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 |
|---|---|---|---|---|---|---|---|---|
[
45,
28,
87,
44
] | 14 | [
"87-45=42",
"44-42=2",
"28/2=14"
] | Current State: 14:[45, 28, 87, 44], Operations: []
Exploring Operation: 87-45=42, Resulting Numbers: [28, 44, 42]
Generated Node #2: [28, 44, 42] from Operation: 87-45=42
Current State: 14:[28, 44, 42], Operations: ['87-45=42']
Exploring Operation: 44-42=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 44-42=2
Current State: 14:[28, 2], Operations: ['87-45=42', '44-42=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[45, 28, 87, 44], Operations: []
Exploring Operation: 45-28=17, Resulting Numbers: [87, 44, 17]
Generated Node #0,0: 14:[87, 44, 17] Operation: 45-28=17
Exploring Operation: 45-44=1, Resulting Numbers: [28, 87, 1]
Generated Node #0,1: 14:[28, 87, 1] Operation: 45-44=1
Exploring Operation: 87-44=43, Resulting Numbers: [45, 28, 43]
Generated Node #0,2: 14:[45, 28, 43] Operation: 87-44=43
Exploring Operation: 87-45=42, Resulting Numbers: [28, 44, 42]
Generated Node #0,3: 14:[28, 44, 42] Operation: 87-45=42
Moving to Node #0,3
Current State: 14:[28, 44, 42], Operations: ['87-45=42']
Exploring Operation: 42-28=14, Resulting Numbers: [44, 14]
Generated Node #0,3,0: 14:[44, 14] Operation: 42-28=14
Exploring Operation: 44-28=16, Resulting Numbers: [42, 16]
Generated Node #0,3,1: 14:[42, 16] Operation: 44-28=16
Exploring Operation: 28+44=72, Resulting Numbers: [42, 72]
Generated Node #0,3,2: 14:[42, 72] Operation: 28+44=72
Exploring Operation: 44-42=2, Resulting Numbers: [28, 2]
Generated Node #0,3,3: 14:[28, 2] Operation: 44-42=2
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 14:[28, 2], Operations: ['87-45=42', '44-42=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[45, 28, 87, 44], Operations: []
Exploring Operation: 87-45=42, Resulting Numbers: [28, 44, 42]
Generated Node #0,3: 14:[28, 44, 42] Operation: 87-45=42
Moving to Node #0,3
Current State: 14:[28, 44, 42], Operations: ['87-45=42']
Exploring Operation: 44-42=2, Resulting Numbers: [28, 2]
Generated Node #0,3,3: 14:[28, 2] Operation: 44-42=2
Moving to Node #0,3,3
Current State: 14:[28, 2], Operations: ['87-45=42', '44-42=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
5,
34,
11,
80
] | 61 | [
"80/5=16",
"34+11=45",
"16+45=61"
] | Current State: 61:[5, 34, 11, 80], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [34, 11, 16]
Generated Node #2: [34, 11, 16] from Operation: 80/5=16
Current State: 61:[34, 11, 16], Operations: ['80/5=16']
Exploring Operation: 34+11=45, Resulting Numbers: [16, 45]
Generated Node #3: [16, 45] from Operation: 34+11=45
Current State: 61:[16, 45], Operations: ['80/5=16', '34+11=45']
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[5, 34, 11, 80], Operations: []
Exploring Operation: 5+34=39, Resulting Numbers: [11, 80, 39]
Generated Node #0,0: 61:[11, 80, 39] Operation: 5+34=39
Exploring Operation: 5*11=55, Resulting Numbers: [34, 80, 55]
Generated Node #0,1: 61:[34, 80, 55] Operation: 5*11=55
Exploring Operation: 5+11=16, Resulting Numbers: [34, 80, 16]
Generated Node #0,2: 61:[34, 80, 16] Operation: 5+11=16
Exploring Operation: 80-5=75, Resulting Numbers: [34, 11, 75]
Generated Node #0,3: 61:[34, 11, 75] Operation: 80-5=75
Moving to Node #0,1
Current State: 61:[34, 80, 55], Operations: ['5*11=55']
Exploring Operation: 34+80=114, Resulting Numbers: [55, 114]
Generated Node #0,1,0: 61:[55, 114] Operation: 34+80=114
Exploring Operation: 34+55=89, Resulting Numbers: [80, 89]
Generated Node #0,1,1: 61:[80, 89] Operation: 34+55=89
Exploring Operation: 80-34=46, Resulting Numbers: [55, 46]
Generated Node #0,1,2: 61:[55, 46] Operation: 80-34=46
Exploring Operation: 55-34=21, Resulting Numbers: [80, 21]
Generated Node #0,1,3: 61:[80, 21] Operation: 55-34=21
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 61:[55, 46], Operations: ['5*11=55', '80-34=46']
Exploring Operation: 55+46=101, Resulting Numbers: [101]
101,61 unequal: No Solution
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,61 unequal: No Solution
Exploring Operation: 55*46=2530, Resulting Numbers: [2530]
2530,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[80, 89], Operations: ['5*11=55', '34+55=89']
Exploring Operation: 89-80=9, Resulting Numbers: [9]
9,61 unequal: No Solution
Exploring Operation: 80*89=7120, Resulting Numbers: [7120]
7120,61 unequal: No Solution
Exploring Operation: 80+89=169, Resulting Numbers: [169]
169,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[55, 114], Operations: ['5*11=55', '34+80=114']
Exploring Operation: 55*114=6270, Resulting Numbers: [6270]
6270,61 unequal: No Solution
Exploring Operation: 114-55=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 55+114=169, Resulting Numbers: [169]
169,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 61:[80, 21], Operations: ['5*11=55', '55-34=21']
Exploring Operation: 80*21=1680, Resulting Numbers: [1680]
1680,61 unequal: No Solution
Exploring Operation: 80+21=101, Resulting Numbers: [101]
101,61 unequal: No Solution
Exploring Operation: 80-21=59, Resulting Numbers: [59]
59,61 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: 61:[34, 80, 16], Operations: ['5+11=16']
Exploring Operation: 80-34=46, Resulting Numbers: [16, 46]
Generated Node #0,2,0: 61:[16, 46] Operation: 80-34=46
Exploring Operation: 80-16=64, Resulting Numbers: [34, 64]
Generated Node #0,2,1: 61:[34, 64] Operation: 80-16=64
Exploring Operation: 34+16=50, Resulting Numbers: [80, 50]
Generated Node #0,2,2: 61:[80, 50] Operation: 34+16=50
Exploring Operation: 34-16=18, Resulting Numbers: [80, 18]
Generated Node #0,2,3: 61:[80, 18] Operation: 34-16=18
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[34, 64], Operations: ['5+11=16', '80-16=64']
Exploring Operation: 34+64=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 34*64=2176, Resulting Numbers: [2176]
2176,61 unequal: No Solution
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 61:[80, 50], Operations: ['5+11=16', '34+16=50']
Exploring Operation: 80*50=4000, Resulting Numbers: [4000]
4000,61 unequal: No Solution
Exploring Operation: 80-50=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Exploring Operation: 80+50=130, Resulting Numbers: [130]
130,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[16, 46], Operations: ['5+11=16', '80-34=46']
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,61 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 61:[80, 18], Operations: ['5+11=16', '34-16=18']
Exploring Operation: 80*18=1440, Resulting Numbers: [1440]
1440,61 unequal: No Solution
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,61 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: 61:[11, 80, 39], Operations: ['5+34=39']
Exploring Operation: 80-11=69, Resulting Numbers: [39, 69]
Generated Node #0,0,0: 61:[39, 69] Operation: 80-11=69
Exploring Operation: 39-11=28, Resulting Numbers: [80, 28]
Generated Node #0,0,1: 61:[80, 28] Operation: 39-11=28
Exploring Operation: 11+80=91, Resulting Numbers: [39, 91]
Generated Node #0,0,2: 61:[39, 91] Operation: 11+80=91
Exploring Operation: 11+39=50, Resulting Numbers: [80, 50]
Generated Node #0,0,3: 61:[80, 50] Operation: 11+39=50
Moving to Node #0,3
Current State: 61:[34, 11, 75], Operations: ['80-5=75']
Exploring Operation: 34+11=45, Resulting Numbers: [75, 45]
Generated Node #0,3,0: 61:[75, 45] Operation: 34+11=45
Exploring Operation: 11+75=86, Resulting Numbers: [34, 86]
Generated Node #0,3,1: 61:[34, 86] Operation: 11+75=86
Exploring Operation: 75-11=64, Resulting Numbers: [34, 64]
Generated Node #0,3,2: 61:[34, 64] Operation: 75-11=64
Exploring Operation: 34-11=23, Resulting Numbers: [75, 23]
Generated Node #0,3,3: 61:[75, 23] Operation: 34-11=23
Moving to Node #0,0,0
Current State: 61:[39, 69], Operations: ['5+34=39', '80-11=69']
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Exploring Operation: 39*69=2691, Resulting Numbers: [2691]
2691,61 unequal: No Solution
Exploring Operation: 39+69=108, Resulting Numbers: [108]
108,61 unequal: No Solution
Moving to Node #0,3,2
Current State: 61:[34, 64], Operations: ['80-5=75', '75-11=64']
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Exploring Operation: 34*64=2176, Resulting Numbers: [2176]
2176,61 unequal: No Solution
Exploring Operation: 34+64=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[80, 50], Operations: ['5+34=39', '11+39=50']
Exploring Operation: 80+50=130, Resulting Numbers: [130]
130,61 unequal: No Solution
Exploring Operation: 80-50=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Exploring Operation: 80*50=4000, Resulting Numbers: [4000]
4000,61 unequal: No Solution
Moving to Node #0,3,0
Current State: 61:[75, 45], Operations: ['80-5=75', '34+11=45']
Exploring Operation: 75*45=3375, Resulting Numbers: [3375]
3375,61 unequal: No Solution
Exploring Operation: 75-45=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Exploring Operation: 75+45=120, Resulting Numbers: [120]
120,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[34, 86], Operations: ['80-5=75', '11+75=86']
Exploring Operation: 34+86=120, Resulting Numbers: [120]
120,61 unequal: No Solution
Exploring Operation: 34*86=2924, Resulting Numbers: [2924]
2924,61 unequal: No Solution
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[80, 28], Operations: ['5+34=39', '39-11=28']
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,61 unequal: No Solution
Exploring Operation: 80*28=2240, Resulting Numbers: [2240]
2240,61 unequal: No Solution
Exploring Operation: 80+28=108, Resulting Numbers: [108]
108,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[75, 23], Operations: ['80-5=75', '34-11=23']
Exploring Operation: 75+23=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 75*23=1725, Resulting Numbers: [1725]
1725,61 unequal: No Solution
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[39, 91], Operations: ['5+34=39', '11+80=91']
Exploring Operation: 39+91=130, Resulting Numbers: [130]
130,61 unequal: No Solution
Exploring Operation: 91-39=52, Resulting Numbers: [52]
52,61 unequal: No Solution
Exploring Operation: 39*91=3549, Resulting Numbers: [3549]
3549,61 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
68,
6,
34,
98
] | 16 | [
"68/34=2",
"98-2=96",
"96/6=16"
] | Current State: 16:[68, 6, 34, 98], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [6, 98, 2]
Generated Node #2: [6, 98, 2] from Operation: 68/34=2
Current State: 16:[6, 98, 2], Operations: ['68/34=2']
Exploring Operation: 98-2=96, Resulting Numbers: [6, 96]
Generated Node #3: [6, 96] from Operation: 98-2=96
Current State: 16:[6, 96], Operations: ['68/34=2', '98-2=96']
Exploring Operation: 96/6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[68, 6, 34, 98], Operations: []
Exploring Operation: 98-68=30, Resulting Numbers: [6, 34, 30]
Generated Node #0,0: 16:[6, 34, 30] Operation: 98-68=30
Moving to Node #0,0
Current State: 16:[6, 34, 30], Operations: ['98-68=30']
Exploring Operation: 34-30=4, Resulting Numbers: [6, 4]
Generated Node #0,0,0: 16:[6, 4] Operation: 34-30=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[6, 4], Operations: ['98-68=30', '34-30=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,16 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 |
[
62,
6,
65,
49
] | 47 | [
"65-62=3",
"6/3=2",
"49-2=47"
] | Current State: 47:[62, 6, 65, 49], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [6, 49, 3]
Generated Node #2: [6, 49, 3] from Operation: 65-62=3
Current State: 47:[6, 49, 3], Operations: ['65-62=3']
Exploring Operation: 6/3=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 6/3=2
Current State: 47:[49, 2], Operations: ['65-62=3', '6/3=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[62, 6, 65, 49], Operations: []
Exploring Operation: 62-6=56, Resulting Numbers: [65, 49, 56]
Generated Node #0,0: 47:[65, 49, 56] Operation: 62-6=56
Moving to Node #0,0
Current State: 47:[65, 49, 56], Operations: ['62-6=56']
Exploring Operation: 65-49=16, Resulting Numbers: [56, 16]
Generated Node #0,0,0: 47:[56, 16] Operation: 65-49=16
Moving to Node #0,0,0
Current State: 47:[56, 16], Operations: ['62-6=56', '65-49=16']
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,47 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
33,
68,
27,
99
] | 13 | [
"99/33=3",
"27*3=81",
"81-68=13"
] | Current State: 13:[33, 68, 27, 99], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [68, 27, 3]
Generated Node #2: [68, 27, 3] from Operation: 99/33=3
Current State: 13:[68, 27, 3], Operations: ['99/33=3']
Exploring Operation: 27*3=81, Resulting Numbers: [68, 81]
Generated Node #3: [68, 81] from Operation: 27*3=81
Current State: 13:[68, 81], Operations: ['99/33=3', '27*3=81']
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[33, 68, 27, 99], Operations: []
Exploring Operation: 99-68=31, Resulting Numbers: [33, 27, 31]
Generated Node #0,0: 13:[33, 27, 31] Operation: 99-68=31
Exploring Operation: 99-33=66, Resulting Numbers: [68, 27, 66]
Generated Node #0,1: 13:[68, 27, 66] Operation: 99-33=66
Exploring Operation: 68-27=41, Resulting Numbers: [33, 99, 41]
Generated Node #0,2: 13:[33, 99, 41] Operation: 68-27=41
Exploring Operation: 68-33=35, Resulting Numbers: [27, 99, 35]
Generated Node #0,3: 13:[27, 99, 35] Operation: 68-33=35
Exploring Operation: 99/33=3, Resulting Numbers: [68, 27, 3]
Generated Node #0,4: 13:[68, 27, 3] Operation: 99/33=3
Moving to Node #0,0
Current State: 13:[33, 27, 31], Operations: ['99-68=31']
Exploring Operation: 33-27=6, Resulting Numbers: [31, 6]
Generated Node #0,0,0: 13:[31, 6] Operation: 33-27=6
Exploring Operation: 31-27=4, Resulting Numbers: [33, 4]
Generated Node #0,0,1: 13:[33, 4] Operation: 31-27=4
Exploring Operation: 33+27=60, Resulting Numbers: [31, 60]
Generated Node #0,0,2: 13:[31, 60] Operation: 33+27=60
Exploring Operation: 33-31=2, Resulting Numbers: [27, 2]
Generated Node #0,0,3: 13:[27, 2] Operation: 33-31=2
Exploring Operation: 33+31=64, Resulting Numbers: [27, 64]
Generated Node #0,0,4: 13:[27, 64] Operation: 33+31=64
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[31, 6], Operations: ['99-68=31', '33-27=6']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Exploring Operation: 31*6=186, Resulting Numbers: [186]
186,13 unequal: No Solution
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,13 unequal: No Solution
No 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: 13:[27, 2], Operations: ['99-68=31', '33-31=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,13 unequal: No Solution
No 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: 13:[33, 4], Operations: ['99-68=31', '31-27=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,13 unequal: No Solution
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,13 unequal: No Solution
No 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: 13:[31, 60], Operations: ['99-68=31', '33+27=60']
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 31+60=91, Resulting Numbers: [91]
91,13 unequal: No Solution
Exploring Operation: 31*60=1860, Resulting Numbers: [1860]
1860,13 unequal: No Solution
No 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: 13:[27, 64], Operations: ['99-68=31', '33+31=64']
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 27*64=1728, Resulting Numbers: [1728]
1728,13 unequal: No Solution
Exploring Operation: 27+64=91, Resulting Numbers: [91]
91,13 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: 13:[68, 27, 3], Operations: ['99/33=3']
Exploring Operation: 68-3=65, Resulting Numbers: [27, 65]
Generated Node #0,4,0: 13:[27, 65] Operation: 68-3=65
Exploring Operation: 27/3=9, Resulting Numbers: [68, 9]
Generated Node #0,4,1: 13:[68, 9] Operation: 27/3=9
Exploring Operation: 68-27=41, Resulting Numbers: [3, 41]
Generated Node #0,4,2: 13:[3, 41] Operation: 68-27=41
Exploring Operation: 27-3=24, Resulting Numbers: [68, 24]
Generated Node #0,4,3: 13:[68, 24] Operation: 27-3=24
Exploring Operation: 68+3=71, Resulting Numbers: [27, 71]
Generated Node #0,4,4: 13:[27, 71] Operation: 68+3=71
Moving to Node #0,1
Current State: 13:[68, 27, 66], Operations: ['99-33=66']
Exploring Operation: 68+66=134, Resulting Numbers: [27, 134]
Generated Node #0,1,0: 13:[27, 134] Operation: 68+66=134
Exploring Operation: 68+27=95, Resulting Numbers: [66, 95]
Generated Node #0,1,1: 13:[66, 95] Operation: 68+27=95
Exploring Operation: 66-27=39, Resulting Numbers: [68, 39]
Generated Node #0,1,2: 13:[68, 39] Operation: 66-27=39
Exploring Operation: 68-27=41, Resulting Numbers: [66, 41]
Generated Node #0,1,3: 13:[66, 41] Operation: 68-27=41
Exploring Operation: 68-66=2, Resulting Numbers: [27, 2]
Generated Node #0,1,4: 13:[27, 2] Operation: 68-66=2
Moving to Node #0,3
Current State: 13:[27, 99, 35], Operations: ['68-33=35']
Exploring Operation: 99-35=64, Resulting Numbers: [27, 64]
Generated Node #0,3,0: 13:[27, 64] Operation: 99-35=64
Exploring Operation: 99-27=72, Resulting Numbers: [35, 72]
Generated Node #0,3,1: 13:[35, 72] Operation: 99-27=72
Exploring Operation: 27+35=62, Resulting Numbers: [99, 62]
Generated Node #0,3,2: 13:[99, 62] Operation: 27+35=62
Exploring Operation: 35-27=8, Resulting Numbers: [99, 8]
Generated Node #0,3,3: 13:[99, 8] Operation: 35-27=8
Exploring Operation: 27+99=126, Resulting Numbers: [35, 126]
Generated Node #0,3,4: 13:[35, 126] Operation: 27+99=126
Moving to Node #0,2
Current State: 13:[33, 99, 41], Operations: ['68-27=41']
Exploring Operation: 99-41=58, Resulting Numbers: [33, 58]
Generated Node #0,2,0: 13:[33, 58] Operation: 99-41=58
Exploring Operation: 99/33=3, Resulting Numbers: [41, 3]
Generated Node #0,2,1: 13:[41, 3] Operation: 99/33=3
Exploring Operation: 99-33=66, Resulting Numbers: [41, 66]
Generated Node #0,2,2: 13:[41, 66] Operation: 99-33=66
Exploring Operation: 33+99=132, Resulting Numbers: [41, 132]
Generated Node #0,2,3: 13:[41, 132] Operation: 33+99=132
Exploring Operation: 41-33=8, Resulting Numbers: [99, 8]
Generated Node #0,2,4: 13:[99, 8] Operation: 41-33=8
Moving to Node #0,1,4
Current State: 13:[27, 2], Operations: ['99-33=66', '68-66=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,13 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Moving to Node #0,4,2
Current State: 13:[3, 41], Operations: ['99/33=3', '68-27=41']
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,13 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[41, 3], Operations: ['68-27=41', '99/33=3']
Exploring Operation: 41*3=123, Resulting Numbers: [123]
123,13 unequal: No Solution
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,13 unequal: No Solution
Moving to Node #0,4,1
Current State: 13:[68, 9], Operations: ['99/33=3', '27/3=9']
Exploring Operation: 68*9=612, Resulting Numbers: [612]
612,13 unequal: No Solution
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,13 unequal: No Solution
Exploring Operation: 68+9=77, Resulting Numbers: [77]
77,13 unequal: No Solution
Moving to Node #0,3,0
Current State: 13:[27, 64], Operations: ['68-33=35', '99-35=64']
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 27+64=91, Resulting Numbers: [91]
91,13 unequal: No Solution
Exploring Operation: 27*64=1728, Resulting Numbers: [1728]
1728,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[33, 58], Operations: ['68-27=41', '99-41=58']
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Exploring Operation: 33*58=1914, Resulting Numbers: [1914]
1914,13 unequal: No Solution
Exploring Operation: 33+58=91, Resulting Numbers: [91]
91,13 unequal: No Solution
Moving to Node #0,4,0
Current State: 13:[27, 65], Operations: ['99/33=3', '68-3=65']
Exploring Operation: 27*65=1755, Resulting Numbers: [1755]
1755,13 unequal: No Solution
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,13 unequal: No Solution
Exploring Operation: 27+65=92, Resulting Numbers: [92]
92,13 unequal: No Solution
Moving to Node #0,4,3
Current State: 13:[68, 24], Operations: ['99/33=3', '27-3=24']
Exploring Operation: 68*24=1632, Resulting Numbers: [1632]
1632,13 unequal: No Solution
Exploring Operation: 68+24=92, Resulting Numbers: [92]
92,13 unequal: No Solution
Exploring Operation: 68-24=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Moving to Node #0,4,4
Current State: 13:[27, 71], Operations: ['99/33=3', '68+3=71']
Exploring Operation: 27*71=1917, Resulting Numbers: [1917]
1917,13 unequal: No Solution
Exploring Operation: 27+71=98, Resulting Numbers: [98]
98,13 unequal: No Solution
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Moving to Node #0,1,2
Current State: 13:[68, 39], Operations: ['99-33=66', '66-27=39']
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,13 unequal: No Solution
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,13 unequal: No Solution
Moving to Node #0,3,1
Current State: 13:[35, 72], Operations: ['68-33=35', '99-27=72']
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 35*72=2520, Resulting Numbers: [2520]
2520,13 unequal: No Solution
Exploring Operation: 35+72=107, Resulting Numbers: [107]
107,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[41, 66], Operations: ['68-27=41', '99-33=66']
Exploring Operation: 41+66=107, Resulting Numbers: [107]
107,13 unequal: No Solution
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Exploring Operation: 41*66=2706, Resulting Numbers: [2706]
2706,13 unequal: No Solution
Moving to Node #0,1,3
Current State: 13:[66, 41], Operations: ['99-33=66', '68-27=41']
Exploring Operation: 66+41=107, Resulting Numbers: [107]
107,13 unequal: No Solution
Exploring Operation: 66*41=2706, Resulting Numbers: [2706]
2706,13 unequal: No Solution
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Moving to Node #0,2,4
Current State: 13:[99, 8], Operations: ['68-27=41', '41-33=8']
Exploring Operation: 99*8=792, Resulting Numbers: [792]
792,13 unequal: No Solution
Exploring Operation: 99+8=107, Resulting Numbers: [107]
107,13 unequal: No Solution
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,13 unequal: No Solution
Moving to Node #0,3,3
Current State: 13:[99, 8], Operations: ['68-33=35', '35-27=8']
Exploring Operation: 99+8=107, Resulting Numbers: [107]
107,13 unequal: No Solution
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,13 unequal: No Solution
Exploring Operation: 99*8=792, Resulting Numbers: [792]
792,13 unequal: No Solution
Moving to Node #0,3,2
Current State: 13:[99, 62], Operations: ['68-33=35', '27+35=62']
Exploring Operation: 99-62=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 99+62=161, Resulting Numbers: [161]
161,13 unequal: No Solution
Exploring Operation: 99*62=6138, Resulting Numbers: [6138]
6138,13 unequal: No Solution
Moving to Node #0,1,0
Current State: 13:[27, 134], Operations: ['99-33=66', '68+66=134']
Exploring Operation: 27+134=161, Resulting Numbers: [161]
161,13 unequal: No Solution
Exploring Operation: 27*134=3618, Resulting Numbers: [3618]
3618,13 unequal: No Solution
Exploring Operation: 134-27=107, Resulting Numbers: [107]
107,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[66, 95], Operations: ['99-33=66', '68+27=95']
Exploring Operation: 95-66=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 66*95=6270, Resulting Numbers: [6270]
6270,13 unequal: No Solution
Exploring Operation: 66+95=161, Resulting Numbers: [161]
161,13 unequal: No Solution
Moving to Node #0,3,4
Current State: 13:[35, 126], Operations: ['68-33=35', '27+99=126']
Exploring Operation: 35*126=4410, Resulting Numbers: [4410]
4410,13 unequal: No Solution
Exploring Operation: 126-35=91, Resulting Numbers: [91]
91,13 unequal: No Solution
Exploring Operation: 35+126=161, Resulting Numbers: [161]
161,13 unequal: No Solution
Moving to Node #0,2,3
Current State: 13:[41, 132], Operations: ['68-27=41', '33+99=132']
Exploring Operation: 132-41=91, Resulting Numbers: [91]
91,13 unequal: No Solution
Exploring Operation: 41+132=173, Resulting Numbers: [173]
173,13 unequal: No Solution
Exploring Operation: 41*132=5412, Resulting Numbers: [5412]
5412,13 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
69,
84,
67,
10
] | 32 | [
"69-67=2",
"84/2=42",
"42-10=32"
] | Current State: 32:[69, 84, 67, 10], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [84, 10, 2]
Generated Node #2: [84, 10, 2] from Operation: 69-67=2
Current State: 32:[84, 10, 2], Operations: ['69-67=2']
Exploring Operation: 84/2=42, Resulting Numbers: [10, 42]
Generated Node #3: [10, 42] from Operation: 84/2=42
Current State: 32:[10, 42], Operations: ['69-67=2', '84/2=42']
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[69, 84, 67, 10], Operations: []
Exploring Operation: 84-69=15, Resulting Numbers: [67, 10, 15]
Generated Node #0,0: 32:[67, 10, 15] Operation: 84-69=15
Exploring Operation: 84-67=17, Resulting Numbers: [69, 10, 17]
Generated Node #0,1: 32:[69, 10, 17] Operation: 84-67=17
Exploring Operation: 69-67=2, Resulting Numbers: [84, 10, 2]
Generated Node #0,2: 32:[84, 10, 2] Operation: 69-67=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[67, 10, 15], Operations: ['84-69=15']
Exploring Operation: 67-10=57, Resulting Numbers: [15, 57]
Generated Node #0,0,0: 32:[15, 57] Operation: 67-10=57
Exploring Operation: 15-10=5, Resulting Numbers: [67, 5]
Generated Node #0,0,1: 32:[67, 5] Operation: 15-10=5
Exploring Operation: 67-15=52, Resulting Numbers: [10, 52]
Generated Node #0,0,2: 32:[10, 52] Operation: 67-15=52
Moving to Node #0,0,2
Current State: 32:[10, 52], Operations: ['84-69=15', '67-15=52']
Exploring Operation: 10*52=520, Resulting Numbers: [520]
520,32 unequal: No Solution
Exploring Operation: 10+52=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[15, 57], Operations: ['84-69=15', '67-10=57']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,32 unequal: No Solution
Exploring Operation: 15+57=72, Resulting Numbers: [72]
72,32 unequal: No Solution
Exploring Operation: 15*57=855, Resulting Numbers: [855]
855,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[67, 5], Operations: ['84-69=15', '15-10=5']
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,32 unequal: No Solution
Exploring Operation: 67*5=335, Resulting Numbers: [335]
335,32 unequal: No Solution
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[69, 10, 17], Operations: ['84-67=17']
Exploring Operation: 69-10=59, Resulting Numbers: [17, 59]
Generated Node #0,1,0: 32:[17, 59] Operation: 69-10=59
Exploring Operation: 17-10=7, Resulting Numbers: [69, 7]
Generated Node #0,1,1: 32:[69, 7] Operation: 17-10=7
Exploring Operation: 69-17=52, Resulting Numbers: [10, 52]
Generated Node #0,1,2: 32:[10, 52] Operation: 69-17=52
Moving to Node #0,1,2
Current State: 32:[10, 52], Operations: ['84-67=17', '69-17=52']
Exploring Operation: 10+52=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,32 unequal: No Solution
Exploring Operation: 10*52=520, Resulting Numbers: [520]
520,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[17, 59], Operations: ['84-67=17', '69-10=59']
Exploring Operation: 17+59=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Exploring Operation: 59-17=42, Resulting Numbers: [42]
42,32 unequal: No Solution
Exploring Operation: 17*59=1003, Resulting Numbers: [1003]
1003,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[69, 7], Operations: ['84-67=17', '17-10=7']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 69*7=483, Resulting Numbers: [483]
483,32 unequal: No Solution
Exploring Operation: 69+7=76, Resulting Numbers: [76]
76,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 32:[84, 10, 2], Operations: ['69-67=2']
Exploring Operation: 84-10=74, Resulting Numbers: [2, 74]
Generated Node #0,2,0: 32:[2, 74] Operation: 84-10=74
Exploring Operation: 84-2=82, Resulting Numbers: [10, 82]
Generated Node #0,2,1: 32:[10, 82] Operation: 84-2=82
Exploring Operation: 84/2=42, Resulting Numbers: [10, 42]
Generated Node #0,2,2: 32:[10, 42] Operation: 84/2=42
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 32:[10, 42], Operations: ['69-67=2', '84/2=42']
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[69, 84, 67, 10], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [84, 10, 2]
Generated Node #0,2: 32:[84, 10, 2] Operation: 69-67=2
Moving to Node #0,2
Current State: 32:[84, 10, 2], Operations: ['69-67=2']
Exploring Operation: 84/2=42, Resulting Numbers: [10, 42]
Generated Node #0,2,2: 32:[10, 42] Operation: 84/2=42
Moving to Node #0,2,2
Current State: 32:[10, 42], Operations: ['69-67=2', '84/2=42']
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_3 | mult_heuristic |
[
77,
13,
57,
64
] | 83 | [
"77+13=90",
"64-57=7",
"90-7=83"
] | Current State: 83:[77, 13, 57, 64], Operations: []
Exploring Operation: 77+13=90, Resulting Numbers: [57, 64, 90]
Generated Node #2: [57, 64, 90] from Operation: 77+13=90
Current State: 83:[57, 64, 90], Operations: ['77+13=90']
Exploring Operation: 64-57=7, Resulting Numbers: [90, 7]
Generated Node #3: [90, 7] from Operation: 64-57=7
Current State: 83:[90, 7], Operations: ['77+13=90', '64-57=7']
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[77, 13, 57, 64], Operations: []
Exploring Operation: 77+13=90, Resulting Numbers: [57, 64, 90]
Generated Node #0,0: 83:[57, 64, 90] Operation: 77+13=90
Exploring Operation: 77-13=64, Resulting Numbers: [57, 64, 64]
Generated Node #0,1: 83:[57, 64, 64] Operation: 77-13=64
Exploring Operation: 13+64=77, Resulting Numbers: [77, 57, 77]
Generated Node #0,2: 83:[77, 57, 77] Operation: 13+64=77
Exploring Operation: 13+57=70, Resulting Numbers: [77, 64, 70]
Generated Node #0,3: 83:[77, 64, 70] Operation: 13+57=70
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[77, 57, 77], Operations: ['13+64=77']
Exploring Operation: 77-57=20, Resulting Numbers: [77, 20]
Generated Node #0,2,0: 83:[77, 20] Operation: 77-57=20
Exploring Operation: 57+77=134, Resulting Numbers: [77, 134]
Generated Node #0,2,1: 83:[77, 134] Operation: 57+77=134
Exploring Operation: 77+57=134, Resulting Numbers: [77, 134]
Generated Node #0,2,2: 83:[77, 134] Operation: 77+57=134
Exploring Operation: 77-57=20, Resulting Numbers: [77, 20]
Generated Node #0,2,3: 83:[77, 20] Operation: 77-57=20
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 83:[77, 134], Operations: ['13+64=77', '57+77=134']
Exploring Operation: 77+134=211, Resulting Numbers: [211]
211,83 unequal: No Solution
Exploring Operation: 134-77=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 77*134=10318, Resulting Numbers: [10318]
10318,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 83:[77, 134], Operations: ['13+64=77', '77+57=134']
Exploring Operation: 134-77=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 77+134=211, Resulting Numbers: [211]
211,83 unequal: No Solution
Exploring Operation: 77*134=10318, Resulting Numbers: [10318]
10318,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[77, 20], Operations: ['13+64=77', '77-57=20']
Exploring Operation: 77*20=1540, Resulting Numbers: [1540]
1540,83 unequal: No Solution
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,83 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 83:[77, 20], Operations: ['13+64=77', '77-57=20']
Exploring Operation: 77*20=1540, Resulting Numbers: [1540]
1540,83 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[77, 64, 70], Operations: ['13+57=70']
Exploring Operation: 64+70=134, Resulting Numbers: [77, 134]
Generated Node #0,3,0: 83:[77, 134] Operation: 64+70=134
Exploring Operation: 77+64=141, Resulting Numbers: [70, 141]
Generated Node #0,3,1: 83:[70, 141] Operation: 77+64=141
Exploring Operation: 77+70=147, Resulting Numbers: [64, 147]
Generated Node #0,3,2: 83:[64, 147] Operation: 77+70=147
Exploring Operation: 77-64=13, Resulting Numbers: [70, 13]
Generated Node #0,3,3: 83:[70, 13] Operation: 77-64=13
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 83:[77, 134], Operations: ['13+57=70', '64+70=134']
Exploring Operation: 134-77=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 77*134=10318, Resulting Numbers: [10318]
10318,83 unequal: No Solution
Exploring Operation: 77+134=211, Resulting Numbers: [211]
211,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 83:[70, 141], Operations: ['13+57=70', '77+64=141']
Exploring Operation: 70+141=211, Resulting Numbers: [211]
211,83 unequal: No Solution
Exploring Operation: 70*141=9870, Resulting Numbers: [9870]
9870,83 unequal: No Solution
Exploring Operation: 141-70=71, Resulting Numbers: [71]
71,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 83:[64, 147], Operations: ['13+57=70', '77+70=147']
Exploring Operation: 64*147=9408, Resulting Numbers: [9408]
9408,83 unequal: No Solution
Exploring Operation: 64+147=211, Resulting Numbers: [211]
211,83 unequal: No Solution
Exploring Operation: 147-64=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[77, 13, 57, 64], Operations: []
Exploring Operation: 13+57=70, Resulting Numbers: [77, 64, 70]
Generated Node #0,3: 83:[77, 64, 70] Operation: 13+57=70
Moving to Node #0,3
Current State: 83:[77, 64, 70], Operations: ['13+57=70']
Exploring Operation: 77+70=147, Resulting Numbers: [64, 147]
Generated Node #0,3,2: 83:[64, 147] Operation: 77+70=147
Moving to Node #0,3,2
Current State: 83:[64, 147], Operations: ['13+57=70', '77+70=147']
Exploring Operation: 147-64=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_4 | mult_heuristic |
[
12,
6,
24,
57
] | 73 | [
"12+57=69",
"24/6=4",
"69+4=73"
] | Current State: 73:[12, 6, 24, 57], Operations: []
Exploring Operation: 12+57=69, Resulting Numbers: [6, 24, 69]
Generated Node #2: [6, 24, 69] from Operation: 12+57=69
Current State: 73:[6, 24, 69], Operations: ['12+57=69']
Exploring Operation: 24/6=4, Resulting Numbers: [69, 4]
Generated Node #3: [69, 4] from Operation: 24/6=4
Current State: 73:[69, 4], Operations: ['12+57=69', '24/6=4']
Exploring Operation: 69+4=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[12, 6, 24, 57], Operations: []
Exploring Operation: 12*6=72, Resulting Numbers: [24, 57, 72]
Generated Node #0,0: 73:[24, 57, 72] Operation: 12*6=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[24, 57, 72], Operations: ['12*6=72']
Exploring Operation: 24+57=81, Resulting Numbers: [72, 81]
Generated Node #0,0,0: 73:[72, 81] Operation: 24+57=81
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[72, 81], Operations: ['12*6=72', '24+57=81']
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
5,
27,
46,
42
] | 49 | [
"42-27=15",
"15/5=3",
"46+3=49"
] | Current State: 49:[5, 27, 46, 42], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [5, 46, 15]
Generated Node #2: [5, 46, 15] from Operation: 42-27=15
Current State: 49:[5, 46, 15], Operations: ['42-27=15']
Exploring Operation: 15/5=3, Resulting Numbers: [46, 3]
Generated Node #3: [46, 3] from Operation: 15/5=3
Current State: 49:[46, 3], Operations: ['42-27=15', '15/5=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[5, 27, 46, 42], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [5, 46, 15]
Generated Node #0,0: 49:[5, 46, 15] Operation: 42-27=15
Exploring Operation: 27-5=22, Resulting Numbers: [46, 42, 22]
Generated Node #0,1: 49:[46, 42, 22] Operation: 27-5=22
Exploring Operation: 46-27=19, Resulting Numbers: [5, 42, 19]
Generated Node #0,2: 49:[5, 42, 19] Operation: 46-27=19
Exploring Operation: 27+42=69, Resulting Numbers: [5, 46, 69]
Generated Node #0,3: 49:[5, 46, 69] Operation: 27+42=69
Exploring Operation: 5+42=47, Resulting Numbers: [27, 46, 47]
Generated Node #0,4: 49:[27, 46, 47] Operation: 5+42=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[5, 46, 15], Operations: ['42-27=15']
Exploring Operation: 46-5=41, Resulting Numbers: [15, 41]
Generated Node #0,0,0: 49:[15, 41] Operation: 46-5=41
Exploring Operation: 46+15=61, Resulting Numbers: [5, 61]
Generated Node #0,0,1: 49:[5, 61] Operation: 46+15=61
Exploring Operation: 15/5=3, Resulting Numbers: [46, 3]
Generated Node #0,0,2: 49:[46, 3] Operation: 15/5=3
Exploring Operation: 15-5=10, Resulting Numbers: [46, 10]
Generated Node #0,0,3: 49:[46, 10] Operation: 15-5=10
Exploring Operation: 5+46=51, Resulting Numbers: [15, 51]
Generated Node #0,0,4: 49:[15, 51] Operation: 5+46=51
Moving to Node #0,0,3
Current State: 49:[46, 10], Operations: ['42-27=15', '15-5=10']
Exploring Operation: 46+10=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Exploring Operation: 46*10=460, Resulting Numbers: [460]
460,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[46, 3], Operations: ['42-27=15', '15/5=3']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,49 unequal: No Solution
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[5, 27, 46, 42], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [5, 46, 15]
Generated Node #0,0: 49:[5, 46, 15] Operation: 42-27=15
Moving to Node #0,0
Current State: 49:[5, 46, 15], Operations: ['42-27=15']
Exploring Operation: 15/5=3, Resulting Numbers: [46, 3]
Generated Node #0,0,2: 49:[46, 3] Operation: 15/5=3
Moving to Node #0,0,2
Current State: 49:[46, 3], Operations: ['42-27=15', '15/5=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
55,
49,
78,
88
] | 94 | [
"55+49=104",
"88-78=10",
"104-10=94"
] | Current State: 94:[55, 49, 78, 88], Operations: []
Exploring Operation: 55+49=104, Resulting Numbers: [78, 88, 104]
Generated Node #2: [78, 88, 104] from Operation: 55+49=104
Current State: 94:[78, 88, 104], Operations: ['55+49=104']
Exploring Operation: 88-78=10, Resulting Numbers: [104, 10]
Generated Node #3: [104, 10] from Operation: 88-78=10
Current State: 94:[104, 10], Operations: ['55+49=104', '88-78=10']
Exploring Operation: 104-10=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[55, 49, 78, 88], Operations: []
Exploring Operation: 55+49=104, Resulting Numbers: [78, 88, 104]
Generated Node #0,0: 94:[78, 88, 104] Operation: 55+49=104
Exploring Operation: 88-78=10, Resulting Numbers: [55, 49, 10]
Generated Node #0,1: 94:[55, 49, 10] Operation: 88-78=10
Exploring Operation: 78-55=23, Resulting Numbers: [49, 88, 23]
Generated Node #0,2: 94:[49, 88, 23] Operation: 78-55=23
Exploring Operation: 55-49=6, Resulting Numbers: [78, 88, 6]
Generated Node #0,3: 94:[78, 88, 6] Operation: 55-49=6
Exploring Operation: 88-55=33, Resulting Numbers: [49, 78, 33]
Generated Node #0,4: 94:[49, 78, 33] Operation: 88-55=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[55, 49, 10], Operations: ['88-78=10']
Exploring Operation: 55-10=45, Resulting Numbers: [49, 45]
Generated Node #0,1,0: 94:[49, 45] Operation: 55-10=45
Exploring Operation: 49-10=39, Resulting Numbers: [55, 39]
Generated Node #0,1,1: 94:[55, 39] Operation: 49-10=39
Exploring Operation: 55+49=104, Resulting Numbers: [10, 104]
Generated Node #0,1,2: 94:[10, 104] Operation: 55+49=104
Exploring Operation: 55-49=6, Resulting Numbers: [10, 6]
Generated Node #0,1,3: 94:[10, 6] Operation: 55-49=6
Exploring Operation: 55+10=65, Resulting Numbers: [49, 65]
Generated Node #0,1,4: 94:[49, 65] Operation: 55+10=65
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[49, 45], Operations: ['88-78=10', '55-10=45']
Exploring Operation: 49*45=2205, Resulting Numbers: [2205]
2205,94 unequal: No Solution
Exploring Operation: 49-45=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Exploring Operation: 49+45=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[55, 49, 78, 88], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [55, 49, 10]
Generated Node #0,1: 94:[55, 49, 10] Operation: 88-78=10
Moving to Node #0,1
Current State: 94:[55, 49, 10], Operations: ['88-78=10']
Exploring Operation: 55-10=45, Resulting Numbers: [49, 45]
Generated Node #0,1,0: 94:[49, 45] Operation: 55-10=45
Moving to Node #0,1,0
Current State: 94:[49, 45], Operations: ['88-78=10', '55-10=45']
Exploring Operation: 49+45=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
48,
28,
8,
84
] | 53 | [
"48+8=56",
"84/28=3",
"56-3=53"
] | Current State: 53:[48, 28, 8, 84], Operations: []
Exploring Operation: 48+8=56, Resulting Numbers: [28, 84, 56]
Generated Node #2: [28, 84, 56] from Operation: 48+8=56
Current State: 53:[28, 84, 56], Operations: ['48+8=56']
Exploring Operation: 84/28=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 84/28=3
Current State: 53:[56, 3], Operations: ['48+8=56', '84/28=3']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[48, 28, 8, 84], Operations: []
Exploring Operation: 28+8=36, Resulting Numbers: [48, 84, 36]
Generated Node #0,0: 53:[48, 84, 36] Operation: 28+8=36
Moving to Node #0,0
Current State: 53:[48, 84, 36], Operations: ['28+8=36']
Exploring Operation: 84-36=48, Resulting Numbers: [48, 48]
Generated Node #0,0,0: 53:[48, 48] Operation: 84-36=48
Moving to Node #0,0,0
Current State: 53:[48, 48], Operations: ['28+8=36', '84-36=48']
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,53 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
56,
82,
18,
42
] | 78 | [
"56+82=138",
"18+42=60",
"138-60=78"
] | Current State: 78:[56, 82, 18, 42], Operations: []
Exploring Operation: 56+82=138, Resulting Numbers: [18, 42, 138]
Generated Node #2: [18, 42, 138] from Operation: 56+82=138
Current State: 78:[18, 42, 138], Operations: ['56+82=138']
Exploring Operation: 18+42=60, Resulting Numbers: [138, 60]
Generated Node #3: [138, 60] from Operation: 18+42=60
Current State: 78:[138, 60], Operations: ['56+82=138', '18+42=60']
Exploring Operation: 138-60=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[56, 82, 18, 42], Operations: []
Exploring Operation: 82-42=40, Resulting Numbers: [56, 18, 40]
Generated Node #0,0: 78:[56, 18, 40] Operation: 82-42=40
Exploring Operation: 56-42=14, Resulting Numbers: [82, 18, 14]
Generated Node #0,1: 78:[82, 18, 14] Operation: 56-42=14
Exploring Operation: 56+18=74, Resulting Numbers: [82, 42, 74]
Generated Node #0,2: 78:[82, 42, 74] Operation: 56+18=74
Exploring Operation: 56-18=38, Resulting Numbers: [82, 42, 38]
Generated Node #0,3: 78:[82, 42, 38] Operation: 56-18=38
Exploring Operation: 82-56=26, Resulting Numbers: [18, 42, 26]
Generated Node #0,4: 78:[18, 42, 26] Operation: 82-56=26
Start Sub Search at level 1: Moving to Node #0,3
Current State: 78:[82, 42, 38], Operations: ['56-18=38']
Exploring Operation: 82+38=120, Resulting Numbers: [42, 120]
Generated Node #0,3,0: 78:[42, 120] Operation: 82+38=120
Exploring Operation: 82-42=40, Resulting Numbers: [38, 40]
Generated Node #0,3,1: 78:[38, 40] Operation: 82-42=40
Exploring Operation: 42-38=4, Resulting Numbers: [82, 4]
Generated Node #0,3,2: 78:[82, 4] Operation: 42-38=4
Exploring Operation: 82-38=44, Resulting Numbers: [42, 44]
Generated Node #0,3,3: 78:[42, 44] Operation: 82-38=44
Exploring Operation: 42+38=80, Resulting Numbers: [82, 80]
Generated Node #0,3,4: 78:[82, 80] Operation: 42+38=80
Moving to Node #0,3,1
Current State: 78:[38, 40], Operations: ['56-18=38', '82-42=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[56, 82, 18, 42], Operations: []
Exploring Operation: 56-18=38, Resulting Numbers: [82, 42, 38]
Generated Node #0,3: 78:[82, 42, 38] Operation: 56-18=38
Moving to Node #0,3
Current State: 78:[82, 42, 38], Operations: ['56-18=38']
Exploring Operation: 82-42=40, Resulting Numbers: [38, 40]
Generated Node #0,3,1: 78:[38, 40] Operation: 82-42=40
Moving to Node #0,3,1
Current State: 78:[38, 40], Operations: ['56-18=38', '82-42=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
94,
22,
24,
17
] | 84 | [
"94-17=77",
"24*77=1848",
"1848/22=84"
] | Current State: 84:[94, 22, 24, 17], Operations: []
Exploring Operation: 94-17=77, Resulting Numbers: [22, 24, 77]
Generated Node #2: [22, 24, 77] from Operation: 94-17=77
Current State: 84:[22, 24, 77], Operations: ['94-17=77']
Exploring Operation: 24*77=1848, Resulting Numbers: [22, 1848]
Generated Node #3: [22, 1848] from Operation: 24*77=1848
Current State: 84:[22, 1848], Operations: ['94-17=77', '24*77=1848']
Exploring Operation: 1848/22=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[94, 22, 24, 17], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [94, 17, 2]
Generated Node #0,0: 84:[94, 17, 2] Operation: 24-22=2
Exploring Operation: 24+17=41, Resulting Numbers: [94, 22, 41]
Generated Node #0,1: 84:[94, 22, 41] Operation: 24+17=41
Exploring Operation: 94-17=77, Resulting Numbers: [22, 24, 77]
Generated Node #0,2: 84:[22, 24, 77] Operation: 94-17=77
Exploring Operation: 24-17=7, Resulting Numbers: [94, 22, 7]
Generated Node #0,3: 84:[94, 22, 7] Operation: 24-17=7
Exploring Operation: 22-17=5, Resulting Numbers: [94, 24, 5]
Generated Node #0,4: 84:[94, 24, 5] Operation: 22-17=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[22, 24, 77], Operations: ['94-17=77']
Exploring Operation: 22+24=46, Resulting Numbers: [77, 46]
Generated Node #0,2,0: 84:[77, 46] Operation: 22+24=46
Exploring Operation: 77-22=55, Resulting Numbers: [24, 55]
Generated Node #0,2,1: 84:[24, 55] Operation: 77-22=55
Exploring Operation: 22+77=99, Resulting Numbers: [24, 99]
Generated Node #0,2,2: 84:[24, 99] Operation: 22+77=99
Exploring Operation: 77-24=53, Resulting Numbers: [22, 53]
Generated Node #0,2,3: 84:[22, 53] Operation: 77-24=53
Exploring Operation: 24-22=2, Resulting Numbers: [77, 2]
Generated Node #0,2,4: 84:[77, 2] Operation: 24-22=2
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 84:[77, 2], Operations: ['94-17=77', '24-22=2']
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,84 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,84 unequal: No Solution
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,84 unequal: No Solution
No 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: 84:[77, 46], Operations: ['94-17=77', '22+24=46']
Exploring Operation: 77+46=123, Resulting Numbers: [123]
123,84 unequal: No Solution
Exploring Operation: 77-46=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 77*46=3542, Resulting Numbers: [3542]
3542,84 unequal: No Solution
No 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: 84:[22, 53], Operations: ['94-17=77', '77-24=53']
Exploring Operation: 22*53=1166, Resulting Numbers: [1166]
1166,84 unequal: No Solution
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,84 unequal: No Solution
No 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: 84:[24, 55], Operations: ['94-17=77', '77-22=55']
Exploring Operation: 24*55=1320, Resulting Numbers: [1320]
1320,84 unequal: No Solution
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 24+55=79, Resulting Numbers: [79]
79,84 unequal: No Solution
No 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: 84:[24, 99], Operations: ['94-17=77', '22+77=99']
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,84 unequal: No Solution
Exploring Operation: 24+99=123, Resulting Numbers: [123]
123,84 unequal: No Solution
Exploring Operation: 24*99=2376, Resulting Numbers: [2376]
2376,84 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: 84:[94, 22, 7], Operations: ['24-17=7']
Exploring Operation: 22-7=15, Resulting Numbers: [94, 15]
Generated Node #0,3,0: 84:[94, 15] Operation: 22-7=15
Exploring Operation: 94-22=72, Resulting Numbers: [7, 72]
Generated Node #0,3,1: 84:[7, 72] Operation: 94-22=72
Exploring Operation: 94+7=101, Resulting Numbers: [22, 101]
Generated Node #0,3,2: 84:[22, 101] Operation: 94+7=101
Exploring Operation: 94-7=87, Resulting Numbers: [22, 87]
Generated Node #0,3,3: 84:[22, 87] Operation: 94-7=87
Exploring Operation: 22+7=29, Resulting Numbers: [94, 29]
Generated Node #0,3,4: 84:[94, 29] Operation: 22+7=29
Moving to Node #0,3,3
Current State: 84:[22, 87], Operations: ['24-17=7', '94-7=87']
Exploring Operation: 22+87=109, Resulting Numbers: [109]
109,84 unequal: No Solution
Exploring Operation: 22*87=1914, Resulting Numbers: [1914]
1914,84 unequal: No Solution
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,84 unequal: No Solution
Moving to Node #0,3,4
Current State: 84:[94, 29], Operations: ['24-17=7', '22+7=29']
Exploring Operation: 94+29=123, Resulting Numbers: [123]
123,84 unequal: No Solution
Exploring Operation: 94*29=2726, Resulting Numbers: [2726]
2726,84 unequal: No Solution
Exploring Operation: 94-29=65, Resulting Numbers: [65]
65,84 unequal: No Solution
Moving to Node #0,3,0
Current State: 84:[94, 15], Operations: ['24-17=7', '22-7=15']
Exploring Operation: 94+15=109, Resulting Numbers: [109]
109,84 unequal: No Solution
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,84 unequal: No Solution
Exploring Operation: 94*15=1410, Resulting Numbers: [1410]
1410,84 unequal: No Solution
Moving to Node #0,3,1
