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 |
|---|---|---|---|---|---|---|---|---|
[
66,
33,
81,
64
] | 15 | [
"66/33=2",
"81-64=17",
"17-2=15"
] | Current State: 15:[66, 33, 81, 64], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [81, 64, 2]
Generated Node #2: [81, 64, 2] from Operation: 66/33=2
Current State: 15:[81, 64, 2], Operations: ['66/33=2']
Exploring Operation: 81-64=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 81-64=17
Current State: 15:[2, 17], Operations: ['66/33=2', '81-64=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[66, 33, 81, 64], Operations: []
Exploring Operation: 81-66=15, Resulting Numbers: [33, 64, 15]
Generated Node #0,0: 15:[33, 64, 15] Operation: 81-66=15
Exploring Operation: 66-33=33, Resulting Numbers: [81, 64, 33]
Generated Node #0,1: 15:[81, 64, 33] Operation: 66-33=33
Exploring Operation: 66/33=2, Resulting Numbers: [81, 64, 2]
Generated Node #0,2: 15:[81, 64, 2] Operation: 66/33=2
Exploring Operation: 81-64=17, Resulting Numbers: [66, 33, 17]
Generated Node #0,3: 15:[66, 33, 17] Operation: 81-64=17
Exploring Operation: 66-64=2, Resulting Numbers: [33, 81, 2]
Generated Node #0,4: 15:[33, 81, 2] Operation: 66-64=2
Moving to Node #0,0
Current State: 15:[33, 64, 15], Operations: ['81-66=15']
Exploring Operation: 33-15=18, Resulting Numbers: [64, 18]
Generated Node #0,0,0: 15:[64, 18] Operation: 33-15=18
Exploring Operation: 64-33=31, Resulting Numbers: [15, 31]
Generated Node #0,0,1: 15:[15, 31] Operation: 64-33=31
Exploring Operation: 64-15=49, Resulting Numbers: [33, 49]
Generated Node #0,0,2: 15:[33, 49] Operation: 64-15=49
Exploring Operation: 33+15=48, Resulting Numbers: [64, 48]
Generated Node #0,0,3: 15:[64, 48] Operation: 33+15=48
Exploring Operation: 33+64=97, Resulting Numbers: [15, 97]
Generated Node #0,0,4: 15:[15, 97] Operation: 33+64=97
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[15, 31], Operations: ['81-66=15', '64-33=31']
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 15*31=465, Resulting Numbers: [465]
465,15 unequal: No Solution
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[64, 18], Operations: ['81-66=15', '33-15=18']
Exploring Operation: 64+18=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 64*18=1152, Resulting Numbers: [1152]
1152,15 unequal: No Solution
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 15:[33, 49], Operations: ['81-66=15', '64-15=49']
Exploring Operation: 33+49=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,15 unequal: No Solution
Exploring Operation: 33*49=1617, Resulting Numbers: [1617]
1617,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 15:[64, 48], Operations: ['81-66=15', '33+15=48']
Exploring Operation: 64+48=112, Resulting Numbers: [112]
112,15 unequal: No Solution
Exploring Operation: 64*48=3072, Resulting Numbers: [3072]
3072,15 unequal: No Solution
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 15:[15, 97], Operations: ['81-66=15', '33+64=97']
Exploring Operation: 15+97=112, Resulting Numbers: [112]
112,15 unequal: No Solution
Exploring Operation: 97-15=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 15*97=1455, Resulting Numbers: [1455]
1455,15 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: 15:[66, 33, 17], Operations: ['81-64=17']
Exploring Operation: 33-17=16, Resulting Numbers: [66, 16]
Generated Node #0,3,0: 15:[66, 16] Operation: 33-17=16
Exploring Operation: 66/33=2, Resulting Numbers: [17, 2]
Generated Node #0,3,1: 15:[17, 2] Operation: 66/33=2
Exploring Operation: 66+33=99, Resulting Numbers: [17, 99]
Generated Node #0,3,2: 15:[17, 99] Operation: 66+33=99
Exploring Operation: 66-17=49, Resulting Numbers: [33, 49]
Generated Node #0,3,3: 15:[33, 49] Operation: 66-17=49
Exploring Operation: 66-33=33, Resulting Numbers: [17, 33]
Generated Node #0,3,4: 15:[17, 33] Operation: 66-33=33
Moving to Node #0,4
Current State: 15:[33, 81, 2], Operations: ['66-64=2']
Exploring Operation: 81+2=83, Resulting Numbers: [33, 83]
Generated Node #0,4,0: 15:[33, 83] Operation: 81+2=83
Exploring Operation: 33-2=31, Resulting Numbers: [81, 31]
Generated Node #0,4,1: 15:[81, 31] Operation: 33-2=31
Exploring Operation: 33+2=35, Resulting Numbers: [81, 35]
Generated Node #0,4,2: 15:[81, 35] Operation: 33+2=35
Exploring Operation: 81-2=79, Resulting Numbers: [33, 79]
Generated Node #0,4,3: 15:[33, 79] Operation: 81-2=79
Exploring Operation: 81-33=48, Resulting Numbers: [2, 48]
Generated Node #0,4,4: 15:[2, 48] Operation: 81-33=48
Moving to Node #0,2
Current State: 15:[81, 64, 2], Operations: ['66/33=2']
Exploring Operation: 81-2=79, Resulting Numbers: [64, 79]
Generated Node #0,2,0: 15:[64, 79] Operation: 81-2=79
Exploring Operation: 64/2=32, Resulting Numbers: [81, 32]
Generated Node #0,2,1: 15:[81, 32] Operation: 64/2=32
Exploring Operation: 64-2=62, Resulting Numbers: [81, 62]
Generated Node #0,2,2: 15:[81, 62] Operation: 64-2=62
Exploring Operation: 81+2=83, Resulting Numbers: [64, 83]
Generated Node #0,2,3: 15:[64, 83] Operation: 81+2=83
Exploring Operation: 81-64=17, Resulting Numbers: [2, 17]
Generated Node #0,2,4: 15:[2, 17] Operation: 81-64=17
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 15:[2, 17], Operations: ['66/33=2', '81-64=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[66, 33, 81, 64], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [81, 64, 2]
Generated Node #0,2: 15:[81, 64, 2] Operation: 66/33=2
Moving to Node #0,2
Current State: 15:[81, 64, 2], Operations: ['66/33=2']
Exploring Operation: 81-64=17, Resulting Numbers: [2, 17]
Generated Node #0,2,4: 15:[2, 17] Operation: 81-64=17
Moving to Node #0,2,4
Current State: 15:[2, 17], Operations: ['66/33=2', '81-64=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_5 | sum_heuristic |
[
75,
95,
8,
52
] | 24 | [
"95-75=20",
"52-8=44",
"44-20=24"
] | Current State: 24:[75, 95, 8, 52], Operations: []
Exploring Operation: 95-75=20, Resulting Numbers: [8, 52, 20]
Generated Node #2: [8, 52, 20] from Operation: 95-75=20
Current State: 24:[8, 52, 20], Operations: ['95-75=20']
Exploring Operation: 52-8=44, Resulting Numbers: [20, 44]
Generated Node #3: [20, 44] from Operation: 52-8=44
Current State: 24:[20, 44], Operations: ['95-75=20', '52-8=44']
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[75, 95, 8, 52], Operations: []
Exploring Operation: 95-75=20, Resulting Numbers: [8, 52, 20]
Generated Node #0,0: 24:[8, 52, 20] Operation: 95-75=20
Moving to Node #0,0
Current State: 24:[8, 52, 20], Operations: ['95-75=20']
Exploring Operation: 52-20=32, Resulting Numbers: [8, 32]
Generated Node #0,0,0: 24:[8, 32] Operation: 52-20=32
Moving to Node #0,0,0
Current State: 24:[8, 32], Operations: ['95-75=20', '52-20=32']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[75, 95, 8, 52], Operations: []
Exploring Operation: 95-75=20, Resulting Numbers: [8, 52, 20]
Generated Node #0,0: 24:[8, 52, 20] Operation: 95-75=20
Moving to Node #0,0
Current State: 24:[8, 52, 20], Operations: ['95-75=20']
Exploring Operation: 52-20=32, Resulting Numbers: [8, 32]
Generated Node #0,0,0: 24:[8, 32] Operation: 52-20=32
Moving to Node #0,0,0
Current State: 24:[8, 32], Operations: ['95-75=20', '52-20=32']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
24,
18,
33,
13
] | 52 | [
"24-18=6",
"33+13=46",
"6+46=52"
] | Current State: 52:[24, 18, 33, 13], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [33, 13, 6]
Generated Node #2: [33, 13, 6] from Operation: 24-18=6
Current State: 52:[33, 13, 6], Operations: ['24-18=6']
Exploring Operation: 33+13=46, Resulting Numbers: [6, 46]
Generated Node #3: [6, 46] from Operation: 33+13=46
Current State: 52:[6, 46], Operations: ['24-18=6', '33+13=46']
Exploring Operation: 6+46=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[24, 18, 33, 13], Operations: []
Exploring Operation: 18+33=51, Resulting Numbers: [24, 13, 51]
Generated Node #0,0: 52:[24, 13, 51] Operation: 18+33=51
Exploring Operation: 33-18=15, Resulting Numbers: [24, 13, 15]
Generated Node #0,1: 52:[24, 13, 15] Operation: 33-18=15
Moving to Node #0,0
Current State: 52:[24, 13, 51], Operations: ['18+33=51']
Exploring Operation: 51-24=27, Resulting Numbers: [13, 27]
Generated Node #0,0,0: 52:[13, 27] Operation: 51-24=27
Exploring Operation: 24-13=11, Resulting Numbers: [51, 11]
Generated Node #0,0,1: 52:[51, 11] Operation: 24-13=11
Moving to Node #0,1
Current State: 52:[24, 13, 15], Operations: ['33-18=15']
Exploring Operation: 15-13=2, Resulting Numbers: [24, 2]
Generated Node #0,1,0: 52:[24, 2] Operation: 15-13=2
Exploring Operation: 24-13=11, Resulting Numbers: [15, 11]
Generated Node #0,1,1: 52:[15, 11] Operation: 24-13=11
Moving to Node #0,0,0
Current State: 52:[13, 27], Operations: ['18+33=51', '51-24=27']
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[24, 2], Operations: ['33-18=15', '15-13=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[51, 11], Operations: ['18+33=51', '24-13=11']
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,52 unequal: No Solution
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[15, 11], Operations: ['33-18=15', '24-13=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,52 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
55,
27,
34,
67
] | 73 | [
"55-27=28",
"34+67=101",
"101-28=73"
] | Current State: 73:[55, 27, 34, 67], Operations: []
Exploring Operation: 55-27=28, Resulting Numbers: [34, 67, 28]
Generated Node #2: [34, 67, 28] from Operation: 55-27=28
Current State: 73:[34, 67, 28], Operations: ['55-27=28']
Exploring Operation: 34+67=101, Resulting Numbers: [28, 101]
Generated Node #3: [28, 101] from Operation: 34+67=101
Current State: 73:[28, 101], Operations: ['55-27=28', '34+67=101']
Exploring Operation: 101-28=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[55, 27, 34, 67], Operations: []
Exploring Operation: 55-27=28, Resulting Numbers: [34, 67, 28]
Generated Node #0,0: 73:[34, 67, 28] Operation: 55-27=28
Exploring Operation: 27+67=94, Resulting Numbers: [55, 34, 94]
Generated Node #0,1: 73:[55, 34, 94] Operation: 27+67=94
Exploring Operation: 55+34=89, Resulting Numbers: [27, 67, 89]
Generated Node #0,2: 73:[27, 67, 89] Operation: 55+34=89
Exploring Operation: 27+34=61, Resulting Numbers: [55, 67, 61]
Generated Node #0,3: 73:[55, 67, 61] Operation: 27+34=61
Exploring Operation: 55+27=82, Resulting Numbers: [34, 67, 82]
Generated Node #0,4: 73:[34, 67, 82] Operation: 55+27=82
Moving to Node #0,3
Current State: 73:[55, 67, 61], Operations: ['27+34=61']
Exploring Operation: 61-55=6, Resulting Numbers: [67, 6]
Generated Node #0,3,0: 73:[67, 6] Operation: 61-55=6
Exploring Operation: 55+67=122, Resulting Numbers: [61, 122]
Generated Node #0,3,1: 73:[61, 122] Operation: 55+67=122
Exploring Operation: 67-55=12, Resulting Numbers: [61, 12]
Generated Node #0,3,2: 73:[61, 12] Operation: 67-55=12
Exploring Operation: 55+61=116, Resulting Numbers: [67, 116]
Generated Node #0,3,3: 73:[67, 116] Operation: 55+61=116
Exploring Operation: 67+61=128, Resulting Numbers: [55, 128]
Generated Node #0,3,4: 73:[55, 128] Operation: 67+61=128
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 73:[67, 116], Operations: ['27+34=61', '55+61=116']
Exploring Operation: 116-67=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 67*116=7772, Resulting Numbers: [7772]
7772,73 unequal: No Solution
Exploring Operation: 67+116=183, Resulting Numbers: [183]
183,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 73:[61, 122], Operations: ['27+34=61', '55+67=122']
Exploring Operation: 61*122=7442, Resulting Numbers: [7442]
7442,73 unequal: No Solution
Exploring Operation: 122-61=61, Resulting Numbers: [61]
61,73 unequal: No Solution
Exploring Operation: 61+122=183, Resulting Numbers: [183]
183,73 unequal: No Solution
Exploring Operation: 122/61=2, Resulting Numbers: [2]
2,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[67, 6], Operations: ['27+34=61', '61-55=6']
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,73 unequal: No Solution
Exploring Operation: 67*6=402, Resulting Numbers: [402]
402,73 unequal: No Solution
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[55, 27, 34, 67], Operations: []
Exploring Operation: 27+34=61, Resulting Numbers: [55, 67, 61]
Generated Node #0,3: 73:[55, 67, 61] Operation: 27+34=61
Moving to Node #0,3
Current State: 73:[55, 67, 61], Operations: ['27+34=61']
Exploring Operation: 61-55=6, Resulting Numbers: [67, 6]
Generated Node #0,3,0: 73:[67, 6] Operation: 61-55=6
Moving to Node #0,3,0
Current State: 73:[67, 6], Operations: ['27+34=61', '61-55=6']
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_5 | mult_heuristic |
[
11,
2,
8,
66
] | 48 | [
"8+66=74",
"74/2=37",
"11+37=48"
] | Current State: 48:[11, 2, 8, 66], Operations: []
Exploring Operation: 8+66=74, Resulting Numbers: [11, 2, 74]
Generated Node #2: [11, 2, 74] from Operation: 8+66=74
Current State: 48:[11, 2, 74], Operations: ['8+66=74']
Exploring Operation: 74/2=37, Resulting Numbers: [11, 37]
Generated Node #3: [11, 37] from Operation: 74/2=37
Current State: 48:[11, 37], Operations: ['8+66=74', '74/2=37']
Exploring Operation: 11+37=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[11, 2, 8, 66], Operations: []
Exploring Operation: 66-11=55, Resulting Numbers: [2, 8, 55]
Generated Node #0,0: 48:[2, 8, 55] Operation: 66-11=55
Exploring Operation: 66/2=33, Resulting Numbers: [11, 8, 33]
Generated Node #0,1: 48:[11, 8, 33] Operation: 66/2=33
Exploring Operation: 66/11=6, Resulting Numbers: [2, 8, 6]
Generated Node #0,2: 48:[2, 8, 6] Operation: 66/11=6
Moving to Node #0,2
Current State: 48:[2, 8, 6], Operations: ['66/11=6']
Exploring Operation: 2*8=16, Resulting Numbers: [6, 16]
Generated Node #0,2,0: 48:[6, 16] Operation: 2*8=16
Exploring Operation: 8-2=6, Resulting Numbers: [6, 6]
Generated Node #0,2,1: 48:[6, 6] Operation: 8-2=6
Exploring Operation: 8/2=4, Resulting Numbers: [6, 4]
Generated Node #0,2,2: 48:[6, 4] Operation: 8/2=4
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[6, 16], Operations: ['66/11=6', '2*8=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,48 unequal: No Solution
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,48 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 48:[6, 6], Operations: ['66/11=6', '8-2=6']
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,48 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 48:[6, 4], Operations: ['66/11=6', '8/2=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 48:[2, 8, 55], Operations: ['66-11=55']
Exploring Operation: 2*8=16, Resulting Numbers: [55, 16]
Generated Node #0,0,0: 48:[55, 16] Operation: 2*8=16
Exploring Operation: 55-2=53, Resulting Numbers: [8, 53]
Generated Node #0,0,1: 48:[8, 53] Operation: 55-2=53
Exploring Operation: 55-8=47, Resulting Numbers: [2, 47]
Generated Node #0,0,2: 48:[2, 47] Operation: 55-8=47
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 48:[2, 47], Operations: ['66-11=55', '55-8=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,48 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,48 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,48 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 #0,0,1
Current State: 48:[8, 53], Operations: ['66-11=55', '55-2=53']
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,48 unequal: No Solution
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,48 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[55, 16], Operations: ['66-11=55', '2*8=16']
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 55*16=880, Resulting Numbers: [880]
880,48 unequal: No Solution
Exploring Operation: 55+16=71, Resulting Numbers: [71]
71,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 48:[11, 8, 33], Operations: ['66/2=33']
Exploring Operation: 33-8=25, Resulting Numbers: [11, 25]
Generated Node #0,1,0: 48:[11, 25] Operation: 33-8=25
Exploring Operation: 33/11=3, Resulting Numbers: [8, 3]
Generated Node #0,1,1: 48:[8, 3] Operation: 33/11=3
Exploring Operation: 33-11=22, Resulting Numbers: [8, 22]
Generated Node #0,1,2: 48:[8, 22] Operation: 33-11=22
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[8, 3], Operations: ['66/2=33', '33/11=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[11, 25], Operations: ['66/2=33', '33-8=25']
Exploring Operation: 11+25=36, Resulting Numbers: [36]
36,48 unequal: No Solution
Exploring Operation: 11*25=275, Resulting Numbers: [275]
275,48 unequal: No Solution
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 48:[8, 22], Operations: ['66/2=33', '33-11=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 8*22=176, Resulting Numbers: [176]
176,48 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,48 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 |
[
8,
24,
16,
74
] | 13 | [
"16/8=2",
"74/2=37",
"37-24=13"
] | Current State: 13:[8, 24, 16, 74], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [24, 74, 2]
Generated Node #2: [24, 74, 2] from Operation: 16/8=2
Current State: 13:[24, 74, 2], Operations: ['16/8=2']
Exploring Operation: 74/2=37, Resulting Numbers: [24, 37]
Generated Node #3: [24, 37] from Operation: 74/2=37
Current State: 13:[24, 37], Operations: ['16/8=2', '74/2=37']
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[8, 24, 16, 74], Operations: []
Exploring Operation: 74-24=50, Resulting Numbers: [8, 16, 50]
Generated Node #0,0: 13:[8, 16, 50] Operation: 74-24=50
Exploring Operation: 74-8=66, Resulting Numbers: [24, 16, 66]
Generated Node #0,1: 13:[24, 16, 66] Operation: 74-8=66
Exploring Operation: 74-16=58, Resulting Numbers: [8, 24, 58]
Generated Node #0,2: 13:[8, 24, 58] Operation: 74-16=58
Exploring Operation: 24-8=16, Resulting Numbers: [16, 74, 16]
Generated Node #0,3: 13:[16, 74, 16] Operation: 24-8=16
Moving to Node #0,0
Current State: 13:[8, 16, 50], Operations: ['74-24=50']
Exploring Operation: 50-16=34, Resulting Numbers: [8, 34]
Generated Node #0,0,0: 13:[8, 34] Operation: 50-16=34
Exploring Operation: 16-8=8, Resulting Numbers: [50, 8]
Generated Node #0,0,1: 13:[50, 8] Operation: 16-8=8
Exploring Operation: 50-8=42, Resulting Numbers: [16, 42]
Generated Node #0,0,2: 13:[16, 42] Operation: 50-8=42
Exploring Operation: 8+16=24, Resulting Numbers: [50, 24]
Generated Node #0,0,3: 13:[50, 24] Operation: 8+16=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[8, 34], Operations: ['74-24=50', '50-16=34']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 8*34=272, Resulting Numbers: [272]
272,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 13:[16, 42], Operations: ['74-24=50', '50-8=42']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 16*42=672, Resulting Numbers: [672]
672,13 unequal: No Solution
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,13 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:[50, 8], Operations: ['74-24=50', '16-8=8']
Exploring Operation: 50*8=400, Resulting Numbers: [400]
400,13 unequal: No Solution
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 13:[50, 24], Operations: ['74-24=50', '8+16=24']
Exploring Operation: 50*24=1200, Resulting Numbers: [1200]
1200,13 unequal: No Solution
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 50+24=74, Resulting Numbers: [74]
74,13 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: 13:[8, 24, 58], Operations: ['74-16=58']
Exploring Operation: 24/8=3, Resulting Numbers: [58, 3]
Generated Node #0,2,0: 13:[58, 3] Operation: 24/8=3
Exploring Operation: 58-24=34, Resulting Numbers: [8, 34]
Generated Node #0,2,1: 13:[8, 34] Operation: 58-24=34
Exploring Operation: 58-8=50, Resulting Numbers: [24, 50]
Generated Node #0,2,2: 13:[24, 50] Operation: 58-8=50
Exploring Operation: 24-8=16, Resulting Numbers: [58, 16]
Generated Node #0,2,3: 13:[58, 16] Operation: 24-8=16
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 13:[8, 34], Operations: ['74-16=58', '58-24=34']
Exploring Operation: 8*34=272, Resulting Numbers: [272]
272,13 unequal: No Solution
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,13 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 #0,2,2
Current State: 13:[24, 50], Operations: ['74-16=58', '58-8=50']
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 24+50=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 24*50=1200, Resulting Numbers: [1200]
1200,13 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 #0,2,3
Current State: 13:[58, 16], Operations: ['74-16=58', '24-8=16']
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 58*16=928, Resulting Numbers: [928]
928,13 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 #0,2,0
Current State: 13:[58, 3], Operations: ['74-16=58', '24/8=3']
Exploring Operation: 58*3=174, Resulting Numbers: [174]
174,13 unequal: No Solution
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,13 unequal: No Solution
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,13 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: 13:[16, 74, 16], Operations: ['24-8=16']
Exploring Operation: 16/16=1, Resulting Numbers: [74, 1]
Generated Node #0,3,0: 13:[74, 1] Operation: 16/16=1
Exploring Operation: 74-16=58, Resulting Numbers: [16, 58]
Generated Node #0,3,1: 13:[16, 58] Operation: 74-16=58
Exploring Operation: 16-16=0, Resulting Numbers: [74, 0]
Generated Node #0,3,2: 13:[74, 0] Operation: 16-16=0
Exploring Operation: 74-16=58, Resulting Numbers: [16, 58]
Generated Node #0,3,3: 13:[16, 58] Operation: 74-16=58
Moving to Node #0,1
Current State: 13:[24, 16, 66], Operations: ['74-8=66']
Exploring Operation: 66-24=42, Resulting Numbers: [16, 42]
Generated Node #0,1,0: 13:[16, 42] Operation: 66-24=42
Exploring Operation: 24-16=8, Resulting Numbers: [66, 8]
Generated Node #0,1,1: 13:[66, 8] Operation: 24-16=8
Exploring Operation: 66-16=50, Resulting Numbers: [24, 50]
Generated Node #0,1,2: 13:[24, 50] Operation: 66-16=50
Exploring Operation: 24+16=40, Resulting Numbers: [66, 40]
Generated Node #0,1,3: 13:[66, 40] Operation: 24+16=40
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[16, 42], Operations: ['74-8=66', '66-24=42']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 16*42=672, Resulting Numbers: [672]
672,13 unequal: No Solution
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,13 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 #0,1,2
Current State: 13:[24, 50], Operations: ['74-8=66', '66-16=50']
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 24*50=1200, Resulting Numbers: [1200]
1200,13 unequal: No Solution
Exploring Operation: 24+50=74, Resulting Numbers: [74]
74,13 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:[66, 8], Operations: ['74-8=66', '24-16=8']
Exploring Operation: 66+8=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 66*8=528, Resulting Numbers: [528]
528,13 unequal: No Solution
Exploring Operation: 66-8=58, Resulting Numbers: [58]
58,13 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 #0,1,3
Current State: 13:[66, 40], Operations: ['74-8=66', '24+16=40']
Exploring Operation: 66-40=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 66+40=106, Resulting Numbers: [106]
106,13 unequal: No Solution
Exploring Operation: 66*40=2640, Resulting Numbers: [2640]
2640,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 13:[16, 58], Operations: ['24-8=16', '74-16=58']
Exploring Operation: 16+58=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 16*58=928, Resulting Numbers: [928]
928,13 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Moving to Node #0,3,3
Current State: 13:[16, 58], Operations: ['24-8=16', '74-16=58']
Exploring Operation: 16*58=928, Resulting Numbers: [928]
928,13 unequal: No Solution
Exploring Operation: 16+58=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Moving to Node #0,3,0
Current State: 13:[74, 1], Operations: ['24-8=16', '16/16=1']
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,13 unequal: No Solution
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,13 unequal: No Solution
Moving to Node #0,3,2
Current State: 13:[74, 0], Operations: ['24-8=16', '16-16=0']
Exploring Operation: 74+0=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 74-0=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 74*0=0, Resulting Numbers: [0]
0,13 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
34,
20,
25,
90
] | 79 | [
"34-20=14",
"90-25=65",
"14+65=79"
] | Current State: 79:[34, 20, 25, 90], Operations: []
Exploring Operation: 34-20=14, Resulting Numbers: [25, 90, 14]
Generated Node #2: [25, 90, 14] from Operation: 34-20=14
Current State: 79:[25, 90, 14], Operations: ['34-20=14']
Exploring Operation: 90-25=65, Resulting Numbers: [14, 65]
Generated Node #3: [14, 65] from Operation: 90-25=65
Current State: 79:[14, 65], Operations: ['34-20=14', '90-25=65']
Exploring Operation: 14+65=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[34, 20, 25, 90], Operations: []
Exploring Operation: 34+25=59, Resulting Numbers: [20, 90, 59]
Generated Node #0,0: 79:[20, 90, 59] Operation: 34+25=59
Exploring Operation: 34+20=54, Resulting Numbers: [25, 90, 54]
Generated Node #0,1: 79:[25, 90, 54] Operation: 34+20=54
Exploring Operation: 90-20=70, Resulting Numbers: [34, 25, 70]
Generated Node #0,2: 79:[34, 25, 70] Operation: 90-20=70
Exploring Operation: 20+25=45, Resulting Numbers: [34, 90, 45]
Generated Node #0,3: 79:[34, 90, 45] Operation: 20+25=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[20, 90, 59], Operations: ['34+25=59']
Exploring Operation: 90-20=70, Resulting Numbers: [59, 70]
Generated Node #0,0,0: 79:[59, 70] Operation: 90-20=70
Exploring Operation: 20+90=110, Resulting Numbers: [59, 110]
Generated Node #0,0,1: 79:[59, 110] Operation: 20+90=110
Exploring Operation: 20+59=79, Resulting Numbers: [90, 79]
Generated Node #0,0,2: 79:[90, 79] Operation: 20+59=79
Exploring Operation: 59-20=39, Resulting Numbers: [90, 39]
Generated Node #0,0,3: 79:[90, 39] Operation: 59-20=39
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 79:[90, 79], Operations: ['34+25=59', '20+59=79']
Exploring Operation: 90-79=11, Resulting Numbers: [11]
11,79 unequal: No Solution
Exploring Operation: 90+79=169, Resulting Numbers: [169]
169,79 unequal: No Solution
Exploring Operation: 90*79=7110, Resulting Numbers: [7110]
7110,79 unequal: No Solution
No 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: 79:[59, 70], Operations: ['34+25=59', '90-20=70']
Exploring Operation: 59+70=129, Resulting Numbers: [129]
129,79 unequal: No Solution
Exploring Operation: 70-59=11, Resulting Numbers: [11]
11,79 unequal: No Solution
Exploring Operation: 59*70=4130, Resulting Numbers: [4130]
4130,79 unequal: No Solution
No 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: 79:[59, 110], Operations: ['34+25=59', '20+90=110']
Exploring Operation: 110-59=51, Resulting Numbers: [51]
51,79 unequal: No Solution
Exploring Operation: 59*110=6490, Resulting Numbers: [6490]
6490,79 unequal: No Solution
Exploring Operation: 59+110=169, Resulting Numbers: [169]
169,79 unequal: No Solution
No 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: 79:[90, 39], Operations: ['34+25=59', '59-20=39']
Exploring Operation: 90*39=3510, Resulting Numbers: [3510]
3510,79 unequal: No Solution
Exploring Operation: 90+39=129, Resulting Numbers: [129]
129,79 unequal: No Solution
Exploring Operation: 90-39=51, Resulting Numbers: [51]
51,79 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: 79:[25, 90, 54], Operations: ['34+20=54']
Exploring Operation: 54-25=29, Resulting Numbers: [90, 29]
Generated Node #0,1,0: 79:[90, 29] Operation: 54-25=29
Exploring Operation: 25+90=115, Resulting Numbers: [54, 115]
Generated Node #0,1,1: 79:[54, 115] Operation: 25+90=115
Exploring Operation: 25+54=79, Resulting Numbers: [90, 79]
Generated Node #0,1,2: 79:[90, 79] Operation: 25+54=79
Exploring Operation: 90-25=65, Resulting Numbers: [54, 65]
Generated Node #0,1,3: 79:[54, 65] Operation: 90-25=65
Moving to Node #0,1,2
Current State: 79:[90, 79], Operations: ['34+20=54', '25+54=79']
Exploring Operation: 90*79=7110, Resulting Numbers: [7110]
7110,79 unequal: No Solution
Exploring Operation: 90+79=169, Resulting Numbers: [169]
169,79 unequal: No Solution
Exploring Operation: 90-79=11, Resulting Numbers: [11]
11,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[54, 65], Operations: ['34+20=54', '90-25=65']
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,79 unequal: No Solution
Exploring Operation: 54*65=3510, Resulting Numbers: [3510]
3510,79 unequal: No Solution
Exploring Operation: 54+65=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[54, 115], Operations: ['34+20=54', '25+90=115']
Exploring Operation: 54+115=169, Resulting Numbers: [169]
169,79 unequal: No Solution
Exploring Operation: 54*115=6210, Resulting Numbers: [6210]
6210,79 unequal: No Solution
Exploring Operation: 115-54=61, Resulting Numbers: [61]
61,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[90, 29], Operations: ['34+20=54', '54-25=29']
Exploring Operation: 90*29=2610, Resulting Numbers: [2610]
2610,79 unequal: No Solution
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,79 unequal: No Solution
Exploring Operation: 90+29=119, Resulting Numbers: [119]
119,79 unequal: No Solution
No 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: 79:[34, 90, 45], Operations: ['20+25=45']
Exploring Operation: 34+45=79, Resulting Numbers: [90, 79]
Generated Node #0,3,0: 79:[90, 79] Operation: 34+45=79
Exploring Operation: 90-34=56, Resulting Numbers: [45, 56]
Generated Node #0,3,1: 79:[45, 56] Operation: 90-34=56
Exploring Operation: 45-34=11, Resulting Numbers: [90, 11]
Generated Node #0,3,2: 79:[90, 11] Operation: 45-34=11
Exploring Operation: 34+90=124, Resulting Numbers: [45, 124]
Generated Node #0,3,3: 79:[45, 124] Operation: 34+90=124
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 79:[90, 79], Operations: ['20+25=45', '34+45=79']
Exploring Operation: 90+79=169, Resulting Numbers: [169]
169,79 unequal: No Solution
Exploring Operation: 90*79=7110, Resulting Numbers: [7110]
7110,79 unequal: No Solution
Exploring Operation: 90-79=11, Resulting Numbers: [11]
11,79 unequal: No Solution
No 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: 79:[45, 56], Operations: ['20+25=45', '90-34=56']
Exploring Operation: 45*56=2520, Resulting Numbers: [2520]
2520,79 unequal: No Solution
Exploring Operation: 45+56=101, Resulting Numbers: [101]
101,79 unequal: No Solution
Exploring Operation: 56-45=11, Resulting Numbers: [11]
11,79 unequal: No Solution
No 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: 79:[90, 11], Operations: ['20+25=45', '45-34=11']
Exploring Operation: 90*11=990, Resulting Numbers: [990]
990,79 unequal: No Solution
Exploring Operation: 90+11=101, Resulting Numbers: [101]
101,79 unequal: No Solution
Exploring Operation: 90-11=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[34, 20, 25, 90], Operations: []
Exploring Operation: 20+25=45, Resulting Numbers: [34, 90, 45]
Generated Node #0,3: 79:[34, 90, 45] Operation: 20+25=45
Moving to Node #0,3
Current State: 79:[34, 90, 45], Operations: ['20+25=45']
Exploring Operation: 45-34=11, Resulting Numbers: [90, 11]
Generated Node #0,3,2: 79:[90, 11] Operation: 45-34=11
Moving to Node #0,3,2
Current State: 79:[90, 11], Operations: ['20+25=45', '45-34=11']
Exploring Operation: 90-11=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.953993 | hs_4 | sum_heuristic |
[
32,
3,
55,
8
] | 53 | [
"55+8=63",
"63/3=21",
"32+21=53"
] | Current State: 53:[32, 3, 55, 8], Operations: []
Exploring Operation: 55+8=63, Resulting Numbers: [32, 3, 63]
Generated Node #2: [32, 3, 63] from Operation: 55+8=63
Current State: 53:[32, 3, 63], Operations: ['55+8=63']
Exploring Operation: 63/3=21, Resulting Numbers: [32, 21]
Generated Node #3: [32, 21] from Operation: 63/3=21
Current State: 53:[32, 21], Operations: ['55+8=63', '63/3=21']
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[32, 3, 55, 8], Operations: []
Exploring Operation: 32+3=35, Resulting Numbers: [55, 8, 35]
Generated Node #0,0: 53:[55, 8, 35] Operation: 32+3=35
Exploring Operation: 3*8=24, Resulting Numbers: [32, 55, 24]
Generated Node #0,1: 53:[32, 55, 24] Operation: 3*8=24
Exploring Operation: 32+8=40, Resulting Numbers: [3, 55, 40]
Generated Node #0,2: 53:[3, 55, 40] Operation: 32+8=40
Exploring Operation: 3+8=11, Resulting Numbers: [32, 55, 11]
Generated Node #0,3: 53:[32, 55, 11] Operation: 3+8=11
Moving to Node #0,1
Current State: 53:[32, 55, 24], Operations: ['3*8=24']
Exploring Operation: 55+24=79, Resulting Numbers: [32, 79]
Generated Node #0,1,0: 53:[32, 79] Operation: 55+24=79
Exploring Operation: 55-24=31, Resulting Numbers: [32, 31]
Generated Node #0,1,1: 53:[32, 31] Operation: 55-24=31
Exploring Operation: 32-24=8, Resulting Numbers: [55, 8]
Generated Node #0,1,2: 53:[55, 8] Operation: 32-24=8
Exploring Operation: 32+24=56, Resulting Numbers: [55, 56]
Generated Node #0,1,3: 53:[55, 56] Operation: 32+24=56
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 53:[55, 56], Operations: ['3*8=24', '32+24=56']
Exploring Operation: 55*56=3080, Resulting Numbers: [3080]
3080,53 unequal: No Solution
Exploring Operation: 56-55=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 55+56=111, Resulting Numbers: [111]
111,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[32, 31], Operations: ['3*8=24', '55-24=31']
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 32*31=992, Resulting Numbers: [992]
992,53 unequal: No Solution
Exploring Operation: 32+31=63, Resulting Numbers: [63]
63,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[32, 79], Operations: ['3*8=24', '55+24=79']
Exploring Operation: 32+79=111, Resulting Numbers: [111]
111,53 unequal: No Solution
Exploring Operation: 32*79=2528, Resulting Numbers: [2528]
2528,53 unequal: No Solution
Exploring Operation: 79-32=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 #0,1,2
Current State: 53:[55, 8], Operations: ['3*8=24', '32-24=8']
Exploring Operation: 55*8=440, Resulting Numbers: [440]
440,53 unequal: No Solution
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,53 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,53 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: 53:[3, 55, 40], Operations: ['32+8=40']
Exploring Operation: 3+40=43, Resulting Numbers: [55, 43]
Generated Node #0,2,0: 53:[55, 43] Operation: 3+40=43
Exploring Operation: 3+55=58, Resulting Numbers: [40, 58]
Generated Node #0,2,1: 53:[40, 58] Operation: 3+55=58
Exploring Operation: 55-3=52, Resulting Numbers: [40, 52]
Generated Node #0,2,2: 53:[40, 52] Operation: 55-3=52
Exploring Operation: 40-3=37, Resulting Numbers: [55, 37]
Generated Node #0,2,3: 53:[55, 37] Operation: 40-3=37
Moving to Node #0,0
Current State: 53:[55, 8, 35], Operations: ['32+3=35']
Exploring Operation: 35-8=27, Resulting Numbers: [55, 27]
Generated Node #0,0,0: 53:[55, 27] Operation: 35-8=27
Exploring Operation: 55+8=63, Resulting Numbers: [35, 63]
Generated Node #0,0,1: 53:[35, 63] Operation: 55+8=63
Exploring Operation: 8+35=43, Resulting Numbers: [55, 43]
Generated Node #0,0,2: 53:[55, 43] Operation: 8+35=43
Exploring Operation: 55-8=47, Resulting Numbers: [35, 47]
Generated Node #0,0,3: 53:[35, 47] Operation: 55-8=47
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[55, 43], Operations: ['32+3=35', '8+35=43']
Exploring Operation: 55+43=98, Resulting Numbers: [98]
98,53 unequal: No Solution
Exploring Operation: 55*43=2365, Resulting Numbers: [2365]
2365,53 unequal: No Solution
Exploring Operation: 55-43=12, Resulting Numbers: [12]
12,53 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 #0,0,3
Current State: 53:[35, 47], Operations: ['32+3=35', '55-8=47']
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,53 unequal: No Solution
Exploring Operation: 35+47=82, Resulting Numbers: [82]
82,53 unequal: No Solution
Exploring Operation: 35*47=1645, Resulting Numbers: [1645]
1645,53 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 #0,0,0
Current State: 53:[55, 27], Operations: ['32+3=35', '35-8=27']
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,53 unequal: No Solution
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,53 unequal: No Solution
Exploring Operation: 55*27=1485, Resulting Numbers: [1485]
1485,53 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:[35, 63], Operations: ['32+3=35', '55+8=63']
Exploring Operation: 35+63=98, Resulting Numbers: [98]
98,53 unequal: No Solution
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,53 unequal: No Solution
Exploring Operation: 35*63=2205, Resulting Numbers: [2205]
2205,53 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: 53:[32, 55, 11], Operations: ['3+8=11']
Exploring Operation: 55-11=44, Resulting Numbers: [32, 44]
Generated Node #0,3,0: 53:[32, 44] Operation: 55-11=44
Exploring Operation: 32-11=21, Resulting Numbers: [55, 21]
Generated Node #0,3,1: 53:[55, 21] Operation: 32-11=21
Exploring Operation: 32+11=43, Resulting Numbers: [55, 43]
Generated Node #0,3,2: 53:[55, 43] Operation: 32+11=43
Exploring Operation: 55+11=66, Resulting Numbers: [32, 66]
Generated Node #0,3,3: 53:[32, 66] Operation: 55+11=66
Moving to Node #0,2,0
Current State: 53:[55, 43], Operations: ['32+8=40', '3+40=43']
Exploring Operation: 55*43=2365, Resulting Numbers: [2365]
2365,53 unequal: No Solution
Exploring Operation: 55+43=98, Resulting Numbers: [98]
98,53 unequal: No Solution
Exploring Operation: 55-43=12, Resulting Numbers: [12]
12,53 unequal: No Solution
Moving to Node #0,3,2
Current State: 53:[55, 43], Operations: ['3+8=11', '32+11=43']
Exploring Operation: 55-43=12, Resulting Numbers: [12]
12,53 unequal: No Solution
Exploring Operation: 55*43=2365, Resulting Numbers: [2365]
2365,53 unequal: No Solution
Exploring Operation: 55+43=98, Resulting Numbers: [98]
98,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[40, 52], Operations: ['32+8=40', '55-3=52']
Exploring Operation: 40*52=2080, Resulting Numbers: [2080]
2080,53 unequal: No Solution
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,53 unequal: No Solution
Exploring Operation: 40+52=92, Resulting Numbers: [92]
92,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[40, 58], Operations: ['32+8=40', '3+55=58']
Exploring Operation: 40+58=98, Resulting Numbers: [98]
98,53 unequal: No Solution
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 40*58=2320, Resulting Numbers: [2320]
2320,53 unequal: No Solution
Moving to Node #0,2,3
Current State: 53:[55, 37], Operations: ['32+8=40', '40-3=37']
Exploring Operation: 55+37=92, Resulting Numbers: [92]
92,53 unequal: No Solution
Exploring Operation: 55-37=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 55*37=2035, Resulting Numbers: [2035]
2035,53 unequal: No Solution
Moving to Node #0,3,0
Current State: 53:[32, 44], Operations: ['3+8=11', '55-11=44']
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,53 unequal: No Solution
Exploring Operation: 32+44=76, Resulting Numbers: [76]
76,53 unequal: No Solution
Exploring Operation: 32*44=1408, Resulting Numbers: [1408]
1408,53 unequal: No Solution
Moving to Node #0,3,1
Current State: 53:[55, 21], Operations: ['3+8=11', '32-11=21']
Exploring Operation: 55-21=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 55*21=1155, Resulting Numbers: [1155]
1155,53 unequal: No Solution
Exploring Operation: 55+21=76, Resulting Numbers: [76]
76,53 unequal: No Solution
Moving to Node #0,3,3
Current State: 53:[32, 66], Operations: ['3+8=11', '55+11=66']
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 32+66=98, Resulting Numbers: [98]
98,53 unequal: No Solution
Exploring Operation: 32*66=2112, Resulting Numbers: [2112]
2112,53 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
34,
91,
9,
10
] | 58 | [
"91-34=57",
"10-9=1",
"57+1=58"
] | Current State: 58:[34, 91, 9, 10], Operations: []
Exploring Operation: 91-34=57, Resulting Numbers: [9, 10, 57]
Generated Node #2: [9, 10, 57] from Operation: 91-34=57
Current State: 58:[9, 10, 57], Operations: ['91-34=57']
Exploring Operation: 10-9=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 10-9=1
Current State: 58:[57, 1], Operations: ['91-34=57', '10-9=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[34, 91, 9, 10], Operations: []
Exploring Operation: 10-9=1, Resulting Numbers: [34, 91, 1]
Generated Node #0,0: 58:[34, 91, 1] Operation: 10-9=1
Exploring Operation: 34-9=25, Resulting Numbers: [91, 10, 25]
Generated Node #0,1: 58:[91, 10, 25] Operation: 34-9=25
Exploring Operation: 91-10=81, Resulting Numbers: [34, 9, 81]
Generated Node #0,2: 58:[34, 9, 81] Operation: 91-10=81
Exploring Operation: 91-34=57, Resulting Numbers: [9, 10, 57]
Generated Node #0,3: 58:[9, 10, 57] Operation: 91-34=57
Exploring Operation: 91-9=82, Resulting Numbers: [34, 10, 82]
Generated Node #0,4: 58:[34, 10, 82] Operation: 91-9=82
Moving to Node #0,3
Current State: 58:[9, 10, 57], Operations: ['91-34=57']
Exploring Operation: 9+10=19, Resulting Numbers: [57, 19]
Generated Node #0,3,0: 58:[57, 19] Operation: 9+10=19
Exploring Operation: 10-9=1, Resulting Numbers: [57, 1]
Generated Node #0,3,1: 58:[57, 1] Operation: 10-9=1
Exploring Operation: 10+57=67, Resulting Numbers: [9, 67]
Generated Node #0,3,2: 58:[9, 67] Operation: 10+57=67
Exploring Operation: 57-9=48, Resulting Numbers: [10, 48]
Generated Node #0,3,3: 58:[10, 48] Operation: 57-9=48
Exploring Operation: 9+57=66, Resulting Numbers: [10, 66]
Generated Node #0,3,4: 58:[10, 66] Operation: 9+57=66
Moving to Node #0,2
Current State: 58:[34, 9, 81], Operations: ['91-10=81']
Exploring Operation: 34+9=43, Resulting Numbers: [81, 43]
Generated Node #0,2,0: 58:[81, 43] Operation: 34+9=43
Exploring Operation: 34-9=25, Resulting Numbers: [81, 25]
Generated Node #0,2,1: 58:[81, 25] Operation: 34-9=25
Exploring Operation: 81-9=72, Resulting Numbers: [34, 72]
Generated Node #0,2,2: 58:[34, 72] Operation: 81-9=72
Exploring Operation: 81/9=9, Resulting Numbers: [34, 9]
Generated Node #0,2,3: 58:[34, 9] Operation: 81/9=9
Exploring Operation: 81-34=47, Resulting Numbers: [9, 47]
Generated Node #0,2,4: 58:[9, 47] Operation: 81-34=47
Moving to Node #0,4
Current State: 58:[34, 10, 82], Operations: ['91-9=82']
Exploring Operation: 82-10=72, Resulting Numbers: [34, 72]
Generated Node #0,4,0: 58:[34, 72] Operation: 82-10=72
Exploring Operation: 10+82=92, Resulting Numbers: [34, 92]
Generated Node #0,4,1: 58:[34, 92] Operation: 10+82=92
Exploring Operation: 34+10=44, Resulting Numbers: [82, 44]
Generated Node #0,4,2: 58:[82, 44] Operation: 34+10=44
Exploring Operation: 34-10=24, Resulting Numbers: [82, 24]
Generated Node #0,4,3: 58:[82, 24] Operation: 34-10=24
Exploring Operation: 82-34=48, Resulting Numbers: [10, 48]
Generated Node #0,4,4: 58:[10, 48] Operation: 82-34=48
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 58:[10, 48], Operations: ['91-9=82', '82-34=48']
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,58 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[34, 91, 9, 10], Operations: []
Exploring Operation: 91-9=82, Resulting Numbers: [34, 10, 82]
Generated Node #0,4: 58:[34, 10, 82] Operation: 91-9=82
Moving to Node #0,4
Current State: 58:[34, 10, 82], Operations: ['91-9=82']
Exploring Operation: 82-34=48, Resulting Numbers: [10, 48]
Generated Node #0,4,4: 58:[10, 48] Operation: 82-34=48
Moving to Node #0,4,4
Current State: 58:[10, 48], Operations: ['91-9=82', '82-34=48']
