 61], Operations: ['56+5=61']
Exploring Operation: 72/6=12, Resulting Numbers: [61, 12]
Generated Node #3: [61, 12] from Operation: 72/6=12
Current State: 49:[61, 12], Operations: ['56+5=61', '72/6=12']
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[56, 5, 72, 6], Operations: []
Exploring Operation: 56-5=51, Resulting Numbers: [72, 6, 51]
Generated Node #0,0: 49:[72, 6, 51] Operation: 56-5=51
Exploring Operation: 72/6=12, Resulting Numbers: [56, 5, 12]
Generated Node #0,1: 49:[56, 5, 12] Operation: 72/6=12
Exploring Operation: 56-6=50, Resulting Numbers: [5, 72, 50]
Generated Node #0,2: 49:[5, 72, 50] Operation: 56-6=50
Exploring Operation: 72-56=16, Resulting Numbers: [5, 6, 16]
Generated Node #0,3: 49:[5, 6, 16] Operation: 72-56=16
Moving to Node #0,3
Current State: 49:[5, 6, 16], Operations: ['72-56=16']
Exploring Operation: 6-5=1, Resulting Numbers: [16, 1]
Generated Node #0,3,0: 49:[16, 1] Operation: 6-5=1
Exploring Operation: 16-6=10, Resulting Numbers: [5, 10]
Generated Node #0,3,1: 49:[5, 10] Operation: 16-6=10
Exploring Operation: 16-5=11, Resulting Numbers: [6, 11]
Generated Node #0,3,2: 49:[6, 11] Operation: 16-5=11
Exploring Operation: 5+6=11, Resulting Numbers: [16, 11]
Generated Node #0,3,3: 49:[16, 11] Operation: 5+6=11
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 49:[5, 10], Operations: ['72-56=16', '16-6=10']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,49 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 #0,3,2
Current State: 49:[6, 11], Operations: ['72-56=16', '16-5=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,49 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,49 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 #0,3,3
Current State: 49:[16, 11], Operations: ['72-56=16', '5+6=11']
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,49 unequal: No Solution
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,49 unequal: No Solution
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,49 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 #0,3,0
Current State: 49:[16, 1], Operations: ['72-56=16', '6-5=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 49:[56, 5, 12], Operations: ['72/6=12']
Exploring Operation: 56-12=44, Resulting Numbers: [5, 44]
Generated Node #0,1,0: 49:[5, 44] Operation: 56-12=44
Exploring Operation: 12-5=7, Resulting Numbers: [56, 7]
Generated Node #0,1,1: 49:[56, 7] Operation: 12-5=7
Exploring Operation: 56-5=51, Resulting Numbers: [12, 51]
Generated Node #0,1,2: 49:[12, 51] Operation: 56-5=51
Exploring Operation: 56+5=61, Resulting Numbers: [12, 61]
Generated Node #0,1,3: 49:[12, 61] Operation: 56+5=61
Moving to Node #0,2
Current State: 49:[5, 72, 50], Operations: ['56-6=50']
Exploring Operation: 50-5=45, Resulting Numbers: [72, 45]
Generated Node #0,2,0: 49:[72, 45] Operation: 50-5=45
Exploring Operation: 72-50=22, Resulting Numbers: [5, 22]
Generated Node #0,2,1: 49:[5, 22] Operation: 72-50=22
Exploring Operation: 50/5=10, Resulting Numbers: [72, 10]
Generated Node #0,2,2: 49:[72, 10] Operation: 50/5=10
Exploring Operation: 72-5=67, Resulting Numbers: [50, 67]
Generated Node #0,2,3: 49:[50, 67] Operation: 72-5=67
Moving to Node #0,0
Current State: 49:[72, 6, 51], Operations: ['56-5=51']
Exploring Operation: 72-51=21, Resulting Numbers: [6, 21]
Generated Node #0,0,0: 49:[6, 21] Operation: 72-51=21
Exploring Operation: 72-6=66, Resulting Numbers: [51, 66]
Generated Node #0,0,1: 49:[51, 66] Operation: 72-6=66
Exploring Operation: 72/6=12, Resulting Numbers: [51, 12]
Generated Node #0,0,2: 49:[51, 12] Operation: 72/6=12
Exploring Operation: 51-6=45, Resulting Numbers: [72, 45]
Generated Node #0,0,3: 49:[72, 45] Operation: 51-6=45
Moving to Node #0,1,0
Current State: 49:[5, 44], Operations: ['72/6=12', '56-12=44']
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[56, 5, 72, 6], Operations: []
Exploring Operation: 72/6=12, Resulting Numbers: [56, 5, 12]
Generated Node #0,1: 49:[56, 5, 12] Operation: 72/6=12
Moving to Node #0,1
Current State: 49:[56, 5, 12], Operations: ['72/6=12']
Exploring Operation: 56-12=44, Resulting Numbers: [5, 44]
Generated Node #0,1,0: 49:[5, 44] Operation: 56-12=44
Moving to Node #0,1,0
Current State: 49:[5, 44], Operations: ['72/6=12', '56-12=44']
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 0.966146 | hs_4 | sum_heuristic |
[
10,
77,
33,
68
] | 33 | [
"77-10=67",
"68-67=1",
"33*1=33"
] | Current State: 33:[10, 77, 33, 68], Operations: []
Exploring Operation: 77-10=67, Resulting Numbers: [33, 68, 67]
Generated Node #2: [33, 68, 67] from Operation: 77-10=67
Current State: 33:[33, 68, 67], Operations: ['77-10=67']
Exploring Operation: 68-67=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 68-67=1
Current State: 33:[33, 1], Operations: ['77-10=67', '68-67=1']
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[10, 77, 33, 68], Operations: []
Exploring Operation: 77-33=44, Resulting Numbers: [10, 68, 44]
Generated Node #0,0: 33:[10, 68, 44] Operation: 77-33=44
Exploring Operation: 77-68=9, Resulting Numbers: [10, 33, 9]
Generated Node #0,1: 33:[10, 33, 9] Operation: 77-68=9
Moving to Node #0,1
Current State: 33:[10, 33, 9], Operations: ['77-68=9']
Exploring Operation: 10-9=1, Resulting Numbers: [33, 1]
Generated Node #0,1,0: 33:[33, 1] Operation: 10-9=1
Exploring Operation: 10+9=19, Resulting Numbers: [33, 19]
Generated Node #0,1,1: 33:[33, 19] Operation: 10+9=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[33, 1], Operations: ['77-68=9', '10-9=1']
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[10, 77, 33, 68], Operations: []
Exploring Operation: 77-68=9, Resulting Numbers: [10, 33, 9]
Generated Node #0,1: 33:[10, 33, 9] Operation: 77-68=9
Moving to Node #0,1
Current State: 33:[10, 33, 9], Operations: ['77-68=9']
Exploring Operation: 10-9=1, Resulting Numbers: [33, 1]
Generated Node #0,1,0: 33:[33, 1] Operation: 10-9=1
Moving to Node #0,1,0
Current State: 33:[33, 1], Operations: ['77-68=9', '10-9=1']
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
7,
61,
44,
53
] | 43 | [
"61-7=54",
"44+53=97",
"97-54=43"
] | Current State: 43:[7, 61, 44, 53], Operations: []
Exploring Operation: 61-7=54, Resulting Numbers: [44, 53, 54]
Generated Node #2: [44, 53, 54] from Operation: 61-7=54
Current State: 43:[44, 53, 54], Operations: ['61-7=54']
Exploring Operation: 44+53=97, Resulting Numbers: [54, 97]
Generated Node #3: [54, 97] from Operation: 44+53=97
Current State: 43:[54, 97], Operations: ['61-7=54', '44+53=97']
Exploring Operation: 97-54=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[7, 61, 44, 53], Operations: []
Exploring Operation: 7+61=68, Resulting Numbers: [44, 53, 68]
Generated Node #0,0: 43:[44, 53, 68] Operation: 7+61=68
Exploring Operation: 44-7=37, Resulting Numbers: [61, 53, 37]
Generated Node #0,1: 43:[61, 53, 37] Operation: 44-7=37
Exploring Operation: 53-7=46, Resulting Numbers: [61, 44, 46]
Generated Node #0,2: 43:[61, 44, 46] Operation: 53-7=46
Exploring Operation: 61-7=54, Resulting Numbers: [44, 53, 54]
Generated Node #0,3: 43:[44, 53, 54] Operation: 61-7=54
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[61, 44, 46], Operations: ['53-7=46']
Exploring Operation: 46-44=2, Resulting Numbers: [61, 2]
Generated Node #0,2,0: 43:[61, 2] Operation: 46-44=2
Exploring Operation: 61+44=105, Resulting Numbers: [46, 105]
Generated Node #0,2,1: 43:[46, 105] Operation: 61+44=105
Exploring Operation: 61-44=17, Resulting Numbers: [46, 17]
Generated Node #0,2,2: 43:[46, 17] Operation: 61-44=17
Exploring Operation: 61-46=15, Resulting Numbers: [44, 15]
Generated Node #0,2,3: 43:[44, 15] Operation: 61-46=15
Moving to Node #0,2,2
Current State: 43:[46, 17], Operations: ['53-7=46', '61-44=17']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,43 unequal: No Solution
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,43 unequal: No Solution
Exploring Operation: 46*17=782, Resulting Numbers: [782]
782,43 unequal: No Solution
Moving to Node #0,2,3
Current State: 43:[44, 15], Operations: ['53-7=46', '61-46=15']
Exploring Operation: 44+15=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,43 unequal: No Solution
Exploring Operation: 44*15=660, Resulting Numbers: [660]
660,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[61, 2], Operations: ['53-7=46', '46-44=2']
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,43 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 61*2=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Moving to Node #0,2,1
Current State: 43:[46, 105], Operations: ['53-7=46', '61+44=105']
Exploring Operation: 46*105=4830, Resulting Numbers: [4830]
4830,43 unequal: No Solution
Exploring Operation: 105-46=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 46+105=151, Resulting Numbers: [151]
151,43 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
Current State: 43:[44, 53, 54], Operations: ['61-7=54']
Exploring Operation: 54-53=1, Resulting Numbers: [44, 1]
Generated Node #0,3,0: 43:[44, 1] Operation: 54-53=1
Exploring Operation: 54-44=10, Resulting Numbers: [53, 10]
Generated Node #0,3,1: 43:[53, 10] Operation: 54-44=10
Exploring Operation: 53-44=9, Resulting Numbers: [54, 9]
Generated Node #0,3,2: 43:[54, 9] Operation: 53-44=9
Exploring Operation: 44+53=97, Resulting Numbers: [54, 97]
Generated Node #0,3,3: 43:[54, 97] Operation: 44+53=97
Moving to Node #0,3,0
Current State: 43:[44, 1], Operations: ['61-7=54', '54-53=1']
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[7, 61, 44, 53], Operations: []
Exploring Operation: 61-7=54, Resulting Numbers: [44, 53, 54]
Generated Node #0,3: 43:[44, 53, 54] Operation: 61-7=54
Moving to Node #0,3
Current State: 43:[44, 53, 54], Operations: ['61-7=54']
Exploring Operation: 54-53=1, Resulting Numbers: [44, 1]
Generated Node #0,3,0: 43:[44, 1] Operation: 54-53=1
Moving to Node #0,3,0
Current State: 43:[44, 1], Operations: ['61-7=54', '54-53=1']
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | mult_heuristic |
[
38,
5,
3,
10
] | 15 | [
"38-3=35",
"5*10=50",
"50-35=15"
] | Current State: 15:[38, 5, 3, 10], Operations: []
Exploring Operation: 38-3=35, Resulting Numbers: [5, 10, 35]
Generated Node #2: [5, 10, 35] from Operation: 38-3=35
Current State: 15:[5, 10, 35], Operations: ['38-3=35']
Exploring Operation: 5*10=50, Resulting Numbers: [35, 50]
Generated Node #3: [35, 50] from Operation: 5*10=50
Current State: 15:[35, 50], Operations: ['38-3=35', '5*10=50']
Exploring Operation: 50-35=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[38, 5, 3, 10], Operations: []
Exploring Operation: 38-5=33, Resulting Numbers: [3, 10, 33]
Generated Node #0,0: 15:[3, 10, 33] Operation: 38-5=33
Exploring Operation: 38-10=28, Resulting Numbers: [5, 3, 28]
Generated Node #0,1: 15:[5, 3, 28] Operation: 38-10=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[5, 3, 28], Operations: ['38-10=28']
Exploring Operation: 28-3=25, Resulting Numbers: [5, 25]
Generated Node #0,1,0: 15:[5, 25] Operation: 28-3=25
Exploring Operation: 28-5=23, Resulting Numbers: [3, 23]
Generated Node #0,1,1: 15:[3, 23] Operation: 28-5=23
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[3, 23], Operations: ['38-10=28', '28-5=23']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,15 unequal: No Solution
No 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: 15:[5, 25], Operations: ['38-10=28', '28-3=25']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,15 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: 15:[3, 10, 33], Operations: ['38-5=33']
Exploring Operation: 33-10=23, Resulting Numbers: [3, 23]
Generated Node #0,0,0: 15:[3, 23] Operation: 33-10=23
Exploring Operation: 33/3=11, Resulting Numbers: [10, 11]
Generated Node #0,0,1: 15:[10, 11] Operation: 33/3=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[3, 23], Operations: ['38-5=33', '33-10=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,15 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,15 unequal: No Solution
No 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: 15:[10, 11], Operations: ['38-5=33', '33/3=11']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
10,
8,
86,
28
] | 88 | [
"28-8=20",
"20/10=2",
"86+2=88"
] | Current State: 88:[10, 8, 86, 28], Operations: []
Exploring Operation: 28-8=20, Resulting Numbers: [10, 86, 20]
Generated Node #2: [10, 86, 20] from Operation: 28-8=20
Current State: 88:[10, 86, 20], Operations: ['28-8=20']
Exploring Operation: 20/10=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 20/10=2
Current State: 88:[86, 2], Operations: ['28-8=20', '20/10=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[10, 8, 86, 28], Operations: []
Exploring Operation: 28-10=18, Resulting Numbers: [8, 86, 18]
Generated Node #0,0: 88:[8, 86, 18] Operation: 28-10=18
Exploring Operation: 8+28=36, Resulting Numbers: [10, 86, 36]
Generated Node #0,1: 88:[10, 86, 36] Operation: 8+28=36
Exploring Operation: 10-8=2, Resulting Numbers: [86, 28, 2]
Generated Node #0,2: 88:[86, 28, 2] Operation: 10-8=2
Exploring Operation: 28-8=20, Resulting Numbers: [10, 86, 20]
Generated Node #0,3: 88:[10, 86, 20] Operation: 28-8=20
Exploring Operation: 10+28=38, Resulting Numbers: [8, 86, 38]
Generated Node #0,4: 88:[8, 86, 38] Operation: 10+28=38
Start Sub Search at level 1: Moving to Node #0,3
Current State: 88:[10, 86, 20], Operations: ['28-8=20']
Exploring Operation: 86-10=76, Resulting Numbers: [20, 76]
Generated Node #0,3,0: 88:[20, 76] Operation: 86-10=76
Exploring Operation: 20/10=2, Resulting Numbers: [86, 2]
Generated Node #0,3,1: 88:[86, 2] Operation: 20/10=2
Exploring Operation: 10+86=96, Resulting Numbers: [20, 96]
Generated Node #0,3,2: 88:[20, 96] Operation: 10+86=96
Exploring Operation: 20-10=10, Resulting Numbers: [86, 10]
Generated Node #0,3,3: 88:[86, 10] Operation: 20-10=10
Exploring Operation: 10+20=30, Resulting Numbers: [86, 30]
Generated Node #0,3,4: 88:[86, 30] Operation: 10+20=30
Moving to Node #0,3,1
Current State: 88:[86, 2], Operations: ['28-8=20', '20/10=2']
Exploring Operation: 86*2=172, Resulting Numbers: [172]
172,88 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,88 unequal: No Solution
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,88 unequal: No Solution
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[10, 8, 86, 28], Operations: []
Exploring Operation: 28-8=20, Resulting Numbers: [10, 86, 20]
Generated Node #0,3: 88:[10, 86, 20] Operation: 28-8=20
Moving to Node #0,3
Current State: 88:[10, 86, 20], Operations: ['28-8=20']
Exploring Operation: 20/10=2, Resulting Numbers: [86, 2]
Generated Node #0,3,1: 88:[86, 2] Operation: 20/10=2
Moving to Node #0,3,1
Current State: 88:[86, 2], Operations: ['28-8=20', '20/10=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
9,
11,
28,
2
] | 35 | [
"9*2=18",
"28-11=17",
"18+17=35"
] | Current State: 35:[9, 11, 28, 2], Operations: []
Exploring Operation: 9*2=18, Resulting Numbers: [11, 28, 18]
Generated Node #2: [11, 28, 18] from Operation: 9*2=18
Current State: 35:[11, 28, 18], Operations: ['9*2=18']
Exploring Operation: 28-11=17, Resulting Numbers: [18, 17]
Generated Node #3: [18, 17] from Operation: 28-11=17
Current State: 35:[18, 17], Operations: ['9*2=18', '28-11=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[9, 11, 28, 2], Operations: []
Exploring Operation: 11+28=39, Resulting Numbers: [9, 2, 39]
Generated Node #0,0: 35:[9, 2, 39] Operation: 11+28=39
Exploring Operation: 9-2=7, Resulting Numbers: [11, 28, 7]
Generated Node #0,1: 35:[11, 28, 7] Operation: 9-2=7
Exploring Operation: 11-2=9, Resulting Numbers: [9, 28, 9]
Generated Node #0,2: 35:[9, 28, 9] Operation: 11-2=9
Exploring Operation: 9+28=37, Resulting Numbers: [11, 2, 37]
Generated Node #0,3: 35:[11, 2, 37] Operation: 9+28=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[9, 2, 39], Operations: ['11+28=39']
Exploring Operation: 39-2=37, Resulting Numbers: [9, 37]
Generated Node #0,0,0: 35:[9, 37] Operation: 39-2=37
Exploring Operation: 9+2=11, Resulting Numbers: [39, 11]
Generated Node #0,0,1: 35:[39, 11] Operation: 9+2=11
Exploring Operation: 39-9=30, Resulting Numbers: [2, 30]
Generated Node #0,0,2: 35:[2, 30] Operation: 39-9=30
Exploring Operation: 9-2=7, Resulting Numbers: [39, 7]
Generated Node #0,0,3: 35:[39, 7] Operation: 9-2=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[9, 37], Operations: ['11+28=39', '39-2=37']
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 35:[39, 7], Operations: ['11+28=39', '9-2=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[39, 11], Operations: ['11+28=39', '9+2=11']
Exploring Operation: 39*11=429, Resulting Numbers: [429]
429,35 unequal: No Solution
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 35:[2, 30], Operations: ['11+28=39', '39-9=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,35 unequal: No Solution
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 35:[11, 2, 37], Operations: ['9+28=37']
Exploring Operation: 11+2=13, Resulting Numbers: [37, 13]
Generated Node #0,3,0: 35:[37, 13] Operation: 11+2=13
Exploring Operation: 11-2=9, Resulting Numbers: [37, 9]
Generated Node #0,3,1: 35:[37, 9] Operation: 11-2=9
Exploring Operation: 2+37=39, Resulting Numbers: [11, 39]
Generated Node #0,3,2: 35:[11, 39] Operation: 2+37=39
Exploring Operation: 37-2=35, Resulting Numbers: [11, 35]
Generated Node #0,3,3: 35:[11, 35] Operation: 37-2=35
Moving to Node #0,3,1
Current State: 35:[37, 9], Operations: ['9+28=37', '11-2=9']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 37*9=333, Resulting Numbers: [333]
333,35 unequal: No Solution
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Moving to Node #0,3,3
Current State: 35:[11, 35], Operations: ['9+28=37', '37-2=35']
Exploring Operation: 11*35=385, Resulting Numbers: [385]
385,35 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Moving to Node #0,3,2
Current State: 35:[11, 39], Operations: ['9+28=37', '2+37=39']
Exploring Operation: 11+39=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 11*39=429, Resulting Numbers: [429]
429,35 unequal: No Solution
Moving to Node #0,3,0
Current State: 35:[37, 13], Operations: ['9+28=37', '11+2=13']
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 37*13=481, Resulting Numbers: [481]
481,35 unequal: No Solution
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[11, 28, 7], Operations: ['9-2=7']
Exploring Operation: 28/7=4, Resulting Numbers: [11, 4]
Generated Node #0,1,0: 35:[11, 4] Operation: 28/7=4
Exploring Operation: 11-7=4, Resulting Numbers: [28, 4]
Generated Node #0,1,1: 35:[28, 4] Operation: 11-7=4
Exploring Operation: 28+7=35, Resulting Numbers: [11, 35]
Generated Node #0,1,2: 35:[11, 35] Operation: 28+7=35
Exploring Operation: 11+28=39, Resulting Numbers: [7, 39]
Generated Node #0,1,3: 35:[7, 39] Operation: 11+28=39
Moving to Node #0,1,2
Current State: 35:[11, 35], Operations: ['9-2=7', '28+7=35']
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 11*35=385, Resulting Numbers: [385]
385,35 unequal: No Solution
Moving to Node #0,1,3
Current State: 35:[7, 39], Operations: ['9-2=7', '11+28=39']
Exploring Operation: 7*39=273, Resulting Numbers: [273]
273,35 unequal: No Solution
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Moving to Node #0,1,0
Current State: 35:[11, 4], Operations: ['9-2=7', '28/7=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,35 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[28, 4], Operations: ['9-2=7', '11-7=4']
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 28*4=112, Resulting Numbers: [112]
112,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[9, 28, 9], Operations: ['11-2=9']
Exploring Operation: 9/9=1, Resulting Numbers: [28, 1]
Generated Node #0,2,0: 35:[28, 1] Operation: 9/9=1
Exploring Operation: 9-9=0, Resulting Numbers: [28, 0]
Generated Node #0,2,1: 35:[28, 0] Operation: 9-9=0
Exploring Operation: 9+28=37, Resulting Numbers: [9, 37]
Generated Node #0,2,2: 35:[9, 37] Operation: 9+28=37
Exploring Operation: 28+9=37, Resulting Numbers: [9, 37]
Generated Node #0,2,3: 35:[9, 37] Operation: 28+9=37
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 35:[9, 37], Operations: ['11-2=9', '9+28=37']
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,35 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 35:[9, 37], Operations: ['11-2=9', '28+9=37']
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 35:[28, 1], Operations: ['11-2=9', '9/9=1']
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,35 unequal: No Solution
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 35:[28, 0], Operations: ['11-2=9', '9-9=0']
Exploring Operation: 28+0=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 28*0=0, Resulting Numbers: [0]
0,35 unequal: No Solution
Exploring Operation: 28-0=28, Resulting Numbers: [28]
28,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
45,
32,
31,
6
] | 50 | [
"45-32=13",
"31+6=37",
"13+37=50"
] | Current State: 50:[45, 32, 31, 6], Operations: []
Exploring Operation: 45-32=13, Resulting Numbers: [31, 6, 13]
Generated Node #2: [31, 6, 13] from Operation: 45-32=13
Current State: 50:[31, 6, 13], Operations: ['45-32=13']
Exploring Operation: 31+6=37, Resulting Numbers: [13, 37]
Generated Node #3: [13, 37] from Operation: 31+6=37
Current State: 50:[13, 37], Operations: ['45-32=13', '31+6=37']
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[45, 32, 31, 6], Operations: []
Exploring Operation: 45-32=13, Resulting Numbers: [31, 6, 13]
Generated Node #0,0: 50:[31, 6, 13] Operation: 45-32=13
Exploring Operation: 32-31=1, Resulting Numbers: [45, 6, 1]
Generated Node #0,1: 50:[45, 6, 1] Operation: 32-31=1
Exploring Operation: 45-31=14, Resulting Numbers: [32, 6, 14]
Generated Node #0,2: 50:[32, 6, 14] Operation: 45-31=14
Moving to Node #0,1
Current State: 50:[45, 6, 1], Operations: ['32-31=1']
Exploring Operation: 45+1=46, Resulting Numbers: [6, 46]
Generated Node #0,1,0: 50:[6, 46] Operation: 45+1=46
Exploring Operation: 45+6=51, Resulting Numbers: [1, 51]
Generated Node #0,1,1: 50:[1, 51] Operation: 45+6=51
Exploring Operation: 6-1=5, Resulting Numbers: [45, 5]
Generated Node #0,1,2: 50:[45, 5] Operation: 6-1=5
Moving to Node #0,0
Current State: 50:[31, 6, 13], Operations: ['45-32=13']
Exploring Operation: 31-6=25, Resulting Numbers: [13, 25]
Generated Node #0,0,0: 50:[13, 25] Operation: 31-6=25
Exploring Operation: 31+13=44, Resulting Numbers: [6, 44]
Generated Node #0,0,1: 50:[6, 44] Operation: 31+13=44
Exploring Operation: 31-13=18, Resulting Numbers: [6, 18]
Generated Node #0,0,2: 50:[6, 18] Operation: 31-13=18
Moving to Node #0,2
Current State: 50:[32, 6, 14], Operations: ['45-31=14']
Exploring Operation: 32+14=46, Resulting Numbers: [6, 46]
Generated Node #0,2,0: 50:[6, 46] Operation: 32+14=46
Exploring Operation: 32-6=26, Resulting Numbers: [14, 26]
Generated Node #0,2,1: 50:[14, 26] Operation: 32-6=26
Exploring Operation: 32-14=18, Resulting Numbers: [6, 18]
Generated Node #0,2,2: 50:[6, 18] Operation: 32-14=18
Moving to Node #0,1,1
Current State: 50:[1, 51], Operations: ['32-31=1', '45+6=51']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[45, 32, 31, 6], Operations: []
Exploring Operation: 32-31=1, Resulting Numbers: [45, 6, 1]
Generated Node #0,1: 50:[45, 6, 1] Operation: 32-31=1
Moving to Node #0,1
Current State: 50:[45, 6, 1], Operations: ['32-31=1']
Exploring Operation: 45+6=51, Resulting Numbers: [1, 51]
Generated Node #0,1,1: 50:[1, 51] Operation: 45+6=51
Moving to Node #0,1,1
Current State: 50:[1, 51], Operations: ['32-31=1', '45+6=51']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 0.985243 | hs_3 | mult_heuristic |
[
68,
80,
40,
98
] | 19 | [
"80/40=2",
"98/2=49",
"68-49=19"
] | Current State: 19:[68, 80, 40, 98], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [68, 98, 2]
Generated Node #2: [68, 98, 2] from Operation: 80/40=2
Current State: 19:[68, 98, 2], Operations: ['80/40=2']
Exploring Operation: 98/2=49, Resulting Numbers: [68, 49]
Generated Node #3: [68, 49] from Operation: 98/2=49
Current State: 19:[68, 49], Operations: ['80/40=2', '98/2=49']
Exploring Operation: 68-49=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[68, 80, 40, 98], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [40, 98, 12]
Generated Node #0,0: 19:[40, 98, 12] Operation: 80-68=12
Exploring Operation: 98-68=30, Resulting Numbers: [80, 40, 30]
Generated Node #0,1: 19:[80, 40, 30] Operation: 98-68=30
Exploring Operation: 98-80=18, Resulting Numbers: [68, 40, 18]
Generated Node #0,2: 19:[68, 40, 18] Operation: 98-80=18
Moving to Node #0,2
Current State: 19:[68, 40, 18], Operations: ['98-80=18']
Exploring Operation: 68-18=50, Resulting Numbers: [40, 50]
Generated Node #0,2,0: 19:[40, 50] Operation: 68-18=50
Exploring Operation: 68-40=28, Resulting Numbers: [18, 28]
Generated Node #0,2,1: 19:[18, 28] Operation: 68-40=28
Exploring Operation: 40-18=22, Resulting Numbers: [68, 22]
Generated Node #0,2,2: 19:[68, 22] Operation: 40-18=22
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 19:[18, 28], Operations: ['98-80=18', '68-40=28']
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 18*28=504, Resulting Numbers: [504]
504,19 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 19:[40, 50], Operations: ['98-80=18', '68-18=50']
Exploring Operation: 40+50=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 40*50=2000, Resulting Numbers: [2000]
2000,19 unequal: No Solution
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 19:[68, 22], Operations: ['98-80=18', '40-18=22']
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 68*22=1496, Resulting Numbers: [1496]
1496,19 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: 19:[80, 40, 30], Operations: ['98-68=30']
Exploring Operation: 80-40=40, Resulting Numbers: [30, 40]
Generated Node #0,1,0: 19:[30, 40] Operation: 80-40=40
Exploring Operation: 80/40=2, Resulting Numbers: [30, 2]
Generated Node #0,1,1: 19:[30, 2] Operation: 80/40=2
Exploring Operation: 80-30=50, Resulting Numbers: [40, 50]
Generated Node #0,1,2: 19:[40, 50] Operation: 80-30=50
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[30, 2], Operations: ['98-68=30', '80/40=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[30, 40], Operations: ['98-68=30', '80-40=40']
Exploring Operation: 30+40=70, Resulting Numbers: [70]
70,19 unequal: No Solution
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 30*40=1200, Resulting Numbers: [1200]
1200,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 19:[40, 50], Operations: ['98-68=30', '80-30=50']
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 40*50=2000, Resulting Numbers: [2000]
2000,19 unequal: No Solution
Exploring Operation: 40+50=90, Resulting Numbers: [90]
90,19 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: 19:[40, 98, 12], Operations: ['80-68=12']
Exploring Operation: 98-12=86, Resulting Numbers: [40, 86]
Generated Node #0,0,0: 19:[40, 86] Operation: 98-12=86
Exploring Operation: 98-40=58, Resulting Numbers: [12, 58]
Generated Node #0,0,1: 19:[12, 58] Operation: 98-40=58
Exploring Operation: 40-12=28, Resulting Numbers: [98, 28]
Generated Node #0,0,2: 19:[98, 28] Operation: 40-12=28
Moving to Node #0,0,1
Current State: 19:[12, 58], Operations: ['80-68=12', '98-40=58']
Exploring Operation: 12+58=70, Resulting Numbers: [70]
70,19 unequal: No Solution
Exploring Operation: 12*58=696, Resulting Numbers: [696]
696,19 unequal: No Solution
Exploring Operation: 58-12=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[40, 86], Operations: ['80-68=12', '98-12=86']
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 40*86=3440, Resulting Numbers: [3440]
3440,19 unequal: No Solution
Exploring Operation: 40+86=126, Resulting Numbers: [126]
126,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[98, 28], Operations: ['80-68=12', '40-12=28']
Exploring Operation: 98-28=70, Resulting Numbers: [70]
70,19 unequal: No Solution
Exploring Operation: 98+28=126, Resulting Numbers: [126]
126,19 unequal: No Solution
Exploring Operation: 98*28=2744, Resulting Numbers: [2744]
2744,19 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
41,
65,
72,
59
] | 69 | [
"59-41=18",
"72/18=4",
"65+4=69"
] | Current State: 69:[41, 65, 72, 59], Operations: []
Exploring Operation: 59-41=18, Resulting Numbers: [65, 72, 18]
Generated Node #2: [65, 72, 18] from Operation: 59-41=18
Current State: 69:[65, 72, 18], Operations: ['59-41=18']
Exploring Operation: 72/18=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 72/18=4
Current State: 69:[65, 4], Operations: ['59-41=18', '72/18=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[41, 65, 72, 59], Operations: []
Exploring Operation: 59-41=18, Resulting Numbers: [65, 72, 18]
Generated Node #0,0: 69:[65, 72, 18] Operation: 59-41=18
Exploring Operation: 65-41=24, Resulting Numbers: [72, 59, 24]
Generated Node #0,1: 69:[72, 59, 24] Operation: 65-41=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[65, 72, 18], Operations: ['59-41=18']
Exploring Operation: 72-65=7, Resulting Numbers: [18, 7]
Generated Node #0,0,0: 69:[18, 7] Operation: 72-65=7
Exploring Operation: 72/18=4, Resulting Numbers: [65, 4]
Generated Node #0,0,1: 69:[65, 4] Operation: 72/18=4
Moving to Node #0,0,1
Current State: 69:[65, 4], Operations: ['59-41=18', '72/18=4']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,69 unequal: No Solution
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[41, 65, 72, 59], Operations: []
Exploring Operation: 59-41=18, Resulting Numbers: [65, 72, 18]
Generated Node #0,0: 69:[65, 72, 18] Operation: 59-41=18
Moving to Node #0,0
Current State: 69:[65, 72, 18], Operations: ['59-41=18']
Exploring Operation: 72/18=4, Resulting Numbers: [65, 4]
Generated Node #0,0,1: 69:[65, 4] Operation: 72/18=4
Moving to Node #0,0,1
Current State: 69:[65, 4], Operations: ['59-41=18', '72/18=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
46,
42,
18,
31
] | 14 | [
"46-18=28",
"31-28=3",
"42/3=14"
] | Current State: 14:[46, 42, 18, 31], Operations: []
Exploring Operation: 46-18=28, Resulting Numbers: [42, 31, 28]
Generated Node #2: [42, 31, 28] from Operation: 46-18=28
Current State: 14:[42, 31, 28], Operations: ['46-18=28']
Exploring Operation: 31-28=3, Resulting Numbers: [42, 3]
Generated Node #3: [42, 3] from Operation: 31-28=3
Current State: 14:[42, 3], Operations: ['46-18=28', '31-28=3']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[46, 42, 18, 31], Operations: []
Exploring Operation: 46-42=4, Resulting Numbers: [18, 31, 4]
Generated Node #0,0: 14:[18, 31, 4] Operation: 46-42=4
Moving to Node #0,0
Current State: 14:[18, 31, 4], Operations: ['46-42=4']
Exploring Operation: 31-18=13, Resulting Numbers: [4, 13]
Generated Node #0,0,0: 14:[4, 13] Operation: 31-18=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[4, 13], Operations: ['46-42=4', '31-18=13']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
43,
30,
39,
67
] | 41 | [
"43-30=13",
"67-39=28",
"13+28=41"
] | Current State: 41:[43, 30, 39, 67], Operations: []
Exploring Operation: 43-30=13, Resulting Numbers: [39, 67, 13]
Generated Node #2: [39, 67, 13] from Operation: 43-30=13
Current State: 41:[39, 67, 13], Operations: ['43-30=13']
Exploring Operation: 67-39=28, Resulting Numbers: [13, 28]
Generated Node #3: [13, 28] from Operation: 67-39=28
Current State: 41:[13, 28], Operations: ['43-30=13', '67-39=28']
Exploring Operation: 13+28=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[43, 30, 39, 67], Operations: []
Exploring Operation: 67-39=28, Resulting Numbers: [43, 30, 28]
Generated Node #0,0: 41:[43, 30, 28] Operation: 67-39=28
Exploring Operation: 67-30=37, Resulting Numbers: [43, 39, 37]
Generated Node #0,1: 41:[43, 39, 37] Operation: 67-30=37
Moving to Node #0,1
Current State: 41:[43, 39, 37], Operations: ['67-30=37']
Exploring Operation: 43-37=6, Resulting Numbers: [39, 6]
Generated Node #0,1,0: 41:[39, 6] Operation: 43-37=6
Exploring Operation: 39+37=76, Resulting Numbers: [43, 76]
Generated Node #0,1,1: 41:[43, 76] Operation: 39+37=76
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[39, 6], Operations: ['67-30=37', '43-37=6']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[43, 76], Operations: ['67-30=37', '39+37=76']
Exploring Operation: 43+76=119, Resulting Numbers: [119]
119,41 unequal: No Solution
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,41 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: 41:[43, 30, 28], Operations: ['67-39=28']
Exploring Operation: 43-28=15, Resulting Numbers: [30, 15]
Generated Node #0,0,0: 41:[30, 15] Operation: 43-28=15
Exploring Operation: 30+28=58, Resulting Numbers: [43, 58]
Generated Node #0,0,1: 41:[43, 58] Operation: 30+28=58
Moving to Node #0,0,1
Current State: 41:[43, 58], Operations: ['67-39=28', '30+28=58']
Exploring Operation: 43+58=101, Resulting Numbers: [101]
101,41 unequal: No Solution
Exploring Operation: 58-43=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[30, 15], Operations: ['67-39=28', '43-28=15']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 30+15=45, Resulting Numbers: [45]
45,41 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
8,
10,
97,
84
] | 71 | [
"10-8=2",
"84*2=168",
"168-97=71"
] | Current State: 71:[8, 10, 97, 84], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [97, 84, 2]
Generated Node #2: [97, 84, 2] from Operation: 10-8=2
Current State: 71:[97, 84, 2], Operations: ['10-8=2']
Exploring Operation: 84*2=168, Resulting Numbers: [97, 168]
Generated Node #3: [97, 168] from Operation: 84*2=168
Current State: 71:[97, 168], Operations: ['10-8=2', '84*2=168']
Exploring Operation: 168-97=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[8, 10, 97, 84], Operations: []
Exploring Operation: 8*10=80, Resulting Numbers: [97, 84, 80]
Generated Node #0,0: 71:[97, 84, 80] Operation: 8*10=80
Moving to Node #0,0
Current State: 71:[97, 84, 80], Operations: ['8*10=80']
Exploring Operation: 97-84=13, Resulting Numbers: [80, 13]
Generated Node #0,0,0: 71:[80, 13] Operation: 97-84=13
Moving to Node #0,0,0
Current State: 71:[80, 13], Operations: ['8*10=80', '97-84=13']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,71 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
36,
15,
90,
30
] | 30 | [
"36-30=6",
"90/6=15",
"15+15=30"
] | Current State: 30:[36, 15, 90, 30], Operations: []
Exploring Operation: 36-30=6, Resulting Numbers: [15, 90, 6]
Generated Node #2: [15, 90, 6] from Operation: 36-30=6
Current State: 30:[15, 90, 6], Operations: ['36-30=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15, 15]
Generated Node #3: [15, 15] from Operation: 90/6=15
Current State: 30:[15, 15], Operations: ['36-30=6', '90/6=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[36, 15, 90, 30], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [36, 30, 6]
Generated Node #0,0: 30:[36, 30, 6] Operation: 90/15=6
Exploring Operation: 90/30=3, Resulting Numbers: [36, 15, 3]
Generated Node #0,1: 30:[36, 15, 3] Operation: 90/30=3
Exploring Operation: 90-36=54, Resulting Numbers: [15, 30, 54]
Generated Node #0,2: 30:[15, 30, 54] Operation: 90-36=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[36, 30, 6], Operations: ['90/15=6']
Exploring Operation: 36/6=6, Resulting Numbers: [30, 6]
Generated Node #0,0,0: 30:[30, 6] Operation: 36/6=6
Exploring Operation: 36-30=6, Resulting Numbers: [6, 6]
Generated Node #0,0,1: 30:[6, 6] Operation: 36-30=6
Exploring Operation: 36-6=30, Resulting Numbers: [30, 30]
Generated Node #0,0,2: 30:[30, 30] Operation: 36-6=30
Moving to Node #0,0,0
Current State: 30:[30, 6], Operations: ['90/15=6', '36/6=6']
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,30 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[6, 6], Operations: ['90/15=6', '36-30=6']
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[30, 30], Operations: ['90/15=6', '36-6=30']
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[36, 15, 3], Operations: ['90/30=3']
Exploring Operation: 36/3=12, Resulting Numbers: [15, 12]
Generated Node #0,1,0: 30:[15, 12] Operation: 36/3=12
Exploring Operation: 36-3=33, Resulting Numbers: [15, 33]
Generated Node #0,1,1: 30:[15, 33] Operation: 36-3=33
Exploring Operation: 36-15=21, Resulting Numbers: [3, 21]
Generated Node #0,1,2: 30:[3, 21] Operation: 36-15=21
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[15, 12], Operations: ['90/30=3', '36/3=12']
Exploring Operation: 15*12=180, Resulting Numbers: [180]
180,30 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 30:[15, 33], Operations: ['90/30=3', '36-3=33']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Exploring Operation: 15*33=495, Resulting Numbers: [495]
495,30 unequal: No Solution
Exploring Operation: 15+33=48, Resulting Numbers: [48]
48,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 30:[3, 21], Operations: ['90/30=3', '36-15=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[15, 30, 54], Operations: ['90-36=54']
Exploring Operation: 54-30=24, Resulting Numbers: [15, 24]
Generated Node #0,2,0: 30:[15, 24] Operation: 54-30=24
Exploring Operation: 30-15=15, Resulting Numbers: [54, 15]
Generated Node #0,2,1: 30:[54, 15] Operation: 30-15=15
Exploring Operation: 54-15=39, Resulting Numbers: [30, 39]
Generated Node #0,2,2: 30:[30, 39] Operation: 54-15=39
Moving to Node #0,2,0
Current State: 30:[15, 24], Operations: ['90-36=54', '54-30=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 15*24=360, Resulting Numbers: [360]
360,30 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[30, 39], Operations: ['90-36=54', '54-15=39']
Exploring Operation: 30*39=1170, Resulting Numbers: [1170]
1170,30 unequal: No Solution
Exploring Operation: 30+39=69, Resulting Numbers: [69]
69,30 unequal: No Solution
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[54, 15], Operations: ['90-36=54', '30-15=15']
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,30 unequal: No Solution
Exploring Operation: 54*15=810, Resulting Numbers: [810]
810,30 unequal: No Solution
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,30 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,
20,
16,
8
] | 53 | [
"36*20=720",
"720/16=45",
"8+45=53"
] | Current State: 53:[36, 20, 16, 8], Operations: []
Exploring Operation: 36*20=720, Resulting Numbers: [16, 8, 720]
Generated Node #2: [16, 8, 720] from Operation: 36*20=720
Current State: 53:[16, 8, 720], Operations: ['36*20=720']
Exploring Operation: 720/16=45, Resulting Numbers: [8, 45]
Generated Node #3: [8, 45] from Operation: 720/16=45
Current State: 53:[8, 45], Operations: ['36*20=720', '720/16=45']
Exploring Operation: 8+45=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[36, 20, 16, 8], Operations: []
Exploring Operation: 36+16=52, Resulting Numbers: [20, 8, 52]
Generated Node #0,0: 53:[20, 8, 52] Operation: 36+16=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[20, 8, 52], Operations: ['36+16=52']
Exploring Operation: 20+8=28, Resulting Numbers: [52, 28]
Generated Node #0,0,0: 53:[52, 28] Operation: 20+8=28
Moving to Node #0,0,0
Current State: 53:[52, 28], Operations: ['36+16=52', '20+8=28']
Exploring Operation: 52+28=80, Resulting Numbers: [80]
80,53 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 |
[
89,
94,
7,
20
] | 18 | [
"94-89=5",
"20-7=13",
"5+13=18"
] | Current State: 18:[89, 94, 7, 20], Operations: []
Exploring Operation: 94-89=5, Resulting Numbers: [7, 20, 5]
Generated Node #2: [7, 20, 5] from Operation: 94-89=5
Current State: 18:[7, 20, 5], Operations: ['94-89=5']
Exploring Operation: 20-7=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 20-7=13
Current State: 18:[5, 13], Operations: ['94-89=5', '20-7=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[89, 94, 7, 20], Operations: []
Exploring Operation: 89-7=82, Resulting Numbers: [94, 20, 82]
Generated Node #0,0: 18:[94, 20, 82] Operation: 89-7=82
Exploring Operation: 94-20=74, Resulting Numbers: [89, 7, 74]
Generated Node #0,1: 18:[89, 7, 74] Operation: 94-20=74
Exploring Operation: 94-89=5, Resulting Numbers: [7, 20, 5]
Generated Node #0,2: 18:[7, 20, 5] Operation: 94-89=5
Exploring Operation: 89-20=69, Resulting Numbers: [94, 7, 69]
Generated Node #0,3: 18:[94, 7, 69] Operation: 89-20=69
Moving to Node #0,2
Current State: 18:[7, 20, 5], Operations: ['94-89=5']
Exploring Operation: 20/5=4, Resulting Numbers: [7, 4]
Generated Node #0,2,0: 18:[7, 4] Operation: 20/5=4
Exploring Operation: 20-5=15, Resulting Numbers: [7, 15]
Generated Node #0,2,1: 18:[7, 15] Operation: 20-5=15
Exploring Operation: 20-7=13, Resulting Numbers: [5, 13]
Generated Node #0,2,2: 18:[5, 13] Operation: 20-7=13
Exploring Operation: 7-5=2, Resulting Numbers: [20, 2]
Generated Node #0,2,3: 18:[20, 2] Operation: 7-5=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[7, 4], Operations: ['94-89=5', '20/5=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,18 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,18 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:[20, 2], Operations: ['94-89=5', '7-5=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[89, 94, 7, 20], Operations: []
Exploring Operation: 94-89=5, Resulting Numbers: [7, 20, 5]
Generated Node #0,2: 18:[7, 20, 5] Operation: 94-89=5
Moving to Node #0,2
Current State: 18:[7, 20, 5], Operations: ['94-89=5']
Exploring Operation: 7-5=2, Resulting Numbers: [20, 2]
Generated Node #0,2,3: 18:[20, 2] Operation: 7-5=2
Moving to Node #0,2,3
Current State: 18:[20, 2], Operations: ['94-89=5', '7-5=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
82,
66,
32,
91
] | 89 | [
"82+66=148",
"91-32=59",
"148-59=89"
] | Current State: 89:[82, 66, 32, 91], Operations: []
Exploring Operation: 82+66=148, Resulting Numbers: [32, 91, 148]
Generated Node #2: [32, 91, 148] from Operation: 82+66=148
Current State: 89:[32, 91, 148], Operations: ['82+66=148']
Exploring Operation: 91-32=59, Resulting Numbers: [148, 59]
Generated Node #3: [148, 59] from Operation: 91-32=59
Current State: 89:[148, 59], Operations: ['82+66=148', '91-32=59']
Exploring Operation: 148-59=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[82, 66, 32, 91], Operations: []
Exploring Operation: 82+32=114, Resulting Numbers: [66, 91, 114]
Generated Node #0,0: 89:[66, 91, 114] Operation: 82+32=114
Exploring Operation: 91-32=59, Resulting Numbers: [82, 66, 59]
Generated Node #0,1: 89:[82, 66, 59] Operation: 91-32=59
Exploring Operation: 66+32=98, Resulting Numbers: [82, 91, 98]
Generated Node #0,2: 89:[82, 91, 98] Operation: 66+32=98
Moving to Node #0,2
Current State: 89:[82, 91, 98], Operations: ['66+32=98']
Exploring Operation: 98-82=16, Resulting Numbers: [91, 16]
Generated Node #0,2,0: 89:[91, 16] Operation: 98-82=16
Exploring Operation: 91-82=9, Resulting Numbers: [98, 9]
Generated Node #0,2,1: 89:[98, 9] Operation: 91-82=9