Current State: 84:[7, 72], Operations: ['24-17=7', '94-22=72']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,84 unequal: No Solution
Exploring Operation: 7*72=504, Resulting Numbers: [504]
504,84 unequal: No Solution
Exploring Operation: 7+72=79, Resulting Numbers: [79]
79,84 unequal: No Solution
Moving to Node #0,3,2
Current State: 84:[22, 101], Operations: ['24-17=7', '94+7=101']
Exploring Operation: 22*101=2222, Resulting Numbers: [2222]
2222,84 unequal: No Solution
Exploring Operation: 101-22=79, Resulting Numbers: [79]
79,84 unequal: No Solution
Exploring Operation: 22+101=123, Resulting Numbers: [123]
123,84 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
Current State: 84:[94, 22, 41], Operations: ['24+17=41']
Exploring Operation: 41-22=19, Resulting Numbers: [94, 19]
Generated Node #0,1,0: 84:[94, 19] Operation: 41-22=19
Exploring Operation: 94-41=53, Resulting Numbers: [22, 53]
Generated Node #0,1,1: 84:[22, 53] Operation: 94-41=53
Exploring Operation: 94-22=72, Resulting Numbers: [41, 72]
Generated Node #0,1,2: 84:[41, 72] Operation: 94-22=72
Exploring Operation: 22+41=63, Resulting Numbers: [94, 63]
Generated Node #0,1,3: 84:[94, 63] Operation: 22+41=63
Exploring Operation: 94+22=116, Resulting Numbers: [41, 116]
Generated Node #0,1,4: 84:[41, 116] Operation: 94+22=116
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 84:[94, 19], Operations: ['24+17=41', '41-22=19']
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,84 unequal: No Solution
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,84 unequal: No Solution
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,84 unequal: No Solution
No 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: 84:[22, 53], Operations: ['24+17=41', '94-41=53']
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 22*53=1166, Resulting Numbers: [1166]
1166,84 unequal: No Solution
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,84 unequal: No Solution
No 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: 84:[41, 72], Operations: ['24+17=41', '94-22=72']
Exploring Operation: 41+72=113, Resulting Numbers: [113]
113,84 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 41*72=2952, Resulting Numbers: [2952]
2952,84 unequal: No Solution
No 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: 84:[94, 63], Operations: ['24+17=41', '22+41=63']
Exploring Operation: 94*63=5922, Resulting Numbers: [5922]
5922,84 unequal: No Solution
Exploring Operation: 94-63=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 94+63=157, Resulting Numbers: [157]
157,84 unequal: No Solution
No 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: 84:[41, 116], Operations: ['24+17=41', '94+22=116']
Exploring Operation: 116-41=75, Resulting Numbers: [75]
75,84 unequal: No Solution
Exploring Operation: 41+116=157, Resulting Numbers: [157]
157,84 unequal: No Solution
Exploring Operation: 41*116=4756, Resulting Numbers: [4756]
4756,84 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: 84:[94, 17, 2], Operations: ['24-22=2']
Exploring Operation: 17+2=19, Resulting Numbers: [94, 19]
Generated Node #0,0,0: 84:[94, 19] Operation: 17+2=19
Exploring Operation: 17-2=15, Resulting Numbers: [94, 15]
Generated Node #0,0,1: 84:[94, 15] Operation: 17-2=15
Exploring Operation: 94-17=77, Resulting Numbers: [2, 77]
Generated Node #0,0,2: 84:[2, 77] Operation: 94-17=77
Exploring Operation: 94/2=47, Resulting Numbers: [17, 47]
Generated Node #0,0,3: 84:[17, 47] Operation: 94/2=47
Exploring Operation: 94-2=92, Resulting Numbers: [17, 92]
Generated Node #0,0,4: 84:[17, 92] Operation: 94-2=92
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 84:[2, 77], Operations: ['24-22=2', '94-17=77']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,84 unequal: No Solution
Exploring Operation: 2*77=154, Resulting Numbers: [154]
154,84 unequal: No Solution
Exploring Operation: 2+77=79, Resulting Numbers: [79]
79,84 unequal: No Solution
No 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: 84:[17, 47], Operations: ['24-22=2', '94/2=47']
Exploring Operation: 17+47=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,84 unequal: No Solution
Exploring Operation: 17*47=799, Resulting Numbers: [799]
799,84 unequal: No Solution
No 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: 84:[94, 15], Operations: ['24-22=2', '17-2=15']
Exploring Operation: 94*15=1410, Resulting Numbers: [1410]
1410,84 unequal: No Solution
Exploring Operation: 94+15=109, Resulting Numbers: [109]
109,84 unequal: No Solution
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,84 unequal: No Solution
No 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: 84:[17, 92], Operations: ['24-22=2', '94-2=92']
Exploring Operation: 17+92=109, Resulting Numbers: [109]
109,84 unequal: No Solution
Exploring Operation: 17*92=1564, Resulting Numbers: [1564]
1564,84 unequal: No Solution
Exploring Operation: 92-17=75, Resulting Numbers: [75]
75,84 unequal: No Solution
No 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: 84:[94, 19], Operations: ['24-22=2', '17+2=19']
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,84 unequal: No Solution
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,84 unequal: No Solution
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,84 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: 84:[94, 24, 5], Operations: ['22-17=5']
Exploring Operation: 24-5=19, Resulting Numbers: [94, 19]
Generated Node #0,4,0: 84:[94, 19] Operation: 24-5=19
Exploring Operation: 94+5=99, Resulting Numbers: [24, 99]
Generated Node #0,4,1: 84:[24, 99] Operation: 94+5=99
Exploring Operation: 94-24=70, Resulting Numbers: [5, 70]
Generated Node #0,4,2: 84:[5, 70] Operation: 94-24=70
Exploring Operation: 94-5=89, Resulting Numbers: [24, 89]
Generated Node #0,4,3: 84:[24, 89] Operation: 94-5=89
Exploring Operation: 24+5=29, Resulting Numbers: [94, 29]
Generated Node #0,4,4: 84:[94, 29] Operation: 24+5=29
Moving to Node #0,4,3
Current State: 84:[24, 89], Operations: ['22-17=5', '94-5=89']
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,84 unequal: No Solution
Exploring Operation: 24*89=2136, Resulting Numbers: [2136]
2136,84 unequal: No Solution
Exploring Operation: 24+89=113, Resulting Numbers: [113]
113,84 unequal: No Solution
Moving to Node #0,4,4
Current State: 84:[94, 29], Operations: ['22-17=5', '24+5=29']
Exploring Operation: 94-29=65, Resulting Numbers: [65]
65,84 unequal: No Solution
Exploring Operation: 94+29=123, Resulting Numbers: [123]
123,84 unequal: No Solution
Exploring Operation: 94*29=2726, Resulting Numbers: [2726]
2726,84 unequal: No Solution
Moving to Node #0,4,0
Current State: 84:[94, 19], Operations: ['22-17=5', '24-5=19']
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,84 unequal: No Solution
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,84 unequal: No Solution
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,84 unequal: No Solution
Moving to Node #0,4,2
Current State: 84:[5, 70], Operations: ['22-17=5', '94-24=70']
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,84 unequal: No Solution
Exploring Operation: 5*70=350, Resulting Numbers: [350]
350,84 unequal: No Solution
Exploring Operation: 5+70=75, Resulting Numbers: [75]
75,84 unequal: No Solution
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Moving to Node #0,4,1
Current State: 84:[24, 99], Operations: ['22-17=5', '94+5=99']
Exploring Operation: 24+99=123, Resulting Numbers: [123]
123,84 unequal: No Solution
Exploring Operation: 24*99=2376, Resulting Numbers: [2376]
2376,84 unequal: No Solution
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,84 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 |
[
68,
23,
80,
80
] | 90 | [
"68+23=91",
"80/80=1",
"91-1=90"
] | Current State: 90:[68, 23, 80, 80], Operations: []
Exploring Operation: 68+23=91, Resulting Numbers: [80, 80, 91]
Generated Node #2: [80, 80, 91] from Operation: 68+23=91
Current State: 90:[80, 80, 91], Operations: ['68+23=91']
Exploring Operation: 80/80=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 80/80=1
Current State: 90:[91, 1], Operations: ['68+23=91', '80/80=1']
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[68, 23, 80, 80], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [23, 80, 12]
Generated Node #0,0: 90:[23, 80, 12] Operation: 80-68=12
Moving to Node #0,0
Current State: 90:[23, 80, 12], Operations: ['80-68=12']
Exploring Operation: 80+12=92, Resulting Numbers: [23, 92]
Generated Node #0,0,0: 90:[23, 92] Operation: 80+12=92
Moving to Node #0,0,0
Current State: 90:[23, 92], Operations: ['80-68=12', '80+12=92']
Exploring Operation: 92/23=4, Resulting Numbers: [4]
4,90 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
34,
32,
24,
65
] | 82 | [
"34-32=2",
"65-24=41",
"2*41=82"
] | Current State: 82:[34, 32, 24, 65], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [24, 65, 2]
Generated Node #2: [24, 65, 2] from Operation: 34-32=2
Current State: 82:[24, 65, 2], Operations: ['34-32=2']
Exploring Operation: 65-24=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 65-24=41
Current State: 82:[2, 41], Operations: ['34-32=2', '65-24=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[34, 32, 24, 65], Operations: []
Exploring Operation: 24+65=89, Resulting Numbers: [34, 32, 89]
Generated Node #0,0: 82:[34, 32, 89] Operation: 24+65=89
Exploring Operation: 65-24=41, Resulting Numbers: [34, 32, 41]
Generated Node #0,1: 82:[34, 32, 41] Operation: 65-24=41
Moving to Node #0,1
Current State: 82:[34, 32, 41], Operations: ['65-24=41']
Exploring Operation: 41-34=7, Resulting Numbers: [32, 7]
Generated Node #0,1,0: 82:[32, 7] Operation: 41-34=7
Exploring Operation: 34-32=2, Resulting Numbers: [41, 2]
Generated Node #0,1,1: 82:[41, 2] Operation: 34-32=2
Moving to Node #0,0
Current State: 82:[34, 32, 89], Operations: ['24+65=89']
Exploring Operation: 34-32=2, Resulting Numbers: [89, 2]
Generated Node #0,0,0: 82:[89, 2] Operation: 34-32=2
Exploring Operation: 34+32=66, Resulting Numbers: [89, 66]
Generated Node #0,0,1: 82:[89, 66] Operation: 34+32=66
Moving to Node #0,1,1
Current State: 82:[41, 2], Operations: ['65-24=41', '34-32=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[34, 32, 24, 65], Operations: []
Exploring Operation: 65-24=41, Resulting Numbers: [34, 32, 41]
Generated Node #0,1: 82:[34, 32, 41] Operation: 65-24=41
Moving to Node #0,1
Current State: 82:[34, 32, 41], Operations: ['65-24=41']
Exploring Operation: 34-32=2, Resulting Numbers: [41, 2]
Generated Node #0,1,1: 82:[41, 2] Operation: 34-32=2
Moving to Node #0,1,1
Current State: 82:[41, 2], Operations: ['65-24=41', '34-32=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
15,
30,
54,
1
] | 53 | [
"30/15=2",
"54+1=55",
"55-2=53"
] | Current State: 53:[15, 30, 54, 1], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [54, 1, 2]
Generated Node #2: [54, 1, 2] from Operation: 30/15=2
Current State: 53:[54, 1, 2], Operations: ['30/15=2']
Exploring Operation: 54+1=55, Resulting Numbers: [2, 55]
Generated Node #3: [2, 55] from Operation: 54+1=55
Current State: 53:[2, 55], Operations: ['30/15=2', '54+1=55']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[15, 30, 54, 1], Operations: []
Exploring Operation: 15+30=45, Resulting Numbers: [54, 1, 45]
Generated Node #0,0: 53:[54, 1, 45] Operation: 15+30=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[54, 1, 45], Operations: ['15+30=45']
Exploring Operation: 54-1=53, Resulting Numbers: [45, 53]
Generated Node #0,0,0: 53:[45, 53] Operation: 54-1=53
Moving to Node #0,0,0
Current State: 53:[45, 53], Operations: ['15+30=45', '54-1=53']
Exploring Operation: 45+53=98, Resulting Numbers: [98]
98,53 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 |
[
57,
97,
64,
65
] | 89 | [
"97-57=40",
"64+65=129",
"129-40=89"
] | Current State: 89:[57, 97, 64, 65], Operations: []
Exploring Operation: 97-57=40, Resulting Numbers: [64, 65, 40]
Generated Node #2: [64, 65, 40] from Operation: 97-57=40
Current State: 89:[64, 65, 40], Operations: ['97-57=40']
Exploring Operation: 64+65=129, Resulting Numbers: [40, 129]
Generated Node #3: [40, 129] from Operation: 64+65=129
Current State: 89:[40, 129], Operations: ['97-57=40', '64+65=129']
Exploring Operation: 129-40=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[57, 97, 64, 65], Operations: []
Exploring Operation: 57+64=121, Resulting Numbers: [97, 65, 121]
Generated Node #0,0: 89:[97, 65, 121] Operation: 57+64=121
Exploring Operation: 57+65=122, Resulting Numbers: [97, 64, 122]
Generated Node #0,1: 89:[97, 64, 122] Operation: 57+65=122
Moving to Node #0,0
Current State: 89:[97, 65, 121], Operations: ['57+64=121']
Exploring Operation: 121-65=56, Resulting Numbers: [97, 56]
Generated Node #0,0,0: 89:[97, 56] Operation: 121-65=56
Exploring Operation: 97-65=32, Resulting Numbers: [121, 32]
Generated Node #0,0,1: 89:[121, 32] Operation: 97-65=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[97, 56], Operations: ['57+64=121', '121-65=56']
Exploring Operation: 97+56=153, Resulting Numbers: [153]
153,89 unequal: No Solution
Exploring Operation: 97-56=41, Resulting Numbers: [41]
41,89 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:[121, 32], Operations: ['57+64=121', '97-65=32']
Exploring Operation: 121-32=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[57, 97, 64, 65], Operations: []
Exploring Operation: 57+64=121, Resulting Numbers: [97, 65, 121]
Generated Node #0,0: 89:[97, 65, 121] Operation: 57+64=121
Moving to Node #0,0
Current State: 89:[97, 65, 121], Operations: ['57+64=121']
Exploring Operation: 97-65=32, Resulting Numbers: [121, 32]
Generated Node #0,0,1: 89:[121, 32] Operation: 97-65=32
Moving to Node #0,0,1
Current State: 89:[121, 32], Operations: ['57+64=121', '97-65=32']
Exploring Operation: 121-32=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
78,
52,
49,
65
] | 51 | [
"78+52=130",
"130/65=2",
"49+2=51"
] | Current State: 51:[78, 52, 49, 65], Operations: []
Exploring Operation: 78+52=130, Resulting Numbers: [49, 65, 130]
Generated Node #2: [49, 65, 130] from Operation: 78+52=130
Current State: 51:[49, 65, 130], Operations: ['78+52=130']
Exploring Operation: 130/65=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 130/65=2
Current State: 51:[49, 2], Operations: ['78+52=130', '130/65=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[78, 52, 49, 65], Operations: []
Exploring Operation: 78-65=13, Resulting Numbers: [52, 49, 13]
Generated Node #0,0: 51:[52, 49, 13] Operation: 78-65=13
Exploring Operation: 78-49=29, Resulting Numbers: [52, 65, 29]
Generated Node #0,1: 51:[52, 65, 29] Operation: 78-49=29
Exploring Operation: 65-49=16, Resulting Numbers: [78, 52, 16]
Generated Node #0,2: 51:[78, 52, 16] Operation: 65-49=16
Exploring Operation: 78-52=26, Resulting Numbers: [49, 65, 26]
Generated Node #0,3: 51:[49, 65, 26] Operation: 78-52=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[52, 49, 13], Operations: ['78-65=13']
Exploring Operation: 49+13=62, Resulting Numbers: [52, 62]
Generated Node #0,0,0: 51:[52, 62] Operation: 49+13=62
Exploring Operation: 52/13=4, Resulting Numbers: [49, 4]
Generated Node #0,0,1: 51:[49, 4] Operation: 52/13=4
Exploring Operation: 52-13=39, Resulting Numbers: [49, 39]
Generated Node #0,0,2: 51:[49, 39] Operation: 52-13=39
Exploring Operation: 52-49=3, Resulting Numbers: [13, 3]
Generated Node #0,0,3: 51:[13, 3] Operation: 52-49=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[49, 4], Operations: ['78-65=13', '52/13=4']
Exploring Operation: 49*4=196, Resulting Numbers: [196]
196,51 unequal: No Solution
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,51 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 51:[13, 3], Operations: ['78-65=13', '52-49=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[52, 62], Operations: ['78-65=13', '49+13=62']
Exploring Operation: 52*62=3224, Resulting Numbers: [3224]
3224,51 unequal: No Solution
Exploring Operation: 62-52=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 52+62=114, Resulting Numbers: [114]
114,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 51:[49, 39], Operations: ['78-65=13', '52-13=39']
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 49+39=88, Resulting Numbers: [88]
88,51 unequal: No Solution
Exploring Operation: 49*39=1911, Resulting Numbers: [1911]
1911,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[49, 65, 26], Operations: ['78-52=26']
Exploring Operation: 65-49=16, Resulting Numbers: [26, 16]
Generated Node #0,3,0: 51:[26, 16] Operation: 65-49=16
Exploring Operation: 49+26=75, Resulting Numbers: [65, 75]
Generated Node #0,3,1: 51:[65, 75] Operation: 49+26=75
Exploring Operation: 65-26=39, Resulting Numbers: [49, 39]
Generated Node #0,3,2: 51:[49, 39] Operation: 65-26=39
Exploring Operation: 49-26=23, Resulting Numbers: [65, 23]
Generated Node #0,3,3: 51:[65, 23] Operation: 49-26=23
Moving to Node #0,3,0
Current State: 51:[26, 16], Operations: ['78-52=26', '65-49=16']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 26*16=416, Resulting Numbers: [416]
416,51 unequal: No Solution
Exploring Operation: 26+16=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Moving to Node #0,3,2
Current State: 51:[49, 39], Operations: ['78-52=26', '65-26=39']
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 49*39=1911, Resulting Numbers: [1911]
1911,51 unequal: No Solution
Exploring Operation: 49+39=88, Resulting Numbers: [88]
88,51 unequal: No Solution
Moving to Node #0,3,3
Current State: 51:[65, 23], Operations: ['78-52=26', '49-26=23']
Exploring Operation: 65*23=1495, Resulting Numbers: [1495]
1495,51 unequal: No Solution
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,51 unequal: No Solution
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Moving to Node #0,3,1
Current State: 51:[65, 75], Operations: ['78-52=26', '49+26=75']
Exploring Operation: 65+75=140, Resulting Numbers: [140]
140,51 unequal: No Solution
Exploring Operation: 75-65=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 65*75=4875, Resulting Numbers: [4875]
4875,51 unequal: No Solution
No 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: 51:[52, 65, 29], Operations: ['78-49=29']
Exploring Operation: 65-52=13, Resulting Numbers: [29, 13]
Generated Node #0,1,0: 51:[29, 13] Operation: 65-52=13
Exploring Operation: 65-29=36, Resulting Numbers: [52, 36]
Generated Node #0,1,1: 51:[52, 36] Operation: 65-29=36
Exploring Operation: 52+29=81, Resulting Numbers: [65, 81]
Generated Node #0,1,2: 51:[65, 81] Operation: 52+29=81
Exploring Operation: 52-29=23, Resulting Numbers: [65, 23]
Generated Node #0,1,3: 51:[65, 23] Operation: 52-29=23
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[29, 13], Operations: ['78-49=29', '65-52=13']
Exploring Operation: 29*13=377, Resulting Numbers: [377]
377,51 unequal: No Solution
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Exploring Operation: 29+13=42, Resulting Numbers: [42]
42,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[52, 36], Operations: ['78-49=29', '65-29=36']
Exploring Operation: 52-36=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Exploring Operation: 52*36=1872, Resulting Numbers: [1872]
1872,51 unequal: No Solution
Exploring Operation: 52+36=88, Resulting Numbers: [88]
88,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 51:[65, 23], Operations: ['78-49=29', '52-29=23']
Exploring Operation: 65*23=1495, Resulting Numbers: [1495]
1495,51 unequal: No Solution
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,51 unequal: No Solution
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 51:[65, 81], Operations: ['78-49=29', '52+29=81']
Exploring Operation: 65+81=146, Resulting Numbers: [146]
146,51 unequal: No Solution
Exploring Operation: 65*81=5265, Resulting Numbers: [5265]
5265,51 unequal: No Solution
Exploring Operation: 81-65=16, Resulting Numbers: [16]
16,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[78, 52, 16], Operations: ['65-49=16']
Exploring Operation: 78+16=94, Resulting Numbers: [52, 94]
Generated Node #0,2,0: 51:[52, 94] Operation: 78+16=94
Exploring Operation: 78-16=62, Resulting Numbers: [52, 62]
Generated Node #0,2,1: 51:[52, 62] Operation: 78-16=62
Exploring Operation: 52-16=36, Resulting Numbers: [78, 36]
Generated Node #0,2,2: 51:[78, 36] Operation: 52-16=36
Exploring Operation: 78-52=26, Resulting Numbers: [16, 26]
Generated Node #0,2,3: 51:[16, 26] Operation: 78-52=26
Moving to Node #0,2,3
Current State: 51:[16, 26], Operations: ['65-49=16', '78-52=26']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 16*26=416, Resulting Numbers: [416]
416,51 unequal: No Solution
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[52, 62], Operations: ['65-49=16', '78-16=62']
Exploring Operation: 52*62=3224, Resulting Numbers: [3224]
3224,51 unequal: No Solution
Exploring Operation: 52+62=114, Resulting Numbers: [114]
114,51 unequal: No Solution
Exploring Operation: 62-52=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[78, 36], Operations: ['65-49=16', '52-16=36']
Exploring Operation: 78*36=2808, Resulting Numbers: [2808]
2808,51 unequal: No Solution
Exploring Operation: 78-36=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 78+36=114, Resulting Numbers: [114]
114,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[52, 94], Operations: ['65-49=16', '78+16=94']
Exploring Operation: 52+94=146, Resulting Numbers: [146]
146,51 unequal: No Solution
Exploring Operation: 94-52=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 52*94=4888, Resulting Numbers: [4888]
4888,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
77,
22,
39,
1
] | 17 | [
"77-22=55",
"39-1=38",
"55-38=17"
] | Current State: 17:[77, 22, 39, 1], Operations: []
Exploring Operation: 77-22=55, Resulting Numbers: [39, 1, 55]
Generated Node #2: [39, 1, 55] from Operation: 77-22=55
Current State: 17:[39, 1, 55], Operations: ['77-22=55']
Exploring Operation: 39-1=38, Resulting Numbers: [55, 38]
Generated Node #3: [55, 38] from Operation: 39-1=38
Current State: 17:[55, 38], Operations: ['77-22=55', '39-1=38']
Exploring Operation: 55-38=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[77, 22, 39, 1], Operations: []
Exploring Operation: 39-22=17, Resulting Numbers: [77, 1, 17]
Generated Node #0,0: 17:[77, 1, 17] Operation: 39-22=17
Exploring Operation: 77-39=38, Resulting Numbers: [22, 1, 38]
Generated Node #0,1: 17:[22, 1, 38] Operation: 77-39=38
Exploring Operation: 77-22=55, Resulting Numbers: [39, 1, 55]
Generated Node #0,2: 17:[39, 1, 55] Operation: 77-22=55
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[22, 1, 38], Operations: ['77-39=38']
Exploring Operation: 38-1=37, Resulting Numbers: [22, 37]
Generated Node #0,1,0: 17:[22, 37] Operation: 38-1=37
Exploring Operation: 22-1=21, Resulting Numbers: [38, 21]
Generated Node #0,1,1: 17:[38, 21] Operation: 22-1=21
Exploring Operation: 38-22=16, Resulting Numbers: [1, 16]
Generated Node #0,1,2: 17:[1, 16] Operation: 38-22=16
Moving to Node #0,1,2
Current State: 17:[1, 16], Operations: ['77-39=38', '38-22=16']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[77, 22, 39, 1], Operations: []
Exploring Operation: 77-39=38, Resulting Numbers: [22, 1, 38]
Generated Node #0,1: 17:[22, 1, 38] Operation: 77-39=38
Moving to Node #0,1
Current State: 17:[22, 1, 38], Operations: ['77-39=38']
Exploring Operation: 38-22=16, Resulting Numbers: [1, 16]
Generated Node #0,1,2: 17:[1, 16] Operation: 38-22=16
Moving to Node #0,1,2
Current State: 17:[1, 16], Operations: ['77-39=38', '38-22=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
4,
65,
57,
73
] | 71 | [
"65-57=8",
"8/4=2",
"73-2=71"
] | Current State: 71:[4, 65, 57, 73], Operations: []
Exploring Operation: 65-57=8, Resulting Numbers: [4, 73, 8]
Generated Node #2: [4, 73, 8] from Operation: 65-57=8
Current State: 71:[4, 73, 8], Operations: ['65-57=8']
Exploring Operation: 8/4=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 8/4=2
Current State: 71:[73, 2], Operations: ['65-57=8', '8/4=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[4, 65, 57, 73], Operations: []
Exploring Operation: 4+65=69, Resulting Numbers: [57, 73, 69]
Generated Node #0,0: 71:[57, 73, 69] Operation: 4+65=69
Moving to Node #0,0
Current State: 71:[57, 73, 69], Operations: ['4+65=69']
Exploring Operation: 73-57=16, Resulting Numbers: [69, 16]
Generated Node #0,0,0: 71:[69, 16] Operation: 73-57=16
Moving to Node #0,0,0
Current State: 71:[69, 16], Operations: ['4+65=69', '73-57=16']
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,71 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
77,
69,
73,
6
] | 75 | [
"77-69=8",
"73-6=67",
"8+67=75"
] | Current State: 75:[77, 69, 73, 6], Operations: []
Exploring Operation: 77-69=8, Resulting Numbers: [73, 6, 8]
Generated Node #2: [73, 6, 8] from Operation: 77-69=8
Current State: 75:[73, 6, 8], Operations: ['77-69=8']
Exploring Operation: 73-6=67, Resulting Numbers: [8, 67]
Generated Node #3: [8, 67] from Operation: 73-6=67
Current State: 75:[8, 67], Operations: ['77-69=8', '73-6=67']
Exploring Operation: 8+67=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[77, 69, 73, 6], Operations: []
Exploring Operation: 77-69=8, Resulting Numbers: [73, 6, 8]
Generated Node #0,0: 75:[73, 6, 8] Operation: 77-69=8
Exploring Operation: 69+6=75, Resulting Numbers: [77, 73, 75]
Generated Node #0,1: 75:[77, 73, 75] Operation: 69+6=75
Exploring Operation: 73-69=4, Resulting Numbers: [77, 6, 4]
Generated Node #0,2: 75:[77, 6, 4] Operation: 73-69=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[77, 73, 75], Operations: ['69+6=75']
Exploring Operation: 77-75=2, Resulting Numbers: [73, 2]
Generated Node #0,1,0: 75:[73, 2] Operation: 77-75=2
Exploring Operation: 75-73=2, Resulting Numbers: [77, 2]
Generated Node #0,1,1: 75:[77, 2] Operation: 75-73=2
Exploring Operation: 77-73=4, Resulting Numbers: [75, 4]
Generated Node #0,1,2: 75:[75, 4] Operation: 77-73=4
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[75, 4], Operations: ['69+6=75', '77-73=4']
Exploring Operation: 75*4=300, Resulting Numbers: [300]
300,75 unequal: No Solution
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,75 unequal: No Solution
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,75 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 #0,1,0
Current State: 75:[73, 2], Operations: ['69+6=75', '77-75=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[77, 69, 73, 6], Operations: []
Exploring Operation: 69+6=75, Resulting Numbers: [77, 73, 75]
Generated Node #0,1: 75:[77, 73, 75] Operation: 69+6=75
Moving to Node #0,1
Current State: 75:[77, 73, 75], Operations: ['69+6=75']
Exploring Operation: 77-75=2, Resulting Numbers: [73, 2]
Generated Node #0,1,0: 75:[73, 2] Operation: 77-75=2
Moving to Node #0,1,0
Current State: 75:[73, 2], Operations: ['69+6=75', '77-75=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
88,
93,
23,
50
] | 65 | [
"93-88=5",
"23*5=115",
"115-50=65"
] | Current State: 65:[88, 93, 23, 50], Operations: []
Exploring Operation: 93-88=5, Resulting Numbers: [23, 50, 5]
Generated Node #2: [23, 50, 5] from Operation: 93-88=5
Current State: 65:[23, 50, 5], Operations: ['93-88=5']
Exploring Operation: 23*5=115, Resulting Numbers: [50, 115]
Generated Node #3: [50, 115] from Operation: 23*5=115
Current State: 65:[50, 115], Operations: ['93-88=5', '23*5=115']
Exploring Operation: 115-50=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[88, 93, 23, 50], Operations: []
Exploring Operation: 93-88=5, Resulting Numbers: [23, 50, 5]
Generated Node #0,0: 65:[23, 50, 5] Operation: 93-88=5
Exploring Operation: 88-23=65, Resulting Numbers: [93, 50, 65]
Generated Node #0,1: 65:[93, 50, 65] Operation: 88-23=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[23, 50, 5], Operations: ['93-88=5']
Exploring Operation: 23+50=73, Resulting Numbers: [5, 73]
Generated Node #0,0,0: 65:[5, 73] Operation: 23+50=73
Exploring Operation: 50/5=10, Resulting Numbers: [23, 10]
Generated Node #0,0,1: 65:[23, 10] Operation: 50/5=10
Moving to Node #0,0,0
Current State: 65:[5, 73], Operations: ['93-88=5', '23+50=73']
Exploring Operation: 5+73=78, Resulting Numbers: [78]
78,65 unequal: No Solution
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[23, 10], Operations: ['93-88=5', '50/5=10']
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,65 unequal: No Solution
No 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: 65:[93, 50, 65], Operations: ['88-23=65']
Exploring Operation: 93-50=43, Resulting Numbers: [65, 43]
Generated Node #0,1,0: 65:[65, 43] Operation: 93-50=43
Exploring Operation: 93-65=28, Resulting Numbers: [50, 28]
Generated Node #0,1,1: 65:[50, 28] Operation: 93-65=28
Moving to Node #0,1,0
Current State: 65:[65, 43], Operations: ['88-23=65', '93-50=43']
Exploring Operation: 65-43=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Exploring Operation: 65+43=108, Resulting Numbers: [108]
108,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[50, 28], Operations: ['88-23=65', '93-65=28']
Exploring Operation: 50+28=78, Resulting Numbers: [78]
78,65 unequal: No Solution
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
54,
63,
19,
29
] | 39 | [
"63-54=9",
"19+29=48",
"48-9=39"
] | Current State: 39:[54, 63, 19, 29], Operations: []
Exploring Operation: 63-54=9, Resulting Numbers: [19, 29, 9]
Generated Node #2: [19, 29, 9] from Operation: 63-54=9
Current State: 39:[19, 29, 9], Operations: ['63-54=9']
Exploring Operation: 19+29=48, Resulting Numbers: [9, 48]
Generated Node #3: [9, 48] from Operation: 19+29=48
Current State: 39:[9, 48], Operations: ['63-54=9', '19+29=48']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[54, 63, 19, 29], Operations: []
Exploring Operation: 63-54=9, Resulting Numbers: [19, 29, 9]
Generated Node #0,0: 39:[19, 29, 9] Operation: 63-54=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[19, 29, 9], Operations: ['63-54=9']
Exploring Operation: 29-19=10, Resulting Numbers: [9, 10]
Generated Node #0,0,0: 39:[9, 10] Operation: 29-19=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[9, 10], Operations: ['63-54=9', '29-19=10']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,39 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 |
[
18,
11,
30,
43
] | 36 | [
"11+30=41",
"43-41=2",
"18*2=36"
] | Current State: 36:[18, 11, 30, 43], Operations: []
Exploring Operation: 11+30=41, Resulting Numbers: [18, 43, 41]
Generated Node #2: [18, 43, 41] from Operation: 11+30=41
Current State: 36:[18, 43, 41], Operations: ['11+30=41']
Exploring Operation: 43-41=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 43-41=2
Current State: 36:[18, 2], Operations: ['11+30=41', '43-41=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[18, 11, 30, 43], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [11, 43, 12]
Generated Node #0,0: 36:[11, 43, 12] Operation: 30-18=12
Exploring Operation: 43-30=13, Resulting Numbers: [18, 11, 13]
Generated Node #0,1: 36:[18, 11, 13] Operation: 43-30=13
Exploring Operation: 30-11=19, Resulting Numbers: [18, 43, 19]
Generated Node #0,2: 36:[18, 43, 19] Operation: 30-11=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[18, 11, 13], Operations: ['43-30=13']
Exploring Operation: 18-13=5, Resulting Numbers: [11, 5]
Generated Node #0,1,0: 36:[11, 5] Operation: 18-13=5
Exploring Operation: 18-11=7, Resulting Numbers: [13, 7]
Generated Node #0,1,1: 36:[13, 7] Operation: 18-11=7
Exploring Operation: 13-11=2, Resulting Numbers: [18, 2]
Generated Node #0,1,2: 36:[18, 2] Operation: 13-11=2
Moving to Node #0,1,2
Current State: 36:[18, 2], Operations: ['43-30=13', '13-11=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[18, 11, 30, 43], Operations: []
Exploring Operation: 43-30=13, Resulting Numbers: [18, 11, 13]
Generated Node #0,1: 36:[18, 11, 13] Operation: 43-30=13
Moving to Node #0,1
Current State: 36:[18, 11, 13], Operations: ['43-30=13']
Exploring Operation: 13-11=2, Resulting Numbers: [18, 2]
Generated Node #0,1,2: 36:[18, 2] Operation: 13-11=2
Moving to Node #0,1,2
Current State: 36:[18, 2], Operations: ['43-30=13', '13-11=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
16,
43,
12,
10
] | 54 | [
"43-16=27",
"12-10=2",
"27*2=54"
] | Current State: 54:[16, 43, 12, 10], Operations: []
Exploring Operation: 43-16=27, Resulting Numbers: [12, 10, 27]
Generated Node #2: [12, 10, 27] from Operation: 43-16=27
Current State: 54:[12, 10, 27], Operations: ['43-16=27']
Exploring Operation: 12-10=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 12-10=2
Current State: 54:[27, 2], Operations: ['43-16=27', '12-10=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[16, 43, 12, 10], Operations: []
Exploring Operation: 43-16=27, Resulting Numbers: [12, 10, 27]
Generated Node #0,0: 54:[12, 10, 27] Operation: 43-16=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[12, 10, 27], Operations: ['43-16=27']
Exploring Operation: 12-10=2, Resulting Numbers: [27, 2]
Generated Node #0,0,0: 54:[27, 2] Operation: 12-10=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[27, 2], Operations: ['43-16=27', '12-10=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[16, 43, 12, 10], Operations: []
Exploring Operation: 43-16=27, Resulting Numbers: [12, 10, 27]
Generated Node #0,0: 54:[12, 10, 27] Operation: 43-16=27
Moving to Node #0,0
Current State: 54:[12, 10, 27], Operations: ['43-16=27']
Exploring Operation: 12-10=2, Resulting Numbers: [27, 2]
Generated Node #0,0,0: 54:[27, 2] Operation: 12-10=2
Moving to Node #0,0,0
Current State: 54:[27, 2], Operations: ['43-16=27', '12-10=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
51,
74,
92,
46
] | 97 | [
"74*92=6808",
"6808/46=148",
"148-51=97"
] | Current State: 97:[51, 74, 92, 46], Operations: []
Exploring Operation: 74*92=6808, Resulting Numbers: [51, 46, 6808]
Generated Node #2: [51, 46, 6808] from Operation: 74*92=6808
Current State: 97:[51, 46, 6808], Operations: ['74*92=6808']
Exploring Operation: 6808/46=148, Resulting Numbers: [51, 148]
Generated Node #3: [51, 148] from Operation: 6808/46=148
Current State: 97:[51, 148], Operations: ['74*92=6808', '6808/46=148']
Exploring Operation: 148-51=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[51, 74, 92, 46], Operations: []
Exploring Operation: 51+92=143, Resulting Numbers: [74, 46, 143]
Generated Node #0,0: 97:[74, 46, 143] Operation: 51+92=143
Exploring Operation: 92+46=138, Resulting Numbers: [51, 74, 138]
Generated Node #0,1: 97:[51, 74, 138] Operation: 92+46=138
Exploring Operation: 51+74=125, Resulting Numbers: [92, 46, 125]
Generated Node #0,2: 97:[92, 46, 125] Operation: 51+74=125
Exploring Operation: 74+46=120, Resulting Numbers: [51, 92, 120]
Generated Node #0,3: 97:[51, 92, 120] Operation: 74+46=120
Exploring Operation: 51+46=97, Resulting Numbers: [74, 92, 97]
Generated Node #0,4: 97:[74, 92, 97] Operation: 51+46=97
Moving to Node #0,4
Current State: 97:[74, 92, 97], Operations: ['51+46=97']
Exploring Operation: 97-74=23, Resulting Numbers: [92, 23]
Generated Node #0,4,0: 97:[92, 23] Operation: 97-74=23
Exploring Operation: 92-74=18, Resulting Numbers: [97, 18]
Generated Node #0,4,1: 97:[97, 18] Operation: 92-74=18
Exploring Operation: 74+92=166, Resulting Numbers: [97, 166]
Generated Node #0,4,2: 97:[97, 166] Operation: 74+92=166
Exploring Operation: 74+97=171, Resulting Numbers: [92, 171]
Generated Node #0,4,3: 97:[92, 171] Operation: 74+97=171
Exploring Operation: 92+97=189, Resulting Numbers: [74, 189]
Generated Node #0,4,4: 97:[74, 189] Operation: 92+97=189
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 97:[97, 166], Operations: ['51+46=97', '74+92=166']
Exploring Operation: 97+166=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Exploring Operation: 97*166=16102, Resulting Numbers: [16102]
16102,97 unequal: No Solution
Exploring Operation: 166-97=69, Resulting Numbers: [69]
69,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 97:[92, 23], Operations: ['51+46=97', '97-74=23']
Exploring Operation: 92-23=69, Resulting Numbers: [69]
69,97 unequal: No Solution
Exploring Operation: 92+23=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Exploring Operation: 92/23=4, Resulting Numbers: [4]
4,97 unequal: No Solution
Exploring Operation: 92*23=2116, Resulting Numbers: [2116]
2116,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 97:[97, 18], Operations: ['51+46=97', '92-74=18']
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 97*18=1746, Resulting Numbers: [1746]
1746,97 unequal: No Solution
Exploring Operation: 97+18=115, Resulting Numbers: [115]
115,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 97:[92, 171], Operations: ['51+46=97', '74+97=171']
Exploring Operation: 92+171=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Exploring Operation: 171-92=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 92*171=15732, Resulting Numbers: [15732]
15732,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 97:[74, 189], Operations: ['51+46=97', '92+97=189']
Exploring Operation: 74+189=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Exploring Operation: 189-74=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Exploring Operation: 74*189=13986, Resulting Numbers: [13986]
13986,97 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: 97:[51, 92, 120], Operations: ['74+46=120']
Exploring Operation: 92-51=41, Resulting Numbers: [120, 41]
Generated Node #0,3,0: 97:[120, 41] Operation: 92-51=41
Exploring Operation: 51+92=143, Resulting Numbers: [120, 143]
Generated Node #0,3,1: 97:[120, 143] Operation: 51+92=143
Exploring Operation: 120-51=69, Resulting Numbers: [92, 69]
Generated Node #0,3,2: 97:[92, 69] Operation: 120-51=69
Exploring Operation: 51+120=171, Resulting Numbers: [92, 171]
Generated Node #0,3,3: 97:[92, 171] Operation: 51+120=171
Exploring Operation: 120-92=28, Resulting Numbers: [51, 28]
Generated Node #0,3,4: 97:[51, 28] Operation: 120-92=28
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 97:[92, 69], Operations: ['74+46=120', '120-51=69']
Exploring Operation: 92*69=6348, Resulting Numbers: [6348]
6348,97 unequal: No Solution
Exploring Operation: 92+69=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Exploring Operation: 92-69=23, Resulting Numbers: [23]
23,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[120, 143], Operations: ['74+46=120', '51+92=143']
Exploring Operation: 120+143=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Exploring Operation: 120*143=17160, Resulting Numbers: [17160]
17160,97 unequal: No Solution
Exploring Operation: 143-120=23, Resulting Numbers: [23]
23,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[120, 41], Operations: ['74+46=120', '92-51=41']
Exploring Operation: 120*41=4920, Resulting Numbers: [4920]
4920,97 unequal: No Solution
Exploring Operation: 120+41=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Exploring Operation: 120-41=79, Resulting Numbers: [79]
79,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 97:[92, 171], Operations: ['74+46=120', '51+120=171']
Exploring Operation: 171-92=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 92+171=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Exploring Operation: 92*171=15732, Resulting Numbers: [15732]
15732,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 97:[51, 28], Operations: ['74+46=120', '120-92=28']
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Exploring Operation: 51+28=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 51*28=1428, Resulting Numbers: [1428]
1428,97 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: 97:[92, 46, 125], Operations: ['51+74=125']
Exploring Operation: 125-92=33, Resulting Numbers: [46, 33]
Generated Node #0,2,0: 97:[46, 33] Operation: 125-92=33
Exploring Operation: 92-46=46, Resulting Numbers: [125, 46]
Generated Node #0,2,1: 97:[125, 46] Operation: 92-46=46
Exploring Operation: 92+46=138, Resulting Numbers: [125, 138]
Generated Node #0,2,2: 97:[125, 138] Operation: 92+46=138
Exploring Operation: 125-46=79, Resulting Numbers: [92, 79]
Generated Node #0,2,3: 97:[92, 79] Operation: 125-46=79
Exploring Operation: 46+125=171, Resulting Numbers: [92, 171]
Generated Node #0,2,4: 97:[92, 171] Operation: 46+125=171
Moving to Node #0,1
Current State: 97:[51, 74, 138], Operations: ['92+46=138']
Exploring Operation: 138-51=87, Resulting Numbers: [74, 87]
Generated Node #0,1,0: 97:[74, 87] Operation: 138-51=87
Exploring Operation: 51+74=125, Resulting Numbers: [138, 125]
Generated Node #0,1,1: 97:[138, 125] Operation: 51+74=125
Exploring Operation: 51+138=189, Resulting Numbers: [74, 189]
Generated Node #0,1,2: 97:[74, 189] Operation: 51+138=189
Exploring Operation: 138-74=64, Resulting Numbers: [51, 64]
Generated Node #0,1,3: 97:[51, 64] Operation: 138-74=64
Exploring Operation: 74-51=23, Resulting Numbers: [138, 23]
Generated Node #0,1,4: 97:[138, 23] Operation: 74-51=23
Moving to Node #0,0
Current State: 97:[74, 46, 143], Operations: ['51+92=143']
Exploring Operation: 74-46=28, Resulting Numbers: [143, 28]
Generated Node #0,0,0: 97:[143, 28] Operation: 74-46=28
Exploring Operation: 143-46=97, Resulting Numbers: [74, 97]
Generated Node #0,0,1: 97:[74, 97] Operation: 143-46=97
Exploring Operation: 46+143=189, Resulting Numbers: [74, 189]
Generated Node #0,0,2: 97:[74, 189] Operation: 46+143=189
Exploring Operation: 74+46=120, Resulting Numbers: [143, 120]
Generated Node #0,0,3: 97:[143, 120] Operation: 74+46=120
Exploring Operation: 143-74=69, Resulting Numbers: [46, 69]
Generated Node #0,0,4: 97:[46, 69] Operation: 143-74=69
Moving to Node #0,2,3
Current State: 97:[92, 79], Operations: ['51+74=125', '125-46=79']
Exploring Operation: 92-79=13, Resulting Numbers: [13]
13,97 unequal: No Solution
Exploring Operation: 92*79=7268, Resulting Numbers: [7268]
7268,97 unequal: No Solution
Exploring Operation: 92+79=171, Resulting Numbers: [171]
171,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[74, 97], Operations: ['51+92=143', '143-46=97']
Exploring Operation: 74+97=171, Resulting Numbers: [171]
171,97 unequal: No Solution
Exploring Operation: 74*97=7178, Resulting Numbers: [7178]
7178,97 unequal: No Solution
Exploring Operation: 97-74=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[74, 87], Operations: ['92+46=138', '138-51=87']
Exploring Operation: 87-74=13, Resulting Numbers: [13]
13,97 unequal: No Solution
Exploring Operation: 74+87=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Exploring Operation: 74*87=6438, Resulting Numbers: [6438]
6438,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[138, 125], Operations: ['92+46=138', '51+74=125']
Exploring Operation: 138+125=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Exploring Operation: 138*125=17250, Resulting Numbers: [17250]
17250,97 unequal: No Solution
Exploring Operation: 138-125=13, Resulting Numbers: [13]
13,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[143, 120], Operations: ['51+92=143', '74+46=120']
Exploring Operation: 143+120=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Exploring Operation: 143-120=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Exploring Operation: 143*120=17160, Resulting Numbers: [17160]
17160,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[125, 138], Operations: ['51+74=125', '92+46=138']
Exploring Operation: 138-125=13, Resulting Numbers: [13]
13,97 unequal: No Solution
Exploring Operation: 125*138=17250, Resulting Numbers: [17250]
17250,97 unequal: No Solution
Exploring Operation: 125+138=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[125, 46], Operations: ['51+74=125', '92-46=46']
Exploring Operation: 125*46=5750, Resulting Numbers: [5750]
5750,97 unequal: No Solution
Exploring Operation: 125+46=171, Resulting Numbers: [171]
171,97 unequal: No Solution
Exploring Operation: 125-46=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Moving to Node #0,0,4
Current State: 97:[46, 69], Operations: ['51+92=143', '143-74=69']
Exploring Operation: 46*69=3174, Resulting Numbers: [3174]
3174,97 unequal: No Solution
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Exploring Operation: 46+69=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Moving to Node #0,2,4
Current State: 97:[92, 171], Operations: ['51+74=125', '46+125=171']
Exploring Operation: 92+171=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Exploring Operation: 92*171=15732, Resulting Numbers: [15732]
15732,97 unequal: No Solution
Exploring Operation: 171-92=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[51, 64], Operations: ['92+46=138', '138-74=64']
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,97 unequal: No Solution
Exploring Operation: 51*64=3264, Resulting Numbers: [3264]
3264,97 unequal: No Solution
Exploring Operation: 51+64=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[143, 28], Operations: ['51+92=143', '74-46=28']
Exploring Operation: 143-28=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Exploring Operation: 143*28=4004, Resulting Numbers: [4004]
4004,97 unequal: No Solution
Exploring Operation: 143+28=171, Resulting Numbers: [171]
171,97 unequal: No Solution
Moving to Node #0,1,4
Current State: 97:[138, 23], Operations: ['92+46=138', '74-51=23']
Exploring Operation: 138+23=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Exploring Operation: 138*23=3174, Resulting Numbers: [3174]
3174,97 unequal: No Solution
Exploring Operation: 138-23=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Exploring Operation: 138/23=6, Resulting Numbers: [6]
6,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[74, 189], Operations: ['92+46=138', '51+138=189']
Exploring Operation: 74*189=13986, Resulting Numbers: [13986]
13986,97 unequal: No Solution
Exploring Operation: 189-74=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Exploring Operation: 74+189=263, Resulting Numbers: [263]
263,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[46, 33], Operations: ['51+74=125', '125-92=33']
Exploring Operation: 46*33=1518, Resulting Numbers: [1518]
1518,97 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,97 unequal: No Solution
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[74, 189], Operations: ['51+92=143', '46+143=189']
Exploring Operation: 189-74=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Exploring Operation: 74*189=13986, Resulting Numbers: [13986]
13986,97 unequal: No Solution
Exploring Operation: 74+189=263, Resulting Numbers: [263]
263,97 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
47,
53,
82,
30
] | 48 | [
"47+53=100",
"82-30=52",
"100-52=48"
] | Current State: 48:[47, 53, 82, 30], Operations: []
Exploring Operation: 47+53=100, Resulting Numbers: [82, 30, 100]
Generated Node #2: [82, 30, 100] from Operation: 47+53=100
Current State: 48:[82, 30, 100], Operations: ['47+53=100']
Exploring Operation: 82-30=52, Resulting Numbers: [100, 52]
Generated Node #3: [100, 52] from Operation: 82-30=52
Current State: 48:[100, 52], Operations: ['47+53=100', '82-30=52']
Exploring Operation: 100-52=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[47, 53, 82, 30], Operations: []
Exploring Operation: 82-53=29, Resulting Numbers: [47, 30, 29]
Generated Node #0,0: 48:[47, 30, 29] Operation: 82-53=29
Exploring Operation: 82-30=52, Resulting Numbers: [47, 53, 52]
Generated Node #0,1: 48:[47, 53, 52] Operation: 82-30=52
Exploring Operation: 82-47=35, Resulting Numbers: [53, 30, 35]
Generated Node #0,2: 48:[53, 30, 35] Operation: 82-47=35
Moving to Node #0,1
Current State: 48:[47, 53, 52], Operations: ['82-30=52']
Exploring Operation: 53-52=1, Resulting Numbers: [47, 1]
Generated Node #0,1,0: 48:[47, 1] Operation: 53-52=1
Exploring Operation: 52-47=5, Resulting Numbers: [53, 5]
Generated Node #0,1,1: 48:[53, 5] Operation: 52-47=5
Exploring Operation: 53-47=6, Resulting Numbers: [52, 6]
Generated Node #0,1,2: 48:[52, 6] Operation: 53-47=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[47, 1], Operations: ['82-30=52', '53-52=1']
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[47, 53, 82, 30], Operations: []
Exploring Operation: 82-30=52, Resulting Numbers: [47, 53, 52]
Generated Node #0,1: 48:[47, 53, 52] Operation: 82-30=52
Moving to Node #0,1
Current State: 48:[47, 53, 52], Operations: ['82-30=52']
Exploring Operation: 53-52=1, Resulting Numbers: [47, 1]
Generated Node #0,1,0: 48:[47, 1] Operation: 53-52=1
Moving to Node #0,1,0