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | mult_heuristic |
[
3,
75,
24,
80
] | 22 | [
"3+75=78",
"80-24=56",
"78-56=22"
] | Current State: 22:[3, 75, 24, 80], Operations: []
Exploring Operation: 3+75=78, Resulting Numbers: [24, 80, 78]
Generated Node #2: [24, 80, 78] from Operation: 3+75=78
Current State: 22:[24, 80, 78], Operations: ['3+75=78']
Exploring Operation: 80-24=56, Resulting Numbers: [78, 56]
Generated Node #3: [78, 56] from Operation: 80-24=56
Current State: 22:[78, 56], Operations: ['3+75=78', '80-24=56']
Exploring Operation: 78-56=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[3, 75, 24, 80], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [3, 24, 5]
Generated Node #0,0: 22:[3, 24, 5] Operation: 80-75=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[3, 24, 5], Operations: ['80-75=5']
Exploring Operation: 5-3=2, Resulting Numbers: [24, 2]
Generated Node #0,0,0: 22:[24, 2] Operation: 5-3=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[24, 2], Operations: ['80-75=5', '5-3=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[3, 75, 24, 80], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [3, 24, 5]
Generated Node #0,0: 22:[3, 24, 5] Operation: 80-75=5
Moving to Node #0,0
Current State: 22:[3, 24, 5], Operations: ['80-75=5']
Exploring Operation: 5-3=2, Resulting Numbers: [24, 2]
Generated Node #0,0,0: 22:[24, 2] Operation: 5-3=2
Moving to Node #0,0,0
Current State: 22:[24, 2], Operations: ['80-75=5', '5-3=2']
Exploring Operation: 24-2=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 |
[
72,
65,
20,
2
] | 70 | [
"72-65=7",
"20/2=10",
"7*10=70"
] | Current State: 70:[72, 65, 20, 2], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [20, 2, 7]
Generated Node #2: [20, 2, 7] from Operation: 72-65=7
Current State: 70:[20, 2, 7], Operations: ['72-65=7']
Exploring Operation: 20/2=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 20/2=10
Current State: 70:[7, 10], Operations: ['72-65=7', '20/2=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[72, 65, 20, 2], Operations: []
Exploring Operation: 20/2=10, Resulting Numbers: [72, 65, 10]
Generated Node #0,0: 70:[72, 65, 10] Operation: 20/2=10
Exploring Operation: 72-2=70, Resulting Numbers: [65, 20, 70]
Generated Node #0,1: 70:[65, 20, 70] Operation: 72-2=70
Exploring Operation: 72-65=7, Resulting Numbers: [20, 2, 7]
Generated Node #0,2: 70:[20, 2, 7] Operation: 72-65=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[20, 2, 7], Operations: ['72-65=7']
Exploring Operation: 20-2=18, Resulting Numbers: [7, 18]
Generated Node #0,2,0: 70:[7, 18] Operation: 20-2=18
Exploring Operation: 20/2=10, Resulting Numbers: [7, 10]
Generated Node #0,2,1: 70:[7, 10] Operation: 20/2=10
Exploring Operation: 20-7=13, Resulting Numbers: [2, 13]
Generated Node #0,2,2: 70:[2, 13] Operation: 20-7=13
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 70:[7, 10], Operations: ['72-65=7', '20/2=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,70 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,70 unequal: No Solution
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[72, 65, 20, 2], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [20, 2, 7]
Generated Node #0,2: 70:[20, 2, 7] Operation: 72-65=7
Moving to Node #0,2
Current State: 70:[20, 2, 7], Operations: ['72-65=7']
Exploring Operation: 20/2=10, Resulting Numbers: [7, 10]
Generated Node #0,2,1: 70:[7, 10] Operation: 20/2=10
Moving to Node #0,2,1
Current State: 70:[7, 10], Operations: ['72-65=7', '20/2=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
10,
71,
80,
20
] | 81 | [
"80+20=100",
"100/10=10",
"71+10=81"
] | Current State: 81:[10, 71, 80, 20], Operations: []
Exploring Operation: 80+20=100, Resulting Numbers: [10, 71, 100]
Generated Node #2: [10, 71, 100] from Operation: 80+20=100
Current State: 81:[10, 71, 100], Operations: ['80+20=100']
Exploring Operation: 100/10=10, Resulting Numbers: [71, 10]
Generated Node #3: [71, 10] from Operation: 100/10=10
Current State: 81:[71, 10], Operations: ['80+20=100', '100/10=10']
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[10, 71, 80, 20], Operations: []
Exploring Operation: 10+71=81, Resulting Numbers: [80, 20, 81]
Generated Node #0,0: 81:[80, 20, 81] Operation: 10+71=81
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[80, 20, 81], Operations: ['10+71=81']
Exploring Operation: 80/20=4, Resulting Numbers: [81, 4]
Generated Node #0,0,0: 81:[81, 4] Operation: 80/20=4
Moving to Node #0,0,0
Current State: 81:[81, 4], Operations: ['10+71=81', '80/20=4']
Exploring Operation: 81+4=85, Resulting Numbers: [85]
85,81 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 |
[
98,
27,
81,
5
] | 56 | [
"98+27=125",
"125/5=25",
"81-25=56"
] | Current State: 56:[98, 27, 81, 5], Operations: []
Exploring Operation: 98+27=125, Resulting Numbers: [81, 5, 125]
Generated Node #2: [81, 5, 125] from Operation: 98+27=125
Current State: 56:[81, 5, 125], Operations: ['98+27=125']
Exploring Operation: 125/5=25, Resulting Numbers: [81, 25]
Generated Node #3: [81, 25] from Operation: 125/5=25
Current State: 56:[81, 25], Operations: ['98+27=125', '125/5=25']
Exploring Operation: 81-25=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[98, 27, 81, 5], Operations: []
Exploring Operation: 98-81=17, Resulting Numbers: [27, 5, 17]
Generated Node #0,0: 56:[27, 5, 17] Operation: 98-81=17
Exploring Operation: 98-27=71, Resulting Numbers: [81, 5, 71]
Generated Node #0,1: 56:[81, 5, 71] Operation: 98-27=71
Exploring Operation: 81-27=54, Resulting Numbers: [98, 5, 54]
Generated Node #0,2: 56:[98, 5, 54] Operation: 81-27=54
Exploring Operation: 81/27=3, Resulting Numbers: [98, 5, 3]
Generated Node #0,3: 56:[98, 5, 3] Operation: 81/27=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[27, 5, 17], Operations: ['98-81=17']
Exploring Operation: 17-5=12, Resulting Numbers: [27, 12]
Generated Node #0,0,0: 56:[27, 12] Operation: 17-5=12
Exploring Operation: 27+5=32, Resulting Numbers: [17, 32]
Generated Node #0,0,1: 56:[17, 32] Operation: 27+5=32
Exploring Operation: 5+17=22, Resulting Numbers: [27, 22]
Generated Node #0,0,2: 56:[27, 22] Operation: 5+17=22
Exploring Operation: 27-17=10, Resulting Numbers: [5, 10]
Generated Node #0,0,3: 56:[5, 10] Operation: 27-17=10
Moving to Node #0,0,0
Current State: 56:[27, 12], Operations: ['98-81=17', '17-5=12']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 27+12=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 27*12=324, Resulting Numbers: [324]
324,56 unequal: No Solution
Moving to Node #0,0,3
Current State: 56:[5, 10], Operations: ['98-81=17', '27-17=10']
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,56 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[27, 22], Operations: ['98-81=17', '5+17=22']
Exploring Operation: 27*22=594, Resulting Numbers: [594]
594,56 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[17, 32], Operations: ['98-81=17', '27+5=32']
Exploring Operation: 17*32=544, Resulting Numbers: [544]
544,56 unequal: No Solution
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[81, 5, 71], Operations: ['98-27=71']
Exploring Operation: 81+5=86, Resulting Numbers: [71, 86]
Generated Node #0,1,0: 56:[71, 86] Operation: 81+5=86
Exploring Operation: 81-5=76, Resulting Numbers: [71, 76]
Generated Node #0,1,1: 56:[71, 76] Operation: 81-5=76
Exploring Operation: 81-71=10, Resulting Numbers: [5, 10]
Generated Node #0,1,2: 56:[5, 10] Operation: 81-71=10
Exploring Operation: 71-5=66, Resulting Numbers: [81, 66]
Generated Node #0,1,3: 56:[81, 66] Operation: 71-5=66
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 56:[5, 10], Operations: ['98-27=71', '81-71=10']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,56 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 56:[71, 76], Operations: ['98-27=71', '81-5=76']
Exploring Operation: 71*76=5396, Resulting Numbers: [5396]
5396,56 unequal: No Solution
Exploring Operation: 76-71=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 71+76=147, Resulting Numbers: [147]
147,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 56:[81, 66], Operations: ['98-27=71', '71-5=66']
Exploring Operation: 81*66=5346, Resulting Numbers: [5346]
5346,56 unequal: No Solution
Exploring Operation: 81-66=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 81+66=147, Resulting Numbers: [147]
147,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 56:[71, 86], Operations: ['98-27=71', '81+5=86']
Exploring Operation: 86-71=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 71*86=6106, Resulting Numbers: [6106]
6106,56 unequal: No Solution
Exploring Operation: 71+86=157, Resulting Numbers: [157]
157,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[98, 5, 3], Operations: ['81/27=3']
Exploring Operation: 5+3=8, Resulting Numbers: [98, 8]
Generated Node #0,3,0: 56:[98, 8] Operation: 5+3=8
Exploring Operation: 5-3=2, Resulting Numbers: [98, 2]
Generated Node #0,3,1: 56:[98, 2] Operation: 5-3=2
Exploring Operation: 98-3=95, Resulting Numbers: [5, 95]
Generated Node #0,3,2: 56:[5, 95] Operation: 98-3=95
Exploring Operation: 98-5=93, Resulting Numbers: [3, 93]
Generated Node #0,3,3: 56:[3, 93] Operation: 98-5=93
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 56:[3, 93], Operations: ['81/27=3', '98-5=93']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,56 unequal: No Solution
Exploring Operation: 3+93=96, Resulting Numbers: [96]
96,56 unequal: No Solution
Exploring Operation: 3*93=279, Resulting Numbers: [279]
279,56 unequal: No Solution
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 56:[5, 95], Operations: ['81/27=3', '98-3=95']
Exploring Operation: 5*95=475, Resulting Numbers: [475]
475,56 unequal: No Solution
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,56 unequal: No Solution
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 5+95=100, Resulting Numbers: [100]
100,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 56:[98, 8], Operations: ['81/27=3', '5+3=8']
Exploring Operation: 98-8=90, Resulting Numbers: [90]
90,56 unequal: No Solution
Exploring Operation: 98*8=784, Resulting Numbers: [784]
784,56 unequal: No Solution
Exploring Operation: 98+8=106, Resulting Numbers: [106]
106,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 56:[98, 2], Operations: ['81/27=3', '5-3=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,56 unequal: No Solution
Exploring Operation: 98*2=196, Resulting Numbers: [196]
196,56 unequal: No Solution
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[98, 5, 54], Operations: ['81-27=54']
Exploring Operation: 5+54=59, Resulting Numbers: [98, 59]
Generated Node #0,2,0: 56:[98, 59] Operation: 5+54=59
Exploring Operation: 98-5=93, Resulting Numbers: [54, 93]
Generated Node #0,2,1: 56:[54, 93] Operation: 98-5=93
Exploring Operation: 98-54=44, Resulting Numbers: [5, 44]
Generated Node #0,2,2: 56:[5, 44] Operation: 98-54=44
Exploring Operation: 98+5=103, Resulting Numbers: [54, 103]
Generated Node #0,2,3: 56:[54, 103] Operation: 98+5=103
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 56:[5, 44], Operations: ['81-27=54', '98-54=44']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 5*44=220, Resulting Numbers: [220]
220,56 unequal: No Solution
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 56:[54, 93], Operations: ['81-27=54', '98-5=93']
Exploring Operation: 54*93=5022, Resulting Numbers: [5022]
5022,56 unequal: No Solution
Exploring Operation: 93-54=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 54+93=147, Resulting Numbers: [147]
147,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 56:[98, 59], Operations: ['81-27=54', '5+54=59']
Exploring Operation: 98-59=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 98*59=5782, Resulting Numbers: [5782]
5782,56 unequal: No Solution
Exploring Operation: 98+59=157, Resulting Numbers: [157]
157,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 56:[54, 103], Operations: ['81-27=54', '98+5=103']
Exploring Operation: 103-54=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 54*103=5562, Resulting Numbers: [5562]
5562,56 unequal: No Solution
Exploring Operation: 54+103=157, Resulting Numbers: [157]
157,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
5,
90,
21,
29
] | 77 | [
"90-5=85",
"29-21=8",
"85-8=77"
] | Current State: 77:[5, 90, 21, 29], Operations: []
Exploring Operation: 90-5=85, Resulting Numbers: [21, 29, 85]
Generated Node #2: [21, 29, 85] from Operation: 90-5=85
Current State: 77:[21, 29, 85], Operations: ['90-5=85']
Exploring Operation: 29-21=8, Resulting Numbers: [85, 8]
Generated Node #3: [85, 8] from Operation: 29-21=8
Current State: 77:[85, 8], Operations: ['90-5=85', '29-21=8']
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[5, 90, 21, 29], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [21, 29, 18]
Generated Node #0,0: 77:[21, 29, 18] Operation: 90/5=18
Exploring Operation: 90-21=69, Resulting Numbers: [5, 29, 69]
Generated Node #0,1: 77:[5, 29, 69] Operation: 90-21=69
Exploring Operation: 90-29=61, Resulting Numbers: [5, 21, 61]
Generated Node #0,2: 77:[5, 21, 61] Operation: 90-29=61
Exploring Operation: 29-21=8, Resulting Numbers: [5, 90, 8]
Generated Node #0,3: 77:[5, 90, 8] Operation: 29-21=8
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[5, 90, 8], Operations: ['29-21=8']
Exploring Operation: 5+8=13, Resulting Numbers: [90, 13]
Generated Node #0,3,0: 77:[90, 13] Operation: 5+8=13
Exploring Operation: 90-8=82, Resulting Numbers: [5, 82]
Generated Node #0,3,1: 77:[5, 82] Operation: 90-8=82
Exploring Operation: 90/5=18, Resulting Numbers: [8, 18]
Generated Node #0,3,2: 77:[8, 18] Operation: 90/5=18
Exploring Operation: 90-5=85, Resulting Numbers: [8, 85]
Generated Node #0,3,3: 77:[8, 85] Operation: 90-5=85
Moving to Node #0,3,1
Current State: 77:[5, 82], Operations: ['29-21=8', '90-8=82']
Exploring Operation: 5*82=410, Resulting Numbers: [410]
410,77 unequal: No Solution
Exploring Operation: 5+82=87, Resulting Numbers: [87]
87,77 unequal: No Solution
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[5, 90, 21, 29], Operations: []
Exploring Operation: 29-21=8, Resulting Numbers: [5, 90, 8]
Generated Node #0,3: 77:[5, 90, 8] Operation: 29-21=8
Moving to Node #0,3
Current State: 77:[5, 90, 8], Operations: ['29-21=8']
Exploring Operation: 90-8=82, Resulting Numbers: [5, 82]
Generated Node #0,3,1: 77:[5, 82] Operation: 90-8=82
Moving to Node #0,3,1
Current State: 77:[5, 82], Operations: ['29-21=8', '90-8=82']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
95,
50,
18,
28
] | 35 | [
"95-50=45",
"28-18=10",
"45-10=35"
] | Current State: 35:[95, 50, 18, 28], Operations: []
Exploring Operation: 95-50=45, Resulting Numbers: [18, 28, 45]
Generated Node #2: [18, 28, 45] from Operation: 95-50=45
Current State: 35:[18, 28, 45], Operations: ['95-50=45']
Exploring Operation: 28-18=10, Resulting Numbers: [45, 10]
Generated Node #3: [45, 10] from Operation: 28-18=10
Current State: 35:[45, 10], Operations: ['95-50=45', '28-18=10']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[95, 50, 18, 28], Operations: []
Exploring Operation: 95-50=45, Resulting Numbers: [18, 28, 45]
Generated Node #0,0: 35:[18, 28, 45] Operation: 95-50=45
Moving to Node #0,0
Current State: 35:[18, 28, 45], Operations: ['95-50=45']
Exploring Operation: 28-18=10, Resulting Numbers: [45, 10]
Generated Node #0,0,0: 35:[45, 10] Operation: 28-18=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[45, 10], Operations: ['95-50=45', '28-18=10']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[95, 50, 18, 28], Operations: []
Exploring Operation: 95-50=45, Resulting Numbers: [18, 28, 45]
Generated Node #0,0: 35:[18, 28, 45] Operation: 95-50=45
Moving to Node #0,0
Current State: 35:[18, 28, 45], Operations: ['95-50=45']
Exploring Operation: 28-18=10, Resulting Numbers: [45, 10]
Generated Node #0,0,0: 35:[45, 10] Operation: 28-18=10
Moving to Node #0,0,0
Current State: 35:[45, 10], Operations: ['95-50=45', '28-18=10']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
33,
22,
26,
18
] | 63 | [
"33+22=55",
"26-18=8",
"55+8=63"
] | Current State: 63:[33, 22, 26, 18], Operations: []
Exploring Operation: 33+22=55, Resulting Numbers: [26, 18, 55]
Generated Node #2: [26, 18, 55] from Operation: 33+22=55
Current State: 63:[26, 18, 55], Operations: ['33+22=55']
Exploring Operation: 26-18=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 26-18=8
Current State: 63:[55, 8], Operations: ['33+22=55', '26-18=8']
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[33, 22, 26, 18], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [22, 18, 7]
Generated Node #0,0: 63:[22, 18, 7] Operation: 33-26=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[22, 18, 7], Operations: ['33-26=7']
Exploring Operation: 22-18=4, Resulting Numbers: [7, 4]
Generated Node #0,0,0: 63:[7, 4] Operation: 22-18=4
Moving to Node #0,0,0
Current State: 63:[7, 4], Operations: ['33-26=7', '22-18=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,63 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 |
[
12,
24,
30,
19
] | 23 | [
"24-12=12",
"30-19=11",
"12+11=23"
] | Current State: 23:[12, 24, 30, 19], Operations: []
Exploring Operation: 24-12=12, Resulting Numbers: [30, 19, 12]
Generated Node #2: [30, 19, 12] from Operation: 24-12=12
Current State: 23:[30, 19, 12], Operations: ['24-12=12']
Exploring Operation: 30-19=11, Resulting Numbers: [12, 11]
Generated Node #3: [12, 11] from Operation: 30-19=11
Current State: 23:[12, 11], Operations: ['24-12=12', '30-19=11']
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[12, 24, 30, 19], Operations: []
Exploring Operation: 30-12=18, Resulting Numbers: [24, 19, 18]
Generated Node #0,0: 23:[24, 19, 18] Operation: 30-12=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[24, 19, 18], Operations: ['30-12=18']
Exploring Operation: 19+18=37, Resulting Numbers: [24, 37]
Generated Node #0,0,0: 23:[24, 37] Operation: 19+18=37
Moving to Node #0,0,0
Current State: 23:[24, 37], Operations: ['30-12=18', '19+18=37']
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
42,
51,
38,
48
] | 12 | [
"42-38=4",
"51-48=3",
"4*3=12"
] | Current State: 12:[42, 51, 38, 48], Operations: []
Exploring Operation: 42-38=4, Resulting Numbers: [51, 48, 4]
Generated Node #2: [51, 48, 4] from Operation: 42-38=4
Current State: 12:[51, 48, 4], Operations: ['42-38=4']
Exploring Operation: 51-48=3, Resulting Numbers: [4, 3]
Generated Node #3: [4, 3] from Operation: 51-48=3
Current State: 12:[4, 3], Operations: ['42-38=4', '51-48=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[42, 51, 38, 48], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [38, 48, 9]
Generated Node #0,0: 12:[38, 48, 9] Operation: 51-42=9
Exploring Operation: 51-48=3, Resulting Numbers: [42, 38, 3]
Generated Node #0,1: 12:[42, 38, 3] Operation: 51-48=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[42, 38, 3], Operations: ['51-48=3']
Exploring Operation: 42-38=4, Resulting Numbers: [3, 4]
Generated Node #0,1,0: 12:[3, 4] Operation: 42-38=4
Exploring Operation: 42/3=14, Resulting Numbers: [38, 14]
Generated Node #0,1,1: 12:[38, 14] Operation: 42/3=14
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 12:[3, 4], Operations: ['51-48=3', '42-38=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[42, 51, 38, 48], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [42, 38, 3]
Generated Node #0,1: 12:[42, 38, 3] Operation: 51-48=3
Moving to Node #0,1
Current State: 12:[42, 38, 3], Operations: ['51-48=3']
Exploring Operation: 42-38=4, Resulting Numbers: [3, 4]
Generated Node #0,1,0: 12:[3, 4] Operation: 42-38=4
Moving to Node #0,1,0
Current State: 12:[3, 4], Operations: ['51-48=3', '42-38=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
61,
36,
32,
24
] | 35 | [
"36-32=4",
"24*4=96",
"96-61=35"
] | Current State: 35:[61, 36, 32, 24], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [61, 24, 4]
Generated Node #2: [61, 24, 4] from Operation: 36-32=4
Current State: 35:[61, 24, 4], Operations: ['36-32=4']
Exploring Operation: 24*4=96, Resulting Numbers: [61, 96]
Generated Node #3: [61, 96] from Operation: 24*4=96
Current State: 35:[61, 96], Operations: ['36-32=4', '24*4=96']
Exploring Operation: 96-61=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[61, 36, 32, 24], Operations: []
Exploring Operation: 61-32=29, Resulting Numbers: [36, 24, 29]
Generated Node #0,0: 35:[36, 24, 29] Operation: 61-32=29
Exploring Operation: 36-24=12, Resulting Numbers: [61, 32, 12]
Generated Node #0,1: 35:[61, 32, 12] Operation: 36-24=12
Exploring Operation: 61-36=25, Resulting Numbers: [32, 24, 25]
Generated Node #0,2: 35:[32, 24, 25] Operation: 61-36=25
Exploring Operation: 61-24=37, Resulting Numbers: [36, 32, 37]
Generated Node #0,3: 35:[36, 32, 37] Operation: 61-24=37
Exploring Operation: 32-24=8, Resulting Numbers: [61, 36, 8]
Generated Node #0,4: 35:[61, 36, 8] Operation: 32-24=8
Start Sub Search at level 1: Moving to Node #0,3
Current State: 35:[36, 32, 37], Operations: ['61-24=37']
Exploring Operation: 36-32=4, Resulting Numbers: [37, 4]
Generated Node #0,3,0: 35:[37, 4] Operation: 36-32=4
Exploring Operation: 37-32=5, Resulting Numbers: [36, 5]
Generated Node #0,3,1: 35:[36, 5] Operation: 37-32=5
Exploring Operation: 32+37=69, Resulting Numbers: [36, 69]
Generated Node #0,3,2: 35:[36, 69] Operation: 32+37=69
Exploring Operation: 36+32=68, Resulting Numbers: [37, 68]
Generated Node #0,3,3: 35:[37, 68] Operation: 36+32=68
Exploring Operation: 37-36=1, Resulting Numbers: [32, 1]
Generated Node #0,3,4: 35:[32, 1] Operation: 37-36=1
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 35:[36, 5], Operations: ['61-24=37', '37-32=5']
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,35 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,35 unequal: No Solution
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 35:[37, 4], Operations: ['61-24=37', '36-32=4']
Exploring Operation: 37*4=148, Resulting Numbers: [148]
148,35 unequal: No Solution
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 35:[32, 1], Operations: ['61-24=37', '37-36=1']
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,35 unequal: No Solution
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,35 unequal: No Solution
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 35:[36, 69], Operations: ['61-24=37', '32+37=69']
Exploring Operation: 36+69=105, Resulting Numbers: [105]
105,35 unequal: No Solution
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,35 unequal: No Solution
Exploring Operation: 36*69=2484, Resulting Numbers: [2484]
2484,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 35:[37, 68], Operations: ['61-24=37', '36+32=68']
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,35 unequal: No Solution
Exploring Operation: 37*68=2516, Resulting Numbers: [2516]
2516,35 unequal: No Solution
Exploring Operation: 37+68=105, Resulting Numbers: [105]
105,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[36, 24, 29], Operations: ['61-32=29']
Exploring Operation: 36-24=12, Resulting Numbers: [29, 12]
Generated Node #0,0,0: 35:[29, 12] Operation: 36-24=12
Exploring Operation: 24+29=53, Resulting Numbers: [36, 53]
Generated Node #0,0,1: 35:[36, 53] Operation: 24+29=53
Exploring Operation: 36-29=7, Resulting Numbers: [24, 7]
Generated Node #0,0,2: 35:[24, 7] Operation: 36-29=7
Exploring Operation: 36+24=60, Resulting Numbers: [29, 60]
Generated Node #0,0,3: 35:[29, 60] Operation: 36+24=60
Exploring Operation: 29-24=5, Resulting Numbers: [36, 5]
Generated Node #0,0,4: 35:[36, 5] Operation: 29-24=5
Moving to Node #0,0,4
Current State: 35:[36, 5], Operations: ['61-32=29', '29-24=5']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,35 unequal: No Solution
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[24, 7], Operations: ['61-32=29', '36-29=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,35 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Exploring Operation: 24*7=168, Resulting Numbers: [168]
168,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[29, 12], Operations: ['61-32=29', '36-24=12']
Exploring Operation: 29*12=348, Resulting Numbers: [348]
348,35 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[36, 53], Operations: ['61-32=29', '24+29=53']
Exploring Operation: 36*53=1908, Resulting Numbers: [1908]
1908,35 unequal: No Solution
Exploring Operation: 53-36=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Exploring Operation: 36+53=89, Resulting Numbers: [89]
89,35 unequal: No Solution
Moving to Node #0,0,3
Current State: 35:[29, 60], Operations: ['61-32=29', '36+24=60']
Exploring Operation: 29*60=1740, Resulting Numbers: [1740]
1740,35 unequal: No Solution
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,35 unequal: No Solution
Exploring Operation: 29+60=89, Resulting Numbers: [89]
89,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[32, 24, 25], Operations: ['61-36=25']
Exploring Operation: 32-25=7, Resulting Numbers: [24, 7]
Generated Node #0,2,0: 35:[24, 7] Operation: 32-25=7
Exploring Operation: 25-24=1, Resulting Numbers: [32, 1]
Generated Node #0,2,1: 35:[32, 1] Operation: 25-24=1
Exploring Operation: 24+25=49, Resulting Numbers: [32, 49]
Generated Node #0,2,2: 35:[32, 49] Operation: 24+25=49
Exploring Operation: 32-24=8, Resulting Numbers: [25, 8]
Generated Node #0,2,3: 35:[25, 8] Operation: 32-24=8
Exploring Operation: 32+24=56, Resulting Numbers: [25, 56]
Generated Node #0,2,4: 35:[25, 56] Operation: 32+24=56
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 35:[32, 1], Operations: ['61-36=25', '25-24=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,35 unequal: No Solution
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,35 unequal: No Solution
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 35:[24, 7], Operations: ['61-36=25', '32-25=7']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Exploring Operation: 24*7=168, Resulting Numbers: [168]
168,35 unequal: No Solution
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 35:[25, 8], Operations: ['61-36=25', '32-24=8']
Exploring Operation: 25*8=200, Resulting Numbers: [200]
200,35 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Exploring Operation: 25+8=33, Resulting Numbers: [33]
33,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 35:[32, 49], Operations: ['61-36=25', '24+25=49']
Exploring Operation: 32*49=1568, Resulting Numbers: [1568]
1568,35 unequal: No Solution
Exploring Operation: 32+49=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 35:[25, 56], Operations: ['61-36=25', '32+24=56']
Exploring Operation: 25+56=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 25*56=1400, Resulting Numbers: [1400]
1400,35 unequal: No Solution
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 35:[61, 36, 8], Operations: ['32-24=8']
Exploring Operation: 36-8=28, Resulting Numbers: [61, 28]
Generated Node #0,4,0: 35:[61, 28] Operation: 36-8=28
Exploring Operation: 36+8=44, Resulting Numbers: [61, 44]
Generated Node #0,4,1: 35:[61, 44] Operation: 36+8=44
Exploring Operation: 61-36=25, Resulting Numbers: [8, 25]
Generated Node #0,4,2: 35:[8, 25] Operation: 61-36=25
Exploring Operation: 61+8=69, Resulting Numbers: [36, 69]
Generated Node #0,4,3: 35:[36, 69] Operation: 61+8=69
Exploring Operation: 61-8=53, Resulting Numbers: [36, 53]
Generated Node #0,4,4: 35:[36, 53] Operation: 61-8=53
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 35:[8, 25], Operations: ['32-24=8', '61-36=25']
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,35 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 35:[36, 53], Operations: ['32-24=8', '61-8=53']
Exploring Operation: 53-36=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Exploring Operation: 36*53=1908, Resulting Numbers: [1908]
1908,35 unequal: No Solution
Exploring Operation: 36+53=89, Resulting Numbers: [89]
89,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 35:[61, 28], Operations: ['32-24=8', '36-8=28']
Exploring Operation: 61*28=1708, Resulting Numbers: [1708]
1708,35 unequal: No Solution
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,35 unequal: No Solution
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 35:[61, 44], Operations: ['32-24=8', '36+8=44']
Exploring Operation: 61*44=2684, Resulting Numbers: [2684]
2684,35 unequal: No Solution
Exploring Operation: 61+44=105, Resulting Numbers: [105]
105,35 unequal: No Solution
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 35:[36, 69], Operations: ['32-24=8', '61+8=69']
Exploring Operation: 36+69=105, Resulting Numbers: [105]
105,35 unequal: No Solution
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,35 unequal: No Solution
Exploring Operation: 36*69=2484, Resulting Numbers: [2484]
2484,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[61, 32, 12], Operations: ['36-24=12']
Exploring Operation: 61-32=29, Resulting Numbers: [12, 29]
Generated Node #0,1,0: 35:[12, 29] Operation: 61-32=29
Exploring Operation: 61+12=73, Resulting Numbers: [32, 73]
Generated Node #0,1,1: 35:[32, 73] Operation: 61+12=73
Exploring Operation: 61-12=49, Resulting Numbers: [32, 49]
Generated Node #0,1,2: 35:[32, 49] Operation: 61-12=49
Exploring Operation: 32+12=44, Resulting Numbers: [61, 44]
Generated Node #0,1,3: 35:[61, 44] Operation: 32+12=44
Exploring Operation: 32-12=20, Resulting Numbers: [61, 20]
Generated Node #0,1,4: 35:[61, 20] Operation: 32-12=20
Moving to Node #0,1,0
Current State: 35:[12, 29], Operations: ['36-24=12', '61-32=29']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 12*29=348, Resulting Numbers: [348]
348,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[32, 49], Operations: ['36-24=12', '61-12=49']
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Exploring Operation: 32*49=1568, Resulting Numbers: [1568]
1568,35 unequal: No Solution
Exploring Operation: 32+49=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Moving to Node #0,1,3
Current State: 35:[61, 44], Operations: ['36-24=12', '32+12=44']
Exploring Operation: 61+44=105, Resulting Numbers: [105]
105,35 unequal: No Solution
Exploring Operation: 61*44=2684, Resulting Numbers: [2684]
2684,35 unequal: No Solution
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Moving to Node #0,1,4
Current State: 35:[61, 20], Operations: ['36-24=12', '32-12=20']
Exploring Operation: 61+20=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 61*20=1220, Resulting Numbers: [1220]
1220,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[32, 73], Operations: ['36-24=12', '61+12=73']
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 32+73=105, Resulting Numbers: [105]
105,35 unequal: No Solution
Exploring Operation: 32*73=2336, Resulting Numbers: [2336]
2336,35 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 |
[
31,
61,
92,
62
] | 62 | [
"31+61=92",
"92+62=154",
"154-92=62"
] | Current State: 62:[31, 61, 92, 62], Operations: []
Exploring Operation: 31+61=92, Resulting Numbers: [92, 62, 92]
Generated Node #2: [92, 62, 92] from Operation: 31+61=92
Current State: 62:[92, 62, 92], Operations: ['31+61=92']
Exploring Operation: 92+62=154, Resulting Numbers: [154]
154,62 equal: Goal Reached
Exploring Operation: 154-92=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[31, 61, 92, 62], Operations: []
Exploring Operation: 92-61=31, Resulting Numbers: [31, 62, 31]
Generated Node #0,0: 62:[31, 62, 31] Operation: 92-61=31
Exploring Operation: 92-31=61, Resulting Numbers: [61, 62, 61]
Generated Node #0,1: 62:[61, 62, 61] Operation: 92-31=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[31, 62, 31], Operations: ['92-61=31']
Exploring Operation: 62-31=31, Resulting Numbers: [31, 31]
Generated Node #0,0,0: 62:[31, 31] Operation: 62-31=31
Exploring Operation: 62/31=2, Resulting Numbers: [31, 2]
Generated Node #0,0,1: 62:[31, 2] Operation: 62/31=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[31, 31], Operations: ['92-61=31', '62-31=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[31, 61, 92, 62], Operations: []
Exploring Operation: 92-61=31, Resulting Numbers: [31, 62, 31]
Generated Node #0,0: 62:[31, 62, 31] Operation: 92-61=31
Moving to Node #0,0
Current State: 62:[31, 62, 31], Operations: ['92-61=31']
Exploring Operation: 62-31=31, Resulting Numbers: [31, 31]
Generated Node #0,0,0: 62:[31, 31] Operation: 62-31=31
Moving to Node #0,0,0
Current State: 62:[31, 31], Operations: ['92-61=31', '62-31=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
1,
65,
1,
3
] | 32 | [
"65-1=64",
"3-1=2",
"64/2=32"
] | Current State: 32:[1, 65, 1, 3], Operations: []
Exploring Operation: 65-1=64, Resulting Numbers: [3, 64]
Generated Node #2: [3, 64] from Operation: 65-1=64
Current State: 32:[3, 64], Operations: ['65-1=64']
Exploring Operation: 3-1=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 3-1=2
Current State: 32:[64, 2], Operations: ['65-1=64', '3-1=2']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[1, 65, 1, 3], Operations: []
Exploring Operation: 65-1=64, Resulting Numbers: [1, 3, 64]
Generated Node #0,0: 32:[1, 3, 64] Operation: 65-1=64
Exploring Operation: 65-3=62, Resulting Numbers: [1, 1, 62]
Generated Node #0,1: 32:[1, 1, 62] Operation: 65-3=62
Exploring Operation: 1+1=2, Resulting Numbers: [65, 3, 2]
Generated Node #0,2: 32:[65, 3, 2] Operation: 1+1=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[1, 1, 62], Operations: ['65-3=62']
Exploring Operation: 62-1=61, Resulting Numbers: [1, 61]
Generated Node #0,1,0: 32:[1, 61] Operation: 62-1=61
Exploring Operation: 62-1=61, Resulting Numbers: [1, 61]
Generated Node #0,1,1: 32:[1, 61] Operation: 62-1=61
Exploring Operation: 1+1=2, Resulting Numbers: [62, 2]
Generated Node #0,1,2: 32:[62, 2] Operation: 1+1=2
Moving to Node #0,1,0
Current State: 32:[1, 61], Operations: ['65-3=62', '62-1=61']
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,32 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[1, 61], Operations: ['65-3=62', '62-1=61']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,32 unequal: No Solution
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,32 unequal: No Solution
Moving to Node #0,1,2
Current State: 32:[62, 2], Operations: ['65-3=62', '1+1=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,32 unequal: No Solution
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,32 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[1, 3, 64], Operations: ['65-1=64']
Exploring Operation: 1+3=4, Resulting Numbers: [64, 4]
Generated Node #0,0,0: 32:[64, 4] Operation: 1+3=4
Exploring Operation: 64-3=61, Resulting Numbers: [1, 61]
Generated Node #0,0,1: 32:[1, 61] Operation: 64-3=61
Exploring Operation: 3-1=2, Resulting Numbers: [64, 2]
Generated Node #0,0,2: 32:[64, 2] Operation: 3-1=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 32:[1, 61], Operations: ['65-1=64', '64-3=61']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,32 unequal: No Solution
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[64, 4], Operations: ['65-1=64', '1+3=4']
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,32 unequal: No Solution
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 32:[64, 2], Operations: ['65-1=64', '3-1=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[1, 65, 1, 3], Operations: []
Exploring Operation: 65-1=64, Resulting Numbers: [1, 3, 64]
Generated Node #0,0: 32:[1, 3, 64] Operation: 65-1=64
Moving to Node #0,0
Current State: 32:[1, 3, 64], Operations: ['65-1=64']
Exploring Operation: 3-1=2, Resulting Numbers: [64, 2]
Generated Node #0,0,2: 32:[64, 2] Operation: 3-1=2
Moving to Node #0,0,2
Current State: 32:[64, 2], Operations: ['65-1=64', '3-1=2']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_3 | mult_heuristic |
[
56,
47,
50,
93
] | 60 | [
"56+47=103",
"93-50=43",
"103-43=60"
] | Current State: 60:[56, 47, 50, 93], Operations: []
Exploring Operation: 56+47=103, Resulting Numbers: [50, 93, 103]
Generated Node #2: [50, 93, 103] from Operation: 56+47=103
Current State: 60:[50, 93, 103], Operations: ['56+47=103']
Exploring Operation: 93-50=43, Resulting Numbers: [103, 43]
Generated Node #3: [103, 43] from Operation: 93-50=43
Current State: 60:[103, 43], Operations: ['56+47=103', '93-50=43']
Exploring Operation: 103-43=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[56, 47, 50, 93], Operations: []
Exploring Operation: 93-50=43, Resulting Numbers: [56, 47, 43]
Generated Node #0,0: 60:[56, 47, 43] Operation: 93-50=43
Exploring Operation: 93-47=46, Resulting Numbers: [56, 50, 46]
Generated Node #0,1: 60:[56, 50, 46] Operation: 93-47=46
Exploring Operation: 93-56=37, Resulting Numbers: [47, 50, 37]
Generated Node #0,2: 60:[47, 50, 37] Operation: 93-56=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[56, 50, 46], Operations: ['93-47=46']
Exploring Operation: 56-50=6, Resulting Numbers: [46, 6]
Generated Node #0,1,0: 60:[46, 6] Operation: 56-50=6
Exploring Operation: 50-46=4, Resulting Numbers: [56, 4]
Generated Node #0,1,1: 60:[56, 4] Operation: 50-46=4
Exploring Operation: 56-46=10, Resulting Numbers: [50, 10]
Generated Node #0,1,2: 60:[50, 10] Operation: 56-46=10
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[56, 4], Operations: ['93-47=46', '50-46=4']
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,60 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[56, 47, 50, 93], Operations: []
Exploring Operation: 93-47=46, Resulting Numbers: [56, 50, 46]
Generated Node #0,1: 60:[56, 50, 46] Operation: 93-47=46
Moving to Node #0,1
Current State: 60:[56, 50, 46], Operations: ['93-47=46']
Exploring Operation: 50-46=4, Resulting Numbers: [56, 4]
Generated Node #0,1,1: 60:[56, 4] Operation: 50-46=4
Moving to Node #0,1,1
Current State: 60:[56, 4], Operations: ['93-47=46', '50-46=4']
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
79,
70,
77,
9
] | 52 | [
"79-77=2",
"9*2=18",
"70-18=52"
] | Current State: 52:[79, 70, 77, 9], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [70, 9, 2]
Generated Node #2: [70, 9, 2] from Operation: 79-77=2
Current State: 52:[70, 9, 2], Operations: ['79-77=2']
Exploring Operation: 9*2=18, Resulting Numbers: [70, 18]
Generated Node #3: [70, 18] from Operation: 9*2=18
Current State: 52:[70, 18], Operations: ['79-77=2', '9*2=18']
Exploring Operation: 70-18=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[79, 70, 77, 9], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [70, 9, 2]
Generated Node #0,0: 52:[70, 9, 2] Operation: 79-77=2
Exploring Operation: 79-70=9, Resulting Numbers: [77, 9, 9]
Generated Node #0,1: 52:[77, 9, 9] Operation: 79-70=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[70, 9, 2], Operations: ['79-77=2']
Exploring Operation: 70/2=35, Resulting Numbers: [9, 35]
Generated Node #0,0,0: 52:[9, 35] Operation: 70/2=35
Exploring Operation: 70-9=61, Resulting Numbers: [2, 61]
Generated Node #0,0,1: 52:[2, 61] Operation: 70-9=61
Moving to Node #0,0,1
Current State: 52:[2, 61], Operations: ['79-77=2', '70-9=61']
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,52 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[9, 35], Operations: ['79-77=2', '70/2=35']
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[77, 9, 9], Operations: ['79-70=9']
Exploring Operation: 77-9=68, Resulting Numbers: [9, 68]
Generated Node #0,1,0: 52:[9, 68] Operation: 77-9=68
Exploring Operation: 77-9=68, Resulting Numbers: [9, 68]
Generated Node #0,1,1: 52:[9, 68] Operation: 77-9=68
Moving to Node #0,1,0
Current State: 52:[9, 68], Operations: ['79-70=9', '77-9=68']
Exploring Operation: 9+68=77, Resulting Numbers: [77]
77,52 unequal: No Solution
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[9, 68], Operations: ['79-70=9', '77-9=68']
Exploring Operation: 9+68=77, Resulting Numbers: [77]
77,52 unequal: No Solution
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,52 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 |
[
10,
13,
30,
9
] | 48 | [
"30/10=3",
"13*3=39",
"9+39=48"
] | Current State: 48:[10, 13, 30, 9], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [13, 9, 3]
Generated Node #2: [13, 9, 3] from Operation: 30/10=3
Current State: 48:[13, 9, 3], Operations: ['30/10=3']
Exploring Operation: 13*3=39, Resulting Numbers: [9, 39]
Generated Node #3: [9, 39] from Operation: 13*3=39
Current State: 48:[9, 39], Operations: ['30/10=3', '13*3=39']
Exploring Operation: 9+39=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[10, 13, 30, 9], Operations: []
Exploring Operation: 30-13=17, Resulting Numbers: [10, 9, 17]
Generated Node #0,0: 48:[10, 9, 17] Operation: 30-13=17
Exploring Operation: 30-10=20, Resulting Numbers: [13, 9, 20]
Generated Node #0,1: 48:[13, 9, 20] Operation: 30-10=20
Exploring Operation: 30/10=3, Resulting Numbers: [13, 9, 3]
Generated Node #0,2: 48:[13, 9, 3] Operation: 30/10=3
Moving to Node #0,2
Current State: 48:[13, 9, 3], Operations: ['30/10=3']
Exploring Operation: 13+3=16, Resulting Numbers: [9, 16]
Generated Node #0,2,0: 48:[9, 16] Operation: 13+3=16
Exploring Operation: 9+3=12, Resulting Numbers: [13, 12]
Generated Node #0,2,1: 48:[13, 12] Operation: 9+3=12
Exploring Operation: 13-9=4, Resulting Numbers: [3, 4]
Generated Node #0,2,2: 48:[3, 4] Operation: 13-9=4
Moving to Node #0,0
Current State: 48:[10, 9, 17], Operations: ['30-13=17']
Exploring Operation: 17-10=7, Resulting Numbers: [9, 7]
Generated Node #0,0,0: 48:[9, 7] Operation: 17-10=7
Exploring Operation: 17-9=8, Resulting Numbers: [10, 8]
Generated Node #0,0,1: 48:[10, 8] Operation: 17-9=8
Exploring Operation: 10-9=1, Resulting Numbers: [17, 1]
Generated Node #0,0,2: 48:[17, 1] Operation: 10-9=1
Moving to Node #0,1
Current State: 48:[13, 9, 20], Operations: ['30-10=20']
Exploring Operation: 20-13=7, Resulting Numbers: [9, 7]
Generated Node #0,1,0: 48:[9, 7] Operation: 20-13=7
Exploring Operation: 13-9=4, Resulting Numbers: [20, 4]
Generated Node #0,1,1: 48:[20, 4] Operation: 13-9=4
Exploring Operation: 20-9=11, Resulting Numbers: [13, 11]
Generated Node #0,1,2: 48:[13, 11] Operation: 20-9=11
Moving to Node #0,2,2
Current State: 48:[3, 4], Operations: ['30/10=3', '13-9=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Moving to Node #0,2,1
Current State: 48:[13, 12], Operations: ['30/10=3', '9+3=12']
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,48 unequal: No Solution
Moving to Node #0,2,0
Current State: 48:[9, 16], Operations: ['30/10=3', '13+3=16']
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,48 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[9, 7], Operations: ['30-10=20', '20-13=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[17, 1], Operations: ['30-13=17', '10-9=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[10, 8], Operations: ['30-13=17', '17-9=8']
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[9, 7], Operations: ['30-13=17', '17-10=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[13, 11], Operations: ['30-10=20', '20-9=11']
Exploring Operation: 13*11=143, Resulting Numbers: [143]
143,48 unequal: No Solution
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 13+11=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[20, 4], Operations: ['30-10=20', '13-9=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,48 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