Exploring Operation: 98-91=7, Resulting Numbers: [82, 7]
Generated Node #0,2,2: 89:[82, 7] Operation: 98-91=7
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 89:[91, 16], Operations: ['66+32=98', '98-82=16']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,89 unequal: No Solution
Exploring Operation: 91*16=1456, Resulting Numbers: [1456]
1456,89 unequal: No Solution
Exploring Operation: 91+16=107, Resulting Numbers: [107]
107,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 89:[98, 9], Operations: ['66+32=98', '91-82=9']
Exploring Operation: 98+9=107, Resulting Numbers: [107]
107,89 unequal: No Solution
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[82, 66, 32, 91], Operations: []
Exploring Operation: 66+32=98, Resulting Numbers: [82, 91, 98]
Generated Node #0,2: 89:[82, 91, 98] Operation: 66+32=98
Moving to Node #0,2
Current State: 89:[82, 91, 98], Operations: ['66+32=98']
Exploring Operation: 91-82=9, Resulting Numbers: [98, 9]
Generated Node #0,2,1: 89:[98, 9] Operation: 91-82=9
Moving to Node #0,2,1
Current State: 89:[98, 9], Operations: ['66+32=98', '91-82=9']
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
77,
6,
12,
17
] | 30 | [
"77-17=60",
"12/6=2",
"60/2=30"
] | Current State: 30:[77, 6, 12, 17], Operations: []
Exploring Operation: 77-17=60, Resulting Numbers: [6, 12, 60]
Generated Node #2: [6, 12, 60] from Operation: 77-17=60
Current State: 30:[6, 12, 60], Operations: ['77-17=60']
Exploring Operation: 12/6=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 12/6=2
Current State: 30:[60, 2], Operations: ['77-17=60', '12/6=2']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[77, 6, 12, 17], Operations: []
Exploring Operation: 77-12=65, Resulting Numbers: [6, 17, 65]
Generated Node #0,0: 30:[6, 17, 65] Operation: 77-12=65
Exploring Operation: 77-6=71, Resulting Numbers: [12, 17, 71]
Generated Node #0,1: 30:[12, 17, 71] Operation: 77-6=71
Exploring Operation: 77-17=60, Resulting Numbers: [6, 12, 60]
Generated Node #0,2: 30:[6, 12, 60] Operation: 77-17=60
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[6, 12, 60], Operations: ['77-17=60']
Exploring Operation: 60/12=5, Resulting Numbers: [6, 5]
Generated Node #0,2,0: 30:[6, 5] Operation: 60/12=5
Exploring Operation: 60-12=48, Resulting Numbers: [6, 48]
Generated Node #0,2,1: 30:[6, 48] Operation: 60-12=48
Exploring Operation: 60/6=10, Resulting Numbers: [12, 10]
Generated Node #0,2,2: 30:[12, 10] Operation: 60/6=10
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 30:[6, 5], Operations: ['77-17=60', '60/12=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[77, 6, 12, 17], Operations: []
Exploring Operation: 77-17=60, Resulting Numbers: [6, 12, 60]
Generated Node #0,2: 30:[6, 12, 60] Operation: 77-17=60
Moving to Node #0,2
Current State: 30:[6, 12, 60], Operations: ['77-17=60']
Exploring Operation: 60/12=5, Resulting Numbers: [6, 5]
Generated Node #0,2,0: 30:[6, 5] Operation: 60/12=5
Moving to Node #0,2,0
Current State: 30:[6, 5], Operations: ['77-17=60', '60/12=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
12,
56,
34,
16
] | 72 | [
"56-34=22",
"22-16=6",
"12*6=72"
] | Current State: 72:[12, 56, 34, 16], Operations: []
Exploring Operation: 56-34=22, Resulting Numbers: [12, 16, 22]
Generated Node #2: [12, 16, 22] from Operation: 56-34=22
Current State: 72:[12, 16, 22], Operations: ['56-34=22']
Exploring Operation: 22-16=6, Resulting Numbers: [12, 6]
Generated Node #3: [12, 6] from Operation: 22-16=6
Current State: 72:[12, 6], Operations: ['56-34=22', '22-16=6']
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[12, 56, 34, 16], Operations: []
Exploring Operation: 56+16=72, Resulting Numbers: [12, 34, 72]
Generated Node #0,0: 72:[12, 34, 72] Operation: 56+16=72
Exploring Operation: 56-34=22, Resulting Numbers: [12, 16, 22]
Generated Node #0,1: 72:[12, 16, 22] Operation: 56-34=22
Moving to Node #0,0
Current State: 72:[12, 34, 72], Operations: ['56+16=72']
Exploring Operation: 72/12=6, Resulting Numbers: [34, 6]
Generated Node #0,0,0: 72:[34, 6] Operation: 72/12=6
Exploring Operation: 34-12=22, Resulting Numbers: [72, 22]
Generated Node #0,0,1: 72:[72, 22] Operation: 34-12=22
Moving to Node #0,1
Current State: 72:[12, 16, 22], Operations: ['56-34=22']
Exploring Operation: 16-12=4, Resulting Numbers: [22, 4]
Generated Node #0,1,0: 72:[22, 4] Operation: 16-12=4
Exploring Operation: 22-16=6, Resulting Numbers: [12, 6]
Generated Node #0,1,1: 72:[12, 6] Operation: 22-16=6
Moving to Node #0,1,1
Current State: 72:[12, 6], Operations: ['56-34=22', '22-16=6']
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[12, 56, 34, 16], Operations: []
Exploring Operation: 56-34=22, Resulting Numbers: [12, 16, 22]
Generated Node #0,1: 72:[12, 16, 22] Operation: 56-34=22
Moving to Node #0,1
Current State: 72:[12, 16, 22], Operations: ['56-34=22']
Exploring Operation: 22-16=6, Resulting Numbers: [12, 6]
Generated Node #0,1,1: 72:[12, 6] Operation: 22-16=6
Moving to Node #0,1,1
Current State: 72:[12, 6], Operations: ['56-34=22', '22-16=6']
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
22,
13,
29,
14
] | 48 | [
"22*29=638",
"638-14=624",
"624/13=48"
] | Current State: 48:[22, 13, 29, 14], Operations: []
Exploring Operation: 22*29=638, Resulting Numbers: [13, 14, 638]
Generated Node #2: [13, 14, 638] from Operation: 22*29=638
Current State: 48:[13, 14, 638], Operations: ['22*29=638']
Exploring Operation: 638-14=624, Resulting Numbers: [13, 624]
Generated Node #3: [13, 624] from Operation: 638-14=624
Current State: 48:[13, 624], Operations: ['22*29=638', '638-14=624']
Exploring Operation: 624/13=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[22, 13, 29, 14], Operations: []
Exploring Operation: 29-22=7, Resulting Numbers: [13, 14, 7]
Generated Node #0,0: 48:[13, 14, 7] Operation: 29-22=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[13, 14, 7], Operations: ['29-22=7']
Exploring Operation: 14/7=2, Resulting Numbers: [13, 2]
Generated Node #0,0,0: 48:[13, 2] Operation: 14/7=2
Moving to Node #0,0,0
Current State: 48:[13, 2], Operations: ['29-22=7', '14/7=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,48 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 |
[
12,
3,
2,
25
] | 35 | [
"12+3=15",
"2*25=50",
"50-15=35"
] | Current State: 35:[12, 3, 2, 25], Operations: []
Exploring Operation: 12+3=15, Resulting Numbers: [2, 25, 15]
Generated Node #2: [2, 25, 15] from Operation: 12+3=15
Current State: 35:[2, 25, 15], Operations: ['12+3=15']
Exploring Operation: 2*25=50, Resulting Numbers: [15, 50]
Generated Node #3: [15, 50] from Operation: 2*25=50
Current State: 35:[15, 50], Operations: ['12+3=15', '2*25=50']
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[12, 3, 2, 25], Operations: []
Exploring Operation: 12*3=36, Resulting Numbers: [2, 25, 36]
Generated Node #0,0: 35:[2, 25, 36] Operation: 12*3=36
Exploring Operation: 12+25=37, Resulting Numbers: [3, 2, 37]
Generated Node #0,1: 35:[3, 2, 37] Operation: 12+25=37
Exploring Operation: 25-12=13, Resulting Numbers: [3, 2, 13]
Generated Node #0,2: 35:[3, 2, 13] Operation: 25-12=13
Exploring Operation: 12/2=6, Resulting Numbers: [3, 25, 6]
Generated Node #0,3: 35:[3, 25, 6] Operation: 12/2=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[3, 2, 37], Operations: ['12+25=37']
Exploring Operation: 3+2=5, Resulting Numbers: [37, 5]
Generated Node #0,1,0: 35:[37, 5] Operation: 3+2=5
Exploring Operation: 37-3=34, Resulting Numbers: [2, 34]
Generated Node #0,1,1: 35:[2, 34] Operation: 37-3=34
Exploring Operation: 37-2=35, Resulting Numbers: [3, 35]
Generated Node #0,1,2: 35:[3, 35] Operation: 37-2=35
Exploring Operation: 3*2=6, Resulting Numbers: [37, 6]
Generated Node #0,1,3: 35:[37, 6] Operation: 3*2=6
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 35:[37, 5], Operations: ['12+25=37', '3+2=5']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Exploring Operation: 37*5=185, Resulting Numbers: [185]
185,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 35:[3, 35], Operations: ['12+25=37', '37-2=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 35:[37, 6], Operations: ['12+25=37', '3*2=6']
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,35 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,35 unequal: No Solution
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 35:[2, 34], Operations: ['12+25=37', '37-3=34']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[3, 2, 13], Operations: ['25-12=13']
Exploring Operation: 3+2=5, Resulting Numbers: [13, 5]
Generated Node #0,2,0: 35:[13, 5] Operation: 3+2=5
Exploring Operation: 3*2=6, Resulting Numbers: [13, 6]
Generated Node #0,2,1: 35:[13, 6] Operation: 3*2=6
Exploring Operation: 13-3=10, Resulting Numbers: [2, 10]
Generated Node #0,2,2: 35:[2, 10] Operation: 13-3=10
Exploring Operation: 13-2=11, Resulting Numbers: [3, 11]
Generated Node #0,2,3: 35:[3, 11] Operation: 13-2=11
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 35:[13, 5], Operations: ['25-12=13', '3+2=5']
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,35 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 35:[2, 10], Operations: ['25-12=13', '13-3=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,35 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 35:[3, 11], Operations: ['25-12=13', '13-2=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,35 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 35:[13, 6], Operations: ['25-12=13', '3*2=6']
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,35 unequal: No Solution
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,35 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 35:[3, 25, 6], Operations: ['12/2=6']
Exploring Operation: 25+6=31, Resulting Numbers: [3, 31]
Generated Node #0,3,0: 35:[3, 31] Operation: 25+6=31
Exploring Operation: 6-3=3, Resulting Numbers: [25, 3]
Generated Node #0,3,1: 35:[25, 3] Operation: 6-3=3
Exploring Operation: 3+6=9, Resulting Numbers: [25, 9]
Generated Node #0,3,2: 35:[25, 9] Operation: 3+6=9
Exploring Operation: 3+25=28, Resulting Numbers: [6, 28]
Generated Node #0,3,3: 35:[6, 28] Operation: 3+25=28
Moving to Node #0,3,0
Current State: 35:[3, 31], Operations: ['12/2=6', '25+6=31']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,35 unequal: No Solution
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Moving to Node #0,3,3
Current State: 35:[6, 28], Operations: ['12/2=6', '3+25=28']
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,35 unequal: No Solution
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,35 unequal: No Solution
Moving to Node #0,3,2
Current State: 35:[25, 9], Operations: ['12/2=6', '3+6=9']
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Exploring Operation: 25*9=225, Resulting Numbers: [225]
225,35 unequal: No Solution
Moving to Node #0,3,1
Current State: 35:[25, 3], Operations: ['12/2=6', '6-3=3']
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,35 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[2, 25, 36], Operations: ['12*3=36']
Exploring Operation: 36-25=11, Resulting Numbers: [2, 11]
Generated Node #0,0,0: 35:[2, 11] Operation: 36-25=11
Exploring Operation: 25-2=23, Resulting Numbers: [36, 23]
Generated Node #0,0,1: 35:[36, 23] Operation: 25-2=23
Exploring Operation: 36-2=34, Resulting Numbers: [25, 34]
Generated Node #0,0,2: 35:[25, 34] Operation: 36-2=34
Exploring Operation: 2+25=27, Resulting Numbers: [36, 27]
Generated Node #0,0,3: 35:[36, 27] Operation: 2+25=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[2, 11], Operations: ['12*3=36', '36-25=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,35 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,35 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 35:[36, 27], Operations: ['12*3=36', '2+25=27']
Exploring Operation: 36*27=972, Resulting Numbers: [972]
972,35 unequal: No Solution
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,35 unequal: No Solution
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 35:[25, 34], Operations: ['12*3=36', '36-2=34']
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,35 unequal: No Solution
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,35 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[36, 23], Operations: ['12*3=36', '25-2=23']
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,35 unequal: No Solution
Exploring Operation: 36*23=828, Resulting Numbers: [828]
828,35 unequal: No Solution
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
69,
55,
47,
54
] | 98 | [
"69-55=14",
"54-47=7",
"14*7=98"
] | Current State: 98:[69, 55, 47, 54], Operations: []
Exploring Operation: 69-55=14, Resulting Numbers: [47, 54, 14]
Generated Node #2: [47, 54, 14] from Operation: 69-55=14
Current State: 98:[47, 54, 14], Operations: ['69-55=14']
Exploring Operation: 54-47=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 54-47=7
Current State: 98:[14, 7], Operations: ['69-55=14', '54-47=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[69, 55, 47, 54], Operations: []
Exploring Operation: 69-55=14, Resulting Numbers: [47, 54, 14]
Generated Node #0,0: 98:[47, 54, 14] Operation: 69-55=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[47, 54, 14], Operations: ['69-55=14']
Exploring Operation: 54-47=7, Resulting Numbers: [14, 7]
Generated Node #0,0,0: 98:[14, 7] Operation: 54-47=7
Moving to Node #0,0,0
Current State: 98:[14, 7], Operations: ['69-55=14', '54-47=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[69, 55, 47, 54], Operations: []
Exploring Operation: 69-55=14, Resulting Numbers: [47, 54, 14]
Generated Node #0,0: 98:[47, 54, 14] Operation: 69-55=14
Moving to Node #0,0
Current State: 98:[47, 54, 14], Operations: ['69-55=14']
Exploring Operation: 54-47=7, Resulting Numbers: [14, 7]
Generated Node #0,0,0: 98:[14, 7] Operation: 54-47=7
Moving to Node #0,0,0
Current State: 98:[14, 7], Operations: ['69-55=14', '54-47=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
21,
81,
28,
87
] | 43 | [
"21+81=102",
"87-28=59",
"102-59=43"
] | Current State: 43:[21, 81, 28, 87], Operations: []
Exploring Operation: 21+81=102, Resulting Numbers: [28, 87, 102]
Generated Node #2: [28, 87, 102] from Operation: 21+81=102
Current State: 43:[28, 87, 102], Operations: ['21+81=102']
Exploring Operation: 87-28=59, Resulting Numbers: [102, 59]
Generated Node #3: [102, 59] from Operation: 87-28=59
Current State: 43:[102, 59], Operations: ['21+81=102', '87-28=59']
Exploring Operation: 102-59=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[21, 81, 28, 87], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [21, 28, 6]
Generated Node #0,0: 43:[21, 28, 6] Operation: 87-81=6
Exploring Operation: 81-28=53, Resulting Numbers: [21, 87, 53]
Generated Node #0,1: 43:[21, 87, 53] Operation: 81-28=53
Exploring Operation: 87-21=66, Resulting Numbers: [81, 28, 66]
Generated Node #0,2: 43:[81, 28, 66] Operation: 87-21=66
Exploring Operation: 87-28=59, Resulting Numbers: [21, 81, 59]
Generated Node #0,3: 43:[21, 81, 59] Operation: 87-28=59
Exploring Operation: 81-21=60, Resulting Numbers: [28, 87, 60]
Generated Node #0,4: 43:[28, 87, 60] Operation: 81-21=60
Moving to Node #0,0
Current State: 43:[21, 28, 6], Operations: ['87-81=6']
Exploring Operation: 28+6=34, Resulting Numbers: [21, 34]
Generated Node #0,0,0: 43:[21, 34] Operation: 28+6=34
Exploring Operation: 21-6=15, Resulting Numbers: [28, 15]
Generated Node #0,0,1: 43:[28, 15] Operation: 21-6=15
Exploring Operation: 28-6=22, Resulting Numbers: [21, 22]
Generated Node #0,0,2: 43:[21, 22] Operation: 28-6=22
Exploring Operation: 21+28=49, Resulting Numbers: [6, 49]
Generated Node #0,0,3: 43:[6, 49] Operation: 21+28=49
Exploring Operation: 21+6=27, Resulting Numbers: [28, 27]
Generated Node #0,0,4: 43:[28, 27] Operation: 21+6=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[21, 34], Operations: ['87-81=6', '28+6=34']
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,43 unequal: No Solution
Exploring Operation: 21+34=55, Resulting Numbers: [55]
55,43 unequal: No Solution
Exploring Operation: 21*34=714, Resulting Numbers: [714]
714,43 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 #0,0,4
Current State: 43:[28, 27], Operations: ['87-81=6', '21+6=27']
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Exploring Operation: 28+27=55, Resulting Numbers: [55]
55,43 unequal: No Solution
Exploring Operation: 28*27=756, Resulting Numbers: [756]
756,43 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:[28, 15], Operations: ['87-81=6', '21-6=15']
Exploring Operation: 28*15=420, Resulting Numbers: [420]
420,43 unequal: No Solution
Exploring Operation: 28+15=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[21, 81, 28, 87], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [21, 28, 6]
Generated Node #0,0: 43:[21, 28, 6] Operation: 87-81=6
Moving to Node #0,0
Current State: 43:[21, 28, 6], Operations: ['87-81=6']
Exploring Operation: 21-6=15, Resulting Numbers: [28, 15]
Generated Node #0,0,1: 43:[28, 15] Operation: 21-6=15
Moving to Node #0,0,1
Current State: 43:[28, 15], Operations: ['87-81=6', '21-6=15']
Exploring Operation: 28+15=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
1,
30,
52,
1
] | 44 | [
"1+1=2",
"52-30=22",
"2*22=44"
] | Current State: 44:[1, 30, 52, 1], Operations: []
Exploring Operation: 1+1=2, Resulting Numbers: [30, 52, 2]
Generated Node #2: [30, 52, 2] from Operation: 1+1=2
Current State: 44:[30, 52, 2], Operations: ['1+1=2']
Exploring Operation: 52-30=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 52-30=22
Current State: 44:[2, 22], Operations: ['1+1=2', '52-30=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[1, 30, 52, 1], Operations: []
Exploring Operation: 52-30=22, Resulting Numbers: [1, 1, 22]
Generated Node #0,0: 44:[1, 1, 22] Operation: 52-30=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[1, 1, 22], Operations: ['52-30=22']
Exploring Operation: 1+1=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 44:[22, 2] Operation: 1+1=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[22, 2], Operations: ['52-30=22', '1+1=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[1, 30, 52, 1], Operations: []
Exploring Operation: 52-30=22, Resulting Numbers: [1, 1, 22]
Generated Node #0,0: 44:[1, 1, 22] Operation: 52-30=22
Moving to Node #0,0
Current State: 44:[1, 1, 22], Operations: ['52-30=22']
Exploring Operation: 1+1=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 44:[22, 2] Operation: 1+1=2
Moving to Node #0,0,0
Current State: 44:[22, 2], Operations: ['52-30=22', '1+1=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
16,
48,
63,
15
] | 80 | [
"48-16=32",
"63-15=48",
"32+48=80"
] | Current State: 80:[16, 48, 63, 15], Operations: []
Exploring Operation: 48-16=32, Resulting Numbers: [63, 15, 32]
Generated Node #2: [63, 15, 32] from Operation: 48-16=32
Current State: 80:[63, 15, 32], Operations: ['48-16=32']
Exploring Operation: 63-15=48, Resulting Numbers: [32, 48]
Generated Node #3: [32, 48] from Operation: 63-15=48
Current State: 80:[32, 48], Operations: ['48-16=32', '63-15=48']
Exploring Operation: 32+48=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[16, 48, 63, 15], Operations: []
Exploring Operation: 16+63=79, Resulting Numbers: [48, 15, 79]
Generated Node #0,0: 80:[48, 15, 79] Operation: 16+63=79
Exploring Operation: 63+15=78, Resulting Numbers: [16, 48, 78]
Generated Node #0,1: 80:[16, 48, 78] Operation: 63+15=78
Exploring Operation: 63-48=15, Resulting Numbers: [16, 15, 15]
Generated Node #0,2: 80:[16, 15, 15] Operation: 63-48=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[16, 15, 15], Operations: ['63-48=15']
Exploring Operation: 16-15=1, Resulting Numbers: [15, 1]
Generated Node #0,2,0: 80:[15, 1] Operation: 16-15=1
Exploring Operation: 15/15=1, Resulting Numbers: [16, 1]
Generated Node #0,2,1: 80:[16, 1] Operation: 15/15=1
Exploring Operation: 16-15=1, Resulting Numbers: [15, 1]
Generated Node #0,2,2: 80:[15, 1] Operation: 16-15=1
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 80:[16, 1], Operations: ['63-48=15', '15/15=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,80 unequal: No Solution
No 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: 80:[15, 1], Operations: ['63-48=15', '16-15=1']
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,80 unequal: No Solution
No 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: 80:[15, 1], Operations: ['63-48=15', '16-15=1']
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,80 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: 80:[48, 15, 79], Operations: ['16+63=79']
Exploring Operation: 48+15=63, Resulting Numbers: [79, 63]
Generated Node #0,0,0: 80:[79, 63] Operation: 48+15=63
Exploring Operation: 79-48=31, Resulting Numbers: [15, 31]
Generated Node #0,0,1: 80:[15, 31] Operation: 79-48=31
Exploring Operation: 48-15=33, Resulting Numbers: [79, 33]
Generated Node #0,0,2: 80:[79, 33] Operation: 48-15=33
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 80:[79, 33], Operations: ['16+63=79', '48-15=33']
Exploring Operation: 79+33=112, Resulting Numbers: [112]
112,80 unequal: No Solution
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 79*33=2607, Resulting Numbers: [2607]
2607,80 unequal: No Solution
No 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: 80:[15, 31], Operations: ['16+63=79', '79-48=31']
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 15*31=465, Resulting Numbers: [465]
465,80 unequal: No Solution
No 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: 80:[79, 63], Operations: ['16+63=79', '48+15=63']
Exploring Operation: 79+63=142, Resulting Numbers: [142]
142,80 unequal: No Solution
Exploring Operation: 79-63=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 79*63=4977, Resulting Numbers: [4977]
4977,80 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: 80:[16, 48, 78], Operations: ['63+15=78']
Exploring Operation: 48/16=3, Resulting Numbers: [78, 3]
Generated Node #0,1,0: 80:[78, 3] Operation: 48/16=3
Exploring Operation: 78-48=30, Resulting Numbers: [16, 30]
Generated Node #0,1,1: 80:[16, 30] Operation: 78-48=30
Exploring Operation: 48-16=32, Resulting Numbers: [78, 32]
Generated Node #0,1,2: 80:[78, 32] Operation: 48-16=32
Moving to Node #0,1,0
Current State: 80:[78, 3], Operations: ['63+15=78', '48/16=3']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[16, 30], Operations: ['63+15=78', '78-48=30']
Exploring Operation: 16*30=480, Resulting Numbers: [480]
480,80 unequal: No Solution
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[78, 32], Operations: ['63+15=78', '48-16=32']
Exploring Operation: 78*32=2496, Resulting Numbers: [2496]
2496,80 unequal: No Solution
Exploring Operation: 78+32=110, Resulting Numbers: [110]
110,80 unequal: No Solution
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,80 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 |
[
35,
37,
44,
92
] | 96 | [
"37-35=2",
"92-44=48",
"2*48=96"
] | Current State: 96:[35, 37, 44, 92], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [44, 92, 2]
Generated Node #2: [44, 92, 2] from Operation: 37-35=2
Current State: 96:[44, 92, 2], Operations: ['37-35=2']
Exploring Operation: 92-44=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 92-44=48
Current State: 96:[2, 48], Operations: ['37-35=2', '92-44=48']
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[35, 37, 44, 92], Operations: []
Exploring Operation: 44-37=7, Resulting Numbers: [35, 92, 7]
Generated Node #0,0: 96:[35, 92, 7] Operation: 44-37=7
Exploring Operation: 37-35=2, Resulting Numbers: [44, 92, 2]
Generated Node #0,1: 96:[44, 92, 2] Operation: 37-35=2
Exploring Operation: 92-44=48, Resulting Numbers: [35, 37, 48]
Generated Node #0,2: 96:[35, 37, 48] Operation: 92-44=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[35, 92, 7], Operations: ['44-37=7']
Exploring Operation: 92+7=99, Resulting Numbers: [35, 99]
Generated Node #0,0,0: 96:[35, 99] Operation: 92+7=99
Exploring Operation: 35-7=28, Resulting Numbers: [92, 28]
Generated Node #0,0,1: 96:[92, 28] Operation: 35-7=28
Exploring Operation: 35/7=5, Resulting Numbers: [92, 5]
Generated Node #0,0,2: 96:[92, 5] Operation: 35/7=5
Moving to Node #0,0,2
Current State: 96:[92, 5], Operations: ['44-37=7', '35/7=5']
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,96 unequal: No Solution
Exploring Operation: 92*5=460, Resulting Numbers: [460]
460,96 unequal: No Solution
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[35, 99], Operations: ['44-37=7', '92+7=99']
Exploring Operation: 35+99=134, Resulting Numbers: [134]
134,96 unequal: No Solution
Exploring Operation: 35*99=3465, Resulting Numbers: [3465]
3465,96 unequal: No Solution
Exploring Operation: 99-35=64, Resulting Numbers: [64]
64,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[92, 28], Operations: ['44-37=7', '35-7=28']
Exploring Operation: 92*28=2576, Resulting Numbers: [2576]
2576,96 unequal: No Solution
Exploring Operation: 92-28=64, Resulting Numbers: [64]
64,96 unequal: No Solution
Exploring Operation: 92+28=120, Resulting Numbers: [120]
120,96 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 #0,1
Current State: 96:[44, 92, 2], Operations: ['37-35=2']
Exploring Operation: 92-44=48, Resulting Numbers: [2, 48]
Generated Node #0,1,0: 96:[2, 48] Operation: 92-44=48
Exploring Operation: 44+2=46, Resulting Numbers: [92, 46]
Generated Node #0,1,1: 96:[92, 46] Operation: 44+2=46
Exploring Operation: 44/2=22, Resulting Numbers: [92, 22]
Generated Node #0,1,2: 96:[92, 22] Operation: 44/2=22
Moving to Node #0,1,0
Current State: 96:[2, 48], Operations: ['37-35=2', '92-44=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[35, 37, 44, 92], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [44, 92, 2]
Generated Node #0,1: 96:[44, 92, 2] Operation: 37-35=2
Moving to Node #0,1
Current State: 96:[44, 92, 2], Operations: ['37-35=2']
Exploring Operation: 92-44=48, Resulting Numbers: [2, 48]
Generated Node #0,1,0: 96:[2, 48] Operation: 92-44=48
Moving to Node #0,1,0
Current State: 96:[2, 48], Operations: ['37-35=2', '92-44=48']
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_3 | mult_heuristic |
[
56,
17,
7,
5
] | 61 | [
"56+17=73",
"7+5=12",
"73-12=61"
] | Current State: 61:[56, 17, 7, 5], Operations: []
Exploring Operation: 56+17=73, Resulting Numbers: [7, 5, 73]
Generated Node #2: [7, 5, 73] from Operation: 56+17=73
Current State: 61:[7, 5, 73], Operations: ['56+17=73']
Exploring Operation: 7+5=12, Resulting Numbers: [73, 12]
Generated Node #3: [73, 12] from Operation: 7+5=12
Current State: 61:[73, 12], Operations: ['56+17=73', '7+5=12']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[56, 17, 7, 5], Operations: []
Exploring Operation: 7*5=35, Resulting Numbers: [56, 17, 35]
Generated Node #0,0: 61:[56, 17, 35] Operation: 7*5=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[56, 17, 35], Operations: ['7*5=35']
Exploring Operation: 17+35=52, Resulting Numbers: [56, 52]
Generated Node #0,0,0: 61:[56, 52] Operation: 17+35=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[56, 52], Operations: ['7*5=35', '17+35=52']
Exploring Operation: 56+52=108, Resulting Numbers: [108]
108,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
88,
50,
68,
20
] | 10 | [
"88-50=38",
"68-20=48",
"48-38=10"
] | Current State: 10:[88, 50, 68, 20], Operations: []
Exploring Operation: 88-50=38, Resulting Numbers: [68, 20, 38]
Generated Node #2: [68, 20, 38] from Operation: 88-50=38
Current State: 10:[68, 20, 38], Operations: ['88-50=38']
Exploring Operation: 68-20=48, Resulting Numbers: [38, 48]
Generated Node #3: [38, 48] from Operation: 68-20=48
Current State: 10:[38, 48], Operations: ['88-50=38', '68-20=48']
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[88, 50, 68, 20], Operations: []
Exploring Operation: 88-68=20, Resulting Numbers: [50, 20, 20]
Generated Node #0,0: 10:[50, 20, 20] Operation: 88-68=20
Exploring Operation: 68-50=18, Resulting Numbers: [88, 20, 18]
Generated Node #0,1: 10:[88, 20, 18] Operation: 68-50=18
Exploring Operation: 88-20=68, Resulting Numbers: [50, 68, 68]
Generated Node #0,2: 10:[50, 68, 68] Operation: 88-20=68
Exploring Operation: 88-50=38, Resulting Numbers: [68, 20, 38]
Generated Node #0,3: 10:[68, 20, 38] Operation: 88-50=38
Exploring Operation: 50-20=30, Resulting Numbers: [88, 68, 30]
Generated Node #0,4: 10:[88, 68, 30] Operation: 50-20=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[50, 20, 20], Operations: ['88-68=20']
Exploring Operation: 20/20=1, Resulting Numbers: [50, 1]
Generated Node #0,0,0: 10:[50, 1] Operation: 20/20=1
Exploring Operation: 20-20=0, Resulting Numbers: [50, 0]
Generated Node #0,0,1: 10:[50, 0] Operation: 20-20=0
Exploring Operation: 50-20=30, Resulting Numbers: [20, 30]
Generated Node #0,0,2: 10:[20, 30] Operation: 50-20=30
Exploring Operation: 50-20=30, Resulting Numbers: [20, 30]
Generated Node #0,0,3: 10:[20, 30] Operation: 50-20=30
Exploring Operation: 50+20=70, Resulting Numbers: [20, 70]
Generated Node #0,0,4: 10:[20, 70] Operation: 50+20=70
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 10:[20, 30], Operations: ['88-68=20', '50-20=30']
Exploring Operation: 20*30=600, Resulting Numbers: [600]
600,10 unequal: No Solution
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,10 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[88, 50, 68, 20], Operations: []
Exploring Operation: 88-68=20, Resulting Numbers: [50, 20, 20]
Generated Node #0,0: 10:[50, 20, 20] Operation: 88-68=20
Moving to Node #0,0
Current State: 10:[50, 20, 20], Operations: ['88-68=20']
Exploring Operation: 50-20=30, Resulting Numbers: [20, 30]
Generated Node #0,0,2: 10:[20, 30] Operation: 50-20=30
Moving to Node #0,0,2
Current State: 10:[20, 30], Operations: ['88-68=20', '50-20=30']
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
3,
96,
54,
22
] | 61 | [
"96-3=93",
"54-22=32",
"93-32=61"
] | Current State: 61:[3, 96, 54, 22], Operations: []
Exploring Operation: 96-3=93, Resulting Numbers: [54, 22, 93]
Generated Node #2: [54, 22, 93] from Operation: 96-3=93
Current State: 61:[54, 22, 93], Operations: ['96-3=93']
Exploring Operation: 54-22=32, Resulting Numbers: [93, 32]
Generated Node #3: [93, 32] from Operation: 54-22=32
Current State: 61:[93, 32], Operations: ['96-3=93', '54-22=32']
Exploring Operation: 93-32=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[3, 96, 54, 22], Operations: []
Exploring Operation: 3*22=66, Resulting Numbers: [96, 54, 66]
Generated Node #0,0: 61:[96, 54, 66] Operation: 3*22=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[96, 54, 66], Operations: ['3*22=66']
Exploring Operation: 96-54=42, Resulting Numbers: [66, 42]
Generated Node #0,0,0: 61:[66, 42] Operation: 96-54=42
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[66, 42], Operations: ['3*22=66', '96-54=42']
Exploring Operation: 66-42=24, Resulting Numbers: [24]
24,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
99,
36,
69,
8
] | 74 | [
"99+36=135",
"69-8=61",
"135-61=74"
] | Current State: 74:[99, 36, 69, 8], Operations: []
Exploring Operation: 99+36=135, Resulting Numbers: [69, 8, 135]
Generated Node #2: [69, 8, 135] from Operation: 99+36=135
Current State: 74:[69, 8, 135], Operations: ['99+36=135']
Exploring Operation: 69-8=61, Resulting Numbers: [135, 61]
Generated Node #3: [135, 61] from Operation: 69-8=61
Current State: 74:[135, 61], Operations: ['99+36=135', '69-8=61']
Exploring Operation: 135-61=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[99, 36, 69, 8], Operations: []
Exploring Operation: 69+8=77, Resulting Numbers: [99, 36, 77]
Generated Node #0,0: 74:[99, 36, 77] Operation: 69+8=77
Exploring Operation: 99-36=63, Resulting Numbers: [69, 8, 63]
Generated Node #0,1: 74:[69, 8, 63] Operation: 99-36=63
Exploring Operation: 99-8=91, Resulting Numbers: [36, 69, 91]
Generated Node #0,2: 74:[36, 69, 91] Operation: 99-8=91
Exploring Operation: 99-69=30, Resulting Numbers: [36, 8, 30]
Generated Node #0,3: 74:[36, 8, 30] Operation: 99-69=30
Moving to Node #0,3
Current State: 74:[36, 8, 30], Operations: ['99-69=30']
Exploring Operation: 8+30=38, Resulting Numbers: [36, 38]
Generated Node #0,3,0: 74:[36, 38] Operation: 8+30=38
Exploring Operation: 36+8=44, Resulting Numbers: [30, 44]
Generated Node #0,3,1: 74:[30, 44] Operation: 36+8=44
Exploring Operation: 36+30=66, Resulting Numbers: [8, 66]
Generated Node #0,3,2: 74:[8, 66] Operation: 36+30=66
Exploring Operation: 36-30=6, Resulting Numbers: [8, 6]
Generated Node #0,3,3: 74:[8, 6] Operation: 36-30=6
Moving to Node #0,1
Current State: 74:[69, 8, 63], Operations: ['99-36=63']
Exploring Operation: 63-8=55, Resulting Numbers: [69, 55]
Generated Node #0,1,0: 74:[69, 55] Operation: 63-8=55
Exploring Operation: 8+63=71, Resulting Numbers: [69, 71]
Generated Node #0,1,1: 74:[69, 71] Operation: 8+63=71
Exploring Operation: 69-63=6, Resulting Numbers: [8, 6]
Generated Node #0,1,2: 74:[8, 6] Operation: 69-63=6
Exploring Operation: 69+8=77, Resulting Numbers: [63, 77]
Generated Node #0,1,3: 74:[63, 77] Operation: 69+8=77
Moving to Node #0,2
Current State: 74:[36, 69, 91], Operations: ['99-8=91']
Exploring Operation: 69-36=33, Resulting Numbers: [91, 33]
Generated Node #0,2,0: 74:[91, 33] Operation: 69-36=33
Exploring Operation: 91-69=22, Resulting Numbers: [36, 22]
Generated Node #0,2,1: 74:[36, 22] Operation: 91-69=22
Exploring Operation: 91-36=55, Resulting Numbers: [69, 55]
Generated Node #0,2,2: 74:[69, 55] Operation: 91-36=55
Exploring Operation: 36+69=105, Resulting Numbers: [91, 105]
Generated Node #0,2,3: 74:[91, 105] Operation: 36+69=105
Moving to Node #0,0
Current State: 74:[99, 36, 77], Operations: ['69+8=77']
Exploring Operation: 77-36=41, Resulting Numbers: [99, 41]
Generated Node #0,0,0: 74:[99, 41] Operation: 77-36=41
Exploring Operation: 99-77=22, Resulting Numbers: [36, 22]
Generated Node #0,0,1: 74:[36, 22] Operation: 99-77=22
Exploring Operation: 99+36=135, Resulting Numbers: [77, 135]
Generated Node #0,0,2: 74:[77, 135] Operation: 99+36=135
Exploring Operation: 99-36=63, Resulting Numbers: [77, 63]
Generated Node #0,0,3: 74:[77, 63] Operation: 99-36=63
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 74:[77, 63], Operations: ['69+8=77', '99-36=63']
Exploring Operation: 77+63=140, Resulting Numbers: [140]
140,74 unequal: No Solution
Exploring Operation: 77*63=4851, Resulting Numbers: [4851]
4851,74 unequal: No Solution
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[36, 22], Operations: ['69+8=77', '99-77=22']
Exploring Operation: 36+22=58, Resulting Numbers: [58]
58,74 unequal: No Solution
Exploring Operation: 36*22=792, Resulting Numbers: [792]
792,74 unequal: No Solution
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[99, 41], Operations: ['69+8=77', '77-36=41']
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,74 unequal: No Solution
Exploring Operation: 99*41=4059, Resulting Numbers: [4059]
4059,74 unequal: No Solution
Exploring Operation: 99+41=140, Resulting Numbers: [140]
140,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 74:[77, 135], Operations: ['69+8=77', '99+36=135']
Exploring Operation: 135-77=58, Resulting Numbers: [58]
58,74 unequal: No Solution
Exploring Operation: 77+135=212, Resulting Numbers: [212]
212,74 unequal: No Solution
Exploring Operation: 77*135=10395, Resulting Numbers: [10395]
10395,74 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: 74:[36, 38], Operations: ['99-69=30', '8+30=38']
Exploring Operation: 38-36=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 36+38=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[99, 36, 69, 8], Operations: []
Exploring Operation: 99-69=30, Resulting Numbers: [36, 8, 30]
Generated Node #0,3: 74:[36, 8, 30] Operation: 99-69=30
Moving to Node #0,3
Current State: 74:[36, 8, 30], Operations: ['99-69=30']
Exploring Operation: 8+30=38, Resulting Numbers: [36, 38]
Generated Node #0,3,0: 74:[36, 38] Operation: 8+30=38
Moving to Node #0,3,0
Current State: 74:[36, 38], Operations: ['99-69=30', '8+30=38']
Exploring Operation: 36+38=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.967014 | hs_4 | mult_heuristic |
[
35,
81,
75,
45
] | 74 | [
"81-35=46",
"75+45=120",
"120-46=74"
] | Current State: 74:[35, 81, 75, 45], Operations: []
Exploring Operation: 81-35=46, Resulting Numbers: [75, 45, 46]
Generated Node #2: [75, 45, 46] from Operation: 81-35=46
Current State: 74:[75, 45, 46], Operations: ['81-35=46']
Exploring Operation: 75+45=120, Resulting Numbers: [46, 120]
Generated Node #3: [46, 120] from Operation: 75+45=120
Current State: 74:[46, 120], Operations: ['81-35=46', '75+45=120']
Exploring Operation: 120-46=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[35, 81, 75, 45], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [35, 75, 36]
Generated Node #0,0: 74:[35, 75, 36] Operation: 81-45=36
Exploring Operation: 35+45=80, Resulting Numbers: [81, 75, 80]
Generated Node #0,1: 74:[81, 75, 80] Operation: 35+45=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[35, 75, 36], Operations: ['81-45=36']
Exploring Operation: 75-35=40, Resulting Numbers: [36, 40]
Generated Node #0,0,0: 74:[36, 40] Operation: 75-35=40
Exploring Operation: 36-35=1, Resulting Numbers: [75, 1]
Generated Node #0,0,1: 74:[75, 1] Operation: 36-35=1
Moving to Node #0,0,1
Current State: 74:[75, 1], Operations: ['81-45=36', '36-35=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,74 unequal: No Solution
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[35, 81, 75, 45], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [35, 75, 36]
Generated Node #0,0: 74:[35, 75, 36] Operation: 81-45=36
Moving to Node #0,0
Current State: 74:[35, 75, 36], Operations: ['81-45=36']
Exploring Operation: 36-35=1, Resulting Numbers: [75, 1]
Generated Node #0,0,1: 74:[75, 1] Operation: 36-35=1
Moving to Node #0,0,1
Current State: 74:[75, 1], Operations: ['81-45=36', '36-35=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
40,
46,
68,
12
] | 70 | [
"46-40=6",
"12/6=2",
"68+2=70"
] | Current State: 70:[40, 46, 68, 12], Operations: []
Exploring Operation: 46-40=6, Resulting Numbers: [68, 12, 6]
Generated Node #2: [68, 12, 6] from Operation: 46-40=6
Current State: 70:[68, 12, 6], Operations: ['46-40=6']
Exploring Operation: 12/6=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 12/6=2
Current State: 70:[68, 2], Operations: ['46-40=6', '12/6=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[40, 46, 68, 12], Operations: []
Exploring Operation: 46-12=34, Resulting Numbers: [40, 68, 34]
Generated Node #0,0: 70:[40, 68, 34] Operation: 46-12=34
Exploring Operation: 46-40=6, Resulting Numbers: [68, 12, 6]
Generated Node #0,1: 70:[68, 12, 6] Operation: 46-40=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[68, 12, 6], Operations: ['46-40=6']
Exploring Operation: 12-6=6, Resulting Numbers: [68, 6]
Generated Node #0,1,0: 70:[68, 6] Operation: 12-6=6
Exploring Operation: 12/6=2, Resulting Numbers: [68, 2]
Generated Node #0,1,1: 70:[68, 2] Operation: 12/6=2
Moving to Node #0,1,1
Current State: 70:[68, 2], Operations: ['46-40=6', '12/6=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[40, 46, 68, 12], Operations: []
Exploring Operation: 46-40=6, Resulting Numbers: [68, 12, 6]
Generated Node #0,1: 70:[68, 12, 6] Operation: 46-40=6
Moving to Node #0,1
Current State: 70:[68, 12, 6], Operations: ['46-40=6']
Exploring Operation: 12/6=2, Resulting Numbers: [68, 2]
Generated Node #0,1,1: 70:[68, 2] Operation: 12/6=2
Moving to Node #0,1,1
Current State: 70:[68, 2], Operations: ['46-40=6', '12/6=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
92,
64,
38,
48
] | 72 | [
"92-38=54",
"64*54=3456",
"3456/48=72"
] | Current State: 72:[92, 64, 38, 48], Operations: []
Exploring Operation: 92-38=54, Resulting Numbers: [64, 48, 54]
Generated Node #2: [64, 48, 54] from Operation: 92-38=54
Current State: 72:[64, 48, 54], Operations: ['92-38=54']
Exploring Operation: 64*54=3456, Resulting Numbers: [48, 3456]
Generated Node #3: [48, 3456] from Operation: 64*54=3456
Current State: 72:[48, 3456], Operations: ['92-38=54', '64*54=3456']
Exploring Operation: 3456/48=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[92, 64, 38, 48], Operations: []
Exploring Operation: 48-38=10, Resulting Numbers: [92, 64, 10]
Generated Node #0,0: 72:[92, 64, 10] Operation: 48-38=10
Exploring Operation: 92-64=28, Resulting Numbers: [38, 48, 28]
Generated Node #0,1: 72:[38, 48, 28] Operation: 92-64=28
Exploring Operation: 92-48=44, Resulting Numbers: [64, 38, 44]
Generated Node #0,2: 72:[64, 38, 44] Operation: 92-48=44
Exploring Operation: 64-48=16, Resulting Numbers: [92, 38, 16]
Generated Node #0,3: 72:[92, 38, 16] Operation: 64-48=16
Moving to Node #0,1
Current State: 72:[38, 48, 28], Operations: ['92-64=28']
Exploring Operation: 48+28=76, Resulting Numbers: [38, 76]
Generated Node #0,1,0: 72:[38, 76] Operation: 48+28=76
Exploring Operation: 48-28=20, Resulting Numbers: [38, 20]
Generated Node #0,1,1: 72:[38, 20] Operation: 48-28=20
Exploring Operation: 38-28=10, Resulting Numbers: [48, 10]
Generated Node #0,1,2: 72:[48, 10] Operation: 38-28=10
Exploring Operation: 48-38=10, Resulting Numbers: [28, 10]
Generated Node #0,1,3: 72:[28, 10] Operation: 48-38=10
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 72:[38, 20], Operations: ['92-64=28', '48-28=20']
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,72 unequal: No Solution
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,72 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,72 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:[28, 10], Operations: ['92-64=28', '48-38=10']
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,72 unequal: No Solution
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,72 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:[38, 76], Operations: ['92-64=28', '48+28=76']
Exploring Operation: 38*76=2888, Resulting Numbers: [2888]
2888,72 unequal: No Solution
Exploring Operation: 38+76=114, Resulting Numbers: [114]
114,72 unequal: No Solution
Exploring Operation: 76/38=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,72 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 #0,1,2
Current State: 72:[48, 10], Operations: ['92-64=28', '38-28=10']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Exploring Operation: 48*10=480, Resulting Numbers: [480]
480,72 unequal: No Solution
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,72 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:[64, 38, 44], Operations: ['92-48=44']
Exploring Operation: 64-44=20, Resulting Numbers: [38, 20]
Generated Node #0,2,0: 72:[38, 20] Operation: 64-44=20
Exploring Operation: 38+44=82, Resulting Numbers: [64, 82]
Generated Node #0,2,1: 72:[64, 82] Operation: 38+44=82
