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 |
|---|---|---|---|---|---|---|---|---|
[
95,
38,
72,
53
] | 76 | [
"95-38=57",
"72-53=19",
"57+19=76"
] | Current State: 76:[95, 38, 72, 53], Operations: []
Exploring Operation: 95-38=57, Resulting Numbers: [72, 53, 57]
Generated Node #2: [72, 53, 57] from Operation: 95-38=57
Current State: 76:[72, 53, 57], Operations: ['95-38=57']
Exploring Operation: 72-53=19, Resulting Numbers: [57, 19]
Generated Node #3: [57, 19] from Operation: 72-53=19
Current State: 76:[57, 19], Operations: ['95-38=57', '72-53=19']
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[95, 38, 72, 53], Operations: []
Exploring Operation: 95-72=23, Resulting Numbers: [38, 53, 23]
Generated Node #0,0: 76:[38, 53, 23] Operation: 95-72=23
Exploring Operation: 95-53=42, Resulting Numbers: [38, 72, 42]
Generated Node #0,1: 76:[38, 72, 42] Operation: 95-53=42
Moving to Node #0,1
Current State: 76:[38, 72, 42], Operations: ['95-53=42']
Exploring Operation: 42-38=4, Resulting Numbers: [72, 4]
Generated Node #0,1,0: 76:[72, 4] Operation: 42-38=4
Exploring Operation: 72-38=34, Resulting Numbers: [42, 34]
Generated Node #0,1,1: 76:[42, 34] Operation: 72-38=34
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[72, 4], Operations: ['95-53=42', '42-38=4']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[95, 38, 72, 53], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [38, 72, 42]
Generated Node #0,1: 76:[38, 72, 42] Operation: 95-53=42
Moving to Node #0,1
Current State: 76:[38, 72, 42], Operations: ['95-53=42']
Exploring Operation: 42-38=4, Resulting Numbers: [72, 4]
Generated Node #0,1,0: 76:[72, 4] Operation: 42-38=4
Moving to Node #0,1,0
Current State: 76:[72, 4], Operations: ['95-53=42', '42-38=4']
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
81,
40,
85,
19
] | 17 | [
"81+40=121",
"85+19=104",
"121-104=17"
] | Current State: 17:[81, 40, 85, 19], Operations: []
Exploring Operation: 81+40=121, Resulting Numbers: [85, 19, 121]
Generated Node #2: [85, 19, 121] from Operation: 81+40=121
Current State: 17:[85, 19, 121], Operations: ['81+40=121']
Exploring Operation: 85+19=104, Resulting Numbers: [121, 104]
Generated Node #3: [121, 104] from Operation: 85+19=104
Current State: 17:[121, 104], Operations: ['81+40=121', '85+19=104']
Exploring Operation: 121-104=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[81, 40, 85, 19], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [40, 19, 4]
Generated Node #0,0: 17:[40, 19, 4] Operation: 85-81=4
Exploring Operation: 85-40=45, Resulting Numbers: [81, 19, 45]
Generated Node #0,1: 17:[81, 19, 45] Operation: 85-40=45
Exploring Operation: 81-19=62, Resulting Numbers: [40, 85, 62]
Generated Node #0,2: 17:[40, 85, 62] Operation: 81-19=62
Exploring Operation: 81-40=41, Resulting Numbers: [85, 19, 41]
Generated Node #0,3: 17:[85, 19, 41] Operation: 81-40=41
Moving to Node #0,0
Current State: 17:[40, 19, 4], Operations: ['85-81=4']
Exploring Operation: 40-4=36, Resulting Numbers: [19, 36]
Generated Node #0,0,0: 17:[19, 36] Operation: 40-4=36
Exploring Operation: 40/4=10, Resulting Numbers: [19, 10]
Generated Node #0,0,1: 17:[19, 10] Operation: 40/4=10
Exploring Operation: 19-4=15, Resulting Numbers: [40, 15]
Generated Node #0,0,2: 17:[40, 15] Operation: 19-4=15
Exploring Operation: 40-19=21, Resulting Numbers: [4, 21]
Generated Node #0,0,3: 17:[4, 21] Operation: 40-19=21
Moving to Node #0,3
Current State: 17:[85, 19, 41], Operations: ['81-40=41']
Exploring Operation: 41-19=22, Resulting Numbers: [85, 22]
Generated Node #0,3,0: 17:[85, 22] Operation: 41-19=22
Exploring Operation: 85-41=44, Resulting Numbers: [19, 44]
Generated Node #0,3,1: 17:[19, 44] Operation: 85-41=44
Exploring Operation: 85-19=66, Resulting Numbers: [41, 66]
Generated Node #0,3,2: 17:[41, 66] Operation: 85-19=66
Exploring Operation: 85+19=104, Resulting Numbers: [41, 104]
Generated Node #0,3,3: 17:[41, 104] Operation: 85+19=104
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 17:[19, 44], Operations: ['81-40=41', '85-41=44']
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,17 unequal: No Solution
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,17 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,17 unequal: No Solution
No 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: 17:[85, 22], Operations: ['81-40=41', '41-19=22']
Exploring Operation: 85*22=1870, Resulting Numbers: [1870]
1870,17 unequal: No Solution
Exploring Operation: 85+22=107, Resulting Numbers: [107]
107,17 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,17 unequal: No Solution
No 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: 17:[41, 66], Operations: ['81-40=41', '85-19=66']
Exploring Operation: 41*66=2706, Resulting Numbers: [2706]
2706,17 unequal: No Solution
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,17 unequal: No Solution
Exploring Operation: 41+66=107, Resulting Numbers: [107]
107,17 unequal: No Solution
No 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: 17:[41, 104], Operations: ['81-40=41', '85+19=104']
Exploring Operation: 41*104=4264, Resulting Numbers: [4264]
4264,17 unequal: No Solution
Exploring Operation: 104-41=63, Resulting Numbers: [63]
63,17 unequal: No Solution
Exploring Operation: 41+104=145, Resulting Numbers: [145]
145,17 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: 17:[81, 19, 45], Operations: ['85-40=45']
Exploring Operation: 81-45=36, Resulting Numbers: [19, 36]
Generated Node #0,1,0: 17:[19, 36] Operation: 81-45=36
Exploring Operation: 45-19=26, Resulting Numbers: [81, 26]
Generated Node #0,1,1: 17:[81, 26] Operation: 45-19=26
Exploring Operation: 81-19=62, Resulting Numbers: [45, 62]
Generated Node #0,1,2: 17:[45, 62] Operation: 81-19=62
Exploring Operation: 81+19=100, Resulting Numbers: [45, 100]
Generated Node #0,1,3: 17:[45, 100] Operation: 81+19=100
Moving to Node #0,2
Current State: 17:[40, 85, 62], Operations: ['81-19=62']
Exploring Operation: 85-62=23, Resulting Numbers: [40, 23]
Generated Node #0,2,0: 17:[40, 23] Operation: 85-62=23
Exploring Operation: 85-40=45, Resulting Numbers: [62, 45]
Generated Node #0,2,1: 17:[62, 45] Operation: 85-40=45
Exploring Operation: 62-40=22, Resulting Numbers: [85, 22]
Generated Node #0,2,2: 17:[85, 22] Operation: 62-40=22
Exploring Operation: 40+85=125, Resulting Numbers: [62, 125]
Generated Node #0,2,3: 17:[62, 125] Operation: 40+85=125
Moving to Node #0,0,1
Current State: 17:[19, 10], Operations: ['85-81=4', '40/4=10']
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,17 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[4, 21], Operations: ['85-81=4', '40-19=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[81, 40, 85, 19], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [40, 19, 4]
Generated Node #0,0: 17:[40, 19, 4] Operation: 85-81=4
Moving to Node #0,0
Current State: 17:[40, 19, 4], Operations: ['85-81=4']
Exploring Operation: 40-19=21, Resulting Numbers: [4, 21]
Generated Node #0,0,3: 17:[4, 21] Operation: 40-19=21
Moving to Node #0,0,3
Current State: 17:[4, 21], Operations: ['85-81=4', '40-19=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 0.965278 | hs_4 | mult_heuristic |
[
29,
20,
44,
38
] | 33 | [
"29+20=49",
"44+38=82",
"82-49=33"
] | Current State: 33:[29, 20, 44, 38], Operations: []
Exploring Operation: 29+20=49, Resulting Numbers: [44, 38, 49]
Generated Node #2: [44, 38, 49] from Operation: 29+20=49
Current State: 33:[44, 38, 49], Operations: ['29+20=49']
Exploring Operation: 44+38=82, Resulting Numbers: [49, 82]
Generated Node #3: [49, 82] from Operation: 44+38=82
Current State: 33:[49, 82], Operations: ['29+20=49', '44+38=82']
Exploring Operation: 82-49=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[29, 20, 44, 38], Operations: []
Exploring Operation: 44-29=15, Resulting Numbers: [20, 38, 15]
Generated Node #0,0: 33:[20, 38, 15] Operation: 44-29=15
Exploring Operation: 44-20=24, Resulting Numbers: [29, 38, 24]
Generated Node #0,1: 33:[29, 38, 24] Operation: 44-20=24
Exploring Operation: 29-20=9, Resulting Numbers: [44, 38, 9]
Generated Node #0,2: 33:[44, 38, 9] Operation: 29-20=9
Exploring Operation: 44-38=6, Resulting Numbers: [29, 20, 6]
Generated Node #0,3: 33:[29, 20, 6] Operation: 44-38=6
Moving to Node #0,3
Current State: 33:[29, 20, 6], Operations: ['44-38=6']
Exploring Operation: 29+6=35, Resulting Numbers: [20, 35]
Generated Node #0,3,0: 33:[20, 35] Operation: 29+6=35
Exploring Operation: 29-20=9, Resulting Numbers: [6, 9]
Generated Node #0,3,1: 33:[6, 9] Operation: 29-20=9
Exploring Operation: 20+6=26, Resulting Numbers: [29, 26]
Generated Node #0,3,2: 33:[29, 26] Operation: 20+6=26
Exploring Operation: 20-6=14, Resulting Numbers: [29, 14]
Generated Node #0,3,3: 33:[29, 14] Operation: 20-6=14
Moving to Node #0,1
Current State: 33:[29, 38, 24], Operations: ['44-20=24']
Exploring Operation: 29+24=53, Resulting Numbers: [38, 53]
Generated Node #0,1,0: 33:[38, 53] Operation: 29+24=53
Exploring Operation: 38-24=14, Resulting Numbers: [29, 14]
Generated Node #0,1,1: 33:[29, 14] Operation: 38-24=14
Exploring Operation: 29-24=5, Resulting Numbers: [38, 5]
Generated Node #0,1,2: 33:[38, 5] Operation: 29-24=5
Exploring Operation: 38-29=9, Resulting Numbers: [24, 9]
Generated Node #0,1,3: 33:[24, 9] Operation: 38-29=9
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 33:[29, 14], Operations: ['44-20=24', '38-24=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 33:[38, 5], Operations: ['44-20=24', '29-24=5']
Exploring Operation: 38*5=190, Resulting Numbers: [190]
190,33 unequal: No Solution
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[29, 20, 44, 38], Operations: []
Exploring Operation: 44-20=24, Resulting Numbers: [29, 38, 24]
Generated Node #0,1: 33:[29, 38, 24] Operation: 44-20=24
Moving to Node #0,1
Current State: 33:[29, 38, 24], Operations: ['44-20=24']
Exploring Operation: 29-24=5, Resulting Numbers: [38, 5]
Generated Node #0,1,2: 33:[38, 5] Operation: 29-24=5
Moving to Node #0,1,2
Current State: 33:[38, 5], Operations: ['44-20=24', '29-24=5']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
79,
59,
98,
40
] | 78 | [
"79-59=20",
"98-40=58",
"20+58=78"
] | Current State: 78:[79, 59, 98, 40], Operations: []
Exploring Operation: 79-59=20, Resulting Numbers: [98, 40, 20]
Generated Node #2: [98, 40, 20] from Operation: 79-59=20
Current State: 78:[98, 40, 20], Operations: ['79-59=20']
Exploring Operation: 98-40=58, Resulting Numbers: [20, 58]
Generated Node #3: [20, 58] from Operation: 98-40=58
Current State: 78:[20, 58], Operations: ['79-59=20', '98-40=58']
Exploring Operation: 20+58=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[79, 59, 98, 40], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [79, 40, 39]
Generated Node #0,0: 78:[79, 40, 39] Operation: 98-59=39
Exploring Operation: 98-79=19, Resulting Numbers: [59, 40, 19]
Generated Node #0,1: 78:[59, 40, 19] Operation: 98-79=19
Exploring Operation: 79-59=20, Resulting Numbers: [98, 40, 20]
Generated Node #0,2: 78:[98, 40, 20] Operation: 79-59=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[79, 40, 39], Operations: ['98-59=39']
Exploring Operation: 40+39=79, Resulting Numbers: [79, 79]
Generated Node #0,0,0: 78:[79, 79] Operation: 40+39=79
Exploring Operation: 79-39=40, Resulting Numbers: [40, 40]
Generated Node #0,0,1: 78:[40, 40] Operation: 79-39=40
Exploring Operation: 79-40=39, Resulting Numbers: [39, 39]
Generated Node #0,0,2: 78:[39, 39] Operation: 79-40=39
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 78:[39, 39], Operations: ['98-59=39', '79-40=39']
Exploring Operation: 39/39=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 39+39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[79, 59, 98, 40], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [79, 40, 39]
Generated Node #0,0: 78:[79, 40, 39] Operation: 98-59=39
Moving to Node #0,0
Current State: 78:[79, 40, 39], Operations: ['98-59=39']
Exploring Operation: 79-40=39, Resulting Numbers: [39, 39]
Generated Node #0,0,2: 78:[39, 39] Operation: 79-40=39
Moving to Node #0,0,2
Current State: 78:[39, 39], Operations: ['98-59=39', '79-40=39']
Exploring Operation: 39+39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
46,
86,
6,
8
] | 56 | [
"86-6=80",
"80/8=10",
"46+10=56"
] | Current State: 56:[46, 86, 6, 8], Operations: []
Exploring Operation: 86-6=80, Resulting Numbers: [46, 8, 80]
Generated Node #2: [46, 8, 80] from Operation: 86-6=80
Current State: 56:[46, 8, 80], Operations: ['86-6=80']
Exploring Operation: 80/8=10, Resulting Numbers: [46, 10]
Generated Node #3: [46, 10] from Operation: 80/8=10
Current State: 56:[46, 10], Operations: ['86-6=80', '80/8=10']
Exploring Operation: 46+10=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[46, 86, 6, 8], Operations: []
Exploring Operation: 86-46=40, Resulting Numbers: [6, 8, 40]
Generated Node #0,0: 56:[6, 8, 40] Operation: 86-46=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[6, 8, 40], Operations: ['86-46=40']
Exploring Operation: 40/8=5, Resulting Numbers: [6, 5]
Generated Node #0,0,0: 56:[6, 5] Operation: 40/8=5
Moving to Node #0,0,0
Current State: 56:[6, 5], Operations: ['86-46=40', '40/8=5']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
48,
4,
52,
74
] | 40 | [
"74-52=22",
"4*22=88",
"88-48=40"
] | Current State: 40:[48, 4, 52, 74], Operations: []
Exploring Operation: 74-52=22, Resulting Numbers: [48, 4, 22]
Generated Node #2: [48, 4, 22] from Operation: 74-52=22
Current State: 40:[48, 4, 22], Operations: ['74-52=22']
Exploring Operation: 4*22=88, Resulting Numbers: [48, 88]
Generated Node #3: [48, 88] from Operation: 4*22=88
Current State: 40:[48, 88], Operations: ['74-52=22', '4*22=88']
Exploring Operation: 88-48=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[48, 4, 52, 74], Operations: []
Exploring Operation: 74-52=22, Resulting Numbers: [48, 4, 22]
Generated Node #0,0: 40:[48, 4, 22] Operation: 74-52=22
Exploring Operation: 74-48=26, Resulting Numbers: [4, 52, 26]
Generated Node #0,1: 40:[4, 52, 26] Operation: 74-48=26
Moving to Node #0,0
Current State: 40:[48, 4, 22], Operations: ['74-52=22']
Exploring Operation: 48-4=44, Resulting Numbers: [22, 44]
Generated Node #0,0,0: 40:[22, 44] Operation: 48-4=44
Exploring Operation: 48/4=12, Resulting Numbers: [22, 12]
Generated Node #0,0,1: 40:[22, 12] Operation: 48/4=12
Moving to Node #0,1
Current State: 40:[4, 52, 26], Operations: ['74-48=26']
Exploring Operation: 52/26=2, Resulting Numbers: [4, 2]
Generated Node #0,1,0: 40:[4, 2] Operation: 52/26=2
Exploring Operation: 52-26=26, Resulting Numbers: [4, 26]
Generated Node #0,1,1: 40:[4, 26] Operation: 52-26=26
Moving to Node #0,1,0
Current State: 40:[4, 2], Operations: ['74-48=26', '52/26=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[22, 12], Operations: ['74-52=22', '48/4=12']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[22, 44], Operations: ['74-52=22', '48-4=44']
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[4, 26], Operations: ['74-48=26', '52-26=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,40 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,40 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
14,
2,
84,
90
] | 96 | [
"14+2=16",
"90-84=6",
"16*6=96"
] | Current State: 96:[14, 2, 84, 90], Operations: []
Exploring Operation: 14+2=16, Resulting Numbers: [84, 90, 16]
Generated Node #2: [84, 90, 16] from Operation: 14+2=16
Current State: 96:[84, 90, 16], Operations: ['14+2=16']
Exploring Operation: 90-84=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 90-84=6
Current State: 96:[16, 6], Operations: ['14+2=16', '90-84=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[14, 2, 84, 90], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [14, 2, 6]
Generated Node #0,0: 96:[14, 2, 6] Operation: 90-84=6
Exploring Operation: 84/14=6, Resulting Numbers: [2, 90, 6]
Generated Node #0,1: 96:[2, 90, 6] Operation: 84/14=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[14, 2, 6], Operations: ['90-84=6']
Exploring Operation: 14+2=16, Resulting Numbers: [6, 16]
Generated Node #0,0,0: 96:[6, 16] Operation: 14+2=16
Exploring Operation: 14-2=12, Resulting Numbers: [6, 12]
Generated Node #0,0,1: 96:[6, 12] Operation: 14-2=12
Moving to Node #0,0,0
Current State: 96:[6, 16], Operations: ['90-84=6', '14+2=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[14, 2, 84, 90], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [14, 2, 6]
Generated Node #0,0: 96:[14, 2, 6] Operation: 90-84=6
Moving to Node #0,0
Current State: 96:[14, 2, 6], Operations: ['90-84=6']
Exploring Operation: 14+2=16, Resulting Numbers: [6, 16]
Generated Node #0,0,0: 96:[6, 16] Operation: 14+2=16
Moving to Node #0,0,0
Current State: 96:[6, 16], Operations: ['90-84=6', '14+2=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
18,
14,
49,
62
] | 45 | [
"18+14=32",
"62-49=13",
"32+13=45"
] | Current State: 45:[18, 14, 49, 62], Operations: []
Exploring Operation: 18+14=32, Resulting Numbers: [49, 62, 32]
Generated Node #2: [49, 62, 32] from Operation: 18+14=32
Current State: 45:[49, 62, 32], Operations: ['18+14=32']
Exploring Operation: 62-49=13, Resulting Numbers: [32, 13]
Generated Node #3: [32, 13] from Operation: 62-49=13
Current State: 45:[32, 13], Operations: ['18+14=32', '62-49=13']
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[18, 14, 49, 62], Operations: []
Exploring Operation: 18-14=4, Resulting Numbers: [49, 62, 4]
Generated Node #0,0: 45:[49, 62, 4] Operation: 18-14=4
Exploring Operation: 62-49=13, Resulting Numbers: [18, 14, 13]
Generated Node #0,1: 45:[18, 14, 13] Operation: 62-49=13
Exploring Operation: 62-14=48, Resulting Numbers: [18, 49, 48]
Generated Node #0,2: 45:[18, 49, 48] Operation: 62-14=48
Exploring Operation: 62-18=44, Resulting Numbers: [14, 49, 44]
Generated Node #0,3: 45:[14, 49, 44] Operation: 62-18=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[18, 14, 13], Operations: ['62-49=13']
Exploring Operation: 18+14=32, Resulting Numbers: [13, 32]
Generated Node #0,1,0: 45:[13, 32] Operation: 18+14=32
Exploring Operation: 18-14=4, Resulting Numbers: [13, 4]
Generated Node #0,1,1: 45:[13, 4] Operation: 18-14=4
Exploring Operation: 14-13=1, Resulting Numbers: [18, 1]
Generated Node #0,1,2: 45:[18, 1] Operation: 14-13=1
Exploring Operation: 18-13=5, Resulting Numbers: [14, 5]
Generated Node #0,1,3: 45:[14, 5] Operation: 18-13=5
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 45:[14, 5], Operations: ['62-49=13', '18-13=5']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,45 unequal: No Solution
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,45 unequal: No Solution
No 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: 45:[13, 4], Operations: ['62-49=13', '18-14=4']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,45 unequal: No Solution
No 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: 45:[18, 1], Operations: ['62-49=13', '14-13=1']
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,45 unequal: No Solution
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,45 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,45 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,45 unequal: No Solution
No 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: 45:[13, 32], Operations: ['62-49=13', '18+14=32']
Exploring Operation: 13*32=416, Resulting Numbers: [416]
416,45 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,45 unequal: No Solution
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[18, 14, 49, 62], Operations: []
Exploring Operation: 62-49=13, Resulting Numbers: [18, 14, 13]
Generated Node #0,1: 45:[18, 14, 13] Operation: 62-49=13
Moving to Node #0,1
Current State: 45:[18, 14, 13], Operations: ['62-49=13']
Exploring Operation: 18+14=32, Resulting Numbers: [13, 32]
Generated Node #0,1,0: 45:[13, 32] Operation: 18+14=32
Moving to Node #0,1,0
Current State: 45:[13, 32], Operations: ['62-49=13', '18+14=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_4 | sum_heuristic |
[
12,
2,
44,
67
] | 83 | [
"44-12=32",
"32/2=16",
"67+16=83"
] | Current State: 83:[12, 2, 44, 67], Operations: []
Exploring Operation: 44-12=32, Resulting Numbers: [2, 67, 32]
Generated Node #2: [2, 67, 32] from Operation: 44-12=32
Current State: 83:[2, 67, 32], Operations: ['44-12=32']
Exploring Operation: 32/2=16, Resulting Numbers: [67, 16]
Generated Node #3: [67, 16] from Operation: 32/2=16
Current State: 83:[67, 16], Operations: ['44-12=32', '32/2=16']
Exploring Operation: 67+16=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[12, 2, 44, 67], Operations: []
Exploring Operation: 12+44=56, Resulting Numbers: [2, 67, 56]
Generated Node #0,0: 83:[2, 67, 56] Operation: 12+44=56
Exploring Operation: 2*44=88, Resulting Numbers: [12, 67, 88]
Generated Node #0,1: 83:[12, 67, 88] Operation: 2*44=88
Exploring Operation: 12+2=14, Resulting Numbers: [44, 67, 14]
Generated Node #0,2: 83:[44, 67, 14] Operation: 12+2=14
Exploring Operation: 12*2=24, Resulting Numbers: [44, 67, 24]
Generated Node #0,3: 83:[44, 67, 24] Operation: 12*2=24
Moving to Node #0,1
Current State: 83:[12, 67, 88], Operations: ['2*44=88']
Exploring Operation: 67-12=55, Resulting Numbers: [88, 55]
Generated Node #0,1,0: 83:[88, 55] Operation: 67-12=55
Exploring Operation: 12+88=100, Resulting Numbers: [67, 100]
Generated Node #0,1,1: 83:[67, 100] Operation: 12+88=100
Exploring Operation: 88-12=76, Resulting Numbers: [67, 76]
Generated Node #0,1,2: 83:[67, 76] Operation: 88-12=76
Exploring Operation: 12+67=79, Resulting Numbers: [88, 79]
Generated Node #0,1,3: 83:[88, 79] Operation: 12+67=79
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 83:[88, 79], Operations: ['2*44=88', '12+67=79']
Exploring Operation: 88-79=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Exploring Operation: 88+79=167, Resulting Numbers: [167]
167,83 unequal: No Solution
Exploring Operation: 88*79=6952, Resulting Numbers: [6952]
6952,83 unequal: No Solution
No 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: 83:[67, 76], Operations: ['2*44=88', '88-12=76']
Exploring Operation: 67*76=5092, Resulting Numbers: [5092]
5092,83 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Exploring Operation: 67+76=143, Resulting Numbers: [143]
143,83 unequal: No Solution
No 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: 83:[88, 55], Operations: ['2*44=88', '67-12=55']
Exploring Operation: 88+55=143, Resulting Numbers: [143]
143,83 unequal: No Solution
Exploring Operation: 88-55=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 88*55=4840, Resulting Numbers: [4840]
4840,83 unequal: No Solution
No 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: 83:[67, 100], Operations: ['2*44=88', '12+88=100']
Exploring Operation: 100-67=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 67+100=167, Resulting Numbers: [167]
167,83 unequal: No Solution
Exploring Operation: 67*100=6700, Resulting Numbers: [6700]
6700,83 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: 83:[44, 67, 24], Operations: ['12*2=24']
Exploring Operation: 67-24=43, Resulting Numbers: [44, 43]
Generated Node #0,3,0: 83:[44, 43] Operation: 67-24=43
Exploring Operation: 44+24=68, Resulting Numbers: [67, 68]
Generated Node #0,3,1: 83:[67, 68] Operation: 44+24=68
Exploring Operation: 67+24=91, Resulting Numbers: [44, 91]
Generated Node #0,3,2: 83:[44, 91] Operation: 67+24=91
Exploring Operation: 44-24=20, Resulting Numbers: [67, 20]
Generated Node #0,3,3: 83:[67, 20] Operation: 44-24=20
Moving to Node #0,2
Current State: 83:[44, 67, 14], Operations: ['12+2=14']
Exploring Operation: 44+14=58, Resulting Numbers: [67, 58]
Generated Node #0,2,0: 83:[67, 58] Operation: 44+14=58
Exploring Operation: 44-14=30, Resulting Numbers: [67, 30]
Generated Node #0,2,1: 83:[67, 30] Operation: 44-14=30
Exploring Operation: 67+14=81, Resulting Numbers: [44, 81]
Generated Node #0,2,2: 83:[44, 81] Operation: 67+14=81
Exploring Operation: 67-14=53, Resulting Numbers: [44, 53]
Generated Node #0,2,3: 83:[44, 53] Operation: 67-14=53
Moving to Node #0,0
Current State: 83:[2, 67, 56], Operations: ['12+44=56']
Exploring Operation: 2*56=112, Resulting Numbers: [67, 112]
Generated Node #0,0,0: 83:[67, 112] Operation: 2*56=112
Exploring Operation: 2+67=69, Resulting Numbers: [56, 69]
Generated Node #0,0,1: 83:[56, 69] Operation: 2+67=69
Exploring Operation: 2+56=58, Resulting Numbers: [67, 58]
Generated Node #0,0,2: 83:[67, 58] Operation: 2+56=58
Exploring Operation: 67-2=65, Resulting Numbers: [56, 65]
Generated Node #0,0,3: 83:[56, 65] Operation: 67-2=65
Moving to Node #0,3,1
Current State: 83:[67, 68], Operations: ['12*2=24', '44+24=68']
Exploring Operation: 67*68=4556, Resulting Numbers: [4556]
4556,83 unequal: No Solution
Exploring Operation: 67+68=135, Resulting Numbers: [135]
135,83 unequal: No Solution
Exploring Operation: 68-67=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[44, 81], Operations: ['12+2=14', '67+14=81']
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 44*81=3564, Resulting Numbers: [3564]
3564,83 unequal: No Solution
Exploring Operation: 44+81=125, Resulting Numbers: [125]
125,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[67, 58], Operations: ['12+2=14', '44+14=58']
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Exploring Operation: 67+58=125, Resulting Numbers: [125]
125,83 unequal: No Solution
Exploring Operation: 67*58=3886, Resulting Numbers: [3886]
3886,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[67, 58], Operations: ['12+44=56', '2+56=58']
Exploring Operation: 67+58=125, Resulting Numbers: [125]
125,83 unequal: No Solution
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Exploring Operation: 67*58=3886, Resulting Numbers: [3886]
3886,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[56, 69], Operations: ['12+44=56', '2+67=69']
Exploring Operation: 56*69=3864, Resulting Numbers: [3864]
3864,83 unequal: No Solution
Exploring Operation: 56+69=125, Resulting Numbers: [125]
125,83 unequal: No Solution
Exploring Operation: 69-56=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[56, 65], Operations: ['12+44=56', '67-2=65']
Exploring Operation: 56+65=121, Resulting Numbers: [121]
121,83 unequal: No Solution
Exploring Operation: 65-56=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Exploring Operation: 56*65=3640, Resulting Numbers: [3640]
3640,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[67, 112], Operations: ['12+44=56', '2*56=112']
Exploring Operation: 67*112=7504, Resulting Numbers: [7504]
7504,83 unequal: No Solution
Exploring Operation: 112-67=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Exploring Operation: 67+112=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[44, 91], Operations: ['12*2=24', '67+24=91']
Exploring Operation: 44*91=4004, Resulting Numbers: [4004]
4004,83 unequal: No Solution
Exploring Operation: 91-44=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 44+91=135, Resulting Numbers: [135]
135,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[67, 30], Operations: ['12+2=14', '44-14=30']
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 67*30=2010, Resulting Numbers: [2010]
2010,83 unequal: No Solution
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[44, 53], Operations: ['12+2=14', '67-14=53']
Exploring Operation: 53-44=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Exploring Operation: 44*53=2332, Resulting Numbers: [2332]
2332,83 unequal: No Solution
Exploring Operation: 44+53=97, Resulting Numbers: [97]
97,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[67, 20], Operations: ['12*2=24', '44-24=20']
Exploring Operation: 67*20=1340, Resulting Numbers: [1340]
1340,83 unequal: No Solution
Exploring Operation: 67+20=87, Resulting Numbers: [87]
87,83 unequal: No Solution
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[44, 43], Operations: ['12*2=24', '67-24=43']
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 44+43=87, Resulting Numbers: [87]
87,83 unequal: No Solution
Exploring Operation: 44*43=1892, Resulting Numbers: [1892]
1892,83 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
73,
19,
42,
11
] | 39 | [
"73+19=92",
"42+11=53",
"92-53=39"
] | Current State: 39:[73, 19, 42, 11], Operations: []
Exploring Operation: 73+19=92, Resulting Numbers: [42, 11, 92]
Generated Node #2: [42, 11, 92] from Operation: 73+19=92
Current State: 39:[42, 11, 92], Operations: ['73+19=92']
Exploring Operation: 42+11=53, Resulting Numbers: [92, 53]
Generated Node #3: [92, 53] from Operation: 42+11=53
Current State: 39:[92, 53], Operations: ['73+19=92', '42+11=53']
Exploring Operation: 92-53=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[73, 19, 42, 11], Operations: []
Exploring Operation: 73-19=54, Resulting Numbers: [42, 11, 54]
Generated Node #0,0: 39:[42, 11, 54] Operation: 73-19=54
Exploring Operation: 73-11=62, Resulting Numbers: [19, 42, 62]
Generated Node #0,1: 39:[19, 42, 62] Operation: 73-11=62
Exploring Operation: 19-11=8, Resulting Numbers: [73, 42, 8]
Generated Node #0,2: 39:[73, 42, 8] Operation: 19-11=8
Exploring Operation: 73-42=31, Resulting Numbers: [19, 11, 31]
Generated Node #0,3: 39:[19, 11, 31] Operation: 73-42=31
Moving to Node #0,3
Current State: 39:[19, 11, 31], Operations: ['73-42=31']
Exploring Operation: 19+31=50, Resulting Numbers: [11, 50]
Generated Node #0,3,0: 39:[11, 50] Operation: 19+31=50
Exploring Operation: 11+31=42, Resulting Numbers: [19, 42]
Generated Node #0,3,1: 39:[19, 42] Operation: 11+31=42
Exploring Operation: 19-11=8, Resulting Numbers: [31, 8]
Generated Node #0,3,2: 39:[31, 8] Operation: 19-11=8
Exploring Operation: 31-19=12, Resulting Numbers: [11, 12]
Generated Node #0,3,3: 39:[11, 12] Operation: 31-19=12
Moving to Node #0,0
Current State: 39:[42, 11, 54], Operations: ['73-19=54']
Exploring Operation: 42-11=31, Resulting Numbers: [54, 31]
Generated Node #0,0,0: 39:[54, 31] Operation: 42-11=31
Exploring Operation: 54-11=43, Resulting Numbers: [42, 43]
Generated Node #0,0,1: 39:[42, 43] Operation: 54-11=43
Exploring Operation: 54-42=12, Resulting Numbers: [11, 12]
Generated Node #0,0,2: 39:[11, 12] Operation: 54-42=12
Exploring Operation: 42+11=53, Resulting Numbers: [54, 53]
Generated Node #0,0,3: 39:[54, 53] Operation: 42+11=53
Moving to Node #0,1
Current State: 39:[19, 42, 62], Operations: ['73-11=62']
Exploring Operation: 19+42=61, Resulting Numbers: [62, 61]
Generated Node #0,1,0: 39:[62, 61] Operation: 19+42=61
Exploring Operation: 62-19=43, Resulting Numbers: [42, 43]
Generated Node #0,1,1: 39:[42, 43] Operation: 62-19=43
Exploring Operation: 62-42=20, Resulting Numbers: [19, 20]
Generated Node #0,1,2: 39:[19, 20] Operation: 62-42=20
Exploring Operation: 42-19=23, Resulting Numbers: [62, 23]
Generated Node #0,1,3: 39:[62, 23] Operation: 42-19=23
Moving to Node #0,2
Current State: 39:[73, 42, 8], Operations: ['19-11=8']
Exploring Operation: 42-8=34, Resulting Numbers: [73, 34]
Generated Node #0,2,0: 39:[73, 34] Operation: 42-8=34
Exploring Operation: 73-8=65, Resulting Numbers: [42, 65]
Generated Node #0,2,1: 39:[42, 65] Operation: 73-8=65
Exploring Operation: 73+8=81, Resulting Numbers: [42, 81]
Generated Node #0,2,2: 39:[42, 81] Operation: 73+8=81
Exploring Operation: 73-42=31, Resulting Numbers: [8, 31]
Generated Node #0,2,3: 39:[8, 31] Operation: 73-42=31
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 39:[8, 31], Operations: ['19-11=8', '73-42=31']
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,39 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[73, 19, 42, 11], Operations: []
Exploring Operation: 19-11=8, Resulting Numbers: [73, 42, 8]
Generated Node #0,2: 39:[73, 42, 8] Operation: 19-11=8
Moving to Node #0,2
Current State: 39:[73, 42, 8], Operations: ['19-11=8']
Exploring Operation: 73-42=31, Resulting Numbers: [8, 31]
Generated Node #0,2,3: 39:[8, 31] Operation: 73-42=31
Moving to Node #0,2,3
Current State: 39:[8, 31], Operations: ['19-11=8', '73-42=31']
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_4 | mult_heuristic |
[
20,
37,
7,
53
] | 77 | [
"37-20=17",
"7+53=60",
"17+60=77"
] | Current State: 77:[20, 37, 7, 53], Operations: []
Exploring Operation: 37-20=17, Resulting Numbers: [7, 53, 17]
Generated Node #2: [7, 53, 17] from Operation: 37-20=17
Current State: 77:[7, 53, 17], Operations: ['37-20=17']
Exploring Operation: 7+53=60, Resulting Numbers: [17, 60]
Generated Node #3: [17, 60] from Operation: 7+53=60
Current State: 77:[17, 60], Operations: ['37-20=17', '7+53=60']
Exploring Operation: 17+60=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[20, 37, 7, 53], Operations: []
Exploring Operation: 37-20=17, Resulting Numbers: [7, 53, 17]
Generated Node #0,0: 77:[7, 53, 17] Operation: 37-20=17
Exploring Operation: 37+53=90, Resulting Numbers: [20, 7, 90]
Generated Node #0,1: 77:[20, 7, 90] Operation: 37+53=90
Exploring Operation: 53-37=16, Resulting Numbers: [20, 7, 16]
Generated Node #0,2: 77:[20, 7, 16] Operation: 53-37=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 77:[20, 7, 16], Operations: ['53-37=16']
Exploring Operation: 20-7=13, Resulting Numbers: [16, 13]
Generated Node #0,2,0: 77:[16, 13] Operation: 20-7=13
Exploring Operation: 16-7=9, Resulting Numbers: [20, 9]
Generated Node #0,2,1: 77:[20, 9] Operation: 16-7=9
Exploring Operation: 20-16=4, Resulting Numbers: [7, 4]
Generated Node #0,2,2: 77:[7, 4] Operation: 20-16=4
Moving to Node #0,2,2
Current State: 77:[7, 4], Operations: ['53-37=16', '20-16=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,77 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[16, 13], Operations: ['53-37=16', '20-7=13']
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 16*13=208, Resulting Numbers: [208]
208,77 unequal: No Solution
Exploring Operation: 16+13=29, Resulting Numbers: [29]
29,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[20, 9], Operations: ['53-37=16', '16-7=9']
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,77 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[20, 7, 90], Operations: ['37+53=90']
Exploring Operation: 90-20=70, Resulting Numbers: [7, 70]
Generated Node #0,1,0: 77:[7, 70] Operation: 90-20=70
Exploring Operation: 90-7=83, Resulting Numbers: [20, 83]
Generated Node #0,1,1: 77:[20, 83] Operation: 90-7=83
Exploring Operation: 20-7=13, Resulting Numbers: [90, 13]
Generated Node #0,1,2: 77:[90, 13] Operation: 20-7=13
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 77:[7, 70], Operations: ['37+53=90', '90-20=70']
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,77 unequal: No Solution
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 7+70=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[20, 37, 7, 53], Operations: []
Exploring Operation: 37+53=90, Resulting Numbers: [20, 7, 90]
Generated Node #0,1: 77:[20, 7, 90] Operation: 37+53=90
Moving to Node #0,1
Current State: 77:[20, 7, 90], Operations: ['37+53=90']
Exploring Operation: 90-20=70, Resulting Numbers: [7, 70]
Generated Node #0,1,0: 77:[7, 70] Operation: 90-20=70
Moving to Node #0,1,0
Current State: 77:[7, 70], Operations: ['37+53=90', '90-20=70']
Exploring Operation: 7+70=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_3 | sum_heuristic |
[
18,
30,
55,
6
] | 22 | [
"18-6=12",
"55*12=660",
"660/30=22"
] | Current State: 22:[18, 30, 55, 6], Operations: []
Exploring Operation: 18-6=12, Resulting Numbers: [30, 55, 12]
Generated Node #2: [30, 55, 12] from Operation: 18-6=12
Current State: 22:[30, 55, 12], Operations: ['18-6=12']
Exploring Operation: 55*12=660, Resulting Numbers: [30, 660]
Generated Node #3: [30, 660] from Operation: 55*12=660
Current State: 22:[30, 660], Operations: ['18-6=12', '55*12=660']
Exploring Operation: 660/30=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[18, 30, 55, 6], Operations: []
Exploring Operation: 55-18=37, Resulting Numbers: [30, 6, 37]
Generated Node #0,0: 22:[30, 6, 37] Operation: 55-18=37
Exploring Operation: 55-6=49, Resulting Numbers: [18, 30, 49]
Generated Node #0,1: 22:[18, 30, 49] Operation: 55-6=49
Exploring Operation: 55-30=25, Resulting Numbers: [18, 6, 25]
Generated Node #0,2: 22:[18, 6, 25] Operation: 55-30=25
Exploring Operation: 30-6=24, Resulting Numbers: [18, 55, 24]
Generated Node #0,3: 22:[18, 55, 24] Operation: 30-6=24
Exploring Operation: 30-18=12, Resulting Numbers: [55, 6, 12]
Generated Node #0,4: 22:[55, 6, 12] Operation: 30-18=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 22:[18, 6, 25], Operations: ['55-30=25']
Exploring Operation: 25-6=19, Resulting Numbers: [18, 19]
Generated Node #0,2,0: 22:[18, 19] Operation: 25-6=19
Exploring Operation: 18+6=24, Resulting Numbers: [25, 24]
Generated Node #0,2,1: 22:[25, 24] Operation: 18+6=24
Exploring Operation: 25-18=7, Resulting Numbers: [6, 7]
Generated Node #0,2,2: 22:[6, 7] Operation: 25-18=7
Exploring Operation: 18-6=12, Resulting Numbers: [25, 12]
Generated Node #0,2,3: 22:[25, 12] Operation: 18-6=12
Exploring Operation: 18/6=3, Resulting Numbers: [25, 3]
Generated Node #0,2,4: 22:[25, 3] Operation: 18/6=3
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 22:[25, 12], Operations: ['55-30=25', '18-6=12']
Exploring Operation: 25*12=300, Resulting Numbers: [300]
300,22 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,22 unequal: No Solution
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 22:[25, 3], Operations: ['55-30=25', '18/6=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,22 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[18, 30, 55, 6], Operations: []
Exploring Operation: 55-30=25, Resulting Numbers: [18, 6, 25]
Generated Node #0,2: 22:[18, 6, 25] Operation: 55-30=25
Moving to Node #0,2
Current State: 22:[18, 6, 25], Operations: ['55-30=25']
Exploring Operation: 18/6=3, Resulting Numbers: [25, 3]
Generated Node #0,2,4: 22:[25, 3] Operation: 18/6=3
Moving to Node #0,2,4
Current State: 22:[25, 3], Operations: ['55-30=25', '18/6=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
90,
61,
40,
30
] | 63 | [
"90/30=3",
"61-40=21",
"3*21=63"
] | Current State: 63:[90, 61, 40, 30], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [61, 40, 3]
Generated Node #2: [61, 40, 3] from Operation: 90/30=3
Current State: 63:[61, 40, 3], Operations: ['90/30=3']
Exploring Operation: 61-40=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 61-40=21
Current State: 63:[3, 21], Operations: ['90/30=3', '61-40=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[90, 61, 40, 30], Operations: []
Exploring Operation: 90-30=60, Resulting Numbers: [61, 40, 60]
Generated Node #0,0: 63:[61, 40, 60] Operation: 90-30=60
Exploring Operation: 40-30=10, Resulting Numbers: [90, 61, 10]
Generated Node #0,1: 63:[90, 61, 10] Operation: 40-30=10
Exploring Operation: 90-40=50, Resulting Numbers: [61, 30, 50]
Generated Node #0,2: 63:[61, 30, 50] Operation: 90-40=50
Exploring Operation: 90/30=3, Resulting Numbers: [61, 40, 3]
Generated Node #0,3: 63:[61, 40, 3] Operation: 90/30=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 63:[61, 40, 3], Operations: ['90/30=3']
Exploring Operation: 61-40=21, Resulting Numbers: [3, 21]
Generated Node #0,3,0: 63:[3, 21] Operation: 61-40=21
Exploring Operation: 40-3=37, Resulting Numbers: [61, 37]
Generated Node #0,3,1: 63:[61, 37] Operation: 40-3=37
Exploring Operation: 61+3=64, Resulting Numbers: [40, 64]
Generated Node #0,3,2: 63:[40, 64] Operation: 61+3=64
Exploring Operation: 40+3=43, Resulting Numbers: [61, 43]
Generated Node #0,3,3: 63:[61, 43] Operation: 40+3=43
Moving to Node #0,3,0
Current State: 63:[3, 21], Operations: ['90/30=3', '61-40=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,63 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[90, 61, 40, 30], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [61, 40, 3]
Generated Node #0,3: 63:[61, 40, 3] Operation: 90/30=3
Moving to Node #0,3
Current State: 63:[61, 40, 3], Operations: ['90/30=3']
Exploring Operation: 61-40=21, Resulting Numbers: [3, 21]
Generated Node #0,3,0: 63:[3, 21] Operation: 61-40=21
Moving to Node #0,3,0
Current State: 63:[3, 21], Operations: ['90/30=3', '61-40=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
20,
83,
47,
66
] | 44 | [
"83-20=63",
"66-47=19",
"63-19=44"
] | Current State: 44:[20, 83, 47, 66], Operations: []
Exploring Operation: 83-20=63, Resulting Numbers: [47, 66, 63]
Generated Node #2: [47, 66, 63] from Operation: 83-20=63
Current State: 44:[47, 66, 63], Operations: ['83-20=63']
Exploring Operation: 66-47=19, Resulting Numbers: [63, 19]
Generated Node #3: [63, 19] from Operation: 66-47=19
Current State: 44:[63, 19], Operations: ['83-20=63', '66-47=19']
Exploring Operation: 63-19=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[20, 83, 47, 66], Operations: []
Exploring Operation: 66-20=46, Resulting Numbers: [83, 47, 46]
Generated Node #0,0: 44:[83, 47, 46] Operation: 66-20=46
Exploring Operation: 66-47=19, Resulting Numbers: [20, 83, 19]
Generated Node #0,1: 44:[20, 83, 19] Operation: 66-47=19
Exploring Operation: 83-47=36, Resulting Numbers: [20, 66, 36]
Generated Node #0,2: 44:[20, 66, 36] Operation: 83-47=36
Exploring Operation: 83-20=63, Resulting Numbers: [47, 66, 63]
Generated Node #0,3: 44:[47, 66, 63] Operation: 83-20=63
Exploring Operation: 83-66=17, Resulting Numbers: [20, 47, 17]
Generated Node #0,4: 44:[20, 47, 17] Operation: 83-66=17
Start Sub Search at level 1: Moving to Node #0,4
Current State: 44:[20, 47, 17], Operations: ['83-66=17']
Exploring Operation: 20+17=37, Resulting Numbers: [47, 37]
Generated Node #0,4,0: 44:[47, 37] Operation: 20+17=37
Exploring Operation: 47+17=64, Resulting Numbers: [20, 64]
Generated Node #0,4,1: 44:[20, 64] Operation: 47+17=64
Exploring Operation: 47-20=27, Resulting Numbers: [17, 27]
Generated Node #0,4,2: 44:[17, 27] Operation: 47-20=27
Exploring Operation: 47-17=30, Resulting Numbers: [20, 30]
Generated Node #0,4,3: 44:[20, 30] Operation: 47-17=30
Exploring Operation: 20-17=3, Resulting Numbers: [47, 3]
Generated Node #0,4,4: 44:[47, 3] Operation: 20-17=3
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 44:[47, 3], Operations: ['83-66=17', '20-17=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,44 unequal: No Solution
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,44 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[20, 83, 47, 66], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [20, 47, 17]
Generated Node #0,4: 44:[20, 47, 17] Operation: 83-66=17
Moving to Node #0,4
Current State: 44:[20, 47, 17], Operations: ['83-66=17']
Exploring Operation: 20-17=3, Resulting Numbers: [47, 3]
Generated Node #0,4,4: 44:[47, 3] Operation: 20-17=3
Moving to Node #0,4,4
Current State: 44:[47, 3], Operations: ['83-66=17', '20-17=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
24,
19,
41,
95
] | 22 | [
"24-19=5",
"95/5=19",
"41-19=22"
] | Current State: 22:[24, 19, 41, 95], Operations: []
Exploring Operation: 24-19=5, Resulting Numbers: [41, 95, 5]
Generated Node #2: [41, 95, 5] from Operation: 24-19=5
Current State: 22:[41, 95, 5], Operations: ['24-19=5']
Exploring Operation: 95/5=19, Resulting Numbers: [41, 19]
Generated Node #3: [41, 19] from Operation: 95/5=19
Current State: 22:[41, 19], Operations: ['24-19=5', '95/5=19']
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[24, 19, 41, 95], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [24, 41, 5]
Generated Node #0,0: 22:[24, 41, 5] Operation: 95/19=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[24, 41, 5], Operations: ['95/19=5']
Exploring Operation: 41-24=17, Resulting Numbers: [5, 17]
Generated Node #0,0,0: 22:[5, 17] Operation: 41-24=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[5, 17], Operations: ['95/19=5', '41-24=17']
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[24, 19, 41, 95], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [24, 41, 5]
Generated Node #0,0: 22:[24, 41, 5] Operation: 95/19=5
Moving to Node #0,0
Current State: 22:[24, 41, 5], Operations: ['95/19=5']
Exploring Operation: 41-24=17, Resulting Numbers: [5, 17]
Generated Node #0,0,0: 22:[5, 17] Operation: 41-24=17
Moving to Node #0,0,0
Current State: 22:[5, 17], Operations: ['95/19=5', '41-24=17']
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
70,
53,
57,
44
] | 81 | [
"57-53=4",
"44/4=11",
"70+11=81"
] | Current State: 81:[70, 53, 57, 44], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [70, 44, 4]
Generated Node #2: [70, 44, 4] from Operation: 57-53=4
Current State: 81:[70, 44, 4], Operations: ['57-53=4']
Exploring Operation: 44/4=11, Resulting Numbers: [70, 11]
Generated Node #3: [70, 11] from Operation: 44/4=11
Current State: 81:[70, 11], Operations: ['57-53=4', '44/4=11']
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[70, 53, 57, 44], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [70, 44, 4]
Generated Node #0,0: 81:[70, 44, 4] Operation: 57-53=4
Exploring Operation: 53-44=9, Resulting Numbers: [70, 57, 9]
Generated Node #0,1: 81:[70, 57, 9] Operation: 53-44=9
Exploring Operation: 57-44=13, Resulting Numbers: [70, 53, 13]
Generated Node #0,2: 81:[70, 53, 13] Operation: 57-44=13
Moving to Node #0,0
Current State: 81:[70, 44, 4], Operations: ['57-53=4']
Exploring Operation: 70-44=26, Resulting Numbers: [4, 26]
Generated Node #0,0,0: 81:[4, 26] Operation: 70-44=26
Exploring Operation: 44/4=11, Resulting Numbers: [70, 11]
Generated Node #0,0,1: 81:[70, 11] Operation: 44/4=11
Exploring Operation: 70+4=74, Resulting Numbers: [44, 74]
Generated Node #0,0,2: 81:[44, 74] Operation: 70+4=74
Moving to Node #0,1
Current State: 81:[70, 57, 9], Operations: ['53-44=9']
Exploring Operation: 70-57=13, Resulting Numbers: [9, 13]
Generated Node #0,1,0: 81:[9, 13] Operation: 70-57=13
Exploring Operation: 57+9=66, Resulting Numbers: [70, 66]
Generated Node #0,1,1: 81:[70, 66] Operation: 57+9=66