14,
21,
39,
62
] | 49 | [
"14*62=868",
"21*39=819",
"868-819=49"
] | Current State: 49:[14, 21, 39, 62], Operations: []
Exploring Operation: 14*62=868, Resulting Numbers: [21, 39, 868]
Generated Node #2: [21, 39, 868] from Operation: 14*62=868
Current State: 49:[21, 39, 868], Operations: ['14*62=868']
Exploring Operation: 21*39=819, Resulting Numbers: [868, 819]
Generated Node #3: [868, 819] from Operation: 21*39=819
Current State: 49:[868, 819], Operations: ['14*62=868', '21*39=819']
Exploring Operation: 868-819=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[14, 21, 39, 62], Operations: []
Exploring Operation: 62-14=48, Resulting Numbers: [21, 39, 48]
Generated Node #0,0: 49:[21, 39, 48] Operation: 62-14=48
Exploring Operation: 21-14=7, Resulting Numbers: [39, 62, 7]
Generated Node #0,1: 49:[39, 62, 7] Operation: 21-14=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[39, 62, 7], Operations: ['21-14=7']
Exploring Operation: 39+7=46, Resulting Numbers: [62, 46]
Generated Node #0,1,0: 49:[62, 46] Operation: 39+7=46
Exploring Operation: 62-39=23, Resulting Numbers: [7, 23]
Generated Node #0,1,1: 49:[7, 23] Operation: 62-39=23
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[62, 46], Operations: ['21-14=7', '39+7=46']
Exploring Operation: 62-46=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 62+46=108, Resulting Numbers: [108]
108,49 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 #0,1,1
Current State: 49:[7, 23], Operations: ['21-14=7', '62-39=23']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,49 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 #0,0
Current State: 49:[21, 39, 48], Operations: ['62-14=48']
Exploring Operation: 21+39=60, Resulting Numbers: [48, 60]
Generated Node #0,0,0: 49:[48, 60] Operation: 21+39=60
Exploring Operation: 39-21=18, Resulting Numbers: [48, 18]
Generated Node #0,0,1: 49:[48, 18] Operation: 39-21=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[48, 60], Operations: ['62-14=48', '21+39=60']
Exploring Operation: 60-48=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 48+60=108, Resulting Numbers: [108]
108,49 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:[48, 18], Operations: ['62-14=48', '39-21=18']
Exploring Operation: 48+18=66, Resulting Numbers: [66]
66,49 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,49 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_2 | sum_heuristic |
[
34,
23,
4,
27
] | 31 | [
"34+27=61",
"23*4=92",
"92-61=31"
] | Current State: 31:[34, 23, 4, 27], Operations: []
Exploring Operation: 34+27=61, Resulting Numbers: [23, 4, 61]
Generated Node #2: [23, 4, 61] from Operation: 34+27=61
Current State: 31:[23, 4, 61], Operations: ['34+27=61']
Exploring Operation: 23*4=92, Resulting Numbers: [61, 92]
Generated Node #3: [61, 92] from Operation: 23*4=92
Current State: 31:[61, 92], Operations: ['34+27=61', '23*4=92']
Exploring Operation: 92-61=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[34, 23, 4, 27], Operations: []
Exploring Operation: 4+27=31, Resulting Numbers: [34, 23, 31]
Generated Node #0,0: 31:[34, 23, 31] Operation: 4+27=31
Exploring Operation: 23+4=27, Resulting Numbers: [34, 27, 27]
Generated Node #0,1: 31:[34, 27, 27] Operation: 23+4=27
Exploring Operation: 34-4=30, Resulting Numbers: [23, 27, 30]
Generated Node #0,2: 31:[23, 27, 30] Operation: 34-4=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[34, 23, 31], Operations: ['4+27=31']
Exploring Operation: 34-23=11, Resulting Numbers: [31, 11]
Generated Node #0,0,0: 31:[31, 11] Operation: 34-23=11
Exploring Operation: 34+23=57, Resulting Numbers: [31, 57]
Generated Node #0,0,1: 31:[31, 57] Operation: 34+23=57
Exploring Operation: 23+31=54, Resulting Numbers: [34, 54]
Generated Node #0,0,2: 31:[34, 54] Operation: 23+31=54
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[31, 11], Operations: ['4+27=31', '34-23=11']
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Exploring Operation: 31+11=42, Resulting Numbers: [42]
42,31 unequal: No Solution
Exploring Operation: 31*11=341, Resulting Numbers: [341]
341,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 31:[31, 57], Operations: ['4+27=31', '34+23=57']
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 31+57=88, Resulting Numbers: [88]
88,31 unequal: No Solution
Exploring Operation: 31*57=1767, Resulting Numbers: [1767]
1767,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 31:[34, 54], Operations: ['4+27=31', '23+31=54']
Exploring Operation: 34*54=1836, Resulting Numbers: [1836]
1836,31 unequal: No Solution
Exploring Operation: 34+54=88, Resulting Numbers: [88]
88,31 unequal: No Solution
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[34, 27, 27], Operations: ['23+4=27']
Exploring Operation: 34-27=7, Resulting Numbers: [27, 7]
Generated Node #0,1,0: 31:[27, 7] Operation: 34-27=7
Exploring Operation: 27+27=54, Resulting Numbers: [34, 54]
Generated Node #0,1,1: 31:[34, 54] Operation: 27+27=54
Exploring Operation: 34-27=7, Resulting Numbers: [27, 7]
Generated Node #0,1,2: 31:[27, 7] Operation: 34-27=7
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 31:[34, 54], Operations: ['23+4=27', '27+27=54']
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Exploring Operation: 34*54=1836, Resulting Numbers: [1836]
1836,31 unequal: No Solution
Exploring Operation: 34+54=88, Resulting Numbers: [88]
88,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[27, 7], Operations: ['23+4=27', '34-27=7']
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,31 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Exploring Operation: 27*7=189, Resulting Numbers: [189]
189,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 31:[27, 7], Operations: ['23+4=27', '34-27=7']
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,31 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Exploring Operation: 27*7=189, Resulting Numbers: [189]
189,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[23, 27, 30], Operations: ['34-4=30']
Exploring Operation: 23+30=53, Resulting Numbers: [27, 53]
Generated Node #0,2,0: 31:[27, 53] Operation: 23+30=53
Exploring Operation: 23+27=50, Resulting Numbers: [30, 50]
Generated Node #0,2,1: 31:[30, 50] Operation: 23+27=50
Exploring Operation: 27-23=4, Resulting Numbers: [30, 4]
Generated Node #0,2,2: 31:[30, 4] Operation: 27-23=4
Moving to Node #0,2,1
Current State: 31:[30, 50], Operations: ['34-4=30', '23+27=50']
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Exploring Operation: 30*50=1500, Resulting Numbers: [1500]
1500,31 unequal: No Solution
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[27, 53], Operations: ['34-4=30', '23+30=53']
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 27*53=1431, Resulting Numbers: [1431]
1431,31 unequal: No Solution
Exploring Operation: 27+53=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[30, 4], Operations: ['34-4=30', '27-23=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,31 unequal: No Solution
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
46,
63,
87,
74
] | 52 | [
"46+63=109",
"87+74=161",
"161-109=52"
] | Current State: 52:[46, 63, 87, 74], Operations: []
Exploring Operation: 46+63=109, Resulting Numbers: [87, 74, 109]
Generated Node #2: [87, 74, 109] from Operation: 46+63=109
Current State: 52:[87, 74, 109], Operations: ['46+63=109']
Exploring Operation: 87+74=161, Resulting Numbers: [109, 161]
Generated Node #3: [109, 161] from Operation: 87+74=161
Current State: 52:[109, 161], Operations: ['46+63=109', '87+74=161']
Exploring Operation: 161-109=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[46, 63, 87, 74], Operations: []
Exploring Operation: 74-63=11, Resulting Numbers: [46, 87, 11]
Generated Node #0,0: 52:[46, 87, 11] Operation: 74-63=11
Exploring Operation: 87-46=41, Resulting Numbers: [63, 74, 41]
Generated Node #0,1: 52:[63, 74, 41] Operation: 87-46=41
Exploring Operation: 87-63=24, Resulting Numbers: [46, 74, 24]
Generated Node #0,2: 52:[46, 74, 24] Operation: 87-63=24
Exploring Operation: 87-74=13, Resulting Numbers: [46, 63, 13]
Generated Node #0,3: 52:[46, 63, 13] Operation: 87-74=13
Moving to Node #0,3
Current State: 52:[46, 63, 13], Operations: ['87-74=13']
Exploring Operation: 63-46=17, Resulting Numbers: [13, 17]
Generated Node #0,3,0: 52:[13, 17] Operation: 63-46=17
Exploring Operation: 46+13=59, Resulting Numbers: [63, 59]
Generated Node #0,3,1: 52:[63, 59] Operation: 46+13=59
Exploring Operation: 46-13=33, Resulting Numbers: [63, 33]
Generated Node #0,3,2: 52:[63, 33] Operation: 46-13=33
Exploring Operation: 63-13=50, Resulting Numbers: [46, 50]
Generated Node #0,3,3: 52:[46, 50] Operation: 63-13=50
Moving to Node #0,2
Current State: 52:[46, 74, 24], Operations: ['87-63=24']
Exploring Operation: 74-46=28, Resulting Numbers: [24, 28]
Generated Node #0,2,0: 52:[24, 28] Operation: 74-46=28
Exploring Operation: 46-24=22, Resulting Numbers: [74, 22]
Generated Node #0,2,1: 52:[74, 22] Operation: 46-24=22
Exploring Operation: 46+24=70, Resulting Numbers: [74, 70]
Generated Node #0,2,2: 52:[74, 70] Operation: 46+24=70
Exploring Operation: 74-24=50, Resulting Numbers: [46, 50]
Generated Node #0,2,3: 52:[46, 50] Operation: 74-24=50
Moving to Node #0,0
Current State: 52:[46, 87, 11], Operations: ['74-63=11']
Exploring Operation: 87-46=41, Resulting Numbers: [11, 41]
Generated Node #0,0,0: 52:[11, 41] Operation: 87-46=41
Exploring Operation: 46-11=35, Resulting Numbers: [87, 35]
Generated Node #0,0,1: 52:[87, 35] Operation: 46-11=35
Exploring Operation: 87-11=76, Resulting Numbers: [46, 76]
Generated Node #0,0,2: 52:[46, 76] Operation: 87-11=76
Exploring Operation: 46+11=57, Resulting Numbers: [87, 57]
Generated Node #0,0,3: 52:[87, 57] Operation: 46+11=57
Moving to Node #0,1
Current State: 52:[63, 74, 41], Operations: ['87-46=41']
Exploring Operation: 63-41=22, Resulting Numbers: [74, 22]
Generated Node #0,1,0: 52:[74, 22] Operation: 63-41=22
Exploring Operation: 63+41=104, Resulting Numbers: [74, 104]
Generated Node #0,1,1: 52:[74, 104] Operation: 63+41=104
Exploring Operation: 74-41=33, Resulting Numbers: [63, 33]
Generated Node #0,1,2: 52:[63, 33] Operation: 74-41=33
Exploring Operation: 74-63=11, Resulting Numbers: [41, 11]
Generated Node #0,1,3: 52:[41, 11] Operation: 74-63=11
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 52:[41, 11], Operations: ['87-46=41', '74-63=11']
Exploring Operation: 41*11=451, Resulting Numbers: [451]
451,52 unequal: No Solution
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[46, 63, 87, 74], Operations: []
Exploring Operation: 87-46=41, Resulting Numbers: [63, 74, 41]
Generated Node #0,1: 52:[63, 74, 41] Operation: 87-46=41
Moving to Node #0,1
Current State: 52:[63, 74, 41], Operations: ['87-46=41']
Exploring Operation: 74-63=11, Resulting Numbers: [41, 11]
Generated Node #0,1,3: 52:[41, 11] Operation: 74-63=11
Moving to Node #0,1,3
Current State: 52:[41, 11], Operations: ['87-46=41', '74-63=11']
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_4 | sum_heuristic |
[
95,
77,
54,
35
] | 37 | [
"95-77=18",
"54-35=19",
"18+19=37"
] | Current State: 37:[95, 77, 54, 35], Operations: []
Exploring Operation: 95-77=18, Resulting Numbers: [54, 35, 18]
Generated Node #2: [54, 35, 18] from Operation: 95-77=18
Current State: 37:[54, 35, 18], Operations: ['95-77=18']
Exploring Operation: 54-35=19, Resulting Numbers: [18, 19]
Generated Node #3: [18, 19] from Operation: 54-35=19
Current State: 37:[18, 19], Operations: ['95-77=18', '54-35=19']
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[95, 77, 54, 35], Operations: []
Exploring Operation: 95-35=60, Resulting Numbers: [77, 54, 60]
Generated Node #0,0: 37:[77, 54, 60] Operation: 95-35=60
Exploring Operation: 95-77=18, Resulting Numbers: [54, 35, 18]
Generated Node #0,1: 37:[54, 35, 18] Operation: 95-77=18
Exploring Operation: 95-54=41, Resulting Numbers: [77, 35, 41]
Generated Node #0,2: 37:[77, 35, 41] Operation: 95-54=41
Exploring Operation: 77-35=42, Resulting Numbers: [95, 54, 42]
Generated Node #0,3: 37:[95, 54, 42] Operation: 77-35=42
Exploring Operation: 77-54=23, Resulting Numbers: [95, 35, 23]
Generated Node #0,4: 37:[95, 35, 23] Operation: 77-54=23
Moving to Node #0,1
Current State: 37:[54, 35, 18], Operations: ['95-77=18']
Exploring Operation: 54/18=3, Resulting Numbers: [35, 3]
Generated Node #0,1,0: 37:[35, 3] Operation: 54/18=3
Exploring Operation: 54-18=36, Resulting Numbers: [35, 36]
Generated Node #0,1,1: 37:[35, 36] Operation: 54-18=36
Exploring Operation: 35+18=53, Resulting Numbers: [54, 53]
Generated Node #0,1,2: 37:[54, 53] Operation: 35+18=53
Exploring Operation: 54+18=72, Resulting Numbers: [35, 72]
Generated Node #0,1,3: 37:[35, 72] Operation: 54+18=72
Exploring Operation: 54-35=19, Resulting Numbers: [18, 19]
Generated Node #0,1,4: 37:[18, 19] Operation: 54-35=19
Moving to Node #0,2
Current State: 37:[77, 35, 41], Operations: ['95-54=41']
Exploring Operation: 77-35=42, Resulting Numbers: [41, 42]
Generated Node #0,2,0: 37:[41, 42] Operation: 77-35=42
Exploring Operation: 77-41=36, Resulting Numbers: [35, 36]
Generated Node #0,2,1: 37:[35, 36] Operation: 77-41=36
Exploring Operation: 77+35=112, Resulting Numbers: [41, 112]
Generated Node #0,2,2: 37:[41, 112] Operation: 77+35=112
Exploring Operation: 35+41=76, Resulting Numbers: [77, 76]
Generated Node #0,2,3: 37:[77, 76] Operation: 35+41=76
Exploring Operation: 41-35=6, Resulting Numbers: [77, 6]
Generated Node #0,2,4: 37:[77, 6] Operation: 41-35=6
Moving to Node #0,4
Current State: 37:[95, 35, 23], Operations: ['77-54=23']
Exploring Operation: 95-23=72, Resulting Numbers: [35, 72]
Generated Node #0,4,0: 37:[35, 72] Operation: 95-23=72
Exploring Operation: 35-23=12, Resulting Numbers: [95, 12]
Generated Node #0,4,1: 37:[95, 12] Operation: 35-23=12
Exploring Operation: 35+23=58, Resulting Numbers: [95, 58]
Generated Node #0,4,2: 37:[95, 58] Operation: 35+23=58
Exploring Operation: 95+23=118, Resulting Numbers: [35, 118]
Generated Node #0,4,3: 37:[35, 118] Operation: 95+23=118
Exploring Operation: 95-35=60, Resulting Numbers: [23, 60]
Generated Node #0,4,4: 37:[23, 60] Operation: 95-35=60
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 37:[35, 72], Operations: ['77-54=23', '95-23=72']
Exploring Operation: 35+72=107, Resulting Numbers: [107]
107,37 unequal: No Solution
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[95, 77, 54, 35], Operations: []
Exploring Operation: 77-54=23, Resulting Numbers: [95, 35, 23]
Generated Node #0,4: 37:[95, 35, 23] Operation: 77-54=23
Moving to Node #0,4
Current State: 37:[95, 35, 23], Operations: ['77-54=23']
Exploring Operation: 95-23=72, Resulting Numbers: [35, 72]
Generated Node #0,4,0: 37:[35, 72] Operation: 95-23=72
Moving to Node #0,4,0
Current State: 37:[35, 72], Operations: ['77-54=23', '95-23=72']
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | mult_heuristic |
[
47,
22,
59,
45
] | 96 | [
"47-45=2",
"59*2=118",
"118-22=96"
] | Current State: 96:[47, 22, 59, 45], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [22, 59, 2]
Generated Node #2: [22, 59, 2] from Operation: 47-45=2
Current State: 96:[22, 59, 2], Operations: ['47-45=2']
Exploring Operation: 59*2=118, Resulting Numbers: [22, 118]
Generated Node #3: [22, 118] from Operation: 59*2=118
Current State: 96:[22, 118], Operations: ['47-45=2', '59*2=118']
Exploring Operation: 118-22=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[47, 22, 59, 45], Operations: []
Exploring Operation: 59-22=37, Resulting Numbers: [47, 45, 37]
Generated Node #0,0: 96:[47, 45, 37] Operation: 59-22=37
Exploring Operation: 59-45=14, Resulting Numbers: [47, 22, 14]
Generated Node #0,1: 96:[47, 22, 14] Operation: 59-45=14
Exploring Operation: 59-47=12, Resulting Numbers: [22, 45, 12]
Generated Node #0,2: 96:[22, 45, 12] Operation: 59-47=12
Exploring Operation: 59+45=104, Resulting Numbers: [47, 22, 104]
Generated Node #0,3: 96:[47, 22, 104] Operation: 59+45=104
Moving to Node #0,1
Current State: 96:[47, 22, 14], Operations: ['59-45=14']
Exploring Operation: 47-14=33, Resulting Numbers: [22, 33]
Generated Node #0,1,0: 96:[22, 33] Operation: 47-14=33
Exploring Operation: 47-22=25, Resulting Numbers: [14, 25]
Generated Node #0,1,1: 96:[14, 25] Operation: 47-22=25
Exploring Operation: 22+14=36, Resulting Numbers: [47, 36]
Generated Node #0,1,2: 96:[47, 36] Operation: 22+14=36
Exploring Operation: 22-14=8, Resulting Numbers: [47, 8]
Generated Node #0,1,3: 96:[47, 8] Operation: 22-14=8
Moving to Node #0,2
Current State: 96:[22, 45, 12], Operations: ['59-47=12']
Exploring Operation: 22-12=10, Resulting Numbers: [45, 10]
Generated Node #0,2,0: 96:[45, 10] Operation: 22-12=10
Exploring Operation: 45-22=23, Resulting Numbers: [12, 23]
Generated Node #0,2,1: 96:[12, 23] Operation: 45-22=23
Exploring Operation: 22+12=34, Resulting Numbers: [45, 34]
Generated Node #0,2,2: 96:[45, 34] Operation: 22+12=34
Exploring Operation: 45-12=33, Resulting Numbers: [22, 33]
Generated Node #0,2,3: 96:[22, 33] Operation: 45-12=33
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 96:[12, 23], Operations: ['59-47=12', '45-22=23']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,96 unequal: No Solution
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 96:[22, 33], Operations: ['59-47=12', '45-12=33']
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 22+33=55, Resulting Numbers: [55]
55,96 unequal: No Solution
Exploring Operation: 22*33=726, Resulting Numbers: [726]
726,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 96:[45, 10], Operations: ['59-47=12', '22-12=10']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,96 unequal: No Solution
Exploring Operation: 45*10=450, Resulting Numbers: [450]
450,96 unequal: No Solution
Exploring Operation: 45+10=55, Resulting Numbers: [55]
55,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 96:[45, 34], Operations: ['59-47=12', '22+12=34']
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 45*34=1530, Resulting Numbers: [1530]
1530,96 unequal: No Solution
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,96 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: 96:[47, 45, 37], Operations: ['59-22=37']
Exploring Operation: 45-37=8, Resulting Numbers: [47, 8]
Generated Node #0,0,0: 96:[47, 8] Operation: 45-37=8
Exploring Operation: 47+45=92, Resulting Numbers: [37, 92]
Generated Node #0,0,1: 96:[37, 92] Operation: 47+45=92
Exploring Operation: 47-45=2, Resulting Numbers: [37, 2]
Generated Node #0,0,2: 96:[37, 2] Operation: 47-45=2
Exploring Operation: 47-37=10, Resulting Numbers: [45, 10]
Generated Node #0,0,3: 96:[45, 10] Operation: 47-37=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[47, 8], Operations: ['59-22=37', '45-37=8']
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,96 unequal: No Solution
Exploring Operation: 47*8=376, Resulting Numbers: [376]
376,96 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 96:[37, 2], Operations: ['59-22=37', '47-45=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 96:[45, 10], Operations: ['59-22=37', '47-37=10']
Exploring Operation: 45+10=55, Resulting Numbers: [55]
55,96 unequal: No Solution
Exploring Operation: 45*10=450, Resulting Numbers: [450]
450,96 unequal: No Solution
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[37, 92], Operations: ['59-22=37', '47+45=92']
Exploring Operation: 92-37=55, Resulting Numbers: [55]
55,96 unequal: No Solution
Exploring Operation: 37+92=129, Resulting Numbers: [129]
129,96 unequal: No Solution
Exploring Operation: 37*92=3404, Resulting Numbers: [3404]
3404,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 96:[47, 22, 104], Operations: ['59+45=104']
Exploring Operation: 104-22=82, Resulting Numbers: [47, 82]
Generated Node #0,3,0: 96:[47, 82] Operation: 104-22=82
Exploring Operation: 47+22=69, Resulting Numbers: [104, 69]
Generated Node #0,3,1: 96:[104, 69] Operation: 47+22=69
Exploring Operation: 47-22=25, Resulting Numbers: [104, 25]
Generated Node #0,3,2: 96:[104, 25] Operation: 47-22=25
Exploring Operation: 104-47=57, Resulting Numbers: [22, 57]
Generated Node #0,3,3: 96:[22, 57] Operation: 104-47=57
Moving to Node #0,1,3
Current State: 96:[47, 8], Operations: ['59-45=14', '22-14=8']
Exploring Operation: 47*8=376, Resulting Numbers: [376]
376,96 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[14, 25], Operations: ['59-45=14', '47-22=25']
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 14*25=350, Resulting Numbers: [350]
350,96 unequal: No Solution
Exploring Operation: 14+25=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[22, 33], Operations: ['59-45=14', '47-14=33']
Exploring Operation: 22*33=726, Resulting Numbers: [726]
726,96 unequal: No Solution
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 22+33=55, Resulting Numbers: [55]
55,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[47, 36], Operations: ['59-45=14', '22+14=36']
Exploring Operation: 47+36=83, Resulting Numbers: [83]
83,96 unequal: No Solution
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 47*36=1692, Resulting Numbers: [1692]
1692,96 unequal: No Solution
Moving to Node #0,3,2
Current State: 96:[104, 25], Operations: ['59+45=104', '47-22=25']
Exploring Operation: 104-25=79, Resulting Numbers: [79]
79,96 unequal: No Solution
Exploring Operation: 104*25=2600, Resulting Numbers: [2600]
2600,96 unequal: No Solution
Exploring Operation: 104+25=129, Resulting Numbers: [129]
129,96 unequal: No Solution
Moving to Node #0,3,3
Current State: 96:[22, 57], Operations: ['59+45=104', '104-47=57']
Exploring Operation: 57-22=35, Resulting Numbers: [35]
35,96 unequal: No Solution
Exploring Operation: 22*57=1254, Resulting Numbers: [1254]
1254,96 unequal: No Solution
Exploring Operation: 22+57=79, Resulting Numbers: [79]
79,96 unequal: No Solution
Moving to Node #0,3,0
Current State: 96:[47, 82], Operations: ['59+45=104', '104-22=82']
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,96 unequal: No Solution
Exploring Operation: 47*82=3854, Resulting Numbers: [3854]
3854,96 unequal: No Solution
Exploring Operation: 47+82=129, Resulting Numbers: [129]
129,96 unequal: No Solution
Moving to Node #0,3,1
Current State: 96:[104, 69], Operations: ['59+45=104', '47+22=69']
Exploring Operation: 104+69=173, Resulting Numbers: [173]
173,96 unequal: No Solution
Exploring Operation: 104*69=7176, Resulting Numbers: [7176]
7176,96 unequal: No Solution
Exploring Operation: 104-69=35, Resulting Numbers: [35]
35,96 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
92,
36,
39,
2
] | 71 | [
"92-39=53",
"36/2=18",
"53+18=71"
] | Current State: 71:[92, 36, 39, 2], Operations: []
Exploring Operation: 92-39=53, Resulting Numbers: [36, 2, 53]
Generated Node #2: [36, 2, 53] from Operation: 92-39=53
Current State: 71:[36, 2, 53], Operations: ['92-39=53']
Exploring Operation: 36/2=18, Resulting Numbers: [53, 18]
Generated Node #3: [53, 18] from Operation: 36/2=18
Current State: 71:[53, 18], Operations: ['92-39=53', '36/2=18']
Exploring Operation: 53+18=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[92, 36, 39, 2], Operations: []
Exploring Operation: 36*2=72, Resulting Numbers: [92, 39, 72]
Generated Node #0,0: 71:[92, 39, 72] Operation: 36*2=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[92, 39, 72], Operations: ['36*2=72']
Exploring Operation: 92-39=53, Resulting Numbers: [72, 53]
Generated Node #0,0,0: 71:[72, 53] Operation: 92-39=53
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[72, 53], Operations: ['36*2=72', '92-39=53']
Exploring Operation: 72-53=19, Resulting Numbers: [19]
19,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
33,
39,
60,
26
] | 92 | [
"39-33=6",
"60+26=86",
"6+86=92"
] | Current State: 92:[33, 39, 60, 26], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [60, 26, 6]
Generated Node #2: [60, 26, 6] from Operation: 39-33=6
Current State: 92:[60, 26, 6], Operations: ['39-33=6']
Exploring Operation: 60+26=86, Resulting Numbers: [6, 86]
Generated Node #3: [6, 86] from Operation: 60+26=86
Current State: 92:[6, 86], Operations: ['39-33=6', '60+26=86']
Exploring Operation: 6+86=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[33, 39, 60, 26], Operations: []
Exploring Operation: 33+60=93, Resulting Numbers: [39, 26, 93]
Generated Node #0,0: 92:[39, 26, 93] Operation: 33+60=93
Moving to Node #0,0
Current State: 92:[39, 26, 93], Operations: ['33+60=93']
Exploring Operation: 39-26=13, Resulting Numbers: [93, 13]
Generated Node #0,0,0: 92:[93, 13] Operation: 39-26=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 92:[93, 13], Operations: ['33+60=93', '39-26=13']
Exploring Operation: 93-13=80, Resulting Numbers: [80]
80,92 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 |
[
90,
8,
27,
98
] | 91 | [
"98-90=8",
"8*8=64",
"27+64=91"
] | Current State: 91:[90, 8, 27, 98], Operations: []
Exploring Operation: 98-90=8, Resulting Numbers: [8, 27, 8]
Generated Node #2: [8, 27, 8] from Operation: 98-90=8
Current State: 91:[8, 27, 8], Operations: ['98-90=8']
Exploring Operation: 8*8=64, Resulting Numbers: [27, 64]
Generated Node #3: [27, 64] from Operation: 8*8=64
Current State: 91:[27, 64], Operations: ['98-90=8', '8*8=64']
Exploring Operation: 27+64=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[90, 8, 27, 98], Operations: []
Exploring Operation: 98-8=90, Resulting Numbers: [90, 27, 90]
Generated Node #0,0: 91:[90, 27, 90] Operation: 98-8=90
Exploring Operation: 27-8=19, Resulting Numbers: [90, 98, 19]
Generated Node #0,1: 91:[90, 98, 19] Operation: 27-8=19
Exploring Operation: 98-90=8, Resulting Numbers: [8, 27, 8]
Generated Node #0,2: 91:[8, 27, 8] Operation: 98-90=8
Moving to Node #0,1
Current State: 91:[90, 98, 19], Operations: ['27-8=19']
Exploring Operation: 98-19=79, Resulting Numbers: [90, 79]
Generated Node #0,1,0: 91:[90, 79] Operation: 98-19=79
Exploring Operation: 90+19=109, Resulting Numbers: [98, 109]
Generated Node #0,1,1: 91:[98, 109] Operation: 90+19=109
Exploring Operation: 98-90=8, Resulting Numbers: [19, 8]
Generated Node #0,1,2: 91:[19, 8] Operation: 98-90=8
Moving to Node #0,0
Current State: 91:[90, 27, 90], Operations: ['98-8=90']
Exploring Operation: 90-90=0, Resulting Numbers: [27, 0]
Generated Node #0,0,0: 91:[27, 0] Operation: 90-90=0
Exploring Operation: 90+27=117, Resulting Numbers: [90, 117]
Generated Node #0,0,1: 91:[90, 117] Operation: 90+27=117
Exploring Operation: 90/90=1, Resulting Numbers: [27, 1]
Generated Node #0,0,2: 91:[27, 1] Operation: 90/90=1
Moving to Node #0,2
Current State: 91:[8, 27, 8], Operations: ['98-90=8']
Exploring Operation: 27-8=19, Resulting Numbers: [8, 19]
Generated Node #0,2,0: 91:[8, 19] Operation: 27-8=19
Exploring Operation: 8+8=16, Resulting Numbers: [27, 16]
Generated Node #0,2,1: 91:[27, 16] Operation: 8+8=16
Exploring Operation: 27-8=19, Resulting Numbers: [8, 19]
Generated Node #0,2,2: 91:[8, 19] Operation: 27-8=19
Moving to Node #0,1,2
Current State: 91:[19, 8], Operations: ['27-8=19', '98-90=8']
Exploring Operation: 19*8=152, Resulting Numbers: [152]
152,91 unequal: No Solution
Exploring Operation: 19+8=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[8, 19], Operations: ['98-90=8', '27-8=19']
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,91 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[8, 19], Operations: ['98-90=8', '27-8=19']
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,91 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[90, 79], Operations: ['27-8=19', '98-19=79']
Exploring Operation: 90-79=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Exploring Operation: 90*79=7110, Resulting Numbers: [7110]
7110,91 unequal: No Solution
Exploring Operation: 90+79=169, Resulting Numbers: [169]
169,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[27, 16], Operations: ['98-90=8', '8+8=16']
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,91 unequal: No Solution
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[27, 1], Operations: ['98-8=90', '90/90=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[27, 0], Operations: ['98-8=90', '90-90=0']
Exploring Operation: 27*0=0, Resulting Numbers: [0]
0,91 unequal: No Solution
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Exploring Operation: 27-0=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[98, 109], Operations: ['27-8=19', '90+19=109']
Exploring Operation: 98*109=10682, Resulting Numbers: [10682]
10682,91 unequal: No Solution
Exploring Operation: 98+109=207, Resulting Numbers: [207]
207,91 unequal: No Solution
Exploring Operation: 109-98=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[90, 117], Operations: ['98-8=90', '90+27=117']
Exploring Operation: 90*117=10530, Resulting Numbers: [10530]
10530,91 unequal: No Solution
Exploring Operation: 90+117=207, Resulting Numbers: [207]
207,91 unequal: No Solution
Exploring Operation: 117-90=27, Resulting Numbers: [27]
27,91 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
18,
80,
14,
11
] | 26 | [
"14-11=3",
"18*3=54",
"80-54=26"
] | Current State: 26:[18, 80, 14, 11], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [18, 80, 3]
Generated Node #2: [18, 80, 3] from Operation: 14-11=3
Current State: 26:[18, 80, 3], Operations: ['14-11=3']
Exploring Operation: 18*3=54, Resulting Numbers: [80, 54]
Generated Node #3: [80, 54] from Operation: 18*3=54
Current State: 26:[80, 54], Operations: ['14-11=3', '18*3=54']
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[18, 80, 14, 11], Operations: []
Exploring Operation: 80-18=62, Resulting Numbers: [14, 11, 62]
Generated Node #0,0: 26:[14, 11, 62] Operation: 80-18=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[14, 11, 62], Operations: ['80-18=62']
Exploring Operation: 62-14=48, Resulting Numbers: [11, 48]
Generated Node #0,0,0: 26:[11, 48] Operation: 62-14=48
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[11, 48], Operations: ['80-18=62', '62-14=48']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,26 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_1 | sum_heuristic |
[
34,
60,
46,
46
] | 64 | [
"46*46=2116",
"60+2116=2176",
"2176/34=64"
] | Current State: 64:[34, 60, 46, 46], Operations: []
Exploring Operation: 46*46=2116, Resulting Numbers: [34, 60, 2116]
Generated Node #2: [34, 60, 2116] from Operation: 46*46=2116
Current State: 64:[34, 60, 2116], Operations: ['46*46=2116']
Exploring Operation: 60+2116=2176, Resulting Numbers: [34, 2176]
Generated Node #3: [34, 2176] from Operation: 60+2116=2176
Current State: 64:[34, 2176], Operations: ['46*46=2116', '60+2116=2176']
Exploring Operation: 2176/34=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[34, 60, 46, 46], Operations: []
Exploring Operation: 46-46=0, Resulting Numbers: [34, 60, 0]
Generated Node #0,0: 64:[34, 60, 0] Operation: 46-46=0
Exploring Operation: 60-46=14, Resulting Numbers: [34, 46, 14]
Generated Node #0,1: 64:[34, 46, 14] Operation: 60-46=14
Exploring Operation: 60-46=14, Resulting Numbers: [34, 46, 14]
Generated Node #0,2: 64:[34, 46, 14] Operation: 60-46=14
Exploring Operation: 46/46=1, Resulting Numbers: [34, 60, 1]
Generated Node #0,3: 64:[34, 60, 1] Operation: 46/46=1
Exploring Operation: 46-34=12, Resulting Numbers: [60, 46, 12]
Generated Node #0,4: 64:[60, 46, 12] Operation: 46-34=12
Moving to Node #0,3
Current State: 64:[34, 60, 1], Operations: ['46/46=1']
Exploring Operation: 34/1=34, Resulting Numbers: [60, 34]
Generated Node #0,3,0: 64:[60, 34] Operation: 34/1=34
Exploring Operation: 60+1=61, Resulting Numbers: [34, 61]
Generated Node #0,3,1: 64:[34, 61] Operation: 60+1=61
Exploring Operation: 34-1=33, Resulting Numbers: [60, 33]
Generated Node #0,3,2: 64:[60, 33] Operation: 34-1=33
Exploring Operation: 34*1=34, Resulting Numbers: [60, 34]
Generated Node #0,3,3: 64:[60, 34] Operation: 34*1=34
Exploring Operation: 60*1=60, Resulting Numbers: [34, 60]
Generated Node #0,3,4: 64:[34, 60] Operation: 60*1=60
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 64:[34, 61], Operations: ['46/46=1', '60+1=61']
Exploring Operation: 34+61=95, Resulting Numbers: [95]
95,64 unequal: No Solution
Exploring Operation: 34*61=2074, Resulting Numbers: [2074]
2074,64 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 64:[60, 33], Operations: ['46/46=1', '34-1=33']
Exploring Operation: 60+33=93, Resulting Numbers: [93]
93,64 unequal: No Solution
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 60*33=1980, Resulting Numbers: [1980]
1980,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 64:[60, 34], Operations: ['46/46=1', '34/1=34']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,64 unequal: No Solution
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 64:[60, 34], Operations: ['46/46=1', '34*1=34']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,64 unequal: No Solution
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 64:[34, 60], Operations: ['46/46=1', '60*1=60']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 34*60=2040, Resulting Numbers: [2040]
2040,64 unequal: No Solution
Exploring Operation: 34+60=94, Resulting Numbers: [94]
94,64 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: 64:[34, 60, 0], Operations: ['46-46=0']
Exploring Operation: 34+0=34, Resulting Numbers: [60, 34]
Generated Node #0,0,0: 64:[60, 34] Operation: 34+0=34
Exploring Operation: 34-0=34, Resulting Numbers: [60, 34]
Generated Node #0,0,1: 64:[60, 34] Operation: 34-0=34
Exploring Operation: 34*0=0, Resulting Numbers: [60, 0]
Generated Node #0,0,2: 64:[60, 0] Operation: 34*0=0
Exploring Operation: 60+0=60, Resulting Numbers: [34, 60]
Generated Node #0,0,3: 64:[34, 60] Operation: 60+0=60
Exploring Operation: 60*0=0, Resulting Numbers: [34, 0]
Generated Node #0,0,4: 64:[34, 0] Operation: 60*0=0
Moving to Node #0,1
Current State: 64:[34, 46, 14], Operations: ['60-46=14']
Exploring Operation: 46-14=32, Resulting Numbers: [34, 32]
Generated Node #0,1,0: 64:[34, 32] Operation: 46-14=32
Exploring Operation: 46+14=60, Resulting Numbers: [34, 60]
Generated Node #0,1,1: 64:[34, 60] Operation: 46+14=60
Exploring Operation: 34-14=20, Resulting Numbers: [46, 20]
Generated Node #0,1,2: 64:[46, 20] Operation: 34-14=20
Exploring Operation: 46-34=12, Resulting Numbers: [14, 12]
Generated Node #0,1,3: 64:[14, 12] Operation: 46-34=12
Exploring Operation: 34+46=80, Resulting Numbers: [14, 80]
Generated Node #0,1,4: 64:[14, 80] Operation: 34+46=80
Moving to Node #0,2
Current State: 64:[34, 46, 14], Operations: ['60-46=14']
Exploring Operation: 46-34=12, Resulting Numbers: [14, 12]
Generated Node #0,2,0: 64:[14, 12] Operation: 46-34=12
Exploring Operation: 46-14=32, Resulting Numbers: [34, 32]
Generated Node #0,2,1: 64:[34, 32] Operation: 46-14=32
Exploring Operation: 34-14=20, Resulting Numbers: [46, 20]
Generated Node #0,2,2: 64:[46, 20] Operation: 34-14=20
Exploring Operation: 34+46=80, Resulting Numbers: [14, 80]
Generated Node #0,2,3: 64:[14, 80] Operation: 34+46=80
Exploring Operation: 46+14=60, Resulting Numbers: [34, 60]
Generated Node #0,2,4: 64:[34, 60] Operation: 46+14=60
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 64:[34, 32], Operations: ['60-46=14', '46-14=32']
Exploring Operation: 34*32=1088, Resulting Numbers: [1088]
1088,64 unequal: No Solution
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 64:[14, 12], Operations: ['60-46=14', '46-34=12']
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,64 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 64:[34, 60], Operations: ['60-46=14', '46+14=60']
Exploring Operation: 34+60=94, Resulting Numbers: [94]
94,64 unequal: No Solution
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 34*60=2040, Resulting Numbers: [2040]
2040,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 64:[46, 20], Operations: ['60-46=14', '34-14=20']
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,64 unequal: No Solution
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 64:[14, 80], Operations: ['60-46=14', '34+46=80']
Exploring Operation: 80-14=66, Resulting Numbers: [66]
66,64 unequal: No Solution
Exploring Operation: 14+80=94, Resulting Numbers: [94]
94,64 unequal: No Solution
Exploring Operation: 14*80=1120, Resulting Numbers: [1120]
1120,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 64:[60, 46, 12], Operations: ['46-34=12']
Exploring Operation: 60-46=14, Resulting Numbers: [12, 14]
Generated Node #0,4,0: 64:[12, 14] Operation: 60-46=14
Exploring Operation: 60+12=72, Resulting Numbers: [46, 72]
Generated Node #0,4,1: 64:[46, 72] Operation: 60+12=72
Exploring Operation: 60/12=5, Resulting Numbers: [46, 5]
Generated Node #0,4,2: 64:[46, 5] Operation: 60/12=5
Exploring Operation: 46+12=58, Resulting Numbers: [60, 58]
Generated Node #0,4,3: 64:[60, 58] Operation: 46+12=58
Exploring Operation: 46-12=34, Resulting Numbers: [60, 34]
Generated Node #0,4,4: 64:[60, 34] Operation: 46-12=34
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 64:[12, 14], Operations: ['46-34=12', '60-46=14']
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 12*14=168, Resulting Numbers: [168]
168,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 64:[60, 34], Operations: ['46-34=12', '46-12=34']
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,64 unequal: No Solution
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 64:[60, 58], Operations: ['46-34=12', '46+12=58']
Exploring Operation: 60-58=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 60*58=3480, Resulting Numbers: [3480]
3480,64 unequal: No Solution
Exploring Operation: 60+58=118, Resulting Numbers: [118]
118,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 64:[46, 5], Operations: ['46-34=12', '60/12=5']
Exploring Operation: 46*5=230, Resulting Numbers: [230]
230,64 unequal: No Solution
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,64 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 64:[46, 72], Operations: ['46-34=12', '60+12=72']
Exploring Operation: 46+72=118, Resulting Numbers: [118]
118,64 unequal: No Solution
Exploring Operation: 72-46=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 46*72=3312, Resulting Numbers: [3312]
3312,64 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: 64:[34, 32], Operations: ['60-46=14', '46-14=32']
Exploring Operation: 34*32=1088, Resulting Numbers: [1088]
1088,64 unequal: No Solution
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,64 unequal: No Solution
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Moving to Node #0,0,4
Current State: 64:[34, 0], Operations: ['46-46=0', '60*0=0']
Exploring Operation: 34-0=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 34*0=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 34+0=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[34, 60], Operations: ['60-46=14', '46+14=60']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 34*60=2040, Resulting Numbers: [2040]
2040,64 unequal: No Solution
Exploring Operation: 34+60=94, Resulting Numbers: [94]
94,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[60, 34], Operations: ['46-46=0', '34-0=34']
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,64 unequal: No Solution
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,64 unequal: No Solution
Moving to Node #0,1,3
Current State: 64:[14, 12], Operations: ['60-46=14', '46-34=12']
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[60, 34], Operations: ['46-46=0', '34+0=34']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,64 unequal: No Solution
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,64 unequal: No Solution
Moving to Node #0,0,3
Current State: 64:[34, 60], Operations: ['46-46=0', '60+0=60']
Exploring Operation: 34+60=94, Resulting Numbers: [94]
94,64 unequal: No Solution
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 34*60=2040, Resulting Numbers: [2040]
2040,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[60, 0], Operations: ['46-46=0', '34*0=0']
Exploring Operation: 60-0=60, Resulting Numbers: [60]
60,64 unequal: No Solution
Exploring Operation: 60*0=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 60+0=60, Resulting Numbers: [60]
60,64 unequal: No Solution
Moving to Node #0,1,4
Current State: 64:[14, 80], Operations: ['60-46=14', '34+46=80']
Exploring Operation: 80-14=66, Resulting Numbers: [66]
66,64 unequal: No Solution
Exploring Operation: 14*80=1120, Resulting Numbers: [1120]
1120,64 unequal: No Solution
Exploring Operation: 14+80=94, Resulting Numbers: [94]
94,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[46, 20], Operations: ['60-46=14', '34-14=20']
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,64 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,64 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
68,
75,
13,
75
] | 54 | [
"68-13=55",
"75/75=1",
"55-1=54"
] | Current State: 54:[68, 75, 13, 75], Operations: []
Exploring Operation: 68-13=55, Resulting Numbers: [75, 75, 55]
Generated Node #2: [75, 75, 55] from Operation: 68-13=55
Current State: 54:[75, 75, 55], Operations: ['68-13=55']
Exploring Operation: 75/75=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 75/75=1
Current State: 54:[55, 1], Operations: ['68-13=55', '75/75=1']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[68, 75, 13, 75], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [68, 13, 0]
Generated Node #0,0: 54:[68, 13, 0] Operation: 75-75=0
Exploring Operation: 75/75=1, Resulting Numbers: [68, 13, 1]
Generated Node #0,1: 54:[68, 13, 1] Operation: 75/75=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[68, 13, 1], Operations: ['75/75=1']
Exploring Operation: 68-1=67, Resulting Numbers: [13, 67]
Generated Node #0,1,0: 54:[13, 67] Operation: 68-1=67
Exploring Operation: 68-13=55, Resulting Numbers: [1, 55]
Generated Node #0,1,1: 54:[1, 55] Operation: 68-13=55
Moving to Node #0,1,1
Current State: 54:[1, 55], Operations: ['75/75=1', '68-13=55']
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,54 unequal: No Solution
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[68, 75, 13, 75], Operations: []
Exploring Operation: 75/75=1, Resulting Numbers: [68, 13, 1]
Generated Node #0,1: 54:[68, 13, 1] Operation: 75/75=1
Moving to Node #0,1
Current State: 54:[68, 13, 1], Operations: ['75/75=1']
Exploring Operation: 68-13=55, Resulting Numbers: [1, 55]
Generated Node #0,1,1: 54:[1, 55] Operation: 68-13=55
Moving to Node #0,1,1
Current State: 54:[1, 55], Operations: ['75/75=1', '68-13=55']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
61,
74,
8,
57
] | 78 | [
"74-61=13",
"8+57=65",
"13+65=78"
] | Current State: 78:[61, 74, 8, 57], Operations: []
Exploring Operation: 74-61=13, Resulting Numbers: [8, 57, 13]
Generated Node #2: [8, 57, 13] from Operation: 74-61=13
Current State: 78:[8, 57, 13], Operations: ['74-61=13']
Exploring Operation: 8+57=65, Resulting Numbers: [13, 65]
Generated Node #3: [13, 65] from Operation: 8+57=65
Current State: 78:[13, 65], Operations: ['74-61=13', '8+57=65']
Exploring Operation: 13+65=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[61, 74, 8, 57], Operations: []
Exploring Operation: 74-57=17, Resulting Numbers: [61, 8, 17]
Generated Node #0,0: 78:[61, 8, 17] Operation: 74-57=17
Exploring Operation: 61+8=69, Resulting Numbers: [74, 57, 69]
Generated Node #0,1: 78:[74, 57, 69] Operation: 61+8=69