Exploring Operation: 44-38=6, Resulting Numbers: [64, 6]
Generated Node #0,2,2: 72:[64, 6] Operation: 44-38=6
Exploring Operation: 64-38=26, Resulting Numbers: [44, 26]
Generated Node #0,2,3: 72:[44, 26] Operation: 64-38=26
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[38, 20], Operations: ['92-48=44', '64-44=20']
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,72 unequal: No Solution
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,72 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[64, 6], Operations: ['92-48=44', '44-38=6']
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,72 unequal: No Solution
Exploring Operation: 64*6=384, Resulting Numbers: [384]
384,72 unequal: No Solution
Exploring Operation: 64-6=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 #0,2,3
Current State: 72:[44, 26], Operations: ['92-48=44', '64-38=26']
Exploring Operation: 44+26=70, Resulting Numbers: [70]
70,72 unequal: No Solution
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 44*26=1144, Resulting Numbers: [1144]
1144,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[64, 82], Operations: ['92-48=44', '38+44=82']
Exploring Operation: 64*82=5248, Resulting Numbers: [5248]
5248,72 unequal: No Solution
Exploring Operation: 64+82=146, Resulting Numbers: [146]
146,72 unequal: No Solution
Exploring Operation: 82-64=18, Resulting Numbers: [18]
18,72 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: 72:[92, 38, 16], Operations: ['64-48=16']
Exploring Operation: 38-16=22, Resulting Numbers: [92, 22]
Generated Node #0,3,0: 72:[92, 22] Operation: 38-16=22
Exploring Operation: 92-16=76, Resulting Numbers: [38, 76]
Generated Node #0,3,1: 72:[38, 76] Operation: 92-16=76
Exploring Operation: 92-38=54, Resulting Numbers: [16, 54]
Generated Node #0,3,2: 72:[16, 54] Operation: 92-38=54
Exploring Operation: 92+16=108, Resulting Numbers: [38, 108]
Generated Node #0,3,3: 72:[38, 108] Operation: 92+16=108
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 72:[38, 76], Operations: ['64-48=16', '92-16=76']
Exploring Operation: 76/38=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Exploring Operation: 38+76=114, Resulting Numbers: [114]
114,72 unequal: No Solution
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Exploring Operation: 38*76=2888, Resulting Numbers: [2888]
2888,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 72:[16, 54], Operations: ['64-48=16', '92-38=54']
Exploring Operation: 16+54=70, Resulting Numbers: [70]
70,72 unequal: No Solution
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Exploring Operation: 16*54=864, Resulting Numbers: [864]
864,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 72:[92, 22], Operations: ['64-48=16', '38-16=22']
Exploring Operation: 92+22=114, Resulting Numbers: [114]
114,72 unequal: No Solution
Exploring Operation: 92*22=2024, Resulting Numbers: [2024]
2024,72 unequal: No Solution
Exploring Operation: 92-22=70, Resulting Numbers: [70]
70,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 72:[38, 108], Operations: ['64-48=16', '92+16=108']
Exploring Operation: 38*108=4104, Resulting Numbers: [4104]
4104,72 unequal: No Solution
Exploring Operation: 108-38=70, Resulting Numbers: [70]
70,72 unequal: No Solution
Exploring Operation: 38+108=146, Resulting Numbers: [146]
146,72 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:[92, 64, 10], Operations: ['48-38=10']
Exploring Operation: 92-64=28, Resulting Numbers: [10, 28]
Generated Node #0,0,0: 72:[10, 28] Operation: 92-64=28
Exploring Operation: 92+10=102, Resulting Numbers: [64, 102]
Generated Node #0,0,1: 72:[64, 102] Operation: 92+10=102
Exploring Operation: 64+10=74, Resulting Numbers: [92, 74]
Generated Node #0,0,2: 72:[92, 74] Operation: 64+10=74
Exploring Operation: 92-10=82, Resulting Numbers: [64, 82]
Generated Node #0,0,3: 72:[64, 82] Operation: 92-10=82
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[10, 28], Operations: ['48-38=10', '92-64=28']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,72 unequal: No Solution
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,72 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 #0,0,3
Current State: 72:[64, 82], Operations: ['48-38=10', '92-10=82']
Exploring Operation: 64*82=5248, Resulting Numbers: [5248]
5248,72 unequal: No Solution
Exploring Operation: 82-64=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 64+82=146, Resulting Numbers: [146]
146,72 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 #0,0,2
Current State: 72:[92, 74], Operations: ['48-38=10', '64+10=74']
Exploring Operation: 92*74=6808, Resulting Numbers: [6808]
6808,72 unequal: No Solution
Exploring Operation: 92-74=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 92+74=166, Resulting Numbers: [166]
166,72 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 #0,0,1
Current State: 72:[64, 102], Operations: ['48-38=10', '92+10=102']
Exploring Operation: 64+102=166, Resulting Numbers: [166]
166,72 unequal: No Solution
Exploring Operation: 64*102=6528, Resulting Numbers: [6528]
6528,72 unequal: No Solution
Exploring Operation: 102-64=38, Resulting Numbers: [38]
38,72 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 |
[
37,
91,
97,
17
] | 95 | [
"91-17=74",
"74/37=2",
"97-2=95"
] | Current State: 95:[37, 91, 97, 17], Operations: []
Exploring Operation: 91-17=74, Resulting Numbers: [37, 97, 74]
Generated Node #2: [37, 97, 74] from Operation: 91-17=74
Current State: 95:[37, 97, 74], Operations: ['91-17=74']
Exploring Operation: 74/37=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 74/37=2
Current State: 95:[97, 2], Operations: ['91-17=74', '74/37=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[37, 91, 97, 17], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [37, 17, 6]
Generated Node #0,0: 95:[37, 17, 6] Operation: 97-91=6
Exploring Operation: 97-17=80, Resulting Numbers: [37, 91, 80]
Generated Node #0,1: 95:[37, 91, 80] Operation: 97-17=80
Exploring Operation: 91+17=108, Resulting Numbers: [37, 97, 108]
Generated Node #0,2: 95:[37, 97, 108] Operation: 91+17=108
Exploring Operation: 37-17=20, Resulting Numbers: [91, 97, 20]
Generated Node #0,3: 95:[91, 97, 20] Operation: 37-17=20
Exploring Operation: 37+91=128, Resulting Numbers: [97, 17, 128]
Generated Node #0,4: 95:[97, 17, 128] Operation: 37+91=128
Moving to Node #0,3
Current State: 95:[91, 97, 20], Operations: ['37-17=20']
Exploring Operation: 91-20=71, Resulting Numbers: [97, 71]
Generated Node #0,3,0: 95:[97, 71] Operation: 91-20=71
Exploring Operation: 91+20=111, Resulting Numbers: [97, 111]
Generated Node #0,3,1: 95:[97, 111] Operation: 91+20=111
Exploring Operation: 97+20=117, Resulting Numbers: [91, 117]
Generated Node #0,3,2: 95:[91, 117] Operation: 97+20=117
Exploring Operation: 97-91=6, Resulting Numbers: [20, 6]
Generated Node #0,3,3: 95:[20, 6] Operation: 97-91=6
Exploring Operation: 97-20=77, Resulting Numbers: [91, 77]
Generated Node #0,3,4: 95:[91, 77] Operation: 97-20=77
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 95:[20, 6], Operations: ['37-17=20', '97-91=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Exploring Operation: 20*6=120, Resulting Numbers: [120]
120,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 95:[97, 111], Operations: ['37-17=20', '91+20=111']
Exploring Operation: 97*111=10767, Resulting Numbers: [10767]
10767,95 unequal: No Solution
Exploring Operation: 97+111=208, Resulting Numbers: [208]
208,95 unequal: No Solution
Exploring Operation: 111-97=14, Resulting Numbers: [14]
14,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 95:[91, 77], Operations: ['37-17=20', '97-20=77']
Exploring Operation: 91*77=7007, Resulting Numbers: [7007]
7007,95 unequal: No Solution
Exploring Operation: 91+77=168, Resulting Numbers: [168]
168,95 unequal: No Solution
Exploring Operation: 91-77=14, Resulting Numbers: [14]
14,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 95:[97, 71], Operations: ['37-17=20', '91-20=71']
Exploring Operation: 97-71=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Exploring Operation: 97*71=6887, Resulting Numbers: [6887]
6887,95 unequal: No Solution
Exploring Operation: 97+71=168, Resulting Numbers: [168]
168,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 95:[91, 117], Operations: ['37-17=20', '97+20=117']
Exploring Operation: 117-91=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Exploring Operation: 91*117=10647, Resulting Numbers: [10647]
10647,95 unequal: No Solution
Exploring Operation: 91+117=208, Resulting Numbers: [208]
208,95 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: 95:[37, 17, 6], Operations: ['97-91=6']
Exploring Operation: 17+6=23, Resulting Numbers: [37, 23]
Generated Node #0,0,0: 95:[37, 23] Operation: 17+6=23
Exploring Operation: 17*6=102, Resulting Numbers: [37, 102]
Generated Node #0,0,1: 95:[37, 102] Operation: 17*6=102
Exploring Operation: 37-17=20, Resulting Numbers: [6, 20]
Generated Node #0,0,2: 95:[6, 20] Operation: 37-17=20
Exploring Operation: 37-6=31, Resulting Numbers: [17, 31]
Generated Node #0,0,3: 95:[17, 31] Operation: 37-6=31
Exploring Operation: 17-6=11, Resulting Numbers: [37, 11]
Generated Node #0,0,4: 95:[37, 11] Operation: 17-6=11
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[6, 20], Operations: ['97-91=6', '37-17=20']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 95:[17, 31], Operations: ['97-91=6', '37-6=31']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,95 unequal: No Solution
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[37, 23], Operations: ['97-91=6', '17+6=23']
Exploring Operation: 37*23=851, Resulting Numbers: [851]
851,95 unequal: No Solution
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,95 unequal: No Solution
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 95:[37, 11], Operations: ['97-91=6', '17-6=11']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,95 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[37, 102], Operations: ['97-91=6', '17*6=102']
Exploring Operation: 37*102=3774, Resulting Numbers: [3774]
3774,95 unequal: No Solution
Exploring Operation: 102-37=65, Resulting Numbers: [65]
65,95 unequal: No Solution
Exploring Operation: 37+102=139, Resulting Numbers: [139]
139,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 95:[37, 97, 108], Operations: ['91+17=108']
Exploring Operation: 37+97=134, Resulting Numbers: [108, 134]
Generated Node #0,2,0: 95:[108, 134] Operation: 37+97=134
Exploring Operation: 108-97=11, Resulting Numbers: [37, 11]
Generated Node #0,2,1: 95:[37, 11] Operation: 108-97=11
Exploring Operation: 108-37=71, Resulting Numbers: [97, 71]
Generated Node #0,2,2: 95:[97, 71] Operation: 108-37=71
Exploring Operation: 37+108=145, Resulting Numbers: [97, 145]
Generated Node #0,2,3: 95:[97, 145] Operation: 37+108=145
Exploring Operation: 97-37=60, Resulting Numbers: [108, 60]
Generated Node #0,2,4: 95:[108, 60] Operation: 97-37=60
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 95:[37, 11], Operations: ['91+17=108', '108-97=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,95 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,95 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 #0,2,2
Current State: 95:[97, 71], Operations: ['91+17=108', '108-37=71']
Exploring Operation: 97+71=168, Resulting Numbers: [168]
168,95 unequal: No Solution
Exploring Operation: 97*71=6887, Resulting Numbers: [6887]
6887,95 unequal: No Solution
Exploring Operation: 97-71=26, Resulting Numbers: [26]
26,95 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 #0,2,4
Current State: 95:[108, 60], Operations: ['91+17=108', '97-37=60']
Exploring Operation: 108+60=168, Resulting Numbers: [168]
168,95 unequal: No Solution
Exploring Operation: 108*60=6480, Resulting Numbers: [6480]
6480,95 unequal: No Solution
Exploring Operation: 108-60=48, Resulting Numbers: [48]
48,95 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 #0,2,0
Current State: 95:[108, 134], Operations: ['91+17=108', '37+97=134']
Exploring Operation: 108+134=242, Resulting Numbers: [242]
242,95 unequal: No Solution
Exploring Operation: 108*134=14472, Resulting Numbers: [14472]
14472,95 unequal: No Solution
Exploring Operation: 134-108=26, Resulting Numbers: [26]
26,95 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 #0,2,3
Current State: 95:[97, 145], Operations: ['91+17=108', '37+108=145']
Exploring Operation: 97+145=242, Resulting Numbers: [242]
242,95 unequal: No Solution
Exploring Operation: 145-97=48, Resulting Numbers: [48]
48,95 unequal: No Solution
Exploring Operation: 97*145=14065, Resulting Numbers: [14065]
14065,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 95:[37, 91, 80], Operations: ['97-17=80']
Exploring Operation: 80-37=43, Resulting Numbers: [91, 43]
Generated Node #0,1,0: 95:[91, 43] Operation: 80-37=43
Exploring Operation: 91-80=11, Resulting Numbers: [37, 11]
Generated Node #0,1,1: 95:[37, 11] Operation: 91-80=11
Exploring Operation: 37+91=128, Resulting Numbers: [80, 128]
Generated Node #0,1,2: 95:[80, 128] Operation: 37+91=128
Exploring Operation: 91-37=54, Resulting Numbers: [80, 54]
Generated Node #0,1,3: 95:[80, 54] Operation: 91-37=54
Exploring Operation: 37+80=117, Resulting Numbers: [91, 117]
Generated Node #0,1,4: 95:[91, 117] Operation: 37+80=117
Moving to Node #0,4
Current State: 95:[97, 17, 128], Operations: ['37+91=128']
Exploring Operation: 128-97=31, Resulting Numbers: [17, 31]
Generated Node #0,4,0: 95:[17, 31] Operation: 128-97=31
Exploring Operation: 97-17=80, Resulting Numbers: [128, 80]
Generated Node #0,4,1: 95:[128, 80] Operation: 97-17=80
Exploring Operation: 128-17=111, Resulting Numbers: [97, 111]
Generated Node #0,4,2: 95:[97, 111] Operation: 128-17=111
Exploring Operation: 97+17=114, Resulting Numbers: [128, 114]
Generated Node #0,4,3: 95:[128, 114] Operation: 97+17=114
Exploring Operation: 17+128=145, Resulting Numbers: [97, 145]
Generated Node #0,4,4: 95:[97, 145] Operation: 17+128=145
Moving to Node #0,4,0
Current State: 95:[17, 31], Operations: ['37+91=128', '128-97=31']
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,95 unequal: No Solution
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,95 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Moving to Node #0,4,2
Current State: 95:[97, 111], Operations: ['37+91=128', '128-17=111']
Exploring Operation: 97+111=208, Resulting Numbers: [208]
208,95 unequal: No Solution
Exploring Operation: 111-97=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 97*111=10767, Resulting Numbers: [10767]
10767,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[37, 11], Operations: ['97-17=80', '91-80=11']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,95 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,95 unequal: No Solution
Moving to Node #0,1,4
Current State: 95:[91, 117], Operations: ['97-17=80', '37+80=117']
Exploring Operation: 91*117=10647, Resulting Numbers: [10647]
10647,95 unequal: No Solution
Exploring Operation: 91+117=208, Resulting Numbers: [208]
208,95 unequal: No Solution
Exploring Operation: 117-91=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[91, 43], Operations: ['97-17=80', '80-37=43']
Exploring Operation: 91+43=134, Resulting Numbers: [134]
134,95 unequal: No Solution
Exploring Operation: 91-43=48, Resulting Numbers: [48]
48,95 unequal: No Solution
Exploring Operation: 91*43=3913, Resulting Numbers: [3913]
3913,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[80, 128], Operations: ['97-17=80', '37+91=128']
Exploring Operation: 80+128=208, Resulting Numbers: [208]
208,95 unequal: No Solution
Exploring Operation: 80*128=10240, Resulting Numbers: [10240]
10240,95 unequal: No Solution
Exploring Operation: 128-80=48, Resulting Numbers: [48]
48,95 unequal: No Solution
Moving to Node #0,4,1
Current State: 95:[128, 80], Operations: ['37+91=128', '97-17=80']
Exploring Operation: 128-80=48, Resulting Numbers: [48]
48,95 unequal: No Solution
Exploring Operation: 128+80=208, Resulting Numbers: [208]
208,95 unequal: No Solution
Exploring Operation: 128*80=10240, Resulting Numbers: [10240]
10240,95 unequal: No Solution
Moving to Node #0,1,3
Current State: 95:[80, 54], Operations: ['97-17=80', '91-37=54']
Exploring Operation: 80+54=134, Resulting Numbers: [134]
134,95 unequal: No Solution
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Exploring Operation: 80*54=4320, Resulting Numbers: [4320]
4320,95 unequal: No Solution
Moving to Node #0,4,4
Current State: 95:[97, 145], Operations: ['37+91=128', '17+128=145']
Exploring Operation: 97*145=14065, Resulting Numbers: [14065]
14065,95 unequal: No Solution
Exploring Operation: 145-97=48, Resulting Numbers: [48]
48,95 unequal: No Solution
Exploring Operation: 97+145=242, Resulting Numbers: [242]
242,95 unequal: No Solution
Moving to Node #0,4,3
Current State: 95:[128, 114], Operations: ['37+91=128', '97+17=114']
Exploring Operation: 128*114=14592, Resulting Numbers: [14592]
14592,95 unequal: No Solution
Exploring Operation: 128-114=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 128+114=242, Resulting Numbers: [242]
242,95 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
71,
41,
73,
81
] | 80 | [
"73-71=2",
"81-41=40",
"2*40=80"
] | Current State: 80:[71, 41, 73, 81], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [41, 81, 2]
Generated Node #2: [41, 81, 2] from Operation: 73-71=2
Current State: 80:[41, 81, 2], Operations: ['73-71=2']
Exploring Operation: 81-41=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 81-41=40
Current State: 80:[2, 40], Operations: ['73-71=2', '81-41=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[71, 41, 73, 81], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [41, 81, 2]
Generated Node #0,0: 80:[41, 81, 2] Operation: 73-71=2
Exploring Operation: 81-71=10, Resulting Numbers: [41, 73, 10]
Generated Node #0,1: 80:[41, 73, 10] Operation: 81-71=10
Moving to Node #0,0
Current State: 80:[41, 81, 2], Operations: ['73-71=2']
Exploring Operation: 41-2=39, Resulting Numbers: [81, 39]
Generated Node #0,0,0: 80:[81, 39] Operation: 41-2=39
Exploring Operation: 81-41=40, Resulting Numbers: [2, 40]
Generated Node #0,0,1: 80:[2, 40] Operation: 81-41=40
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[2, 40], Operations: ['73-71=2', '81-41=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[71, 41, 73, 81], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [41, 81, 2]
Generated Node #0,0: 80:[41, 81, 2] Operation: 73-71=2
Moving to Node #0,0
Current State: 80:[41, 81, 2], Operations: ['73-71=2']
Exploring Operation: 81-41=40, Resulting Numbers: [2, 40]
Generated Node #0,0,1: 80:[2, 40] Operation: 81-41=40
Moving to Node #0,0,1
Current State: 80:[2, 40], Operations: ['73-71=2', '81-41=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
8,
51,
8,
84
] | 34 | [
"8/8=1",
"84-51=33",
"1+33=34"
] | Current State: 34:[8, 51, 8, 84], Operations: []
Exploring Operation: 8/8=1, Resulting Numbers: [51, 84, 1]
Generated Node #2: [51, 84, 1] from Operation: 8/8=1
Current State: 34:[51, 84, 1], Operations: ['8/8=1']
Exploring Operation: 84-51=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 84-51=33
Current State: 34:[1, 33], Operations: ['8/8=1', '84-51=33']
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[8, 51, 8, 84], Operations: []
Exploring Operation: 84-8=76, Resulting Numbers: [51, 8, 76]
Generated Node #0,0: 34:[51, 8, 76] Operation: 84-8=76
Exploring Operation: 51-8=43, Resulting Numbers: [8, 84, 43]
Generated Node #0,1: 34:[8, 84, 43] Operation: 51-8=43
Exploring Operation: 84-51=33, Resulting Numbers: [8, 8, 33]
Generated Node #0,2: 34:[8, 8, 33] Operation: 84-51=33
Exploring Operation: 51-8=43, Resulting Numbers: [8, 84, 43]
Generated Node #0,3: 34:[8, 84, 43] Operation: 51-8=43
Exploring Operation: 84-8=76, Resulting Numbers: [8, 51, 76]
Generated Node #0,4: 34:[8, 51, 76] Operation: 84-8=76
Moving to Node #0,2
Current State: 34:[8, 8, 33], Operations: ['84-51=33']
Exploring Operation: 8+8=16, Resulting Numbers: [33, 16]
Generated Node #0,2,0: 34:[33, 16] Operation: 8+8=16
Exploring Operation: 8+33=41, Resulting Numbers: [8, 41]
Generated Node #0,2,1: 34:[8, 41] Operation: 8+33=41
Exploring Operation: 8-8=0, Resulting Numbers: [33, 0]
Generated Node #0,2,2: 34:[33, 0] Operation: 8-8=0
Exploring Operation: 8+33=41, Resulting Numbers: [8, 41]
Generated Node #0,2,3: 34:[8, 41] Operation: 8+33=41
Exploring Operation: 8/8=1, Resulting Numbers: [33, 1]
Generated Node #0,2,4: 34:[33, 1] Operation: 8/8=1
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 34:[33, 16], Operations: ['84-51=33', '8+8=16']
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,34 unequal: No Solution
Exploring Operation: 33*16=528, Resulting Numbers: [528]
528,34 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,34 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 #0,2,4
Current State: 34:[33, 1], Operations: ['84-51=33', '8/8=1']
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[8, 51, 8, 84], Operations: []
Exploring Operation: 84-51=33, Resulting Numbers: [8, 8, 33]
Generated Node #0,2: 34:[8, 8, 33] Operation: 84-51=33
Moving to Node #0,2
Current State: 34:[8, 8, 33], Operations: ['84-51=33']
Exploring Operation: 8/8=1, Resulting Numbers: [33, 1]
Generated Node #0,2,4: 34:[33, 1] Operation: 8/8=1
Moving to Node #0,2,4
Current State: 34:[33, 1], Operations: ['84-51=33', '8/8=1']
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
27,
62,
73,
24
] | 33 | [
"27-24=3",
"73-62=11",
"3*11=33"
] | Current State: 33:[27, 62, 73, 24], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [62, 73, 3]
Generated Node #2: [62, 73, 3] from Operation: 27-24=3
Current State: 33:[62, 73, 3], Operations: ['27-24=3']
Exploring Operation: 73-62=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 73-62=11
Current State: 33:[3, 11], Operations: ['27-24=3', '73-62=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[27, 62, 73, 24], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [27, 24, 11]
Generated Node #0,0: 33:[27, 24, 11] Operation: 73-62=11
Exploring Operation: 62-27=35, Resulting Numbers: [73, 24, 35]
Generated Node #0,1: 33:[73, 24, 35] Operation: 62-27=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[27, 24, 11], Operations: ['73-62=11']
Exploring Operation: 27-24=3, Resulting Numbers: [11, 3]
Generated Node #0,0,0: 33:[11, 3] Operation: 27-24=3
Exploring Operation: 24+11=35, Resulting Numbers: [27, 35]
Generated Node #0,0,1: 33:[27, 35] Operation: 24+11=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[11, 3], Operations: ['73-62=11', '27-24=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[27, 62, 73, 24], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [27, 24, 11]
Generated Node #0,0: 33:[27, 24, 11] Operation: 73-62=11
Moving to Node #0,0
Current State: 33:[27, 24, 11], Operations: ['73-62=11']
Exploring Operation: 27-24=3, Resulting Numbers: [11, 3]
Generated Node #0,0,0: 33:[11, 3] Operation: 27-24=3
Moving to Node #0,0,0
Current State: 33:[11, 3], Operations: ['73-62=11', '27-24=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
37,
98,
21,
26
] | 87 | [
"26-21=5",
"37*5=185",
"185-98=87"
] | Current State: 87:[37, 98, 21, 26], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [37, 98, 5]
Generated Node #2: [37, 98, 5] from Operation: 26-21=5
Current State: 87:[37, 98, 5], Operations: ['26-21=5']
Exploring Operation: 37*5=185, Resulting Numbers: [98, 185]
Generated Node #3: [98, 185] from Operation: 37*5=185
Current State: 87:[98, 185], Operations: ['26-21=5', '37*5=185']
Exploring Operation: 185-98=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[37, 98, 21, 26], Operations: []
Exploring Operation: 98-21=77, Resulting Numbers: [37, 26, 77]
Generated Node #0,0: 87:[37, 26, 77] Operation: 98-21=77
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[37, 26, 77], Operations: ['98-21=77']
Exploring Operation: 77-37=40, Resulting Numbers: [26, 40]
Generated Node #0,0,0: 87:[26, 40] Operation: 77-37=40
Moving to Node #0,0,0
Current State: 87:[26, 40], Operations: ['98-21=77', '77-37=40']
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,87 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 |
[
58,
48,
90,
42
] | 28 | [
"90-58=32",
"42*32=1344",
"1344/48=28"
] | Current State: 28:[58, 48, 90, 42], Operations: []
Exploring Operation: 90-58=32, Resulting Numbers: [48, 42, 32]
Generated Node #2: [48, 42, 32] from Operation: 90-58=32
Current State: 28:[48, 42, 32], Operations: ['90-58=32']
Exploring Operation: 42*32=1344, Resulting Numbers: [48, 1344]
Generated Node #3: [48, 1344] from Operation: 42*32=1344
Current State: 28:[48, 1344], Operations: ['90-58=32', '42*32=1344']
Exploring Operation: 1344/48=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[58, 48, 90, 42], Operations: []
Exploring Operation: 58-42=16, Resulting Numbers: [48, 90, 16]
Generated Node #0,0: 28:[48, 90, 16] Operation: 58-42=16
Exploring Operation: 58-48=10, Resulting Numbers: [90, 42, 10]
Generated Node #0,1: 28:[90, 42, 10] Operation: 58-48=10
Exploring Operation: 90-58=32, Resulting Numbers: [48, 42, 32]
Generated Node #0,2: 28:[48, 42, 32] Operation: 90-58=32
Exploring Operation: 90-48=42, Resulting Numbers: [58, 42, 42]
Generated Node #0,3: 28:[58, 42, 42] Operation: 90-48=42
Exploring Operation: 90-42=48, Resulting Numbers: [58, 48, 48]
Generated Node #0,4: 28:[58, 48, 48] Operation: 90-42=48
Moving to Node #0,2
Current State: 28:[48, 42, 32], Operations: ['90-58=32']
Exploring Operation: 48+32=80, Resulting Numbers: [42, 80]
Generated Node #0,2,0: 28:[42, 80] Operation: 48+32=80
Exploring Operation: 48+42=90, Resulting Numbers: [32, 90]
Generated Node #0,2,1: 28:[32, 90] Operation: 48+42=90
Exploring Operation: 48-32=16, Resulting Numbers: [42, 16]
Generated Node #0,2,2: 28:[42, 16] Operation: 48-32=16
Exploring Operation: 48-42=6, Resulting Numbers: [32, 6]
Generated Node #0,2,3: 28:[32, 6] Operation: 48-42=6
Exploring Operation: 42-32=10, Resulting Numbers: [48, 10]
Generated Node #0,2,4: 28:[48, 10] Operation: 42-32=10
Moving to Node #0,3
Current State: 28:[58, 42, 42], Operations: ['90-48=42']
Exploring Operation: 42-42=0, Resulting Numbers: [58, 0]
Generated Node #0,3,0: 28:[58, 0] Operation: 42-42=0
Exploring Operation: 58-42=16, Resulting Numbers: [42, 16]
Generated Node #0,3,1: 28:[42, 16] Operation: 58-42=16
Exploring Operation: 58-42=16, Resulting Numbers: [42, 16]
Generated Node #0,3,2: 28:[42, 16] Operation: 58-42=16
Exploring Operation: 42/42=1, Resulting Numbers: [58, 1]
Generated Node #0,3,3: 28:[58, 1] Operation: 42/42=1
Exploring Operation: 58+42=100, Resulting Numbers: [42, 100]
Generated Node #0,3,4: 28:[42, 100] Operation: 58+42=100
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 28:[42, 16], Operations: ['90-48=42', '58-42=16']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Exploring Operation: 42*16=672, Resulting Numbers: [672]
672,28 unequal: No Solution
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 28:[42, 16], Operations: ['90-48=42', '58-42=16']
Exploring Operation: 42*16=672, Resulting Numbers: [672]
672,28 unequal: No Solution
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 28:[58, 1], Operations: ['90-48=42', '42/42=1']
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,28 unequal: No Solution
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,28 unequal: No Solution
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 28:[58, 0], Operations: ['90-48=42', '42-42=0']
Exploring Operation: 58+0=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 58*0=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 58-0=58, Resulting Numbers: [58]
58,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 28:[42, 100], Operations: ['90-48=42', '58+42=100']
Exploring Operation: 42*100=4200, Resulting Numbers: [4200]
4200,28 unequal: No Solution
Exploring Operation: 42+100=142, Resulting Numbers: [142]
142,28 unequal: No Solution
Exploring Operation: 100-42=58, Resulting Numbers: [58]
58,28 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: 28:[58, 48, 48], Operations: ['90-42=48']
Exploring Operation: 48/48=1, Resulting Numbers: [58, 1]
Generated Node #0,4,0: 28:[58, 1] Operation: 48/48=1
Exploring Operation: 58-48=10, Resulting Numbers: [48, 10]
Generated Node #0,4,1: 28:[48, 10] Operation: 58-48=10
Exploring Operation: 48-48=0, Resulting Numbers: [58, 0]
Generated Node #0,4,2: 28:[58, 0] Operation: 48-48=0
Exploring Operation: 58-48=10, Resulting Numbers: [48, 10]
Generated Node #0,4,3: 28:[48, 10] Operation: 58-48=10
Exploring Operation: 58+48=106, Resulting Numbers: [48, 106]
Generated Node #0,4,4: 28:[48, 106] Operation: 58+48=106
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 28:[48, 10], Operations: ['90-42=48', '58-48=10']
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 48*10=480, Resulting Numbers: [480]
480,28 unequal: No Solution
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 28:[48, 10], Operations: ['90-42=48', '58-48=10']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 48*10=480, Resulting Numbers: [480]
480,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 28:[58, 1], Operations: ['90-42=48', '48/48=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,28 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,28 unequal: No Solution
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 28:[58, 0], Operations: ['90-42=48', '48-48=0']
Exploring Operation: 58*0=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 58-0=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 58+0=58, Resulting Numbers: [58]
58,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 28:[48, 106], Operations: ['90-42=48', '58+48=106']
Exploring Operation: 48*106=5088, Resulting Numbers: [5088]
5088,28 unequal: No Solution
Exploring Operation: 106-48=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 48+106=154, Resulting Numbers: [154]
154,28 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: 28:[90, 42, 10], Operations: ['58-48=10']
Exploring Operation: 42-10=32, Resulting Numbers: [90, 32]
Generated Node #0,1,0: 28:[90, 32] Operation: 42-10=32
Exploring Operation: 90-10=80, Resulting Numbers: [42, 80]
Generated Node #0,1,1: 28:[42, 80] Operation: 90-10=80
Exploring Operation: 90+10=100, Resulting Numbers: [42, 100]
Generated Node #0,1,2: 28:[42, 100] Operation: 90+10=100
Exploring Operation: 90-42=48, Resulting Numbers: [10, 48]
Generated Node #0,1,3: 28:[10, 48] Operation: 90-42=48
Exploring Operation: 90/10=9, Resulting Numbers: [42, 9]
Generated Node #0,1,4: 28:[42, 9] Operation: 90/10=9
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 28:[42, 9], Operations: ['58-48=10', '90/10=9']
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,28 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,28 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 28:[10, 48], Operations: ['58-48=10', '90-42=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,28 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[90, 32], Operations: ['58-48=10', '42-10=32']
Exploring Operation: 90+32=122, Resulting Numbers: [122]
122,28 unequal: No Solution
Exploring Operation: 90*32=2880, Resulting Numbers: [2880]
2880,28 unequal: No Solution
Exploring Operation: 90-32=58, Resulting Numbers: [58]
58,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[42, 80], Operations: ['58-48=10', '90-10=80']
Exploring Operation: 42+80=122, Resulting Numbers: [122]
122,28 unequal: No Solution
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 42*80=3360, Resulting Numbers: [3360]
3360,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 28:[42, 100], Operations: ['58-48=10', '90+10=100']
Exploring Operation: 42*100=4200, Resulting Numbers: [4200]
4200,28 unequal: No Solution
Exploring Operation: 100-42=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 42+100=142, Resulting Numbers: [142]
142,28 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: 28:[48, 90, 16], Operations: ['58-42=16']
Exploring Operation: 48/16=3, Resulting Numbers: [90, 3]
Generated Node #0,0,0: 28:[90, 3] Operation: 48/16=3
Exploring Operation: 48+16=64, Resulting Numbers: [90, 64]
Generated Node #0,0,1: 28:[90, 64] Operation: 48+16=64
Exploring Operation: 90-16=74, Resulting Numbers: [48, 74]
Generated Node #0,0,2: 28:[48, 74] Operation: 90-16=74
Exploring Operation: 48-16=32, Resulting Numbers: [90, 32]
Generated Node #0,0,3: 28:[90, 32] Operation: 48-16=32
Exploring Operation: 90-48=42, Resulting Numbers: [16, 42]
Generated Node #0,0,4: 28:[16, 42] Operation: 90-48=42
Moving to Node #0,2,3
Current State: 28:[32, 6], Operations: ['90-58=32', '48-42=6']
Exploring Operation: 32*6=192, Resulting Numbers: [192]
192,28 unequal: No Solution
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Moving to Node #0,0,4
Current State: 28:[16, 42], Operations: ['58-42=16', '90-48=42']
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Exploring Operation: 16*42=672, Resulting Numbers: [672]
672,28 unequal: No Solution
Moving to Node #0,2,2
Current State: 28:[42, 16], Operations: ['90-58=32', '48-32=16']
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 42*16=672, Resulting Numbers: [672]
672,28 unequal: No Solution
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Moving to Node #0,2,4
Current State: 28:[48, 10], Operations: ['90-58=32', '42-32=10']
Exploring Operation: 48*10=480, Resulting Numbers: [480]
480,28 unequal: No Solution
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[90, 3], Operations: ['58-42=16', '48/16=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,28 unequal: No Solution
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,28 unequal: No Solution
Exploring Operation: 90*3=270, Resulting Numbers: [270]
270,28 unequal: No Solution
Exploring Operation: 90+3=93, Resulting Numbers: [93]
93,28 unequal: No Solution
Moving to Node #0,0,2
Current State: 28:[48, 74], Operations: ['58-42=16', '90-16=74']
Exploring Operation: 48+74=122, Resulting Numbers: [122]
122,28 unequal: No Solution
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Exploring Operation: 48*74=3552, Resulting Numbers: [3552]
3552,28 unequal: No Solution
Moving to Node #0,2,1
Current State: 28:[32, 90], Operations: ['90-58=32', '48+42=90']
Exploring Operation: 90-32=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 32*90=2880, Resulting Numbers: [2880]
2880,28 unequal: No Solution
Exploring Operation: 32+90=122, Resulting Numbers: [122]
122,28 unequal: No Solution
Moving to Node #0,2,0
Current State: 28:[42, 80], Operations: ['90-58=32', '48+32=80']
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 42*80=3360, Resulting Numbers: [3360]
3360,28 unequal: No Solution
Exploring Operation: 42+80=122, Resulting Numbers: [122]
122,28 unequal: No Solution
Moving to Node #0,0,3
Current State: 28:[90, 32], Operations: ['58-42=16', '48-16=32']
Exploring Operation: 90+32=122, Resulting Numbers: [122]
122,28 unequal: No Solution
Exploring Operation: 90*32=2880, Resulting Numbers: [2880]
2880,28 unequal: No Solution
Exploring Operation: 90-32=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[90, 64], Operations: ['58-42=16', '48+16=64']
Exploring Operation: 90-64=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Exploring Operation: 90*64=5760, Resulting Numbers: [5760]
5760,28 unequal: No Solution
Exploring Operation: 90+64=154, Resulting Numbers: [154]
154,28 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
95,
10,
14,
80
] | 90 | [
"80-10=70",
"70/14=5",
"95-5=90"
] | Current State: 90:[95, 10, 14, 80], Operations: []
Exploring Operation: 80-10=70, Resulting Numbers: [95, 14, 70]
Generated Node #2: [95, 14, 70] from Operation: 80-10=70
Current State: 90:[95, 14, 70], Operations: ['80-10=70']
Exploring Operation: 70/14=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 70/14=5
Current State: 90:[95, 5], Operations: ['80-10=70', '70/14=5']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[95, 10, 14, 80], Operations: []
Exploring Operation: 95-80=15, Resulting Numbers: [10, 14, 15]
Generated Node #0,0: 90:[10, 14, 15] Operation: 95-80=15
Exploring Operation: 10+80=90, Resulting Numbers: [95, 14, 90]
Generated Node #0,1: 90:[95, 14, 90] Operation: 10+80=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[10, 14, 15], Operations: ['95-80=15']
Exploring Operation: 15-10=5, Resulting Numbers: [14, 5]
Generated Node #0,0,0: 90:[14, 5] Operation: 15-10=5
Exploring Operation: 14-10=4, Resulting Numbers: [15, 4]
Generated Node #0,0,1: 90:[15, 4] Operation: 14-10=4
Moving to Node #0,0,0
Current State: 90:[14, 5], Operations: ['95-80=15', '15-10=5']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[15, 4], Operations: ['95-80=15', '14-10=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[95, 14, 90], Operations: ['10+80=90']
Exploring Operation: 95-14=81, Resulting Numbers: [90, 81]
Generated Node #0,1,0: 90:[90, 81] Operation: 95-14=81
Exploring Operation: 95-90=5, Resulting Numbers: [14, 5]
Generated Node #0,1,1: 90:[14, 5] Operation: 95-90=5
Moving to Node #0,1,1
Current State: 90:[14, 5], Operations: ['10+80=90', '95-90=5']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[90, 81], Operations: ['10+80=90', '95-14=81']
Exploring Operation: 90+81=171, Resulting Numbers: [171]
171,90 unequal: No Solution
Exploring Operation: 90-81=9, Resulting Numbers: [9]
9,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
20,
8,
29,
3
] | 91 | [
"8+29=37",
"3*37=111",
"111-20=91"
] | Current State: 91:[20, 8, 29, 3], Operations: []
Exploring Operation: 8+29=37, Resulting Numbers: [20, 3, 37]
Generated Node #2: [20, 3, 37] from Operation: 8+29=37
Current State: 91:[20, 3, 37], Operations: ['8+29=37']
Exploring Operation: 3*37=111, Resulting Numbers: [20, 111]
Generated Node #3: [20, 111] from Operation: 3*37=111
Current State: 91:[20, 111], Operations: ['8+29=37', '3*37=111']
Exploring Operation: 111-20=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[20, 8, 29, 3], Operations: []
Exploring Operation: 29-20=9, Resulting Numbers: [8, 3, 9]
Generated Node #0,0: 91:[8, 3, 9] Operation: 29-20=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[8, 3, 9], Operations: ['29-20=9']
Exploring Operation: 3+9=12, Resulting Numbers: [8, 12]
Generated Node #0,0,0: 91:[8, 12] Operation: 3+9=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[8, 12], Operations: ['29-20=9', '3+9=12']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
25,
54,
29,
45
] | 59 | [
"25*54=1350",
"1350/45=30",
"29+30=59"
] | Current State: 59:[25, 54, 29, 45], Operations: []
Exploring Operation: 25*54=1350, Resulting Numbers: [29, 45, 1350]
Generated Node #2: [29, 45, 1350] from Operation: 25*54=1350
Current State: 59:[29, 45, 1350], Operations: ['25*54=1350']
Exploring Operation: 1350/45=30, Resulting Numbers: [29, 30]
Generated Node #3: [29, 30] from Operation: 1350/45=30
Current State: 59:[29, 30], Operations: ['25*54=1350', '1350/45=30']
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[25, 54, 29, 45], Operations: []
Exploring Operation: 25+45=70, Resulting Numbers: [54, 29, 70]
Generated Node #0,0: 59:[54, 29, 70] Operation: 25+45=70
Exploring Operation: 25+29=54, Resulting Numbers: [54, 45, 54]
Generated Node #0,1: 59:[54, 45, 54] Operation: 25+29=54
Exploring Operation: 29+45=74, Resulting Numbers: [25, 54, 74]
Generated Node #0,2: 59:[25, 54, 74] Operation: 29+45=74
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[54, 45, 54], Operations: ['25+29=54']
Exploring Operation: 45+54=99, Resulting Numbers: [54, 99]
Generated Node #0,1,0: 59:[54, 99] Operation: 45+54=99
Exploring Operation: 54-45=9, Resulting Numbers: [54, 9]
Generated Node #0,1,1: 59:[54, 9] Operation: 54-45=9
Exploring Operation: 54+45=99, Resulting Numbers: [54, 99]
Generated Node #0,1,2: 59:[54, 99] Operation: 54+45=99
Moving to Node #0,1,0
Current State: 59:[54, 99], Operations: ['25+29=54', '45+54=99']
Exploring Operation: 54+99=153, Resulting Numbers: [153]
153,59 unequal: No Solution
Exploring Operation: 99-54=45, Resulting Numbers: [45]
45,59 unequal: No Solution
Exploring Operation: 54*99=5346, Resulting Numbers: [5346]
5346,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[54, 99], Operations: ['25+29=54', '54+45=99']
Exploring Operation: 54+99=153, Resulting Numbers: [153]
153,59 unequal: No Solution
Exploring Operation: 54*99=5346, Resulting Numbers: [5346]
5346,59 unequal: No Solution
Exploring Operation: 99-54=45, Resulting Numbers: [45]
45,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[54, 9], Operations: ['25+29=54', '54-45=9']
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,59 unequal: No Solution
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,59 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:[54, 29, 70], Operations: ['25+45=70']
Exploring Operation: 54+29=83, Resulting Numbers: [70, 83]
Generated Node #0,0,0: 59:[70, 83] Operation: 54+29=83
Exploring Operation: 54-29=25, Resulting Numbers: [70, 25]
Generated Node #0,0,1: 59:[70, 25] Operation: 54-29=25
Exploring Operation: 70-29=41, Resulting Numbers: [54, 41]
Generated Node #0,0,2: 59:[54, 41] Operation: 70-29=41
Moving to Node #0,0,2
Current State: 59:[54, 41], Operations: ['25+45=70', '70-29=41']
Exploring Operation: 54*41=2214, Resulting Numbers: [2214]
2214,59 unequal: No Solution
Exploring Operation: 54+41=95, Resulting Numbers: [95]
95,59 unequal: No Solution
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[70, 83], Operations: ['25+45=70', '54+29=83']
Exploring Operation: 70+83=153, Resulting Numbers: [153]
153,59 unequal: No Solution
Exploring Operation: 83-70=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Exploring Operation: 70*83=5810, Resulting Numbers: [5810]
5810,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[70, 25], Operations: ['25+45=70', '54-29=25']
Exploring Operation: 70*25=1750, Resulting Numbers: [1750]
1750,59 unequal: No Solution
Exploring Operation: 70+25=95, Resulting Numbers: [95]
95,59 unequal: No Solution
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[25, 54, 74], Operations: ['29+45=74']
Exploring Operation: 54-25=29, Resulting Numbers: [74, 29]
Generated Node #0,2,0: 59:[74, 29] Operation: 54-25=29
Exploring Operation: 25+54=79, Resulting Numbers: [74, 79]
Generated Node #0,2,1: 59:[74, 79] Operation: 25+54=79
Exploring Operation: 74-25=49, Resulting Numbers: [54, 49]
Generated Node #0,2,2: 59:[54, 49] Operation: 74-25=49
Moving to Node #0,2,2
Current State: 59:[54, 49], Operations: ['29+45=74', '74-25=49']
Exploring Operation: 54+49=103, Resulting Numbers: [103]
103,59 unequal: No Solution
Exploring Operation: 54*49=2646, Resulting Numbers: [2646]