Current State: 48:[47, 1], Operations: ['82-30=52', '53-52=1']
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
78,
12,
7,
47
] | 41 | [
"78+47=125",
"12*7=84",
"125-84=41"
] | Current State: 41:[78, 12, 7, 47], Operations: []
Exploring Operation: 78+47=125, Resulting Numbers: [12, 7, 125]
Generated Node #2: [12, 7, 125] from Operation: 78+47=125
Current State: 41:[12, 7, 125], Operations: ['78+47=125']
Exploring Operation: 12*7=84, Resulting Numbers: [125, 84]
Generated Node #3: [125, 84] from Operation: 12*7=84
Current State: 41:[125, 84], Operations: ['78+47=125', '12*7=84']
Exploring Operation: 125-84=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[78, 12, 7, 47], Operations: []
Exploring Operation: 12+7=19, Resulting Numbers: [78, 47, 19]
Generated Node #0,0: 41:[78, 47, 19] Operation: 12+7=19
Exploring Operation: 78-7=71, Resulting Numbers: [12, 47, 71]
Generated Node #0,1: 41:[12, 47, 71] Operation: 78-7=71
Exploring Operation: 78-12=66, Resulting Numbers: [7, 47, 66]
Generated Node #0,2: 41:[7, 47, 66] Operation: 78-12=66
Moving to Node #0,0
Current State: 41:[78, 47, 19], Operations: ['12+7=19']
Exploring Operation: 47-19=28, Resulting Numbers: [78, 28]
Generated Node #0,0,0: 41:[78, 28] Operation: 47-19=28
Exploring Operation: 78-47=31, Resulting Numbers: [19, 31]
Generated Node #0,0,1: 41:[19, 31] Operation: 78-47=31
Exploring Operation: 78-19=59, Resulting Numbers: [47, 59]
Generated Node #0,0,2: 41:[47, 59] Operation: 78-19=59
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[47, 59], Operations: ['12+7=19', '78-19=59']
Exploring Operation: 47*59=2773, Resulting Numbers: [2773]
2773,41 unequal: No Solution
Exploring Operation: 59-47=12, Resulting Numbers: [12]
12,41 unequal: No Solution
Exploring Operation: 47+59=106, Resulting Numbers: [106]
106,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[19, 31], Operations: ['12+7=19', '78-47=31']
Exploring Operation: 19*31=589, Resulting Numbers: [589]
589,41 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,41 unequal: No Solution
Exploring Operation: 19+31=50, Resulting Numbers: [50]
50,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[78, 28], Operations: ['12+7=19', '47-19=28']
Exploring Operation: 78+28=106, Resulting Numbers: [106]
106,41 unequal: No Solution
Exploring Operation: 78*28=2184, Resulting Numbers: [2184]
2184,41 unequal: No Solution
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 41:[12, 47, 71], Operations: ['78-7=71']
Exploring Operation: 71-47=24, Resulting Numbers: [12, 24]
Generated Node #0,1,0: 41:[12, 24] Operation: 71-47=24
Exploring Operation: 71-12=59, Resulting Numbers: [47, 59]
Generated Node #0,1,1: 41:[47, 59] Operation: 71-12=59
Exploring Operation: 47-12=35, Resulting Numbers: [71, 35]
Generated Node #0,1,2: 41:[71, 35] Operation: 47-12=35
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[47, 59], Operations: ['78-7=71', '71-12=59']
Exploring Operation: 47*59=2773, Resulting Numbers: [2773]
2773,41 unequal: No Solution
Exploring Operation: 59-47=12, Resulting Numbers: [12]
12,41 unequal: No Solution
Exploring Operation: 47+59=106, Resulting Numbers: [106]
106,41 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 #0,1,2
Current State: 41:[71, 35], Operations: ['78-7=71', '47-12=35']
Exploring Operation: 71-35=36, Resulting Numbers: [36]
36,41 unequal: No Solution
Exploring Operation: 71*35=2485, Resulting Numbers: [2485]
2485,41 unequal: No Solution
Exploring Operation: 71+35=106, Resulting Numbers: [106]
106,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[12, 24], Operations: ['78-7=71', '71-47=24']
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,41 unequal: No Solution
Exploring Operation: 12+24=36, Resulting Numbers: [36]
36,41 unequal: No Solution
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,41 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: 41:[7, 47, 66], Operations: ['78-12=66']
Exploring Operation: 66-7=59, Resulting Numbers: [47, 59]
Generated Node #0,2,0: 41:[47, 59] Operation: 66-7=59
Exploring Operation: 7+47=54, Resulting Numbers: [66, 54]
Generated Node #0,2,1: 41:[66, 54] Operation: 7+47=54
Exploring Operation: 47-7=40, Resulting Numbers: [66, 40]
Generated Node #0,2,2: 41:[66, 40] Operation: 47-7=40
Moving to Node #0,2,0
Current State: 41:[47, 59], Operations: ['78-12=66', '66-7=59']
Exploring Operation: 59-47=12, Resulting Numbers: [12]
12,41 unequal: No Solution
Exploring Operation: 47+59=106, Resulting Numbers: [106]
106,41 unequal: No Solution
Exploring Operation: 47*59=2773, Resulting Numbers: [2773]
2773,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[66, 40], Operations: ['78-12=66', '47-7=40']
Exploring Operation: 66+40=106, Resulting Numbers: [106]
106,41 unequal: No Solution
Exploring Operation: 66*40=2640, Resulting Numbers: [2640]
2640,41 unequal: No Solution
Exploring Operation: 66-40=26, Resulting Numbers: [26]
26,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[66, 54], Operations: ['78-12=66', '7+47=54']
Exploring Operation: 66-54=12, Resulting Numbers: [12]
12,41 unequal: No Solution
Exploring Operation: 66+54=120, Resulting Numbers: [120]
120,41 unequal: No Solution
Exploring Operation: 66*54=3564, Resulting Numbers: [3564]
3564,41 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
54,
92,
38,
89
] | 88 | [
"92-54=38",
"38/38=1",
"89-1=88"
] | Current State: 88:[54, 92, 38, 89], Operations: []
Exploring Operation: 92-54=38, Resulting Numbers: [38, 89, 38]
Generated Node #2: [38, 89, 38] from Operation: 92-54=38
Current State: 88:[38, 89, 38], Operations: ['92-54=38']
Exploring Operation: 38/38=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 38/38=1
Current State: 88:[89, 1], Operations: ['92-54=38', '38/38=1']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[54, 92, 38, 89], Operations: []
Exploring Operation: 54-38=16, Resulting Numbers: [92, 89, 16]
Generated Node #0,0: 88:[92, 89, 16] Operation: 54-38=16
Exploring Operation: 92-89=3, Resulting Numbers: [54, 38, 3]
Generated Node #0,1: 88:[54, 38, 3] Operation: 92-89=3
Exploring Operation: 54+38=92, Resulting Numbers: [92, 89, 92]
Generated Node #0,2: 88:[92, 89, 92] Operation: 54+38=92
Exploring Operation: 89-54=35, Resulting Numbers: [92, 38, 35]
Generated Node #0,3: 88:[92, 38, 35] Operation: 89-54=35
Exploring Operation: 92-54=38, Resulting Numbers: [38, 89, 38]
Generated Node #0,4: 88:[38, 89, 38] Operation: 92-54=38
Moving to Node #0,2
Current State: 88:[92, 89, 92], Operations: ['54+38=92']
Exploring Operation: 92-89=3, Resulting Numbers: [92, 3]
Generated Node #0,2,0: 88:[92, 3] Operation: 92-89=3
Exploring Operation: 92-89=3, Resulting Numbers: [92, 3]
Generated Node #0,2,1: 88:[92, 3] Operation: 92-89=3
Exploring Operation: 92/92=1, Resulting Numbers: [89, 1]
Generated Node #0,2,2: 88:[89, 1] Operation: 92/92=1
Exploring Operation: 92-92=0, Resulting Numbers: [89, 0]
Generated Node #0,2,3: 88:[89, 0] Operation: 92-92=0
Exploring Operation: 92+89=181, Resulting Numbers: [92, 181]
Generated Node #0,2,4: 88:[92, 181] Operation: 92+89=181
Moving to Node #0,0
Current State: 88:[92, 89, 16], Operations: ['54-38=16']
Exploring Operation: 92+16=108, Resulting Numbers: [89, 108]
Generated Node #0,0,0: 88:[89, 108] Operation: 92+16=108
Exploring Operation: 89+16=105, Resulting Numbers: [92, 105]
Generated Node #0,0,1: 88:[92, 105] Operation: 89+16=105
Exploring Operation: 92-16=76, Resulting Numbers: [89, 76]
Generated Node #0,0,2: 88:[89, 76] Operation: 92-16=76
Exploring Operation: 89-16=73, Resulting Numbers: [92, 73]
Generated Node #0,0,3: 88:[92, 73] Operation: 89-16=73
Exploring Operation: 92-89=3, Resulting Numbers: [16, 3]
Generated Node #0,0,4: 88:[16, 3] Operation: 92-89=3
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 88:[16, 3], Operations: ['54-38=16', '92-89=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 88:[89, 76], Operations: ['54-38=16', '92-16=76']
Exploring Operation: 89-76=13, Resulting Numbers: [13]
13,88 unequal: No Solution
Exploring Operation: 89*76=6764, Resulting Numbers: [6764]
6764,88 unequal: No Solution
Exploring Operation: 89+76=165, Resulting Numbers: [165]
165,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 88:[92, 73], Operations: ['54-38=16', '89-16=73']
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 92+73=165, Resulting Numbers: [165]
165,88 unequal: No Solution
Exploring Operation: 92*73=6716, Resulting Numbers: [6716]
6716,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[89, 108], Operations: ['54-38=16', '92+16=108']
Exploring Operation: 89*108=9612, Resulting Numbers: [9612]
9612,88 unequal: No Solution
Exploring Operation: 89+108=197, Resulting Numbers: [197]
197,88 unequal: No Solution
Exploring Operation: 108-89=19, Resulting Numbers: [19]
19,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 88:[92, 105], Operations: ['54-38=16', '89+16=105']
Exploring Operation: 92*105=9660, Resulting Numbers: [9660]
9660,88 unequal: No Solution
Exploring Operation: 92+105=197, Resulting Numbers: [197]
197,88 unequal: No Solution
Exploring Operation: 105-92=13, Resulting Numbers: [13]
13,88 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: 88:[38, 89, 38], Operations: ['92-54=38']
Exploring Operation: 38-38=0, Resulting Numbers: [89, 0]
Generated Node #0,4,0: 88:[89, 0] Operation: 38-38=0
Exploring Operation: 89-38=51, Resulting Numbers: [38, 51]
Generated Node #0,4,1: 88:[38, 51] Operation: 89-38=51
Exploring Operation: 89-38=51, Resulting Numbers: [38, 51]
Generated Node #0,4,2: 88:[38, 51] Operation: 89-38=51
Exploring Operation: 38/38=1, Resulting Numbers: [89, 1]
Generated Node #0,4,3: 88:[89, 1] Operation: 38/38=1
Exploring Operation: 38+38=76, Resulting Numbers: [89, 76]
Generated Node #0,4,4: 88:[89, 76] Operation: 38+38=76
Moving to Node #0,1
Current State: 88:[54, 38, 3], Operations: ['92-89=3']
Exploring Operation: 54/3=18, Resulting Numbers: [38, 18]
Generated Node #0,1,0: 88:[38, 18] Operation: 54/3=18
Exploring Operation: 54-38=16, Resulting Numbers: [3, 16]
Generated Node #0,1,1: 88:[3, 16] Operation: 54-38=16
Exploring Operation: 54-3=51, Resulting Numbers: [38, 51]
Generated Node #0,1,2: 88:[38, 51] Operation: 54-3=51
Exploring Operation: 54+38=92, Resulting Numbers: [3, 92]
Generated Node #0,1,3: 88:[3, 92] Operation: 54+38=92
Exploring Operation: 38+3=41, Resulting Numbers: [54, 41]
Generated Node #0,1,4: 88:[54, 41] Operation: 38+3=41
Moving to Node #0,3
Current State: 88:[92, 38, 35], Operations: ['89-54=35']
Exploring Operation: 92+35=127, Resulting Numbers: [38, 127]
Generated Node #0,3,0: 88:[38, 127] Operation: 92+35=127
Exploring Operation: 38-35=3, Resulting Numbers: [92, 3]
Generated Node #0,3,1: 88:[92, 3] Operation: 38-35=3
Exploring Operation: 92-35=57, Resulting Numbers: [38, 57]
Generated Node #0,3,2: 88:[38, 57] Operation: 92-35=57
Exploring Operation: 38+35=73, Resulting Numbers: [92, 73]
Generated Node #0,3,3: 88:[92, 73] Operation: 38+35=73
Exploring Operation: 92-38=54, Resulting Numbers: [35, 54]
Generated Node #0,3,4: 88:[35, 54] Operation: 92-38=54
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 88:[92, 3], Operations: ['89-54=35', '38-35=3']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,88 unequal: No Solution
Exploring Operation: 92*3=276, Resulting Numbers: [276]
276,88 unequal: No Solution
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 88:[38, 57], Operations: ['89-54=35', '92-35=57']
Exploring Operation: 38*57=2166, Resulting Numbers: [2166]
2166,88 unequal: No Solution
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 38+57=95, Resulting Numbers: [95]
95,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 88:[92, 73], Operations: ['89-54=35', '38+35=73']
Exploring Operation: 92*73=6716, Resulting Numbers: [6716]
6716,88 unequal: No Solution
Exploring Operation: 92+73=165, Resulting Numbers: [165]
165,88 unequal: No Solution
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 88:[35, 54], Operations: ['89-54=35', '92-38=54']
Exploring Operation: 35*54=1890, Resulting Numbers: [1890]
1890,88 unequal: No Solution
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 35+54=89, Resulting Numbers: [89]
89,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 88:[38, 127], Operations: ['89-54=35', '92+35=127']
Exploring Operation: 127-38=89, Resulting Numbers: [89]
89,88 unequal: No Solution
Exploring Operation: 38+127=165, Resulting Numbers: [165]
165,88 unequal: No Solution
Exploring Operation: 38*127=4826, Resulting Numbers: [4826]
4826,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 88:[89, 1], Operations: ['54+38=92', '92/92=1']
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,88 unequal: No Solution
Exploring Operation: 89/1=89, Resulting Numbers: [89]
89,88 unequal: No Solution
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,88 unequal: No Solution
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[54, 92, 38, 89], Operations: []
Exploring Operation: 54+38=92, Resulting Numbers: [92, 89, 92]
Generated Node #0,2: 88:[92, 89, 92] Operation: 54+38=92
Moving to Node #0,2
Current State: 88:[92, 89, 92], Operations: ['54+38=92']
Exploring Operation: 92/92=1, Resulting Numbers: [89, 1]
Generated Node #0,2,2: 88:[89, 1] Operation: 92/92=1
Moving to Node #0,2,2
Current State: 88:[89, 1], Operations: ['54+38=92', '92/92=1']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.940972 | hs_5 | sum_heuristic |
[
72,
45,
69,
64
] | 57 | [
"72-69=3",
"64-45=19",
"3*19=57"
] | Current State: 57:[72, 45, 69, 64], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [45, 64, 3]
Generated Node #2: [45, 64, 3] from Operation: 72-69=3
Current State: 57:[45, 64, 3], Operations: ['72-69=3']
Exploring Operation: 64-45=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 64-45=19
Current State: 57:[3, 19], Operations: ['72-69=3', '64-45=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[72, 45, 69, 64], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [45, 64, 3]
Generated Node #0,0: 57:[45, 64, 3] Operation: 72-69=3
Exploring Operation: 69-45=24, Resulting Numbers: [72, 64, 24]
Generated Node #0,1: 57:[72, 64, 24] Operation: 69-45=24
Exploring Operation: 72-45=27, Resulting Numbers: [69, 64, 27]
Generated Node #0,2: 57:[69, 64, 27] Operation: 72-45=27
Exploring Operation: 64-45=19, Resulting Numbers: [72, 69, 19]
Generated Node #0,3: 57:[72, 69, 19] Operation: 64-45=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[45, 64, 3], Operations: ['72-69=3']
Exploring Operation: 64-45=19, Resulting Numbers: [3, 19]
Generated Node #0,0,0: 57:[3, 19] Operation: 64-45=19
Exploring Operation: 64-3=61, Resulting Numbers: [45, 61]
Generated Node #0,0,1: 57:[45, 61] Operation: 64-3=61
Exploring Operation: 45/3=15, Resulting Numbers: [64, 15]
Generated Node #0,0,2: 57:[64, 15] Operation: 45/3=15
Exploring Operation: 45+3=48, Resulting Numbers: [64, 48]
Generated Node #0,0,3: 57:[64, 48] Operation: 45+3=48
Moving to Node #0,0,0
Current State: 57:[3, 19], Operations: ['72-69=3', '64-45=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[72, 45, 69, 64], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [45, 64, 3]
Generated Node #0,0: 57:[45, 64, 3] Operation: 72-69=3
Moving to Node #0,0
Current State: 57:[45, 64, 3], Operations: ['72-69=3']
Exploring Operation: 64-45=19, Resulting Numbers: [3, 19]
Generated Node #0,0,0: 57:[3, 19] Operation: 64-45=19
Moving to Node #0,0,0
Current State: 57:[3, 19], Operations: ['72-69=3', '64-45=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
66,
26,
2,
2
] | 53 | [
"66*2=132",
"132-26=106",
"106/2=53"
] | Current State: 53:[66, 26, 2, 2], Operations: []
Exploring Operation: 66*2=132, Resulting Numbers: [26, 132]
Generated Node #2: [26, 132] from Operation: 66*2=132
Current State: 53:[26, 132], Operations: ['66*2=132']
Exploring Operation: 132-26=106, Resulting Numbers: [106]
106,53 equal: Goal Reached
Exploring Operation: 106/2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[66, 26, 2, 2], Operations: []
Exploring Operation: 26*2=52, Resulting Numbers: [66, 2, 52]
Generated Node #0,0: 53:[66, 2, 52] Operation: 26*2=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[66, 2, 52], Operations: ['26*2=52']
Exploring Operation: 66-2=64, Resulting Numbers: [52, 64]
Generated Node #0,0,0: 53:[52, 64] Operation: 66-2=64
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[52, 64], Operations: ['26*2=52', '66-2=64']
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
30,
99,
91,
11
] | 58 | [
"99-91=8",
"11*8=88",
"88-30=58"
] | Current State: 58:[30, 99, 91, 11], Operations: []
Exploring Operation: 99-91=8, Resulting Numbers: [30, 11, 8]
Generated Node #2: [30, 11, 8] from Operation: 99-91=8
Current State: 58:[30, 11, 8], Operations: ['99-91=8']
Exploring Operation: 11*8=88, Resulting Numbers: [30, 88]
Generated Node #3: [30, 88] from Operation: 11*8=88
Current State: 58:[30, 88], Operations: ['99-91=8', '11*8=88']
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[30, 99, 91, 11], Operations: []
Exploring Operation: 91-30=61, Resulting Numbers: [99, 11, 61]
Generated Node #0,0: 58:[99, 11, 61] Operation: 91-30=61
Exploring Operation: 99-11=88, Resulting Numbers: [30, 91, 88]
Generated Node #0,1: 58:[30, 91, 88] Operation: 99-11=88
Exploring Operation: 99/11=9, Resulting Numbers: [30, 91, 9]
Generated Node #0,2: 58:[30, 91, 9] Operation: 99/11=9
Exploring Operation: 99-91=8, Resulting Numbers: [30, 11, 8]
Generated Node #0,3: 58:[30, 11, 8] Operation: 99-91=8
Exploring Operation: 99-30=69, Resulting Numbers: [91, 11, 69]
Generated Node #0,4: 58:[91, 11, 69] Operation: 99-30=69
Moving to Node #0,3
Current State: 58:[30, 11, 8], Operations: ['99-91=8']
Exploring Operation: 11+8=19, Resulting Numbers: [30, 19]
Generated Node #0,3,0: 58:[30, 19] Operation: 11+8=19
Exploring Operation: 30+11=41, Resulting Numbers: [8, 41]
Generated Node #0,3,1: 58:[8, 41] Operation: 30+11=41
Exploring Operation: 30-8=22, Resulting Numbers: [11, 22]
Generated Node #0,3,2: 58:[11, 22] Operation: 30-8=22
Exploring Operation: 11-8=3, Resulting Numbers: [30, 3]
Generated Node #0,3,3: 58:[30, 3] Operation: 11-8=3
Exploring Operation: 30-11=19, Resulting Numbers: [8, 19]
Generated Node #0,3,4: 58:[8, 19] Operation: 30-11=19
Moving to Node #0,2
Current State: 58:[30, 91, 9], Operations: ['99/11=9']
Exploring Operation: 91-30=61, Resulting Numbers: [9, 61]
Generated Node #0,2,0: 58:[9, 61] Operation: 91-30=61
Exploring Operation: 30-9=21, Resulting Numbers: [91, 21]
Generated Node #0,2,1: 58:[91, 21] Operation: 30-9=21
Exploring Operation: 30+9=39, Resulting Numbers: [91, 39]
Generated Node #0,2,2: 58:[91, 39] Operation: 30+9=39
Exploring Operation: 91-9=82, Resulting Numbers: [30, 82]
Generated Node #0,2,3: 58:[30, 82] Operation: 91-9=82
Exploring Operation: 91+9=100, Resulting Numbers: [30, 100]
Generated Node #0,2,4: 58:[30, 100] Operation: 91+9=100
Moving to Node #0,0
Current State: 58:[99, 11, 61], Operations: ['91-30=61']
Exploring Operation: 61-11=50, Resulting Numbers: [99, 50]
Generated Node #0,0,0: 58:[99, 50] Operation: 61-11=50
Exploring Operation: 99/11=9, Resulting Numbers: [61, 9]
Generated Node #0,0,1: 58:[61, 9] Operation: 99/11=9
Exploring Operation: 99-61=38, Resulting Numbers: [11, 38]
Generated Node #0,0,2: 58:[11, 38] Operation: 99-61=38
Exploring Operation: 99-11=88, Resulting Numbers: [61, 88]
Generated Node #0,0,3: 58:[61, 88] Operation: 99-11=88
Exploring Operation: 99+11=110, Resulting Numbers: [61, 110]
Generated Node #0,0,4: 58:[61, 110] Operation: 99+11=110
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[61, 9], Operations: ['91-30=61', '99/11=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,58 unequal: No Solution
Exploring Operation: 61*9=549, Resulting Numbers: [549]
549,58 unequal: No Solution
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[11, 38], Operations: ['91-30=61', '99-61=38']
Exploring Operation: 11*38=418, Resulting Numbers: [418]
418,58 unequal: No Solution
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,58 unequal: No Solution
Exploring Operation: 11+38=49, Resulting Numbers: [49]
49,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 58:[61, 88], Operations: ['91-30=61', '99-11=88']
Exploring Operation: 61*88=5368, Resulting Numbers: [5368]
5368,58 unequal: No Solution
Exploring Operation: 61+88=149, Resulting Numbers: [149]
149,58 unequal: No Solution
Exploring Operation: 88-61=27, Resulting Numbers: [27]
27,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[99, 50], Operations: ['91-30=61', '61-11=50']
Exploring Operation: 99+50=149, Resulting Numbers: [149]
149,58 unequal: No Solution
Exploring Operation: 99*50=4950, Resulting Numbers: [4950]
4950,58 unequal: No Solution
Exploring Operation: 99-50=49, Resulting Numbers: [49]
49,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 58:[61, 110], Operations: ['91-30=61', '99+11=110']
Exploring Operation: 110-61=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 61+110=171, Resulting Numbers: [171]
171,58 unequal: No Solution
Exploring Operation: 61*110=6710, Resulting Numbers: [6710]
6710,58 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: 58:[91, 11, 69], Operations: ['99-30=69']
Exploring Operation: 91-69=22, Resulting Numbers: [11, 22]
Generated Node #0,4,0: 58:[11, 22] Operation: 91-69=22
Exploring Operation: 69-11=58, Resulting Numbers: [91, 58]
Generated Node #0,4,1: 58:[91, 58] Operation: 69-11=58
Exploring Operation: 11+69=80, Resulting Numbers: [91, 80]
Generated Node #0,4,2: 58:[91, 80] Operation: 11+69=80
Exploring Operation: 91-11=80, Resulting Numbers: [69, 80]
Generated Node #0,4,3: 58:[69, 80] Operation: 91-11=80
Exploring Operation: 91+11=102, Resulting Numbers: [69, 102]
Generated Node #0,4,4: 58:[69, 102] Operation: 91+11=102
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 58:[11, 22], Operations: ['99-30=69', '91-69=22']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,58 unequal: No Solution
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,58 unequal: No Solution
Exploring Operation: 11*22=242, Resulting Numbers: [242]
242,58 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 58:[91, 58], Operations: ['99-30=69', '69-11=58']
Exploring Operation: 91+58=149, Resulting Numbers: [149]
149,58 unequal: No Solution
Exploring Operation: 91*58=5278, Resulting Numbers: [5278]
5278,58 unequal: No Solution
Exploring Operation: 91-58=33, Resulting Numbers: [33]
33,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 58:[69, 80], Operations: ['99-30=69', '91-11=80']
Exploring Operation: 69+80=149, Resulting Numbers: [149]
149,58 unequal: No Solution
Exploring Operation: 69*80=5520, Resulting Numbers: [5520]
5520,58 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 58:[91, 80], Operations: ['99-30=69', '11+69=80']
Exploring Operation: 91-80=11, Resulting Numbers: [11]
11,58 unequal: No Solution
Exploring Operation: 91*80=7280, Resulting Numbers: [7280]
7280,58 unequal: No Solution
Exploring Operation: 91+80=171, Resulting Numbers: [171]
171,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 58:[69, 102], Operations: ['99-30=69', '91+11=102']
Exploring Operation: 102-69=33, Resulting Numbers: [33]
33,58 unequal: No Solution
Exploring Operation: 69+102=171, Resulting Numbers: [171]
171,58 unequal: No Solution
Exploring Operation: 69*102=7038, Resulting Numbers: [7038]
7038,58 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: 58:[30, 91, 88], Operations: ['99-11=88']
Exploring Operation: 88-30=58, Resulting Numbers: [91, 58]
Generated Node #0,1,0: 58:[91, 58] Operation: 88-30=58
Exploring Operation: 30+91=121, Resulting Numbers: [88, 121]
Generated Node #0,1,1: 58:[88, 121] Operation: 30+91=121
Exploring Operation: 91-30=61, Resulting Numbers: [88, 61]
Generated Node #0,1,2: 58:[88, 61] Operation: 91-30=61
Exploring Operation: 91-88=3, Resulting Numbers: [30, 3]
Generated Node #0,1,3: 58:[30, 3] Operation: 91-88=3
Exploring Operation: 30+88=118, Resulting Numbers: [91, 118]
Generated Node #0,1,4: 58:[91, 118] Operation: 30+88=118
Moving to Node #0,3,3
Current State: 58:[30, 3], Operations: ['99-91=8', '11-8=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,58 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,58 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,58 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Moving to Node #0,1,3
Current State: 58:[30, 3], Operations: ['99-11=88', '91-88=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,58 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,58 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[9, 61], Operations: ['99/11=9', '91-30=61']
Exploring Operation: 9+61=70, Resulting Numbers: [70]
70,58 unequal: No Solution
Exploring Operation: 9*61=549, Resulting Numbers: [549]
549,58 unequal: No Solution
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,58 unequal: No Solution
Moving to Node #0,3,0
Current State: 58:[30, 19], Operations: ['99-91=8', '11+8=19']
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,58 unequal: No Solution
Exploring Operation: 30*19=570, Resulting Numbers: [570]
570,58 unequal: No Solution
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Moving to Node #0,3,2
Current State: 58:[11, 22], Operations: ['99-91=8', '30-8=22']
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,58 unequal: No Solution
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,58 unequal: No Solution
Exploring Operation: 11*22=242, Resulting Numbers: [242]
242,58 unequal: No Solution
Moving to Node #0,3,4
Current State: 58:[8, 19], Operations: ['99-91=8', '30-11=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,58 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,58 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,58 unequal: No Solution
Moving to Node #0,3,1
Current State: 58:[8, 41], Operations: ['99-91=8', '30+11=41']
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,58 unequal: No Solution
Exploring Operation: 8*41=328, Resulting Numbers: [328]
328,58 unequal: No Solution
Moving to Node #0,2,3
Current State: 58:[30, 82], Operations: ['99/11=9', '91-9=82']
Exploring Operation: 30+82=112, Resulting Numbers: [112]
112,58 unequal: No Solution
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,58 unequal: No Solution
Exploring Operation: 30*82=2460, Resulting Numbers: [2460]
2460,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[91, 58], Operations: ['99-11=88', '88-30=58']
Exploring Operation: 91-58=33, Resulting Numbers: [33]
33,58 unequal: No Solution
Exploring Operation: 91+58=149, Resulting Numbers: [149]
149,58 unequal: No Solution
Exploring Operation: 91*58=5278, Resulting Numbers: [5278]
5278,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[88, 61], Operations: ['99-11=88', '91-30=61']
Exploring Operation: 88*61=5368, Resulting Numbers: [5368]
5368,58 unequal: No Solution
Exploring Operation: 88+61=149, Resulting Numbers: [149]
149,58 unequal: No Solution
Exploring Operation: 88-61=27, Resulting Numbers: [27]
27,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[91, 21], Operations: ['99/11=9', '30-9=21']
Exploring Operation: 91*21=1911, Resulting Numbers: [1911]
1911,58 unequal: No Solution
Exploring Operation: 91+21=112, Resulting Numbers: [112]
112,58 unequal: No Solution
Exploring Operation: 91-21=70, Resulting Numbers: [70]
70,58 unequal: No Solution
Moving to Node #0,2,4
Current State: 58:[30, 100], Operations: ['99/11=9', '91+9=100']
Exploring Operation: 30+100=130, Resulting Numbers: [130]
130,58 unequal: No Solution
Exploring Operation: 100-30=70, Resulting Numbers: [70]
70,58 unequal: No Solution
Exploring Operation: 30*100=3000, Resulting Numbers: [3000]
3000,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[91, 39], Operations: ['99/11=9', '30+9=39']
Exploring Operation: 91+39=130, Resulting Numbers: [130]
130,58 unequal: No Solution
Exploring Operation: 91*39=3549, Resulting Numbers: [3549]
3549,58 unequal: No Solution
Exploring Operation: 91-39=52, Resulting Numbers: [52]
52,58 unequal: No Solution
Moving to Node #0,1,4
Current State: 58:[91, 118], Operations: ['99-11=88', '30+88=118']
Exploring Operation: 118-91=27, Resulting Numbers: [27]
27,58 unequal: No Solution
Exploring Operation: 91*118=10738, Resulting Numbers: [10738]
10738,58 unequal: No Solution
Exploring Operation: 91+118=209, Resulting Numbers: [209]
209,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[88, 121], Operations: ['99-11=88', '30+91=121']
Exploring Operation: 88*121=10648, Resulting Numbers: [10648]
10648,58 unequal: No Solution
Exploring Operation: 121-88=33, Resulting Numbers: [33]
33,58 unequal: No Solution
Exploring Operation: 88+121=209, Resulting Numbers: [209]
209,58 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
54,
7,
39,
14
] | 72 | [
"54-7=47",
"39-14=25",
"47+25=72"
] | Current State: 72:[54, 7, 39, 14], Operations: []
Exploring Operation: 54-7=47, Resulting Numbers: [39, 14, 47]
Generated Node #2: [39, 14, 47] from Operation: 54-7=47
Current State: 72:[39, 14, 47], Operations: ['54-7=47']
Exploring Operation: 39-14=25, Resulting Numbers: [47, 25]
Generated Node #3: [47, 25] from Operation: 39-14=25
Current State: 72:[47, 25], Operations: ['54-7=47', '39-14=25']
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[54, 7, 39, 14], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [7, 14, 15]
Generated Node #0,0: 72:[7, 14, 15] Operation: 54-39=15
Exploring Operation: 54+14=68, Resulting Numbers: [7, 39, 68]
Generated Node #0,1: 72:[7, 39, 68] Operation: 54+14=68
Moving to Node #0,0
Current State: 72:[7, 14, 15], Operations: ['54-39=15']
Exploring Operation: 15-7=8, Resulting Numbers: [14, 8]
Generated Node #0,0,0: 72:[14, 8] Operation: 15-7=8
Exploring Operation: 15-14=1, Resulting Numbers: [7, 1]
Generated Node #0,0,1: 72:[7, 1] Operation: 15-14=1
Moving to Node #0,1
Current State: 72:[7, 39, 68], Operations: ['54+14=68']
Exploring Operation: 68-39=29, Resulting Numbers: [7, 29]
Generated Node #0,1,0: 72:[7, 29] Operation: 68-39=29
Exploring Operation: 7+68=75, Resulting Numbers: [39, 75]
Generated Node #0,1,1: 72:[39, 75] Operation: 7+68=75
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[7, 29], Operations: ['54+14=68', '68-39=29']
Exploring Operation: 7+29=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 72:[39, 75], Operations: ['54+14=68', '7+68=75']
Exploring Operation: 75-39=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 39+75=114, Resulting Numbers: [114]
114,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 72:[14, 8], Operations: ['54-39=15', '15-7=8']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[7, 1], Operations: ['54-39=15', '15-14=1']
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,72 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
22,
43,
85,
76
] | 96 | [
"22+43=65",
"85+76=161",
"161-65=96"
] | Current State: 96:[22, 43, 85, 76], Operations: []
Exploring Operation: 22+43=65, Resulting Numbers: [85, 76, 65]
Generated Node #2: [85, 76, 65] from Operation: 22+43=65
Current State: 96:[85, 76, 65], Operations: ['22+43=65']
Exploring Operation: 85+76=161, Resulting Numbers: [65, 161]
Generated Node #3: [65, 161] from Operation: 85+76=161
Current State: 96:[65, 161], Operations: ['22+43=65', '85+76=161']
Exploring Operation: 161-65=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[22, 43, 85, 76], Operations: []
Exploring Operation: 76-43=33, Resulting Numbers: [22, 85, 33]
Generated Node #0,0: 96:[22, 85, 33] Operation: 76-43=33
Exploring Operation: 76-22=54, Resulting Numbers: [43, 85, 54]
Generated Node #0,1: 96:[43, 85, 54] Operation: 76-22=54
Exploring Operation: 85-43=42, Resulting Numbers: [22, 76, 42]
Generated Node #0,2: 96:[22, 76, 42] Operation: 85-43=42
Exploring Operation: 22+76=98, Resulting Numbers: [43, 85, 98]
Generated Node #0,3: 96:[43, 85, 98] Operation: 22+76=98
Exploring Operation: 85-76=9, Resulting Numbers: [22, 43, 9]
Generated Node #0,4: 96:[22, 43, 9] Operation: 85-76=9
Start Sub Search at level 1: Moving to Node #0,4
Current State: 96:[22, 43, 9], Operations: ['85-76=9']
Exploring Operation: 22+9=31, Resulting Numbers: [43, 31]
Generated Node #0,4,0: 96:[43, 31] Operation: 22+9=31
Exploring Operation: 22-9=13, Resulting Numbers: [43, 13]
Generated Node #0,4,1: 96:[43, 13] Operation: 22-9=13
Exploring Operation: 43+9=52, Resulting Numbers: [22, 52]
Generated Node #0,4,2: 96:[22, 52] Operation: 43+9=52
Exploring Operation: 43-22=21, Resulting Numbers: [9, 21]
Generated Node #0,4,3: 96:[9, 21] Operation: 43-22=21
Exploring Operation: 43-9=34, Resulting Numbers: [22, 34]
Generated Node #0,4,4: 96:[22, 34] Operation: 43-9=34
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 96:[9, 21], Operations: ['85-76=9', '43-22=21']
Exploring Operation: 9+21=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 9*21=189, Resulting Numbers: [189]
189,96 unequal: No Solution
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 96:[22, 34], Operations: ['85-76=9', '43-9=34']
Exploring Operation: 22+34=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,96 unequal: No Solution
Exploring Operation: 22*34=748, Resulting Numbers: [748]
748,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 96:[43, 31], Operations: ['85-76=9', '22+9=31']
Exploring Operation: 43*31=1333, Resulting Numbers: [1333]
1333,96 unequal: No Solution
Exploring Operation: 43+31=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 96:[43, 13], Operations: ['85-76=9', '22-9=13']
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 43+13=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 43*13=559, Resulting Numbers: [559]
559,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 96:[22, 52], Operations: ['85-76=9', '43+9=52']
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 22*52=1144, Resulting Numbers: [1144]
1144,96 unequal: No Solution
Exploring Operation: 22+52=74, Resulting Numbers: [74]
74,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[22, 85, 33], Operations: ['76-43=33']
Exploring Operation: 85-33=52, Resulting Numbers: [22, 52]
Generated Node #0,0,0: 96:[22, 52] Operation: 85-33=52
Exploring Operation: 22+85=107, Resulting Numbers: [33, 107]
Generated Node #0,0,1: 96:[33, 107] Operation: 22+85=107
Exploring Operation: 33-22=11, Resulting Numbers: [85, 11]
Generated Node #0,0,2: 96:[85, 11] Operation: 33-22=11
Exploring Operation: 85-22=63, Resulting Numbers: [33, 63]
Generated Node #0,0,3: 96:[33, 63] Operation: 85-22=63
Exploring Operation: 22+33=55, Resulting Numbers: [85, 55]
Generated Node #0,0,4: 96:[85, 55] Operation: 22+33=55
Moving to Node #0,0,0
Current State: 96:[22, 52], Operations: ['76-43=33', '85-33=52']
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 22+52=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 22*52=1144, Resulting Numbers: [1144]
1144,96 unequal: No Solution
Moving to Node #0,0,2
Current State: 96:[85, 11], Operations: ['76-43=33', '33-22=11']
Exploring Operation: 85+11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[22, 43, 85, 76], Operations: []
Exploring Operation: 76-43=33, Resulting Numbers: [22, 85, 33]
Generated Node #0,0: 96:[22, 85, 33] Operation: 76-43=33
Moving to Node #0,0
Current State: 96:[22, 85, 33], Operations: ['76-43=33']
Exploring Operation: 33-22=11, Resulting Numbers: [85, 11]
Generated Node #0,0,2: 96:[85, 11] Operation: 33-22=11
Moving to Node #0,0,2
Current State: 96:[85, 11], Operations: ['76-43=33', '33-22=11']
Exploring Operation: 85+11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_5 | mult_heuristic |
[
53,
59,
40,
7
] | 56 | [
"53+59=112",
"112/7=16",
"40+16=56"
] | Current State: 56:[53, 59, 40, 7], Operations: []
Exploring Operation: 53+59=112, Resulting Numbers: [40, 7, 112]
Generated Node #2: [40, 7, 112] from Operation: 53+59=112
Current State: 56:[40, 7, 112], Operations: ['53+59=112']
Exploring Operation: 112/7=16, Resulting Numbers: [40, 16]
Generated Node #3: [40, 16] from Operation: 112/7=16
Current State: 56:[40, 16], Operations: ['53+59=112', '112/7=16']
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[53, 59, 40, 7], Operations: []
Exploring Operation: 59-40=19, Resulting Numbers: [53, 7, 19]
Generated Node #0,0: 56:[53, 7, 19] Operation: 59-40=19
Exploring Operation: 40-7=33, Resulting Numbers: [53, 59, 33]
Generated Node #0,1: 56:[53, 59, 33] Operation: 40-7=33
Exploring Operation: 53-40=13, Resulting Numbers: [59, 7, 13]
Generated Node #0,2: 56:[59, 7, 13] Operation: 53-40=13
Exploring Operation: 59-53=6, Resulting Numbers: [40, 7, 6]
Generated Node #0,3: 56:[40, 7, 6] Operation: 59-53=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[59, 7, 13], Operations: ['53-40=13']
Exploring Operation: 13-7=6, Resulting Numbers: [59, 6]
Generated Node #0,2,0: 56:[59, 6] Operation: 13-7=6
Exploring Operation: 59-7=52, Resulting Numbers: [13, 52]
Generated Node #0,2,1: 56:[13, 52] Operation: 59-7=52
Exploring Operation: 59-13=46, Resulting Numbers: [7, 46]
Generated Node #0,2,2: 56:[7, 46] Operation: 59-13=46
Exploring Operation: 7+13=20, Resulting Numbers: [59, 20]
Generated Node #0,2,3: 56:[59, 20] Operation: 7+13=20
Moving to Node #0,2,0
Current State: 56:[59, 6], Operations: ['53-40=13', '13-7=6']
Exploring Operation: 59*6=354, Resulting Numbers: [354]
354,56 unequal: No Solution
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,56 unequal: No Solution
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[13, 52], Operations: ['53-40=13', '59-7=52']
Exploring Operation: 13*52=676, Resulting Numbers: [676]
676,56 unequal: No Solution
Exploring Operation: 52-13=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 13+52=65, Resulting Numbers: [65]
65,56 unequal: No Solution
Exploring Operation: 52/13=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Moving to Node #0,2,3
Current State: 56:[59, 20], Operations: ['53-40=13', '7+13=20']
Exploring Operation: 59+20=79, Resulting Numbers: [79]
79,56 unequal: No Solution
Exploring Operation: 59-20=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 59*20=1180, Resulting Numbers: [1180]
1180,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[7, 46], Operations: ['53-40=13', '59-13=46']
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 7+46=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 7*46=322, Resulting Numbers: [322]
322,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[53, 7, 19], Operations: ['59-40=19']
Exploring Operation: 53-19=34, Resulting Numbers: [7, 34]
Generated Node #0,0,0: 56:[7, 34] Operation: 53-19=34
Exploring Operation: 7+19=26, Resulting Numbers: [53, 26]
Generated Node #0,0,1: 56:[53, 26] Operation: 7+19=26
Exploring Operation: 19-7=12, Resulting Numbers: [53, 12]
Generated Node #0,0,2: 56:[53, 12] Operation: 19-7=12
Exploring Operation: 53+7=60, Resulting Numbers: [19, 60]
Generated Node #0,0,3: 56:[19, 60] Operation: 53+7=60
Moving to Node #0,0,1
Current State: 56:[53, 26], Operations: ['59-40=19', '7+19=26']
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 53+26=79, Resulting Numbers: [79]
79,56 unequal: No Solution
Exploring Operation: 53*26=1378, Resulting Numbers: [1378]
1378,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[53, 12], Operations: ['59-40=19', '19-7=12']
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,56 unequal: No Solution
Exploring Operation: 53*12=636, Resulting Numbers: [636]
636,56 unequal: No Solution
Exploring Operation: 53+12=65, Resulting Numbers: [65]
65,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[7, 34], Operations: ['59-40=19', '53-19=34']
Exploring Operation: 7*34=238, Resulting Numbers: [238]
238,56 unequal: No Solution
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 7+34=41, Resulting Numbers: [41]
41,56 unequal: No Solution
Moving to Node #0,0,3
Current State: 56:[19, 60], Operations: ['59-40=19', '53+7=60']
Exploring Operation: 19*60=1140, Resulting Numbers: [1140]
1140,56 unequal: No Solution
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,56 unequal: No Solution
Exploring Operation: 19+60=79, Resulting Numbers: [79]
79,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[53, 59, 33], Operations: ['40-7=33']
Exploring Operation: 53+33=86, Resulting Numbers: [59, 86]
Generated Node #0,1,0: 56:[59, 86] Operation: 53+33=86
Exploring Operation: 53-33=20, Resulting Numbers: [59, 20]
Generated Node #0,1,1: 56:[59, 20] Operation: 53-33=20
Exploring Operation: 59-33=26, Resulting Numbers: [53, 26]
Generated Node #0,1,2: 56:[53, 26] Operation: 59-33=26
Exploring Operation: 59-53=6, Resulting Numbers: [33, 6]
Generated Node #0,1,3: 56:[33, 6] Operation: 59-53=6
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 56:[53, 26], Operations: ['40-7=33', '59-33=26']
Exploring Operation: 53+26=79, Resulting Numbers: [79]
79,56 unequal: No Solution
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 53*26=1378, Resulting Numbers: [1378]
1378,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 56:[33, 6], Operations: ['40-7=33', '59-53=6']
Exploring Operation: 33+6=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 33*6=198, Resulting Numbers: [198]
198,56 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 56:[59, 20], Operations: ['40-7=33', '53-33=20']
Exploring Operation: 59-20=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 59+20=79, Resulting Numbers: [79]
79,56 unequal: No Solution
Exploring Operation: 59*20=1180, Resulting Numbers: [1180]
1180,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 56:[59, 86], Operations: ['40-7=33', '53+33=86']
Exploring Operation: 59*86=5074, Resulting Numbers: [5074]
5074,56 unequal: No Solution
Exploring Operation: 86-59=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 59+86=145, Resulting Numbers: [145]
145,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[40, 7, 6], Operations: ['59-53=6']
Exploring Operation: 40+7=47, Resulting Numbers: [6, 47]
Generated Node #0,3,0: 56:[6, 47] Operation: 40+7=47
Exploring Operation: 40-7=33, Resulting Numbers: [6, 33]
Generated Node #0,3,1: 56:[6, 33] Operation: 40-7=33
Exploring Operation: 40+6=46, Resulting Numbers: [7, 46]
Generated Node #0,3,2: 56:[7, 46] Operation: 40+6=46
Exploring Operation: 40-6=34, Resulting Numbers: [7, 34]
Generated Node #0,3,3: 56:[7, 34] Operation: 40-6=34
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 56:[6, 33], Operations: ['59-53=6', '40-7=33']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 6*33=198, Resulting Numbers: [198]
198,56 unequal: No Solution
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 56:[7, 34], Operations: ['59-53=6', '40-6=34']
Exploring Operation: 7+34=41, Resulting Numbers: [41]
41,56 unequal: No Solution
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 7*34=238, Resulting Numbers: [238]
238,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 56:[6, 47], Operations: ['59-53=6', '40+7=47']
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,56 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 56:[7, 46], Operations: ['59-53=6', '40+6=46']
Exploring Operation: 7*46=322, Resulting Numbers: [322]
322,56 unequal: No Solution
Exploring Operation: 7+46=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
95,
6,
91,
99
] | 75 | [
"95-91=4",
"6*4=24",
"99-24=75"
] | Current State: 75:[95, 6, 91, 99], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [6, 99, 4]
Generated Node #2: [6, 99, 4] from Operation: 95-91=4
Current State: 75:[6, 99, 4], Operations: ['95-91=4']
Exploring Operation: 6*4=24, Resulting Numbers: [99, 24]
Generated Node #3: [99, 24] from Operation: 6*4=24
Current State: 75:[99, 24], Operations: ['95-91=4', '6*4=24']
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[95, 6, 91, 99], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [6, 91, 4]
Generated Node #0,0: 75:[6, 91, 4] Operation: 99-95=4
Moving to Node #0,0
Current State: 75:[6, 91, 4], Operations: ['99-95=4']
Exploring Operation: 91-6=85, Resulting Numbers: [4, 85]
Generated Node #0,0,0: 75:[4, 85] Operation: 91-6=85
Moving to Node #0,0,0
Current State: 75:[4, 85], Operations: ['99-95=4', '91-6=85']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,75 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
76,
71,
83,
10
] | 74 | [
"76+71=147",
"83-10=73",
"147-73=74"
] | Current State: 74:[76, 71, 83, 10], Operations: []
Exploring Operation: 76+71=147, Resulting Numbers: [83, 10, 147]
Generated Node #2: [83, 10, 147] from Operation: 76+71=147
Current State: 74:[83, 10, 147], Operations: ['76+71=147']
Exploring Operation: 83-10=73, Resulting Numbers: [147, 73]
Generated Node #3: [147, 73] from Operation: 83-10=73
Current State: 74:[147, 73], Operations: ['76+71=147', '83-10=73']
Exploring Operation: 147-73=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[76, 71, 83, 10], Operations: []
Exploring Operation: 83-10=73, Resulting Numbers: [76, 71, 73]
Generated Node #0,0: 74:[76, 71, 73] Operation: 83-10=73
Exploring Operation: 71+10=81, Resulting Numbers: [76, 83, 81]
Generated Node #0,1: 74:[76, 83, 81] Operation: 71+10=81
Exploring Operation: 83-76=7, Resulting Numbers: [71, 10, 7]
Generated Node #0,2: 74:[71, 10, 7] Operation: 83-76=7
Exploring Operation: 76-71=5, Resulting Numbers: [83, 10, 5]
Generated Node #0,3: 74:[83, 10, 5] Operation: 76-71=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[76, 71, 73], Operations: ['83-10=73']
Exploring Operation: 76-71=5, Resulting Numbers: [73, 5]
Generated Node #0,0,0: 74:[73, 5] Operation: 76-71=5
Exploring Operation: 73-71=2, Resulting Numbers: [76, 2]
Generated Node #0,0,1: 74:[76, 2] Operation: 73-71=2
Exploring Operation: 71+73=144, Resulting Numbers: [76, 144]
Generated Node #0,0,2: 74:[76, 144] Operation: 71+73=144
Exploring Operation: 76-73=3, Resulting Numbers: [71, 3]
Generated Node #0,0,3: 74:[71, 3] Operation: 76-73=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[76, 2], Operations: ['83-10=73', '73-71=2']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,74 unequal: No Solution
Exploring Operation: 76*2=152, Resulting Numbers: [152]
152,74 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[76, 71, 83, 10], Operations: []
Exploring Operation: 83-10=73, Resulting Numbers: [76, 71, 73]
Generated Node #0,0: 74:[76, 71, 73] Operation: 83-10=73
Moving to Node #0,0
Current State: 74:[76, 71, 73], Operations: ['83-10=73']
Exploring Operation: 73-71=2, Resulting Numbers: [76, 2]
Generated Node #0,0,1: 74:[76, 2] Operation: 73-71=2
Moving to Node #0,0,1
Current State: 74:[76, 2], Operations: ['83-10=73', '73-71=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
58,
85,
2,
99
] | 55 | [
"58+85=143",
"2*99=198",
"198-143=55"
] | Current State: 55:[58, 85, 2, 99], Operations: []
Exploring Operation: 58+85=143, Resulting Numbers: [2, 99, 143]
Generated Node #2: [2, 99, 143] from Operation: 58+85=143
Current State: 55:[2, 99, 143], Operations: ['58+85=143']
Exploring Operation: 2*99=198, Resulting Numbers: [143, 198]
Generated Node #3: [143, 198] from Operation: 2*99=198
Current State: 55:[143, 198], Operations: ['58+85=143', '2*99=198']
Exploring Operation: 198-143=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[58, 85, 2, 99], Operations: []
Exploring Operation: 99-58=41, Resulting Numbers: [85, 2, 41]
Generated Node #0,0: 55:[85, 2, 41] Operation: 99-58=41
Exploring Operation: 99-85=14, Resulting Numbers: [58, 2, 14]
Generated Node #0,1: 55:[58, 2, 14] Operation: 99-85=14
Moving to Node #0,1
Current State: 55:[58, 2, 14], Operations: ['99-85=14']
Exploring Operation: 14-2=12, Resulting Numbers: [58, 12]
Generated Node #0,1,0: 55:[58, 12] Operation: 14-2=12
Exploring Operation: 58-2=56, Resulting Numbers: [14, 56]
Generated Node #0,1,1: 55:[14, 56] Operation: 58-2=56
Moving to Node #0,0
Current State: 55:[85, 2, 41], Operations: ['99-58=41']
Exploring Operation: 85-2=83, Resulting Numbers: [41, 83]
Generated Node #0,0,0: 55:[41, 83] Operation: 85-2=83
Exploring Operation: 85-41=44, Resulting Numbers: [2, 44]
Generated Node #0,0,1: 55:[2, 44] Operation: 85-41=44
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[2, 44], Operations: ['99-58=41', '85-41=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,55 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[41, 83], Operations: ['99-58=41', '85-2=83']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,55 unequal: No Solution