Exploring Operation: 70+9=79, Resulting Numbers: [57, 79]
Generated Node #0,1,2: 81:[57, 79] Operation: 70+9=79
Moving to Node #0,2
Current State: 81:[70, 53, 13], Operations: ['57-44=13']
Exploring Operation: 53-13=40, Resulting Numbers: [70, 40]
Generated Node #0,2,0: 81:[70, 40] Operation: 53-13=40
Exploring Operation: 70-53=17, Resulting Numbers: [13, 17]
Generated Node #0,2,1: 81:[13, 17] Operation: 70-53=17
Exploring Operation: 53+13=66, Resulting Numbers: [70, 66]
Generated Node #0,2,2: 81:[70, 66] Operation: 53+13=66
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 81:[13, 17], Operations: ['57-44=13', '70-53=17']
Exploring Operation: 13*17=221, Resulting Numbers: [221]
221,81 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 81:[70, 40], Operations: ['57-44=13', '53-13=40']
Exploring Operation: 70*40=2800, Resulting Numbers: [2800]
2800,81 unequal: No Solution
Exploring Operation: 70+40=110, Resulting Numbers: [110]
110,81 unequal: No Solution
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 81:[70, 66], Operations: ['57-44=13', '53+13=66']
Exploring Operation: 70*66=4620, Resulting Numbers: [4620]
4620,81 unequal: No Solution
Exploring Operation: 70-66=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Exploring Operation: 70+66=136, Resulting Numbers: [136]
136,81 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: 81:[4, 26], Operations: ['57-53=4', '70-44=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,81 unequal: No Solution
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[9, 13], Operations: ['53-44=9', '70-57=13']
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,81 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Exploring Operation: 9*13=117, Resulting Numbers: [117]
117,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[70, 11], Operations: ['57-53=4', '44/4=11']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,81 unequal: No Solution
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[70, 53, 57, 44], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [70, 44, 4]
Generated Node #0,0: 81:[70, 44, 4] Operation: 57-53=4
Moving to Node #0,0
Current State: 81:[70, 44, 4], Operations: ['57-53=4']
Exploring Operation: 44/4=11, Resulting Numbers: [70, 11]
Generated Node #0,0,1: 81:[70, 11] Operation: 44/4=11
Moving to Node #0,0,1
Current State: 81:[70, 11], Operations: ['57-53=4', '44/4=11']
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.971354 | hs_3 | mult_heuristic |
[
90,
29,
29,
76
] | 90 | [
"29-29=0",
"76*0=0",
"90+0=90"
] | Current State: 90:[90, 29, 29, 76], Operations: []
Exploring Operation: 29-29=0, Resulting Numbers: [90, 76, 0]
Generated Node #2: [90, 76, 0] from Operation: 29-29=0
Current State: 90:[90, 76, 0], Operations: ['29-29=0']
Exploring Operation: 76*0=0, Resulting Numbers: [90, 0]
Generated Node #3: [90, 0] from Operation: 76*0=0
Current State: 90:[90, 0], Operations: ['29-29=0', '76*0=0']
Exploring Operation: 90+0=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[90, 29, 29, 76], Operations: []
Exploring Operation: 29/29=1, Resulting Numbers: [90, 76, 1]
Generated Node #0,0: 90:[90, 76, 1] Operation: 29/29=1
Exploring Operation: 76-29=47, Resulting Numbers: [90, 29, 47]
Generated Node #0,1: 90:[90, 29, 47] Operation: 76-29=47
Exploring Operation: 90-76=14, Resulting Numbers: [29, 29, 14]
Generated Node #0,2: 90:[29, 29, 14] Operation: 90-76=14
Exploring Operation: 76-29=47, Resulting Numbers: [90, 29, 47]
Generated Node #0,3: 90:[90, 29, 47] Operation: 76-29=47
Exploring Operation: 29-29=0, Resulting Numbers: [90, 76, 0]
Generated Node #0,4: 90:[90, 76, 0] Operation: 29-29=0
Moving to Node #0,1
Current State: 90:[90, 29, 47], Operations: ['76-29=47']
Exploring Operation: 90+29=119, Resulting Numbers: [47, 119]
Generated Node #0,1,0: 90:[47, 119] Operation: 90+29=119
Exploring Operation: 29+47=76, Resulting Numbers: [90, 76]
Generated Node #0,1,1: 90:[90, 76] Operation: 29+47=76
Exploring Operation: 90-47=43, Resulting Numbers: [29, 43]
Generated Node #0,1,2: 90:[29, 43] Operation: 90-47=43
Exploring Operation: 47-29=18, Resulting Numbers: [90, 18]
Generated Node #0,1,3: 90:[90, 18] Operation: 47-29=18
Exploring Operation: 90-29=61, Resulting Numbers: [47, 61]
Generated Node #0,1,4: 90:[47, 61] Operation: 90-29=61
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 90:[90, 18], Operations: ['76-29=47', '47-29=18']
Exploring Operation: 90+18=108, Resulting Numbers: [108]
108,90 unequal: No Solution
Exploring Operation: 90/18=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 90*18=1620, Resulting Numbers: [1620]
1620,90 unequal: No Solution
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 90:[29, 43], Operations: ['76-29=47', '90-47=43']
Exploring Operation: 29*43=1247, Resulting Numbers: [1247]
1247,90 unequal: No Solution
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,90 unequal: No Solution
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[90, 76], Operations: ['76-29=47', '29+47=76']
Exploring Operation: 90-76=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 90*76=6840, Resulting Numbers: [6840]
6840,90 unequal: No Solution
Exploring Operation: 90+76=166, Resulting Numbers: [166]
166,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 90:[47, 61], Operations: ['76-29=47', '90-29=61']
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,90 unequal: No Solution
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,90 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[47, 119], Operations: ['76-29=47', '90+29=119']
Exploring Operation: 119-47=72, Resulting Numbers: [72]
72,90 unequal: No Solution
Exploring Operation: 47*119=5593, Resulting Numbers: [5593]
5593,90 unequal: No Solution
Exploring Operation: 47+119=166, Resulting Numbers: [166]
166,90 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: 90:[90, 29, 47], Operations: ['76-29=47']
Exploring Operation: 90+29=119, Resulting Numbers: [47, 119]
Generated Node #0,3,0: 90:[47, 119] Operation: 90+29=119
Exploring Operation: 29+47=76, Resulting Numbers: [90, 76]
Generated Node #0,3,1: 90:[90, 76] Operation: 29+47=76
Exploring Operation: 47-29=18, Resulting Numbers: [90, 18]
Generated Node #0,3,2: 90:[90, 18] Operation: 47-29=18
Exploring Operation: 90-29=61, Resulting Numbers: [47, 61]
Generated Node #0,3,3: 90:[47, 61] Operation: 90-29=61
Exploring Operation: 90-47=43, Resulting Numbers: [29, 43]
Generated Node #0,3,4: 90:[29, 43] Operation: 90-47=43
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 90:[90, 18], Operations: ['76-29=47', '47-29=18']
Exploring Operation: 90+18=108, Resulting Numbers: [108]
108,90 unequal: No Solution
Exploring Operation: 90/18=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,90 unequal: No Solution
Exploring Operation: 90*18=1620, Resulting Numbers: [1620]
1620,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 90:[29, 43], Operations: ['76-29=47', '90-47=43']
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,90 unequal: No Solution
Exploring Operation: 29*43=1247, Resulting Numbers: [1247]
1247,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 90:[90, 76], Operations: ['76-29=47', '29+47=76']
Exploring Operation: 90+76=166, Resulting Numbers: [166]
166,90 unequal: No Solution
Exploring Operation: 90-76=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 90*76=6840, Resulting Numbers: [6840]
6840,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 90:[47, 61], Operations: ['76-29=47', '90-29=61']
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,90 unequal: No Solution
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,90 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 90:[47, 119], Operations: ['76-29=47', '90+29=119']
Exploring Operation: 119-47=72, Resulting Numbers: [72]
72,90 unequal: No Solution
Exploring Operation: 47*119=5593, Resulting Numbers: [5593]
5593,90 unequal: No Solution
Exploring Operation: 47+119=166, Resulting Numbers: [166]
166,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 90:[29, 29, 14], Operations: ['90-76=14']
Exploring Operation: 29+14=43, Resulting Numbers: [29, 43]
Generated Node #0,2,0: 90:[29, 43] Operation: 29+14=43
Exploring Operation: 29-14=15, Resulting Numbers: [29, 15]
Generated Node #0,2,1: 90:[29, 15] Operation: 29-14=15
Exploring Operation: 29-14=15, Resulting Numbers: [29, 15]
Generated Node #0,2,2: 90:[29, 15] Operation: 29-14=15
Exploring Operation: 29-29=0, Resulting Numbers: [14, 0]
Generated Node #0,2,3: 90:[14, 0] Operation: 29-29=0
Exploring Operation: 29/29=1, Resulting Numbers: [14, 1]
Generated Node #0,2,4: 90:[14, 1] Operation: 29/29=1
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 90:[29, 15], Operations: ['90-76=14', '29-14=15']
Exploring Operation: 29+15=44, Resulting Numbers: [44]
44,90 unequal: No Solution
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 29*15=435, Resulting Numbers: [435]
435,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 90:[29, 15], Operations: ['90-76=14', '29-14=15']
Exploring Operation: 29*15=435, Resulting Numbers: [435]
435,90 unequal: No Solution
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 29+15=44, Resulting Numbers: [44]
44,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 90:[14, 1], Operations: ['90-76=14', '29/29=1']
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 90:[29, 43], Operations: ['90-76=14', '29+14=43']
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 29*43=1247, Resulting Numbers: [1247]
1247,90 unequal: No Solution
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 90:[14, 0], Operations: ['90-76=14', '29-29=0']
Exploring Operation: 14*0=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Exploring Operation: 14+0=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 14-0=14, Resulting Numbers: [14]
14,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 90:[90, 76, 1], Operations: ['29/29=1']
Exploring Operation: 90-76=14, Resulting Numbers: [1, 14]
Generated Node #0,0,0: 90:[1, 14] Operation: 90-76=14
Exploring Operation: 90*1=90, Resulting Numbers: [76, 90]
Generated Node #0,0,1: 90:[76, 90] Operation: 90*1=90
Exploring Operation: 76*1=76, Resulting Numbers: [90, 76]
Generated Node #0,0,2: 90:[90, 76] Operation: 76*1=76
Exploring Operation: 76+1=77, Resulting Numbers: [90, 77]
Generated Node #0,0,3: 90:[90, 77] Operation: 76+1=77
Exploring Operation: 90/1=90, Resulting Numbers: [76, 90]
Generated Node #0,0,4: 90:[76, 90] Operation: 90/1=90
Moving to Node #0,4
Current State: 90:[90, 76, 0], Operations: ['29-29=0']
Exploring Operation: 90-0=90, Resulting Numbers: [76, 90]
Generated Node #0,4,0: 90:[76, 90] Operation: 90-0=90
Exploring Operation: 90-76=14, Resulting Numbers: [0, 14]
Generated Node #0,4,1: 90:[0, 14] Operation: 90-76=14
Exploring Operation: 76+0=76, Resulting Numbers: [90, 76]
Generated Node #0,4,2: 90:[90, 76] Operation: 76+0=76
Exploring Operation: 76*0=0, Resulting Numbers: [90, 0]
Generated Node #0,4,3: 90:[90, 0] Operation: 76*0=0
Exploring Operation: 90+0=90, Resulting Numbers: [76, 90]
Generated Node #0,4,4: 90:[76, 90] Operation: 90+0=90
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 90:[90, 0], Operations: ['29-29=0', '76*0=0']
Exploring Operation: 90-0=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[90, 29, 29, 76], Operations: []
Exploring Operation: 29-29=0, Resulting Numbers: [90, 76, 0]
Generated Node #0,4: 90:[90, 76, 0] Operation: 29-29=0
Moving to Node #0,4
Current State: 90:[90, 76, 0], Operations: ['29-29=0']
Exploring Operation: 76*0=0, Resulting Numbers: [90, 0]
Generated Node #0,4,3: 90:[90, 0] Operation: 76*0=0
Moving to Node #0,4,3
Current State: 90:[90, 0], Operations: ['29-29=0', '76*0=0']
Exploring Operation: 90-0=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.927951 | hs_5 | mult_heuristic |
[
97,
49,
66,
71
] | 100 | [
"71-49=22",
"66/22=3",
"97+3=100"
] | Current State: 100:[97, 49, 66, 71], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [97, 66, 22]
Generated Node #2: [97, 66, 22] from Operation: 71-49=22
Current State: 100:[97, 66, 22], Operations: ['71-49=22']
Exploring Operation: 66/22=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 66/22=3
Current State: 100:[97, 3], Operations: ['71-49=22', '66/22=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[97, 49, 66, 71], Operations: []
Exploring Operation: 97-71=26, Resulting Numbers: [49, 66, 26]
Generated Node #0,0: 100:[49, 66, 26] Operation: 97-71=26
Exploring Operation: 71-49=22, Resulting Numbers: [97, 66, 22]
Generated Node #0,1: 100:[97, 66, 22] Operation: 71-49=22
Exploring Operation: 97-66=31, Resulting Numbers: [49, 71, 31]
Generated Node #0,2: 100:[49, 71, 31] Operation: 97-66=31
Exploring Operation: 71-66=5, Resulting Numbers: [97, 49, 5]
Generated Node #0,3: 100:[97, 49, 5] Operation: 71-66=5
Exploring Operation: 66-49=17, Resulting Numbers: [97, 71, 17]
Generated Node #0,4: 100:[97, 71, 17] Operation: 66-49=17
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[97, 49, 5], Operations: ['71-66=5']
Exploring Operation: 97-5=92, Resulting Numbers: [49, 92]
Generated Node #0,3,0: 100:[49, 92] Operation: 97-5=92
Exploring Operation: 49+5=54, Resulting Numbers: [97, 54]
Generated Node #0,3,1: 100:[97, 54] Operation: 49+5=54
Exploring Operation: 97+5=102, Resulting Numbers: [49, 102]
Generated Node #0,3,2: 100:[49, 102] Operation: 97+5=102
Exploring Operation: 49-5=44, Resulting Numbers: [97, 44]
Generated Node #0,3,3: 100:[97, 44] Operation: 49-5=44
Exploring Operation: 97-49=48, Resulting Numbers: [5, 48]
Generated Node #0,3,4: 100:[5, 48] Operation: 97-49=48
Moving to Node #0,3,4
Current State: 100:[5, 48], Operations: ['71-66=5', '97-49=48']
Exploring Operation: 5*48=240, Resulting Numbers: [240]
240,100 unequal: No Solution
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 5+48=53, Resulting Numbers: [53]
53,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[49, 102], Operations: ['71-66=5', '97+5=102']
Exploring Operation: 49+102=151, Resulting Numbers: [151]
151,100 unequal: No Solution
Exploring Operation: 102-49=53, Resulting Numbers: [53]
53,100 unequal: No Solution
Exploring Operation: 49*102=4998, Resulting Numbers: [4998]
4998,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[97, 54], Operations: ['71-66=5', '49+5=54']
Exploring Operation: 97+54=151, Resulting Numbers: [151]
151,100 unequal: No Solution
Exploring Operation: 97*54=5238, Resulting Numbers: [5238]
5238,100 unequal: No Solution
Exploring Operation: 97-54=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Moving to Node #0,3,0
Current State: 100:[49, 92], Operations: ['71-66=5', '97-5=92']
Exploring Operation: 49+92=141, Resulting Numbers: [141]
141,100 unequal: No Solution
Exploring Operation: 49*92=4508, Resulting Numbers: [4508]
4508,100 unequal: No Solution
Exploring Operation: 92-49=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Moving to Node #0,3,3
Current State: 100:[97, 44], Operations: ['71-66=5', '49-5=44']
Exploring Operation: 97*44=4268, Resulting Numbers: [4268]
4268,100 unequal: No Solution
Exploring Operation: 97+44=141, Resulting Numbers: [141]
141,100 unequal: No Solution
Exploring Operation: 97-44=53, Resulting Numbers: [53]
53,100 unequal: No Solution
No 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: 100:[49, 66, 26], Operations: ['97-71=26']
Exploring Operation: 66+26=92, Resulting Numbers: [49, 92]
Generated Node #0,0,0: 100:[49, 92] Operation: 66+26=92
Exploring Operation: 66-49=17, Resulting Numbers: [26, 17]
Generated Node #0,0,1: 100:[26, 17] Operation: 66-49=17
Exploring Operation: 49-26=23, Resulting Numbers: [66, 23]
Generated Node #0,0,2: 100:[66, 23] Operation: 49-26=23
Exploring Operation: 66-26=40, Resulting Numbers: [49, 40]
Generated Node #0,0,3: 100:[49, 40] Operation: 66-26=40
Exploring Operation: 49+66=115, Resulting Numbers: [26, 115]
Generated Node #0,0,4: 100:[26, 115] Operation: 49+66=115
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[26, 17], Operations: ['97-71=26', '66-49=17']
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,100 unequal: No Solution
No 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: 100:[49, 92], Operations: ['97-71=26', '66+26=92']
Exploring Operation: 49*92=4508, Resulting Numbers: [4508]
4508,100 unequal: No Solution
Exploring Operation: 92-49=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 49+92=141, Resulting Numbers: [141]
141,100 unequal: No Solution
No 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: 100:[49, 40], Operations: ['97-71=26', '66-26=40']
Exploring Operation: 49-40=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 49*40=1960, Resulting Numbers: [1960]
1960,100 unequal: No Solution
Exploring Operation: 49+40=89, Resulting Numbers: [89]
89,100 unequal: No Solution
No 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: 100:[26, 115], Operations: ['97-71=26', '49+66=115']
Exploring Operation: 26+115=141, Resulting Numbers: [141]
141,100 unequal: No Solution
Exploring Operation: 26*115=2990, Resulting Numbers: [2990]
2990,100 unequal: No Solution
Exploring Operation: 115-26=89, Resulting Numbers: [89]
89,100 unequal: No Solution
No 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: 100:[66, 23], Operations: ['97-71=26', '49-26=23']
Exploring Operation: 66*23=1518, Resulting Numbers: [1518]
1518,100 unequal: No Solution
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,100 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: 100:[97, 66, 22], Operations: ['71-49=22']
Exploring Operation: 97+22=119, Resulting Numbers: [66, 119]
Generated Node #0,1,0: 100:[66, 119] Operation: 97+22=119
Exploring Operation: 97-66=31, Resulting Numbers: [22, 31]
Generated Node #0,1,1: 100:[22, 31] Operation: 97-66=31
Exploring Operation: 66/22=3, Resulting Numbers: [97, 3]
Generated Node #0,1,2: 100:[97, 3] Operation: 66/22=3
Exploring Operation: 66+22=88, Resulting Numbers: [97, 88]
Generated Node #0,1,3: 100:[97, 88] Operation: 66+22=88
Exploring Operation: 66-22=44, Resulting Numbers: [97, 44]
Generated Node #0,1,4: 100:[97, 44] Operation: 66-22=44
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 100:[97, 3], Operations: ['71-49=22', '66/22=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,100 unequal: No Solution
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[97, 49, 66, 71], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [97, 66, 22]
Generated Node #0,1: 100:[97, 66, 22] Operation: 71-49=22
Moving to Node #0,1
Current State: 100:[97, 66, 22], Operations: ['71-49=22']
Exploring Operation: 66/22=3, Resulting Numbers: [97, 3]
Generated Node #0,1,2: 100:[97, 3] Operation: 66/22=3
Moving to Node #0,1,2
Current State: 100:[97, 3], Operations: ['71-49=22', '66/22=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.951389 | hs_5 | sum_heuristic |
[
68,
46,
51,
31
] | 87 | [
"51-46=5",
"31*5=155",
"155-68=87"
] | Current State: 87:[68, 46, 51, 31], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [68, 31, 5]
Generated Node #2: [68, 31, 5] from Operation: 51-46=5
Current State: 87:[68, 31, 5], Operations: ['51-46=5']
Exploring Operation: 31*5=155, Resulting Numbers: [68, 155]
Generated Node #3: [68, 155] from Operation: 31*5=155
Current State: 87:[68, 155], Operations: ['51-46=5', '31*5=155']
Exploring Operation: 155-68=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[68, 46, 51, 31], Operations: []
Exploring Operation: 68-46=22, Resulting Numbers: [51, 31, 22]
Generated Node #0,0: 87:[51, 31, 22] Operation: 68-46=22
Exploring Operation: 51-46=5, Resulting Numbers: [68, 31, 5]
Generated Node #0,1: 87:[68, 31, 5] Operation: 51-46=5
Moving to Node #0,1
Current State: 87:[68, 31, 5], Operations: ['51-46=5']
Exploring Operation: 68-31=37, Resulting Numbers: [5, 37]
Generated Node #0,1,0: 87:[5, 37] Operation: 68-31=37
Exploring Operation: 68+31=99, Resulting Numbers: [5, 99]
Generated Node #0,1,1: 87:[5, 99] Operation: 68+31=99
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[5, 37], Operations: ['51-46=5', '68-31=37']
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[5, 99], Operations: ['51-46=5', '68+31=99']
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,87 unequal: No Solution
Exploring Operation: 5+99=104, Resulting Numbers: [104]
104,87 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: 87:[51, 31, 22], Operations: ['68-46=22']
Exploring Operation: 51+31=82, Resulting Numbers: [22, 82]
Generated Node #0,0,0: 87:[22, 82] Operation: 51+31=82
Exploring Operation: 51-22=29, Resulting Numbers: [31, 29]
Generated Node #0,0,1: 87:[31, 29] Operation: 51-22=29
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 87:[31, 29], Operations: ['68-46=22', '51-22=29']
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 31+29=60, Resulting Numbers: [60]
60,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[22, 82], Operations: ['68-46=22', '51+31=82']
Exploring Operation: 82-22=60, Resulting Numbers: [60]
60,87 unequal: No Solution
Exploring Operation: 22+82=104, Resulting Numbers: [104]
104,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
11,
54,
43,
53
] | 75 | [
"11+54=65",
"53-43=10",
"65+10=75"
] | Current State: 75:[11, 54, 43, 53], Operations: []
Exploring Operation: 11+54=65, Resulting Numbers: [43, 53, 65]
Generated Node #2: [43, 53, 65] from Operation: 11+54=65
Current State: 75:[43, 53, 65], Operations: ['11+54=65']
Exploring Operation: 53-43=10, Resulting Numbers: [65, 10]
Generated Node #3: [65, 10] from Operation: 53-43=10
Current State: 75:[65, 10], Operations: ['11+54=65', '53-43=10']
Exploring Operation: 65+10=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[11, 54, 43, 53], Operations: []
Exploring Operation: 43+53=96, Resulting Numbers: [11, 54, 96]
Generated Node #0,0: 75:[11, 54, 96] Operation: 43+53=96
Exploring Operation: 54-53=1, Resulting Numbers: [11, 43, 1]
Generated Node #0,1: 75:[11, 43, 1] Operation: 54-53=1
Exploring Operation: 53-43=10, Resulting Numbers: [11, 54, 10]
Generated Node #0,2: 75:[11, 54, 10] Operation: 53-43=10
Exploring Operation: 54-43=11, Resulting Numbers: [11, 53, 11]
Generated Node #0,3: 75:[11, 53, 11] Operation: 54-43=11
Moving to Node #0,1
Current State: 75:[11, 43, 1], Operations: ['54-53=1']
Exploring Operation: 11*1=11, Resulting Numbers: [43, 11]
Generated Node #0,1,0: 75:[43, 11] Operation: 11*1=11
Exploring Operation: 11+1=12, Resulting Numbers: [43, 12]
Generated Node #0,1,1: 75:[43, 12] Operation: 11+1=12
Exploring Operation: 43-1=42, Resulting Numbers: [11, 42]
Generated Node #0,1,2: 75:[11, 42] Operation: 43-1=42
Exploring Operation: 43-11=32, Resulting Numbers: [1, 32]
Generated Node #0,1,3: 75:[1, 32] Operation: 43-11=32
Moving to Node #0,3
Current State: 75:[11, 53, 11], Operations: ['54-43=11']
Exploring Operation: 53+11=64, Resulting Numbers: [11, 64]
Generated Node #0,3,0: 75:[11, 64] Operation: 53+11=64
Exploring Operation: 11+53=64, Resulting Numbers: [11, 64]
Generated Node #0,3,1: 75:[11, 64] Operation: 11+53=64
Exploring Operation: 53-11=42, Resulting Numbers: [11, 42]
Generated Node #0,3,2: 75:[11, 42] Operation: 53-11=42
Exploring Operation: 53-11=42, Resulting Numbers: [11, 42]
Generated Node #0,3,3: 75:[11, 42] Operation: 53-11=42
Moving to Node #0,2
Current State: 75:[11, 54, 10], Operations: ['53-43=10']
Exploring Operation: 11+54=65, Resulting Numbers: [10, 65]
Generated Node #0,2,0: 75:[10, 65] Operation: 11+54=65
Exploring Operation: 11-10=1, Resulting Numbers: [54, 1]
Generated Node #0,2,1: 75:[54, 1] Operation: 11-10=1
Exploring Operation: 54-11=43, Resulting Numbers: [10, 43]
Generated Node #0,2,2: 75:[10, 43] Operation: 54-11=43
Exploring Operation: 54+10=64, Resulting Numbers: [11, 64]
Generated Node #0,2,3: 75:[11, 64] Operation: 54+10=64
Moving to Node #0,0
Current State: 75:[11, 54, 96], Operations: ['43+53=96']
Exploring Operation: 54-11=43, Resulting Numbers: [96, 43]
Generated Node #0,0,0: 75:[96, 43] Operation: 54-11=43
Exploring Operation: 96-54=42, Resulting Numbers: [11, 42]
Generated Node #0,0,1: 75:[11, 42] Operation: 96-54=42
Exploring Operation: 96-11=85, Resulting Numbers: [54, 85]
Generated Node #0,0,2: 75:[54, 85] Operation: 96-11=85
Exploring Operation: 11+54=65, Resulting Numbers: [96, 65]
Generated Node #0,0,3: 75:[96, 65] Operation: 11+54=65
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[11, 42], Operations: ['43+53=96', '96-54=42']
Exploring Operation: 11*42=462, Resulting Numbers: [462]
462,75 unequal: No Solution
Exploring Operation: 11+42=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,75 unequal: No Solution
No 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: 75:[54, 85], Operations: ['43+53=96', '96-11=85']
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 54+85=139, Resulting Numbers: [139]
139,75 unequal: No Solution
Exploring Operation: 54*85=4590, Resulting Numbers: [4590]
4590,75 unequal: No Solution
No 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: 75:[96, 65], Operations: ['43+53=96', '11+54=65']
Exploring Operation: 96*65=6240, Resulting Numbers: [6240]
6240,75 unequal: No Solution
Exploring Operation: 96-65=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 96+65=161, Resulting Numbers: [161]
161,75 unequal: No Solution
No 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: 75:[96, 43], Operations: ['43+53=96', '54-11=43']
Exploring Operation: 96*43=4128, Resulting Numbers: [4128]
4128,75 unequal: No Solution
Exploring Operation: 96+43=139, Resulting Numbers: [139]
139,75 unequal: No Solution
Exploring Operation: 96-43=53, Resulting Numbers: [53]
53,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 75:[1, 32], Operations: ['54-53=1', '43-11=32']
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,75 unequal: No Solution
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,75 unequal: No Solution
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 1*32=32, Resulting Numbers: [32]
32,75 unequal: No Solution
Moving to Node #0,3,1
Current State: 75:[11, 64], Operations: ['54-43=11', '11+53=64']
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Exploring Operation: 11*64=704, Resulting Numbers: [704]
704,75 unequal: No Solution
Exploring Operation: 11+64=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[11, 54, 43, 53], Operations: []
Exploring Operation: 54-43=11, Resulting Numbers: [11, 53, 11]
Generated Node #0,3: 75:[11, 53, 11] Operation: 54-43=11
Moving to Node #0,3
Current State: 75:[11, 53, 11], Operations: ['54-43=11']
Exploring Operation: 11+53=64, Resulting Numbers: [11, 64]
Generated Node #0,3,1: 75:[11, 64] Operation: 11+53=64
Moving to Node #0,3,1
Current State: 75:[11, 64], Operations: ['54-43=11', '11+53=64']
Exploring Operation: 11+64=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.962674 | hs_4 | sum_heuristic |
[
33,
16,
94,
49
] | 94 | [
"33+16=49",
"94+49=143",
"143-49=94"
] | Current State: 94:[33, 16, 94, 49], Operations: []
Exploring Operation: 33+16=49, Resulting Numbers: [94, 49, 49]
Generated Node #2: [94, 49, 49] from Operation: 33+16=49
Current State: 94:[94, 49, 49], Operations: ['33+16=49']
Exploring Operation: 94+49=143, Resulting Numbers: [143]
143,94 equal: Goal Reached
Exploring Operation: 143-49=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[33, 16, 94, 49], Operations: []
Exploring Operation: 33+16=49, Resulting Numbers: [94, 49, 49]
Generated Node #0,0: 94:[94, 49, 49] Operation: 33+16=49
Exploring Operation: 33-16=17, Resulting Numbers: [94, 49, 17]
Generated Node #0,1: 94:[94, 49, 17] Operation: 33-16=17
Exploring Operation: 33+49=82, Resulting Numbers: [16, 94, 82]
Generated Node #0,2: 94:[16, 94, 82] Operation: 33+49=82
Exploring Operation: 49-33=16, Resulting Numbers: [16, 94, 16]
Generated Node #0,3: 94:[16, 94, 16] Operation: 49-33=16
Moving to Node #0,0
Current State: 94:[94, 49, 49], Operations: ['33+16=49']
Exploring Operation: 94-49=45, Resulting Numbers: [49, 45]
Generated Node #0,0,0: 94:[49, 45] Operation: 94-49=45
Exploring Operation: 49-49=0, Resulting Numbers: [94, 0]
Generated Node #0,0,1: 94:[94, 0] Operation: 49-49=0
Exploring Operation: 49/49=1, Resulting Numbers: [94, 1]
Generated Node #0,0,2: 94:[94, 1] Operation: 49/49=1
Exploring Operation: 94-49=45, Resulting Numbers: [49, 45]
Generated Node #0,0,3: 94:[49, 45] Operation: 94-49=45
Moving to Node #0,1
Current State: 94:[94, 49, 17], Operations: ['33-16=17']
Exploring Operation: 94+17=111, Resulting Numbers: [49, 111]
Generated Node #0,1,0: 94:[49, 111] Operation: 94+17=111
Exploring Operation: 94-49=45, Resulting Numbers: [17, 45]
Generated Node #0,1,1: 94:[17, 45] Operation: 94-49=45
Exploring Operation: 49-17=32, Resulting Numbers: [94, 32]
Generated Node #0,1,2: 94:[94, 32] Operation: 49-17=32
Exploring Operation: 94-17=77, Resulting Numbers: [49, 77]
Generated Node #0,1,3: 94:[49, 77] Operation: 94-17=77
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 94:[94, 32], Operations: ['33-16=17', '49-17=32']
Exploring Operation: 94+32=126, Resulting Numbers: [126]
126,94 unequal: No Solution
Exploring Operation: 94*32=3008, Resulting Numbers: [3008]
3008,94 unequal: No Solution
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[17, 45], Operations: ['33-16=17', '94-49=45']
Exploring Operation: 17+45=62, Resulting Numbers: [62]
62,94 unequal: No Solution
Exploring Operation: 17*45=765, Resulting Numbers: [765]
765,94 unequal: No Solution
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[49, 111], Operations: ['33-16=17', '94+17=111']
Exploring Operation: 111-49=62, Resulting Numbers: [62]
62,94 unequal: No Solution
Exploring Operation: 49+111=160, Resulting Numbers: [160]
160,94 unequal: No Solution
Exploring Operation: 49*111=5439, Resulting Numbers: [5439]
5439,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 94:[49, 77], Operations: ['33-16=17', '94-17=77']
Exploring Operation: 49+77=126, Resulting Numbers: [126]
126,94 unequal: No Solution
Exploring Operation: 49*77=3773, Resulting Numbers: [3773]
3773,94 unequal: No Solution
Exploring Operation: 77-49=28, Resulting Numbers: [28]
28,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 94:[16, 94, 82], Operations: ['33+49=82']
Exploring Operation: 16+82=98, Resulting Numbers: [94, 98]
Generated Node #0,2,0: 94:[94, 98] Operation: 16+82=98
Exploring Operation: 16+94=110, Resulting Numbers: [82, 110]
Generated Node #0,2,1: 94:[82, 110] Operation: 16+94=110
Exploring Operation: 94-82=12, Resulting Numbers: [16, 12]
Generated Node #0,2,2: 94:[16, 12] Operation: 94-82=12
Exploring Operation: 82-16=66, Resulting Numbers: [94, 66]
Generated Node #0,2,3: 94:[94, 66] Operation: 82-16=66
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 94:[94, 98], Operations: ['33+49=82', '16+82=98']
Exploring Operation: 94+98=192, Resulting Numbers: [192]
192,94 unequal: No Solution
Exploring Operation: 98-94=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Exploring Operation: 94*98=9212, Resulting Numbers: [9212]
9212,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 94:[94, 66], Operations: ['33+49=82', '82-16=66']
Exploring Operation: 94+66=160, Resulting Numbers: [160]
160,94 unequal: No Solution
Exploring Operation: 94*66=6204, Resulting Numbers: [6204]
6204,94 unequal: No Solution
Exploring Operation: 94-66=28, Resulting Numbers: [28]
28,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 94:[16, 12], Operations: ['33+49=82', '94-82=12']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,94 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 94:[82, 110], Operations: ['33+49=82', '16+94=110']
Exploring Operation: 82*110=9020, Resulting Numbers: [9020]
9020,94 unequal: No Solution
Exploring Operation: 110-82=28, Resulting Numbers: [28]
28,94 unequal: No Solution
Exploring Operation: 82+110=192, Resulting Numbers: [192]
192,94 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: 94:[16, 94, 16], Operations: ['49-33=16']
Exploring Operation: 16+16=32, Resulting Numbers: [94, 32]
Generated Node #0,3,0: 94:[94, 32] Operation: 16+16=32
Exploring Operation: 16+94=110, Resulting Numbers: [16, 110]
Generated Node #0,3,1: 94:[16, 110] Operation: 16+94=110
Exploring Operation: 16/16=1, Resulting Numbers: [94, 1]
Generated Node #0,3,2: 94:[94, 1] Operation: 16/16=1
Exploring Operation: 16-16=0, Resulting Numbers: [94, 0]
Generated Node #0,3,3: 94:[94, 0] Operation: 16-16=0
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 94:[94, 1], Operations: ['49-33=16', '16/16=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[33, 16, 94, 49], Operations: []
Exploring Operation: 49-33=16, Resulting Numbers: [16, 94, 16]
Generated Node #0,3: 94:[16, 94, 16] Operation: 49-33=16
Moving to Node #0,3
Current State: 94:[16, 94, 16], Operations: ['49-33=16']
Exploring Operation: 16/16=1, Resulting Numbers: [94, 1]
Generated Node #0,3,2: 94:[94, 1] Operation: 16/16=1
Moving to Node #0,3,2
Current State: 94:[94, 1], Operations: ['49-33=16', '16/16=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465 | hs_4 | mult_heuristic |
[
58,
76,
54,
71
] | 10 | [
"71-58=13",
"76+54=130",
"130/13=10"
] | Current State: 10:[58, 76, 54, 71], Operations: []
Exploring Operation: 71-58=13, Resulting Numbers: [76, 54, 13]
Generated Node #2: [76, 54, 13] from Operation: 71-58=13
Current State: 10:[76, 54, 13], Operations: ['71-58=13']
Exploring Operation: 76+54=130, Resulting Numbers: [13, 130]
Generated Node #3: [13, 130] from Operation: 76+54=130
Current State: 10:[13, 130], Operations: ['71-58=13', '76+54=130']
Exploring Operation: 130/13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[58, 76, 54, 71], Operations: []
Exploring Operation: 71-54=17, Resulting Numbers: [58, 76, 17]
Generated Node #0,0: 10:[58, 76, 17] Operation: 71-54=17
Exploring Operation: 76-71=5, Resulting Numbers: [58, 54, 5]
Generated Node #0,1: 10:[58, 54, 5] Operation: 76-71=5
Exploring Operation: 71-58=13, Resulting Numbers: [76, 54, 13]
Generated Node #0,2: 10:[76, 54, 13] Operation: 71-58=13
Exploring Operation: 76-58=18, Resulting Numbers: [54, 71, 18]
Generated Node #0,3: 10:[54, 71, 18] Operation: 76-58=18
Exploring Operation: 76-54=22, Resulting Numbers: [58, 71, 22]
Generated Node #0,4: 10:[58, 71, 22] Operation: 76-54=22
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[58, 54, 5], Operations: ['76-71=5']
Exploring Operation: 58-5=53, Resulting Numbers: [54, 53]
Generated Node #0,1,0: 10:[54, 53] Operation: 58-5=53
Exploring Operation: 54-5=49, Resulting Numbers: [58, 49]
Generated Node #0,1,1: 10:[58, 49] Operation: 54-5=49
Exploring Operation: 58-54=4, Resulting Numbers: [5, 4]
Generated Node #0,1,2: 10:[5, 4] Operation: 58-54=4
Exploring Operation: 54+5=59, Resulting Numbers: [58, 59]
Generated Node #0,1,3: 10:[58, 59] Operation: 54+5=59
Exploring Operation: 58+5=63, Resulting Numbers: [54, 63]
Generated Node #0,1,4: 10:[54, 63] Operation: 58+5=63
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 10:[5, 4], Operations: ['76-71=5', '58-54=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 10:[54, 53], Operations: ['76-71=5', '58-5=53']
Exploring Operation: 54*53=2862, Resulting Numbers: [2862]
2862,10 unequal: No Solution
Exploring Operation: 54+53=107, Resulting Numbers: [107]
107,10 unequal: No Solution
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 10:[58, 49], Operations: ['76-71=5', '54-5=49']
Exploring Operation: 58*49=2842, Resulting Numbers: [2842]
2842,10 unequal: No Solution
Exploring Operation: 58-49=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 58+49=107, Resulting Numbers: [107]
107,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 10:[58, 59], Operations: ['76-71=5', '54+5=59']
Exploring Operation: 59-58=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 58*59=3422, Resulting Numbers: [3422]
3422,10 unequal: No Solution
Exploring Operation: 58+59=117, Resulting Numbers: [117]
117,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 10:[54, 63], Operations: ['76-71=5', '58+5=63']
Exploring Operation: 63-54=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 54*63=3402, Resulting Numbers: [3402]
3402,10 unequal: No Solution
Exploring Operation: 54+63=117, Resulting Numbers: [117]
117,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[76, 54, 13], Operations: ['71-58=13']
Exploring Operation: 76+13=89, Resulting Numbers: [54, 89]
Generated Node #0,2,0: 10:[54, 89] Operation: 76+13=89
Exploring Operation: 76+54=130, Resulting Numbers: [13, 130]
Generated Node #0,2,1: 10:[13, 130] Operation: 76+54=130
Exploring Operation: 54-13=41, Resulting Numbers: [76, 41]
Generated Node #0,2,2: 10:[76, 41] Operation: 54-13=41
Exploring Operation: 76-13=63, Resulting Numbers: [54, 63]
Generated Node #0,2,3: 10:[54, 63] Operation: 76-13=63
Exploring Operation: 76-54=22, Resulting Numbers: [13, 22]
Generated Node #0,2,4: 10:[13, 22] Operation: 76-54=22
Moving to Node #0,2,4
Current State: 10:[13, 22], Operations: ['71-58=13', '76-54=22']
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,10 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Moving to Node #0,2,3
Current State: 10:[54, 63], Operations: ['71-58=13', '76-13=63']
Exploring Operation: 54*63=3402, Resulting Numbers: [3402]
3402,10 unequal: No Solution
Exploring Operation: 63-54=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 54+63=117, Resulting Numbers: [117]
117,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[76, 41], Operations: ['71-58=13', '54-13=41']
Exploring Operation: 76+41=117, Resulting Numbers: [117]
117,10 unequal: No Solution
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Exploring Operation: 76*41=3116, Resulting Numbers: [3116]
3116,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[54, 89], Operations: ['71-58=13', '76+13=89']
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Exploring Operation: 54+89=143, Resulting Numbers: [143]
143,10 unequal: No Solution
Exploring Operation: 54*89=4806, Resulting Numbers: [4806]
4806,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[13, 130], Operations: ['71-58=13', '76+54=130']
Exploring Operation: 130/13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[58, 76, 54, 71], Operations: []
Exploring Operation: 71-58=13, Resulting Numbers: [76, 54, 13]
Generated Node #0,2: 10:[76, 54, 13] Operation: 71-58=13
Moving to Node #0,2
Current State: 10:[76, 54, 13], Operations: ['71-58=13']
Exploring Operation: 76+54=130, Resulting Numbers: [13, 130]
Generated Node #0,2,1: 10:[13, 130] Operation: 76+54=130
Moving to Node #0,2,1
Current State: 10:[13, 130], Operations: ['71-58=13', '76+54=130']
Exploring Operation: 130/13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_5 | mult_heuristic |
[
16,
80,
53,
8
] | 26 | [
"16*53=848",
"848/8=106",
"106-80=26"
] | Current State: 26:[16, 80, 53, 8], Operations: []
Exploring Operation: 16*53=848, Resulting Numbers: [80, 8, 848]
Generated Node #2: [80, 8, 848] from Operation: 16*53=848
Current State: 26:[80, 8, 848], Operations: ['16*53=848']
Exploring Operation: 848/8=106, Resulting Numbers: [80, 106]
Generated Node #3: [80, 106] from Operation: 848/8=106
Current State: 26:[80, 106], Operations: ['16*53=848', '848/8=106']
Exploring Operation: 106-80=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[16, 80, 53, 8], Operations: []
Exploring Operation: 80-53=27, Resulting Numbers: [16, 8, 27]
Generated Node #0,0: 26:[16, 8, 27] Operation: 80-53=27
Moving to Node #0,0
Current State: 26:[16, 8, 27], Operations: ['80-53=27']
Exploring Operation: 16/8=2, Resulting Numbers: [27, 2]
Generated Node #0,0,0: 26:[27, 2] Operation: 16/8=2
Moving to Node #0,0,0
Current State: 26:[27, 2], Operations: ['80-53=27', '16/8=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,26 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
13,
59,
78,
80
] | 44 | [
"59-13=46",
"80-78=2",
"46-2=44"
] | Current State: 44:[13, 59, 78, 80], Operations: []
Exploring Operation: 59-13=46, Resulting Numbers: [78, 80, 46]
Generated Node #2: [78, 80, 46] from Operation: 59-13=46
Current State: 44:[78, 80, 46], Operations: ['59-13=46']
Exploring Operation: 80-78=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 80-78=2
Current State: 44:[46, 2], Operations: ['59-13=46', '80-78=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[13, 59, 78, 80], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [13, 59, 2]
Generated Node #0,0: 44:[13, 59, 2] Operation: 80-78=2
Moving to Node #0,0
Current State: 44:[13, 59, 2], Operations: ['80-78=2']
Exploring Operation: 59-13=46, Resulting Numbers: [2, 46]
Generated Node #0,0,0: 44:[2, 46] Operation: 59-13=46
Moving to Node #0,0,0
Current State: 44:[2, 46], Operations: ['80-78=2', '59-13=46']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[13, 59, 78, 80], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [13, 59, 2]
Generated Node #0,0: 44:[13, 59, 2] Operation: 80-78=2
Moving to Node #0,0
Current State: 44:[13, 59, 2], Operations: ['80-78=2']
Exploring Operation: 59-13=46, Resulting Numbers: [2, 46]
Generated Node #0,0,0: 44:[2, 46] Operation: 59-13=46
Moving to Node #0,0,0
Current State: 44:[2, 46], Operations: ['80-78=2', '59-13=46']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
3,
9,
42,
54
] | 36 | [
"9/3=3",
"54-42=12",
"3*12=36"
] | Current State: 36:[3, 9, 42, 54], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [42, 54, 3]
Generated Node #2: [42, 54, 3] from Operation: 9/3=3
Current State: 36:[42, 54, 3], Operations: ['9/3=3']
Exploring Operation: 54-42=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 54-42=12
Current State: 36:[3, 12], Operations: ['9/3=3', '54-42=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[3, 9, 42, 54], Operations: []
Exploring Operation: 54/9=6, Resulting Numbers: [3, 42, 6]
Generated Node #0,0: 36:[3, 42, 6] Operation: 54/9=6
Exploring Operation: 54/3=18, Resulting Numbers: [9, 42, 18]
Generated Node #0,1: 36:[9, 42, 18] Operation: 54/3=18
Exploring Operation: 42/3=14, Resulting Numbers: [9, 54, 14]
Generated Node #0,2: 36:[9, 54, 14] Operation: 42/3=14
Exploring Operation: 54-42=12, Resulting Numbers: [3, 9, 12]
Generated Node #0,3: 36:[3, 9, 12] Operation: 54-42=12
Exploring Operation: 54-9=45, Resulting Numbers: [3, 42, 45]
Generated Node #0,4: 36:[3, 42, 45] Operation: 54-9=45
Moving to Node #0,3
Current State: 36:[3, 9, 12], Operations: ['54-42=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9, 9]
Generated Node #0,3,0: 36:[9, 9] Operation: 12-3=9
Exploring Operation: 3*12=36, Resulting Numbers: [9, 36]
Generated Node #0,3,1: 36:[9, 36] Operation: 3*12=36
Exploring Operation: 3+9=12, Resulting Numbers: [12, 12]
Generated Node #0,3,2: 36:[12, 12] Operation: 3+9=12
Exploring Operation: 9-3=6, Resulting Numbers: [12, 6]
Generated Node #0,3,3: 36:[12, 6] Operation: 9-3=6
Exploring Operation: 9/3=3, Resulting Numbers: [12, 3]
Generated Node #0,3,4: 36:[12, 3] Operation: 9/3=3
Moving to Node #0,1
Current State: 36:[9, 42, 18], Operations: ['54/3=18']
Exploring Operation: 42-18=24, Resulting Numbers: [9, 24]
Generated Node #0,1,0: 36:[9, 24] Operation: 42-18=24
Exploring Operation: 18/9=2, Resulting Numbers: [42, 2]
Generated Node #0,1,1: 36:[42, 2] Operation: 18/9=2
Exploring Operation: 9+42=51, Resulting Numbers: [18, 51]
Generated Node #0,1,2: 36:[18, 51] Operation: 9+42=51
Exploring Operation: 42-9=33, Resulting Numbers: [18, 33]
Generated Node #0,1,3: 36:[18, 33] Operation: 42-9=33
Exploring Operation: 18-9=9, Resulting Numbers: [42, 9]
Generated Node #0,1,4: 36:[42, 9] Operation: 18-9=9
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 36:[18, 33], Operations: ['54/3=18', '42-9=33']
Exploring Operation: 18*33=594, Resulting Numbers: [594]
594,36 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,36 unequal: No Solution
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[9, 24], Operations: ['54/3=18', '42-18=24']
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,36 unequal: No Solution
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[42, 2], Operations: ['54/3=18', '18/9=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,36 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 36:[42, 9], Operations: ['54/3=18', '18-9=9']
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,36 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 36:[18, 51], Operations: ['54/3=18', '9+42=51']
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Exploring Operation: 18+51=69, Resulting Numbers: [69]
69,36 unequal: No Solution
Exploring Operation: 18*51=918, Resulting Numbers: [918]
918,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 36:[3, 42, 6], Operations: ['54/9=6']
Exploring Operation: 3+6=9, Resulting Numbers: [42, 9]
Generated Node #0,0,0: 36:[42, 9] Operation: 3+6=9
Exploring Operation: 42-3=39, Resulting Numbers: [6, 39]
Generated Node #0,0,1: 36:[6, 39] Operation: 42-3=39
Exploring Operation: 42/3=14, Resulting Numbers: [6, 14]
Generated Node #0,0,2: 36:[6, 14] Operation: 42/3=14
Exploring Operation: 42/6=7, Resulting Numbers: [3, 7]
Generated Node #0,0,3: 36:[3, 7] Operation: 42/6=7
Exploring Operation: 42-6=36, Resulting Numbers: [3, 36]
Generated Node #0,0,4: 36:[3, 36] Operation: 42-6=36
Moving to Node #0,4
Current State: 36:[3, 42, 45], Operations: ['54-9=45']
Exploring Operation: 42/3=14, Resulting Numbers: [45, 14]
Generated Node #0,4,0: 36:[45, 14] Operation: 42/3=14
Exploring Operation: 45-3=42, Resulting Numbers: [42, 42]
Generated Node #0,4,1: 36:[42, 42] Operation: 45-3=42
Exploring Operation: 45/3=15, Resulting Numbers: [42, 15]
Generated Node #0,4,2: 36:[42, 15] Operation: 45/3=15
Exploring Operation: 42-3=39, Resulting Numbers: [45, 39]
Generated Node #0,4,3: 36:[45, 39] Operation: 42-3=39
Exploring Operation: 45-42=3, Resulting Numbers: [3, 3]
Generated Node #0,4,4: 36:[3, 3] Operation: 45-42=3
Moving to Node #0,2