2646,59 unequal: No Solution
Exploring Operation: 54-49=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[74, 79], Operations: ['29+45=74', '25+54=79']
Exploring Operation: 79-74=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 74+79=153, Resulting Numbers: [153]
153,59 unequal: No Solution
Exploring Operation: 74*79=5846, Resulting Numbers: [5846]
5846,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[74, 29], Operations: ['29+45=74', '54-25=29']
Exploring Operation: 74*29=2146, Resulting Numbers: [2146]
2146,59 unequal: No Solution
Exploring Operation: 74+29=103, Resulting Numbers: [103]
103,59 unequal: No Solution
Exploring Operation: 74-29=45, Resulting Numbers: [45]
45,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
34,
2,
20,
63
] | 25 | [
"34*2=68",
"63-20=43",
"68-43=25"
] | Current State: 25:[34, 2, 20, 63], Operations: []
Exploring Operation: 34*2=68, Resulting Numbers: [20, 63, 68]
Generated Node #2: [20, 63, 68] from Operation: 34*2=68
Current State: 25:[20, 63, 68], Operations: ['34*2=68']
Exploring Operation: 63-20=43, Resulting Numbers: [68, 43]
Generated Node #3: [68, 43] from Operation: 63-20=43
Current State: 25:[68, 43], Operations: ['34*2=68', '63-20=43']
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[34, 2, 20, 63], Operations: []
Exploring Operation: 63-34=29, Resulting Numbers: [2, 20, 29]
Generated Node #0,0: 25:[2, 20, 29] Operation: 63-34=29
Exploring Operation: 63-20=43, Resulting Numbers: [34, 2, 43]
Generated Node #0,1: 25:[34, 2, 43] Operation: 63-20=43
Exploring Operation: 34-2=32, Resulting Numbers: [20, 63, 32]
Generated Node #0,2: 25:[20, 63, 32] Operation: 34-2=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[2, 20, 29], Operations: ['63-34=29']
Exploring Operation: 29-20=9, Resulting Numbers: [2, 9]
Generated Node #0,0,0: 25:[2, 9] Operation: 29-20=9
Exploring Operation: 2+20=22, Resulting Numbers: [29, 22]
Generated Node #0,0,1: 25:[29, 22] Operation: 2+20=22
Exploring Operation: 29-2=27, Resulting Numbers: [20, 27]
Generated Node #0,0,2: 25:[20, 27] Operation: 29-2=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[2, 9], Operations: ['63-34=29', '29-20=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 25:[29, 22], Operations: ['63-34=29', '2+20=22']
Exploring Operation: 29*22=638, Resulting Numbers: [638]
638,25 unequal: No Solution
Exploring Operation: 29+22=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 25:[20, 27], Operations: ['63-34=29', '29-2=27']
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,25 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[34, 2, 43], Operations: ['63-20=43']
Exploring Operation: 43-34=9, Resulting Numbers: [2, 9]
Generated Node #0,1,0: 25:[2, 9] Operation: 43-34=9
Exploring Operation: 43-2=41, Resulting Numbers: [34, 41]
Generated Node #0,1,1: 25:[34, 41] Operation: 43-2=41
Exploring Operation: 34-2=32, Resulting Numbers: [43, 32]
Generated Node #0,1,2: 25:[43, 32] Operation: 34-2=32
Moving to Node #0,1,0
Current State: 25:[2, 9], Operations: ['63-20=43', '43-34=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[34, 41], Operations: ['63-20=43', '43-2=41']
Exploring Operation: 34*41=1394, Resulting Numbers: [1394]
1394,25 unequal: No Solution
Exploring Operation: 41-34=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Exploring Operation: 34+41=75, Resulting Numbers: [75]
75,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[43, 32], Operations: ['63-20=43', '34-2=32']
Exploring Operation: 43-32=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 43*32=1376, Resulting Numbers: [1376]
1376,25 unequal: No Solution
Exploring Operation: 43+32=75, Resulting Numbers: [75]
75,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[20, 63, 32], Operations: ['34-2=32']
Exploring Operation: 63-32=31, Resulting Numbers: [20, 31]
Generated Node #0,2,0: 25:[20, 31] Operation: 63-32=31
Exploring Operation: 63-20=43, Resulting Numbers: [32, 43]
Generated Node #0,2,1: 25:[32, 43] Operation: 63-20=43
Exploring Operation: 32-20=12, Resulting Numbers: [63, 12]
Generated Node #0,2,2: 25:[63, 12] Operation: 32-20=12
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 25:[20, 31], Operations: ['34-2=32', '63-32=31']
Exploring Operation: 20+31=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 20*31=620, Resulting Numbers: [620]
620,25 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 25:[32, 43], Operations: ['34-2=32', '63-20=43']
Exploring Operation: 32*43=1376, Resulting Numbers: [1376]
1376,25 unequal: No Solution
Exploring Operation: 43-32=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 32+43=75, Resulting Numbers: [75]
75,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 25:[63, 12], Operations: ['34-2=32', '32-20=12']
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,25 unequal: No Solution
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,25 unequal: No Solution
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
57,
99,
64,
64
] | 28 | [
"57+99=156",
"64+64=128",
"156-128=28"
] | Current State: 28:[57, 99, 64, 64], Operations: []
Exploring Operation: 57+99=156, Resulting Numbers: [64, 64, 156]
Generated Node #2: [64, 64, 156] from Operation: 57+99=156
Current State: 28:[64, 64, 156], Operations: ['57+99=156']
Exploring Operation: 64+64=128, Resulting Numbers: [156, 128]
Generated Node #3: [156, 128] from Operation: 64+64=128
Current State: 28:[156, 128], Operations: ['57+99=156', '64+64=128']
Exploring Operation: 156-128=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[57, 99, 64, 64], Operations: []
Exploring Operation: 99-64=35, Resulting Numbers: [57, 64, 35]
Generated Node #0,0: 28:[57, 64, 35] Operation: 99-64=35
Exploring Operation: 64/64=1, Resulting Numbers: [57, 99, 1]
Generated Node #0,1: 28:[57, 99, 1] Operation: 64/64=1
Exploring Operation: 99-64=35, Resulting Numbers: [57, 64, 35]
Generated Node #0,2: 28:[57, 64, 35] Operation: 99-64=35
Exploring Operation: 99-57=42, Resulting Numbers: [64, 64, 42]
Generated Node #0,3: 28:[64, 64, 42] Operation: 99-57=42
Moving to Node #0,0
Current State: 28:[57, 64, 35], Operations: ['99-64=35']
Exploring Operation: 57-35=22, Resulting Numbers: [64, 22]
Generated Node #0,0,0: 28:[64, 22] Operation: 57-35=22
Exploring Operation: 64-35=29, Resulting Numbers: [57, 29]
Generated Node #0,0,1: 28:[57, 29] Operation: 64-35=29
Exploring Operation: 57+64=121, Resulting Numbers: [35, 121]
Generated Node #0,0,2: 28:[35, 121] Operation: 57+64=121
Exploring Operation: 64-57=7, Resulting Numbers: [35, 7]
Generated Node #0,0,3: 28:[35, 7] Operation: 64-57=7
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 28:[35, 7], Operations: ['99-64=35', '64-57=7']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[57, 99, 64, 64], Operations: []
Exploring Operation: 99-64=35, Resulting Numbers: [57, 64, 35]
Generated Node #0,0: 28:[57, 64, 35] Operation: 99-64=35
Moving to Node #0,0
Current State: 28:[57, 64, 35], Operations: ['99-64=35']
Exploring Operation: 64-57=7, Resulting Numbers: [35, 7]
Generated Node #0,0,3: 28:[35, 7] Operation: 64-57=7
Moving to Node #0,0,3
Current State: 28:[35, 7], Operations: ['99-64=35', '64-57=7']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
15,
64,
94,
60
] | 78 | [
"15*64=960",
"960/60=16",
"94-16=78"
] | Current State: 78:[15, 64, 94, 60], Operations: []
Exploring Operation: 15*64=960, Resulting Numbers: [94, 60, 960]
Generated Node #2: [94, 60, 960] from Operation: 15*64=960
Current State: 78:[94, 60, 960], Operations: ['15*64=960']
Exploring Operation: 960/60=16, Resulting Numbers: [94, 16]
Generated Node #3: [94, 16] from Operation: 960/60=16
Current State: 78:[94, 16], Operations: ['15*64=960', '960/60=16']
Exploring Operation: 94-16=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[15, 64, 94, 60], Operations: []
Exploring Operation: 94-64=30, Resulting Numbers: [15, 60, 30]
Generated Node #0,0: 78:[15, 60, 30] Operation: 94-64=30
Exploring Operation: 60/15=4, Resulting Numbers: [64, 94, 4]
Generated Node #0,1: 78:[64, 94, 4] Operation: 60/15=4
Exploring Operation: 94-60=34, Resulting Numbers: [15, 64, 34]
Generated Node #0,2: 78:[15, 64, 34] Operation: 94-60=34
Exploring Operation: 64-60=4, Resulting Numbers: [15, 94, 4]
Generated Node #0,3: 78:[15, 94, 4] Operation: 64-60=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 78:[15, 94, 4], Operations: ['64-60=4']
Exploring Operation: 94-4=90, Resulting Numbers: [15, 90]
Generated Node #0,3,0: 78:[15, 90] Operation: 94-4=90
Exploring Operation: 94-15=79, Resulting Numbers: [4, 79]
Generated Node #0,3,1: 78:[4, 79] Operation: 94-15=79
Exploring Operation: 15+4=19, Resulting Numbers: [94, 19]
Generated Node #0,3,2: 78:[94, 19] Operation: 15+4=19
Exploring Operation: 15-4=11, Resulting Numbers: [94, 11]
Generated Node #0,3,3: 78:[94, 11] Operation: 15-4=11
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 78:[4, 79], Operations: ['64-60=4', '94-15=79']
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,78 unequal: No Solution
Exploring Operation: 4*79=316, Resulting Numbers: [316]
316,78 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,78 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 #0,3,0
Current State: 78:[15, 90], Operations: ['64-60=4', '94-4=90']
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,78 unequal: No Solution
Exploring Operation: 15+90=105, Resulting Numbers: [105]
105,78 unequal: No Solution
Exploring Operation: 90/15=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 15*90=1350, Resulting Numbers: [1350]
1350,78 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:[94, 11], Operations: ['64-60=4', '15-4=11']
Exploring Operation: 94-11=83, Resulting Numbers: [83]
83,78 unequal: No Solution
Exploring Operation: 94+11=105, Resulting Numbers: [105]
105,78 unequal: No Solution
Exploring Operation: 94*11=1034, Resulting Numbers: [1034]
1034,78 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:[94, 19], Operations: ['64-60=4', '15+4=19']
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,78 unequal: No Solution
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,78 unequal: No Solution
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,78 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 #0,2
Current State: 78:[15, 64, 34], Operations: ['94-60=34']
Exploring Operation: 15+64=79, Resulting Numbers: [34, 79]
Generated Node #0,2,0: 78:[34, 79] Operation: 15+64=79
Exploring Operation: 34-15=19, Resulting Numbers: [64, 19]
Generated Node #0,2,1: 78:[64, 19] Operation: 34-15=19
Exploring Operation: 64-34=30, Resulting Numbers: [15, 30]
Generated Node #0,2,2: 78:[15, 30] Operation: 64-34=30
Exploring Operation: 64-15=49, Resulting Numbers: [34, 49]
Generated Node #0,2,3: 78:[34, 49] Operation: 64-15=49
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 78:[34, 79], Operations: ['94-60=34', '15+64=79']
Exploring Operation: 34+79=113, Resulting Numbers: [113]
113,78 unequal: No Solution
Exploring Operation: 34*79=2686, Resulting Numbers: [2686]
2686,78 unequal: No Solution
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,78 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:[15, 30], Operations: ['94-60=34', '64-34=30']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 15*30=450, Resulting Numbers: [450]
450,78 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,78 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:[34, 49], Operations: ['94-60=34', '64-15=49']
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,78 unequal: No Solution
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 34*49=1666, Resulting Numbers: [1666]
1666,78 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:[64, 19], Operations: ['94-60=34', '34-15=19']
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,78 unequal: No Solution
Exploring Operation: 64+19=83, Resulting Numbers: [83]
83,78 unequal: No Solution
Exploring Operation: 64*19=1216, Resulting Numbers: [1216]
1216,78 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:[15, 60, 30], Operations: ['94-64=30']
Exploring Operation: 60/30=2, Resulting Numbers: [15, 2]
Generated Node #0,0,0: 78:[15, 2] Operation: 60/30=2
Exploring Operation: 15+60=75, Resulting Numbers: [30, 75]
Generated Node #0,0,1: 78:[30, 75] Operation: 15+60=75
Exploring Operation: 60-30=30, Resulting Numbers: [15, 30]
Generated Node #0,0,2: 78:[15, 30] Operation: 60-30=30
Exploring Operation: 60/15=4, Resulting Numbers: [30, 4]
Generated Node #0,0,3: 78:[30, 4] Operation: 60/15=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[15, 2], Operations: ['94-64=30', '60/30=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,78 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,78 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:[30, 4], Operations: ['94-64=30', '60/15=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,78 unequal: No Solution
Exploring Operation: 30*4=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 #0,0,2
Current State: 78:[15, 30], Operations: ['94-64=30', '60-30=30']
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,78 unequal: No Solution
Exploring Operation: 15*30=450, Resulting Numbers: [450]
450,78 unequal: No Solution
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,78 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:[30, 75], Operations: ['94-64=30', '15+60=75']
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,78 unequal: No Solution
Exploring Operation: 30+75=105, Resulting Numbers: [105]
105,78 unequal: No Solution
Exploring Operation: 30*75=2250, Resulting Numbers: [2250]
2250,78 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:[64, 94, 4], Operations: ['60/15=4']
Exploring Operation: 94-64=30, Resulting Numbers: [4, 30]
Generated Node #0,1,0: 78:[4, 30] Operation: 94-64=30
Exploring Operation: 64+4=68, Resulting Numbers: [94, 68]
Generated Node #0,1,1: 78:[94, 68] Operation: 64+4=68
Exploring Operation: 64/4=16, Resulting Numbers: [94, 16]
Generated Node #0,1,2: 78:[94, 16] Operation: 64/4=16
Exploring Operation: 94-4=90, Resulting Numbers: [64, 90]
Generated Node #0,1,3: 78:[64, 90] Operation: 94-4=90
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[4, 30], Operations: ['60/15=4', '94-64=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,78 unequal: No Solution
Exploring Operation: 4*30=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 #0,1,2
Current State: 78:[94, 16], Operations: ['60/15=4', '64/4=16']
Exploring Operation: 94*16=1504, Resulting Numbers: [1504]
1504,78 unequal: No Solution
Exploring Operation: 94-16=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[15, 64, 94, 60], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [64, 94, 4]
Generated Node #0,1: 78:[64, 94, 4] Operation: 60/15=4
Moving to Node #0,1
Current State: 78:[64, 94, 4], Operations: ['60/15=4']
Exploring Operation: 64/4=16, Resulting Numbers: [94, 16]
Generated Node #0,1,2: 78:[94, 16] Operation: 64/4=16
Moving to Node #0,1,2
Current State: 78:[94, 16], Operations: ['60/15=4', '64/4=16']
Exploring Operation: 94-16=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.940972 | hs_4 | sum_heuristic |
[
50,
32,
49,
51
] | 47 | [
"49-32=17",
"51/17=3",
"50-3=47"
] | Current State: 47:[50, 32, 49, 51], Operations: []
Exploring Operation: 49-32=17, Resulting Numbers: [50, 51, 17]
Generated Node #2: [50, 51, 17] from Operation: 49-32=17
Current State: 47:[50, 51, 17], Operations: ['49-32=17']
Exploring Operation: 51/17=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 51/17=3
Current State: 47:[50, 3], Operations: ['49-32=17', '51/17=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[50, 32, 49, 51], Operations: []
Exploring Operation: 51-32=19, Resulting Numbers: [50, 49, 19]
Generated Node #0,0: 47:[50, 49, 19] Operation: 51-32=19
Moving to Node #0,0
Current State: 47:[50, 49, 19], Operations: ['51-32=19']
Exploring Operation: 50-19=31, Resulting Numbers: [49, 31]
Generated Node #0,0,0: 47:[49, 31] Operation: 50-19=31
Moving to Node #0,0,0
Current State: 47:[49, 31], Operations: ['51-32=19', '50-19=31']
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,47 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
34,
9,
60,
34
] | 60 | [
"34-34=0",
"9*0=0",
"60+0=60"
] | Current State: 60:[34, 9, 60, 34], Operations: []
Exploring Operation: 34-34=0, Resulting Numbers: [9, 60, 0]
Generated Node #2: [9, 60, 0] from Operation: 34-34=0
Current State: 60:[9, 60, 0], Operations: ['34-34=0']
Exploring Operation: 9*0=0, Resulting Numbers: [60, 0]
Generated Node #3: [60, 0] from Operation: 9*0=0
Current State: 60:[60, 0], Operations: ['34-34=0', '9*0=0']
Exploring Operation: 60+0=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[34, 9, 60, 34], Operations: []
Exploring Operation: 34-9=25, Resulting Numbers: [60, 34, 25]
Generated Node #0,0: 60:[60, 34, 25] Operation: 34-9=25
Exploring Operation: 34-34=0, Resulting Numbers: [9, 60, 0]
Generated Node #0,1: 60:[9, 60, 0] Operation: 34-34=0
Exploring Operation: 34/34=1, Resulting Numbers: [9, 60, 1]
Generated Node #0,2: 60:[9, 60, 1] Operation: 34/34=1
Moving to Node #0,2
Current State: 60:[9, 60, 1], Operations: ['34/34=1']
Exploring Operation: 9*1=9, Resulting Numbers: [60, 9]
Generated Node #0,2,0: 60:[60, 9] Operation: 9*1=9
Exploring Operation: 9/1=9, Resulting Numbers: [60, 9]
Generated Node #0,2,1: 60:[60, 9] Operation: 9/1=9
Exploring Operation: 9+1=10, Resulting Numbers: [60, 10]
Generated Node #0,2,2: 60:[60, 10] Operation: 9+1=10
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 60:[60, 10], Operations: ['34/34=1', '9+1=10']
Exploring Operation: 60+10=70, Resulting Numbers: [70]
70,60 unequal: No Solution
Exploring Operation: 60-10=50, Resulting Numbers: [50]
50,60 unequal: No Solution
Exploring Operation: 60/10=6, Resulting Numbers: [6]
6,60 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 #0,2,0
Current State: 60:[60, 9], Operations: ['34/34=1', '9*1=9']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 60*9=540, Resulting Numbers: [540]
540,60 unequal: No Solution
Exploring Operation: 60+9=69, Resulting Numbers: [69]
69,60 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 #0,2,1
Current State: 60:[60, 9], Operations: ['34/34=1', '9/1=9']
Exploring Operation: 60*9=540, Resulting Numbers: [540]
540,60 unequal: No Solution
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 60+9=69, Resulting Numbers: [69]
69,60 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: 60:[9, 60, 0], Operations: ['34-34=0']
Exploring Operation: 9-0=9, Resulting Numbers: [60, 9]
Generated Node #0,1,0: 60:[60, 9] Operation: 9-0=9
Exploring Operation: 60+0=60, Resulting Numbers: [9, 60]
Generated Node #0,1,1: 60:[9, 60] Operation: 60+0=60
Exploring Operation: 9+0=9, Resulting Numbers: [60, 9]
Generated Node #0,1,2: 60:[60, 9] Operation: 9+0=9
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 60:[60, 9], Operations: ['34-34=0', '9-0=9']
Exploring Operation: 60*9=540, Resulting Numbers: [540]
540,60 unequal: No Solution
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 60+9=69, Resulting Numbers: [69]
69,60 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 #0,1,1
Current State: 60:[9, 60], Operations: ['34-34=0', '60+0=60']
Exploring Operation: 9*60=540, Resulting Numbers: [540]
540,60 unequal: No Solution
Exploring Operation: 9+60=69, Resulting Numbers: [69]
69,60 unequal: No Solution
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,60 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 #0,1,2
Current State: 60:[60, 9], Operations: ['34-34=0', '9+0=9']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 60*9=540, Resulting Numbers: [540]
540,60 unequal: No Solution
Exploring Operation: 60+9=69, Resulting Numbers: [69]
69,60 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: 60:[60, 34, 25], Operations: ['34-9=25']
Exploring Operation: 34+25=59, Resulting Numbers: [60, 59]
Generated Node #0,0,0: 60:[60, 59] Operation: 34+25=59
Exploring Operation: 60-34=26, Resulting Numbers: [25, 26]
Generated Node #0,0,1: 60:[25, 26] Operation: 60-34=26
Exploring Operation: 34-25=9, Resulting Numbers: [60, 9]
Generated Node #0,0,2: 60:[60, 9] Operation: 34-25=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[60, 59], Operations: ['34-9=25', '34+25=59']
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 60+59=119, Resulting Numbers: [119]
119,60 unequal: No Solution
Exploring Operation: 60*59=3540, Resulting Numbers: [3540]
3540,60 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 #0,0,2
Current State: 60:[60, 9], Operations: ['34-9=25', '34-25=9']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 60+9=69, Resulting Numbers: [69]
69,60 unequal: No Solution
Exploring Operation: 60*9=540, Resulting Numbers: [540]
540,60 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 #0,0,1
Current State: 60:[25, 26], Operations: ['34-9=25', '60-34=26']
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 25*26=650, Resulting Numbers: [650]
650,60 unequal: No Solution
Exploring Operation: 25+26=51, Resulting Numbers: [51]
51,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
4,
61,
59,
81
] | 87 | [
"4+61=65",
"81-59=22",
"65+22=87"
] | Current State: 87:[4, 61, 59, 81], Operations: []
Exploring Operation: 4+61=65, Resulting Numbers: [59, 81, 65]
Generated Node #2: [59, 81, 65] from Operation: 4+61=65
Current State: 87:[59, 81, 65], Operations: ['4+61=65']
Exploring Operation: 81-59=22, Resulting Numbers: [65, 22]
Generated Node #3: [65, 22] from Operation: 81-59=22
Current State: 87:[65, 22], Operations: ['4+61=65', '81-59=22']
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[4, 61, 59, 81], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [4, 81, 2]
Generated Node #0,0: 87:[4, 81, 2] Operation: 61-59=2
Exploring Operation: 61+59=120, Resulting Numbers: [4, 81, 120]
Generated Node #0,1: 87:[4, 81, 120] Operation: 61+59=120
Exploring Operation: 81-59=22, Resulting Numbers: [4, 61, 22]
Generated Node #0,2: 87:[4, 61, 22] Operation: 81-59=22
Exploring Operation: 81-61=20, Resulting Numbers: [4, 59, 20]
Generated Node #0,3: 87:[4, 59, 20] Operation: 81-61=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[4, 81, 2], Operations: ['61-59=2']
Exploring Operation: 4+81=85, Resulting Numbers: [2, 85]
Generated Node #0,0,0: 87:[2, 85] Operation: 4+81=85
Exploring Operation: 4-2=2, Resulting Numbers: [81, 2]
Generated Node #0,0,1: 87:[81, 2] Operation: 4-2=2
Exploring Operation: 81+2=83, Resulting Numbers: [4, 83]
Generated Node #0,0,2: 87:[4, 83] Operation: 81+2=83
Exploring Operation: 4/2=2, Resulting Numbers: [81, 2]
Generated Node #0,0,3: 87:[81, 2] Operation: 4/2=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[2, 85], Operations: ['61-59=2', '4+81=85']
Exploring Operation: 2*85=170, Resulting Numbers: [170]
170,87 unequal: No Solution
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[4, 61, 59, 81], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [4, 81, 2]
Generated Node #0,0: 87:[4, 81, 2] Operation: 61-59=2
Moving to Node #0,0
Current State: 87:[4, 81, 2], Operations: ['61-59=2']
Exploring Operation: 4+81=85, Resulting Numbers: [2, 85]
Generated Node #0,0,0: 87:[2, 85] Operation: 4+81=85
Moving to Node #0,0,0
Current State: 87:[2, 85], Operations: ['61-59=2', '4+81=85']
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
60,
89,
40,
91
] | 40 | [
"60-40=20",
"91-89=2",
"20*2=40"
] | Current State: 40:[60, 89, 40, 91], Operations: []
Exploring Operation: 60-40=20, Resulting Numbers: [89, 91, 20]
Generated Node #2: [89, 91, 20] from Operation: 60-40=20
Current State: 40:[89, 91, 20], Operations: ['60-40=20']
Exploring Operation: 91-89=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 91-89=2
Current State: 40:[20, 2], Operations: ['60-40=20', '91-89=2']
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[60, 89, 40, 91], Operations: []
Exploring Operation: 91-60=31, Resulting Numbers: [89, 40, 31]
Generated Node #0,0: 40:[89, 40, 31] Operation: 91-60=31
Exploring Operation: 91-89=2, Resulting Numbers: [60, 40, 2]
Generated Node #0,1: 40:[60, 40, 2] Operation: 91-89=2
Moving to Node #0,1
Current State: 40:[60, 40, 2], Operations: ['91-89=2']
Exploring Operation: 60-40=20, Resulting Numbers: [2, 20]
Generated Node #0,1,0: 40:[2, 20] Operation: 60-40=20
Exploring Operation: 60/2=30, Resulting Numbers: [40, 30]
Generated Node #0,1,1: 40:[40, 30] Operation: 60/2=30
Moving to Node #0,0
Current State: 40:[89, 40, 31], Operations: ['91-60=31']
Exploring Operation: 89-31=58, Resulting Numbers: [40, 58]
Generated Node #0,0,0: 40:[40, 58] Operation: 89-31=58
Exploring Operation: 89-40=49, Resulting Numbers: [31, 49]
Generated Node #0,0,1: 40:[31, 49] Operation: 89-40=49
Moving to Node #0,1,0
Current State: 40:[2, 20], Operations: ['91-89=2', '60-40=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[60, 89, 40, 91], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [60, 40, 2]
Generated Node #0,1: 40:[60, 40, 2] Operation: 91-89=2
Moving to Node #0,1
Current State: 40:[60, 40, 2], Operations: ['91-89=2']
Exploring Operation: 60-40=20, Resulting Numbers: [2, 20]
Generated Node #0,1,0: 40:[2, 20] Operation: 60-40=20
Moving to Node #0,1,0
Current State: 40:[2, 20], Operations: ['91-89=2', '60-40=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
56,
2,
85,
66
] | 24 | [
"56+66=122",
"122/2=61",
"85-61=24"
] | Current State: 24:[56, 2, 85, 66], Operations: []
Exploring Operation: 56+66=122, Resulting Numbers: [2, 85, 122]
Generated Node #2: [2, 85, 122] from Operation: 56+66=122
Current State: 24:[2, 85, 122], Operations: ['56+66=122']
Exploring Operation: 122/2=61, Resulting Numbers: [85, 61]
Generated Node #3: [85, 61] from Operation: 122/2=61
Current State: 24:[85, 61], Operations: ['56+66=122', '122/2=61']
Exploring Operation: 85-61=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[56, 2, 85, 66], Operations: []
Exploring Operation: 66/2=33, Resulting Numbers: [56, 85, 33]
Generated Node #0,0: 24:[56, 85, 33] Operation: 66/2=33
Exploring Operation: 85-66=19, Resulting Numbers: [56, 2, 19]
Generated Node #0,1: 24:[56, 2, 19] Operation: 85-66=19
Exploring Operation: 66-56=10, Resulting Numbers: [2, 85, 10]
Generated Node #0,2: 24:[2, 85, 10] Operation: 66-56=10
Exploring Operation: 85-56=29, Resulting Numbers: [2, 66, 29]
Generated Node #0,3: 24:[2, 66, 29] Operation: 85-56=29
Moving to Node #0,1
Current State: 24:[56, 2, 19], Operations: ['85-66=19']
Exploring Operation: 2+19=21, Resulting Numbers: [56, 21]
Generated Node #0,1,0: 24:[56, 21] Operation: 2+19=21
Exploring Operation: 56-19=37, Resulting Numbers: [2, 37]
Generated Node #0,1,1: 24:[2, 37] Operation: 56-19=37
Exploring Operation: 56-2=54, Resulting Numbers: [19, 54]
Generated Node #0,1,2: 24:[19, 54] Operation: 56-2=54
Exploring Operation: 56/2=28, Resulting Numbers: [19, 28]
Generated Node #0,1,3: 24:[19, 28] Operation: 56/2=28
Moving to Node #0,3
Current State: 24:[2, 66, 29], Operations: ['85-56=29']
Exploring Operation: 66-29=37, Resulting Numbers: [2, 37]
Generated Node #0,3,0: 24:[2, 37] Operation: 66-29=37
Exploring Operation: 29-2=27, Resulting Numbers: [66, 27]
Generated Node #0,3,1: 24:[66, 27] Operation: 29-2=27
Exploring Operation: 66/2=33, Resulting Numbers: [29, 33]
Generated Node #0,3,2: 24:[29, 33] Operation: 66/2=33
Exploring Operation: 66-2=64, Resulting Numbers: [29, 64]
Generated Node #0,3,3: 24:[29, 64] Operation: 66-2=64
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 24:[2, 37], Operations: ['85-56=29', '66-29=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,24 unequal: No Solution
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,24 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 24:[29, 33], Operations: ['85-56=29', '66/2=33']
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,24 unequal: No Solution
Exploring Operation: 29*33=957, Resulting Numbers: [957]
957,24 unequal: No Solution
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 24:[66, 27], Operations: ['85-56=29', '29-2=27']
Exploring Operation: 66*27=1782, Resulting Numbers: [1782]
1782,24 unequal: No Solution
Exploring Operation: 66+27=93, Resulting Numbers: [93]
93,24 unequal: No Solution
Exploring Operation: 66-27=39, Resulting Numbers: [39]
39,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 24:[29, 64], Operations: ['85-56=29', '66-2=64']
Exploring Operation: 29*64=1856, Resulting Numbers: [1856]
1856,24 unequal: No Solution
Exploring Operation: 29+64=93, Resulting Numbers: [93]
93,24 unequal: No Solution
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 24:[2, 85, 10], Operations: ['66-56=10']
Exploring Operation: 10-2=8, Resulting Numbers: [85, 8]
Generated Node #0,2,0: 24:[85, 8] Operation: 10-2=8
Exploring Operation: 85-2=83, Resulting Numbers: [10, 83]
Generated Node #0,2,1: 24:[10, 83] Operation: 85-2=83
Exploring Operation: 2+10=12, Resulting Numbers: [85, 12]
Generated Node #0,2,2: 24:[85, 12] Operation: 2+10=12
Exploring Operation: 85-10=75, Resulting Numbers: [2, 75]
Generated Node #0,2,3: 24:[2, 75] Operation: 85-10=75
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 24:[2, 75], Operations: ['66-56=10', '85-10=75']
Exploring Operation: 2*75=150, Resulting Numbers: [150]
150,24 unequal: No Solution
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,24 unequal: No Solution
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 24:[85, 8], Operations: ['66-56=10', '10-2=8']
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,24 unequal: No Solution
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,24 unequal: No Solution
Exploring Operation: 85*8=680, Resulting Numbers: [680]
680,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 24:[10, 83], Operations: ['66-56=10', '85-2=83']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 10+83=93, Resulting Numbers: [93]
93,24 unequal: No Solution
Exploring Operation: 10*83=830, Resulting Numbers: [830]
830,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 24:[85, 12], Operations: ['66-56=10', '2+10=12']
Exploring Operation: 85-12=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 85*12=1020, Resulting Numbers: [1020]
1020,24 unequal: No Solution
Exploring Operation: 85+12=97, Resulting Numbers: [97]
97,24 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: 24:[56, 85, 33], Operations: ['66/2=33']
Exploring Operation: 85-56=29, Resulting Numbers: [33, 29]
Generated Node #0,0,0: 24:[33, 29] Operation: 85-56=29
Exploring Operation: 85-33=52, Resulting Numbers: [56, 52]
Generated Node #0,0,1: 24:[56, 52] Operation: 85-33=52
Exploring Operation: 56-33=23, Resulting Numbers: [85, 23]
Generated Node #0,0,2: 24:[85, 23] Operation: 56-33=23
Exploring Operation: 56+85=141, Resulting Numbers: [33, 141]
Generated Node #0,0,3: 24:[33, 141] Operation: 56+85=141
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[33, 29], Operations: ['66/2=33', '85-56=29']
Exploring Operation: 33+29=62, Resulting Numbers: [62]
62,24 unequal: No Solution
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 33*29=957, Resulting Numbers: [957]
957,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 24:[56, 52], Operations: ['66/2=33', '85-33=52']
Exploring Operation: 56*52=2912, Resulting Numbers: [2912]
2912,24 unequal: No Solution
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 56+52=108, Resulting Numbers: [108]
108,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 24:[85, 23], Operations: ['66/2=33', '56-33=23']
Exploring Operation: 85*23=1955, Resulting Numbers: [1955]
1955,24 unequal: No Solution
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,24 unequal: No Solution
Exploring Operation: 85+23=108, Resulting Numbers: [108]
108,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 24:[33, 141], Operations: ['66/2=33', '56+85=141']
Exploring Operation: 33+141=174, Resulting Numbers: [174]
174,24 unequal: No Solution
Exploring Operation: 141-33=108, Resulting Numbers: [108]
108,24 unequal: No Solution
Exploring Operation: 33*141=4653, Resulting Numbers: [4653]
4653,24 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: 24:[19, 28], Operations: ['85-66=19', '56/2=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,24 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[2, 37], Operations: ['85-66=19', '56-19=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,24 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,24 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[19, 54], Operations: ['85-66=19', '56-2=54']
Exploring Operation: 19*54=1026, Resulting Numbers: [1026]
1026,24 unequal: No Solution
Exploring Operation: 19+54=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[56, 21], Operations: ['85-66=19', '2+19=21']
Exploring Operation: 56*21=1176, Resulting Numbers: [1176]
1176,24 unequal: No Solution
Exploring Operation: 56+21=77, Resulting Numbers: [77]
77,24 unequal: No Solution
Exploring Operation: 56-21=35, Resulting Numbers: [35]
35,24 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
56,
70,
42,
95
] | 97 | [
"70+42=112",
"112/56=2",
"95+2=97"
] | Current State: 97:[56, 70, 42, 95], Operations: []
Exploring Operation: 70+42=112, Resulting Numbers: [56, 95, 112]
Generated Node #2: [56, 95, 112] from Operation: 70+42=112
Current State: 97:[56, 95, 112], Operations: ['70+42=112']
Exploring Operation: 112/56=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 112/56=2
Current State: 97:[95, 2], Operations: ['70+42=112', '112/56=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[56, 70, 42, 95], Operations: []
Exploring Operation: 70+42=112, Resulting Numbers: [56, 95, 112]
Generated Node #0,0: 97:[56, 95, 112] Operation: 70+42=112
Exploring Operation: 56+70=126, Resulting Numbers: [42, 95, 126]
Generated Node #0,1: 97:[42, 95, 126] Operation: 56+70=126
Exploring Operation: 42+95=137, Resulting Numbers: [56, 70, 137]
Generated Node #0,2: 97:[56, 70, 137] Operation: 42+95=137
Exploring Operation: 56+42=98, Resulting Numbers: [70, 95, 98]
Generated Node #0,3: 97:[70, 95, 98] Operation: 56+42=98
Moving to Node #0,3
Current State: 97:[70, 95, 98], Operations: ['56+42=98']
Exploring Operation: 70+98=168, Resulting Numbers: [95, 168]
Generated Node #0,3,0: 97:[95, 168] Operation: 70+98=168
Exploring Operation: 95-70=25, Resulting Numbers: [98, 25]
Generated Node #0,3,1: 97:[98, 25] Operation: 95-70=25
Exploring Operation: 98-70=28, Resulting Numbers: [95, 28]
Generated Node #0,3,2: 97:[95, 28] Operation: 98-70=28
Exploring Operation: 70+95=165, Resulting Numbers: [98, 165]
Generated Node #0,3,3: 97:[98, 165] Operation: 70+95=165
Moving to Node #0,0
Current State: 97:[56, 95, 112], Operations: ['70+42=112']
Exploring Operation: 56+95=151, Resulting Numbers: [112, 151]
Generated Node #0,0,0: 97:[112, 151] Operation: 56+95=151
Exploring Operation: 95-56=39, Resulting Numbers: [112, 39]
Generated Node #0,0,1: 97:[112, 39] Operation: 95-56=39
Exploring Operation: 112-56=56, Resulting Numbers: [95, 56]
Generated Node #0,0,2: 97:[95, 56] Operation: 112-56=56
Exploring Operation: 56+112=168, Resulting Numbers: [95, 168]
Generated Node #0,0,3: 97:[95, 168] Operation: 56+112=168
Moving to Node #0,1
Current State: 97:[42, 95, 126], Operations: ['56+70=126']
Exploring Operation: 95-42=53, Resulting Numbers: [126, 53]
Generated Node #0,1,0: 97:[126, 53] Operation: 95-42=53
Exploring Operation: 42+126=168, Resulting Numbers: [95, 168]
Generated Node #0,1,1: 97:[95, 168] Operation: 42+126=168
Exploring Operation: 42+95=137, Resulting Numbers: [126, 137]
Generated Node #0,1,2: 97:[126, 137] Operation: 42+95=137
Exploring Operation: 126-42=84, Resulting Numbers: [95, 84]
Generated Node #0,1,3: 97:[95, 84] Operation: 126-42=84
Moving to Node #0,2
Current State: 97:[56, 70, 137], Operations: ['42+95=137']
Exploring Operation: 70-56=14, Resulting Numbers: [137, 14]
Generated Node #0,2,0: 97:[137, 14] Operation: 70-56=14
Exploring Operation: 56+70=126, Resulting Numbers: [137, 126]
Generated Node #0,2,1: 97:[137, 126] Operation: 56+70=126
Exploring Operation: 137-56=81, Resulting Numbers: [70, 81]
Generated Node #0,2,2: 97:[70, 81] Operation: 137-56=81
Exploring Operation: 137-70=67, Resulting Numbers: [56, 67]
Generated Node #0,2,3: 97:[56, 67] Operation: 137-70=67
Moving to Node #0,1,3
Current State: 97:[95, 84], Operations: ['56+70=126', '126-42=84']
Exploring Operation: 95+84=179, Resulting Numbers: [179]
179,97 unequal: No Solution
Exploring Operation: 95-84=11, Resulting Numbers: [11]
11,97 unequal: No Solution
Exploring Operation: 95*84=7980, Resulting Numbers: [7980]
7980,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[70, 81], Operations: ['42+95=137', '137-56=81']
Exploring Operation: 70+81=151, Resulting Numbers: [151]
151,97 unequal: No Solution
Exploring Operation: 81-70=11, Resulting Numbers: [11]
11,97 unequal: No Solution
Exploring Operation: 70*81=5670, Resulting Numbers: [5670]
5670,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[95, 56], Operations: ['70+42=112', '112-56=56']
Exploring Operation: 95*56=5320, Resulting Numbers: [5320]
5320,97 unequal: No Solution
Exploring Operation: 95+56=151, Resulting Numbers: [151]
151,97 unequal: No Solution
Exploring Operation: 95-56=39, Resulting Numbers: [39]
39,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[137, 126], Operations: ['42+95=137', '56+70=126']
Exploring Operation: 137*126=17262, Resulting Numbers: [17262]
17262,97 unequal: No Solution
Exploring Operation: 137+126=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Exploring Operation: 137-126=11, Resulting Numbers: [11]
11,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[112, 151], Operations: ['70+42=112', '56+95=151']
Exploring Operation: 112*151=16912, Resulting Numbers: [16912]
16912,97 unequal: No Solution
Exploring Operation: 112+151=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Exploring Operation: 151-112=39, Resulting Numbers: [39]
39,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[126, 137], Operations: ['56+70=126', '42+95=137']
Exploring Operation: 137-126=11, Resulting Numbers: [11]
11,97 unequal: No Solution
Exploring Operation: 126*137=17262, Resulting Numbers: [17262]
17262,97 unequal: No Solution
Exploring Operation: 126+137=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[98, 165], Operations: ['56+42=98', '70+95=165']
Exploring Operation: 98+165=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Exploring Operation: 98*165=16170, Resulting Numbers: [16170]
16170,97 unequal: No Solution
Exploring Operation: 165-98=67, Resulting Numbers: [67]
67,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[56, 67], Operations: ['42+95=137', '137-70=67']
Exploring Operation: 67-56=11, Resulting Numbers: [11]
11,97 unequal: No Solution
Exploring Operation: 56*67=3752, Resulting Numbers: [3752]
3752,97 unequal: No Solution
Exploring Operation: 56+67=123, Resulting Numbers: [123]
123,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[95, 28], Operations: ['56+42=98', '98-70=28']
Exploring Operation: 95+28=123, Resulting Numbers: [123]
123,97 unequal: No Solution
Exploring Operation: 95*28=2660, Resulting Numbers: [2660]
2660,97 unequal: No Solution
Exploring Operation: 95-28=67, Resulting Numbers: [67]
67,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[112, 39], Operations: ['70+42=112', '95-56=39']
Exploring Operation: 112*39=4368, Resulting Numbers: [4368]
4368,97 unequal: No Solution
Exploring Operation: 112+39=151, Resulting Numbers: [151]
151,97 unequal: No Solution
Exploring Operation: 112-39=73, Resulting Numbers: [73]
73,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[95, 168], Operations: ['56+42=98', '70+98=168']
Exploring Operation: 95*168=15960, Resulting Numbers: [15960]
15960,97 unequal: No Solution
Exploring Operation: 95+168=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Exploring Operation: 168-95=73, Resulting Numbers: [73]
73,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[95, 168], Operations: ['70+42=112', '56+112=168']
Exploring Operation: 168-95=73, Resulting Numbers: [73]
73,97 unequal: No Solution
Exploring Operation: 95*168=15960, Resulting Numbers: [15960]
15960,97 unequal: No Solution
Exploring Operation: 95+168=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[126, 53], Operations: ['56+70=126', '95-42=53']
Exploring Operation: 126+53=179, Resulting Numbers: [179]
179,97 unequal: No Solution
Exploring Operation: 126*53=6678, Resulting Numbers: [6678]
6678,97 unequal: No Solution
Exploring Operation: 126-53=73, Resulting Numbers: [73]
73,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[98, 25], Operations: ['56+42=98', '95-70=25']
Exploring Operation: 98-25=73, Resulting Numbers: [73]
73,97 unequal: No Solution
Exploring Operation: 98*25=2450, Resulting Numbers: [2450]
2450,97 unequal: No Solution
Exploring Operation: 98+25=123, Resulting Numbers: [123]
123,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[95, 168], Operations: ['56+70=126', '42+126=168']
Exploring Operation: 168-95=73, Resulting Numbers: [73]
73,97 unequal: No Solution
Exploring Operation: 95*168=15960, Resulting Numbers: [15960]
15960,97 unequal: No Solution
Exploring Operation: 95+168=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[137, 14], Operations: ['42+95=137', '70-56=14']
Exploring Operation: 137*14=1918, Resulting Numbers: [1918]
1918,97 unequal: No Solution
Exploring Operation: 137+14=151, Resulting Numbers: [151]
151,97 unequal: No Solution
Exploring Operation: 137-14=123, Resulting Numbers: [123]
123,97 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
51,
96,
4,
91
] | 86 | [
"91-51=40",
"40/4=10",
"96-10=86"
] | Current State: 86:[51, 96, 4, 91], Operations: []
Exploring Operation: 91-51=40, Resulting Numbers: [96, 4, 40]
Generated Node #2: [96, 4, 40] from Operation: 91-51=40
Current State: 86:[96, 4, 40], Operations: ['91-51=40']
Exploring Operation: 40/4=10, Resulting Numbers: [96, 10]
Generated Node #3: [96, 10] from Operation: 40/4=10
Current State: 86:[96, 10], Operations: ['91-51=40', '40/4=10']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[51, 96, 4, 91], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [51, 4, 5]
Generated Node #0,0: 86:[51, 4, 5] Operation: 96-91=5
Exploring Operation: 51-4=47, Resulting Numbers: [96, 91, 47]
Generated Node #0,1: 86:[96, 91, 47] Operation: 51-4=47
Exploring Operation: 96-51=45, Resulting Numbers: [4, 91, 45]
Generated Node #0,2: 86:[4, 91, 45] Operation: 96-51=45
Exploring Operation: 91-51=40, Resulting Numbers: [96, 4, 40]
Generated Node #0,3: 86:[96, 4, 40] Operation: 91-51=40
Moving to Node #0,2
Current State: 86:[4, 91, 45], Operations: ['96-51=45']
Exploring Operation: 91-4=87, Resulting Numbers: [45, 87]