Exploring Operation: 41+83=124, Resulting Numbers: [124]
124,55 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: 55:[58, 12], Operations: ['99-85=14', '14-2=12']
Exploring Operation: 58-12=46, Resulting Numbers: [46]
46,55 unequal: No Solution
Exploring Operation: 58+12=70, Resulting Numbers: [70]
70,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[14, 56], Operations: ['99-85=14', '58-2=56']
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,55 unequal: No Solution
Exploring Operation: 56/14=4, Resulting Numbers: [4]
4,55 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
40,
64,
21,
41
] | 20 | [
"64-21=43",
"43-41=2",
"40/2=20"
] | Current State: 20:[40, 64, 21, 41], Operations: []
Exploring Operation: 64-21=43, Resulting Numbers: [40, 41, 43]
Generated Node #2: [40, 41, 43] from Operation: 64-21=43
Current State: 20:[40, 41, 43], Operations: ['64-21=43']
Exploring Operation: 43-41=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 43-41=2
Current State: 20:[40, 2], Operations: ['64-21=43', '43-41=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[40, 64, 21, 41], Operations: []
Exploring Operation: 41-40=1, Resulting Numbers: [64, 21, 1]
Generated Node #0,0: 20:[64, 21, 1] Operation: 41-40=1
Exploring Operation: 64-41=23, Resulting Numbers: [40, 21, 23]
Generated Node #0,1: 20:[40, 21, 23] Operation: 64-41=23
Exploring Operation: 64-40=24, Resulting Numbers: [21, 41, 24]
Generated Node #0,2: 20:[21, 41, 24] Operation: 64-40=24
Exploring Operation: 64-21=43, Resulting Numbers: [40, 41, 43]
Generated Node #0,3: 20:[40, 41, 43] Operation: 64-21=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[40, 21, 23], Operations: ['64-41=23']
Exploring Operation: 40-23=17, Resulting Numbers: [21, 17]
Generated Node #0,1,0: 20:[21, 17] Operation: 40-23=17
Exploring Operation: 40+21=61, Resulting Numbers: [23, 61]
Generated Node #0,1,1: 20:[23, 61] Operation: 40+21=61
Exploring Operation: 23-21=2, Resulting Numbers: [40, 2]
Generated Node #0,1,2: 20:[40, 2] Operation: 23-21=2
Exploring Operation: 40-21=19, Resulting Numbers: [23, 19]
Generated Node #0,1,3: 20:[23, 19] Operation: 40-21=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 20:[21, 17], Operations: ['64-41=23', '40-23=17']
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,20 unequal: No Solution
Exploring Operation: 21*17=357, Resulting Numbers: [357]
357,20 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 20:[23, 19], Operations: ['64-41=23', '40-21=19']
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,20 unequal: No Solution
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 20:[40, 2], Operations: ['64-41=23', '23-21=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[40, 64, 21, 41], Operations: []
Exploring Operation: 64-41=23, Resulting Numbers: [40, 21, 23]
Generated Node #0,1: 20:[40, 21, 23] Operation: 64-41=23
Moving to Node #0,1
Current State: 20:[40, 21, 23], Operations: ['64-41=23']
Exploring Operation: 23-21=2, Resulting Numbers: [40, 2]
Generated Node #0,1,2: 20:[40, 2] Operation: 23-21=2
Moving to Node #0,1,2
Current State: 20:[40, 2], Operations: ['64-41=23', '23-21=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
13,
1,
29,
93
] | 52 | [
"13-1=12",
"93-29=64",
"64-12=52"
] | Current State: 52:[13, 1, 29, 93], Operations: []
Exploring Operation: 13-1=12, Resulting Numbers: [29, 93, 12]
Generated Node #2: [29, 93, 12] from Operation: 13-1=12
Current State: 52:[29, 93, 12], Operations: ['13-1=12']
Exploring Operation: 93-29=64, Resulting Numbers: [12, 64]
Generated Node #3: [12, 64] from Operation: 93-29=64
Current State: 52:[12, 64], Operations: ['13-1=12', '93-29=64']
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[13, 1, 29, 93], Operations: []
Exploring Operation: 93-29=64, Resulting Numbers: [13, 1, 64]
Generated Node #0,0: 52:[13, 1, 64] Operation: 93-29=64
Moving to Node #0,0
Current State: 52:[13, 1, 64], Operations: ['93-29=64']
Exploring Operation: 64-13=51, Resulting Numbers: [1, 51]
Generated Node #0,0,0: 52:[1, 51] Operation: 64-13=51
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[1, 51], Operations: ['93-29=64', '64-13=51']
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[13, 1, 29, 93], Operations: []
Exploring Operation: 93-29=64, Resulting Numbers: [13, 1, 64]
Generated Node #0,0: 52:[13, 1, 64] Operation: 93-29=64
Moving to Node #0,0
Current State: 52:[13, 1, 64], Operations: ['93-29=64']
Exploring Operation: 64-13=51, Resulting Numbers: [1, 51]
Generated Node #0,0,0: 52:[1, 51] Operation: 64-13=51
Moving to Node #0,0,0
Current State: 52:[1, 51], Operations: ['93-29=64', '64-13=51']
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
8,
24,
4,
66
] | 84 | [
"8/4=2",
"66-24=42",
"2*42=84"
] | Current State: 84:[8, 24, 4, 66], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [24, 66, 2]
Generated Node #2: [24, 66, 2] from Operation: 8/4=2
Current State: 84:[24, 66, 2], Operations: ['8/4=2']
Exploring Operation: 66-24=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 66-24=42
Current State: 84:[2, 42], Operations: ['8/4=2', '66-24=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[8, 24, 4, 66], Operations: []
Exploring Operation: 8+66=74, Resulting Numbers: [24, 4, 74]
Generated Node #0,0: 84:[24, 4, 74] Operation: 8+66=74
Exploring Operation: 4+66=70, Resulting Numbers: [8, 24, 70]
Generated Node #0,1: 84:[8, 24, 70] Operation: 4+66=70
Exploring Operation: 66-24=42, Resulting Numbers: [8, 4, 42]
Generated Node #0,2: 84:[8, 4, 42] Operation: 66-24=42
Exploring Operation: 24/8=3, Resulting Numbers: [4, 66, 3]
Generated Node #0,3: 84:[4, 66, 3] Operation: 24/8=3
Exploring Operation: 24+66=90, Resulting Numbers: [8, 4, 90]
Generated Node #0,4: 84:[8, 4, 90] Operation: 24+66=90
Moving to Node #0,2
Current State: 84:[8, 4, 42], Operations: ['66-24=42']
Exploring Operation: 4+42=46, Resulting Numbers: [8, 46]
Generated Node #0,2,0: 84:[8, 46] Operation: 4+42=46
Exploring Operation: 8+4=12, Resulting Numbers: [42, 12]
Generated Node #0,2,1: 84:[42, 12] Operation: 8+4=12
Exploring Operation: 8-4=4, Resulting Numbers: [42, 4]
Generated Node #0,2,2: 84:[42, 4] Operation: 8-4=4
Exploring Operation: 8/4=2, Resulting Numbers: [42, 2]
Generated Node #0,2,3: 84:[42, 2] Operation: 8/4=2
Exploring Operation: 8*4=32, Resulting Numbers: [42, 32]
Generated Node #0,2,4: 84:[42, 32] Operation: 8*4=32
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 84:[42, 12], Operations: ['66-24=42', '8+4=12']
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,84 unequal: No Solution
Exploring Operation: 42*12=504, Resulting Numbers: [504]
504,84 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 84:[42, 4], Operations: ['66-24=42', '8-4=4']
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,84 unequal: No Solution
Exploring Operation: 42+4=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 42*4=168, Resulting Numbers: [168]
168,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 84:[42, 2], Operations: ['66-24=42', '8/4=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[8, 24, 4, 66], Operations: []
Exploring Operation: 66-24=42, Resulting Numbers: [8, 4, 42]
Generated Node #0,2: 84:[8, 4, 42] Operation: 66-24=42
Moving to Node #0,2
Current State: 84:[8, 4, 42], Operations: ['66-24=42']
Exploring Operation: 8/4=2, Resulting Numbers: [42, 2]
Generated Node #0,2,3: 84:[42, 2] Operation: 8/4=2
Moving to Node #0,2,3
Current State: 84:[42, 2], Operations: ['66-24=42', '8/4=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
85,
5,
75,
88
] | 86 | [
"85-75=10",
"10/5=2",
"88-2=86"
] | Current State: 86:[85, 5, 75, 88], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [5, 88, 10]
Generated Node #2: [5, 88, 10] from Operation: 85-75=10
Current State: 86:[5, 88, 10], Operations: ['85-75=10']
Exploring Operation: 10/5=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 10/5=2
Current State: 86:[88, 2], Operations: ['85-75=10', '10/5=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[85, 5, 75, 88], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [5, 75, 3]
Generated Node #0,0: 86:[5, 75, 3] Operation: 88-85=3
Exploring Operation: 88-5=83, Resulting Numbers: [85, 75, 83]
Generated Node #0,1: 86:[85, 75, 83] Operation: 88-5=83
Exploring Operation: 85-75=10, Resulting Numbers: [5, 88, 10]
Generated Node #0,2: 86:[5, 88, 10] Operation: 85-75=10
Exploring Operation: 5+75=80, Resulting Numbers: [85, 88, 80]
Generated Node #0,3: 86:[85, 88, 80] Operation: 5+75=80
Moving to Node #0,3
Current State: 86:[85, 88, 80], Operations: ['5+75=80']
Exploring Operation: 85+80=165, Resulting Numbers: [88, 165]
Generated Node #0,3,0: 86:[88, 165] Operation: 85+80=165
Exploring Operation: 85-80=5, Resulting Numbers: [88, 5]
Generated Node #0,3,1: 86:[88, 5] Operation: 85-80=5
Exploring Operation: 88-85=3, Resulting Numbers: [80, 3]
Generated Node #0,3,2: 86:[80, 3] Operation: 88-85=3
Exploring Operation: 88-80=8, Resulting Numbers: [85, 8]
Generated Node #0,3,3: 86:[85, 8] Operation: 88-80=8
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 86:[88, 5], Operations: ['5+75=80', '85-80=5']
Exploring Operation: 88+5=93, Resulting Numbers: [93]
93,86 unequal: No Solution
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,86 unequal: No Solution
Exploring Operation: 88*5=440, Resulting Numbers: [440]
440,86 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:[80, 3], Operations: ['5+75=80', '88-85=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,86 unequal: No Solution
Exploring Operation: 80*3=240, Resulting Numbers: [240]
240,86 unequal: No Solution
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,86 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:[85, 8], Operations: ['5+75=80', '88-80=8']
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,86 unequal: No Solution
Exploring Operation: 85*8=680, Resulting Numbers: [680]
680,86 unequal: No Solution
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,86 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 #0,3,0
Current State: 86:[88, 165], Operations: ['5+75=80', '85+80=165']
Exploring Operation: 165-88=77, Resulting Numbers: [77]
77,86 unequal: No Solution
Exploring Operation: 88+165=253, Resulting Numbers: [253]
253,86 unequal: No Solution
Exploring Operation: 88*165=14520, Resulting Numbers: [14520]
14520,86 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: 86:[5, 88, 10], Operations: ['85-75=10']
Exploring Operation: 5*10=50, Resulting Numbers: [88, 50]
Generated Node #0,2,0: 86:[88, 50] Operation: 5*10=50
Exploring Operation: 10/5=2, Resulting Numbers: [88, 2]
Generated Node #0,2,1: 86:[88, 2] Operation: 10/5=2
Exploring Operation: 88-5=83, Resulting Numbers: [10, 83]
Generated Node #0,2,2: 86:[10, 83] Operation: 88-5=83
Exploring Operation: 10-5=5, Resulting Numbers: [88, 5]
Generated Node #0,2,3: 86:[88, 5] Operation: 10-5=5
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 86:[88, 2], Operations: ['85-75=10', '10/5=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,86 unequal: No Solution
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[85, 5, 75, 88], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [5, 88, 10]
Generated Node #0,2: 86:[5, 88, 10] Operation: 85-75=10
Moving to Node #0,2
Current State: 86:[5, 88, 10], Operations: ['85-75=10']
Exploring Operation: 10/5=2, Resulting Numbers: [88, 2]
Generated Node #0,2,1: 86:[88, 2] Operation: 10/5=2
Moving to Node #0,2,1
Current State: 86:[88, 2], Operations: ['85-75=10', '10/5=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
49,
82,
64,
19
] | 12 | [
"82-49=33",
"64-19=45",
"45-33=12"
] | Current State: 12:[49, 82, 64, 19], Operations: []
Exploring Operation: 82-49=33, Resulting Numbers: [64, 19, 33]
Generated Node #2: [64, 19, 33] from Operation: 82-49=33
Current State: 12:[64, 19, 33], Operations: ['82-49=33']
Exploring Operation: 64-19=45, Resulting Numbers: [33, 45]
Generated Node #3: [33, 45] from Operation: 64-19=45
Current State: 12:[33, 45], Operations: ['82-49=33', '64-19=45']
Exploring Operation: 45-33=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[49, 82, 64, 19], Operations: []
Exploring Operation: 82-64=18, Resulting Numbers: [49, 19, 18]
Generated Node #0,0: 12:[49, 19, 18] Operation: 82-64=18
Exploring Operation: 82-49=33, Resulting Numbers: [64, 19, 33]
Generated Node #0,1: 12:[64, 19, 33] Operation: 82-49=33
Exploring Operation: 82-19=63, Resulting Numbers: [49, 64, 63]
Generated Node #0,2: 12:[49, 64, 63] Operation: 82-19=63
Exploring Operation: 49-19=30, Resulting Numbers: [82, 64, 30]
Generated Node #0,3: 12:[82, 64, 30] Operation: 49-19=30
Exploring Operation: 64-49=15, Resulting Numbers: [82, 19, 15]
Generated Node #0,4: 12:[82, 19, 15] Operation: 64-49=15
Moving to Node #0,0
Current State: 12:[49, 19, 18], Operations: ['82-64=18']
Exploring Operation: 49-19=30, Resulting Numbers: [18, 30]
Generated Node #0,0,0: 12:[18, 30] Operation: 49-19=30
Exploring Operation: 19-18=1, Resulting Numbers: [49, 1]
Generated Node #0,0,1: 12:[49, 1] Operation: 19-18=1
Exploring Operation: 49+18=67, Resulting Numbers: [19, 67]
Generated Node #0,0,2: 12:[19, 67] Operation: 49+18=67
Exploring Operation: 49-18=31, Resulting Numbers: [19, 31]
Generated Node #0,0,3: 12:[19, 31] Operation: 49-18=31
Exploring Operation: 49+19=68, Resulting Numbers: [18, 68]
Generated Node #0,0,4: 12:[18, 68] Operation: 49+19=68
Moving to Node #0,4
Current State: 12:[82, 19, 15], Operations: ['64-49=15']
Exploring Operation: 82+19=101, Resulting Numbers: [15, 101]
Generated Node #0,4,0: 12:[15, 101] Operation: 82+19=101
Exploring Operation: 19-15=4, Resulting Numbers: [82, 4]
Generated Node #0,4,1: 12:[82, 4] Operation: 19-15=4
Exploring Operation: 82-19=63, Resulting Numbers: [15, 63]
Generated Node #0,4,2: 12:[15, 63] Operation: 82-19=63
Exploring Operation: 82+15=97, Resulting Numbers: [19, 97]
Generated Node #0,4,3: 12:[19, 97] Operation: 82+15=97
Exploring Operation: 82-15=67, Resulting Numbers: [19, 67]
Generated Node #0,4,4: 12:[19, 67] Operation: 82-15=67
Moving to Node #0,1
Current State: 12:[64, 19, 33], Operations: ['82-49=33']
Exploring Operation: 33-19=14, Resulting Numbers: [64, 14]
Generated Node #0,1,0: 12:[64, 14] Operation: 33-19=14
Exploring Operation: 64-33=31, Resulting Numbers: [19, 31]
Generated Node #0,1,1: 12:[19, 31] Operation: 64-33=31
Exploring Operation: 64+19=83, Resulting Numbers: [33, 83]
Generated Node #0,1,2: 12:[33, 83] Operation: 64+19=83
Exploring Operation: 64-19=45, Resulting Numbers: [33, 45]
Generated Node #0,1,3: 12:[33, 45] Operation: 64-19=45
Exploring Operation: 64+33=97, Resulting Numbers: [19, 97]
Generated Node #0,1,4: 12:[19, 97] Operation: 64+33=97
Moving to Node #0,2
Current State: 12:[49, 64, 63], Operations: ['82-19=63']
Exploring Operation: 63-49=14, Resulting Numbers: [64, 14]
Generated Node #0,2,0: 12:[64, 14] Operation: 63-49=14
Exploring Operation: 64-49=15, Resulting Numbers: [63, 15]
Generated Node #0,2,1: 12:[63, 15] Operation: 64-49=15
Exploring Operation: 49+64=113, Resulting Numbers: [63, 113]
Generated Node #0,2,2: 12:[63, 113] Operation: 49+64=113
Exploring Operation: 64-63=1, Resulting Numbers: [49, 1]
Generated Node #0,2,3: 12:[49, 1] Operation: 64-63=1
Exploring Operation: 49+63=112, Resulting Numbers: [64, 112]
Generated Node #0,2,4: 12:[64, 112] Operation: 49+63=112
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 12:[49, 1], Operations: ['82-19=63', '64-63=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,12 unequal: No Solution
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 12:[64, 14], Operations: ['82-19=63', '63-49=14']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,12 unequal: No Solution
Exploring Operation: 64+14=78, Resulting Numbers: [78]
78,12 unequal: No Solution
Exploring Operation: 64*14=896, Resulting Numbers: [896]
896,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 12:[63, 15], Operations: ['82-19=63', '64-49=15']
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,12 unequal: No Solution
Exploring Operation: 63*15=945, Resulting Numbers: [945]
945,12 unequal: No Solution
Exploring Operation: 63+15=78, Resulting Numbers: [78]
78,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 12:[63, 113], Operations: ['82-19=63', '49+64=113']
Exploring Operation: 113-63=50, Resulting Numbers: [50]
50,12 unequal: No Solution
Exploring Operation: 63+113=176, Resulting Numbers: [176]
176,12 unequal: No Solution
Exploring Operation: 63*113=7119, Resulting Numbers: [7119]
7119,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 12:[64, 112], Operations: ['82-19=63', '49+63=112']
Exploring Operation: 64+112=176, Resulting Numbers: [176]
176,12 unequal: No Solution
Exploring Operation: 112-64=48, Resulting Numbers: [48]
48,12 unequal: No Solution
Exploring Operation: 64*112=7168, Resulting Numbers: [7168]
7168,12 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: 12:[82, 64, 30], Operations: ['49-19=30']
Exploring Operation: 82+64=146, Resulting Numbers: [30, 146]
Generated Node #0,3,0: 12:[30, 146] Operation: 82+64=146
Exploring Operation: 82-64=18, Resulting Numbers: [30, 18]
Generated Node #0,3,1: 12:[30, 18] Operation: 82-64=18
Exploring Operation: 82-30=52, Resulting Numbers: [64, 52]
Generated Node #0,3,2: 12:[64, 52] Operation: 82-30=52
Exploring Operation: 64-30=34, Resulting Numbers: [82, 34]
Generated Node #0,3,3: 12:[82, 34] Operation: 64-30=34
Exploring Operation: 82+30=112, Resulting Numbers: [64, 112]
Generated Node #0,3,4: 12:[64, 112] Operation: 82+30=112
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 12:[30, 18], Operations: ['49-19=30', '82-64=18']
Exploring Operation: 30*18=540, Resulting Numbers: [540]
540,12 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[49, 82, 64, 19], Operations: []
Exploring Operation: 49-19=30, Resulting Numbers: [82, 64, 30]
Generated Node #0,3: 12:[82, 64, 30] Operation: 49-19=30
Moving to Node #0,3
Current State: 12:[82, 64, 30], Operations: ['49-19=30']
Exploring Operation: 82-64=18, Resulting Numbers: [30, 18]
Generated Node #0,3,1: 12:[30, 18] Operation: 82-64=18
Moving to Node #0,3,1
Current State: 12:[30, 18], Operations: ['49-19=30', '82-64=18']
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 | hs_5 | mult_heuristic |
[
24,
90,
3,
1
] | 82 | [
"24/3=8",
"90*1=90",
"90-8=82"
] | Current State: 82:[24, 90, 3, 1], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [90, 1, 8]
Generated Node #2: [90, 1, 8] from Operation: 24/3=8
Current State: 82:[90, 1, 8], Operations: ['24/3=8']
Exploring Operation: 90*1=90, Resulting Numbers: [8, 90]
Generated Node #3: [8, 90] from Operation: 90*1=90
Current State: 82:[8, 90], Operations: ['24/3=8', '90*1=90']
Exploring Operation: 90-8=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[24, 90, 3, 1], Operations: []
Exploring Operation: 90-24=66, Resulting Numbers: [3, 1, 66]
Generated Node #0,0: 82:[3, 1, 66] Operation: 90-24=66
Exploring Operation: 24/3=8, Resulting Numbers: [90, 1, 8]
Generated Node #0,1: 82:[90, 1, 8] Operation: 24/3=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[90, 1, 8], Operations: ['24/3=8']
Exploring Operation: 90-1=89, Resulting Numbers: [8, 89]
Generated Node #0,1,0: 82:[8, 89] Operation: 90-1=89
Exploring Operation: 90-8=82, Resulting Numbers: [1, 82]
Generated Node #0,1,1: 82:[1, 82] Operation: 90-8=82
Moving to Node #0,1,1
Current State: 82:[1, 82], Operations: ['24/3=8', '90-8=82']
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[24, 90, 3, 1], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [90, 1, 8]
Generated Node #0,1: 82:[90, 1, 8] Operation: 24/3=8
Moving to Node #0,1
Current State: 82:[90, 1, 8], Operations: ['24/3=8']
Exploring Operation: 90-8=82, Resulting Numbers: [1, 82]
Generated Node #0,1,1: 82:[1, 82] Operation: 90-8=82
Moving to Node #0,1,1
Current State: 82:[1, 82], Operations: ['24/3=8', '90-8=82']
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
81,
8,
95,
9
] | 54 | [
"81+8=89",
"95-89=6",
"9*6=54"
] | Current State: 54:[81, 8, 95, 9], Operations: []
Exploring Operation: 81+8=89, Resulting Numbers: [95, 9, 89]
Generated Node #2: [95, 9, 89] from Operation: 81+8=89
Current State: 54:[95, 9, 89], Operations: ['81+8=89']
Exploring Operation: 95-89=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 95-89=6
Current State: 54:[9, 6], Operations: ['81+8=89', '95-89=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[81, 8, 95, 9], Operations: []
Exploring Operation: 95-81=14, Resulting Numbers: [8, 9, 14]
Generated Node #0,0: 54:[8, 9, 14] Operation: 95-81=14
Moving to Node #0,0
Current State: 54:[8, 9, 14], Operations: ['95-81=14']
Exploring Operation: 14-8=6, Resulting Numbers: [9, 6]
Generated Node #0,0,0: 54:[9, 6] Operation: 14-8=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[9, 6], Operations: ['95-81=14', '14-8=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[81, 8, 95, 9], Operations: []
Exploring Operation: 95-81=14, Resulting Numbers: [8, 9, 14]
Generated Node #0,0: 54:[8, 9, 14] Operation: 95-81=14
Moving to Node #0,0
Current State: 54:[8, 9, 14], Operations: ['95-81=14']
Exploring Operation: 14-8=6, Resulting Numbers: [9, 6]
Generated Node #0,0,0: 54:[9, 6] Operation: 14-8=6
Moving to Node #0,0,0
Current State: 54:[9, 6], Operations: ['95-81=14', '14-8=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
98,
83,
66,
14
] | 24 | [
"98/14=7",
"83-66=17",
"7+17=24"
] | Current State: 24:[98, 83, 66, 14], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [83, 66, 7]
Generated Node #2: [83, 66, 7] from Operation: 98/14=7
Current State: 24:[83, 66, 7], Operations: ['98/14=7']
Exploring Operation: 83-66=17, Resulting Numbers: [7, 17]
Generated Node #3: [7, 17] from Operation: 83-66=17
Current State: 24:[7, 17], Operations: ['98/14=7', '83-66=17']
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[98, 83, 66, 14], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [98, 14, 17]
Generated Node #0,0: 24:[98, 14, 17] Operation: 83-66=17
Exploring Operation: 98-83=15, Resulting Numbers: [66, 14, 15]
Generated Node #0,1: 24:[66, 14, 15] Operation: 98-83=15
Exploring Operation: 98-66=32, Resulting Numbers: [83, 14, 32]
Generated Node #0,2: 24:[83, 14, 32] Operation: 98-66=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[66, 14, 15], Operations: ['98-83=15']
Exploring Operation: 15-14=1, Resulting Numbers: [66, 1]
Generated Node #0,1,0: 24:[66, 1] Operation: 15-14=1
Exploring Operation: 66-15=51, Resulting Numbers: [14, 51]
Generated Node #0,1,1: 24:[14, 51] Operation: 66-15=51
Exploring Operation: 66-14=52, Resulting Numbers: [15, 52]
Generated Node #0,1,2: 24:[15, 52] Operation: 66-14=52
Moving to Node #0,1,1
Current State: 24:[14, 51], Operations: ['98-83=15', '66-15=51']
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 14+51=65, Resulting Numbers: [65]
65,24 unequal: No Solution
Exploring Operation: 14*51=714, Resulting Numbers: [714]
714,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[15, 52], Operations: ['98-83=15', '66-14=52']
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 15*52=780, Resulting Numbers: [780]
780,24 unequal: No Solution
Exploring Operation: 15+52=67, Resulting Numbers: [67]
67,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[66, 1], Operations: ['98-83=15', '15-14=1']
Exploring Operation: 66/1=66, Resulting Numbers: [66]
66,24 unequal: No Solution
Exploring Operation: 66*1=66, Resulting Numbers: [66]
66,24 unequal: No Solution
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,24 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
Current State: 24:[83, 14, 32], Operations: ['98-66=32']
Exploring Operation: 32-14=18, Resulting Numbers: [83, 18]
Generated Node #0,2,0: 24:[83, 18] Operation: 32-14=18
Exploring Operation: 83-14=69, Resulting Numbers: [32, 69]
Generated Node #0,2,1: 24:[32, 69] Operation: 83-14=69
Exploring Operation: 83-32=51, Resulting Numbers: [14, 51]
Generated Node #0,2,2: 24:[14, 51] Operation: 83-32=51
Moving to Node #0,2,2
Current State: 24:[14, 51], Operations: ['98-66=32', '83-32=51']
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 14+51=65, Resulting Numbers: [65]
65,24 unequal: No Solution
Exploring Operation: 14*51=714, Resulting Numbers: [714]
714,24 unequal: No Solution
Moving to Node #0,2,1
Current State: 24:[32, 69], Operations: ['98-66=32', '83-14=69']
Exploring Operation: 32+69=101, Resulting Numbers: [101]
101,24 unequal: No Solution
Exploring Operation: 32*69=2208, Resulting Numbers: [2208]
2208,24 unequal: No Solution
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Moving to Node #0,2,0
Current State: 24:[83, 18], Operations: ['98-66=32', '32-14=18']
Exploring Operation: 83-18=65, Resulting Numbers: [65]
65,24 unequal: No Solution
Exploring Operation: 83+18=101, Resulting Numbers: [101]
101,24 unequal: No Solution
Exploring Operation: 83*18=1494, Resulting Numbers: [1494]
1494,24 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
Current State: 24:[98, 14, 17], Operations: ['83-66=17']
Exploring Operation: 98-14=84, Resulting Numbers: [17, 84]
Generated Node #0,0,0: 24:[17, 84] Operation: 98-14=84
Exploring Operation: 98-17=81, Resulting Numbers: [14, 81]
Generated Node #0,0,1: 24:[14, 81] Operation: 98-17=81
Exploring Operation: 98/14=7, Resulting Numbers: [17, 7]
Generated Node #0,0,2: 24:[17, 7] Operation: 98/14=7
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 24:[17, 7], Operations: ['83-66=17', '98/14=7']
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[98, 83, 66, 14], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [98, 14, 17]
Generated Node #0,0: 24:[98, 14, 17] Operation: 83-66=17
Moving to Node #0,0
Current State: 24:[98, 14, 17], Operations: ['83-66=17']
Exploring Operation: 98/14=7, Resulting Numbers: [17, 7]
Generated Node #0,0,2: 24:[17, 7] Operation: 98/14=7
Moving to Node #0,0,2
Current State: 24:[17, 7], Operations: ['83-66=17', '98/14=7']
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
46,
13,
5,
27
] | 91 | [
"46+13=59",
"5+27=32",
"59+32=91"
] | Current State: 91:[46, 13, 5, 27], Operations: []
Exploring Operation: 46+13=59, Resulting Numbers: [5, 27, 59]
Generated Node #2: [5, 27, 59] from Operation: 46+13=59
Current State: 91:[5, 27, 59], Operations: ['46+13=59']
Exploring Operation: 5+27=32, Resulting Numbers: [59, 32]
Generated Node #3: [59, 32] from Operation: 5+27=32
Current State: 91:[59, 32], Operations: ['46+13=59', '5+27=32']
Exploring Operation: 59+32=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[46, 13, 5, 27], Operations: []
Exploring Operation: 46-5=41, Resulting Numbers: [13, 27, 41]
Generated Node #0,0: 91:[13, 27, 41] Operation: 46-5=41
Exploring Operation: 46-27=19, Resulting Numbers: [13, 5, 19]
Generated Node #0,1: 91:[13, 5, 19] Operation: 46-27=19
Exploring Operation: 46-13=33, Resulting Numbers: [5, 27, 33]
Generated Node #0,2: 91:[5, 27, 33] Operation: 46-13=33
Exploring Operation: 46+27=73, Resulting Numbers: [13, 5, 73]
Generated Node #0,3: 91:[13, 5, 73] Operation: 46+27=73
Exploring Operation: 27-13=14, Resulting Numbers: [46, 5, 14]
Generated Node #0,4: 91:[46, 5, 14] Operation: 27-13=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[13, 5, 19], Operations: ['46-27=19']
Exploring Operation: 5*19=95, Resulting Numbers: [13, 95]
Generated Node #0,1,0: 91:[13, 95] Operation: 5*19=95
Exploring Operation: 19-5=14, Resulting Numbers: [13, 14]
Generated Node #0,1,1: 91:[13, 14] Operation: 19-5=14
Exploring Operation: 13+5=18, Resulting Numbers: [19, 18]
Generated Node #0,1,2: 91:[19, 18] Operation: 13+5=18
Exploring Operation: 13-5=8, Resulting Numbers: [19, 8]
Generated Node #0,1,3: 91:[19, 8] Operation: 13-5=8
Exploring Operation: 19-13=6, Resulting Numbers: [5, 6]
Generated Node #0,1,4: 91:[5, 6] Operation: 19-13=6
Moving to Node #0,1,1
Current State: 91:[13, 14], Operations: ['46-27=19', '19-5=14']
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,91 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Moving to Node #0,1,4
Current State: 91:[5, 6], Operations: ['46-27=19', '19-13=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,91 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[13, 95], Operations: ['46-27=19', '5*19=95']
Exploring Operation: 13+95=108, Resulting Numbers: [108]
108,91 unequal: No Solution
Exploring Operation: 13*95=1235, Resulting Numbers: [1235]
1235,91 unequal: No Solution
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,91 unequal: No Solution
Moving to Node #0,1,3
Current State: 91:[19, 8], Operations: ['46-27=19', '13-5=8']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Exploring Operation: 19+8=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Exploring Operation: 19*8=152, Resulting Numbers: [152]
152,91 unequal: No Solution
Moving to Node #0,1,2
Current State: 91:[19, 18], Operations: ['46-27=19', '13+5=18']
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,91 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,91 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 #0,3
Current State: 91:[13, 5, 73], Operations: ['46+27=73']
Exploring Operation: 5+73=78, Resulting Numbers: [13, 78]
Generated Node #0,3,0: 91:[13, 78] Operation: 5+73=78
Exploring Operation: 73-5=68, Resulting Numbers: [13, 68]
Generated Node #0,3,1: 91:[13, 68] Operation: 73-5=68
Exploring Operation: 13+73=86, Resulting Numbers: [5, 86]
Generated Node #0,3,2: 91:[5, 86] Operation: 13+73=86
Exploring Operation: 13-5=8, Resulting Numbers: [73, 8]
Generated Node #0,3,3: 91:[73, 8] Operation: 13-5=8
Exploring Operation: 13+5=18, Resulting Numbers: [73, 18]
Generated Node #0,3,4: 91:[73, 18] Operation: 13+5=18
Moving to Node #0,3,2
Current State: 91:[5, 86], Operations: ['46+27=73', '13+73=86']
Exploring Operation: 5*86=430, Resulting Numbers: [430]
430,91 unequal: No Solution
Exploring Operation: 5+86=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[46, 13, 5, 27], Operations: []
Exploring Operation: 46+27=73, Resulting Numbers: [13, 5, 73]
Generated Node #0,3: 91:[13, 5, 73] Operation: 46+27=73
Moving to Node #0,3
Current State: 91:[13, 5, 73], Operations: ['46+27=73']
Exploring Operation: 13+73=86, Resulting Numbers: [5, 86]
Generated Node #0,3,2: 91:[5, 86] Operation: 13+73=86
Moving to Node #0,3,2
Current State: 91:[5, 86], Operations: ['46+27=73', '13+73=86']
Exploring Operation: 5+86=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
82,
77,
72,
38
] | 36 | [
"82+72=154",
"154/77=2",
"38-2=36"
] | Current State: 36:[82, 77, 72, 38], Operations: []
Exploring Operation: 82+72=154, Resulting Numbers: [77, 38, 154]
Generated Node #2: [77, 38, 154] from Operation: 82+72=154
Current State: 36:[77, 38, 154], Operations: ['82+72=154']
Exploring Operation: 154/77=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 154/77=2
Current State: 36:[38, 2], Operations: ['82+72=154', '154/77=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[82, 77, 72, 38], Operations: []
Exploring Operation: 82-77=5, Resulting Numbers: [72, 38, 5]
Generated Node #0,0: 36:[72, 38, 5] Operation: 82-77=5
Moving to Node #0,0
Current State: 36:[72, 38, 5], Operations: ['82-77=5']
Exploring Operation: 72-38=34, Resulting Numbers: [5, 34]
Generated Node #0,0,0: 36:[5, 34] Operation: 72-38=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[5, 34], Operations: ['82-77=5', '72-38=34']
Exploring Operation: 5+34=39, Resulting Numbers: [39]
39,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
6,
2,
28,
29
] | 11 | [
"6*2=12",
"29-28=1",
"12-1=11"
] | Current State: 11:[6, 2, 28, 29], Operations: []
Exploring Operation: 6*2=12, Resulting Numbers: [28, 29, 12]
Generated Node #2: [28, 29, 12] from Operation: 6*2=12
Current State: 11:[28, 29, 12], Operations: ['6*2=12']
Exploring Operation: 29-28=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 29-28=1
Current State: 11:[12, 1], Operations: ['6*2=12', '29-28=1']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[6, 2, 28, 29], Operations: []
Exploring Operation: 29-28=1, Resulting Numbers: [6, 2, 1]
Generated Node #0,0: 11:[6, 2, 1] Operation: 29-28=1
Moving to Node #0,0
Current State: 11:[6, 2, 1], Operations: ['29-28=1']
Exploring Operation: 6*2=12, Resulting Numbers: [1, 12]
Generated Node #0,0,0: 11:[1, 12] Operation: 6*2=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[1, 12], Operations: ['29-28=1', '6*2=12']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[6, 2, 28, 29], Operations: []
Exploring Operation: 29-28=1, Resulting Numbers: [6, 2, 1]
Generated Node #0,0: 11:[6, 2, 1] Operation: 29-28=1
Moving to Node #0,0
Current State: 11:[6, 2, 1], Operations: ['29-28=1']
Exploring Operation: 6*2=12, Resulting Numbers: [1, 12]
Generated Node #0,0,0: 11:[1, 12] Operation: 6*2=12
Moving to Node #0,0,0
Current State: 11:[1, 12], Operations: ['29-28=1', '6*2=12']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
70,
12,
24,
26
] | 64 | [
"26-24=2",
"12/2=6",
"70-6=64"
] | Current State: 64:[70, 12, 24, 26], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [70, 12, 2]
Generated Node #2: [70, 12, 2] from Operation: 26-24=2
Current State: 64:[70, 12, 2], Operations: ['26-24=2']
Exploring Operation: 12/2=6, Resulting Numbers: [70, 6]
Generated Node #3: [70, 6] from Operation: 12/2=6
Current State: 64:[70, 6], Operations: ['26-24=2', '12/2=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[70, 12, 24, 26], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [70, 12, 2]
Generated Node #0,0: 64:[70, 12, 2] Operation: 26-24=2
Moving to Node #0,0
Current State: 64:[70, 12, 2], Operations: ['26-24=2']
Exploring Operation: 70-12=58, Resulting Numbers: [2, 58]
Generated Node #0,0,0: 64:[2, 58] Operation: 70-12=58
Moving to Node #0,0,0
Current State: 64:[2, 58], Operations: ['26-24=2', '70-12=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,64 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
5,
89,
88,
26
] | 30 | [
"89-5=84",
"88+26=114",
"114-84=30"
] | Current State: 30:[5, 89, 88, 26], Operations: []
Exploring Operation: 89-5=84, Resulting Numbers: [88, 26, 84]
Generated Node #2: [88, 26, 84] from Operation: 89-5=84
Current State: 30:[88, 26, 84], Operations: ['89-5=84']
Exploring Operation: 88+26=114, Resulting Numbers: [84, 114]
Generated Node #3: [84, 114] from Operation: 88+26=114
Current State: 30:[84, 114], Operations: ['89-5=84', '88+26=114']
Exploring Operation: 114-84=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[5, 89, 88, 26], Operations: []
Exploring Operation: 89-26=63, Resulting Numbers: [5, 88, 63]
Generated Node #0,0: 30:[5, 88, 63] Operation: 89-26=63
Exploring Operation: 89-88=1, Resulting Numbers: [5, 26, 1]
Generated Node #0,1: 30:[5, 26, 1] Operation: 89-88=1
Exploring Operation: 88-26=62, Resulting Numbers: [5, 89, 62]
Generated Node #0,2: 30:[5, 89, 62] Operation: 88-26=62
Moving to Node #0,1
Current State: 30:[5, 26, 1], Operations: ['89-88=1']
Exploring Operation: 5+26=31, Resulting Numbers: [1, 31]
Generated Node #0,1,0: 30:[1, 31] Operation: 5+26=31
Exploring Operation: 5+1=6, Resulting Numbers: [26, 6]
Generated Node #0,1,1: 30:[26, 6] Operation: 5+1=6
Exploring Operation: 26+1=27, Resulting Numbers: [5, 27]
Generated Node #0,1,2: 30:[5, 27] Operation: 26+1=27
Moving to Node #0,0
Current State: 30:[5, 88, 63], Operations: ['89-26=63']
Exploring Operation: 88-5=83, Resulting Numbers: [63, 83]
Generated Node #0,0,0: 30:[63, 83] Operation: 88-5=83
Exploring Operation: 63-5=58, Resulting Numbers: [88, 58]
Generated Node #0,0,1: 30:[88, 58] Operation: 63-5=58
Exploring Operation: 88-63=25, Resulting Numbers: [5, 25]
Generated Node #0,0,2: 30:[5, 25] Operation: 88-63=25
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 30:[5, 25], Operations: ['89-26=63', '88-63=25']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[5, 89, 88, 26], Operations: []
Exploring Operation: 89-26=63, Resulting Numbers: [5, 88, 63]
Generated Node #0,0: 30:[5, 88, 63] Operation: 89-26=63
Moving to Node #0,0
Current State: 30:[5, 88, 63], Operations: ['89-26=63']
Exploring Operation: 88-63=25, Resulting Numbers: [5, 25]
Generated Node #0,0,2: 30:[5, 25] Operation: 88-63=25
Moving to Node #0,0,2
Current State: 30:[5, 25], Operations: ['89-26=63', '88-63=25']
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
70,
59,
56,
2
] | 32 | [
"70/2=35",
"59-56=3",
"35-3=32"
] | Current State: 32:[70, 59, 56, 2], Operations: []
Exploring Operation: 70/2=35, Resulting Numbers: [59, 56, 35]
Generated Node #2: [59, 56, 35] from Operation: 70/2=35
Current State: 32:[59, 56, 35], Operations: ['70/2=35']
Exploring Operation: 59-56=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 59-56=3
Current State: 32:[35, 3], Operations: ['70/2=35', '59-56=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[70, 59, 56, 2], Operations: []
Exploring Operation: 70-59=11, Resulting Numbers: [56, 2, 11]
Generated Node #0,0: 32:[56, 2, 11] Operation: 70-59=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[56, 2, 11], Operations: ['70-59=11']
Exploring Operation: 56/2=28, Resulting Numbers: [11, 28]
Generated Node #0,0,0: 32:[11, 28] Operation: 56/2=28
Moving to Node #0,0,0
Current State: 32:[11, 28], Operations: ['70-59=11', '56/2=28']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,32 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 |
[
24,
79,
26,
79
] | 51 | [
"24+26=50",
"79/79=1",
"50+1=51"
] | Current State: 51:[24, 79, 26, 79], Operations: []
Exploring Operation: 24+26=50, Resulting Numbers: [79, 79, 50]
Generated Node #2: [79, 79, 50] from Operation: 24+26=50
Current State: 51:[79, 79, 50], Operations: ['24+26=50']
Exploring Operation: 79/79=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 79/79=1
Current State: 51:[50, 1], Operations: ['24+26=50', '79/79=1']
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[24, 79, 26, 79], Operations: []
Exploring Operation: 79/79=1, Resulting Numbers: [24, 26, 1]
Generated Node #0,0: 51:[24, 26, 1] Operation: 79/79=1
Exploring Operation: 79-26=53, Resulting Numbers: [24, 79, 53]
Generated Node #0,1: 51:[24, 79, 53] Operation: 79-26=53
Exploring Operation: 79-26=53, Resulting Numbers: [24, 79, 53]
Generated Node #0,2: 51:[24, 79, 53] Operation: 79-26=53
Exploring Operation: 79-79=0, Resulting Numbers: [24, 26, 0]
Generated Node #0,3: 51:[24, 26, 0] Operation: 79-79=0
Moving to Node #0,0
Current State: 51:[24, 26, 1], Operations: ['79/79=1']
Exploring Operation: 24+26=50, Resulting Numbers: [1, 50]
Generated Node #0,0,0: 51:[1, 50] Operation: 24+26=50
Exploring Operation: 26-1=25, Resulting Numbers: [24, 25]
Generated Node #0,0,1: 51:[24, 25] Operation: 26-1=25
Exploring Operation: 26-24=2, Resulting Numbers: [1, 2]
Generated Node #0,0,2: 51:[1, 2] Operation: 26-24=2
Exploring Operation: 24-1=23, Resulting Numbers: [26, 23]
Generated Node #0,0,3: 51:[26, 23] Operation: 24-1=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[1, 50], Operations: ['79/79=1', '24+26=50']
Exploring Operation: 1*50=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Exploring Operation: 1+50=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[24, 79, 26, 79], Operations: []
Exploring Operation: 79/79=1, Resulting Numbers: [24, 26, 1]
Generated Node #0,0: 51:[24, 26, 1] Operation: 79/79=1
Moving to Node #0,0
Current State: 51:[24, 26, 1], Operations: ['79/79=1']
Exploring Operation: 24+26=50, Resulting Numbers: [1, 50]
Generated Node #0,0,0: 51:[1, 50] Operation: 24+26=50
Moving to Node #0,0,0
Current State: 51:[1, 50], Operations: ['79/79=1', '24+26=50']
Exploring Operation: 1+50=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
55,
7,
96,
34
] | 99 | [
"55-34=21",
"21/7=3",
"96+3=99"
] | Current State: 99:[55, 7, 96, 34], Operations: []
Exploring Operation: 55-34=21, Resulting Numbers: [7, 96, 21]
Generated Node #2: [7, 96, 21] from Operation: 55-34=21
Current State: 99:[7, 96, 21], Operations: ['55-34=21']
Exploring Operation: 21/7=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 21/7=3
Current State: 99:[96, 3], Operations: ['55-34=21', '21/7=3']
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[55, 7, 96, 34], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [7, 34, 41]
Generated Node #0,0: 99:[7, 34, 41] Operation: 96-55=41
Exploring Operation: 55-34=21, Resulting Numbers: [7, 96, 21]
Generated Node #0,1: 99:[7, 96, 21] Operation: 55-34=21
Exploring Operation: 55-7=48, Resulting Numbers: [96, 34, 48]
Generated Node #0,2: 99:[96, 34, 48] Operation: 55-7=48
Exploring Operation: 55+34=89, Resulting Numbers: [7, 96, 89]
Generated Node #0,3: 99:[7, 96, 89] Operation: 55+34=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[7, 34, 41], Operations: ['96-55=41']
Exploring Operation: 34-7=27, Resulting Numbers: [41, 27]
Generated Node #0,0,0: 99:[41, 27] Operation: 34-7=27
Exploring Operation: 41-7=34, Resulting Numbers: [34, 34]
Generated Node #0,0,1: 99:[34, 34] Operation: 41-7=34
Exploring Operation: 41-34=7, Resulting Numbers: [7, 7]
Generated Node #0,0,2: 99:[7, 7] Operation: 41-34=7
Exploring Operation: 7+34=41, Resulting Numbers: [41, 41]
Generated Node #0,0,3: 99:[41, 41] Operation: 7+34=41
Moving to Node #0,0,1
Current State: 99:[34, 34], Operations: ['96-55=41', '41-7=34']
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,99 unequal: No Solution
Exploring Operation: 34*34=1156, Resulting Numbers: [1156]
1156,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[7, 7], Operations: ['96-55=41', '41-34=7']
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,99 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[41, 27], Operations: ['96-55=41', '34-7=27']
Exploring Operation: 41+27=68, Resulting Numbers: [68]
68,99 unequal: No Solution
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,99 unequal: No Solution
Exploring Operation: 41*27=1107, Resulting Numbers: [1107]
1107,99 unequal: No Solution
Moving to Node #0,0,3
Current State: 99:[41, 41], Operations: ['96-55=41', '7+34=41']
Exploring Operation: 41+41=82, Resulting Numbers: [82]
82,99 unequal: No Solution
Exploring Operation: 41*41=1681, Resulting Numbers: [1681]
1681,99 unequal: No Solution
Exploring Operation: 41-41=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 41/41=1, Resulting Numbers: [1]
1,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[7, 96, 21], Operations: ['55-34=21']
Exploring Operation: 21/7=3, Resulting Numbers: [96, 3]
Generated Node #0,1,0: 99:[96, 3] Operation: 21/7=3
Exploring Operation: 21-7=14, Resulting Numbers: [96, 14]
Generated Node #0,1,1: 99:[96, 14] Operation: 21-7=14
Exploring Operation: 7+96=103, Resulting Numbers: [21, 103]
Generated Node #0,1,2: 99:[21, 103] Operation: 7+96=103
Exploring Operation: 7+21=28, Resulting Numbers: [96, 28]
Generated Node #0,1,3: 99:[96, 28] Operation: 7+21=28
Moving to Node #0,1,0
Current State: 99:[96, 3], Operations: ['55-34=21', '21/7=3']
Exploring Operation: 96*3=288, Resulting Numbers: [288]
288,99 unequal: No Solution
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,99 unequal: No Solution
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[55, 7, 96, 34], Operations: []
Exploring Operation: 55-34=21, Resulting Numbers: [7, 96, 21]
Generated Node #0,1: 99:[7, 96, 21] Operation: 55-34=21
Moving to Node #0,1
Current State: 99:[7, 96, 21], Operations: ['55-34=21']
Exploring Operation: 21/7=3, Resulting Numbers: [96, 3]
Generated Node #0,1,0: 99:[96, 3] Operation: 21/7=3
Moving to Node #0,1,0
Current State: 99:[96, 3], Operations: ['55-34=21', '21/7=3']
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | mult_heuristic |
[
71,
79,
68,
21
] | 97 | [
"79-71=8",
"68+21=89",
"8+89=97"
] | Current State: 97:[71, 79, 68, 21], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [68, 21, 8]
Generated Node #2: [68, 21, 8] from Operation: 79-71=8
Current State: 97:[68, 21, 8], Operations: ['79-71=8']
Exploring Operation: 68+21=89, Resulting Numbers: [8, 89]
Generated Node #3: [8, 89] from Operation: 68+21=89
Current State: 97:[8, 89], Operations: ['79-71=8', '68+21=89']
Exploring Operation: 8+89=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[71, 79, 68, 21], Operations: []
Exploring Operation: 79+21=100, Resulting Numbers: [71, 68, 100]
Generated Node #0,0: 97:[71, 68, 100] Operation: 79+21=100
Exploring Operation: 68+21=89, Resulting Numbers: [71, 79, 89]
Generated Node #0,1: 97:[71, 79, 89] Operation: 68+21=89
Exploring Operation: 71+21=92, Resulting Numbers: [79, 68, 92]
Generated Node #0,2: 97:[79, 68, 92] Operation: 71+21=92
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[71, 79, 89], Operations: ['68+21=89']
Exploring Operation: 71+79=150, Resulting Numbers: [89, 150]
Generated Node #0,1,0: 97:[89, 150] Operation: 71+79=150
Exploring Operation: 71+89=160, Resulting Numbers: [79, 160]
Generated Node #0,1,1: 97:[79, 160] Operation: 71+89=160
Exploring Operation: 79-71=8, Resulting Numbers: [89, 8]
Generated Node #0,1,2: 97:[89, 8] Operation: 79-71=8
Moving to Node #0,1,0
Current State: 97:[89, 150], Operations: ['68+21=89', '71+79=150']
Exploring Operation: 150-89=61, Resulting Numbers: [61]
61,97 unequal: No Solution
Exploring Operation: 89*150=13350, Resulting Numbers: [13350]
13350,97 unequal: No Solution
Exploring Operation: 89+150=239, Resulting Numbers: [239]
239,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[79, 160], Operations: ['68+21=89', '71+89=160']
Exploring Operation: 79+160=239, Resulting Numbers: [239]
239,97 unequal: No Solution
Exploring Operation: 160-79=81, Resulting Numbers: [81]
81,97 unequal: No Solution
Exploring Operation: 79*160=12640, Resulting Numbers: [12640]
12640,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[89, 8], Operations: ['68+21=89', '79-71=8']
Exploring Operation: 89*8=712, Resulting Numbers: [712]
712,97 unequal: No Solution
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[71, 79, 68, 21], Operations: []
Exploring Operation: 68+21=89, Resulting Numbers: [71, 79, 89]
Generated Node #0,1: 97:[71, 79, 89] Operation: 68+21=89
Moving to Node #0,1
Current State: 97:[71, 79, 89], Operations: ['68+21=89']
Exploring Operation: 79-71=8, Resulting Numbers: [89, 8]
Generated Node #0,1,2: 97:[89, 8] Operation: 79-71=8
Moving to Node #0,1,2
Current State: 97:[89, 8], Operations: ['68+21=89', '79-71=8']
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
88,
22,
3,
82
] | 70 | [
"88/22=4",
"3*4=12",
"82-12=70"
] | Current State: 70:[88, 22, 3, 82], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [3, 82, 4]
Generated Node #2: [3, 82, 4] from Operation: 88/22=4
Current State: 70:[3, 82, 4], Operations: ['88/22=4']
Exploring Operation: 3*4=12, Resulting Numbers: [82, 12]
Generated Node #3: [82, 12] from Operation: 3*4=12
Current State: 70:[82, 12], Operations: ['88/22=4', '3*4=12']
Exploring Operation: 82-12=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[88, 22, 3, 82], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [22, 3, 6]
Generated Node #0,0: 70:[22, 3, 6] Operation: 88-82=6
Exploring Operation: 88/22=4, Resulting Numbers: [3, 82, 4]
Generated Node #0,1: 70:[3, 82, 4] Operation: 88/22=4
Exploring Operation: 88-22=66, Resulting Numbers: [3, 82, 66]
Generated Node #0,2: 70:[3, 82, 66] Operation: 88-22=66
Exploring Operation: 82-22=60, Resulting Numbers: [88, 3, 60]
Generated Node #0,3: 70:[88, 3, 60] Operation: 82-22=60
Moving to Node #0,0
Current State: 70:[22, 3, 6], Operations: ['88-82=6']
Exploring Operation: 22-6=16, Resulting Numbers: [3, 16]
Generated Node #0,0,0: 70:[3, 16] Operation: 22-6=16
Exploring Operation: 22-3=19, Resulting Numbers: [6, 19]
Generated Node #0,0,1: 70:[6, 19] Operation: 22-3=19
Exploring Operation: 22+6=28, Resulting Numbers: [3, 28]
Generated Node #0,0,2: 70:[3, 28] Operation: 22+6=28
Exploring Operation: 22*3=66, Resulting Numbers: [6, 66]
Generated Node #0,0,3: 70:[6, 66] Operation: 22*3=66
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[3, 16], Operations: ['88-82=6', '22-6=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,70 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 70:[6, 66], Operations: ['88-82=6', '22*3=66']
Exploring Operation: 6*66=396, Resulting Numbers: [396]
396,70 unequal: No Solution
Exploring Operation: 6+66=72, Resulting Numbers: [72]
72,70 unequal: No Solution
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[6, 19], Operations: ['88-82=6', '22-3=19']
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,70 unequal: No Solution