Exploring Operation: 74-61=13, Resulting Numbers: [8, 57, 13]
Generated Node #0,2: 78:[8, 57, 13] Operation: 74-61=13
Exploring Operation: 61-57=4, Resulting Numbers: [74, 8, 4]
Generated Node #0,3: 78:[74, 8, 4] Operation: 61-57=4
Moving to Node #0,3
Current State: 78:[74, 8, 4], Operations: ['61-57=4']
Exploring Operation: 8/4=2, Resulting Numbers: [74, 2]
Generated Node #0,3,0: 78:[74, 2] Operation: 8/4=2
Exploring Operation: 8+4=12, Resulting Numbers: [74, 12]
Generated Node #0,3,1: 78:[74, 12] Operation: 8+4=12
Exploring Operation: 74+8=82, Resulting Numbers: [4, 82]
Generated Node #0,3,2: 78:[4, 82] Operation: 74+8=82
Exploring Operation: 74+4=78, Resulting Numbers: [8, 78]
Generated Node #0,3,3: 78:[8, 78] Operation: 74+4=78
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 78:[8, 78], Operations: ['61-57=4', '74+4=78']
Exploring Operation: 8*78=624, Resulting Numbers: [624]
624,78 unequal: No Solution
Exploring Operation: 78-8=70, Resulting Numbers: [70]
70,78 unequal: No Solution
Exploring Operation: 8+78=86, Resulting Numbers: [86]
86,78 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 #0,3,0
Current State: 78:[74, 2], Operations: ['61-57=4', '8/4=2']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,78 unequal: No Solution
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 74*2=148, Resulting Numbers: [148]
148,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 78:[74, 12], Operations: ['61-57=4', '8+4=12']
Exploring Operation: 74+12=86, Resulting Numbers: [86]
86,78 unequal: No Solution
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,78 unequal: No Solution
Exploring Operation: 74*12=888, Resulting Numbers: [888]
888,78 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 #0,3,2
Current State: 78:[4, 82], Operations: ['61-57=4', '74+8=82']
Exploring Operation: 4*82=328, Resulting Numbers: [328]
328,78 unequal: No Solution
Exploring Operation: 4+82=86, Resulting Numbers: [86]
86,78 unequal: No Solution
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[61, 74, 8, 57], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [74, 8, 4]
Generated Node #0,3: 78:[74, 8, 4] Operation: 61-57=4
Moving to Node #0,3
Current State: 78:[74, 8, 4], Operations: ['61-57=4']
Exploring Operation: 74+8=82, Resulting Numbers: [4, 82]
Generated Node #0,3,2: 78:[4, 82] Operation: 74+8=82
Moving to Node #0,3,2
Current State: 78:[4, 82], Operations: ['61-57=4', '74+8=82']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | sum_heuristic |
[
75,
28,
1,
47
] | 94 | [
"75-28=47",
"1*47=47",
"47+47=94"
] | Current State: 94:[75, 28, 1, 47], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [1, 47, 47]
Generated Node #2: [1, 47, 47] from Operation: 75-28=47
Current State: 94:[1, 47, 47], Operations: ['75-28=47']
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,94 equal: Goal Reached
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[75, 28, 1, 47], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [1, 47, 47]
Generated Node #0,0: 94:[1, 47, 47] Operation: 75-28=47
Exploring Operation: 75+28=103, Resulting Numbers: [1, 47, 103]
Generated Node #0,1: 94:[1, 47, 103] Operation: 75+28=103
Moving to Node #0,0
Current State: 94:[1, 47, 47], Operations: ['75-28=47']
Exploring Operation: 1*47=47, Resulting Numbers: [47, 47]
Generated Node #0,0,0: 94:[47, 47] Operation: 1*47=47
Exploring Operation: 47/1=47, Resulting Numbers: [47, 47]
Generated Node #0,0,1: 94:[47, 47] Operation: 47/1=47
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[47, 47], Operations: ['75-28=47', '1*47=47']
Exploring Operation: 47/47=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[75, 28, 1, 47], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [1, 47, 47]
Generated Node #0,0: 94:[1, 47, 47] Operation: 75-28=47
Moving to Node #0,0
Current State: 94:[1, 47, 47], Operations: ['75-28=47']
Exploring Operation: 1*47=47, Resulting Numbers: [47, 47]
Generated Node #0,0,0: 94:[47, 47] Operation: 1*47=47
Moving to Node #0,0,0
Current State: 94:[47, 47], Operations: ['75-28=47', '1*47=47']
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
10,
91,
12,
86
] | 83 | [
"10*91=910",
"86+910=996",
"996/12=83"
] | Current State: 83:[10, 91, 12, 86], Operations: []
Exploring Operation: 10*91=910, Resulting Numbers: [12, 86, 910]
Generated Node #2: [12, 86, 910] from Operation: 10*91=910
Current State: 83:[12, 86, 910], Operations: ['10*91=910']
Exploring Operation: 86+910=996, Resulting Numbers: [12, 996]
Generated Node #3: [12, 996] from Operation: 86+910=996
Current State: 83:[12, 996], Operations: ['10*91=910', '86+910=996']
Exploring Operation: 996/12=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[10, 91, 12, 86], Operations: []
Exploring Operation: 91-10=81, Resulting Numbers: [12, 86, 81]
Generated Node #0,0: 83:[12, 86, 81] Operation: 91-10=81
Exploring Operation: 10*12=120, Resulting Numbers: [91, 86, 120]
Generated Node #0,1: 83:[91, 86, 120] Operation: 10*12=120
Exploring Operation: 10+12=22, Resulting Numbers: [91, 86, 22]
Generated Node #0,2: 83:[91, 86, 22] Operation: 10+12=22
Moving to Node #0,1
Current State: 83:[91, 86, 120], Operations: ['10*12=120']
Exploring Operation: 120-86=34, Resulting Numbers: [91, 34]
Generated Node #0,1,0: 83:[91, 34] Operation: 120-86=34
Exploring Operation: 120-91=29, Resulting Numbers: [86, 29]
Generated Node #0,1,1: 83:[86, 29] Operation: 120-91=29
Exploring Operation: 91-86=5, Resulting Numbers: [120, 5]
Generated Node #0,1,2: 83:[120, 5] Operation: 91-86=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[91, 34], Operations: ['10*12=120', '120-86=34']
Exploring Operation: 91*34=3094, Resulting Numbers: [3094]
3094,83 unequal: No Solution
Exploring Operation: 91-34=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 91+34=125, Resulting Numbers: [125]
125,83 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:[86, 29], Operations: ['10*12=120', '120-91=29']
Exploring Operation: 86+29=115, Resulting Numbers: [115]
115,83 unequal: No Solution
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 86*29=2494, Resulting Numbers: [2494]
2494,83 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:[120, 5], Operations: ['10*12=120', '91-86=5']
Exploring Operation: 120-5=115, Resulting Numbers: [115]
115,83 unequal: No Solution
Exploring Operation: 120/5=24, Resulting Numbers: [24]
24,83 unequal: No Solution
Exploring Operation: 120+5=125, Resulting Numbers: [125]
125,83 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: 83:[91, 86, 22], Operations: ['10+12=22']
Exploring Operation: 86-22=64, Resulting Numbers: [91, 64]
Generated Node #0,2,0: 83:[91, 64] Operation: 86-22=64
Exploring Operation: 91-22=69, Resulting Numbers: [86, 69]
Generated Node #0,2,1: 83:[86, 69] Operation: 91-22=69
Exploring Operation: 91+22=113, Resulting Numbers: [86, 113]
Generated Node #0,2,2: 83:[86, 113] Operation: 91+22=113
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 83:[86, 69], Operations: ['10+12=22', '91-22=69']
Exploring Operation: 86*69=5934, Resulting Numbers: [5934]
5934,83 unequal: No Solution
Exploring Operation: 86+69=155, Resulting Numbers: [155]
155,83 unequal: No Solution
Exploring Operation: 86-69=17, Resulting Numbers: [17]
17,83 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 #0,2,0
Current State: 83:[91, 64], Operations: ['10+12=22', '86-22=64']
Exploring Operation: 91-64=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 91*64=5824, Resulting Numbers: [5824]
5824,83 unequal: No Solution
Exploring Operation: 91+64=155, Resulting Numbers: [155]
155,83 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 #0,2,2
Current State: 83:[86, 113], Operations: ['10+12=22', '91+22=113']
Exploring Operation: 86+113=199, Resulting Numbers: [199]
199,83 unequal: No Solution
Exploring Operation: 86*113=9718, Resulting Numbers: [9718]
9718,83 unequal: No Solution
Exploring Operation: 113-86=27, Resulting Numbers: [27]
27,83 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: 83:[12, 86, 81], Operations: ['91-10=81']
Exploring Operation: 86-12=74, Resulting Numbers: [81, 74]
Generated Node #0,0,0: 83:[81, 74] Operation: 86-12=74
Exploring Operation: 12+81=93, Resulting Numbers: [86, 93]
Generated Node #0,0,1: 83:[86, 93] Operation: 12+81=93
Exploring Operation: 12+86=98, Resulting Numbers: [81, 98]
Generated Node #0,0,2: 83:[81, 98] Operation: 12+86=98
Moving to Node #0,0,0
Current State: 83:[81, 74], Operations: ['91-10=81', '86-12=74']
Exploring Operation: 81-74=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Exploring Operation: 81+74=155, Resulting Numbers: [155]
155,83 unequal: No Solution
Exploring Operation: 81*74=5994, Resulting Numbers: [5994]
5994,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[86, 93], Operations: ['91-10=81', '12+81=93']
Exploring Operation: 86*93=7998, Resulting Numbers: [7998]
7998,83 unequal: No Solution
Exploring Operation: 93-86=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Exploring Operation: 86+93=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[81, 98], Operations: ['91-10=81', '12+86=98']
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,83 unequal: No Solution
Exploring Operation: 81+98=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Exploring Operation: 81*98=7938, Resulting Numbers: [7938]
7938,83 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
35,
80,
30,
55
] | 40 | [
"80-35=45",
"30+55=85",
"85-45=40"
] | Current State: 40:[35, 80, 30, 55], Operations: []
Exploring Operation: 80-35=45, Resulting Numbers: [30, 55, 45]
Generated Node #2: [30, 55, 45] from Operation: 80-35=45
Current State: 40:[30, 55, 45], Operations: ['80-35=45']
Exploring Operation: 30+55=85, Resulting Numbers: [45, 85]
Generated Node #3: [45, 85] from Operation: 30+55=85
Current State: 40:[45, 85], Operations: ['80-35=45', '30+55=85']
Exploring Operation: 85-45=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[35, 80, 30, 55], Operations: []
Exploring Operation: 80-55=25, Resulting Numbers: [35, 30, 25]
Generated Node #0,0: 40:[35, 30, 25] Operation: 80-55=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[35, 30, 25], Operations: ['80-55=25']
Exploring Operation: 35-30=5, Resulting Numbers: [25, 5]
Generated Node #0,0,0: 40:[25, 5] Operation: 35-30=5
Moving to Node #0,0,0
Current State: 40:[25, 5], Operations: ['80-55=25', '35-30=5']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
35,
69,
29,
56
] | 41 | [
"35*56=1960",
"69*29=2001",
"2001-1960=41"
] | Current State: 41:[35, 69, 29, 56], Operations: []
Exploring Operation: 35*56=1960, Resulting Numbers: [69, 29, 1960]
Generated Node #2: [69, 29, 1960] from Operation: 35*56=1960
Current State: 41:[69, 29, 1960], Operations: ['35*56=1960']
Exploring Operation: 69*29=2001, Resulting Numbers: [1960, 2001]
Generated Node #3: [1960, 2001] from Operation: 69*29=2001
Current State: 41:[1960, 2001], Operations: ['35*56=1960', '69*29=2001']
Exploring Operation: 2001-1960=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[35, 69, 29, 56], Operations: []
Exploring Operation: 69-29=40, Resulting Numbers: [35, 56, 40]
Generated Node #0,0: 41:[35, 56, 40] Operation: 69-29=40
Exploring Operation: 69-35=34, Resulting Numbers: [29, 56, 34]
Generated Node #0,1: 41:[29, 56, 34] Operation: 69-35=34
Moving to Node #0,0
Current State: 41:[35, 56, 40], Operations: ['69-29=40']
Exploring Operation: 56-40=16, Resulting Numbers: [35, 16]
Generated Node #0,0,0: 41:[35, 16] Operation: 56-40=16
Exploring Operation: 56-35=21, Resulting Numbers: [40, 21]
Generated Node #0,0,1: 41:[40, 21] Operation: 56-35=21
Moving to Node #0,1
Current State: 41:[29, 56, 34], Operations: ['69-35=34']
Exploring Operation: 56-29=27, Resulting Numbers: [34, 27]
Generated Node #0,1,0: 41:[34, 27] Operation: 56-29=27
Exploring Operation: 56-34=22, Resulting Numbers: [29, 22]
Generated Node #0,1,1: 41:[29, 22] Operation: 56-34=22
Moving to Node #0,0,1
Current State: 41:[40, 21], Operations: ['69-29=40', '56-35=21']
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,41 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[34, 27], Operations: ['69-35=34', '56-29=27']
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,41 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[35, 16], Operations: ['69-29=40', '56-40=16']
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,41 unequal: No Solution
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[29, 22], Operations: ['69-35=34', '56-34=22']
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Exploring Operation: 29+22=51, Resulting Numbers: [51]
51,41 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
71,
42,
29,
79
] | 79 | [
"71-42=29",
"29+79=108",
"108-29=79"
] | Current State: 79:[71, 42, 29, 79], Operations: []
Exploring Operation: 71-42=29, Resulting Numbers: [29, 79, 29]
Generated Node #2: [29, 79, 29] from Operation: 71-42=29
Current State: 79:[29, 79, 29], Operations: ['71-42=29']
Exploring Operation: 29+79=108, Resulting Numbers: [108]
108,79 equal: Goal Reached
Exploring Operation: 108-29=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[71, 42, 29, 79], Operations: []
Exploring Operation: 71+29=100, Resulting Numbers: [42, 79, 100]
Generated Node #0,0: 79:[42, 79, 100] Operation: 71+29=100
Exploring Operation: 42+29=71, Resulting Numbers: [71, 79, 71]
Generated Node #0,1: 79:[71, 79, 71] Operation: 42+29=71
Moving to Node #0,1
Current State: 79:[71, 79, 71], Operations: ['42+29=71']
Exploring Operation: 71+71=142, Resulting Numbers: [79, 142]
Generated Node #0,1,0: 79:[79, 142] Operation: 71+71=142
Exploring Operation: 71/71=1, Resulting Numbers: [79, 1]
Generated Node #0,1,1: 79:[79, 1] Operation: 71/71=1
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[79, 142], Operations: ['42+29=71', '71+71=142']
Exploring Operation: 142-79=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Exploring Operation: 79+142=221, Resulting Numbers: [221]
221,79 unequal: No Solution
No 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: 79:[79, 1], Operations: ['42+29=71', '71/71=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[71, 42, 29, 79], Operations: []
Exploring Operation: 42+29=71, Resulting Numbers: [71, 79, 71]
Generated Node #0,1: 79:[71, 79, 71] Operation: 42+29=71
Moving to Node #0,1
Current State: 79:[71, 79, 71], Operations: ['42+29=71']
Exploring Operation: 71/71=1, Resulting Numbers: [79, 1]
Generated Node #0,1,1: 79:[79, 1] Operation: 71/71=1
Moving to Node #0,1,1
Current State: 79:[79, 1], Operations: ['42+29=71', '71/71=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
4,
63,
31,
49
] | 49 | [
"4+63=67",
"49-31=18",
"67-18=49"
] | Current State: 49:[4, 63, 31, 49], Operations: []
Exploring Operation: 4+63=67, Resulting Numbers: [31, 49, 67]
Generated Node #2: [31, 49, 67] from Operation: 4+63=67
Current State: 49:[31, 49, 67], Operations: ['4+63=67']
Exploring Operation: 49-31=18, Resulting Numbers: [67, 18]
Generated Node #3: [67, 18] from Operation: 49-31=18
Current State: 49:[67, 18], Operations: ['4+63=67', '49-31=18']
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[4, 63, 31, 49], Operations: []
Exploring Operation: 63-4=59, Resulting Numbers: [31, 49, 59]
Generated Node #0,0: 49:[31, 49, 59] Operation: 63-4=59
Exploring Operation: 63-31=32, Resulting Numbers: [4, 49, 32]
Generated Node #0,1: 49:[4, 49, 32] Operation: 63-31=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[4, 49, 32], Operations: ['63-31=32']
Exploring Operation: 32/4=8, Resulting Numbers: [49, 8]
Generated Node #0,1,0: 49:[49, 8] Operation: 32/4=8
Exploring Operation: 4+32=36, Resulting Numbers: [49, 36]
Generated Node #0,1,1: 49:[49, 36] Operation: 4+32=36
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[49, 8], Operations: ['63-31=32', '32/4=8']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,49 unequal: No Solution
Exploring Operation: 49+8=57, Resulting Numbers: [57]
57,49 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 #0,1,1
Current State: 49:[49, 36], Operations: ['63-31=32', '4+32=36']
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Exploring Operation: 49+36=85, Resulting Numbers: [85]
85,49 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 #0,0
Current State: 49:[31, 49, 59], Operations: ['63-4=59']
Exploring Operation: 49-31=18, Resulting Numbers: [59, 18]
Generated Node #0,0,0: 49:[59, 18] Operation: 49-31=18
Exploring Operation: 59-31=28, Resulting Numbers: [49, 28]
Generated Node #0,0,1: 49:[49, 28] Operation: 59-31=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[59, 18], Operations: ['63-4=59', '49-31=18']
Exploring Operation: 59-18=41, Resulting Numbers: [41]
41,49 unequal: No Solution
Exploring Operation: 59+18=77, Resulting Numbers: [77]
77,49 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:[49, 28], Operations: ['63-4=59', '59-31=28']
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Exploring Operation: 49+28=77, Resulting Numbers: [77]
77,49 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_2 | mult_heuristic |
[
55,
63,
4,
52
] | 56 | [
"63-55=8",
"52-4=48",
"8+48=56"
] | Current State: 56:[55, 63, 4, 52], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [4, 52, 8]
Generated Node #2: [4, 52, 8] from Operation: 63-55=8
Current State: 56:[4, 52, 8], Operations: ['63-55=8']
Exploring Operation: 52-4=48, Resulting Numbers: [8, 48]
Generated Node #3: [8, 48] from Operation: 52-4=48
Current State: 56:[8, 48], Operations: ['63-55=8', '52-4=48']
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[55, 63, 4, 52], Operations: []
Exploring Operation: 4+52=56, Resulting Numbers: [55, 63, 56]
Generated Node #0,0: 56:[55, 63, 56] Operation: 4+52=56
Exploring Operation: 63-4=59, Resulting Numbers: [55, 52, 59]
Generated Node #0,1: 56:[55, 52, 59] Operation: 63-4=59
Exploring Operation: 63-55=8, Resulting Numbers: [4, 52, 8]
Generated Node #0,2: 56:[4, 52, 8] Operation: 63-55=8
Exploring Operation: 63-52=11, Resulting Numbers: [55, 4, 11]
Generated Node #0,3: 56:[55, 4, 11] Operation: 63-52=11
Exploring Operation: 55-52=3, Resulting Numbers: [63, 4, 3]
Generated Node #0,4: 56:[63, 4, 3] Operation: 55-52=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[4, 52, 8], Operations: ['63-55=8']
Exploring Operation: 52+8=60, Resulting Numbers: [4, 60]
Generated Node #0,2,0: 56:[4, 60] Operation: 52+8=60
Exploring Operation: 8/4=2, Resulting Numbers: [52, 2]
Generated Node #0,2,1: 56:[52, 2] Operation: 8/4=2
Exploring Operation: 4+52=56, Resulting Numbers: [8, 56]
Generated Node #0,2,2: 56:[8, 56] Operation: 4+52=56
Exploring Operation: 52/4=13, Resulting Numbers: [8, 13]
Generated Node #0,2,3: 56:[8, 13] Operation: 52/4=13
Exploring Operation: 8-4=4, Resulting Numbers: [52, 4]
Generated Node #0,2,4: 56:[52, 4] Operation: 8-4=4
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 56:[8, 56], Operations: ['63-55=8', '4+52=56']
Exploring Operation: 8*56=448, Resulting Numbers: [448]
448,56 unequal: No Solution
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,56 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 56:[8, 13], Operations: ['63-55=8', '52/4=13']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,56 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 56:[4, 60], Operations: ['63-55=8', '52+8=60']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[55, 63, 4, 52], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [4, 52, 8]
Generated Node #0,2: 56:[4, 52, 8] Operation: 63-55=8
Moving to Node #0,2
Current State: 56:[4, 52, 8], Operations: ['63-55=8']
Exploring Operation: 52+8=60, Resulting Numbers: [4, 60]
Generated Node #0,2,0: 56:[4, 60] Operation: 52+8=60
Moving to Node #0,2,0
Current State: 56:[4, 60], Operations: ['63-55=8', '52+8=60']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
55,
37,
60,
12
] | 40 | [
"55-37=18",
"60*12=720",
"720/18=40"
] | Current State: 40:[55, 37, 60, 12], Operations: []
Exploring Operation: 55-37=18, Resulting Numbers: [60, 12, 18]
Generated Node #2: [60, 12, 18] from Operation: 55-37=18
Current State: 40:[60, 12, 18], Operations: ['55-37=18']
Exploring Operation: 60*12=720, Resulting Numbers: [18, 720]
Generated Node #3: [18, 720] from Operation: 60*12=720
Current State: 40:[18, 720], Operations: ['55-37=18', '60*12=720']
Exploring Operation: 720/18=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[55, 37, 60, 12], Operations: []
Exploring Operation: 60-37=23, Resulting Numbers: [55, 12, 23]
Generated Node #0,0: 40:[55, 12, 23] Operation: 60-37=23
Exploring Operation: 55-12=43, Resulting Numbers: [37, 60, 43]
Generated Node #0,1: 40:[37, 60, 43] Operation: 55-12=43
Exploring Operation: 60-55=5, Resulting Numbers: [37, 12, 5]
Generated Node #0,2: 40:[37, 12, 5] Operation: 60-55=5
Exploring Operation: 60/12=5, Resulting Numbers: [55, 37, 5]
Generated Node #0,3: 40:[55, 37, 5] Operation: 60/12=5
Exploring Operation: 55-37=18, Resulting Numbers: [60, 12, 18]
Generated Node #0,4: 40:[60, 12, 18] Operation: 55-37=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[37, 12, 5], Operations: ['60-55=5']
Exploring Operation: 12+5=17, Resulting Numbers: [37, 17]
Generated Node #0,2,0: 40:[37, 17] Operation: 12+5=17
Exploring Operation: 37-12=25, Resulting Numbers: [5, 25]
Generated Node #0,2,1: 40:[5, 25] Operation: 37-12=25
Exploring Operation: 12-5=7, Resulting Numbers: [37, 7]
Generated Node #0,2,2: 40:[37, 7] Operation: 12-5=7
Exploring Operation: 37+12=49, Resulting Numbers: [5, 49]
Generated Node #0,2,3: 40:[5, 49] Operation: 37+12=49
Exploring Operation: 37+5=42, Resulting Numbers: [12, 42]
Generated Node #0,2,4: 40:[12, 42] Operation: 37+5=42
Moving to Node #0,2,2
Current State: 40:[37, 7], Operations: ['60-55=5', '12-5=7']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,40 unequal: No Solution
Exploring Operation: 37*7=259, Resulting Numbers: [259]
259,40 unequal: No Solution
Exploring Operation: 37+7=44, Resulting Numbers: [44]
44,40 unequal: No Solution
Moving to Node #0,2,4
Current State: 40:[12, 42], Operations: ['60-55=5', '37+5=42']
Exploring Operation: 12+42=54, Resulting Numbers: [54]
54,40 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,40 unequal: No Solution
Exploring Operation: 12*42=504, Resulting Numbers: [504]
504,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[5, 25], Operations: ['60-55=5', '37-12=25']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,40 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,40 unequal: No Solution
Exploring Operation: 5*25=125, Resulting Numbers: [125]
125,40 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[37, 17], Operations: ['60-55=5', '12+5=17']
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 37*17=629, Resulting Numbers: [629]
629,40 unequal: No Solution
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,40 unequal: No Solution
Moving to Node #0,2,3
Current State: 40:[5, 49], Operations: ['60-55=5', '37+12=49']
Exploring Operation: 5*49=245, Resulting Numbers: [245]
245,40 unequal: No Solution
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,40 unequal: No Solution
Exploring Operation: 5+49=54, Resulting Numbers: [54]
54,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[55, 37, 5], Operations: ['60/12=5']
Exploring Operation: 55-37=18, Resulting Numbers: [5, 18]
Generated Node #0,3,0: 40:[5, 18] Operation: 55-37=18
Exploring Operation: 55-5=50, Resulting Numbers: [37, 50]
Generated Node #0,3,1: 40:[37, 50] Operation: 55-5=50
Exploring Operation: 55+5=60, Resulting Numbers: [37, 60]
Generated Node #0,3,2: 40:[37, 60] Operation: 55+5=60
Exploring Operation: 37+5=42, Resulting Numbers: [55, 42]
Generated Node #0,3,3: 40:[55, 42] Operation: 37+5=42
Exploring Operation: 55/5=11, Resulting Numbers: [37, 11]
Generated Node #0,3,4: 40:[37, 11] Operation: 55/5=11
Moving to Node #0,3,0
Current State: 40:[5, 18], Operations: ['60/12=5', '55-37=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,40 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,40 unequal: No Solution
Moving to Node #0,3,4
Current State: 40:[37, 11], Operations: ['60/12=5', '55/5=11']
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,40 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,40 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Moving to Node #0,3,1
Current State: 40:[37, 50], Operations: ['60/12=5', '55-5=50']
Exploring Operation: 37*50=1850, Resulting Numbers: [1850]
1850,40 unequal: No Solution
Exploring Operation: 37+50=87, Resulting Numbers: [87]
87,40 unequal: No Solution
Exploring Operation: 50-37=13, Resulting Numbers: [13]
13,40 unequal: No Solution
Moving to Node #0,3,3
Current State: 40:[55, 42], Operations: ['60/12=5', '37+5=42']
Exploring Operation: 55*42=2310, Resulting Numbers: [2310]
2310,40 unequal: No Solution
Exploring Operation: 55+42=97, Resulting Numbers: [97]
97,40 unequal: No Solution
Exploring Operation: 55-42=13, Resulting Numbers: [13]
13,40 unequal: No Solution
Moving to Node #0,3,2
Current State: 40:[37, 60], Operations: ['60/12=5', '55+5=60']
Exploring Operation: 37+60=97, Resulting Numbers: [97]
97,40 unequal: No Solution
Exploring Operation: 37*60=2220, Resulting Numbers: [2220]
2220,40 unequal: No Solution
Exploring Operation: 60-37=23, Resulting Numbers: [23]
23,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[55, 12, 23], Operations: ['60-37=23']
Exploring Operation: 12+23=35, Resulting Numbers: [55, 35]
Generated Node #0,0,0: 40:[55, 35] Operation: 12+23=35
Exploring Operation: 55-12=43, Resulting Numbers: [23, 43]
Generated Node #0,0,1: 40:[23, 43] Operation: 55-12=43
Exploring Operation: 55-23=32, Resulting Numbers: [12, 32]
Generated Node #0,0,2: 40:[12, 32] Operation: 55-23=32
Exploring Operation: 23-12=11, Resulting Numbers: [55, 11]
Generated Node #0,0,3: 40:[55, 11] Operation: 23-12=11
Exploring Operation: 55+12=67, Resulting Numbers: [23, 67]
Generated Node #0,0,4: 40:[23, 67] Operation: 55+12=67
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 40:[23, 43], Operations: ['60-37=23', '55-12=43']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 23*43=989, Resulting Numbers: [989]
989,40 unequal: No Solution
Exploring Operation: 23+43=66, Resulting Numbers: [66]
66,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 40:[12, 32], Operations: ['60-37=23', '55-23=32']
Exploring Operation: 12*32=384, Resulting Numbers: [384]
384,40 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 40:[55, 11], Operations: ['60-37=23', '23-12=11']
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,40 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,40 unequal: No Solution
Exploring Operation: 55*11=605, Resulting Numbers: [605]
605,40 unequal: No Solution
Exploring Operation: 55+11=66, Resulting Numbers: [66]
66,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[55, 35], Operations: ['60-37=23', '12+23=35']
Exploring Operation: 55*35=1925, Resulting Numbers: [1925]
1925,40 unequal: No Solution
Exploring Operation: 55+35=90, Resulting Numbers: [90]
90,40 unequal: No Solution
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 40:[23, 67], Operations: ['60-37=23', '55+12=67']
Exploring Operation: 23*67=1541, Resulting Numbers: [1541]
1541,40 unequal: No Solution
Exploring Operation: 23+67=90, Resulting Numbers: [90]
90,40 unequal: No Solution
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 40:[60, 12, 18], Operations: ['55-37=18']
Exploring Operation: 60-18=42, Resulting Numbers: [12, 42]
Generated Node #0,4,0: 40:[12, 42] Operation: 60-18=42
Exploring Operation: 60-12=48, Resulting Numbers: [18, 48]
Generated Node #0,4,1: 40:[18, 48] Operation: 60-12=48
Exploring Operation: 60/12=5, Resulting Numbers: [18, 5]
Generated Node #0,4,2: 40:[18, 5] Operation: 60/12=5
Exploring Operation: 12+18=30, Resulting Numbers: [60, 30]
Generated Node #0,4,3: 40:[60, 30] Operation: 12+18=30
Exploring Operation: 18-12=6, Resulting Numbers: [60, 6]
Generated Node #0,4,4: 40:[60, 6] Operation: 18-12=6
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 40:[18, 5], Operations: ['55-37=18', '60/12=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,40 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 40:[12, 42], Operations: ['55-37=18', '60-18=42']
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,40 unequal: No Solution
Exploring Operation: 12+42=54, Resulting Numbers: [54]
54,40 unequal: No Solution
Exploring Operation: 12*42=504, Resulting Numbers: [504]
504,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 40:[18, 48], Operations: ['55-37=18', '60-12=48']
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,40 unequal: No Solution
Exploring Operation: 18*48=864, Resulting Numbers: [864]
864,40 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 40:[60, 6], Operations: ['55-37=18', '18-12=6']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,40 unequal: No Solution
Exploring Operation: 60*6=360, Resulting Numbers: [360]
360,40 unequal: No Solution
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 40:[60, 30], Operations: ['55-37=18', '12+18=30']
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,40 unequal: No Solution
Exploring Operation: 60*30=1800, Resulting Numbers: [1800]
1800,40 unequal: No Solution
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[37, 60, 43], Operations: ['55-12=43']
Exploring Operation: 37+43=80, Resulting Numbers: [60, 80]
Generated Node #0,1,0: 40:[60, 80] Operation: 37+43=80
Exploring Operation: 37+60=97, Resulting Numbers: [43, 97]
Generated Node #0,1,1: 40:[43, 97] Operation: 37+60=97
Exploring Operation: 60-37=23, Resulting Numbers: [43, 23]
Generated Node #0,1,2: 40:[43, 23] Operation: 60-37=23
Exploring Operation: 43-37=6, Resulting Numbers: [60, 6]
Generated Node #0,1,3: 40:[60, 6] Operation: 43-37=6
Exploring Operation: 60-43=17, Resulting Numbers: [37, 17]
Generated Node #0,1,4: 40:[37, 17] Operation: 60-43=17
Moving to Node #0,1,2
Current State: 40:[43, 23], Operations: ['55-12=43', '60-37=23']
Exploring Operation: 43*23=989, Resulting Numbers: [989]
989,40 unequal: No Solution
Exploring Operation: 43+23=66, Resulting Numbers: [66]
66,40 unequal: No Solution
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Moving to Node #0,1,4
Current State: 40:[37, 17], Operations: ['55-12=43', '60-43=17']
Exploring Operation: 37*17=629, Resulting Numbers: [629]
629,40 unequal: No Solution
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,40 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Moving to Node #0,1,3
Current State: 40:[60, 6], Operations: ['55-12=43', '43-37=6']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,40 unequal: No Solution
Exploring Operation: 60*6=360, Resulting Numbers: [360]
360,40 unequal: No Solution
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,40 unequal: No Solution
Moving to Node #0,1,0
Current State: 40:[60, 80], Operations: ['55-12=43', '37+43=80']
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 60*80=4800, Resulting Numbers: [4800]
4800,40 unequal: No Solution
Exploring Operation: 60+80=140, Resulting Numbers: [140]
140,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[43, 97], Operations: ['55-12=43', '37+60=97']
Exploring Operation: 43+97=140, Resulting Numbers: [140]
140,40 unequal: No Solution
Exploring Operation: 43*97=4171, Resulting Numbers: [4171]
4171,40 unequal: No Solution
Exploring Operation: 97-43=54, Resulting Numbers: [54]
54,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
13,
44,
61,
2
] | 53 | [
"13+44=57",
"2*57=114",
"114-61=53"
] | Current State: 53:[13, 44, 61, 2], Operations: []
Exploring Operation: 13+44=57, Resulting Numbers: [61, 2, 57]
Generated Node #2: [61, 2, 57] from Operation: 13+44=57
Current State: 53:[61, 2, 57], Operations: ['13+44=57']
Exploring Operation: 2*57=114, Resulting Numbers: [61, 114]
Generated Node #3: [61, 114] from Operation: 2*57=114
Current State: 53:[61, 114], Operations: ['13+44=57', '2*57=114']
Exploring Operation: 114-61=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[13, 44, 61, 2], Operations: []
Exploring Operation: 13+2=15, Resulting Numbers: [44, 61, 15]
Generated Node #0,0: 53:[44, 61, 15] Operation: 13+2=15
Exploring Operation: 13*2=26, Resulting Numbers: [44, 61, 26]
Generated Node #0,1: 53:[44, 61, 26] Operation: 13*2=26
Moving to Node #0,1
Current State: 53:[44, 61, 26], Operations: ['13*2=26']
Exploring Operation: 44+26=70, Resulting Numbers: [61, 70]
Generated Node #0,1,0: 53:[61, 70] Operation: 44+26=70
Exploring Operation: 61-26=35, Resulting Numbers: [44, 35]
Generated Node #0,1,1: 53:[44, 35] Operation: 61-26=35
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[61, 70], Operations: ['13*2=26', '44+26=70']
Exploring Operation: 61+70=131, Resulting Numbers: [131]
131,53 unequal: No Solution
Exploring Operation: 70-61=9, Resulting Numbers: [9]
9,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[44, 35], Operations: ['13*2=26', '61-26=35']
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,53 unequal: No Solution
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,53 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: 53:[44, 61, 15], Operations: ['13+2=15']
Exploring Operation: 61-15=46, Resulting Numbers: [44, 46]
Generated Node #0,0,0: 53:[44, 46] Operation: 61-15=46
Exploring Operation: 44+15=59, Resulting Numbers: [61, 59]
Generated Node #0,0,1: 53:[61, 59] Operation: 44+15=59
Moving to Node #0,0,1
Current State: 53:[61, 59], Operations: ['13+2=15', '44+15=59']
Exploring Operation: 61-59=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 61+59=120, Resulting Numbers: [120]
120,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[44, 46], Operations: ['13+2=15', '61-15=46']
Exploring Operation: 44+46=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Exploring Operation: 46-44=2, Resulting Numbers: [2]
2,53 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
75,
1,
65,
4
] | 59 | [
"65-1=64",
"64/4=16",
"75-16=59"
] | Current State: 59:[75, 1, 65, 4], Operations: []
Exploring Operation: 65-1=64, Resulting Numbers: [75, 4, 64]
Generated Node #2: [75, 4, 64] from Operation: 65-1=64
Current State: 59:[75, 4, 64], Operations: ['65-1=64']
Exploring Operation: 64/4=16, Resulting Numbers: [75, 16]
Generated Node #3: [75, 16] from Operation: 64/4=16
Current State: 59:[75, 16], Operations: ['65-1=64', '64/4=16']
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[75, 1, 65, 4], Operations: []
Exploring Operation: 75-4=71, Resulting Numbers: [1, 65, 71]
Generated Node #0,0: 59:[1, 65, 71] Operation: 75-4=71
Exploring Operation: 75-1=74, Resulting Numbers: [65, 4, 74]
Generated Node #0,1: 59:[65, 4, 74] Operation: 75-1=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[1, 65, 71], Operations: ['75-4=71']
Exploring Operation: 71-1=70, Resulting Numbers: [65, 70]
Generated Node #0,0,0: 59:[65, 70] Operation: 71-1=70
Exploring Operation: 65-1=64, Resulting Numbers: [71, 64]
Generated Node #0,0,1: 59:[71, 64] Operation: 65-1=64
Moving to Node #0,0,0
Current State: 59:[65, 70], Operations: ['75-4=71', '71-1=70']
Exploring Operation: 65+70=135, Resulting Numbers: [135]
135,59 unequal: No Solution
Exploring Operation: 70-65=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[71, 64], Operations: ['75-4=71', '65-1=64']
Exploring Operation: 71+64=135, Resulting Numbers: [135]
135,59 unequal: No Solution
Exploring Operation: 71-64=7, Resulting Numbers: [7]
7,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[65, 4, 74], Operations: ['75-1=74']
Exploring Operation: 74-4=70, Resulting Numbers: [65, 70]
Generated Node #0,1,0: 59:[65, 70] Operation: 74-4=70
Exploring Operation: 65-4=61, Resulting Numbers: [74, 61]
Generated Node #0,1,1: 59:[74, 61] Operation: 65-4=61
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[65, 70], Operations: ['75-1=74', '74-4=70']
Exploring Operation: 70-65=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 65+70=135, Resulting Numbers: [135]
135,59 unequal: No Solution
No 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: 59:[74, 61], Operations: ['75-1=74', '65-4=61']
Exploring Operation: 74+61=135, Resulting Numbers: [135]
135,59 unequal: No Solution
Exploring Operation: 74-61=13, Resulting Numbers: [13]
13,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
22,
2,
42,
96
] | 74 | [
"22-2=20",
"96-42=54",
"20+54=74"
] | Current State: 74:[22, 2, 42, 96], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [42, 96, 20]
Generated Node #2: [42, 96, 20] from Operation: 22-2=20
Current State: 74:[42, 96, 20], Operations: ['22-2=20']
Exploring Operation: 96-42=54, Resulting Numbers: [20, 54]
Generated Node #3: [20, 54] from Operation: 96-42=54
Current State: 74:[20, 54], Operations: ['22-2=20', '96-42=54']
Exploring Operation: 20+54=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[22, 2, 42, 96], Operations: []
Exploring Operation: 96-22=74, Resulting Numbers: [2, 42, 74]
Generated Node #0,0: 74:[2, 42, 74] Operation: 96-22=74
Exploring Operation: 96/2=48, Resulting Numbers: [22, 42, 48]
Generated Node #0,1: 74:[22, 42, 48] Operation: 96/2=48
Moving to Node #0,0
Current State: 74:[2, 42, 74], Operations: ['96-22=74']
Exploring Operation: 42-2=40, Resulting Numbers: [74, 40]
Generated Node #0,0,0: 74:[74, 40] Operation: 42-2=40
Exploring Operation: 74/2=37, Resulting Numbers: [42, 37]
Generated Node #0,0,1: 74:[42, 37] Operation: 74/2=37
Moving to Node #0,1
Current State: 74:[22, 42, 48], Operations: ['96/2=48']
Exploring Operation: 22+48=70, Resulting Numbers: [42, 70]
Generated Node #0,1,0: 74:[42, 70] Operation: 22+48=70
Exploring Operation: 48-22=26, Resulting Numbers: [42, 26]
Generated Node #0,1,1: 74:[42, 26] Operation: 48-22=26
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[42, 70], Operations: ['96/2=48', '22+48=70']
Exploring Operation: 70-42=28, Resulting Numbers: [28]
28,74 unequal: No Solution
Exploring Operation: 42+70=112, Resulting Numbers: [112]
112,74 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 #0,1,1
Current State: 74:[42, 26], Operations: ['96/2=48', '48-22=26']
Exploring Operation: 42+26=68, Resulting Numbers: [68]
68,74 unequal: No Solution
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,74 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: 74:[74, 40], Operations: ['96-22=74', '42-2=40']
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,74 unequal: No Solution
Exploring Operation: 74+40=114, Resulting Numbers: [114]
114,74 unequal: No Solution
Moving to Node #0,0,1
Current State: 74:[42, 37], Operations: ['96-22=74', '74/2=37']
Exploring Operation: 42+37=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Exploring Operation: 42-37=5, Resulting Numbers: [5]
5,74 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
9,
92,
3,
45
] | 74 | [
"9*3=27",
"92-45=47",
"27+47=74"
] | Current State: 74:[9, 92, 3, 45], Operations: []
Exploring Operation: 9*3=27, Resulting Numbers: [92, 45, 27]
Generated Node #2: [92, 45, 27] from Operation: 9*3=27
Current State: 74:[92, 45, 27], Operations: ['9*3=27']
Exploring Operation: 92-45=47, Resulting Numbers: [27, 47]
Generated Node #3: [27, 47] from Operation: 92-45=47
Current State: 74:[27, 47], Operations: ['9*3=27', '92-45=47']
Exploring Operation: 27+47=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[9, 92, 3, 45], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [92, 3, 5]
Generated Node #0,0: 74:[92, 3, 5] Operation: 45/9=5
Exploring Operation: 92-9=83, Resulting Numbers: [3, 45, 83]
Generated Node #0,1: 74:[3, 45, 83] Operation: 92-9=83
Exploring Operation: 45-9=36, Resulting Numbers: [92, 3, 36]
Generated Node #0,2: 74:[92, 3, 36] Operation: 45-9=36
Exploring Operation: 92-45=47, Resulting Numbers: [9, 3, 47]
Generated Node #0,3: 74:[9, 3, 47] Operation: 92-45=47
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[3, 45, 83], Operations: ['92-9=83']
Exploring Operation: 3+45=48, Resulting Numbers: [83, 48]
Generated Node #0,1,0: 74:[83, 48] Operation: 3+45=48
Exploring Operation: 83-3=80, Resulting Numbers: [45, 80]
Generated Node #0,1,1: 74:[45, 80] Operation: 83-3=80
Exploring Operation: 83-45=38, Resulting Numbers: [3, 38]
Generated Node #0,1,2: 74:[3, 38] Operation: 83-45=38
Exploring Operation: 45-3=42, Resulting Numbers: [83, 42]
Generated Node #0,1,3: 74:[83, 42] Operation: 45-3=42
Moving to Node #0,1,2
Current State: 74:[3, 38], Operations: ['92-9=83', '83-45=38']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,74 unequal: No Solution
Moving to Node #0,1,3
Current State: 74:[83, 42], Operations: ['92-9=83', '45-3=42']
Exploring Operation: 83*42=3486, Resulting Numbers: [3486]
3486,74 unequal: No Solution
Exploring Operation: 83+42=125, Resulting Numbers: [125]
125,74 unequal: No Solution
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[45, 80], Operations: ['92-9=83', '83-3=80']
Exploring Operation: 45+80=125, Resulting Numbers: [125]
125,74 unequal: No Solution
Exploring Operation: 80-45=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 45*80=3600, Resulting Numbers: [3600]
3600,74 unequal: No Solution
Moving to Node #0,1,0
Current State: 74:[83, 48], Operations: ['92-9=83', '3+45=48']
Exploring Operation: 83*48=3984, Resulting Numbers: [3984]
3984,74 unequal: No Solution
Exploring Operation: 83-48=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 83+48=131, Resulting Numbers: [131]
131,74 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 #0,3
Current State: 74:[9, 3, 47], Operations: ['92-45=47']
Exploring Operation: 9/3=3, Resulting Numbers: [47, 3]
Generated Node #0,3,0: 74:[47, 3] Operation: 9/3=3
Exploring Operation: 47-3=44, Resulting Numbers: [9, 44]
Generated Node #0,3,1: 74:[9, 44] Operation: 47-3=44
Exploring Operation: 9-3=6, Resulting Numbers: [47, 6]
Generated Node #0,3,2: 74:[47, 6] Operation: 9-3=6
Exploring Operation: 47-9=38, Resulting Numbers: [3, 38]
Generated Node #0,3,3: 74:[3, 38] Operation: 47-9=38
Moving to Node #0,3,3
Current State: 74:[3, 38], Operations: ['92-45=47', '47-9=38']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,74 unequal: No Solution
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Moving to Node #0,3,0
Current State: 74:[47, 3], Operations: ['92-45=47', '9/3=3']
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,74 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,74 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,74 unequal: No Solution
Moving to Node #0,3,2
Current State: 74:[47, 6], Operations: ['92-45=47', '9-3=6']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Exploring Operation: 47*6=282, Resulting Numbers: [282]
282,74 unequal: No Solution
Moving to Node #0,3,1
Current State: 74:[9, 44], Operations: ['92-45=47', '47-3=44']
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,74 unequal: No Solution
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,74 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 #0,2
Current State: 74:[92, 3, 36], Operations: ['45-9=36']
Exploring Operation: 3+36=39, Resulting Numbers: [92, 39]
Generated Node #0,2,0: 74:[92, 39] Operation: 3+36=39
Exploring Operation: 92-36=56, Resulting Numbers: [3, 56]
Generated Node #0,2,1: 74:[3, 56] Operation: 92-36=56
Exploring Operation: 92+3=95, Resulting Numbers: [36, 95]
Generated Node #0,2,2: 74:[36, 95] Operation: 92+3=95