Generated Node #0,2,0: 86:[45, 87] Operation: 91-4=87
Exploring Operation: 4+91=95, Resulting Numbers: [45, 95]
Generated Node #0,2,1: 86:[45, 95] Operation: 4+91=95
Exploring Operation: 91-45=46, Resulting Numbers: [4, 46]
Generated Node #0,2,2: 86:[4, 46] Operation: 91-45=46
Exploring Operation: 45-4=41, Resulting Numbers: [91, 41]
Generated Node #0,2,3: 86:[91, 41] Operation: 45-4=41
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 86:[45, 87], Operations: ['96-51=45', '91-4=87']
Exploring Operation: 45*87=3915, Resulting Numbers: [3915]
3915,86 unequal: No Solution
Exploring Operation: 45+87=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Exploring Operation: 87-45=42, Resulting Numbers: [42]
42,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 86:[4, 46], Operations: ['96-51=45', '91-45=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 86:[91, 41], Operations: ['96-51=45', '45-4=41']
Exploring Operation: 91*41=3731, Resulting Numbers: [3731]
3731,86 unequal: No Solution
Exploring Operation: 91+41=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Exploring Operation: 91-41=50, Resulting Numbers: [50]
50,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 86:[45, 95], Operations: ['96-51=45', '4+91=95']
Exploring Operation: 95-45=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 45+95=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Exploring Operation: 45*95=4275, Resulting Numbers: [4275]
4275,86 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: 86:[51, 4, 5], Operations: ['96-91=5']
Exploring Operation: 51+4=55, Resulting Numbers: [5, 55]
Generated Node #0,0,0: 86:[5, 55] Operation: 51+4=55
Exploring Operation: 51-4=47, Resulting Numbers: [5, 47]
Generated Node #0,0,1: 86:[5, 47] Operation: 51-4=47
Exploring Operation: 5-4=1, Resulting Numbers: [51, 1]
Generated Node #0,0,2: 86:[51, 1] Operation: 5-4=1
Exploring Operation: 51-5=46, Resulting Numbers: [4, 46]
Generated Node #0,0,3: 86:[4, 46] Operation: 51-5=46
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 86:[4, 46], Operations: ['96-91=5', '51-5=46']
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,86 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[5, 47], Operations: ['96-91=5', '51-4=47']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 5*47=235, Resulting Numbers: [235]
235,86 unequal: No Solution
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[51, 1], Operations: ['96-91=5', '5-4=1']
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 51+1=52, Resulting Numbers: [52]
52,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[5, 55], Operations: ['96-91=5', '51+4=55']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 5*55=275, Resulting Numbers: [275]
275,86 unequal: No Solution
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,86 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: 86:[96, 4, 40], Operations: ['91-51=40']
Exploring Operation: 96-4=92, Resulting Numbers: [40, 92]
Generated Node #0,3,0: 86:[40, 92] Operation: 96-4=92
Exploring Operation: 4+40=44, Resulting Numbers: [96, 44]
Generated Node #0,3,1: 86:[96, 44] Operation: 4+40=44
Exploring Operation: 96-40=56, Resulting Numbers: [4, 56]
Generated Node #0,3,2: 86:[4, 56] Operation: 96-40=56
Exploring Operation: 96+4=100, Resulting Numbers: [40, 100]
Generated Node #0,3,3: 86:[40, 100] Operation: 96+4=100
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 86:[40, 92], Operations: ['91-51=40', '96-4=92']
Exploring Operation: 40+92=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,86 unequal: No Solution
Exploring Operation: 40*92=3680, Resulting Numbers: [3680]
3680,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 86:[96, 44], Operations: ['91-51=40', '4+40=44']
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,86 unequal: No Solution
Exploring Operation: 96*44=4224, Resulting Numbers: [4224]
4224,86 unequal: No Solution
Exploring Operation: 96+44=140, Resulting Numbers: [140]
140,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 86:[4, 56], Operations: ['91-51=40', '96-40=56']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 4+56=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,86 unequal: No Solution
Exploring Operation: 4*56=224, Resulting Numbers: [224]
224,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 86:[40, 100], Operations: ['91-51=40', '96+4=100']
Exploring Operation: 40+100=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Exploring Operation: 100-40=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Exploring Operation: 40*100=4000, Resulting Numbers: [4000]
4000,86 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: 86:[96, 91, 47], Operations: ['51-4=47']
Exploring Operation: 96-47=49, Resulting Numbers: [91, 49]
Generated Node #0,1,0: 86:[91, 49] Operation: 96-47=49
Exploring Operation: 91-47=44, Resulting Numbers: [96, 44]
Generated Node #0,1,1: 86:[96, 44] Operation: 91-47=44
Exploring Operation: 96+47=143, Resulting Numbers: [91, 143]
Generated Node #0,1,2: 86:[91, 143] Operation: 96+47=143
Exploring Operation: 96-91=5, Resulting Numbers: [47, 5]
Generated Node #0,1,3: 86:[47, 5] Operation: 96-91=5
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 86:[47, 5], Operations: ['51-4=47', '96-91=5']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,86 unequal: No Solution
Exploring Operation: 47*5=235, Resulting Numbers: [235]
235,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[91, 49], Operations: ['51-4=47', '96-47=49']
Exploring Operation: 91*49=4459, Resulting Numbers: [4459]
4459,86 unequal: No Solution
Exploring Operation: 91-49=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 91+49=140, Resulting Numbers: [140]
140,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[96, 44], Operations: ['51-4=47', '91-47=44']
Exploring Operation: 96+44=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Exploring Operation: 96*44=4224, Resulting Numbers: [4224]
4224,86 unequal: No Solution
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[91, 143], Operations: ['51-4=47', '96+47=143']
Exploring Operation: 91*143=13013, Resulting Numbers: [13013]
13013,86 unequal: No Solution
Exploring Operation: 91+143=234, Resulting Numbers: [234]
234,86 unequal: No Solution
Exploring Operation: 143-91=52, Resulting Numbers: [52]
52,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
69,
53,
16,
73
] | 11 | [
"73-69=4",
"16*4=64",
"64-53=11"
] | Current State: 11:[69, 53, 16, 73], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [53, 16, 4]
Generated Node #2: [53, 16, 4] from Operation: 73-69=4
Current State: 11:[53, 16, 4], Operations: ['73-69=4']
Exploring Operation: 16*4=64, Resulting Numbers: [53, 64]
Generated Node #3: [53, 64] from Operation: 16*4=64
Current State: 11:[53, 64], Operations: ['73-69=4', '16*4=64']
Exploring Operation: 64-53=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[69, 53, 16, 73], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [53, 16, 4]
Generated Node #0,0: 11:[53, 16, 4] Operation: 73-69=4
Exploring Operation: 69-53=16, Resulting Numbers: [16, 73, 16]
Generated Node #0,1: 11:[16, 73, 16] Operation: 69-53=16
Moving to Node #0,0
Current State: 11:[53, 16, 4], Operations: ['73-69=4']
Exploring Operation: 53-16=37, Resulting Numbers: [4, 37]
Generated Node #0,0,0: 11:[4, 37] Operation: 53-16=37
Exploring Operation: 53-4=49, Resulting Numbers: [16, 49]
Generated Node #0,0,1: 11:[16, 49] Operation: 53-4=49
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[4, 37], Operations: ['73-69=4', '53-16=37']
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,11 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,11 unequal: No Solution
No 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: 11:[16, 49], Operations: ['73-69=4', '53-4=49']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,11 unequal: No Solution
Exploring Operation: 16+49=65, Resulting Numbers: [65]
65,11 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: 11:[16, 73, 16], Operations: ['69-53=16']
Exploring Operation: 73-16=57, Resulting Numbers: [16, 57]
Generated Node #0,1,0: 11:[16, 57] Operation: 73-16=57
Exploring Operation: 73-16=57, Resulting Numbers: [16, 57]
Generated Node #0,1,1: 11:[16, 57] Operation: 73-16=57
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[16, 57], Operations: ['69-53=16', '73-16=57']
Exploring Operation: 16+57=73, Resulting Numbers: [73]
73,11 unequal: No Solution
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,11 unequal: No Solution
No 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: 11:[16, 57], Operations: ['69-53=16', '73-16=57']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,11 unequal: No Solution
Exploring Operation: 16+57=73, Resulting Numbers: [73]
73,11 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 |
[
5,
98,
81,
16
] | 98 | [
"5*16=80",
"81-80=1",
"98*1=98"
] | Current State: 98:[5, 98, 81, 16], Operations: []
Exploring Operation: 5*16=80, Resulting Numbers: [98, 81, 80]
Generated Node #2: [98, 81, 80] from Operation: 5*16=80
Current State: 98:[98, 81, 80], Operations: ['5*16=80']
Exploring Operation: 81-80=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 81-80=1
Current State: 98:[98, 1], Operations: ['5*16=80', '81-80=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[5, 98, 81, 16], Operations: []
Exploring Operation: 81-16=65, Resulting Numbers: [5, 98, 65]
Generated Node #0,0: 98:[5, 98, 65] Operation: 81-16=65
Exploring Operation: 5+81=86, Resulting Numbers: [98, 16, 86]
Generated Node #0,1: 98:[98, 16, 86] Operation: 5+81=86
Exploring Operation: 16-5=11, Resulting Numbers: [98, 81, 11]
Generated Node #0,2: 98:[98, 81, 11] Operation: 16-5=11
Exploring Operation: 98-81=17, Resulting Numbers: [5, 16, 17]
Generated Node #0,3: 98:[5, 16, 17] Operation: 98-81=17
Exploring Operation: 81+16=97, Resulting Numbers: [5, 98, 97]
Generated Node #0,4: 98:[5, 98, 97] Operation: 81+16=97
Start Sub Search at level 1: Moving to Node #0,4
Current State: 98:[5, 98, 97], Operations: ['81+16=97']
Exploring Operation: 5+98=103, Resulting Numbers: [97, 103]
Generated Node #0,4,0: 98:[97, 103] Operation: 5+98=103
Exploring Operation: 5+97=102, Resulting Numbers: [98, 102]
Generated Node #0,4,1: 98:[98, 102] Operation: 5+97=102
Exploring Operation: 98-5=93, Resulting Numbers: [97, 93]
Generated Node #0,4,2: 98:[97, 93] Operation: 98-5=93
Exploring Operation: 97-5=92, Resulting Numbers: [98, 92]
Generated Node #0,4,3: 98:[98, 92] Operation: 97-5=92
Exploring Operation: 98-97=1, Resulting Numbers: [5, 1]
Generated Node #0,4,4: 98:[5, 1] Operation: 98-97=1
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 98:[5, 1], Operations: ['81+16=97', '98-97=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,98 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 98:[98, 102], Operations: ['81+16=97', '5+97=102']
Exploring Operation: 98+102=200, Resulting Numbers: [200]
200,98 unequal: No Solution
Exploring Operation: 98*102=9996, Resulting Numbers: [9996]
9996,98 unequal: No Solution
Exploring Operation: 102-98=4, Resulting Numbers: [4]
4,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 98:[97, 103], Operations: ['81+16=97', '5+98=103']
Exploring Operation: 97*103=9991, Resulting Numbers: [9991]
9991,98 unequal: No Solution
Exploring Operation: 103-97=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 97+103=200, Resulting Numbers: [200]
200,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 98:[97, 93], Operations: ['81+16=97', '98-5=93']
Exploring Operation: 97+93=190, Resulting Numbers: [190]
190,98 unequal: No Solution
Exploring Operation: 97*93=9021, Resulting Numbers: [9021]
9021,98 unequal: No Solution
Exploring Operation: 97-93=4, Resulting Numbers: [4]
4,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 98:[98, 92], Operations: ['81+16=97', '97-5=92']
Exploring Operation: 98+92=190, Resulting Numbers: [190]
190,98 unequal: No Solution
Exploring Operation: 98-92=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 98*92=9016, Resulting Numbers: [9016]
9016,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[5, 16, 17], Operations: ['98-81=17']
Exploring Operation: 5+17=22, Resulting Numbers: [16, 22]
Generated Node #0,3,0: 98:[16, 22] Operation: 5+17=22
Exploring Operation: 5+16=21, Resulting Numbers: [17, 21]
Generated Node #0,3,1: 98:[17, 21] Operation: 5+16=21
Exploring Operation: 16-5=11, Resulting Numbers: [17, 11]
Generated Node #0,3,2: 98:[17, 11] Operation: 16-5=11
Exploring Operation: 17-5=12, Resulting Numbers: [16, 12]
Generated Node #0,3,3: 98:[16, 12] Operation: 17-5=12
Exploring Operation: 17-16=1, Resulting Numbers: [5, 1]
Generated Node #0,3,4: 98:[5, 1] Operation: 17-16=1
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 98:[5, 1], Operations: ['98-81=17', '17-16=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,98 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 98:[16, 12], Operations: ['98-81=17', '17-5=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,98 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,98 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 98:[17, 11], Operations: ['98-81=17', '16-5=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,98 unequal: No Solution
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,98 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 98:[16, 22], Operations: ['98-81=17', '5+17=22']
Exploring Operation: 16*22=352, Resulting Numbers: [352]
352,98 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 16+22=38, Resulting Numbers: [38]
38,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 98:[17, 21], Operations: ['98-81=17', '5+16=21']
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Exploring Operation: 17*21=357, Resulting Numbers: [357]
357,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[98, 16, 86], Operations: ['5+81=86']
Exploring Operation: 98-86=12, Resulting Numbers: [16, 12]
Generated Node #0,1,0: 98:[16, 12] Operation: 98-86=12
Exploring Operation: 98-16=82, Resulting Numbers: [86, 82]
Generated Node #0,1,1: 98:[86, 82] Operation: 98-16=82
Exploring Operation: 86-16=70, Resulting Numbers: [98, 70]
Generated Node #0,1,2: 98:[98, 70] Operation: 86-16=70
Exploring Operation: 98+16=114, Resulting Numbers: [86, 114]
Generated Node #0,1,3: 98:[86, 114] Operation: 98+16=114
Exploring Operation: 16+86=102, Resulting Numbers: [98, 102]
Generated Node #0,1,4: 98:[98, 102] Operation: 16+86=102
Moving to Node #0,1,0
Current State: 98:[16, 12], Operations: ['5+81=86', '98-86=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,98 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,98 unequal: No Solution
Moving to Node #0,1,4
Current State: 98:[98, 102], Operations: ['5+81=86', '16+86=102']
Exploring Operation: 98*102=9996, Resulting Numbers: [9996]
9996,98 unequal: No Solution
Exploring Operation: 102-98=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 98+102=200, Resulting Numbers: [200]
200,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[98, 70], Operations: ['5+81=86', '86-16=70']
Exploring Operation: 98-70=28, Resulting Numbers: [28]
28,98 unequal: No Solution
Exploring Operation: 98*70=6860, Resulting Numbers: [6860]
6860,98 unequal: No Solution
Exploring Operation: 98+70=168, Resulting Numbers: [168]
168,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[86, 82], Operations: ['5+81=86', '98-16=82']
Exploring Operation: 86+82=168, Resulting Numbers: [168]
168,98 unequal: No Solution
Exploring Operation: 86-82=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 86*82=7052, Resulting Numbers: [7052]
7052,98 unequal: No Solution
Moving to Node #0,1,3
Current State: 98:[86, 114], Operations: ['5+81=86', '98+16=114']
Exploring Operation: 86*114=9804, Resulting Numbers: [9804]
9804,98 unequal: No Solution
Exploring Operation: 86+114=200, Resulting Numbers: [200]
200,98 unequal: No Solution
Exploring Operation: 114-86=28, Resulting Numbers: [28]
28,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[5, 98, 65], Operations: ['81-16=65']
Exploring Operation: 65/5=13, Resulting Numbers: [98, 13]
Generated Node #0,0,0: 98:[98, 13] Operation: 65/5=13
Exploring Operation: 98-5=93, Resulting Numbers: [65, 93]
Generated Node #0,0,1: 98:[65, 93] Operation: 98-5=93
Exploring Operation: 98-65=33, Resulting Numbers: [5, 33]
Generated Node #0,0,2: 98:[5, 33] Operation: 98-65=33
Exploring Operation: 5+98=103, Resulting Numbers: [65, 103]
Generated Node #0,0,3: 98:[65, 103] Operation: 5+98=103
Exploring Operation: 65-5=60, Resulting Numbers: [98, 60]
Generated Node #0,0,4: 98:[98, 60] Operation: 65-5=60
Moving to Node #0,0,0
Current State: 98:[98, 13], Operations: ['81-16=65', '65/5=13']
Exploring Operation: 98+13=111, Resulting Numbers: [111]
111,98 unequal: No Solution
Exploring Operation: 98*13=1274, Resulting Numbers: [1274]
1274,98 unequal: No Solution
Exploring Operation: 98-13=85, Resulting Numbers: [85]
85,98 unequal: No Solution
Moving to Node #0,0,4
Current State: 98:[98, 60], Operations: ['81-16=65', '65-5=60']
Exploring Operation: 98+60=158, Resulting Numbers: [158]
158,98 unequal: No Solution
Exploring Operation: 98*60=5880, Resulting Numbers: [5880]
5880,98 unequal: No Solution
Exploring Operation: 98-60=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[5, 33], Operations: ['81-16=65', '98-65=33']
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Exploring Operation: 5*33=165, Resulting Numbers: [165]
165,98 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[65, 93], Operations: ['81-16=65', '98-5=93']
Exploring Operation: 65*93=6045, Resulting Numbers: [6045]
6045,98 unequal: No Solution
Exploring Operation: 65+93=158, Resulting Numbers: [158]
158,98 unequal: No Solution
Exploring Operation: 93-65=28, Resulting Numbers: [28]
28,98 unequal: No Solution
Moving to Node #0,0,3
Current State: 98:[65, 103], Operations: ['81-16=65', '5+98=103']
Exploring Operation: 103-65=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Exploring Operation: 65*103=6695, Resulting Numbers: [6695]
6695,98 unequal: No Solution
Exploring Operation: 65+103=168, Resulting Numbers: [168]
168,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[98, 81, 11], Operations: ['16-5=11']
Exploring Operation: 81-11=70, Resulting Numbers: [98, 70]
Generated Node #0,2,0: 98:[98, 70] Operation: 81-11=70
Exploring Operation: 98+11=109, Resulting Numbers: [81, 109]
Generated Node #0,2,1: 98:[81, 109] Operation: 98+11=109
Exploring Operation: 98-11=87, Resulting Numbers: [81, 87]
Generated Node #0,2,2: 98:[81, 87] Operation: 98-11=87
Exploring Operation: 81+11=92, Resulting Numbers: [98, 92]
Generated Node #0,2,3: 98:[98, 92] Operation: 81+11=92
Exploring Operation: 98-81=17, Resulting Numbers: [11, 17]
Generated Node #0,2,4: 98:[11, 17] Operation: 98-81=17
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 98:[98, 92], Operations: ['16-5=11', '81+11=92']
Exploring Operation: 98-92=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 98*92=9016, Resulting Numbers: [9016]
9016,98 unequal: No Solution
Exploring Operation: 98+92=190, Resulting Numbers: [190]
190,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 98:[11, 17], Operations: ['16-5=11', '98-81=17']
Exploring Operation: 11*17=187, Resulting Numbers: [187]
187,98 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 98:[98, 70], Operations: ['16-5=11', '81-11=70']
Exploring Operation: 98+70=168, Resulting Numbers: [168]
168,98 unequal: No Solution
Exploring Operation: 98*70=6860, Resulting Numbers: [6860]
6860,98 unequal: No Solution
Exploring Operation: 98-70=28, Resulting Numbers: [28]
28,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 98:[81, 109], Operations: ['16-5=11', '98+11=109']
Exploring Operation: 81*109=8829, Resulting Numbers: [8829]
8829,98 unequal: No Solution
Exploring Operation: 81+109=190, Resulting Numbers: [190]
190,98 unequal: No Solution
Exploring Operation: 109-81=28, Resulting Numbers: [28]
28,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 98:[81, 87], Operations: ['16-5=11', '98-11=87']
Exploring Operation: 81+87=168, Resulting Numbers: [168]
168,98 unequal: No Solution
Exploring Operation: 81*87=7047, Resulting Numbers: [7047]
7047,98 unequal: No Solution
Exploring Operation: 87-81=6, Resulting Numbers: [6]
6,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
62,
1,
28,
45
] | 46 | [
"62+1=63",
"45-28=17",
"63-17=46"
] | Current State: 46:[62, 1, 28, 45], Operations: []
Exploring Operation: 62+1=63, Resulting Numbers: [28, 45, 63]
Generated Node #2: [28, 45, 63] from Operation: 62+1=63
Current State: 46:[28, 45, 63], Operations: ['62+1=63']
Exploring Operation: 45-28=17, Resulting Numbers: [63, 17]
Generated Node #3: [63, 17] from Operation: 45-28=17
Current State: 46:[63, 17], Operations: ['62+1=63', '45-28=17']
Exploring Operation: 63-17=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[62, 1, 28, 45], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [1, 28, 17]
Generated Node #0,0: 46:[1, 28, 17] Operation: 62-45=17
Exploring Operation: 62-1=61, Resulting Numbers: [28, 45, 61]
Generated Node #0,1: 46:[28, 45, 61] Operation: 62-1=61
Exploring Operation: 62-28=34, Resulting Numbers: [1, 45, 34]
Generated Node #0,2: 46:[1, 45, 34] Operation: 62-28=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[1, 28, 17], Operations: ['62-45=17']
Exploring Operation: 28-1=27, Resulting Numbers: [17, 27]
Generated Node #0,0,0: 46:[17, 27] Operation: 28-1=27
Exploring Operation: 28+17=45, Resulting Numbers: [1, 45]
Generated Node #0,0,1: 46:[1, 45] Operation: 28+17=45
Exploring Operation: 1+17=18, Resulting Numbers: [28, 18]
Generated Node #0,0,2: 46:[28, 18] Operation: 1+17=18
Moving to Node #0,0,1
Current State: 46:[1, 45], Operations: ['62-45=17', '28+17=45']
Exploring Operation: 1+45=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[62, 1, 28, 45], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [1, 28, 17]
Generated Node #0,0: 46:[1, 28, 17] Operation: 62-45=17
Moving to Node #0,0
Current State: 46:[1, 28, 17], Operations: ['62-45=17']
Exploring Operation: 28+17=45, Resulting Numbers: [1, 45]
Generated Node #0,0,1: 46:[1, 45] Operation: 28+17=45
Moving to Node #0,0,1
Current State: 46:[1, 45], Operations: ['62-45=17', '28+17=45']
Exploring Operation: 1+45=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
83,
86,
86,
66
] | 60 | [
"86-83=3",
"86-66=20",
"3*20=60"
] | Current State: 60:[83, 86, 86, 66], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [66, 3]
Generated Node #2: [66, 3] from Operation: 86-83=3
Current State: 60:[66, 3], Operations: ['86-83=3']
Exploring Operation: 86-66=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 86-66=20
Current State: 60:[3, 20], Operations: ['86-83=3', '86-66=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[83, 86, 86, 66], Operations: []
Exploring Operation: 86/86=1, Resulting Numbers: [83, 66, 1]
Generated Node #0,0: 60:[83, 66, 1] Operation: 86/86=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[83, 66, 1], Operations: ['86/86=1']
Exploring Operation: 83-66=17, Resulting Numbers: [1, 17]
Generated Node #0,0,0: 60:[1, 17] Operation: 83-66=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[1, 17], Operations: ['86/86=1', '83-66=17']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,60 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
No solution found.
| 0 | hs_1 | mult_heuristic |
[
68,
92,
39,
91
] | 29 | [
"68-39=29",
"92-91=1",
"29*1=29"
] | Current State: 29:[68, 92, 39, 91], Operations: []
Exploring Operation: 68-39=29, Resulting Numbers: [92, 91, 29]
Generated Node #2: [92, 91, 29] from Operation: 68-39=29
Current State: 29:[92, 91, 29], Operations: ['68-39=29']
Exploring Operation: 92-91=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 92-91=1
Current State: 29:[29, 1], Operations: ['68-39=29', '92-91=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[68, 92, 39, 91], Operations: []
Exploring Operation: 92-91=1, Resulting Numbers: [68, 39, 1]
Generated Node #0,0: 29:[68, 39, 1] Operation: 92-91=1
Exploring Operation: 68-39=29, Resulting Numbers: [92, 91, 29]
Generated Node #0,1: 29:[92, 91, 29] Operation: 68-39=29
Exploring Operation: 92-39=53, Resulting Numbers: [68, 91, 53]
Generated Node #0,2: 29:[68, 91, 53] Operation: 92-39=53
Exploring Operation: 92-68=24, Resulting Numbers: [39, 91, 24]
Generated Node #0,3: 29:[39, 91, 24] Operation: 92-68=24
Exploring Operation: 91-68=23, Resulting Numbers: [92, 39, 23]
Generated Node #0,4: 29:[92, 39, 23] Operation: 91-68=23
Moving to Node #0,0
Current State: 29:[68, 39, 1], Operations: ['92-91=1']
Exploring Operation: 68/1=68, Resulting Numbers: [39, 68]
Generated Node #0,0,0: 29:[39, 68] Operation: 68/1=68
Exploring Operation: 68-39=29, Resulting Numbers: [1, 29]
Generated Node #0,0,1: 29:[1, 29] Operation: 68-39=29
Exploring Operation: 68*1=68, Resulting Numbers: [39, 68]
Generated Node #0,0,2: 29:[39, 68] Operation: 68*1=68
Exploring Operation: 68-1=67, Resulting Numbers: [39, 67]
Generated Node #0,0,3: 29:[39, 67] Operation: 68-1=67
Exploring Operation: 39-1=38, Resulting Numbers: [68, 38]
Generated Node #0,0,4: 29:[68, 38] Operation: 39-1=38
Moving to Node #0,3
Current State: 29:[39, 91, 24], Operations: ['92-68=24']
Exploring Operation: 91-39=52, Resulting Numbers: [24, 52]
Generated Node #0,3,0: 29:[24, 52] Operation: 91-39=52
Exploring Operation: 39+24=63, Resulting Numbers: [91, 63]
Generated Node #0,3,1: 29:[91, 63] Operation: 39+24=63
Exploring Operation: 91+24=115, Resulting Numbers: [39, 115]
Generated Node #0,3,2: 29:[39, 115] Operation: 91+24=115
Exploring Operation: 91-24=67, Resulting Numbers: [39, 67]
Generated Node #0,3,3: 29:[39, 67] Operation: 91-24=67
Exploring Operation: 39-24=15, Resulting Numbers: [91, 15]
Generated Node #0,3,4: 29:[91, 15] Operation: 39-24=15
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 29:[24, 52], Operations: ['92-68=24', '91-39=52']
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 24*52=1248, Resulting Numbers: [1248]
1248,29 unequal: No Solution
Exploring Operation: 24+52=76, Resulting Numbers: [76]
76,29 unequal: No Solution
No 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: 29:[39, 67], Operations: ['92-68=24', '91-24=67']
Exploring Operation: 39+67=106, Resulting Numbers: [106]
106,29 unequal: No Solution
Exploring Operation: 39*67=2613, Resulting Numbers: [2613]
2613,29 unequal: No Solution
Exploring Operation: 67-39=28, Resulting Numbers: [28]
28,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 29:[91, 15], Operations: ['92-68=24', '39-24=15']
Exploring Operation: 91*15=1365, Resulting Numbers: [1365]
1365,29 unequal: No Solution
Exploring Operation: 91-15=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 91+15=106, Resulting Numbers: [106]
106,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 29:[91, 63], Operations: ['92-68=24', '39+24=63']
Exploring Operation: 91+63=154, Resulting Numbers: [154]
154,29 unequal: No Solution
Exploring Operation: 91-63=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 91*63=5733, Resulting Numbers: [5733]
5733,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 29:[39, 115], Operations: ['92-68=24', '91+24=115']
Exploring Operation: 115-39=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 39+115=154, Resulting Numbers: [154]
154,29 unequal: No Solution
Exploring Operation: 39*115=4485, Resulting Numbers: [4485]
4485,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 29:[92, 39, 23], Operations: ['91-68=23']
Exploring Operation: 92/23=4, Resulting Numbers: [39, 4]
Generated Node #0,4,0: 29:[39, 4] Operation: 92/23=4
Exploring Operation: 92-23=69, Resulting Numbers: [39, 69]
Generated Node #0,4,1: 29:[39, 69] Operation: 92-23=69
Exploring Operation: 92-39=53, Resulting Numbers: [23, 53]
Generated Node #0,4,2: 29:[23, 53] Operation: 92-39=53
Exploring Operation: 92+23=115, Resulting Numbers: [39, 115]
Generated Node #0,4,3: 29:[39, 115] Operation: 92+23=115
Exploring Operation: 39-23=16, Resulting Numbers: [92, 16]
Generated Node #0,4,4: 29:[92, 16] Operation: 39-23=16
Moving to Node #0,1
Current State: 29:[92, 91, 29], Operations: ['68-39=29']
Exploring Operation: 92-91=1, Resulting Numbers: [29, 1]
Generated Node #0,1,0: 29:[29, 1] Operation: 92-91=1
Exploring Operation: 92-29=63, Resulting Numbers: [91, 63]
Generated Node #0,1,1: 29:[91, 63] Operation: 92-29=63
Exploring Operation: 92+29=121, Resulting Numbers: [91, 121]
Generated Node #0,1,2: 29:[91, 121] Operation: 92+29=121
Exploring Operation: 91-29=62, Resulting Numbers: [92, 62]
Generated Node #0,1,3: 29:[92, 62] Operation: 91-29=62
Exploring Operation: 92+91=183, Resulting Numbers: [29, 183]
Generated Node #0,1,4: 29:[29, 183] Operation: 92+91=183
Moving to Node #0,2
Current State: 29:[68, 91, 53], Operations: ['92-39=53']
Exploring Operation: 68-53=15, Resulting Numbers: [91, 15]
Generated Node #0,2,0: 29:[91, 15] Operation: 68-53=15
Exploring Operation: 91-68=23, Resulting Numbers: [53, 23]
Generated Node #0,2,1: 29:[53, 23] Operation: 91-68=23
Exploring Operation: 68+53=121, Resulting Numbers: [91, 121]
Generated Node #0,2,2: 29:[91, 121] Operation: 68+53=121
Exploring Operation: 68+91=159, Resulting Numbers: [53, 159]
Generated Node #0,2,3: 29:[53, 159] Operation: 68+91=159
Exploring Operation: 91-53=38, Resulting Numbers: [68, 38]
Generated Node #0,2,4: 29:[68, 38] Operation: 91-53=38
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[53, 23], Operations: ['92-39=53', '91-68=23']
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 53*23=1219, Resulting Numbers: [1219]
1219,29 unequal: No Solution
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 29:[68, 38], Operations: ['92-39=53', '91-53=38']
Exploring Operation: 68*38=2584, Resulting Numbers: [2584]
2584,29 unequal: No Solution
Exploring Operation: 68-38=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 68+38=106, Resulting Numbers: [106]
106,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[91, 15], Operations: ['92-39=53', '68-53=15']
Exploring Operation: 91*15=1365, Resulting Numbers: [1365]
1365,29 unequal: No Solution
Exploring Operation: 91-15=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 91+15=106, Resulting Numbers: [106]
106,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 29:[91, 121], Operations: ['92-39=53', '68+53=121']
Exploring Operation: 121-91=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 91*121=11011, Resulting Numbers: [11011]
11011,29 unequal: No Solution
Exploring Operation: 91+121=212, Resulting Numbers: [212]
212,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 29:[53, 159], Operations: ['92-39=53', '68+91=159']
Exploring Operation: 159/53=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 53*159=8427, Resulting Numbers: [8427]
8427,29 unequal: No Solution
Exploring Operation: 159-53=106, Resulting Numbers: [106]
106,29 unequal: No Solution
Exploring Operation: 53+159=212, Resulting Numbers: [212]
212,29 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: 29:[1, 29], Operations: ['92-91=1', '68-39=29']
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[68, 92, 39, 91], Operations: []
Exploring Operation: 92-91=1, Resulting Numbers: [68, 39, 1]
Generated Node #0,0: 29:[68, 39, 1] Operation: 92-91=1
Moving to Node #0,0
Current State: 29:[68, 39, 1], Operations: ['92-91=1']
Exploring Operation: 68-39=29, Resulting Numbers: [1, 29]
Generated Node #0,0,1: 29:[1, 29] Operation: 68-39=29
Moving to Node #0,0,1
Current State: 29:[1, 29], Operations: ['92-91=1', '68-39=29']
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 0.942708 | hs_5 | sum_heuristic |
[
56,
64,
16,
51
] | 75 | [
"64-56=8",
"16+51=67",
"8+67=75"
] | Current State: 75:[56, 64, 16, 51], Operations: []
Exploring Operation: 64-56=8, Resulting Numbers: [16, 51, 8]
Generated Node #2: [16, 51, 8] from Operation: 64-56=8
Current State: 75:[16, 51, 8], Operations: ['64-56=8']
Exploring Operation: 16+51=67, Resulting Numbers: [8, 67]
Generated Node #3: [8, 67] from Operation: 16+51=67
Current State: 75:[8, 67], Operations: ['64-56=8', '16+51=67']
Exploring Operation: 8+67=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[56, 64, 16, 51], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [64, 16, 5]
Generated Node #0,0: 75:[64, 16, 5] Operation: 56-51=5
Exploring Operation: 64-51=13, Resulting Numbers: [56, 16, 13]
Generated Node #0,1: 75:[56, 16, 13] Operation: 64-51=13
Exploring Operation: 64-56=8, Resulting Numbers: [16, 51, 8]
Generated Node #0,2: 75:[16, 51, 8] Operation: 64-56=8
Exploring Operation: 56+16=72, Resulting Numbers: [64, 51, 72]
Generated Node #0,3: 75:[64, 51, 72] Operation: 56+16=72
Exploring Operation: 16+51=67, Resulting Numbers: [56, 64, 67]
Generated Node #0,4: 75:[56, 64, 67] Operation: 16+51=67
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[64, 16, 5], Operations: ['56-51=5']
Exploring Operation: 64/16=4, Resulting Numbers: [5, 4]
Generated Node #0,0,0: 75:[5, 4] Operation: 64/16=4
Exploring Operation: 64+5=69, Resulting Numbers: [16, 69]
Generated Node #0,0,1: 75:[16, 69] Operation: 64+5=69
Exploring Operation: 16+5=21, Resulting Numbers: [64, 21]
Generated Node #0,0,2: 75:[64, 21] Operation: 16+5=21
Exploring Operation: 16-5=11, Resulting Numbers: [64, 11]
Generated Node #0,0,3: 75:[64, 11] Operation: 16-5=11
Exploring Operation: 64+16=80, Resulting Numbers: [5, 80]
Generated Node #0,0,4: 75:[5, 80] Operation: 64+16=80
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[5, 4], Operations: ['56-51=5', '64/16=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 75:[5, 80], Operations: ['56-51=5', '64+16=80']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[56, 64, 16, 51], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [64, 16, 5]
Generated Node #0,0: 75:[64, 16, 5] Operation: 56-51=5
Moving to Node #0,0
Current State: 75:[64, 16, 5], Operations: ['56-51=5']
Exploring Operation: 64+16=80, Resulting Numbers: [5, 80]
Generated Node #0,0,4: 75:[5, 80] Operation: 64+16=80
Moving to Node #0,0,4
Current State: 75:[5, 80], Operations: ['56-51=5', '64+16=80']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
18,
57,
95,
90
] | 76 | [
"18*95=1710",
"1710/90=19",
"57+19=76"
] | Current State: 76:[18, 57, 95, 90], Operations: []
Exploring Operation: 18*95=1710, Resulting Numbers: [57, 90, 1710]
Generated Node #2: [57, 90, 1710] from Operation: 18*95=1710
Current State: 76:[57, 90, 1710], Operations: ['18*95=1710']
Exploring Operation: 1710/90=19, Resulting Numbers: [57, 19]
Generated Node #3: [57, 19] from Operation: 1710/90=19
Current State: 76:[57, 19], Operations: ['18*95=1710', '1710/90=19']
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[18, 57, 95, 90], Operations: []
Exploring Operation: 95-57=38, Resulting Numbers: [18, 90, 38]
Generated Node #0,0: 76:[18, 90, 38] Operation: 95-57=38
Exploring Operation: 57-18=39, Resulting Numbers: [95, 90, 39]
Generated Node #0,1: 76:[95, 90, 39] Operation: 57-18=39
Exploring Operation: 18+57=75, Resulting Numbers: [95, 90, 75]
Generated Node #0,2: 76:[95, 90, 75] Operation: 18+57=75
Exploring Operation: 90-57=33, Resulting Numbers: [18, 95, 33]
Generated Node #0,3: 76:[18, 95, 33] Operation: 90-57=33
Exploring Operation: 95-90=5, Resulting Numbers: [18, 57, 5]
Generated Node #0,4: 76:[18, 57, 5] Operation: 95-90=5
Moving to Node #0,0
Current State: 76:[18, 90, 38], Operations: ['95-57=38']
Exploring Operation: 38-18=20, Resulting Numbers: [90, 20]
Generated Node #0,0,0: 76:[90, 20] Operation: 38-18=20
Exploring Operation: 18+90=108, Resulting Numbers: [38, 108]
Generated Node #0,0,1: 76:[38, 108] Operation: 18+90=108
Exploring Operation: 90-38=52, Resulting Numbers: [18, 52]
Generated Node #0,0,2: 76:[18, 52] Operation: 90-38=52
Exploring Operation: 90-18=72, Resulting Numbers: [38, 72]
Generated Node #0,0,3: 76:[38, 72] Operation: 90-18=72
Exploring Operation: 90/18=5, Resulting Numbers: [38, 5]
Generated Node #0,0,4: 76:[38, 5] Operation: 90/18=5
Moving to Node #0,4
Current State: 76:[18, 57, 5], Operations: ['95-90=5']
Exploring Operation: 18+5=23, Resulting Numbers: [57, 23]
Generated Node #0,4,0: 76:[57, 23] Operation: 18+5=23
Exploring Operation: 57+5=62, Resulting Numbers: [18, 62]
Generated Node #0,4,1: 76:[18, 62] Operation: 57+5=62
Exploring Operation: 18+57=75, Resulting Numbers: [5, 75]
Generated Node #0,4,2: 76:[5, 75] Operation: 18+57=75
Exploring Operation: 57-5=52, Resulting Numbers: [18, 52]
Generated Node #0,4,3: 76:[18, 52] Operation: 57-5=52
Exploring Operation: 57-18=39, Resulting Numbers: [5, 39]
Generated Node #0,4,4: 76:[5, 39] Operation: 57-18=39
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 76:[5, 75], Operations: ['95-90=5', '18+57=75']
Exploring Operation: 5+75=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 5*75=375, Resulting Numbers: [375]
375,76 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 #0,4,4
Current State: 76:[5, 39], Operations: ['95-90=5', '57-18=39']
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Exploring Operation: 5*39=195, Resulting Numbers: [195]
195,76 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,76 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 #0,4,1
Current State: 76:[18, 62], Operations: ['95-90=5', '57+5=62']
Exploring Operation: 18+62=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Exploring Operation: 18*62=1116, Resulting Numbers: [1116]
1116,76 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 #0,4,3
Current State: 76:[18, 52], Operations: ['95-90=5', '57-5=52']
Exploring Operation: 18+52=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 18*52=936, Resulting Numbers: [936]
936,76 unequal: No Solution
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,76 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 #0,4,0
Current State: 76:[57, 23], Operations: ['95-90=5', '18+5=23']
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,76 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,76 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: 76:[18, 95, 33], Operations: ['90-57=33']
Exploring Operation: 18+33=51, Resulting Numbers: [95, 51]
Generated Node #0,3,0: 76:[95, 51] Operation: 18+33=51
Exploring Operation: 95-18=77, Resulting Numbers: [33, 77]
Generated Node #0,3,1: 76:[33, 77] Operation: 95-18=77
Exploring Operation: 95-33=62, Resulting Numbers: [18, 62]
Generated Node #0,3,2: 76:[18, 62] Operation: 95-33=62
Exploring Operation: 18+95=113, Resulting Numbers: [33, 113]
Generated Node #0,3,3: 76:[33, 113] Operation: 18+95=113
Exploring Operation: 33-18=15, Resulting Numbers: [95, 15]
Generated Node #0,3,4: 76:[95, 15] Operation: 33-18=15
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 76:[33, 77], Operations: ['90-57=33', '95-18=77']
Exploring Operation: 33+77=110, Resulting Numbers: [110]
110,76 unequal: No Solution
Exploring Operation: 33*77=2541, Resulting Numbers: [2541]
2541,76 unequal: No Solution
Exploring Operation: 77-33=44, Resulting Numbers: [44]
44,76 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:[18, 62], Operations: ['90-57=33', '95-33=62']
Exploring Operation: 18+62=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Exploring Operation: 18*62=1116, Resulting Numbers: [1116]
1116,76 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 #0,3,4
Current State: 76:[95, 15], Operations: ['90-57=33', '33-18=15']
Exploring Operation: 95+15=110, Resulting Numbers: [110]
110,76 unequal: No Solution
Exploring Operation: 95*15=1425, Resulting Numbers: [1425]
1425,76 unequal: No Solution
Exploring Operation: 95-15=80, Resulting Numbers: [80]
80,76 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 #0,3,0
Current State: 76:[95, 51], Operations: ['90-57=33', '18+33=51']
Exploring Operation: 95*51=4845, Resulting Numbers: [4845]
4845,76 unequal: No Solution
Exploring Operation: 95-51=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Exploring Operation: 95+51=146, Resulting Numbers: [146]
146,76 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:[33, 113], Operations: ['90-57=33', '18+95=113']
Exploring Operation: 33+113=146, Resulting Numbers: [146]
146,76 unequal: No Solution
Exploring Operation: 33*113=3729, Resulting Numbers: [3729]
3729,76 unequal: No Solution
Exploring Operation: 113-33=80, Resulting Numbers: [80]
80,76 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:[95, 90, 39], Operations: ['57-18=39']
Exploring Operation: 95-39=56, Resulting Numbers: [90, 56]
Generated Node #0,1,0: 76:[90, 56] Operation: 95-39=56
Exploring Operation: 95-90=5, Resulting Numbers: [39, 5]
Generated Node #0,1,1: 76:[39, 5] Operation: 95-90=5
Exploring Operation: 95+39=134, Resulting Numbers: [90, 134]
Generated Node #0,1,2: 76:[90, 134] Operation: 95+39=134
Exploring Operation: 90+39=129, Resulting Numbers: [95, 129]
Generated Node #0,1,3: 76:[95, 129] Operation: 90+39=129
Exploring Operation: 90-39=51, Resulting Numbers: [95, 51]
Generated Node #0,1,4: 76:[95, 51] Operation: 90-39=51
Moving to Node #0,2
Current State: 76:[95, 90, 75], Operations: ['18+57=75']
Exploring Operation: 95+75=170, Resulting Numbers: [90, 170]
Generated Node #0,2,0: 76:[90, 170] Operation: 95+75=170
Exploring Operation: 95-75=20, Resulting Numbers: [90, 20]
Generated Node #0,2,1: 76:[90, 20] Operation: 95-75=20
Exploring Operation: 90-75=15, Resulting Numbers: [95, 15]
Generated Node #0,2,2: 76:[95, 15] Operation: 90-75=15
Exploring Operation: 95-90=5, Resulting Numbers: [75, 5]
Generated Node #0,2,3: 76:[75, 5] Operation: 95-90=5
Exploring Operation: 90+75=165, Resulting Numbers: [95, 165]
Generated Node #0,2,4: 76:[95, 165] Operation: 90+75=165
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 76:[75, 5], Operations: ['18+57=75', '95-90=5']
Exploring Operation: 75*5=375, Resulting Numbers: [375]
375,76 unequal: No Solution
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 75+5=80, Resulting Numbers: [80]
80,76 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:[90, 20], Operations: ['18+57=75', '95-75=20']
Exploring Operation: 90*20=1800, Resulting Numbers: [1800]
1800,76 unequal: No Solution
Exploring Operation: 90-20=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 90+20=110, Resulting Numbers: [110]
110,76 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 #0,2,2
Current State: 76:[95, 15], Operations: ['18+57=75', '90-75=15']
Exploring Operation: 95*15=1425, Resulting Numbers: [1425]
1425,76 unequal: No Solution
Exploring Operation: 95-15=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Exploring Operation: 95+15=110, Resulting Numbers: [110]
110,76 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:[90, 170], Operations: ['18+57=75', '95+75=170']