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,70 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[3, 28], Operations: ['88-82=6', '22+6=28']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,70 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,70 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 70:[3, 82, 4], Operations: ['88/22=4']
Exploring Operation: 3+4=7, Resulting Numbers: [82, 7]
Generated Node #0,1,0: 70:[82, 7] Operation: 3+4=7
Exploring Operation: 4-3=1, Resulting Numbers: [82, 1]
Generated Node #0,1,1: 70:[82, 1] Operation: 4-3=1
Exploring Operation: 82-4=78, Resulting Numbers: [3, 78]
Generated Node #0,1,2: 70:[3, 78] Operation: 82-4=78
Exploring Operation: 82-3=79, Resulting Numbers: [4, 79]
Generated Node #0,1,3: 70:[4, 79] Operation: 82-3=79
Moving to Node #0,2
Current State: 70:[3, 82, 66], Operations: ['88-22=66']
Exploring Operation: 82-66=16, Resulting Numbers: [3, 16]
Generated Node #0,2,0: 70:[3, 16] Operation: 82-66=16
Exploring Operation: 3+82=85, Resulting Numbers: [66, 85]
Generated Node #0,2,1: 70:[66, 85] Operation: 3+82=85
Exploring Operation: 3+66=69, Resulting Numbers: [82, 69]
Generated Node #0,2,2: 70:[82, 69] Operation: 3+66=69
Exploring Operation: 82-3=79, Resulting Numbers: [66, 79]
Generated Node #0,2,3: 70:[66, 79] Operation: 82-3=79
Moving to Node #0,3
Current State: 70:[88, 3, 60], Operations: ['82-22=60']
Exploring Operation: 3+60=63, Resulting Numbers: [88, 63]
Generated Node #0,3,0: 70:[88, 63] Operation: 3+60=63
Exploring Operation: 60/3=20, Resulting Numbers: [88, 20]
Generated Node #0,3,1: 70:[88, 20] Operation: 60/3=20
Exploring Operation: 88-3=85, Resulting Numbers: [60, 85]
Generated Node #0,3,2: 70:[60, 85] Operation: 88-3=85
Exploring Operation: 88-60=28, Resulting Numbers: [3, 28]
Generated Node #0,3,3: 70:[3, 28] Operation: 88-60=28
Moving to Node #0,2,0
Current State: 70:[3, 16], Operations: ['88-22=66', '82-66=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,70 unequal: No Solution
Moving to Node #0,3,3
Current State: 70:[3, 28], Operations: ['82-22=60', '88-60=28']
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,70 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[3, 78], Operations: ['88/22=4', '82-4=78']
Exploring Operation: 3*78=234, Resulting Numbers: [234]
234,70 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,70 unequal: No Solution
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,70 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,70 unequal: No Solution
Moving to Node #0,1,3
Current State: 70:[4, 79], Operations: ['88/22=4', '82-3=79']
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,70 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,70 unequal: No Solution
Exploring Operation: 4*79=316, Resulting Numbers: [316]
316,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[82, 7], Operations: ['88/22=4', '3+4=7']
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,70 unequal: No Solution
Exploring Operation: 82*7=574, Resulting Numbers: [574]
574,70 unequal: No Solution
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,70 unequal: No Solution
Moving to Node #0,2,3
Current State: 70:[66, 79], Operations: ['88-22=66', '82-3=79']
Exploring Operation: 79-66=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 66*79=5214, Resulting Numbers: [5214]
5214,70 unequal: No Solution
Exploring Operation: 66+79=145, Resulting Numbers: [145]
145,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[82, 69], Operations: ['88-22=66', '3+66=69']
Exploring Operation: 82*69=5658, Resulting Numbers: [5658]
5658,70 unequal: No Solution
Exploring Operation: 82-69=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 82+69=151, Resulting Numbers: [151]
151,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[82, 1], Operations: ['88/22=4', '4-3=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,70 unequal: No Solution
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,70 unequal: No Solution
Exploring Operation: 82+1=83, Resulting Numbers: [83]
83,70 unequal: No Solution
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[66, 85], Operations: ['88-22=66', '3+82=85']
Exploring Operation: 66*85=5610, Resulting Numbers: [5610]
5610,70 unequal: No Solution
Exploring Operation: 66+85=151, Resulting Numbers: [151]
151,70 unequal: No Solution
Exploring Operation: 85-66=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Moving to Node #0,3,1
Current State: 70:[88, 20], Operations: ['82-22=60', '60/3=20']
Exploring Operation: 88*20=1760, Resulting Numbers: [1760]
1760,70 unequal: No Solution
Exploring Operation: 88+20=108, Resulting Numbers: [108]
108,70 unequal: No Solution
Exploring Operation: 88-20=68, Resulting Numbers: [68]
68,70 unequal: No Solution
Moving to Node #0,3,2
Current State: 70:[60, 85], Operations: ['82-22=60', '88-3=85']
Exploring Operation: 60*85=5100, Resulting Numbers: [5100]
5100,70 unequal: No Solution
Exploring Operation: 85-60=25, Resulting Numbers: [25]
25,70 unequal: No Solution
Exploring Operation: 60+85=145, Resulting Numbers: [145]
145,70 unequal: No Solution
Moving to Node #0,3,0
Current State: 70:[88, 63], Operations: ['82-22=60', '3+60=63']
Exploring Operation: 88*63=5544, Resulting Numbers: [5544]
5544,70 unequal: No Solution
Exploring Operation: 88-63=25, Resulting Numbers: [25]
25,70 unequal: No Solution
Exploring Operation: 88+63=151, Resulting Numbers: [151]
151,70 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
33,
66,
82,
54
] | 68 | [
"66/33=2",
"82+54=136",
"136/2=68"
] | Current State: 68:[33, 66, 82, 54], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [82, 54, 2]
Generated Node #2: [82, 54, 2] from Operation: 66/33=2
Current State: 68:[82, 54, 2], Operations: ['66/33=2']
Exploring Operation: 82+54=136, Resulting Numbers: [2, 136]
Generated Node #3: [2, 136] from Operation: 82+54=136
Current State: 68:[2, 136], Operations: ['66/33=2', '82+54=136']
Exploring Operation: 136/2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[33, 66, 82, 54], Operations: []
Exploring Operation: 82-66=16, Resulting Numbers: [33, 54, 16]
Generated Node #0,0: 68:[33, 54, 16] Operation: 82-66=16
Exploring Operation: 66-54=12, Resulting Numbers: [33, 82, 12]
Generated Node #0,1: 68:[33, 82, 12] Operation: 66-54=12
Exploring Operation: 54-33=21, Resulting Numbers: [66, 82, 21]
Generated Node #0,2: 68:[66, 82, 21] Operation: 54-33=21
Exploring Operation: 66/33=2, Resulting Numbers: [82, 54, 2]
Generated Node #0,3: 68:[82, 54, 2] Operation: 66/33=2
Exploring Operation: 82-54=28, Resulting Numbers: [33, 66, 28]
Generated Node #0,4: 68:[33, 66, 28] Operation: 82-54=28
Moving to Node #0,4
Current State: 68:[33, 66, 28], Operations: ['82-54=28']
Exploring Operation: 33+28=61, Resulting Numbers: [66, 61]
Generated Node #0,4,0: 68:[66, 61] Operation: 33+28=61
Exploring Operation: 66-28=38, Resulting Numbers: [33, 38]
Generated Node #0,4,1: 68:[33, 38] Operation: 66-28=38
Exploring Operation: 66-33=33, Resulting Numbers: [28, 33]
Generated Node #0,4,2: 68:[28, 33] Operation: 66-33=33
Exploring Operation: 66/33=2, Resulting Numbers: [28, 2]
Generated Node #0,4,3: 68:[28, 2] Operation: 66/33=2
Exploring Operation: 33-28=5, Resulting Numbers: [66, 5]
Generated Node #0,4,4: 68:[66, 5] Operation: 33-28=5
Moving to Node #0,0
Current State: 68:[33, 54, 16], Operations: ['82-66=16']
Exploring Operation: 33+54=87, Resulting Numbers: [16, 87]
Generated Node #0,0,0: 68:[16, 87] Operation: 33+54=87
Exploring Operation: 33-16=17, Resulting Numbers: [54, 17]
Generated Node #0,0,1: 68:[54, 17] Operation: 33-16=17
Exploring Operation: 54+16=70, Resulting Numbers: [33, 70]
Generated Node #0,0,2: 68:[33, 70] Operation: 54+16=70
Exploring Operation: 54-33=21, Resulting Numbers: [16, 21]
Generated Node #0,0,3: 68:[16, 21] Operation: 54-33=21
Exploring Operation: 54-16=38, Resulting Numbers: [33, 38]
Generated Node #0,0,4: 68:[33, 38] Operation: 54-16=38
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 68:[33, 70], Operations: ['82-66=16', '54+16=70']
Exploring Operation: 33*70=2310, Resulting Numbers: [2310]
2310,68 unequal: No Solution
Exploring Operation: 33+70=103, Resulting Numbers: [103]
103,68 unequal: No Solution
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 68:[16, 21], Operations: ['82-66=16', '54-33=21']
Exploring Operation: 16*21=336, Resulting Numbers: [336]
336,68 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 68:[33, 38], Operations: ['82-66=16', '54-16=38']
Exploring Operation: 33*38=1254, Resulting Numbers: [1254]
1254,68 unequal: No Solution
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 68:[54, 17], Operations: ['82-66=16', '33-16=17']
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,68 unequal: No Solution
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Exploring Operation: 54*17=918, Resulting Numbers: [918]
918,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[16, 87], Operations: ['82-66=16', '33+54=87']
Exploring Operation: 16*87=1392, Resulting Numbers: [1392]
1392,68 unequal: No Solution
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,68 unequal: No Solution
Exploring Operation: 16+87=103, Resulting Numbers: [103]
103,68 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: 68:[33, 82, 12], Operations: ['66-54=12']
Exploring Operation: 33+12=45, Resulting Numbers: [82, 45]
Generated Node #0,1,0: 68:[82, 45] Operation: 33+12=45
Exploring Operation: 82-33=49, Resulting Numbers: [12, 49]
Generated Node #0,1,1: 68:[12, 49] Operation: 82-33=49
Exploring Operation: 33-12=21, Resulting Numbers: [82, 21]
Generated Node #0,1,2: 68:[82, 21] Operation: 33-12=21
Exploring Operation: 82+12=94, Resulting Numbers: [33, 94]
Generated Node #0,1,3: 68:[33, 94] Operation: 82+12=94
Exploring Operation: 82-12=70, Resulting Numbers: [33, 70]
Generated Node #0,1,4: 68:[33, 70] Operation: 82-12=70
Moving to Node #0,2
Current State: 68:[66, 82, 21], Operations: ['54-33=21']
Exploring Operation: 82+21=103, Resulting Numbers: [66, 103]
Generated Node #0,2,0: 68:[66, 103] Operation: 82+21=103
Exploring Operation: 66+21=87, Resulting Numbers: [82, 87]
Generated Node #0,2,1: 68:[82, 87] Operation: 66+21=87
Exploring Operation: 66-21=45, Resulting Numbers: [82, 45]
Generated Node #0,2,2: 68:[82, 45] Operation: 66-21=45
Exploring Operation: 82-66=16, Resulting Numbers: [21, 16]
Generated Node #0,2,3: 68:[21, 16] Operation: 82-66=16
Exploring Operation: 82-21=61, Resulting Numbers: [66, 61]
Generated Node #0,2,4: 68:[66, 61] Operation: 82-21=61
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 68:[21, 16], Operations: ['54-33=21', '82-66=16']
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,68 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 68:[66, 61], Operations: ['54-33=21', '82-21=61']
Exploring Operation: 66+61=127, Resulting Numbers: [127]
127,68 unequal: No Solution
Exploring Operation: 66*61=4026, Resulting Numbers: [4026]
4026,68 unequal: No Solution
Exploring Operation: 66-61=5, Resulting Numbers: [5]
5,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 68:[82, 45], Operations: ['54-33=21', '66-21=45']
Exploring Operation: 82*45=3690, Resulting Numbers: [3690]
3690,68 unequal: No Solution
Exploring Operation: 82-45=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Exploring Operation: 82+45=127, Resulting Numbers: [127]
127,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 68:[82, 87], Operations: ['54-33=21', '66+21=87']
Exploring Operation: 82*87=7134, Resulting Numbers: [7134]
7134,68 unequal: No Solution
Exploring Operation: 82+87=169, Resulting Numbers: [169]
169,68 unequal: No Solution
Exploring Operation: 87-82=5, Resulting Numbers: [5]
5,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 68:[66, 103], Operations: ['54-33=21', '82+21=103']
Exploring Operation: 66+103=169, Resulting Numbers: [169]
169,68 unequal: No Solution
Exploring Operation: 66*103=6798, Resulting Numbers: [6798]
6798,68 unequal: No Solution
Exploring Operation: 103-66=37, Resulting Numbers: [37]
37,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 68:[82, 54, 2], Operations: ['66/33=2']
Exploring Operation: 82/2=41, Resulting Numbers: [54, 41]
Generated Node #0,3,0: 68:[54, 41] Operation: 82/2=41
Exploring Operation: 82-2=80, Resulting Numbers: [54, 80]
Generated Node #0,3,1: 68:[54, 80] Operation: 82-2=80
Exploring Operation: 54+2=56, Resulting Numbers: [82, 56]
Generated Node #0,3,2: 68:[82, 56] Operation: 54+2=56
Exploring Operation: 54/2=27, Resulting Numbers: [82, 27]
Generated Node #0,3,3: 68:[82, 27] Operation: 54/2=27
Exploring Operation: 82-54=28, Resulting Numbers: [2, 28]
Generated Node #0,3,4: 68:[2, 28] Operation: 82-54=28
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 68:[2, 28], Operations: ['66/33=2', '82-54=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,68 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 68:[54, 41], Operations: ['66/33=2', '82/2=41']
Exploring Operation: 54*41=2214, Resulting Numbers: [2214]
2214,68 unequal: No Solution
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 54+41=95, Resulting Numbers: [95]
95,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 68:[82, 27], Operations: ['66/33=2', '54/2=27']
Exploring Operation: 82*27=2214, Resulting Numbers: [2214]
2214,68 unequal: No Solution
Exploring Operation: 82-27=55, Resulting Numbers: [55]
55,68 unequal: No Solution
Exploring Operation: 82+27=109, Resulting Numbers: [109]
109,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 68:[54, 80], Operations: ['66/33=2', '82-2=80']
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Exploring Operation: 54*80=4320, Resulting Numbers: [4320]
4320,68 unequal: No Solution
Exploring Operation: 54+80=134, Resulting Numbers: [134]
134,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 68:[82, 56], Operations: ['66/33=2', '54+2=56']
Exploring Operation: 82-56=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Exploring Operation: 82+56=138, Resulting Numbers: [138]
138,68 unequal: No Solution
Exploring Operation: 82*56=4592, Resulting Numbers: [4592]
4592,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,4
Current State: 68:[66, 5], Operations: ['82-54=28', '33-28=5']
Exploring Operation: 66*5=330, Resulting Numbers: [330]
330,68 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,68 unequal: No Solution
Moving to Node #0,1,4
Current State: 68:[33, 70], Operations: ['66-54=12', '82-12=70']
Exploring Operation: 33+70=103, Resulting Numbers: [103]
103,68 unequal: No Solution
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Exploring Operation: 33*70=2310, Resulting Numbers: [2310]
2310,68 unequal: No Solution
Moving to Node #0,4,1
Current State: 68:[33, 38], Operations: ['82-54=28', '66-28=38']
Exploring Operation: 33*38=1254, Resulting Numbers: [1254]
1254,68 unequal: No Solution
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,68 unequal: No Solution
Moving to Node #0,4,3
Current State: 68:[28, 2], Operations: ['82-54=28', '66/33=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,68 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Moving to Node #0,4,2
Current State: 68:[28, 33], Operations: ['82-54=28', '66-33=33']
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 28+33=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Exploring Operation: 28*33=924, Resulting Numbers: [924]
924,68 unequal: No Solution
Moving to Node #0,4,0
Current State: 68:[66, 61], Operations: ['82-54=28', '33+28=61']
Exploring Operation: 66+61=127, Resulting Numbers: [127]
127,68 unequal: No Solution
Exploring Operation: 66*61=4026, Resulting Numbers: [4026]
4026,68 unequal: No Solution
Exploring Operation: 66-61=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Moving to Node #0,1,2
Current State: 68:[82, 21], Operations: ['66-54=12', '33-12=21']
Exploring Operation: 82*21=1722, Resulting Numbers: [1722]
1722,68 unequal: No Solution
Exploring Operation: 82+21=103, Resulting Numbers: [103]
103,68 unequal: No Solution
Exploring Operation: 82-21=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[12, 49], Operations: ['66-54=12', '82-33=49']
Exploring Operation: 12*49=588, Resulting Numbers: [588]
588,68 unequal: No Solution
Exploring Operation: 12+49=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Moving to Node #0,1,0
Current State: 68:[82, 45], Operations: ['66-54=12', '33+12=45']
Exploring Operation: 82+45=127, Resulting Numbers: [127]
127,68 unequal: No Solution
Exploring Operation: 82*45=3690, Resulting Numbers: [3690]
3690,68 unequal: No Solution
Exploring Operation: 82-45=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Moving to Node #0,1,3
Current State: 68:[33, 94], Operations: ['66-54=12', '82+12=94']
Exploring Operation: 94-33=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Exploring Operation: 33+94=127, Resulting Numbers: [127]
127,68 unequal: No Solution
Exploring Operation: 33*94=3102, Resulting Numbers: [3102]
3102,68 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
3,
18,
9,
84
] | 96 | [
"3+18=21",
"84-9=75",
"21+75=96"
] | Current State: 96:[3, 18, 9, 84], Operations: []
Exploring Operation: 3+18=21, Resulting Numbers: [9, 84, 21]
Generated Node #2: [9, 84, 21] from Operation: 3+18=21
Current State: 96:[9, 84, 21], Operations: ['3+18=21']
Exploring Operation: 84-9=75, Resulting Numbers: [21, 75]
Generated Node #3: [21, 75] from Operation: 84-9=75
Current State: 96:[21, 75], Operations: ['3+18=21', '84-9=75']
Exploring Operation: 21+75=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[3, 18, 9, 84], Operations: []
Exploring Operation: 9+84=93, Resulting Numbers: [3, 18, 93]
Generated Node #0,0: 96:[3, 18, 93] Operation: 9+84=93
Exploring Operation: 18/9=2, Resulting Numbers: [3, 84, 2]
Generated Node #0,1: 96:[3, 84, 2] Operation: 18/9=2
Exploring Operation: 84/3=28, Resulting Numbers: [18, 9, 28]
Generated Node #0,2: 96:[18, 9, 28] Operation: 84/3=28
Exploring Operation: 3+84=87, Resulting Numbers: [18, 9, 87]
Generated Node #0,3: 96:[18, 9, 87] Operation: 3+84=87
Exploring Operation: 18+84=102, Resulting Numbers: [3, 9, 102]
Generated Node #0,4: 96:[3, 9, 102] Operation: 18+84=102
Moving to Node #0,0
Current State: 96:[3, 18, 93], Operations: ['9+84=93']
Exploring Operation: 18/3=6, Resulting Numbers: [93, 6]
Generated Node #0,0,0: 96:[93, 6] Operation: 18/3=6
Exploring Operation: 3+18=21, Resulting Numbers: [93, 21]
Generated Node #0,0,1: 96:[93, 21] Operation: 3+18=21
Exploring Operation: 3+93=96, Resulting Numbers: [18, 96]
Generated Node #0,0,2: 96:[18, 96] Operation: 3+93=96
Exploring Operation: 93/3=31, Resulting Numbers: [18, 31]
Generated Node #0,0,3: 96:[18, 31] Operation: 93/3=31
Exploring Operation: 18-3=15, Resulting Numbers: [93, 15]
Generated Node #0,0,4: 96:[93, 15] Operation: 18-3=15
Moving to Node #0,4
Current State: 96:[3, 9, 102], Operations: ['18+84=102']
Exploring Operation: 102/3=34, Resulting Numbers: [9, 34]
Generated Node #0,4,0: 96:[9, 34] Operation: 102/3=34
Exploring Operation: 102-9=93, Resulting Numbers: [3, 93]
Generated Node #0,4,1: 96:[3, 93] Operation: 102-9=93
Exploring Operation: 9-3=6, Resulting Numbers: [102, 6]
Generated Node #0,4,2: 96:[102, 6] Operation: 9-3=6
Exploring Operation: 3+9=12, Resulting Numbers: [102, 12]
Generated Node #0,4,3: 96:[102, 12] Operation: 3+9=12
Exploring Operation: 102-3=99, Resulting Numbers: [9, 99]
Generated Node #0,4,4: 96:[9, 99] Operation: 102-3=99
Moving to Node #0,2
Current State: 96:[18, 9, 28], Operations: ['84/3=28']
Exploring Operation: 18+28=46, Resulting Numbers: [9, 46]
Generated Node #0,2,0: 96:[9, 46] Operation: 18+28=46
Exploring Operation: 28-9=19, Resulting Numbers: [18, 19]
Generated Node #0,2,1: 96:[18, 19] Operation: 28-9=19
Exploring Operation: 18-9=9, Resulting Numbers: [28, 9]
Generated Node #0,2,2: 96:[28, 9] Operation: 18-9=9
Exploring Operation: 18/9=2, Resulting Numbers: [28, 2]
Generated Node #0,2,3: 96:[28, 2] Operation: 18/9=2
Exploring Operation: 28-18=10, Resulting Numbers: [9, 10]
Generated Node #0,2,4: 96:[9, 10] Operation: 28-18=10
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 96:[9, 46], Operations: ['84/3=28', '18+28=46']
Exploring Operation: 9+46=55, Resulting Numbers: [55]
55,96 unequal: No Solution
Exploring Operation: 9*46=414, Resulting Numbers: [414]
414,96 unequal: No Solution
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 96:[9, 10], Operations: ['84/3=28', '28-18=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,96 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 96:[28, 2], Operations: ['84/3=28', '18/9=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 96:[18, 19], Operations: ['84/3=28', '28-9=19']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,96 unequal: No Solution
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 96:[28, 9], Operations: ['84/3=28', '18-9=9']
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,96 unequal: No Solution
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 28*9=252, Resulting Numbers: [252]
252,96 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: 96:[3, 84, 2], Operations: ['18/9=2']
Exploring Operation: 3*2=6, Resulting Numbers: [84, 6]
Generated Node #0,1,0: 96:[84, 6] Operation: 3*2=6
Exploring Operation: 84+2=86, Resulting Numbers: [3, 86]
Generated Node #0,1,1: 96:[3, 86] Operation: 84+2=86
Exploring Operation: 84/3=28, Resulting Numbers: [2, 28]
Generated Node #0,1,2: 96:[2, 28] Operation: 84/3=28
Exploring Operation: 84/2=42, Resulting Numbers: [3, 42]
Generated Node #0,1,3: 96:[3, 42] Operation: 84/2=42
Exploring Operation: 3+84=87, Resulting Numbers: [2, 87]
Generated Node #0,1,4: 96:[2, 87] Operation: 3+84=87
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 96:[2, 28], Operations: ['18/9=2', '84/3=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,96 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 #0,1,3
Current State: 96:[3, 42], Operations: ['18/9=2', '84/2=42']
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,96 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,96 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 #0,1,4
Current State: 96:[2, 87], Operations: ['18/9=2', '3+84=87']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,96 unequal: No Solution
Exploring Operation: 2*87=174, Resulting Numbers: [174]
174,96 unequal: No Solution
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,96 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 #0,1,1
Current State: 96:[3, 86], Operations: ['18/9=2', '84+2=86']
Exploring Operation: 3*86=258, Resulting Numbers: [258]
258,96 unequal: No Solution
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,96 unequal: No Solution
Exploring Operation: 3+86=89, Resulting Numbers: [89]
89,96 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 #0,1,0
Current State: 96:[84, 6], Operations: ['18/9=2', '3*2=6']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Exploring Operation: 84+6=90, Resulting Numbers: [90]
90,96 unequal: No Solution
Exploring Operation: 84*6=504, Resulting Numbers: [504]
504,96 unequal: No Solution
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,96 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: 96:[18, 9, 87], Operations: ['3+84=87']
Exploring Operation: 18+9=27, Resulting Numbers: [87, 27]
Generated Node #0,3,0: 96:[87, 27] Operation: 18+9=27
Exploring Operation: 18/9=2, Resulting Numbers: [87, 2]
Generated Node #0,3,1: 96:[87, 2] Operation: 18/9=2
Exploring Operation: 18+87=105, Resulting Numbers: [9, 105]
Generated Node #0,3,2: 96:[9, 105] Operation: 18+87=105
Exploring Operation: 9+87=96, Resulting Numbers: [18, 96]
Generated Node #0,3,3: 96:[18, 96] Operation: 9+87=96
Exploring Operation: 18-9=9, Resulting Numbers: [87, 9]
Generated Node #0,3,4: 96:[87, 9] Operation: 18-9=9
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 96:[18, 96], Operations: ['3+84=87', '9+87=96']
Exploring Operation: 18*96=1728, Resulting Numbers: [1728]
1728,96 unequal: No Solution
Exploring Operation: 96-18=78, Resulting Numbers: [78]
78,96 unequal: No Solution
Exploring Operation: 18+96=114, Resulting Numbers: [114]
114,96 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 #0,3,1
Current State: 96:[87, 2], Operations: ['3+84=87', '18/9=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,96 unequal: No Solution
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,96 unequal: No Solution
Exploring Operation: 87*2=174, Resulting Numbers: [174]
174,96 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 #0,3,2
Current State: 96:[9, 105], Operations: ['3+84=87', '18+87=105']
Exploring Operation: 9+105=114, Resulting Numbers: [114]
114,96 unequal: No Solution
Exploring Operation: 105-9=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[3, 18, 9, 84], Operations: []
Exploring Operation: 3+84=87, Resulting Numbers: [18, 9, 87]
Generated Node #0,3: 96:[18, 9, 87] Operation: 3+84=87
Moving to Node #0,3
Current State: 96:[18, 9, 87], Operations: ['3+84=87']
Exploring Operation: 18+87=105, Resulting Numbers: [9, 105]
Generated Node #0,3,2: 96:[9, 105] Operation: 18+87=105
Moving to Node #0,3,2
Current State: 96:[9, 105], Operations: ['3+84=87', '18+87=105']
Exploring Operation: 105-9=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.934028 | hs_5 | sum_heuristic |
[
82,
56,
12,
28
] | 14 | [
"82-56=26",
"12+28=40",
"40-26=14"
] | Current State: 14:[82, 56, 12, 28], Operations: []
Exploring Operation: 82-56=26, Resulting Numbers: [12, 28, 26]
Generated Node #2: [12, 28, 26] from Operation: 82-56=26
Current State: 14:[12, 28, 26], Operations: ['82-56=26']
Exploring Operation: 12+28=40, Resulting Numbers: [26, 40]
Generated Node #3: [26, 40] from Operation: 12+28=40
Current State: 14:[26, 40], Operations: ['82-56=26', '12+28=40']
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[82, 56, 12, 28], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [82, 12, 2]
Generated Node #0,0: 14:[82, 12, 2] Operation: 56/28=2
Exploring Operation: 82-56=26, Resulting Numbers: [12, 28, 26]
Generated Node #0,1: 14:[12, 28, 26] Operation: 82-56=26
Exploring Operation: 82-28=54, Resulting Numbers: [56, 12, 54]
Generated Node #0,2: 14:[56, 12, 54] Operation: 82-28=54
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[12, 28, 26], Operations: ['82-56=26']
Exploring Operation: 28-26=2, Resulting Numbers: [12, 2]
Generated Node #0,1,0: 14:[12, 2] Operation: 28-26=2
Exploring Operation: 28-12=16, Resulting Numbers: [26, 16]
Generated Node #0,1,1: 14:[26, 16] Operation: 28-12=16
Exploring Operation: 26-12=14, Resulting Numbers: [28, 14]
Generated Node #0,1,2: 14:[28, 14] Operation: 26-12=14
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[12, 2], Operations: ['82-56=26', '28-26=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[82, 56, 12, 28], Operations: []
Exploring Operation: 82-56=26, Resulting Numbers: [12, 28, 26]
Generated Node #0,1: 14:[12, 28, 26] Operation: 82-56=26
Moving to Node #0,1
Current State: 14:[12, 28, 26], Operations: ['82-56=26']
Exploring Operation: 28-26=2, Resulting Numbers: [12, 2]
Generated Node #0,1,0: 14:[12, 2] Operation: 28-26=2
Moving to Node #0,1,0
Current State: 14:[12, 2], Operations: ['82-56=26', '28-26=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
60,
76,
70,
24
] | 42 | [
"60+76=136",
"70+24=94",
"136-94=42"
] | Current State: 42:[60, 76, 70, 24], Operations: []
Exploring Operation: 60+76=136, Resulting Numbers: [70, 24, 136]
Generated Node #2: [70, 24, 136] from Operation: 60+76=136
Current State: 42:[70, 24, 136], Operations: ['60+76=136']
Exploring Operation: 70+24=94, Resulting Numbers: [136, 94]
Generated Node #3: [136, 94] from Operation: 70+24=94
Current State: 42:[136, 94], Operations: ['60+76=136', '70+24=94']
Exploring Operation: 136-94=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[60, 76, 70, 24], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [60, 24, 6]
Generated Node #0,0: 42:[60, 24, 6] Operation: 76-70=6
Exploring Operation: 70-60=10, Resulting Numbers: [76, 24, 10]
Generated Node #0,1: 42:[76, 24, 10] Operation: 70-60=10
Exploring Operation: 76-60=16, Resulting Numbers: [70, 24, 16]
Generated Node #0,2: 42:[70, 24, 16] Operation: 76-60=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[60, 24, 6], Operations: ['76-70=6']
Exploring Operation: 60/6=10, Resulting Numbers: [24, 10]
Generated Node #0,0,0: 42:[24, 10] Operation: 60/6=10
Exploring Operation: 60-24=36, Resulting Numbers: [6, 36]
Generated Node #0,0,1: 42:[6, 36] Operation: 60-24=36
Exploring Operation: 60-6=54, Resulting Numbers: [24, 54]
Generated Node #0,0,2: 42:[24, 54] Operation: 60-6=54
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 42:[24, 10], Operations: ['76-70=6', '60/6=10']
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,42 unequal: No Solution
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,42 unequal: No Solution
No 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: 42:[6, 36], Operations: ['76-70=6', '60-24=36']
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,42 unequal: No Solution
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[60, 76, 70, 24], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [60, 24, 6]
Generated Node #0,0: 42:[60, 24, 6] Operation: 76-70=6
Moving to Node #0,0
Current State: 42:[60, 24, 6], Operations: ['76-70=6']
Exploring Operation: 60-24=36, Resulting Numbers: [6, 36]
Generated Node #0,0,1: 42:[6, 36] Operation: 60-24=36
Moving to Node #0,0,1
Current State: 42:[6, 36], Operations: ['76-70=6', '60-24=36']
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
95,
69,
55,
19
] | 19 | [
"95/19=5",
"69-55=14",
"5+14=19"
] | Current State: 19:[95, 69, 55, 19], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [69, 55, 5]
Generated Node #2: [69, 55, 5] from Operation: 95/19=5
Current State: 19:[69, 55, 5], Operations: ['95/19=5']
Exploring Operation: 69-55=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 69-55=14
Current State: 19:[5, 14], Operations: ['95/19=5', '69-55=14']
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[95, 69, 55, 19], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [69, 55, 5]
Generated Node #0,0: 19:[69, 55, 5] Operation: 95/19=5
Exploring Operation: 95-19=76, Resulting Numbers: [69, 55, 76]
Generated Node #0,1: 19:[69, 55, 76] Operation: 95-19=76
Exploring Operation: 95-55=40, Resulting Numbers: [69, 19, 40]
Generated Node #0,2: 19:[69, 19, 40] Operation: 95-55=40
Exploring Operation: 69-55=14, Resulting Numbers: [95, 19, 14]
Generated Node #0,3: 19:[95, 19, 14] Operation: 69-55=14
Exploring Operation: 95-69=26, Resulting Numbers: [55, 19, 26]
Generated Node #0,4: 19:[55, 19, 26] Operation: 95-69=26
Start Sub Search at level 1: Moving to Node #0,4
Current State: 19:[55, 19, 26], Operations: ['95-69=26']
Exploring Operation: 55+26=81, Resulting Numbers: [19, 81]
Generated Node #0,4,0: 19:[19, 81] Operation: 55+26=81
Exploring Operation: 55+19=74, Resulting Numbers: [26, 74]
Generated Node #0,4,1: 19:[26, 74] Operation: 55+19=74
Exploring Operation: 26-19=7, Resulting Numbers: [55, 7]
Generated Node #0,4,2: 19:[55, 7] Operation: 26-19=7
Exploring Operation: 55-26=29, Resulting Numbers: [19, 29]
Generated Node #0,4,3: 19:[19, 29] Operation: 55-26=29
Exploring Operation: 55-19=36, Resulting Numbers: [26, 36]
Generated Node #0,4,4: 19:[26, 36] Operation: 55-19=36
Moving to Node #0,4,3
Current State: 19:[19, 29], Operations: ['95-69=26', '55-26=29']
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,19 unequal: No Solution
Moving to Node #0,4,4
Current State: 19:[26, 36], Operations: ['95-69=26', '55-19=36']
Exploring Operation: 26+36=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 26*36=936, Resulting Numbers: [936]
936,19 unequal: No Solution
Moving to Node #0,4,2
Current State: 19:[55, 7], Operations: ['95-69=26', '26-19=7']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 55*7=385, Resulting Numbers: [385]
385,19 unequal: No Solution
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Moving to Node #0,4,0
Current State: 19:[19, 81], Operations: ['95-69=26', '55+26=81']
Exploring Operation: 19*81=1539, Resulting Numbers: [1539]
1539,19 unequal: No Solution
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Exploring Operation: 19+81=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Moving to Node #0,4,1
Current State: 19:[26, 74], Operations: ['95-69=26', '55+19=74']
Exploring Operation: 26*74=1924, Resulting Numbers: [1924]
1924,19 unequal: No Solution
Exploring Operation: 26+74=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,19 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
Current State: 19:[69, 19, 40], Operations: ['95-55=40']
Exploring Operation: 40-19=21, Resulting Numbers: [69, 21]
Generated Node #0,2,0: 19:[69, 21] Operation: 40-19=21
Exploring Operation: 69-40=29, Resulting Numbers: [19, 29]
Generated Node #0,2,1: 19:[19, 29] Operation: 69-40=29
Exploring Operation: 69+40=109, Resulting Numbers: [19, 109]
Generated Node #0,2,2: 19:[19, 109] Operation: 69+40=109
Exploring Operation: 69-19=50, Resulting Numbers: [40, 50]
Generated Node #0,2,3: 19:[40, 50] Operation: 69-19=50
Exploring Operation: 69+19=88, Resulting Numbers: [40, 88]
Generated Node #0,2,4: 19:[40, 88] Operation: 69+19=88
Moving to Node #0,2,1
Current State: 19:[19, 29], Operations: ['95-55=40', '69-40=29']
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,19 unequal: No Solution
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Moving to Node #0,2,3
Current State: 19:[40, 50], Operations: ['95-55=40', '69-19=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
Moving to Node #0,2,0
Current State: 19:[69, 21], Operations: ['95-55=40', '40-19=21']
Exploring Operation: 69*21=1449, Resulting Numbers: [1449]
1449,19 unequal: No Solution
Exploring Operation: 69-21=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 69+21=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[19, 109], Operations: ['95-55=40', '69+40=109']
Exploring Operation: 19+109=128, Resulting Numbers: [128]
128,19 unequal: No Solution
Exploring Operation: 109-19=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 19*109=2071, Resulting Numbers: [2071]
2071,19 unequal: No Solution
Moving to Node #0,2,4
Current State: 19:[40, 88], Operations: ['95-55=40', '69+19=88']
Exploring Operation: 40*88=3520, Resulting Numbers: [3520]
3520,19 unequal: No Solution
Exploring Operation: 40+88=128, Resulting Numbers: [128]
128,19 unequal: No Solution
Exploring Operation: 88-40=48, Resulting Numbers: [48]
48,19 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 #0,3
Current State: 19:[95, 19, 14], Operations: ['69-55=14']
Exploring Operation: 95-19=76, Resulting Numbers: [14, 76]
Generated Node #0,3,0: 19:[14, 76] Operation: 95-19=76
Exploring Operation: 95-14=81, Resulting Numbers: [19, 81]
Generated Node #0,3,1: 19:[19, 81] Operation: 95-14=81
Exploring Operation: 95/19=5, Resulting Numbers: [14, 5]
Generated Node #0,3,2: 19:[14, 5] Operation: 95/19=5
Exploring Operation: 19+14=33, Resulting Numbers: [95, 33]
Generated Node #0,3,3: 19:[95, 33] Operation: 19+14=33
Exploring Operation: 95+14=109, Resulting Numbers: [19, 109]
Generated Node #0,3,4: 19:[19, 109] Operation: 95+14=109
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 19:[14, 5], Operations: ['69-55=14', '95/19=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,19 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[95, 69, 55, 19], Operations: []
Exploring Operation: 69-55=14, Resulting Numbers: [95, 19, 14]
Generated Node #0,3: 19:[95, 19, 14] Operation: 69-55=14
Moving to Node #0,3
Current State: 19:[95, 19, 14], Operations: ['69-55=14']
Exploring Operation: 95/19=5, Resulting Numbers: [14, 5]
Generated Node #0,3,2: 19:[14, 5] Operation: 95/19=5
Moving to Node #0,3,2
Current State: 19:[14, 5], Operations: ['69-55=14', '95/19=5']
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.950521 | hs_5 | mult_heuristic |
[
87,
66,
3,
28
] | 81 | [
"87-28=59",
"66/3=22",
"59+22=81"
] | Current State: 81:[87, 66, 3, 28], Operations: []
Exploring Operation: 87-28=59, Resulting Numbers: [66, 3, 59]
Generated Node #2: [66, 3, 59] from Operation: 87-28=59
Current State: 81:[66, 3, 59], Operations: ['87-28=59']
Exploring Operation: 66/3=22, Resulting Numbers: [59, 22]
Generated Node #3: [59, 22] from Operation: 66/3=22
Current State: 81:[59, 22], Operations: ['87-28=59', '66/3=22']
Exploring Operation: 59+22=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[87, 66, 3, 28], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [87, 28, 22]
Generated Node #0,0: 81:[87, 28, 22] Operation: 66/3=22
Exploring Operation: 66-28=38, Resulting Numbers: [87, 3, 38]
Generated Node #0,1: 81:[87, 3, 38] Operation: 66-28=38
Exploring Operation: 87-66=21, Resulting Numbers: [3, 28, 21]
Generated Node #0,2: 81:[3, 28, 21] Operation: 87-66=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[3, 28, 21], Operations: ['87-66=21']
Exploring Operation: 28-21=7, Resulting Numbers: [3, 7]
Generated Node #0,2,0: 81:[3, 7] Operation: 28-21=7
Exploring Operation: 3+21=24, Resulting Numbers: [28, 24]
Generated Node #0,2,1: 81:[28, 24] Operation: 3+21=24
Exploring Operation: 21/3=7, Resulting Numbers: [28, 7]
Generated Node #0,2,2: 81:[28, 7] Operation: 21/3=7
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 81:[3, 7], Operations: ['87-66=21', '28-21=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 81:[28, 7], Operations: ['87-66=21', '21/3=7']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,81 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 81:[28, 24], Operations: ['87-66=21', '3+21=24']
Exploring Operation: 28*24=672, Resulting Numbers: [672]
672,81 unequal: No Solution
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,81 unequal: No Solution
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[87, 28, 22], Operations: ['66/3=22']
Exploring Operation: 87-28=59, Resulting Numbers: [22, 59]
Generated Node #0,0,0: 81:[22, 59] Operation: 87-28=59
Exploring Operation: 28-22=6, Resulting Numbers: [87, 6]
Generated Node #0,0,1: 81:[87, 6] Operation: 28-22=6
Exploring Operation: 87-22=65, Resulting Numbers: [28, 65]
Generated Node #0,0,2: 81:[28, 65] Operation: 87-22=65
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[87, 6], Operations: ['66/3=22', '28-22=6']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[87, 66, 3, 28], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [87, 28, 22]
Generated Node #0,0: 81:[87, 28, 22] Operation: 66/3=22
Moving to Node #0,0
Current State: 81:[87, 28, 22], Operations: ['66/3=22']
Exploring Operation: 28-22=6, Resulting Numbers: [87, 6]
Generated Node #0,0,1: 81:[87, 6] Operation: 28-22=6
Moving to Node #0,0,1
Current State: 81:[87, 6], Operations: ['66/3=22', '28-22=6']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
18,
32,
70,
8
] | 39 | [
"18-8=10",
"70/10=7",
"32+7=39"
] | Current State: 39:[18, 32, 70, 8], Operations: []
Exploring Operation: 18-8=10, Resulting Numbers: [32, 70, 10]
Generated Node #2: [32, 70, 10] from Operation: 18-8=10
Current State: 39:[32, 70, 10], Operations: ['18-8=10']
Exploring Operation: 70/10=7, Resulting Numbers: [32, 7]
Generated Node #3: [32, 7] from Operation: 70/10=7
Current State: 39:[32, 7], Operations: ['18-8=10', '70/10=7']
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[18, 32, 70, 8], Operations: []
Exploring Operation: 70-8=62, Resulting Numbers: [18, 32, 62]
Generated Node #0,0: 39:[18, 32, 62] Operation: 70-8=62
Exploring Operation: 32+8=40, Resulting Numbers: [18, 70, 40]
Generated Node #0,1: 39:[18, 70, 40] Operation: 32+8=40
Exploring Operation: 70-32=38, Resulting Numbers: [18, 8, 38]
Generated Node #0,2: 39:[18, 8, 38] Operation: 70-32=38
Exploring Operation: 70-18=52, Resulting Numbers: [32, 8, 52]
Generated Node #0,3: 39:[32, 8, 52] Operation: 70-18=52
Exploring Operation: 32-18=14, Resulting Numbers: [70, 8, 14]
Generated Node #0,4: 39:[70, 8, 14] Operation: 32-18=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[18, 8, 38], Operations: ['70-32=38']
Exploring Operation: 8+38=46, Resulting Numbers: [18, 46]
Generated Node #0,2,0: 39:[18, 46] Operation: 8+38=46
Exploring Operation: 18+8=26, Resulting Numbers: [38, 26]
Generated Node #0,2,1: 39:[38, 26] Operation: 18+8=26
Exploring Operation: 38-8=30, Resulting Numbers: [18, 30]
Generated Node #0,2,2: 39:[18, 30] Operation: 38-8=30
Exploring Operation: 38-18=20, Resulting Numbers: [8, 20]
Generated Node #0,2,3: 39:[8, 20] Operation: 38-18=20
Exploring Operation: 18-8=10, Resulting Numbers: [38, 10]
Generated Node #0,2,4: 39:[38, 10] Operation: 18-8=10
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 39:[38, 10], Operations: ['70-32=38', '18-8=10']
Exploring Operation: 38*10=380, Resulting Numbers: [380]
380,39 unequal: No Solution
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,39 unequal: No Solution
No 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: 39:[18, 46], Operations: ['70-32=38', '8+38=46']
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 18+46=64, Resulting Numbers: [64]
64,39 unequal: No Solution
Exploring Operation: 18*46=828, Resulting Numbers: [828]
828,39 unequal: No Solution
No 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: 39:[8, 20], Operations: ['70-32=38', '38-18=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 8*20=160, Resulting Numbers: [160]
160,39 unequal: No Solution
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,39 unequal: No Solution
No 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: 39:[38, 26], Operations: ['70-32=38', '18+8=26']
Exploring Operation: 38+26=64, Resulting Numbers: [64]
64,39 unequal: No Solution
Exploring Operation: 38*26=988, Resulting Numbers: [988]
988,39 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,39 unequal: No Solution
No 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: 39:[18, 30], Operations: ['70-32=38', '38-8=30']
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,39 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: 39:[32, 8, 52], Operations: ['70-18=52']
Exploring Operation: 32/8=4, Resulting Numbers: [52, 4]
Generated Node #0,3,0: 39:[52, 4] Operation: 32/8=4
Exploring Operation: 32-8=24, Resulting Numbers: [52, 24]
Generated Node #0,3,1: 39:[52, 24] Operation: 32-8=24
Exploring Operation: 32+8=40, Resulting Numbers: [52, 40]
Generated Node #0,3,2: 39:[52, 40] Operation: 32+8=40
Exploring Operation: 52-8=44, Resulting Numbers: [32, 44]
Generated Node #0,3,3: 39:[32, 44] Operation: 52-8=44
Exploring Operation: 52-32=20, Resulting Numbers: [8, 20]
Generated Node #0,3,4: 39:[8, 20] Operation: 52-32=20
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 39:[32, 44], Operations: ['70-18=52', '52-8=44']
Exploring Operation: 32*44=1408, Resulting Numbers: [1408]
1408,39 unequal: No Solution
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 32+44=76, Resulting Numbers: [76]
76,39 unequal: No Solution
No 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: 39:[8, 20], Operations: ['70-18=52', '52-32=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 8*20=160, Resulting Numbers: [160]
160,39 unequal: No Solution
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,39 unequal: No Solution
No 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: 39:[52, 4], Operations: ['70-18=52', '32/8=4']
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,39 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 52*4=208, Resulting Numbers: [208]
208,39 unequal: No Solution
No 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: 39:[52, 40], Operations: ['70-18=52', '32+8=40']
Exploring Operation: 52*40=2080, Resulting Numbers: [2080]
2080,39 unequal: No Solution
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 52+40=92, Resulting Numbers: [92]
92,39 unequal: No Solution
No 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: 39:[52, 24], Operations: ['70-18=52', '32-8=24']
Exploring Operation: 52*24=1248, Resulting Numbers: [1248]
1248,39 unequal: No Solution
Exploring Operation: 52+24=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,39 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: 39:[18, 32, 62], Operations: ['70-8=62']
Exploring Operation: 32-18=14, Resulting Numbers: [62, 14]
Generated Node #0,0,0: 39:[62, 14] Operation: 32-18=14
Exploring Operation: 62-18=44, Resulting Numbers: [32, 44]
Generated Node #0,0,1: 39:[32, 44] Operation: 62-18=44
Exploring Operation: 18+32=50, Resulting Numbers: [62, 50]
Generated Node #0,0,2: 39:[62, 50] Operation: 18+32=50
Exploring Operation: 62-32=30, Resulting Numbers: [18, 30]
Generated Node #0,0,3: 39:[18, 30] Operation: 62-32=30
Exploring Operation: 18+62=80, Resulting Numbers: [32, 80]
Generated Node #0,0,4: 39:[32, 80] Operation: 18+62=80
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[32, 44], Operations: ['70-8=62', '62-18=44']
Exploring Operation: 32*44=1408, Resulting Numbers: [1408]
1408,39 unequal: No Solution
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 32+44=76, Resulting Numbers: [76]
76,39 unequal: No Solution
No 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: 39:[18, 30], Operations: ['70-8=62', '62-32=30']
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,39 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,39 unequal: No Solution
No 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: 39:[62, 14], Operations: ['70-8=62', '32-18=14']
Exploring Operation: 62+14=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 62*14=868, Resulting Numbers: [868]
868,39 unequal: No Solution
Exploring Operation: 62-14=48, Resulting Numbers: [48]
48,39 unequal: No Solution
No 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: 39:[62, 50], Operations: ['70-8=62', '18+32=50']
Exploring Operation: 62*50=3100, Resulting Numbers: [3100]
3100,39 unequal: No Solution
Exploring Operation: 62-50=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 62+50=112, Resulting Numbers: [112]
112,39 unequal: No Solution
No 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: 39:[32, 80], Operations: ['70-8=62', '18+62=80']
Exploring Operation: 32+80=112, Resulting Numbers: [112]
112,39 unequal: No Solution
Exploring Operation: 80-32=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 32*80=2560, Resulting Numbers: [2560]
2560,39 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: 39:[18, 70, 40], Operations: ['32+8=40']
Exploring Operation: 18+70=88, Resulting Numbers: [40, 88]
Generated Node #0,1,0: 39:[40, 88] Operation: 18+70=88
Exploring Operation: 70-18=52, Resulting Numbers: [40, 52]
Generated Node #0,1,1: 39:[40, 52] Operation: 70-18=52
Exploring Operation: 70-40=30, Resulting Numbers: [18, 30]
Generated Node #0,1,2: 39:[18, 30] Operation: 70-40=30
Exploring Operation: 40-18=22, Resulting Numbers: [70, 22]
Generated Node #0,1,3: 39:[70, 22] Operation: 40-18=22
Exploring Operation: 18+40=58, Resulting Numbers: [70, 58]
Generated Node #0,1,4: 39:[70, 58] Operation: 18+40=58
Moving to Node #0,1,1
Current State: 39:[40, 52], Operations: ['32+8=40', '70-18=52']
Exploring Operation: 40*52=2080, Resulting Numbers: [2080]
2080,39 unequal: No Solution
Exploring Operation: 40+52=92, Resulting Numbers: [92]
92,39 unequal: No Solution
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[18, 30], Operations: ['32+8=40', '70-40=30']
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,39 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Moving to Node #0,1,3
Current State: 39:[70, 22], Operations: ['32+8=40', '40-18=22']
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 70+22=92, Resulting Numbers: [92]
92,39 unequal: No Solution
Exploring Operation: 70*22=1540, Resulting Numbers: [1540]
1540,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[40, 88], Operations: ['32+8=40', '18+70=88']
Exploring Operation: 40*88=3520, Resulting Numbers: [3520]
3520,39 unequal: No Solution
Exploring Operation: 40+88=128, Resulting Numbers: [128]
128,39 unequal: No Solution
Exploring Operation: 88-40=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Moving to Node #0,1,4
Current State: 39:[70, 58], Operations: ['32+8=40', '18+40=58']
Exploring Operation: 70-58=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 70*58=4060, Resulting Numbers: [4060]