Current State: 36:[9, 54, 14], Operations: ['42/3=14']
Exploring Operation: 54-14=40, Resulting Numbers: [9, 40]
Generated Node #0,2,0: 36:[9, 40] Operation: 54-14=40
Exploring Operation: 54-9=45, Resulting Numbers: [14, 45]
Generated Node #0,2,1: 36:[14, 45] Operation: 54-9=45
Exploring Operation: 9+14=23, Resulting Numbers: [54, 23]
Generated Node #0,2,2: 36:[54, 23] Operation: 9+14=23
Exploring Operation: 54/9=6, Resulting Numbers: [14, 6]
Generated Node #0,2,3: 36:[14, 6] Operation: 54/9=6
Exploring Operation: 14-9=5, Resulting Numbers: [54, 5]
Generated Node #0,2,4: 36:[54, 5] Operation: 14-9=5
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 36:[14, 6], Operations: ['42/3=14', '54/9=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,36 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 36:[9, 40], Operations: ['42/3=14', '54-14=40']
Exploring Operation: 9*40=360, Resulting Numbers: [360]
360,36 unequal: No Solution
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,36 unequal: No Solution
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 36:[14, 45], Operations: ['42/3=14', '54-9=45']
Exploring Operation: 14*45=630, Resulting Numbers: [630]
630,36 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,36 unequal: No Solution
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 36:[54, 5], Operations: ['42/3=14', '14-9=5']
Exploring Operation: 54*5=270, Resulting Numbers: [270]
270,36 unequal: No Solution
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,36 unequal: No Solution
Exploring Operation: 54+5=59, Resulting Numbers: [59]
59,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 36:[54, 23], Operations: ['42/3=14', '9+14=23']
Exploring Operation: 54*23=1242, Resulting Numbers: [1242]
1242,36 unequal: No Solution
Exploring Operation: 54+23=77, Resulting Numbers: [77]
77,36 unequal: No Solution
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,36 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: 36:[9, 9], Operations: ['54-42=12', '12-3=9']
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,36 unequal: No Solution
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,36 unequal: No Solution
Moving to Node #0,3,2
Current State: 36:[12, 12], Operations: ['54-42=12', '3+9=12']
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,36 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Moving to Node #0,0,4
Current State: 36:[3, 36], Operations: ['54/9=6', '42-6=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,36 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Moving to Node #0,3,1
Current State: 36:[9, 36], Operations: ['54-42=12', '3*12=36']
Exploring Operation: 9*36=324, Resulting Numbers: [324]
324,36 unequal: No Solution
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Moving to Node #0,3,4
Current State: 36:[12, 3], Operations: ['54-42=12', '9/3=3']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[3, 9, 42, 54], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [3, 9, 12]
Generated Node #0,3: 36:[3, 9, 12] Operation: 54-42=12
Moving to Node #0,3
Current State: 36:[3, 9, 12], Operations: ['54-42=12']
Exploring Operation: 9/3=3, Resulting Numbers: [12, 3]
Generated Node #0,3,4: 36:[12, 3] Operation: 9/3=3
Moving to Node #0,3,4
Current State: 36:[12, 3], Operations: ['54-42=12', '9/3=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 0.927951 | hs_5 | mult_heuristic |
[
8,
24,
34,
25
] | 22 | [
"25-8=17",
"34/17=2",
"24-2=22"
] | Current State: 22:[8, 24, 34, 25], Operations: []
Exploring Operation: 25-8=17, Resulting Numbers: [24, 34, 17]
Generated Node #2: [24, 34, 17] from Operation: 25-8=17
Current State: 22:[24, 34, 17], Operations: ['25-8=17']
Exploring Operation: 34/17=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 34/17=2
Current State: 22:[24, 2], Operations: ['25-8=17', '34/17=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[8, 24, 34, 25], Operations: []
Exploring Operation: 34-25=9, Resulting Numbers: [8, 24, 9]
Generated Node #0,0: 22:[8, 24, 9] Operation: 34-25=9
Exploring Operation: 34-24=10, Resulting Numbers: [8, 25, 10]
Generated Node #0,1: 22:[8, 25, 10] Operation: 34-24=10
Exploring Operation: 34-8=26, Resulting Numbers: [24, 25, 26]
Generated Node #0,2: 22:[24, 25, 26] Operation: 34-8=26
Exploring Operation: 24/8=3, Resulting Numbers: [34, 25, 3]
Generated Node #0,3: 22:[34, 25, 3] Operation: 24/8=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[8, 24, 9], Operations: ['34-25=9']
Exploring Operation: 9-8=1, Resulting Numbers: [24, 1]
Generated Node #0,0,0: 22:[24, 1] Operation: 9-8=1
Exploring Operation: 24-8=16, Resulting Numbers: [9, 16]
Generated Node #0,0,1: 22:[9, 16] Operation: 24-8=16
Exploring Operation: 24/8=3, Resulting Numbers: [9, 3]
Generated Node #0,0,2: 22:[9, 3] Operation: 24/8=3
Exploring Operation: 8+9=17, Resulting Numbers: [24, 17]
Generated Node #0,0,3: 22:[24, 17] Operation: 8+9=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[24, 1], Operations: ['34-25=9', '9-8=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,22 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,22 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,22 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 22:[9, 3], Operations: ['34-25=9', '24/8=3']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,22 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 22:[9, 16], Operations: ['34-25=9', '24-8=16']
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,22 unequal: No Solution
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 22:[24, 17], Operations: ['34-25=9', '8+9=17']
Exploring Operation: 24+17=41, Resulting Numbers: [41]
41,22 unequal: No Solution
Exploring Operation: 24*17=408, Resulting Numbers: [408]
408,22 unequal: No Solution
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[8, 25, 10], Operations: ['34-24=10']
Exploring Operation: 10-8=2, Resulting Numbers: [25, 2]
Generated Node #0,1,0: 22:[25, 2] Operation: 10-8=2
Exploring Operation: 25-10=15, Resulting Numbers: [8, 15]
Generated Node #0,1,1: 22:[8, 15] Operation: 25-10=15
Exploring Operation: 8+10=18, Resulting Numbers: [25, 18]
Generated Node #0,1,2: 22:[25, 18] Operation: 8+10=18
Exploring Operation: 25-8=17, Resulting Numbers: [10, 17]
Generated Node #0,1,3: 22:[10, 17] Operation: 25-8=17
Moving to Node #0,1,0
Current State: 22:[25, 2], Operations: ['34-24=10', '10-8=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,22 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,22 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,22 unequal: No Solution
Moving to Node #0,1,3
Current State: 22:[10, 17], Operations: ['34-24=10', '25-8=17']
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,22 unequal: No Solution
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,22 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Moving to Node #0,1,2
Current State: 22:[25, 18], Operations: ['34-24=10', '8+10=18']
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,22 unequal: No Solution
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,22 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[8, 15], Operations: ['34-24=10', '25-10=15']
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,22 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 22:[24, 25, 26], Operations: ['34-8=26']
Exploring Operation: 25-24=1, Resulting Numbers: [26, 1]
Generated Node #0,2,0: 22:[26, 1] Operation: 25-24=1
Exploring Operation: 26-24=2, Resulting Numbers: [25, 2]
Generated Node #0,2,1: 22:[25, 2] Operation: 26-24=2
Exploring Operation: 26-25=1, Resulting Numbers: [24, 1]
Generated Node #0,2,2: 22:[24, 1] Operation: 26-25=1
Exploring Operation: 24+25=49, Resulting Numbers: [26, 49]
Generated Node #0,2,3: 22:[26, 49] Operation: 24+25=49
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 22:[25, 2], Operations: ['34-8=26', '26-24=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,22 unequal: No Solution
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,22 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 22:[24, 1], Operations: ['34-8=26', '26-25=1']
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,22 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,22 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,22 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 22:[26, 1], Operations: ['34-8=26', '25-24=1']
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,22 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,22 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 22:[26, 49], Operations: ['34-8=26', '24+25=49']
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,22 unequal: No Solution
Exploring Operation: 26+49=75, Resulting Numbers: [75]
75,22 unequal: No Solution
Exploring Operation: 26*49=1274, Resulting Numbers: [1274]
1274,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 22:[34, 25, 3], Operations: ['24/8=3']
Exploring Operation: 25-3=22, Resulting Numbers: [34, 22]
Generated Node #0,3,0: 22:[34, 22] Operation: 25-3=22
Exploring Operation: 34-25=9, Resulting Numbers: [3, 9]
Generated Node #0,3,1: 22:[3, 9] Operation: 34-25=9
Exploring Operation: 34+3=37, Resulting Numbers: [25, 37]
Generated Node #0,3,2: 22:[25, 37] Operation: 34+3=37
Exploring Operation: 34-3=31, Resulting Numbers: [25, 31]
Generated Node #0,3,3: 22:[25, 31] Operation: 34-3=31
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 22:[3, 9], Operations: ['24/8=3', '34-25=9']
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,22 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 22:[34, 22], Operations: ['24/8=3', '25-3=22']
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 34*22=748, Resulting Numbers: [748]
748,22 unequal: No Solution
Exploring Operation: 34+22=56, Resulting Numbers: [56]
56,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 22:[25, 31], Operations: ['24/8=3', '34-3=31']
Exploring Operation: 31-25=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 25*31=775, Resulting Numbers: [775]
775,22 unequal: No Solution
Exploring Operation: 25+31=56, Resulting Numbers: [56]
56,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 22:[25, 37], Operations: ['24/8=3', '34+3=37']
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,22 unequal: No Solution
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
70,
74,
10,
27
] | 33 | [
"74-70=4",
"10+27=37",
"37-4=33"
] | Current State: 33:[70, 74, 10, 27], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [10, 27, 4]
Generated Node #2: [10, 27, 4] from Operation: 74-70=4
Current State: 33:[10, 27, 4], Operations: ['74-70=4']
Exploring Operation: 10+27=37, Resulting Numbers: [4, 37]
Generated Node #3: [4, 37] from Operation: 10+27=37
Current State: 33:[4, 37], Operations: ['74-70=4', '10+27=37']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[70, 74, 10, 27], Operations: []
Exploring Operation: 74-27=47, Resulting Numbers: [70, 10, 47]
Generated Node #0,0: 33:[70, 10, 47] Operation: 74-27=47
Exploring Operation: 70-10=60, Resulting Numbers: [74, 27, 60]
Generated Node #0,1: 33:[74, 27, 60] Operation: 70-10=60
Exploring Operation: 70-27=43, Resulting Numbers: [74, 10, 43]
Generated Node #0,2: 33:[74, 10, 43] Operation: 70-27=43
Exploring Operation: 74-70=4, Resulting Numbers: [10, 27, 4]
Generated Node #0,3: 33:[10, 27, 4] Operation: 74-70=4
Exploring Operation: 70/10=7, Resulting Numbers: [74, 27, 7]
Generated Node #0,4: 33:[74, 27, 7] Operation: 70/10=7
Moving to Node #0,3
Current State: 33:[10, 27, 4], Operations: ['74-70=4']
Exploring Operation: 27+4=31, Resulting Numbers: [10, 31]
Generated Node #0,3,0: 33:[10, 31] Operation: 27+4=31
Exploring Operation: 10-4=6, Resulting Numbers: [27, 6]
Generated Node #0,3,1: 33:[27, 6] Operation: 10-4=6
Exploring Operation: 10+27=37, Resulting Numbers: [4, 37]
Generated Node #0,3,2: 33:[4, 37] Operation: 10+27=37
Exploring Operation: 10+4=14, Resulting Numbers: [27, 14]
Generated Node #0,3,3: 33:[27, 14] Operation: 10+4=14
Exploring Operation: 27-10=17, Resulting Numbers: [4, 17]
Generated Node #0,3,4: 33:[4, 17] Operation: 27-10=17
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 33:[10, 31], Operations: ['74-70=4', '27+4=31']
Exploring Operation: 10*31=310, Resulting Numbers: [310]
310,33 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 10+31=41, Resulting Numbers: [41]
41,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 33:[4, 37], Operations: ['74-70=4', '10+27=37']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[70, 74, 10, 27], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [10, 27, 4]
Generated Node #0,3: 33:[10, 27, 4] Operation: 74-70=4
Moving to Node #0,3
Current State: 33:[10, 27, 4], Operations: ['74-70=4']
Exploring Operation: 10+27=37, Resulting Numbers: [4, 37]
Generated Node #0,3,2: 33:[4, 37] Operation: 10+27=37
Moving to Node #0,3,2
Current State: 33:[4, 37], Operations: ['74-70=4', '10+27=37']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
38,
4,
35,
28
] | 35 | [
"38+4=42",
"35-28=7",
"42-7=35"
] | Current State: 35:[38, 4, 35, 28], Operations: []
Exploring Operation: 38+4=42, Resulting Numbers: [35, 28, 42]
Generated Node #2: [35, 28, 42] from Operation: 38+4=42
Current State: 35:[35, 28, 42], Operations: ['38+4=42']
Exploring Operation: 35-28=7, Resulting Numbers: [42, 7]
Generated Node #3: [42, 7] from Operation: 35-28=7
Current State: 35:[42, 7], Operations: ['38+4=42', '35-28=7']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[38, 4, 35, 28], Operations: []
Exploring Operation: 4+28=32, Resulting Numbers: [38, 35, 32]
Generated Node #0,0: 35:[38, 35, 32] Operation: 4+28=32
Exploring Operation: 35-28=7, Resulting Numbers: [38, 4, 7]
Generated Node #0,1: 35:[38, 4, 7] Operation: 35-28=7
Exploring Operation: 28/4=7, Resulting Numbers: [38, 35, 7]
Generated Node #0,2: 35:[38, 35, 7] Operation: 28/4=7
Exploring Operation: 38-28=10, Resulting Numbers: [4, 35, 10]
Generated Node #0,3: 35:[4, 35, 10] Operation: 38-28=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[38, 35, 7], Operations: ['28/4=7']
Exploring Operation: 38-7=31, Resulting Numbers: [35, 31]
Generated Node #0,2,0: 35:[35, 31] Operation: 38-7=31
Exploring Operation: 35/7=5, Resulting Numbers: [38, 5]
Generated Node #0,2,1: 35:[38, 5] Operation: 35/7=5
Exploring Operation: 38-35=3, Resulting Numbers: [7, 3]
Generated Node #0,2,2: 35:[7, 3] Operation: 38-35=3
Exploring Operation: 38+7=45, Resulting Numbers: [35, 45]
Generated Node #0,2,3: 35:[35, 45] Operation: 38+7=45
Moving to Node #0,2,2
Current State: 35:[7, 3], Operations: ['28/4=7', '38-35=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[38, 5], Operations: ['28/4=7', '35/7=5']
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,35 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,35 unequal: No Solution
Exploring Operation: 38*5=190, Resulting Numbers: [190]
190,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[35, 31], Operations: ['28/4=7', '38-7=31']
Exploring Operation: 35+31=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 35*31=1085, Resulting Numbers: [1085]
1085,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[35, 45], Operations: ['28/4=7', '38+7=45']
Exploring Operation: 35*45=1575, Resulting Numbers: [1575]
1575,35 unequal: No Solution
Exploring Operation: 35+45=80, Resulting Numbers: [80]
80,35 unequal: No Solution
Exploring Operation: 45-35=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 #0,1
Current State: 35:[38, 4, 7], Operations: ['35-28=7']
Exploring Operation: 7-4=3, Resulting Numbers: [38, 3]
Generated Node #0,1,0: 35:[38, 3] Operation: 7-4=3
Exploring Operation: 38-4=34, Resulting Numbers: [7, 34]
Generated Node #0,1,1: 35:[7, 34] Operation: 38-4=34
Exploring Operation: 38+4=42, Resulting Numbers: [7, 42]
Generated Node #0,1,2: 35:[7, 42] Operation: 38+4=42
Exploring Operation: 38-7=31, Resulting Numbers: [4, 31]
Generated Node #0,1,3: 35:[4, 31] Operation: 38-7=31
Moving to Node #0,1,1
Current State: 35:[7, 34], Operations: ['35-28=7', '38-4=34']
Exploring Operation: 7+34=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,35 unequal: No Solution
Exploring Operation: 7*34=238, Resulting Numbers: [238]
238,35 unequal: No Solution
Moving to Node #0,1,3
Current State: 35:[4, 31], Operations: ['35-28=7', '38-7=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,35 unequal: No Solution
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[38, 4, 35, 28], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [38, 4, 7]
Generated Node #0,1: 35:[38, 4, 7] Operation: 35-28=7
Moving to Node #0,1
Current State: 35:[38, 4, 7], Operations: ['35-28=7']
Exploring Operation: 38-7=31, Resulting Numbers: [4, 31]
Generated Node #0,1,3: 35:[4, 31] Operation: 38-7=31
Moving to Node #0,1,3
Current State: 35:[4, 31], Operations: ['35-28=7', '38-7=31']
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_4 | sum_heuristic |
[
87,
17,
4,
9
] | 55 | [
"17-9=8",
"4*8=32",
"87-32=55"
] | Current State: 55:[87, 17, 4, 9], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [87, 4, 8]
Generated Node #2: [87, 4, 8] from Operation: 17-9=8
Current State: 55:[87, 4, 8], Operations: ['17-9=8']
Exploring Operation: 4*8=32, Resulting Numbers: [87, 32]
Generated Node #3: [87, 32] from Operation: 4*8=32
Current State: 55:[87, 32], Operations: ['17-9=8', '4*8=32']
Exploring Operation: 87-32=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[87, 17, 4, 9], Operations: []
Exploring Operation: 87-4=83, Resulting Numbers: [17, 9, 83]
Generated Node #0,0: 55:[17, 9, 83] Operation: 87-4=83
Exploring Operation: 17-4=13, Resulting Numbers: [87, 9, 13]
Generated Node #0,1: 55:[87, 9, 13] Operation: 17-4=13
Exploring Operation: 87-9=78, Resulting Numbers: [17, 4, 78]
Generated Node #0,2: 55:[17, 4, 78] Operation: 87-9=78
Exploring Operation: 87-17=70, Resulting Numbers: [4, 9, 70]
Generated Node #0,3: 55:[4, 9, 70] Operation: 87-17=70
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[4, 9, 70], Operations: ['87-17=70']
Exploring Operation: 9-4=5, Resulting Numbers: [70, 5]
Generated Node #0,3,0: 55:[70, 5] Operation: 9-4=5
Exploring Operation: 70-4=66, Resulting Numbers: [9, 66]
Generated Node #0,3,1: 55:[9, 66] Operation: 70-4=66
Exploring Operation: 4+9=13, Resulting Numbers: [70, 13]
Generated Node #0,3,2: 55:[70, 13] Operation: 4+9=13
Exploring Operation: 70-9=61, Resulting Numbers: [4, 61]
Generated Node #0,3,3: 55:[4, 61] Operation: 70-9=61
Moving to Node #0,3,3
Current State: 55:[4, 61], Operations: ['87-17=70', '70-9=61']
Exploring Operation: 4*61=244, Resulting Numbers: [244]
244,55 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 4+61=65, Resulting Numbers: [65]
65,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[9, 66], Operations: ['87-17=70', '70-4=66']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 9*66=594, Resulting Numbers: [594]
594,55 unequal: No Solution
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[70, 5], Operations: ['87-17=70', '9-4=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,55 unequal: No Solution
Exploring Operation: 70*5=350, Resulting Numbers: [350]
350,55 unequal: No Solution
Exploring Operation: 70+5=75, Resulting Numbers: [75]
75,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[70, 13], Operations: ['87-17=70', '4+9=13']
Exploring Operation: 70+13=83, Resulting Numbers: [83]
83,55 unequal: No Solution
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 70*13=910, Resulting Numbers: [910]
910,55 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 #0,2
Current State: 55:[17, 4, 78], Operations: ['87-9=78']
Exploring Operation: 17+4=21, Resulting Numbers: [78, 21]
Generated Node #0,2,0: 55:[78, 21] Operation: 17+4=21
Exploring Operation: 17-4=13, Resulting Numbers: [78, 13]
Generated Node #0,2,1: 55:[78, 13] Operation: 17-4=13
Exploring Operation: 78-4=74, Resulting Numbers: [17, 74]
Generated Node #0,2,2: 55:[17, 74] Operation: 78-4=74
Exploring Operation: 78-17=61, Resulting Numbers: [4, 61]
Generated Node #0,2,3: 55:[4, 61] Operation: 78-17=61
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 55:[4, 61], Operations: ['87-9=78', '78-17=61']
Exploring Operation: 4*61=244, Resulting Numbers: [244]
244,55 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 4+61=65, Resulting Numbers: [65]
65,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 55:[78, 13], Operations: ['87-9=78', '17-4=13']
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,55 unequal: No Solution
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,55 unequal: No Solution
Exploring Operation: 78/13=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 78*13=1014, Resulting Numbers: [1014]
1014,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 55:[17, 74], Operations: ['87-9=78', '78-4=74']
Exploring Operation: 17+74=91, Resulting Numbers: [91]
91,55 unequal: No Solution
Exploring Operation: 17*74=1258, Resulting Numbers: [1258]
1258,55 unequal: No Solution
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 55:[78, 21], Operations: ['87-9=78', '17+4=21']
Exploring Operation: 78*21=1638, Resulting Numbers: [1638]
1638,55 unequal: No Solution
Exploring Operation: 78-21=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 78+21=99, Resulting Numbers: [99]
99,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[17, 9, 83], Operations: ['87-4=83']
Exploring Operation: 83-17=66, Resulting Numbers: [9, 66]
Generated Node #0,0,0: 55:[9, 66] Operation: 83-17=66
Exploring Operation: 83-9=74, Resulting Numbers: [17, 74]
Generated Node #0,0,1: 55:[17, 74] Operation: 83-9=74
Exploring Operation: 17-9=8, Resulting Numbers: [83, 8]
Generated Node #0,0,2: 55:[83, 8] Operation: 17-9=8
Exploring Operation: 17+9=26, Resulting Numbers: [83, 26]
Generated Node #0,0,3: 55:[83, 26] Operation: 17+9=26
Moving to Node #0,0,0
Current State: 55:[9, 66], Operations: ['87-4=83', '83-17=66']
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,55 unequal: No Solution
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 9*66=594, Resulting Numbers: [594]
594,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[17, 74], Operations: ['87-4=83', '83-9=74']
Exploring Operation: 17*74=1258, Resulting Numbers: [1258]
1258,55 unequal: No Solution
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 17+74=91, Resulting Numbers: [91]
91,55 unequal: No Solution
Moving to Node #0,0,2
Current State: 55:[83, 8], Operations: ['87-4=83', '17-9=8']
Exploring Operation: 83*8=664, Resulting Numbers: [664]
664,55 unequal: No Solution
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,55 unequal: No Solution
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[83, 26], Operations: ['87-4=83', '17+9=26']
Exploring Operation: 83+26=109, Resulting Numbers: [109]
109,55 unequal: No Solution
Exploring Operation: 83-26=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 83*26=2158, Resulting Numbers: [2158]
2158,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[87, 9, 13], Operations: ['17-4=13']
Exploring Operation: 87-9=78, Resulting Numbers: [13, 78]
Generated Node #0,1,0: 55:[13, 78] Operation: 87-9=78
Exploring Operation: 87-13=74, Resulting Numbers: [9, 74]
Generated Node #0,1,1: 55:[9, 74] Operation: 87-13=74
Exploring Operation: 87+9=96, Resulting Numbers: [13, 96]
Generated Node #0,1,2: 55:[13, 96] Operation: 87+9=96
Exploring Operation: 13-9=4, Resulting Numbers: [87, 4]
Generated Node #0,1,3: 55:[87, 4] Operation: 13-9=4
Moving to Node #0,1,1
Current State: 55:[9, 74], Operations: ['17-4=13', '87-13=74']
Exploring Operation: 9*74=666, Resulting Numbers: [666]
666,55 unequal: No Solution
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,55 unequal: No Solution
Exploring Operation: 9+74=83, Resulting Numbers: [83]
83,55 unequal: No Solution
Moving to Node #0,1,0
Current State: 55:[13, 78], Operations: ['17-4=13', '87-9=78']
Exploring Operation: 13+78=91, Resulting Numbers: [91]
91,55 unequal: No Solution
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,55 unequal: No Solution
Exploring Operation: 13*78=1014, Resulting Numbers: [1014]
1014,55 unequal: No Solution
Exploring Operation: 78/13=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[87, 4], Operations: ['17-4=13', '13-9=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,55 unequal: No Solution
Exploring Operation: 87*4=348, Resulting Numbers: [348]
348,55 unequal: No Solution
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[13, 96], Operations: ['17-4=13', '87+9=96']
Exploring Operation: 13*96=1248, Resulting Numbers: [1248]
1248,55 unequal: No Solution
Exploring Operation: 96-13=83, Resulting Numbers: [83]
83,55 unequal: No Solution
Exploring Operation: 13+96=109, Resulting Numbers: [109]
109,55 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 |
[
58,
54,
50,
86
] | 37 | [
"58*54=3132",
"50+3132=3182",
"3182/86=37"
] | Current State: 37:[58, 54, 50, 86], Operations: []
Exploring Operation: 58*54=3132, Resulting Numbers: [50, 86, 3132]
Generated Node #2: [50, 86, 3132] from Operation: 58*54=3132
Current State: 37:[50, 86, 3132], Operations: ['58*54=3132']
Exploring Operation: 50+3132=3182, Resulting Numbers: [86, 3182]
Generated Node #3: [86, 3182] from Operation: 50+3132=3182
Current State: 37:[86, 3182], Operations: ['58*54=3132', '50+3132=3182']
Exploring Operation: 3182/86=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[58, 54, 50, 86], Operations: []
Exploring Operation: 86-54=32, Resulting Numbers: [58, 50, 32]
Generated Node #0,0: 37:[58, 50, 32] Operation: 86-54=32
Exploring Operation: 86-50=36, Resulting Numbers: [58, 54, 36]
Generated Node #0,1: 37:[58, 54, 36] Operation: 86-50=36
Exploring Operation: 86-58=28, Resulting Numbers: [54, 50, 28]
Generated Node #0,2: 37:[54, 50, 28] Operation: 86-58=28
Moving to Node #0,0
Current State: 37:[58, 50, 32], Operations: ['86-54=32']
Exploring Operation: 50-32=18, Resulting Numbers: [58, 18]
Generated Node #0,0,0: 37:[58, 18] Operation: 50-32=18
Exploring Operation: 58-50=8, Resulting Numbers: [32, 8]
Generated Node #0,0,1: 37:[32, 8] Operation: 58-50=8
Exploring Operation: 58-32=26, Resulting Numbers: [50, 26]
Generated Node #0,0,2: 37:[50, 26] Operation: 58-32=26
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[50, 26], Operations: ['86-54=32', '58-32=26']
Exploring Operation: 50*26=1300, Resulting Numbers: [1300]
1300,37 unequal: No Solution
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 50+26=76, Resulting Numbers: [76]
76,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[32, 8], Operations: ['86-54=32', '58-50=8']
Exploring Operation: 32+8=40, Resulting Numbers: [40]
40,37 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[58, 18], Operations: ['86-54=32', '50-32=18']
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,37 unequal: No Solution
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,37 unequal: No Solution
Exploring Operation: 58*18=1044, Resulting Numbers: [1044]
1044,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 37:[58, 54, 36], Operations: ['86-50=36']
Exploring Operation: 58-36=22, Resulting Numbers: [54, 22]
Generated Node #0,1,0: 37:[54, 22] Operation: 58-36=22
Exploring Operation: 58-54=4, Resulting Numbers: [36, 4]
Generated Node #0,1,1: 37:[36, 4] Operation: 58-54=4
Exploring Operation: 54-36=18, Resulting Numbers: [58, 18]
Generated Node #0,1,2: 37:[58, 18] Operation: 54-36=18
Moving to Node #0,2
Current State: 37:[54, 50, 28], Operations: ['86-58=28']
Exploring Operation: 50-28=22, Resulting Numbers: [54, 22]
Generated Node #0,2,0: 37:[54, 22] Operation: 50-28=22
Exploring Operation: 54-50=4, Resulting Numbers: [28, 4]
Generated Node #0,2,1: 37:[28, 4] Operation: 54-50=4
Exploring Operation: 54-28=26, Resulting Numbers: [50, 26]
Generated Node #0,2,2: 37:[50, 26] Operation: 54-28=26
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 37:[50, 26], Operations: ['86-58=28', '54-28=26']
Exploring Operation: 50+26=76, Resulting Numbers: [76]
76,37 unequal: No Solution
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 50*26=1300, Resulting Numbers: [1300]
1300,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 37:[54, 22], Operations: ['86-58=28', '50-28=22']
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,37 unequal: No Solution
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,37 unequal: No Solution
Exploring Operation: 54*22=1188, Resulting Numbers: [1188]
1188,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 37:[28, 4], Operations: ['86-58=28', '54-50=4']
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,37 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 37:[54, 22], Operations: ['86-50=36', '58-36=22']
Exploring Operation: 54*22=1188, Resulting Numbers: [1188]
1188,37 unequal: No Solution
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,37 unequal: No Solution
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[36, 4], Operations: ['86-50=36', '58-54=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,37 unequal: No Solution
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,37 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[58, 18], Operations: ['86-50=36', '54-36=18']
Exploring Operation: 58*18=1044, Resulting Numbers: [1044]
1044,37 unequal: No Solution
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,37 unequal: No Solution
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,37 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
9,
15,
70,
3
] | 49 | [
"9+15=24",
"70+3=73",
"73-24=49"
] | Current State: 49:[9, 15, 70, 3], Operations: []
Exploring Operation: 9+15=24, Resulting Numbers: [70, 3, 24]
Generated Node #2: [70, 3, 24] from Operation: 9+15=24
Current State: 49:[70, 3, 24], Operations: ['9+15=24']
Exploring Operation: 70+3=73, Resulting Numbers: [24, 73]
Generated Node #3: [24, 73] from Operation: 70+3=73
Current State: 49:[24, 73], Operations: ['9+15=24', '70+3=73']
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[9, 15, 70, 3], Operations: []
Exploring Operation: 70-15=55, Resulting Numbers: [9, 3, 55]
Generated Node #0,0: 49:[9, 3, 55] Operation: 70-15=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[9, 3, 55], Operations: ['70-15=55']
Exploring Operation: 55-3=52, Resulting Numbers: [9, 52]
Generated Node #0,0,0: 49:[9, 52] Operation: 55-3=52
Moving to Node #0,0,0
Current State: 49:[9, 52], Operations: ['70-15=55', '55-3=52']
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,49 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 |
[
18,
59,
32,
20
] | 75 | [
"20-18=2",
"32/2=16",
"59+16=75"
] | Current State: 75:[18, 59, 32, 20], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [59, 32, 2]
Generated Node #2: [59, 32, 2] from Operation: 20-18=2
Current State: 75:[59, 32, 2], Operations: ['20-18=2']
Exploring Operation: 32/2=16, Resulting Numbers: [59, 16]
Generated Node #3: [59, 16] from Operation: 32/2=16
Current State: 75:[59, 16], Operations: ['20-18=2', '32/2=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[18, 59, 32, 20], Operations: []
Exploring Operation: 18+59=77, Resulting Numbers: [32, 20, 77]
Generated Node #0,0: 75:[32, 20, 77] Operation: 18+59=77
Exploring Operation: 59+20=79, Resulting Numbers: [18, 32, 79]
Generated Node #0,1: 75:[18, 32, 79] Operation: 59+20=79
Exploring Operation: 59-32=27, Resulting Numbers: [18, 20, 27]
Generated Node #0,2: 75:[18, 20, 27] Operation: 59-32=27
Moving to Node #0,2
Current State: 75:[18, 20, 27], Operations: ['59-32=27']
Exploring Operation: 27-18=9, Resulting Numbers: [20, 9]
Generated Node #0,2,0: 75:[20, 9] Operation: 27-18=9
Exploring Operation: 20-18=2, Resulting Numbers: [27, 2]
Generated Node #0,2,1: 75:[27, 2] Operation: 20-18=2
Exploring Operation: 27-20=7, Resulting Numbers: [18, 7]
Generated Node #0,2,2: 75:[18, 7] Operation: 27-20=7
Moving to Node #0,0
Current State: 75:[32, 20, 77], Operations: ['18+59=77']
Exploring Operation: 32-20=12, Resulting Numbers: [77, 12]
Generated Node #0,0,0: 75:[77, 12] Operation: 32-20=12
Exploring Operation: 77-32=45, Resulting Numbers: [20, 45]
Generated Node #0,0,1: 75:[20, 45] Operation: 77-32=45
Exploring Operation: 32+20=52, Resulting Numbers: [77, 52]
Generated Node #0,0,2: 75:[77, 52] Operation: 32+20=52
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[77, 12], Operations: ['18+59=77', '32-20=12']
Exploring Operation: 77*12=924, Resulting Numbers: [924]
924,75 unequal: No Solution
Exploring Operation: 77-12=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Exploring Operation: 77+12=89, Resulting Numbers: [89]
89,75 unequal: No Solution
No 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: 75:[20, 45], Operations: ['18+59=77', '77-32=45']
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Exploring Operation: 20*45=900, Resulting Numbers: [900]
900,75 unequal: No Solution
Exploring Operation: 20+45=65, Resulting Numbers: [65]
65,75 unequal: No Solution
No 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: 75:[77, 52], Operations: ['18+59=77', '32+20=52']
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Exploring Operation: 77*52=4004, Resulting Numbers: [4004]
4004,75 unequal: No Solution
Exploring Operation: 77+52=129, Resulting Numbers: [129]
129,75 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: 75:[18, 32, 79], Operations: ['59+20=79']
Exploring Operation: 79-18=61, Resulting Numbers: [32, 61]
Generated Node #0,1,0: 75:[32, 61] Operation: 79-18=61
Exploring Operation: 79-32=47, Resulting Numbers: [18, 47]
Generated Node #0,1,1: 75:[18, 47] Operation: 79-32=47
Exploring Operation: 32-18=14, Resulting Numbers: [79, 14]
Generated Node #0,1,2: 75:[79, 14] Operation: 32-18=14
Moving to Node #0,2,1
Current State: 75:[27, 2], Operations: ['59-32=27', '20-18=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,75 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[18, 7], Operations: ['59-32=27', '27-20=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,75 unequal: No Solution
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[79, 14], Operations: ['59+20=79', '32-18=14']
Exploring Operation: 79+14=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Exploring Operation: 79*14=1106, Resulting Numbers: [1106]
1106,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[20, 9], Operations: ['59-32=27', '27-18=9']
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,75 unequal: No Solution
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,75 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[32, 61], Operations: ['59+20=79', '79-18=61']
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,75 unequal: No Solution
Exploring Operation: 32*61=1952, Resulting Numbers: [1952]
1952,75 unequal: No Solution
Exploring Operation: 32+61=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[18, 47], Operations: ['59+20=79', '79-32=47']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,75 unequal: No Solution
Exploring Operation: 18*47=846, Resulting Numbers: [846]
846,75 unequal: No Solution
Exploring Operation: 18+47=65, Resulting Numbers: [65]
65,75 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
52,
26,
2,
45
] | 35 | [
"52+26=78",
"45-2=43",
"78-43=35"
] | Current State: 35:[52, 26, 2, 45], Operations: []
Exploring Operation: 52+26=78, Resulting Numbers: [2, 45, 78]
Generated Node #2: [2, 45, 78] from Operation: 52+26=78
Current State: 35:[2, 45, 78], Operations: ['52+26=78']
Exploring Operation: 45-2=43, Resulting Numbers: [78, 43]
Generated Node #3: [78, 43] from Operation: 45-2=43
Current State: 35:[78, 43], Operations: ['52+26=78', '45-2=43']
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[52, 26, 2, 45], Operations: []
Exploring Operation: 52-45=7, Resulting Numbers: [26, 2, 7]
Generated Node #0,0: 35:[26, 2, 7] Operation: 52-45=7
Exploring Operation: 52/26=2, Resulting Numbers: [2, 45, 2]
Generated Node #0,1: 35:[2, 45, 2] Operation: 52/26=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[26, 2, 7], Operations: ['52-45=7']
Exploring Operation: 26/2=13, Resulting Numbers: [7, 13]
Generated Node #0,0,0: 35:[7, 13] Operation: 26/2=13
Exploring Operation: 26+7=33, Resulting Numbers: [2, 33]
Generated Node #0,0,1: 35:[2, 33] Operation: 26+7=33
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[2, 33], Operations: ['52-45=7', '26+7=33']
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[52, 26, 2, 45], Operations: []
Exploring Operation: 52-45=7, Resulting Numbers: [26, 2, 7]
Generated Node #0,0: 35:[26, 2, 7] Operation: 52-45=7
Moving to Node #0,0
Current State: 35:[26, 2, 7], Operations: ['52-45=7']
Exploring Operation: 26+7=33, Resulting Numbers: [2, 33]
Generated Node #0,0,1: 35:[2, 33] Operation: 26+7=33
Moving to Node #0,0,1
Current State: 35:[2, 33], Operations: ['52-45=7', '26+7=33']
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
32,
4,
22,
60
] | 54 | [
"32-4=28",
"22+60=82",
"82-28=54"
] | Current State: 54:[32, 4, 22, 60], Operations: []
Exploring Operation: 32-4=28, Resulting Numbers: [22, 60, 28]
Generated Node #2: [22, 60, 28] from Operation: 32-4=28
Current State: 54:[22, 60, 28], Operations: ['32-4=28']
Exploring Operation: 22+60=82, Resulting Numbers: [28, 82]
Generated Node #3: [28, 82] from Operation: 22+60=82
Current State: 54:[28, 82], Operations: ['32-4=28', '22+60=82']
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[32, 4, 22, 60], Operations: []
Exploring Operation: 32/4=8, Resulting Numbers: [22, 60, 8]
Generated Node #0,0: 54:[22, 60, 8] Operation: 32/4=8
Exploring Operation: 32+22=54, Resulting Numbers: [4, 60, 54]
Generated Node #0,1: 54:[4, 60, 54] Operation: 32+22=54
Exploring Operation: 32-4=28, Resulting Numbers: [22, 60, 28]
Generated Node #0,2: 54:[22, 60, 28] Operation: 32-4=28
Exploring Operation: 60-32=28, Resulting Numbers: [4, 22, 28]
Generated Node #0,3: 54:[4, 22, 28] Operation: 60-32=28
Exploring Operation: 32-22=10, Resulting Numbers: [4, 60, 10]
Generated Node #0,4: 54:[4, 60, 10] Operation: 32-22=10
Moving to Node #0,3
Current State: 54:[4, 22, 28], Operations: ['60-32=28']
Exploring Operation: 4+22=26, Resulting Numbers: [28, 26]
Generated Node #0,3,0: 54:[28, 26] Operation: 4+22=26
Exploring Operation: 28/4=7, Resulting Numbers: [22, 7]
Generated Node #0,3,1: 54:[22, 7] Operation: 28/4=7
Exploring Operation: 28-22=6, Resulting Numbers: [4, 6]
Generated Node #0,3,2: 54:[4, 6] Operation: 28-22=6
Exploring Operation: 22-4=18, Resulting Numbers: [28, 18]
Generated Node #0,3,3: 54:[28, 18] Operation: 22-4=18
Exploring Operation: 22+28=50, Resulting Numbers: [4, 50]
Generated Node #0,3,4: 54:[4, 50] Operation: 22+28=50
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 54:[4, 6], Operations: ['60-32=28', '28-22=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,54 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:[28, 18], Operations: ['60-32=28', '22-4=18']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,54 unequal: No Solution
Exploring Operation: 28*18=504, Resulting Numbers: [504]
504,54 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 #0,3,0
Current State: 54:[28, 26], Operations: ['60-32=28', '4+22=26']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 28*26=728, Resulting Numbers: [728]
728,54 unequal: No Solution
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[32, 4, 22, 60], Operations: []
Exploring Operation: 60-32=28, Resulting Numbers: [4, 22, 28]
Generated Node #0,3: 54:[4, 22, 28] Operation: 60-32=28
Moving to Node #0,3
Current State: 54:[4, 22, 28], Operations: ['60-32=28']
Exploring Operation: 4+22=26, Resulting Numbers: [28, 26]
Generated Node #0,3,0: 54:[28, 26] Operation: 4+22=26
Moving to Node #0,3,0
Current State: 54:[28, 26], Operations: ['60-32=28', '4+22=26']
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
36,
30,
34,
50
] | 26 | [
"36*50=1800",
"1800/30=60",
"60-34=26"
] | Current State: 26:[36, 30, 34, 50], Operations: []
Exploring Operation: 36*50=1800, Resulting Numbers: [30, 34, 1800]
Generated Node #2: [30, 34, 1800] from Operation: 36*50=1800
Current State: 26:[30, 34, 1800], Operations: ['36*50=1800']
Exploring Operation: 1800/30=60, Resulting Numbers: [34, 60]
Generated Node #3: [34, 60] from Operation: 1800/30=60
Current State: 26:[34, 60], Operations: ['36*50=1800', '1800/30=60']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[36, 30, 34, 50], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [36, 30, 16]
Generated Node #0,0: 26:[36, 30, 16] Operation: 50-34=16
Exploring Operation: 50-36=14, Resulting Numbers: [30, 34, 14]
Generated Node #0,1: 26:[30, 34, 14] Operation: 50-36=14
Exploring Operation: 50-30=20, Resulting Numbers: [36, 34, 20]
Generated Node #0,2: 26:[36, 34, 20] Operation: 50-30=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[30, 34, 14], Operations: ['50-36=14']
Exploring Operation: 34-30=4, Resulting Numbers: [14, 4]
Generated Node #0,1,0: 26:[14, 4] Operation: 34-30=4
Exploring Operation: 34-14=20, Resulting Numbers: [30, 20]
Generated Node #0,1,1: 26:[30, 20] Operation: 34-14=20
Exploring Operation: 30-14=16, Resulting Numbers: [34, 16]
Generated Node #0,1,2: 26:[34, 16] Operation: 30-14=16
Moving to Node #0,1,0
Current State: 26:[14, 4], Operations: ['50-36=14', '34-30=4']
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,26 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[30, 20], Operations: ['50-36=14', '34-14=20']
Exploring Operation: 30+20=50, Resulting Numbers: [50]
50,26 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 30*20=600, Resulting Numbers: [600]
600,26 unequal: No Solution
Moving to Node #0,1,2
Current State: 26:[34, 16], Operations: ['50-36=14', '30-14=16']
Exploring Operation: 34+16=50, Resulting Numbers: [50]
50,26 unequal: No Solution
Exploring Operation: 34*16=544, Resulting Numbers: [544]
544,26 unequal: No Solution
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[36, 30, 16], Operations: ['50-34=16']
Exploring Operation: 30-16=14, Resulting Numbers: [36, 14]
Generated Node #0,0,0: 26:[36, 14] Operation: 30-16=14
Exploring Operation: 36-30=6, Resulting Numbers: [16, 6]
Generated Node #0,0,1: 26:[16, 6] Operation: 36-30=6
Exploring Operation: 36-16=20, Resulting Numbers: [30, 20]
Generated Node #0,0,2: 26:[30, 20] Operation: 36-16=20
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 26:[16, 6], Operations: ['50-34=16', '36-30=6']
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,26 unequal: No Solution
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,26 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,26 unequal: No Solution
No 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: 26:[30, 20], Operations: ['50-34=16', '36-16=20']
Exploring Operation: 30*20=600, Resulting Numbers: [600]
600,26 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 30+20=50, Resulting Numbers: [50]
50,26 unequal: No Solution
No 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: 26:[36, 14], Operations: ['50-34=16', '30-16=14']
Exploring Operation: 36+14=50, Resulting Numbers: [50]
50,26 unequal: No Solution
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,26 unequal: No Solution
Exploring Operation: 36*14=504, Resulting Numbers: [504]
504,26 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: 26:[36, 34, 20], Operations: ['50-30=20']
Exploring Operation: 36-20=16, Resulting Numbers: [34, 16]
Generated Node #0,2,0: 26:[34, 16] Operation: 36-20=16
Exploring Operation: 36-34=2, Resulting Numbers: [20, 2]
Generated Node #0,2,1: 26:[20, 2] Operation: 36-34=2
Exploring Operation: 34-20=14, Resulting Numbers: [36, 14]
Generated Node #0,2,2: 26:[36, 14] Operation: 34-20=14
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 26:[20, 2], Operations: ['50-30=20', '36-34=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,26 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,26 unequal: No Solution
No 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: 26:[34, 16], Operations: ['50-30=20', '36-20=16']
Exploring Operation: 34*16=544, Resulting Numbers: [544]
544,26 unequal: No Solution
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 34+16=50, Resulting Numbers: [50]
50,26 unequal: No Solution
No 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: 26:[36, 14], Operations: ['50-30=20', '34-20=14']
Exploring Operation: 36*14=504, Resulting Numbers: [504]
504,26 unequal: No Solution
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,26 unequal: No Solution
Exploring Operation: 36+14=50, Resulting Numbers: [50]
50,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
6,
58,
25,
4
] | 16 | [
"58-4=54",
"54/6=9",
"25-9=16"
] | Current State: 16:[6, 58, 25, 4], Operations: []
Exploring Operation: 58-4=54, Resulting Numbers: [6, 25, 54]
Generated Node #2: [6, 25, 54] from Operation: 58-4=54
Current State: 16:[6, 25, 54], Operations: ['58-4=54']
Exploring Operation: 54/6=9, Resulting Numbers: [25, 9]
Generated Node #3: [25, 9] from Operation: 54/6=9
Current State: 16:[25, 9], Operations: ['58-4=54', '54/6=9']
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[6, 58, 25, 4], Operations: []
Exploring Operation: 58-6=52, Resulting Numbers: [25, 4, 52]
Generated Node #0,0: 16:[25, 4, 52] Operation: 58-6=52
Exploring Operation: 25-6=19, Resulting Numbers: [58, 4, 19]
Generated Node #0,1: 16:[58, 4, 19] Operation: 25-6=19
Exploring Operation: 58-25=33, Resulting Numbers: [6, 4, 33]
Generated Node #0,2: 16:[6, 4, 33] Operation: 58-25=33
Moving to Node #0,2
Current State: 16:[6, 4, 33], Operations: ['58-25=33']
Exploring Operation: 33-4=29, Resulting Numbers: [6, 29]
Generated Node #0,2,0: 16:[6, 29] Operation: 33-4=29
Exploring Operation: 33-6=27, Resulting Numbers: [4, 27]
Generated Node #0,2,1: 16:[4, 27] Operation: 33-6=27
Exploring Operation: 6-4=2, Resulting Numbers: [33, 2]
Generated Node #0,2,2: 16:[33, 2] Operation: 6-4=2