Exploring Operation: 90*170=15300, Resulting Numbers: [15300]
15300,76 unequal: No Solution
Exploring Operation: 170-90=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Exploring Operation: 90+170=260, Resulting Numbers: [260]
260,76 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 #0,2,4
Current State: 76:[95, 165], Operations: ['18+57=75', '90+75=165']
Exploring Operation: 165-95=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 95+165=260, Resulting Numbers: [260]
260,76 unequal: No Solution
Exploring Operation: 95*165=15675, Resulting Numbers: [15675]
15675,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,4
Current State: 76:[38, 5], Operations: ['95-57=38', '90/18=5']
Exploring Operation: 38*5=190, Resulting Numbers: [190]
190,76 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[39, 5], Operations: ['57-18=39', '95-90=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,76 unequal: No Solution
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[38, 72], Operations: ['95-57=38', '90-18=72']
Exploring Operation: 38+72=110, Resulting Numbers: [110]
110,76 unequal: No Solution
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 38*72=2736, Resulting Numbers: [2736]
2736,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[90, 20], Operations: ['95-57=38', '38-18=20']
Exploring Operation: 90-20=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 90+20=110, Resulting Numbers: [110]
110,76 unequal: No Solution
Exploring Operation: 90*20=1800, Resulting Numbers: [1800]
1800,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[18, 52], Operations: ['95-57=38', '90-38=52']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 18*52=936, Resulting Numbers: [936]
936,76 unequal: No Solution
Exploring Operation: 18+52=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[90, 56], Operations: ['57-18=39', '95-39=56']
Exploring Operation: 90-56=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 90*56=5040, Resulting Numbers: [5040]
5040,76 unequal: No Solution
Exploring Operation: 90+56=146, Resulting Numbers: [146]
146,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[38, 108], Operations: ['95-57=38', '18+90=108']
Exploring Operation: 38*108=4104, Resulting Numbers: [4104]
4104,76 unequal: No Solution
Exploring Operation: 38+108=146, Resulting Numbers: [146]
146,76 unequal: No Solution
Exploring Operation: 108-38=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Moving to Node #0,1,4
Current State: 76:[95, 51], Operations: ['57-18=39', '90-39=51']
Exploring Operation: 95+51=146, Resulting Numbers: [146]
146,76 unequal: No Solution
Exploring Operation: 95*51=4845, Resulting Numbers: [4845]
4845,76 unequal: No Solution
Exploring Operation: 95-51=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[90, 134], Operations: ['57-18=39', '95+39=134']
Exploring Operation: 90*134=12060, Resulting Numbers: [12060]
12060,76 unequal: No Solution
Exploring Operation: 90+134=224, Resulting Numbers: [224]
224,76 unequal: No Solution
Exploring Operation: 134-90=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[95, 129], Operations: ['57-18=39', '90+39=129']
Exploring Operation: 129-95=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 95*129=12255, Resulting Numbers: [12255]
12255,76 unequal: No Solution
Exploring Operation: 95+129=224, Resulting Numbers: [224]
224,76 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
55,
92,
25,
29
] | 91 | [
"92-55=37",
"25+29=54",
"37+54=91"
] | Current State: 91:[55, 92, 25, 29], Operations: []
Exploring Operation: 92-55=37, Resulting Numbers: [25, 29, 37]
Generated Node #2: [25, 29, 37] from Operation: 92-55=37
Current State: 91:[25, 29, 37], Operations: ['92-55=37']
Exploring Operation: 25+29=54, Resulting Numbers: [37, 54]
Generated Node #3: [37, 54] from Operation: 25+29=54
Current State: 91:[37, 54], Operations: ['92-55=37', '25+29=54']
Exploring Operation: 37+54=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[55, 92, 25, 29], Operations: []
Exploring Operation: 55+29=84, Resulting Numbers: [92, 25, 84]
Generated Node #0,0: 91:[92, 25, 84] Operation: 55+29=84
Exploring Operation: 55-29=26, Resulting Numbers: [92, 25, 26]
Generated Node #0,1: 91:[92, 25, 26] Operation: 55-29=26
Exploring Operation: 55+25=80, Resulting Numbers: [92, 29, 80]
Generated Node #0,2: 91:[92, 29, 80] Operation: 55+25=80
Moving to Node #0,0
Current State: 91:[92, 25, 84], Operations: ['55+29=84']
Exploring Operation: 25+84=109, Resulting Numbers: [92, 109]
Generated Node #0,0,0: 91:[92, 109] Operation: 25+84=109
Exploring Operation: 92-84=8, Resulting Numbers: [25, 8]
Generated Node #0,0,1: 91:[25, 8] Operation: 92-84=8
Exploring Operation: 92-25=67, Resulting Numbers: [84, 67]
Generated Node #0,0,2: 91:[84, 67] Operation: 92-25=67
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[25, 8], Operations: ['55+29=84', '92-84=8']
Exploring Operation: 25+8=33, Resulting Numbers: [33]
33,91 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 25*8=200, Resulting Numbers: [200]
200,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[92, 109], Operations: ['55+29=84', '25+84=109']
Exploring Operation: 109-92=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 92+109=201, Resulting Numbers: [201]
201,91 unequal: No Solution
Exploring Operation: 92*109=10028, Resulting Numbers: [10028]
10028,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[84, 67], Operations: ['55+29=84', '92-25=67']
Exploring Operation: 84+67=151, Resulting Numbers: [151]
151,91 unequal: No Solution
Exploring Operation: 84*67=5628, Resulting Numbers: [5628]
5628,91 unequal: No Solution
Exploring Operation: 84-67=17, Resulting Numbers: [17]
17,91 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:[92, 25, 26], Operations: ['55-29=26']
Exploring Operation: 26-25=1, Resulting Numbers: [92, 1]
Generated Node #0,1,0: 91:[92, 1] Operation: 26-25=1
Exploring Operation: 92-25=67, Resulting Numbers: [26, 67]
Generated Node #0,1,1: 91:[26, 67] Operation: 92-25=67
Exploring Operation: 92-26=66, Resulting Numbers: [25, 66]
Generated Node #0,1,2: 91:[25, 66] Operation: 92-26=66
Moving to Node #0,2
Current State: 91:[92, 29, 80], Operations: ['55+25=80']
Exploring Operation: 92-80=12, Resulting Numbers: [29, 12]
Generated Node #0,2,0: 91:[29, 12] Operation: 92-80=12
Exploring Operation: 92-29=63, Resulting Numbers: [80, 63]
Generated Node #0,2,1: 91:[80, 63] Operation: 92-29=63
Exploring Operation: 29+80=109, Resulting Numbers: [92, 109]
Generated Node #0,2,2: 91:[92, 109] Operation: 29+80=109
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 91:[29, 12], Operations: ['55+25=80', '92-80=12']
Exploring Operation: 29*12=348, Resulting Numbers: [348]
348,91 unequal: No Solution
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,91 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,91 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:[92, 109], Operations: ['55+25=80', '29+80=109']
Exploring Operation: 109-92=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 92*109=10028, Resulting Numbers: [10028]
10028,91 unequal: No Solution
Exploring Operation: 92+109=201, Resulting Numbers: [201]
201,91 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:[80, 63], Operations: ['55+25=80', '92-29=63']
Exploring Operation: 80-63=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 80*63=5040, Resulting Numbers: [5040]
5040,91 unequal: No Solution
Exploring Operation: 80+63=143, Resulting Numbers: [143]
143,91 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: 91:[92, 1], Operations: ['55-29=26', '26-25=1']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[55, 92, 25, 29], Operations: []
Exploring Operation: 55-29=26, Resulting Numbers: [92, 25, 26]
Generated Node #0,1: 91:[92, 25, 26] Operation: 55-29=26
Moving to Node #0,1
Current State: 91:[92, 25, 26], Operations: ['55-29=26']
Exploring Operation: 26-25=1, Resulting Numbers: [92, 1]
Generated Node #0,1,0: 91:[92, 1] Operation: 26-25=1
Moving to Node #0,1,0
Current State: 91:[92, 1], Operations: ['55-29=26', '26-25=1']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.969618 | hs_3 | mult_heuristic |
[
84,
64,
63,
44
] | 82 | [
"84*63=5292",
"5292-44=5248",
"5248/64=82"
] | Current State: 82:[84, 64, 63, 44], Operations: []
Exploring Operation: 84*63=5292, Resulting Numbers: [64, 44, 5292]
Generated Node #2: [64, 44, 5292] from Operation: 84*63=5292
Current State: 82:[64, 44, 5292], Operations: ['84*63=5292']
Exploring Operation: 5292-44=5248, Resulting Numbers: [64, 5248]
Generated Node #3: [64, 5248] from Operation: 5292-44=5248
Current State: 82:[64, 5248], Operations: ['84*63=5292', '5292-44=5248']
Exploring Operation: 5248/64=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[84, 64, 63, 44], Operations: []
Exploring Operation: 84-44=40, Resulting Numbers: [64, 63, 40]
Generated Node #0,0: 82:[64, 63, 40] Operation: 84-44=40
Exploring Operation: 63-44=19, Resulting Numbers: [84, 64, 19]
Generated Node #0,1: 82:[84, 64, 19] Operation: 63-44=19
Exploring Operation: 64-44=20, Resulting Numbers: [84, 63, 20]
Generated Node #0,2: 82:[84, 63, 20] Operation: 64-44=20
Exploring Operation: 84-64=20, Resulting Numbers: [63, 44, 20]
Generated Node #0,3: 82:[63, 44, 20] Operation: 84-64=20
Exploring Operation: 64-63=1, Resulting Numbers: [84, 44, 1]
Generated Node #0,4: 82:[84, 44, 1] Operation: 64-63=1
Moving to Node #0,4
Current State: 82:[84, 44, 1], Operations: ['64-63=1']
Exploring Operation: 84*1=84, Resulting Numbers: [44, 84]
Generated Node #0,4,0: 82:[44, 84] Operation: 84*1=84
Exploring Operation: 84/1=84, Resulting Numbers: [44, 84]
Generated Node #0,4,1: 82:[44, 84] Operation: 84/1=84
Exploring Operation: 84-44=40, Resulting Numbers: [1, 40]
Generated Node #0,4,2: 82:[1, 40] Operation: 84-44=40
Exploring Operation: 44-1=43, Resulting Numbers: [84, 43]
Generated Node #0,4,3: 82:[84, 43] Operation: 44-1=43
Exploring Operation: 84-1=83, Resulting Numbers: [44, 83]
Generated Node #0,4,4: 82:[44, 83] Operation: 84-1=83
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 82:[1, 40], Operations: ['64-63=1', '84-44=40']
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 1+40=41, Resulting Numbers: [41]
41,82 unequal: No Solution
Exploring Operation: 1*40=40, Resulting Numbers: [40]
40,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 82:[84, 43], Operations: ['64-63=1', '44-1=43']
Exploring Operation: 84-43=41, Resulting Numbers: [41]
41,82 unequal: No Solution
Exploring Operation: 84*43=3612, Resulting Numbers: [3612]
3612,82 unequal: No Solution
Exploring Operation: 84+43=127, Resulting Numbers: [127]
127,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 82:[44, 83], Operations: ['64-63=1', '84-1=83']
Exploring Operation: 44*83=3652, Resulting Numbers: [3652]
3652,82 unequal: No Solution
Exploring Operation: 44+83=127, Resulting Numbers: [127]
127,82 unequal: No Solution
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 82:[44, 84], Operations: ['64-63=1', '84*1=84']
Exploring Operation: 44*84=3696, Resulting Numbers: [3696]
3696,82 unequal: No Solution
Exploring Operation: 84-44=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 44+84=128, Resulting Numbers: [128]
128,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 82:[44, 84], Operations: ['64-63=1', '84/1=84']
Exploring Operation: 44*84=3696, Resulting Numbers: [3696]
3696,82 unequal: No Solution
Exploring Operation: 84-44=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 44+84=128, Resulting Numbers: [128]
128,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 82:[84, 64, 19], Operations: ['63-44=19']
Exploring Operation: 84-64=20, Resulting Numbers: [19, 20]
Generated Node #0,1,0: 82:[19, 20] Operation: 84-64=20
Exploring Operation: 84-19=65, Resulting Numbers: [64, 65]
Generated Node #0,1,1: 82:[64, 65] Operation: 84-19=65
Exploring Operation: 84+19=103, Resulting Numbers: [64, 103]
Generated Node #0,1,2: 82:[64, 103] Operation: 84+19=103
Exploring Operation: 64+19=83, Resulting Numbers: [84, 83]
Generated Node #0,1,3: 82:[84, 83] Operation: 64+19=83
Exploring Operation: 64-19=45, Resulting Numbers: [84, 45]
Generated Node #0,1,4: 82:[84, 45] Operation: 64-19=45
Moving to Node #0,0
Current State: 82:[64, 63, 40], Operations: ['84-44=40']
Exploring Operation: 64-40=24, Resulting Numbers: [63, 24]
Generated Node #0,0,0: 82:[63, 24] Operation: 64-40=24
Exploring Operation: 64-63=1, Resulting Numbers: [40, 1]
Generated Node #0,0,1: 82:[40, 1] Operation: 64-63=1
Exploring Operation: 63-40=23, Resulting Numbers: [64, 23]
Generated Node #0,0,2: 82:[64, 23] Operation: 63-40=23
Exploring Operation: 63+40=103, Resulting Numbers: [64, 103]
Generated Node #0,0,3: 82:[64, 103] Operation: 63+40=103
Exploring Operation: 64+40=104, Resulting Numbers: [63, 104]
Generated Node #0,0,4: 82:[63, 104] Operation: 64+40=104
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 82:[40, 1], Operations: ['84-44=40', '64-63=1']
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 40+1=41, Resulting Numbers: [41]
41,82 unequal: No Solution
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[63, 24], Operations: ['84-44=40', '64-40=24']
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 63+24=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Exploring Operation: 63*24=1512, Resulting Numbers: [1512]
1512,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 82:[64, 23], Operations: ['84-44=40', '63-40=23']
Exploring Operation: 64*23=1472, Resulting Numbers: [1472]
1472,82 unequal: No Solution
Exploring Operation: 64+23=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 82:[64, 103], Operations: ['84-44=40', '63+40=103']
Exploring Operation: 103-64=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 64*103=6592, Resulting Numbers: [6592]
6592,82 unequal: No Solution
Exploring Operation: 64+103=167, Resulting Numbers: [167]
167,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 82:[63, 104], Operations: ['84-44=40', '64+40=104']
Exploring Operation: 63+104=167, Resulting Numbers: [167]
167,82 unequal: No Solution
Exploring Operation: 104-63=41, Resulting Numbers: [41]
41,82 unequal: No Solution
Exploring Operation: 63*104=6552, Resulting Numbers: [6552]
6552,82 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: 82:[84, 63, 20], Operations: ['64-44=20']
Exploring Operation: 63+20=83, Resulting Numbers: [84, 83]
Generated Node #0,2,0: 82:[84, 83] Operation: 63+20=83
Exploring Operation: 63-20=43, Resulting Numbers: [84, 43]
Generated Node #0,2,1: 82:[84, 43] Operation: 63-20=43
Exploring Operation: 84+20=104, Resulting Numbers: [63, 104]
Generated Node #0,2,2: 82:[63, 104] Operation: 84+20=104
Exploring Operation: 84-20=64, Resulting Numbers: [63, 64]
Generated Node #0,2,3: 82:[63, 64] Operation: 84-20=64
Exploring Operation: 84-63=21, Resulting Numbers: [20, 21]
Generated Node #0,2,4: 82:[20, 21] Operation: 84-63=21
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 82:[84, 83], Operations: ['64-44=20', '63+20=83']
Exploring Operation: 84*83=6972, Resulting Numbers: [6972]
6972,82 unequal: No Solution
Exploring Operation: 84-83=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 84+83=167, Resulting Numbers: [167]
167,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 82:[84, 43], Operations: ['64-44=20', '63-20=43']
Exploring Operation: 84*43=3612, Resulting Numbers: [3612]
3612,82 unequal: No Solution
Exploring Operation: 84+43=127, Resulting Numbers: [127]
127,82 unequal: No Solution
Exploring Operation: 84-43=41, Resulting Numbers: [41]
41,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 82:[63, 64], Operations: ['64-44=20', '84-20=64']
Exploring Operation: 64-63=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 63*64=4032, Resulting Numbers: [4032]
4032,82 unequal: No Solution
Exploring Operation: 63+64=127, Resulting Numbers: [127]
127,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 82:[20, 21], Operations: ['64-44=20', '84-63=21']
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,82 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 82:[63, 104], Operations: ['64-44=20', '84+20=104']
Exploring Operation: 63+104=167, Resulting Numbers: [167]
167,82 unequal: No Solution
Exploring Operation: 63*104=6552, Resulting Numbers: [6552]
6552,82 unequal: No Solution
Exploring Operation: 104-63=41, Resulting Numbers: [41]
41,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 82:[63, 44, 20], Operations: ['84-64=20']
Exploring Operation: 63-20=43, Resulting Numbers: [44, 43]
Generated Node #0,3,0: 82:[44, 43] Operation: 63-20=43
Exploring Operation: 44-20=24, Resulting Numbers: [63, 24]
Generated Node #0,3,1: 82:[63, 24] Operation: 44-20=24
Exploring Operation: 44+20=64, Resulting Numbers: [63, 64]
Generated Node #0,3,2: 82:[63, 64] Operation: 44+20=64
Exploring Operation: 63-44=19, Resulting Numbers: [20, 19]
Generated Node #0,3,3: 82:[20, 19] Operation: 63-44=19
Exploring Operation: 63+20=83, Resulting Numbers: [44, 83]
Generated Node #0,3,4: 82:[44, 83] Operation: 63+20=83
Moving to Node #0,1,3
Current State: 82:[84, 83], Operations: ['63-44=19', '64+19=83']
Exploring Operation: 84+83=167, Resulting Numbers: [167]
167,82 unequal: No Solution
Exploring Operation: 84-83=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 84*83=6972, Resulting Numbers: [6972]
6972,82 unequal: No Solution
Moving to Node #0,3,4
Current State: 82:[44, 83], Operations: ['84-64=20', '63+20=83']
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 44+83=127, Resulting Numbers: [127]
127,82 unequal: No Solution
Exploring Operation: 44*83=3652, Resulting Numbers: [3652]
3652,82 unequal: No Solution
Moving to Node #0,3,0
Current State: 82:[44, 43], Operations: ['84-64=20', '63-20=43']
Exploring Operation: 44*43=1892, Resulting Numbers: [1892]
1892,82 unequal: No Solution
Exploring Operation: 44+43=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Moving to Node #0,1,4
Current State: 82:[84, 45], Operations: ['63-44=19', '64-19=45']
Exploring Operation: 84*45=3780, Resulting Numbers: [3780]
3780,82 unequal: No Solution
Exploring Operation: 84-45=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 84+45=129, Resulting Numbers: [129]
129,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[19, 20], Operations: ['63-44=19', '84-64=20']
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[64, 65], Operations: ['63-44=19', '84-19=65']
Exploring Operation: 64+65=129, Resulting Numbers: [129]
129,82 unequal: No Solution
Exploring Operation: 64*65=4160, Resulting Numbers: [4160]
4160,82 unequal: No Solution
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[20, 19], Operations: ['84-64=20', '63-44=19']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,82 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Moving to Node #0,3,1
Current State: 82:[63, 24], Operations: ['84-64=20', '44-20=24']
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 63+24=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Exploring Operation: 63*24=1512, Resulting Numbers: [1512]
1512,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[63, 64], Operations: ['84-64=20', '44+20=64']
Exploring Operation: 63*64=4032, Resulting Numbers: [4032]
4032,82 unequal: No Solution
Exploring Operation: 64-63=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 63+64=127, Resulting Numbers: [127]
127,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[64, 103], Operations: ['63-44=19', '84+19=103']
Exploring Operation: 103-64=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 64*103=6592, Resulting Numbers: [6592]
6592,82 unequal: No Solution
Exploring Operation: 64+103=167, Resulting Numbers: [167]
167,82 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
18,
77,
51,
5
] | 55 | [
"77-5=72",
"72/18=4",
"51+4=55"
] | Current State: 55:[18, 77, 51, 5], Operations: []
Exploring Operation: 77-5=72, Resulting Numbers: [18, 51, 72]
Generated Node #2: [18, 51, 72] from Operation: 77-5=72
Current State: 55:[18, 51, 72], Operations: ['77-5=72']
Exploring Operation: 72/18=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 72/18=4
Current State: 55:[51, 4], Operations: ['77-5=72', '72/18=4']
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[18, 77, 51, 5], Operations: []
Exploring Operation: 77-5=72, Resulting Numbers: [18, 51, 72]
Generated Node #0,0: 55:[18, 51, 72] Operation: 77-5=72
Exploring Operation: 77-18=59, Resulting Numbers: [51, 5, 59]
Generated Node #0,1: 55:[51, 5, 59] Operation: 77-18=59
Exploring Operation: 18-5=13, Resulting Numbers: [77, 51, 13]
Generated Node #0,2: 55:[77, 51, 13] Operation: 18-5=13
Exploring Operation: 77-51=26, Resulting Numbers: [18, 5, 26]
Generated Node #0,3: 55:[18, 5, 26] Operation: 77-51=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[51, 5, 59], Operations: ['77-18=59']
Exploring Operation: 59-51=8, Resulting Numbers: [5, 8]
Generated Node #0,1,0: 55:[5, 8] Operation: 59-51=8
Exploring Operation: 51+5=56, Resulting Numbers: [59, 56]
Generated Node #0,1,1: 55:[59, 56] Operation: 51+5=56
Exploring Operation: 51-5=46, Resulting Numbers: [59, 46]
Generated Node #0,1,2: 55:[59, 46] Operation: 51-5=46
Exploring Operation: 59-5=54, Resulting Numbers: [51, 54]
Generated Node #0,1,3: 55:[51, 54] Operation: 59-5=54
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 55:[5, 8], Operations: ['77-18=59', '59-51=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,55 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 55:[59, 56], Operations: ['77-18=59', '51+5=56']
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,55 unequal: No Solution
Exploring Operation: 59*56=3304, Resulting Numbers: [3304]
3304,55 unequal: No Solution
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 55:[51, 54], Operations: ['77-18=59', '59-5=54']
Exploring Operation: 51+54=105, Resulting Numbers: [105]
105,55 unequal: No Solution
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 51*54=2754, Resulting Numbers: [2754]
2754,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 55:[59, 46], Operations: ['77-18=59', '51-5=46']
Exploring Operation: 59+46=105, Resulting Numbers: [105]
105,55 unequal: No Solution
Exploring Operation: 59*46=2714, Resulting Numbers: [2714]
2714,55 unequal: No Solution
Exploring Operation: 59-46=13, Resulting Numbers: [13]
13,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[18, 5, 26], Operations: ['77-51=26']
Exploring Operation: 18-5=13, Resulting Numbers: [26, 13]
Generated Node #0,3,0: 55:[26, 13] Operation: 18-5=13
Exploring Operation: 26-5=21, Resulting Numbers: [18, 21]
Generated Node #0,3,1: 55:[18, 21] Operation: 26-5=21
Exploring Operation: 18+26=44, Resulting Numbers: [5, 44]
Generated Node #0,3,2: 55:[5, 44] Operation: 18+26=44
Exploring Operation: 26-18=8, Resulting Numbers: [5, 8]
Generated Node #0,3,3: 55:[5, 8] Operation: 26-18=8
Moving to Node #0,3,3
Current State: 55:[5, 8], Operations: ['77-51=26', '26-18=8']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,55 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[5, 44], Operations: ['77-51=26', '18+26=44']
Exploring Operation: 5*44=220, Resulting Numbers: [220]
220,55 unequal: No Solution
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[18, 21], Operations: ['77-51=26', '26-5=21']
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,55 unequal: No Solution
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[26, 13], Operations: ['77-51=26', '18-5=13']
Exploring Operation: 26+13=39, Resulting Numbers: [39]
39,55 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,55 unequal: No Solution
Exploring Operation: 26*13=338, Resulting Numbers: [338]
338,55 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[18, 51, 72], Operations: ['77-5=72']
Exploring Operation: 72-51=21, Resulting Numbers: [18, 21]
Generated Node #0,0,0: 55:[18, 21] Operation: 72-51=21
Exploring Operation: 72/18=4, Resulting Numbers: [51, 4]
Generated Node #0,0,1: 55:[51, 4] Operation: 72/18=4
Exploring Operation: 18+51=69, Resulting Numbers: [72, 69]
Generated Node #0,0,2: 55:[72, 69] Operation: 18+51=69
Exploring Operation: 72-18=54, Resulting Numbers: [51, 54]
Generated Node #0,0,3: 55:[51, 54] Operation: 72-18=54
Moving to Node #0,0,1
Current State: 55:[51, 4], Operations: ['77-5=72', '72/18=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,55 unequal: No Solution
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[18, 77, 51, 5], Operations: []
Exploring Operation: 77-5=72, Resulting Numbers: [18, 51, 72]
Generated Node #0,0: 55:[18, 51, 72] Operation: 77-5=72
Moving to Node #0,0
Current State: 55:[18, 51, 72], Operations: ['77-5=72']
Exploring Operation: 72/18=4, Resulting Numbers: [51, 4]
Generated Node #0,0,1: 55:[51, 4] Operation: 72/18=4
Moving to Node #0,0,1
Current State: 55:[51, 4], Operations: ['77-5=72', '72/18=4']
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_4 | mult_heuristic |
[
8,
31,
26,
28
] | 78 | [
"8+31=39",
"28-26=2",
"39*2=78"
] | Current State: 78:[8, 31, 26, 28], Operations: []
Exploring Operation: 8+31=39, Resulting Numbers: [26, 28, 39]
Generated Node #2: [26, 28, 39] from Operation: 8+31=39
Current State: 78:[26, 28, 39], Operations: ['8+31=39']
Exploring Operation: 28-26=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 28-26=2
Current State: 78:[39, 2], Operations: ['8+31=39', '28-26=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[8, 31, 26, 28], Operations: []
Exploring Operation: 31-8=23, Resulting Numbers: [26, 28, 23]
Generated Node #0,0: 78:[26, 28, 23] Operation: 31-8=23
Exploring Operation: 8+31=39, Resulting Numbers: [26, 28, 39]
Generated Node #0,1: 78:[26, 28, 39] Operation: 8+31=39
Exploring Operation: 31-28=3, Resulting Numbers: [8, 26, 3]
Generated Node #0,2: 78:[8, 26, 3] Operation: 31-28=3
Moving to Node #0,1
Current State: 78:[26, 28, 39], Operations: ['8+31=39']
Exploring Operation: 39-26=13, Resulting Numbers: [28, 13]
Generated Node #0,1,0: 78:[28, 13] Operation: 39-26=13
Exploring Operation: 28-26=2, Resulting Numbers: [39, 2]
Generated Node #0,1,1: 78:[39, 2] Operation: 28-26=2
Exploring Operation: 39-28=11, Resulting Numbers: [26, 11]
Generated Node #0,1,2: 78:[26, 11] Operation: 39-28=11
Moving to Node #0,2
Current State: 78:[8, 26, 3], Operations: ['31-28=3']
Exploring Operation: 8*3=24, Resulting Numbers: [26, 24]
Generated Node #0,2,0: 78:[26, 24] Operation: 8*3=24
Exploring Operation: 8+3=11, Resulting Numbers: [26, 11]
Generated Node #0,2,1: 78:[26, 11] Operation: 8+3=11
Exploring Operation: 8-3=5, Resulting Numbers: [26, 5]
Generated Node #0,2,2: 78:[26, 5] Operation: 8-3=5
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 78:[26, 5], Operations: ['31-28=3', '8-3=5']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Exploring Operation: 26*5=130, Resulting Numbers: [130]
130,78 unequal: No Solution
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,78 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:[26, 24], Operations: ['31-28=3', '8*3=24']
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 26*24=624, Resulting Numbers: [624]
624,78 unequal: No Solution
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,78 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:[26, 11], Operations: ['31-28=3', '8+3=11']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 78:[26, 28, 23], Operations: ['31-8=23']
Exploring Operation: 28-23=5, Resulting Numbers: [26, 5]
Generated Node #0,0,0: 78:[26, 5] Operation: 28-23=5
Exploring Operation: 26-23=3, Resulting Numbers: [28, 3]
Generated Node #0,0,1: 78:[28, 3] Operation: 26-23=3
Exploring Operation: 28-26=2, Resulting Numbers: [23, 2]
Generated Node #0,0,2: 78:[23, 2] Operation: 28-26=2
Moving to Node #0,1,1
Current State: 78:[39, 2], Operations: ['8+31=39', '28-26=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[8, 31, 26, 28], Operations: []
Exploring Operation: 8+31=39, Resulting Numbers: [26, 28, 39]
Generated Node #0,1: 78:[26, 28, 39] Operation: 8+31=39
Moving to Node #0,1
Current State: 78:[26, 28, 39], Operations: ['8+31=39']
Exploring Operation: 28-26=2, Resulting Numbers: [39, 2]
Generated Node #0,1,1: 78:[39, 2] Operation: 28-26=2
Moving to Node #0,1,1
Current State: 78:[39, 2], Operations: ['8+31=39', '28-26=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
81,
94,
93,
30
] | 50 | [
"94-81=13",
"93-30=63",
"63-13=50"
] | Current State: 50:[81, 94, 93, 30], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [93, 30, 13]
Generated Node #2: [93, 30, 13] from Operation: 94-81=13
Current State: 50:[93, 30, 13], Operations: ['94-81=13']
Exploring Operation: 93-30=63, Resulting Numbers: [13, 63]
Generated Node #3: [13, 63] from Operation: 93-30=63
Current State: 50:[13, 63], Operations: ['94-81=13', '93-30=63']
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[81, 94, 93, 30], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [93, 30, 13]
Generated Node #0,0: 50:[93, 30, 13] Operation: 94-81=13
Exploring Operation: 94-93=1, Resulting Numbers: [81, 30, 1]
Generated Node #0,1: 50:[81, 30, 1] Operation: 94-93=1
Moving to Node #0,1
Current State: 50:[81, 30, 1], Operations: ['94-93=1']
Exploring Operation: 81-30=51, Resulting Numbers: [1, 51]
Generated Node #0,1,0: 50:[1, 51] Operation: 81-30=51
Exploring Operation: 81-1=80, Resulting Numbers: [30, 80]
Generated Node #0,1,1: 50:[30, 80] Operation: 81-1=80
Moving to Node #0,0
Current State: 50:[93, 30, 13], Operations: ['94-81=13']
Exploring Operation: 93-13=80, Resulting Numbers: [30, 80]
Generated Node #0,0,0: 50:[30, 80] Operation: 93-13=80
Exploring Operation: 93-30=63, Resulting Numbers: [13, 63]
Generated Node #0,0,1: 50:[13, 63] Operation: 93-30=63
Moving to Node #0,1,0
Current State: 50:[1, 51], Operations: ['94-93=1', '81-30=51']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[81, 94, 93, 30], Operations: []
Exploring Operation: 94-93=1, Resulting Numbers: [81, 30, 1]
Generated Node #0,1: 50:[81, 30, 1] Operation: 94-93=1
Moving to Node #0,1
Current State: 50:[81, 30, 1], Operations: ['94-93=1']
Exploring Operation: 81-30=51, Resulting Numbers: [1, 51]
Generated Node #0,1,0: 50:[1, 51] Operation: 81-30=51
Moving to Node #0,1,0
Current State: 50:[1, 51], Operations: ['94-93=1', '81-30=51']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
56,
63,
96,
35
] | 73 | [
"63*96=6048",
"6048/56=108",
"108-35=73"
] | Current State: 73:[56, 63, 96, 35], Operations: []
Exploring Operation: 63*96=6048, Resulting Numbers: [56, 35, 6048]
Generated Node #2: [56, 35, 6048] from Operation: 63*96=6048
Current State: 73:[56, 35, 6048], Operations: ['63*96=6048']
Exploring Operation: 6048/56=108, Resulting Numbers: [35, 108]
Generated Node #3: [35, 108] from Operation: 6048/56=108
Current State: 73:[35, 108], Operations: ['63*96=6048', '6048/56=108']
Exploring Operation: 108-35=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[56, 63, 96, 35], Operations: []
Exploring Operation: 56+35=91, Resulting Numbers: [63, 96, 91]
Generated Node #0,0: 73:[63, 96, 91] Operation: 56+35=91
Exploring Operation: 96-35=61, Resulting Numbers: [56, 63, 61]
Generated Node #0,1: 73:[56, 63, 61] Operation: 96-35=61
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[56, 63, 61], Operations: ['96-35=61']
Exploring Operation: 56+61=117, Resulting Numbers: [63, 117]
Generated Node #0,1,0: 73:[63, 117] Operation: 56+61=117
Exploring Operation: 56+63=119, Resulting Numbers: [61, 119]
Generated Node #0,1,1: 73:[61, 119] Operation: 56+63=119
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[63, 117], Operations: ['96-35=61', '56+61=117']
Exploring Operation: 117-63=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Exploring Operation: 63+117=180, Resulting Numbers: [180]
180,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[61, 119], Operations: ['96-35=61', '56+63=119']
Exploring Operation: 119-61=58, Resulting Numbers: [58]
58,73 unequal: No Solution
Exploring Operation: 61+119=180, Resulting Numbers: [180]
180,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[63, 96, 91], Operations: ['56+35=91']
Exploring Operation: 96-63=33, Resulting Numbers: [91, 33]
Generated Node #0,0,0: 73:[91, 33] Operation: 96-63=33
Exploring Operation: 91-63=28, Resulting Numbers: [96, 28]
Generated Node #0,0,1: 73:[96, 28] Operation: 91-63=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[91, 33], Operations: ['56+35=91', '96-63=33']
Exploring Operation: 91+33=124, Resulting Numbers: [124]
124,73 unequal: No Solution
Exploring Operation: 91-33=58, Resulting Numbers: [58]
58,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[96, 28], Operations: ['56+35=91', '91-63=28']
Exploring Operation: 96-28=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Exploring Operation: 96+28=124, Resulting Numbers: [124]
124,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
47,
50,
75,
42
] | 89 | [
"50-47=3",
"42/3=14",
"75+14=89"
] | Current State: 89:[47, 50, 75, 42], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [75, 42, 3]
Generated Node #2: [75, 42, 3] from Operation: 50-47=3
Current State: 89:[75, 42, 3], Operations: ['50-47=3']
Exploring Operation: 42/3=14, Resulting Numbers: [75, 14]
Generated Node #3: [75, 14] from Operation: 42/3=14
Current State: 89:[75, 14], Operations: ['50-47=3', '42/3=14']
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[47, 50, 75, 42], Operations: []
Exploring Operation: 47+42=89, Resulting Numbers: [50, 75, 89]
Generated Node #0,0: 89:[50, 75, 89] Operation: 47+42=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[50, 75, 89], Operations: ['47+42=89']
Exploring Operation: 50+75=125, Resulting Numbers: [89, 125]
Generated Node #0,0,0: 89:[89, 125] Operation: 50+75=125
Moving to Node #0,0,0
Current State: 89:[89, 125], Operations: ['47+42=89', '50+75=125']
Exploring Operation: 125-89=36, Resulting Numbers: [36]
36,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
38,
83,
95,
26
] | 18 | [
"95*26=2470",
"2470/38=65",
"83-65=18"
] | Current State: 18:[38, 83, 95, 26], Operations: []
Exploring Operation: 95*26=2470, Resulting Numbers: [38, 83, 2470]
Generated Node #2: [38, 83, 2470] from Operation: 95*26=2470
Current State: 18:[38, 83, 2470], Operations: ['95*26=2470']
Exploring Operation: 2470/38=65, Resulting Numbers: [83, 65]
Generated Node #3: [83, 65] from Operation: 2470/38=65
Current State: 18:[83, 65], Operations: ['95*26=2470', '2470/38=65']
Exploring Operation: 83-65=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[38, 83, 95, 26], Operations: []
Exploring Operation: 95-38=57, Resulting Numbers: [83, 26, 57]
Generated Node #0,0: 18:[83, 26, 57] Operation: 95-38=57
Exploring Operation: 95-83=12, Resulting Numbers: [38, 26, 12]
Generated Node #0,1: 18:[38, 26, 12] Operation: 95-83=12
Exploring Operation: 83-38=45, Resulting Numbers: [95, 26, 45]
Generated Node #0,2: 18:[95, 26, 45] Operation: 83-38=45
Exploring Operation: 95-26=69, Resulting Numbers: [38, 83, 69]
Generated Node #0,3: 18:[38, 83, 69] Operation: 95-26=69
Exploring Operation: 83-26=57, Resulting Numbers: [38, 95, 57]
Generated Node #0,4: 18:[38, 95, 57] Operation: 83-26=57
Moving to Node #0,1
Current State: 18:[38, 26, 12], Operations: ['95-83=12']
Exploring Operation: 38-26=12, Resulting Numbers: [12, 12]
Generated Node #0,1,0: 18:[12, 12] Operation: 38-26=12
Exploring Operation: 26+12=38, Resulting Numbers: [38, 38]
Generated Node #0,1,1: 18:[38, 38] Operation: 26+12=38
Exploring Operation: 26-12=14, Resulting Numbers: [38, 14]
Generated Node #0,1,2: 18:[38, 14] Operation: 26-12=14
Exploring Operation: 38-12=26, Resulting Numbers: [26, 26]
Generated Node #0,1,3: 18:[26, 26] Operation: 38-12=26
Exploring Operation: 38+12=50, Resulting Numbers: [26, 50]
Generated Node #0,1,4: 18:[26, 50] Operation: 38+12=50
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[12, 12], Operations: ['95-83=12', '38-26=12']
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,18 unequal: No Solution
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 18:[26, 26], Operations: ['95-83=12', '38-12=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,18 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,18 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,18 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 18:[38, 14], Operations: ['95-83=12', '26-12=14']
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,18 unequal: No Solution
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,18 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[38, 38], Operations: ['95-83=12', '26+12=38']
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 38*38=1444, Resulting Numbers: [1444]
1444,18 unequal: No Solution
Exploring Operation: 38/38=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 38-38=0, Resulting Numbers: [0]
0,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 18:[26, 50], Operations: ['95-83=12', '38+12=50']
Exploring Operation: 26+50=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 26*50=1300, Resulting Numbers: [1300]
1300,18 unequal: No Solution
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,18 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: 18:[95, 26, 45], Operations: ['83-38=45']
Exploring Operation: 95-26=69, Resulting Numbers: [45, 69]
Generated Node #0,2,0: 18:[45, 69] Operation: 95-26=69
Exploring Operation: 45-26=19, Resulting Numbers: [95, 19]
Generated Node #0,2,1: 18:[95, 19] Operation: 45-26=19
Exploring Operation: 95+26=121, Resulting Numbers: [45, 121]
Generated Node #0,2,2: 18:[45, 121] Operation: 95+26=121
Exploring Operation: 95+45=140, Resulting Numbers: [26, 140]
Generated Node #0,2,3: 18:[26, 140] Operation: 95+45=140
Exploring Operation: 95-45=50, Resulting Numbers: [26, 50]
Generated Node #0,2,4: 18:[26, 50] Operation: 95-45=50
Moving to Node #0,0
Current State: 18:[83, 26, 57], Operations: ['95-38=57']
Exploring Operation: 83+26=109, Resulting Numbers: [57, 109]
Generated Node #0,0,0: 18:[57, 109] Operation: 83+26=109
Exploring Operation: 57-26=31, Resulting Numbers: [83, 31]
Generated Node #0,0,1: 18:[83, 31] Operation: 57-26=31
Exploring Operation: 83+57=140, Resulting Numbers: [26, 140]
Generated Node #0,0,2: 18:[26, 140] Operation: 83+57=140
Exploring Operation: 83-57=26, Resulting Numbers: [26, 26]
Generated Node #0,0,3: 18:[26, 26] Operation: 83-57=26
Exploring Operation: 83-26=57, Resulting Numbers: [57, 57]
Generated Node #0,0,4: 18:[57, 57] Operation: 83-26=57
Moving to Node #0,3
Current State: 18:[38, 83, 69], Operations: ['95-26=69']
Exploring Operation: 38+83=121, Resulting Numbers: [69, 121]
Generated Node #0,3,0: 18:[69, 121] Operation: 38+83=121
Exploring Operation: 69-38=31, Resulting Numbers: [83, 31]
Generated Node #0,3,1: 18:[83, 31] Operation: 69-38=31
Exploring Operation: 83-69=14, Resulting Numbers: [38, 14]
Generated Node #0,3,2: 18:[38, 14] Operation: 83-69=14
Exploring Operation: 83-38=45, Resulting Numbers: [69, 45]
Generated Node #0,3,3: 18:[69, 45] Operation: 83-38=45
Exploring Operation: 38+69=107, Resulting Numbers: [83, 107]
Generated Node #0,3,4: 18:[83, 107] Operation: 38+69=107
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 18:[38, 14], Operations: ['95-26=69', '83-69=14']
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,18 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,18 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:[83, 31], Operations: ['95-26=69', '69-38=31']
Exploring Operation: 83*31=2573, Resulting Numbers: [2573]
2573,18 unequal: No Solution
Exploring Operation: 83+31=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,18 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:[69, 45], Operations: ['95-26=69', '83-38=45']
Exploring Operation: 69*45=3105, Resulting Numbers: [3105]
3105,18 unequal: No Solution
Exploring Operation: 69+45=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 69-45=24, Resulting Numbers: [24]
24,18 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:[69, 121], Operations: ['95-26=69', '38+83=121']
Exploring Operation: 69+121=190, Resulting Numbers: [190]
190,18 unequal: No Solution
Exploring Operation: 121-69=52, Resulting Numbers: [52]
52,18 unequal: No Solution
Exploring Operation: 69*121=8349, Resulting Numbers: [8349]
8349,18 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 #0,3,4
Current State: 18:[83, 107], Operations: ['95-26=69', '38+69=107']
Exploring Operation: 83+107=190, Resulting Numbers: [190]
190,18 unequal: No Solution
Exploring Operation: 107-83=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 83*107=8881, Resulting Numbers: [8881]
8881,18 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:[38, 95, 57], Operations: ['83-26=57']
Exploring Operation: 95-57=38, Resulting Numbers: [38, 38]
Generated Node #0,4,0: 18:[38, 38] Operation: 95-57=38
Exploring Operation: 57-38=19, Resulting Numbers: [95, 19]
Generated Node #0,4,1: 18:[95, 19] Operation: 57-38=19
Exploring Operation: 95-38=57, Resulting Numbers: [57, 57]
Generated Node #0,4,2: 18:[57, 57] Operation: 95-38=57
Exploring Operation: 38+57=95, Resulting Numbers: [95, 95]
Generated Node #0,4,3: 18:[95, 95] Operation: 38+57=95
Exploring Operation: 38+95=133, Resulting Numbers: [57, 133]
Generated Node #0,4,4: 18:[57, 133] Operation: 38+95=133
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 18:[38, 38], Operations: ['83-26=57', '95-57=38']
Exploring Operation: 38*38=1444, Resulting Numbers: [1444]
1444,18 unequal: No Solution
Exploring Operation: 38/38=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 38-38=0, Resulting Numbers: [0]
0,18 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:[95, 19], Operations: ['83-26=57', '57-38=19']
Exploring Operation: 95+19=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 95-19=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 95/19=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 95*19=1805, Resulting Numbers: [1805]
1805,18 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 #0,4,2
Current State: 18:[57, 57], Operations: ['83-26=57', '95-38=57']
Exploring Operation: 57-57=0, Resulting Numbers: [0]
0,18 unequal: No Solution
Exploring Operation: 57+57=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 57/57=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 57*57=3249, Resulting Numbers: [3249]
3249,18 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:[95, 95], Operations: ['83-26=57', '38+57=95']
Exploring Operation: 95+95=190, Resulting Numbers: [190]
190,18 unequal: No Solution
Exploring Operation: 95*95=9025, Resulting Numbers: [9025]
9025,18 unequal: No Solution
Exploring Operation: 95/95=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 95-95=0, Resulting Numbers: [0]