Exploring Operation: 92-3=89, Resulting Numbers: [36, 89]
Generated Node #0,2,3: 74:[36, 89] Operation: 92-3=89
Moving to Node #0,2,3
Current State: 74:[36, 89], Operations: ['45-9=36', '92-3=89']
Exploring Operation: 36*89=3204, Resulting Numbers: [3204]
3204,74 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Exploring Operation: 36+89=125, Resulting Numbers: [125]
125,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[3, 56], Operations: ['45-9=36', '92-36=56']
Exploring Operation: 3*56=168, Resulting Numbers: [168]
168,74 unequal: No Solution
Exploring Operation: 3+56=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Moving to Node #0,2,0
Current State: 74:[92, 39], Operations: ['45-9=36', '3+36=39']
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Exploring Operation: 92+39=131, Resulting Numbers: [131]
131,74 unequal: No Solution
Exploring Operation: 92*39=3588, Resulting Numbers: [3588]
3588,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[36, 95], Operations: ['45-9=36', '92+3=95']
Exploring Operation: 36+95=131, Resulting Numbers: [131]
131,74 unequal: No Solution
Exploring Operation: 36*95=3420, Resulting Numbers: [3420]
3420,74 unequal: No Solution
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,74 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:[92, 3, 5], Operations: ['45/9=5']
Exploring Operation: 5-3=2, Resulting Numbers: [92, 2]
Generated Node #0,0,0: 74:[92, 2] Operation: 5-3=2
Exploring Operation: 92+3=95, Resulting Numbers: [5, 95]
Generated Node #0,0,1: 74:[5, 95] Operation: 92+3=95
Exploring Operation: 92-3=89, Resulting Numbers: [5, 89]
Generated Node #0,0,2: 74:[5, 89] Operation: 92-3=89
Exploring Operation: 92-5=87, Resulting Numbers: [3, 87]
Generated Node #0,0,3: 74:[3, 87] Operation: 92-5=87
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 74:[3, 87], Operations: ['45/9=5', '92-5=87']
Exploring Operation: 3+87=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,74 unequal: No Solution
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,74 unequal: No Solution
Exploring Operation: 3*87=261, Resulting Numbers: [261]
261,74 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:[92, 2], Operations: ['45/9=5', '5-3=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,74 unequal: No Solution
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 92*2=184, Resulting Numbers: [184]
184,74 unequal: No Solution
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,74 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, 89], Operations: ['45/9=5', '92-3=89']
Exploring Operation: 5*89=445, Resulting Numbers: [445]
445,74 unequal: No Solution
Exploring Operation: 5+89=94, Resulting Numbers: [94]
94,74 unequal: No Solution
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,74 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 #0,0,1
Current State: 74:[5, 95], Operations: ['45/9=5', '92+3=95']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 5*95=475, Resulting Numbers: [475]
475,74 unequal: No Solution
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Exploring Operation: 5+95=100, Resulting Numbers: [100]
100,74 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_4 | sum_heuristic |
[
72,
5,
36,
48
] | 30 | [
"72*5=360",
"48-36=12",
"360/12=30"
] | Current State: 30:[72, 5, 36, 48], Operations: []
Exploring Operation: 72*5=360, Resulting Numbers: [36, 48, 360]
Generated Node #2: [36, 48, 360] from Operation: 72*5=360
Current State: 30:[36, 48, 360], Operations: ['72*5=360']
Exploring Operation: 48-36=12, Resulting Numbers: [360, 12]
Generated Node #3: [360, 12] from Operation: 48-36=12
Current State: 30:[360, 12], Operations: ['72*5=360', '48-36=12']
Exploring Operation: 360/12=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[72, 5, 36, 48], Operations: []
Exploring Operation: 72-48=24, Resulting Numbers: [5, 36, 24]
Generated Node #0,0: 30:[5, 36, 24] Operation: 72-48=24
Moving to Node #0,0
Current State: 30:[5, 36, 24], Operations: ['72-48=24']
Exploring Operation: 36-24=12, Resulting Numbers: [5, 12]
Generated Node #0,0,0: 30:[5, 12] Operation: 36-24=12
Moving to Node #0,0,0
Current State: 30:[5, 12], Operations: ['72-48=24', '36-24=12']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,30 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
75,
56,
13,
95
] | 25 | [
"75*13=975",
"95-56=39",
"975/39=25"
] | Current State: 25:[75, 56, 13, 95], Operations: []
Exploring Operation: 75*13=975, Resulting Numbers: [56, 95, 975]
Generated Node #2: [56, 95, 975] from Operation: 75*13=975
Current State: 25:[56, 95, 975], Operations: ['75*13=975']
Exploring Operation: 95-56=39, Resulting Numbers: [975, 39]
Generated Node #3: [975, 39] from Operation: 95-56=39
Current State: 25:[975, 39], Operations: ['75*13=975', '95-56=39']
Exploring Operation: 975/39=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[75, 56, 13, 95], Operations: []
Exploring Operation: 95-56=39, Resulting Numbers: [75, 13, 39]
Generated Node #0,0: 25:[75, 13, 39] Operation: 95-56=39
Exploring Operation: 95-75=20, Resulting Numbers: [56, 13, 20]
Generated Node #0,1: 25:[56, 13, 20] Operation: 95-75=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[56, 13, 20], Operations: ['95-75=20']
Exploring Operation: 56-13=43, Resulting Numbers: [20, 43]
Generated Node #0,1,0: 25:[20, 43] Operation: 56-13=43
Exploring Operation: 56-20=36, Resulting Numbers: [13, 36]
Generated Node #0,1,1: 25:[13, 36] Operation: 56-20=36
Moving to Node #0,1,1
Current State: 25:[13, 36], Operations: ['95-75=20', '56-20=36']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[20, 43], Operations: ['95-75=20', '56-13=43']
Exploring Operation: 20+43=63, Resulting Numbers: [63]
63,25 unequal: No Solution
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[75, 13, 39], Operations: ['95-56=39']
Exploring Operation: 75-13=62, Resulting Numbers: [39, 62]
Generated Node #0,0,0: 25:[39, 62] Operation: 75-13=62
Exploring Operation: 75-39=36, Resulting Numbers: [13, 36]
Generated Node #0,0,1: 25:[13, 36] Operation: 75-39=36
Moving to Node #0,0,1
Current State: 25:[13, 36], Operations: ['95-56=39', '75-39=36']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[39, 62], Operations: ['95-56=39', '75-13=62']
Exploring Operation: 39+62=101, Resulting Numbers: [101]
101,25 unequal: No Solution
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,25 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 |
[
28,
56,
13,
12
] | 11 | [
"56/28=2",
"12*2=24",
"24-13=11"
] | Current State: 11:[28, 56, 13, 12], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [13, 12, 2]
Generated Node #2: [13, 12, 2] from Operation: 56/28=2
Current State: 11:[13, 12, 2], Operations: ['56/28=2']
Exploring Operation: 12*2=24, Resulting Numbers: [13, 24]
Generated Node #3: [13, 24] from Operation: 12*2=24
Current State: 11:[13, 24], Operations: ['56/28=2', '12*2=24']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[28, 56, 13, 12], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [13, 12, 2]
Generated Node #0,0: 11:[13, 12, 2] Operation: 56/28=2
Exploring Operation: 56-28=28, Resulting Numbers: [13, 12, 28]
Generated Node #0,1: 11:[13, 12, 28] Operation: 56-28=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[13, 12, 2], Operations: ['56/28=2']
Exploring Operation: 12-2=10, Resulting Numbers: [13, 10]
Generated Node #0,0,0: 11:[13, 10] Operation: 12-2=10
Exploring Operation: 13-2=11, Resulting Numbers: [12, 11]
Generated Node #0,0,1: 11:[12, 11] Operation: 13-2=11
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[12, 11], Operations: ['56/28=2', '13-2=11']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,11 unequal: No Solution
No 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: 11:[13, 10], Operations: ['56/28=2', '12-2=10']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,11 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: 11:[13, 12, 28], Operations: ['56-28=28']
Exploring Operation: 28-13=15, Resulting Numbers: [12, 15]
Generated Node #0,1,0: 11:[12, 15] Operation: 28-13=15
Exploring Operation: 28-12=16, Resulting Numbers: [13, 16]
Generated Node #0,1,1: 11:[13, 16] Operation: 28-12=16
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[12, 15], Operations: ['56-28=28', '28-13=15']
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,11 unequal: No Solution
No 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: 11:[13, 16], Operations: ['56-28=28', '28-12=16']
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,11 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 |
[
13,
9,
60,
53
] | 54 | [
"60-13=47",
"53-47=6",
"9*6=54"
] | Current State: 54:[13, 9, 60, 53], Operations: []
Exploring Operation: 60-13=47, Resulting Numbers: [9, 53, 47]
Generated Node #2: [9, 53, 47] from Operation: 60-13=47
Current State: 54:[9, 53, 47], Operations: ['60-13=47']
Exploring Operation: 53-47=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 53-47=6
Current State: 54:[9, 6], Operations: ['60-13=47', '53-47=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[13, 9, 60, 53], Operations: []
Exploring Operation: 60-13=47, Resulting Numbers: [9, 53, 47]
Generated Node #0,0: 54:[9, 53, 47] Operation: 60-13=47
Exploring Operation: 60-53=7, Resulting Numbers: [13, 9, 7]
Generated Node #0,1: 54:[13, 9, 7] Operation: 60-53=7
Exploring Operation: 13-9=4, Resulting Numbers: [60, 53, 4]
Generated Node #0,2: 54:[60, 53, 4] Operation: 13-9=4
Moving to Node #0,1
Current State: 54:[13, 9, 7], Operations: ['60-53=7']
Exploring Operation: 13-9=4, Resulting Numbers: [7, 4]
Generated Node #0,1,0: 54:[7, 4] Operation: 13-9=4
Exploring Operation: 13-7=6, Resulting Numbers: [9, 6]
Generated Node #0,1,1: 54:[9, 6] Operation: 13-7=6
Exploring Operation: 13+7=20, Resulting Numbers: [9, 20]
Generated Node #0,1,2: 54:[9, 20] Operation: 13+7=20
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 54:[9, 6], Operations: ['60-53=7', '13-7=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[13, 9, 60, 53], Operations: []
Exploring Operation: 60-53=7, Resulting Numbers: [13, 9, 7]
Generated Node #0,1: 54:[13, 9, 7] Operation: 60-53=7
Moving to Node #0,1
Current State: 54:[13, 9, 7], Operations: ['60-53=7']
Exploring Operation: 13-7=6, Resulting Numbers: [9, 6]
Generated Node #0,1,1: 54:[9, 6] Operation: 13-7=6
Moving to Node #0,1,1
Current State: 54:[9, 6], Operations: ['60-53=7', '13-7=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
42,
30,
74,
4
] | 98 | [
"74-42=32",
"4*32=128",
"128-30=98"
] | Current State: 98:[42, 30, 74, 4], Operations: []
Exploring Operation: 74-42=32, Resulting Numbers: [30, 4, 32]
Generated Node #2: [30, 4, 32] from Operation: 74-42=32
Current State: 98:[30, 4, 32], Operations: ['74-42=32']
Exploring Operation: 4*32=128, Resulting Numbers: [30, 128]
Generated Node #3: [30, 128] from Operation: 4*32=128
Current State: 98:[30, 128], Operations: ['74-42=32', '4*32=128']
Exploring Operation: 128-30=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[42, 30, 74, 4], Operations: []
Exploring Operation: 30+74=104, Resulting Numbers: [42, 4, 104]
Generated Node #0,0: 98:[42, 4, 104] Operation: 30+74=104
Exploring Operation: 74-30=44, Resulting Numbers: [42, 4, 44]
Generated Node #0,1: 98:[42, 4, 44] Operation: 74-30=44
Exploring Operation: 42-30=12, Resulting Numbers: [74, 4, 12]
Generated Node #0,2: 98:[74, 4, 12] Operation: 42-30=12
Exploring Operation: 42+74=116, Resulting Numbers: [30, 4, 116]
Generated Node #0,3: 98:[30, 4, 116] Operation: 42+74=116
Exploring Operation: 74-42=32, Resulting Numbers: [30, 4, 32]
Generated Node #0,4: 98:[30, 4, 32] Operation: 74-42=32
Moving to Node #0,1
Current State: 98:[42, 4, 44], Operations: ['74-30=44']
Exploring Operation: 44/4=11, Resulting Numbers: [42, 11]
Generated Node #0,1,0: 98:[42, 11] Operation: 44/4=11
Exploring Operation: 4+44=48, Resulting Numbers: [42, 48]
Generated Node #0,1,1: 98:[42, 48] Operation: 4+44=48
Exploring Operation: 42+44=86, Resulting Numbers: [4, 86]
Generated Node #0,1,2: 98:[4, 86] Operation: 42+44=86
Exploring Operation: 44-42=2, Resulting Numbers: [4, 2]
Generated Node #0,1,3: 98:[4, 2] Operation: 44-42=2
Exploring Operation: 42+4=46, Resulting Numbers: [44, 46]
Generated Node #0,1,4: 98:[44, 46] Operation: 42+4=46
Moving to Node #0,0
Current State: 98:[42, 4, 104], Operations: ['30+74=104']
Exploring Operation: 42+4=46, Resulting Numbers: [104, 46]
Generated Node #0,0,0: 98:[104, 46] Operation: 42+4=46
Exploring Operation: 4+104=108, Resulting Numbers: [42, 108]
Generated Node #0,0,1: 98:[42, 108] Operation: 4+104=108
Exploring Operation: 42-4=38, Resulting Numbers: [104, 38]
Generated Node #0,0,2: 98:[104, 38] Operation: 42-4=38
Exploring Operation: 104-42=62, Resulting Numbers: [4, 62]
Generated Node #0,0,3: 98:[4, 62] Operation: 104-42=62
Exploring Operation: 104-4=100, Resulting Numbers: [42, 100]
Generated Node #0,0,4: 98:[42, 100] Operation: 104-4=100
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[104, 46], Operations: ['30+74=104', '42+4=46']
Exploring Operation: 104-46=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 104*46=4784, Resulting Numbers: [4784]
4784,98 unequal: No Solution
Exploring Operation: 104+46=150, Resulting Numbers: [150]
150,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 98:[42, 100], Operations: ['30+74=104', '104-4=100']
Exploring Operation: 100-42=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 42+100=142, Resulting Numbers: [142]
142,98 unequal: No Solution
Exploring Operation: 42*100=4200, Resulting Numbers: [4200]
4200,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 98:[4, 62], Operations: ['30+74=104', '104-42=62']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 4*62=248, Resulting Numbers: [248]
248,98 unequal: No Solution
Exploring Operation: 4+62=66, Resulting Numbers: [66]
66,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 98:[42, 108], Operations: ['30+74=104', '4+104=108']
Exploring Operation: 108-42=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 42+108=150, Resulting Numbers: [150]
150,98 unequal: No Solution
Exploring Operation: 42*108=4536, Resulting Numbers: [4536]
4536,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 98:[104, 38], Operations: ['30+74=104', '42-4=38']
Exploring Operation: 104*38=3952, Resulting Numbers: [3952]
3952,98 unequal: No Solution
Exploring Operation: 104-38=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 104+38=142, Resulting Numbers: [142]
142,98 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: 98:[74, 4, 12], Operations: ['42-30=12']
Exploring Operation: 74+4=78, Resulting Numbers: [12, 78]
Generated Node #0,2,0: 98:[12, 78] Operation: 74+4=78
Exploring Operation: 74-12=62, Resulting Numbers: [4, 62]
Generated Node #0,2,1: 98:[4, 62] Operation: 74-12=62
Exploring Operation: 4*12=48, Resulting Numbers: [74, 48]
Generated Node #0,2,2: 98:[74, 48] Operation: 4*12=48
Exploring Operation: 74-4=70, Resulting Numbers: [12, 70]
Generated Node #0,2,3: 98:[12, 70] Operation: 74-4=70
Exploring Operation: 74+12=86, Resulting Numbers: [4, 86]
Generated Node #0,2,4: 98:[4, 86] Operation: 74+12=86
Moving to Node #0,4
Current State: 98:[30, 4, 32], Operations: ['74-42=32']
Exploring Operation: 30+32=62, Resulting Numbers: [4, 62]
Generated Node #0,4,0: 98:[4, 62] Operation: 30+32=62
Exploring Operation: 4+32=36, Resulting Numbers: [30, 36]
Generated Node #0,4,1: 98:[30, 36] Operation: 4+32=36
Exploring Operation: 30-4=26, Resulting Numbers: [32, 26]
Generated Node #0,4,2: 98:[32, 26] Operation: 30-4=26
Exploring Operation: 32/4=8, Resulting Numbers: [30, 8]
Generated Node #0,4,3: 98:[30, 8] Operation: 32/4=8
Exploring Operation: 32-30=2, Resulting Numbers: [4, 2]
Generated Node #0,4,4: 98:[4, 2] Operation: 32-30=2
Moving to Node #0,3
Current State: 98:[30, 4, 116], Operations: ['42+74=116']
Exploring Operation: 116/4=29, Resulting Numbers: [30, 29]
Generated Node #0,3,0: 98:[30, 29] Operation: 116/4=29
Exploring Operation: 116-30=86, Resulting Numbers: [4, 86]
Generated Node #0,3,1: 98:[4, 86] Operation: 116-30=86
Exploring Operation: 30-4=26, Resulting Numbers: [116, 26]
Generated Node #0,3,2: 98:[116, 26] Operation: 30-4=26
Exploring Operation: 116-4=112, Resulting Numbers: [30, 112]
Generated Node #0,3,3: 98:[30, 112] Operation: 116-4=112
Exploring Operation: 30+4=34, Resulting Numbers: [116, 34]
Generated Node #0,3,4: 98:[116, 34] Operation: 30+4=34
Moving to Node #0,1,3
Current State: 98:[4, 2], Operations: ['74-30=44', '44-42=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Moving to Node #0,4,4
Current State: 98:[4, 2], Operations: ['74-42=32', '32-30=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Moving to Node #0,1,4
Current State: 98:[44, 46], Operations: ['74-30=44', '42+4=46']
Exploring Operation: 44*46=2024, Resulting Numbers: [2024]
2024,98 unequal: No Solution
Exploring Operation: 46-44=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 44+46=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[42, 48], Operations: ['74-30=44', '4+44=48']
Exploring Operation: 42*48=2016, Resulting Numbers: [2016]
2016,98 unequal: No Solution
Exploring Operation: 48-42=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 42+48=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[42, 11], Operations: ['74-30=44', '44/4=11']
Exploring Operation: 42*11=462, Resulting Numbers: [462]
462,98 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,98 unequal: No Solution
Exploring Operation: 42+11=53, Resulting Numbers: [53]
53,98 unequal: No Solution
Moving to Node #0,2,4
Current State: 98:[4, 86], Operations: ['42-30=12', '74+12=86']
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Exploring Operation: 4*86=344, Resulting Numbers: [344]
344,98 unequal: No Solution
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[4, 86], Operations: ['74-30=44', '42+44=86']
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Exploring Operation: 4*86=344, Resulting Numbers: [344]
344,98 unequal: No Solution
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,98 unequal: No Solution
Moving to Node #0,3,1
Current State: 98:[4, 86], Operations: ['42+74=116', '116-30=86']
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,98 unequal: No Solution
Exploring Operation: 4*86=344, Resulting Numbers: [344]
344,98 unequal: No Solution
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[4, 62], Operations: ['42-30=12', '74-12=62']
Exploring Operation: 4*62=248, Resulting Numbers: [248]
248,98 unequal: No Solution
Exploring Operation: 4+62=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Moving to Node #0,4,0
Current State: 98:[4, 62], Operations: ['74-42=32', '30+32=62']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 4+62=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 4*62=248, Resulting Numbers: [248]
248,98 unequal: No Solution
Moving to Node #0,4,3
Current State: 98:[30, 8], Operations: ['74-42=32', '32/4=8']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,98 unequal: No Solution
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Exploring Operation: 30*8=240, Resulting Numbers: [240]
240,98 unequal: No Solution
Moving to Node #0,2,0
Current State: 98:[12, 78], Operations: ['42-30=12', '74+4=78']
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 12*78=936, Resulting Numbers: [936]
936,98 unequal: No Solution
Exploring Operation: 12+78=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,2,3
Current State: 98:[12, 70], Operations: ['42-30=12', '74-4=70']
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,98 unequal: No Solution
Exploring Operation: 12*70=840, Resulting Numbers: [840]
840,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[74, 48], Operations: ['42-30=12', '4*12=48']
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,98 unequal: No Solution
Exploring Operation: 74+48=122, Resulting Numbers: [122]
122,98 unequal: No Solution
Exploring Operation: 74*48=3552, Resulting Numbers: [3552]
3552,98 unequal: No Solution
Moving to Node #0,4,2
Current State: 98:[32, 26], Operations: ['74-42=32', '30-4=26']
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 32*26=832, Resulting Numbers: [832]
832,98 unequal: No Solution
Moving to Node #0,4,1
Current State: 98:[30, 36], Operations: ['74-42=32', '4+32=36']
Exploring Operation: 30*36=1080, Resulting Numbers: [1080]
1080,98 unequal: No Solution
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 30+36=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Moving to Node #0,3,2
Current State: 98:[116, 26], Operations: ['42+74=116', '30-4=26']
Exploring Operation: 116+26=142, Resulting Numbers: [142]
142,98 unequal: No Solution
Exploring Operation: 116*26=3016, Resulting Numbers: [3016]
3016,98 unequal: No Solution
Exploring Operation: 116-26=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,3,3
Current State: 98:[30, 112], Operations: ['42+74=116', '116-4=112']
Exploring Operation: 30+112=142, Resulting Numbers: [142]
142,98 unequal: No Solution
Exploring Operation: 30*112=3360, Resulting Numbers: [3360]
3360,98 unequal: No Solution
Exploring Operation: 112-30=82, Resulting Numbers: [82]
82,98 unequal: No Solution
Moving to Node #0,3,0
Current State: 98:[30, 29], Operations: ['42+74=116', '116/4=29']
Exploring Operation: 30*29=870, Resulting Numbers: [870]
870,98 unequal: No Solution
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Moving to Node #0,3,4
Current State: 98:[116, 34], Operations: ['42+74=116', '30+4=34']
Exploring Operation: 116+34=150, Resulting Numbers: [150]
150,98 unequal: No Solution
Exploring Operation: 116-34=82, Resulting Numbers: [82]
82,98 unequal: No Solution
Exploring Operation: 116*34=3944, Resulting Numbers: [3944]
3944,98 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
76,
58,
79,
77
] | 57 | [
"79-76=3",
"77-58=19",
"3*19=57"
] | Current State: 57:[76, 58, 79, 77], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [58, 77, 3]
Generated Node #2: [58, 77, 3] from Operation: 79-76=3
Current State: 57:[58, 77, 3], Operations: ['79-76=3']
Exploring Operation: 77-58=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 77-58=19
Current State: 57:[3, 19], Operations: ['79-76=3', '77-58=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[76, 58, 79, 77], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [58, 77, 3]
Generated Node #0,0: 57:[58, 77, 3] Operation: 79-76=3
Exploring Operation: 79-77=2, Resulting Numbers: [76, 58, 2]
Generated Node #0,1: 57:[76, 58, 2] Operation: 79-77=2
Exploring Operation: 77-76=1, Resulting Numbers: [58, 79, 1]
Generated Node #0,2: 57:[58, 79, 1] Operation: 77-76=1
Moving to Node #0,0
Current State: 57:[58, 77, 3], Operations: ['79-76=3']
Exploring Operation: 77-58=19, Resulting Numbers: [3, 19]
Generated Node #0,0,0: 57:[3, 19] Operation: 77-58=19
Exploring Operation: 58-3=55, Resulting Numbers: [77, 55]
Generated Node #0,0,1: 57:[77, 55] Operation: 58-3=55
Exploring Operation: 77-3=74, Resulting Numbers: [58, 74]
Generated Node #0,0,2: 57:[58, 74] Operation: 77-3=74
Moving to Node #0,1
Current State: 57:[76, 58, 2], Operations: ['79-77=2']
Exploring Operation: 76-2=74, Resulting Numbers: [58, 74]
Generated Node #0,1,0: 57:[58, 74] Operation: 76-2=74
Exploring Operation: 76-58=18, Resulting Numbers: [2, 18]
Generated Node #0,1,1: 57:[2, 18] Operation: 76-58=18
Exploring Operation: 76/2=38, Resulting Numbers: [58, 38]
Generated Node #0,1,2: 57:[58, 38] Operation: 76/2=38
Moving to Node #0,2
Current State: 57:[58, 79, 1], Operations: ['77-76=1']
Exploring Operation: 79-1=78, Resulting Numbers: [58, 78]
Generated Node #0,2,0: 57:[58, 78] Operation: 79-1=78
Exploring Operation: 58-1=57, Resulting Numbers: [79, 57]
Generated Node #0,2,1: 57:[79, 57] Operation: 58-1=57
Exploring Operation: 79-58=21, Resulting Numbers: [1, 21]
Generated Node #0,2,2: 57:[1, 21] Operation: 79-58=21
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 57:[1, 21], Operations: ['77-76=1', '79-58=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,57 unequal: No Solution
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,57 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 57:[58, 78], Operations: ['77-76=1', '79-1=78']
Exploring Operation: 58+78=136, Resulting Numbers: [136]
136,57 unequal: No Solution
Exploring Operation: 78-58=20, Resulting Numbers: [20]
20,57 unequal: No Solution
Exploring Operation: 58*78=4524, Resulting Numbers: [4524]
4524,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 57:[79, 57], Operations: ['77-76=1', '58-1=57']
Exploring Operation: 79-57=22, Resulting Numbers: [22]
22,57 unequal: No Solution
Exploring Operation: 79*57=4503, Resulting Numbers: [4503]
4503,57 unequal: No Solution
Exploring Operation: 79+57=136, Resulting Numbers: [136]
136,57 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: 57:[3, 19], Operations: ['79-76=3', '77-58=19']
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,57 unequal: No Solution
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[76, 58, 79, 77], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [58, 77, 3]
Generated Node #0,0: 57:[58, 77, 3] Operation: 79-76=3
Moving to Node #0,0
Current State: 57:[58, 77, 3], Operations: ['79-76=3']
Exploring Operation: 77-58=19, Resulting Numbers: [3, 19]
Generated Node #0,0,0: 57:[3, 19] Operation: 77-58=19
Moving to Node #0,0,0
Current State: 57:[3, 19], Operations: ['79-76=3', '77-58=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
27,
39,
33,
93
] | 37 | [
"93-27=66",
"66/33=2",
"39-2=37"
] | Current State: 37:[27, 39, 33, 93], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [39, 33, 66]
Generated Node #2: [39, 33, 66] from Operation: 93-27=66
Current State: 37:[39, 33, 66], Operations: ['93-27=66']
Exploring Operation: 66/33=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 66/33=2
Current State: 37:[39, 2], Operations: ['93-27=66', '66/33=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[27, 39, 33, 93], Operations: []
Exploring Operation: 93-39=54, Resulting Numbers: [27, 33, 54]
Generated Node #0,0: 37:[27, 33, 54] Operation: 93-39=54
Moving to Node #0,0
Current State: 37:[27, 33, 54], Operations: ['93-39=54']
Exploring Operation: 54-27=27, Resulting Numbers: [33, 27]
Generated Node #0,0,0: 37:[33, 27] Operation: 54-27=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[33, 27], Operations: ['93-39=54', '54-27=27']
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,37 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 |
[
14,
14,
13,
57
] | 71 | [
"14/14=1",
"13+57=70",
"1+70=71"
] | Current State: 71:[14, 14, 13, 57], Operations: []
Exploring Operation: 14/14=1, Resulting Numbers: [13, 57, 1]
Generated Node #2: [13, 57, 1] from Operation: 14/14=1
Current State: 71:[13, 57, 1], Operations: ['14/14=1']
Exploring Operation: 13+57=70, Resulting Numbers: [1, 70]
Generated Node #3: [1, 70] from Operation: 13+57=70
Current State: 71:[1, 70], Operations: ['14/14=1', '13+57=70']
Exploring Operation: 1+70=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[14, 14, 13, 57], Operations: []
Exploring Operation: 14+14=28, Resulting Numbers: [13, 57, 28]
Generated Node #0,0: 71:[13, 57, 28] Operation: 14+14=28
Moving to Node #0,0
Current State: 71:[13, 57, 28], Operations: ['14+14=28']
Exploring Operation: 13+57=70, Resulting Numbers: [28, 70]
Generated Node #0,0,0: 71:[28, 70] Operation: 13+57=70
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[28, 70], Operations: ['14+14=28', '13+57=70']
Exploring Operation: 28+70=98, Resulting Numbers: [98]
98,71 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 |
[
39,
95,
91,
67
] | 32 | [
"95-39=56",
"91-67=24",
"56-24=32"
] | Current State: 32:[39, 95, 91, 67], Operations: []
Exploring Operation: 95-39=56, Resulting Numbers: [91, 67, 56]
Generated Node #2: [91, 67, 56] from Operation: 95-39=56
Current State: 32:[91, 67, 56], Operations: ['95-39=56']
Exploring Operation: 91-67=24, Resulting Numbers: [56, 24]
Generated Node #3: [56, 24] from Operation: 91-67=24
Current State: 32:[56, 24], Operations: ['95-39=56', '91-67=24']
Exploring Operation: 56-24=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[39, 95, 91, 67], Operations: []
Exploring Operation: 95-39=56, Resulting Numbers: [91, 67, 56]
Generated Node #0,0: 32:[91, 67, 56] Operation: 95-39=56
Exploring Operation: 95-67=28, Resulting Numbers: [39, 91, 28]
Generated Node #0,1: 32:[39, 91, 28] Operation: 95-67=28
Exploring Operation: 95-91=4, Resulting Numbers: [39, 67, 4]
Generated Node #0,2: 32:[39, 67, 4] Operation: 95-91=4
Exploring Operation: 91-67=24, Resulting Numbers: [39, 95, 24]
Generated Node #0,3: 32:[39, 95, 24] Operation: 91-67=24
Moving to Node #0,2
Current State: 32:[39, 67, 4], Operations: ['95-91=4']
Exploring Operation: 39+4=43, Resulting Numbers: [67, 43]
Generated Node #0,2,0: 32:[67, 43] Operation: 39+4=43
Exploring Operation: 67-4=63, Resulting Numbers: [39, 63]
Generated Node #0,2,1: 32:[39, 63] Operation: 67-4=63
Exploring Operation: 67-39=28, Resulting Numbers: [4, 28]
Generated Node #0,2,2: 32:[4, 28] Operation: 67-39=28
Exploring Operation: 39-4=35, Resulting Numbers: [67, 35]
Generated Node #0,2,3: 32:[67, 35] Operation: 39-4=35
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 32:[4, 28], Operations: ['95-91=4', '67-39=28']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[39, 95, 91, 67], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [39, 67, 4]
Generated Node #0,2: 32:[39, 67, 4] Operation: 95-91=4
Moving to Node #0,2
Current State: 32:[39, 67, 4], Operations: ['95-91=4']
Exploring Operation: 67-39=28, Resulting Numbers: [4, 28]
Generated Node #0,2,2: 32:[4, 28] Operation: 67-39=28
Moving to Node #0,2,2
Current State: 32:[4, 28], Operations: ['95-91=4', '67-39=28']
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
42,
31,
10,
93
] | 35 | [
"42-10=32",
"93/31=3",
"32+3=35"
] | Current State: 35:[42, 31, 10, 93], Operations: []
Exploring Operation: 42-10=32, Resulting Numbers: [31, 93, 32]
Generated Node #2: [31, 93, 32] from Operation: 42-10=32
Current State: 35:[31, 93, 32], Operations: ['42-10=32']
Exploring Operation: 93/31=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 93/31=3
Current State: 35:[32, 3], Operations: ['42-10=32', '93/31=3']
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[42, 31, 10, 93], Operations: []
Exploring Operation: 93-42=51, Resulting Numbers: [31, 10, 51]
Generated Node #0,0: 35:[31, 10, 51] Operation: 93-42=51
Exploring Operation: 93/31=3, Resulting Numbers: [42, 10, 3]
Generated Node #0,1: 35:[42, 10, 3] Operation: 93/31=3
Moving to Node #0,1
Current State: 35:[42, 10, 3], Operations: ['93/31=3']
Exploring Operation: 42-10=32, Resulting Numbers: [3, 32]
Generated Node #0,1,0: 35:[3, 32] Operation: 42-10=32
Exploring Operation: 42-3=39, Resulting Numbers: [10, 39]
Generated Node #0,1,1: 35:[10, 39] Operation: 42-3=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[3, 32], Operations: ['93/31=3', '42-10=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[42, 31, 10, 93], Operations: []
Exploring Operation: 93/31=3, Resulting Numbers: [42, 10, 3]
Generated Node #0,1: 35:[42, 10, 3] Operation: 93/31=3
Moving to Node #0,1
Current State: 35:[42, 10, 3], Operations: ['93/31=3']
Exploring Operation: 42-10=32, Resulting Numbers: [3, 32]
Generated Node #0,1,0: 35:[3, 32] Operation: 42-10=32
Moving to Node #0,1,0
Current State: 35:[3, 32], Operations: ['93/31=3', '42-10=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
96,
28,
72,
96
] | 44 | [
"96+28=124",
"72+96=168",
"168-124=44"
] | Current State: 44:[96, 28, 72, 96], Operations: []
Exploring Operation: 96+28=124, Resulting Numbers: [72, 124]
Generated Node #2: [72, 124] from Operation: 96+28=124
Current State: 44:[72, 124], Operations: ['96+28=124']
Exploring Operation: 72+96=168, Resulting Numbers: [124, 168]
Generated Node #3: [124, 168] from Operation: 72+96=168
Current State: 44:[124, 168], Operations: ['96+28=124', '72+96=168']
Exploring Operation: 168-124=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[96, 28, 72, 96], Operations: []
Exploring Operation: 96/96=1, Resulting Numbers: [28, 72, 1]
Generated Node #0,0: 44:[28, 72, 1] Operation: 96/96=1
Exploring Operation: 96-96=0, Resulting Numbers: [28, 72, 0]
Generated Node #0,1: 44:[28, 72, 0] Operation: 96-96=0
Moving to Node #0,0
Current State: 44:[28, 72, 1], Operations: ['96/96=1']
Exploring Operation: 72-28=44, Resulting Numbers: [1, 44]
Generated Node #0,0,0: 44:[1, 44] Operation: 72-28=44
Exploring Operation: 28-1=27, Resulting Numbers: [72, 27]
Generated Node #0,0,1: 44:[72, 27] Operation: 28-1=27
Moving to Node #0,1
Current State: 44:[28, 72, 0], Operations: ['96-96=0']
Exploring Operation: 72*0=0, Resulting Numbers: [28, 0]
Generated Node #0,1,0: 44:[28, 0] Operation: 72*0=0
Exploring Operation: 72-28=44, Resulting Numbers: [0, 44]
Generated Node #0,1,1: 44:[0, 44] Operation: 72-28=44
Moving to Node #0,0,0
Current State: 44:[1, 44], Operations: ['96/96=1', '72-28=44']
Exploring Operation: 1*44=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[96, 28, 72, 96], Operations: []
Exploring Operation: 96/96=1, Resulting Numbers: [28, 72, 1]
Generated Node #0,0: 44:[28, 72, 1] Operation: 96/96=1
Moving to Node #0,0
Current State: 44:[28, 72, 1], Operations: ['96/96=1']
Exploring Operation: 72-28=44, Resulting Numbers: [1, 44]
Generated Node #0,0,0: 44:[1, 44] Operation: 72-28=44
Moving to Node #0,0,0
Current State: 44:[1, 44], Operations: ['96/96=1', '72-28=44']
Exploring Operation: 1*44=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
47,
26,
47,
74
] | 48 | [
"47+26=73",
"47+74=121",
"121-73=48"
] | Current State: 48:[47, 26, 47, 74], Operations: []
Exploring Operation: 47+26=73, Resulting Numbers: [74, 73]
Generated Node #2: [74, 73] from Operation: 47+26=73
Current State: 48:[74, 73], Operations: ['47+26=73']
Exploring Operation: 47+74=121, Resulting Numbers: [73, 121]
Generated Node #3: [73, 121] from Operation: 47+74=121
Current State: 48:[73, 121], Operations: ['47+26=73', '47+74=121']
Exploring Operation: 121-73=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[47, 26, 47, 74], Operations: []
Exploring Operation: 74-47=27, Resulting Numbers: [47, 26, 27]
Generated Node #0,0: 48:[47, 26, 27] Operation: 74-47=27
Exploring Operation: 74-26=48, Resulting Numbers: [47, 47, 48]
Generated Node #0,1: 48:[47, 47, 48] Operation: 74-26=48
Exploring Operation: 47/47=1, Resulting Numbers: [26, 74, 1]
Generated Node #0,2: 48:[26, 74, 1] Operation: 47/47=1
Exploring Operation: 74-47=27, Resulting Numbers: [26, 47, 27]
Generated Node #0,3: 48:[26, 47, 27] Operation: 74-47=27
Moving to Node #0,1
Current State: 48:[47, 47, 48], Operations: ['74-26=48']
Exploring Operation: 48-47=1, Resulting Numbers: [47, 1]
Generated Node #0,1,0: 48:[47, 1] Operation: 48-47=1
Exploring Operation: 47-47=0, Resulting Numbers: [48, 0]
Generated Node #0,1,1: 48:[48, 0] Operation: 47-47=0
Exploring Operation: 48-47=1, Resulting Numbers: [47, 1]
Generated Node #0,1,2: 48:[47, 1] Operation: 48-47=1
Exploring Operation: 47/47=1, Resulting Numbers: [48, 1]
Generated Node #0,1,3: 48:[48, 1] Operation: 47/47=1
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 48:[48, 1], Operations: ['74-26=48', '47/47=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[47, 26, 47, 74], Operations: []
Exploring Operation: 74-26=48, Resulting Numbers: [47, 47, 48]
Generated Node #0,1: 48:[47, 47, 48] Operation: 74-26=48
Moving to Node #0,1
Current State: 48:[47, 47, 48], Operations: ['74-26=48']
Exploring Operation: 47/47=1, Resulting Numbers: [48, 1]
Generated Node #0,1,3: 48:[48, 1] Operation: 47/47=1
Moving to Node #0,1,3
Current State: 48:[48, 1], Operations: ['74-26=48', '47/47=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
3,
46,
31,
17
] | 56 | [
"46-17=29",
"3*29=87",
"87-31=56"
] | Current State: 56:[3, 46, 31, 17], Operations: []
Exploring Operation: 46-17=29, Resulting Numbers: [3, 31, 29]
Generated Node #2: [3, 31, 29] from Operation: 46-17=29
Current State: 56:[3, 31, 29], Operations: ['46-17=29']
Exploring Operation: 3*29=87, Resulting Numbers: [31, 87]
Generated Node #3: [31, 87] from Operation: 3*29=87
Current State: 56:[31, 87], Operations: ['46-17=29', '3*29=87']
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[3, 46, 31, 17], Operations: []
Exploring Operation: 46-31=15, Resulting Numbers: [3, 17, 15]
Generated Node #0,0: 56:[3, 17, 15] Operation: 46-31=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[3, 17, 15], Operations: ['46-31=15']
Exploring Operation: 17-3=14, Resulting Numbers: [15, 14]
Generated Node #0,0,0: 56:[15, 14] Operation: 17-3=14
Moving to Node #0,0,0
Current State: 56:[15, 14], Operations: ['46-31=15', '17-3=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,56 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 |
[
51,
69,
31,
9
] | 80 | [
"51+69=120",
"31+9=40",
"120-40=80"
] | Current State: 80:[51, 69, 31, 9], Operations: []
Exploring Operation: 51+69=120, Resulting Numbers: [31, 9, 120]
Generated Node #2: [31, 9, 120] from Operation: 51+69=120
Current State: 80:[31, 9, 120], Operations: ['51+69=120']
Exploring Operation: 31+9=40, Resulting Numbers: [120, 40]
Generated Node #3: [120, 40] from Operation: 31+9=40
Current State: 80:[120, 40], Operations: ['51+69=120', '31+9=40']
Exploring Operation: 120-40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[51, 69, 31, 9], Operations: []
Exploring Operation: 69-51=18, Resulting Numbers: [31, 9, 18]
Generated Node #0,0: 80:[31, 9, 18] Operation: 69-51=18
Moving to Node #0,0
Current State: 80:[31, 9, 18], Operations: ['69-51=18']
Exploring Operation: 31+9=40, Resulting Numbers: [18, 40]
Generated Node #0,0,0: 80:[18, 40] Operation: 31+9=40
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[18, 40], Operations: ['69-51=18', '31+9=40']
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,80 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 |
[
46,
69,
12,
25
] | 78 | [
"46+69=115",
"12+25=37",
"115-37=78"
] | Current State: 78:[46, 69, 12, 25], Operations: []
Exploring Operation: 46+69=115, Resulting Numbers: [12, 25, 115]
Generated Node #2: [12, 25, 115] from Operation: 46+69=115
Current State: 78:[12, 25, 115], Operations: ['46+69=115']
Exploring Operation: 12+25=37, Resulting Numbers: [115, 37]
Generated Node #3: [115, 37] from Operation: 12+25=37
Current State: 78:[115, 37], Operations: ['46+69=115', '12+25=37']
Exploring Operation: 115-37=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[46, 69, 12, 25], Operations: []
Exploring Operation: 46-12=34, Resulting Numbers: [69, 25, 34]
Generated Node #0,0: 78:[69, 25, 34] Operation: 46-12=34
Exploring Operation: 69-25=44, Resulting Numbers: [46, 12, 44]
Generated Node #0,1: 78:[46, 12, 44] Operation: 69-25=44
Exploring Operation: 69-46=23, Resulting Numbers: [12, 25, 23]
Generated Node #0,2: 78:[12, 25, 23] Operation: 69-46=23
Exploring Operation: 69+12=81, Resulting Numbers: [46, 25, 81]
Generated Node #0,3: 78:[46, 25, 81] Operation: 69+12=81
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[12, 25, 23], Operations: ['69-46=23']
Exploring Operation: 12+25=37, Resulting Numbers: [23, 37]
Generated Node #0,2,0: 78:[23, 37] Operation: 12+25=37
Exploring Operation: 25-23=2, Resulting Numbers: [12, 2]
Generated Node #0,2,1: 78:[12, 2] Operation: 25-23=2
Exploring Operation: 25-12=13, Resulting Numbers: [23, 13]
Generated Node #0,2,2: 78:[23, 13] Operation: 25-12=13
Exploring Operation: 23-12=11, Resulting Numbers: [25, 11]
Generated Node #0,2,3: 78:[25, 11] Operation: 23-12=11
Moving to Node #0,2,1
Current State: 78:[12, 2], Operations: ['69-46=23', '25-23=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,78 unequal: No Solution
Moving to Node #0,2,3
Current State: 78:[25, 11], Operations: ['69-46=23', '23-12=11']
Exploring Operation: 25*11=275, Resulting Numbers: [275]
275,78 unequal: No Solution
Exploring Operation: 25+11=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,78 unequal: No Solution
Moving to Node #0,2,2
Current State: 78:[23, 13], Operations: ['69-46=23', '25-12=13']
Exploring Operation: 23*13=299, Resulting Numbers: [299]
299,78 unequal: No Solution
Exploring Operation: 23+13=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Moving to Node #0,2,0
Current State: 78:[23, 37], Operations: ['69-46=23', '12+25=37']
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,78 unequal: No Solution
Exploring Operation: 23+37=60, Resulting Numbers: [60]
60,78 unequal: No Solution
Exploring Operation: 23*37=851, Resulting Numbers: [851]
851,78 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 #0,3
Current State: 78:[46, 25, 81], Operations: ['69+12=81']
Exploring Operation: 81-25=56, Resulting Numbers: [46, 56]
Generated Node #0,3,0: 78:[46, 56] Operation: 81-25=56
Exploring Operation: 81-46=35, Resulting Numbers: [25, 35]
Generated Node #0,3,1: 78:[25, 35] Operation: 81-46=35
Exploring Operation: 46+25=71, Resulting Numbers: [81, 71]
Generated Node #0,3,2: 78:[81, 71] Operation: 46+25=71
Exploring Operation: 46-25=21, Resulting Numbers: [81, 21]
Generated Node #0,3,3: 78:[81, 21] Operation: 46-25=21
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 78:[25, 35], Operations: ['69+12=81', '81-46=35']
Exploring Operation: 25+35=60, Resulting Numbers: [60]
60,78 unequal: No Solution
Exploring Operation: 25*35=875, Resulting Numbers: [875]
875,78 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 78:[81, 21], Operations: ['69+12=81', '46-25=21']
Exploring Operation: 81+21=102, Resulting Numbers: [102]
102,78 unequal: No Solution
Exploring Operation: 81-21=60, Resulting Numbers: [60]
60,78 unequal: No Solution
Exploring Operation: 81*21=1701, Resulting Numbers: [1701]
1701,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 78:[81, 71], Operations: ['69+12=81', '46+25=71']
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 81+71=152, Resulting Numbers: [152]
152,78 unequal: No Solution
Exploring Operation: 81*71=5751, Resulting Numbers: [5751]
5751,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 78:[46, 56], Operations: ['69+12=81', '81-25=56']
Exploring Operation: 46*56=2576, Resulting Numbers: [2576]
2576,78 unequal: No Solution
Exploring Operation: 56-46=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 46+56=102, Resulting Numbers: [102]
102,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[46, 12, 44], Operations: ['69-25=44']
Exploring Operation: 44-12=32, Resulting Numbers: [46, 32]
Generated Node #0,1,0: 78:[46, 32] Operation: 44-12=32
Exploring Operation: 46-12=34, Resulting Numbers: [44, 34]
Generated Node #0,1,1: 78:[44, 34] Operation: 46-12=34
Exploring Operation: 46-44=2, Resulting Numbers: [12, 2]
Generated Node #0,1,2: 78:[12, 2] Operation: 46-44=2
Exploring Operation: 46+44=90, Resulting Numbers: [12, 90]
Generated Node #0,1,3: 78:[12, 90] Operation: 46+44=90
Moving to Node #0,1,2
Current State: 78:[12, 2], Operations: ['69-25=44', '46-44=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,78 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[44, 34], Operations: ['69-25=44', '46-12=34']
Exploring Operation: 44*34=1496, Resulting Numbers: [1496]