4060,39 unequal: No Solution
Exploring Operation: 70+58=128, Resulting Numbers: [128]
128,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 39:[70, 8, 14], Operations: ['32-18=14']
Exploring Operation: 70/14=5, Resulting Numbers: [8, 5]
Generated Node #0,4,0: 39:[8, 5] Operation: 70/14=5
Exploring Operation: 70-14=56, Resulting Numbers: [8, 56]
Generated Node #0,4,1: 39:[8, 56] Operation: 70-14=56
Exploring Operation: 70+8=78, Resulting Numbers: [14, 78]
Generated Node #0,4,2: 39:[14, 78] Operation: 70+8=78
Exploring Operation: 14-8=6, Resulting Numbers: [70, 6]
Generated Node #0,4,3: 39:[70, 6] Operation: 14-8=6
Exploring Operation: 70-8=62, Resulting Numbers: [14, 62]
Generated Node #0,4,4: 39:[14, 62] Operation: 70-8=62
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 39:[8, 5], Operations: ['32-18=14', '70/14=5']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,39 unequal: No Solution
No 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: 39:[8, 56], Operations: ['32-18=14', '70-14=56']
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,39 unequal: No Solution
Exploring Operation: 8*56=448, Resulting Numbers: [448]
448,39 unequal: No Solution
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,39 unequal: No Solution
No 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: 39:[14, 62], Operations: ['32-18=14', '70-8=62']
Exploring Operation: 62-14=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 14*62=868, Resulting Numbers: [868]
868,39 unequal: No Solution
Exploring Operation: 14+62=76, Resulting Numbers: [76]
76,39 unequal: No Solution
No 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: 39:[70, 6], Operations: ['32-18=14', '14-8=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,39 unequal: No Solution
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 70*6=420, Resulting Numbers: [420]
420,39 unequal: No Solution
No 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: 39:[14, 78], Operations: ['32-18=14', '70+8=78']
Exploring Operation: 14+78=92, Resulting Numbers: [92]
92,39 unequal: No Solution
Exploring Operation: 14*78=1092, Resulting Numbers: [1092]
1092,39 unequal: No Solution
Exploring Operation: 78-14=64, Resulting Numbers: [64]
64,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
5,
65,
8,
42
] | 21 | [
"65/5=13",
"42-8=34",
"34-13=21"
] | Current State: 21:[5, 65, 8, 42], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [8, 42, 13]
Generated Node #2: [8, 42, 13] from Operation: 65/5=13
Current State: 21:[8, 42, 13], Operations: ['65/5=13']
Exploring Operation: 42-8=34, Resulting Numbers: [13, 34]
Generated Node #3: [13, 34] from Operation: 42-8=34
Current State: 21:[13, 34], Operations: ['65/5=13', '42-8=34']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[5, 65, 8, 42], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [8, 42, 13]
Generated Node #0,0: 21:[8, 42, 13] Operation: 65/5=13
Exploring Operation: 65-8=57, Resulting Numbers: [5, 42, 57]
Generated Node #0,1: 21:[5, 42, 57] Operation: 65-8=57
Exploring Operation: 65-42=23, Resulting Numbers: [5, 8, 23]
Generated Node #0,2: 21:[5, 8, 23] Operation: 65-42=23
Exploring Operation: 42-8=34, Resulting Numbers: [5, 65, 34]
Generated Node #0,3: 21:[5, 65, 34] Operation: 42-8=34
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[5, 8, 23], Operations: ['65-42=23']
Exploring Operation: 8-5=3, Resulting Numbers: [23, 3]
Generated Node #0,2,0: 21:[23, 3] Operation: 8-5=3
Exploring Operation: 5+23=28, Resulting Numbers: [8, 28]
Generated Node #0,2,1: 21:[8, 28] Operation: 5+23=28
Exploring Operation: 23-5=18, Resulting Numbers: [8, 18]
Generated Node #0,2,2: 21:[8, 18] Operation: 23-5=18
Exploring Operation: 5+8=13, Resulting Numbers: [23, 13]
Generated Node #0,2,3: 21:[23, 13] Operation: 5+8=13
Moving to Node #0,2,0
Current State: 21:[23, 3], Operations: ['65-42=23', '8-5=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,21 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,21 unequal: No Solution
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Moving to Node #0,2,2
Current State: 21:[8, 18], Operations: ['65-42=23', '23-5=18']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 8*18=144, Resulting Numbers: [144]
144,21 unequal: No Solution
Moving to Node #0,2,3
Current State: 21:[23, 13], Operations: ['65-42=23', '5+8=13']
Exploring Operation: 23*13=299, Resulting Numbers: [299]
299,21 unequal: No Solution
Exploring Operation: 23+13=36, Resulting Numbers: [36]
36,21 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Moving to Node #0,2,1
Current State: 21:[8, 28], Operations: ['65-42=23', '5+23=28']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,21 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,21 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[8, 42, 13], Operations: ['65/5=13']
Exploring Operation: 42-8=34, Resulting Numbers: [13, 34]
Generated Node #0,0,0: 21:[13, 34] Operation: 42-8=34
Exploring Operation: 13-8=5, Resulting Numbers: [42, 5]
Generated Node #0,0,1: 21:[42, 5] Operation: 13-8=5
Exploring Operation: 42-13=29, Resulting Numbers: [8, 29]
Generated Node #0,0,2: 21:[8, 29] Operation: 42-13=29
Exploring Operation: 8+13=21, Resulting Numbers: [42, 21]
Generated Node #0,0,3: 21:[42, 21] Operation: 8+13=21
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 21:[8, 29], Operations: ['65/5=13', '42-13=29']
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,21 unequal: No Solution
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,21 unequal: No Solution
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[5, 65, 8, 42], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [8, 42, 13]
Generated Node #0,0: 21:[8, 42, 13] Operation: 65/5=13
Moving to Node #0,0
Current State: 21:[8, 42, 13], Operations: ['65/5=13']
Exploring Operation: 42-13=29, Resulting Numbers: [8, 29]
Generated Node #0,0,2: 21:[8, 29] Operation: 42-13=29
Moving to Node #0,0,2
Current State: 21:[8, 29], Operations: ['65/5=13', '42-13=29']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_4 | sum_heuristic |
[
84,
14,
3,
76
] | 10 | [
"84-76=8",
"3*8=24",
"24-14=10"
] | Current State: 10:[84, 14, 3, 76], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [14, 3, 8]
Generated Node #2: [14, 3, 8] from Operation: 84-76=8
Current State: 10:[14, 3, 8], Operations: ['84-76=8']
Exploring Operation: 3*8=24, Resulting Numbers: [14, 24]
Generated Node #3: [14, 24] from Operation: 3*8=24
Current State: 10:[14, 24], Operations: ['84-76=8', '3*8=24']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[84, 14, 3, 76], Operations: []
Exploring Operation: 84-14=70, Resulting Numbers: [3, 76, 70]
Generated Node #0,0: 10:[3, 76, 70] Operation: 84-14=70
Exploring Operation: 76-14=62, Resulting Numbers: [84, 3, 62]
Generated Node #0,1: 10:[84, 3, 62] Operation: 76-14=62
Exploring Operation: 84/3=28, Resulting Numbers: [14, 76, 28]
Generated Node #0,2: 10:[14, 76, 28] Operation: 84/3=28
Exploring Operation: 84/14=6, Resulting Numbers: [3, 76, 6]
Generated Node #0,3: 10:[3, 76, 6] Operation: 84/14=6
Exploring Operation: 84-76=8, Resulting Numbers: [14, 3, 8]
Generated Node #0,4: 10:[14, 3, 8] Operation: 84-76=8
Moving to Node #0,4
Current State: 10:[14, 3, 8], Operations: ['84-76=8']
Exploring Operation: 14+3=17, Resulting Numbers: [8, 17]
Generated Node #0,4,0: 10:[8, 17] Operation: 14+3=17
Exploring Operation: 3+8=11, Resulting Numbers: [14, 11]
Generated Node #0,4,1: 10:[14, 11] Operation: 3+8=11
Exploring Operation: 8-3=5, Resulting Numbers: [14, 5]
Generated Node #0,4,2: 10:[14, 5] Operation: 8-3=5
Exploring Operation: 14-8=6, Resulting Numbers: [3, 6]
Generated Node #0,4,3: 10:[3, 6] Operation: 14-8=6
Exploring Operation: 14-3=11, Resulting Numbers: [8, 11]
Generated Node #0,4,4: 10:[8, 11] Operation: 14-3=11
Moving to Node #0,3
Current State: 10:[3, 76, 6], Operations: ['84/14=6']
Exploring Operation: 6/3=2, Resulting Numbers: [76, 2]
Generated Node #0,3,0: 10:[76, 2] Operation: 6/3=2
Exploring Operation: 76-6=70, Resulting Numbers: [3, 70]
Generated Node #0,3,1: 10:[3, 70] Operation: 76-6=70
Exploring Operation: 76-3=73, Resulting Numbers: [6, 73]
Generated Node #0,3,2: 10:[6, 73] Operation: 76-3=73
Exploring Operation: 6-3=3, Resulting Numbers: [76, 3]
Generated Node #0,3,3: 10:[76, 3] Operation: 6-3=3
Exploring Operation: 3+6=9, Resulting Numbers: [76, 9]
Generated Node #0,3,4: 10:[76, 9] Operation: 3+6=9
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 10:[3, 70], Operations: ['84/14=6', '76-6=70']
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,10 unequal: No Solution
Exploring Operation: 3*70=210, Resulting Numbers: [210]
210,10 unequal: No Solution
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 10:[6, 73], Operations: ['84/14=6', '76-3=73']
Exploring Operation: 6+73=79, Resulting Numbers: [79]
79,10 unequal: No Solution
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,10 unequal: No Solution
Exploring Operation: 6*73=438, Resulting Numbers: [438]
438,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 10:[76, 2], Operations: ['84/14=6', '6/3=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,10 unequal: No Solution
Exploring Operation: 76*2=152, Resulting Numbers: [152]
152,10 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,10 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 10:[76, 3], Operations: ['84/14=6', '6-3=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,10 unequal: No Solution
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,10 unequal: No Solution
Exploring Operation: 76*3=228, Resulting Numbers: [228]
228,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 10:[76, 9], Operations: ['84/14=6', '3+6=9']
Exploring Operation: 76+9=85, Resulting Numbers: [85]
85,10 unequal: No Solution
Exploring Operation: 76-9=67, Resulting Numbers: [67]
67,10 unequal: No Solution
Exploring Operation: 76*9=684, Resulting Numbers: [684]
684,10 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: 10:[14, 76, 28], Operations: ['84/3=28']
Exploring Operation: 76-14=62, Resulting Numbers: [28, 62]
Generated Node #0,2,0: 10:[28, 62] Operation: 76-14=62
Exploring Operation: 14+76=90, Resulting Numbers: [28, 90]
Generated Node #0,2,1: 10:[28, 90] Operation: 14+76=90
Exploring Operation: 28-14=14, Resulting Numbers: [76, 14]
Generated Node #0,2,2: 10:[76, 14] Operation: 28-14=14
Exploring Operation: 28/14=2, Resulting Numbers: [76, 2]
Generated Node #0,2,3: 10:[76, 2] Operation: 28/14=2
Exploring Operation: 76-28=48, Resulting Numbers: [14, 48]
Generated Node #0,2,4: 10:[14, 48] Operation: 76-28=48
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 10:[14, 48], Operations: ['84/3=28', '76-28=48']
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,10 unequal: No Solution
Exploring Operation: 14+48=62, Resulting Numbers: [62]
62,10 unequal: No Solution
Exploring Operation: 14*48=672, Resulting Numbers: [672]
672,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 10:[76, 2], Operations: ['84/3=28', '28/14=2']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,10 unequal: No Solution
Exploring Operation: 76*2=152, Resulting Numbers: [152]
152,10 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,10 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 10:[28, 62], Operations: ['84/3=28', '76-14=62']
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,10 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,10 unequal: No Solution
Exploring Operation: 28*62=1736, Resulting Numbers: [1736]
1736,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 10:[76, 14], Operations: ['84/3=28', '28-14=14']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,10 unequal: No Solution
Exploring Operation: 76*14=1064, Resulting Numbers: [1064]
1064,10 unequal: No Solution
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 10:[28, 90], Operations: ['84/3=28', '14+76=90']
Exploring Operation: 28*90=2520, Resulting Numbers: [2520]
2520,10 unequal: No Solution
Exploring Operation: 90-28=62, Resulting Numbers: [62]
62,10 unequal: No Solution
Exploring Operation: 28+90=118, Resulting Numbers: [118]
118,10 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: 10:[3, 76, 70], Operations: ['84-14=70']
Exploring Operation: 3+76=79, Resulting Numbers: [70, 79]
Generated Node #0,0,0: 10:[70, 79] Operation: 3+76=79
Exploring Operation: 70-3=67, Resulting Numbers: [76, 67]
Generated Node #0,0,1: 10:[76, 67] Operation: 70-3=67
Exploring Operation: 3+70=73, Resulting Numbers: [76, 73]
Generated Node #0,0,2: 10:[76, 73] Operation: 3+70=73
Exploring Operation: 76-70=6, Resulting Numbers: [3, 6]
Generated Node #0,0,3: 10:[3, 6] Operation: 76-70=6
Exploring Operation: 76-3=73, Resulting Numbers: [70, 73]
Generated Node #0,0,4: 10:[70, 73] Operation: 76-3=73
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 10:[3, 6], Operations: ['84-14=70', '76-70=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[76, 67], Operations: ['84-14=70', '70-3=67']
Exploring Operation: 76*67=5092, Resulting Numbers: [5092]
5092,10 unequal: No Solution
Exploring Operation: 76+67=143, Resulting Numbers: [143]
143,10 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 10:[70, 73], Operations: ['84-14=70', '76-3=73']
Exploring Operation: 70*73=5110, Resulting Numbers: [5110]
5110,10 unequal: No Solution
Exploring Operation: 73-70=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 70+73=143, Resulting Numbers: [143]
143,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[70, 79], Operations: ['84-14=70', '3+76=79']
Exploring Operation: 70+79=149, Resulting Numbers: [149]
149,10 unequal: No Solution
Exploring Operation: 70*79=5530, Resulting Numbers: [5530]
5530,10 unequal: No Solution
Exploring Operation: 79-70=9, Resulting Numbers: [9]
9,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 10:[76, 73], Operations: ['84-14=70', '3+70=73']
Exploring Operation: 76+73=149, Resulting Numbers: [149]
149,10 unequal: No Solution
Exploring Operation: 76-73=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 76*73=5548, Resulting Numbers: [5548]
5548,10 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: 10:[84, 3, 62], Operations: ['76-14=62']
Exploring Operation: 84-3=81, Resulting Numbers: [62, 81]
Generated Node #0,1,0: 10:[62, 81] Operation: 84-3=81
Exploring Operation: 84/3=28, Resulting Numbers: [62, 28]
Generated Node #0,1,1: 10:[62, 28] Operation: 84/3=28
Exploring Operation: 84-62=22, Resulting Numbers: [3, 22]
Generated Node #0,1,2: 10:[3, 22] Operation: 84-62=22
Exploring Operation: 84+3=87, Resulting Numbers: [62, 87]
Generated Node #0,1,3: 10:[62, 87] Operation: 84+3=87
Exploring Operation: 62-3=59, Resulting Numbers: [84, 59]
Generated Node #0,1,4: 10:[84, 59] Operation: 62-3=59
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 10:[3, 22], Operations: ['76-14=62', '84-62=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,10 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[62, 28], Operations: ['76-14=62', '84/3=28']
Exploring Operation: 62*28=1736, Resulting Numbers: [1736]
1736,10 unequal: No Solution
Exploring Operation: 62+28=90, Resulting Numbers: [90]
90,10 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[62, 81], Operations: ['76-14=62', '84-3=81']
Exploring Operation: 81-62=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 62+81=143, Resulting Numbers: [143]
143,10 unequal: No Solution
Exploring Operation: 62*81=5022, Resulting Numbers: [5022]
5022,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 10:[84, 59], Operations: ['76-14=62', '62-3=59']
Exploring Operation: 84+59=143, Resulting Numbers: [143]
143,10 unequal: No Solution
Exploring Operation: 84-59=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 84*59=4956, Resulting Numbers: [4956]
4956,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 10:[62, 87], Operations: ['76-14=62', '84+3=87']
Exploring Operation: 62+87=149, Resulting Numbers: [149]
149,10 unequal: No Solution
Exploring Operation: 87-62=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 62*87=5394, Resulting Numbers: [5394]
5394,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,3
Current State: 10:[3, 6], Operations: ['84-76=8', '14-8=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Moving to Node #0,4,4
Current State: 10:[8, 11], Operations: ['84-76=8', '14-3=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,10 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Moving to Node #0,4,2
Current State: 10:[14, 5], Operations: ['84-76=8', '8-3=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,10 unequal: No Solution
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Moving to Node #0,4,1
Current State: 10:[14, 11], Operations: ['84-76=8', '3+8=11']
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,10 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Moving to Node #0,4,0
Current State: 10:[8, 17], Operations: ['84-76=8', '14+3=17']
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,10 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,10 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
96,
34,
40,
51
] | 24 | [
"96*34=3264",
"3264/51=64",
"64-40=24"
] | Current State: 24:[96, 34, 40, 51], Operations: []
Exploring Operation: 96*34=3264, Resulting Numbers: [40, 51, 3264]
Generated Node #2: [40, 51, 3264] from Operation: 96*34=3264
Current State: 24:[40, 51, 3264], Operations: ['96*34=3264']
Exploring Operation: 3264/51=64, Resulting Numbers: [40, 64]
Generated Node #3: [40, 64] from Operation: 3264/51=64
Current State: 24:[40, 64], Operations: ['96*34=3264', '3264/51=64']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[96, 34, 40, 51], Operations: []
Exploring Operation: 51-40=11, Resulting Numbers: [96, 34, 11]
Generated Node #0,0: 24:[96, 34, 11] Operation: 51-40=11
Exploring Operation: 96-34=62, Resulting Numbers: [40, 51, 62]
Generated Node #0,1: 24:[40, 51, 62] Operation: 96-34=62
Exploring Operation: 96-51=45, Resulting Numbers: [34, 40, 45]
Generated Node #0,2: 24:[34, 40, 45] Operation: 96-51=45
Exploring Operation: 96-40=56, Resulting Numbers: [34, 51, 56]
Generated Node #0,3: 24:[34, 51, 56] Operation: 96-40=56
Moving to Node #0,2
Current State: 24:[34, 40, 45], Operations: ['96-51=45']
Exploring Operation: 40-34=6, Resulting Numbers: [45, 6]
Generated Node #0,2,0: 24:[45, 6] Operation: 40-34=6
Exploring Operation: 45-34=11, Resulting Numbers: [40, 11]
Generated Node #0,2,1: 24:[40, 11] Operation: 45-34=11
Exploring Operation: 45-40=5, Resulting Numbers: [34, 5]
Generated Node #0,2,2: 24:[34, 5] Operation: 45-40=5
Exploring Operation: 34+40=74, Resulting Numbers: [45, 74]
Generated Node #0,2,3: 24:[45, 74] Operation: 34+40=74
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 24:[34, 5], Operations: ['96-51=45', '45-40=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,24 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,24 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:[40, 11], Operations: ['96-51=45', '45-34=11']
Exploring Operation: 40*11=440, Resulting Numbers: [440]
440,24 unequal: No Solution
Exploring Operation: 40+11=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,24 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:[45, 6], Operations: ['96-51=45', '40-34=6']
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 45*6=270, Resulting Numbers: [270]
270,24 unequal: No Solution
Exploring Operation: 45-6=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 #0,2,3
Current State: 24:[45, 74], Operations: ['96-51=45', '34+40=74']
Exploring Operation: 45+74=119, Resulting Numbers: [119]
119,24 unequal: No Solution
Exploring Operation: 45*74=3330, Resulting Numbers: [3330]
3330,24 unequal: No Solution
Exploring Operation: 74-45=29, Resulting Numbers: [29]
29,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 24:[34, 51, 56], Operations: ['96-40=56']
Exploring Operation: 34+51=85, Resulting Numbers: [56, 85]
Generated Node #0,3,0: 24:[56, 85] Operation: 34+51=85
Exploring Operation: 51-34=17, Resulting Numbers: [56, 17]
Generated Node #0,3,1: 24:[56, 17] Operation: 51-34=17
Exploring Operation: 56-34=22, Resulting Numbers: [51, 22]
Generated Node #0,3,2: 24:[51, 22] Operation: 56-34=22
Exploring Operation: 56-51=5, Resulting Numbers: [34, 5]
Generated Node #0,3,3: 24:[34, 5] Operation: 56-51=5
Moving to Node #0,1
Current State: 24:[40, 51, 62], Operations: ['96-34=62']
Exploring Operation: 62-40=22, Resulting Numbers: [51, 22]
Generated Node #0,1,0: 24:[51, 22] Operation: 62-40=22
Exploring Operation: 62-51=11, Resulting Numbers: [40, 11]
Generated Node #0,1,1: 24:[40, 11] Operation: 62-51=11
Exploring Operation: 40+51=91, Resulting Numbers: [62, 91]
Generated Node #0,1,2: 24:[62, 91] Operation: 40+51=91
Exploring Operation: 51-40=11, Resulting Numbers: [62, 11]
Generated Node #0,1,3: 24:[62, 11] Operation: 51-40=11
Moving to Node #0,0
Current State: 24:[96, 34, 11], Operations: ['51-40=11']
Exploring Operation: 96-34=62, Resulting Numbers: [11, 62]
Generated Node #0,0,0: 24:[11, 62] Operation: 96-34=62
Exploring Operation: 96+11=107, Resulting Numbers: [34, 107]
Generated Node #0,0,1: 24:[34, 107] Operation: 96+11=107
Exploring Operation: 34-11=23, Resulting Numbers: [96, 23]
Generated Node #0,0,2: 24:[96, 23] Operation: 34-11=23
Exploring Operation: 96-11=85, Resulting Numbers: [34, 85]
Generated Node #0,0,3: 24:[34, 85] Operation: 96-11=85
Moving to Node #0,3,3
Current State: 24:[34, 5], Operations: ['96-40=56', '56-51=5']
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,24 unequal: No Solution
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,24 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[40, 11], Operations: ['96-34=62', '62-51=11']
Exploring Operation: 40*11=440, Resulting Numbers: [440]
440,24 unequal: No Solution
Exploring Operation: 40+11=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[51, 22], Operations: ['96-34=62', '62-40=22']
Exploring Operation: 51*22=1122, Resulting Numbers: [1122]
1122,24 unequal: No Solution
Exploring Operation: 51+22=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Moving to Node #0,3,2
Current State: 24:[51, 22], Operations: ['96-40=56', '56-34=22']
Exploring Operation: 51+22=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 51*22=1122, Resulting Numbers: [1122]
1122,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[56, 17], Operations: ['96-40=56', '51-34=17']
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,24 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,24 unequal: No Solution
Moving to Node #0,1,3
Current State: 24:[62, 11], Operations: ['96-34=62', '51-40=11']
Exploring Operation: 62+11=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 62*11=682, Resulting Numbers: [682]
682,24 unequal: No Solution
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[11, 62], Operations: ['51-40=11', '96-34=62']
Exploring Operation: 11*62=682, Resulting Numbers: [682]
682,24 unequal: No Solution
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 11+62=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Moving to Node #0,0,3
Current State: 24:[34, 85], Operations: ['51-40=11', '96-11=85']
Exploring Operation: 34*85=2890, Resulting Numbers: [2890]
2890,24 unequal: No Solution
Exploring Operation: 85-34=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 34+85=119, Resulting Numbers: [119]
119,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[96, 23], Operations: ['51-40=11', '34-11=23']
Exploring Operation: 96*23=2208, Resulting Numbers: [2208]
2208,24 unequal: No Solution
Exploring Operation: 96+23=119, Resulting Numbers: [119]
119,24 unequal: No Solution
Exploring Operation: 96-23=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[34, 107], Operations: ['51-40=11', '96+11=107']
Exploring Operation: 34+107=141, Resulting Numbers: [141]
141,24 unequal: No Solution
Exploring Operation: 34*107=3638, Resulting Numbers: [3638]
3638,24 unequal: No Solution
Exploring Operation: 107-34=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[56, 85], Operations: ['96-40=56', '34+51=85']
Exploring Operation: 56+85=141, Resulting Numbers: [141]
141,24 unequal: No Solution
Exploring Operation: 56*85=4760, Resulting Numbers: [4760]
4760,24 unequal: No Solution
Exploring Operation: 85-56=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[62, 91], Operations: ['96-34=62', '40+51=91']
Exploring Operation: 91-62=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 62+91=153, Resulting Numbers: [153]
153,24 unequal: No Solution
Exploring Operation: 62*91=5642, Resulting Numbers: [5642]
5642,24 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
15,
68,
92,
82
] | 93 | [
"15+68=83",
"92-82=10",
"83+10=93"
] | Current State: 93:[15, 68, 92, 82], Operations: []
Exploring Operation: 15+68=83, Resulting Numbers: [92, 82, 83]
Generated Node #2: [92, 82, 83] from Operation: 15+68=83
Current State: 93:[92, 82, 83], Operations: ['15+68=83']
Exploring Operation: 92-82=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 92-82=10
Current State: 93:[83, 10], Operations: ['15+68=83', '92-82=10']
Exploring Operation: 83+10=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[15, 68, 92, 82], Operations: []
Exploring Operation: 15+82=97, Resulting Numbers: [68, 92, 97]
Generated Node #0,0: 93:[68, 92, 97] Operation: 15+82=97
Exploring Operation: 15+68=83, Resulting Numbers: [92, 82, 83]
Generated Node #0,1: 93:[92, 82, 83] Operation: 15+68=83
Exploring Operation: 82-68=14, Resulting Numbers: [15, 92, 14]
Generated Node #0,2: 93:[15, 92, 14] Operation: 82-68=14
Moving to Node #0,1
Current State: 93:[92, 82, 83], Operations: ['15+68=83']
Exploring Operation: 92-82=10, Resulting Numbers: [83, 10]
Generated Node #0,1,0: 93:[83, 10] Operation: 92-82=10
Exploring Operation: 83-82=1, Resulting Numbers: [92, 1]
Generated Node #0,1,1: 93:[92, 1] Operation: 83-82=1
Exploring Operation: 92-83=9, Resulting Numbers: [82, 9]
Generated Node #0,1,2: 93:[82, 9] Operation: 92-83=9
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[92, 1], Operations: ['15+68=83', '83-82=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[15, 68, 92, 82], Operations: []
Exploring Operation: 15+68=83, Resulting Numbers: [92, 82, 83]
Generated Node #0,1: 93:[92, 82, 83] Operation: 15+68=83
Moving to Node #0,1
Current State: 93:[92, 82, 83], Operations: ['15+68=83']
Exploring Operation: 83-82=1, Resulting Numbers: [92, 1]
Generated Node #0,1,1: 93:[92, 1] Operation: 83-82=1
Moving to Node #0,1,1
Current State: 93:[92, 1], Operations: ['15+68=83', '83-82=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
15,
17,
7,
59
] | 29 | [
"15*7=105",
"17+59=76",
"105-76=29"
] | Current State: 29:[15, 17, 7, 59], Operations: []
Exploring Operation: 15*7=105, Resulting Numbers: [17, 59, 105]
Generated Node #2: [17, 59, 105] from Operation: 15*7=105
Current State: 29:[17, 59, 105], Operations: ['15*7=105']
Exploring Operation: 17+59=76, Resulting Numbers: [105, 76]
Generated Node #3: [105, 76] from Operation: 17+59=76
Current State: 29:[105, 76], Operations: ['15*7=105', '17+59=76']
Exploring Operation: 105-76=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[15, 17, 7, 59], Operations: []
Exploring Operation: 15+7=22, Resulting Numbers: [17, 59, 22]
Generated Node #0,0: 29:[17, 59, 22] Operation: 15+7=22
Exploring Operation: 59-15=44, Resulting Numbers: [17, 7, 44]
Generated Node #0,1: 29:[17, 7, 44] Operation: 59-15=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[17, 59, 22], Operations: ['15+7=22']
Exploring Operation: 59-22=37, Resulting Numbers: [17, 37]
Generated Node #0,0,0: 29:[17, 37] Operation: 59-22=37
Exploring Operation: 59-17=42, Resulting Numbers: [22, 42]
Generated Node #0,0,1: 29:[22, 42] Operation: 59-17=42
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 29:[17, 37], Operations: ['15+7=22', '59-22=37']
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 17+37=54, Resulting Numbers: [54]
54,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 29:[22, 42], Operations: ['15+7=22', '59-17=42']
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,29 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[17, 7, 44], Operations: ['59-15=44']
Exploring Operation: 44-7=37, Resulting Numbers: [17, 37]
Generated Node #0,1,0: 29:[17, 37] Operation: 44-7=37
Exploring Operation: 17+7=24, Resulting Numbers: [44, 24]
Generated Node #0,1,1: 29:[44, 24] Operation: 17+7=24
Moving to Node #0,1,0
Current State: 29:[17, 37], Operations: ['59-15=44', '44-7=37']
Exploring Operation: 17+37=54, Resulting Numbers: [54]
54,29 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[44, 24], Operations: ['59-15=44', '17+7=24']
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
86,
9,
81,
27
] | 23 | [
"86-9=77",
"81-27=54",
"77-54=23"
] | Current State: 23:[86, 9, 81, 27], Operations: []
Exploring Operation: 86-9=77, Resulting Numbers: [81, 27, 77]
Generated Node #2: [81, 27, 77] from Operation: 86-9=77
Current State: 23:[81, 27, 77], Operations: ['86-9=77']
Exploring Operation: 81-27=54, Resulting Numbers: [77, 54]
Generated Node #3: [77, 54] from Operation: 81-27=54
Current State: 23:[77, 54], Operations: ['86-9=77', '81-27=54']
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[86, 9, 81, 27], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [9, 27, 5]
Generated Node #0,0: 23:[9, 27, 5] Operation: 86-81=5
Exploring Operation: 86-27=59, Resulting Numbers: [9, 81, 59]
Generated Node #0,1: 23:[9, 81, 59] Operation: 86-27=59
Exploring Operation: 81/9=9, Resulting Numbers: [86, 27, 9]
Generated Node #0,2: 23:[86, 27, 9] Operation: 81/9=9
Exploring Operation: 81/27=3, Resulting Numbers: [86, 9, 3]
Generated Node #0,3: 23:[86, 9, 3] Operation: 81/27=3
Exploring Operation: 81-27=54, Resulting Numbers: [86, 9, 54]
Generated Node #0,4: 23:[86, 9, 54] Operation: 81-27=54
Moving to Node #0,0
Current State: 23:[9, 27, 5], Operations: ['86-81=5']
Exploring Operation: 9-5=4, Resulting Numbers: [27, 4]
Generated Node #0,0,0: 23:[27, 4] Operation: 9-5=4
Exploring Operation: 27-9=18, Resulting Numbers: [5, 18]
Generated Node #0,0,1: 23:[5, 18] Operation: 27-9=18
Exploring Operation: 27+5=32, Resulting Numbers: [9, 32]
Generated Node #0,0,2: 23:[9, 32] Operation: 27+5=32
Exploring Operation: 9+5=14, Resulting Numbers: [27, 14]
Generated Node #0,0,3: 23:[27, 14] Operation: 9+5=14
Exploring Operation: 27-5=22, Resulting Numbers: [9, 22]
Generated Node #0,0,4: 23:[9, 22] Operation: 27-5=22
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 23:[27, 14], Operations: ['86-81=5', '9+5=14']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,23 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 23:[9, 22], Operations: ['86-81=5', '27-5=22']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,23 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[27, 4], Operations: ['86-81=5', '9-5=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,23 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[86, 9, 81, 27], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [9, 27, 5]
Generated Node #0,0: 23:[9, 27, 5] Operation: 86-81=5
Moving to Node #0,0
Current State: 23:[9, 27, 5], Operations: ['86-81=5']
Exploring Operation: 9-5=4, Resulting Numbers: [27, 4]
Generated Node #0,0,0: 23:[27, 4] Operation: 9-5=4
Moving to Node #0,0,0
Current State: 23:[27, 4], Operations: ['86-81=5', '9-5=4']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | sum_heuristic |
[
64,
9,
25,
63
] | 67 | [
"25-9=16",
"64/16=4",
"63+4=67"
] | Current State: 67:[64, 9, 25, 63], Operations: []
Exploring Operation: 25-9=16, Resulting Numbers: [64, 63, 16]
Generated Node #2: [64, 63, 16] from Operation: 25-9=16
Current State: 67:[64, 63, 16], Operations: ['25-9=16']
Exploring Operation: 64/16=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 64/16=4
Current State: 67:[63, 4], Operations: ['25-9=16', '64/16=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[64, 9, 25, 63], Operations: []
Exploring Operation: 9+25=34, Resulting Numbers: [64, 63, 34]
Generated Node #0,0: 67:[64, 63, 34] Operation: 9+25=34
Exploring Operation: 9+63=72, Resulting Numbers: [64, 25, 72]
Generated Node #0,1: 67:[64, 25, 72] Operation: 9+63=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[64, 63, 34], Operations: ['9+25=34']
Exploring Operation: 63+34=97, Resulting Numbers: [64, 97]
Generated Node #0,0,0: 67:[64, 97] Operation: 63+34=97
Exploring Operation: 64+34=98, Resulting Numbers: [63, 98]
Generated Node #0,0,1: 67:[63, 98] Operation: 64+34=98
Moving to Node #0,0,0
Current State: 67:[64, 97], Operations: ['9+25=34', '63+34=97']
Exploring Operation: 64+97=161, Resulting Numbers: [161]
161,67 unequal: No Solution
Exploring Operation: 97-64=33, Resulting Numbers: [33]
33,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[63, 98], Operations: ['9+25=34', '64+34=98']
Exploring Operation: 63+98=161, Resulting Numbers: [161]
161,67 unequal: No Solution
Exploring Operation: 98-63=35, Resulting Numbers: [35]
35,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[64, 25, 72], Operations: ['9+63=72']
Exploring Operation: 72-25=47, Resulting Numbers: [64, 47]
Generated Node #0,1,0: 67:[64, 47] Operation: 72-25=47
Exploring Operation: 64+25=89, Resulting Numbers: [72, 89]
Generated Node #0,1,1: 67:[72, 89] Operation: 64+25=89
Moving to Node #0,1,0
Current State: 67:[64, 47], Operations: ['9+63=72', '72-25=47']
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,67 unequal: No Solution
Exploring Operation: 64+47=111, Resulting Numbers: [111]
111,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[72, 89], Operations: ['9+63=72', '64+25=89']
Exploring Operation: 89-72=17, Resulting Numbers: [17]
17,67 unequal: No Solution
Exploring Operation: 72+89=161, Resulting Numbers: [161]
161,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
73,
94,
3,
99
] | 40 | [
"94-73=21",
"99+21=120",
"120/3=40"
] | Current State: 40:[73, 94, 3, 99], Operations: []
Exploring Operation: 94-73=21, Resulting Numbers: [3, 99, 21]
Generated Node #2: [3, 99, 21] from Operation: 94-73=21
Current State: 40:[3, 99, 21], Operations: ['94-73=21']
Exploring Operation: 99+21=120, Resulting Numbers: [3, 120]
Generated Node #3: [3, 120] from Operation: 99+21=120
Current State: 40:[3, 120], Operations: ['94-73=21', '99+21=120']
Exploring Operation: 120/3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[73, 94, 3, 99], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [73, 3, 5]
Generated Node #0,0: 40:[73, 3, 5] Operation: 99-94=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[73, 3, 5], Operations: ['99-94=5']
Exploring Operation: 73-5=68, Resulting Numbers: [3, 68]
Generated Node #0,0,0: 40:[3, 68] Operation: 73-5=68
Moving to Node #0,0,0
Current State: 40:[3, 68], Operations: ['99-94=5', '73-5=68']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,40 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 |
[
69,
90,
70,
63
] | 55 | [
"69-63=6",
"90/6=15",
"70-15=55"
] | Current State: 55:[69, 90, 70, 63], Operations: []
Exploring Operation: 69-63=6, Resulting Numbers: [90, 70, 6]
Generated Node #2: [90, 70, 6] from Operation: 69-63=6
Current State: 55:[90, 70, 6], Operations: ['69-63=6']
Exploring Operation: 90/6=15, Resulting Numbers: [70, 15]
Generated Node #3: [70, 15] from Operation: 90/6=15
Current State: 55:[70, 15], Operations: ['69-63=6', '90/6=15']
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[69, 90, 70, 63], Operations: []
Exploring Operation: 90-70=20, Resulting Numbers: [69, 63, 20]
Generated Node #0,0: 55:[69, 63, 20] Operation: 90-70=20
Moving to Node #0,0
Current State: 55:[69, 63, 20], Operations: ['90-70=20']
Exploring Operation: 69-63=6, Resulting Numbers: [20, 6]
Generated Node #0,0,0: 55:[20, 6] Operation: 69-63=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[20, 6], Operations: ['90-70=20', '69-63=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,55 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 |
[
93,
3,
33,
25
] | 98 | [
"93-3=90",
"33-25=8",
"90+8=98"
] | Current State: 98:[93, 3, 33, 25], Operations: []
Exploring Operation: 93-3=90, Resulting Numbers: [33, 25, 90]
Generated Node #2: [33, 25, 90] from Operation: 93-3=90
Current State: 98:[33, 25, 90], Operations: ['93-3=90']
Exploring Operation: 33-25=8, Resulting Numbers: [90, 8]
Generated Node #3: [90, 8] from Operation: 33-25=8
Current State: 98:[90, 8], Operations: ['93-3=90', '33-25=8']
Exploring Operation: 90+8=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[93, 3, 33, 25], Operations: []
Exploring Operation: 33+25=58, Resulting Numbers: [93, 3, 58]
Generated Node #0,0: 98:[93, 3, 58] Operation: 33+25=58
Exploring Operation: 33-25=8, Resulting Numbers: [93, 3, 8]
Generated Node #0,1: 98:[93, 3, 8] Operation: 33-25=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[93, 3, 8], Operations: ['33-25=8']
Exploring Operation: 93+3=96, Resulting Numbers: [8, 96]
Generated Node #0,1,0: 98:[8, 96] Operation: 93+3=96
Exploring Operation: 93+8=101, Resulting Numbers: [3, 101]
Generated Node #0,1,1: 98:[3, 101] Operation: 93+8=101
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 98:[8, 96], Operations: ['33-25=8', '93+3=96']
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,98 unequal: No Solution
Exploring Operation: 8+96=104, Resulting Numbers: [104]
104,98 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 #0,1,1
Current State: 98:[3, 101], Operations: ['33-25=8', '93+8=101']
Exploring Operation: 3+101=104, Resulting Numbers: [104]
104,98 unequal: No Solution
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[93, 3, 33, 25], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [93, 3, 8]
Generated Node #0,1: 98:[93, 3, 8] Operation: 33-25=8
Moving to Node #0,1
Current State: 98:[93, 3, 8], Operations: ['33-25=8']
Exploring Operation: 93+8=101, Resulting Numbers: [3, 101]
Generated Node #0,1,1: 98:[3, 101] Operation: 93+8=101
Moving to Node #0,1,1
Current State: 98:[3, 101], Operations: ['33-25=8', '93+8=101']
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
72,
98,
35,
16
] | 20 | [
"72-16=56",
"35*56=1960",
"1960/98=20"
] | Current State: 20:[72, 98, 35, 16], Operations: []
Exploring Operation: 72-16=56, Resulting Numbers: [98, 35, 56]
Generated Node #2: [98, 35, 56] from Operation: 72-16=56
Current State: 20:[98, 35, 56], Operations: ['72-16=56']
Exploring Operation: 35*56=1960, Resulting Numbers: [98, 1960]
Generated Node #3: [98, 1960] from Operation: 35*56=1960
Current State: 20:[98, 1960], Operations: ['72-16=56', '35*56=1960']
Exploring Operation: 1960/98=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[72, 98, 35, 16], Operations: []
Exploring Operation: 72-35=37, Resulting Numbers: [98, 16, 37]
Generated Node #0,0: 20:[98, 16, 37] Operation: 72-35=37
Exploring Operation: 98-35=63, Resulting Numbers: [72, 16, 63]
Generated Node #0,1: 20:[72, 16, 63] Operation: 98-35=63
Exploring Operation: 98-72=26, Resulting Numbers: [35, 16, 26]
Generated Node #0,2: 20:[35, 16, 26] Operation: 98-72=26
Exploring Operation: 72-16=56, Resulting Numbers: [98, 35, 56]
Generated Node #0,3: 20:[98, 35, 56] Operation: 72-16=56
Exploring Operation: 98-16=82, Resulting Numbers: [72, 35, 82]
Generated Node #0,4: 20:[72, 35, 82] Operation: 98-16=82
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[35, 16, 26], Operations: ['98-72=26']
Exploring Operation: 35+16=51, Resulting Numbers: [26, 51]
Generated Node #0,2,0: 20:[26, 51] Operation: 35+16=51
Exploring Operation: 16+26=42, Resulting Numbers: [35, 42]
Generated Node #0,2,1: 20:[35, 42] Operation: 16+26=42
Exploring Operation: 26-16=10, Resulting Numbers: [35, 10]
Generated Node #0,2,2: 20:[35, 10] Operation: 26-16=10
Exploring Operation: 35-16=19, Resulting Numbers: [26, 19]
Generated Node #0,2,3: 20:[26, 19] Operation: 35-16=19
Exploring Operation: 35-26=9, Resulting Numbers: [16, 9]
Generated Node #0,2,4: 20:[16, 9] Operation: 35-26=9
Moving to Node #0,2,4
Current State: 20:[16, 9], Operations: ['98-72=26', '35-26=9']
Exploring Operation: 16*9=144, Resulting Numbers: [144]
144,20 unequal: No Solution
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Moving to Node #0,2,3
Current State: 20:[26, 19], Operations: ['98-72=26', '35-16=19']
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 26*19=494, Resulting Numbers: [494]
494,20 unequal: No Solution
Exploring Operation: 26+19=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Moving to Node #0,2,2
Current State: 20:[35, 10], Operations: ['98-72=26', '26-16=10']
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,20 unequal: No Solution
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Moving to Node #0,2,0
Current State: 20:[26, 51], Operations: ['98-72=26', '35+16=51']
Exploring Operation: 26+51=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Exploring Operation: 26*51=1326, Resulting Numbers: [1326]
1326,20 unequal: No Solution
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Moving to Node #0,2,1
Current State: 20:[35, 42], Operations: ['98-72=26', '16+26=42']
Exploring Operation: 42-35=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 35*42=1470, Resulting Numbers: [1470]
1470,20 unequal: No Solution
Exploring Operation: 35+42=77, Resulting Numbers: [77]
77,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[98, 16, 37], Operations: ['72-35=37']
Exploring Operation: 98+16=114, Resulting Numbers: [37, 114]
Generated Node #0,0,0: 20:[37, 114] Operation: 98+16=114
Exploring Operation: 37-16=21, Resulting Numbers: [98, 21]
Generated Node #0,0,1: 20:[98, 21] Operation: 37-16=21
Exploring Operation: 98-37=61, Resulting Numbers: [16, 61]
Generated Node #0,0,2: 20:[16, 61] Operation: 98-37=61
Exploring Operation: 16+37=53, Resulting Numbers: [98, 53]
Generated Node #0,0,3: 20:[98, 53] Operation: 16+37=53
Exploring Operation: 98-16=82, Resulting Numbers: [37, 82]
Generated Node #0,0,4: 20:[37, 82] Operation: 98-16=82
Moving to Node #0,0,2
Current State: 20:[16, 61], Operations: ['72-35=37', '98-37=61']
Exploring Operation: 16+61=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 16*61=976, Resulting Numbers: [976]
976,20 unequal: No Solution
Moving to Node #0,0,4
Current State: 20:[37, 82], Operations: ['72-35=37', '98-16=82']
Exploring Operation: 37*82=3034, Resulting Numbers: [3034]
3034,20 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 37+82=119, Resulting Numbers: [119]
119,20 unequal: No Solution
Moving to Node #0,0,1
Current State: 20:[98, 21], Operations: ['72-35=37', '37-16=21']
Exploring Operation: 98+21=119, Resulting Numbers: [119]
119,20 unequal: No Solution
Exploring Operation: 98*21=2058, Resulting Numbers: [2058]
2058,20 unequal: No Solution
Exploring Operation: 98-21=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[37, 114], Operations: ['72-35=37', '98+16=114']
Exploring Operation: 37+114=151, Resulting Numbers: [151]
151,20 unequal: No Solution
Exploring Operation: 37*114=4218, Resulting Numbers: [4218]
4218,20 unequal: No Solution
Exploring Operation: 114-37=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Moving to Node #0,0,3
Current State: 20:[98, 53], Operations: ['72-35=37', '16+37=53']
Exploring Operation: 98-53=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 98*53=5194, Resulting Numbers: [5194]
5194,20 unequal: No Solution
Exploring Operation: 98+53=151, Resulting Numbers: [151]
151,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[72, 16, 63], Operations: ['98-35=63']
Exploring Operation: 63-16=47, Resulting Numbers: [72, 47]
Generated Node #0,1,0: 20:[72, 47] Operation: 63-16=47
Exploring Operation: 72+16=88, Resulting Numbers: [63, 88]
Generated Node #0,1,1: 20:[63, 88] Operation: 72+16=88
Exploring Operation: 16+63=79, Resulting Numbers: [72, 79]
Generated Node #0,1,2: 20:[72, 79] Operation: 16+63=79
Exploring Operation: 72-63=9, Resulting Numbers: [16, 9]
Generated Node #0,1,3: 20:[16, 9] Operation: 72-63=9
Exploring Operation: 72-16=56, Resulting Numbers: [63, 56]
Generated Node #0,1,4: 20:[63, 56] Operation: 72-16=56
Moving to Node #0,1,3
Current State: 20:[16, 9], Operations: ['98-35=63', '72-63=9']
Exploring Operation: 16*9=144, Resulting Numbers: [144]
144,20 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Moving to Node #0,1,4
Current State: 20:[63, 56], Operations: ['98-35=63', '72-16=56']
Exploring Operation: 63+56=119, Resulting Numbers: [119]
119,20 unequal: No Solution
Exploring Operation: 63*56=3528, Resulting Numbers: [3528]
3528,20 unequal: No Solution
Exploring Operation: 63-56=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[72, 47], Operations: ['98-35=63', '63-16=47']
Exploring Operation: 72*47=3384, Resulting Numbers: [3384]
3384,20 unequal: No Solution
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 72+47=119, Resulting Numbers: [119]
119,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[63, 88], Operations: ['98-35=63', '72+16=88']
Exploring Operation: 63*88=5544, Resulting Numbers: [5544]
5544,20 unequal: No Solution
Exploring Operation: 88-63=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 63+88=151, Resulting Numbers: [151]
151,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[72, 79], Operations: ['98-35=63', '16+63=79']
Exploring Operation: 79-72=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 72*79=5688, Resulting Numbers: [5688]
5688,20 unequal: No Solution
Exploring Operation: 72+79=151, Resulting Numbers: [151]
151,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 20:[98, 35, 56], Operations: ['72-16=56']
Exploring Operation: 98+56=154, Resulting Numbers: [35, 154]
Generated Node #0,3,0: 20:[35, 154] Operation: 98+56=154
Exploring Operation: 98-56=42, Resulting Numbers: [35, 42]
Generated Node #0,3,1: 20:[35, 42] Operation: 98-56=42
Exploring Operation: 56-35=21, Resulting Numbers: [98, 21]
Generated Node #0,3,2: 20:[98, 21] Operation: 56-35=21
Exploring Operation: 98-35=63, Resulting Numbers: [56, 63]
Generated Node #0,3,3: 20:[56, 63] Operation: 98-35=63
Exploring Operation: 98+35=133, Resulting Numbers: [56, 133]
Generated Node #0,3,4: 20:[56, 133] Operation: 98+35=133
Moving to Node #0,3,1
Current State: 20:[35, 42], Operations: ['72-16=56', '98-56=42']
Exploring Operation: 35+42=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Exploring Operation: 35*42=1470, Resulting Numbers: [1470]
1470,20 unequal: No Solution
Exploring Operation: 42-35=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Moving to Node #0,3,3
Current State: 20:[56, 63], Operations: ['72-16=56', '98-35=63']
Exploring Operation: 56*63=3528, Resulting Numbers: [3528]
3528,20 unequal: No Solution
Exploring Operation: 63-56=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 56+63=119, Resulting Numbers: [119]
119,20 unequal: No Solution
Moving to Node #0,3,2
Current State: 20:[98, 21], Operations: ['72-16=56', '56-35=21']
Exploring Operation: 98*21=2058, Resulting Numbers: [2058]
2058,20 unequal: No Solution
Exploring Operation: 98+21=119, Resulting Numbers: [119]
119,20 unequal: No Solution
Exploring Operation: 98-21=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Moving to Node #0,3,0
Current State: 20:[35, 154], Operations: ['72-16=56', '98+56=154']
Exploring Operation: 35+154=189, Resulting Numbers: [189]
189,20 unequal: No Solution
Exploring Operation: 154-35=119, Resulting Numbers: [119]
119,20 unequal: No Solution
Exploring Operation: 35*154=5390, Resulting Numbers: [5390]
5390,20 unequal: No Solution
Moving to Node #0,3,4
Current State: 20:[56, 133], Operations: ['72-16=56', '98+35=133']
Exploring Operation: 56*133=7448, Resulting Numbers: [7448]
7448,20 unequal: No Solution
Exploring Operation: 56+133=189, Resulting Numbers: [189]
189,20 unequal: No Solution
Exploring Operation: 133-56=77, Resulting Numbers: [77]
77,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 20:[72, 35, 82], Operations: ['98-16=82']
Exploring Operation: 72-35=37, Resulting Numbers: [82, 37]
Generated Node #0,4,0: 20:[82, 37] Operation: 72-35=37
Exploring Operation: 72+82=154, Resulting Numbers: [35, 154]
Generated Node #0,4,1: 20:[35, 154] Operation: 72+82=154
Exploring Operation: 72+35=107, Resulting Numbers: [82, 107]
Generated Node #0,4,2: 20:[82, 107] Operation: 72+35=107
Exploring Operation: 82-35=47, Resulting Numbers: [72, 47]
Generated Node #0,4,3: 20:[72, 47] Operation: 82-35=47