0,18 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:[57, 133], Operations: ['83-26=57', '38+95=133']
Exploring Operation: 133-57=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 57+133=190, Resulting Numbers: [190]
190,18 unequal: No Solution
Exploring Operation: 57*133=7581, Resulting Numbers: [7581]
7581,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 18:[26, 26], Operations: ['95-38=57', '83-57=26']
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,18 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,18 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,18 unequal: No Solution
Moving to Node #0,2,4
Current State: 18:[26, 50], Operations: ['83-38=45', '95-45=50']
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 26+50=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 26*50=1300, Resulting Numbers: [1300]
1300,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[83, 31], Operations: ['95-38=57', '57-26=31']
Exploring Operation: 83*31=2573, Resulting Numbers: [2573]
2573,18 unequal: No Solution
Exploring Operation: 83+31=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,18 unequal: No Solution
Moving to Node #0,2,1
Current State: 18:[95, 19], Operations: ['83-38=45', '45-26=19']
Exploring Operation: 95/19=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 95+19=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 95-19=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 95*19=1805, Resulting Numbers: [1805]
1805,18 unequal: No Solution
Moving to Node #0,2,0
Current State: 18:[45, 69], Operations: ['83-38=45', '95-26=69']
Exploring Operation: 45*69=3105, Resulting Numbers: [3105]
3105,18 unequal: No Solution
Exploring Operation: 69-45=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 45+69=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Moving to Node #0,0,4
Current State: 18:[57, 57], Operations: ['95-38=57', '83-26=57']
Exploring Operation: 57/57=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 57-57=0, Resulting Numbers: [0]
0,18 unequal: No Solution
Exploring Operation: 57*57=3249, Resulting Numbers: [3249]
3249,18 unequal: No Solution
Exploring Operation: 57+57=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[26, 140], Operations: ['95-38=57', '83+57=140']
Exploring Operation: 26+140=166, Resulting Numbers: [166]
166,18 unequal: No Solution
Exploring Operation: 26*140=3640, Resulting Numbers: [3640]
3640,18 unequal: No Solution
Exploring Operation: 140-26=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[57, 109], Operations: ['95-38=57', '83+26=109']
Exploring Operation: 109-57=52, Resulting Numbers: [52]
52,18 unequal: No Solution
Exploring Operation: 57+109=166, Resulting Numbers: [166]
166,18 unequal: No Solution
Exploring Operation: 57*109=6213, Resulting Numbers: [6213]
6213,18 unequal: No Solution
Moving to Node #0,2,3
Current State: 18:[26, 140], Operations: ['83-38=45', '95+45=140']
Exploring Operation: 140-26=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 26*140=3640, Resulting Numbers: [3640]
3640,18 unequal: No Solution
Exploring Operation: 26+140=166, Resulting Numbers: [166]
166,18 unequal: No Solution
Moving to Node #0,2,2
Current State: 18:[45, 121], Operations: ['83-38=45', '95+26=121']
Exploring Operation: 121-45=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 45*121=5445, Resulting Numbers: [5445]
5445,18 unequal: No Solution
Exploring Operation: 45+121=166, Resulting Numbers: [166]
166,18 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
43,
62,
38,
72
] | 46 | [
"62-38=24",
"72/24=3",
"43+3=46"
] | Current State: 46:[43, 62, 38, 72], Operations: []
Exploring Operation: 62-38=24, Resulting Numbers: [43, 72, 24]
Generated Node #2: [43, 72, 24] from Operation: 62-38=24
Current State: 46:[43, 72, 24], Operations: ['62-38=24']
Exploring Operation: 72/24=3, Resulting Numbers: [43, 3]
Generated Node #3: [43, 3] from Operation: 72/24=3
Current State: 46:[43, 3], Operations: ['62-38=24', '72/24=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[43, 62, 38, 72], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [43, 38, 10]
Generated Node #0,0: 46:[43, 38, 10] Operation: 72-62=10
Exploring Operation: 72-43=29, Resulting Numbers: [62, 38, 29]
Generated Node #0,1: 46:[62, 38, 29] Operation: 72-43=29
Moving to Node #0,0
Current State: 46:[43, 38, 10], Operations: ['72-62=10']
Exploring Operation: 38-10=28, Resulting Numbers: [43, 28]
Generated Node #0,0,0: 46:[43, 28] Operation: 38-10=28
Exploring Operation: 38+10=48, Resulting Numbers: [43, 48]
Generated Node #0,0,1: 46:[43, 48] Operation: 38+10=48
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 46:[43, 48], Operations: ['72-62=10', '38+10=48']
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Exploring Operation: 43+48=91, Resulting Numbers: [91]
91,46 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:[43, 28], Operations: ['72-62=10', '38-10=28']
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,46 unequal: No Solution
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,46 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: 46:[62, 38, 29], Operations: ['72-43=29']
Exploring Operation: 62-38=24, Resulting Numbers: [29, 24]
Generated Node #0,1,0: 46:[29, 24] Operation: 62-38=24
Exploring Operation: 62-29=33, Resulting Numbers: [38, 33]
Generated Node #0,1,1: 46:[38, 33] Operation: 62-29=33
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[29, 24], Operations: ['72-43=29', '62-38=24']
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[38, 33], Operations: ['72-43=29', '62-29=33']
Exploring Operation: 38+33=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
12,
61,
15,
36
] | 28 | [
"61-12=49",
"36-15=21",
"49-21=28"
] | Current State: 28:[12, 61, 15, 36], Operations: []
Exploring Operation: 61-12=49, Resulting Numbers: [15, 36, 49]
Generated Node #2: [15, 36, 49] from Operation: 61-12=49
Current State: 28:[15, 36, 49], Operations: ['61-12=49']
Exploring Operation: 36-15=21, Resulting Numbers: [49, 21]
Generated Node #3: [49, 21] from Operation: 36-15=21
Current State: 28:[49, 21], Operations: ['61-12=49', '36-15=21']
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[12, 61, 15, 36], Operations: []
Exploring Operation: 61-15=46, Resulting Numbers: [12, 36, 46]
Generated Node #0,0: 28:[12, 36, 46] Operation: 61-15=46
Exploring Operation: 61-12=49, Resulting Numbers: [15, 36, 49]
Generated Node #0,1: 28:[15, 36, 49] Operation: 61-12=49
Exploring Operation: 36/12=3, Resulting Numbers: [61, 15, 3]
Generated Node #0,2: 28:[61, 15, 3] Operation: 36/12=3
Exploring Operation: 61-36=25, Resulting Numbers: [12, 15, 25]
Generated Node #0,3: 28:[12, 15, 25] Operation: 61-36=25
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[12, 15, 25], Operations: ['61-36=25']
Exploring Operation: 25-15=10, Resulting Numbers: [12, 10]
Generated Node #0,3,0: 28:[12, 10] Operation: 25-15=10
Exploring Operation: 12+15=27, Resulting Numbers: [25, 27]
Generated Node #0,3,1: 28:[25, 27] Operation: 12+15=27
Exploring Operation: 15-12=3, Resulting Numbers: [25, 3]
Generated Node #0,3,2: 28:[25, 3] Operation: 15-12=3
Exploring Operation: 25-12=13, Resulting Numbers: [15, 13]
Generated Node #0,3,3: 28:[15, 13] Operation: 25-12=13
Moving to Node #0,3,3
Current State: 28:[15, 13], Operations: ['61-36=25', '25-12=13']
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 15*13=195, Resulting Numbers: [195]
195,28 unequal: No Solution
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[12, 61, 15, 36], Operations: []
Exploring Operation: 61-36=25, Resulting Numbers: [12, 15, 25]
Generated Node #0,3: 28:[12, 15, 25] Operation: 61-36=25
Moving to Node #0,3
Current State: 28:[12, 15, 25], Operations: ['61-36=25']
Exploring Operation: 25-12=13, Resulting Numbers: [15, 13]
Generated Node #0,3,3: 28:[15, 13] Operation: 25-12=13
Moving to Node #0,3,3
Current State: 28:[15, 13], Operations: ['61-36=25', '25-12=13']
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
94,
53,
72,
74
] | 100 | [
"74-72=2",
"94/2=47",
"53+47=100"
] | Current State: 100:[94, 53, 72, 74], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [94, 53, 2]
Generated Node #2: [94, 53, 2] from Operation: 74-72=2
Current State: 100:[94, 53, 2], Operations: ['74-72=2']
Exploring Operation: 94/2=47, Resulting Numbers: [53, 47]
Generated Node #3: [53, 47] from Operation: 94/2=47
Current State: 100:[53, 47], Operations: ['74-72=2', '94/2=47']
Exploring Operation: 53+47=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[94, 53, 72, 74], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [94, 53, 2]
Generated Node #0,0: 100:[94, 53, 2] Operation: 74-72=2
Exploring Operation: 72-53=19, Resulting Numbers: [94, 74, 19]
Generated Node #0,1: 100:[94, 74, 19] Operation: 72-53=19
Exploring Operation: 74-53=21, Resulting Numbers: [94, 72, 21]
Generated Node #0,2: 100:[94, 72, 21] Operation: 74-53=21
Exploring Operation: 94-72=22, Resulting Numbers: [53, 74, 22]
Generated Node #0,3: 100:[53, 74, 22] Operation: 94-72=22
Exploring Operation: 94-74=20, Resulting Numbers: [53, 72, 20]
Generated Node #0,4: 100:[53, 72, 20] Operation: 94-74=20
Moving to Node #0,0
Current State: 100:[94, 53, 2], Operations: ['74-72=2']
Exploring Operation: 94-2=92, Resulting Numbers: [53, 92]
Generated Node #0,0,0: 100:[53, 92] Operation: 94-2=92
Exploring Operation: 53-2=51, Resulting Numbers: [94, 51]
Generated Node #0,0,1: 100:[94, 51] Operation: 53-2=51
Exploring Operation: 94/2=47, Resulting Numbers: [53, 47]
Generated Node #0,0,2: 100:[53, 47] Operation: 94/2=47
Exploring Operation: 94+2=96, Resulting Numbers: [53, 96]
Generated Node #0,0,3: 100:[53, 96] Operation: 94+2=96
Exploring Operation: 94-53=41, Resulting Numbers: [2, 41]
Generated Node #0,0,4: 100:[2, 41] Operation: 94-53=41
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 100:[53, 47], Operations: ['74-72=2', '94/2=47']
Exploring Operation: 53-47=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 53*47=2491, Resulting Numbers: [2491]
2491,100 unequal: No Solution
Exploring Operation: 53+47=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[94, 53, 72, 74], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [94, 53, 2]
Generated Node #0,0: 100:[94, 53, 2] Operation: 74-72=2
Moving to Node #0,0
Current State: 100:[94, 53, 2], Operations: ['74-72=2']
Exploring Operation: 94/2=47, Resulting Numbers: [53, 47]
Generated Node #0,0,2: 100:[53, 47] Operation: 94/2=47
Moving to Node #0,0,2
Current State: 100:[53, 47], Operations: ['74-72=2', '94/2=47']
Exploring Operation: 53+47=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
26,
26,
42,
47
] | 57 | [
"26+26=52",
"47-42=5",
"52+5=57"
] | Current State: 57:[26, 26, 42, 47], Operations: []
Exploring Operation: 26+26=52, Resulting Numbers: [42, 47, 52]
Generated Node #2: [42, 47, 52] from Operation: 26+26=52
Current State: 57:[42, 47, 52], Operations: ['26+26=52']
Exploring Operation: 47-42=5, Resulting Numbers: [52, 5]
Generated Node #3: [52, 5] from Operation: 47-42=5
Current State: 57:[52, 5], Operations: ['26+26=52', '47-42=5']
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[26, 26, 42, 47], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [26, 26, 5]
Generated Node #0,0: 57:[26, 26, 5] Operation: 47-42=5
Exploring Operation: 42-26=16, Resulting Numbers: [26, 47, 16]
Generated Node #0,1: 57:[26, 47, 16] Operation: 42-26=16
Moving to Node #0,0
Current State: 57:[26, 26, 5], Operations: ['47-42=5']
Exploring Operation: 26/26=1, Resulting Numbers: [5, 1]
Generated Node #0,0,0: 57:[5, 1] Operation: 26/26=1
Exploring Operation: 26-26=0, Resulting Numbers: [5, 0]
Generated Node #0,0,1: 57:[5, 0] Operation: 26-26=0
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[5, 1], Operations: ['47-42=5', '26/26=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 57:[5, 0], Operations: ['47-42=5', '26-26=0']
Exploring Operation: 5-0=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 5+0=5, Resulting Numbers: [5]
5,57 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: 57:[26, 47, 16], Operations: ['42-26=16']
Exploring Operation: 47+16=63, Resulting Numbers: [26, 63]
Generated Node #0,1,0: 57:[26, 63] Operation: 47+16=63
Exploring Operation: 47-26=21, Resulting Numbers: [16, 21]
Generated Node #0,1,1: 57:[16, 21] Operation: 47-26=21
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 57:[16, 21], Operations: ['42-26=16', '47-26=21']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 57:[26, 63], Operations: ['42-26=16', '47+16=63']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,57 unequal: No Solution
Exploring Operation: 26+63=89, Resulting Numbers: [89]
89,57 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 |
[
17,
12,
6,
33
] | 52 | [
"17+33=50",
"12/6=2",
"50+2=52"
] | Current State: 52:[17, 12, 6, 33], Operations: []
Exploring Operation: 17+33=50, Resulting Numbers: [12, 6, 50]
Generated Node #2: [12, 6, 50] from Operation: 17+33=50
Current State: 52:[12, 6, 50], Operations: ['17+33=50']
Exploring Operation: 12/6=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 12/6=2
Current State: 52:[50, 2], Operations: ['17+33=50', '12/6=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[17, 12, 6, 33], Operations: []
Exploring Operation: 17+33=50, Resulting Numbers: [12, 6, 50]
Generated Node #0,0: 52:[12, 6, 50] Operation: 17+33=50
Exploring Operation: 33-17=16, Resulting Numbers: [12, 6, 16]
Generated Node #0,1: 52:[12, 6, 16] Operation: 33-17=16
Moving to Node #0,0
Current State: 52:[12, 6, 50], Operations: ['17+33=50']
Exploring Operation: 12-6=6, Resulting Numbers: [50, 6]
Generated Node #0,0,0: 52:[50, 6] Operation: 12-6=6
Exploring Operation: 12/6=2, Resulting Numbers: [50, 2]
Generated Node #0,0,1: 52:[50, 2] Operation: 12/6=2
Moving to Node #0,1
Current State: 52:[12, 6, 16], Operations: ['33-17=16']
Exploring Operation: 16-12=4, Resulting Numbers: [6, 4]
Generated Node #0,1,0: 52:[6, 4] Operation: 16-12=4
Exploring Operation: 12/6=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 52:[16, 2] Operation: 12/6=2
Moving to Node #0,0,1
Current State: 52:[50, 2], Operations: ['17+33=50', '12/6=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[17, 12, 6, 33], Operations: []
Exploring Operation: 17+33=50, Resulting Numbers: [12, 6, 50]
Generated Node #0,0: 52:[12, 6, 50] Operation: 17+33=50
Moving to Node #0,0
Current State: 52:[12, 6, 50], Operations: ['17+33=50']
Exploring Operation: 12/6=2, Resulting Numbers: [50, 2]
Generated Node #0,0,1: 52:[50, 2] Operation: 12/6=2
Moving to Node #0,0,1
Current State: 52:[50, 2], Operations: ['17+33=50', '12/6=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
97,
88,
47,
3
] | 44 | [
"97+88=185",
"47*3=141",
"185-141=44"
] | Current State: 44:[97, 88, 47, 3], Operations: []
Exploring Operation: 97+88=185, Resulting Numbers: [47, 3, 185]
Generated Node #2: [47, 3, 185] from Operation: 97+88=185
Current State: 44:[47, 3, 185], Operations: ['97+88=185']
Exploring Operation: 47*3=141, Resulting Numbers: [185, 141]
Generated Node #3: [185, 141] from Operation: 47*3=141
Current State: 44:[185, 141], Operations: ['97+88=185', '47*3=141']
Exploring Operation: 185-141=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[97, 88, 47, 3], Operations: []
Exploring Operation: 88-47=41, Resulting Numbers: [97, 3, 41]
Generated Node #0,0: 44:[97, 3, 41] Operation: 88-47=41
Exploring Operation: 97-88=9, Resulting Numbers: [47, 3, 9]
Generated Node #0,1: 44:[47, 3, 9] Operation: 97-88=9
Exploring Operation: 97-47=50, Resulting Numbers: [88, 3, 50]
Generated Node #0,2: 44:[88, 3, 50] Operation: 97-47=50
Moving to Node #0,1
Current State: 44:[47, 3, 9], Operations: ['97-88=9']
Exploring Operation: 9/3=3, Resulting Numbers: [47, 3]
Generated Node #0,1,0: 44:[47, 3] Operation: 9/3=3
Exploring Operation: 3+9=12, Resulting Numbers: [47, 12]
Generated Node #0,1,1: 44:[47, 12] Operation: 3+9=12
Exploring Operation: 47-3=44, Resulting Numbers: [9, 44]
Generated Node #0,1,2: 44:[9, 44] Operation: 47-3=44
Moving to Node #0,2
Current State: 44:[88, 3, 50], Operations: ['97-47=50']
Exploring Operation: 50-3=47, Resulting Numbers: [88, 47]
Generated Node #0,2,0: 44:[88, 47] Operation: 50-3=47
Exploring Operation: 88-3=85, Resulting Numbers: [50, 85]
Generated Node #0,2,1: 44:[50, 85] Operation: 88-3=85
Exploring Operation: 88-50=38, Resulting Numbers: [3, 38]
Generated Node #0,2,2: 44:[3, 38] Operation: 88-50=38
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 44:[3, 38], Operations: ['97-47=50', '88-50=38']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,44 unequal: No Solution
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,44 unequal: No Solution
No 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: 44:[88, 47], Operations: ['97-47=50', '50-3=47']
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,44 unequal: No Solution
Exploring Operation: 88*47=4136, Resulting Numbers: [4136]
4136,44 unequal: No Solution
Exploring Operation: 88+47=135, Resulting Numbers: [135]
135,44 unequal: No Solution
No 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: 44:[50, 85], Operations: ['97-47=50', '88-3=85']
Exploring Operation: 85-50=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 50*85=4250, Resulting Numbers: [4250]
4250,44 unequal: No Solution
Exploring Operation: 50+85=135, Resulting Numbers: [135]
135,44 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: 44:[97, 3, 41], Operations: ['88-47=41']
Exploring Operation: 97-41=56, Resulting Numbers: [3, 56]
Generated Node #0,0,0: 44:[3, 56] Operation: 97-41=56
Exploring Operation: 97-3=94, Resulting Numbers: [41, 94]
Generated Node #0,0,1: 44:[41, 94] Operation: 97-3=94
Exploring Operation: 3+41=44, Resulting Numbers: [97, 44]
Generated Node #0,0,2: 44:[97, 44] Operation: 3+41=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[3, 56], Operations: ['88-47=41', '97-41=56']
Exploring Operation: 3+56=59, Resulting Numbers: [59]
59,44 unequal: No Solution
Exploring Operation: 3*56=168, Resulting Numbers: [168]
168,44 unequal: No Solution
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,44 unequal: No Solution
No 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: 44:[41, 94], Operations: ['88-47=41', '97-3=94']
Exploring Operation: 41+94=135, Resulting Numbers: [135]
135,44 unequal: No Solution
Exploring Operation: 94-41=53, Resulting Numbers: [53]
53,44 unequal: No Solution
Exploring Operation: 41*94=3854, Resulting Numbers: [3854]
3854,44 unequal: No Solution
No 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: 44:[97, 44], Operations: ['88-47=41', '3+41=44']
Exploring Operation: 97-44=53, Resulting Numbers: [53]
53,44 unequal: No Solution
Exploring Operation: 97*44=4268, Resulting Numbers: [4268]
4268,44 unequal: No Solution
Exploring Operation: 97+44=141, Resulting Numbers: [141]
141,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 44:[9, 44], Operations: ['97-88=9', '47-3=44']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,44 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[47, 3], Operations: ['97-88=9', '9/3=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[97, 88, 47, 3], Operations: []
Exploring Operation: 97-88=9, Resulting Numbers: [47, 3, 9]
Generated Node #0,1: 44:[47, 3, 9] Operation: 97-88=9
Moving to Node #0,1
Current State: 44:[47, 3, 9], Operations: ['97-88=9']
Exploring Operation: 9/3=3, Resulting Numbers: [47, 3]
Generated Node #0,1,0: 44:[47, 3] Operation: 9/3=3
Moving to Node #0,1,0
Current State: 44:[47, 3], Operations: ['97-88=9', '9/3=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.967014 | hs_3 | mult_heuristic |
[
92,
28,
98,
47
] | 69 | [
"92+28=120",
"98-47=51",
"120-51=69"
] | Current State: 69:[92, 28, 98, 47], Operations: []
Exploring Operation: 92+28=120, Resulting Numbers: [98, 47, 120]
Generated Node #2: [98, 47, 120] from Operation: 92+28=120
Current State: 69:[98, 47, 120], Operations: ['92+28=120']
Exploring Operation: 98-47=51, Resulting Numbers: [120, 51]
Generated Node #3: [120, 51] from Operation: 98-47=51
Current State: 69:[120, 51], Operations: ['92+28=120', '98-47=51']
Exploring Operation: 120-51=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[92, 28, 98, 47], Operations: []
Exploring Operation: 92-28=64, Resulting Numbers: [98, 47, 64]
Generated Node #0,0: 69:[98, 47, 64] Operation: 92-28=64
Exploring Operation: 98-28=70, Resulting Numbers: [92, 47, 70]
Generated Node #0,1: 69:[92, 47, 70] Operation: 98-28=70
Exploring Operation: 92-47=45, Resulting Numbers: [28, 98, 45]
Generated Node #0,2: 69:[28, 98, 45] Operation: 92-47=45
Exploring Operation: 98-47=51, Resulting Numbers: [92, 28, 51]
Generated Node #0,3: 69:[92, 28, 51] Operation: 98-47=51
Exploring Operation: 98-92=6, Resulting Numbers: [28, 47, 6]
Generated Node #0,4: 69:[28, 47, 6] Operation: 98-92=6
Moving to Node #0,4
Current State: 69:[28, 47, 6], Operations: ['98-92=6']
Exploring Operation: 28-6=22, Resulting Numbers: [47, 22]
Generated Node #0,4,0: 69:[47, 22] Operation: 28-6=22
Exploring Operation: 47-28=19, Resulting Numbers: [6, 19]
Generated Node #0,4,1: 69:[6, 19] Operation: 47-28=19
Exploring Operation: 47-6=41, Resulting Numbers: [28, 41]
Generated Node #0,4,2: 69:[28, 41] Operation: 47-6=41
Exploring Operation: 28+47=75, Resulting Numbers: [6, 75]
Generated Node #0,4,3: 69:[6, 75] Operation: 28+47=75
Exploring Operation: 47+6=53, Resulting Numbers: [28, 53]
Generated Node #0,4,4: 69:[28, 53] Operation: 47+6=53
Moving to Node #0,3
Current State: 69:[92, 28, 51], Operations: ['98-47=51']
Exploring Operation: 92+28=120, Resulting Numbers: [51, 120]
Generated Node #0,3,0: 69:[51, 120] Operation: 92+28=120
Exploring Operation: 92-28=64, Resulting Numbers: [51, 64]
Generated Node #0,3,1: 69:[51, 64] Operation: 92-28=64
Exploring Operation: 92-51=41, Resulting Numbers: [28, 41]
Generated Node #0,3,2: 69:[28, 41] Operation: 92-51=41
Exploring Operation: 28+51=79, Resulting Numbers: [92, 79]
Generated Node #0,3,3: 69:[92, 79] Operation: 28+51=79
Exploring Operation: 51-28=23, Resulting Numbers: [92, 23]
Generated Node #0,3,4: 69:[92, 23] Operation: 51-28=23
Moving to Node #0,1
Current State: 69:[92, 47, 70], Operations: ['98-28=70']
Exploring Operation: 92-47=45, Resulting Numbers: [70, 45]
Generated Node #0,1,0: 69:[70, 45] Operation: 92-47=45
Exploring Operation: 70-47=23, Resulting Numbers: [92, 23]
Generated Node #0,1,1: 69:[92, 23] Operation: 70-47=23
Exploring Operation: 92-70=22, Resulting Numbers: [47, 22]
Generated Node #0,1,2: 69:[47, 22] Operation: 92-70=22
Exploring Operation: 92+47=139, Resulting Numbers: [70, 139]
Generated Node #0,1,3: 69:[70, 139] Operation: 92+47=139
Exploring Operation: 47+70=117, Resulting Numbers: [92, 117]
Generated Node #0,1,4: 69:[92, 117] Operation: 47+70=117
Moving to Node #0,0
Current State: 69:[98, 47, 64], Operations: ['92-28=64']
Exploring Operation: 98-47=51, Resulting Numbers: [64, 51]
Generated Node #0,0,0: 69:[64, 51] Operation: 98-47=51
Exploring Operation: 98-64=34, Resulting Numbers: [47, 34]
Generated Node #0,0,1: 69:[47, 34] Operation: 98-64=34
Exploring Operation: 64-47=17, Resulting Numbers: [98, 17]
Generated Node #0,0,2: 69:[98, 17] Operation: 64-47=17
Exploring Operation: 47+64=111, Resulting Numbers: [98, 111]
Generated Node #0,0,3: 69:[98, 111] Operation: 47+64=111
Exploring Operation: 98+47=145, Resulting Numbers: [64, 145]
Generated Node #0,0,4: 69:[64, 145] Operation: 98+47=145
Moving to Node #0,2
Current State: 69:[28, 98, 45], Operations: ['92-47=45']
Exploring Operation: 45-28=17, Resulting Numbers: [98, 17]
Generated Node #0,2,0: 69:[98, 17] Operation: 45-28=17
Exploring Operation: 28+98=126, Resulting Numbers: [45, 126]
Generated Node #0,2,1: 69:[45, 126] Operation: 28+98=126
Exploring Operation: 98-28=70, Resulting Numbers: [45, 70]
Generated Node #0,2,2: 69:[45, 70] Operation: 98-28=70
Exploring Operation: 98-45=53, Resulting Numbers: [28, 53]
Generated Node #0,2,3: 69:[28, 53] Operation: 98-45=53
Exploring Operation: 28+45=73, Resulting Numbers: [98, 73]
Generated Node #0,2,4: 69:[98, 73] Operation: 28+45=73
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 69:[28, 53], Operations: ['92-47=45', '98-45=53']
Exploring Operation: 28+53=81, Resulting Numbers: [81]
81,69 unequal: No Solution
Exploring Operation: 28*53=1484, Resulting Numbers: [1484]
1484,69 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 69:[45, 70], Operations: ['92-47=45', '98-28=70']
Exploring Operation: 45+70=115, Resulting Numbers: [115]
115,69 unequal: No Solution
Exploring Operation: 45*70=3150, Resulting Numbers: [3150]
3150,69 unequal: No Solution
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 69:[98, 73], Operations: ['92-47=45', '28+45=73']
Exploring Operation: 98*73=7154, Resulting Numbers: [7154]
7154,69 unequal: No Solution
Exploring Operation: 98+73=171, Resulting Numbers: [171]
171,69 unequal: No Solution
Exploring Operation: 98-73=25, Resulting Numbers: [25]
25,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 69:[98, 17], Operations: ['92-47=45', '45-28=17']
Exploring Operation: 98*17=1666, Resulting Numbers: [1666]
1666,69 unequal: No Solution
Exploring Operation: 98-17=81, Resulting Numbers: [81]
81,69 unequal: No Solution
Exploring Operation: 98+17=115, Resulting Numbers: [115]
115,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 69:[45, 126], Operations: ['92-47=45', '28+98=126']
Exploring Operation: 45*126=5670, Resulting Numbers: [5670]
5670,69 unequal: No Solution
Exploring Operation: 126-45=81, Resulting Numbers: [81]
81,69 unequal: No Solution
Exploring Operation: 45+126=171, Resulting Numbers: [171]
171,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,1
Current State: 69:[6, 19], Operations: ['98-92=6', '47-28=19']
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,69 unequal: No Solution
Moving to Node #0,4,3
Current State: 69:[6, 75], Operations: ['98-92=6', '28+47=75']
Exploring Operation: 6+75=81, Resulting Numbers: [81]
81,69 unequal: No Solution
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[92, 28, 98, 47], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [28, 47, 6]
Generated Node #0,4: 69:[28, 47, 6] Operation: 98-92=6
Moving to Node #0,4
Current State: 69:[28, 47, 6], Operations: ['98-92=6']
Exploring Operation: 28+47=75, Resulting Numbers: [6, 75]
Generated Node #0,4,3: 69:[6, 75] Operation: 28+47=75
Moving to Node #0,4,3
Current State: 69:[6, 75], Operations: ['98-92=6', '28+47=75']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 0.953125 | hs_5 | mult_heuristic |
[
68,
7,
26,
76
] | 26 | [
"68+7=75",
"76-75=1",
"26*1=26"
] | Current State: 26:[68, 7, 26, 76], Operations: []
Exploring Operation: 68+7=75, Resulting Numbers: [26, 76, 75]
Generated Node #2: [26, 76, 75] from Operation: 68+7=75
Current State: 26:[26, 76, 75], Operations: ['68+7=75']
Exploring Operation: 76-75=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 76-75=1
Current State: 26:[26, 1], Operations: ['68+7=75', '76-75=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[68, 7, 26, 76], Operations: []
Exploring Operation: 68-26=42, Resulting Numbers: [7, 76, 42]
Generated Node #0,0: 26:[7, 76, 42] Operation: 68-26=42
Exploring Operation: 76-68=8, Resulting Numbers: [7, 26, 8]
Generated Node #0,1: 26:[7, 26, 8] Operation: 76-68=8
Moving to Node #0,1
Current State: 26:[7, 26, 8], Operations: ['76-68=8']
Exploring Operation: 8-7=1, Resulting Numbers: [26, 1]
Generated Node #0,1,0: 26:[26, 1] Operation: 8-7=1
Exploring Operation: 7+8=15, Resulting Numbers: [26, 15]
Generated Node #0,1,1: 26:[26, 15] Operation: 7+8=15
Moving to Node #0,0
Current State: 26:[7, 76, 42], Operations: ['68-26=42']
Exploring Operation: 42/7=6, Resulting Numbers: [76, 6]
Generated Node #0,0,0: 26:[76, 6] Operation: 42/7=6
Exploring Operation: 76-42=34, Resulting Numbers: [7, 34]
Generated Node #0,0,1: 26:[7, 34] Operation: 76-42=34
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 26:[7, 34], Operations: ['68-26=42', '76-42=34']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Exploring Operation: 7+34=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 #0,0,0
Current State: 26:[76, 6], Operations: ['68-26=42', '42/7=6']
Exploring Operation: 76+6=82, Resulting Numbers: [82]
82,26 unequal: No Solution
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,26 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: 26:[26, 1], Operations: ['76-68=8', '8-7=1']
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[68, 7, 26, 76], Operations: []
Exploring Operation: 76-68=8, Resulting Numbers: [7, 26, 8]
Generated Node #0,1: 26:[7, 26, 8] Operation: 76-68=8
Moving to Node #0,1
Current State: 26:[7, 26, 8], Operations: ['76-68=8']
Exploring Operation: 8-7=1, Resulting Numbers: [26, 1]
Generated Node #0,1,0: 26:[26, 1] Operation: 8-7=1
Moving to Node #0,1,0
Current State: 26:[26, 1], Operations: ['76-68=8', '8-7=1']
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
92,
85,
88,
70
] | 11 | [
"92-85=7",
"88-70=18",
"18-7=11"
] | Current State: 11:[92, 85, 88, 70], Operations: []
Exploring Operation: 92-85=7, Resulting Numbers: [88, 70, 7]
Generated Node #2: [88, 70, 7] from Operation: 92-85=7
Current State: 11:[88, 70, 7], Operations: ['92-85=7']
Exploring Operation: 88-70=18, Resulting Numbers: [7, 18]
Generated Node #3: [7, 18] from Operation: 88-70=18
Current State: 11:[7, 18], Operations: ['92-85=7', '88-70=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[92, 85, 88, 70], Operations: []
Exploring Operation: 92-70=22, Resulting Numbers: [85, 88, 22]
Generated Node #0,0: 11:[85, 88, 22] Operation: 92-70=22
Exploring Operation: 88-85=3, Resulting Numbers: [92, 70, 3]
Generated Node #0,1: 11:[92, 70, 3] Operation: 88-85=3
Exploring Operation: 92-88=4, Resulting Numbers: [85, 70, 4]
Generated Node #0,2: 11:[85, 70, 4] Operation: 92-88=4
Exploring Operation: 85-70=15, Resulting Numbers: [92, 88, 15]
Generated Node #0,3: 11:[92, 88, 15] Operation: 85-70=15
Exploring Operation: 92-85=7, Resulting Numbers: [88, 70, 7]
Generated Node #0,4: 11:[88, 70, 7] Operation: 92-85=7
Moving to Node #0,2
Current State: 11:[85, 70, 4], Operations: ['92-88=4']
Exploring Operation: 85-70=15, Resulting Numbers: [4, 15]
Generated Node #0,2,0: 11:[4, 15] Operation: 85-70=15
Exploring Operation: 70+4=74, Resulting Numbers: [85, 74]
Generated Node #0,2,1: 11:[85, 74] Operation: 70+4=74
Exploring Operation: 85+4=89, Resulting Numbers: [70, 89]
Generated Node #0,2,2: 11:[70, 89] Operation: 85+4=89
Exploring Operation: 70-4=66, Resulting Numbers: [85, 66]
Generated Node #0,2,3: 11:[85, 66] Operation: 70-4=66
Exploring Operation: 85-4=81, Resulting Numbers: [70, 81]
Generated Node #0,2,4: 11:[70, 81] Operation: 85-4=81
Moving to Node #0,4
Current State: 11:[88, 70, 7], Operations: ['92-85=7']
Exploring Operation: 70-7=63, Resulting Numbers: [88, 63]
Generated Node #0,4,0: 11:[88, 63] Operation: 70-7=63
Exploring Operation: 88+7=95, Resulting Numbers: [70, 95]
Generated Node #0,4,1: 11:[70, 95] Operation: 88+7=95
Exploring Operation: 70/7=10, Resulting Numbers: [88, 10]
Generated Node #0,4,2: 11:[88, 10] Operation: 70/7=10
Exploring Operation: 88-70=18, Resulting Numbers: [7, 18]
Generated Node #0,4,3: 11:[7, 18] Operation: 88-70=18
Exploring Operation: 88-7=81, Resulting Numbers: [70, 81]
Generated Node #0,4,4: 11:[70, 81] Operation: 88-7=81
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 11:[7, 18], Operations: ['92-85=7', '88-70=18']
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[92, 85, 88, 70], Operations: []
Exploring Operation: 92-85=7, Resulting Numbers: [88, 70, 7]
Generated Node #0,4: 11:[88, 70, 7] Operation: 92-85=7
Moving to Node #0,4
Current State: 11:[88, 70, 7], Operations: ['92-85=7']
Exploring Operation: 88-70=18, Resulting Numbers: [7, 18]
Generated Node #0,4,3: 11:[7, 18] Operation: 88-70=18
Moving to Node #0,4,3
Current State: 11:[7, 18], Operations: ['92-85=7', '88-70=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
25,
86,
43,
74
] | 47 | [
"74-25=49",
"86/43=2",
"49-2=47"
] | Current State: 47:[25, 86, 43, 74], Operations: []
Exploring Operation: 74-25=49, Resulting Numbers: [86, 43, 49]
Generated Node #2: [86, 43, 49] from Operation: 74-25=49
Current State: 47:[86, 43, 49], Operations: ['74-25=49']
Exploring Operation: 86/43=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 86/43=2
Current State: 47:[49, 2], Operations: ['74-25=49', '86/43=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[25, 86, 43, 74], Operations: []
Exploring Operation: 86-25=61, Resulting Numbers: [43, 74, 61]
Generated Node #0,0: 47:[43, 74, 61] Operation: 86-25=61
Exploring Operation: 86-74=12, Resulting Numbers: [25, 43, 12]
Generated Node #0,1: 47:[25, 43, 12] Operation: 86-74=12
Exploring Operation: 74-25=49, Resulting Numbers: [86, 43, 49]
Generated Node #0,2: 47:[86, 43, 49] Operation: 74-25=49
Exploring Operation: 86-43=43, Resulting Numbers: [25, 74, 43]
Generated Node #0,3: 47:[25, 74, 43] Operation: 86-43=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[43, 74, 61], Operations: ['86-25=61']
Exploring Operation: 61-43=18, Resulting Numbers: [74, 18]
Generated Node #0,0,0: 47:[74, 18] Operation: 61-43=18
Exploring Operation: 74-43=31, Resulting Numbers: [61, 31]
Generated Node #0,0,1: 47:[61, 31] Operation: 74-43=31
Exploring Operation: 74-61=13, Resulting Numbers: [43, 13]
Generated Node #0,0,2: 47:[43, 13] Operation: 74-61=13
Exploring Operation: 43+74=117, Resulting Numbers: [61, 117]
Generated Node #0,0,3: 47:[61, 117] Operation: 43+74=117
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[61, 31], Operations: ['86-25=61', '74-43=31']
Exploring Operation: 61+31=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,47 unequal: No Solution
Exploring Operation: 61*31=1891, Resulting Numbers: [1891]
1891,47 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 #0,0,2
Current State: 47:[43, 13], Operations: ['86-25=61', '74-61=13']
Exploring Operation: 43*13=559, Resulting Numbers: [559]
559,47 unequal: No Solution
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,47 unequal: No Solution
Exploring Operation: 43+13=56, Resulting Numbers: [56]
56,47 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 #0,0,0
Current State: 47:[74, 18], Operations: ['86-25=61', '61-43=18']
Exploring Operation: 74*18=1332, Resulting Numbers: [1332]
1332,47 unequal: No Solution
Exploring Operation: 74-18=56, Resulting Numbers: [56]
56,47 unequal: No Solution
Exploring Operation: 74+18=92, Resulting Numbers: [92]
92,47 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 #0,0,3
Current State: 47:[61, 117], Operations: ['86-25=61', '43+74=117']
Exploring Operation: 61+117=178, Resulting Numbers: [178]
178,47 unequal: No Solution
Exploring Operation: 117-61=56, Resulting Numbers: [56]
56,47 unequal: No Solution
Exploring Operation: 61*117=7137, Resulting Numbers: [7137]
7137,47 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 #0,2
Current State: 47:[86, 43, 49], Operations: ['74-25=49']
Exploring Operation: 86-49=37, Resulting Numbers: [43, 37]
Generated Node #0,2,0: 47:[43, 37] Operation: 86-49=37
Exploring Operation: 86-43=43, Resulting Numbers: [49, 43]
Generated Node #0,2,1: 47:[49, 43] Operation: 86-43=43
Exploring Operation: 49-43=6, Resulting Numbers: [86, 6]
Generated Node #0,2,2: 47:[86, 6] Operation: 49-43=6
Exploring Operation: 86/43=2, Resulting Numbers: [49, 2]
Generated Node #0,2,3: 47:[49, 2] Operation: 86/43=2
Moving to Node #0,2,1
Current State: 47:[49, 43], Operations: ['74-25=49', '86-43=43']
Exploring Operation: 49-43=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Exploring Operation: 49+43=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 49*43=2107, Resulting Numbers: [2107]
2107,47 unequal: No Solution
Moving to Node #0,2,0
Current State: 47:[43, 37], Operations: ['74-25=49', '86-49=37']
Exploring Operation: 43+37=80, Resulting Numbers: [80]
80,47 unequal: No Solution
Exploring Operation: 43*37=1591, Resulting Numbers: [1591]
1591,47 unequal: No Solution
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Moving to Node #0,2,3
Current State: 47:[49, 2], Operations: ['74-25=49', '86/43=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,47 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[25, 86, 43, 74], Operations: []
Exploring Operation: 74-25=49, Resulting Numbers: [86, 43, 49]
Generated Node #0,2: 47:[86, 43, 49] Operation: 74-25=49
Moving to Node #0,2
Current State: 47:[86, 43, 49], Operations: ['74-25=49']
Exploring Operation: 86/43=2, Resulting Numbers: [49, 2]
Generated Node #0,2,3: 47:[49, 2] Operation: 86/43=2
Moving to Node #0,2,3
Current State: 47:[49, 2], Operations: ['74-25=49', '86/43=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_4 | sum_heuristic |
[
4,
5,
68,
21
] | 89 | [
"5-4=1",
"68+21=89",
"1*89=89"
] | Current State: 89:[4, 5, 68, 21], Operations: []
Exploring Operation: 5-4=1, Resulting Numbers: [68, 21, 1]
Generated Node #2: [68, 21, 1] from Operation: 5-4=1
Current State: 89:[68, 21, 1], Operations: ['5-4=1']
Exploring Operation: 68+21=89, Resulting Numbers: [1, 89]
Generated Node #3: [1, 89] from Operation: 68+21=89
Current State: 89:[1, 89], Operations: ['5-4=1', '68+21=89']
Exploring Operation: 1*89=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[4, 5, 68, 21], Operations: []
Exploring Operation: 5*21=105, Resulting Numbers: [4, 68, 105]
Generated Node #0,0: 89:[4, 68, 105] Operation: 5*21=105
Exploring Operation: 4*21=84, Resulting Numbers: [5, 68, 84]
Generated Node #0,1: 89:[5, 68, 84] Operation: 4*21=84
Moving to Node #0,1
Current State: 89:[5, 68, 84], Operations: ['4*21=84']
Exploring Operation: 5+84=89, Resulting Numbers: [68, 89]
Generated Node #0,1,0: 89:[68, 89] Operation: 5+84=89
Exploring Operation: 5+68=73, Resulting Numbers: [84, 73]
Generated Node #0,1,1: 89:[84, 73] Operation: 5+68=73
Moving to Node #0,0
Current State: 89:[4, 68, 105], Operations: ['5*21=105']
Exploring Operation: 105-4=101, Resulting Numbers: [68, 101]
Generated Node #0,0,0: 89:[68, 101] Operation: 105-4=101
Exploring Operation: 4+68=72, Resulting Numbers: [105, 72]
Generated Node #0,0,1: 89:[105, 72] Operation: 4+68=72
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[68, 101], Operations: ['5*21=105', '105-4=101']
Exploring Operation: 101-68=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 68+101=169, Resulting Numbers: [169]
169,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[105, 72], Operations: ['5*21=105', '4+68=72']
Exploring Operation: 105+72=177, Resulting Numbers: [177]
177,89 unequal: No Solution
Exploring Operation: 105-72=33, Resulting Numbers: [33]
33,89 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: 89:[68, 89], Operations: ['4*21=84', '5+84=89']
Exploring Operation: 68+89=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 89-68=21, Resulting Numbers: [21]
21,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[84, 73], Operations: ['4*21=84', '5+68=73']
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Exploring Operation: 84+73=157, Resulting Numbers: [157]
157,89 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
48,
37,
66,
48
] | 54 | [
"48-37=11",
"66/11=6",
"48+6=54"
] | Current State: 54:[48, 37, 66, 48], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [66, 11]
Generated Node #2: [66, 11] from Operation: 48-37=11
Current State: 54:[66, 11], Operations: ['48-37=11']
Exploring Operation: 66/11=6, Resulting Numbers: [6]
6,54 equal: Goal Reached
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[48, 37, 66, 48], Operations: []
Exploring Operation: 66-48=18, Resulting Numbers: [37, 48, 18]
Generated Node #0,0: 54:[37, 48, 18] Operation: 66-48=18
Exploring Operation: 66-37=29, Resulting Numbers: [48, 48, 29]
Generated Node #0,1: 54:[48, 48, 29] Operation: 66-37=29
Moving to Node #0,1
Current State: 54:[48, 48, 29], Operations: ['66-37=29']
Exploring Operation: 48-48=0, Resulting Numbers: [29, 0]
Generated Node #0,1,0: 54:[29, 0] Operation: 48-48=0
Exploring Operation: 48/48=1, Resulting Numbers: [29, 1]
Generated Node #0,1,1: 54:[29, 1] Operation: 48/48=1
Moving to Node #0,0
Current State: 54:[37, 48, 18], Operations: ['66-48=18']
Exploring Operation: 37+18=55, Resulting Numbers: [48, 55]
Generated Node #0,0,0: 54:[48, 55] Operation: 37+18=55
Exploring Operation: 48-37=11, Resulting Numbers: [18, 11]
Generated Node #0,0,1: 54:[18, 11] Operation: 48-37=11
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[18, 11], Operations: ['66-48=18', '48-37=11']
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,54 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[48, 55], Operations: ['66-48=18', '37+18=55']
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 48+55=103, Resulting Numbers: [103]
103,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 54:[29, 1], Operations: ['66-37=29', '48/48=1']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,54 unequal: No Solution
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[29, 0], Operations: ['66-37=29', '48-48=0']
Exploring Operation: 29*0=0, Resulting Numbers: [0]
0,54 unequal: No Solution
Exploring Operation: 29+0=29, Resulting Numbers: [29]
29,54 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
43,
95,
38,
32
] | 23 | [
"43+95=138",
"38-32=6",
"138/6=23"
] | Current State: 23:[43, 95, 38, 32], Operations: []
Exploring Operation: 43+95=138, Resulting Numbers: [38, 32, 138]
Generated Node #2: [38, 32, 138] from Operation: 43+95=138
Current State: 23:[38, 32, 138], Operations: ['43+95=138']
Exploring Operation: 38-32=6, Resulting Numbers: [138, 6]
Generated Node #3: [138, 6] from Operation: 38-32=6
Current State: 23:[138, 6], Operations: ['43+95=138', '38-32=6']
Exploring Operation: 138/6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[43, 95, 38, 32], Operations: []
Exploring Operation: 95-43=52, Resulting Numbers: [38, 32, 52]
Generated Node #0,0: 23:[38, 32, 52] Operation: 95-43=52
Moving to Node #0,0
Current State: 23:[38, 32, 52], Operations: ['95-43=52']
Exploring Operation: 52-38=14, Resulting Numbers: [32, 14]
Generated Node #0,0,0: 23:[32, 14] Operation: 52-38=14
Moving to Node #0,0,0
Current State: 23:[32, 14], Operations: ['95-43=52', '52-38=14']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,23 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
44,
37,
61,
5
] | 59 | [
"44-37=7",
"61+5=66",
"66-7=59"
] | Current State: 59:[44, 37, 61, 5], Operations: []
Exploring Operation: 44-37=7, Resulting Numbers: [61, 5, 7]
Generated Node #2: [61, 5, 7] from Operation: 44-37=7
Current State: 59:[61, 5, 7], Operations: ['44-37=7']
Exploring Operation: 61+5=66, Resulting Numbers: [7, 66]
Generated Node #3: [7, 66] from Operation: 61+5=66