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 16:[4, 27], Operations: ['58-25=33', '33-6=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,16 unequal: No Solution
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,16 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 16:[6, 29], Operations: ['58-25=33', '33-4=29']
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,16 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 16:[33, 2], Operations: ['58-25=33', '6-4=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,16 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,16 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,16 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: 16:[25, 4, 52], Operations: ['58-6=52']
Exploring Operation: 52-25=27, Resulting Numbers: [4, 27]
Generated Node #0,0,0: 16:[4, 27] Operation: 52-25=27
Exploring Operation: 25-4=21, Resulting Numbers: [52, 21]
Generated Node #0,0,1: 16:[52, 21] Operation: 25-4=21
Exploring Operation: 52/4=13, Resulting Numbers: [25, 13]
Generated Node #0,0,2: 16:[25, 13] Operation: 52/4=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[4, 27], Operations: ['58-6=52', '52-25=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,16 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,16 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 16:[25, 13], Operations: ['58-6=52', '52/4=13']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,16 unequal: No Solution
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[52, 21], Operations: ['58-6=52', '25-4=21']
Exploring Operation: 52*21=1092, Resulting Numbers: [1092]
1092,16 unequal: No Solution
Exploring Operation: 52+21=73, Resulting Numbers: [73]
73,16 unequal: No Solution
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 16:[58, 4, 19], Operations: ['25-6=19']
Exploring Operation: 58-4=54, Resulting Numbers: [19, 54]
Generated Node #0,1,0: 16:[19, 54] Operation: 58-4=54
Exploring Operation: 58-19=39, Resulting Numbers: [4, 39]
Generated Node #0,1,1: 16:[4, 39] Operation: 58-19=39
Exploring Operation: 19-4=15, Resulting Numbers: [58, 15]
Generated Node #0,1,2: 16:[58, 15] Operation: 19-4=15
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 16:[4, 39], Operations: ['25-6=19', '58-19=39']
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,16 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[19, 54], Operations: ['25-6=19', '58-4=54']
Exploring Operation: 19*54=1026, Resulting Numbers: [1026]
1026,16 unequal: No Solution
Exploring Operation: 19+54=73, Resulting Numbers: [73]
73,16 unequal: No Solution
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 16:[58, 15], Operations: ['25-6=19', '19-4=15']
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 58*15=870, Resulting Numbers: [870]
870,16 unequal: No Solution
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
85,
11,
23,
81
] | 67 | [
"85-81=4",
"11*4=44",
"23+44=67"
] | Current State: 67:[85, 11, 23, 81], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [11, 23, 4]
Generated Node #2: [11, 23, 4] from Operation: 85-81=4
Current State: 67:[11, 23, 4], Operations: ['85-81=4']
Exploring Operation: 11*4=44, Resulting Numbers: [23, 44]
Generated Node #3: [23, 44] from Operation: 11*4=44
Current State: 67:[23, 44], Operations: ['85-81=4', '11*4=44']
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[85, 11, 23, 81], Operations: []
Exploring Operation: 11+23=34, Resulting Numbers: [85, 81, 34]
Generated Node #0,0: 67:[85, 81, 34] Operation: 11+23=34
Exploring Operation: 81-11=70, Resulting Numbers: [85, 23, 70]
Generated Node #0,1: 67:[85, 23, 70] Operation: 81-11=70
Exploring Operation: 85-23=62, Resulting Numbers: [11, 81, 62]
Generated Node #0,2: 67:[11, 81, 62] Operation: 85-23=62
Exploring Operation: 81-23=58, Resulting Numbers: [85, 11, 58]
Generated Node #0,3: 67:[85, 11, 58] Operation: 81-23=58
Exploring Operation: 85-11=74, Resulting Numbers: [23, 81, 74]
Generated Node #0,4: 67:[23, 81, 74] Operation: 85-11=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[85, 81, 34], Operations: ['11+23=34']
Exploring Operation: 85+34=119, Resulting Numbers: [81, 119]
Generated Node #0,0,0: 67:[81, 119] Operation: 85+34=119
Exploring Operation: 85-81=4, Resulting Numbers: [34, 4]
Generated Node #0,0,1: 67:[34, 4] Operation: 85-81=4
Exploring Operation: 81-34=47, Resulting Numbers: [85, 47]
Generated Node #0,0,2: 67:[85, 47] Operation: 81-34=47
Exploring Operation: 85-34=51, Resulting Numbers: [81, 51]
Generated Node #0,0,3: 67:[81, 51] Operation: 85-34=51
Exploring Operation: 81+34=115, Resulting Numbers: [85, 115]
Generated Node #0,0,4: 67:[85, 115] Operation: 81+34=115
Moving to Node #0,0,3
Current State: 67:[81, 51], Operations: ['11+23=34', '85-34=51']
Exploring Operation: 81+51=132, Resulting Numbers: [132]
132,67 unequal: No Solution
Exploring Operation: 81-51=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 81*51=4131, Resulting Numbers: [4131]
4131,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[85, 47], Operations: ['11+23=34', '81-34=47']
Exploring Operation: 85+47=132, Resulting Numbers: [132]
132,67 unequal: No Solution
Exploring Operation: 85-47=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 85*47=3995, Resulting Numbers: [3995]
3995,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[81, 119], Operations: ['11+23=34', '85+34=119']
Exploring Operation: 81*119=9639, Resulting Numbers: [9639]
9639,67 unequal: No Solution
Exploring Operation: 81+119=200, Resulting Numbers: [200]
200,67 unequal: No Solution
Exploring Operation: 119-81=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Moving to Node #0,0,4
Current State: 67:[85, 115], Operations: ['11+23=34', '81+34=115']
Exploring Operation: 115-85=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 85*115=9775, Resulting Numbers: [9775]
9775,67 unequal: No Solution
Exploring Operation: 85+115=200, Resulting Numbers: [200]
200,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[34, 4], Operations: ['11+23=34', '85-81=4']
Exploring Operation: 34*4=136, Resulting Numbers: [136]
136,67 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,67 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:[85, 23, 70], Operations: ['81-11=70']
Exploring Operation: 85+23=108, Resulting Numbers: [70, 108]
Generated Node #0,1,0: 67:[70, 108] Operation: 85+23=108
Exploring Operation: 85-70=15, Resulting Numbers: [23, 15]
Generated Node #0,1,1: 67:[23, 15] Operation: 85-70=15
Exploring Operation: 85-23=62, Resulting Numbers: [70, 62]
Generated Node #0,1,2: 67:[70, 62] Operation: 85-23=62
Exploring Operation: 70-23=47, Resulting Numbers: [85, 47]
Generated Node #0,1,3: 67:[85, 47] Operation: 70-23=47
Exploring Operation: 23+70=93, Resulting Numbers: [85, 93]
Generated Node #0,1,4: 67:[85, 93] Operation: 23+70=93
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[70, 62], Operations: ['81-11=70', '85-23=62']
Exploring Operation: 70+62=132, Resulting Numbers: [132]
132,67 unequal: No Solution
Exploring Operation: 70-62=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Exploring Operation: 70*62=4340, Resulting Numbers: [4340]
4340,67 unequal: No Solution
No 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: 67:[85, 47], Operations: ['81-11=70', '70-23=47']
Exploring Operation: 85+47=132, Resulting Numbers: [132]
132,67 unequal: No Solution
Exploring Operation: 85*47=3995, Resulting Numbers: [3995]
3995,67 unequal: No Solution
Exploring Operation: 85-47=38, Resulting Numbers: [38]
38,67 unequal: No Solution
No 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: 67:[70, 108], Operations: ['81-11=70', '85+23=108']
Exploring Operation: 70*108=7560, Resulting Numbers: [7560]
7560,67 unequal: No Solution
Exploring Operation: 108-70=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 70+108=178, Resulting Numbers: [178]
178,67 unequal: No Solution
No 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: 67:[85, 93], Operations: ['81-11=70', '23+70=93']
Exploring Operation: 93-85=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Exploring Operation: 85*93=7905, Resulting Numbers: [7905]
7905,67 unequal: No Solution
Exploring Operation: 85+93=178, Resulting Numbers: [178]
178,67 unequal: No Solution
No 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: 67:[23, 15], Operations: ['81-11=70', '85-70=15']
Exploring Operation: 23*15=345, Resulting Numbers: [345]
345,67 unequal: No Solution
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,67 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: 67:[23, 81, 74], Operations: ['85-11=74']
Exploring Operation: 23+74=97, Resulting Numbers: [81, 97]
Generated Node #0,4,0: 67:[81, 97] Operation: 23+74=97
Exploring Operation: 81-74=7, Resulting Numbers: [23, 7]
Generated Node #0,4,1: 67:[23, 7] Operation: 81-74=7
Exploring Operation: 74-23=51, Resulting Numbers: [81, 51]
Generated Node #0,4,2: 67:[81, 51] Operation: 74-23=51
Exploring Operation: 23+81=104, Resulting Numbers: [74, 104]
Generated Node #0,4,3: 67:[74, 104] Operation: 23+81=104
Exploring Operation: 81-23=58, Resulting Numbers: [74, 58]
Generated Node #0,4,4: 67:[74, 58] Operation: 81-23=58
Moving to Node #0,4,4
Current State: 67:[74, 58], Operations: ['85-11=74', '81-23=58']
Exploring Operation: 74*58=4292, Resulting Numbers: [4292]
4292,67 unequal: No Solution
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Exploring Operation: 74+58=132, Resulting Numbers: [132]
132,67 unequal: No Solution
Moving to Node #0,4,2
Current State: 67:[81, 51], Operations: ['85-11=74', '74-23=51']
Exploring Operation: 81*51=4131, Resulting Numbers: [4131]
4131,67 unequal: No Solution
Exploring Operation: 81+51=132, Resulting Numbers: [132]
132,67 unequal: No Solution
Exploring Operation: 81-51=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Moving to Node #0,4,0
Current State: 67:[81, 97], Operations: ['85-11=74', '23+74=97']
Exploring Operation: 81*97=7857, Resulting Numbers: [7857]
7857,67 unequal: No Solution
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Exploring Operation: 81+97=178, Resulting Numbers: [178]
178,67 unequal: No Solution
Moving to Node #0,4,3
Current State: 67:[74, 104], Operations: ['85-11=74', '23+81=104']
Exploring Operation: 74+104=178, Resulting Numbers: [178]
178,67 unequal: No Solution
Exploring Operation: 74*104=7696, Resulting Numbers: [7696]
7696,67 unequal: No Solution
Exploring Operation: 104-74=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Moving to Node #0,4,1
Current State: 67:[23, 7], Operations: ['85-11=74', '81-74=7']
Exploring Operation: 23*7=161, Resulting Numbers: [161]
161,67 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[11, 81, 62], Operations: ['85-23=62']
Exploring Operation: 11+81=92, Resulting Numbers: [62, 92]
Generated Node #0,2,0: 67:[62, 92] Operation: 11+81=92
Exploring Operation: 11+62=73, Resulting Numbers: [81, 73]
Generated Node #0,2,1: 67:[81, 73] Operation: 11+62=73
Exploring Operation: 62-11=51, Resulting Numbers: [81, 51]
Generated Node #0,2,2: 67:[81, 51] Operation: 62-11=51
Exploring Operation: 81-11=70, Resulting Numbers: [62, 70]
Generated Node #0,2,3: 67:[62, 70] Operation: 81-11=70
Exploring Operation: 81-62=19, Resulting Numbers: [11, 19]
Generated Node #0,2,4: 67:[11, 19] Operation: 81-62=19
Moving to Node #0,2,3
Current State: 67:[62, 70], Operations: ['85-23=62', '81-11=70']
Exploring Operation: 70-62=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Exploring Operation: 62*70=4340, Resulting Numbers: [4340]
4340,67 unequal: No Solution
Exploring Operation: 62+70=132, Resulting Numbers: [132]
132,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[81, 73], Operations: ['85-23=62', '11+62=73']
Exploring Operation: 81+73=154, Resulting Numbers: [154]
154,67 unequal: No Solution
Exploring Operation: 81*73=5913, Resulting Numbers: [5913]
5913,67 unequal: No Solution
Exploring Operation: 81-73=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[62, 92], Operations: ['85-23=62', '11+81=92']
Exploring Operation: 62+92=154, Resulting Numbers: [154]
154,67 unequal: No Solution
Exploring Operation: 92-62=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 62*92=5704, Resulting Numbers: [5704]
5704,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[81, 51], Operations: ['85-23=62', '62-11=51']
Exploring Operation: 81+51=132, Resulting Numbers: [132]
132,67 unequal: No Solution
Exploring Operation: 81-51=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 81*51=4131, Resulting Numbers: [4131]
4131,67 unequal: No Solution
Moving to Node #0,2,4
Current State: 67:[11, 19], Operations: ['85-23=62', '81-62=19']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,67 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 #0,3
Current State: 67:[85, 11, 58], Operations: ['81-23=58']
Exploring Operation: 85-11=74, Resulting Numbers: [58, 74]
Generated Node #0,3,0: 67:[58, 74] Operation: 85-11=74
Exploring Operation: 85+11=96, Resulting Numbers: [58, 96]
Generated Node #0,3,1: 67:[58, 96] Operation: 85+11=96
Exploring Operation: 58-11=47, Resulting Numbers: [85, 47]
Generated Node #0,3,2: 67:[85, 47] Operation: 58-11=47
Exploring Operation: 85-58=27, Resulting Numbers: [11, 27]
Generated Node #0,3,3: 67:[11, 27] Operation: 85-58=27
Exploring Operation: 11+58=69, Resulting Numbers: [85, 69]
Generated Node #0,3,4: 67:[85, 69] Operation: 11+58=69
Moving to Node #0,3,0
Current State: 67:[58, 74], Operations: ['81-23=58', '85-11=74']
Exploring Operation: 58+74=132, Resulting Numbers: [132]
132,67 unequal: No Solution
Exploring Operation: 58*74=4292, Resulting Numbers: [4292]
4292,67 unequal: No Solution
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Moving to Node #0,3,4
Current State: 67:[85, 69], Operations: ['81-23=58', '11+58=69']
Exploring Operation: 85+69=154, Resulting Numbers: [154]
154,67 unequal: No Solution
Exploring Operation: 85*69=5865, Resulting Numbers: [5865]
5865,67 unequal: No Solution
Exploring Operation: 85-69=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[58, 96], Operations: ['81-23=58', '85+11=96']
Exploring Operation: 96-58=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 58+96=154, Resulting Numbers: [154]
154,67 unequal: No Solution
Exploring Operation: 58*96=5568, Resulting Numbers: [5568]
5568,67 unequal: No Solution
Moving to Node #0,3,2
Current State: 67:[85, 47], Operations: ['81-23=58', '58-11=47']
Exploring Operation: 85+47=132, Resulting Numbers: [132]
132,67 unequal: No Solution
Exploring Operation: 85*47=3995, Resulting Numbers: [3995]
3995,67 unequal: No Solution
Exploring Operation: 85-47=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[11, 27], Operations: ['81-23=58', '85-58=27']
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 11*27=297, Resulting Numbers: [297]
297,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
85,
11,
48,
46
] | 72 | [
"85-11=74",
"48-46=2",
"74-2=72"
] | Current State: 72:[85, 11, 48, 46], Operations: []
Exploring Operation: 85-11=74, Resulting Numbers: [48, 46, 74]
Generated Node #2: [48, 46, 74] from Operation: 85-11=74
Current State: 72:[48, 46, 74], Operations: ['85-11=74']
Exploring Operation: 48-46=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 48-46=2
Current State: 72:[74, 2], Operations: ['85-11=74', '48-46=2']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[85, 11, 48, 46], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [85, 11, 2]
Generated Node #0,0: 72:[85, 11, 2] Operation: 48-46=2
Exploring Operation: 85-48=37, Resulting Numbers: [11, 46, 37]
Generated Node #0,1: 72:[11, 46, 37] Operation: 85-48=37
Exploring Operation: 85-46=39, Resulting Numbers: [11, 48, 39]
Generated Node #0,2: 72:[11, 48, 39] Operation: 85-46=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[11, 46, 37], Operations: ['85-48=37']
Exploring Operation: 46-11=35, Resulting Numbers: [37, 35]
Generated Node #0,1,0: 72:[37, 35] Operation: 46-11=35
Exploring Operation: 46-37=9, Resulting Numbers: [11, 9]
Generated Node #0,1,1: 72:[11, 9] Operation: 46-37=9
Exploring Operation: 37-11=26, Resulting Numbers: [46, 26]
Generated Node #0,1,2: 72:[46, 26] Operation: 37-11=26
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 72:[11, 9], Operations: ['85-48=37', '46-37=9']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,72 unequal: No Solution
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 72:[37, 35], Operations: ['85-48=37', '46-11=35']
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Exploring Operation: 37*35=1295, Resulting Numbers: [1295]
1295,72 unequal: No Solution
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[85, 11, 48, 46], Operations: []
Exploring Operation: 85-48=37, Resulting Numbers: [11, 46, 37]
Generated Node #0,1: 72:[11, 46, 37] Operation: 85-48=37
Moving to Node #0,1
Current State: 72:[11, 46, 37], Operations: ['85-48=37']
Exploring Operation: 46-11=35, Resulting Numbers: [37, 35]
Generated Node #0,1,0: 72:[37, 35] Operation: 46-11=35
Moving to Node #0,1,0
Current State: 72:[37, 35], Operations: ['85-48=37', '46-11=35']
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
17,
78,
5,
37
] | 74 | [
"37-17=20",
"20/5=4",
"78-4=74"
] | Current State: 74:[17, 78, 5, 37], Operations: []
Exploring Operation: 37-17=20, Resulting Numbers: [78, 5, 20]
Generated Node #2: [78, 5, 20] from Operation: 37-17=20
Current State: 74:[78, 5, 20], Operations: ['37-17=20']
Exploring Operation: 20/5=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 20/5=4
Current State: 74:[78, 4], Operations: ['37-17=20', '20/5=4']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[17, 78, 5, 37], Operations: []
Exploring Operation: 78-17=61, Resulting Numbers: [5, 37, 61]
Generated Node #0,0: 74:[5, 37, 61] Operation: 78-17=61
Exploring Operation: 17*5=85, Resulting Numbers: [78, 37, 85]
Generated Node #0,1: 74:[78, 37, 85] Operation: 17*5=85
Exploring Operation: 17-5=12, Resulting Numbers: [78, 37, 12]
Generated Node #0,2: 74:[78, 37, 12] Operation: 17-5=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[78, 37, 12], Operations: ['17-5=12']
Exploring Operation: 78-37=41, Resulting Numbers: [12, 41]
Generated Node #0,2,0: 74:[12, 41] Operation: 78-37=41
Exploring Operation: 78+12=90, Resulting Numbers: [37, 90]
Generated Node #0,2,1: 74:[37, 90] Operation: 78+12=90
Exploring Operation: 78-12=66, Resulting Numbers: [37, 66]
Generated Node #0,2,2: 74:[37, 66] Operation: 78-12=66
Moving to Node #0,2,2
Current State: 74:[37, 66], Operations: ['17-5=12', '78-12=66']
Exploring Operation: 37*66=2442, Resulting Numbers: [2442]
2442,74 unequal: No Solution
Exploring Operation: 37+66=103, Resulting Numbers: [103]
103,74 unequal: No Solution
Exploring Operation: 66-37=29, Resulting Numbers: [29]
29,74 unequal: No Solution
Moving to Node #0,2,0
Current State: 74:[12, 41], Operations: ['17-5=12', '78-37=41']
Exploring Operation: 12+41=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Exploring Operation: 12*41=492, Resulting Numbers: [492]
492,74 unequal: No Solution
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[37, 90], Operations: ['17-5=12', '78+12=90']
Exploring Operation: 90-37=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Exploring Operation: 37+90=127, Resulting Numbers: [127]
127,74 unequal: No Solution
Exploring Operation: 37*90=3330, Resulting Numbers: [3330]
3330,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[78, 37, 85], Operations: ['17*5=85']
Exploring Operation: 85-37=48, Resulting Numbers: [78, 48]
Generated Node #0,1,0: 74:[78, 48] Operation: 85-37=48
Exploring Operation: 85-78=7, Resulting Numbers: [37, 7]
Generated Node #0,1,1: 74:[37, 7] Operation: 85-78=7
Exploring Operation: 78-37=41, Resulting Numbers: [85, 41]
Generated Node #0,1,2: 74:[85, 41] Operation: 78-37=41
Moving to Node #0,1,1
Current State: 74:[37, 7], Operations: ['17*5=85', '85-78=7']
Exploring Operation: 37*7=259, Resulting Numbers: [259]
259,74 unequal: No Solution
Exploring Operation: 37+7=44, Resulting Numbers: [44]
44,74 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,74 unequal: No Solution
Moving to Node #0,1,0
Current State: 74:[78, 48], Operations: ['17*5=85', '85-37=48']
Exploring Operation: 78+48=126, Resulting Numbers: [126]
126,74 unequal: No Solution
Exploring Operation: 78*48=3744, Resulting Numbers: [3744]
3744,74 unequal: No Solution
Exploring Operation: 78-48=30, Resulting Numbers: [30]
30,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[85, 41], Operations: ['17*5=85', '78-37=41']
Exploring Operation: 85+41=126, Resulting Numbers: [126]
126,74 unequal: No Solution
Exploring Operation: 85*41=3485, Resulting Numbers: [3485]
3485,74 unequal: No Solution
Exploring Operation: 85-41=44, Resulting Numbers: [44]
44,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[5, 37, 61], Operations: ['78-17=61']
Exploring Operation: 5+37=42, Resulting Numbers: [61, 42]
Generated Node #0,0,0: 74:[61, 42] Operation: 5+37=42
Exploring Operation: 5+61=66, Resulting Numbers: [37, 66]
Generated Node #0,0,1: 74:[37, 66] Operation: 5+61=66
Exploring Operation: 61-37=24, Resulting Numbers: [5, 24]
Generated Node #0,0,2: 74:[5, 24] Operation: 61-37=24
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[37, 66], Operations: ['78-17=61', '5+61=66']
Exploring Operation: 37*66=2442, Resulting Numbers: [2442]
2442,74 unequal: No Solution
Exploring Operation: 66-37=29, Resulting Numbers: [29]
29,74 unequal: No Solution
Exploring Operation: 37+66=103, Resulting Numbers: [103]
103,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 74:[5, 24], Operations: ['78-17=61', '61-37=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,74 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[61, 42], Operations: ['78-17=61', '5+37=42']
Exploring Operation: 61*42=2562, Resulting Numbers: [2562]
2562,74 unequal: No Solution
Exploring Operation: 61+42=103, Resulting Numbers: [103]
103,74 unequal: No Solution
Exploring Operation: 61-42=19, Resulting Numbers: [19]
19,74 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 |
[
1,
46,
46,
23
] | 44 | [
"1*46=46",
"46/23=2",
"46-2=44"
] | Current State: 44:[1, 46, 46, 23], Operations: []
Exploring Operation: 1*46=46, Resulting Numbers: [23, 46]
Generated Node #2: [23, 46] from Operation: 1*46=46
Current State: 44:[23, 46], Operations: ['1*46=46']
Exploring Operation: 46/23=2, Resulting Numbers: [2]
2,44 equal: Goal Reached
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[1, 46, 46, 23], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [1, 46, 2]
Generated Node #0,0: 44:[1, 46, 2] Operation: 46/23=2
Exploring Operation: 46/46=1, Resulting Numbers: [1, 23, 1]
Generated Node #0,1: 44:[1, 23, 1] Operation: 46/46=1
Exploring Operation: 46/23=2, Resulting Numbers: [1, 46, 2]
Generated Node #0,2: 44:[1, 46, 2] Operation: 46/23=2
Exploring Operation: 46-1=45, Resulting Numbers: [46, 23, 45]
Generated Node #0,3: 44:[46, 23, 45] Operation: 46-1=45
Moving to Node #0,0
Current State: 44:[1, 46, 2], Operations: ['46/23=2']
Exploring Operation: 46-1=45, Resulting Numbers: [2, 45]
Generated Node #0,0,0: 44:[2, 45] Operation: 46-1=45
Exploring Operation: 46/1=46, Resulting Numbers: [2, 46]
Generated Node #0,0,1: 44:[2, 46] Operation: 46/1=46
Exploring Operation: 1*46=46, Resulting Numbers: [2, 46]
Generated Node #0,0,2: 44:[2, 46] Operation: 1*46=46
Exploring Operation: 46-2=44, Resulting Numbers: [1, 44]
Generated Node #0,0,3: 44:[1, 44] Operation: 46-2=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[2, 45], Operations: ['46/23=2', '46-1=45']
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,44 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,44 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 44:[1, 44], Operations: ['46/23=2', '46-2=44']
Exploring Operation: 44/1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[1, 46, 46, 23], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [1, 46, 2]
Generated Node #0,0: 44:[1, 46, 2] Operation: 46/23=2
Moving to Node #0,0
Current State: 44:[1, 46, 2], Operations: ['46/23=2']
Exploring Operation: 46-2=44, Resulting Numbers: [1, 44]
Generated Node #0,0,3: 44:[1, 44] Operation: 46-2=44
Moving to Node #0,0,3
Current State: 44:[1, 44], Operations: ['46/23=2', '46-2=44']
Exploring Operation: 44/1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
5,
32,
37,
7
] | 34 | [
"5*7=35",
"32+37=69",
"69-35=34"
] | Current State: 34:[5, 32, 37, 7], Operations: []
Exploring Operation: 5*7=35, Resulting Numbers: [32, 37, 35]
Generated Node #2: [32, 37, 35] from Operation: 5*7=35
Current State: 34:[32, 37, 35], Operations: ['5*7=35']
Exploring Operation: 32+37=69, Resulting Numbers: [35, 69]
Generated Node #3: [35, 69] from Operation: 32+37=69
Current State: 34:[35, 69], Operations: ['5*7=35', '32+37=69']
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[5, 32, 37, 7], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [32, 37, 2]
Generated Node #0,0: 34:[32, 37, 2] Operation: 7-5=2
Exploring Operation: 5*7=35, Resulting Numbers: [32, 37, 35]
Generated Node #0,1: 34:[32, 37, 35] Operation: 5*7=35
Exploring Operation: 37-5=32, Resulting Numbers: [32, 7, 32]
Generated Node #0,2: 34:[32, 7, 32] Operation: 37-5=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[32, 37, 2], Operations: ['7-5=2']
Exploring Operation: 32+2=34, Resulting Numbers: [37, 34]
Generated Node #0,0,0: 34:[37, 34] Operation: 32+2=34
Exploring Operation: 37-32=5, Resulting Numbers: [2, 5]
Generated Node #0,0,1: 34:[2, 5] Operation: 37-32=5
Exploring Operation: 37-2=35, Resulting Numbers: [32, 35]
Generated Node #0,0,2: 34:[32, 35] Operation: 37-2=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 34:[37, 34], Operations: ['7-5=2', '32+2=34']
Exploring Operation: 37*34=1258, Resulting Numbers: [1258]
1258,34 unequal: No Solution
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 37+34=71, Resulting Numbers: [71]
71,34 unequal: No Solution
No 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: 34:[2, 5], Operations: ['7-5=2', '37-32=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,34 unequal: No Solution
No 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: 34:[32, 35], Operations: ['7-5=2', '37-2=35']
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 32*35=1120, Resulting Numbers: [1120]
1120,34 unequal: No Solution
Exploring Operation: 32+35=67, Resulting Numbers: [67]
67,34 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: 34:[32, 37, 35], Operations: ['5*7=35']
Exploring Operation: 37-32=5, Resulting Numbers: [35, 5]
Generated Node #0,1,0: 34:[35, 5] Operation: 37-32=5
Exploring Operation: 37-35=2, Resulting Numbers: [32, 2]
Generated Node #0,1,1: 34:[32, 2] Operation: 37-35=2
Exploring Operation: 35-32=3, Resulting Numbers: [37, 3]
Generated Node #0,1,2: 34:[37, 3] Operation: 35-32=3
Moving to Node #0,1,1
Current State: 34:[32, 2], Operations: ['5*7=35', '37-35=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,34 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[5, 32, 37, 7], Operations: []
Exploring Operation: 5*7=35, Resulting Numbers: [32, 37, 35]
Generated Node #0,1: 34:[32, 37, 35] Operation: 5*7=35
Moving to Node #0,1
Current State: 34:[32, 37, 35], Operations: ['5*7=35']
Exploring Operation: 37-35=2, Resulting Numbers: [32, 2]
Generated Node #0,1,1: 34:[32, 2] Operation: 37-35=2
Moving to Node #0,1,1
Current State: 34:[32, 2], Operations: ['5*7=35', '37-35=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
84,
83,
88,
29
] | 58 | [
"84-83=1",
"88-29=59",
"59-1=58"
] | Current State: 58:[84, 83, 88, 29], Operations: []
Exploring Operation: 84-83=1, Resulting Numbers: [88, 29, 1]
Generated Node #2: [88, 29, 1] from Operation: 84-83=1
Current State: 58:[88, 29, 1], Operations: ['84-83=1']
Exploring Operation: 88-29=59, Resulting Numbers: [1, 59]
Generated Node #3: [1, 59] from Operation: 88-29=59
Current State: 58:[1, 59], Operations: ['84-83=1', '88-29=59']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[84, 83, 88, 29], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [84, 29, 5]
Generated Node #0,0: 58:[84, 29, 5] Operation: 88-83=5
Exploring Operation: 84-83=1, Resulting Numbers: [88, 29, 1]
Generated Node #0,1: 58:[88, 29, 1] Operation: 84-83=1
Exploring Operation: 88-84=4, Resulting Numbers: [83, 29, 4]
Generated Node #0,2: 58:[83, 29, 4] Operation: 88-84=4
Exploring Operation: 88-29=59, Resulting Numbers: [84, 83, 59]
Generated Node #0,3: 58:[84, 83, 59] Operation: 88-29=59
Moving to Node #0,2
Current State: 58:[83, 29, 4], Operations: ['88-84=4']
Exploring Operation: 83-29=54, Resulting Numbers: [4, 54]
Generated Node #0,2,0: 58:[4, 54] Operation: 83-29=54
Exploring Operation: 83+4=87, Resulting Numbers: [29, 87]
Generated Node #0,2,1: 58:[29, 87] Operation: 83+4=87
Exploring Operation: 83-4=79, Resulting Numbers: [29, 79]
Generated Node #0,2,2: 58:[29, 79] Operation: 83-4=79
Exploring Operation: 29+4=33, Resulting Numbers: [83, 33]
Generated Node #0,2,3: 58:[83, 33] Operation: 29+4=33
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 58:[4, 54], Operations: ['88-84=4', '83-29=54']
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,58 unequal: No Solution
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[84, 83, 88, 29], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [83, 29, 4]
Generated Node #0,2: 58:[83, 29, 4] Operation: 88-84=4
Moving to Node #0,2
Current State: 58:[83, 29, 4], Operations: ['88-84=4']
Exploring Operation: 83-29=54, Resulting Numbers: [4, 54]
Generated Node #0,2,0: 58:[4, 54] Operation: 83-29=54
Moving to Node #0,2,0
Current State: 58:[4, 54], Operations: ['88-84=4', '83-29=54']
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
86,
92,
14,
47
] | 67 | [
"92-86=6",
"14+47=61",
"6+61=67"
] | Current State: 67:[86, 92, 14, 47], Operations: []
Exploring Operation: 92-86=6, Resulting Numbers: [14, 47, 6]
Generated Node #2: [14, 47, 6] from Operation: 92-86=6
Current State: 67:[14, 47, 6], Operations: ['92-86=6']
Exploring Operation: 14+47=61, Resulting Numbers: [6, 61]
Generated Node #3: [6, 61] from Operation: 14+47=61
Current State: 67:[6, 61], Operations: ['92-86=6', '14+47=61']
Exploring Operation: 6+61=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[86, 92, 14, 47], Operations: []
Exploring Operation: 86-14=72, Resulting Numbers: [92, 47, 72]
Generated Node #0,0: 67:[92, 47, 72] Operation: 86-14=72
Exploring Operation: 92-14=78, Resulting Numbers: [86, 47, 78]
Generated Node #0,1: 67:[86, 47, 78] Operation: 92-14=78
Moving to Node #0,0
Current State: 67:[92, 47, 72], Operations: ['86-14=72']
Exploring Operation: 92-72=20, Resulting Numbers: [47, 20]
Generated Node #0,0,0: 67:[47, 20] Operation: 92-72=20
Exploring Operation: 92-47=45, Resulting Numbers: [72, 45]
Generated Node #0,0,1: 67:[72, 45] Operation: 92-47=45
Moving to Node #0,1
Current State: 67:[86, 47, 78], Operations: ['92-14=78']
Exploring Operation: 86-47=39, Resulting Numbers: [78, 39]
Generated Node #0,1,0: 67:[78, 39] Operation: 86-47=39
Exploring Operation: 78-47=31, Resulting Numbers: [86, 31]
Generated Node #0,1,1: 67:[86, 31] Operation: 78-47=31
Moving to Node #0,0,1
Current State: 67:[72, 45], Operations: ['86-14=72', '92-47=45']
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,67 unequal: No Solution
Exploring Operation: 72+45=117, Resulting Numbers: [117]
117,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[78, 39], Operations: ['92-14=78', '86-47=39']
Exploring Operation: 78+39=117, Resulting Numbers: [117]
117,67 unequal: No Solution
Exploring Operation: 78-39=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[86, 31], Operations: ['92-14=78', '78-47=31']
Exploring Operation: 86+31=117, Resulting Numbers: [117]
117,67 unequal: No Solution
Exploring Operation: 86-31=55, Resulting Numbers: [55]
55,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[47, 20], Operations: ['86-14=72', '92-72=20']
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[86, 92, 14, 47], Operations: []
Exploring Operation: 86-14=72, Resulting Numbers: [92, 47, 72]
Generated Node #0,0: 67:[92, 47, 72] Operation: 86-14=72
Moving to Node #0,0
Current State: 67:[92, 47, 72], Operations: ['86-14=72']
Exploring Operation: 92-72=20, Resulting Numbers: [47, 20]
Generated Node #0,0,0: 67:[47, 20] Operation: 92-72=20
Moving to Node #0,0,0
Current State: 67:[47, 20], Operations: ['86-14=72', '92-72=20']
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 0.985243 | hs_2 | mult_heuristic |
[
15,
48,
65,
97
] | 10 | [
"97-65=32",
"15*32=480",
"480/48=10"
] | Current State: 10:[15, 48, 65, 97], Operations: []
Exploring Operation: 97-65=32, Resulting Numbers: [15, 48, 32]
Generated Node #2: [15, 48, 32] from Operation: 97-65=32
Current State: 10:[15, 48, 32], Operations: ['97-65=32']
Exploring Operation: 15*32=480, Resulting Numbers: [48, 480]
Generated Node #3: [48, 480] from Operation: 15*32=480
Current State: 10:[48, 480], Operations: ['97-65=32', '15*32=480']
Exploring Operation: 480/48=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[15, 48, 65, 97], Operations: []
Exploring Operation: 48-15=33, Resulting Numbers: [65, 97, 33]
Generated Node #0,0: 10:[65, 97, 33] Operation: 48-15=33
Exploring Operation: 97-48=49, Resulting Numbers: [15, 65, 49]
Generated Node #0,1: 10:[15, 65, 49] Operation: 97-48=49
Exploring Operation: 97-65=32, Resulting Numbers: [15, 48, 32]
Generated Node #0,2: 10:[15, 48, 32] Operation: 97-65=32
Exploring Operation: 65-15=50, Resulting Numbers: [48, 97, 50]
Generated Node #0,3: 10:[48, 97, 50] Operation: 65-15=50
Exploring Operation: 65-48=17, Resulting Numbers: [15, 97, 17]
Generated Node #0,4: 10:[15, 97, 17] Operation: 65-48=17
Moving to Node #0,2
Current State: 10:[15, 48, 32], Operations: ['97-65=32']
Exploring Operation: 15+32=47, Resulting Numbers: [48, 47]
Generated Node #0,2,0: 10:[48, 47] Operation: 15+32=47
Exploring Operation: 48-32=16, Resulting Numbers: [15, 16]
Generated Node #0,2,1: 10:[15, 16] Operation: 48-32=16
Exploring Operation: 15+48=63, Resulting Numbers: [32, 63]
Generated Node #0,2,2: 10:[32, 63] Operation: 15+48=63
Exploring Operation: 32-15=17, Resulting Numbers: [48, 17]
Generated Node #0,2,3: 10:[48, 17] Operation: 32-15=17
Exploring Operation: 48-15=33, Resulting Numbers: [32, 33]
Generated Node #0,2,4: 10:[32, 33] Operation: 48-15=33
Moving to Node #0,4
Current State: 10:[15, 97, 17], Operations: ['65-48=17']
Exploring Operation: 17-15=2, Resulting Numbers: [97, 2]
Generated Node #0,4,0: 10:[97, 2] Operation: 17-15=2
Exploring Operation: 97-15=82, Resulting Numbers: [17, 82]
Generated Node #0,4,1: 10:[17, 82] Operation: 97-15=82
Exploring Operation: 15+17=32, Resulting Numbers: [97, 32]
Generated Node #0,4,2: 10:[97, 32] Operation: 15+17=32
Exploring Operation: 97-17=80, Resulting Numbers: [15, 80]
Generated Node #0,4,3: 10:[15, 80] Operation: 97-17=80
Exploring Operation: 15+97=112, Resulting Numbers: [17, 112]
Generated Node #0,4,4: 10:[17, 112] Operation: 15+97=112
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 10:[15, 80], Operations: ['65-48=17', '97-17=80']
Exploring Operation: 15*80=1200, Resulting Numbers: [1200]
1200,10 unequal: No Solution
Exploring Operation: 15+80=95, Resulting Numbers: [95]
95,10 unequal: No Solution
Exploring Operation: 80-15=65, Resulting Numbers: [65]
65,10 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 #0,4,1
Current State: 10:[17, 82], Operations: ['65-48=17', '97-15=82']
Exploring Operation: 17+82=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 17*82=1394, Resulting Numbers: [1394]
1394,10 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 #0,4,0
Current State: 10:[97, 2], Operations: ['65-48=17', '17-15=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,10 unequal: No Solution
Exploring Operation: 97*2=194, Resulting Numbers: [194]
194,10 unequal: No Solution
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,10 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 #0,4,2
Current State: 10:[97, 32], Operations: ['65-48=17', '15+17=32']
Exploring Operation: 97+32=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 97*32=3104, Resulting Numbers: [3104]
3104,10 unequal: No Solution
Exploring Operation: 97-32=65, Resulting Numbers: [65]
65,10 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 #0,4,4
Current State: 10:[17, 112], Operations: ['65-48=17', '15+97=112']
Exploring Operation: 112-17=95, Resulting Numbers: [95]
95,10 unequal: No Solution
Exploring Operation: 17+112=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 17*112=1904, Resulting Numbers: [1904]
1904,10 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:[15, 65, 49], Operations: ['97-48=49']
Exploring Operation: 65-49=16, Resulting Numbers: [15, 16]
Generated Node #0,1,0: 10:[15, 16] Operation: 65-49=16
Exploring Operation: 15+49=64, Resulting Numbers: [65, 64]
Generated Node #0,1,1: 10:[65, 64] Operation: 15+49=64
Exploring Operation: 65-15=50, Resulting Numbers: [49, 50]
Generated Node #0,1,2: 10:[49, 50] Operation: 65-15=50
Exploring Operation: 15+65=80, Resulting Numbers: [49, 80]
Generated Node #0,1,3: 10:[49, 80] Operation: 15+65=80
Exploring Operation: 49-15=34, Resulting Numbers: [65, 34]
Generated Node #0,1,4: 10:[65, 34] Operation: 49-15=34
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[15, 16], Operations: ['97-48=49', '65-49=16']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,10 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 #0,1,2
Current State: 10:[49, 50], Operations: ['97-48=49', '65-15=50']
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 49+50=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 49*50=2450, Resulting Numbers: [2450]
2450,10 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:[65, 34], Operations: ['97-48=49', '49-15=34']
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Exploring Operation: 65*34=2210, Resulting Numbers: [2210]
2210,10 unequal: No Solution
Exploring Operation: 65+34=99, Resulting Numbers: [99]
99,10 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:[65, 64], Operations: ['97-48=49', '15+49=64']
Exploring Operation: 65+64=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 65*64=4160, Resulting Numbers: [4160]
4160,10 unequal: No Solution
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,10 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:[49, 80], Operations: ['97-48=49', '15+65=80']
Exploring Operation: 49*80=3920, Resulting Numbers: [3920]
3920,10 unequal: No Solution
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Exploring Operation: 49+80=129, Resulting Numbers: [129]
129,10 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:[65, 97, 33], Operations: ['48-15=33']
Exploring Operation: 97-33=64, Resulting Numbers: [65, 64]
Generated Node #0,0,0: 10:[65, 64] Operation: 97-33=64
Exploring Operation: 65-33=32, Resulting Numbers: [97, 32]
Generated Node #0,0,1: 10:[97, 32] Operation: 65-33=32
Exploring Operation: 97-65=32, Resulting Numbers: [33, 32]
Generated Node #0,0,2: 10:[33, 32] Operation: 97-65=32
Exploring Operation: 65+33=98, Resulting Numbers: [97, 98]
Generated Node #0,0,3: 10:[97, 98] Operation: 65+33=98
Exploring Operation: 65+97=162, Resulting Numbers: [33, 162]
Generated Node #0,0,4: 10:[33, 162] Operation: 65+97=162
Moving to Node #0,3
Current State: 10:[48, 97, 50], Operations: ['65-15=50']
Exploring Operation: 97-50=47, Resulting Numbers: [48, 47]
Generated Node #0,3,0: 10:[48, 47] Operation: 97-50=47
Exploring Operation: 50-48=2, Resulting Numbers: [97, 2]
Generated Node #0,3,1: 10:[97, 2] Operation: 50-48=2
Exploring Operation: 48+50=98, Resulting Numbers: [97, 98]
Generated Node #0,3,2: 10:[97, 98] Operation: 48+50=98
Exploring Operation: 97-48=49, Resulting Numbers: [50, 49]
Generated Node #0,3,3: 10:[50, 49] Operation: 97-48=49
Exploring Operation: 48+97=145, Resulting Numbers: [50, 145]
Generated Node #0,3,4: 10:[50, 145] Operation: 48+97=145
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 10:[48, 47], Operations: ['65-15=50', '97-50=47']
Exploring Operation: 48*47=2256, Resulting Numbers: [2256]
2256,10 unequal: No Solution
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 48+47=95, Resulting Numbers: [95]
95,10 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:[50, 49], Operations: ['65-15=50', '97-48=49']
Exploring Operation: 50+49=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 50*49=2450, Resulting Numbers: [2450]
2450,10 unequal: No Solution
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,10 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 #0,3,1
Current State: 10:[97, 2], Operations: ['65-15=50', '50-48=2']
Exploring Operation: 97*2=194, Resulting Numbers: [194]
194,10 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,10 unequal: No Solution
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,10 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:[97, 98], Operations: ['65-15=50', '48+50=98']
Exploring Operation: 97+98=195, Resulting Numbers: [195]
195,10 unequal: No Solution
Exploring Operation: 98-97=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 97*98=9506, Resulting Numbers: [9506]
9506,10 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:[50, 145], Operations: ['65-15=50', '48+97=145']
Exploring Operation: 50+145=195, Resulting Numbers: [195]
195,10 unequal: No Solution
Exploring Operation: 50*145=7250, Resulting Numbers: [7250]
7250,10 unequal: No Solution
Exploring Operation: 145-50=95, Resulting Numbers: [95]
95,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 10:[15, 16], Operations: ['97-65=32', '48-32=16']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,10 unequal: No Solution
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Moving to Node #0,2,4
Current State: 10:[32, 33], Operations: ['97-65=32', '48-15=33']
Exploring Operation: 32+33=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 32*33=1056, Resulting Numbers: [1056]
1056,10 unequal: No Solution
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[33, 32], Operations: ['48-15=33', '97-65=32']
Exploring Operation: 33+32=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 33*32=1056, Resulting Numbers: [1056]
1056,10 unequal: No Solution
Moving to Node #0,2,3
Current State: 10:[48, 17], Operations: ['97-65=32', '32-15=17']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Exploring Operation: 48+17=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 48*17=816, Resulting Numbers: [816]
816,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[32, 63], Operations: ['97-65=32', '15+48=63']
Exploring Operation: 32+63=95, Resulting Numbers: [95]
95,10 unequal: No Solution
Exploring Operation: 32*63=2016, Resulting Numbers: [2016]
2016,10 unequal: No Solution
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[48, 47], Operations: ['97-65=32', '15+32=47']
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 48+47=95, Resulting Numbers: [95]
95,10 unequal: No Solution
Exploring Operation: 48*47=2256, Resulting Numbers: [2256]
2256,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[65, 64], Operations: ['48-15=33', '97-33=64']
Exploring Operation: 65+64=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 65*64=4160, Resulting Numbers: [4160]
4160,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[97, 32], Operations: ['48-15=33', '65-33=32']
Exploring Operation: 97-32=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 97+32=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 97*32=3104, Resulting Numbers: [3104]
3104,10 unequal: No Solution
Moving to Node #0,0,3
Current State: 10:[97, 98], Operations: ['48-15=33', '65+33=98']
Exploring Operation: 97+98=195, Resulting Numbers: [195]
195,10 unequal: No Solution
Exploring Operation: 97*98=9506, Resulting Numbers: [9506]
9506,10 unequal: No Solution
Exploring Operation: 98-97=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Moving to Node #0,0,4
Current State: 10:[33, 162], Operations: ['48-15=33', '65+97=162']
Exploring Operation: 33+162=195, Resulting Numbers: [195]
195,10 unequal: No Solution
Exploring Operation: 162-33=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 33*162=5346, Resulting Numbers: [5346]
5346,10 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
76,
18,
26,
15
] | 47 | [
"76-18=58",
"26-15=11",
"58-11=47"
] | Current State: 47:[76, 18, 26, 15], Operations: []
Exploring Operation: 76-18=58, Resulting Numbers: [26, 15, 58]
Generated Node #2: [26, 15, 58] from Operation: 76-18=58
Current State: 47:[26, 15, 58], Operations: ['76-18=58']
Exploring Operation: 26-15=11, Resulting Numbers: [58, 11]
Generated Node #3: [58, 11] from Operation: 26-15=11
Current State: 47:[58, 11], Operations: ['76-18=58', '26-15=11']
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[76, 18, 26, 15], Operations: []
Exploring Operation: 76-26=50, Resulting Numbers: [18, 15, 50]
Generated Node #0,0: 47:[18, 15, 50] Operation: 76-26=50
Exploring Operation: 18+26=44, Resulting Numbers: [76, 15, 44]
Generated Node #0,1: 47:[76, 15, 44] Operation: 18+26=44
Exploring Operation: 76-18=58, Resulting Numbers: [26, 15, 58]
Generated Node #0,2: 47:[26, 15, 58] Operation: 76-18=58
Exploring Operation: 76-15=61, Resulting Numbers: [18, 26, 61]
Generated Node #0,3: 47:[18, 26, 61] Operation: 76-15=61
Moving to Node #0,0
Current State: 47:[18, 15, 50], Operations: ['76-26=50']
Exploring Operation: 50-18=32, Resulting Numbers: [15, 32]
Generated Node #0,0,0: 47:[15, 32] Operation: 50-18=32
Exploring Operation: 18+15=33, Resulting Numbers: [50, 33]
Generated Node #0,0,1: 47:[50, 33] Operation: 18+15=33
Exploring Operation: 18-15=3, Resulting Numbers: [50, 3]
Generated Node #0,0,2: 47:[50, 3] Operation: 18-15=3
Exploring Operation: 50-15=35, Resulting Numbers: [18, 35]