1496,78 unequal: No Solution
Exploring Operation: 44-34=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 44+34=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[46, 69, 12, 25], Operations: []
Exploring Operation: 69-25=44, Resulting Numbers: [46, 12, 44]
Generated Node #0,1: 78:[46, 12, 44] Operation: 69-25=44
Moving to Node #0,1
Current State: 78:[46, 12, 44], Operations: ['69-25=44']
Exploring Operation: 46-12=34, Resulting Numbers: [44, 34]
Generated Node #0,1,1: 78:[44, 34] Operation: 46-12=34
Moving to Node #0,1,1
Current State: 78:[44, 34], Operations: ['69-25=44', '46-12=34']
Exploring Operation: 44+34=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 | hs_4 | sum_heuristic |
[
10,
44,
59,
72
] | 21 | [
"44-10=34",
"72-59=13",
"34-13=21"
] | Current State: 21:[10, 44, 59, 72], Operations: []
Exploring Operation: 44-10=34, Resulting Numbers: [59, 72, 34]
Generated Node #2: [59, 72, 34] from Operation: 44-10=34
Current State: 21:[59, 72, 34], Operations: ['44-10=34']
Exploring Operation: 72-59=13, Resulting Numbers: [34, 13]
Generated Node #3: [34, 13] from Operation: 72-59=13
Current State: 21:[34, 13], Operations: ['44-10=34', '72-59=13']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[10, 44, 59, 72], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [10, 72, 15]
Generated Node #0,0: 21:[10, 72, 15] Operation: 59-44=15
Exploring Operation: 44-10=34, Resulting Numbers: [59, 72, 34]
Generated Node #0,1: 21:[59, 72, 34] Operation: 44-10=34
Exploring Operation: 72-59=13, Resulting Numbers: [10, 44, 13]
Generated Node #0,2: 21:[10, 44, 13] Operation: 72-59=13
Exploring Operation: 72-44=28, Resulting Numbers: [10, 59, 28]
Generated Node #0,3: 21:[10, 59, 28] Operation: 72-44=28
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[10, 44, 13], Operations: ['72-59=13']
Exploring Operation: 44-10=34, Resulting Numbers: [13, 34]
Generated Node #0,2,0: 21:[13, 34] Operation: 44-10=34
Exploring Operation: 13-10=3, Resulting Numbers: [44, 3]
Generated Node #0,2,1: 21:[44, 3] Operation: 13-10=3
Exploring Operation: 44-13=31, Resulting Numbers: [10, 31]
Generated Node #0,2,2: 21:[10, 31] Operation: 44-13=31
Exploring Operation: 10+13=23, Resulting Numbers: [44, 23]
Generated Node #0,2,3: 21:[44, 23] Operation: 10+13=23
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 21:[10, 31], Operations: ['72-59=13', '44-13=31']
Exploring Operation: 10+31=41, Resulting Numbers: [41]
41,21 unequal: No Solution
Exploring Operation: 10*31=310, Resulting Numbers: [310]
310,21 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[10, 44, 59, 72], Operations: []
Exploring Operation: 72-59=13, Resulting Numbers: [10, 44, 13]
Generated Node #0,2: 21:[10, 44, 13] Operation: 72-59=13
Moving to Node #0,2
Current State: 21:[10, 44, 13], Operations: ['72-59=13']
Exploring Operation: 44-13=31, Resulting Numbers: [10, 31]
Generated Node #0,2,2: 21:[10, 31] Operation: 44-13=31
Moving to Node #0,2,2
Current State: 21:[10, 31], Operations: ['72-59=13', '44-13=31']
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
37,
71,
92,
59
] | 67 | [
"71-37=34",
"92-59=33",
"34+33=67"
] | Current State: 67:[37, 71, 92, 59], Operations: []
Exploring Operation: 71-37=34, Resulting Numbers: [92, 59, 34]
Generated Node #2: [92, 59, 34] from Operation: 71-37=34
Current State: 67:[92, 59, 34], Operations: ['71-37=34']
Exploring Operation: 92-59=33, Resulting Numbers: [34, 33]
Generated Node #3: [34, 33] from Operation: 92-59=33
Current State: 67:[34, 33], Operations: ['71-37=34', '92-59=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[37, 71, 92, 59], Operations: []
Exploring Operation: 92-37=55, Resulting Numbers: [71, 59, 55]
Generated Node #0,0: 67:[71, 59, 55] Operation: 92-37=55
Exploring Operation: 71-37=34, Resulting Numbers: [92, 59, 34]
Generated Node #0,1: 67:[92, 59, 34] Operation: 71-37=34
Exploring Operation: 92-59=33, Resulting Numbers: [37, 71, 33]
Generated Node #0,2: 67:[37, 71, 33] Operation: 92-59=33
Exploring Operation: 37+59=96, Resulting Numbers: [71, 92, 96]
Generated Node #0,3: 67:[71, 92, 96] Operation: 37+59=96
Moving to Node #0,0
Current State: 67:[71, 59, 55], Operations: ['92-37=55']
Exploring Operation: 71-55=16, Resulting Numbers: [59, 16]
Generated Node #0,0,0: 67:[59, 16] Operation: 71-55=16
Exploring Operation: 59+55=114, Resulting Numbers: [71, 114]
Generated Node #0,0,1: 67:[71, 114] Operation: 59+55=114
Exploring Operation: 71-59=12, Resulting Numbers: [55, 12]
Generated Node #0,0,2: 67:[55, 12] Operation: 71-59=12
Exploring Operation: 71+55=126, Resulting Numbers: [59, 126]
Generated Node #0,0,3: 67:[59, 126] Operation: 71+55=126
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[71, 114], Operations: ['92-37=55', '59+55=114']
Exploring Operation: 71+114=185, Resulting Numbers: [185]
185,67 unequal: No Solution
Exploring Operation: 114-71=43, Resulting Numbers: [43]
43,67 unequal: No Solution
Exploring Operation: 71*114=8094, Resulting Numbers: [8094]
8094,67 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 #0,0,0
Current State: 67:[59, 16], Operations: ['92-37=55', '71-55=16']
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,67 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,67 unequal: No Solution
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,67 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 #0,0,2
Current State: 67:[55, 12], Operations: ['92-37=55', '71-59=12']
Exploring Operation: 55*12=660, Resulting Numbers: [660]
660,67 unequal: No Solution
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[37, 71, 92, 59], Operations: []
Exploring Operation: 92-37=55, Resulting Numbers: [71, 59, 55]
Generated Node #0,0: 67:[71, 59, 55] Operation: 92-37=55
Moving to Node #0,0
Current State: 67:[71, 59, 55], Operations: ['92-37=55']
Exploring Operation: 71-59=12, Resulting Numbers: [55, 12]
Generated Node #0,0,2: 67:[55, 12] Operation: 71-59=12
Moving to Node #0,0,2
Current State: 67:[55, 12], Operations: ['92-37=55', '71-59=12']
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
29,
61,
2,
76
] | 59 | [
"76-61=15",
"2*15=30",
"29+30=59"
] | Current State: 59:[29, 61, 2, 76], Operations: []
Exploring Operation: 76-61=15, Resulting Numbers: [29, 2, 15]
Generated Node #2: [29, 2, 15] from Operation: 76-61=15
Current State: 59:[29, 2, 15], Operations: ['76-61=15']
Exploring Operation: 2*15=30, Resulting Numbers: [29, 30]
Generated Node #3: [29, 30] from Operation: 2*15=30
Current State: 59:[29, 30], Operations: ['76-61=15', '2*15=30']
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[29, 61, 2, 76], Operations: []
Exploring Operation: 61-2=59, Resulting Numbers: [29, 76, 59]
Generated Node #0,0: 59:[29, 76, 59] Operation: 61-2=59
Exploring Operation: 29+2=31, Resulting Numbers: [61, 76, 31]
Generated Node #0,1: 59:[61, 76, 31] Operation: 29+2=31
Exploring Operation: 29*2=58, Resulting Numbers: [61, 76, 58]
Generated Node #0,2: 59:[61, 76, 58] Operation: 29*2=58
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[61, 76, 58], Operations: ['29*2=58']
Exploring Operation: 76-58=18, Resulting Numbers: [61, 18]
Generated Node #0,2,0: 59:[61, 18] Operation: 76-58=18
Exploring Operation: 76-61=15, Resulting Numbers: [58, 15]
Generated Node #0,2,1: 59:[58, 15] Operation: 76-61=15
Exploring Operation: 61-58=3, Resulting Numbers: [76, 3]
Generated Node #0,2,2: 59:[76, 3] Operation: 61-58=3
Moving to Node #0,2,0
Current State: 59:[61, 18], Operations: ['29*2=58', '76-58=18']
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 61*18=1098, Resulting Numbers: [1098]
1098,59 unequal: No Solution
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[58, 15], Operations: ['29*2=58', '76-61=15']
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,59 unequal: No Solution
Exploring Operation: 58*15=870, Resulting Numbers: [870]
870,59 unequal: No Solution
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[76, 3], Operations: ['29*2=58', '61-58=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 76*3=228, Resulting Numbers: [228]
228,59 unequal: No Solution
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[29, 76, 59], Operations: ['61-2=59']
Exploring Operation: 76-29=47, Resulting Numbers: [59, 47]
Generated Node #0,0,0: 59:[59, 47] Operation: 76-29=47
Exploring Operation: 29+76=105, Resulting Numbers: [59, 105]
Generated Node #0,0,1: 59:[59, 105] Operation: 29+76=105
Exploring Operation: 29+59=88, Resulting Numbers: [76, 88]
Generated Node #0,0,2: 59:[76, 88] Operation: 29+59=88
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[59, 47], Operations: ['61-2=59', '76-29=47']
Exploring Operation: 59+47=106, Resulting Numbers: [106]
106,59 unequal: No Solution
Exploring Operation: 59*47=2773, Resulting Numbers: [2773]
2773,59 unequal: No Solution
Exploring Operation: 59-47=12, Resulting Numbers: [12]
12,59 unequal: No Solution
No 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: 59:[59, 105], Operations: ['61-2=59', '29+76=105']
Exploring Operation: 105-59=46, Resulting Numbers: [46]
46,59 unequal: No Solution
Exploring Operation: 59+105=164, Resulting Numbers: [164]
164,59 unequal: No Solution
Exploring Operation: 59*105=6195, Resulting Numbers: [6195]
6195,59 unequal: No Solution
No 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: 59:[76, 88], Operations: ['61-2=59', '29+59=88']
Exploring Operation: 76*88=6688, Resulting Numbers: [6688]
6688,59 unequal: No Solution
Exploring Operation: 76+88=164, Resulting Numbers: [164]
164,59 unequal: No Solution
Exploring Operation: 88-76=12, Resulting Numbers: [12]
12,59 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: 59:[61, 76, 31], Operations: ['29+2=31']
Exploring Operation: 76-31=45, Resulting Numbers: [61, 45]
Generated Node #0,1,0: 59:[61, 45] Operation: 76-31=45
Exploring Operation: 61-31=30, Resulting Numbers: [76, 30]
Generated Node #0,1,1: 59:[76, 30] Operation: 61-31=30
Exploring Operation: 61+31=92, Resulting Numbers: [76, 92]
Generated Node #0,1,2: 59:[76, 92] Operation: 61+31=92
Moving to Node #0,1,0
Current State: 59:[61, 45], Operations: ['29+2=31', '76-31=45']
Exploring Operation: 61*45=2745, Resulting Numbers: [2745]
2745,59 unequal: No Solution
Exploring Operation: 61-45=16, Resulting Numbers: [16]
16,59 unequal: No Solution
Exploring Operation: 61+45=106, Resulting Numbers: [106]
106,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[76, 30], Operations: ['29+2=31', '61-31=30']
Exploring Operation: 76-30=46, Resulting Numbers: [46]
46,59 unequal: No Solution
Exploring Operation: 76+30=106, Resulting Numbers: [106]
106,59 unequal: No Solution
Exploring Operation: 76*30=2280, Resulting Numbers: [2280]
2280,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[76, 92], Operations: ['29+2=31', '61+31=92']
Exploring Operation: 76*92=6992, Resulting Numbers: [6992]
6992,59 unequal: No Solution
Exploring Operation: 76+92=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 92-76=16, Resulting Numbers: [16]
16,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
72,
45,
85,
5
] | 46 | [
"45+85=130",
"130/5=26",
"72-26=46"
] | Current State: 46:[72, 45, 85, 5], Operations: []
Exploring Operation: 45+85=130, Resulting Numbers: [72, 5, 130]
Generated Node #2: [72, 5, 130] from Operation: 45+85=130
Current State: 46:[72, 5, 130], Operations: ['45+85=130']
Exploring Operation: 130/5=26, Resulting Numbers: [72, 26]
Generated Node #3: [72, 26] from Operation: 130/5=26
Current State: 46:[72, 26], Operations: ['45+85=130', '130/5=26']
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[72, 45, 85, 5], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [72, 45, 17]
Generated Node #0,0: 46:[72, 45, 17] Operation: 85/5=17
Exploring Operation: 85-72=13, Resulting Numbers: [45, 5, 13]
Generated Node #0,1: 46:[45, 5, 13] Operation: 85-72=13
Exploring Operation: 72-5=67, Resulting Numbers: [45, 85, 67]
Generated Node #0,2: 46:[45, 85, 67] Operation: 72-5=67
Exploring Operation: 85-45=40, Resulting Numbers: [72, 5, 40]
Generated Node #0,3: 46:[72, 5, 40] Operation: 85-45=40
Exploring Operation: 72-45=27, Resulting Numbers: [85, 5, 27]
Generated Node #0,4: 46:[85, 5, 27] Operation: 72-45=27
Moving to Node #0,1
Current State: 46:[45, 5, 13], Operations: ['85-72=13']
Exploring Operation: 45+5=50, Resulting Numbers: [13, 50]
Generated Node #0,1,0: 46:[13, 50] Operation: 45+5=50
Exploring Operation: 5+13=18, Resulting Numbers: [45, 18]
Generated Node #0,1,1: 46:[45, 18] Operation: 5+13=18
Exploring Operation: 45+13=58, Resulting Numbers: [5, 58]
Generated Node #0,1,2: 46:[5, 58] Operation: 45+13=58
Exploring Operation: 13-5=8, Resulting Numbers: [45, 8]
Generated Node #0,1,3: 46:[45, 8] Operation: 13-5=8
Exploring Operation: 45-13=32, Resulting Numbers: [5, 32]
Generated Node #0,1,4: 46:[5, 32] Operation: 45-13=32
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[45, 18], Operations: ['85-72=13', '5+13=18']
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 45*18=810, Resulting Numbers: [810]
810,46 unequal: No Solution
Exploring Operation: 45+18=63, Resulting Numbers: [63]
63,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 46:[45, 8], Operations: ['85-72=13', '13-5=8']
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 45*8=360, Resulting Numbers: [360]
360,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 46:[5, 32], Operations: ['85-72=13', '45-13=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,46 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[13, 50], Operations: ['85-72=13', '45+5=50']
Exploring Operation: 13*50=650, Resulting Numbers: [650]
650,46 unequal: No Solution
Exploring Operation: 13+50=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[5, 58], Operations: ['85-72=13', '45+13=58']
Exploring Operation: 5+58=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 5*58=290, Resulting Numbers: [290]
290,46 unequal: No Solution
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 46:[72, 45, 17], Operations: ['85/5=17']
Exploring Operation: 72-45=27, Resulting Numbers: [17, 27]
Generated Node #0,0,0: 46:[17, 27] Operation: 72-45=27
Exploring Operation: 45+17=62, Resulting Numbers: [72, 62]
Generated Node #0,0,1: 46:[72, 62] Operation: 45+17=62
Exploring Operation: 72+17=89, Resulting Numbers: [45, 89]
Generated Node #0,0,2: 46:[45, 89] Operation: 72+17=89
Exploring Operation: 45-17=28, Resulting Numbers: [72, 28]
Generated Node #0,0,3: 46:[72, 28] Operation: 45-17=28
Exploring Operation: 72-17=55, Resulting Numbers: [45, 55]
Generated Node #0,0,4: 46:[45, 55] Operation: 72-17=55
Moving to Node #0,3
Current State: 46:[72, 5, 40], Operations: ['85-45=40']
Exploring Operation: 5+40=45, Resulting Numbers: [72, 45]
Generated Node #0,3,0: 46:[72, 45] Operation: 5+40=45
Exploring Operation: 72-5=67, Resulting Numbers: [40, 67]
Generated Node #0,3,1: 46:[40, 67] Operation: 72-5=67
Exploring Operation: 72+5=77, Resulting Numbers: [40, 77]
Generated Node #0,3,2: 46:[40, 77] Operation: 72+5=77
Exploring Operation: 40/5=8, Resulting Numbers: [72, 8]
Generated Node #0,3,3: 46:[72, 8] Operation: 40/5=8
Exploring Operation: 72-40=32, Resulting Numbers: [5, 32]
Generated Node #0,3,4: 46:[5, 32] Operation: 72-40=32
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 46:[5, 32], Operations: ['85-45=40', '72-40=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,46 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 46:[72, 45], Operations: ['85-45=40', '5+40=45']
Exploring Operation: 72*45=3240, Resulting Numbers: [3240]
3240,46 unequal: No Solution
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 72+45=117, Resulting Numbers: [117]
117,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 46:[40, 67], Operations: ['85-45=40', '72-5=67']
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 40*67=2680, Resulting Numbers: [2680]
2680,46 unequal: No Solution
Exploring Operation: 40+67=107, Resulting Numbers: [107]
107,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 46:[72, 8], Operations: ['85-45=40', '40/5=8']
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,46 unequal: No Solution
Exploring Operation: 72*8=576, Resulting Numbers: [576]
576,46 unequal: No Solution
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 46:[40, 77], Operations: ['85-45=40', '72+5=77']
Exploring Operation: 40*77=3080, Resulting Numbers: [3080]
3080,46 unequal: No Solution
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 40+77=117, Resulting Numbers: [117]
117,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 46:[85, 5, 27], Operations: ['72-45=27']
Exploring Operation: 85+5=90, Resulting Numbers: [27, 90]
Generated Node #0,4,0: 46:[27, 90] Operation: 85+5=90
Exploring Operation: 85-27=58, Resulting Numbers: [5, 58]
Generated Node #0,4,1: 46:[5, 58] Operation: 85-27=58
Exploring Operation: 85-5=80, Resulting Numbers: [27, 80]
Generated Node #0,4,2: 46:[27, 80] Operation: 85-5=80
Exploring Operation: 85/5=17, Resulting Numbers: [27, 17]
Generated Node #0,4,3: 46:[27, 17] Operation: 85/5=17
Exploring Operation: 27-5=22, Resulting Numbers: [85, 22]
Generated Node #0,4,4: 46:[85, 22] Operation: 27-5=22
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 46:[27, 17], Operations: ['72-45=27', '85/5=17']
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 27+17=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 27*17=459, Resulting Numbers: [459]
459,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 46:[5, 58], Operations: ['72-45=27', '85-27=58']
Exploring Operation: 5+58=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 5*58=290, Resulting Numbers: [290]
290,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 46:[27, 80], Operations: ['72-45=27', '85-5=80']
Exploring Operation: 80-27=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 27+80=107, Resulting Numbers: [107]
107,46 unequal: No Solution
Exploring Operation: 27*80=2160, Resulting Numbers: [2160]
2160,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 46:[85, 22], Operations: ['72-45=27', '27-5=22']
Exploring Operation: 85*22=1870, Resulting Numbers: [1870]
1870,46 unequal: No Solution
Exploring Operation: 85+22=107, Resulting Numbers: [107]
107,46 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 46:[27, 90], Operations: ['72-45=27', '85+5=90']
Exploring Operation: 27*90=2430, Resulting Numbers: [2430]
2430,46 unequal: No Solution
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 27+90=117, Resulting Numbers: [117]
117,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 46:[45, 85, 67], Operations: ['72-5=67']
Exploring Operation: 45+67=112, Resulting Numbers: [85, 112]
Generated Node #0,2,0: 46:[85, 112] Operation: 45+67=112
Exploring Operation: 85-67=18, Resulting Numbers: [45, 18]
Generated Node #0,2,1: 46:[45, 18] Operation: 85-67=18
Exploring Operation: 67-45=22, Resulting Numbers: [85, 22]
Generated Node #0,2,2: 46:[85, 22] Operation: 67-45=22
Exploring Operation: 85-45=40, Resulting Numbers: [67, 40]
Generated Node #0,2,3: 46:[67, 40] Operation: 85-45=40
Exploring Operation: 45+85=130, Resulting Numbers: [67, 130]
Generated Node #0,2,4: 46:[67, 130] Operation: 45+85=130
Moving to Node #0,2,1
Current State: 46:[45, 18], Operations: ['72-5=67', '85-67=18']
Exploring Operation: 45+18=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 45*18=810, Resulting Numbers: [810]
810,46 unequal: No Solution
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[17, 27], Operations: ['85/5=17', '72-45=27']
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,46 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Moving to Node #0,0,4
Current State: 46:[45, 55], Operations: ['85/5=17', '72-17=55']
Exploring Operation: 45*55=2475, Resulting Numbers: [2475]
2475,46 unequal: No Solution
Exploring Operation: 45+55=100, Resulting Numbers: [100]
100,46 unequal: No Solution
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[67, 40], Operations: ['72-5=67', '85-45=40']
Exploring Operation: 67+40=107, Resulting Numbers: [107]
107,46 unequal: No Solution
Exploring Operation: 67*40=2680, Resulting Numbers: [2680]
2680,46 unequal: No Solution
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[72, 28], Operations: ['85/5=17', '45-17=28']
Exploring Operation: 72*28=2016, Resulting Numbers: [2016]
2016,46 unequal: No Solution
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,46 unequal: No Solution
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[85, 22], Operations: ['72-5=67', '67-45=22']
Exploring Operation: 85*22=1870, Resulting Numbers: [1870]
1870,46 unequal: No Solution
Exploring Operation: 85+22=107, Resulting Numbers: [107]
107,46 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[72, 62], Operations: ['85/5=17', '45+17=62']
Exploring Operation: 72-62=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 72*62=4464, Resulting Numbers: [4464]
4464,46 unequal: No Solution
Exploring Operation: 72+62=134, Resulting Numbers: [134]
134,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[45, 89], Operations: ['85/5=17', '72+17=89']
Exploring Operation: 89-45=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 45*89=4005, Resulting Numbers: [4005]
4005,46 unequal: No Solution
Exploring Operation: 45+89=134, Resulting Numbers: [134]
134,46 unequal: No Solution
Moving to Node #0,2,4
Current State: 46:[67, 130], Operations: ['72-5=67', '45+85=130']
Exploring Operation: 67*130=8710, Resulting Numbers: [8710]
8710,46 unequal: No Solution
Exploring Operation: 67+130=197, Resulting Numbers: [197]
197,46 unequal: No Solution
Exploring Operation: 130-67=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Moving to Node #0,2,0
Current State: 46:[85, 112], Operations: ['72-5=67', '45+67=112']
Exploring Operation: 112-85=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 85+112=197, Resulting Numbers: [197]
197,46 unequal: No Solution
Exploring Operation: 85*112=9520, Resulting Numbers: [9520]
9520,46 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
57,
15,
12,
59
] | 53 | [
"57+15=72",
"72/12=6",
"59-6=53"
] | Current State: 53:[57, 15, 12, 59], Operations: []
Exploring Operation: 57+15=72, Resulting Numbers: [12, 59, 72]
Generated Node #2: [12, 59, 72] from Operation: 57+15=72
Current State: 53:[12, 59, 72], Operations: ['57+15=72']
Exploring Operation: 72/12=6, Resulting Numbers: [59, 6]
Generated Node #3: [59, 6] from Operation: 72/12=6
Current State: 53:[59, 6], Operations: ['57+15=72', '72/12=6']
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[57, 15, 12, 59], Operations: []
Exploring Operation: 57-15=42, Resulting Numbers: [12, 59, 42]
Generated Node #0,0: 53:[12, 59, 42] Operation: 57-15=42
Exploring Operation: 59-12=47, Resulting Numbers: [57, 15, 47]
Generated Node #0,1: 53:[57, 15, 47] Operation: 59-12=47
Exploring Operation: 57-12=45, Resulting Numbers: [15, 59, 45]
Generated Node #0,2: 53:[15, 59, 45] Operation: 57-12=45
Exploring Operation: 15+12=27, Resulting Numbers: [57, 59, 27]
Generated Node #0,3: 53:[57, 59, 27] Operation: 15+12=27
Exploring Operation: 59-15=44, Resulting Numbers: [57, 12, 44]
Generated Node #0,4: 53:[57, 12, 44] Operation: 59-15=44
Moving to Node #0,3
Current State: 53:[57, 59, 27], Operations: ['15+12=27']
Exploring Operation: 59+27=86, Resulting Numbers: [57, 86]
Generated Node #0,3,0: 53:[57, 86] Operation: 59+27=86
Exploring Operation: 59-57=2, Resulting Numbers: [27, 2]
Generated Node #0,3,1: 53:[27, 2] Operation: 59-57=2
Exploring Operation: 57-27=30, Resulting Numbers: [59, 30]
Generated Node #0,3,2: 53:[59, 30] Operation: 57-27=30
Exploring Operation: 59-27=32, Resulting Numbers: [57, 32]
Generated Node #0,3,3: 53:[57, 32] Operation: 59-27=32
Exploring Operation: 57+27=84, Resulting Numbers: [59, 84]
Generated Node #0,3,4: 53:[59, 84] Operation: 57+27=84
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 53:[57, 32], Operations: ['15+12=27', '59-27=32']
Exploring Operation: 57*32=1824, Resulting Numbers: [1824]
1824,53 unequal: No Solution
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 57+32=89, Resulting Numbers: [89]
89,53 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 #0,3,2
Current State: 53:[59, 30], Operations: ['15+12=27', '57-27=30']
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 59+30=89, Resulting Numbers: [89]
89,53 unequal: No Solution
Exploring Operation: 59*30=1770, Resulting Numbers: [1770]
1770,53 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 #0,3,0
Current State: 53:[57, 86], Operations: ['15+12=27', '59+27=86']
Exploring Operation: 57*86=4902, Resulting Numbers: [4902]
4902,53 unequal: No Solution
Exploring Operation: 86-57=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 57+86=143, Resulting Numbers: [143]
143,53 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 #0,3,4
Current State: 53:[59, 84], Operations: ['15+12=27', '57+27=84']
Exploring Operation: 84-59=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 59+84=143, Resulting Numbers: [143]
143,53 unequal: No Solution
Exploring Operation: 59*84=4956, Resulting Numbers: [4956]
4956,53 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 #0,3,1
Current State: 53:[27, 2], Operations: ['15+12=27', '59-57=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 53:[57, 15, 47], Operations: ['59-12=47']
Exploring Operation: 15+47=62, Resulting Numbers: [57, 62]
Generated Node #0,1,0: 53:[57, 62] Operation: 15+47=62
Exploring Operation: 47-15=32, Resulting Numbers: [57, 32]
Generated Node #0,1,1: 53:[57, 32] Operation: 47-15=32
Exploring Operation: 57-47=10, Resulting Numbers: [15, 10]
Generated Node #0,1,2: 53:[15, 10] Operation: 57-47=10
Exploring Operation: 57-15=42, Resulting Numbers: [47, 42]
Generated Node #0,1,3: 53:[47, 42] Operation: 57-15=42
Exploring Operation: 57+15=72, Resulting Numbers: [47, 72]
Generated Node #0,1,4: 53:[47, 72] Operation: 57+15=72
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[57, 62], Operations: ['59-12=47', '15+47=62']
Exploring Operation: 57*62=3534, Resulting Numbers: [3534]
3534,53 unequal: No Solution
Exploring Operation: 57+62=119, Resulting Numbers: [119]
119,53 unequal: No Solution
Exploring Operation: 62-57=5, Resulting Numbers: [5]
5,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 53:[47, 42], Operations: ['59-12=47', '57-15=42']
Exploring Operation: 47*42=1974, Resulting Numbers: [1974]
1974,53 unequal: No Solution
Exploring Operation: 47-42=5, Resulting Numbers: [5]
5,53 unequal: No Solution
Exploring Operation: 47+42=89, Resulting Numbers: [89]
89,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[57, 32], Operations: ['59-12=47', '47-15=32']
Exploring Operation: 57+32=89, Resulting Numbers: [89]
89,53 unequal: No Solution
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 57*32=1824, Resulting Numbers: [1824]
1824,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 53:[47, 72], Operations: ['59-12=47', '57+15=72']
Exploring Operation: 47*72=3384, Resulting Numbers: [3384]
3384,53 unequal: No Solution
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 47+72=119, Resulting Numbers: [119]
119,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 53:[15, 10], Operations: ['59-12=47', '57-47=10']
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,53 unequal: No Solution
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,53 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: 53:[15, 59, 45], Operations: ['57-12=45']
Exploring Operation: 45/15=3, Resulting Numbers: [59, 3]
Generated Node #0,2,0: 53:[59, 3] Operation: 45/15=3
Exploring Operation: 45-15=30, Resulting Numbers: [59, 30]
Generated Node #0,2,1: 53:[59, 30] Operation: 45-15=30
Exploring Operation: 15+45=60, Resulting Numbers: [59, 60]
Generated Node #0,2,2: 53:[59, 60] Operation: 15+45=60
Exploring Operation: 59-15=44, Resulting Numbers: [45, 44]
Generated Node #0,2,3: 53:[45, 44] Operation: 59-15=44
Exploring Operation: 15+59=74, Resulting Numbers: [45, 74]
Generated Node #0,2,4: 53:[45, 74] Operation: 15+59=74
Moving to Node #0,4
Current State: 53:[57, 12, 44], Operations: ['59-15=44']
Exploring Operation: 12+44=56, Resulting Numbers: [57, 56]
Generated Node #0,4,0: 53:[57, 56] Operation: 12+44=56
Exploring Operation: 57-44=13, Resulting Numbers: [12, 13]
Generated Node #0,4,1: 53:[12, 13] Operation: 57-44=13
Exploring Operation: 57-12=45, Resulting Numbers: [44, 45]
Generated Node #0,4,2: 53:[44, 45] Operation: 57-12=45
Exploring Operation: 44-12=32, Resulting Numbers: [57, 32]
Generated Node #0,4,3: 53:[57, 32] Operation: 44-12=32
Exploring Operation: 57+12=69, Resulting Numbers: [44, 69]
Generated Node #0,4,4: 53:[44, 69] Operation: 57+12=69
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 53:[57, 56], Operations: ['59-15=44', '12+44=56']
Exploring Operation: 57*56=3192, Resulting Numbers: [3192]
3192,53 unequal: No Solution
Exploring Operation: 57-56=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 57+56=113, Resulting Numbers: [113]
113,53 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 #0,4,2
Current State: 53:[44, 45], Operations: ['59-15=44', '57-12=45']
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 44+45=89, Resulting Numbers: [89]
89,53 unequal: No Solution
Exploring Operation: 44*45=1980, Resulting Numbers: [1980]
1980,53 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 #0,4,3
Current State: 53:[57, 32], Operations: ['59-15=44', '44-12=32']
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 57*32=1824, Resulting Numbers: [1824]
1824,53 unequal: No Solution
Exploring Operation: 57+32=89, Resulting Numbers: [89]
89,53 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 #0,4,4
Current State: 53:[44, 69], Operations: ['59-15=44', '57+12=69']
Exploring Operation: 44+69=113, Resulting Numbers: [113]
113,53 unequal: No Solution
Exploring Operation: 44*69=3036, Resulting Numbers: [3036]
3036,53 unequal: No Solution
Exploring Operation: 69-44=25, Resulting Numbers: [25]
25,53 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 #0,4,1
Current State: 53:[12, 13], Operations: ['59-15=44', '57-44=13']
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,53 unequal: No Solution
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,53 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: 53:[12, 59, 42], Operations: ['57-15=42']
Exploring Operation: 12+59=71, Resulting Numbers: [42, 71]
Generated Node #0,0,0: 53:[42, 71] Operation: 12+59=71
Exploring Operation: 12+42=54, Resulting Numbers: [59, 54]
Generated Node #0,0,1: 53:[59, 54] Operation: 12+42=54
Exploring Operation: 59-42=17, Resulting Numbers: [12, 17]
Generated Node #0,0,2: 53:[12, 17] Operation: 59-42=17
Exploring Operation: 59-12=47, Resulting Numbers: [42, 47]
Generated Node #0,0,3: 53:[42, 47] Operation: 59-12=47
Exploring Operation: 42-12=30, Resulting Numbers: [59, 30]
Generated Node #0,0,4: 53:[59, 30] Operation: 42-12=30
Moving to Node #0,0,1
Current State: 53:[59, 54], Operations: ['57-15=42', '12+42=54']
Exploring Operation: 59+54=113, Resulting Numbers: [113]
113,53 unequal: No Solution
Exploring Operation: 59*54=3186, Resulting Numbers: [3186]
3186,53 unequal: No Solution
Exploring Operation: 59-54=5, Resulting Numbers: [5]
5,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[59, 60], Operations: ['57-12=45', '15+45=60']
Exploring Operation: 59*60=3540, Resulting Numbers: [3540]
3540,53 unequal: No Solution
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 59+60=119, Resulting Numbers: [119]
119,53 unequal: No Solution
Moving to Node #0,0,3
Current State: 53:[42, 47], Operations: ['57-15=42', '59-12=47']
Exploring Operation: 42+47=89, Resulting Numbers: [89]
89,53 unequal: No Solution
Exploring Operation: 42*47=1974, Resulting Numbers: [1974]
1974,53 unequal: No Solution
Exploring Operation: 47-42=5, Resulting Numbers: [5]
5,53 unequal: No Solution
Moving to Node #0,2,3
Current State: 53:[45, 44], Operations: ['57-12=45', '59-15=44']
Exploring Operation: 45+44=89, Resulting Numbers: [89]
89,53 unequal: No Solution
Exploring Operation: 45*44=1980, Resulting Numbers: [1980]
1980,53 unequal: No Solution
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[59, 30], Operations: ['57-12=45', '45-15=30']
Exploring Operation: 59*30=1770, Resulting Numbers: [1770]
1770,53 unequal: No Solution
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 59+30=89, Resulting Numbers: [89]
89,53 unequal: No Solution
Moving to Node #0,0,4
Current State: 53:[59, 30], Operations: ['57-15=42', '42-12=30']
Exploring Operation: 59*30=1770, Resulting Numbers: [1770]
1770,53 unequal: No Solution
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 59+30=89, Resulting Numbers: [89]
89,53 unequal: No Solution
Moving to Node #0,2,4
Current State: 53:[45, 74], Operations: ['57-12=45', '15+59=74']
Exploring Operation: 45+74=119, Resulting Numbers: [119]
119,53 unequal: No Solution
Exploring Operation: 45*74=3330, Resulting Numbers: [3330]
3330,53 unequal: No Solution
Exploring Operation: 74-45=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[42, 71], Operations: ['57-15=42', '12+59=71']
Exploring Operation: 42+71=113, Resulting Numbers: [113]
113,53 unequal: No Solution
Exploring Operation: 71-42=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 42*71=2982, Resulting Numbers: [2982]
2982,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[59, 3], Operations: ['57-12=45', '45/15=3']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,53 unequal: No Solution
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,53 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[12, 17], Operations: ['57-15=42', '59-42=17']
Exploring Operation: 12+17=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 12*17=204, Resulting Numbers: [204]
204,53 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,53 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
86,
79,
10,
98
] | 28 | [
"86-79=7",
"10*7=70",
"98-70=28"
] | Current State: 28:[86, 79, 10, 98], Operations: []
Exploring Operation: 86-79=7, Resulting Numbers: [10, 98, 7]
Generated Node #2: [10, 98, 7] from Operation: 86-79=7
Current State: 28:[10, 98, 7], Operations: ['86-79=7']
Exploring Operation: 10*7=70, Resulting Numbers: [98, 70]
Generated Node #3: [98, 70] from Operation: 10*7=70
Current State: 28:[98, 70], Operations: ['86-79=7', '10*7=70']
Exploring Operation: 98-70=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[86, 79, 10, 98], Operations: []
Exploring Operation: 98-86=12, Resulting Numbers: [79, 10, 12]
Generated Node #0,0: 28:[79, 10, 12] Operation: 98-86=12
Moving to Node #0,0
Current State: 28:[79, 10, 12], Operations: ['98-86=12']
Exploring Operation: 79-12=67, Resulting Numbers: [10, 67]
Generated Node #0,0,0: 28:[10, 67] Operation: 79-12=67
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[10, 67], Operations: ['98-86=12', '79-12=67']
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,28 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 |
[
6,
53,
11,
86
] | 79 | [
"53-11=42",
"42/6=7",
"86-7=79"
] | Current State: 79:[6, 53, 11, 86], Operations: []
Exploring Operation: 53-11=42, Resulting Numbers: [6, 86, 42]
Generated Node #2: [6, 86, 42] from Operation: 53-11=42
Current State: 79:[6, 86, 42], Operations: ['53-11=42']
Exploring Operation: 42/6=7, Resulting Numbers: [86, 7]
Generated Node #3: [86, 7] from Operation: 42/6=7
Current State: 79:[86, 7], Operations: ['53-11=42', '42/6=7']
Exploring Operation: 86-7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[6, 53, 11, 86], Operations: []
Exploring Operation: 6+53=59, Resulting Numbers: [11, 86, 59]
Generated Node #0,0: 79:[11, 86, 59] Operation: 6+53=59
Exploring Operation: 6+11=17, Resulting Numbers: [53, 86, 17]
Generated Node #0,1: 79:[53, 86, 17] Operation: 6+11=17
Exploring Operation: 6*11=66, Resulting Numbers: [53, 86, 66]
Generated Node #0,2: 79:[53, 86, 66] Operation: 6*11=66
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[53, 86, 66], Operations: ['6*11=66']
Exploring Operation: 86-53=33, Resulting Numbers: [66, 33]
Generated Node #0,2,0: 79:[66, 33] Operation: 86-53=33
Exploring Operation: 53+66=119, Resulting Numbers: [86, 119]
Generated Node #0,2,1: 79:[86, 119] Operation: 53+66=119
Exploring Operation: 53+86=139, Resulting Numbers: [66, 139]
Generated Node #0,2,2: 79:[66, 139] Operation: 53+86=139
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 79:[86, 119], Operations: ['6*11=66', '53+66=119']
Exploring Operation: 86+119=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 119-86=33, Resulting Numbers: [33]
33,79 unequal: No Solution
Exploring Operation: 86*119=10234, Resulting Numbers: [10234]
10234,79 unequal: No Solution
No 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: 79:[66, 33], Operations: ['6*11=66', '86-53=33']
Exploring Operation: 66-33=33, Resulting Numbers: [33]
33,79 unequal: No Solution
Exploring Operation: 66+33=99, Resulting Numbers: [99]
99,79 unequal: No Solution
Exploring Operation: 66/33=2, Resulting Numbers: [2]
2,79 unequal: No Solution
No 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: 79:[66, 139], Operations: ['6*11=66', '53+86=139']
Exploring Operation: 66+139=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 66*139=9174, Resulting Numbers: [9174]
9174,79 unequal: No Solution
Exploring Operation: 139-66=73, Resulting Numbers: [73]
73,79 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: 79:[11, 86, 59], Operations: ['6+53=59']
Exploring Operation: 11+59=70, Resulting Numbers: [86, 70]
Generated Node #0,0,0: 79:[86, 70] Operation: 11+59=70
Exploring Operation: 11+86=97, Resulting Numbers: [59, 97]
Generated Node #0,0,1: 79:[59, 97] Operation: 11+86=97
Exploring Operation: 86-11=75, Resulting Numbers: [59, 75]
Generated Node #0,0,2: 79:[59, 75] Operation: 86-11=75
Moving to Node #0,0,0
Current State: 79:[86, 70], Operations: ['6+53=59', '11+59=70']
Exploring Operation: 86-70=16, Resulting Numbers: [16]
16,79 unequal: No Solution
Exploring Operation: 86*70=6020, Resulting Numbers: [6020]
6020,79 unequal: No Solution
Exploring Operation: 86+70=156, Resulting Numbers: [156]
156,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[59, 75], Operations: ['6+53=59', '86-11=75']
Exploring Operation: 59*75=4425, Resulting Numbers: [4425]
4425,79 unequal: No Solution
Exploring Operation: 59+75=134, Resulting Numbers: [134]
134,79 unequal: No Solution
Exploring Operation: 75-59=16, Resulting Numbers: [16]
16,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[59, 97], Operations: ['6+53=59', '11+86=97']
Exploring Operation: 59*97=5723, Resulting Numbers: [5723]
5723,79 unequal: No Solution
Exploring Operation: 59+97=156, Resulting Numbers: [156]
156,79 unequal: No Solution
Exploring Operation: 97-59=38, Resulting Numbers: [38]
38,79 unequal: No Solution
No 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: 79:[53, 86, 17], Operations: ['6+11=17']
Exploring Operation: 53-17=36, Resulting Numbers: [86, 36]
Generated Node #0,1,0: 79:[86, 36] Operation: 53-17=36
Exploring Operation: 86-17=69, Resulting Numbers: [53, 69]
Generated Node #0,1,1: 79:[53, 69] Operation: 86-17=69
Exploring Operation: 53+17=70, Resulting Numbers: [86, 70]
Generated Node #0,1,2: 79:[86, 70] Operation: 53+17=70
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 79:[86, 70], Operations: ['6+11=17', '53+17=70']
Exploring Operation: 86*70=6020, Resulting Numbers: [6020]
6020,79 unequal: No Solution
Exploring Operation: 86+70=156, Resulting Numbers: [156]
156,79 unequal: No Solution
Exploring Operation: 86-70=16, Resulting Numbers: [16]
16,79 unequal: No Solution
No 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: 79:[53, 69], Operations: ['6+11=17', '86-17=69']
Exploring Operation: 53+69=122, Resulting Numbers: [122]
122,79 unequal: No Solution
Exploring Operation: 69-53=16, Resulting Numbers: [16]
16,79 unequal: No Solution
Exploring Operation: 53*69=3657, Resulting Numbers: [3657]
3657,79 unequal: No Solution
No 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: 79:[86, 36], Operations: ['6+11=17', '53-17=36']
Exploring Operation: 86*36=3096, Resulting Numbers: [3096]
3096,79 unequal: No Solution
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,79 unequal: No Solution
Exploring Operation: 86+36=122, Resulting Numbers: [122]
122,79 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 |
[
4,
60,
48,
10
] | 32 | [
"60/4=15",
"48*10=480",
"480/15=32"
] | Current State: 32:[4, 60, 48, 10], Operations: []
Exploring Operation: 60/4=15, Resulting Numbers: [48, 10, 15]
Generated Node #2: [48, 10, 15] from Operation: 60/4=15
Current State: 32:[48, 10, 15], Operations: ['60/4=15']
Exploring Operation: 48*10=480, Resulting Numbers: [15, 480]
Generated Node #3: [15, 480] from Operation: 48*10=480
Current State: 32:[15, 480], Operations: ['60/4=15', '48*10=480']
Exploring Operation: 480/15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[4, 60, 48, 10], Operations: []
Exploring Operation: 60-10=50, Resulting Numbers: [4, 48, 50]
Generated Node #0,0: 32:[4, 48, 50] Operation: 60-10=50
Exploring Operation: 60/4=15, Resulting Numbers: [48, 10, 15]
Generated Node #0,1: 32:[48, 10, 15] Operation: 60/4=15
Exploring Operation: 60/10=6, Resulting Numbers: [4, 48, 6]
Generated Node #0,2: 32:[4, 48, 6] Operation: 60/10=6
Exploring Operation: 60-48=12, Resulting Numbers: [4, 10, 12]
Generated Node #0,3: 32:[4, 10, 12] Operation: 60-48=12
Exploring Operation: 48/4=12, Resulting Numbers: [60, 10, 12]
Generated Node #0,4: 32:[60, 10, 12] Operation: 48/4=12
Start Sub Search at level 1: Moving to Node #0,3
Current State: 32:[4, 10, 12], Operations: ['60-48=12']
Exploring Operation: 12/4=3, Resulting Numbers: [10, 3]
Generated Node #0,3,0: 32:[10, 3] Operation: 12/4=3
Exploring Operation: 12-4=8, Resulting Numbers: [10, 8]
Generated Node #0,3,1: 32:[10, 8] Operation: 12-4=8
Exploring Operation: 4+12=16, Resulting Numbers: [10, 16]
Generated Node #0,3,2: 32:[10, 16] Operation: 4+12=16
Exploring Operation: 4+10=14, Resulting Numbers: [12, 14]
Generated Node #0,3,3: 32:[12, 14] Operation: 4+10=14
Exploring Operation: 12-10=2, Resulting Numbers: [4, 2]
Generated Node #0,3,4: 32:[4, 2] Operation: 12-10=2
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 32:[4, 2], Operations: ['60-48=12', '12-10=2']
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
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 32:[10, 8], Operations: ['60-48=12', '12-4=8']
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,32 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 32:[10, 16], Operations: ['60-48=12', '4+12=16']
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,32 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 32:[10, 3], Operations: ['60-48=12', '12/4=3']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,32 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 32:[12, 14], Operations: ['60-48=12', '4+10=14']
Exploring Operation: 12*14=168, Resulting Numbers: [168]
168,32 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,32 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: 32:[4, 48, 6], Operations: ['60/10=6']
Exploring Operation: 48/4=12, Resulting Numbers: [6, 12]
Generated Node #0,2,0: 32:[6, 12] Operation: 48/4=12
Exploring Operation: 6-4=2, Resulting Numbers: [48, 2]