Current State: 59:[7, 66], Operations: ['44-37=7', '61+5=66']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[44, 37, 61, 5], Operations: []
Exploring Operation: 44+5=49, Resulting Numbers: [37, 61, 49]
Generated Node #0,0: 59:[37, 61, 49] Operation: 44+5=49
Exploring Operation: 44-5=39, Resulting Numbers: [37, 61, 39]
Generated Node #0,1: 59:[37, 61, 39] Operation: 44-5=39
Exploring Operation: 37-5=32, Resulting Numbers: [44, 61, 32]
Generated Node #0,2: 59:[44, 61, 32] Operation: 37-5=32
Exploring Operation: 37+5=42, Resulting Numbers: [44, 61, 42]
Generated Node #0,3: 59:[44, 61, 42] Operation: 37+5=42
Exploring Operation: 61-5=56, Resulting Numbers: [44, 37, 56]
Generated Node #0,4: 59:[44, 37, 56] Operation: 61-5=56
Moving to Node #0,0
Current State: 59:[37, 61, 49], Operations: ['44+5=49']
Exploring Operation: 61-37=24, Resulting Numbers: [49, 24]
Generated Node #0,0,0: 59:[49, 24] Operation: 61-37=24
Exploring Operation: 49-37=12, Resulting Numbers: [61, 12]
Generated Node #0,0,1: 59:[61, 12] Operation: 49-37=12
Exploring Operation: 37+61=98, Resulting Numbers: [49, 98]
Generated Node #0,0,2: 59:[49, 98] Operation: 37+61=98
Exploring Operation: 61-49=12, Resulting Numbers: [37, 12]
Generated Node #0,0,3: 59:[37, 12] Operation: 61-49=12
Exploring Operation: 37+49=86, Resulting Numbers: [61, 86]
Generated Node #0,0,4: 59:[61, 86] Operation: 37+49=86
Moving to Node #0,3
Current State: 59:[44, 61, 42], Operations: ['37+5=42']
Exploring Operation: 61-42=19, Resulting Numbers: [44, 19]
Generated Node #0,3,0: 59:[44, 19] Operation: 61-42=19
Exploring Operation: 61-44=17, Resulting Numbers: [42, 17]
Generated Node #0,3,1: 59:[42, 17] Operation: 61-44=17
Exploring Operation: 44+42=86, Resulting Numbers: [61, 86]
Generated Node #0,3,2: 59:[61, 86] Operation: 44+42=86
Exploring Operation: 44-42=2, Resulting Numbers: [61, 2]
Generated Node #0,3,3: 59:[61, 2] Operation: 44-42=2
Exploring Operation: 61+42=103, Resulting Numbers: [44, 103]
Generated Node #0,3,4: 59:[44, 103] Operation: 61+42=103
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 59:[61, 86], Operations: ['37+5=42', '44+42=86']
Exploring Operation: 86-61=25, Resulting Numbers: [25]
25,59 unequal: No Solution
Exploring Operation: 61*86=5246, Resulting Numbers: [5246]
5246,59 unequal: No Solution
Exploring Operation: 61+86=147, Resulting Numbers: [147]
147,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 59:[44, 19], Operations: ['37+5=42', '61-42=19']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,59 unequal: No Solution
Exploring Operation: 44+19=63, Resulting Numbers: [63]
63,59 unequal: No Solution
Exploring Operation: 44*19=836, Resulting Numbers: [836]
836,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 59:[42, 17], Operations: ['37+5=42', '61-44=17']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,59 unequal: No Solution
Exploring Operation: 42*17=714, Resulting Numbers: [714]
714,59 unequal: No Solution
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[44, 37, 61, 5], Operations: []
Exploring Operation: 37+5=42, Resulting Numbers: [44, 61, 42]
Generated Node #0,3: 59:[44, 61, 42] Operation: 37+5=42
Moving to Node #0,3
Current State: 59:[44, 61, 42], Operations: ['37+5=42']
Exploring Operation: 61-44=17, Resulting Numbers: [42, 17]
Generated Node #0,3,1: 59:[42, 17] Operation: 61-44=17
Moving to Node #0,3,1
Current State: 59:[42, 17], Operations: ['37+5=42', '61-44=17']
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_5 | mult_heuristic |
[
2,
7,
77,
67
] | 54 | [
"67-2=65",
"77/7=11",
"65-11=54"
] | Current State: 54:[2, 7, 77, 67], Operations: []
Exploring Operation: 67-2=65, Resulting Numbers: [7, 77, 65]
Generated Node #2: [7, 77, 65] from Operation: 67-2=65
Current State: 54:[7, 77, 65], Operations: ['67-2=65']
Exploring Operation: 77/7=11, Resulting Numbers: [65, 11]
Generated Node #3: [65, 11] from Operation: 77/7=11
Current State: 54:[65, 11], Operations: ['67-2=65', '77/7=11']
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[2, 7, 77, 67], Operations: []
Exploring Operation: 77-67=10, Resulting Numbers: [2, 7, 10]
Generated Node #0,0: 54:[2, 7, 10] Operation: 77-67=10
Exploring Operation: 77/7=11, Resulting Numbers: [2, 67, 11]
Generated Node #0,1: 54:[2, 67, 11] Operation: 77/7=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[2, 7, 10], Operations: ['77-67=10']
Exploring Operation: 2+7=9, Resulting Numbers: [10, 9]
Generated Node #0,0,0: 54:[10, 9] Operation: 2+7=9
Exploring Operation: 10-7=3, Resulting Numbers: [2, 3]
Generated Node #0,0,1: 54:[2, 3] Operation: 10-7=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 54:[2, 3], Operations: ['77-67=10', '10-7=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,54 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,54 unequal: No Solution
No 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: 54:[10, 9], Operations: ['77-67=10', '2+7=9']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,54 unequal: No Solution
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,54 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: 54:[2, 67, 11], Operations: ['77/7=11']
Exploring Operation: 67-2=65, Resulting Numbers: [11, 65]
Generated Node #0,1,0: 54:[11, 65] Operation: 67-2=65
Exploring Operation: 67-11=56, Resulting Numbers: [2, 56]
Generated Node #0,1,1: 54:[2, 56] Operation: 67-11=56
Moving to Node #0,1,1
Current State: 54:[2, 56], Operations: ['77/7=11', '67-11=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,54 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[2, 7, 77, 67], Operations: []
Exploring Operation: 77/7=11, Resulting Numbers: [2, 67, 11]
Generated Node #0,1: 54:[2, 67, 11] Operation: 77/7=11
Moving to Node #0,1
Current State: 54:[2, 67, 11], Operations: ['77/7=11']
Exploring Operation: 67-11=56, Resulting Numbers: [2, 56]
Generated Node #0,1,1: 54:[2, 56] Operation: 67-11=56
Moving to Node #0,1,1
Current State: 54:[2, 56], Operations: ['77/7=11', '67-11=56']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
69,
2,
60,
41
] | 30 | [
"69+2=71",
"60+41=101",
"101-71=30"
] | Current State: 30:[69, 2, 60, 41], Operations: []
Exploring Operation: 69+2=71, Resulting Numbers: [60, 41, 71]
Generated Node #2: [60, 41, 71] from Operation: 69+2=71
Current State: 30:[60, 41, 71], Operations: ['69+2=71']
Exploring Operation: 60+41=101, Resulting Numbers: [71, 101]
Generated Node #3: [71, 101] from Operation: 60+41=101
Current State: 30:[71, 101], Operations: ['69+2=71', '60+41=101']
Exploring Operation: 101-71=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[69, 2, 60, 41], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [2, 41, 9]
Generated Node #0,0: 30:[2, 41, 9] Operation: 69-60=9
Moving to Node #0,0
Current State: 30:[2, 41, 9], Operations: ['69-60=9']
Exploring Operation: 41-9=32, Resulting Numbers: [2, 32]
Generated Node #0,0,0: 30:[2, 32] Operation: 41-9=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[2, 32], Operations: ['69-60=9', '41-9=32']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[69, 2, 60, 41], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [2, 41, 9]
Generated Node #0,0: 30:[2, 41, 9] Operation: 69-60=9
Moving to Node #0,0
Current State: 30:[2, 41, 9], Operations: ['69-60=9']
Exploring Operation: 41-9=32, Resulting Numbers: [2, 32]
Generated Node #0,0,0: 30:[2, 32] Operation: 41-9=32
Moving to Node #0,0,0
Current State: 30:[2, 32], Operations: ['69-60=9', '41-9=32']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
29,
31,
71,
23
] | 25 | [
"31-29=2",
"23*2=46",
"71-46=25"
] | Current State: 25:[29, 31, 71, 23], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [71, 23, 2]
Generated Node #2: [71, 23, 2] from Operation: 31-29=2
Current State: 25:[71, 23, 2], Operations: ['31-29=2']
Exploring Operation: 23*2=46, Resulting Numbers: [71, 46]
Generated Node #3: [71, 46] from Operation: 23*2=46
Current State: 25:[71, 46], Operations: ['31-29=2', '23*2=46']
Exploring Operation: 71-46=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[29, 31, 71, 23], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [71, 23, 2]
Generated Node #0,0: 25:[71, 23, 2] Operation: 31-29=2
Exploring Operation: 71-23=48, Resulting Numbers: [29, 31, 48]
Generated Node #0,1: 25:[29, 31, 48] Operation: 71-23=48
Exploring Operation: 29-23=6, Resulting Numbers: [31, 71, 6]
Generated Node #0,2: 25:[31, 71, 6] Operation: 29-23=6
Exploring Operation: 71-31=40, Resulting Numbers: [29, 23, 40]
Generated Node #0,3: 25:[29, 23, 40] Operation: 71-31=40
Exploring Operation: 71-29=42, Resulting Numbers: [31, 23, 42]
Generated Node #0,4: 25:[31, 23, 42] Operation: 71-29=42
Start Sub Search at level 1: Moving to Node #0,3
Current State: 25:[29, 23, 40], Operations: ['71-31=40']
Exploring Operation: 23+40=63, Resulting Numbers: [29, 63]
Generated Node #0,3,0: 25:[29, 63] Operation: 23+40=63
Exploring Operation: 40-29=11, Resulting Numbers: [23, 11]
Generated Node #0,3,1: 25:[23, 11] Operation: 40-29=11
Exploring Operation: 40-23=17, Resulting Numbers: [29, 17]
Generated Node #0,3,2: 25:[29, 17] Operation: 40-23=17
Exploring Operation: 29+23=52, Resulting Numbers: [40, 52]
Generated Node #0,3,3: 25:[40, 52] Operation: 29+23=52
Exploring Operation: 29-23=6, Resulting Numbers: [40, 6]
Generated Node #0,3,4: 25:[40, 6] Operation: 29-23=6
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 25:[23, 11], Operations: ['71-31=40', '40-29=11']
Exploring Operation: 23*11=253, Resulting Numbers: [253]
253,25 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 25:[29, 17], Operations: ['71-31=40', '40-23=17']
Exploring Operation: 29*17=493, Resulting Numbers: [493]
493,25 unequal: No Solution
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 25:[40, 6], Operations: ['71-31=40', '29-23=6']
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,25 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 25:[29, 63], Operations: ['71-31=40', '23+40=63']
Exploring Operation: 29+63=92, Resulting Numbers: [92]
92,25 unequal: No Solution
Exploring Operation: 63-29=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 29*63=1827, Resulting Numbers: [1827]
1827,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 25:[40, 52], Operations: ['71-31=40', '29+23=52']
Exploring Operation: 40*52=2080, Resulting Numbers: [2080]
2080,25 unequal: No Solution
Exploring Operation: 40+52=92, Resulting Numbers: [92]
92,25 unequal: No Solution
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 25:[31, 23, 42], Operations: ['71-29=42']
Exploring Operation: 42-31=11, Resulting Numbers: [23, 11]
Generated Node #0,4,0: 25:[23, 11] Operation: 42-31=11
Exploring Operation: 42-23=19, Resulting Numbers: [31, 19]
Generated Node #0,4,1: 25:[31, 19] Operation: 42-23=19
Exploring Operation: 31-23=8, Resulting Numbers: [42, 8]
Generated Node #0,4,2: 25:[42, 8] Operation: 31-23=8
Exploring Operation: 31+23=54, Resulting Numbers: [42, 54]
Generated Node #0,4,3: 25:[42, 54] Operation: 31+23=54
Exploring Operation: 23+42=65, Resulting Numbers: [31, 65]
Generated Node #0,4,4: 25:[31, 65] Operation: 23+42=65
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 25:[23, 11], Operations: ['71-29=42', '42-31=11']
Exploring Operation: 23*11=253, Resulting Numbers: [253]
253,25 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,25 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 #0,4,1
Current State: 25:[31, 19], Operations: ['71-29=42', '42-23=19']
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 31*19=589, Resulting Numbers: [589]
589,25 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,25 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 #0,4,2
Current State: 25:[42, 8], Operations: ['71-29=42', '31-23=8']
Exploring Operation: 42+8=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 42*8=336, Resulting Numbers: [336]
336,25 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,25 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 #0,4,3
Current State: 25:[42, 54], Operations: ['71-29=42', '31+23=54']
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 42*54=2268, Resulting Numbers: [2268]
2268,25 unequal: No Solution
Exploring Operation: 42+54=96, Resulting Numbers: [96]
96,25 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 #0,4,4
Current State: 25:[31, 65], Operations: ['71-29=42', '23+42=65']
Exploring Operation: 31*65=2015, Resulting Numbers: [2015]
2015,25 unequal: No Solution
Exploring Operation: 31+65=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[29, 31, 48], Operations: ['71-23=48']
Exploring Operation: 48-29=19, Resulting Numbers: [31, 19]
Generated Node #0,1,0: 25:[31, 19] Operation: 48-29=19
Exploring Operation: 29+48=77, Resulting Numbers: [31, 77]
Generated Node #0,1,1: 25:[31, 77] Operation: 29+48=77
Exploring Operation: 31-29=2, Resulting Numbers: [48, 2]
Generated Node #0,1,2: 25:[48, 2] Operation: 31-29=2
Exploring Operation: 48-31=17, Resulting Numbers: [29, 17]
Generated Node #0,1,3: 25:[29, 17] Operation: 48-31=17
Exploring Operation: 29+31=60, Resulting Numbers: [48, 60]
Generated Node #0,1,4: 25:[48, 60] Operation: 29+31=60
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 25:[31, 19], Operations: ['71-23=48', '48-29=19']
Exploring Operation: 31*19=589, Resulting Numbers: [589]
589,25 unequal: No Solution
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 25:[29, 17], Operations: ['71-23=48', '48-31=17']
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 29*17=493, Resulting Numbers: [493]
493,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 25:[48, 2], Operations: ['71-23=48', '31-29=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 48/2=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:[31, 77], Operations: ['71-23=48', '29+48=77']
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 31+77=108, Resulting Numbers: [108]
108,25 unequal: No Solution
Exploring Operation: 31*77=2387, Resulting Numbers: [2387]
2387,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 25:[48, 60], Operations: ['71-23=48', '29+31=60']
Exploring Operation: 60-48=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 48+60=108, Resulting Numbers: [108]
108,25 unequal: No Solution
Exploring Operation: 48*60=2880, Resulting Numbers: [2880]
2880,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[71, 23, 2], Operations: ['31-29=2']
Exploring Operation: 23-2=21, Resulting Numbers: [71, 21]
Generated Node #0,0,0: 25:[71, 21] Operation: 23-2=21
Exploring Operation: 71-23=48, Resulting Numbers: [2, 48]
Generated Node #0,0,1: 25:[2, 48] Operation: 71-23=48
Exploring Operation: 71-2=69, Resulting Numbers: [23, 69]
Generated Node #0,0,2: 25:[23, 69] Operation: 71-2=69
Exploring Operation: 23+2=25, Resulting Numbers: [71, 25]
Generated Node #0,0,3: 25:[71, 25] Operation: 23+2=25
Exploring Operation: 71+2=73, Resulting Numbers: [23, 73]
Generated Node #0,0,4: 25:[23, 73] Operation: 71+2=73
Moving to Node #0,0,1
Current State: 25:[2, 48], Operations: ['31-29=2', '71-23=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[71, 25], Operations: ['31-29=2', '23+2=25']
Exploring Operation: 71*25=1775, Resulting Numbers: [1775]
1775,25 unequal: No Solution
Exploring Operation: 71-25=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 71+25=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[23, 69], Operations: ['31-29=2', '71-2=69']
Exploring Operation: 69/23=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 69-23=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 23+69=92, Resulting Numbers: [92]
92,25 unequal: No Solution
Exploring Operation: 23*69=1587, Resulting Numbers: [1587]
1587,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[71, 21], Operations: ['31-29=2', '23-2=21']
Exploring Operation: 71*21=1491, Resulting Numbers: [1491]
1491,25 unequal: No Solution
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 71+21=92, Resulting Numbers: [92]
92,25 unequal: No Solution
Moving to Node #0,0,4
Current State: 25:[23, 73], Operations: ['31-29=2', '71+2=73']
Exploring Operation: 23*73=1679, Resulting Numbers: [1679]
1679,25 unequal: No Solution
Exploring Operation: 23+73=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 73-23=50, Resulting Numbers: [50]
50,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[31, 71, 6], Operations: ['29-23=6']
Exploring Operation: 31+6=37, Resulting Numbers: [71, 37]
Generated Node #0,2,0: 25:[71, 37] Operation: 31+6=37
Exploring Operation: 71-31=40, Resulting Numbers: [6, 40]
Generated Node #0,2,1: 25:[6, 40] Operation: 71-31=40
Exploring Operation: 31-6=25, Resulting Numbers: [71, 25]
Generated Node #0,2,2: 25:[71, 25] Operation: 31-6=25
Exploring Operation: 71-6=65, Resulting Numbers: [31, 65]
Generated Node #0,2,3: 25:[31, 65] Operation: 71-6=65
Exploring Operation: 71+6=77, Resulting Numbers: [31, 77]
Generated Node #0,2,4: 25:[31, 77] Operation: 71+6=77
Moving to Node #0,2,1
Current State: 25:[6, 40], Operations: ['29-23=6', '71-31=40']
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 6*40=240, Resulting Numbers: [240]
240,25 unequal: No Solution
Moving to Node #0,2,3
Current State: 25:[31, 65], Operations: ['29-23=6', '71-6=65']
Exploring Operation: 31+65=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 31*65=2015, Resulting Numbers: [2015]
2015,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[71, 25], Operations: ['29-23=6', '31-6=25']
Exploring Operation: 71-25=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 71+25=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 71*25=1775, Resulting Numbers: [1775]
1775,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[71, 37], Operations: ['29-23=6', '31+6=37']
Exploring Operation: 71+37=108, Resulting Numbers: [108]
108,25 unequal: No Solution
Exploring Operation: 71*37=2627, Resulting Numbers: [2627]
2627,25 unequal: No Solution
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Moving to Node #0,2,4
Current State: 25:[31, 77], Operations: ['29-23=6', '71+6=77']
Exploring Operation: 31+77=108, Resulting Numbers: [108]
108,25 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 31*77=2387, Resulting Numbers: [2387]
2387,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
17,
3,
82,
2
] | 59 | [
"82-17=65",
"3*2=6",
"65-6=59"
] | Current State: 59:[17, 3, 82, 2], Operations: []
Exploring Operation: 82-17=65, Resulting Numbers: [3, 2, 65]
Generated Node #2: [3, 2, 65] from Operation: 82-17=65
Current State: 59:[3, 2, 65], Operations: ['82-17=65']
Exploring Operation: 3*2=6, Resulting Numbers: [65, 6]
Generated Node #3: [65, 6] from Operation: 3*2=6
Current State: 59:[65, 6], Operations: ['82-17=65', '3*2=6']
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[17, 3, 82, 2], Operations: []
Exploring Operation: 17*3=51, Resulting Numbers: [82, 2, 51]
Generated Node #0,0: 59:[82, 2, 51] Operation: 17*3=51
Moving to Node #0,0
Current State: 59:[82, 2, 51], Operations: ['17*3=51']
Exploring Operation: 82/2=41, Resulting Numbers: [51, 41]
Generated Node #0,0,0: 59:[51, 41] Operation: 82/2=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[51, 41], Operations: ['17*3=51', '82/2=41']
Exploring Operation: 51+41=92, Resulting Numbers: [92]
92,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
11,
49,
49,
72
] | 84 | [
"11+72=83",
"49/49=1",
"83+1=84"
] | Current State: 84:[11, 49, 49, 72], Operations: []
Exploring Operation: 11+72=83, Resulting Numbers: [49, 49, 83]
Generated Node #2: [49, 49, 83] from Operation: 11+72=83
Current State: 84:[49, 49, 83], Operations: ['11+72=83']
Exploring Operation: 49/49=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 49/49=1
Current State: 84:[83, 1], Operations: ['11+72=83', '49/49=1']
Exploring Operation: 83+1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[11, 49, 49, 72], Operations: []
Exploring Operation: 72-49=23, Resulting Numbers: [11, 49, 23]
Generated Node #0,0: 84:[11, 49, 23] Operation: 72-49=23
Exploring Operation: 72-49=23, Resulting Numbers: [11, 49, 23]
Generated Node #0,1: 84:[11, 49, 23] Operation: 72-49=23
Moving to Node #0,0
Current State: 84:[11, 49, 23], Operations: ['72-49=23']
Exploring Operation: 49-11=38, Resulting Numbers: [23, 38]
Generated Node #0,0,0: 84:[23, 38] Operation: 49-11=38
Exploring Operation: 49-23=26, Resulting Numbers: [11, 26]
Generated Node #0,0,1: 84:[11, 26] Operation: 49-23=26
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[11, 26], Operations: ['72-49=23', '49-23=26']
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[23, 38], Operations: ['72-49=23', '49-11=38']
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,84 unequal: No Solution
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,84 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: 84:[11, 49, 23], Operations: ['72-49=23']
Exploring Operation: 49-11=38, Resulting Numbers: [23, 38]
Generated Node #0,1,0: 84:[23, 38] Operation: 49-11=38
Exploring Operation: 49-23=26, Resulting Numbers: [11, 26]
Generated Node #0,1,1: 84:[11, 26] Operation: 49-23=26
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 84:[11, 26], Operations: ['72-49=23', '49-23=26']
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 84:[23, 38], Operations: ['72-49=23', '49-11=38']
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,84 unequal: No Solution
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,84 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 |
[
2,
90,
72,
13
] | 78 | [
"2+13=15",
"90/15=6",
"72+6=78"
] | Current State: 78:[2, 90, 72, 13], Operations: []
Exploring Operation: 2+13=15, Resulting Numbers: [90, 72, 15]
Generated Node #2: [90, 72, 15] from Operation: 2+13=15
Current State: 78:[90, 72, 15], Operations: ['2+13=15']
Exploring Operation: 90/15=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 90/15=6
Current State: 78:[72, 6], Operations: ['2+13=15', '90/15=6']
Exploring Operation: 72+6=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[2, 90, 72, 13], Operations: []
Exploring Operation: 90-13=77, Resulting Numbers: [2, 72, 77]
Generated Node #0,0: 78:[2, 72, 77] Operation: 90-13=77
Exploring Operation: 90/2=45, Resulting Numbers: [72, 13, 45]
Generated Node #0,1: 78:[72, 13, 45] Operation: 90/2=45
Exploring Operation: 90-72=18, Resulting Numbers: [2, 13, 18]
Generated Node #0,2: 78:[2, 13, 18] Operation: 90-72=18
Moving to Node #0,2
Current State: 78:[2, 13, 18], Operations: ['90-72=18']
Exploring Operation: 18-2=16, Resulting Numbers: [13, 16]
Generated Node #0,2,0: 78:[13, 16] Operation: 18-2=16
Exploring Operation: 2*18=36, Resulting Numbers: [13, 36]
Generated Node #0,2,1: 78:[13, 36] Operation: 2*18=36
Exploring Operation: 18-13=5, Resulting Numbers: [2, 5]
Generated Node #0,2,2: 78:[2, 5] Operation: 18-13=5
Moving to Node #0,0
Current State: 78:[2, 72, 77], Operations: ['90-13=77']
Exploring Operation: 72/2=36, Resulting Numbers: [77, 36]
Generated Node #0,0,0: 78:[77, 36] Operation: 72/2=36
Exploring Operation: 77-72=5, Resulting Numbers: [2, 5]
Generated Node #0,0,1: 78:[2, 5] Operation: 77-72=5
Exploring Operation: 2+72=74, Resulting Numbers: [77, 74]
Generated Node #0,0,2: 78:[77, 74] Operation: 2+72=74
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 78:[2, 5], Operations: ['90-13=77', '77-72=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[77, 36], Operations: ['90-13=77', '72/2=36']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,78 unequal: No Solution
Exploring Operation: 77*36=2772, Resulting Numbers: [2772]
2772,78 unequal: No Solution
Exploring Operation: 77+36=113, Resulting Numbers: [113]
113,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 78:[77, 74], Operations: ['90-13=77', '2+72=74']
Exploring Operation: 77-74=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 77*74=5698, Resulting Numbers: [5698]
5698,78 unequal: No Solution
Exploring Operation: 77+74=151, Resulting Numbers: [151]
151,78 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:[72, 13, 45], Operations: ['90/2=45']
Exploring Operation: 45-13=32, Resulting Numbers: [72, 32]
Generated Node #0,1,0: 78:[72, 32] Operation: 45-13=32
Exploring Operation: 72-45=27, Resulting Numbers: [13, 27]
Generated Node #0,1,1: 78:[13, 27] Operation: 72-45=27
Exploring Operation: 72+13=85, Resulting Numbers: [45, 85]
Generated Node #0,1,2: 78:[45, 85] Operation: 72+13=85
Moving to Node #0,2,2
Current State: 78:[2, 5], Operations: ['90-72=18', '18-13=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[13, 27], Operations: ['90/2=45', '72-45=27']
Exploring Operation: 13*27=351, Resulting Numbers: [351]
351,78 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,78 unequal: No Solution
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Moving to Node #0,2,1
Current State: 78:[13, 36], Operations: ['90-72=18', '2*18=36']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,78 unequal: No Solution
Exploring Operation: 13*36=468, Resulting Numbers: [468]
468,78 unequal: No Solution
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Moving to Node #0,2,0
Current State: 78:[13, 16], Operations: ['90-72=18', '18-2=16']
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,78 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 13*16=208, Resulting Numbers: [208]
208,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[72, 32], Operations: ['90/2=45', '45-13=32']
Exploring Operation: 72-32=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Exploring Operation: 72+32=104, Resulting Numbers: [104]
104,78 unequal: No Solution
Exploring Operation: 72*32=2304, Resulting Numbers: [2304]
2304,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[45, 85], Operations: ['90/2=45', '72+13=85']
Exploring Operation: 45*85=3825, Resulting Numbers: [3825]
3825,78 unequal: No Solution
Exploring Operation: 85-45=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Exploring Operation: 45+85=130, Resulting Numbers: [130]
130,78 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
45,
41,
45,
93
] | 87 | [
"45-41=4",
"45*4=180",
"180-93=87"
] | Current State: 87:[45, 41, 45, 93], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [93, 4]
Generated Node #2: [93, 4] from Operation: 45-41=4
Current State: 87:[93, 4], Operations: ['45-41=4']
Exploring Operation: 45*4=180, Resulting Numbers: [93, 180]
Generated Node #3: [93, 180] from Operation: 45*4=180
Current State: 87:[93, 180], Operations: ['45-41=4', '45*4=180']
Exploring Operation: 180-93=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[45, 41, 45, 93], Operations: []
Exploring Operation: 45/45=1, Resulting Numbers: [41, 93, 1]
Generated Node #0,0: 87:[41, 93, 1] Operation: 45/45=1
Exploring Operation: 45+45=90, Resulting Numbers: [41, 93, 90]
Generated Node #0,1: 87:[41, 93, 90] Operation: 45+45=90
Exploring Operation: 45-45=0, Resulting Numbers: [41, 93, 0]
Generated Node #0,2: 87:[41, 93, 0] Operation: 45-45=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[41, 93, 1], Operations: ['45/45=1']
Exploring Operation: 41-1=40, Resulting Numbers: [93, 40]
Generated Node #0,0,0: 87:[93, 40] Operation: 41-1=40
Exploring Operation: 41*1=41, Resulting Numbers: [93, 41]
Generated Node #0,0,1: 87:[93, 41] Operation: 41*1=41
Exploring Operation: 93-1=92, Resulting Numbers: [41, 92]
Generated Node #0,0,2: 87:[41, 92] Operation: 93-1=92
Moving to Node #0,0,0
Current State: 87:[93, 40], Operations: ['45/45=1', '41-1=40']
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,87 unequal: No Solution
Exploring Operation: 93+40=133, Resulting Numbers: [133]
133,87 unequal: No Solution
Exploring Operation: 93*40=3720, Resulting Numbers: [3720]
3720,87 unequal: No Solution
Moving to Node #0,0,2
Current State: 87:[41, 92], Operations: ['45/45=1', '93-1=92']
Exploring Operation: 41*92=3772, Resulting Numbers: [3772]
3772,87 unequal: No Solution
Exploring Operation: 41+92=133, Resulting Numbers: [133]
133,87 unequal: No Solution
Exploring Operation: 92-41=51, Resulting Numbers: [51]
51,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[93, 41], Operations: ['45/45=1', '41*1=41']
Exploring Operation: 93+41=134, Resulting Numbers: [134]
134,87 unequal: No Solution
Exploring Operation: 93-41=52, Resulting Numbers: [52]
52,87 unequal: No Solution
Exploring Operation: 93*41=3813, Resulting Numbers: [3813]
3813,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[41, 93, 90], Operations: ['45+45=90']
Exploring Operation: 93-41=52, Resulting Numbers: [90, 52]
Generated Node #0,1,0: 87:[90, 52] Operation: 93-41=52
Exploring Operation: 93-90=3, Resulting Numbers: [41, 3]
Generated Node #0,1,1: 87:[41, 3] Operation: 93-90=3
Exploring Operation: 90-41=49, Resulting Numbers: [93, 49]
Generated Node #0,1,2: 87:[93, 49] Operation: 90-41=49
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[41, 3], Operations: ['45+45=90', '93-90=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Exploring Operation: 41*3=123, Resulting Numbers: [123]
123,87 unequal: No Solution
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[90, 52], Operations: ['45+45=90', '93-41=52']
Exploring Operation: 90+52=142, Resulting Numbers: [142]
142,87 unequal: No Solution
Exploring Operation: 90*52=4680, Resulting Numbers: [4680]
4680,87 unequal: No Solution
Exploring Operation: 90-52=38, Resulting Numbers: [38]
38,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 87:[93, 49], Operations: ['45+45=90', '90-41=49']
Exploring Operation: 93-49=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 93+49=142, Resulting Numbers: [142]
142,87 unequal: No Solution
Exploring Operation: 93*49=4557, Resulting Numbers: [4557]
4557,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[41, 93, 0], Operations: ['45-45=0']
Exploring Operation: 41*0=0, Resulting Numbers: [93, 0]
Generated Node #0,2,0: 87:[93, 0] Operation: 41*0=0
Exploring Operation: 41+0=41, Resulting Numbers: [93, 41]
Generated Node #0,2,1: 87:[93, 41] Operation: 41+0=41
Exploring Operation: 93*0=0, Resulting Numbers: [41, 0]
Generated Node #0,2,2: 87:[41, 0] Operation: 93*0=0
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 87:[93, 0], Operations: ['45-45=0', '41*0=0']
Exploring Operation: 93-0=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 93+0=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 93*0=0, Resulting Numbers: [0]
0,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 87:[41, 0], Operations: ['45-45=0', '93*0=0']
Exploring Operation: 41-0=41, Resulting Numbers: [41]
41,87 unequal: No Solution
Exploring Operation: 41+0=41, Resulting Numbers: [41]
41,87 unequal: No Solution
Exploring Operation: 41*0=0, Resulting Numbers: [0]
0,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 87:[93, 41], Operations: ['45-45=0', '41+0=41']
Exploring Operation: 93+41=134, Resulting Numbers: [134]
134,87 unequal: No Solution
Exploring Operation: 93*41=3813, Resulting Numbers: [3813]
3813,87 unequal: No Solution
Exploring Operation: 93-41=52, Resulting Numbers: [52]
52,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
20,
35,
23,
21
] | 99 | [
"20+35=55",
"23+21=44",
"55+44=99"
] | Current State: 99:[20, 35, 23, 21], Operations: []
Exploring Operation: 20+35=55, Resulting Numbers: [23, 21, 55]
Generated Node #2: [23, 21, 55] from Operation: 20+35=55
Current State: 99:[23, 21, 55], Operations: ['20+35=55']
Exploring Operation: 23+21=44, Resulting Numbers: [55, 44]
Generated Node #3: [55, 44] from Operation: 23+21=44
Current State: 99:[55, 44], Operations: ['20+35=55', '23+21=44']
Exploring Operation: 55+44=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[20, 35, 23, 21], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [35, 21, 3]
Generated Node #0,0: 99:[35, 21, 3] Operation: 23-20=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[35, 21, 3], Operations: ['23-20=3']
Exploring Operation: 35-21=14, Resulting Numbers: [3, 14]
Generated Node #0,0,0: 99:[3, 14] Operation: 35-21=14
Moving to Node #0,0,0
Current State: 99:[3, 14], Operations: ['23-20=3', '35-21=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
2,
82,
1,
6
] | 74 | [
"82-2=80",
"1*6=6",
"80-6=74"
] | Current State: 74:[2, 82, 1, 6], Operations: []
Exploring Operation: 82-2=80, Resulting Numbers: [1, 6, 80]
Generated Node #2: [1, 6, 80] from Operation: 82-2=80
Current State: 74:[1, 6, 80], Operations: ['82-2=80']
Exploring Operation: 1*6=6, Resulting Numbers: [80, 6]
Generated Node #3: [80, 6] from Operation: 1*6=6
Current State: 74:[80, 6], Operations: ['82-2=80', '1*6=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[2, 82, 1, 6], Operations: []
Exploring Operation: 6-2=4, Resulting Numbers: [82, 1, 4]
Generated Node #0,0: 74:[82, 1, 4] Operation: 6-2=4
Exploring Operation: 82-2=80, Resulting Numbers: [1, 6, 80]
Generated Node #0,1: 74:[1, 6, 80] Operation: 82-2=80
Exploring Operation: 82-6=76, Resulting Numbers: [2, 1, 76]
Generated Node #0,2: 74:[2, 1, 76] Operation: 82-6=76
Exploring Operation: 82/2=41, Resulting Numbers: [1, 6, 41]
Generated Node #0,3: 74:[1, 6, 41] Operation: 82/2=41
Exploring Operation: 6/2=3, Resulting Numbers: [82, 1, 3]
Generated Node #0,4: 74:[82, 1, 3] Operation: 6/2=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[2, 1, 76], Operations: ['82-6=76']
Exploring Operation: 2*1=2, Resulting Numbers: [76, 2]
Generated Node #0,2,0: 74:[76, 2] Operation: 2*1=2
Exploring Operation: 76/2=38, Resulting Numbers: [1, 38]
Generated Node #0,2,1: 74:[1, 38] Operation: 76/2=38
Exploring Operation: 76-1=75, Resulting Numbers: [2, 75]
Generated Node #0,2,2: 74:[2, 75] Operation: 76-1=75
Exploring Operation: 2/1=2, Resulting Numbers: [76, 2]
Generated Node #0,2,3: 74:[76, 2] Operation: 2/1=2
Exploring Operation: 76-2=74, Resulting Numbers: [1, 74]
Generated Node #0,2,4: 74:[1, 74] Operation: 76-2=74
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 74:[2, 75], Operations: ['82-6=76', '76-1=75']
Exploring Operation: 2*75=150, Resulting Numbers: [150]
150,74 unequal: No Solution
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 74:[1, 74], Operations: ['82-6=76', '76-2=74']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[2, 82, 1, 6], Operations: []
Exploring Operation: 82-6=76, Resulting Numbers: [2, 1, 76]
Generated Node #0,2: 74:[2, 1, 76] Operation: 82-6=76
Moving to Node #0,2
Current State: 74:[2, 1, 76], Operations: ['82-6=76']
Exploring Operation: 76-2=74, Resulting Numbers: [1, 74]
Generated Node #0,2,4: 74:[1, 74] Operation: 76-2=74
Moving to Node #0,2,4
Current State: 74:[1, 74], Operations: ['82-6=76', '76-2=74']
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
1,
5,
11,
4
] | 80 | [
"1+11=12",
"4+12=16",
"5*16=80"
] | Current State: 80:[1, 5, 11, 4], Operations: []
Exploring Operation: 1+11=12, Resulting Numbers: [5, 4, 12]
Generated Node #2: [5, 4, 12] from Operation: 1+11=12
Current State: 80:[5, 4, 12], Operations: ['1+11=12']
Exploring Operation: 4+12=16, Resulting Numbers: [5, 16]
Generated Node #3: [5, 16] from Operation: 4+12=16
Current State: 80:[5, 16], Operations: ['1+11=12', '4+12=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[1, 5, 11, 4], Operations: []
Exploring Operation: 11-1=10, Resulting Numbers: [5, 4, 10]
Generated Node #0,0: 80:[5, 4, 10] Operation: 11-1=10
Exploring Operation: 5-1=4, Resulting Numbers: [11, 4, 4]
Generated Node #0,1: 80:[11, 4, 4] Operation: 5-1=4
Exploring Operation: 1*5=5, Resulting Numbers: [11, 4, 5]
Generated Node #0,2: 80:[11, 4, 5] Operation: 1*5=5
Moving to Node #0,0
Current State: 80:[5, 4, 10], Operations: ['11-1=10']
Exploring Operation: 5*4=20, Resulting Numbers: [10, 20]
Generated Node #0,0,0: 80:[10, 20] Operation: 5*4=20
Exploring Operation: 10/5=2, Resulting Numbers: [4, 2]
Generated Node #0,0,1: 80:[4, 2] Operation: 10/5=2
Exploring Operation: 10-5=5, Resulting Numbers: [4, 5]
Generated Node #0,0,2: 80:[4, 5] Operation: 10-5=5
Moving to Node #0,1
Current State: 80:[11, 4, 4], Operations: ['5-1=4']
Exploring Operation: 11+4=15, Resulting Numbers: [4, 15]
Generated Node #0,1,0: 80:[4, 15] Operation: 11+4=15
Exploring Operation: 11+4=15, Resulting Numbers: [4, 15]
Generated Node #0,1,1: 80:[4, 15] Operation: 11+4=15
Exploring Operation: 11-4=7, Resulting Numbers: [4, 7]
Generated Node #0,1,2: 80:[4, 7] Operation: 11-4=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[4, 15], Operations: ['5-1=4', '11+4=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[4, 15], Operations: ['5-1=4', '11+4=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 80:[4, 7], Operations: ['5-1=4', '11-4=7']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,80 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: 80:[11, 4, 5], Operations: ['1*5=5']
Exploring Operation: 11+4=15, Resulting Numbers: [5, 15]
Generated Node #0,2,0: 80:[5, 15] Operation: 11+4=15
Exploring Operation: 11-4=7, Resulting Numbers: [5, 7]
Generated Node #0,2,1: 80:[5, 7] Operation: 11-4=7
Exploring Operation: 11+5=16, Resulting Numbers: [4, 16]
Generated Node #0,2,2: 80:[4, 16] Operation: 11+5=16
Moving to Node #0,0,0
Current State: 80:[10, 20], Operations: ['11-1=10', '5*4=20']
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[4, 5], Operations: ['11-1=10', '10-5=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[4, 2], Operations: ['11-1=10', '10/5=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[4, 16], Operations: ['1*5=5', '11+5=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[5, 15], Operations: ['1*5=5', '11+4=15']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[5, 7], Operations: ['1*5=5', '11-4=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,80 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
58,
90,
36,
99
] | 85 | [
"58+90=148",
"99-36=63",
"148-63=85"
] | Current State: 85:[58, 90, 36, 99], Operations: []
Exploring Operation: 58+90=148, Resulting Numbers: [36, 99, 148]
Generated Node #2: [36, 99, 148] from Operation: 58+90=148
Current State: 85:[36, 99, 148], Operations: ['58+90=148']
Exploring Operation: 99-36=63, Resulting Numbers: [148, 63]
Generated Node #3: [148, 63] from Operation: 99-36=63
Current State: 85:[148, 63], Operations: ['58+90=148', '99-36=63']
Exploring Operation: 148-63=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[58, 90, 36, 99], Operations: []
Exploring Operation: 99-58=41, Resulting Numbers: [90, 36, 41]
Generated Node #0,0: 85:[90, 36, 41] Operation: 99-58=41
Exploring Operation: 99-90=9, Resulting Numbers: [58, 36, 9]
Generated Node #0,1: 85:[58, 36, 9] Operation: 99-90=9
Exploring Operation: 58-36=22, Resulting Numbers: [90, 99, 22]
Generated Node #0,2: 85:[90, 99, 22] Operation: 58-36=22
Exploring Operation: 90-58=32, Resulting Numbers: [36, 99, 32]
Generated Node #0,3: 85:[36, 99, 32] Operation: 90-58=32
Exploring Operation: 58+36=94, Resulting Numbers: [90, 99, 94]
Generated Node #0,4: 85:[90, 99, 94] Operation: 58+36=94
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[90, 99, 22], Operations: ['58-36=22']
Exploring Operation: 90+22=112, Resulting Numbers: [99, 112]
Generated Node #0,2,0: 85:[99, 112] Operation: 90+22=112
Exploring Operation: 99-22=77, Resulting Numbers: [90, 77]
Generated Node #0,2,1: 85:[90, 77] Operation: 99-22=77
Exploring Operation: 99+22=121, Resulting Numbers: [90, 121]
Generated Node #0,2,2: 85:[90, 121] Operation: 99+22=121
Exploring Operation: 99-90=9, Resulting Numbers: [22, 9]
Generated Node #0,2,3: 85:[22, 9] Operation: 99-90=9
Exploring Operation: 90-22=68, Resulting Numbers: [99, 68]
Generated Node #0,2,4: 85:[99, 68] Operation: 90-22=68
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 85:[22, 9], Operations: ['58-36=22', '99-90=9']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,85 unequal: No Solution
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,85 unequal: No Solution
Exploring Operation: 22*9=198, Resulting Numbers: [198]
198,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 85:[90, 77], Operations: ['58-36=22', '99-22=77']
Exploring Operation: 90*77=6930, Resulting Numbers: [6930]
6930,85 unequal: No Solution
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,85 unequal: No Solution
Exploring Operation: 90+77=167, Resulting Numbers: [167]
167,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 85:[99, 68], Operations: ['58-36=22', '90-22=68']
Exploring Operation: 99+68=167, Resulting Numbers: [167]
167,85 unequal: No Solution
Exploring Operation: 99-68=31, Resulting Numbers: [31]
31,85 unequal: No Solution
Exploring Operation: 99*68=6732, Resulting Numbers: [6732]
6732,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 85:[99, 112], Operations: ['58-36=22', '90+22=112']
Exploring Operation: 99+112=211, Resulting Numbers: [211]
211,85 unequal: No Solution
Exploring Operation: 99*112=11088, Resulting Numbers: [11088]
11088,85 unequal: No Solution
Exploring Operation: 112-99=13, Resulting Numbers: [13]
13,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 85:[90, 121], Operations: ['58-36=22', '99+22=121']
Exploring Operation: 121-90=31, Resulting Numbers: [31]
31,85 unequal: No Solution
Exploring Operation: 90*121=10890, Resulting Numbers: [10890]
10890,85 unequal: No Solution
Exploring Operation: 90+121=211, Resulting Numbers: [211]
211,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 85:[90, 99, 94], Operations: ['58+36=94']
Exploring Operation: 99-90=9, Resulting Numbers: [94, 9]
Generated Node #0,4,0: 85:[94, 9] Operation: 99-90=9
Exploring Operation: 90+94=184, Resulting Numbers: [99, 184]
Generated Node #0,4,1: 85:[99, 184] Operation: 90+94=184
Exploring Operation: 94-90=4, Resulting Numbers: [99, 4]
Generated Node #0,4,2: 85:[99, 4] Operation: 94-90=4
Exploring Operation: 90+99=189, Resulting Numbers: [94, 189]
Generated Node #0,4,3: 85:[94, 189] Operation: 90+99=189
Exploring Operation: 99-94=5, Resulting Numbers: [90, 5]
Generated Node #0,4,4: 85:[90, 5] Operation: 99-94=5
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 85:[90, 5], Operations: ['58+36=94', '99-94=5']
Exploring Operation: 90+5=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Exploring Operation: 90*5=450, Resulting Numbers: [450]
450,85 unequal: No Solution
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,85 unequal: No Solution
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[58, 90, 36, 99], Operations: []
Exploring Operation: 58+36=94, Resulting Numbers: [90, 99, 94]
Generated Node #0,4: 85:[90, 99, 94] Operation: 58+36=94
Moving to Node #0,4
Current State: 85:[90, 99, 94], Operations: ['58+36=94']
Exploring Operation: 99-94=5, Resulting Numbers: [90, 5]
Generated Node #0,4,4: 85:[90, 5] Operation: 99-94=5
Moving to Node #0,4,4
Current State: 85:[90, 5], Operations: ['58+36=94', '99-94=5']
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_5 | sum_heuristic |
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