Exploring Operation: 82-72=10, Resulting Numbers: [35, 10]
Generated Node #0,4,4: 20:[35, 10] Operation: 82-72=10
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 20:[35, 10], Operations: ['98-16=82', '82-72=10']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,20 unequal: No Solution
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 20:[82, 37], Operations: ['98-16=82', '72-35=37']
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 82+37=119, Resulting Numbers: [119]
119,20 unequal: No Solution
Exploring Operation: 82*37=3034, Resulting Numbers: [3034]
3034,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 20:[72, 47], Operations: ['98-16=82', '82-35=47']
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 72*47=3384, Resulting Numbers: [3384]
3384,20 unequal: No Solution
Exploring Operation: 72+47=119, Resulting Numbers: [119]
119,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 20:[35, 154], Operations: ['98-16=82', '72+82=154']
Exploring Operation: 35*154=5390, Resulting Numbers: [5390]
5390,20 unequal: No Solution
Exploring Operation: 154-35=119, Resulting Numbers: [119]
119,20 unequal: No Solution
Exploring Operation: 35+154=189, Resulting Numbers: [189]
189,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 20:[82, 107], Operations: ['98-16=82', '72+35=107']
Exploring Operation: 82*107=8774, Resulting Numbers: [8774]
8774,20 unequal: No Solution
Exploring Operation: 82+107=189, Resulting Numbers: [189]
189,20 unequal: No Solution
Exploring Operation: 107-82=25, Resulting Numbers: [25]
25,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
15,
7,
82,
9
] | 81 | [
"15-7=8",
"82-9=73",
"8+73=81"
] | Current State: 81:[15, 7, 82, 9], Operations: []
Exploring Operation: 15-7=8, Resulting Numbers: [82, 9, 8]
Generated Node #2: [82, 9, 8] from Operation: 15-7=8
Current State: 81:[82, 9, 8], Operations: ['15-7=8']
Exploring Operation: 82-9=73, Resulting Numbers: [8, 73]
Generated Node #3: [8, 73] from Operation: 82-9=73
Current State: 81:[8, 73], Operations: ['15-7=8', '82-9=73']
Exploring Operation: 8+73=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[15, 7, 82, 9], Operations: []
Exploring Operation: 15-7=8, Resulting Numbers: [82, 9, 8]
Generated Node #0,0: 81:[82, 9, 8] Operation: 15-7=8
Exploring Operation: 9-7=2, Resulting Numbers: [15, 82, 2]
Generated Node #0,1: 81:[15, 82, 2] Operation: 9-7=2
Exploring Operation: 15+9=24, Resulting Numbers: [7, 82, 24]
Generated Node #0,2: 81:[7, 82, 24] Operation: 15+9=24
Exploring Operation: 15-9=6, Resulting Numbers: [7, 82, 6]
Generated Node #0,3: 81:[7, 82, 6] Operation: 15-9=6
Exploring Operation: 15+7=22, Resulting Numbers: [82, 9, 22]
Generated Node #0,4: 81:[82, 9, 22] Operation: 15+7=22
Moving to Node #0,0
Current State: 81:[82, 9, 8], Operations: ['15-7=8']
Exploring Operation: 82+8=90, Resulting Numbers: [9, 90]
Generated Node #0,0,0: 81:[9, 90] Operation: 82+8=90
Exploring Operation: 9-8=1, Resulting Numbers: [82, 1]
Generated Node #0,0,1: 81:[82, 1] Operation: 9-8=1
Exploring Operation: 82-9=73, Resulting Numbers: [8, 73]
Generated Node #0,0,2: 81:[8, 73] Operation: 82-9=73
Exploring Operation: 9+8=17, Resulting Numbers: [82, 17]
Generated Node #0,0,3: 81:[82, 17] Operation: 9+8=17
Exploring Operation: 82-8=74, Resulting Numbers: [9, 74]
Generated Node #0,0,4: 81:[9, 74] Operation: 82-8=74
Moving to Node #0,3
Current State: 81:[7, 82, 6], Operations: ['15-9=6']
Exploring Operation: 82-7=75, Resulting Numbers: [6, 75]
Generated Node #0,3,0: 81:[6, 75] Operation: 82-7=75
Exploring Operation: 82-6=76, Resulting Numbers: [7, 76]
Generated Node #0,3,1: 81:[7, 76] Operation: 82-6=76
Exploring Operation: 82+6=88, Resulting Numbers: [7, 88]
Generated Node #0,3,2: 81:[7, 88] Operation: 82+6=88
Exploring Operation: 7+6=13, Resulting Numbers: [82, 13]
Generated Node #0,3,3: 81:[82, 13] Operation: 7+6=13
Exploring Operation: 7-6=1, Resulting Numbers: [82, 1]
Generated Node #0,3,4: 81:[82, 1] Operation: 7-6=1
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 81:[82, 1], Operations: ['15-9=6', '7-6=1']
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,81 unequal: No Solution
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[15, 7, 82, 9], Operations: []
Exploring Operation: 15-9=6, Resulting Numbers: [7, 82, 6]
Generated Node #0,3: 81:[7, 82, 6] Operation: 15-9=6
Moving to Node #0,3
Current State: 81:[7, 82, 6], Operations: ['15-9=6']
Exploring Operation: 7-6=1, Resulting Numbers: [82, 1]
Generated Node #0,3,4: 81:[82, 1] Operation: 7-6=1
Moving to Node #0,3,4
Current State: 81:[82, 1], Operations: ['15-9=6', '7-6=1']
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
35,
74,
33,
99
] | 49 | [
"35-33=2",
"74*2=148",
"148-99=49"
] | Current State: 49:[35, 74, 33, 99], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [74, 99, 2]
Generated Node #2: [74, 99, 2] from Operation: 35-33=2
Current State: 49:[74, 99, 2], Operations: ['35-33=2']
Exploring Operation: 74*2=148, Resulting Numbers: [99, 148]
Generated Node #3: [99, 148] from Operation: 74*2=148
Current State: 49:[99, 148], Operations: ['35-33=2', '74*2=148']
Exploring Operation: 148-99=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[35, 74, 33, 99], Operations: []
Exploring Operation: 99-35=64, Resulting Numbers: [74, 33, 64]
Generated Node #0,0: 49:[74, 33, 64] Operation: 99-35=64
Exploring Operation: 99/33=3, Resulting Numbers: [35, 74, 3]
Generated Node #0,1: 49:[35, 74, 3] Operation: 99/33=3
Exploring Operation: 99-74=25, Resulting Numbers: [35, 33, 25]
Generated Node #0,2: 49:[35, 33, 25] Operation: 99-74=25
Moving to Node #0,1
Current State: 49:[35, 74, 3], Operations: ['99/33=3']
Exploring Operation: 35+3=38, Resulting Numbers: [74, 38]
Generated Node #0,1,0: 49:[74, 38] Operation: 35+3=38
Exploring Operation: 74-3=71, Resulting Numbers: [35, 71]
Generated Node #0,1,1: 49:[35, 71] Operation: 74-3=71
Exploring Operation: 74-35=39, Resulting Numbers: [3, 39]
Generated Node #0,1,2: 49:[3, 39] Operation: 74-35=39
Moving to Node #0,2
Current State: 49:[35, 33, 25], Operations: ['99-74=25']
Exploring Operation: 35-25=10, Resulting Numbers: [33, 10]
Generated Node #0,2,0: 49:[33, 10] Operation: 35-25=10
Exploring Operation: 33-25=8, Resulting Numbers: [35, 8]
Generated Node #0,2,1: 49:[35, 8] Operation: 33-25=8
Exploring Operation: 35-33=2, Resulting Numbers: [25, 2]
Generated Node #0,2,2: 49:[25, 2] Operation: 35-33=2
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 49:[35, 8], Operations: ['99-74=25', '33-25=8']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,49 unequal: No Solution
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 49:[33, 10], Operations: ['99-74=25', '35-25=10']
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,49 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,49 unequal: No Solution
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[25, 2], Operations: ['99-74=25', '35-33=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,49 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,49 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,49 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: 49:[74, 33, 64], Operations: ['99-35=64']
Exploring Operation: 64-33=31, Resulting Numbers: [74, 31]
Generated Node #0,0,0: 49:[74, 31] Operation: 64-33=31
Exploring Operation: 74-64=10, Resulting Numbers: [33, 10]
Generated Node #0,0,1: 49:[33, 10] Operation: 74-64=10
Exploring Operation: 74-33=41, Resulting Numbers: [64, 41]
Generated Node #0,0,2: 49:[64, 41] Operation: 74-33=41
Moving to Node #0,1,2
Current State: 49:[3, 39], Operations: ['99/33=3', '74-35=39']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Exploring Operation: 3+39=42, Resulting Numbers: [42]
42,49 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[33, 10], Operations: ['99-35=64', '74-64=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,49 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[64, 41], Operations: ['99-35=64', '74-33=41']
Exploring Operation: 64-41=23, Resulting Numbers: [23]
23,49 unequal: No Solution
Exploring Operation: 64+41=105, Resulting Numbers: [105]
105,49 unequal: No Solution
Exploring Operation: 64*41=2624, Resulting Numbers: [2624]
2624,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[35, 71], Operations: ['99/33=3', '74-3=71']
Exploring Operation: 35*71=2485, Resulting Numbers: [2485]
2485,49 unequal: No Solution
Exploring Operation: 35+71=106, Resulting Numbers: [106]
106,49 unequal: No Solution
Exploring Operation: 71-35=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[74, 38], Operations: ['99/33=3', '35+3=38']
Exploring Operation: 74*38=2812, Resulting Numbers: [2812]
2812,49 unequal: No Solution
Exploring Operation: 74+38=112, Resulting Numbers: [112]
112,49 unequal: No Solution
Exploring Operation: 74-38=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[74, 31], Operations: ['99-35=64', '64-33=31']
Exploring Operation: 74*31=2294, Resulting Numbers: [2294]
2294,49 unequal: No Solution
Exploring Operation: 74+31=105, Resulting Numbers: [105]
105,49 unequal: No Solution
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,49 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
80,
13,
51,
12
] | 15 | [
"80*12=960",
"13+51=64",
"960/64=15"
] | Current State: 15:[80, 13, 51, 12], Operations: []
Exploring Operation: 80*12=960, Resulting Numbers: [13, 51, 960]
Generated Node #2: [13, 51, 960] from Operation: 80*12=960
Current State: 15:[13, 51, 960], Operations: ['80*12=960']
Exploring Operation: 13+51=64, Resulting Numbers: [960, 64]
Generated Node #3: [960, 64] from Operation: 13+51=64
Current State: 15:[960, 64], Operations: ['80*12=960', '13+51=64']
Exploring Operation: 960/64=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[80, 13, 51, 12], Operations: []
Exploring Operation: 80-13=67, Resulting Numbers: [51, 12, 67]
Generated Node #0,0: 15:[51, 12, 67] Operation: 80-13=67
Exploring Operation: 80-51=29, Resulting Numbers: [13, 12, 29]
Generated Node #0,1: 15:[13, 12, 29] Operation: 80-51=29
Moving to Node #0,1
Current State: 15:[13, 12, 29], Operations: ['80-51=29']
Exploring Operation: 29-12=17, Resulting Numbers: [13, 17]
Generated Node #0,1,0: 15:[13, 17] Operation: 29-12=17
Exploring Operation: 29-13=16, Resulting Numbers: [12, 16]
Generated Node #0,1,1: 15:[12, 16] Operation: 29-13=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[13, 17], Operations: ['80-51=29', '29-12=17']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[12, 16], Operations: ['80-51=29', '29-13=16']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,15 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: 15:[51, 12, 67], Operations: ['80-13=67']
Exploring Operation: 51-12=39, Resulting Numbers: [67, 39]
Generated Node #0,0,0: 15:[67, 39] Operation: 51-12=39
Exploring Operation: 67-51=16, Resulting Numbers: [12, 16]
Generated Node #0,0,1: 15:[12, 16] Operation: 67-51=16
Moving to Node #0,0,1
Current State: 15:[12, 16], Operations: ['80-13=67', '67-51=16']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[67, 39], Operations: ['80-13=67', '51-12=39']
Exploring Operation: 67-39=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 67+39=106, Resulting Numbers: [106]
106,15 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
93,
30,
70,
46
] | 32 | [
"93-70=23",
"46/23=2",
"30+2=32"
] | Current State: 32:[93, 30, 70, 46], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [30, 46, 23]
Generated Node #2: [30, 46, 23] from Operation: 93-70=23
Current State: 32:[30, 46, 23], Operations: ['93-70=23']
Exploring Operation: 46/23=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 46/23=2
Current State: 32:[30, 2], Operations: ['93-70=23', '46/23=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[93, 30, 70, 46], Operations: []
Exploring Operation: 93-46=47, Resulting Numbers: [30, 70, 47]
Generated Node #0,0: 32:[30, 70, 47] Operation: 93-46=47
Exploring Operation: 70-46=24, Resulting Numbers: [93, 30, 24]
Generated Node #0,1: 32:[93, 30, 24] Operation: 70-46=24
Exploring Operation: 93-30=63, Resulting Numbers: [70, 46, 63]
Generated Node #0,2: 32:[70, 46, 63] Operation: 93-30=63
Exploring Operation: 93-70=23, Resulting Numbers: [30, 46, 23]
Generated Node #0,3: 32:[30, 46, 23] Operation: 93-70=23
Moving to Node #0,3
Current State: 32:[30, 46, 23], Operations: ['93-70=23']
Exploring Operation: 46/23=2, Resulting Numbers: [30, 2]
Generated Node #0,3,0: 32:[30, 2] Operation: 46/23=2
Exploring Operation: 30-23=7, Resulting Numbers: [46, 7]
Generated Node #0,3,1: 32:[46, 7] Operation: 30-23=7
Exploring Operation: 46-23=23, Resulting Numbers: [30, 23]
Generated Node #0,3,2: 32:[30, 23] Operation: 46-23=23
Exploring Operation: 46-30=16, Resulting Numbers: [23, 16]
Generated Node #0,3,3: 32:[23, 16] Operation: 46-30=16
Moving to Node #0,0
Current State: 32:[30, 70, 47], Operations: ['93-46=47']
Exploring Operation: 47-30=17, Resulting Numbers: [70, 17]
Generated Node #0,0,0: 32:[70, 17] Operation: 47-30=17
Exploring Operation: 70-47=23, Resulting Numbers: [30, 23]
Generated Node #0,0,1: 32:[30, 23] Operation: 70-47=23
Exploring Operation: 70-30=40, Resulting Numbers: [47, 40]
Generated Node #0,0,2: 32:[47, 40] Operation: 70-30=40
Exploring Operation: 30+70=100, Resulting Numbers: [47, 100]
Generated Node #0,0,3: 32:[47, 100] Operation: 30+70=100
Moving to Node #0,1
Current State: 32:[93, 30, 24], Operations: ['70-46=24']
Exploring Operation: 93-24=69, Resulting Numbers: [30, 69]
Generated Node #0,1,0: 32:[30, 69] Operation: 93-24=69
Exploring Operation: 30-24=6, Resulting Numbers: [93, 6]
Generated Node #0,1,1: 32:[93, 6] Operation: 30-24=6
Exploring Operation: 93-30=63, Resulting Numbers: [24, 63]
Generated Node #0,1,2: 32:[24, 63] Operation: 93-30=63
Exploring Operation: 30+24=54, Resulting Numbers: [93, 54]
Generated Node #0,1,3: 32:[93, 54] Operation: 30+24=54
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 32:[30, 69], Operations: ['70-46=24', '93-24=69']
Exploring Operation: 69-30=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Exploring Operation: 30+69=99, Resulting Numbers: [99]
99,32 unequal: No Solution
Exploring Operation: 30*69=2070, Resulting Numbers: [2070]
2070,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 32:[24, 63], Operations: ['70-46=24', '93-30=63']
Exploring Operation: 24*63=1512, Resulting Numbers: [1512]
1512,32 unequal: No Solution
Exploring Operation: 24+63=87, Resulting Numbers: [87]
87,32 unequal: No Solution
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[93, 6], Operations: ['70-46=24', '30-24=6']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,32 unequal: No Solution
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,32 unequal: No Solution
Exploring Operation: 93*6=558, Resulting Numbers: [558]
558,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 32:[93, 54], Operations: ['70-46=24', '30+24=54']
Exploring Operation: 93-54=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Exploring Operation: 93+54=147, Resulting Numbers: [147]
147,32 unequal: No Solution
Exploring Operation: 93*54=5022, Resulting Numbers: [5022]
5022,32 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: 32:[70, 46, 63], Operations: ['93-30=63']
Exploring Operation: 70-46=24, Resulting Numbers: [63, 24]
Generated Node #0,2,0: 32:[63, 24] Operation: 70-46=24
Exploring Operation: 63-46=17, Resulting Numbers: [70, 17]
Generated Node #0,2,1: 32:[70, 17] Operation: 63-46=17
Exploring Operation: 70+46=116, Resulting Numbers: [63, 116]
Generated Node #0,2,2: 32:[63, 116] Operation: 70+46=116
Exploring Operation: 70-63=7, Resulting Numbers: [46, 7]
Generated Node #0,2,3: 32:[46, 7] Operation: 70-63=7
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 32:[46, 7], Operations: ['93-30=63', '70-63=7']
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Exploring Operation: 46*7=322, Resulting Numbers: [322]
322,32 unequal: No Solution
Exploring Operation: 46+7=53, Resulting Numbers: [53]
53,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 32:[63, 24], Operations: ['93-30=63', '70-46=24']
Exploring Operation: 63*24=1512, Resulting Numbers: [1512]
1512,32 unequal: No Solution
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Exploring Operation: 63+24=87, Resulting Numbers: [87]
87,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 32:[70, 17], Operations: ['93-30=63', '63-46=17']
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,32 unequal: No Solution
Exploring Operation: 70*17=1190, Resulting Numbers: [1190]
1190,32 unequal: No Solution
Exploring Operation: 70+17=87, Resulting Numbers: [87]
87,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 32:[63, 116], Operations: ['93-30=63', '70+46=116']
Exploring Operation: 63*116=7308, Resulting Numbers: [7308]
7308,32 unequal: No Solution
Exploring Operation: 63+116=179, Resulting Numbers: [179]
179,32 unequal: No Solution
Exploring Operation: 116-63=53, Resulting Numbers: [53]
53,32 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: 32:[30, 2], Operations: ['93-70=23', '46/23=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[93, 30, 70, 46], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [30, 46, 23]
Generated Node #0,3: 32:[30, 46, 23] Operation: 93-70=23
Moving to Node #0,3
Current State: 32:[30, 46, 23], Operations: ['93-70=23']
Exploring Operation: 46/23=2, Resulting Numbers: [30, 2]
Generated Node #0,3,0: 32:[30, 2] Operation: 46/23=2
Moving to Node #0,3,0
Current State: 32:[30, 2], Operations: ['93-70=23', '46/23=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.956597 | hs_4 | sum_heuristic |
[
96,
46,
38,
58
] | 50 | [
"38*58=2204",
"96+2204=2300",
"2300/46=50"
] | Current State: 50:[96, 46, 38, 58], Operations: []
Exploring Operation: 38*58=2204, Resulting Numbers: [96, 46, 2204]
Generated Node #2: [96, 46, 2204] from Operation: 38*58=2204
Current State: 50:[96, 46, 2204], Operations: ['38*58=2204']
Exploring Operation: 96+2204=2300, Resulting Numbers: [46, 2300]
Generated Node #3: [46, 2300] from Operation: 96+2204=2300
Current State: 50:[46, 2300], Operations: ['38*58=2204', '96+2204=2300']
Exploring Operation: 2300/46=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[96, 46, 38, 58], Operations: []
Exploring Operation: 96-58=38, Resulting Numbers: [46, 38, 38]
Generated Node #0,0: 50:[46, 38, 38] Operation: 96-58=38
Exploring Operation: 96-46=50, Resulting Numbers: [38, 58, 50]
Generated Node #0,1: 50:[38, 58, 50] Operation: 96-46=50
Exploring Operation: 96-38=58, Resulting Numbers: [46, 58, 58]
Generated Node #0,2: 50:[46, 58, 58] Operation: 96-38=58
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[38, 58, 50], Operations: ['96-46=50']
Exploring Operation: 58-38=20, Resulting Numbers: [50, 20]
Generated Node #0,1,0: 50:[50, 20] Operation: 58-38=20
Exploring Operation: 50-38=12, Resulting Numbers: [58, 12]
Generated Node #0,1,1: 50:[58, 12] Operation: 50-38=12
Exploring Operation: 58-50=8, Resulting Numbers: [38, 8]
Generated Node #0,1,2: 50:[38, 8] Operation: 58-50=8
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[50, 20], Operations: ['96-46=50', '58-38=20']
Exploring Operation: 50*20=1000, Resulting Numbers: [1000]
1000,50 unequal: No Solution
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,50 unequal: No Solution
No 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: 50:[58, 12], Operations: ['96-46=50', '50-38=12']
Exploring Operation: 58+12=70, Resulting Numbers: [70]
70,50 unequal: No Solution
Exploring Operation: 58-12=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 58*12=696, Resulting Numbers: [696]
696,50 unequal: No Solution
No 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: 50:[38, 8], Operations: ['96-46=50', '58-50=8']
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,50 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,50 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: 50:[46, 58, 58], Operations: ['96-38=58']
Exploring Operation: 58-46=12, Resulting Numbers: [58, 12]
Generated Node #0,2,0: 50:[58, 12] Operation: 58-46=12
Exploring Operation: 58/58=1, Resulting Numbers: [46, 1]
Generated Node #0,2,1: 50:[46, 1] Operation: 58/58=1
Exploring Operation: 58-58=0, Resulting Numbers: [46, 0]
Generated Node #0,2,2: 50:[46, 0] Operation: 58-58=0
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 50:[46, 1], Operations: ['96-38=58', '58/58=1']
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,50 unequal: No Solution
No 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: 50:[46, 0], Operations: ['96-38=58', '58-58=0']
Exploring Operation: 46*0=0, Resulting Numbers: [0]
0,50 unequal: No Solution
Exploring Operation: 46+0=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 46-0=46, Resulting Numbers: [46]
46,50 unequal: No Solution
No 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: 50:[58, 12], Operations: ['96-38=58', '58-46=12']
Exploring Operation: 58+12=70, Resulting Numbers: [70]
70,50 unequal: No Solution
Exploring Operation: 58-12=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 58*12=696, Resulting Numbers: [696]
696,50 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: 50:[46, 38, 38], Operations: ['96-58=38']
Exploring Operation: 46-38=8, Resulting Numbers: [38, 8]
Generated Node #0,0,0: 50:[38, 8] Operation: 46-38=8
Exploring Operation: 38-38=0, Resulting Numbers: [46, 0]
Generated Node #0,0,1: 50:[46, 0] Operation: 38-38=0
Exploring Operation: 38/38=1, Resulting Numbers: [46, 1]
Generated Node #0,0,2: 50:[46, 1] Operation: 38/38=1
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 50:[46, 1], Operations: ['96-58=38', '38/38=1']
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,50 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,50 unequal: No Solution
No 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: 50:[46, 0], Operations: ['96-58=38', '38-38=0']
Exploring Operation: 46*0=0, Resulting Numbers: [0]
0,50 unequal: No Solution
Exploring Operation: 46-0=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 46+0=46, Resulting Numbers: [46]
46,50 unequal: No Solution
No 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: 50:[38, 8], Operations: ['96-58=38', '46-38=8']
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,50 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,50 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 |
[
24,
36,
36,
16
] | 19 | [
"36-24=12",
"36/12=3",
"16+3=19"
] | Current State: 19:[24, 36, 36, 16], Operations: []
Exploring Operation: 36-24=12, Resulting Numbers: [16, 12]
Generated Node #2: [16, 12] from Operation: 36-24=12
Current State: 19:[16, 12], Operations: ['36-24=12']
Exploring Operation: 36/12=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 36/12=3
Current State: 19:[16, 3], Operations: ['36-24=12', '36/12=3']
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[24, 36, 36, 16], Operations: []
Exploring Operation: 36-16=20, Resulting Numbers: [24, 36, 20]
Generated Node #0,0: 19:[24, 36, 20] Operation: 36-16=20
Moving to Node #0,0
Current State: 19:[24, 36, 20], Operations: ['36-16=20']
Exploring Operation: 36-24=12, Resulting Numbers: [20, 12]
Generated Node #0,0,0: 19:[20, 12] Operation: 36-24=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[20, 12], Operations: ['36-16=20', '36-24=12']
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,19 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 |
[
6,
3,
87,
12
] | 97 | [
"6/3=2",
"87+12=99",
"99-2=97"
] | Current State: 97:[6, 3, 87, 12], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [87, 12, 2]
Generated Node #2: [87, 12, 2] from Operation: 6/3=2
Current State: 97:[87, 12, 2], Operations: ['6/3=2']
Exploring Operation: 87+12=99, Resulting Numbers: [2, 99]
Generated Node #3: [2, 99] from Operation: 87+12=99
Current State: 97:[2, 99], Operations: ['6/3=2', '87+12=99']
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[6, 3, 87, 12], Operations: []
Exploring Operation: 6*12=72, Resulting Numbers: [3, 87, 72]
Generated Node #0,0: 97:[3, 87, 72] Operation: 6*12=72
Exploring Operation: 3*12=36, Resulting Numbers: [6, 87, 36]
Generated Node #0,1: 97:[6, 87, 36] Operation: 3*12=36
Moving to Node #0,0
Current State: 97:[3, 87, 72], Operations: ['6*12=72']
Exploring Operation: 3+87=90, Resulting Numbers: [72, 90]
Generated Node #0,0,0: 97:[72, 90] Operation: 3+87=90
Exploring Operation: 3+72=75, Resulting Numbers: [87, 75]
Generated Node #0,0,1: 97:[87, 75] Operation: 3+72=75
Moving to Node #0,1
Current State: 97:[6, 87, 36], Operations: ['3*12=36']
Exploring Operation: 6+87=93, Resulting Numbers: [36, 93]
Generated Node #0,1,0: 97:[36, 93] Operation: 6+87=93
Exploring Operation: 6+36=42, Resulting Numbers: [87, 42]
Generated Node #0,1,1: 97:[87, 42] Operation: 6+36=42
Moving to Node #0,0,0
Current State: 97:[72, 90], Operations: ['6*12=72', '3+87=90']
Exploring Operation: 90-72=18, Resulting Numbers: [18]
18,97 unequal: No Solution
Exploring Operation: 72+90=162, Resulting Numbers: [162]
162,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[87, 75], Operations: ['6*12=72', '3+72=75']
Exploring Operation: 87+75=162, Resulting Numbers: [162]
162,97 unequal: No Solution
Exploring Operation: 87-75=12, Resulting Numbers: [12]
12,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[87, 42], Operations: ['3*12=36', '6+36=42']
Exploring Operation: 87+42=129, Resulting Numbers: [129]
129,97 unequal: No Solution
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[36, 93], Operations: ['3*12=36', '6+87=93']
Exploring Operation: 93-36=57, Resulting Numbers: [57]
57,97 unequal: No Solution
Exploring Operation: 36+93=129, Resulting Numbers: [129]
129,97 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
47,
63,
46,
95
] | 33 | [
"63-47=16",
"95-46=49",
"49-16=33"
] | Current State: 33:[47, 63, 46, 95], Operations: []
Exploring Operation: 63-47=16, Resulting Numbers: [46, 95, 16]
Generated Node #2: [46, 95, 16] from Operation: 63-47=16
Current State: 33:[46, 95, 16], Operations: ['63-47=16']
Exploring Operation: 95-46=49, Resulting Numbers: [16, 49]
Generated Node #3: [16, 49] from Operation: 95-46=49
Current State: 33:[16, 49], Operations: ['63-47=16', '95-46=49']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[47, 63, 46, 95], Operations: []
Exploring Operation: 95-46=49, Resulting Numbers: [47, 63, 49]
Generated Node #0,0: 33:[47, 63, 49] Operation: 95-46=49
Exploring Operation: 95-47=48, Resulting Numbers: [63, 46, 48]
Generated Node #0,1: 33:[63, 46, 48] Operation: 95-47=48
Exploring Operation: 95-63=32, Resulting Numbers: [47, 46, 32]
Generated Node #0,2: 33:[47, 46, 32] Operation: 95-63=32
Moving to Node #0,2
Current State: 33:[47, 46, 32], Operations: ['95-63=32']
Exploring Operation: 47-46=1, Resulting Numbers: [32, 1]
Generated Node #0,2,0: 33:[32, 1] Operation: 47-46=1
Exploring Operation: 46-32=14, Resulting Numbers: [47, 14]
Generated Node #0,2,1: 33:[47, 14] Operation: 46-32=14
Exploring Operation: 47-32=15, Resulting Numbers: [46, 15]
Generated Node #0,2,2: 33:[46, 15] Operation: 47-32=15
Moving to Node #0,1
Current State: 33:[63, 46, 48], Operations: ['95-47=48']
Exploring Operation: 48-46=2, Resulting Numbers: [63, 2]
Generated Node #0,1,0: 33:[63, 2] Operation: 48-46=2
Exploring Operation: 63-46=17, Resulting Numbers: [48, 17]
Generated Node #0,1,1: 33:[48, 17] Operation: 63-46=17
Exploring Operation: 63-48=15, Resulting Numbers: [46, 15]
Generated Node #0,1,2: 33:[46, 15] Operation: 63-48=15
Moving to Node #0,0
Current State: 33:[47, 63, 49], Operations: ['95-46=49']
Exploring Operation: 63-49=14, Resulting Numbers: [47, 14]
Generated Node #0,0,0: 33:[47, 14] Operation: 63-49=14
Exploring Operation: 49-47=2, Resulting Numbers: [63, 2]
Generated Node #0,0,1: 33:[63, 2] Operation: 49-47=2
Exploring Operation: 63-47=16, Resulting Numbers: [49, 16]
Generated Node #0,0,2: 33:[49, 16] Operation: 63-47=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[47, 14], Operations: ['95-46=49', '63-49=14']
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[47, 63, 46, 95], Operations: []
Exploring Operation: 95-46=49, Resulting Numbers: [47, 63, 49]
Generated Node #0,0: 33:[47, 63, 49] Operation: 95-46=49
Moving to Node #0,0
Current State: 33:[47, 63, 49], Operations: ['95-46=49']
Exploring Operation: 63-49=14, Resulting Numbers: [47, 14]
Generated Node #0,0,0: 33:[47, 14] Operation: 63-49=14
Moving to Node #0,0,0
Current State: 33:[47, 14], Operations: ['95-46=49', '63-49=14']
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
54,
46,
8,
73
] | 35 | [
"54+46=100",
"73-8=65",
"100-65=35"
] | Current State: 35:[54, 46, 8, 73], Operations: []
Exploring Operation: 54+46=100, Resulting Numbers: [8, 73, 100]
Generated Node #2: [8, 73, 100] from Operation: 54+46=100
Current State: 35:[8, 73, 100], Operations: ['54+46=100']
Exploring Operation: 73-8=65, Resulting Numbers: [100, 65]
Generated Node #3: [100, 65] from Operation: 73-8=65
Current State: 35:[100, 65], Operations: ['54+46=100', '73-8=65']
Exploring Operation: 100-65=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[54, 46, 8, 73], Operations: []
Exploring Operation: 73-46=27, Resulting Numbers: [54, 8, 27]
Generated Node #0,0: 35:[54, 8, 27] Operation: 73-46=27
Exploring Operation: 54-46=8, Resulting Numbers: [8, 73, 8]
Generated Node #0,1: 35:[8, 73, 8] Operation: 54-46=8
Exploring Operation: 73-54=19, Resulting Numbers: [46, 8, 19]
Generated Node #0,2: 35:[46, 8, 19] Operation: 73-54=19
Moving to Node #0,2
Current State: 35:[46, 8, 19], Operations: ['73-54=19']
Exploring Operation: 46-19=27, Resulting Numbers: [8, 27]
Generated Node #0,2,0: 35:[8, 27] Operation: 46-19=27
Exploring Operation: 19-8=11, Resulting Numbers: [46, 11]
Generated Node #0,2,1: 35:[46, 11] Operation: 19-8=11
Exploring Operation: 46-8=38, Resulting Numbers: [19, 38]
Generated Node #0,2,2: 35:[19, 38] Operation: 46-8=38
Moving to Node #0,0
Current State: 35:[54, 8, 27], Operations: ['73-46=27']
Exploring Operation: 54-8=46, Resulting Numbers: [27, 46]
Generated Node #0,0,0: 35:[27, 46] Operation: 54-8=46
Exploring Operation: 54-27=27, Resulting Numbers: [8, 27]
Generated Node #0,0,1: 35:[8, 27] Operation: 54-27=27
Exploring Operation: 54/27=2, Resulting Numbers: [8, 2]
Generated Node #0,0,2: 35:[8, 2] Operation: 54/27=2
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 35:[8, 2], Operations: ['73-46=27', '54/27=2']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,35 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 #0,0,1
Current State: 35:[8, 27], Operations: ['73-46=27', '54-27=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[54, 46, 8, 73], Operations: []
Exploring Operation: 73-46=27, Resulting Numbers: [54, 8, 27]
Generated Node #0,0: 35:[54, 8, 27] Operation: 73-46=27
Moving to Node #0,0
Current State: 35:[54, 8, 27], Operations: ['73-46=27']
Exploring Operation: 54-27=27, Resulting Numbers: [8, 27]
Generated Node #0,0,1: 35:[8, 27] Operation: 54-27=27
Moving to Node #0,0,1
Current State: 35:[8, 27], Operations: ['73-46=27', '54-27=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
71,
78,
20,
29
] | 16 | [
"78-71=7",
"29-20=9",
"7+9=16"
] | Current State: 16:[71, 78, 20, 29], Operations: []
Exploring Operation: 78-71=7, Resulting Numbers: [20, 29, 7]
Generated Node #2: [20, 29, 7] from Operation: 78-71=7
Current State: 16:[20, 29, 7], Operations: ['78-71=7']
Exploring Operation: 29-20=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 29-20=9
Current State: 16:[7, 9], Operations: ['78-71=7', '29-20=9']
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[71, 78, 20, 29], Operations: []
Exploring Operation: 71-29=42, Resulting Numbers: [78, 20, 42]
Generated Node #0,0: 16:[78, 20, 42] Operation: 71-29=42
Exploring Operation: 78-71=7, Resulting Numbers: [20, 29, 7]
Generated Node #0,1: 16:[20, 29, 7] Operation: 78-71=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[20, 29, 7], Operations: ['78-71=7']
Exploring Operation: 29-20=9, Resulting Numbers: [7, 9]
Generated Node #0,1,0: 16:[7, 9] Operation: 29-20=9
Exploring Operation: 29-7=22, Resulting Numbers: [20, 22]
Generated Node #0,1,1: 16:[20, 22] Operation: 29-7=22
Moving to Node #0,1,0
Current State: 16:[7, 9], Operations: ['78-71=7', '29-20=9']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[71, 78, 20, 29], Operations: []
Exploring Operation: 78-71=7, Resulting Numbers: [20, 29, 7]
Generated Node #0,1: 16:[20, 29, 7] Operation: 78-71=7
Moving to Node #0,1
Current State: 16:[20, 29, 7], Operations: ['78-71=7']
Exploring Operation: 29-20=9, Resulting Numbers: [7, 9]
Generated Node #0,1,0: 16:[7, 9] Operation: 29-20=9
Moving to Node #0,1,0
Current State: 16:[7, 9], Operations: ['78-71=7', '29-20=9']
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
34,
73,
87,
46
] | 80 | [
"73-34=39",
"87-46=41",
"39+41=80"
] | Current State: 80:[34, 73, 87, 46], Operations: []
Exploring Operation: 73-34=39, Resulting Numbers: [87, 46, 39]
Generated Node #2: [87, 46, 39] from Operation: 73-34=39
Current State: 80:[87, 46, 39], Operations: ['73-34=39']
Exploring Operation: 87-46=41, Resulting Numbers: [39, 41]
Generated Node #3: [39, 41] from Operation: 87-46=41
Current State: 80:[39, 41], Operations: ['73-34=39', '87-46=41']
Exploring Operation: 39+41=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[34, 73, 87, 46], Operations: []
Exploring Operation: 34+46=80, Resulting Numbers: [73, 87, 80]
Generated Node #0,0: 80:[73, 87, 80] Operation: 34+46=80
Exploring Operation: 73-34=39, Resulting Numbers: [87, 46, 39]
Generated Node #0,1: 80:[87, 46, 39] Operation: 73-34=39
Exploring Operation: 87-46=41, Resulting Numbers: [34, 73, 41]
Generated Node #0,2: 80:[34, 73, 41] Operation: 87-46=41
Exploring Operation: 46-34=12, Resulting Numbers: [73, 87, 12]
Generated Node #0,3: 80:[73, 87, 12] Operation: 46-34=12
Exploring Operation: 87-73=14, Resulting Numbers: [34, 46, 14]
Generated Node #0,4: 80:[34, 46, 14] Operation: 87-73=14
Moving to Node #0,0
Current State: 80:[73, 87, 80], Operations: ['34+46=80']
Exploring Operation: 73+87=160, Resulting Numbers: [80, 160]
Generated Node #0,0,0: 80:[80, 160] Operation: 73+87=160
Exploring Operation: 87-73=14, Resulting Numbers: [80, 14]
Generated Node #0,0,1: 80:[80, 14] Operation: 87-73=14
Exploring Operation: 73+80=153, Resulting Numbers: [87, 153]
Generated Node #0,0,2: 80:[87, 153] Operation: 73+80=153
Exploring Operation: 87-80=7, Resulting Numbers: [73, 7]
Generated Node #0,0,3: 80:[73, 7] Operation: 87-80=7
Exploring Operation: 80-73=7, Resulting Numbers: [87, 7]
Generated Node #0,0,4: 80:[87, 7] Operation: 80-73=7
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[80, 14], Operations: ['34+46=80', '87-73=14']
Exploring Operation: 80+14=94, Resulting Numbers: [94]
94,80 unequal: No Solution
Exploring Operation: 80*14=1120, Resulting Numbers: [1120]
1120,80 unequal: No Solution
Exploring Operation: 80-14=66, Resulting Numbers: [66]
66,80 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 #0,0,3
Current State: 80:[73, 7], Operations: ['34+46=80', '87-80=7']
Exploring Operation: 73*7=511, Resulting Numbers: [511]
511,80 unequal: No Solution
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[34, 73, 87, 46], Operations: []
Exploring Operation: 34+46=80, Resulting Numbers: [73, 87, 80]
Generated Node #0,0: 80:[73, 87, 80] Operation: 34+46=80
Moving to Node #0,0
Current State: 80:[73, 87, 80], Operations: ['34+46=80']
Exploring Operation: 87-80=7, Resulting Numbers: [73, 7]
Generated Node #0,0,3: 80:[73, 7] Operation: 87-80=7
Moving to Node #0,0,3
Current State: 80:[73, 7], Operations: ['34+46=80', '87-80=7']
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
4,
19,
29,
45
] | 52 | [
"4*29=116",
"19+45=64",
"116-64=52"
] | Current State: 52:[4, 19, 29, 45], Operations: []
Exploring Operation: 4*29=116, Resulting Numbers: [19, 45, 116]
Generated Node #2: [19, 45, 116] from Operation: 4*29=116
Current State: 52:[19, 45, 116], Operations: ['4*29=116']
Exploring Operation: 19+45=64, Resulting Numbers: [116, 64]
Generated Node #3: [116, 64] from Operation: 19+45=64
Current State: 52:[116, 64], Operations: ['4*29=116', '19+45=64']
Exploring Operation: 116-64=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[4, 19, 29, 45], Operations: []
Exploring Operation: 45-19=26, Resulting Numbers: [4, 29, 26]
Generated Node #0,0: 52:[4, 29, 26] Operation: 45-19=26
Exploring Operation: 29-19=10, Resulting Numbers: [4, 45, 10]
Generated Node #0,1: 52:[4, 45, 10] Operation: 29-19=10
Exploring Operation: 19+29=48, Resulting Numbers: [4, 45, 48]
Generated Node #0,2: 52:[4, 45, 48] Operation: 19+29=48
Exploring Operation: 45-29=16, Resulting Numbers: [4, 19, 16]
Generated Node #0,3: 52:[4, 19, 16] Operation: 45-29=16
Exploring Operation: 19-4=15, Resulting Numbers: [29, 45, 15]
Generated Node #0,4: 52:[29, 45, 15] Operation: 19-4=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[4, 29, 26], Operations: ['45-19=26']
Exploring Operation: 29-4=25, Resulting Numbers: [26, 25]
Generated Node #0,0,0: 52:[26, 25] Operation: 29-4=25
Exploring Operation: 29+26=55, Resulting Numbers: [4, 55]
Generated Node #0,0,1: 52:[4, 55] Operation: 29+26=55
Exploring Operation: 4+29=33, Resulting Numbers: [26, 33]
Generated Node #0,0,2: 52:[26, 33] Operation: 4+29=33
Exploring Operation: 29-26=3, Resulting Numbers: [4, 3]
Generated Node #0,0,3: 52:[4, 3] Operation: 29-26=3
Exploring Operation: 4+26=30, Resulting Numbers: [29, 30]
Generated Node #0,0,4: 52:[29, 30] Operation: 4+26=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[26, 25], Operations: ['45-19=26', '29-4=25']
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 52:[4, 3], Operations: ['45-19=26', '29-26=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[4, 55], Operations: ['45-19=26', '29+26=55']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 4*55=220, Resulting Numbers: [220]
220,52 unequal: No Solution
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 52:[26, 33], Operations: ['45-19=26', '4+29=33']
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 26*33=858, Resulting Numbers: [858]
858,52 unequal: No Solution
Exploring Operation: 26+33=59, Resulting Numbers: [59]
59,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 52:[29, 30], Operations: ['45-19=26', '4+26=30']
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 29*30=870, Resulting Numbers: [870]
870,52 unequal: No Solution
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 52:[4, 19, 16], Operations: ['45-29=16']
Exploring Operation: 16-4=12, Resulting Numbers: [19, 12]
Generated Node #0,3,0: 52:[19, 12] Operation: 16-4=12
Exploring Operation: 19-16=3, Resulting Numbers: [4, 3]
Generated Node #0,3,1: 52:[4, 3] Operation: 19-16=3
Exploring Operation: 4+19=23, Resulting Numbers: [16, 23]
Generated Node #0,3,2: 52:[16, 23] Operation: 4+19=23
Exploring Operation: 19-4=15, Resulting Numbers: [16, 15]
Generated Node #0,3,3: 52:[16, 15] Operation: 19-4=15
Exploring Operation: 16/4=4, Resulting Numbers: [19, 4]
Generated Node #0,3,4: 52:[19, 4] Operation: 16/4=4
Moving to Node #0,3,1
Current State: 52:[4, 3], Operations: ['45-29=16', '19-16=3']
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Moving to Node #0,3,3
Current State: 52:[16, 15], Operations: ['45-29=16', '19-4=15']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,52 unequal: No Solution
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Moving to Node #0,3,2
Current State: 52:[16, 23], Operations: ['45-29=16', '4+19=23']
Exploring Operation: 16*23=368, Resulting Numbers: [368]
368,52 unequal: No Solution
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,52 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Moving to Node #0,3,4
Current State: 52:[19, 4], Operations: ['45-29=16', '16/4=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Moving to Node #0,3,0
Current State: 52:[19, 12], Operations: ['45-29=16', '16-4=12']
Exploring Operation: 19*12=228, Resulting Numbers: [228]
228,52 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[4, 45, 10], Operations: ['29-19=10']
Exploring Operation: 4+45=49, Resulting Numbers: [10, 49]
Generated Node #0,1,0: 52:[10, 49] Operation: 4+45=49
Exploring Operation: 45-10=35, Resulting Numbers: [4, 35]
Generated Node #0,1,1: 52:[4, 35] Operation: 45-10=35
Exploring Operation: 4+10=14, Resulting Numbers: [45, 14]
Generated Node #0,1,2: 52:[45, 14] Operation: 4+10=14
Exploring Operation: 10-4=6, Resulting Numbers: [45, 6]
Generated Node #0,1,3: 52:[45, 6] Operation: 10-4=6
Exploring Operation: 45+10=55, Resulting Numbers: [4, 55]
Generated Node #0,1,4: 52:[4, 55] Operation: 45+10=55
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 52:[4, 55], Operations: ['29-19=10', '45+10=55']
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 4*55=220, Resulting Numbers: [220]
220,52 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[10, 49], Operations: ['29-19=10', '4+45=49']
Exploring Operation: 10+49=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 10*49=490, Resulting Numbers: [490]
490,52 unequal: No Solution
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 52:[45, 14], Operations: ['29-19=10', '4+10=14']
Exploring Operation: 45*14=630, Resulting Numbers: [630]
630,52 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 45+14=59, Resulting Numbers: [59]
59,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 52:[4, 35], Operations: ['29-19=10', '45-10=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,52 unequal: No Solution
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 52:[45, 6], Operations: ['29-19=10', '10-4=6']
Exploring Operation: 45*6=270, Resulting Numbers: [270]
270,52 unequal: No Solution
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[4, 45, 48], Operations: ['19+29=48']
Exploring Operation: 45-4=41, Resulting Numbers: [48, 41]
Generated Node #0,2,0: 52:[48, 41] Operation: 45-4=41
Exploring Operation: 4+45=49, Resulting Numbers: [48, 49]
Generated Node #0,2,1: 52:[48, 49] Operation: 4+45=49
Exploring Operation: 48-45=3, Resulting Numbers: [4, 3]
Generated Node #0,2,2: 52:[4, 3] Operation: 48-45=3
Exploring Operation: 48/4=12, Resulting Numbers: [45, 12]
Generated Node #0,2,3: 52:[45, 12] Operation: 48/4=12
Exploring Operation: 4+48=52, Resulting Numbers: [45, 52]
Generated Node #0,2,4: 52:[45, 52] Operation: 4+48=52
Moving to Node #0,2,2
Current State: 52:[4, 3], Operations: ['19+29=48', '48-45=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Moving to Node #0,2,4
Current State: 52:[45, 52], Operations: ['19+29=48', '4+48=52']
Exploring Operation: 52-45=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 45+52=97, Resulting Numbers: [97]
97,52 unequal: No Solution
Exploring Operation: 45*52=2340, Resulting Numbers: [2340]
2340,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[48, 49], Operations: ['19+29=48', '4+45=49']
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 48*49=2352, Resulting Numbers: [2352]
2352,52 unequal: No Solution
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[45, 12], Operations: ['19+29=48', '48/4=12']
Exploring Operation: 45+12=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Exploring Operation: 45*12=540, Resulting Numbers: [540]
540,52 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[48, 41], Operations: ['19+29=48', '45-4=41']
Exploring Operation: 48+41=89, Resulting Numbers: [89]
89,52 unequal: No Solution
Exploring Operation: 48*41=1968, Resulting Numbers: [1968]
1968,52 unequal: No Solution
Exploring Operation: 48-41=7, Resulting Numbers: [7]
7,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 52:[29, 45, 15], Operations: ['19-4=15']
Exploring Operation: 29-15=14, Resulting Numbers: [45, 14]
Generated Node #0,4,0: 52:[45, 14] Operation: 29-15=14
Exploring Operation: 45-29=16, Resulting Numbers: [15, 16]
Generated Node #0,4,1: 52:[15, 16] Operation: 45-29=16
Exploring Operation: 45-15=30, Resulting Numbers: [29, 30]
Generated Node #0,4,2: 52:[29, 30] Operation: 45-15=30
Exploring Operation: 45/15=3, Resulting Numbers: [29, 3]
Generated Node #0,4,3: 52:[29, 3] Operation: 45/15=3
Exploring Operation: 45+15=60, Resulting Numbers: [29, 60]
Generated Node #0,4,4: 52:[29, 60] Operation: 45+15=60
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 52:[29, 3], Operations: ['19-4=15', '45/15=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,52 unequal: No Solution
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,52 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 52:[15, 16], Operations: ['19-4=15', '45-29=16']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 52:[29, 30], Operations: ['19-4=15', '45-15=30']
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 29*30=870, Resulting Numbers: [870]
870,52 unequal: No Solution
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 52:[45, 14], Operations: ['19-4=15', '29-15=14']
Exploring Operation: 45*14=630, Resulting Numbers: [630]
630,52 unequal: No Solution
Exploring Operation: 45+14=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 52:[29, 60], Operations: ['19-4=15', '45+15=60']
Exploring Operation: 29+60=89, Resulting Numbers: [89]
89,52 unequal: No Solution
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 29*60=1740, Resulting Numbers: [1740]
1740,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
55,
13,
16,
8
] | 34 | [
"55+13=68",
"16/8=2",
"68/2=34"
] | Current State: 34:[55, 13, 16, 8], Operations: []
Exploring Operation: 55+13=68, Resulting Numbers: [16, 8, 68]
Generated Node #2: [16, 8, 68] from Operation: 55+13=68
Current State: 34:[16, 8, 68], Operations: ['55+13=68']
Exploring Operation: 16/8=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 16/8=2
Current State: 34:[68, 2], Operations: ['55+13=68', '16/8=2']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[55, 13, 16, 8], Operations: []
Exploring Operation: 55-13=42, Resulting Numbers: [16, 8, 42]
Generated Node #0,0: 34:[16, 8, 42] Operation: 55-13=42
Exploring Operation: 55-16=39, Resulting Numbers: [13, 8, 39]
Generated Node #0,1: 34:[13, 8, 39] Operation: 55-16=39
Exploring Operation: 55-8=47, Resulting Numbers: [13, 16, 47]
Generated Node #0,2: 34:[13, 16, 47] Operation: 55-8=47
Moving to Node #0,0
Current State: 34:[16, 8, 42], Operations: ['55-13=42']
Exploring Operation: 16-8=8, Resulting Numbers: [42, 8]
Generated Node #0,0,0: 34:[42, 8] Operation: 16-8=8
Exploring Operation: 42-8=34, Resulting Numbers: [16, 34]
Generated Node #0,0,1: 34:[16, 34] Operation: 42-8=34
Exploring Operation: 16/8=2, Resulting Numbers: [42, 2]
Generated Node #0,0,2: 34:[42, 2] Operation: 16/8=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 34:[16, 34], Operations: ['55-13=42', '42-8=34']
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,34 unequal: No Solution
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,34 unequal: No Solution
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 34:[42, 2], Operations: ['55-13=42', '16/8=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[42, 8], Operations: ['55-13=42', '16-8=8']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[55, 13, 16, 8], Operations: []
Exploring Operation: 55-13=42, Resulting Numbers: [16, 8, 42]
Generated Node #0,0: 34:[16, 8, 42] Operation: 55-13=42
Moving to Node #0,0
Current State: 34:[16, 8, 42], Operations: ['55-13=42']
Exploring Operation: 16-8=8, Resulting Numbers: [42, 8]
Generated Node #0,0,0: 34:[42, 8] Operation: 16-8=8
Moving to Node #0,0,0
Current State: 34:[42, 8], Operations: ['55-13=42', '16-8=8']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
78,
98,
59,
80
] | 40 | [
"98-59=39",
"78/39=2",
"80/2=40"
] | Current State: 40:[78, 98, 59, 80], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [78, 80, 39]
Generated Node #2: [78, 80, 39] from Operation: 98-59=39
Current State: 40:[78, 80, 39], Operations: ['98-59=39']
Exploring Operation: 78/39=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 78/39=2
Current State: 40:[80, 2], Operations: ['98-59=39', '78/39=2']
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[78, 98, 59, 80], Operations: []
Exploring Operation: 98-78=20, Resulting Numbers: [59, 80, 20]
Generated Node #0,0: 40:[59, 80, 20] Operation: 98-78=20
Exploring Operation: 98-80=18, Resulting Numbers: [78, 59, 18]