Generated Node #0,0,3: 47:[18, 35] Operation: 50-15=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[50, 33], Operations: ['76-26=50', '18+15=33']
Exploring Operation: 50-33=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 50+33=83, Resulting Numbers: [83]
83,47 unequal: No Solution
Exploring Operation: 50*33=1650, Resulting Numbers: [1650]
1650,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 47:[18, 35], Operations: ['76-26=50', '50-15=35']
Exploring Operation: 18+35=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 18*35=630, Resulting Numbers: [630]
630,47 unequal: No Solution
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[15, 32], Operations: ['76-26=50', '50-18=32']
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 15+32=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[76, 18, 26, 15], Operations: []
Exploring Operation: 76-26=50, Resulting Numbers: [18, 15, 50]
Generated Node #0,0: 47:[18, 15, 50] Operation: 76-26=50
Moving to Node #0,0
Current State: 47:[18, 15, 50], Operations: ['76-26=50']
Exploring Operation: 50-18=32, Resulting Numbers: [15, 32]
Generated Node #0,0,0: 47:[15, 32] Operation: 50-18=32
Moving to Node #0,0,0
Current State: 47:[15, 32], Operations: ['76-26=50', '50-18=32']
Exploring Operation: 15+32=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
40,
92,
10,
41
] | 21 | [
"92-40=52",
"41-10=31",
"52-31=21"
] | Current State: 21:[40, 92, 10, 41], Operations: []
Exploring Operation: 92-40=52, Resulting Numbers: [10, 41, 52]
Generated Node #2: [10, 41, 52] from Operation: 92-40=52
Current State: 21:[10, 41, 52], Operations: ['92-40=52']
Exploring Operation: 41-10=31, Resulting Numbers: [52, 31]
Generated Node #3: [52, 31] from Operation: 41-10=31
Current State: 21:[52, 31], Operations: ['92-40=52', '41-10=31']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[40, 92, 10, 41], Operations: []
Exploring Operation: 92-41=51, Resulting Numbers: [40, 10, 51]
Generated Node #0,0: 21:[40, 10, 51] Operation: 92-41=51
Exploring Operation: 41-40=1, Resulting Numbers: [92, 10, 1]
Generated Node #0,1: 21:[92, 10, 1] Operation: 41-40=1
Exploring Operation: 92-40=52, Resulting Numbers: [10, 41, 52]
Generated Node #0,2: 21:[10, 41, 52] Operation: 92-40=52
Exploring Operation: 40-10=30, Resulting Numbers: [92, 41, 30]
Generated Node #0,3: 21:[92, 41, 30] Operation: 40-10=30
Exploring Operation: 40/10=4, Resulting Numbers: [92, 41, 4]
Generated Node #0,4: 21:[92, 41, 4] Operation: 40/10=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[40, 10, 51], Operations: ['92-41=51']
Exploring Operation: 51-10=41, Resulting Numbers: [40, 41]
Generated Node #0,0,0: 21:[40, 41] Operation: 51-10=41
Exploring Operation: 40+10=50, Resulting Numbers: [51, 50]
Generated Node #0,0,1: 21:[51, 50] Operation: 40+10=50
Exploring Operation: 51-40=11, Resulting Numbers: [10, 11]
Generated Node #0,0,2: 21:[10, 11] Operation: 51-40=11
Exploring Operation: 40-10=30, Resulting Numbers: [51, 30]
Generated Node #0,0,3: 21:[51, 30] Operation: 40-10=30
Exploring Operation: 40/10=4, Resulting Numbers: [51, 4]
Generated Node #0,0,4: 21:[51, 4] Operation: 40/10=4
Moving to Node #0,0,2
Current State: 21:[10, 11], Operations: ['92-41=51', '51-40=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[40, 92, 10, 41], Operations: []
Exploring Operation: 92-41=51, Resulting Numbers: [40, 10, 51]
Generated Node #0,0: 21:[40, 10, 51] Operation: 92-41=51
Moving to Node #0,0
Current State: 21:[40, 10, 51], Operations: ['92-41=51']
Exploring Operation: 51-40=11, Resulting Numbers: [10, 11]
Generated Node #0,0,2: 21:[10, 11] Operation: 51-40=11
Moving to Node #0,0,2
Current State: 21:[10, 11], Operations: ['92-41=51', '51-40=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
73,
10,
4,
5
] | 93 | [
"10-5=5",
"4*5=20",
"73+20=93"
] | Current State: 93:[73, 10, 4, 5], Operations: []
Exploring Operation: 10-5=5, Resulting Numbers: [73, 4, 5]
Generated Node #2: [73, 4, 5] from Operation: 10-5=5
Current State: 93:[73, 4, 5], Operations: ['10-5=5']
Exploring Operation: 4*5=20, Resulting Numbers: [73, 20]
Generated Node #3: [73, 20] from Operation: 4*5=20
Current State: 93:[73, 20], Operations: ['10-5=5', '4*5=20']
Exploring Operation: 73+20=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[73, 10, 4, 5], Operations: []
Exploring Operation: 73+10=83, Resulting Numbers: [4, 5, 83]
Generated Node #0,0: 93:[4, 5, 83] Operation: 73+10=83
Exploring Operation: 10/5=2, Resulting Numbers: [73, 4, 2]
Generated Node #0,1: 93:[73, 4, 2] Operation: 10/5=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[4, 5, 83], Operations: ['73+10=83']
Exploring Operation: 4+83=87, Resulting Numbers: [5, 87]
Generated Node #0,0,0: 93:[5, 87] Operation: 4+83=87
Exploring Operation: 5+83=88, Resulting Numbers: [4, 88]
Generated Node #0,0,1: 93:[4, 88] Operation: 5+83=88
Moving to Node #0,0,1
Current State: 93:[4, 88], Operations: ['73+10=83', '5+83=88']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,93 unequal: No Solution
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[5, 87], Operations: ['73+10=83', '4+83=87']
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[73, 4, 2], Operations: ['10/5=2']
Exploring Operation: 73+4=77, Resulting Numbers: [2, 77]
Generated Node #0,1,0: 93:[2, 77] Operation: 73+4=77
Exploring Operation: 73+2=75, Resulting Numbers: [4, 75]
Generated Node #0,1,1: 93:[4, 75] Operation: 73+2=75
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[2, 77], Operations: ['10/5=2', '73+4=77']
Exploring Operation: 2+77=79, Resulting Numbers: [79]
79,93 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[4, 75], Operations: ['10/5=2', '73+2=75']
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 4+75=79, Resulting Numbers: [79]
79,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
55,
6,
3,
84
] | 27 | [
"84-55=29",
"6/3=2",
"29-2=27"
] | Current State: 27:[55, 6, 3, 84], Operations: []
Exploring Operation: 84-55=29, Resulting Numbers: [6, 3, 29]
Generated Node #2: [6, 3, 29] from Operation: 84-55=29
Current State: 27:[6, 3, 29], Operations: ['84-55=29']
Exploring Operation: 6/3=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 6/3=2
Current State: 27:[29, 2], Operations: ['84-55=29', '6/3=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[55, 6, 3, 84], Operations: []
Exploring Operation: 84-55=29, Resulting Numbers: [6, 3, 29]
Generated Node #0,0: 27:[6, 3, 29] Operation: 84-55=29
Exploring Operation: 84/3=28, Resulting Numbers: [55, 6, 28]
Generated Node #0,1: 27:[55, 6, 28] Operation: 84/3=28
Moving to Node #0,0
Current State: 27:[6, 3, 29], Operations: ['84-55=29']
Exploring Operation: 6+3=9, Resulting Numbers: [29, 9]
Generated Node #0,0,0: 27:[29, 9] Operation: 6+3=9
Exploring Operation: 6-3=3, Resulting Numbers: [29, 3]
Generated Node #0,0,1: 27:[29, 3] Operation: 6-3=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[29, 9], Operations: ['84-55=29', '6+3=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 27:[29, 3], Operations: ['84-55=29', '6-3=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,27 unequal: No Solution
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,27 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: 27:[55, 6, 28], Operations: ['84/3=28']
Exploring Operation: 55-28=27, Resulting Numbers: [6, 27]
Generated Node #0,1,0: 27:[6, 27] Operation: 55-28=27
Exploring Operation: 55-6=49, Resulting Numbers: [28, 49]
Generated Node #0,1,1: 27:[28, 49] Operation: 55-6=49
Moving to Node #0,1,0
Current State: 27:[6, 27], Operations: ['84/3=28', '55-28=27']
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[28, 49], Operations: ['84/3=28', '55-6=49']
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 28+49=77, Resulting Numbers: [77]
77,27 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
1,
80,
99,
64
] | 45 | [
"1*80=80",
"99-64=35",
"80-35=45"
] | Current State: 45:[1, 80, 99, 64], Operations: []
Exploring Operation: 1*80=80, Resulting Numbers: [99, 64, 80]
Generated Node #2: [99, 64, 80] from Operation: 1*80=80
Current State: 45:[99, 64, 80], Operations: ['1*80=80']
Exploring Operation: 99-64=35, Resulting Numbers: [80, 35]
Generated Node #3: [80, 35] from Operation: 99-64=35
Current State: 45:[80, 35], Operations: ['1*80=80', '99-64=35']
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[1, 80, 99, 64], Operations: []
Exploring Operation: 99-64=35, Resulting Numbers: [1, 80, 35]
Generated Node #0,0: 45:[1, 80, 35] Operation: 99-64=35
Exploring Operation: 80-64=16, Resulting Numbers: [1, 99, 16]
Generated Node #0,1: 45:[1, 99, 16] Operation: 80-64=16
Exploring Operation: 99-80=19, Resulting Numbers: [1, 64, 19]
Generated Node #0,2: 45:[1, 64, 19] Operation: 99-80=19
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[1, 64, 19], Operations: ['99-80=19']
Exploring Operation: 64-1=63, Resulting Numbers: [19, 63]
Generated Node #0,2,0: 45:[19, 63] Operation: 64-1=63
Exploring Operation: 64-19=45, Resulting Numbers: [1, 45]
Generated Node #0,2,1: 45:[1, 45] Operation: 64-19=45
Exploring Operation: 19-1=18, Resulting Numbers: [64, 18]
Generated Node #0,2,2: 45:[64, 18] Operation: 19-1=18
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 45:[1, 45], Operations: ['99-80=19', '64-19=45']
Exploring Operation: 1+45=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[1, 80, 99, 64], Operations: []
Exploring Operation: 99-80=19, Resulting Numbers: [1, 64, 19]
Generated Node #0,2: 45:[1, 64, 19] Operation: 99-80=19
Moving to Node #0,2
Current State: 45:[1, 64, 19], Operations: ['99-80=19']
Exploring Operation: 64-19=45, Resulting Numbers: [1, 45]
Generated Node #0,2,1: 45:[1, 45] Operation: 64-19=45
Moving to Node #0,2,1
Current State: 45:[1, 45], Operations: ['99-80=19', '64-19=45']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
20,
37,
50,
14
] | 53 | [
"37-20=17",
"50-14=36",
"17+36=53"
] | Current State: 53:[20, 37, 50, 14], Operations: []
Exploring Operation: 37-20=17, Resulting Numbers: [50, 14, 17]
Generated Node #2: [50, 14, 17] from Operation: 37-20=17
Current State: 53:[50, 14, 17], Operations: ['37-20=17']
Exploring Operation: 50-14=36, Resulting Numbers: [17, 36]
Generated Node #3: [17, 36] from Operation: 50-14=36
Current State: 53:[17, 36], Operations: ['37-20=17', '50-14=36']
Exploring Operation: 17+36=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[20, 37, 50, 14], Operations: []
Exploring Operation: 20+14=34, Resulting Numbers: [37, 50, 34]
Generated Node #0,0: 53:[37, 50, 34] Operation: 20+14=34
Exploring Operation: 37+14=51, Resulting Numbers: [20, 50, 51]
Generated Node #0,1: 53:[20, 50, 51] Operation: 37+14=51
Exploring Operation: 20+37=57, Resulting Numbers: [50, 14, 57]
Generated Node #0,2: 53:[50, 14, 57] Operation: 20+37=57
Moving to Node #0,0
Current State: 53:[37, 50, 34], Operations: ['20+14=34']
Exploring Operation: 37+34=71, Resulting Numbers: [50, 71]
Generated Node #0,0,0: 53:[50, 71] Operation: 37+34=71
Exploring Operation: 37+50=87, Resulting Numbers: [34, 87]
Generated Node #0,0,1: 53:[34, 87] Operation: 37+50=87
Exploring Operation: 50+34=84, Resulting Numbers: [37, 84]
Generated Node #0,0,2: 53:[37, 84] Operation: 50+34=84
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[50, 71], Operations: ['20+14=34', '37+34=71']
Exploring Operation: 50+71=121, Resulting Numbers: [121]
121,53 unequal: No Solution
Exploring Operation: 50*71=3550, Resulting Numbers: [3550]
3550,53 unequal: No Solution
Exploring Operation: 71-50=21, Resulting Numbers: [21]
21,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[37, 84], Operations: ['20+14=34', '50+34=84']
Exploring Operation: 37*84=3108, Resulting Numbers: [3108]
3108,53 unequal: No Solution
Exploring Operation: 37+84=121, Resulting Numbers: [121]
121,53 unequal: No Solution
Exploring Operation: 84-37=47, Resulting Numbers: [47]
47,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[34, 87], Operations: ['20+14=34', '37+50=87']
Exploring Operation: 34+87=121, Resulting Numbers: [121]
121,53 unequal: No Solution
Exploring Operation: 87-34=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[20, 37, 50, 14], Operations: []
Exploring Operation: 20+14=34, Resulting Numbers: [37, 50, 34]
Generated Node #0,0: 53:[37, 50, 34] Operation: 20+14=34
Moving to Node #0,0
Current State: 53:[37, 50, 34], Operations: ['20+14=34']
Exploring Operation: 37+50=87, Resulting Numbers: [34, 87]
Generated Node #0,0,1: 53:[34, 87] Operation: 37+50=87
Moving to Node #0,0,1
Current State: 53:[34, 87], Operations: ['20+14=34', '37+50=87']
Exploring Operation: 87-34=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
71,
15,
52,
42
] | 66 | [
"71-15=56",
"52-42=10",
"56+10=66"
] | Current State: 66:[71, 15, 52, 42], Operations: []
Exploring Operation: 71-15=56, Resulting Numbers: [52, 42, 56]
Generated Node #2: [52, 42, 56] from Operation: 71-15=56
Current State: 66:[52, 42, 56], Operations: ['71-15=56']
Exploring Operation: 52-42=10, Resulting Numbers: [56, 10]
Generated Node #3: [56, 10] from Operation: 52-42=10
Current State: 66:[56, 10], Operations: ['71-15=56', '52-42=10']
Exploring Operation: 56+10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[71, 15, 52, 42], Operations: []
Exploring Operation: 15+52=67, Resulting Numbers: [71, 42, 67]
Generated Node #0,0: 66:[71, 42, 67] Operation: 15+52=67
Exploring Operation: 52-42=10, Resulting Numbers: [71, 15, 10]
Generated Node #0,1: 66:[71, 15, 10] Operation: 52-42=10
Exploring Operation: 71-52=19, Resulting Numbers: [15, 42, 19]
Generated Node #0,2: 66:[15, 42, 19] Operation: 71-52=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[71, 15, 10], Operations: ['52-42=10']
Exploring Operation: 15+10=25, Resulting Numbers: [71, 25]
Generated Node #0,1,0: 66:[71, 25] Operation: 15+10=25
Exploring Operation: 71-10=61, Resulting Numbers: [15, 61]
Generated Node #0,1,1: 66:[15, 61] Operation: 71-10=61
Exploring Operation: 15-10=5, Resulting Numbers: [71, 5]
Generated Node #0,1,2: 66:[71, 5] Operation: 15-10=5
Moving to Node #0,1,2
Current State: 66:[71, 5], Operations: ['52-42=10', '15-10=5']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[71, 15, 52, 42], Operations: []
Exploring Operation: 52-42=10, Resulting Numbers: [71, 15, 10]
Generated Node #0,1: 66:[71, 15, 10] Operation: 52-42=10
Moving to Node #0,1
Current State: 66:[71, 15, 10], Operations: ['52-42=10']
Exploring Operation: 15-10=5, Resulting Numbers: [71, 5]
Generated Node #0,1,2: 66:[71, 5] Operation: 15-10=5
Moving to Node #0,1,2
Current State: 66:[71, 5], Operations: ['52-42=10', '15-10=5']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
5,
42,
14,
80
] | 84 | [
"80/5=16",
"16-14=2",
"42*2=84"
] | Current State: 84:[5, 42, 14, 80], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [42, 14, 16]
Generated Node #2: [42, 14, 16] from Operation: 80/5=16
Current State: 84:[42, 14, 16], Operations: ['80/5=16']
Exploring Operation: 16-14=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 16-14=2
Current State: 84:[42, 2], Operations: ['80/5=16', '16-14=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[5, 42, 14, 80], Operations: []
Exploring Operation: 42-14=28, Resulting Numbers: [5, 80, 28]
Generated Node #0,0: 84:[5, 80, 28] Operation: 42-14=28
Exploring Operation: 5+80=85, Resulting Numbers: [42, 14, 85]
Generated Node #0,1: 84:[42, 14, 85] Operation: 5+80=85
Exploring Operation: 42/14=3, Resulting Numbers: [5, 80, 3]
Generated Node #0,2: 84:[5, 80, 3] Operation: 42/14=3
Exploring Operation: 80/5=16, Resulting Numbers: [42, 14, 16]
Generated Node #0,3: 84:[42, 14, 16] Operation: 80/5=16
Moving to Node #0,1
Current State: 84:[42, 14, 85], Operations: ['5+80=85']
Exploring Operation: 42-14=28, Resulting Numbers: [85, 28]
Generated Node #0,1,0: 84:[85, 28] Operation: 42-14=28
Exploring Operation: 42/14=3, Resulting Numbers: [85, 3]
Generated Node #0,1,1: 84:[85, 3] Operation: 42/14=3
Exploring Operation: 85-14=71, Resulting Numbers: [42, 71]
Generated Node #0,1,2: 84:[42, 71] Operation: 85-14=71
Exploring Operation: 85-42=43, Resulting Numbers: [14, 43]
Generated Node #0,1,3: 84:[14, 43] Operation: 85-42=43
Moving to Node #0,3
Current State: 84:[42, 14, 16], Operations: ['80/5=16']
Exploring Operation: 42-16=26, Resulting Numbers: [14, 26]
Generated Node #0,3,0: 84:[14, 26] Operation: 42-16=26
Exploring Operation: 16-14=2, Resulting Numbers: [42, 2]
Generated Node #0,3,1: 84:[42, 2] Operation: 16-14=2
Exploring Operation: 42/14=3, Resulting Numbers: [16, 3]
Generated Node #0,3,2: 84:[16, 3] Operation: 42/14=3
Exploring Operation: 42-14=28, Resulting Numbers: [16, 28]
Generated Node #0,3,3: 84:[16, 28] Operation: 42-14=28
Moving to Node #0,2
Current State: 84:[5, 80, 3], Operations: ['42/14=3']
Exploring Operation: 80/5=16, Resulting Numbers: [3, 16]
Generated Node #0,2,0: 84:[3, 16] Operation: 80/5=16
Exploring Operation: 5-3=2, Resulting Numbers: [80, 2]
Generated Node #0,2,1: 84:[80, 2] Operation: 5-3=2
Exploring Operation: 5+80=85, Resulting Numbers: [3, 85]
Generated Node #0,2,2: 84:[3, 85] Operation: 5+80=85
Exploring Operation: 80+3=83, Resulting Numbers: [5, 83]
Generated Node #0,2,3: 84:[5, 83] Operation: 80+3=83
Moving to Node #0,0
Current State: 84:[5, 80, 28], Operations: ['42-14=28']
Exploring Operation: 80-5=75, Resulting Numbers: [28, 75]
Generated Node #0,0,0: 84:[28, 75] Operation: 80-5=75
Exploring Operation: 28-5=23, Resulting Numbers: [80, 23]
Generated Node #0,0,1: 84:[80, 23] Operation: 28-5=23
Exploring Operation: 5+80=85, Resulting Numbers: [28, 85]
Generated Node #0,0,2: 84:[28, 85] Operation: 5+80=85
Exploring Operation: 80/5=16, Resulting Numbers: [28, 16]
Generated Node #0,0,3: 84:[28, 16] Operation: 80/5=16
Moving to Node #0,3,1
Current State: 84:[42, 2], Operations: ['80/5=16', '16-14=2']
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[5, 42, 14, 80], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [42, 14, 16]
Generated Node #0,3: 84:[42, 14, 16] Operation: 80/5=16
Moving to Node #0,3
Current State: 84:[42, 14, 16], Operations: ['80/5=16']
Exploring Operation: 16-14=2, Resulting Numbers: [42, 2]
Generated Node #0,3,1: 84:[42, 2] Operation: 16-14=2
Moving to Node #0,3,1
Current State: 84:[42, 2], Operations: ['80/5=16', '16-14=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.975694 | hs_4 | mult_heuristic |
[
23,
4,
3,
18
] | 32 | [
"23+3=26",
"26-18=8",
"4*8=32"
] | Current State: 32:[23, 4, 3, 18], Operations: []
Exploring Operation: 23+3=26, Resulting Numbers: [4, 18, 26]
Generated Node #2: [4, 18, 26] from Operation: 23+3=26
Current State: 32:[4, 18, 26], Operations: ['23+3=26']
Exploring Operation: 26-18=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 26-18=8
Current State: 32:[4, 8], Operations: ['23+3=26', '26-18=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[23, 4, 3, 18], Operations: []
Exploring Operation: 23-18=5, Resulting Numbers: [4, 3, 5]
Generated Node #0,0: 32:[4, 3, 5] Operation: 23-18=5
Exploring Operation: 23-4=19, Resulting Numbers: [3, 18, 19]
Generated Node #0,1: 32:[3, 18, 19] Operation: 23-4=19
Exploring Operation: 23-3=20, Resulting Numbers: [4, 18, 20]
Generated Node #0,2: 32:[4, 18, 20] Operation: 23-3=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[4, 3, 5], Operations: ['23-18=5']
Exploring Operation: 5-3=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 32:[4, 2] Operation: 5-3=2
Exploring Operation: 3*5=15, Resulting Numbers: [4, 15]
Generated Node #0,0,1: 32:[4, 15] Operation: 3*5=15
Exploring Operation: 3+5=8, Resulting Numbers: [4, 8]
Generated Node #0,0,2: 32:[4, 8] Operation: 3+5=8
Moving to Node #0,0,0
Current State: 32:[4, 2], Operations: ['23-18=5', '5-3=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Moving to Node #0,0,2
Current State: 32:[4, 8], Operations: ['23-18=5', '3+5=8']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[23, 4, 3, 18], Operations: []
Exploring Operation: 23-18=5, Resulting Numbers: [4, 3, 5]
Generated Node #0,0: 32:[4, 3, 5] Operation: 23-18=5
Moving to Node #0,0
Current State: 32:[4, 3, 5], Operations: ['23-18=5']
Exploring Operation: 3+5=8, Resulting Numbers: [4, 8]
Generated Node #0,0,2: 32:[4, 8] Operation: 3+5=8
Moving to Node #0,0,2
Current State: 32:[4, 8], Operations: ['23-18=5', '3+5=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
6,
37,
26,
18
] | 13 | [
"37-6=31",
"26+18=44",
"44-31=13"
] | Current State: 13:[6, 37, 26, 18], Operations: []
Exploring Operation: 37-6=31, Resulting Numbers: [26, 18, 31]
Generated Node #2: [26, 18, 31] from Operation: 37-6=31
Current State: 13:[26, 18, 31], Operations: ['37-6=31']
Exploring Operation: 26+18=44, Resulting Numbers: [31, 44]
Generated Node #3: [31, 44] from Operation: 26+18=44
Current State: 13:[31, 44], Operations: ['37-6=31', '26+18=44']
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[6, 37, 26, 18], Operations: []
Exploring Operation: 37-18=19, Resulting Numbers: [6, 26, 19]
Generated Node #0,0: 13:[6, 26, 19] Operation: 37-18=19
Exploring Operation: 37-26=11, Resulting Numbers: [6, 18, 11]
Generated Node #0,1: 13:[6, 18, 11] Operation: 37-26=11
Exploring Operation: 37-6=31, Resulting Numbers: [26, 18, 31]
Generated Node #0,2: 13:[26, 18, 31] Operation: 37-6=31
Moving to Node #0,1
Current State: 13:[6, 18, 11], Operations: ['37-26=11']
Exploring Operation: 6+11=17, Resulting Numbers: [18, 17]
Generated Node #0,1,0: 13:[18, 17] Operation: 6+11=17
Exploring Operation: 18/6=3, Resulting Numbers: [11, 3]
Generated Node #0,1,1: 13:[11, 3] Operation: 18/6=3
Exploring Operation: 18-6=12, Resulting Numbers: [11, 12]
Generated Node #0,1,2: 13:[11, 12] Operation: 18-6=12
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 13:[11, 12], Operations: ['37-26=11', '18-6=12']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,13 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,13 unequal: No Solution
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,13 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 #0,1,0
Current State: 13:[18, 17], Operations: ['37-26=11', '6+11=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,13 unequal: No Solution
Exploring Operation: 18*17=306, Resulting Numbers: [306]
306,13 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 #0,1,1
Current State: 13:[11, 3], Operations: ['37-26=11', '18/6=3']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,13 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: 13:[6, 26, 19], Operations: ['37-18=19']
Exploring Operation: 26-6=20, Resulting Numbers: [19, 20]
Generated Node #0,0,0: 13:[19, 20] Operation: 26-6=20
Exploring Operation: 19-6=13, Resulting Numbers: [26, 13]
Generated Node #0,0,1: 13:[26, 13] Operation: 19-6=13
Exploring Operation: 26-19=7, Resulting Numbers: [6, 7]
Generated Node #0,0,2: 13:[6, 7] Operation: 26-19=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[19, 20], Operations: ['37-18=19', '26-6=20']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,13 unequal: No Solution
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,13 unequal: No Solution
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,13 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:[26, 13], Operations: ['37-18=19', '19-6=13']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[6, 37, 26, 18], Operations: []
Exploring Operation: 37-18=19, Resulting Numbers: [6, 26, 19]
Generated Node #0,0: 13:[6, 26, 19] Operation: 37-18=19
Moving to Node #0,0
Current State: 13:[6, 26, 19], Operations: ['37-18=19']
Exploring Operation: 19-6=13, Resulting Numbers: [26, 13]
Generated Node #0,0,1: 13:[26, 13] Operation: 19-6=13
Moving to Node #0,0,1
Current State: 13:[26, 13], Operations: ['37-18=19', '19-6=13']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | sum_heuristic |
[
21,
51,
83,
56
] | 99 | [
"21+51=72",
"83-56=27",
"72+27=99"
] | Current State: 99:[21, 51, 83, 56], Operations: []
Exploring Operation: 21+51=72, Resulting Numbers: [83, 56, 72]
Generated Node #2: [83, 56, 72] from Operation: 21+51=72
Current State: 99:[83, 56, 72], Operations: ['21+51=72']
Exploring Operation: 83-56=27, Resulting Numbers: [72, 27]
Generated Node #3: [72, 27] from Operation: 83-56=27
Current State: 99:[72, 27], Operations: ['21+51=72', '83-56=27']
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[21, 51, 83, 56], Operations: []
Exploring Operation: 83-56=27, Resulting Numbers: [21, 51, 27]
Generated Node #0,0: 99:[21, 51, 27] Operation: 83-56=27
Exploring Operation: 56-21=35, Resulting Numbers: [51, 83, 35]
Generated Node #0,1: 99:[51, 83, 35] Operation: 56-21=35
Exploring Operation: 51+56=107, Resulting Numbers: [21, 83, 107]
Generated Node #0,2: 99:[21, 83, 107] Operation: 51+56=107
Exploring Operation: 56-51=5, Resulting Numbers: [21, 83, 5]
Generated Node #0,3: 99:[21, 83, 5] Operation: 56-51=5
Exploring Operation: 83-51=32, Resulting Numbers: [21, 56, 32]
Generated Node #0,4: 99:[21, 56, 32] Operation: 83-51=32
Start Sub Search at level 1: Moving to Node #0,3
Current State: 99:[21, 83, 5], Operations: ['56-51=5']
Exploring Operation: 21*5=105, Resulting Numbers: [83, 105]
Generated Node #0,3,0: 99:[83, 105] Operation: 21*5=105
Exploring Operation: 21+5=26, Resulting Numbers: [83, 26]
Generated Node #0,3,1: 99:[83, 26] Operation: 21+5=26
Exploring Operation: 21+83=104, Resulting Numbers: [5, 104]
Generated Node #0,3,2: 99:[5, 104] Operation: 21+83=104
Exploring Operation: 83+5=88, Resulting Numbers: [21, 88]
Generated Node #0,3,3: 99:[21, 88] Operation: 83+5=88
Exploring Operation: 21-5=16, Resulting Numbers: [83, 16]
Generated Node #0,3,4: 99:[83, 16] Operation: 21-5=16
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 99:[5, 104], Operations: ['56-51=5', '21+83=104']
Exploring Operation: 5*104=520, Resulting Numbers: [520]
520,99 unequal: No Solution
Exploring Operation: 104-5=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[21, 51, 83, 56], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [21, 83, 5]
Generated Node #0,3: 99:[21, 83, 5] Operation: 56-51=5
Moving to Node #0,3
Current State: 99:[21, 83, 5], Operations: ['56-51=5']
Exploring Operation: 21+83=104, Resulting Numbers: [5, 104]
Generated Node #0,3,2: 99:[5, 104] Operation: 21+83=104
Moving to Node #0,3,2
Current State: 99:[5, 104], Operations: ['56-51=5', '21+83=104']
Exploring Operation: 104-5=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
18,
96,
15,
10
] | 84 | [
"18*10=180",
"180/15=12",
"96-12=84"
] | Current State: 84:[18, 96, 15, 10], Operations: []
Exploring Operation: 18*10=180, Resulting Numbers: [96, 15, 180]
Generated Node #2: [96, 15, 180] from Operation: 18*10=180
Current State: 84:[96, 15, 180], Operations: ['18*10=180']
Exploring Operation: 180/15=12, Resulting Numbers: [96, 12]
Generated Node #3: [96, 12] from Operation: 180/15=12
Current State: 84:[96, 12], Operations: ['18*10=180', '180/15=12']
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[18, 96, 15, 10], Operations: []
Exploring Operation: 96-10=86, Resulting Numbers: [18, 15, 86]
Generated Node #0,0: 84:[18, 15, 86] Operation: 96-10=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[18, 15, 86], Operations: ['96-10=86']
Exploring Operation: 18-15=3, Resulting Numbers: [86, 3]
Generated Node #0,0,0: 84:[86, 3] Operation: 18-15=3
Moving to Node #0,0,0
Current State: 84:[86, 3], Operations: ['96-10=86', '18-15=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
19,
76,
60,
42
] | 77 | [
"19+76=95",
"60-42=18",
"95-18=77"
] | Current State: 77:[19, 76, 60, 42], Operations: []
Exploring Operation: 19+76=95, Resulting Numbers: [60, 42, 95]
Generated Node #2: [60, 42, 95] from Operation: 19+76=95
Current State: 77:[60, 42, 95], Operations: ['19+76=95']
Exploring Operation: 60-42=18, Resulting Numbers: [95, 18]
Generated Node #3: [95, 18] from Operation: 60-42=18
Current State: 77:[95, 18], Operations: ['19+76=95', '60-42=18']
Exploring Operation: 95-18=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[19, 76, 60, 42], Operations: []
Exploring Operation: 60-42=18, Resulting Numbers: [19, 76, 18]
Generated Node #0,0: 77:[19, 76, 18] Operation: 60-42=18
Moving to Node #0,0
Current State: 77:[19, 76, 18], Operations: ['60-42=18']
Exploring Operation: 19-18=1, Resulting Numbers: [76, 1]
Generated Node #0,0,0: 77:[76, 1] Operation: 19-18=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[76, 1], Operations: ['60-42=18', '19-18=1']
Exploring Operation: 76+1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[19, 76, 60, 42], Operations: []
Exploring Operation: 60-42=18, Resulting Numbers: [19, 76, 18]
Generated Node #0,0: 77:[19, 76, 18] Operation: 60-42=18
Moving to Node #0,0
Current State: 77:[19, 76, 18], Operations: ['60-42=18']
Exploring Operation: 19-18=1, Resulting Numbers: [76, 1]
Generated Node #0,0,0: 77:[76, 1] Operation: 19-18=1
Moving to Node #0,0,0
Current State: 77:[76, 1], Operations: ['60-42=18', '19-18=1']
Exploring Operation: 76+1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
65,
10,
77,
5
] | 89 | [
"10*77=770",
"770/5=154",
"154-65=89"
] | Current State: 89:[65, 10, 77, 5], Operations: []
Exploring Operation: 10*77=770, Resulting Numbers: [65, 5, 770]
Generated Node #2: [65, 5, 770] from Operation: 10*77=770
Current State: 89:[65, 5, 770], Operations: ['10*77=770']
Exploring Operation: 770/5=154, Resulting Numbers: [65, 154]
Generated Node #3: [65, 154] from Operation: 770/5=154
Current State: 89:[65, 154], Operations: ['10*77=770', '770/5=154']
Exploring Operation: 154-65=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[65, 10, 77, 5], Operations: []
Exploring Operation: 65+10=75, Resulting Numbers: [77, 5, 75]
Generated Node #0,0: 89:[77, 5, 75] Operation: 65+10=75
Exploring Operation: 65+5=70, Resulting Numbers: [10, 77, 70]
Generated Node #0,1: 89:[10, 77, 70] Operation: 65+5=70
Exploring Operation: 10*5=50, Resulting Numbers: [65, 77, 50]
Generated Node #0,2: 89:[65, 77, 50] Operation: 10*5=50
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[65, 77, 50], Operations: ['10*5=50']
Exploring Operation: 65+50=115, Resulting Numbers: [77, 115]
Generated Node #0,2,0: 89:[77, 115] Operation: 65+50=115
Exploring Operation: 65-50=15, Resulting Numbers: [77, 15]
Generated Node #0,2,1: 89:[77, 15] Operation: 65-50=15
Exploring Operation: 77+50=127, Resulting Numbers: [65, 127]
Generated Node #0,2,2: 89:[65, 127] Operation: 77+50=127
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[77, 115], Operations: ['10*5=50', '65+50=115']
Exploring Operation: 77+115=192, Resulting Numbers: [192]
192,89 unequal: No Solution
Exploring Operation: 77*115=8855, Resulting Numbers: [8855]
8855,89 unequal: No Solution
Exploring Operation: 115-77=38, Resulting Numbers: [38]
38,89 unequal: No Solution
No 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: 89:[65, 127], Operations: ['10*5=50', '77+50=127']
Exploring Operation: 127-65=62, Resulting Numbers: [62]
62,89 unequal: No Solution
Exploring Operation: 65*127=8255, Resulting Numbers: [8255]
8255,89 unequal: No Solution
Exploring Operation: 65+127=192, Resulting Numbers: [192]
192,89 unequal: No Solution
No 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: 89:[77, 15], Operations: ['10*5=50', '65-50=15']
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,89 unequal: No Solution
Exploring Operation: 77+15=92, Resulting Numbers: [92]
92,89 unequal: No Solution
Exploring Operation: 77*15=1155, Resulting Numbers: [1155]
1155,89 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: 89:[77, 5, 75], Operations: ['65+10=75']
Exploring Operation: 77-5=72, Resulting Numbers: [75, 72]
Generated Node #0,0,0: 89:[75, 72] Operation: 77-5=72
Exploring Operation: 77+5=82, Resulting Numbers: [75, 82]
Generated Node #0,0,1: 89:[75, 82] Operation: 77+5=82
Exploring Operation: 5+75=80, Resulting Numbers: [77, 80]
Generated Node #0,0,2: 89:[77, 80] Operation: 5+75=80
Moving to Node #0,0,1
Current State: 89:[75, 82], Operations: ['65+10=75', '77+5=82']
Exploring Operation: 82-75=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 75+82=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 75*82=6150, Resulting Numbers: [6150]
6150,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[77, 80], Operations: ['65+10=75', '5+75=80']
Exploring Operation: 80-77=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 77+80=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 77*80=6160, Resulting Numbers: [6160]
6160,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[75, 72], Operations: ['65+10=75', '77-5=72']
Exploring Operation: 75-72=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 75+72=147, Resulting Numbers: [147]
147,89 unequal: No Solution
Exploring Operation: 75*72=5400, Resulting Numbers: [5400]
5400,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[10, 77, 70], Operations: ['65+5=70']
Exploring Operation: 10+77=87, Resulting Numbers: [70, 87]
Generated Node #0,1,0: 89:[70, 87] Operation: 10+77=87
Exploring Operation: 77-10=67, Resulting Numbers: [70, 67]
Generated Node #0,1,1: 89:[70, 67] Operation: 77-10=67
Exploring Operation: 10+70=80, Resulting Numbers: [77, 80]
Generated Node #0,1,2: 89:[77, 80] Operation: 10+70=80
Moving to Node #0,1,0
Current State: 89:[70, 87], Operations: ['65+5=70', '10+77=87']
Exploring Operation: 70+87=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 87-70=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 70*87=6090, Resulting Numbers: [6090]
6090,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[77, 80], Operations: ['65+5=70', '10+70=80']
Exploring Operation: 80-77=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 77*80=6160, Resulting Numbers: [6160]
6160,89 unequal: No Solution
Exploring Operation: 77+80=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[70, 67], Operations: ['65+5=70', '77-10=67']
Exploring Operation: 70+67=137, Resulting Numbers: [137]
137,89 unequal: No Solution
Exploring Operation: 70*67=4690, Resulting Numbers: [4690]
4690,89 unequal: No Solution
Exploring Operation: 70-67=3, Resulting Numbers: [3]
3,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
78,
95,
86,
6
] | 24 | [
"95-86=9",
"6*9=54",
"78-54=24"
] | Current State: 24:[78, 95, 86, 6], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [78, 6, 9]
Generated Node #2: [78, 6, 9] from Operation: 95-86=9
Current State: 24:[78, 6, 9], Operations: ['95-86=9']
Exploring Operation: 6*9=54, Resulting Numbers: [78, 54]
Generated Node #3: [78, 54] from Operation: 6*9=54
Current State: 24:[78, 54], Operations: ['95-86=9', '6*9=54']
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[78, 95, 86, 6], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [78, 6, 9]
Generated Node #0,0: 24:[78, 6, 9] Operation: 95-86=9
Moving to Node #0,0
Current State: 24:[78, 6, 9], Operations: ['95-86=9']
Exploring Operation: 78/6=13, Resulting Numbers: [9, 13]
Generated Node #0,0,0: 24:[9, 13] Operation: 78/6=13
Moving to Node #0,0,0
Current State: 24:[9, 13], Operations: ['95-86=9', '78/6=13']
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,24 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
16,
32,
38,
83
] | 29 | [
"32-16=16",
"83-38=45",
"45-16=29"
] | Current State: 29:[16, 32, 38, 83], Operations: []
Exploring Operation: 32-16=16, Resulting Numbers: [38, 83, 16]
Generated Node #2: [38, 83, 16] from Operation: 32-16=16
Current State: 29:[38, 83, 16], Operations: ['32-16=16']
Exploring Operation: 83-38=45, Resulting Numbers: [16, 45]
Generated Node #3: [16, 45] from Operation: 83-38=45
Current State: 29:[16, 45], Operations: ['32-16=16', '83-38=45']
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[16, 32, 38, 83], Operations: []
Exploring Operation: 32-16=16, Resulting Numbers: [38, 83, 16]
Generated Node #0,0: 29:[38, 83, 16] Operation: 32-16=16
Exploring Operation: 38-16=22, Resulting Numbers: [32, 83, 22]
Generated Node #0,1: 29:[32, 83, 22] Operation: 38-16=22
Exploring Operation: 83-16=67, Resulting Numbers: [32, 38, 67]
Generated Node #0,2: 29:[32, 38, 67] Operation: 83-16=67
Exploring Operation: 83-32=51, Resulting Numbers: [16, 38, 51]
Generated Node #0,3: 29:[16, 38, 51] Operation: 83-32=51
Exploring Operation: 83-38=45, Resulting Numbers: [16, 32, 45]
Generated Node #0,4: 29:[16, 32, 45] Operation: 83-38=45
Start Sub Search at level 1: Moving to Node #0,4
Current State: 29:[16, 32, 45], Operations: ['83-38=45']
Exploring Operation: 16+32=48, Resulting Numbers: [45, 48]
Generated Node #0,4,0: 29:[45, 48] Operation: 16+32=48
Exploring Operation: 45-32=13, Resulting Numbers: [16, 13]
Generated Node #0,4,1: 29:[16, 13] Operation: 45-32=13
Exploring Operation: 16+45=61, Resulting Numbers: [32, 61]
Generated Node #0,4,2: 29:[32, 61] Operation: 16+45=61
Exploring Operation: 32-16=16, Resulting Numbers: [45, 16]
Generated Node #0,4,3: 29:[45, 16] Operation: 32-16=16
Exploring Operation: 45-16=29, Resulting Numbers: [32, 29]
Generated Node #0,4,4: 29:[32, 29] Operation: 45-16=29
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 29:[32, 29], Operations: ['83-38=45', '45-16=29']
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,29 unequal: No Solution
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,29 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,29 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 #0,4,1
Current State: 29:[16, 13], Operations: ['83-38=45', '45-32=13']
Exploring Operation: 16*13=208, Resulting Numbers: [208]
208,29 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 16+13=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[16, 32, 38, 83], Operations: []
Exploring Operation: 83-38=45, Resulting Numbers: [16, 32, 45]
Generated Node #0,4: 29:[16, 32, 45] Operation: 83-38=45
Moving to Node #0,4
Current State: 29:[16, 32, 45], Operations: ['83-38=45']
Exploring Operation: 45-32=13, Resulting Numbers: [16, 13]
Generated Node #0,4,1: 29:[16, 13] Operation: 45-32=13
Moving to Node #0,4,1
Current State: 29:[16, 13], Operations: ['83-38=45', '45-32=13']
Exploring Operation: 16+13=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
94,
71,
55,
45
] | 65 | [
"94+71=165",
"55+45=100",
"165-100=65"
] | Current State: 65:[94, 71, 55, 45], Operations: []
Exploring Operation: 94+71=165, Resulting Numbers: [55, 45, 165]
Generated Node #2: [55, 45, 165] from Operation: 94+71=165
Current State: 65:[55, 45, 165], Operations: ['94+71=165']
Exploring Operation: 55+45=100, Resulting Numbers: [165, 100]
Generated Node #3: [165, 100] from Operation: 55+45=100
Current State: 65:[165, 100], Operations: ['94+71=165', '55+45=100']
Exploring Operation: 165-100=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[94, 71, 55, 45], Operations: []
Exploring Operation: 94-45=49, Resulting Numbers: [71, 55, 49]
Generated Node #0,0: 65:[71, 55, 49] Operation: 94-45=49
Exploring Operation: 55-45=10, Resulting Numbers: [94, 71, 10]
Generated Node #0,1: 65:[94, 71, 10] Operation: 55-45=10
Exploring Operation: 94-55=39, Resulting Numbers: [71, 45, 39]
Generated Node #0,2: 65:[71, 45, 39] Operation: 94-55=39
Exploring Operation: 94-71=23, Resulting Numbers: [55, 45, 23]
Generated Node #0,3: 65:[55, 45, 23] Operation: 94-71=23
Moving to Node #0,0
Current State: 65:[71, 55, 49], Operations: ['94-45=49']
Exploring Operation: 55+49=104, Resulting Numbers: [71, 104]
Generated Node #0,0,0: 65:[71, 104] Operation: 55+49=104
Exploring Operation: 55-49=6, Resulting Numbers: [71, 6]
Generated Node #0,0,1: 65:[71, 6] Operation: 55-49=6
Exploring Operation: 71-49=22, Resulting Numbers: [55, 22]
Generated Node #0,0,2: 65:[55, 22] Operation: 71-49=22
Exploring Operation: 71-55=16, Resulting Numbers: [49, 16]
Generated Node #0,0,3: 65:[49, 16] Operation: 71-55=16
Moving to Node #0,1
Current State: 65:[94, 71, 10], Operations: ['55-45=10']
Exploring Operation: 94+10=104, Resulting Numbers: [71, 104]
Generated Node #0,1,0: 65:[71, 104] Operation: 94+10=104
Exploring Operation: 94-10=84, Resulting Numbers: [71, 84]
Generated Node #0,1,1: 65:[71, 84] Operation: 94-10=84
Exploring Operation: 71-10=61, Resulting Numbers: [94, 61]
Generated Node #0,1,2: 65:[94, 61] Operation: 71-10=61
Exploring Operation: 94-71=23, Resulting Numbers: [10, 23]
Generated Node #0,1,3: 65:[10, 23] Operation: 94-71=23
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 65:[10, 23], Operations: ['55-45=10', '94-71=23']
Exploring Operation: 10*23=230, Resulting Numbers: [230]
230,65 unequal: No Solution
Exploring Operation: 10+23=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 #0,1,1
Current State: 65:[71, 84], Operations: ['55-45=10', '94-10=84']
Exploring Operation: 71+84=155, Resulting Numbers: [155]
155,65 unequal: No Solution
Exploring Operation: 84-71=13, Resulting Numbers: [13]
13,65 unequal: No Solution
Exploring Operation: 71*84=5964, Resulting Numbers: [5964]
5964,65 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 #0,1,2
Current State: 65:[94, 61], Operations: ['55-45=10', '71-10=61']
Exploring Operation: 94+61=155, Resulting Numbers: [155]
155,65 unequal: No Solution
Exploring Operation: 94*61=5734, Resulting Numbers: [5734]
5734,65 unequal: No Solution
Exploring Operation: 94-61=33, Resulting Numbers: [33]
33,65 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 #0,1,0
Current State: 65:[71, 104], Operations: ['55-45=10', '94+10=104']
Exploring Operation: 71*104=7384, Resulting Numbers: [7384]
7384,65 unequal: No Solution
Exploring Operation: 104-71=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 71+104=175, Resulting Numbers: [175]
175,65 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: 65:[55, 45, 23], Operations: ['94-71=23']
Exploring Operation: 45-23=22, Resulting Numbers: [55, 22]
Generated Node #0,3,0: 65:[55, 22] Operation: 45-23=22
Exploring Operation: 55-45=10, Resulting Numbers: [23, 10]
Generated Node #0,3,1: 65:[23, 10] Operation: 55-45=10
Exploring Operation: 55+23=78, Resulting Numbers: [45, 78]
Generated Node #0,3,2: 65:[45, 78] Operation: 55+23=78
Exploring Operation: 45+23=68, Resulting Numbers: [55, 68]
Generated Node #0,3,3: 65:[55, 68] Operation: 45+23=68
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 65:[23, 10], Operations: ['94-71=23', '55-45=10']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,65 unequal: No Solution
Exploring Operation: 23*10=230, Resulting Numbers: [230]
230,65 unequal: No Solution
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,65 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 #0,3,3
Current State: 65:[55, 68], Operations: ['94-71=23', '45+23=68']
Exploring Operation: 68-55=13, Resulting Numbers: [13]
13,65 unequal: No Solution
Exploring Operation: 55*68=3740, Resulting Numbers: [3740]
3740,65 unequal: No Solution
Exploring Operation: 55+68=123, Resulting Numbers: [123]
123,65 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 #0,3,0
Current State: 65:[55, 22], Operations: ['94-71=23', '45-23=22']
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,65 unequal: No Solution
Exploring Operation: 55*22=1210, Resulting Numbers: [1210]
1210,65 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,65 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 #0,3,2
Current State: 65:[45, 78], Operations: ['94-71=23', '55+23=78']
Exploring Operation: 78-45=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 45*78=3510, Resulting Numbers: [3510]
3510,65 unequal: No Solution
Exploring Operation: 45+78=123, Resulting Numbers: [123]
123,65 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: 65:[71, 45, 39], Operations: ['94-55=39']
Exploring Operation: 45-39=6, Resulting Numbers: [71, 6]
Generated Node #0,2,0: 65:[71, 6] Operation: 45-39=6
Exploring Operation: 45+39=84, Resulting Numbers: [71, 84]
Generated Node #0,2,1: 65:[71, 84] Operation: 45+39=84
Exploring Operation: 71-39=32, Resulting Numbers: [45, 32]
Generated Node #0,2,2: 65:[45, 32] Operation: 71-39=32
Exploring Operation: 71-45=26, Resulting Numbers: [39, 26]
Generated Node #0,2,3: 65:[39, 26] Operation: 71-45=26
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 65:[71, 6], Operations: ['94-55=39', '45-39=6']
Exploring Operation: 71*6=426, Resulting Numbers: [426]
426,65 unequal: No Solution
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[94, 71, 55, 45], Operations: []
Exploring Operation: 94-55=39, Resulting Numbers: [71, 45, 39]
Generated Node #0,2: 65:[71, 45, 39] Operation: 94-55=39
Moving to Node #0,2
Current State: 65:[71, 45, 39], Operations: ['94-55=39']
Exploring Operation: 45-39=6, Resulting Numbers: [71, 6]
Generated Node #0,2,0: 65:[71, 6] Operation: 45-39=6
Moving to Node #0,2,0
Current State: 65:[71, 6], Operations: ['94-55=39', '45-39=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.956597 | hs_4 | sum_heuristic |
[
96,
86,
6,
67
] | 83 | [
"96-86=10",
"6+67=73",
"10+73=83"
] | Current State: 83:[96, 86, 6, 67], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [6, 67, 10]
Generated Node #2: [6, 67, 10] from Operation: 96-86=10
Current State: 83:[6, 67, 10], Operations: ['96-86=10']
Exploring Operation: 6+67=73, Resulting Numbers: [10, 73]
Generated Node #3: [10, 73] from Operation: 6+67=73
Current State: 83:[10, 73], Operations: ['96-86=10', '6+67=73']
Exploring Operation: 10+73=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[96, 86, 6, 67], Operations: []
Exploring Operation: 6+67=73, Resulting Numbers: [96, 86, 73]
Generated Node #0,0: 83:[96, 86, 73] Operation: 6+67=73
Exploring Operation: 86+6=92, Resulting Numbers: [96, 67, 92]
Generated Node #0,1: 83:[96, 67, 92] Operation: 86+6=92
Exploring Operation: 86-6=80, Resulting Numbers: [96, 67, 80]
Generated Node #0,2: 83:[96, 67, 80] Operation: 86-6=80
Exploring Operation: 96-6=90, Resulting Numbers: [86, 67, 90]
Generated Node #0,3: 83:[86, 67, 90] Operation: 96-6=90
Exploring Operation: 96+6=102, Resulting Numbers: [86, 67, 102]