Generated Node #0,2,1: 32:[48, 2] Operation: 6-4=2
Exploring Operation: 48-4=44, Resulting Numbers: [6, 44]
Generated Node #0,2,2: 32:[6, 44] Operation: 48-4=44
Exploring Operation: 48-6=42, Resulting Numbers: [4, 42]
Generated Node #0,2,3: 32:[4, 42] Operation: 48-6=42
Exploring Operation: 48/6=8, Resulting Numbers: [4, 8]
Generated Node #0,2,4: 32:[4, 8] Operation: 48/6=8
Moving to Node #0,2,4
Current State: 32:[4, 8], Operations: ['60/10=6', '48/6=8']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,32 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:[4, 60, 48, 10], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [4, 48, 6]
Generated Node #0,2: 32:[4, 48, 6] Operation: 60/10=6
Moving to Node #0,2
Current State: 32:[4, 48, 6], Operations: ['60/10=6']
Exploring Operation: 48/6=8, Resulting Numbers: [4, 8]
Generated Node #0,2,4: 32:[4, 8] Operation: 48/6=8
Moving to Node #0,2,4
Current State: 32:[4, 8], Operations: ['60/10=6', '48/6=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | mult_heuristic |
[
73,
67,
13,
81
] | 73 | [
"67+13=80",
"81-80=1",
"73*1=73"
] | Current State: 73:[73, 67, 13, 81], Operations: []
Exploring Operation: 67+13=80, Resulting Numbers: [73, 81, 80]
Generated Node #2: [73, 81, 80] from Operation: 67+13=80
Current State: 73:[73, 81, 80], Operations: ['67+13=80']
Exploring Operation: 81-80=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 81-80=1
Current State: 73:[73, 1], Operations: ['67+13=80', '81-80=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[73, 67, 13, 81], Operations: []
Exploring Operation: 81-13=68, Resulting Numbers: [73, 67, 68]
Generated Node #0,0: 73:[73, 67, 68] Operation: 81-13=68
Moving to Node #0,0
Current State: 73:[73, 67, 68], Operations: ['81-13=68']
Exploring Operation: 67+68=135, Resulting Numbers: [73, 135]
Generated Node #0,0,0: 73:[73, 135] Operation: 67+68=135
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[73, 135], Operations: ['81-13=68', '67+68=135']
Exploring Operation: 135-73=62, Resulting Numbers: [62]
62,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
55,
53,
42,
49
] | 56 | [
"55-53=2",
"49*2=98",
"98-42=56"
] | Current State: 56:[55, 53, 42, 49], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [42, 49, 2]
Generated Node #2: [42, 49, 2] from Operation: 55-53=2
Current State: 56:[42, 49, 2], Operations: ['55-53=2']
Exploring Operation: 49*2=98, Resulting Numbers: [42, 98]
Generated Node #3: [42, 98] from Operation: 49*2=98
Current State: 56:[42, 98], Operations: ['55-53=2', '49*2=98']
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[55, 53, 42, 49], Operations: []
Exploring Operation: 49-42=7, Resulting Numbers: [55, 53, 7]
Generated Node #0,0: 56:[55, 53, 7] Operation: 49-42=7
Exploring Operation: 55-42=13, Resulting Numbers: [53, 49, 13]
Generated Node #0,1: 56:[53, 49, 13] Operation: 55-42=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[55, 53, 7], Operations: ['49-42=7']
Exploring Operation: 53+7=60, Resulting Numbers: [55, 60]
Generated Node #0,0,0: 56:[55, 60] Operation: 53+7=60
Exploring Operation: 55-53=2, Resulting Numbers: [7, 2]
Generated Node #0,0,1: 56:[7, 2] Operation: 55-53=2
Moving to Node #0,0,1
Current State: 56:[7, 2], Operations: ['49-42=7', '55-53=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[55, 60], Operations: ['49-42=7', '53+7=60']
Exploring Operation: 55+60=115, Resulting Numbers: [115]
115,56 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[53, 49, 13], Operations: ['55-42=13']
Exploring Operation: 53-49=4, Resulting Numbers: [13, 4]
Generated Node #0,1,0: 56:[13, 4] Operation: 53-49=4
Exploring Operation: 49+13=62, Resulting Numbers: [53, 62]
Generated Node #0,1,1: 56:[53, 62] Operation: 49+13=62
Moving to Node #0,1,0
Current State: 56:[13, 4], Operations: ['55-42=13', '53-49=4']
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[53, 62], Operations: ['55-42=13', '49+13=62']
Exploring Operation: 53+62=115, Resulting Numbers: [115]
115,56 unequal: No Solution
Exploring Operation: 62-53=9, Resulting Numbers: [9]
9,56 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 |
[
57,
53,
3,
41
] | 53 | [
"57-53=4",
"3*4=12",
"41+12=53"
] | Current State: 53:[57, 53, 3, 41], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [3, 41, 4]
Generated Node #2: [3, 41, 4] from Operation: 57-53=4
Current State: 53:[3, 41, 4], Operations: ['57-53=4']
Exploring Operation: 3*4=12, Resulting Numbers: [41, 12]
Generated Node #3: [41, 12] from Operation: 3*4=12
Current State: 53:[41, 12], Operations: ['57-53=4', '3*4=12']
Exploring Operation: 41+12=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[57, 53, 3, 41], Operations: []
Exploring Operation: 3+41=44, Resulting Numbers: [57, 53, 44]
Generated Node #0,0: 53:[57, 53, 44] Operation: 3+41=44
Exploring Operation: 57-3=54, Resulting Numbers: [53, 41, 54]
Generated Node #0,1: 53:[53, 41, 54] Operation: 57-3=54
Moving to Node #0,0
Current State: 53:[57, 53, 44], Operations: ['3+41=44']
Exploring Operation: 57+44=101, Resulting Numbers: [53, 101]
Generated Node #0,0,0: 53:[53, 101] Operation: 57+44=101
Exploring Operation: 57-44=13, Resulting Numbers: [53, 13]
Generated Node #0,0,1: 53:[53, 13] Operation: 57-44=13
Moving to Node #0,1
Current State: 53:[53, 41, 54], Operations: ['57-3=54']
Exploring Operation: 53+41=94, Resulting Numbers: [54, 94]
Generated Node #0,1,0: 53:[54, 94] Operation: 53+41=94
Exploring Operation: 54-41=13, Resulting Numbers: [53, 13]
Generated Node #0,1,1: 53:[53, 13] Operation: 54-41=13
Moving to Node #0,0,1
Current State: 53:[53, 13], Operations: ['3+41=44', '57-44=13']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,53 unequal: No Solution
Exploring Operation: 53+13=66, Resulting Numbers: [66]
66,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[53, 13], Operations: ['57-3=54', '54-41=13']
Exploring Operation: 53+13=66, Resulting Numbers: [66]
66,53 unequal: No Solution
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[54, 94], Operations: ['57-3=54', '53+41=94']
Exploring Operation: 54+94=148, Resulting Numbers: [148]
148,53 unequal: No Solution
Exploring Operation: 94-54=40, Resulting Numbers: [40]
40,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[53, 101], Operations: ['3+41=44', '57+44=101']
Exploring Operation: 53+101=154, Resulting Numbers: [154]
154,53 unequal: No Solution
Exploring Operation: 101-53=48, Resulting Numbers: [48]
48,53 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
52,
72,
10,
89
] | 99 | [
"72-52=20",
"89-10=79",
"20+79=99"
] | Current State: 99:[52, 72, 10, 89], Operations: []
Exploring Operation: 72-52=20, Resulting Numbers: [10, 89, 20]
Generated Node #2: [10, 89, 20] from Operation: 72-52=20
Current State: 99:[10, 89, 20], Operations: ['72-52=20']
Exploring Operation: 89-10=79, Resulting Numbers: [20, 79]
Generated Node #3: [20, 79] from Operation: 89-10=79
Current State: 99:[20, 79], Operations: ['72-52=20', '89-10=79']
Exploring Operation: 20+79=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[52, 72, 10, 89], Operations: []
Exploring Operation: 72-52=20, Resulting Numbers: [10, 89, 20]
Generated Node #0,0: 99:[10, 89, 20] Operation: 72-52=20
Exploring Operation: 89-72=17, Resulting Numbers: [52, 10, 17]
Generated Node #0,1: 99:[52, 10, 17] Operation: 89-72=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[10, 89, 20], Operations: ['72-52=20']
Exploring Operation: 20-10=10, Resulting Numbers: [89, 10]
Generated Node #0,0,0: 99:[89, 10] Operation: 20-10=10
Exploring Operation: 10+89=99, Resulting Numbers: [20, 99]
Generated Node #0,0,1: 99:[20, 99] Operation: 10+89=99
Moving to Node #0,0,1
Current State: 99:[20, 99], Operations: ['72-52=20', '10+89=99']
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,99 unequal: No Solution
Exploring Operation: 20+99=119, Resulting Numbers: [119]
119,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[89, 10], Operations: ['72-52=20', '20-10=10']
Exploring Operation: 89-10=79, Resulting Numbers: [79]
79,99 unequal: No Solution
Exploring Operation: 89+10=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[52, 72, 10, 89], Operations: []
Exploring Operation: 72-52=20, Resulting Numbers: [10, 89, 20]
Generated Node #0,0: 99:[10, 89, 20] Operation: 72-52=20
Moving to Node #0,0
Current State: 99:[10, 89, 20], Operations: ['72-52=20']
Exploring Operation: 20-10=10, Resulting Numbers: [89, 10]
Generated Node #0,0,0: 99:[89, 10] Operation: 20-10=10
Moving to Node #0,0,0
Current State: 99:[89, 10], Operations: ['72-52=20', '20-10=10']
Exploring Operation: 89+10=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
1,
88,
46,
86
] | 91 | [
"88-86=2",
"46*2=92",
"92-1=91"
] | Current State: 91:[1, 88, 46, 86], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [1, 46, 2]
Generated Node #2: [1, 46, 2] from Operation: 88-86=2
Current State: 91:[1, 46, 2], Operations: ['88-86=2']
Exploring Operation: 46*2=92, Resulting Numbers: [1, 92]
Generated Node #3: [1, 92] from Operation: 46*2=92
Current State: 91:[1, 92], Operations: ['88-86=2', '46*2=92']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[1, 88, 46, 86], Operations: []
Exploring Operation: 86-46=40, Resulting Numbers: [1, 88, 40]
Generated Node #0,0: 91:[1, 88, 40] Operation: 86-46=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[1, 88, 40], Operations: ['86-46=40']
Exploring Operation: 1+88=89, Resulting Numbers: [40, 89]
Generated Node #0,0,0: 91:[40, 89] Operation: 1+88=89
Moving to Node #0,0,0
Current State: 91:[40, 89], Operations: ['86-46=40', '1+88=89']
Exploring Operation: 89-40=49, Resulting Numbers: [49]
49,91 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 |
[
2,
46,
32,
62
] | 61 | [
"62-32=30",
"30/2=15",
"46+15=61"
] | Current State: 61:[2, 46, 32, 62], Operations: []
Exploring Operation: 62-32=30, Resulting Numbers: [2, 46, 30]
Generated Node #2: [2, 46, 30] from Operation: 62-32=30
Current State: 61:[2, 46, 30], Operations: ['62-32=30']
Exploring Operation: 30/2=15, Resulting Numbers: [46, 15]
Generated Node #3: [46, 15] from Operation: 30/2=15
Current State: 61:[46, 15], Operations: ['62-32=30', '30/2=15']
Exploring Operation: 46+15=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[2, 46, 32, 62], Operations: []
Exploring Operation: 2*32=64, Resulting Numbers: [46, 62, 64]
Generated Node #0,0: 61:[46, 62, 64] Operation: 2*32=64
Exploring Operation: 2+46=48, Resulting Numbers: [32, 62, 48]
Generated Node #0,1: 61:[32, 62, 48] Operation: 2+46=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[46, 62, 64], Operations: ['2*32=64']
Exploring Operation: 62-46=16, Resulting Numbers: [64, 16]
Generated Node #0,0,0: 61:[64, 16] Operation: 62-46=16
Exploring Operation: 64-46=18, Resulting Numbers: [62, 18]
Generated Node #0,0,1: 61:[62, 18] Operation: 64-46=18
Moving to Node #0,0,1
Current State: 61:[62, 18], Operations: ['2*32=64', '64-46=18']
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[64, 16], Operations: ['2*32=64', '62-46=16']
Exploring Operation: 64+16=80, Resulting Numbers: [80]
80,61 unequal: No Solution
Exploring Operation: 64-16=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 #0,1
Current State: 61:[32, 62, 48], Operations: ['2+46=48']
Exploring Operation: 32+48=80, Resulting Numbers: [62, 80]
Generated Node #0,1,0: 61:[62, 80] Operation: 32+48=80
Exploring Operation: 62-32=30, Resulting Numbers: [48, 30]
Generated Node #0,1,1: 61:[48, 30] Operation: 62-32=30
Moving to Node #0,1,0
Current State: 61:[62, 80], Operations: ['2+46=48', '32+48=80']
Exploring Operation: 62+80=142, Resulting Numbers: [142]
142,61 unequal: No Solution
Exploring Operation: 80-62=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[48, 30], Operations: ['2+46=48', '62-32=30']
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,61 unequal: No Solution
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
98,
96,
24,
43
] | 55 | [
"98-96=2",
"24/2=12",
"43+12=55"
] | Current State: 55:[98, 96, 24, 43], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [24, 43, 2]
Generated Node #2: [24, 43, 2] from Operation: 98-96=2
Current State: 55:[24, 43, 2], Operations: ['98-96=2']
Exploring Operation: 24/2=12, Resulting Numbers: [43, 12]
Generated Node #3: [43, 12] from Operation: 24/2=12
Current State: 55:[43, 12], Operations: ['98-96=2', '24/2=12']
Exploring Operation: 43+12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[98, 96, 24, 43], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [24, 43, 2]
Generated Node #0,0: 55:[24, 43, 2] Operation: 98-96=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[24, 43, 2], Operations: ['98-96=2']
Exploring Operation: 43-24=19, Resulting Numbers: [2, 19]
Generated Node #0,0,0: 55:[2, 19] Operation: 43-24=19
Moving to Node #0,0,0
Current State: 55:[2, 19], Operations: ['98-96=2', '43-24=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
49,
56,
42,
17
] | 31 | [
"56*42=2352",
"2352/49=48",
"48-17=31"
] | Current State: 31:[49, 56, 42, 17], Operations: []
Exploring Operation: 56*42=2352, Resulting Numbers: [49, 17, 2352]
Generated Node #2: [49, 17, 2352] from Operation: 56*42=2352
Current State: 31:[49, 17, 2352], Operations: ['56*42=2352']
Exploring Operation: 2352/49=48, Resulting Numbers: [17, 48]
Generated Node #3: [17, 48] from Operation: 2352/49=48
Current State: 31:[17, 48], Operations: ['56*42=2352', '2352/49=48']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[49, 56, 42, 17], Operations: []
Exploring Operation: 49-17=32, Resulting Numbers: [56, 42, 32]
Generated Node #0,0: 31:[56, 42, 32] Operation: 49-17=32
Exploring Operation: 56-17=39, Resulting Numbers: [49, 42, 39]
Generated Node #0,1: 31:[49, 42, 39] Operation: 56-17=39
Moving to Node #0,0
Current State: 31:[56, 42, 32], Operations: ['49-17=32']
Exploring Operation: 56-32=24, Resulting Numbers: [42, 24]
Generated Node #0,0,0: 31:[42, 24] Operation: 56-32=24
Exploring Operation: 56-42=14, Resulting Numbers: [32, 14]
Generated Node #0,0,1: 31:[32, 14] Operation: 56-42=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[42, 24], Operations: ['49-17=32', '56-32=24']
Exploring Operation: 42+24=66, Resulting Numbers: [66]
66,31 unequal: No Solution
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 31:[32, 14], Operations: ['49-17=32', '56-42=14']
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,31 unequal: No Solution
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,31 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: 31:[49, 42, 39], Operations: ['56-17=39']
Exploring Operation: 49-39=10, Resulting Numbers: [42, 10]
Generated Node #0,1,0: 31:[42, 10] Operation: 49-39=10
Exploring Operation: 49-42=7, Resulting Numbers: [39, 7]
Generated Node #0,1,1: 31:[39, 7] Operation: 49-42=7
Moving to Node #0,1,0
Current State: 31:[42, 10], Operations: ['56-17=39', '49-39=10']
Exploring Operation: 42+10=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[39, 7], Operations: ['56-17=39', '49-42=7']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,31 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
69,
97,
8,
84
] | 74 | [
"69+97=166",
"8+84=92",
"166-92=74"
] | Current State: 74:[69, 97, 8, 84], Operations: []
Exploring Operation: 69+97=166, Resulting Numbers: [8, 84, 166]
Generated Node #2: [8, 84, 166] from Operation: 69+97=166
Current State: 74:[8, 84, 166], Operations: ['69+97=166']
Exploring Operation: 8+84=92, Resulting Numbers: [166, 92]
Generated Node #3: [166, 92] from Operation: 8+84=92
Current State: 74:[166, 92], Operations: ['69+97=166', '8+84=92']
Exploring Operation: 166-92=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[69, 97, 8, 84], Operations: []
Exploring Operation: 97-8=89, Resulting Numbers: [69, 84, 89]
Generated Node #0,0: 74:[69, 84, 89] Operation: 97-8=89
Exploring Operation: 97-84=13, Resulting Numbers: [69, 8, 13]
Generated Node #0,1: 74:[69, 8, 13] Operation: 97-84=13
Exploring Operation: 97-69=28, Resulting Numbers: [8, 84, 28]
Generated Node #0,2: 74:[8, 84, 28] Operation: 97-69=28
Exploring Operation: 84-8=76, Resulting Numbers: [69, 97, 76]
Generated Node #0,3: 74:[69, 97, 76] Operation: 84-8=76
Exploring Operation: 69+8=77, Resulting Numbers: [97, 84, 77]
Generated Node #0,4: 74:[97, 84, 77] Operation: 69+8=77
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[69, 8, 13], Operations: ['97-84=13']
Exploring Operation: 69+8=77, Resulting Numbers: [13, 77]
Generated Node #0,1,0: 74:[13, 77] Operation: 69+8=77
Exploring Operation: 8+13=21, Resulting Numbers: [69, 21]
Generated Node #0,1,1: 74:[69, 21] Operation: 8+13=21
Exploring Operation: 69-8=61, Resulting Numbers: [13, 61]
Generated Node #0,1,2: 74:[13, 61] Operation: 69-8=61
Exploring Operation: 13-8=5, Resulting Numbers: [69, 5]
Generated Node #0,1,3: 74:[69, 5] Operation: 13-8=5
Exploring Operation: 69+13=82, Resulting Numbers: [8, 82]
Generated Node #0,1,4: 74:[8, 82] Operation: 69+13=82
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 74:[69, 5], Operations: ['97-84=13', '13-8=5']
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,74 unequal: No Solution
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[69, 97, 8, 84], Operations: []
Exploring Operation: 97-84=13, Resulting Numbers: [69, 8, 13]
Generated Node #0,1: 74:[69, 8, 13] Operation: 97-84=13
Moving to Node #0,1
Current State: 74:[69, 8, 13], Operations: ['97-84=13']
Exploring Operation: 13-8=5, Resulting Numbers: [69, 5]
Generated Node #0,1,3: 74:[69, 5] Operation: 13-8=5
Moving to Node #0,1,3
Current State: 74:[69, 5], Operations: ['97-84=13', '13-8=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
18,
92,
78,
16
] | 85 | [
"18-16=2",
"92+78=170",
"170/2=85"
] | Current State: 85:[18, 92, 78, 16], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [92, 78, 2]
Generated Node #2: [92, 78, 2] from Operation: 18-16=2
Current State: 85:[92, 78, 2], Operations: ['18-16=2']
Exploring Operation: 92+78=170, Resulting Numbers: [2, 170]
Generated Node #3: [2, 170] from Operation: 92+78=170
Current State: 85:[2, 170], Operations: ['18-16=2', '92+78=170']
Exploring Operation: 170/2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[18, 92, 78, 16], Operations: []
Exploring Operation: 92-78=14, Resulting Numbers: [18, 16, 14]
Generated Node #0,0: 85:[18, 16, 14] Operation: 92-78=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[18, 16, 14], Operations: ['92-78=14']
Exploring Operation: 18-14=4, Resulting Numbers: [16, 4]
Generated Node #0,0,0: 85:[16, 4] Operation: 18-14=4
Moving to Node #0,0,0
Current State: 85:[16, 4], Operations: ['92-78=14', '18-14=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
8,
27,
20,
71
] | 86 | [
"8+27=35",
"71-20=51",
"35+51=86"
] | Current State: 86:[8, 27, 20, 71], Operations: []
Exploring Operation: 8+27=35, Resulting Numbers: [20, 71, 35]
Generated Node #2: [20, 71, 35] from Operation: 8+27=35
Current State: 86:[20, 71, 35], Operations: ['8+27=35']
Exploring Operation: 71-20=51, Resulting Numbers: [35, 51]
Generated Node #3: [35, 51] from Operation: 71-20=51
Current State: 86:[35, 51], Operations: ['8+27=35', '71-20=51']
Exploring Operation: 35+51=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[8, 27, 20, 71], Operations: []
Exploring Operation: 71-27=44, Resulting Numbers: [8, 20, 44]
Generated Node #0,0: 86:[8, 20, 44] Operation: 71-27=44
Exploring Operation: 27+20=47, Resulting Numbers: [8, 71, 47]
Generated Node #0,1: 86:[8, 71, 47] Operation: 27+20=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[8, 20, 44], Operations: ['71-27=44']
Exploring Operation: 8+20=28, Resulting Numbers: [44, 28]
Generated Node #0,0,0: 86:[44, 28] Operation: 8+20=28
Exploring Operation: 20-8=12, Resulting Numbers: [44, 12]
Generated Node #0,0,1: 86:[44, 12] Operation: 20-8=12
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 86:[44, 12], Operations: ['71-27=44', '20-8=12']
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,86 unequal: No Solution
Exploring Operation: 44+12=56, Resulting Numbers: [56]
56,86 unequal: No Solution
No 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: 86:[44, 28], Operations: ['71-27=44', '8+20=28']
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,86 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: 86:[8, 71, 47], Operations: ['27+20=47']
Exploring Operation: 47-8=39, Resulting Numbers: [71, 39]
Generated Node #0,1,0: 86:[71, 39] Operation: 47-8=39
Exploring Operation: 8+71=79, Resulting Numbers: [47, 79]
Generated Node #0,1,1: 86:[47, 79] Operation: 8+71=79
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[47, 79], Operations: ['27+20=47', '8+71=79']
Exploring Operation: 79-47=32, Resulting Numbers: [32]
32,86 unequal: No Solution
Exploring Operation: 47+79=126, Resulting Numbers: [126]
126,86 unequal: No Solution
No 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: 86:[71, 39], Operations: ['27+20=47', '47-8=39']
Exploring Operation: 71+39=110, Resulting Numbers: [110]
110,86 unequal: No Solution
Exploring Operation: 71-39=32, Resulting Numbers: [32]
32,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
49,
37,
35,
13
] | 31 | [
"49+13=62",
"37-35=2",
"62/2=31"
] | Current State: 31:[49, 37, 35, 13], Operations: []
Exploring Operation: 49+13=62, Resulting Numbers: [37, 35, 62]
Generated Node #2: [37, 35, 62] from Operation: 49+13=62
Current State: 31:[37, 35, 62], Operations: ['49+13=62']
Exploring Operation: 37-35=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 37-35=2
Current State: 31:[62, 2], Operations: ['49+13=62', '37-35=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[49, 37, 35, 13], Operations: []
Exploring Operation: 49-13=36, Resulting Numbers: [37, 35, 36]
Generated Node #0,0: 31:[37, 35, 36] Operation: 49-13=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[37, 35, 36], Operations: ['49-13=36']
Exploring Operation: 37-35=2, Resulting Numbers: [36, 2]
Generated Node #0,0,0: 31:[36, 2] Operation: 37-35=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[36, 2], Operations: ['49-13=36', '37-35=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
34,
54,
54,
72
] | 15 | [
"54-34=20",
"54*20=1080",
"1080/72=15"
] | Current State: 15:[34, 54, 54, 72], Operations: []
Exploring Operation: 54-34=20, Resulting Numbers: [72, 20]
Generated Node #2: [72, 20] from Operation: 54-34=20
Current State: 15:[72, 20], Operations: ['54-34=20']
Exploring Operation: 54*20=1080, Resulting Numbers: [72, 1080]
Generated Node #3: [72, 1080] from Operation: 54*20=1080
Current State: 15:[72, 1080], Operations: ['54-34=20', '54*20=1080']
Exploring Operation: 1080/72=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[34, 54, 54, 72], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [34, 54, 18]
Generated Node #0,0: 15:[34, 54, 18] Operation: 72-54=18
Exploring Operation: 54/54=1, Resulting Numbers: [34, 72, 1]
Generated Node #0,1: 15:[34, 72, 1] Operation: 54/54=1
Exploring Operation: 72-54=18, Resulting Numbers: [34, 54, 18]
Generated Node #0,2: 15:[34, 54, 18] Operation: 72-54=18
Exploring Operation: 54-54=0, Resulting Numbers: [34, 72, 0]
Generated Node #0,3: 15:[34, 72, 0] Operation: 54-54=0
Moving to Node #0,0
Current State: 15:[34, 54, 18], Operations: ['72-54=18']
Exploring Operation: 54-34=20, Resulting Numbers: [18, 20]
Generated Node #0,0,0: 15:[18, 20] Operation: 54-34=20
Exploring Operation: 54/18=3, Resulting Numbers: [34, 3]
Generated Node #0,0,1: 15:[34, 3] Operation: 54/18=3
Exploring Operation: 54-18=36, Resulting Numbers: [34, 36]
Generated Node #0,0,2: 15:[34, 36] Operation: 54-18=36
Exploring Operation: 34-18=16, Resulting Numbers: [54, 16]
Generated Node #0,0,3: 15:[54, 16] Operation: 34-18=16
Moving to Node #0,2
Current State: 15:[34, 54, 18], Operations: ['72-54=18']
Exploring Operation: 54-34=20, Resulting Numbers: [18, 20]
Generated Node #0,2,0: 15:[18, 20] Operation: 54-34=20
Exploring Operation: 34-18=16, Resulting Numbers: [54, 16]
Generated Node #0,2,1: 15:[54, 16] Operation: 34-18=16
Exploring Operation: 54/18=3, Resulting Numbers: [34, 3]
Generated Node #0,2,2: 15:[34, 3] Operation: 54/18=3
Exploring Operation: 54-18=36, Resulting Numbers: [34, 36]
Generated Node #0,2,3: 15:[34, 36] Operation: 54-18=36
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[18, 20], Operations: ['72-54=18', '54-34=20']
Exploring Operation: 18*20=360, Resulting Numbers: [360]
360,15 unequal: No Solution
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 15:[34, 3], Operations: ['72-54=18', '54/18=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,15 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[54, 16], Operations: ['72-54=18', '34-18=16']
Exploring Operation: 54*16=864, Resulting Numbers: [864]
864,15 unequal: No Solution
Exploring Operation: 54+16=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 15:[34, 36], Operations: ['72-54=18', '54-18=36']
Exploring Operation: 34*36=1224, Resulting Numbers: [1224]
1224,15 unequal: No Solution
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,15 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: 15:[34, 72, 1], Operations: ['54/54=1']
Exploring Operation: 72-1=71, Resulting Numbers: [34, 71]
Generated Node #0,1,0: 15:[34, 71] Operation: 72-1=71
Exploring Operation: 72-34=38, Resulting Numbers: [1, 38]
Generated Node #0,1,1: 15:[1, 38] Operation: 72-34=38
Exploring Operation: 34-1=33, Resulting Numbers: [72, 33]
Generated Node #0,1,2: 15:[72, 33] Operation: 34-1=33
Exploring Operation: 34*1=34, Resulting Numbers: [72, 34]
Generated Node #0,1,3: 15:[72, 34] Operation: 34*1=34
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[1, 38], Operations: ['54/54=1', '72-34=38']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 1*38=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 1+38=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[34, 71], Operations: ['54/54=1', '72-1=71']
Exploring Operation: 34+71=105, Resulting Numbers: [105]
105,15 unequal: No Solution
Exploring Operation: 71-34=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 34*71=2414, Resulting Numbers: [2414]
2414,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[72, 33], Operations: ['54/54=1', '34-1=33']
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 72*33=2376, Resulting Numbers: [2376]
2376,15 unequal: No Solution
Exploring Operation: 72+33=105, Resulting Numbers: [105]
105,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 15:[72, 34], Operations: ['54/54=1', '34*1=34']
Exploring Operation: 72*34=2448, Resulting Numbers: [2448]
2448,15 unequal: No Solution
Exploring Operation: 72-34=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 72+34=106, Resulting Numbers: [106]
106,15 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: 15:[34, 72, 0], Operations: ['54-54=0']
Exploring Operation: 72*0=0, Resulting Numbers: [34, 0]
Generated Node #0,3,0: 15:[34, 0] Operation: 72*0=0
Exploring Operation: 34+0=34, Resulting Numbers: [72, 34]
Generated Node #0,3,1: 15:[72, 34] Operation: 34+0=34
Exploring Operation: 72-34=38, Resulting Numbers: [0, 38]
Generated Node #0,3,2: 15:[0, 38] Operation: 72-34=38
Exploring Operation: 34*0=0, Resulting Numbers: [72, 0]
Generated Node #0,3,3: 15:[72, 0] Operation: 34*0=0
Moving to Node #0,0,0
Current State: 15:[18, 20], Operations: ['72-54=18', '54-34=20']
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 18*20=360, Resulting Numbers: [360]
360,15 unequal: No Solution
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[34, 3], Operations: ['72-54=18', '54/18=3']
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,15 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Moving to Node #0,3,0
Current State: 15:[34, 0], Operations: ['54-54=0', '72*0=0']
Exploring Operation: 34*0=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 34-0=34, Resulting Numbers: [34]
34,15 unequal: No Solution
Exploring Operation: 34+0=34, Resulting Numbers: [34]
34,15 unequal: No Solution
Moving to Node #0,3,2
Current State: 15:[0, 38], Operations: ['54-54=0', '72-34=38']
Exploring Operation: 0+38=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 0*38=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 38-0=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[34, 36], Operations: ['72-54=18', '54-18=36']
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 34*36=1224, Resulting Numbers: [1224]
1224,15 unequal: No Solution
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[54, 16], Operations: ['72-54=18', '34-18=16']
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 54+16=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 54*16=864, Resulting Numbers: [864]
864,15 unequal: No Solution
Moving to Node #0,3,3
Current State: 15:[72, 0], Operations: ['54-54=0', '34*0=0']
Exploring Operation: 72-0=72, Resulting Numbers: [72]
72,15 unequal: No Solution
Exploring Operation: 72*0=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 72+0=72, Resulting Numbers: [72]
72,15 unequal: No Solution
Moving to Node #0,3,1
Current State: 15:[72, 34], Operations: ['54-54=0', '34+0=34']
Exploring Operation: 72-34=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 72*34=2448, Resulting Numbers: [2448]
2448,15 unequal: No Solution
Exploring Operation: 72+34=106, Resulting Numbers: [106]
106,15 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
37,
3,
24,
42
] | 93 | [
"37*3=111",
"42-24=18",
"111-18=93"
] | Current State: 93:[37, 3, 24, 42], Operations: []
Exploring Operation: 37*3=111, Resulting Numbers: [24, 42, 111]
Generated Node #2: [24, 42, 111] from Operation: 37*3=111
Current State: 93:[24, 42, 111], Operations: ['37*3=111']
Exploring Operation: 42-24=18, Resulting Numbers: [111, 18]
Generated Node #3: [111, 18] from Operation: 42-24=18
Current State: 93:[111, 18], Operations: ['37*3=111', '42-24=18']
Exploring Operation: 111-18=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[37, 3, 24, 42], Operations: []
Exploring Operation: 42-24=18, Resulting Numbers: [37, 3, 18]
Generated Node #0,0: 93:[37, 3, 18] Operation: 42-24=18
Exploring Operation: 37-3=34, Resulting Numbers: [24, 42, 34]
Generated Node #0,1: 93:[24, 42, 34] Operation: 37-3=34
Exploring Operation: 42-37=5, Resulting Numbers: [3, 24, 5]
Generated Node #0,2: 93:[3, 24, 5] Operation: 42-37=5
Exploring Operation: 37-24=13, Resulting Numbers: [3, 42, 13]
Generated Node #0,3: 93:[3, 42, 13] Operation: 37-24=13
Moving to Node #0,2
Current State: 93:[3, 24, 5], Operations: ['42-37=5']
Exploring Operation: 24+5=29, Resulting Numbers: [3, 29]
Generated Node #0,2,0: 93:[3, 29] Operation: 24+5=29
Exploring Operation: 5-3=2, Resulting Numbers: [24, 2]
Generated Node #0,2,1: 93:[24, 2] Operation: 5-3=2
Exploring Operation: 24/3=8, Resulting Numbers: [5, 8]
Generated Node #0,2,2: 93:[5, 8] Operation: 24/3=8
Exploring Operation: 3+24=27, Resulting Numbers: [5, 27]
Generated Node #0,2,3: 93:[5, 27] Operation: 3+24=27
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 93:[3, 29], Operations: ['42-37=5', '24+5=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,93 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 #0,2,3
Current State: 93:[5, 27], Operations: ['42-37=5', '3+24=27']
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,93 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,93 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 #0,2,2
Current State: 93:[5, 8], Operations: ['42-37=5', '24/3=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,93 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 #0,2,1
Current State: 93:[24, 2], Operations: ['42-37=5', '5-3=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,93 unequal: No Solution
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,93 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: 93:[37, 3, 18], Operations: ['42-24=18']
Exploring Operation: 37-3=34, Resulting Numbers: [18, 34]
Generated Node #0,0,0: 93:[18, 34] Operation: 37-3=34
Exploring Operation: 37-18=19, Resulting Numbers: [3, 19]
Generated Node #0,0,1: 93:[3, 19] Operation: 37-18=19
Exploring Operation: 3+18=21, Resulting Numbers: [37, 21]
Generated Node #0,0,2: 93:[37, 21] Operation: 3+18=21
Exploring Operation: 18/3=6, Resulting Numbers: [37, 6]
Generated Node #0,0,3: 93:[37, 6] Operation: 18/3=6
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 93:[37, 6], Operations: ['42-24=18', '18/3=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,93 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,93 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 #0,0,1
Current State: 93:[3, 19], Operations: ['42-24=18', '37-18=19']
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,93 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 #0,0,0
Current State: 93:[18, 34], Operations: ['42-24=18', '37-3=34']
Exploring Operation: 18*34=612, Resulting Numbers: [612]
612,93 unequal: No Solution
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 18+34=52, Resulting Numbers: [52]
52,93 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 #0,0,2
Current State: 93:[37, 21], Operations: ['42-24=18', '3+18=21']
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,93 unequal: No Solution
Exploring Operation: 37*21=777, Resulting Numbers: [777]
777,93 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,93 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: 93:[3, 42, 13], Operations: ['37-24=13']
Exploring Operation: 13-3=10, Resulting Numbers: [42, 10]
Generated Node #0,3,0: 93:[42, 10] Operation: 13-3=10
Exploring Operation: 3*13=39, Resulting Numbers: [42, 39]
Generated Node #0,3,1: 93:[42, 39] Operation: 3*13=39
Exploring Operation: 42-3=39, Resulting Numbers: [13, 39]
Generated Node #0,3,2: 93:[13, 39] Operation: 42-3=39
Exploring Operation: 42-13=29, Resulting Numbers: [3, 29]
Generated Node #0,3,3: 93:[3, 29] Operation: 42-13=29
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 93:[3, 29], Operations: ['37-24=13', '42-13=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,93 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,93 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 #0,3,0
Current State: 93:[42, 10], Operations: ['37-24=13', '13-3=10']
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 42*10=420, Resulting Numbers: [420]
420,93 unequal: No Solution
Exploring Operation: 42+10=52, Resulting Numbers: [52]
52,93 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 #0,3,2
Current State: 93:[13, 39], Operations: ['37-24=13', '42-3=39']
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,93 unequal: No Solution
Exploring Operation: 13*39=507, Resulting Numbers: [507]
507,93 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,93 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 #0,3,1
Current State: 93:[42, 39], Operations: ['37-24=13', '3*13=39']
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 42+39=81, Resulting Numbers: [81]
81,93 unequal: No Solution
Exploring Operation: 42*39=1638, Resulting Numbers: [1638]
1638,93 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: 93:[24, 42, 34], Operations: ['37-3=34']
Exploring Operation: 42-34=8, Resulting Numbers: [24, 8]
Generated Node #0,1,0: 93:[24, 8] Operation: 42-34=8
Exploring Operation: 42-24=18, Resulting Numbers: [34, 18]
Generated Node #0,1,1: 93:[34, 18] Operation: 42-24=18
Exploring Operation: 34-24=10, Resulting Numbers: [42, 10]
Generated Node #0,1,2: 93:[42, 10] Operation: 34-24=10
Exploring Operation: 42+34=76, Resulting Numbers: [24, 76]
Generated Node #0,1,3: 93:[24, 76] Operation: 42+34=76
Moving to Node #0,1,0
Current State: 93:[24, 8], Operations: ['37-3=34', '42-34=8']
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 24+8=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 24*8=192, Resulting Numbers: [192]
192,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[34, 18], Operations: ['37-3=34', '42-24=18']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 34*18=612, Resulting Numbers: [612]
612,93 unequal: No Solution
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[42, 10], Operations: ['37-3=34', '34-24=10']
Exploring Operation: 42*10=420, Resulting Numbers: [420]
420,93 unequal: No Solution
Exploring Operation: 42+10=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Moving to Node #0,1,3
Current State: 93:[24, 76], Operations: ['37-3=34', '42+34=76']
Exploring Operation: 24*76=1824, Resulting Numbers: [1824]
1824,93 unequal: No Solution
Exploring Operation: 24+76=100, Resulting Numbers: [100]
100,93 unequal: No Solution
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,93 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
32,
54,
53,
95
] | 44 | [
"32+54=86",
"95-53=42",
"86-42=44"
] | Current State: 44:[32, 54, 53, 95], Operations: []
Exploring Operation: 32+54=86, Resulting Numbers: [53, 95, 86]
Generated Node #2: [53, 95, 86] from Operation: 32+54=86
Current State: 44:[53, 95, 86], Operations: ['32+54=86']
Exploring Operation: 95-53=42, Resulting Numbers: [86, 42]
Generated Node #3: [86, 42] from Operation: 95-53=42
Current State: 44:[86, 42], Operations: ['32+54=86', '95-53=42']
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[32, 54, 53, 95], Operations: []
Exploring Operation: 95-54=41, Resulting Numbers: [32, 53, 41]
Generated Node #0,0: 44:[32, 53, 41] Operation: 95-54=41
Exploring Operation: 95-32=63, Resulting Numbers: [54, 53, 63]
Generated Node #0,1: 44:[54, 53, 63] Operation: 95-32=63
Exploring Operation: 95-53=42, Resulting Numbers: [32, 54, 42]
Generated Node #0,2: 44:[32, 54, 42] Operation: 95-53=42
Exploring Operation: 54-32=22, Resulting Numbers: [53, 95, 22]
Generated Node #0,3: 44:[53, 95, 22] Operation: 54-32=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[32, 53, 41], Operations: ['95-54=41']
Exploring Operation: 53-41=12, Resulting Numbers: [32, 12]
Generated Node #0,0,0: 44:[32, 12] Operation: 53-41=12
Exploring Operation: 41-32=9, Resulting Numbers: [53, 9]
Generated Node #0,0,1: 44:[53, 9] Operation: 41-32=9
Exploring Operation: 53-32=21, Resulting Numbers: [41, 21]
Generated Node #0,0,2: 44:[41, 21] Operation: 53-32=21
Exploring Operation: 32+41=73, Resulting Numbers: [53, 73]
Generated Node #0,0,3: 44:[53, 73] Operation: 32+41=73
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 44:[41, 21], Operations: ['95-54=41', '53-32=21']
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,44 unequal: No Solution
Exploring Operation: 41*21=861, Resulting Numbers: [861]
861,44 unequal: No Solution
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,44 unequal: No Solution
No 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: 44:[32, 12], Operations: ['95-54=41', '53-41=12']
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[32, 54, 53, 95], Operations: []
Exploring Operation: 95-54=41, Resulting Numbers: [32, 53, 41]
Generated Node #0,0: 44:[32, 53, 41] Operation: 95-54=41
Moving to Node #0,0
Current State: 44:[32, 53, 41], Operations: ['95-54=41']
Exploring Operation: 53-41=12, Resulting Numbers: [32, 12]
Generated Node #0,0,0: 44:[32, 12] Operation: 53-41=12
Moving to Node #0,0,0
Current State: 44:[32, 12], Operations: ['95-54=41', '53-41=12']
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
40,
78,
26,
82
] | 38 | [
"40*78=3120",
"3120/26=120",
"120-82=38"
] | Current State: 38:[40, 78, 26, 82], Operations: []
Exploring Operation: 40*78=3120, Resulting Numbers: [26, 82, 3120]
Generated Node #2: [26, 82, 3120] from Operation: 40*78=3120
Current State: 38:[26, 82, 3120], Operations: ['40*78=3120']
Exploring Operation: 3120/26=120, Resulting Numbers: [82, 120]
Generated Node #3: [82, 120] from Operation: 3120/26=120
Current State: 38:[82, 120], Operations: ['40*78=3120', '3120/26=120']
Exploring Operation: 120-82=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[40, 78, 26, 82], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [40, 26, 4]
Generated Node #0,0: 38:[40, 26, 4] Operation: 82-78=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[40, 26, 4], Operations: ['82-78=4']
Exploring Operation: 26-4=22, Resulting Numbers: [40, 22]
Generated Node #0,0,0: 38:[40, 22] Operation: 26-4=22
Moving to Node #0,0,0
Current State: 38:[40, 22], Operations: ['82-78=4', '26-4=22']
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,38 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 |
[
13,
61,
28,
94
] | 65 | [
"61+28=89",
"94-89=5",
"13*5=65"
] | Current State: 65:[13, 61, 28, 94], Operations: []
Exploring Operation: 61+28=89, Resulting Numbers: [13, 94, 89]
Generated Node #2: [13, 94, 89] from Operation: 61+28=89
Current State: 65:[13, 94, 89], Operations: ['61+28=89']
Exploring Operation: 94-89=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 94-89=5
Current State: 65:[13, 5], Operations: ['61+28=89', '94-89=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[13, 61, 28, 94], Operations: []
Exploring Operation: 28-13=15, Resulting Numbers: [61, 94, 15]
Generated Node #0,0: 65:[61, 94, 15] Operation: 28-13=15
Exploring Operation: 94-28=66, Resulting Numbers: [13, 61, 66]
Generated Node #0,1: 65:[13, 61, 66] Operation: 94-28=66
Exploring Operation: 94-13=81, Resulting Numbers: [61, 28, 81]
Generated Node #0,2: 65:[61, 28, 81] Operation: 94-13=81
Moving to Node #0,1
Current State: 65:[13, 61, 66], Operations: ['94-28=66']
Exploring Operation: 66-13=53, Resulting Numbers: [61, 53]
Generated Node #0,1,0: 65:[61, 53] Operation: 66-13=53
Exploring Operation: 66-61=5, Resulting Numbers: [13, 5]
Generated Node #0,1,1: 65:[13, 5] Operation: 66-61=5
Exploring Operation: 13+61=74, Resulting Numbers: [66, 74]
Generated Node #0,1,2: 65:[66, 74] Operation: 13+61=74
Moving to Node #0,0
Current State: 65:[61, 94, 15], Operations: ['28-13=15']
Exploring Operation: 61+15=76, Resulting Numbers: [94, 76]
Generated Node #0,0,0: 65:[94, 76] Operation: 61+15=76
Exploring Operation: 94-61=33, Resulting Numbers: [15, 33]
Generated Node #0,0,1: 65:[15, 33] Operation: 94-61=33
Exploring Operation: 94-15=79, Resulting Numbers: [61, 79]
Generated Node #0,0,2: 65:[61, 79] Operation: 94-15=79
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 65:[61, 79], Operations: ['28-13=15', '94-15=79']
Exploring Operation: 61+79=140, Resulting Numbers: [140]
140,65 unequal: No Solution
Exploring Operation: 79-61=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 61*79=4819, Resulting Numbers: [4819]
4819,65 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 #0,0,1
Current State: 65:[15, 33], Operations: ['28-13=15', '94-61=33']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 15+33=48, Resulting Numbers: [48]
48,65 unequal: No Solution
Exploring Operation: 15*33=495, Resulting Numbers: [495]
495,65 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 #0,0,0
Current State: 65:[94, 76], Operations: ['28-13=15', '61+15=76']
Exploring Operation: 94-76=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 94+76=170, Resulting Numbers: [170]
170,65 unequal: No Solution
Exploring Operation: 94*76=7144, Resulting Numbers: [7144]
7144,65 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:[61, 28, 81], Operations: ['94-13=81']
Exploring Operation: 61-28=33, Resulting Numbers: [81, 33]
Generated Node #0,2,0: 65:[81, 33] Operation: 61-28=33
Exploring Operation: 81-61=20, Resulting Numbers: [28, 20]
Generated Node #0,2,1: 65:[28, 20] Operation: 81-61=20