Generated Node #0,1: 40:[78, 59, 18] Operation: 98-80=18
Exploring Operation: 98-59=39, Resulting Numbers: [78, 80, 39]
Generated Node #0,2: 40:[78, 80, 39] Operation: 98-59=39
Exploring Operation: 80-78=2, Resulting Numbers: [98, 59, 2]
Generated Node #0,3: 40:[98, 59, 2] Operation: 80-78=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[59, 80, 20], Operations: ['98-78=20']
Exploring Operation: 80-59=21, Resulting Numbers: [20, 21]
Generated Node #0,0,0: 40:[20, 21] Operation: 80-59=21
Exploring Operation: 80/20=4, Resulting Numbers: [59, 4]
Generated Node #0,0,1: 40:[59, 4] Operation: 80/20=4
Exploring Operation: 80-20=60, Resulting Numbers: [59, 60]
Generated Node #0,0,2: 40:[59, 60] Operation: 80-20=60
Exploring Operation: 59-20=39, Resulting Numbers: [80, 39]
Generated Node #0,0,3: 40:[80, 39] Operation: 59-20=39
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[20, 21], Operations: ['98-78=20', '80-59=21']
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,40 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 40:[59, 4], Operations: ['98-78=20', '80/20=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,40 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 40:[59, 60], Operations: ['98-78=20', '80-20=60']
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 59+60=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 59*60=3540, Resulting Numbers: [3540]
3540,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 40:[80, 39], Operations: ['98-78=20', '59-20=39']
Exploring Operation: 80*39=3120, Resulting Numbers: [3120]
3120,40 unequal: No Solution
Exploring Operation: 80+39=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 80-39=41, Resulting Numbers: [41]
41,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[78, 59, 18], Operations: ['98-80=18']
Exploring Operation: 78-18=60, Resulting Numbers: [59, 60]
Generated Node #0,1,0: 40:[59, 60] Operation: 78-18=60
Exploring Operation: 59-18=41, Resulting Numbers: [78, 41]
Generated Node #0,1,1: 40:[78, 41] Operation: 59-18=41
Exploring Operation: 78+18=96, Resulting Numbers: [59, 96]
Generated Node #0,1,2: 40:[59, 96] Operation: 78+18=96
Exploring Operation: 78-59=19, Resulting Numbers: [18, 19]
Generated Node #0,1,3: 40:[18, 19] Operation: 78-59=19
Moving to Node #0,1,3
Current State: 40:[18, 19], Operations: ['98-80=18', '78-59=19']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,40 unequal: No Solution
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[78, 41], Operations: ['98-80=18', '59-18=41']
Exploring Operation: 78*41=3198, Resulting Numbers: [3198]
3198,40 unequal: No Solution
Exploring Operation: 78+41=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 78-41=37, Resulting Numbers: [37]
37,40 unequal: No Solution
Moving to Node #0,1,0
Current State: 40:[59, 60], Operations: ['98-80=18', '78-18=60']
Exploring Operation: 59+60=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 59*60=3540, Resulting Numbers: [3540]
3540,40 unequal: No Solution
Moving to Node #0,1,2
Current State: 40:[59, 96], Operations: ['98-80=18', '78+18=96']
Exploring Operation: 59*96=5664, Resulting Numbers: [5664]
5664,40 unequal: No Solution
Exploring Operation: 59+96=155, Resulting Numbers: [155]
155,40 unequal: No Solution
Exploring Operation: 96-59=37, Resulting Numbers: [37]
37,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[98, 59, 2], Operations: ['80-78=2']
Exploring Operation: 98/2=49, Resulting Numbers: [59, 49]
Generated Node #0,3,0: 40:[59, 49] Operation: 98/2=49
Exploring Operation: 98-59=39, Resulting Numbers: [2, 39]
Generated Node #0,3,1: 40:[2, 39] Operation: 98-59=39
Exploring Operation: 98-2=96, Resulting Numbers: [59, 96]
Generated Node #0,3,2: 40:[59, 96] Operation: 98-2=96
Exploring Operation: 59-2=57, Resulting Numbers: [98, 57]
Generated Node #0,3,3: 40:[98, 57] Operation: 59-2=57
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 40:[2, 39], Operations: ['80-78=2', '98-59=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,40 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,40 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 40:[59, 49], Operations: ['80-78=2', '98/2=49']
Exploring Operation: 59+49=108, Resulting Numbers: [108]
108,40 unequal: No Solution
Exploring Operation: 59*49=2891, Resulting Numbers: [2891]
2891,40 unequal: No Solution
Exploring Operation: 59-49=10, Resulting Numbers: [10]
10,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 40:[59, 96], Operations: ['80-78=2', '98-2=96']
Exploring Operation: 59*96=5664, Resulting Numbers: [5664]
5664,40 unequal: No Solution
Exploring Operation: 96-59=37, Resulting Numbers: [37]
37,40 unequal: No Solution
Exploring Operation: 59+96=155, Resulting Numbers: [155]
155,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 40:[98, 57], Operations: ['80-78=2', '59-2=57']
Exploring Operation: 98*57=5586, Resulting Numbers: [5586]
5586,40 unequal: No Solution
Exploring Operation: 98+57=155, Resulting Numbers: [155]
155,40 unequal: No Solution
Exploring Operation: 98-57=41, Resulting Numbers: [41]
41,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[78, 80, 39], Operations: ['98-59=39']
Exploring Operation: 80-78=2, Resulting Numbers: [39, 2]
Generated Node #0,2,0: 40:[39, 2] Operation: 80-78=2
Exploring Operation: 78-39=39, Resulting Numbers: [80, 39]
Generated Node #0,2,1: 40:[80, 39] Operation: 78-39=39
Exploring Operation: 80-39=41, Resulting Numbers: [78, 41]
Generated Node #0,2,2: 40:[78, 41] Operation: 80-39=41
Exploring Operation: 78/39=2, Resulting Numbers: [80, 2]
Generated Node #0,2,3: 40:[80, 2] Operation: 78/39=2
Moving to Node #0,2,0
Current State: 40:[39, 2], Operations: ['98-59=39', '80-78=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,40 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,40 unequal: No Solution
Moving to Node #0,2,2
Current State: 40:[78, 41], Operations: ['98-59=39', '80-39=41']
Exploring Operation: 78-41=37, Resulting Numbers: [37]
37,40 unequal: No Solution
Exploring Operation: 78*41=3198, Resulting Numbers: [3198]
3198,40 unequal: No Solution
Exploring Operation: 78+41=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Moving to Node #0,2,3
Current State: 40:[80, 2], Operations: ['98-59=39', '78/39=2']
Exploring Operation: 80*2=160, Resulting Numbers: [160]
160,40 unequal: No Solution
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,40 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,40 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[78, 98, 59, 80], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [78, 80, 39]
Generated Node #0,2: 40:[78, 80, 39] Operation: 98-59=39
Moving to Node #0,2
Current State: 40:[78, 80, 39], Operations: ['98-59=39']
Exploring Operation: 78/39=2, Resulting Numbers: [80, 2]
Generated Node #0,2,3: 40:[80, 2] Operation: 78/39=2
Moving to Node #0,2,3
Current State: 40:[80, 2], Operations: ['98-59=39', '78/39=2']
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.939236 | hs_4 | sum_heuristic |
[
68,
19,
75,
84
] | 31 | [
"75-68=7",
"84/7=12",
"19+12=31"
] | Current State: 31:[68, 19, 75, 84], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [19, 84, 7]
Generated Node #2: [19, 84, 7] from Operation: 75-68=7
Current State: 31:[19, 84, 7], Operations: ['75-68=7']
Exploring Operation: 84/7=12, Resulting Numbers: [19, 12]
Generated Node #3: [19, 12] from Operation: 84/7=12
Current State: 31:[19, 12], Operations: ['75-68=7', '84/7=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[68, 19, 75, 84], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [19, 84, 7]
Generated Node #0,0: 31:[19, 84, 7] Operation: 75-68=7
Exploring Operation: 84-68=16, Resulting Numbers: [19, 75, 16]
Generated Node #0,1: 31:[19, 75, 16] Operation: 84-68=16
Exploring Operation: 84-75=9, Resulting Numbers: [68, 19, 9]
Generated Node #0,2: 31:[68, 19, 9] Operation: 84-75=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[19, 75, 16], Operations: ['84-68=16']
Exploring Operation: 19+16=35, Resulting Numbers: [75, 35]
Generated Node #0,1,0: 31:[75, 35] Operation: 19+16=35
Exploring Operation: 75-19=56, Resulting Numbers: [16, 56]
Generated Node #0,1,1: 31:[16, 56] Operation: 75-19=56
Exploring Operation: 75-16=59, Resulting Numbers: [19, 59]
Generated Node #0,1,2: 31:[19, 59] Operation: 75-16=59
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 31:[16, 56], Operations: ['84-68=16', '75-19=56']
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,31 unequal: No Solution
Exploring Operation: 16*56=896, Resulting Numbers: [896]
896,31 unequal: No Solution
Exploring Operation: 16+56=72, Resulting Numbers: [72]
72,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 31:[19, 59], Operations: ['84-68=16', '75-16=59']
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,31 unequal: No Solution
Exploring Operation: 19+59=78, Resulting Numbers: [78]
78,31 unequal: No Solution
Exploring Operation: 19*59=1121, Resulting Numbers: [1121]
1121,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[75, 35], Operations: ['84-68=16', '19+16=35']
Exploring Operation: 75+35=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 75-35=40, Resulting Numbers: [40]
40,31 unequal: No Solution
Exploring Operation: 75*35=2625, Resulting Numbers: [2625]
2625,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[68, 19, 9], Operations: ['84-75=9']
Exploring Operation: 68-19=49, Resulting Numbers: [9, 49]
Generated Node #0,2,0: 31:[9, 49] Operation: 68-19=49
Exploring Operation: 19+9=28, Resulting Numbers: [68, 28]
Generated Node #0,2,1: 31:[68, 28] Operation: 19+9=28
Exploring Operation: 68-9=59, Resulting Numbers: [19, 59]
Generated Node #0,2,2: 31:[19, 59] Operation: 68-9=59
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 31:[9, 49], Operations: ['84-75=9', '68-19=49']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,31 unequal: No Solution
Exploring Operation: 9*49=441, Resulting Numbers: [441]
441,31 unequal: No Solution
Exploring Operation: 9+49=58, Resulting Numbers: [58]
58,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 31:[68, 28], Operations: ['84-75=9', '19+9=28']
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,31 unequal: No Solution
Exploring Operation: 68*28=1904, Resulting Numbers: [1904]
1904,31 unequal: No Solution
Exploring Operation: 68+28=96, Resulting Numbers: [96]
96,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 31:[19, 59], Operations: ['84-75=9', '68-9=59']
Exploring Operation: 19*59=1121, Resulting Numbers: [1121]
1121,31 unequal: No Solution
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,31 unequal: No Solution
Exploring Operation: 19+59=78, Resulting Numbers: [78]
78,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[19, 84, 7], Operations: ['75-68=7']
Exploring Operation: 84-19=65, Resulting Numbers: [7, 65]
Generated Node #0,0,0: 31:[7, 65] Operation: 84-19=65
Exploring Operation: 19+7=26, Resulting Numbers: [84, 26]
Generated Node #0,0,1: 31:[84, 26] Operation: 19+7=26
Exploring Operation: 84/7=12, Resulting Numbers: [19, 12]
Generated Node #0,0,2: 31:[19, 12] Operation: 84/7=12
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 31:[19, 12], Operations: ['75-68=7', '84/7=12']
Exploring Operation: 19*12=228, Resulting Numbers: [228]
228,31 unequal: No Solution
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[68, 19, 75, 84], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [19, 84, 7]
Generated Node #0,0: 31:[19, 84, 7] Operation: 75-68=7
Moving to Node #0,0
Current State: 31:[19, 84, 7], Operations: ['75-68=7']
Exploring Operation: 84/7=12, Resulting Numbers: [19, 12]
Generated Node #0,0,2: 31:[19, 12] Operation: 84/7=12
Moving to Node #0,0,2
Current State: 31:[19, 12], Operations: ['75-68=7', '84/7=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_3 | sum_heuristic |
[
34,
26,
14,
38
] | 44 | [
"34-26=8",
"14+38=52",
"52-8=44"
] | Current State: 44:[34, 26, 14, 38], Operations: []
Exploring Operation: 34-26=8, Resulting Numbers: [14, 38, 8]
Generated Node #2: [14, 38, 8] from Operation: 34-26=8
Current State: 44:[14, 38, 8], Operations: ['34-26=8']
Exploring Operation: 14+38=52, Resulting Numbers: [8, 52]
Generated Node #3: [8, 52] from Operation: 14+38=52
Current State: 44:[8, 52], Operations: ['34-26=8', '14+38=52']
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[34, 26, 14, 38], Operations: []
Exploring Operation: 34+14=48, Resulting Numbers: [26, 38, 48]
Generated Node #0,0: 44:[26, 38, 48] Operation: 34+14=48
Exploring Operation: 38-26=12, Resulting Numbers: [34, 14, 12]
Generated Node #0,1: 44:[34, 14, 12] Operation: 38-26=12
Exploring Operation: 38-34=4, Resulting Numbers: [26, 14, 4]
Generated Node #0,2: 44:[26, 14, 4] Operation: 38-34=4
Exploring Operation: 34-14=20, Resulting Numbers: [26, 38, 20]
Generated Node #0,3: 44:[26, 38, 20] Operation: 34-14=20
Exploring Operation: 34-26=8, Resulting Numbers: [14, 38, 8]
Generated Node #0,4: 44:[14, 38, 8] Operation: 34-26=8
Moving to Node #0,2
Current State: 44:[26, 14, 4], Operations: ['38-34=4']
Exploring Operation: 14-4=10, Resulting Numbers: [26, 10]
Generated Node #0,2,0: 44:[26, 10] Operation: 14-4=10
Exploring Operation: 26+14=40, Resulting Numbers: [4, 40]
Generated Node #0,2,1: 44:[4, 40] Operation: 26+14=40
Exploring Operation: 14+4=18, Resulting Numbers: [26, 18]
Generated Node #0,2,2: 44:[26, 18] Operation: 14+4=18
Exploring Operation: 26-14=12, Resulting Numbers: [4, 12]
Generated Node #0,2,3: 44:[4, 12] Operation: 26-14=12
Exploring Operation: 26-4=22, Resulting Numbers: [14, 22]
Generated Node #0,2,4: 44:[14, 22] Operation: 26-4=22
Moving to Node #0,4
Current State: 44:[14, 38, 8], Operations: ['34-26=8']
Exploring Operation: 14+8=22, Resulting Numbers: [38, 22]
Generated Node #0,4,0: 44:[38, 22] Operation: 14+8=22
Exploring Operation: 14+38=52, Resulting Numbers: [8, 52]
Generated Node #0,4,1: 44:[8, 52] Operation: 14+38=52
Exploring Operation: 38+8=46, Resulting Numbers: [14, 46]
Generated Node #0,4,2: 44:[14, 46] Operation: 38+8=46
Exploring Operation: 14-8=6, Resulting Numbers: [38, 6]
Generated Node #0,4,3: 44:[38, 6] Operation: 14-8=6
Exploring Operation: 38-14=24, Resulting Numbers: [8, 24]
Generated Node #0,4,4: 44:[8, 24] Operation: 38-14=24
Moving to Node #0,3
Current State: 44:[26, 38, 20], Operations: ['34-14=20']
Exploring Operation: 38+20=58, Resulting Numbers: [26, 58]
Generated Node #0,3,0: 44:[26, 58] Operation: 38+20=58
Exploring Operation: 26-20=6, Resulting Numbers: [38, 6]
Generated Node #0,3,1: 44:[38, 6] Operation: 26-20=6
Exploring Operation: 38-20=18, Resulting Numbers: [26, 18]
Generated Node #0,3,2: 44:[26, 18] Operation: 38-20=18
Exploring Operation: 26+20=46, Resulting Numbers: [38, 46]
Generated Node #0,3,3: 44:[38, 46] Operation: 26+20=46
Exploring Operation: 38-26=12, Resulting Numbers: [20, 12]
Generated Node #0,3,4: 44:[20, 12] Operation: 38-26=12
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 44:[20, 12], Operations: ['34-14=20', '38-26=12']
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,44 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,44 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 #0,3,1
Current State: 44:[38, 6], Operations: ['34-14=20', '26-20=6']
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[34, 26, 14, 38], Operations: []
Exploring Operation: 34-14=20, Resulting Numbers: [26, 38, 20]
Generated Node #0,3: 44:[26, 38, 20] Operation: 34-14=20
Moving to Node #0,3
Current State: 44:[26, 38, 20], Operations: ['34-14=20']
Exploring Operation: 26-20=6, Resulting Numbers: [38, 6]
Generated Node #0,3,1: 44:[38, 6] Operation: 26-20=6
Moving to Node #0,3,1
Current State: 44:[38, 6], Operations: ['34-14=20', '26-20=6']
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_5 | mult_heuristic |
[
80,
66,
91,
51
] | 54 | [
"80-66=14",
"91-51=40",
"14+40=54"
] | Current State: 54:[80, 66, 91, 51], Operations: []
Exploring Operation: 80-66=14, Resulting Numbers: [91, 51, 14]
Generated Node #2: [91, 51, 14] from Operation: 80-66=14
Current State: 54:[91, 51, 14], Operations: ['80-66=14']
Exploring Operation: 91-51=40, Resulting Numbers: [14, 40]
Generated Node #3: [14, 40] from Operation: 91-51=40
Current State: 54:[14, 40], Operations: ['80-66=14', '91-51=40']
Exploring Operation: 14+40=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[80, 66, 91, 51], Operations: []
Exploring Operation: 80-66=14, Resulting Numbers: [91, 51, 14]
Generated Node #0,0: 54:[91, 51, 14] Operation: 80-66=14
Exploring Operation: 91-80=11, Resulting Numbers: [66, 51, 11]
Generated Node #0,1: 54:[66, 51, 11] Operation: 91-80=11
Exploring Operation: 91-66=25, Resulting Numbers: [80, 51, 25]
Generated Node #0,2: 54:[80, 51, 25] Operation: 91-66=25
Moving to Node #0,1
Current State: 54:[66, 51, 11], Operations: ['91-80=11']
Exploring Operation: 66/11=6, Resulting Numbers: [51, 6]
Generated Node #0,1,0: 54:[51, 6] Operation: 66/11=6
Exploring Operation: 66-11=55, Resulting Numbers: [51, 55]
Generated Node #0,1,1: 54:[51, 55] Operation: 66-11=55
Exploring Operation: 66-51=15, Resulting Numbers: [11, 15]
Generated Node #0,1,2: 54:[11, 15] Operation: 66-51=15
Moving to Node #0,2
Current State: 54:[80, 51, 25], Operations: ['91-66=25']
Exploring Operation: 80-25=55, Resulting Numbers: [51, 55]
Generated Node #0,2,0: 54:[51, 55] Operation: 80-25=55
Exploring Operation: 51-25=26, Resulting Numbers: [80, 26]
Generated Node #0,2,1: 54:[80, 26] Operation: 51-25=26
Exploring Operation: 80-51=29, Resulting Numbers: [25, 29]
Generated Node #0,2,2: 54:[25, 29] Operation: 80-51=29
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 54:[51, 55], Operations: ['91-66=25', '80-25=55']
Exploring Operation: 51*55=2805, Resulting Numbers: [2805]
2805,54 unequal: No Solution
Exploring Operation: 55-51=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 51+55=106, Resulting Numbers: [106]
106,54 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 #0,2,2
Current State: 54:[25, 29], Operations: ['91-66=25', '80-51=29']
Exploring Operation: 25+29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[80, 66, 91, 51], Operations: []
Exploring Operation: 91-66=25, Resulting Numbers: [80, 51, 25]
Generated Node #0,2: 54:[80, 51, 25] Operation: 91-66=25
Moving to Node #0,2
Current State: 54:[80, 51, 25], Operations: ['91-66=25']
Exploring Operation: 80-51=29, Resulting Numbers: [25, 29]
Generated Node #0,2,2: 54:[25, 29] Operation: 80-51=29
Moving to Node #0,2,2
Current State: 54:[25, 29], Operations: ['91-66=25', '80-51=29']
Exploring Operation: 25+29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
42,
92,
20,
13
] | 17 | [
"92-42=50",
"20+13=33",
"50-33=17"
] | Current State: 17:[42, 92, 20, 13], Operations: []
Exploring Operation: 92-42=50, Resulting Numbers: [20, 13, 50]
Generated Node #2: [20, 13, 50] from Operation: 92-42=50
Current State: 17:[20, 13, 50], Operations: ['92-42=50']
Exploring Operation: 20+13=33, Resulting Numbers: [50, 33]
Generated Node #3: [50, 33] from Operation: 20+13=33
Current State: 17:[50, 33], Operations: ['92-42=50', '20+13=33']
Exploring Operation: 50-33=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[42, 92, 20, 13], Operations: []
Exploring Operation: 92-42=50, Resulting Numbers: [20, 13, 50]
Generated Node #0,0: 17:[20, 13, 50] Operation: 92-42=50
Exploring Operation: 92-20=72, Resulting Numbers: [42, 13, 72]
Generated Node #0,1: 17:[42, 13, 72] Operation: 92-20=72
Exploring Operation: 92-13=79, Resulting Numbers: [42, 20, 79]
Generated Node #0,2: 17:[42, 20, 79] Operation: 92-13=79
Exploring Operation: 42-13=29, Resulting Numbers: [92, 20, 29]
Generated Node #0,3: 17:[92, 20, 29] Operation: 42-13=29
Exploring Operation: 42-20=22, Resulting Numbers: [92, 13, 22]
Generated Node #0,4: 17:[92, 13, 22] Operation: 42-20=22
Moving to Node #0,0
Current State: 17:[20, 13, 50], Operations: ['92-42=50']
Exploring Operation: 20-13=7, Resulting Numbers: [50, 7]
Generated Node #0,0,0: 17:[50, 7] Operation: 20-13=7
Exploring Operation: 50-20=30, Resulting Numbers: [13, 30]
Generated Node #0,0,1: 17:[13, 30] Operation: 50-20=30
Exploring Operation: 50-13=37, Resulting Numbers: [20, 37]
Generated Node #0,0,2: 17:[20, 37] Operation: 50-13=37
Exploring Operation: 20+13=33, Resulting Numbers: [50, 33]
Generated Node #0,0,3: 17:[50, 33] Operation: 20+13=33
Exploring Operation: 13+50=63, Resulting Numbers: [20, 63]
Generated Node #0,0,4: 17:[20, 63] Operation: 13+50=63
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 17:[13, 30], Operations: ['92-42=50', '50-20=30']
Exploring Operation: 13+30=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Exploring Operation: 13*30=390, Resulting Numbers: [390]
390,17 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[42, 92, 20, 13], Operations: []
Exploring Operation: 92-42=50, Resulting Numbers: [20, 13, 50]
Generated Node #0,0: 17:[20, 13, 50] Operation: 92-42=50
Moving to Node #0,0
Current State: 17:[20, 13, 50], Operations: ['92-42=50']
Exploring Operation: 50-20=30, Resulting Numbers: [13, 30]
Generated Node #0,0,1: 17:[13, 30] Operation: 50-20=30
Moving to Node #0,0,1
Current State: 17:[13, 30], Operations: ['92-42=50', '50-20=30']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
70,
81,
25,
86
] | 40 | [
"70+81=151",
"25+86=111",
"151-111=40"
] | Current State: 40:[70, 81, 25, 86], Operations: []
Exploring Operation: 70+81=151, Resulting Numbers: [25, 86, 151]
Generated Node #2: [25, 86, 151] from Operation: 70+81=151
Current State: 40:[25, 86, 151], Operations: ['70+81=151']
Exploring Operation: 25+86=111, Resulting Numbers: [151, 111]
Generated Node #3: [151, 111] from Operation: 25+86=111
Current State: 40:[151, 111], Operations: ['70+81=151', '25+86=111']
Exploring Operation: 151-111=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[70, 81, 25, 86], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [70, 25, 5]
Generated Node #0,0: 40:[70, 25, 5] Operation: 86-81=5
Exploring Operation: 86-70=16, Resulting Numbers: [81, 25, 16]
Generated Node #0,1: 40:[81, 25, 16] Operation: 86-70=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[70, 25, 5], Operations: ['86-81=5']
Exploring Operation: 70/5=14, Resulting Numbers: [25, 14]
Generated Node #0,0,0: 40:[25, 14] Operation: 70/5=14
Exploring Operation: 70-25=45, Resulting Numbers: [5, 45]
Generated Node #0,0,1: 40:[5, 45] Operation: 70-25=45
Moving to Node #0,0,1
Current State: 40:[5, 45], Operations: ['86-81=5', '70-25=45']
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[70, 81, 25, 86], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [70, 25, 5]
Generated Node #0,0: 40:[70, 25, 5] Operation: 86-81=5
Moving to Node #0,0
Current State: 40:[70, 25, 5], Operations: ['86-81=5']
Exploring Operation: 70-25=45, Resulting Numbers: [5, 45]
Generated Node #0,0,1: 40:[5, 45] Operation: 70-25=45
Moving to Node #0,0,1
Current State: 40:[5, 45], Operations: ['86-81=5', '70-25=45']
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
43,
43,
48,
77
] | 48 | [
"43-43=0",
"77*0=0",
"48+0=48"
] | Current State: 48:[43, 43, 48, 77], Operations: []
Exploring Operation: 43-43=0, Resulting Numbers: [48, 77, 0]
Generated Node #2: [48, 77, 0] from Operation: 43-43=0
Current State: 48:[48, 77, 0], Operations: ['43-43=0']
Exploring Operation: 77*0=0, Resulting Numbers: [48, 0]
Generated Node #3: [48, 0] from Operation: 77*0=0
Current State: 48:[48, 0], Operations: ['43-43=0', '77*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[43, 43, 48, 77], Operations: []
Exploring Operation: 77-48=29, Resulting Numbers: [43, 43, 29]
Generated Node #0,0: 48:[43, 43, 29] Operation: 77-48=29
Exploring Operation: 43/43=1, Resulting Numbers: [48, 77, 1]
Generated Node #0,1: 48:[48, 77, 1] Operation: 43/43=1
Exploring Operation: 77-43=34, Resulting Numbers: [43, 48, 34]
Generated Node #0,2: 48:[43, 48, 34] Operation: 77-43=34
Exploring Operation: 77-43=34, Resulting Numbers: [43, 48, 34]
Generated Node #0,3: 48:[43, 48, 34] Operation: 77-43=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[43, 43, 29], Operations: ['77-48=29']
Exploring Operation: 43/43=1, Resulting Numbers: [29, 1]
Generated Node #0,0,0: 48:[29, 1] Operation: 43/43=1
Exploring Operation: 43-29=14, Resulting Numbers: [43, 14]
Generated Node #0,0,1: 48:[43, 14] Operation: 43-29=14
Exploring Operation: 43-29=14, Resulting Numbers: [43, 14]
Generated Node #0,0,2: 48:[43, 14] Operation: 43-29=14
Exploring Operation: 43-43=0, Resulting Numbers: [29, 0]
Generated Node #0,0,3: 48:[29, 0] Operation: 43-43=0
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[29, 1], Operations: ['77-48=29', '43/43=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[43, 14], Operations: ['77-48=29', '43-29=14']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 43*14=602, Resulting Numbers: [602]
602,48 unequal: No Solution
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 48:[43, 14], Operations: ['77-48=29', '43-29=14']
Exploring Operation: 43*14=602, Resulting Numbers: [602]
602,48 unequal: No Solution
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 48:[29, 0], Operations: ['77-48=29', '43-43=0']
Exploring Operation: 29*0=0, Resulting Numbers: [0]
0,48 unequal: No Solution
Exploring Operation: 29+0=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 29-0=29, Resulting Numbers: [29]
29,48 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: 48:[43, 48, 34], Operations: ['77-43=34']
Exploring Operation: 43-34=9, Resulting Numbers: [48, 9]
Generated Node #0,2,0: 48:[48, 9] Operation: 43-34=9
Exploring Operation: 48-43=5, Resulting Numbers: [34, 5]
Generated Node #0,2,1: 48:[34, 5] Operation: 48-43=5
Exploring Operation: 48-34=14, Resulting Numbers: [43, 14]
Generated Node #0,2,2: 48:[43, 14] Operation: 48-34=14
Exploring Operation: 43+34=77, Resulting Numbers: [48, 77]
Generated Node #0,2,3: 48:[48, 77] Operation: 43+34=77
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 48:[48, 9], Operations: ['77-43=34', '43-34=9']
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 48:[43, 14], Operations: ['77-43=34', '48-34=14']
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 43*14=602, Resulting Numbers: [602]
602,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 48:[34, 5], Operations: ['77-43=34', '48-43=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 48:[48, 77], Operations: ['77-43=34', '43+34=77']
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 48*77=3696, Resulting Numbers: [3696]
3696,48 unequal: No Solution
Exploring Operation: 48+77=125, Resulting Numbers: [125]
125,48 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: 48:[43, 48, 34], Operations: ['77-43=34']
Exploring Operation: 43-34=9, Resulting Numbers: [48, 9]
Generated Node #0,3,0: 48:[48, 9] Operation: 43-34=9
Exploring Operation: 48-43=5, Resulting Numbers: [34, 5]
Generated Node #0,3,1: 48:[34, 5] Operation: 48-43=5
Exploring Operation: 43+34=77, Resulting Numbers: [48, 77]
Generated Node #0,3,2: 48:[48, 77] Operation: 43+34=77
Exploring Operation: 48-34=14, Resulting Numbers: [43, 14]
Generated Node #0,3,3: 48:[43, 14] Operation: 48-34=14
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 48:[48, 9], Operations: ['77-43=34', '43-34=9']
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,48 unequal: No Solution
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 48:[43, 14], Operations: ['77-43=34', '48-34=14']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 43*14=602, Resulting Numbers: [602]
602,48 unequal: No Solution
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 48:[34, 5], Operations: ['77-43=34', '48-43=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,48 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 48:[48, 77], Operations: ['77-43=34', '43+34=77']
Exploring Operation: 48+77=125, Resulting Numbers: [125]
125,48 unequal: No Solution
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 48*77=3696, Resulting Numbers: [3696]
3696,48 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: 48:[48, 77, 1], Operations: ['43/43=1']
Exploring Operation: 48/1=48, Resulting Numbers: [77, 48]
Generated Node #0,1,0: 48:[77, 48] Operation: 48/1=48
Exploring Operation: 77-48=29, Resulting Numbers: [1, 29]
Generated Node #0,1,1: 48:[1, 29] Operation: 77-48=29
Exploring Operation: 77-1=76, Resulting Numbers: [48, 76]
Generated Node #0,1,2: 48:[48, 76] Operation: 77-1=76
Exploring Operation: 48*1=48, Resulting Numbers: [77, 48]
Generated Node #0,1,3: 48:[77, 48] Operation: 48*1=48
Moving to Node #0,1,1
Current State: 48:[1, 29], Operations: ['43/43=1', '77-48=29']
Exploring Operation: 1+29=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 1*29=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[48, 76], Operations: ['43/43=1', '77-1=76']
Exploring Operation: 48*76=3648, Resulting Numbers: [3648]
3648,48 unequal: No Solution
Exploring Operation: 76-48=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 48+76=124, Resulting Numbers: [124]
124,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[77, 48], Operations: ['43/43=1', '48*1=48']
Exploring Operation: 77*48=3696, Resulting Numbers: [3696]
3696,48 unequal: No Solution
Exploring Operation: 77+48=125, Resulting Numbers: [125]
125,48 unequal: No Solution
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[77, 48], Operations: ['43/43=1', '48/1=48']
Exploring Operation: 77*48=3696, Resulting Numbers: [3696]
3696,48 unequal: No Solution
Exploring Operation: 77+48=125, Resulting Numbers: [125]
125,48 unequal: No Solution
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,48 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 |
[
23,
23,
70,
29
] | 98 | [
"23/23=1",
"70+29=99",
"99-1=98"
] | Current State: 98:[23, 23, 70, 29], Operations: []
Exploring Operation: 23/23=1, Resulting Numbers: [70, 29, 1]
Generated Node #2: [70, 29, 1] from Operation: 23/23=1
Current State: 98:[70, 29, 1], Operations: ['23/23=1']
Exploring Operation: 70+29=99, Resulting Numbers: [1, 99]
Generated Node #3: [1, 99] from Operation: 70+29=99
Current State: 98:[1, 99], Operations: ['23/23=1', '70+29=99']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[23, 23, 70, 29], Operations: []
Exploring Operation: 70-23=47, Resulting Numbers: [23, 29, 47]
Generated Node #0,0: 98:[23, 29, 47] Operation: 70-23=47
Exploring Operation: 70+29=99, Resulting Numbers: [23, 23, 99]
Generated Node #0,1: 98:[23, 23, 99] Operation: 70+29=99
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[23, 23, 99], Operations: ['70+29=99']
Exploring Operation: 23-23=0, Resulting Numbers: [99, 0]
Generated Node #0,1,0: 98:[99, 0] Operation: 23-23=0
Exploring Operation: 23/23=1, Resulting Numbers: [99, 1]
Generated Node #0,1,1: 98:[99, 1] Operation: 23/23=1
Moving to Node #0,1,1
Current State: 98:[99, 1], Operations: ['70+29=99', '23/23=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,98 unequal: No Solution
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[23, 23, 70, 29], Operations: []
Exploring Operation: 70+29=99, Resulting Numbers: [23, 23, 99]
Generated Node #0,1: 98:[23, 23, 99] Operation: 70+29=99
Moving to Node #0,1
Current State: 98:[23, 23, 99], Operations: ['70+29=99']
Exploring Operation: 23/23=1, Resulting Numbers: [99, 1]
Generated Node #0,1,1: 98:[99, 1] Operation: 23/23=1
Moving to Node #0,1,1
Current State: 98:[99, 1], Operations: ['70+29=99', '23/23=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
7,
41,
81,
68
] | 50 | [
"81-68=13",
"7*13=91",
"91-41=50"
] | Current State: 50:[7, 41, 81, 68], Operations: []
Exploring Operation: 81-68=13, Resulting Numbers: [7, 41, 13]
Generated Node #2: [7, 41, 13] from Operation: 81-68=13
Current State: 50:[7, 41, 13], Operations: ['81-68=13']
Exploring Operation: 7*13=91, Resulting Numbers: [41, 91]
Generated Node #3: [41, 91] from Operation: 7*13=91
Current State: 50:[41, 91], Operations: ['81-68=13', '7*13=91']
Exploring Operation: 91-41=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[7, 41, 81, 68], Operations: []
Exploring Operation: 81-68=13, Resulting Numbers: [7, 41, 13]
Generated Node #0,0: 50:[7, 41, 13] Operation: 81-68=13
Moving to Node #0,0
Current State: 50:[7, 41, 13], Operations: ['81-68=13']
Exploring Operation: 7+41=48, Resulting Numbers: [13, 48]
Generated Node #0,0,0: 50:[13, 48] Operation: 7+41=48
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[13, 48], Operations: ['81-68=13', '7+41=48']
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
48,
7,
46,
9
] | 61 | [
"48-46=2",
"7*9=63",
"63-2=61"
] | Current State: 61:[48, 7, 46, 9], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [7, 9, 2]
Generated Node #2: [7, 9, 2] from Operation: 48-46=2
Current State: 61:[7, 9, 2], Operations: ['48-46=2']
Exploring Operation: 7*9=63, Resulting Numbers: [2, 63]
Generated Node #3: [2, 63] from Operation: 7*9=63
Current State: 61:[2, 63], Operations: ['48-46=2', '7*9=63']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[48, 7, 46, 9], Operations: []
Exploring Operation: 7*9=63, Resulting Numbers: [48, 46, 63]
Generated Node #0,0: 61:[48, 46, 63] Operation: 7*9=63
Exploring Operation: 48+9=57, Resulting Numbers: [7, 46, 57]
Generated Node #0,1: 61:[7, 46, 57] Operation: 48+9=57
Exploring Operation: 48+7=55, Resulting Numbers: [46, 9, 55]
Generated Node #0,2: 61:[46, 9, 55] Operation: 48+7=55
Exploring Operation: 7+46=53, Resulting Numbers: [48, 9, 53]
Generated Node #0,3: 61:[48, 9, 53] Operation: 7+46=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[48, 46, 63], Operations: ['7*9=63']
Exploring Operation: 48-46=2, Resulting Numbers: [63, 2]
Generated Node #0,0,0: 61:[63, 2] Operation: 48-46=2
Exploring Operation: 48+46=94, Resulting Numbers: [63, 94]
Generated Node #0,0,1: 61:[63, 94] Operation: 48+46=94
Exploring Operation: 63-48=15, Resulting Numbers: [46, 15]
Generated Node #0,0,2: 61:[46, 15] Operation: 63-48=15
Exploring Operation: 63-46=17, Resulting Numbers: [48, 17]
Generated Node #0,0,3: 61:[48, 17] Operation: 63-46=17
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 61:[63, 94], Operations: ['7*9=63', '48+46=94']
Exploring Operation: 63*94=5922, Resulting Numbers: [5922]
5922,61 unequal: No Solution
Exploring Operation: 63+94=157, Resulting Numbers: [157]
157,61 unequal: No Solution
Exploring Operation: 94-63=31, Resulting Numbers: [31]
31,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 61:[48, 17], Operations: ['7*9=63', '63-46=17']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,61 unequal: No Solution
Exploring Operation: 48+17=65, Resulting Numbers: [65]
65,61 unequal: No Solution
Exploring Operation: 48*17=816, Resulting Numbers: [816]
816,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[63, 2], Operations: ['7*9=63', '48-46=2']
Exploring Operation: 63*2=126, Resulting Numbers: [126]
126,61 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[48, 7, 46, 9], Operations: []
Exploring Operation: 7*9=63, Resulting Numbers: [48, 46, 63]
Generated Node #0,0: 61:[48, 46, 63] Operation: 7*9=63
Moving to Node #0,0
Current State: 61:[48, 46, 63], Operations: ['7*9=63']
Exploring Operation: 48-46=2, Resulting Numbers: [63, 2]
Generated Node #0,0,0: 61:[63, 2] Operation: 48-46=2
Moving to Node #0,0,0
Current State: 61:[63, 2], Operations: ['7*9=63', '48-46=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
45,
65,
3,
89
] | 39 | [
"45/3=15",
"89-65=24",
"15+24=39"
] | Current State: 39:[45, 65, 3, 89], Operations: []
Exploring Operation: 45/3=15, Resulting Numbers: [65, 89, 15]
Generated Node #2: [65, 89, 15] from Operation: 45/3=15
Current State: 39:[65, 89, 15], Operations: ['45/3=15']
Exploring Operation: 89-65=24, Resulting Numbers: [15, 24]
Generated Node #3: [15, 24] from Operation: 89-65=24
Current State: 39:[15, 24], Operations: ['45/3=15', '89-65=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[45, 65, 3, 89], Operations: []
Exploring Operation: 65-45=20, Resulting Numbers: [3, 89, 20]
Generated Node #0,0: 39:[3, 89, 20] Operation: 65-45=20
Exploring Operation: 89-45=44, Resulting Numbers: [65, 3, 44]
Generated Node #0,1: 39:[65, 3, 44] Operation: 89-45=44
Exploring Operation: 45/3=15, Resulting Numbers: [65, 89, 15]
Generated Node #0,2: 39:[65, 89, 15] Operation: 45/3=15
Exploring Operation: 89-65=24, Resulting Numbers: [45, 3, 24]
Generated Node #0,3: 39:[45, 3, 24] Operation: 89-65=24
Start Sub Search at level 1: Moving to Node #0,3
Current State: 39:[45, 3, 24], Operations: ['89-65=24']
Exploring Operation: 24/3=8, Resulting Numbers: [45, 8]
Generated Node #0,3,0: 39:[45, 8] Operation: 24/3=8
Exploring Operation: 45-24=21, Resulting Numbers: [3, 21]
Generated Node #0,3,1: 39:[3, 21] Operation: 45-24=21
Exploring Operation: 45/3=15, Resulting Numbers: [24, 15]
Generated Node #0,3,2: 39:[24, 15] Operation: 45/3=15
Exploring Operation: 45-3=42, Resulting Numbers: [24, 42]
Generated Node #0,3,3: 39:[24, 42] Operation: 45-3=42
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 39:[3, 21], Operations: ['89-65=24', '45-24=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,39 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,39 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,39 unequal: No Solution
No 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: 39:[45, 8], Operations: ['89-65=24', '24/3=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 45*8=360, Resulting Numbers: [360]
360,39 unequal: No Solution
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,39 unequal: No Solution
No 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: 39:[24, 15], Operations: ['89-65=24', '45/3=15']
Exploring Operation: 24*15=360, Resulting Numbers: [360]
360,39 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[45, 65, 3, 89], Operations: []
Exploring Operation: 89-65=24, Resulting Numbers: [45, 3, 24]
Generated Node #0,3: 39:[45, 3, 24] Operation: 89-65=24
Moving to Node #0,3
Current State: 39:[45, 3, 24], Operations: ['89-65=24']
Exploring Operation: 45/3=15, Resulting Numbers: [24, 15]
Generated Node #0,3,2: 39:[24, 15] Operation: 45/3=15
Moving to Node #0,3,2
Current State: 39:[24, 15], Operations: ['89-65=24', '45/3=15']
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980903 | hs_4 | sum_heuristic |
[
79,
91,
20,
11
] | 21 | [
"91-79=12",
"20-11=9",
"12+9=21"
] | Current State: 21:[79, 91, 20, 11], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [20, 11, 12]
Generated Node #2: [20, 11, 12] from Operation: 91-79=12
Current State: 21:[20, 11, 12], Operations: ['91-79=12']
Exploring Operation: 20-11=9, Resulting Numbers: [12, 9]
Generated Node #3: [12, 9] from Operation: 20-11=9
Current State: 21:[12, 9], Operations: ['91-79=12', '20-11=9']
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[79, 91, 20, 11], Operations: []
Exploring Operation: 79-20=59, Resulting Numbers: [91, 11, 59]
Generated Node #0,0: 21:[91, 11, 59] Operation: 79-20=59
Exploring Operation: 91-20=71, Resulting Numbers: [79, 11, 71]
Generated Node #0,1: 21:[79, 11, 71] Operation: 91-20=71
Exploring Operation: 91-79=12, Resulting Numbers: [20, 11, 12]
Generated Node #0,2: 21:[20, 11, 12] Operation: 91-79=12
Moving to Node #0,2
Current State: 21:[20, 11, 12], Operations: ['91-79=12']
Exploring Operation: 11+12=23, Resulting Numbers: [20, 23]
Generated Node #0,2,0: 21:[20, 23] Operation: 11+12=23
Exploring Operation: 20-12=8, Resulting Numbers: [11, 8]
Generated Node #0,2,1: 21:[11, 8] Operation: 20-12=8
Exploring Operation: 12-11=1, Resulting Numbers: [20, 1]
Generated Node #0,2,2: 21:[20, 1] Operation: 12-11=1
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[20, 23], Operations: ['91-79=12', '11+12=23']
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,21 unequal: No Solution
Exploring Operation: 20*23=460, Resulting Numbers: [460]
460,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 21:[20, 1], Operations: ['91-79=12', '12-11=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,21 unequal: No Solution
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[79, 91, 20, 11], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [20, 11, 12]
Generated Node #0,2: 21:[20, 11, 12] Operation: 91-79=12
Moving to Node #0,2
Current State: 21:[20, 11, 12], Operations: ['91-79=12']
Exploring Operation: 12-11=1, Resulting Numbers: [20, 1]
Generated Node #0,2,2: 21:[20, 1] Operation: 12-11=1
Moving to Node #0,2,2
Current State: 21:[20, 1], Operations: ['91-79=12', '12-11=1']
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
54,
65,
69,
27
] | 54 | [
"69-65=4",
"27*4=108",
"108-54=54"
] | Current State: 54:[54, 65, 69, 27], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [54, 27, 4]
Generated Node #2: [54, 27, 4] from Operation: 69-65=4
Current State: 54:[54, 27, 4], Operations: ['69-65=4']
Exploring Operation: 27*4=108, Resulting Numbers: [54, 108]
Generated Node #3: [54, 108] from Operation: 27*4=108
Current State: 54:[54, 108], Operations: ['69-65=4', '27*4=108']
Exploring Operation: 108-54=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[54, 65, 69, 27], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [54, 27, 4]
Generated Node #0,0: 54:[54, 27, 4] Operation: 69-65=4
Exploring Operation: 69-54=15, Resulting Numbers: [65, 27, 15]
Generated Node #0,1: 54:[65, 27, 15] Operation: 69-54=15
Exploring Operation: 69-27=42, Resulting Numbers: [54, 65, 42]
Generated Node #0,2: 54:[54, 65, 42] Operation: 69-27=42
Exploring Operation: 65-54=11, Resulting Numbers: [69, 27, 11]
Generated Node #0,3: 54:[69, 27, 11] Operation: 65-54=11
Moving to Node #0,0
Current State: 54:[54, 27, 4], Operations: ['69-65=4']
Exploring Operation: 54-4=50, Resulting Numbers: [27, 50]
Generated Node #0,0,0: 54:[27, 50] Operation: 54-4=50
Exploring Operation: 54/27=2, Resulting Numbers: [4, 2]
Generated Node #0,0,1: 54:[4, 2] Operation: 54/27=2
Exploring Operation: 54-27=27, Resulting Numbers: [4, 27]
Generated Node #0,0,2: 54:[4, 27] Operation: 54-27=27
Exploring Operation: 54+4=58, Resulting Numbers: [27, 58]
Generated Node #0,0,3: 54:[27, 58] Operation: 54+4=58
Moving to Node #0,1
Current State: 54:[65, 27, 15], Operations: ['69-54=15']
Exploring Operation: 65-15=50, Resulting Numbers: [27, 50]
Generated Node #0,1,0: 54:[27, 50] Operation: 65-15=50
Exploring Operation: 27-15=12, Resulting Numbers: [65, 12]
Generated Node #0,1,1: 54:[65, 12] Operation: 27-15=12
Exploring Operation: 27+15=42, Resulting Numbers: [65, 42]
Generated Node #0,1,2: 54:[65, 42] Operation: 27+15=42
Exploring Operation: 65-27=38, Resulting Numbers: [15, 38]
Generated Node #0,1,3: 54:[15, 38] Operation: 65-27=38
Moving to Node #0,3
Current State: 54:[69, 27, 11], Operations: ['65-54=11']
Exploring Operation: 69-11=58, Resulting Numbers: [27, 58]
Generated Node #0,3,0: 54:[27, 58] Operation: 69-11=58
Exploring Operation: 69-27=42, Resulting Numbers: [11, 42]
Generated Node #0,3,1: 54:[11, 42] Operation: 69-27=42
Exploring Operation: 27-11=16, Resulting Numbers: [69, 16]
Generated Node #0,3,2: 54:[69, 16] Operation: 27-11=16
Exploring Operation: 69+11=80, Resulting Numbers: [27, 80]
Generated Node #0,3,3: 54:[27, 80] Operation: 69+11=80
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 54:[27, 58], Operations: ['65-54=11', '69-11=58']
Exploring Operation: 27*58=1566, Resulting Numbers: [1566]
1566,54 unequal: No Solution
Exploring Operation: 27+58=85, Resulting Numbers: [85]
85,54 unequal: No Solution
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,54 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 #0,3,1
Current State: 54:[11, 42], Operations: ['65-54=11', '69-27=42']
Exploring Operation: 11*42=462, Resulting Numbers: [462]
462,54 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 11+42=53, Resulting Numbers: [53]
53,54 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 #0,3,2
Current State: 54:[69, 16], Operations: ['65-54=11', '27-11=16']
Exploring Operation: 69*16=1104, Resulting Numbers: [1104]
1104,54 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,54 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 #0,3,3
Current State: 54:[27, 80], Operations: ['65-54=11', '69+11=80']
Exploring Operation: 27*80=2160, Resulting Numbers: [2160]
2160,54 unequal: No Solution
Exploring Operation: 27+80=107, Resulting Numbers: [107]
107,54 unequal: No Solution
Exploring Operation: 80-27=53, Resulting Numbers: [53]
53,54 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: 54:[54, 65, 42], Operations: ['69-27=42']
Exploring Operation: 65-54=11, Resulting Numbers: [42, 11]
Generated Node #0,2,0: 54:[42, 11] Operation: 65-54=11
Exploring Operation: 54-42=12, Resulting Numbers: [65, 12]
Generated Node #0,2,1: 54:[65, 12] Operation: 54-42=12
Exploring Operation: 65-42=23, Resulting Numbers: [54, 23]
Generated Node #0,2,2: 54:[54, 23] Operation: 65-42=23
Exploring Operation: 54+42=96, Resulting Numbers: [65, 96]
Generated Node #0,2,3: 54:[65, 96] Operation: 54+42=96
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 54:[54, 23], Operations: ['69-27=42', '65-42=23']
Exploring Operation: 54+23=77, Resulting Numbers: [77]
77,54 unequal: No Solution
Exploring Operation: 54*23=1242, Resulting Numbers: [1242]
1242,54 unequal: No Solution
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,54 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 #0,2,0
Current State: 54:[42, 11], Operations: ['69-27=42', '65-54=11']
Exploring Operation: 42*11=462, Resulting Numbers: [462]
462,54 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 42+11=53, Resulting Numbers: [53]
53,54 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 #0,2,1
Current State: 54:[65, 12], Operations: ['69-27=42', '54-42=12']
Exploring Operation: 65*12=780, Resulting Numbers: [780]
780,54 unequal: No Solution
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,54 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 #0,2,3
Current State: 54:[65, 96], Operations: ['69-27=42', '54+42=96']
Exploring Operation: 65*96=6240, Resulting Numbers: [6240]
6240,54 unequal: No Solution
Exploring Operation: 65+96=161, Resulting Numbers: [161]
161,54 unequal: No Solution
Exploring Operation: 96-65=31, Resulting Numbers: [31]
31,54 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: 54:[4, 2], Operations: ['69-65=4', '54/27=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Moving to Node #0,0,2
Current State: 54:[4, 27], Operations: ['69-65=4', '54-27=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,54 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,54 unequal: No Solution
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[27, 50], Operations: ['69-65=4', '54-4=50']
Exploring Operation: 27*50=1350, Resulting Numbers: [1350]
1350,54 unequal: No Solution
Exploring Operation: 27+50=77, Resulting Numbers: [77]
77,54 unequal: No Solution
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[27, 50], Operations: ['69-54=15', '65-15=50']
Exploring Operation: 27+50=77, Resulting Numbers: [77]
77,54 unequal: No Solution
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,54 unequal: No Solution
Exploring Operation: 27*50=1350, Resulting Numbers: [1350]
1350,54 unequal: No Solution
Moving to Node #0,0,3
Current State: 54:[27, 58], Operations: ['69-65=4', '54+4=58']
Exploring Operation: 27*58=1566, Resulting Numbers: [1566]
1566,54 unequal: No Solution
Exploring Operation: 27+58=85, Resulting Numbers: [85]
85,54 unequal: No Solution
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[65, 12], Operations: ['69-54=15', '27-15=12']
Exploring Operation: 65*12=780, Resulting Numbers: [780]
780,54 unequal: No Solution
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,54 unequal: No Solution
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Moving to Node #0,1,3
Current State: 54:[15, 38], Operations: ['69-54=15', '65-27=38']
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,54 unequal: No Solution
Exploring Operation: 15*38=570, Resulting Numbers: [570]
570,54 unequal: No Solution
Moving to Node #0,1,2
Current State: 54:[65, 42], Operations: ['69-54=15', '27+15=42']
Exploring Operation: 65-42=23, Resulting Numbers: [23]
23,54 unequal: No Solution
Exploring Operation: 65*42=2730, Resulting Numbers: [2730]
2730,54 unequal: No Solution
Exploring Operation: 65+42=107, Resulting Numbers: [107]
107,54 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
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