Generated Node #0,4: 83:[86, 67, 102] Operation: 96+6=102
Moving to Node #0,0
Current State: 83:[96, 86, 73], Operations: ['6+67=73']
Exploring Operation: 86-73=13, Resulting Numbers: [96, 13]
Generated Node #0,0,0: 83:[96, 13] Operation: 86-73=13
Exploring Operation: 96-86=10, Resulting Numbers: [73, 10]
Generated Node #0,0,1: 83:[73, 10] Operation: 96-86=10
Exploring Operation: 86+73=159, Resulting Numbers: [96, 159]
Generated Node #0,0,2: 83:[96, 159] Operation: 86+73=159
Exploring Operation: 96-73=23, Resulting Numbers: [86, 23]
Generated Node #0,0,3: 83:[86, 23] Operation: 96-73=23
Exploring Operation: 96+73=169, Resulting Numbers: [86, 169]
Generated Node #0,0,4: 83:[86, 169] Operation: 96+73=169
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 83:[86, 23], Operations: ['6+67=73', '96-73=23']
Exploring Operation: 86+23=109, Resulting Numbers: [109]
109,83 unequal: No Solution
Exploring Operation: 86*23=1978, Resulting Numbers: [1978]
1978,83 unequal: No Solution
Exploring Operation: 86-23=63, Resulting Numbers: [63]
63,83 unequal: No Solution
No 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: 83:[96, 13], Operations: ['6+67=73', '86-73=13']
Exploring Operation: 96+13=109, Resulting Numbers: [109]
109,83 unequal: No Solution
Exploring Operation: 96-13=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[96, 86, 6, 67], Operations: []
Exploring Operation: 6+67=73, Resulting Numbers: [96, 86, 73]
Generated Node #0,0: 83:[96, 86, 73] Operation: 6+67=73
Moving to Node #0,0
Current State: 83:[96, 86, 73], Operations: ['6+67=73']
Exploring Operation: 86-73=13, Resulting Numbers: [96, 13]
Generated Node #0,0,0: 83:[96, 13] Operation: 86-73=13
Moving to Node #0,0,0
Current State: 83:[96, 13], Operations: ['6+67=73', '86-73=13']
Exploring Operation: 96-13=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
11,
44,
96,
71
] | 30 | [
"11+44=55",
"96-71=25",
"55-25=30"
] | Current State: 30:[11, 44, 96, 71], Operations: []
Exploring Operation: 11+44=55, Resulting Numbers: [96, 71, 55]
Generated Node #2: [96, 71, 55] from Operation: 11+44=55
Current State: 30:[96, 71, 55], Operations: ['11+44=55']
Exploring Operation: 96-71=25, Resulting Numbers: [55, 25]
Generated Node #3: [55, 25] from Operation: 96-71=25
Current State: 30:[55, 25], Operations: ['11+44=55', '96-71=25']
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[11, 44, 96, 71], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [11, 44, 25]
Generated Node #0,0: 30:[11, 44, 25] Operation: 96-71=25
Exploring Operation: 96-44=52, Resulting Numbers: [11, 71, 52]
Generated Node #0,1: 30:[11, 71, 52] Operation: 96-44=52
Moving to Node #0,0
Current State: 30:[11, 44, 25], Operations: ['96-71=25']
Exploring Operation: 44/11=4, Resulting Numbers: [25, 4]
Generated Node #0,0,0: 30:[25, 4] Operation: 44/11=4
Exploring Operation: 44-25=19, Resulting Numbers: [11, 19]
Generated Node #0,0,1: 30:[11, 19] Operation: 44-25=19
Moving to Node #0,1
Current State: 30:[11, 71, 52], Operations: ['96-44=52']
Exploring Operation: 71-11=60, Resulting Numbers: [52, 60]
Generated Node #0,1,0: 30:[52, 60] Operation: 71-11=60
Exploring Operation: 71-52=19, Resulting Numbers: [11, 19]
Generated Node #0,1,1: 30:[11, 19] Operation: 71-52=19
Moving to Node #0,0,1
Current State: 30:[11, 19], Operations: ['96-71=25', '44-25=19']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,30 unequal: No Solution
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[11, 44, 96, 71], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [11, 44, 25]
Generated Node #0,0: 30:[11, 44, 25] Operation: 96-71=25
Moving to Node #0,0
Current State: 30:[11, 44, 25], Operations: ['96-71=25']
Exploring Operation: 44-25=19, Resulting Numbers: [11, 19]
Generated Node #0,0,1: 30:[11, 19] Operation: 44-25=19
Moving to Node #0,0,1
Current State: 30:[11, 19], Operations: ['96-71=25', '44-25=19']
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
39,
2,
72,
47
] | 89 | [
"72-47=25",
"2*25=50",
"39+50=89"
] | Current State: 89:[39, 2, 72, 47], Operations: []
Exploring Operation: 72-47=25, Resulting Numbers: [39, 2, 25]
Generated Node #2: [39, 2, 25] from Operation: 72-47=25
Current State: 89:[39, 2, 25], Operations: ['72-47=25']
Exploring Operation: 2*25=50, Resulting Numbers: [39, 50]
Generated Node #3: [39, 50] from Operation: 2*25=50
Current State: 89:[39, 50], Operations: ['72-47=25', '2*25=50']
Exploring Operation: 39+50=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[39, 2, 72, 47], Operations: []
Exploring Operation: 39*2=78, Resulting Numbers: [72, 47, 78]
Generated Node #0,0: 89:[72, 47, 78] Operation: 39*2=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[72, 47, 78], Operations: ['39*2=78']
Exploring Operation: 72+47=119, Resulting Numbers: [78, 119]
Generated Node #0,0,0: 89:[78, 119] Operation: 72+47=119
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[78, 119], Operations: ['39*2=78', '72+47=119']
Exploring Operation: 119-78=41, Resulting Numbers: [41]
41,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
35,
12,
52,
6
] | 85 | [
"35+52=87",
"12/6=2",
"87-2=85"
] | Current State: 85:[35, 12, 52, 6], Operations: []
Exploring Operation: 35+52=87, Resulting Numbers: [12, 6, 87]
Generated Node #2: [12, 6, 87] from Operation: 35+52=87
Current State: 85:[12, 6, 87], Operations: ['35+52=87']
Exploring Operation: 12/6=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 12/6=2
Current State: 85:[87, 2], Operations: ['35+52=87', '12/6=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[35, 12, 52, 6], Operations: []
Exploring Operation: 52-35=17, Resulting Numbers: [12, 6, 17]
Generated Node #0,0: 85:[12, 6, 17] Operation: 52-35=17
Exploring Operation: 12+52=64, Resulting Numbers: [35, 6, 64]
Generated Node #0,1: 85:[35, 6, 64] Operation: 12+52=64
Exploring Operation: 35-12=23, Resulting Numbers: [52, 6, 23]
Generated Node #0,2: 85:[52, 6, 23] Operation: 35-12=23
Exploring Operation: 35+52=87, Resulting Numbers: [12, 6, 87]
Generated Node #0,3: 85:[12, 6, 87] Operation: 35+52=87
Exploring Operation: 52-12=40, Resulting Numbers: [35, 6, 40]
Generated Node #0,4: 85:[35, 6, 40] Operation: 52-12=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[12, 6, 17], Operations: ['52-35=17']
Exploring Operation: 12/6=2, Resulting Numbers: [17, 2]
Generated Node #0,0,0: 85:[17, 2] Operation: 12/6=2
Exploring Operation: 6+17=23, Resulting Numbers: [12, 23]
Generated Node #0,0,1: 85:[12, 23] Operation: 6+17=23
Exploring Operation: 12-6=6, Resulting Numbers: [17, 6]
Generated Node #0,0,2: 85:[17, 6] Operation: 12-6=6
Exploring Operation: 12+6=18, Resulting Numbers: [17, 18]
Generated Node #0,0,3: 85:[17, 18] Operation: 12+6=18
Exploring Operation: 17-12=5, Resulting Numbers: [6, 5]
Generated Node #0,0,4: 85:[6, 5] Operation: 17-12=5
Moving to Node #0,0,2
Current State: 85:[17, 6], Operations: ['52-35=17', '12-6=6']
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,85 unequal: No Solution
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,85 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Moving to Node #0,0,4
Current State: 85:[6, 5], Operations: ['52-35=17', '17-12=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,85 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,85 unequal: No Solution
Moving to Node #0,0,3
Current State: 85:[17, 18], Operations: ['52-35=17', '12+6=18']
Exploring Operation: 17*18=306, Resulting Numbers: [306]
306,85 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,85 unequal: No Solution
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Moving to Node #0,0,0
Current State: 85:[17, 2], Operations: ['52-35=17', '12/6=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,85 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,85 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[12, 23], Operations: ['52-35=17', '6+17=23']
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,85 unequal: No Solution
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[12, 6, 87], Operations: ['35+52=87']
Exploring Operation: 12/6=2, Resulting Numbers: [87, 2]
Generated Node #0,3,0: 85:[87, 2] Operation: 12/6=2
Exploring Operation: 12+6=18, Resulting Numbers: [87, 18]
Generated Node #0,3,1: 85:[87, 18] Operation: 12+6=18
Exploring Operation: 12-6=6, Resulting Numbers: [87, 6]
Generated Node #0,3,2: 85:[87, 6] Operation: 12-6=6
Exploring Operation: 87-12=75, Resulting Numbers: [6, 75]
Generated Node #0,3,3: 85:[6, 75] Operation: 87-12=75
Exploring Operation: 87-6=81, Resulting Numbers: [12, 81]
Generated Node #0,3,4: 85:[12, 81] Operation: 87-6=81
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 85:[87, 18], Operations: ['35+52=87', '12+6=18']
Exploring Operation: 87*18=1566, Resulting Numbers: [1566]
1566,85 unequal: No Solution
Exploring Operation: 87+18=105, Resulting Numbers: [105]
105,85 unequal: No Solution
Exploring Operation: 87-18=69, Resulting Numbers: [69]
69,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 85:[87, 6], Operations: ['35+52=87', '12-6=6']
Exploring Operation: 87*6=522, Resulting Numbers: [522]
522,85 unequal: No Solution
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Exploring Operation: 87+6=93, Resulting Numbers: [93]
93,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 85:[87, 2], Operations: ['35+52=87', '12/6=2']
Exploring Operation: 87*2=174, Resulting Numbers: [174]
174,85 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[35, 12, 52, 6], Operations: []
Exploring Operation: 35+52=87, Resulting Numbers: [12, 6, 87]
Generated Node #0,3: 85:[12, 6, 87] Operation: 35+52=87
Moving to Node #0,3
Current State: 85:[12, 6, 87], Operations: ['35+52=87']
Exploring Operation: 12/6=2, Resulting Numbers: [87, 2]
Generated Node #0,3,0: 85:[87, 2] Operation: 12/6=2
Moving to Node #0,3,0
Current State: 85:[87, 2], Operations: ['35+52=87', '12/6=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.963542 | hs_5 | sum_heuristic |
[
62,
54,
72,
36
] | 27 | [
"62-54=8",
"72/8=9",
"36-9=27"
] | Current State: 27:[62, 54, 72, 36], Operations: []
Exploring Operation: 62-54=8, Resulting Numbers: [72, 36, 8]
Generated Node #2: [72, 36, 8] from Operation: 62-54=8
Current State: 27:[72, 36, 8], Operations: ['62-54=8']
Exploring Operation: 72/8=9, Resulting Numbers: [36, 9]
Generated Node #3: [36, 9] from Operation: 72/8=9
Current State: 27:[36, 9], Operations: ['62-54=8', '72/8=9']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[62, 54, 72, 36], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [62, 54, 2]
Generated Node #0,0: 27:[62, 54, 2] Operation: 72/36=2
Exploring Operation: 72-62=10, Resulting Numbers: [54, 36, 10]
Generated Node #0,1: 27:[54, 36, 10] Operation: 72-62=10
Exploring Operation: 72-54=18, Resulting Numbers: [62, 36, 18]
Generated Node #0,2: 27:[62, 36, 18] Operation: 72-54=18
Exploring Operation: 62-54=8, Resulting Numbers: [72, 36, 8]
Generated Node #0,3: 27:[72, 36, 8] Operation: 62-54=8
Exploring Operation: 72-36=36, Resulting Numbers: [62, 54, 36]
Generated Node #0,4: 27:[62, 54, 36] Operation: 72-36=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[54, 36, 10], Operations: ['72-62=10']
Exploring Operation: 54-10=44, Resulting Numbers: [36, 44]
Generated Node #0,1,0: 27:[36, 44] Operation: 54-10=44
Exploring Operation: 36-10=26, Resulting Numbers: [54, 26]
Generated Node #0,1,1: 27:[54, 26] Operation: 36-10=26
Exploring Operation: 54-36=18, Resulting Numbers: [10, 18]
Generated Node #0,1,2: 27:[10, 18] Operation: 54-36=18
Exploring Operation: 54+10=64, Resulting Numbers: [36, 64]
Generated Node #0,1,3: 27:[36, 64] Operation: 54+10=64
Exploring Operation: 36+10=46, Resulting Numbers: [54, 46]
Generated Node #0,1,4: 27:[54, 46] Operation: 36+10=46
Moving to Node #0,1,2
Current State: 27:[10, 18], Operations: ['72-62=10', '54-36=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,27 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[36, 44], Operations: ['72-62=10', '54-10=44']
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,27 unequal: No Solution
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 36*44=1584, Resulting Numbers: [1584]
1584,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[54, 26], Operations: ['72-62=10', '36-10=26']
Exploring Operation: 54*26=1404, Resulting Numbers: [1404]
1404,27 unequal: No Solution
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Exploring Operation: 54+26=80, Resulting Numbers: [80]
80,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[36, 64], Operations: ['72-62=10', '54+10=64']
Exploring Operation: 36+64=100, Resulting Numbers: [100]
100,27 unequal: No Solution
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Exploring Operation: 36*64=2304, Resulting Numbers: [2304]
2304,27 unequal: No Solution
Moving to Node #0,1,4
Current State: 27:[54, 46], Operations: ['72-62=10', '36+10=46']
Exploring Operation: 54+46=100, Resulting Numbers: [100]
100,27 unequal: No Solution
Exploring Operation: 54-46=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 54*46=2484, Resulting Numbers: [2484]
2484,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[62, 36, 18], Operations: ['72-54=18']
Exploring Operation: 36/18=2, Resulting Numbers: [62, 2]
Generated Node #0,2,0: 27:[62, 2] Operation: 36/18=2
Exploring Operation: 62-36=26, Resulting Numbers: [18, 26]
Generated Node #0,2,1: 27:[18, 26] Operation: 62-36=26
Exploring Operation: 62+18=80, Resulting Numbers: [36, 80]
Generated Node #0,2,2: 27:[36, 80] Operation: 62+18=80
Exploring Operation: 62-18=44, Resulting Numbers: [36, 44]
Generated Node #0,2,3: 27:[36, 44] Operation: 62-18=44
Exploring Operation: 36-18=18, Resulting Numbers: [62, 18]
Generated Node #0,2,4: 27:[62, 18] Operation: 36-18=18
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 27:[18, 26], Operations: ['72-54=18', '62-36=26']
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 18+26=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 18*26=468, Resulting Numbers: [468]
468,27 unequal: No Solution
No 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: 27:[36, 44], Operations: ['72-54=18', '62-18=44']
Exploring Operation: 36*44=1584, Resulting Numbers: [1584]
1584,27 unequal: No Solution
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,27 unequal: No Solution
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,27 unequal: No Solution
No 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: 27:[62, 2], Operations: ['72-54=18', '36/18=2']
Exploring Operation: 62*2=124, Resulting Numbers: [124]
124,27 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,27 unequal: No Solution
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,27 unequal: No Solution
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 27:[62, 18], Operations: ['72-54=18', '36-18=18']
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,27 unequal: No Solution
Exploring Operation: 62*18=1116, Resulting Numbers: [1116]
1116,27 unequal: No Solution
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,27 unequal: No Solution
No 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: 27:[36, 80], Operations: ['72-54=18', '62+18=80']
Exploring Operation: 36+80=116, Resulting Numbers: [116]
116,27 unequal: No Solution
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 36*80=2880, Resulting Numbers: [2880]
2880,27 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: 27:[72, 36, 8], Operations: ['62-54=8']
Exploring Operation: 36-8=28, Resulting Numbers: [72, 28]
Generated Node #0,3,0: 27:[72, 28] Operation: 36-8=28
Exploring Operation: 72-36=36, Resulting Numbers: [8, 36]
Generated Node #0,3,1: 27:[8, 36] Operation: 72-36=36
Exploring Operation: 72/8=9, Resulting Numbers: [36, 9]
Generated Node #0,3,2: 27:[36, 9] Operation: 72/8=9
Exploring Operation: 72-8=64, Resulting Numbers: [36, 64]
Generated Node #0,3,3: 27:[36, 64] Operation: 72-8=64
Exploring Operation: 72/36=2, Resulting Numbers: [8, 2]
Generated Node #0,3,4: 27:[8, 2] Operation: 72/36=2
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 27:[8, 2], Operations: ['62-54=8', '72/36=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,27 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,27 unequal: No Solution
No 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: 27:[36, 9], Operations: ['62-54=8', '72/8=9']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[62, 54, 72, 36], Operations: []
Exploring Operation: 62-54=8, Resulting Numbers: [72, 36, 8]
Generated Node #0,3: 27:[72, 36, 8] Operation: 62-54=8
Moving to Node #0,3
Current State: 27:[72, 36, 8], Operations: ['62-54=8']
Exploring Operation: 72/8=9, Resulting Numbers: [36, 9]
Generated Node #0,3,2: 27:[36, 9] Operation: 72/8=9
Moving to Node #0,3,2
Current State: 27:[36, 9], Operations: ['62-54=8', '72/8=9']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.947917 | hs_5 | mult_heuristic |
[
18,
23,
61,
57
] | 49 | [
"61-57=4",
"18*4=72",
"72-23=49"
] | Current State: 49:[18, 23, 61, 57], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [18, 23, 4]
Generated Node #2: [18, 23, 4] from Operation: 61-57=4
Current State: 49:[18, 23, 4], Operations: ['61-57=4']
Exploring Operation: 18*4=72, Resulting Numbers: [23, 72]
Generated Node #3: [23, 72] from Operation: 18*4=72
Current State: 49:[23, 72], Operations: ['61-57=4', '18*4=72']
Exploring Operation: 72-23=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[18, 23, 61, 57], Operations: []
Exploring Operation: 23-18=5, Resulting Numbers: [61, 57, 5]
Generated Node #0,0: 49:[61, 57, 5] Operation: 23-18=5
Exploring Operation: 18+23=41, Resulting Numbers: [61, 57, 41]
Generated Node #0,1: 49:[61, 57, 41] Operation: 18+23=41
Exploring Operation: 61-57=4, Resulting Numbers: [18, 23, 4]
Generated Node #0,2: 49:[18, 23, 4] Operation: 61-57=4
Exploring Operation: 61-18=43, Resulting Numbers: [23, 57, 43]
Generated Node #0,3: 49:[23, 57, 43] Operation: 61-18=43
Exploring Operation: 61-23=38, Resulting Numbers: [18, 57, 38]
Generated Node #0,4: 49:[18, 57, 38] Operation: 61-23=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[61, 57, 5], Operations: ['23-18=5']
Exploring Operation: 57-5=52, Resulting Numbers: [61, 52]
Generated Node #0,0,0: 49:[61, 52] Operation: 57-5=52
Exploring Operation: 61+5=66, Resulting Numbers: [57, 66]
Generated Node #0,0,1: 49:[57, 66] Operation: 61+5=66
Exploring Operation: 61-5=56, Resulting Numbers: [57, 56]
Generated Node #0,0,2: 49:[57, 56] Operation: 61-5=56
Exploring Operation: 57+5=62, Resulting Numbers: [61, 62]
Generated Node #0,0,3: 49:[61, 62] Operation: 57+5=62
Exploring Operation: 61-57=4, Resulting Numbers: [5, 4]
Generated Node #0,0,4: 49:[5, 4] Operation: 61-57=4
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 49:[5, 4], Operations: ['23-18=5', '61-57=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[61, 52], Operations: ['23-18=5', '57-5=52']
Exploring Operation: 61+52=113, Resulting Numbers: [113]
113,49 unequal: No Solution
Exploring Operation: 61*52=3172, Resulting Numbers: [3172]
3172,49 unequal: No Solution
Exploring Operation: 61-52=9, Resulting Numbers: [9]
9,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 49:[57, 56], Operations: ['23-18=5', '61-5=56']
Exploring Operation: 57*56=3192, Resulting Numbers: [3192]
3192,49 unequal: No Solution
Exploring Operation: 57-56=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 57+56=113, Resulting Numbers: [113]
113,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[57, 66], Operations: ['23-18=5', '61+5=66']
Exploring Operation: 57*66=3762, Resulting Numbers: [3762]
3762,49 unequal: No Solution
Exploring Operation: 66-57=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 57+66=123, Resulting Numbers: [123]
123,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 49:[61, 62], Operations: ['23-18=5', '57+5=62']
Exploring Operation: 61+62=123, Resulting Numbers: [123]
123,49 unequal: No Solution
Exploring Operation: 61*62=3782, Resulting Numbers: [3782]
3782,49 unequal: No Solution
Exploring Operation: 62-61=1, Resulting Numbers: [1]
1,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[61, 57, 41], Operations: ['18+23=41']
Exploring Operation: 57-41=16, Resulting Numbers: [61, 16]
Generated Node #0,1,0: 49:[61, 16] Operation: 57-41=16
Exploring Operation: 57+41=98, Resulting Numbers: [61, 98]
Generated Node #0,1,1: 49:[61, 98] Operation: 57+41=98
Exploring Operation: 61+41=102, Resulting Numbers: [57, 102]
Generated Node #0,1,2: 49:[57, 102] Operation: 61+41=102
Exploring Operation: 61-57=4, Resulting Numbers: [41, 4]
Generated Node #0,1,3: 49:[41, 4] Operation: 61-57=4
Exploring Operation: 61-41=20, Resulting Numbers: [57, 20]
Generated Node #0,1,4: 49:[57, 20] Operation: 61-41=20
Moving to Node #0,1,3
Current State: 49:[41, 4], Operations: ['18+23=41', '61-57=4']
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,49 unequal: No Solution
Moving to Node #0,1,4
Current State: 49:[57, 20], Operations: ['18+23=41', '61-41=20']
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Exploring Operation: 57*20=1140, Resulting Numbers: [1140]
1140,49 unequal: No Solution
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[61, 16], Operations: ['18+23=41', '57-41=16']
Exploring Operation: 61*16=976, Resulting Numbers: [976]
976,49 unequal: No Solution
Exploring Operation: 61+16=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[61, 98], Operations: ['18+23=41', '57+41=98']
Exploring Operation: 98-61=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 61+98=159, Resulting Numbers: [159]
159,49 unequal: No Solution
Exploring Operation: 61*98=5978, Resulting Numbers: [5978]
5978,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[57, 102], Operations: ['18+23=41', '61+41=102']
Exploring Operation: 102-57=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 57*102=5814, Resulting Numbers: [5814]
5814,49 unequal: No Solution
Exploring Operation: 57+102=159, Resulting Numbers: [159]
159,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[18, 23, 4], Operations: ['61-57=4']
Exploring Operation: 23-18=5, Resulting Numbers: [4, 5]
Generated Node #0,2,0: 49:[4, 5] Operation: 23-18=5
Exploring Operation: 23-4=19, Resulting Numbers: [18, 19]
Generated Node #0,2,1: 49:[18, 19] Operation: 23-4=19
Exploring Operation: 18+4=22, Resulting Numbers: [23, 22]
Generated Node #0,2,2: 49:[23, 22] Operation: 18+4=22
Exploring Operation: 18-4=14, Resulting Numbers: [23, 14]
Generated Node #0,2,3: 49:[23, 14] Operation: 18-4=14
Exploring Operation: 18+23=41, Resulting Numbers: [4, 41]
Generated Node #0,2,4: 49:[4, 41] Operation: 18+23=41
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 49:[4, 5], Operations: ['61-57=4', '23-18=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 49:[4, 41], Operations: ['61-57=4', '18+23=41']
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,49 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 49:[18, 19], Operations: ['61-57=4', '23-4=19']
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,49 unequal: No Solution
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 49:[23, 14], Operations: ['61-57=4', '18-4=14']
Exploring Operation: 23*14=322, Resulting Numbers: [322]
322,49 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[23, 22], Operations: ['61-57=4', '18+4=22']
Exploring Operation: 23*22=506, Resulting Numbers: [506]
506,49 unequal: No Solution
Exploring Operation: 23+22=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[23, 57, 43], Operations: ['61-18=43']
Exploring Operation: 23+57=80, Resulting Numbers: [43, 80]
Generated Node #0,3,0: 49:[43, 80] Operation: 23+57=80
Exploring Operation: 57-43=14, Resulting Numbers: [23, 14]
Generated Node #0,3,1: 49:[23, 14] Operation: 57-43=14
Exploring Operation: 57-23=34, Resulting Numbers: [43, 34]
Generated Node #0,3,2: 49:[43, 34] Operation: 57-23=34
Exploring Operation: 23+43=66, Resulting Numbers: [57, 66]
Generated Node #0,3,3: 49:[57, 66] Operation: 23+43=66
Exploring Operation: 43-23=20, Resulting Numbers: [57, 20]
Generated Node #0,3,4: 49:[57, 20] Operation: 43-23=20
Moving to Node #0,3,2
Current State: 49:[43, 34], Operations: ['61-18=43', '57-23=34']
Exploring Operation: 43*34=1462, Resulting Numbers: [1462]
1462,49 unequal: No Solution
Exploring Operation: 43-34=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 43+34=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Moving to Node #0,3,4
Current State: 49:[57, 20], Operations: ['61-18=43', '43-23=20']
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Exploring Operation: 57*20=1140, Resulting Numbers: [1140]
1140,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[23, 14], Operations: ['61-18=43', '57-43=14']
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 23*14=322, Resulting Numbers: [322]
322,49 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[57, 66], Operations: ['61-18=43', '23+43=66']
Exploring Operation: 66-57=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 57+66=123, Resulting Numbers: [123]
123,49 unequal: No Solution
Exploring Operation: 57*66=3762, Resulting Numbers: [3762]
3762,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[43, 80], Operations: ['61-18=43', '23+57=80']
Exploring Operation: 43*80=3440, Resulting Numbers: [3440]
3440,49 unequal: No Solution
Exploring Operation: 43+80=123, Resulting Numbers: [123]
123,49 unequal: No Solution
Exploring Operation: 80-43=37, Resulting Numbers: [37]
37,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 49:[18, 57, 38], Operations: ['61-23=38']
Exploring Operation: 38-18=20, Resulting Numbers: [57, 20]
Generated Node #0,4,0: 49:[57, 20] Operation: 38-18=20
Exploring Operation: 57-18=39, Resulting Numbers: [38, 39]
Generated Node #0,4,1: 49:[38, 39] Operation: 57-18=39
Exploring Operation: 18+38=56, Resulting Numbers: [57, 56]
Generated Node #0,4,2: 49:[57, 56] Operation: 18+38=56
Exploring Operation: 57-38=19, Resulting Numbers: [18, 19]
Generated Node #0,4,3: 49:[18, 19] Operation: 57-38=19
Exploring Operation: 18+57=75, Resulting Numbers: [38, 75]
Generated Node #0,4,4: 49:[38, 75] Operation: 18+57=75
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 49:[57, 56], Operations: ['61-23=38', '18+38=56']
Exploring Operation: 57+56=113, Resulting Numbers: [113]
113,49 unequal: No Solution
Exploring Operation: 57-56=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 57*56=3192, Resulting Numbers: [3192]
3192,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 49:[57, 20], Operations: ['61-23=38', '38-18=20']
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Exploring Operation: 57*20=1140, Resulting Numbers: [1140]
1140,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 49:[38, 39], Operations: ['61-23=38', '57-18=39']
Exploring Operation: 38*39=1482, Resulting Numbers: [1482]
1482,49 unequal: No Solution
Exploring Operation: 38+39=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Exploring Operation: 39-38=1, Resulting Numbers: [1]
1,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 49:[18, 19], Operations: ['61-23=38', '57-38=19']
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 49:[38, 75], Operations: ['61-23=38', '18+57=75']
Exploring Operation: 38*75=2850, Resulting Numbers: [2850]
2850,49 unequal: No Solution
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 38+75=113, Resulting Numbers: [113]
113,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
25,
3,
75,
74
] | 83 | [
"75/25=3",
"3*3=9",
"74+9=83"
] | Current State: 83:[25, 3, 75, 74], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [3, 74, 3]
Generated Node #2: [3, 74, 3] from Operation: 75/25=3
Current State: 83:[3, 74, 3], Operations: ['75/25=3']
Exploring Operation: 3*3=9, Resulting Numbers: [74, 9]
Generated Node #3: [74, 9] from Operation: 3*3=9
Current State: 83:[74, 9], Operations: ['75/25=3', '3*3=9']
Exploring Operation: 74+9=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[25, 3, 75, 74], Operations: []
Exploring Operation: 25*3=75, Resulting Numbers: [75, 74, 75]
Generated Node #0,0: 83:[75, 74, 75] Operation: 25*3=75
Moving to Node #0,0
Current State: 83:[75, 74, 75], Operations: ['25*3=75']
Exploring Operation: 75+74=149, Resulting Numbers: [75, 149]
Generated Node #0,0,0: 83:[75, 149] Operation: 75+74=149
Moving to Node #0,0,0
Current State: 83:[75, 149], Operations: ['25*3=75', '75+74=149']
Exploring Operation: 149-75=74, Resulting Numbers: [74]
74,83 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
11,
88,
26,
52
] | 51 | [
"88-11=77",
"52-26=26",
"77-26=51"
] | Current State: 51:[11, 88, 26, 52], Operations: []
Exploring Operation: 88-11=77, Resulting Numbers: [26, 52, 77]
Generated Node #2: [26, 52, 77] from Operation: 88-11=77
Current State: 51:[26, 52, 77], Operations: ['88-11=77']
Exploring Operation: 52-26=26, Resulting Numbers: [77, 26]
Generated Node #3: [77, 26] from Operation: 52-26=26
Current State: 51:[77, 26], Operations: ['88-11=77', '52-26=26']
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[11, 88, 26, 52], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [26, 52, 8]
Generated Node #0,0: 51:[26, 52, 8] Operation: 88/11=8
Exploring Operation: 88-11=77, Resulting Numbers: [26, 52, 77]
Generated Node #0,1: 51:[26, 52, 77] Operation: 88-11=77
Exploring Operation: 88-26=62, Resulting Numbers: [11, 52, 62]
Generated Node #0,2: 51:[11, 52, 62] Operation: 88-26=62
Exploring Operation: 88-52=36, Resulting Numbers: [11, 26, 36]
Generated Node #0,3: 51:[11, 26, 36] Operation: 88-52=36
Moving to Node #0,0
Current State: 51:[26, 52, 8], Operations: ['88/11=8']
Exploring Operation: 26-8=18, Resulting Numbers: [52, 18]
Generated Node #0,0,0: 51:[52, 18] Operation: 26-8=18
Exploring Operation: 52/26=2, Resulting Numbers: [8, 2]
Generated Node #0,0,1: 51:[8, 2] Operation: 52/26=2
Exploring Operation: 52-26=26, Resulting Numbers: [8, 26]
Generated Node #0,0,2: 51:[8, 26] Operation: 52-26=26
Exploring Operation: 52-8=44, Resulting Numbers: [26, 44]
Generated Node #0,0,3: 51:[26, 44] Operation: 52-8=44
Moving to Node #0,2
Current State: 51:[11, 52, 62], Operations: ['88-26=62']
Exploring Operation: 11+52=63, Resulting Numbers: [62, 63]
Generated Node #0,2,0: 51:[62, 63] Operation: 11+52=63
Exploring Operation: 52-11=41, Resulting Numbers: [62, 41]
Generated Node #0,2,1: 51:[62, 41] Operation: 52-11=41
Exploring Operation: 62-11=51, Resulting Numbers: [52, 51]
Generated Node #0,2,2: 51:[52, 51] Operation: 62-11=51
Exploring Operation: 62-52=10, Resulting Numbers: [11, 10]
Generated Node #0,2,3: 51:[11, 10] Operation: 62-52=10
Moving to Node #0,3
Current State: 51:[11, 26, 36], Operations: ['88-52=36']
Exploring Operation: 36-11=25, Resulting Numbers: [26, 25]
Generated Node #0,3,0: 51:[26, 25] Operation: 36-11=25
Exploring Operation: 36-26=10, Resulting Numbers: [11, 10]
Generated Node #0,3,1: 51:[11, 10] Operation: 36-26=10
Exploring Operation: 26-11=15, Resulting Numbers: [36, 15]
Generated Node #0,3,2: 51:[36, 15] Operation: 26-11=15
Exploring Operation: 11+36=47, Resulting Numbers: [26, 47]
Generated Node #0,3,3: 51:[26, 47] Operation: 11+36=47
Moving to Node #0,1
Current State: 51:[26, 52, 77], Operations: ['88-11=77']
Exploring Operation: 77-52=25, Resulting Numbers: [26, 25]
Generated Node #0,1,0: 51:[26, 25] Operation: 77-52=25
Exploring Operation: 52-26=26, Resulting Numbers: [77, 26]
Generated Node #0,1,1: 51:[77, 26] Operation: 52-26=26
Exploring Operation: 52/26=2, Resulting Numbers: [77, 2]
Generated Node #0,1,2: 51:[77, 2] Operation: 52/26=2
Exploring Operation: 77-26=51, Resulting Numbers: [52, 51]
Generated Node #0,1,3: 51:[52, 51] Operation: 77-26=51
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 51:[52, 51], Operations: ['88-11=77', '77-26=51']
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 52+51=103, Resulting Numbers: [103]
103,51 unequal: No Solution
Exploring Operation: 52*51=2652, Resulting Numbers: [2652]
2652,51 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 #0,1,0
Current State: 51:[26, 25], Operations: ['88-11=77', '77-52=25']
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,51 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[11, 88, 26, 52], Operations: []
Exploring Operation: 88-11=77, Resulting Numbers: [26, 52, 77]
Generated Node #0,1: 51:[26, 52, 77] Operation: 88-11=77
Moving to Node #0,1
Current State: 51:[26, 52, 77], Operations: ['88-11=77']
Exploring Operation: 77-52=25, Resulting Numbers: [26, 25]
Generated Node #0,1,0: 51:[26, 25] Operation: 77-52=25
Moving to Node #0,1,0
Current State: 51:[26, 25], Operations: ['88-11=77', '77-52=25']
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
41,
47,
55,
47
] | 55 | [
"47-47=0",
"41*0=0",
"55+0=55"
] | Current State: 55:[41, 47, 55, 47], Operations: []
Exploring Operation: 47-47=0, Resulting Numbers: [41, 55, 0]
Generated Node #2: [41, 55, 0] from Operation: 47-47=0
Current State: 55:[41, 55, 0], Operations: ['47-47=0']
Exploring Operation: 41*0=0, Resulting Numbers: [55, 0]
Generated Node #3: [55, 0] from Operation: 41*0=0
Current State: 55:[55, 0], Operations: ['47-47=0', '41*0=0']
Exploring Operation: 55+0=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[41, 47, 55, 47], Operations: []
Exploring Operation: 47/47=1, Resulting Numbers: [41, 55, 1]
Generated Node #0,0: 55:[41, 55, 1] Operation: 47/47=1
Exploring Operation: 55-41=14, Resulting Numbers: [47, 47, 14]
Generated Node #0,1: 55:[47, 47, 14] Operation: 55-41=14
Exploring Operation: 47-41=6, Resulting Numbers: [47, 55, 6]
Generated Node #0,2: 55:[47, 55, 6] Operation: 47-41=6
Exploring Operation: 47-41=6, Resulting Numbers: [55, 47, 6]
Generated Node #0,3: 55:[55, 47, 6] Operation: 47-41=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[47, 55, 6], Operations: ['47-41=6']
Exploring Operation: 47-6=41, Resulting Numbers: [55, 41]
Generated Node #0,2,0: 55:[55, 41] Operation: 47-6=41
Exploring Operation: 55-47=8, Resulting Numbers: [6, 8]
Generated Node #0,2,1: 55:[6, 8] Operation: 55-47=8
Exploring Operation: 47+6=53, Resulting Numbers: [55, 53]
Generated Node #0,2,2: 55:[55, 53] Operation: 47+6=53
Exploring Operation: 55+6=61, Resulting Numbers: [47, 61]
Generated Node #0,2,3: 55:[47, 61] Operation: 55+6=61
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 55:[55, 53], Operations: ['47-41=6', '47+6=53']
Exploring Operation: 55+53=108, Resulting Numbers: [108]
108,55 unequal: No Solution
Exploring Operation: 55*53=2915, Resulting Numbers: [2915]
2915,55 unequal: No Solution
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 55:[6, 8], Operations: ['47-41=6', '55-47=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,55 unequal: No Solution
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 55:[55, 41], Operations: ['47-41=6', '47-6=41']
Exploring Operation: 55*41=2255, Resulting Numbers: [2255]
2255,55 unequal: No Solution
Exploring Operation: 55+41=96, Resulting Numbers: [96]
96,55 unequal: No Solution
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 55:[47, 61], Operations: ['47-41=6', '55+6=61']
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,55 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[55, 47, 6], Operations: ['47-41=6']
Exploring Operation: 55-6=49, Resulting Numbers: [47, 49]
Generated Node #0,3,0: 55:[47, 49] Operation: 55-6=49
Exploring Operation: 55-47=8, Resulting Numbers: [6, 8]
Generated Node #0,3,1: 55:[6, 8] Operation: 55-47=8
Exploring Operation: 55+6=61, Resulting Numbers: [47, 61]
Generated Node #0,3,2: 55:[47, 61] Operation: 55+6=61
Exploring Operation: 47+6=53, Resulting Numbers: [55, 53]
Generated Node #0,3,3: 55:[55, 53] Operation: 47+6=53
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 55:[55, 53], Operations: ['47-41=6', '47+6=53']
Exploring Operation: 55*53=2915, Resulting Numbers: [2915]
2915,55 unequal: No Solution
Exploring Operation: 55+53=108, Resulting Numbers: [108]
108,55 unequal: No Solution
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 55:[6, 8], Operations: ['47-41=6', '55-47=8']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,55 unequal: No Solution
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,55 unequal: No Solution
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 55:[47, 49], Operations: ['47-41=6', '55-6=49']
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,55 unequal: No Solution
Exploring Operation: 47*49=2303, Resulting Numbers: [2303]
2303,55 unequal: No Solution
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 55:[47, 61], Operations: ['47-41=6', '55+6=61']
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,55 unequal: No Solution
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,55 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[41, 55, 1], Operations: ['47/47=1']
Exploring Operation: 41+1=42, Resulting Numbers: [55, 42]
Generated Node #0,0,0: 55:[55, 42] Operation: 41+1=42
Exploring Operation: 41*1=41, Resulting Numbers: [55, 41]
Generated Node #0,0,1: 55:[55, 41] Operation: 41*1=41
Exploring Operation: 55-41=14, Resulting Numbers: [1, 14]
Generated Node #0,0,2: 55:[1, 14] Operation: 55-41=14
Exploring Operation: 41/1=41, Resulting Numbers: [55, 41]
Generated Node #0,0,3: 55:[55, 41] Operation: 41/1=41
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 55:[1, 14], Operations: ['47/47=1', '55-41=14']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[55, 42], Operations: ['47/47=1', '41+1=42']
Exploring Operation: 55-42=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 55+42=97, Resulting Numbers: [97]
97,55 unequal: No Solution
Exploring Operation: 55*42=2310, Resulting Numbers: [2310]
2310,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 55:[55, 41], Operations: ['47/47=1', '41*1=41']
Exploring Operation: 55*41=2255, Resulting Numbers: [2255]
2255,55 unequal: No Solution
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 55+41=96, Resulting Numbers: [96]
96,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 55:[55, 41], Operations: ['47/47=1', '41/1=41']
Exploring Operation: 55*41=2255, Resulting Numbers: [2255]
2255,55 unequal: No Solution
Exploring Operation: 55+41=96, Resulting Numbers: [96]
96,55 unequal: No Solution
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[47, 47, 14], Operations: ['55-41=14']
Exploring Operation: 47/47=1, Resulting Numbers: [14, 1]
Generated Node #0,1,0: 55:[14, 1] Operation: 47/47=1
Exploring Operation: 47+14=61, Resulting Numbers: [47, 61]
Generated Node #0,1,1: 55:[47, 61] Operation: 47+14=61
Exploring Operation: 47-47=0, Resulting Numbers: [14, 0]
Generated Node #0,1,2: 55:[14, 0] Operation: 47-47=0
Exploring Operation: 47+14=61, Resulting Numbers: [47, 61]
Generated Node #0,1,3: 55:[47, 61] Operation: 47+14=61
Moving to Node #0,1,0
Current State: 55:[14, 1], Operations: ['55-41=14', '47/47=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[14, 0], Operations: ['55-41=14', '47-47=0']
Exploring Operation: 14*0=0, Resulting Numbers: [0]
0,55 unequal: No Solution
Exploring Operation: 14+0=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 14-0=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[47, 61], Operations: ['55-41=14', '47+14=61']
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,55 unequal: No Solution
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,55 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[47, 61], Operations: ['55-41=14', '47+14=61']
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,55 unequal: No Solution
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,55 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 |
[
54,
15,
24,
2
] | 61 | [
"54-15=39",
"24-2=22",
"39+22=61"
] | Current State: 61:[54, 15, 24, 2], Operations: []
Exploring Operation: 54-15=39, Resulting Numbers: [24, 2, 39]
Generated Node #2: [24, 2, 39] from Operation: 54-15=39
Current State: 61:[24, 2, 39], Operations: ['54-15=39']
Exploring Operation: 24-2=22, Resulting Numbers: [39, 22]
Generated Node #3: [39, 22] from Operation: 24-2=22
Current State: 61:[39, 22], Operations: ['54-15=39', '24-2=22']
Exploring Operation: 39+22=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[54, 15, 24, 2], Operations: []
Exploring Operation: 15+24=39, Resulting Numbers: [54, 2, 39]
Generated Node #0,0: 61:[54, 2, 39] Operation: 15+24=39
Exploring Operation: 24*2=48, Resulting Numbers: [54, 15, 48]
Generated Node #0,1: 61:[54, 15, 48] Operation: 24*2=48
Exploring Operation: 15+2=17, Resulting Numbers: [54, 24, 17]
Generated Node #0,2: 61:[54, 24, 17] Operation: 15+2=17
Exploring Operation: 54+2=56, Resulting Numbers: [15, 24, 56]
Generated Node #0,3: 61:[15, 24, 56] Operation: 54+2=56
Exploring Operation: 15*2=30, Resulting Numbers: [54, 24, 30]
Generated Node #0,4: 61:[54, 24, 30] Operation: 15*2=30
Moving to Node #0,1
Current State: 61:[54, 15, 48], Operations: ['24*2=48']
Exploring Operation: 48-15=33, Resulting Numbers: [54, 33]
Generated Node #0,1,0: 61:[54, 33] Operation: 48-15=33
Exploring Operation: 54+48=102, Resulting Numbers: [15, 102]
Generated Node #0,1,1: 61:[15, 102] Operation: 54+48=102
Exploring Operation: 54+15=69, Resulting Numbers: [48, 69]
Generated Node #0,1,2: 61:[48, 69] Operation: 54+15=69
Exploring Operation: 54-15=39, Resulting Numbers: [48, 39]
Generated Node #0,1,3: 61:[48, 39] Operation: 54-15=39
Exploring Operation: 15+48=63, Resulting Numbers: [54, 63]
Generated Node #0,1,4: 61:[54, 63] Operation: 15+48=63
Moving to Node #0,4
Current State: 61:[54, 24, 30], Operations: ['15*2=30']
Exploring Operation: 54+30=84, Resulting Numbers: [24, 84]
Generated Node #0,4,0: 61:[24, 84] Operation: 54+30=84
Exploring Operation: 24+30=54, Resulting Numbers: [54, 54]
Generated Node #0,4,1: 61:[54, 54] Operation: 24+30=54
Exploring Operation: 54+24=78, Resulting Numbers: [30, 78]
Generated Node #0,4,2: 61:[30, 78] Operation: 54+24=78
Exploring Operation: 30-24=6, Resulting Numbers: [54, 6]
Generated Node #0,4,3: 61:[54, 6] Operation: 30-24=6
Exploring Operation: 54-24=30, Resulting Numbers: [30, 30]
Generated Node #0,4,4: 61:[30, 30] Operation: 54-24=30
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 61:[54, 54], Operations: ['15*2=30', '24+30=54']
Exploring Operation: 54/54=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 54*54=2916, Resulting Numbers: [2916]
2916,61 unequal: No Solution
Exploring Operation: 54+54=108, Resulting Numbers: [108]
108,61 unequal: No Solution
Exploring Operation: 54-54=0, Resulting Numbers: [0]
0,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 61:[30, 78], Operations: ['15*2=30', '54+24=78']
Exploring Operation: 30*78=2340, Resulting Numbers: [2340]
2340,61 unequal: No Solution
Exploring Operation: 30+78=108, Resulting Numbers: [108]
108,61 unequal: No Solution
Exploring Operation: 78-30=48, Resulting Numbers: [48]
48,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 61:[24, 84], Operations: ['15*2=30', '54+30=84']
Exploring Operation: 24+84=108, Resulting Numbers: [108]
108,61 unequal: No Solution
Exploring Operation: 24*84=2016, Resulting Numbers: [2016]
2016,61 unequal: No Solution
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 61:[54, 6], Operations: ['15*2=30', '30-24=6']
Exploring Operation: 54*6=324, Resulting Numbers: [324]
324,61 unequal: No Solution
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,61 unequal: No Solution
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,61 unequal: No Solution
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 61:[30, 30], Operations: ['15*2=30', '54-24=30']
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,61 unequal: No Solution
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,61 unequal: No Solution
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,61 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:[54, 2, 39], Operations: ['15+24=39']
Exploring Operation: 54+2=56, Resulting Numbers: [39, 56]
Generated Node #0,0,0: 61:[39, 56] Operation: 54+2=56
Exploring Operation: 54-2=52, Resulting Numbers: [39, 52]
Generated Node #0,0,1: 61:[39, 52] Operation: 54-2=52
Exploring Operation: 2+39=41, Resulting Numbers: [54, 41]
Generated Node #0,0,2: 61:[54, 41] Operation: 2+39=41
Exploring Operation: 39-2=37, Resulting Numbers: [54, 37]
Generated Node #0,0,3: 61:[54, 37] Operation: 39-2=37
Exploring Operation: 2*39=78, Resulting Numbers: [54, 78]
Generated Node #0,0,4: 61:[54, 78] Operation: 2*39=78
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 61:[54, 78], Operations: ['15+24=39', '2*39=78']
Exploring Operation: 54*78=4212, Resulting Numbers: [4212]
4212,61 unequal: No Solution
Exploring Operation: 54+78=132, Resulting Numbers: [132]
132,61 unequal: No Solution
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,61 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 #0,0,0
Current State: 61:[39, 56], Operations: ['15+24=39', '54+2=56']
Exploring Operation: 39*56=2184, Resulting Numbers: [2184]
2184,61 unequal: No Solution
Exploring Operation: 56-39=17, Resulting Numbers: [17]
17,61 unequal: No Solution
Exploring Operation: 39+56=95, Resulting Numbers: [95]
95,61 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 #0,0,2
Current State: 61:[54, 41], Operations: ['15+24=39', '2+39=41']
Exploring Operation: 54+41=95, Resulting Numbers: [95]
95,61 unequal: No Solution
Exploring Operation: 54*41=2214, Resulting Numbers: [2214]
2214,61 unequal: No Solution
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,61 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 #0,0,1
Current State: 61:[39, 52], Operations: ['15+24=39', '54-2=52']
Exploring Operation: 39+52=91, Resulting Numbers: [91]
91,61 unequal: No Solution
Exploring Operation: 39*52=2028, Resulting Numbers: [2028]
2028,61 unequal: No Solution
Exploring Operation: 52-39=13, Resulting Numbers: [13]
13,61 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 #0,0,3