Exploring Operation: 81-28=53, Resulting Numbers: [61, 53]
Generated Node #0,2,2: 65:[61, 53] Operation: 81-28=53
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 65:[61, 53], Operations: ['94-13=81', '81-28=53']
Exploring Operation: 61+53=114, Resulting Numbers: [114]
114,65 unequal: No Solution
Exploring Operation: 61*53=3233, Resulting Numbers: [3233]
3233,65 unequal: No Solution
Exploring Operation: 61-53=8, Resulting Numbers: [8]
8,65 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 #0,2,1
Current State: 65:[28, 20], Operations: ['94-13=81', '81-61=20']
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,65 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,65 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 #0,2,0
Current State: 65:[81, 33], Operations: ['94-13=81', '61-28=33']
Exploring Operation: 81*33=2673, Resulting Numbers: [2673]
2673,65 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,65 unequal: No Solution
Exploring Operation: 81+33=114, Resulting Numbers: [114]
114,65 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: 65:[13, 5], Operations: ['94-28=66', '66-61=5']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[13, 61, 28, 94], Operations: []
Exploring Operation: 94-28=66, Resulting Numbers: [13, 61, 66]
Generated Node #0,1: 65:[13, 61, 66] Operation: 94-28=66
Moving to Node #0,1
Current State: 65:[13, 61, 66], Operations: ['94-28=66']
Exploring Operation: 66-61=5, Resulting Numbers: [13, 5]
Generated Node #0,1,1: 65:[13, 5] Operation: 66-61=5
Moving to Node #0,1,1
Current State: 65:[13, 5], Operations: ['94-28=66', '66-61=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.967882 | hs_3 | sum_heuristic |
[
8,
94,
13,
90
] | 10 | [
"94+90=184",
"184/8=23",
"23-13=10"
] | Current State: 10:[8, 94, 13, 90], Operations: []
Exploring Operation: 94+90=184, Resulting Numbers: [8, 13, 184]
Generated Node #2: [8, 13, 184] from Operation: 94+90=184
Current State: 10:[8, 13, 184], Operations: ['94+90=184']
Exploring Operation: 184/8=23, Resulting Numbers: [13, 23]
Generated Node #3: [13, 23] from Operation: 184/8=23
Current State: 10:[13, 23], Operations: ['94+90=184', '184/8=23']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[8, 94, 13, 90], Operations: []
Exploring Operation: 90-13=77, Resulting Numbers: [8, 94, 77]
Generated Node #0,0: 10:[8, 94, 77] Operation: 90-13=77
Exploring Operation: 94-8=86, Resulting Numbers: [13, 90, 86]
Generated Node #0,1: 10:[13, 90, 86] Operation: 94-8=86
Exploring Operation: 94-13=81, Resulting Numbers: [8, 90, 81]
Generated Node #0,2: 10:[8, 90, 81] Operation: 94-13=81
Exploring Operation: 94-90=4, Resulting Numbers: [8, 13, 4]
Generated Node #0,3: 10:[8, 13, 4] Operation: 94-90=4
Exploring Operation: 90-8=82, Resulting Numbers: [94, 13, 82]
Generated Node #0,4: 10:[94, 13, 82] Operation: 90-8=82
Moving to Node #0,3
Current State: 10:[8, 13, 4], Operations: ['94-90=4']
Exploring Operation: 8+4=12, Resulting Numbers: [13, 12]
Generated Node #0,3,0: 10:[13, 12] Operation: 8+4=12
Exploring Operation: 8-4=4, Resulting Numbers: [13, 4]
Generated Node #0,3,1: 10:[13, 4] Operation: 8-4=4
Exploring Operation: 13-8=5, Resulting Numbers: [4, 5]
Generated Node #0,3,2: 10:[4, 5] Operation: 13-8=5
Exploring Operation: 8/4=2, Resulting Numbers: [13, 2]
Generated Node #0,3,3: 10:[13, 2] Operation: 8/4=2
Exploring Operation: 13-4=9, Resulting Numbers: [8, 9]
Generated Node #0,3,4: 10:[8, 9] Operation: 13-4=9
Moving to Node #0,2
Current State: 10:[8, 90, 81], Operations: ['94-13=81']
Exploring Operation: 8+81=89, Resulting Numbers: [90, 89]
Generated Node #0,2,0: 10:[90, 89] Operation: 8+81=89
Exploring Operation: 90-8=82, Resulting Numbers: [81, 82]
Generated Node #0,2,1: 10:[81, 82] Operation: 90-8=82
Exploring Operation: 81-8=73, Resulting Numbers: [90, 73]
Generated Node #0,2,2: 10:[90, 73] Operation: 81-8=73
Exploring Operation: 90-81=9, Resulting Numbers: [8, 9]
Generated Node #0,2,3: 10:[8, 9] Operation: 90-81=9
Exploring Operation: 8+90=98, Resulting Numbers: [81, 98]
Generated Node #0,2,4: 10:[81, 98] Operation: 8+90=98
Moving to Node #0,0
Current State: 10:[8, 94, 77], Operations: ['90-13=77']
Exploring Operation: 94-8=86, Resulting Numbers: [77, 86]
Generated Node #0,0,0: 10:[77, 86] Operation: 94-8=86
Exploring Operation: 94-77=17, Resulting Numbers: [8, 17]
Generated Node #0,0,1: 10:[8, 17] Operation: 94-77=17
Exploring Operation: 8+77=85, Resulting Numbers: [94, 85]
Generated Node #0,0,2: 10:[94, 85] Operation: 8+77=85
Exploring Operation: 8+94=102, Resulting Numbers: [77, 102]
Generated Node #0,0,3: 10:[77, 102] Operation: 8+94=102
Exploring Operation: 77-8=69, Resulting Numbers: [94, 69]
Generated Node #0,0,4: 10:[94, 69] Operation: 77-8=69
Moving to Node #0,1
Current State: 10:[13, 90, 86], Operations: ['94-8=86']
Exploring Operation: 13+86=99, Resulting Numbers: [90, 99]
Generated Node #0,1,0: 10:[90, 99] Operation: 13+86=99
Exploring Operation: 90-13=77, Resulting Numbers: [86, 77]
Generated Node #0,1,1: 10:[86, 77] Operation: 90-13=77
Exploring Operation: 86-13=73, Resulting Numbers: [90, 73]
Generated Node #0,1,2: 10:[90, 73] Operation: 86-13=73
Exploring Operation: 13+90=103, Resulting Numbers: [86, 103]
Generated Node #0,1,3: 10:[86, 103] Operation: 13+90=103
Exploring Operation: 90-86=4, Resulting Numbers: [13, 4]
Generated Node #0,1,4: 10:[13, 4] Operation: 90-86=4
Moving to Node #0,4
Current State: 10:[94, 13, 82], Operations: ['90-8=82']
Exploring Operation: 94-82=12, Resulting Numbers: [13, 12]
Generated Node #0,4,0: 10:[13, 12] Operation: 94-82=12
Exploring Operation: 94-13=81, Resulting Numbers: [82, 81]
Generated Node #0,4,1: 10:[82, 81] Operation: 94-13=81
Exploring Operation: 94+13=107, Resulting Numbers: [82, 107]
Generated Node #0,4,2: 10:[82, 107] Operation: 94+13=107
Exploring Operation: 94+82=176, Resulting Numbers: [13, 176]
Generated Node #0,4,3: 10:[13, 176] Operation: 94+82=176
Exploring Operation: 82-13=69, Resulting Numbers: [94, 69]
Generated Node #0,4,4: 10:[94, 69] Operation: 82-13=69
Moving to Node #0,3,2
Current State: 10:[4, 5], Operations: ['94-90=4', '13-8=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,10 unequal: No Solution
Moving to Node #0,3,4
Current State: 10:[8, 9], Operations: ['94-90=4', '13-4=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,10 unequal: No Solution
Moving to Node #0,2,3
Current State: 10:[8, 9], Operations: ['94-13=81', '90-81=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,10 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Moving to Node #0,3,3
Current State: 10:[13, 2], Operations: ['94-90=4', '8/4=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,10 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Moving to Node #0,3,1
Current State: 10:[13, 4], Operations: ['94-90=4', '8-4=4']
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,10 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Moving to Node #0,1,4
Current State: 10:[13, 4], Operations: ['94-8=86', '90-86=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,10 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Moving to Node #0,3,0
Current State: 10:[13, 12], Operations: ['94-90=4', '8+4=12']
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,10 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Moving to Node #0,4,0
Current State: 10:[13, 12], Operations: ['90-8=82', '94-82=12']
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,10 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[8, 17], Operations: ['90-13=77', '94-77=17']
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[81, 82], Operations: ['94-13=81', '90-8=82']
Exploring Operation: 81*82=6642, Resulting Numbers: [6642]
6642,10 unequal: No Solution
Exploring Operation: 81+82=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Exploring Operation: 82-81=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Moving to Node #0,0,4
Current State: 10:[94, 69], Operations: ['90-13=77', '77-8=69']
Exploring Operation: 94+69=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Exploring Operation: 94*69=6486, Resulting Numbers: [6486]
6486,10 unequal: No Solution
Exploring Operation: 94-69=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[77, 86], Operations: ['90-13=77', '94-8=86']
Exploring Operation: 77*86=6622, Resulting Numbers: [6622]
6622,10 unequal: No Solution
Exploring Operation: 77+86=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Exploring Operation: 86-77=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Moving to Node #0,4,4
Current State: 10:[94, 69], Operations: ['90-8=82', '82-13=69']
Exploring Operation: 94+69=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Exploring Operation: 94-69=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 94*69=6486, Resulting Numbers: [6486]
6486,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[90, 73], Operations: ['94-13=81', '81-8=73']
Exploring Operation: 90*73=6570, Resulting Numbers: [6570]
6570,10 unequal: No Solution
Exploring Operation: 90+73=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Moving to Node #0,1,2
Current State: 10:[90, 73], Operations: ['94-8=86', '86-13=73']
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 90*73=6570, Resulting Numbers: [6570]
6570,10 unequal: No Solution
Exploring Operation: 90+73=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Moving to Node #0,4,1
Current State: 10:[82, 81], Operations: ['90-8=82', '94-13=81']
Exploring Operation: 82-81=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 82*81=6642, Resulting Numbers: [6642]
6642,10 unequal: No Solution
Exploring Operation: 82+81=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[86, 77], Operations: ['94-8=86', '90-13=77']
Exploring Operation: 86*77=6622, Resulting Numbers: [6622]
6622,10 unequal: No Solution
Exploring Operation: 86-77=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 86+77=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Moving to Node #0,0,3
Current State: 10:[77, 102], Operations: ['90-13=77', '8+94=102']
Exploring Operation: 102-77=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 77*102=7854, Resulting Numbers: [7854]
7854,10 unequal: No Solution
Exploring Operation: 77+102=179, Resulting Numbers: [179]
179,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[94, 85], Operations: ['90-13=77', '8+77=85']
Exploring Operation: 94*85=7990, Resulting Numbers: [7990]
7990,10 unequal: No Solution
Exploring Operation: 94+85=179, Resulting Numbers: [179]
179,10 unequal: No Solution
Exploring Operation: 94-85=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Moving to Node #0,2,4
Current State: 10:[81, 98], Operations: ['94-13=81', '8+90=98']
Exploring Operation: 81+98=179, Resulting Numbers: [179]
179,10 unequal: No Solution
Exploring Operation: 81*98=7938, Resulting Numbers: [7938]
7938,10 unequal: No Solution
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[90, 89], Operations: ['94-13=81', '8+81=89']
Exploring Operation: 90-89=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 90+89=179, Resulting Numbers: [179]
179,10 unequal: No Solution
Exploring Operation: 90*89=8010, Resulting Numbers: [8010]
8010,10 unequal: No Solution
Moving to Node #0,4,3
Current State: 10:[13, 176], Operations: ['90-8=82', '94+82=176']
Exploring Operation: 176-13=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Exploring Operation: 13*176=2288, Resulting Numbers: [2288]
2288,10 unequal: No Solution
Exploring Operation: 13+176=189, Resulting Numbers: [189]
189,10 unequal: No Solution
Moving to Node #0,1,3
Current State: 10:[86, 103], Operations: ['94-8=86', '13+90=103']
Exploring Operation: 103-86=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 86+103=189, Resulting Numbers: [189]
189,10 unequal: No Solution
Exploring Operation: 86*103=8858, Resulting Numbers: [8858]
8858,10 unequal: No Solution
Moving to Node #0,1,0
Current State: 10:[90, 99], Operations: ['94-8=86', '13+86=99']
Exploring Operation: 99-90=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 90*99=8910, Resulting Numbers: [8910]
8910,10 unequal: No Solution
Exploring Operation: 90+99=189, Resulting Numbers: [189]
189,10 unequal: No Solution
Moving to Node #0,4,2
Current State: 10:[82, 107], Operations: ['90-8=82', '94+13=107']
Exploring Operation: 82*107=8774, Resulting Numbers: [8774]
8774,10 unequal: No Solution
Exploring Operation: 107-82=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 82+107=189, Resulting Numbers: [189]
189,10 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
33,
62,
83,
6
] | 91 | [
"62-33=29",
"6*29=174",
"174-83=91"
] | Current State: 91:[33, 62, 83, 6], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [83, 6, 29]
Generated Node #2: [83, 6, 29] from Operation: 62-33=29
Current State: 91:[83, 6, 29], Operations: ['62-33=29']
Exploring Operation: 6*29=174, Resulting Numbers: [83, 174]
Generated Node #3: [83, 174] from Operation: 6*29=174
Current State: 91:[83, 174], Operations: ['62-33=29', '6*29=174']
Exploring Operation: 174-83=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[33, 62, 83, 6], Operations: []
Exploring Operation: 33+62=95, Resulting Numbers: [83, 6, 95]
Generated Node #0,0: 91:[83, 6, 95] Operation: 33+62=95
Moving to Node #0,0
Current State: 91:[83, 6, 95], Operations: ['33+62=95']
Exploring Operation: 95-83=12, Resulting Numbers: [6, 12]
Generated Node #0,0,0: 91:[6, 12] Operation: 95-83=12
Moving to Node #0,0,0
Current State: 91:[6, 12], Operations: ['33+62=95', '95-83=12']
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,91 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
33,
33,
61,
28
] | 89 | [
"33-33=0",
"61+28=89",
"0+89=89"
] | Current State: 89:[33, 33, 61, 28], Operations: []
Exploring Operation: 33-33=0, Resulting Numbers: [61, 28, 0]
Generated Node #2: [61, 28, 0] from Operation: 33-33=0
Current State: 89:[61, 28, 0], Operations: ['33-33=0']
Exploring Operation: 61+28=89, Resulting Numbers: [0, 89]
Generated Node #3: [0, 89] from Operation: 61+28=89
Current State: 89:[0, 89], Operations: ['33-33=0', '61+28=89']
Exploring Operation: 0+89=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[33, 33, 61, 28], Operations: []
Exploring Operation: 33+33=66, Resulting Numbers: [61, 28, 66]
Generated Node #0,0: 89:[61, 28, 66] Operation: 33+33=66
Exploring Operation: 33+28=61, Resulting Numbers: [33, 61, 61]
Generated Node #0,1: 89:[33, 61, 61] Operation: 33+28=61
Exploring Operation: 61+28=89, Resulting Numbers: [33, 33, 89]
Generated Node #0,2: 89:[33, 33, 89] Operation: 61+28=89
Exploring Operation: 33+28=61, Resulting Numbers: [33, 61, 61]
Generated Node #0,3: 89:[33, 61, 61] Operation: 33+28=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[61, 28, 66], Operations: ['33+33=66']
Exploring Operation: 61+28=89, Resulting Numbers: [66, 89]
Generated Node #0,0,0: 89:[66, 89] Operation: 61+28=89
Exploring Operation: 28+66=94, Resulting Numbers: [61, 94]
Generated Node #0,0,1: 89:[61, 94] Operation: 28+66=94
Exploring Operation: 61-28=33, Resulting Numbers: [66, 33]
Generated Node #0,0,2: 89:[66, 33] Operation: 61-28=33
Exploring Operation: 66-28=38, Resulting Numbers: [61, 38]
Generated Node #0,0,3: 89:[61, 38] Operation: 66-28=38
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[66, 89], Operations: ['33+33=66', '61+28=89']
Exploring Operation: 66+89=155, Resulting Numbers: [155]
155,89 unequal: No Solution
Exploring Operation: 66*89=5874, Resulting Numbers: [5874]
5874,89 unequal: No Solution
Exploring Operation: 89-66=23, Resulting Numbers: [23]
23,89 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 #0,0,1
Current State: 89:[61, 94], Operations: ['33+33=66', '28+66=94']
Exploring Operation: 61+94=155, Resulting Numbers: [155]
155,89 unequal: No Solution
Exploring Operation: 94-61=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 61*94=5734, Resulting Numbers: [5734]
5734,89 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 #0,0,2
Current State: 89:[66, 33], Operations: ['33+33=66', '61-28=33']
Exploring Operation: 66*33=2178, Resulting Numbers: [2178]
2178,89 unequal: No Solution
Exploring Operation: 66+33=99, Resulting Numbers: [99]
99,89 unequal: No Solution
Exploring Operation: 66/33=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 66-33=33, Resulting Numbers: [33]
33,89 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 #0,0,3
Current State: 89:[61, 38], Operations: ['33+33=66', '66-28=38']
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,89 unequal: No Solution
Exploring Operation: 61*38=2318, Resulting Numbers: [2318]
2318,89 unequal: No Solution
Exploring Operation: 61+38=99, Resulting Numbers: [99]
99,89 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 #0,1
Current State: 89:[33, 61, 61], Operations: ['33+28=61']
Exploring Operation: 61-33=28, Resulting Numbers: [61, 28]
Generated Node #0,1,0: 89:[61, 28] Operation: 61-33=28
Exploring Operation: 61-33=28, Resulting Numbers: [61, 28]
Generated Node #0,1,1: 89:[61, 28] Operation: 61-33=28
Exploring Operation: 33+61=94, Resulting Numbers: [61, 94]
Generated Node #0,1,2: 89:[61, 94] Operation: 33+61=94
Exploring Operation: 33+61=94, Resulting Numbers: [61, 94]
Generated Node #0,1,3: 89:[61, 94] Operation: 33+61=94
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 89:[61, 94], Operations: ['33+28=61', '33+61=94']
Exploring Operation: 94-61=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 61*94=5734, Resulting Numbers: [5734]
5734,89 unequal: No Solution
Exploring Operation: 61+94=155, Resulting Numbers: [155]
155,89 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 #0,1,3
Current State: 89:[61, 94], Operations: ['33+28=61', '33+61=94']
Exploring Operation: 61+94=155, Resulting Numbers: [155]
155,89 unequal: No Solution
Exploring Operation: 94-61=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 61*94=5734, Resulting Numbers: [5734]
5734,89 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 #0,1,0
Current State: 89:[61, 28], Operations: ['33+28=61', '61-33=28']
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[33, 33, 61, 28], Operations: []
Exploring Operation: 33+28=61, Resulting Numbers: [33, 61, 61]
Generated Node #0,1: 89:[33, 61, 61] Operation: 33+28=61
Moving to Node #0,1
Current State: 89:[33, 61, 61], Operations: ['33+28=61']
Exploring Operation: 61-33=28, Resulting Numbers: [61, 28]
Generated Node #0,1,0: 89:[61, 28] Operation: 61-33=28
Moving to Node #0,1,0
Current State: 89:[61, 28], Operations: ['33+28=61', '61-33=28']
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_4 | sum_heuristic |
[
40,
43,
38,
64
] | 85 | [
"40-38=2",
"64*2=128",
"128-43=85"
] | Current State: 85:[40, 43, 38, 64], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [43, 64, 2]
Generated Node #2: [43, 64, 2] from Operation: 40-38=2
Current State: 85:[43, 64, 2], Operations: ['40-38=2']
Exploring Operation: 64*2=128, Resulting Numbers: [43, 128]
Generated Node #3: [43, 128] from Operation: 64*2=128
Current State: 85:[43, 128], Operations: ['40-38=2', '64*2=128']
Exploring Operation: 128-43=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[40, 43, 38, 64], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [38, 64, 3]
Generated Node #0,0: 85:[38, 64, 3] Operation: 43-40=3
Exploring Operation: 40+43=83, Resulting Numbers: [38, 64, 83]
Generated Node #0,1: 85:[38, 64, 83] Operation: 40+43=83
Moving to Node #0,0
Current State: 85:[38, 64, 3], Operations: ['43-40=3']
Exploring Operation: 64-38=26, Resulting Numbers: [3, 26]
Generated Node #0,0,0: 85:[3, 26] Operation: 64-38=26
Exploring Operation: 38+64=102, Resulting Numbers: [3, 102]
Generated Node #0,0,1: 85:[3, 102] Operation: 38+64=102
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[3, 26], Operations: ['43-40=3', '64-38=26']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,85 unequal: No Solution
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 85:[3, 102], Operations: ['43-40=3', '38+64=102']
Exploring Operation: 102-3=99, Resulting Numbers: [99]
99,85 unequal: No Solution
Exploring Operation: 102/3=34, Resulting Numbers: [34]
34,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 85:[38, 64, 83], Operations: ['40+43=83']
Exploring Operation: 38+64=102, Resulting Numbers: [83, 102]
Generated Node #0,1,0: 85:[83, 102] Operation: 38+64=102
Exploring Operation: 64-38=26, Resulting Numbers: [83, 26]
Generated Node #0,1,1: 85:[83, 26] Operation: 64-38=26
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[83, 26], Operations: ['40+43=83', '64-38=26']
Exploring Operation: 83-26=57, Resulting Numbers: [57]
57,85 unequal: No Solution
Exploring Operation: 83+26=109, Resulting Numbers: [109]
109,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 85:[83, 102], Operations: ['40+43=83', '38+64=102']
Exploring Operation: 102-83=19, Resulting Numbers: [19]
19,85 unequal: No Solution
Exploring Operation: 83+102=185, Resulting Numbers: [185]
185,85 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 |
[
66,
11,
64,
45
] | 25 | [
"66/11=6",
"64-45=19",
"6+19=25"
] | Current State: 25:[66, 11, 64, 45], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [64, 45, 6]
Generated Node #2: [64, 45, 6] from Operation: 66/11=6
Current State: 25:[64, 45, 6], Operations: ['66/11=6']
Exploring Operation: 64-45=19, Resulting Numbers: [6, 19]
Generated Node #3: [6, 19] from Operation: 64-45=19
Current State: 25:[6, 19], Operations: ['66/11=6', '64-45=19']
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[66, 11, 64, 45], Operations: []
Exploring Operation: 66-45=21, Resulting Numbers: [11, 64, 21]
Generated Node #0,0: 25:[11, 64, 21] Operation: 66-45=21
Exploring Operation: 64-45=19, Resulting Numbers: [66, 11, 19]
Generated Node #0,1: 25:[66, 11, 19] Operation: 64-45=19
Exploring Operation: 66-64=2, Resulting Numbers: [11, 45, 2]
Generated Node #0,2: 25:[11, 45, 2] Operation: 66-64=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[11, 45, 2], Operations: ['66-64=2']
Exploring Operation: 45-11=34, Resulting Numbers: [2, 34]
Generated Node #0,2,0: 25:[2, 34] Operation: 45-11=34
Exploring Operation: 11-2=9, Resulting Numbers: [45, 9]
Generated Node #0,2,1: 25:[45, 9] Operation: 11-2=9
Exploring Operation: 11*2=22, Resulting Numbers: [45, 22]
Generated Node #0,2,2: 25:[45, 22] Operation: 11*2=22
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 25:[2, 34], Operations: ['66-64=2', '45-11=34']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,25 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 25:[45, 22], Operations: ['66-64=2', '11*2=22']
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 45+22=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 45*22=990, Resulting Numbers: [990]
990,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 25:[45, 9], Operations: ['66-64=2', '11-2=9']
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,25 unequal: No Solution
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[11, 64, 21], Operations: ['66-45=21']
Exploring Operation: 64-11=53, Resulting Numbers: [21, 53]
Generated Node #0,0,0: 25:[21, 53] Operation: 64-11=53
Exploring Operation: 64-21=43, Resulting Numbers: [11, 43]
Generated Node #0,0,1: 25:[11, 43] Operation: 64-21=43
Exploring Operation: 21-11=10, Resulting Numbers: [64, 10]
Generated Node #0,0,2: 25:[64, 10] Operation: 21-11=10
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 25:[11, 43], Operations: ['66-45=21', '64-21=43']
Exploring Operation: 11*43=473, Resulting Numbers: [473]
473,25 unequal: No Solution
Exploring Operation: 11+43=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[21, 53], Operations: ['66-45=21', '64-11=53']
Exploring Operation: 21+53=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 21*53=1113, Resulting Numbers: [1113]
1113,25 unequal: No Solution
Exploring Operation: 53-21=32, Resulting Numbers: [32]
32,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 25:[64, 10], Operations: ['66-45=21', '21-11=10']
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Exploring Operation: 64*10=640, Resulting Numbers: [640]
640,25 unequal: No Solution
Exploring Operation: 64+10=74, Resulting Numbers: [74]
74,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[66, 11, 19], Operations: ['64-45=19']
Exploring Operation: 66/11=6, Resulting Numbers: [19, 6]
Generated Node #0,1,0: 25:[19, 6] Operation: 66/11=6
Exploring Operation: 66-11=55, Resulting Numbers: [19, 55]
Generated Node #0,1,1: 25:[19, 55] Operation: 66-11=55
Exploring Operation: 66-19=47, Resulting Numbers: [11, 47]
Generated Node #0,1,2: 25:[11, 47] Operation: 66-19=47
Moving to Node #0,1,0
Current State: 25:[19, 6], Operations: ['64-45=19', '66/11=6']
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,25 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[66, 11, 64, 45], Operations: []
Exploring Operation: 64-45=19, Resulting Numbers: [66, 11, 19]
Generated Node #0,1: 25:[66, 11, 19] Operation: 64-45=19
Moving to Node #0,1
Current State: 25:[66, 11, 19], Operations: ['64-45=19']
Exploring Operation: 66/11=6, Resulting Numbers: [19, 6]
Generated Node #0,1,0: 25:[19, 6] Operation: 66/11=6
Moving to Node #0,1,0
Current State: 25:[19, 6], Operations: ['64-45=19', '66/11=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_3 | mult_heuristic |
[
4,
2,
92,
94
] | 91 | [
"92-4=88",
"94+88=182",
"182/2=91"
] | Current State: 91:[4, 2, 92, 94], Operations: []
Exploring Operation: 92-4=88, Resulting Numbers: [2, 94, 88]
Generated Node #2: [2, 94, 88] from Operation: 92-4=88
Current State: 91:[2, 94, 88], Operations: ['92-4=88']
Exploring Operation: 94+88=182, Resulting Numbers: [2, 182]
Generated Node #3: [2, 182] from Operation: 94+88=182
Current State: 91:[2, 182], Operations: ['92-4=88', '94+88=182']
Exploring Operation: 182/2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[4, 2, 92, 94], Operations: []
Exploring Operation: 4+2=6, Resulting Numbers: [92, 94, 6]
Generated Node #0,0: 91:[92, 94, 6] Operation: 4+2=6
Exploring Operation: 4*2=8, Resulting Numbers: [92, 94, 8]
Generated Node #0,1: 91:[92, 94, 8] Operation: 4*2=8
Moving to Node #0,0
Current State: 91:[92, 94, 6], Operations: ['4+2=6']
Exploring Operation: 94-92=2, Resulting Numbers: [6, 2]
Generated Node #0,0,0: 91:[6, 2] Operation: 94-92=2
Exploring Operation: 94-6=88, Resulting Numbers: [92, 88]
Generated Node #0,0,1: 91:[92, 88] Operation: 94-6=88
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[92, 88], Operations: ['4+2=6', '94-6=88']
Exploring Operation: 92-88=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 92+88=180, Resulting Numbers: [180]
180,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[6, 2], Operations: ['4+2=6', '94-92=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 91:[92, 94, 8], Operations: ['4*2=8']
Exploring Operation: 94-92=2, Resulting Numbers: [8, 2]
Generated Node #0,1,0: 91:[8, 2] Operation: 94-92=2
Exploring Operation: 94-8=86, Resulting Numbers: [92, 86]
Generated Node #0,1,1: 91:[92, 86] Operation: 94-8=86
Moving to Node #0,1,0
Current State: 91:[8, 2], Operations: ['4*2=8', '94-92=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[92, 86], Operations: ['4*2=8', '94-8=86']
Exploring Operation: 92-86=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 92+86=178, Resulting Numbers: [178]
178,91 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
24,
36,
51,
30
] | 33 | [
"36-24=12",
"51-30=21",
"12+21=33"
] | Current State: 33:[24, 36, 51, 30], Operations: []
Exploring Operation: 36-24=12, Resulting Numbers: [51, 30, 12]
Generated Node #2: [51, 30, 12] from Operation: 36-24=12
Current State: 33:[51, 30, 12], Operations: ['36-24=12']
Exploring Operation: 51-30=21, Resulting Numbers: [12, 21]
Generated Node #3: [12, 21] from Operation: 51-30=21
Current State: 33:[12, 21], Operations: ['36-24=12', '51-30=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[24, 36, 51, 30], Operations: []
Exploring Operation: 51-24=27, Resulting Numbers: [36, 30, 27]
Generated Node #0,0: 33:[36, 30, 27] Operation: 51-24=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[36, 30, 27], Operations: ['51-24=27']
Exploring Operation: 30-27=3, Resulting Numbers: [36, 3]
Generated Node #0,0,0: 33:[36, 3] Operation: 30-27=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[36, 3], Operations: ['51-24=27', '30-27=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[24, 36, 51, 30], Operations: []
Exploring Operation: 51-24=27, Resulting Numbers: [36, 30, 27]
Generated Node #0,0: 33:[36, 30, 27] Operation: 51-24=27
Moving to Node #0,0
Current State: 33:[36, 30, 27], Operations: ['51-24=27']
Exploring Operation: 30-27=3, Resulting Numbers: [36, 3]
Generated Node #0,0,0: 33:[36, 3] Operation: 30-27=3
Moving to Node #0,0,0
Current State: 33:[36, 3], Operations: ['51-24=27', '30-27=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
16,
80,
2,
34
] | 28 | [
"16+80=96",
"2*34=68",
"96-68=28"
] | Current State: 28:[16, 80, 2, 34], Operations: []
Exploring Operation: 16+80=96, Resulting Numbers: [2, 34, 96]
Generated Node #2: [2, 34, 96] from Operation: 16+80=96
Current State: 28:[2, 34, 96], Operations: ['16+80=96']
Exploring Operation: 2*34=68, Resulting Numbers: [96, 68]
Generated Node #3: [96, 68] from Operation: 2*34=68
Current State: 28:[96, 68], Operations: ['16+80=96', '2*34=68']
Exploring Operation: 96-68=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[16, 80, 2, 34], Operations: []
Exploring Operation: 80/2=40, Resulting Numbers: [16, 34, 40]
Generated Node #0,0: 28:[16, 34, 40] Operation: 80/2=40
Exploring Operation: 80-34=46, Resulting Numbers: [16, 2, 46]
Generated Node #0,1: 28:[16, 2, 46] Operation: 80-34=46
Exploring Operation: 80/16=5, Resulting Numbers: [2, 34, 5]
Generated Node #0,2: 28:[2, 34, 5] Operation: 80/16=5
Moving to Node #0,2
Current State: 28:[2, 34, 5], Operations: ['80/16=5']
Exploring Operation: 34-2=32, Resulting Numbers: [5, 32]
Generated Node #0,2,0: 28:[5, 32] Operation: 34-2=32
Exploring Operation: 34/2=17, Resulting Numbers: [5, 17]
Generated Node #0,2,1: 28:[5, 17] Operation: 34/2=17
Exploring Operation: 34-5=29, Resulting Numbers: [2, 29]
Generated Node #0,2,2: 28:[2, 29] Operation: 34-5=29
Moving to Node #0,0
Current State: 28:[16, 34, 40], Operations: ['80/2=40']
Exploring Operation: 34-16=18, Resulting Numbers: [40, 18]
Generated Node #0,0,0: 28:[40, 18] Operation: 34-16=18
Exploring Operation: 40-34=6, Resulting Numbers: [16, 6]
Generated Node #0,0,1: 28:[16, 6] Operation: 40-34=6
Exploring Operation: 40-16=24, Resulting Numbers: [34, 24]
Generated Node #0,0,2: 28:[34, 24] Operation: 40-16=24
Moving to Node #0,1
Current State: 28:[16, 2, 46], Operations: ['80-34=46']
Exploring Operation: 46/2=23, Resulting Numbers: [16, 23]
Generated Node #0,1,0: 28:[16, 23] Operation: 46/2=23
Exploring Operation: 46-16=30, Resulting Numbers: [2, 30]
Generated Node #0,1,1: 28:[2, 30] Operation: 46-16=30
Exploring Operation: 16-2=14, Resulting Numbers: [46, 14]
Generated Node #0,1,2: 28:[46, 14] Operation: 16-2=14
Moving to Node #0,2,2
Current State: 28:[2, 29], Operations: ['80/16=5', '34-5=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,28 unequal: No Solution
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[2, 30], Operations: ['80-34=46', '46-16=30']
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[16, 80, 2, 34], Operations: []
Exploring Operation: 80-34=46, Resulting Numbers: [16, 2, 46]
Generated Node #0,1: 28:[16, 2, 46] Operation: 80-34=46
Moving to Node #0,1
Current State: 28:[16, 2, 46], Operations: ['80-34=46']
Exploring Operation: 46-16=30, Resulting Numbers: [2, 30]
Generated Node #0,1,1: 28:[2, 30] Operation: 46-16=30
Moving to Node #0,1,1
Current State: 28:[2, 30], Operations: ['80-34=46', '46-16=30']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 0.981771 | hs_3 | sum_heuristic |
[
19,
40,
27,
97
] | 30 | [
"97-40=57",
"57/19=3",
"27+3=30"
] | Current State: 30:[19, 40, 27, 97], Operations: []
Exploring Operation: 97-40=57, Resulting Numbers: [19, 27, 57]
Generated Node #2: [19, 27, 57] from Operation: 97-40=57
Current State: 30:[19, 27, 57], Operations: ['97-40=57']
Exploring Operation: 57/19=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 57/19=3
Current State: 30:[27, 3], Operations: ['97-40=57', '57/19=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[19, 40, 27, 97], Operations: []
Exploring Operation: 97-19=78, Resulting Numbers: [40, 27, 78]
Generated Node #0,0: 30:[40, 27, 78] Operation: 97-19=78
Exploring Operation: 97-40=57, Resulting Numbers: [19, 27, 57]
Generated Node #0,1: 30:[19, 27, 57] Operation: 97-40=57
Exploring Operation: 97-27=70, Resulting Numbers: [19, 40, 70]
Generated Node #0,2: 30:[19, 40, 70] Operation: 97-27=70
Moving to Node #0,1
Current State: 30:[19, 27, 57], Operations: ['97-40=57']
Exploring Operation: 57-27=30, Resulting Numbers: [19, 30]
Generated Node #0,1,0: 30:[19, 30] Operation: 57-27=30
Exploring Operation: 57/19=3, Resulting Numbers: [27, 3]
Generated Node #0,1,1: 30:[27, 3] Operation: 57/19=3
Exploring Operation: 57-19=38, Resulting Numbers: [27, 38]
Generated Node #0,1,2: 30:[27, 38] Operation: 57-19=38
Moving to Node #0,2
Current State: 30:[19, 40, 70], Operations: ['97-27=70']
Exploring Operation: 70-40=30, Resulting Numbers: [19, 30]
Generated Node #0,2,0: 30:[19, 30] Operation: 70-40=30
Exploring Operation: 70-19=51, Resulting Numbers: [40, 51]
Generated Node #0,2,1: 30:[40, 51] Operation: 70-19=51
Exploring Operation: 40-19=21, Resulting Numbers: [70, 21]
Generated Node #0,2,2: 30:[70, 21] Operation: 40-19=21
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 30:[19, 30], Operations: ['97-27=70', '70-40=30']
Exploring Operation: 19*30=570, Resulting Numbers: [570]
570,30 unequal: No Solution
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 30:[40, 51], Operations: ['97-27=70', '70-19=51']
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 40*51=2040, Resulting Numbers: [2040]
2040,30 unequal: No Solution
Exploring Operation: 40+51=91, Resulting Numbers: [91]
91,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 30:[70, 21], Operations: ['97-27=70', '40-19=21']
Exploring Operation: 70*21=1470, Resulting Numbers: [1470]
1470,30 unequal: No Solution
Exploring Operation: 70+21=91, Resulting Numbers: [91]
91,30 unequal: No Solution
Exploring Operation: 70-21=49, Resulting Numbers: [49]
49,30 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: 30:[40, 27, 78], Operations: ['97-19=78']
Exploring Operation: 40-27=13, Resulting Numbers: [78, 13]
Generated Node #0,0,0: 30:[78, 13] Operation: 40-27=13
Exploring Operation: 78-27=51, Resulting Numbers: [40, 51]
Generated Node #0,0,1: 30:[40, 51] Operation: 78-27=51
Exploring Operation: 78-40=38, Resulting Numbers: [27, 38]
Generated Node #0,0,2: 30:[27, 38] Operation: 78-40=38
Moving to Node #0,1,1
Current State: 30:[27, 3], Operations: ['97-40=57', '57/19=3']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[19, 40, 27, 97], Operations: []
Exploring Operation: 97-40=57, Resulting Numbers: [19, 27, 57]
Generated Node #0,1: 30:[19, 27, 57] Operation: 97-40=57
Moving to Node #0,1
Current State: 30:[19, 27, 57], Operations: ['97-40=57']
Exploring Operation: 57/19=3, Resulting Numbers: [27, 3]
Generated Node #0,1,1: 30:[27, 3] Operation: 57/19=3
Moving to Node #0,1,1
Current State: 30:[27, 3], Operations: ['97-40=57', '57/19=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.976563 | hs_3 | sum_heuristic |
[
64,
17,
45,
37
] | 74 | [
"64-17=47",
"47-45=2",
"37*2=74"
] | Current State: 74:[64, 17, 45, 37], Operations: []
Exploring Operation: 64-17=47, Resulting Numbers: [45, 37, 47]
Generated Node #2: [45, 37, 47] from Operation: 64-17=47
Current State: 74:[45, 37, 47], Operations: ['64-17=47']
Exploring Operation: 47-45=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 47-45=2
Current State: 74:[37, 2], Operations: ['64-17=47', '47-45=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[64, 17, 45, 37], Operations: []
Exploring Operation: 64-17=47, Resulting Numbers: [45, 37, 47]
Generated Node #0,0: 74:[45, 37, 47] Operation: 64-17=47
Exploring Operation: 64+17=81, Resulting Numbers: [45, 37, 81]
Generated Node #0,1: 74:[45, 37, 81] Operation: 64+17=81
Exploring Operation: 45-17=28, Resulting Numbers: [64, 37, 28]
Generated Node #0,2: 74:[64, 37, 28] Operation: 45-17=28
Exploring Operation: 17+45=62, Resulting Numbers: [64, 37, 62]
Generated Node #0,3: 74:[64, 37, 62] Operation: 17+45=62
Exploring Operation: 45-37=8, Resulting Numbers: [64, 17, 8]
Generated Node #0,4: 74:[64, 17, 8] Operation: 45-37=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[45, 37, 81], Operations: ['64+17=81']
Exploring Operation: 81-37=44, Resulting Numbers: [45, 44]
Generated Node #0,1,0: 74:[45, 44] Operation: 81-37=44
Exploring Operation: 81-45=36, Resulting Numbers: [37, 36]
Generated Node #0,1,1: 74:[37, 36] Operation: 81-45=36
Exploring Operation: 45+37=82, Resulting Numbers: [81, 82]
Generated Node #0,1,2: 74:[81, 82] Operation: 45+37=82
Exploring Operation: 45-37=8, Resulting Numbers: [81, 8]
Generated Node #0,1,3: 74:[81, 8] Operation: 45-37=8
Exploring Operation: 45+81=126, Resulting Numbers: [37, 126]
Generated Node #0,1,4: 74:[37, 126] Operation: 45+81=126
Moving to Node #0,1,1
Current State: 74:[37, 36], Operations: ['64+17=81', '81-45=36']
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 37+36=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 37*36=1332, Resulting Numbers: [1332]
1332,74 unequal: No Solution
Moving to Node #0,1,3
Current State: 74:[81, 8], Operations: ['64+17=81', '45-37=8']
Exploring Operation: 81+8=89, Resulting Numbers: [89]
89,74 unequal: No Solution
Exploring Operation: 81*8=648, Resulting Numbers: [648]
648,74 unequal: No Solution
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Moving to Node #0,1,0
Current State: 74:[45, 44], Operations: ['64+17=81', '81-37=44']
Exploring Operation: 45+44=89, Resulting Numbers: [89]
89,74 unequal: No Solution
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 45*44=1980, Resulting Numbers: [1980]
1980,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[81, 82], Operations: ['64+17=81', '45+37=82']
Exploring Operation: 81+82=163, Resulting Numbers: [163]
163,74 unequal: No Solution
Exploring Operation: 82-81=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 81*82=6642, Resulting Numbers: [6642]
6642,74 unequal: No Solution
Moving to Node #0,1,4
Current State: 74:[37, 126], Operations: ['64+17=81', '45+81=126']
Exploring Operation: 126-37=89, Resulting Numbers: [89]
89,74 unequal: No Solution
Exploring Operation: 37*126=4662, Resulting Numbers: [4662]
4662,74 unequal: No Solution
Exploring Operation: 37+126=163, Resulting Numbers: [163]
163,74 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:[45, 37, 47], Operations: ['64-17=47']
Exploring Operation: 47-45=2, Resulting Numbers: [37, 2]
Generated Node #0,0,0: 74:[37, 2] Operation: 47-45=2
Exploring Operation: 45-37=8, Resulting Numbers: [47, 8]
Generated Node #0,0,1: 74:[47, 8] Operation: 45-37=8
Exploring Operation: 47-37=10, Resulting Numbers: [45, 10]
Generated Node #0,0,2: 74:[45, 10] Operation: 47-37=10
Exploring Operation: 45+37=82, Resulting Numbers: [47, 82]
Generated Node #0,0,3: 74:[47, 82] Operation: 45+37=82
Exploring Operation: 45+47=92, Resulting Numbers: [37, 92]
Generated Node #0,0,4: 74:[37, 92] Operation: 45+47=92
Moving to Node #0,0,0
Current State: 74:[37, 2], Operations: ['64-17=47', '47-45=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[64, 17, 45, 37], Operations: []
Exploring Operation: 64-17=47, Resulting Numbers: [45, 37, 47]
Generated Node #0,0: 74:[45, 37, 47] Operation: 64-17=47
Moving to Node #0,0
Current State: 74:[45, 37, 47], Operations: ['64-17=47']
Exploring Operation: 47-45=2, Resulting Numbers: [37, 2]
Generated Node #0,0,0: 74:[37, 2] Operation: 47-45=2
Moving to Node #0,0,0
Current State: 74:[37, 2], Operations: ['64-17=47', '47-45=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | sum_heuristic |
[
6,
37,
31,
32
] | 20 | [
"6+37=43",
"31+32=63",
"63-43=20"
] | Current State: 20:[6, 37, 31, 32], Operations: []
Exploring Operation: 6+37=43, Resulting Numbers: [31, 32, 43]
Generated Node #2: [31, 32, 43] from Operation: 6+37=43
Current State: 20:[31, 32, 43], Operations: ['6+37=43']
Exploring Operation: 31+32=63, Resulting Numbers: [43, 63]
Generated Node #3: [43, 63] from Operation: 31+32=63
Current State: 20:[43, 63], Operations: ['6+37=43', '31+32=63']
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[6, 37, 31, 32], Operations: []
Exploring Operation: 37-32=5, Resulting Numbers: [6, 31, 5]
Generated Node #0,0: 20:[6, 31, 5] Operation: 37-32=5
Exploring Operation: 37-31=6, Resulting Numbers: [6, 32, 6]
Generated Node #0,1: 20:[6, 32, 6] Operation: 37-31=6
Moving to Node #0,0
Current State: 20:[6, 31, 5], Operations: ['37-32=5']
Exploring Operation: 31-5=26, Resulting Numbers: [6, 26]
Generated Node #0,0,0: 20:[6, 26] Operation: 31-5=26
Exploring Operation: 31-6=25, Resulting Numbers: [5, 25]
Generated Node #0,0,1: 20:[5, 25] Operation: 31-6=25
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[5, 25], Operations: ['37-32=5', '31-6=25']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[6, 37, 31, 32], Operations: []
Exploring Operation: 37-32=5, Resulting Numbers: [6, 31, 5]
Generated Node #0,0: 20:[6, 31, 5] Operation: 37-32=5
Moving to Node #0,0
Current State: 20:[6, 31, 5], Operations: ['37-32=5']
Exploring Operation: 31-6=25, Resulting Numbers: [5, 25]
Generated Node #0,0,1: 20:[5, 25] Operation: 31-6=25
Moving to Node #0,0,1
Current State: 20:[5, 25], Operations: ['37-32=5', '31-6=25']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
80,
43,
84,
20
] | 92 | [
"84-80=4",
"43-20=23",
"4*23=92"
] | Current State: 92:[80, 43, 84, 20], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [43, 20, 4]
Generated Node #2: [43, 20, 4] from Operation: 84-80=4
Current State: 92:[43, 20, 4], Operations: ['84-80=4']
Exploring Operation: 43-20=23, Resulting Numbers: [4, 23]
Generated Node #3: [4, 23] from Operation: 43-20=23
Current State: 92:[4, 23], Operations: ['84-80=4', '43-20=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[80, 43, 84, 20], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [43, 20, 4]
Generated Node #0,0: 92:[43, 20, 4] Operation: 84-80=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[43, 20, 4], Operations: ['84-80=4']
Exploring Operation: 43-20=23, Resulting Numbers: [4, 23]
Generated Node #0,0,0: 92:[4, 23] Operation: 43-20=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[4, 23], Operations: ['84-80=4', '43-20=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[80, 43, 84, 20], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [43, 20, 4]
Generated Node #0,0: 92:[43, 20, 4] Operation: 84-80=4
Moving to Node #0,0
Current State: 92:[43, 20, 4], Operations: ['84-80=4']
Exploring Operation: 43-20=23, Resulting Numbers: [4, 23]
Generated Node #0,0,0: 92:[4, 23] Operation: 43-20=23
Moving to Node #0,0,0
Current State: 92:[4, 23], Operations: ['84-80=4', '43-20=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
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