Current State: 61:[54, 37], Operations: ['15+24=39', '39-2=37']
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,61 unequal: No Solution
Exploring Operation: 54+37=91, Resulting Numbers: [91]
91,61 unequal: No Solution
Exploring Operation: 54*37=1998, Resulting Numbers: [1998]
1998,61 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:[54, 24, 17], Operations: ['15+2=17']
Exploring Operation: 24-17=7, Resulting Numbers: [54, 7]
Generated Node #0,2,0: 61:[54, 7] Operation: 24-17=7
Exploring Operation: 54-17=37, Resulting Numbers: [24, 37]
Generated Node #0,2,1: 61:[24, 37] Operation: 54-17=37
Exploring Operation: 54+24=78, Resulting Numbers: [17, 78]
Generated Node #0,2,2: 61:[17, 78] Operation: 54+24=78
Exploring Operation: 24+17=41, Resulting Numbers: [54, 41]
Generated Node #0,2,3: 61:[54, 41] Operation: 24+17=41
Exploring Operation: 54+17=71, Resulting Numbers: [24, 71]
Generated Node #0,2,4: 61:[24, 71] Operation: 54+17=71
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 61:[54, 41], Operations: ['15+2=17', '24+17=41']
Exploring Operation: 54*41=2214, Resulting Numbers: [2214]
2214,61 unequal: No Solution
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,61 unequal: No Solution
Exploring Operation: 54+41=95, Resulting Numbers: [95]
95,61 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 #0,2,4
Current State: 61:[24, 71], Operations: ['15+2=17', '54+17=71']
Exploring Operation: 24+71=95, Resulting Numbers: [95]
95,61 unequal: No Solution
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,61 unequal: No Solution
Exploring Operation: 24*71=1704, Resulting Numbers: [1704]
1704,61 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:[54, 7], Operations: ['15+2=17', '24-17=7']
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,61 unequal: No Solution
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[54, 15, 24, 2], Operations: []
Exploring Operation: 15+2=17, Resulting Numbers: [54, 24, 17]
Generated Node #0,2: 61:[54, 24, 17] Operation: 15+2=17
Moving to Node #0,2
Current State: 61:[54, 24, 17], Operations: ['15+2=17']
Exploring Operation: 24-17=7, Resulting Numbers: [54, 7]
Generated Node #0,2,0: 61:[54, 7] Operation: 24-17=7
Moving to Node #0,2,0
Current State: 61:[54, 7], Operations: ['15+2=17', '24-17=7']
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.939236 | hs_5 | mult_heuristic |
[
53,
50,
81,
40
] | 38 | [
"53-50=3",
"81-40=41",
"41-3=38"
] | Current State: 38:[53, 50, 81, 40], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [81, 40, 3]
Generated Node #2: [81, 40, 3] from Operation: 53-50=3
Current State: 38:[81, 40, 3], Operations: ['53-50=3']
Exploring Operation: 81-40=41, Resulting Numbers: [3, 41]
Generated Node #3: [3, 41] from Operation: 81-40=41
Current State: 38:[3, 41], Operations: ['53-50=3', '81-40=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[53, 50, 81, 40], Operations: []
Exploring Operation: 81-53=28, Resulting Numbers: [50, 40, 28]
Generated Node #0,0: 38:[50, 40, 28] Operation: 81-53=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[50, 40, 28], Operations: ['81-53=28']
Exploring Operation: 50-28=22, Resulting Numbers: [40, 22]
Generated Node #0,0,0: 38:[40, 22] Operation: 50-28=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[40, 22], Operations: ['81-53=28', '50-28=22']
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
6,
9,
18,
52
] | 98 | [
"18/9=2",
"52*2=104",
"104-6=98"
] | Current State: 98:[6, 9, 18, 52], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [6, 52, 2]
Generated Node #2: [6, 52, 2] from Operation: 18/9=2
Current State: 98:[6, 52, 2], Operations: ['18/9=2']
Exploring Operation: 52*2=104, Resulting Numbers: [6, 104]
Generated Node #3: [6, 104] from Operation: 52*2=104
Current State: 98:[6, 104], Operations: ['18/9=2', '52*2=104']
Exploring Operation: 104-6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[6, 9, 18, 52], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [6, 52, 2]
Generated Node #0,0: 98:[6, 52, 2] Operation: 18/9=2
Moving to Node #0,0
Current State: 98:[6, 52, 2], Operations: ['18/9=2']
Exploring Operation: 52-2=50, Resulting Numbers: [6, 50]
Generated Node #0,0,0: 98:[6, 50] Operation: 52-2=50
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[6, 50], Operations: ['18/9=2', '52-2=50']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,98 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 |
[
75,
14,
79,
51
] | 73 | [
"79-51=28",
"28/14=2",
"75-2=73"
] | Current State: 73:[75, 14, 79, 51], Operations: []
Exploring Operation: 79-51=28, Resulting Numbers: [75, 14, 28]
Generated Node #2: [75, 14, 28] from Operation: 79-51=28
Current State: 73:[75, 14, 28], Operations: ['79-51=28']
Exploring Operation: 28/14=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 28/14=2
Current State: 73:[75, 2], Operations: ['79-51=28', '28/14=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[75, 14, 79, 51], Operations: []
Exploring Operation: 79-14=65, Resulting Numbers: [75, 51, 65]
Generated Node #0,0: 73:[75, 51, 65] Operation: 79-14=65
Exploring Operation: 14+51=65, Resulting Numbers: [75, 79, 65]
Generated Node #0,1: 73:[75, 79, 65] Operation: 14+51=65
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[75, 79, 65], Operations: ['14+51=65']
Exploring Operation: 75-65=10, Resulting Numbers: [79, 10]
Generated Node #0,1,0: 73:[79, 10] Operation: 75-65=10
Exploring Operation: 79-65=14, Resulting Numbers: [75, 14]
Generated Node #0,1,1: 73:[75, 14] Operation: 79-65=14
Moving to Node #0,1,1
Current State: 73:[75, 14], Operations: ['14+51=65', '79-65=14']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,73 unequal: No Solution
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[79, 10], Operations: ['14+51=65', '75-65=10']
Exploring Operation: 79-10=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 79+10=89, Resulting Numbers: [89]
89,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[75, 51, 65], Operations: ['79-14=65']
Exploring Operation: 51+65=116, Resulting Numbers: [75, 116]
Generated Node #0,0,0: 73:[75, 116] Operation: 51+65=116
Exploring Operation: 75-51=24, Resulting Numbers: [65, 24]
Generated Node #0,0,1: 73:[65, 24] Operation: 75-51=24
Moving to Node #0,0,0
Current State: 73:[75, 116], Operations: ['79-14=65', '51+65=116']
Exploring Operation: 116-75=41, Resulting Numbers: [41]
41,73 unequal: No Solution
Exploring Operation: 75+116=191, Resulting Numbers: [191]
191,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[65, 24], Operations: ['79-14=65', '75-51=24']
Exploring Operation: 65-24=41, Resulting Numbers: [41]
41,73 unequal: No Solution
Exploring Operation: 65+24=89, Resulting Numbers: [89]
89,73 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 |
[
80,
75,
33,
28
] | 65 | [
"33-28=5",
"75/5=15",
"80-15=65"
] | Current State: 65:[80, 75, 33, 28], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [80, 75, 5]
Generated Node #2: [80, 75, 5] from Operation: 33-28=5
Current State: 65:[80, 75, 5], Operations: ['33-28=5']
Exploring Operation: 75/5=15, Resulting Numbers: [80, 15]
Generated Node #3: [80, 15] from Operation: 75/5=15
Current State: 65:[80, 15], Operations: ['33-28=5', '75/5=15']
Exploring Operation: 80-15=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[80, 75, 33, 28], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [80, 75, 5]
Generated Node #0,0: 65:[80, 75, 5] Operation: 33-28=5
Exploring Operation: 80-75=5, Resulting Numbers: [33, 28, 5]
Generated Node #0,1: 65:[33, 28, 5] Operation: 80-75=5
Exploring Operation: 33+28=61, Resulting Numbers: [80, 75, 61]
Generated Node #0,2: 65:[80, 75, 61] Operation: 33+28=61
Exploring Operation: 80-33=47, Resulting Numbers: [75, 28, 47]
Generated Node #0,3: 65:[75, 28, 47] Operation: 80-33=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[80, 75, 5], Operations: ['33-28=5']
Exploring Operation: 80-75=5, Resulting Numbers: [5, 5]
Generated Node #0,0,0: 65:[5, 5] Operation: 80-75=5
Exploring Operation: 80-5=75, Resulting Numbers: [75, 75]
Generated Node #0,0,1: 65:[75, 75] Operation: 80-5=75
Exploring Operation: 75/5=15, Resulting Numbers: [80, 15]
Generated Node #0,0,2: 65:[80, 15] Operation: 75/5=15
Exploring Operation: 80/5=16, Resulting Numbers: [75, 16]
Generated Node #0,0,3: 65:[75, 16] Operation: 80/5=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[5, 5], Operations: ['33-28=5', '80-75=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,65 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,65 unequal: No Solution
No 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: 65:[75, 16], Operations: ['33-28=5', '80/5=16']
Exploring Operation: 75*16=1200, Resulting Numbers: [1200]
1200,65 unequal: No Solution
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,65 unequal: No Solution
No 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: 65:[80, 15], Operations: ['33-28=5', '75/5=15']
Exploring Operation: 80-15=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[80, 75, 33, 28], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [80, 75, 5]
Generated Node #0,0: 65:[80, 75, 5] Operation: 33-28=5
Moving to Node #0,0
Current State: 65:[80, 75, 5], Operations: ['33-28=5']
Exploring Operation: 75/5=15, Resulting Numbers: [80, 15]
Generated Node #0,0,2: 65:[80, 15] Operation: 75/5=15
Moving to Node #0,0,2
Current State: 65:[80, 15], Operations: ['33-28=5', '75/5=15']
Exploring Operation: 80-15=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
64,
62,
2,
15
] | 18 | [
"64-15=49",
"62/2=31",
"49-31=18"
] | Current State: 18:[64, 62, 2, 15], Operations: []
Exploring Operation: 64-15=49, Resulting Numbers: [62, 2, 49]
Generated Node #2: [62, 2, 49] from Operation: 64-15=49
Current State: 18:[62, 2, 49], Operations: ['64-15=49']
Exploring Operation: 62/2=31, Resulting Numbers: [49, 31]
Generated Node #3: [49, 31] from Operation: 62/2=31
Current State: 18:[49, 31], Operations: ['64-15=49', '62/2=31']
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[64, 62, 2, 15], Operations: []
Exploring Operation: 64/2=32, Resulting Numbers: [62, 15, 32]
Generated Node #0,0: 18:[62, 15, 32] Operation: 64/2=32
Exploring Operation: 62/2=31, Resulting Numbers: [64, 15, 31]
Generated Node #0,1: 18:[64, 15, 31] Operation: 62/2=31
Exploring Operation: 64-62=2, Resulting Numbers: [2, 15, 2]
Generated Node #0,2: 18:[2, 15, 2] Operation: 64-62=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 18:[2, 15, 2], Operations: ['64-62=2']
Exploring Operation: 15+2=17, Resulting Numbers: [2, 17]
Generated Node #0,2,0: 18:[2, 17] Operation: 15+2=17
Exploring Operation: 2+15=17, Resulting Numbers: [2, 17]
Generated Node #0,2,1: 18:[2, 17] Operation: 2+15=17
Exploring Operation: 15-2=13, Resulting Numbers: [2, 13]
Generated Node #0,2,2: 18:[2, 13] Operation: 15-2=13
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 18:[2, 17], Operations: ['64-62=2', '15+2=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,18 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 18:[2, 17], Operations: ['64-62=2', '2+15=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,18 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 18:[2, 13], Operations: ['64-62=2', '15-2=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,18 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,18 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[62, 15, 32], Operations: ['64/2=32']
Exploring Operation: 32-15=17, Resulting Numbers: [62, 17]
Generated Node #0,0,0: 18:[62, 17] Operation: 32-15=17
Exploring Operation: 62-32=30, Resulting Numbers: [15, 30]
Generated Node #0,0,1: 18:[15, 30] Operation: 62-32=30
Exploring Operation: 62-15=47, Resulting Numbers: [32, 47]
Generated Node #0,0,2: 18:[32, 47] Operation: 62-15=47
Moving to Node #0,0,1
Current State: 18:[15, 30], Operations: ['64/2=32', '62-32=30']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,18 unequal: No Solution
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[32, 47], Operations: ['64/2=32', '62-15=47']
Exploring Operation: 32*47=1504, Resulting Numbers: [1504]
1504,18 unequal: No Solution
Exploring Operation: 32+47=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Exploring Operation: 47-32=15, Resulting Numbers: [15]
15,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[62, 17], Operations: ['64/2=32', '32-15=17']
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 62*17=1054, Resulting Numbers: [1054]
1054,18 unequal: No Solution
Exploring Operation: 62+17=79, Resulting Numbers: [79]
79,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[64, 15, 31], Operations: ['62/2=31']
Exploring Operation: 31-15=16, Resulting Numbers: [64, 16]
Generated Node #0,1,0: 18:[64, 16] Operation: 31-15=16
Exploring Operation: 64-15=49, Resulting Numbers: [31, 49]
Generated Node #0,1,1: 18:[31, 49] Operation: 64-15=49
Exploring Operation: 64-31=33, Resulting Numbers: [15, 33]
Generated Node #0,1,2: 18:[15, 33] Operation: 64-31=33
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 18:[15, 33], Operations: ['62/2=31', '64-31=33']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[64, 62, 2, 15], Operations: []
Exploring Operation: 62/2=31, Resulting Numbers: [64, 15, 31]
Generated Node #0,1: 18:[64, 15, 31] Operation: 62/2=31
Moving to Node #0,1
Current State: 18:[64, 15, 31], Operations: ['62/2=31']
Exploring Operation: 64-31=33, Resulting Numbers: [15, 33]
Generated Node #0,1,2: 18:[15, 33] Operation: 64-31=33
Moving to Node #0,1,2
Current State: 18:[15, 33], Operations: ['62/2=31', '64-31=33']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
40,
39,
49,
36
] | 84 | [
"40-39=1",
"49+36=85",
"85-1=84"
] | Current State: 84:[40, 39, 49, 36], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [49, 36, 1]
Generated Node #2: [49, 36, 1] from Operation: 40-39=1
Current State: 84:[49, 36, 1], Operations: ['40-39=1']
Exploring Operation: 49+36=85, Resulting Numbers: [1, 85]
Generated Node #3: [1, 85] from Operation: 49+36=85
Current State: 84:[1, 85], Operations: ['40-39=1', '49+36=85']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[40, 39, 49, 36], Operations: []
Exploring Operation: 49-36=13, Resulting Numbers: [40, 39, 13]
Generated Node #0,0: 84:[40, 39, 13] Operation: 49-36=13
Exploring Operation: 49+36=85, Resulting Numbers: [40, 39, 85]
Generated Node #0,1: 84:[40, 39, 85] Operation: 49+36=85
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[40, 39, 13], Operations: ['49-36=13']
Exploring Operation: 39/13=3, Resulting Numbers: [40, 3]
Generated Node #0,0,0: 84:[40, 3] Operation: 39/13=3
Exploring Operation: 40-39=1, Resulting Numbers: [13, 1]
Generated Node #0,0,1: 84:[13, 1] Operation: 40-39=1
Moving to Node #0,0,0
Current State: 84:[40, 3], Operations: ['49-36=13', '39/13=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[13, 1], Operations: ['49-36=13', '40-39=1']
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,84 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:[40, 39, 85], Operations: ['49+36=85']
Exploring Operation: 40+39=79, Resulting Numbers: [85, 79]
Generated Node #0,1,0: 84:[85, 79] Operation: 40+39=79
Exploring Operation: 40-39=1, Resulting Numbers: [85, 1]
Generated Node #0,1,1: 84:[85, 1] Operation: 40-39=1
Moving to Node #0,1,1
Current State: 84:[85, 1], Operations: ['49+36=85', '40-39=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,84 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[40, 39, 49, 36], Operations: []
Exploring Operation: 49+36=85, Resulting Numbers: [40, 39, 85]
Generated Node #0,1: 84:[40, 39, 85] Operation: 49+36=85
Moving to Node #0,1
Current State: 84:[40, 39, 85], Operations: ['49+36=85']
Exploring Operation: 40-39=1, Resulting Numbers: [85, 1]
Generated Node #0,1,1: 84:[85, 1] Operation: 40-39=1
Moving to Node #0,1,1
Current State: 84:[85, 1], Operations: ['49+36=85', '40-39=1']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
2,
60,
97,
24
] | 11 | [
"2+60=62",
"97-24=73",
"73-62=11"
] | Current State: 11:[2, 60, 97, 24], Operations: []
Exploring Operation: 2+60=62, Resulting Numbers: [97, 24, 62]
Generated Node #2: [97, 24, 62] from Operation: 2+60=62
Current State: 11:[97, 24, 62], Operations: ['2+60=62']
Exploring Operation: 97-24=73, Resulting Numbers: [62, 73]
Generated Node #3: [62, 73] from Operation: 97-24=73
Current State: 11:[62, 73], Operations: ['2+60=62', '97-24=73']
Exploring Operation: 73-62=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[2, 60, 97, 24], Operations: []
Exploring Operation: 97-60=37, Resulting Numbers: [2, 24, 37]
Generated Node #0,0: 11:[2, 24, 37] Operation: 97-60=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[2, 24, 37], Operations: ['97-60=37']
Exploring Operation: 37-24=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 11:[2, 13] Operation: 37-24=13
Moving to Node #0,0,0
Current State: 11:[2, 13], Operations: ['97-60=37', '37-24=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[2, 60, 97, 24], Operations: []
Exploring Operation: 97-60=37, Resulting Numbers: [2, 24, 37]
Generated Node #0,0: 11:[2, 24, 37] Operation: 97-60=37
Moving to Node #0,0
Current State: 11:[2, 24, 37], Operations: ['97-60=37']
Exploring Operation: 37-24=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 11:[2, 13] Operation: 37-24=13
Moving to Node #0,0,0
Current State: 11:[2, 13], Operations: ['97-60=37', '37-24=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
53,
95,
61,
66
] | 37 | [
"95-53=42",
"66-61=5",
"42-5=37"
] | Current State: 37:[53, 95, 61, 66], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [61, 66, 42]
Generated Node #2: [61, 66, 42] from Operation: 95-53=42
Current State: 37:[61, 66, 42], Operations: ['95-53=42']
Exploring Operation: 66-61=5, Resulting Numbers: [42, 5]
Generated Node #3: [42, 5] from Operation: 66-61=5
Current State: 37:[42, 5], Operations: ['95-53=42', '66-61=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[53, 95, 61, 66], Operations: []
Exploring Operation: 95-66=29, Resulting Numbers: [53, 61, 29]
Generated Node #0,0: 37:[53, 61, 29] Operation: 95-66=29
Exploring Operation: 66-53=13, Resulting Numbers: [95, 61, 13]
Generated Node #0,1: 37:[95, 61, 13] Operation: 66-53=13
Exploring Operation: 95-53=42, Resulting Numbers: [61, 66, 42]
Generated Node #0,2: 37:[61, 66, 42] Operation: 95-53=42
Exploring Operation: 66-61=5, Resulting Numbers: [53, 95, 5]
Generated Node #0,3: 37:[53, 95, 5] Operation: 66-61=5
Exploring Operation: 95-61=34, Resulting Numbers: [53, 66, 34]
Generated Node #0,4: 37:[53, 66, 34] Operation: 95-61=34
Moving to Node #0,0
Current State: 37:[53, 61, 29], Operations: ['95-66=29']
Exploring Operation: 61-53=8, Resulting Numbers: [29, 8]
Generated Node #0,0,0: 37:[29, 8] Operation: 61-53=8
Exploring Operation: 53+29=82, Resulting Numbers: [61, 82]
Generated Node #0,0,1: 37:[61, 82] Operation: 53+29=82
Exploring Operation: 61-29=32, Resulting Numbers: [53, 32]
Generated Node #0,0,2: 37:[53, 32] Operation: 61-29=32
Exploring Operation: 61+29=90, Resulting Numbers: [53, 90]
Generated Node #0,0,3: 37:[53, 90] Operation: 61+29=90
Exploring Operation: 53-29=24, Resulting Numbers: [61, 24]
Generated Node #0,0,4: 37:[61, 24] Operation: 53-29=24
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[53, 32], Operations: ['95-66=29', '61-29=32']
Exploring Operation: 53*32=1696, Resulting Numbers: [1696]
1696,37 unequal: No Solution
Exploring Operation: 53+32=85, Resulting Numbers: [85]
85,37 unequal: No Solution
Exploring Operation: 53-32=21, Resulting Numbers: [21]
21,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[29, 8], Operations: ['95-66=29', '61-53=8']
Exploring Operation: 29+8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[53, 95, 61, 66], Operations: []
Exploring Operation: 95-66=29, Resulting Numbers: [53, 61, 29]
Generated Node #0,0: 37:[53, 61, 29] Operation: 95-66=29
Moving to Node #0,0
Current State: 37:[53, 61, 29], Operations: ['95-66=29']
Exploring Operation: 61-53=8, Resulting Numbers: [29, 8]
Generated Node #0,0,0: 37:[29, 8] Operation: 61-53=8
Moving to Node #0,0,0
Current State: 37:[29, 8], Operations: ['95-66=29', '61-53=8']
Exploring Operation: 29+8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
55,
53,
49,
96
] | 31 | [
"53-49=4",
"96/4=24",
"55-24=31"
] | Current State: 31:[55, 53, 49, 96], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [55, 96, 4]
Generated Node #2: [55, 96, 4] from Operation: 53-49=4
Current State: 31:[55, 96, 4], Operations: ['53-49=4']
Exploring Operation: 96/4=24, Resulting Numbers: [55, 24]
Generated Node #3: [55, 24] from Operation: 96/4=24
Current State: 31:[55, 24], Operations: ['53-49=4', '96/4=24']
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[55, 53, 49, 96], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [53, 49, 41]
Generated Node #0,0: 31:[53, 49, 41] Operation: 96-55=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[53, 49, 41], Operations: ['96-55=41']
Exploring Operation: 53-49=4, Resulting Numbers: [41, 4]
Generated Node #0,0,0: 31:[41, 4] Operation: 53-49=4
Moving to Node #0,0,0
Current State: 31:[41, 4], Operations: ['96-55=41', '53-49=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,31 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 |
[
40,
5,
14,
4
] | 34 | [
"40+14=54",
"5*4=20",
"54-20=34"
] | Current State: 34:[40, 5, 14, 4], Operations: []
Exploring Operation: 40+14=54, Resulting Numbers: [5, 4, 54]
Generated Node #2: [5, 4, 54] from Operation: 40+14=54
Current State: 34:[5, 4, 54], Operations: ['40+14=54']
Exploring Operation: 5*4=20, Resulting Numbers: [54, 20]
Generated Node #3: [54, 20] from Operation: 5*4=20
Current State: 34:[54, 20], Operations: ['40+14=54', '5*4=20']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[40, 5, 14, 4], Operations: []
Exploring Operation: 40-5=35, Resulting Numbers: [14, 4, 35]
Generated Node #0,0: 34:[14, 4, 35] Operation: 40-5=35
Moving to Node #0,0
Current State: 34:[14, 4, 35], Operations: ['40-5=35']
Exploring Operation: 14+4=18, Resulting Numbers: [35, 18]
Generated Node #0,0,0: 34:[35, 18] Operation: 14+4=18
Moving to Node #0,0,0
Current State: 34:[35, 18], Operations: ['40-5=35', '14+4=18']
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,34 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
76,
18,
11,
62
] | 54 | [
"76-11=65",
"65-62=3",
"18*3=54"
] | Current State: 54:[76, 18, 11, 62], Operations: []
Exploring Operation: 76-11=65, Resulting Numbers: [18, 62, 65]
Generated Node #2: [18, 62, 65] from Operation: 76-11=65
Current State: 54:[18, 62, 65], Operations: ['76-11=65']
Exploring Operation: 65-62=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 65-62=3
Current State: 54:[18, 3], Operations: ['76-11=65', '65-62=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[76, 18, 11, 62], Operations: []
Exploring Operation: 76-62=14, Resulting Numbers: [18, 11, 14]
Generated Node #0,0: 54:[18, 11, 14] Operation: 76-62=14
Moving to Node #0,0
Current State: 54:[18, 11, 14], Operations: ['76-62=14']
Exploring Operation: 14-11=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 54:[18, 3] Operation: 14-11=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[18, 3], Operations: ['76-62=14', '14-11=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[76, 18, 11, 62], Operations: []
Exploring Operation: 76-62=14, Resulting Numbers: [18, 11, 14]
Generated Node #0,0: 54:[18, 11, 14] Operation: 76-62=14
Moving to Node #0,0
Current State: 54:[18, 11, 14], Operations: ['76-62=14']
Exploring Operation: 14-11=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 54:[18, 3] Operation: 14-11=3
Moving to Node #0,0,0
Current State: 54:[18, 3], Operations: ['76-62=14', '14-11=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
41,
60,
41,
94
] | 35 | [
"41/41=1",
"94-60=34",
"1+34=35"
] | Current State: 35:[41, 60, 41, 94], Operations: []
Exploring Operation: 41/41=1, Resulting Numbers: [60, 94, 1]
Generated Node #2: [60, 94, 1] from Operation: 41/41=1
Current State: 35:[60, 94, 1], Operations: ['41/41=1']
Exploring Operation: 94-60=34, Resulting Numbers: [1, 34]
Generated Node #3: [1, 34] from Operation: 94-60=34
Current State: 35:[1, 34], Operations: ['41/41=1', '94-60=34']
Exploring Operation: 1+34=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[41, 60, 41, 94], Operations: []
Exploring Operation: 94-41=53, Resulting Numbers: [60, 41, 53]
Generated Node #0,0: 35:[60, 41, 53] Operation: 94-41=53
Exploring Operation: 94-60=34, Resulting Numbers: [41, 41, 34]
Generated Node #0,1: 35:[41, 41, 34] Operation: 94-60=34
Exploring Operation: 94-41=53, Resulting Numbers: [41, 60, 53]
Generated Node #0,2: 35:[41, 60, 53] Operation: 94-41=53
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[41, 41, 34], Operations: ['94-60=34']
Exploring Operation: 41-34=7, Resulting Numbers: [41, 7]
Generated Node #0,1,0: 35:[41, 7] Operation: 41-34=7
Exploring Operation: 41/41=1, Resulting Numbers: [34, 1]
Generated Node #0,1,1: 35:[34, 1] Operation: 41/41=1
Exploring Operation: 41-41=0, Resulting Numbers: [34, 0]
Generated Node #0,1,2: 35:[34, 0] Operation: 41-41=0
Moving to Node #0,1,1
Current State: 35:[34, 1], Operations: ['94-60=34', '41/41=1']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[41, 60, 41, 94], Operations: []
Exploring Operation: 94-60=34, Resulting Numbers: [41, 41, 34]
Generated Node #0,1: 35:[41, 41, 34] Operation: 94-60=34
Moving to Node #0,1
Current State: 35:[41, 41, 34], Operations: ['94-60=34']
Exploring Operation: 41/41=1, Resulting Numbers: [34, 1]
Generated Node #0,1,1: 35:[34, 1] Operation: 41/41=1
Moving to Node #0,1,1
Current State: 35:[34, 1], Operations: ['94-60=34', '41/41=1']
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
56,
91,
15,
30
] | 75 | [
"91-56=35",
"35-30=5",
"15*5=75"
] | Current State: 75:[56, 91, 15, 30], Operations: []
Exploring Operation: 91-56=35, Resulting Numbers: [15, 30, 35]
Generated Node #2: [15, 30, 35] from Operation: 91-56=35
Current State: 75:[15, 30, 35], Operations: ['91-56=35']
Exploring Operation: 35-30=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 35-30=5
Current State: 75:[15, 5], Operations: ['91-56=35', '35-30=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[56, 91, 15, 30], Operations: []
Exploring Operation: 91-56=35, Resulting Numbers: [15, 30, 35]
Generated Node #0,0: 75:[15, 30, 35] Operation: 91-56=35
Exploring Operation: 56-30=26, Resulting Numbers: [91, 15, 26]
Generated Node #0,1: 75:[91, 15, 26] Operation: 56-30=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[15, 30, 35], Operations: ['91-56=35']
Exploring Operation: 35-30=5, Resulting Numbers: [15, 5]
Generated Node #0,0,0: 75:[15, 5] Operation: 35-30=5
Exploring Operation: 30-15=15, Resulting Numbers: [35, 15]
Generated Node #0,0,1: 75:[35, 15] Operation: 30-15=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[15, 5], Operations: ['91-56=35', '35-30=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[56, 91, 15, 30], Operations: []
Exploring Operation: 91-56=35, Resulting Numbers: [15, 30, 35]
Generated Node #0,0: 75:[15, 30, 35] Operation: 91-56=35
Moving to Node #0,0
Current State: 75:[15, 30, 35], Operations: ['91-56=35']
Exploring Operation: 35-30=5, Resulting Numbers: [15, 5]
Generated Node #0,0,0: 75:[15, 5] Operation: 35-30=5
Moving to Node #0,0,0
Current State: 75:[15, 5], Operations: ['91-56=35', '35-30=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
66,
75,
75,
4
] | 61 | [
"66-4=62",
"75/75=1",
"62-1=61"
] | Current State: 61:[66, 75, 75, 4], Operations: []
Exploring Operation: 66-4=62, Resulting Numbers: [75, 75, 62]
Generated Node #2: [75, 75, 62] from Operation: 66-4=62
Current State: 61:[75, 75, 62], Operations: ['66-4=62']
Exploring Operation: 75/75=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 75/75=1
Current State: 61:[62, 1], Operations: ['66-4=62', '75/75=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[66, 75, 75, 4], Operations: []
Exploring Operation: 75-4=71, Resulting Numbers: [66, 75, 71]
Generated Node #0,0: 61:[66, 75, 71] Operation: 75-4=71
Exploring Operation: 66-4=62, Resulting Numbers: [75, 75, 62]
Generated Node #0,1: 61:[75, 75, 62] Operation: 66-4=62
Moving to Node #0,0
Current State: 61:[66, 75, 71], Operations: ['75-4=71']
Exploring Operation: 75-66=9, Resulting Numbers: [71, 9]
Generated Node #0,0,0: 61:[71, 9] Operation: 75-66=9
Exploring Operation: 75-71=4, Resulting Numbers: [66, 4]
Generated Node #0,0,1: 61:[66, 4] Operation: 75-71=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[71, 9], Operations: ['75-4=71', '75-66=9']
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,61 unequal: No Solution
Exploring Operation: 71+9=80, Resulting Numbers: [80]
80,61 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 #0,0,1
Current State: 61:[66, 4], Operations: ['75-4=71', '75-71=4']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,61 unequal: No Solution
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 61:[75, 75, 62], Operations: ['66-4=62']
Exploring Operation: 75-75=0, Resulting Numbers: [62, 0]
Generated Node #0,1,0: 61:[62, 0] Operation: 75-75=0
Exploring Operation: 75/75=1, Resulting Numbers: [62, 1]
Generated Node #0,1,1: 61:[62, 1] Operation: 75/75=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[62, 1], Operations: ['66-4=62', '75/75=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[66, 75, 75, 4], Operations: []
Exploring Operation: 66-4=62, Resulting Numbers: [75, 75, 62]
Generated Node #0,1: 61:[75, 75, 62] Operation: 66-4=62
Moving to Node #0,1
Current State: 61:[75, 75, 62], Operations: ['66-4=62']
Exploring Operation: 75/75=1, Resulting Numbers: [62, 1]
Generated Node #0,1,1: 61:[62, 1] Operation: 75/75=1
Moving to Node #0,1,1
Current State: 61:[62, 1], Operations: ['66-4=62', '75/75=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
34,
40,
78,
85
] | 72 | [
"40-34=6",
"78/6=13",
"85-13=72"
] | Current State: 72:[34, 40, 78, 85], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [78, 85, 6]
Generated Node #2: [78, 85, 6] from Operation: 40-34=6
Current State: 72:[78, 85, 6], Operations: ['40-34=6']
Exploring Operation: 78/6=13, Resulting Numbers: [85, 13]
Generated Node #3: [85, 13] from Operation: 78/6=13
Current State: 72:[85, 13], Operations: ['40-34=6', '78/6=13']
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[34, 40, 78, 85], Operations: []
Exploring Operation: 78-40=38, Resulting Numbers: [34, 85, 38]
Generated Node #0,0: 72:[34, 85, 38] Operation: 78-40=38
Exploring Operation: 85-78=7, Resulting Numbers: [34, 40, 7]
Generated Node #0,1: 72:[34, 40, 7] Operation: 85-78=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[34, 40, 7], Operations: ['85-78=7']
Exploring Operation: 40-34=6, Resulting Numbers: [7, 6]
Generated Node #0,1,0: 72:[7, 6] Operation: 40-34=6
Exploring Operation: 34+40=74, Resulting Numbers: [7, 74]
Generated Node #0,1,1: 72:[7, 74] Operation: 34+40=74
Moving to Node #0,1,0
Current State: 72:[7, 6], Operations: ['85-78=7', '40-34=6']
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[7, 74], Operations: ['85-78=7', '34+40=74']
Exploring Operation: 7+74=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[34, 85, 38], Operations: ['78-40=38']
Exploring Operation: 34+38=72, Resulting Numbers: [85, 72]
Generated Node #0,0,0: 72:[85, 72] Operation: 34+38=72
Exploring Operation: 38-34=4, Resulting Numbers: [85, 4]
Generated Node #0,0,1: 72:[85, 4] Operation: 38-34=4
Moving to Node #0,0,0
Current State: 72:[85, 72], Operations: ['78-40=38', '34+38=72']
Exploring Operation: 85-72=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 85+72=157, Resulting Numbers: [157]
157,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[85, 4], Operations: ['78-40=38', '38-34=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,72 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 |
[
71,
1,
25,
1
] | 94 | [
"71-1=70",
"25-1=24",
"70+24=94"
] | Current State: 94:[71, 1, 25, 1], Operations: []
Exploring Operation: 71-1=70, Resulting Numbers: [25, 70]
Generated Node #2: [25, 70] from Operation: 71-1=70
Current State: 94:[25, 70], Operations: ['71-1=70']
Exploring Operation: 25-1=24, Resulting Numbers: [70, 24]
Generated Node #3: [70, 24] from Operation: 25-1=24
Current State: 94:[70, 24], Operations: ['71-1=70', '25-1=24']
Exploring Operation: 70+24=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[71, 1, 25, 1], Operations: []
Exploring Operation: 71-25=46, Resulting Numbers: [1, 1, 46]
Generated Node #0,0: 94:[1, 1, 46] Operation: 71-25=46
Exploring Operation: 71+1=72, Resulting Numbers: [1, 25, 72]
Generated Node #0,1: 94:[1, 25, 72] Operation: 71+1=72
Exploring Operation: 71+1=72, Resulting Numbers: [25, 1, 72]
Generated Node #0,2: 94:[25, 1, 72] Operation: 71+1=72
Exploring Operation: 71+25=96, Resulting Numbers: [1, 1, 96]
Generated Node #0,3: 94:[1, 1, 96] Operation: 71+25=96
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[1, 1, 46], Operations: ['71-25=46']
Exploring Operation: 1+46=47, Resulting Numbers: [1, 47]
Generated Node #0,0,0: 94:[1, 47] Operation: 1+46=47
Exploring Operation: 1+46=47, Resulting Numbers: [1, 47]
Generated Node #0,0,1: 94:[1, 47] Operation: 1+46=47
Exploring Operation: 1*1=1, Resulting Numbers: [46, 1]
Generated Node #0,0,2: 94:[46, 1] Operation: 1*1=1
Exploring Operation: 1+1=2, Resulting Numbers: [46, 2]
Generated Node #0,0,3: 94:[46, 2] Operation: 1+1=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[1, 47], Operations: ['71-25=46', '1+46=47']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,94 unequal: No Solution
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,94 unequal: No Solution
Exploring Operation: 1+47=48, Resulting Numbers: [48]
48,94 unequal: No Solution
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 94:[1, 47], Operations: ['71-25=46', '1+46=47']
Exploring Operation: 1+47=48, Resulting Numbers: [48]
48,94 unequal: No Solution
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,94 unequal: No Solution
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,94 unequal: No Solution
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 94:[46, 2], Operations: ['71-25=46', '1+1=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,94 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,94 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,94 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 94:[46, 1], Operations: ['71-25=46', '1*1=1']
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,94 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,94 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 94:[1, 1, 96], Operations: ['71+25=96']
Exploring Operation: 96-1=95, Resulting Numbers: [1, 95]
Generated Node #0,3,0: 94:[1, 95] Operation: 96-1=95
Exploring Operation: 1+1=2, Resulting Numbers: [96, 2]
Generated Node #0,3,1: 94:[96, 2] Operation: 1+1=2
Exploring Operation: 96-1=95, Resulting Numbers: [1, 95]
Generated Node #0,3,2: 94:[1, 95] Operation: 96-1=95
Exploring Operation: 1*1=1, Resulting Numbers: [96, 1]
Generated Node #0,3,3: 94:[96, 1] Operation: 1*1=1
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 94:[1, 95], Operations: ['71+25=96', '96-1=95']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[71, 1, 25, 1], Operations: []
Exploring Operation: 71+25=96, Resulting Numbers: [1, 1, 96]
Generated Node #0,3: 94:[1, 1, 96] Operation: 71+25=96
Moving to Node #0,3
Current State: 94:[1, 1, 96], Operations: ['71+25=96']
Exploring Operation: 96-1=95, Resulting Numbers: [1, 95]
Generated Node #0,3,0: 94:[1, 95] Operation: 96-1=95
Moving to Node #0,3,0
Current State: 94:[1, 95], Operations: ['71+25=96', '96-1=95']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.971354 | hs_4 | sum_heuristic |
[
32,
22,
36,
5
] | 86 | [
"32-22=10",
"5*10=50",
"36+50=86"
] | Current State: 86:[32, 22, 36, 5], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [36, 5, 10]
Generated Node #2: [36, 5, 10] from Operation: 32-22=10
Current State: 86:[36, 5, 10], Operations: ['32-22=10']
Exploring Operation: 5*10=50, Resulting Numbers: [36, 50]
Generated Node #3: [36, 50] from Operation: 5*10=50
Current State: 86:[36, 50], Operations: ['32-22=10', '5*10=50']
Exploring Operation: 36+50=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[32, 22, 36, 5], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [22, 5, 4]
Generated Node #0,0: 86:[22, 5, 4] Operation: 36-32=4
Exploring Operation: 32-22=10, Resulting Numbers: [36, 5, 10]
Generated Node #0,1: 86:[36, 5, 10] Operation: 32-22=10
Exploring Operation: 32+22=54, Resulting Numbers: [36, 5, 54]
Generated Node #0,2: 86:[36, 5, 54] Operation: 32+22=54
Exploring Operation: 36-22=14, Resulting Numbers: [32, 5, 14]
Generated Node #0,3: 86:[32, 5, 14] Operation: 36-22=14
Moving to Node #0,1
Current State: 86:[36, 5, 10], Operations: ['32-22=10']
Exploring Operation: 10-5=5, Resulting Numbers: [36, 5]
Generated Node #0,1,0: 86:[36, 5] Operation: 10-5=5
Exploring Operation: 36+10=46, Resulting Numbers: [5, 46]
Generated Node #0,1,1: 86:[5, 46] Operation: 36+10=46
Exploring Operation: 36+5=41, Resulting Numbers: [10, 41]
Generated Node #0,1,2: 86:[10, 41] Operation: 36+5=41
Exploring Operation: 10/5=2, Resulting Numbers: [36, 2]
Generated Node #0,1,3: 86:[36, 2] Operation: 10/5=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[5, 46], Operations: ['32-22=10', '36+10=46']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,86 unequal: No Solution
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,86 unequal: No Solution
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 86:[36, 2], Operations: ['32-22=10', '10/5=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,86 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,86 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,86 unequal: No Solution
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[36, 5], Operations: ['32-22=10', '10-5=5']
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,86 unequal: No Solution
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,86 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[10, 41], Operations: ['32-22=10', '36+5=41']
Exploring Operation: 10+41=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,86 unequal: No Solution
Exploring Operation: 10*41=410, Resulting Numbers: [410]
410,86 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:[36, 5, 54], Operations: ['32+22=54']
Exploring Operation: 54-5=49, Resulting Numbers: [36, 49]
Generated Node #0,2,0: 86:[36, 49] Operation: 54-5=49
Exploring Operation: 36+54=90, Resulting Numbers: [5, 90]
Generated Node #0,2,1: 86:[5, 90] Operation: 36+54=90
Exploring Operation: 36+5=41, Resulting Numbers: [54, 41]
Generated Node #0,2,2: 86:[54, 41] Operation: 36+5=41
Exploring Operation: 54-36=18, Resulting Numbers: [5, 18]
Generated Node #0,2,3: 86:[5, 18] Operation: 54-36=18
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 86:[5, 90], Operations: ['32+22=54', '36+54=90']
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,86 unequal: No Solution
Exploring Operation: 5+90=95, Resulting Numbers: [95]
95,86 unequal: No Solution
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,86 unequal: No Solution
Exploring Operation: 5*90=450, Resulting Numbers: [450]
450,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 86:[36, 49], Operations: ['32+22=54', '54-5=49']
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Exploring Operation: 36+49=85, Resulting Numbers: [85]
85,86 unequal: No Solution
Exploring Operation: 36*49=1764, Resulting Numbers: [1764]
1764,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 86:[54, 41], Operations: ['32+22=54', '36+5=41']
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Exploring Operation: 54*41=2214, Resulting Numbers: [2214]
2214,86 unequal: No Solution
Exploring Operation: 54+41=95, Resulting Numbers: [95]
95,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 86:[5, 18], Operations: ['32+22=54', '54-36=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 86:[22, 5, 4], Operations: ['36-32=4']
Exploring Operation: 22-5=17, Resulting Numbers: [4, 17]
Generated Node #0,0,0: 86:[4, 17] Operation: 22-5=17
Exploring Operation: 22*4=88, Resulting Numbers: [5, 88]
Generated Node #0,0,1: 86:[5, 88] Operation: 22*4=88
Exploring Operation: 22+5=27, Resulting Numbers: [4, 27]
Generated Node #0,0,2: 86:[4, 27] Operation: 22+5=27
Exploring Operation: 22-4=18, Resulting Numbers: [5, 18]
Generated Node #0,0,3: 86:[5, 18] Operation: 22-4=18
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[5, 88], Operations: ['36-32=4', '22*4=88']
Exploring Operation: 5+88=93, Resulting Numbers: [93]
93,86 unequal: No Solution
Exploring Operation: 5*88=440, Resulting Numbers: [440]
440,86 unequal: No Solution
Exploring Operation: 88-5=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 #0,0,0
Current State: 86:[4, 17], Operations: ['36-32=4', '22-5=17']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[4, 27], Operations: ['36-32=4', '22+5=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,86 unequal: No Solution
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 86:[5, 18], Operations: ['36-32=4', '22-4=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,86 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 86:[32, 5, 14], Operations: ['36-22=14']
Exploring Operation: 32+14=46, Resulting Numbers: [5, 46]
Generated Node #0,3,0: 86:[5, 46] Operation: 32+14=46
Exploring Operation: 14-5=9, Resulting Numbers: [32, 9]
Generated Node #0,3,1: 86:[32, 9] Operation: 14-5=9
Exploring Operation: 32-14=18, Resulting Numbers: [5, 18]
Generated Node #0,3,2: 86:[5, 18] Operation: 32-14=18
Exploring Operation: 32+5=37, Resulting Numbers: [14, 37]
Generated Node #0,3,3: 86:[14, 37] Operation: 32+5=37
Moving to Node #0,3,0
Current State: 86:[5, 46], Operations: ['36-22=14', '32+14=46']
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,86 unequal: No Solution
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,86 unequal: No Solution
Moving to Node #0,3,3
Current State: 86:[14, 37], Operations: ['36-22=14', '32+5=37']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,86 unequal: No Solution
Moving to Node #0,3,1
Current State: 86:[32, 9], Operations: ['36-22=14', '14-5=9']
Exploring Operation: 32*9=288, Resulting Numbers: [288]
288,86 unequal: No Solution
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,86 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Moving to Node #0,3,2
Current State: 86:[5, 18], Operations: ['36-22=14', '32-14=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,86 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
80,
76,
87,
9
] | 78 | [
"80+76=156",
"87-9=78",
"156-78=78"
] | Current State: 78:[80, 76, 87, 9], Operations: []
Exploring Operation: 80+76=156, Resulting Numbers: [87, 9, 156]
Generated Node #2: [87, 9, 156] from Operation: 80+76=156
Current State: 78:[87, 9, 156], Operations: ['80+76=156']
Exploring Operation: 87-9=78, Resulting Numbers: [156, 78]
Generated Node #3: [156, 78] from Operation: 87-9=78
Current State: 78:[156, 78], Operations: ['80+76=156', '87-9=78']
Exploring Operation: 156-78=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[80, 76, 87, 9], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [87, 9, 4]
Generated Node #0,0: 78:[87, 9, 4] Operation: 80-76=4
Exploring Operation: 87-80=7, Resulting Numbers: [76, 9, 7]
Generated Node #0,1: 78:[76, 9, 7] Operation: 87-80=7
Exploring Operation: 87-9=78, Resulting Numbers: [80, 76, 78]
Generated Node #0,2: 78:[80, 76, 78] Operation: 87-9=78
Exploring Operation: 87-76=11, Resulting Numbers: [80, 9, 11]
Generated Node #0,3: 78:[80, 9, 11] Operation: 87-76=11
Moving to Node #0,2
Current State: 78:[80, 76, 78], Operations: ['87-9=78']
Exploring Operation: 80-76=4, Resulting Numbers: [78, 4]
Generated Node #0,2,0: 78:[78, 4] Operation: 80-76=4
Exploring Operation: 80-78=2, Resulting Numbers: [76, 2]
Generated Node #0,2,1: 78:[76, 2] Operation: 80-78=2
Exploring Operation: 80+76=156, Resulting Numbers: [78, 156]
Generated Node #0,2,2: 78:[78, 156] Operation: 80+76=156
Exploring Operation: 78-76=2, Resulting Numbers: [80, 2]
Generated Node #0,2,3: 78:[80, 2] Operation: 78-76=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 78:[78, 4], Operations: ['87-9=78', '80-76=4']
Exploring Operation: 78*4=312, Resulting Numbers: [312]
312,78 unequal: No Solution
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,78 unequal: No Solution
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 78:[76, 2], Operations: ['87-9=78', '80-78=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,78 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[80, 76, 87, 9], Operations: []
Exploring Operation: 87-9=78, Resulting Numbers: [80, 76, 78]
Generated Node #0,2: 78:[80, 76, 78] Operation: 87-9=78
Moving to Node #0,2
Current State: 78:[80, 76, 78], Operations: ['87-9=78']
Exploring Operation: 80-78=2, Resulting Numbers: [76, 2]
Generated Node #0,2,1: 78:[76, 2] Operation: 80-78=2
Moving to Node #0,2,1
Current State: 78:[76, 2], Operations: ['87-9=78', '80-78=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
19,
74,
50,
86
] | 81 | [
"74-19=55",
"50+86=136",
"136-55=81"
] | Current State: 81:[19, 74, 50, 86], Operations: []
Exploring Operation: 74-19=55, Resulting Numbers: [50, 86, 55]
Generated Node #2: [50, 86, 55] from Operation: 74-19=55
Current State: 81:[50, 86, 55], Operations: ['74-19=55']
Exploring Operation: 50+86=136, Resulting Numbers: [55, 136]
Generated Node #3: [55, 136] from Operation: 50+86=136
Current State: 81:[55, 136], Operations: ['74-19=55', '50+86=136']
Exploring Operation: 136-55=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[19, 74, 50, 86], Operations: []
Exploring Operation: 19+50=69, Resulting Numbers: [74, 86, 69]
Generated Node #0,0: 81:[74, 86, 69] Operation: 19+50=69
Exploring Operation: 74-50=24, Resulting Numbers: [19, 86, 24]
Generated Node #0,1: 81:[19, 86, 24] Operation: 74-50=24
Exploring Operation: 50-19=31, Resulting Numbers: [74, 86, 31]
Generated Node #0,2: 81:[74, 86, 31] Operation: 50-19=31
Exploring Operation: 86-50=36, Resulting Numbers: [19, 74, 36]
Generated Node #0,3: 81:[19, 74, 36] Operation: 86-50=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[19, 86, 24], Operations: ['74-50=24']
Exploring Operation: 86-19=67, Resulting Numbers: [24, 67]
Generated Node #0,1,0: 81:[24, 67] Operation: 86-19=67
Exploring Operation: 24-19=5, Resulting Numbers: [86, 5]
Generated Node #0,1,1: 81:[86, 5] Operation: 24-19=5
Exploring Operation: 19+24=43, Resulting Numbers: [86, 43]
Generated Node #0,1,2: 81:[86, 43] Operation: 19+24=43
Exploring Operation: 19+86=105, Resulting Numbers: [24, 105]
Generated Node #0,1,3: 81:[24, 105] Operation: 19+86=105
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 81:[86, 5], Operations: ['74-50=24', '24-19=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[19, 74, 50, 86], Operations: []
Exploring Operation: 74-50=24, Resulting Numbers: [19, 86, 24]
Generated Node #0,1: 81:[19, 86, 24] Operation: 74-50=24
Moving to Node #0,1
Current State: 81:[19, 86, 24], Operations: ['74-50=24']
Exploring Operation: 24-19=5, Resulting Numbers: [86, 5]
Generated Node #0,1,1: 81:[86, 5] Operation: 24-19=5
Moving to Node #0,1,1
Current State: 81:[86, 5], Operations: ['74-50=24', '24-19=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
73,
29,
56,
1
] | 100 | [
"73-29=44",
"56*1=56",
"44+56=100"
] | Current State: 100:[73, 29, 56, 1], Operations: []
Exploring Operation: 73-29=44, Resulting Numbers: [56, 1, 44]
Generated Node #2: [56, 1, 44] from Operation: 73-29=44
Current State: 100:[56, 1, 44], Operations: ['73-29=44']
Exploring Operation: 56*1=56, Resulting Numbers: [44, 56]
Generated Node #3: [44, 56] from Operation: 56*1=56
Current State: 100:[44, 56], Operations: ['73-29=44', '56*1=56']
Exploring Operation: 44+56=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[73, 29, 56, 1], Operations: []
Exploring Operation: 73-56=17, Resulting Numbers: [29, 1, 17]
Generated Node #0,0: 100:[29, 1, 17] Operation: 73-56=17
Exploring Operation: 73+29=102, Resulting Numbers: [56, 1, 102]
Generated Node #0,1: 100:[56, 1, 102] Operation: 73+29=102
Exploring Operation: 73-29=44, Resulting Numbers: [56, 1, 44]
Generated Node #0,2: 100:[56, 1, 44] Operation: 73-29=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[29, 1, 17], Operations: ['73-56=17']
Exploring Operation: 29-17=12, Resulting Numbers: [1, 12]
Generated Node #0,0,0: 100:[1, 12] Operation: 29-17=12
Exploring Operation: 29-1=28, Resulting Numbers: [17, 28]
Generated Node #0,0,1: 100:[17, 28] Operation: 29-1=28
Exploring Operation: 29+17=46, Resulting Numbers: [1, 46]
Generated Node #0,0,2: 100:[1, 46] Operation: 29+17=46
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[1, 12], Operations: ['73-56=17', '29-17=12']
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,100 unequal: No Solution
No 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: 100:[1, 46], Operations: ['73-56=17', '29+17=46']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,100 unequal: No Solution
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,100 unequal: No Solution
Exploring Operation: 1+46=47, Resulting Numbers: [47]
47,100 unequal: No Solution
No 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: 100:[17, 28], Operations: ['73-56=17', '29-1=28']
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,100 unequal: No Solution
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,100 unequal: No Solution
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,100 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: 100:[56, 1, 102], Operations: ['73+29=102']
Exploring Operation: 56-1=55, Resulting Numbers: [102, 55]
Generated Node #0,1,0: 100:[102, 55] Operation: 56-1=55
Exploring Operation: 102-1=101, Resulting Numbers: [56, 101]
Generated Node #0,1,1: 100:[56, 101] Operation: 102-1=101
Exploring Operation: 102-56=46, Resulting Numbers: [1, 46]
Generated Node #0,1,2: 100:[1, 46] Operation: 102-56=46
Moving to Node #0,1,2
Current State: 100:[1, 46], Operations: ['73+29=102', '102-56=46']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,100 unequal: No Solution
Exploring Operation: 1+46=47, Resulting Numbers: [47]
47,100 unequal: No Solution
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[102, 55], Operations: ['73+29=102', '56-1=55']
Exploring Operation: 102*55=5610, Resulting Numbers: [5610]
5610,100 unequal: No Solution
Exploring Operation: 102+55=157, Resulting Numbers: [157]
157,100 unequal: No Solution
Exploring Operation: 102-55=47, Resulting Numbers: [47]
47,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[56, 101], Operations: ['73+29=102', '102-1=101']
Exploring Operation: 101-56=45, Resulting Numbers: [45]
45,100 unequal: No Solution
Exploring Operation: 56*101=5656, Resulting Numbers: [5656]
5656,100 unequal: No Solution
Exploring Operation: 56+101=157, Resulting Numbers: [157]
157,100 unequal: No Solution
No 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: 100:[56, 1, 44], Operations: ['73-29=44']
Exploring Operation: 56-1=55, Resulting Numbers: [44, 55]
Generated Node #0,2,0: 100:[44, 55] Operation: 56-1=55
Exploring Operation: 56+44=100, Resulting Numbers: [1, 100]
Generated Node #0,2,1: 100:[1, 100] Operation: 56+44=100
Exploring Operation: 56-44=12, Resulting Numbers: [1, 12]
Generated Node #0,2,2: 100:[1, 12] Operation: 56-44=12
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 100:[1, 100], Operations: ['73-29=44', '56+44=100']
Exploring Operation: 1*100=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[73, 29, 56, 1], Operations: []
Exploring Operation: 73-29=44, Resulting Numbers: [56, 1, 44]
Generated Node #0,2: 100:[56, 1, 44] Operation: 73-29=44
Moving to Node #0,2
Current State: 100:[56, 1, 44], Operations: ['73-29=44']
Exploring Operation: 56+44=100, Resulting Numbers: [1, 100]
Generated Node #0,2,1: 100:[1, 100] Operation: 56+44=100
Moving to Node #0,2,1
Current State: 100:[1, 100], Operations: ['73-29=44', '56+44=100']
Exploring Operation: 1*100=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_3 | mult_heuristic |
[
75,
85,
27,
75
] | 38 | [
"85-75=10",
"75-27=48",
"48-10=38"
] | Current State: 38:[75, 85, 27, 75], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [27, 10]
Generated Node #2: [27, 10] from Operation: 85-75=10
Current State: 38:[27, 10], Operations: ['85-75=10']
Exploring Operation: 75-27=48, Resulting Numbers: [10, 48]
Generated Node #3: [10, 48] from Operation: 75-27=48
Current State: 38:[10, 48], Operations: ['85-75=10', '75-27=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[75, 85, 27, 75], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [75, 27, 10]
Generated Node #0,0: 38:[75, 27, 10] Operation: 85-75=10
Exploring Operation: 85-75=10, Resulting Numbers: [27, 75, 10]
Generated Node #0,1: 38:[27, 75, 10] Operation: 85-75=10
Moving to Node #0,0
Current State: 38:[75, 27, 10], Operations: ['85-75=10']
Exploring Operation: 75-27=48, Resulting Numbers: [10, 48]
Generated Node #0,0,0: 38:[10, 48] Operation: 75-27=48
Exploring Operation: 75-10=65, Resulting Numbers: [27, 65]
Generated Node #0,0,1: 38:[27, 65] Operation: 75-10=65
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[10, 48], Operations: ['85-75=10', '75-27=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[75, 85, 27, 75], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [75, 27, 10]
Generated Node #0,0: 38:[75, 27, 10] Operation: 85-75=10
Moving to Node #0,0
Current State: 38:[75, 27, 10], Operations: ['85-75=10']
Exploring Operation: 75-27=48, Resulting Numbers: [10, 48]
Generated Node #0,0,0: 38:[10, 48] Operation: 75-27=48
Moving to Node #0,0,0
Current State: 38:[10, 48], Operations: ['85-75=10', '75-27=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
96,
8,
15,
34
] | 39 | [
"96-8=88",
"15+34=49",
"88-49=39"
] | Current State: 39:[96, 8, 15, 34], Operations: []
Exploring Operation: 96-8=88, Resulting Numbers: [15, 34, 88]
Generated Node #2: [15, 34, 88] from Operation: 96-8=88
Current State: 39:[15, 34, 88], Operations: ['96-8=88']
Exploring Operation: 15+34=49, Resulting Numbers: [88, 49]
Generated Node #3: [88, 49] from Operation: 15+34=49
Current State: 39:[88, 49], Operations: ['96-8=88', '15+34=49']
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[96, 8, 15, 34], Operations: []
Exploring Operation: 96-15=81, Resulting Numbers: [8, 34, 81]
Generated Node #0,0: 39:[8, 34, 81] Operation: 96-15=81
Exploring Operation: 96/8=12, Resulting Numbers: [15, 34, 12]
Generated Node #0,1: 39:[15, 34, 12] Operation: 96/8=12
Exploring Operation: 96-34=62, Resulting Numbers: [8, 15, 62]
Generated Node #0,2: 39:[8, 15, 62] Operation: 96-34=62
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[15, 34, 12], Operations: ['96/8=12']
Exploring Operation: 34+12=46, Resulting Numbers: [15, 46]
Generated Node #0,1,0: 39:[15, 46] Operation: 34+12=46
Exploring Operation: 34-15=19, Resulting Numbers: [12, 19]
Generated Node #0,1,1: 39:[12, 19] Operation: 34-15=19
Exploring Operation: 15-12=3, Resulting Numbers: [34, 3]
Generated Node #0,1,2: 39:[34, 3] Operation: 15-12=3
Moving to Node #0,1,2
Current State: 39:[34, 3], Operations: ['96/8=12', '15-12=3']
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[12, 19], Operations: ['96/8=12', '34-15=19']
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,39 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[15, 46], Operations: ['96/8=12', '34+12=46']
Exploring Operation: 15*46=690, Resulting Numbers: [690]
690,39 unequal: No Solution
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 15+46=61, Resulting Numbers: [61]
61,39 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 #0,2
Current State: 39:[8, 15, 62], Operations: ['96-34=62']
Exploring Operation: 62-8=54, Resulting Numbers: [15, 54]
Generated Node #0,2,0: 39:[15, 54] Operation: 62-8=54
Exploring Operation: 15-8=7, Resulting Numbers: [62, 7]
Generated Node #0,2,1: 39:[62, 7] Operation: 15-8=7
Exploring Operation: 62-15=47, Resulting Numbers: [8, 47]
Generated Node #0,2,2: 39:[8, 47] Operation: 62-15=47
Moving to Node #0,2,2
Current State: 39:[8, 47], Operations: ['96-34=62', '62-15=47']
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[96, 8, 15, 34], Operations: []
Exploring Operation: 96-34=62, Resulting Numbers: [8, 15, 62]
Generated Node #0,2: 39:[8, 15, 62] Operation: 96-34=62
Moving to Node #0,2
Current State: 39:[8, 15, 62], Operations: ['96-34=62']
Exploring Operation: 62-15=47, Resulting Numbers: [8, 47]
Generated Node #0,2,2: 39:[8, 47] Operation: 62-15=47
Moving to Node #0,2,2
Current State: 39:[8, 47], Operations: ['96-34=62', '62-15=47']
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
23,
50,
55,
10
] | 18 | [
"50-23=27",
"55-10=45",
"45-27=18"
] | Current State: 18:[23, 50, 55, 10], Operations: []
Exploring Operation: 50-23=27, Resulting Numbers: [55, 10, 27]
Generated Node #2: [55, 10, 27] from Operation: 50-23=27
Current State: 18:[55, 10, 27], Operations: ['50-23=27']
Exploring Operation: 55-10=45, Resulting Numbers: [27, 45]
Generated Node #3: [27, 45] from Operation: 55-10=45
Current State: 18:[27, 45], Operations: ['50-23=27', '55-10=45']
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[23, 50, 55, 10], Operations: []
Exploring Operation: 50/10=5, Resulting Numbers: [23, 55, 5]
Generated Node #0,0: 18:[23, 55, 5] Operation: 50/10=5
Exploring Operation: 55-50=5, Resulting Numbers: [23, 10, 5]
Generated Node #0,1: 18:[23, 10, 5] Operation: 55-50=5
Moving to Node #0,1
Current State: 18:[23, 10, 5], Operations: ['55-50=5']
Exploring Operation: 23-10=13, Resulting Numbers: [5, 13]
Generated Node #0,1,0: 18:[5, 13] Operation: 23-10=13
Exploring Operation: 23-5=18, Resulting Numbers: [10, 18]
Generated Node #0,1,1: 18:[10, 18] Operation: 23-5=18
Moving to Node #0,0
Current State: 18:[23, 55, 5], Operations: ['50/10=5']
Exploring Operation: 55/5=11, Resulting Numbers: [23, 11]
Generated Node #0,0,0: 18:[23, 11] Operation: 55/5=11
Exploring Operation: 55-23=32, Resulting Numbers: [5, 32]
Generated Node #0,0,1: 18:[5, 32] Operation: 55-23=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[23, 11], Operations: ['50/10=5', '55/5=11']
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,18 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 18:[5, 32], Operations: ['50/10=5', '55-23=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 18:[10, 18], Operations: ['55-50=5', '23-5=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,18 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[5, 13], Operations: ['55-50=5', '23-10=13']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[23, 50, 55, 10], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [23, 10, 5]
Generated Node #0,1: 18:[23, 10, 5] Operation: 55-50=5
Moving to Node #0,1
Current State: 18:[23, 10, 5], Operations: ['55-50=5']
Exploring Operation: 23-10=13, Resulting Numbers: [5, 13]
Generated Node #0,1,0: 18:[5, 13] Operation: 23-10=13
Moving to Node #0,1,0
Current State: 18:[5, 13], Operations: ['55-50=5', '23-10=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.984375 | hs_2 | mult_heuristic |
[
58,
64,
56,
60
] | 48 | [
"60-58=2",
"56*2=112",
"112-64=48"
] | Current State: 48:[58, 64, 56, 60], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [64, 56, 2]
Generated Node #2: [64, 56, 2] from Operation: 60-58=2
Current State: 48:[64, 56, 2], Operations: ['60-58=2']
Exploring Operation: 56*2=112, Resulting Numbers: [64, 112]
Generated Node #3: [64, 112] from Operation: 56*2=112
Current State: 48:[64, 112], Operations: ['60-58=2', '56*2=112']
Exploring Operation: 112-64=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[58, 64, 56, 60], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [56, 60, 6]
Generated Node #0,0: 48:[56, 60, 6] Operation: 64-58=6
Exploring Operation: 64-60=4, Resulting Numbers: [58, 56, 4]
Generated Node #0,1: 48:[58, 56, 4] Operation: 64-60=4
Exploring Operation: 64-56=8, Resulting Numbers: [58, 60, 8]
Generated Node #0,2: 48:[58, 60, 8] Operation: 64-56=8
Exploring Operation: 60-58=2, Resulting Numbers: [64, 56, 2]
Generated Node #0,3: 48:[64, 56, 2] Operation: 60-58=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[58, 56, 4], Operations: ['64-60=4']
Exploring Operation: 58-56=2, Resulting Numbers: [4, 2]
Generated Node #0,1,0: 48:[4, 2] Operation: 58-56=2
Exploring Operation: 56-4=52, Resulting Numbers: [58, 52]
Generated Node #0,1,1: 48:[58, 52] Operation: 56-4=52
Exploring Operation: 56/4=14, Resulting Numbers: [58, 14]
Generated Node #0,1,2: 48:[58, 14] Operation: 56/4=14
Exploring Operation: 58-4=54, Resulting Numbers: [56, 54]
Generated Node #0,1,3: 48:[56, 54] Operation: 58-4=54
Moving to Node #0,1,0
Current State: 48:[4, 2], Operations: ['64-60=4', '58-56=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[58, 14], Operations: ['64-60=4', '56/4=14']
Exploring Operation: 58*14=812, Resulting Numbers: [812]
812,48 unequal: No Solution
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 58+14=72, Resulting Numbers: [72]
72,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[56, 54], Operations: ['64-60=4', '58-4=54']
Exploring Operation: 56+54=110, Resulting Numbers: [110]
110,48 unequal: No Solution
Exploring Operation: 56*54=3024, Resulting Numbers: [3024]
3024,48 unequal: No Solution
Exploring Operation: 56-54=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[58, 52], Operations: ['64-60=4', '56-4=52']
Exploring Operation: 58-52=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 58*52=3016, Resulting Numbers: [3016]
3016,48 unequal: No Solution
Exploring Operation: 58+52=110, Resulting Numbers: [110]
110,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[56, 60, 6], Operations: ['64-58=6']
Exploring Operation: 60-56=4, Resulting Numbers: [6, 4]
Generated Node #0,0,0: 48:[6, 4] Operation: 60-56=4
Exploring Operation: 60-6=54, Resulting Numbers: [56, 54]
Generated Node #0,0,1: 48:[56, 54] Operation: 60-6=54
Exploring Operation: 60/6=10, Resulting Numbers: [56, 10]
Generated Node #0,0,2: 48:[56, 10] Operation: 60/6=10
Exploring Operation: 56-6=50, Resulting Numbers: [60, 50]
Generated Node #0,0,3: 48:[60, 50] Operation: 56-6=50
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[6, 4], Operations: ['64-58=6', '60-56=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,48 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:[56, 10], Operations: ['64-58=6', '60/6=10']
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,48 unequal: No Solution
Exploring Operation: 56*10=560, Resulting Numbers: [560]
560,48 unequal: No Solution
Exploring Operation: 56+10=66, Resulting Numbers: [66]
66,48 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:[56, 54], Operations: ['64-58=6', '60-6=54']
Exploring Operation: 56*54=3024, Resulting Numbers: [3024]
3024,48 unequal: No Solution
Exploring Operation: 56+54=110, Resulting Numbers: [110]
110,48 unequal: No Solution
Exploring Operation: 56-54=2, Resulting Numbers: [2]
2,48 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:[60, 50], Operations: ['64-58=6', '56-6=50']
Exploring Operation: 60*50=3000, Resulting Numbers: [3000]
3000,48 unequal: No Solution
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 60+50=110, Resulting Numbers: [110]
110,48 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:[58, 60, 8], Operations: ['64-56=8']
Exploring Operation: 58+8=66, Resulting Numbers: [60, 66]
Generated Node #0,2,0: 48:[60, 66] Operation: 58+8=66
Exploring Operation: 60-58=2, Resulting Numbers: [8, 2]
Generated Node #0,2,1: 48:[8, 2] Operation: 60-58=2
Exploring Operation: 58-8=50, Resulting Numbers: [60, 50]
Generated Node #0,2,2: 48:[60, 50] Operation: 58-8=50
Exploring Operation: 60-8=52, Resulting Numbers: [58, 52]
Generated Node #0,2,3: 48:[58, 52] Operation: 60-8=52
Moving to Node #0,2,1
Current State: 48:[8, 2], Operations: ['64-56=8', '60-58=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Moving to Node #0,2,3
Current State: 48:[58, 52], Operations: ['64-56=8', '60-8=52']
Exploring Operation: 58*52=3016, Resulting Numbers: [3016]
3016,48 unequal: No Solution
Exploring Operation: 58+52=110, Resulting Numbers: [110]
110,48 unequal: No Solution
Exploring Operation: 58-52=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Moving to Node #0,2,2
Current State: 48:[60, 50], Operations: ['64-56=8', '58-8=50']
Exploring Operation: 60+50=110, Resulting Numbers: [110]
110,48 unequal: No Solution
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 60*50=3000, Resulting Numbers: [3000]
3000,48 unequal: No Solution
Moving to Node #0,2,0
Current State: 48:[60, 66], Operations: ['64-56=8', '58+8=66']
Exploring Operation: 60+66=126, Resulting Numbers: [126]
126,48 unequal: No Solution
Exploring Operation: 66-60=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 60*66=3960, Resulting Numbers: [3960]
3960,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 48:[64, 56, 2], Operations: ['60-58=2']
Exploring Operation: 64-56=8, Resulting Numbers: [2, 8]
Generated Node #0,3,0: 48:[2, 8] Operation: 64-56=8
Exploring Operation: 64/2=32, Resulting Numbers: [56, 32]
Generated Node #0,3,1: 48:[56, 32] Operation: 64/2=32
Exploring Operation: 64-2=62, Resulting Numbers: [56, 62]
Generated Node #0,3,2: 48:[56, 62] Operation: 64-2=62
Exploring Operation: 56/2=28, Resulting Numbers: [64, 28]
Generated Node #0,3,3: 48:[64, 28] Operation: 56/2=28
Moving to Node #0,3,0
Current State: 48:[2, 8], Operations: ['60-58=2', '64-56=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Moving to Node #0,3,1
Current State: 48:[56, 32], Operations: ['60-58=2', '64/2=32']
Exploring Operation: 56*32=1792, Resulting Numbers: [1792]
1792,48 unequal: No Solution
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 56+32=88, Resulting Numbers: [88]
88,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[64, 28], Operations: ['60-58=2', '56/2=28']
Exploring Operation: 64*28=1792, Resulting Numbers: [1792]
1792,48 unequal: No Solution
Exploring Operation: 64+28=92, Resulting Numbers: [92]
92,48 unequal: No Solution
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[56, 62], Operations: ['60-58=2', '64-2=62']
Exploring Operation: 56*62=3472, Resulting Numbers: [3472]
3472,48 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 56+62=118, Resulting Numbers: [118]
118,48 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 |
[
31,
12,
76,
24
] | 20 | [
"31-12=19",
"76/19=4",
"24-4=20"
] | Current State: 20:[31, 12, 76, 24], Operations: []
Exploring Operation: 31-12=19, Resulting Numbers: [76, 24, 19]
Generated Node #2: [76, 24, 19] from Operation: 31-12=19
Current State: 20:[76, 24, 19], Operations: ['31-12=19']
Exploring Operation: 76/19=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 76/19=4
Current State: 20:[24, 4], Operations: ['31-12=19', '76/19=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[31, 12, 76, 24], Operations: []
Exploring Operation: 76-31=45, Resulting Numbers: [12, 24, 45]
Generated Node #0,0: 20:[12, 24, 45] Operation: 76-31=45
Exploring Operation: 76-12=64, Resulting Numbers: [31, 24, 64]
Generated Node #0,1: 20:[31, 24, 64] Operation: 76-12=64
Exploring Operation: 31-12=19, Resulting Numbers: [76, 24, 19]
Generated Node #0,2: 20:[76, 24, 19] Operation: 31-12=19
Exploring Operation: 76-24=52, Resulting Numbers: [31, 12, 52]
Generated Node #0,3: 20:[31, 12, 52] Operation: 76-24=52
Exploring Operation: 31-24=7, Resulting Numbers: [12, 76, 7]
Generated Node #0,4: 20:[12, 76, 7] Operation: 31-24=7
Moving to Node #0,0
Current State: 20:[12, 24, 45], Operations: ['76-31=45']
Exploring Operation: 12+24=36, Resulting Numbers: [45, 36]
Generated Node #0,0,0: 20:[45, 36] Operation: 12+24=36
Exploring Operation: 45-24=21, Resulting Numbers: [12, 21]
Generated Node #0,0,1: 20:[12, 21] Operation: 45-24=21
Exploring Operation: 45-12=33, Resulting Numbers: [24, 33]
Generated Node #0,0,2: 20:[24, 33] Operation: 45-12=33
Exploring Operation: 24/12=2, Resulting Numbers: [45, 2]
Generated Node #0,0,3: 20:[45, 2] Operation: 24/12=2
Exploring Operation: 24-12=12, Resulting Numbers: [45, 12]
Generated Node #0,0,4: 20:[45, 12] Operation: 24-12=12
Moving to Node #0,3
Current State: 20:[31, 12, 52], Operations: ['76-24=52']
Exploring Operation: 31+12=43, Resulting Numbers: [52, 43]
Generated Node #0,3,0: 20:[52, 43] Operation: 31+12=43
Exploring Operation: 52-12=40, Resulting Numbers: [31, 40]
Generated Node #0,3,1: 20:[31, 40] Operation: 52-12=40
Exploring Operation: 52-31=21, Resulting Numbers: [12, 21]
Generated Node #0,3,2: 20:[12, 21] Operation: 52-31=21
Exploring Operation: 31-12=19, Resulting Numbers: [52, 19]
Generated Node #0,3,3: 20:[52, 19] Operation: 31-12=19
Exploring Operation: 12+52=64, Resulting Numbers: [31, 64]
Generated Node #0,3,4: 20:[31, 64] Operation: 12+52=64
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 20:[12, 21], Operations: ['76-24=52', '52-31=21']
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,20 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,20 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 #0,3,1
Current State: 20:[31, 40], Operations: ['76-24=52', '52-12=40']
Exploring Operation: 31+40=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 31*40=1240, Resulting Numbers: [1240]
1240,20 unequal: No Solution
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,20 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 #0,3,3
Current State: 20:[52, 19], Operations: ['76-24=52', '31-12=19']
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,20 unequal: No Solution
Exploring Operation: 52+19=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 52*19=988, Resulting Numbers: [988]
988,20 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 #0,3,0
Current State: 20:[52, 43], Operations: ['76-24=52', '31+12=43']
Exploring Operation: 52*43=2236, Resulting Numbers: [2236]
2236,20 unequal: No Solution
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 52+43=95, Resulting Numbers: [95]
95,20 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 #0,3,4
Current State: 20:[31, 64], Operations: ['76-24=52', '12+52=64']
Exploring Operation: 31+64=95, Resulting Numbers: [95]
95,20 unequal: No Solution
Exploring Operation: 31*64=1984, Resulting Numbers: [1984]
1984,20 unequal: No Solution
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,20 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: 20:[31, 24, 64], Operations: ['76-12=64']
Exploring Operation: 31+24=55, Resulting Numbers: [64, 55]
Generated Node #0,1,0: 20:[64, 55] Operation: 31+24=55
Exploring Operation: 64-24=40, Resulting Numbers: [31, 40]
Generated Node #0,1,1: 20:[31, 40] Operation: 64-24=40
Exploring Operation: 31-24=7, Resulting Numbers: [64, 7]
Generated Node #0,1,2: 20:[64, 7] Operation: 31-24=7
Exploring Operation: 31+64=95, Resulting Numbers: [24, 95]
Generated Node #0,1,3: 20:[24, 95] Operation: 31+64=95
Exploring Operation: 64-31=33, Resulting Numbers: [24, 33]
Generated Node #0,1,4: 20:[24, 33] Operation: 64-31=33
Moving to Node #0,4
Current State: 20:[12, 76, 7], Operations: ['31-24=7']
Exploring Operation: 12-7=5, Resulting Numbers: [76, 5]
Generated Node #0,4,0: 20:[76, 5] Operation: 12-7=5
Exploring Operation: 12+7=19, Resulting Numbers: [76, 19]
Generated Node #0,4,1: 20:[76, 19] Operation: 12+7=19
Exploring Operation: 76-12=64, Resulting Numbers: [7, 64]
Generated Node #0,4,2: 20:[7, 64] Operation: 76-12=64
Exploring Operation: 76-7=69, Resulting Numbers: [12, 69]
Generated Node #0,4,3: 20:[12, 69] Operation: 76-7=69
Exploring Operation: 76+7=83, Resulting Numbers: [12, 83]
Generated Node #0,4,4: 20:[12, 83] Operation: 76+7=83
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 20:[7, 64], Operations: ['31-24=7', '76-12=64']
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,20 unequal: No Solution
Exploring Operation: 7+64=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 7*64=448, Resulting Numbers: [448]
448,20 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 #0,4,3
Current State: 20:[12, 69], Operations: ['31-24=7', '76-7=69']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,20 unequal: No Solution
Exploring Operation: 12*69=828, Resulting Numbers: [828]
828,20 unequal: No Solution
Exploring Operation: 12+69=81, Resulting Numbers: [81]
81,20 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 #0,4,0
Current State: 20:[76, 5], Operations: ['31-24=7', '12-7=5']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,20 unequal: No Solution
Exploring Operation: 76*5=380, Resulting Numbers: [380]
380,20 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 #0,4,1
Current State: 20:[76, 19], Operations: ['31-24=7', '12+7=19']
Exploring Operation: 76+19=95, Resulting Numbers: [95]
95,20 unequal: No Solution
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,20 unequal: No Solution
Exploring Operation: 76*19=1444, Resulting Numbers: [1444]
1444,20 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 #0,4,4
Current State: 20:[12, 83], Operations: ['31-24=7', '76+7=83']
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 12*83=996, Resulting Numbers: [996]
996,20 unequal: No Solution
Exploring Operation: 12+83=95, Resulting Numbers: [95]
95,20 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: 20:[76, 24, 19], Operations: ['31-12=19']
Exploring Operation: 76-19=57, Resulting Numbers: [24, 57]
Generated Node #0,2,0: 20:[24, 57] Operation: 76-19=57
Exploring Operation: 76+19=95, Resulting Numbers: [24, 95]
Generated Node #0,2,1: 20:[24, 95] Operation: 76+19=95
Exploring Operation: 76-24=52, Resulting Numbers: [19, 52]
Generated Node #0,2,2: 20:[19, 52] Operation: 76-24=52
Exploring Operation: 76/19=4, Resulting Numbers: [24, 4]
Generated Node #0,2,3: 20:[24, 4] Operation: 76/19=4
Exploring Operation: 24-19=5, Resulting Numbers: [76, 5]
Generated Node #0,2,4: 20:[76, 5] Operation: 24-19=5
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 20:[24, 4], Operations: ['31-12=19', '76/19=4']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[31, 12, 76, 24], Operations: []
Exploring Operation: 31-12=19, Resulting Numbers: [76, 24, 19]
Generated Node #0,2: 20:[76, 24, 19] Operation: 31-12=19
Moving to Node #0,2
Current State: 20:[76, 24, 19], Operations: ['31-12=19']
Exploring Operation: 76/19=4, Resulting Numbers: [24, 4]
Generated Node #0,2,3: 20:[24, 4] Operation: 76/19=4
Moving to Node #0,2,3
Current State: 20:[24, 4], Operations: ['31-12=19', '76/19=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184 | hs_5 | mult_heuristic |
[
18,
19,
29,
54
] | 51 | [
"54/18=3",
"19+29=48",
"3+48=51"
] | Current State: 51:[18, 19, 29, 54], Operations: []
Exploring Operation: 54/18=3, Resulting Numbers: [19, 29, 3]
Generated Node #2: [19, 29, 3] from Operation: 54/18=3
Current State: 51:[19, 29, 3], Operations: ['54/18=3']
Exploring Operation: 19+29=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 19+29=48
Current State: 51:[3, 48], Operations: ['54/18=3', '19+29=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[18, 19, 29, 54], Operations: []
Exploring Operation: 19+29=48, Resulting Numbers: [18, 54, 48]
Generated Node #0,0: 51:[18, 54, 48] Operation: 19+29=48
Moving to Node #0,0
Current State: 51:[18, 54, 48], Operations: ['19+29=48']
Exploring Operation: 54/18=3, Resulting Numbers: [48, 3]
Generated Node #0,0,0: 51:[48, 3] Operation: 54/18=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[48, 3], Operations: ['19+29=48', '54/18=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[18, 19, 29, 54], Operations: []
Exploring Operation: 19+29=48, Resulting Numbers: [18, 54, 48]
Generated Node #0,0: 51:[18, 54, 48] Operation: 19+29=48
Moving to Node #0,0
Current State: 51:[18, 54, 48], Operations: ['19+29=48']
Exploring Operation: 54/18=3, Resulting Numbers: [48, 3]
Generated Node #0,0,0: 51:[48, 3] Operation: 54/18=3
Moving to Node #0,0,0
Current State: 51:[48, 3], Operations: ['19+29=48', '54/18=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
27,
1,
19,
67
] | 21 | [
"27*1=27",
"67-19=48",
"48-27=21"
] | Current State: 21:[27, 1, 19, 67], Operations: []
Exploring Operation: 27*1=27, Resulting Numbers: [19, 67, 27]
Generated Node #2: [19, 67, 27] from Operation: 27*1=27
Current State: 21:[19, 67, 27], Operations: ['27*1=27']
Exploring Operation: 67-19=48, Resulting Numbers: [27, 48]
Generated Node #3: [27, 48] from Operation: 67-19=48
Current State: 21:[27, 48], Operations: ['27*1=27', '67-19=48']
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[27, 1, 19, 67], Operations: []
Exploring Operation: 67-27=40, Resulting Numbers: [1, 19, 40]
Generated Node #0,0: 21:[1, 19, 40] Operation: 67-27=40
Exploring Operation: 27-19=8, Resulting Numbers: [1, 67, 8]
Generated Node #0,1: 21:[1, 67, 8] Operation: 27-19=8
Exploring Operation: 67-19=48, Resulting Numbers: [27, 1, 48]
Generated Node #0,2: 21:[27, 1, 48] Operation: 67-19=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[1, 19, 40], Operations: ['67-27=40']
Exploring Operation: 40-19=21, Resulting Numbers: [1, 21]
Generated Node #0,0,0: 21:[1, 21] Operation: 40-19=21
Exploring Operation: 1+19=20, Resulting Numbers: [40, 20]
Generated Node #0,0,1: 21:[40, 20] Operation: 1+19=20
Exploring Operation: 40-1=39, Resulting Numbers: [19, 39]
Generated Node #0,0,2: 21:[19, 39] Operation: 40-1=39
Moving to Node #0,0,0
Current State: 21:[1, 21], Operations: ['67-27=40', '40-19=21']
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[27, 1, 19, 67], Operations: []
Exploring Operation: 67-27=40, Resulting Numbers: [1, 19, 40]
Generated Node #0,0: 21:[1, 19, 40] Operation: 67-27=40
Moving to Node #0,0
Current State: 21:[1, 19, 40], Operations: ['67-27=40']
Exploring Operation: 40-19=21, Resulting Numbers: [1, 21]
Generated Node #0,0,0: 21:[1, 21] Operation: 40-19=21
Moving to Node #0,0,0
Current State: 21:[1, 21], Operations: ['67-27=40', '40-19=21']
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
72,
9,
65,
88
] | 90 | [
"72-9=63",
"65+88=153",
"153-63=90"
] | Current State: 90:[72, 9, 65, 88], Operations: []
Exploring Operation: 72-9=63, Resulting Numbers: [65, 88, 63]
Generated Node #2: [65, 88, 63] from Operation: 72-9=63
Current State: 90:[65, 88, 63], Operations: ['72-9=63']
Exploring Operation: 65+88=153, Resulting Numbers: [63, 153]
Generated Node #3: [63, 153] from Operation: 65+88=153
Current State: 90:[63, 153], Operations: ['72-9=63', '65+88=153']
Exploring Operation: 153-63=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[72, 9, 65, 88], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [9, 88, 7]
Generated Node #0,0: 90:[9, 88, 7] Operation: 72-65=7
Exploring Operation: 72+9=81, Resulting Numbers: [65, 88, 81]
Generated Node #0,1: 90:[65, 88, 81] Operation: 72+9=81
Exploring Operation: 88-72=16, Resulting Numbers: [9, 65, 16]
Generated Node #0,2: 90:[9, 65, 16] Operation: 88-72=16
Exploring Operation: 72/9=8, Resulting Numbers: [65, 88, 8]
Generated Node #0,3: 90:[65, 88, 8] Operation: 72/9=8
Exploring Operation: 88-65=23, Resulting Numbers: [72, 9, 23]
Generated Node #0,4: 90:[72, 9, 23] Operation: 88-65=23
Moving to Node #0,0
Current State: 90:[9, 88, 7], Operations: ['72-65=7']
Exploring Operation: 9-7=2, Resulting Numbers: [88, 2]
Generated Node #0,0,0: 90:[88, 2] Operation: 9-7=2
Exploring Operation: 88-7=81, Resulting Numbers: [9, 81]
Generated Node #0,0,1: 90:[9, 81] Operation: 88-7=81
Exploring Operation: 9+88=97, Resulting Numbers: [7, 97]
Generated Node #0,0,2: 90:[7, 97] Operation: 9+88=97
Exploring Operation: 9+7=16, Resulting Numbers: [88, 16]
Generated Node #0,0,3: 90:[88, 16] Operation: 9+7=16
Exploring Operation: 88+7=95, Resulting Numbers: [9, 95]
Generated Node #0,0,4: 90:[9, 95] Operation: 88+7=95
Moving to Node #0,2
Current State: 90:[9, 65, 16], Operations: ['88-72=16']
Exploring Operation: 65-16=49, Resulting Numbers: [9, 49]
Generated Node #0,2,0: 90:[9, 49] Operation: 65-16=49
Exploring Operation: 16-9=7, Resulting Numbers: [65, 7]
Generated Node #0,2,1: 90:[65, 7] Operation: 16-9=7
Exploring Operation: 65+16=81, Resulting Numbers: [9, 81]
Generated Node #0,2,2: 90:[9, 81] Operation: 65+16=81
Exploring Operation: 65-9=56, Resulting Numbers: [16, 56]
Generated Node #0,2,3: 90:[16, 56] Operation: 65-9=56
Exploring Operation: 9+65=74, Resulting Numbers: [16, 74]
Generated Node #0,2,4: 90:[16, 74] Operation: 9+65=74
Moving to Node #0,3
Current State: 90:[65, 88, 8], Operations: ['72/9=8']
Exploring Operation: 88+8=96, Resulting Numbers: [65, 96]
Generated Node #0,3,0: 90:[65, 96] Operation: 88+8=96
Exploring Operation: 65+8=73, Resulting Numbers: [88, 73]
Generated Node #0,3,1: 90:[88, 73] Operation: 65+8=73
Exploring Operation: 65-8=57, Resulting Numbers: [88, 57]
Generated Node #0,3,2: 90:[88, 57] Operation: 65-8=57
Exploring Operation: 88/8=11, Resulting Numbers: [65, 11]
Generated Node #0,3,3: 90:[65, 11] Operation: 88/8=11
Exploring Operation: 88-65=23, Resulting Numbers: [8, 23]
Generated Node #0,3,4: 90:[8, 23] Operation: 88-65=23
Moving to Node #0,4
Current State: 90:[72, 9, 23], Operations: ['88-65=23']
Exploring Operation: 72/9=8, Resulting Numbers: [23, 8]
Generated Node #0,4,0: 90:[23, 8] Operation: 72/9=8
Exploring Operation: 72-23=49, Resulting Numbers: [9, 49]
Generated Node #0,4,1: 90:[9, 49] Operation: 72-23=49
Exploring Operation: 72+9=81, Resulting Numbers: [23, 81]
Generated Node #0,4,2: 90:[23, 81] Operation: 72+9=81
Exploring Operation: 23-9=14, Resulting Numbers: [72, 14]
Generated Node #0,4,3: 90:[72, 14] Operation: 23-9=14
Exploring Operation: 72+23=95, Resulting Numbers: [9, 95]
Generated Node #0,4,4: 90:[9, 95] Operation: 72+23=95
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 90:[9, 49], Operations: ['88-65=23', '72-23=49']
Exploring Operation: 9*49=441, Resulting Numbers: [441]
441,90 unequal: No Solution
Exploring Operation: 9+49=58, Resulting Numbers: [58]
58,90 unequal: No Solution
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 90:[9, 95], Operations: ['88-65=23', '72+23=95']
Exploring Operation: 9*95=855, Resulting Numbers: [855]
855,90 unequal: No Solution
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,90 unequal: No Solution
Exploring Operation: 9+95=104, Resulting Numbers: [104]
104,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 90:[23, 8], Operations: ['88-65=23', '72/9=8']
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,90 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,90 unequal: No Solution
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 90:[23, 81], Operations: ['88-65=23', '72+9=81']
Exploring Operation: 23+81=104, Resulting Numbers: [104]
104,90 unequal: No Solution
Exploring Operation: 23*81=1863, Resulting Numbers: [1863]
1863,90 unequal: No Solution
Exploring Operation: 81-23=58, Resulting Numbers: [58]
58,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 90:[72, 14], Operations: ['88-65=23', '23-9=14']
Exploring Operation: 72+14=86, Resulting Numbers: [86]
86,90 unequal: No Solution
Exploring Operation: 72-14=58, Resulting Numbers: [58]
58,90 unequal: No Solution
Exploring Operation: 72*14=1008, Resulting Numbers: [1008]
1008,90 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: 90:[65, 88, 81], Operations: ['72+9=81']
Exploring Operation: 88-65=23, Resulting Numbers: [81, 23]
Generated Node #0,1,0: 90:[81, 23] Operation: 88-65=23
Exploring Operation: 88-81=7, Resulting Numbers: [65, 7]
Generated Node #0,1,1: 90:[65, 7] Operation: 88-81=7
Exploring Operation: 65+81=146, Resulting Numbers: [88, 146]
Generated Node #0,1,2: 90:[88, 146] Operation: 65+81=146
Exploring Operation: 81-65=16, Resulting Numbers: [88, 16]
Generated Node #0,1,3: 90:[88, 16] Operation: 81-65=16
Exploring Operation: 65+88=153, Resulting Numbers: [81, 153]
Generated Node #0,1,4: 90:[81, 153] Operation: 65+88=153
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 90:[88, 16], Operations: ['72+9=81', '81-65=16']
Exploring Operation: 88*16=1408, Resulting Numbers: [1408]
1408,90 unequal: No Solution
Exploring Operation: 88+16=104, Resulting Numbers: [104]
104,90 unequal: No Solution
Exploring Operation: 88-16=72, Resulting Numbers: [72]
72,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[81, 23], Operations: ['72+9=81', '88-65=23']
Exploring Operation: 81*23=1863, Resulting Numbers: [1863]
1863,90 unequal: No Solution
Exploring Operation: 81-23=58, Resulting Numbers: [58]
58,90 unequal: No Solution
Exploring Operation: 81+23=104, Resulting Numbers: [104]
104,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[65, 7], Operations: ['72+9=81', '88-81=7']
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,90 unequal: No Solution
Exploring Operation: 65+7=72, Resulting Numbers: [72]
72,90 unequal: No Solution
Exploring Operation: 65*7=455, Resulting Numbers: [455]
455,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 90:[88, 146], Operations: ['72+9=81', '65+81=146']
Exploring Operation: 88+146=234, Resulting Numbers: [234]
234,90 unequal: No Solution
Exploring Operation: 88*146=12848, Resulting Numbers: [12848]
12848,90 unequal: No Solution
Exploring Operation: 146-88=58, Resulting Numbers: [58]
58,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 90:[81, 153], Operations: ['72+9=81', '65+88=153']
Exploring Operation: 81*153=12393, Resulting Numbers: [12393]
12393,90 unequal: No Solution
Exploring Operation: 153-81=72, Resulting Numbers: [72]
72,90 unequal: No Solution
Exploring Operation: 81+153=234, Resulting Numbers: [234]
234,90 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: 90:[88, 2], Operations: ['72-65=7', '9-7=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[72, 9, 65, 88], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [9, 88, 7]
Generated Node #0,0: 90:[9, 88, 7] Operation: 72-65=7
Moving to Node #0,0
Current State: 90:[9, 88, 7], Operations: ['72-65=7']
Exploring Operation: 9-7=2, Resulting Numbers: [88, 2]
Generated Node #0,0,0: 90:[88, 2] Operation: 9-7=2
Moving to Node #0,0,0
Current State: 90:[88, 2], Operations: ['72-65=7', '9-7=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 0.943576 | hs_5 | sum_heuristic |
[
24,
72,
15,
67
] | 100 | [
"72-24=48",
"67-15=52",
"48+52=100"
] | Current State: 100:[24, 72, 15, 67], Operations: []
Exploring Operation: 72-24=48, Resulting Numbers: [15, 67, 48]
Generated Node #2: [15, 67, 48] from Operation: 72-24=48
Current State: 100:[15, 67, 48], Operations: ['72-24=48']
Exploring Operation: 67-15=52, Resulting Numbers: [48, 52]
Generated Node #3: [48, 52] from Operation: 67-15=52
Current State: 100:[48, 52], Operations: ['72-24=48', '67-15=52']
Exploring Operation: 48+52=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[24, 72, 15, 67], Operations: []
Exploring Operation: 72-24=48, Resulting Numbers: [15, 67, 48]
Generated Node #0,0: 100:[15, 67, 48] Operation: 72-24=48
Exploring Operation: 72-15=57, Resulting Numbers: [24, 67, 57]
Generated Node #0,1: 100:[24, 67, 57] Operation: 72-15=57
Exploring Operation: 72-67=5, Resulting Numbers: [24, 15, 5]
Generated Node #0,2: 100:[24, 15, 5] Operation: 72-67=5
Exploring Operation: 72/24=3, Resulting Numbers: [15, 67, 3]
Generated Node #0,3: 100:[15, 67, 3] Operation: 72/24=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[24, 15, 5], Operations: ['72-67=5']
Exploring Operation: 15+5=20, Resulting Numbers: [24, 20]
Generated Node #0,2,0: 100:[24, 20] Operation: 15+5=20
Exploring Operation: 15-5=10, Resulting Numbers: [24, 10]
Generated Node #0,2,1: 100:[24, 10] Operation: 15-5=10
Exploring Operation: 15/5=3, Resulting Numbers: [24, 3]
Generated Node #0,2,2: 100:[24, 3] Operation: 15/5=3
Exploring Operation: 24-15=9, Resulting Numbers: [5, 9]
Generated Node #0,2,3: 100:[5, 9] Operation: 24-15=9
Moving to Node #0,2,0
Current State: 100:[24, 20], Operations: ['72-67=5', '15+5=20']
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,100 unequal: No Solution
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Moving to Node #0,2,3
Current State: 100:[5, 9], Operations: ['72-67=5', '24-15=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,100 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Moving to Node #0,2,1
Current State: 100:[24, 10], Operations: ['72-67=5', '15-5=10']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,100 unequal: No Solution
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[24, 3], Operations: ['72-67=5', '15/5=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,100 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,100 unequal: No Solution
No 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: 100:[15, 67, 3], Operations: ['72/24=3']
Exploring Operation: 15+3=18, Resulting Numbers: [67, 18]
Generated Node #0,3,0: 100:[67, 18] Operation: 15+3=18
Exploring Operation: 15/3=5, Resulting Numbers: [67, 5]
Generated Node #0,3,1: 100:[67, 5] Operation: 15/3=5
Exploring Operation: 15+67=82, Resulting Numbers: [3, 82]
Generated Node #0,3,2: 100:[3, 82] Operation: 15+67=82
Exploring Operation: 67-15=52, Resulting Numbers: [3, 52]
Generated Node #0,3,3: 100:[3, 52] Operation: 67-15=52
Moving to Node #0,3,3
Current State: 100:[3, 52], Operations: ['72/24=3', '67-15=52']
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,100 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[67, 5], Operations: ['72/24=3', '15/3=5']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 67*5=335, Resulting Numbers: [335]
335,100 unequal: No Solution
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[3, 82], Operations: ['72/24=3', '15+67=82']
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,100 unequal: No Solution
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 3*82=246, Resulting Numbers: [246]
246,100 unequal: No Solution
Moving to Node #0,3,0
Current State: 100:[67, 18], Operations: ['72/24=3', '15+3=18']
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 67*18=1206, Resulting Numbers: [1206]
1206,100 unequal: No Solution
Exploring Operation: 67+18=85, Resulting Numbers: [85]
85,100 unequal: No Solution
No 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: 100:[15, 67, 48], Operations: ['72-24=48']
Exploring Operation: 15+67=82, Resulting Numbers: [48, 82]
Generated Node #0,0,0: 100:[48, 82] Operation: 15+67=82
Exploring Operation: 67-48=19, Resulting Numbers: [15, 19]
Generated Node #0,0,1: 100:[15, 19] Operation: 67-48=19
Exploring Operation: 67+48=115, Resulting Numbers: [15, 115]
Generated Node #0,0,2: 100:[15, 115] Operation: 67+48=115
Exploring Operation: 67-15=52, Resulting Numbers: [48, 52]
Generated Node #0,0,3: 100:[48, 52] Operation: 67-15=52
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 100:[48, 52], Operations: ['72-24=48', '67-15=52']
Exploring Operation: 48*52=2496, Resulting Numbers: [2496]
2496,100 unequal: No Solution
Exploring Operation: 48+52=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[24, 72, 15, 67], Operations: []
Exploring Operation: 72-24=48, Resulting Numbers: [15, 67, 48]
Generated Node #0,0: 100:[15, 67, 48] Operation: 72-24=48
Moving to Node #0,0
Current State: 100:[15, 67, 48], Operations: ['72-24=48']
Exploring Operation: 67-15=52, Resulting Numbers: [48, 52]
Generated Node #0,0,3: 100:[48, 52] Operation: 67-15=52
Moving to Node #0,0,3
Current State: 100:[48, 52], Operations: ['72-24=48', '67-15=52']
Exploring Operation: 48+52=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.959201 | hs_4 | mult_heuristic |
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