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 |
|---|---|---|---|---|---|---|---|---|
[
9,
11,
32,
52
] | 15 | [
"9*11=99",
"32+52=84",
"99-84=15"
] | Current State: 15:[9, 11, 32, 52], Operations: []
Exploring Operation: 9*11=99, Resulting Numbers: [32, 52, 99]
Generated Node #2: [32, 52, 99] from Operation: 9*11=99
Current State: 15:[32, 52, 99], Operations: ['9*11=99']
Exploring Operation: 32+52=84, Resulting Numbers: [99, 84]
Generated Node #3: [99, 84] from Operation: 32+52=84
Current State: 15:[99, 84], Operations: ['9*11=99', '32+52=84']
Exploring Operation: 99-84=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[9, 11, 32, 52], Operations: []
Exploring Operation: 32-11=21, Resulting Numbers: [9, 52, 21]
Generated Node #0,0: 15:[9, 52, 21] Operation: 32-11=21
Exploring Operation: 32-9=23, Resulting Numbers: [11, 52, 23]
Generated Node #0,1: 15:[11, 52, 23] Operation: 32-9=23
Exploring Operation: 52-32=20, Resulting Numbers: [9, 11, 20]
Generated Node #0,2: 15:[9, 11, 20] Operation: 52-32=20
Exploring Operation: 52-11=41, Resulting Numbers: [9, 32, 41]
Generated Node #0,3: 15:[9, 32, 41] Operation: 52-11=41
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[9, 11, 20], Operations: ['52-32=20']
Exploring Operation: 20-9=11, Resulting Numbers: [11, 11]
Generated Node #0,2,0: 15:[11, 11] Operation: 20-9=11
Exploring Operation: 20-11=9, Resulting Numbers: [9, 9]
Generated Node #0,2,1: 15:[9, 9] Operation: 20-11=9
Exploring Operation: 11-9=2, Resulting Numbers: [20, 2]
Generated Node #0,2,2: 15:[20, 2] Operation: 11-9=2
Exploring Operation: 9+11=20, Resulting Numbers: [20, 20]
Generated Node #0,2,3: 15:[20, 20] Operation: 9+11=20
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 15:[20, 2], Operations: ['52-32=20', '11-9=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 15:[11, 11], Operations: ['52-32=20', '20-9=11']
Exploring Operation: 11/11=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 11+11=22, Resulting Numbers: [22]
22,15 unequal: No Solution
Exploring Operation: 11*11=121, Resulting Numbers: [121]
121,15 unequal: No Solution
Exploring Operation: 11-11=0, Resulting Numbers: [0]
0,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 15:[9, 9], Operations: ['52-32=20', '20-11=9']
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 15:[20, 20], Operations: ['52-32=20', '9+11=20']
Exploring Operation: 20*20=400, Resulting Numbers: [400]
400,15 unequal: No Solution
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[9, 52, 21], Operations: ['32-11=21']
Exploring Operation: 9+52=61, Resulting Numbers: [21, 61]
Generated Node #0,0,0: 15:[21, 61] Operation: 9+52=61
Exploring Operation: 21-9=12, Resulting Numbers: [52, 12]
Generated Node #0,0,1: 15:[52, 12] Operation: 21-9=12
Exploring Operation: 52-21=31, Resulting Numbers: [9, 31]
Generated Node #0,0,2: 15:[9, 31] Operation: 52-21=31
Exploring Operation: 52-9=43, Resulting Numbers: [21, 43]
Generated Node #0,0,3: 15:[21, 43] Operation: 52-9=43
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 15:[9, 31], Operations: ['32-11=21', '52-21=31']
Exploring Operation: 9*31=279, Resulting Numbers: [279]
279,15 unequal: No Solution
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 15:[21, 43], Operations: ['32-11=21', '52-9=43']
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,15 unequal: No Solution
Exploring Operation: 21*43=903, Resulting Numbers: [903]
903,15 unequal: No Solution
Exploring Operation: 21+43=64, Resulting Numbers: [64]
64,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[52, 12], Operations: ['32-11=21', '21-9=12']
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,15 unequal: No Solution
Exploring Operation: 52*12=624, Resulting Numbers: [624]
624,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[21, 61], Operations: ['32-11=21', '9+52=61']
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 21+61=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 21*61=1281, Resulting Numbers: [1281]
1281,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[9, 32, 41], Operations: ['52-11=41']
Exploring Operation: 32-9=23, Resulting Numbers: [41, 23]
Generated Node #0,3,0: 15:[41, 23] Operation: 32-9=23
Exploring Operation: 9+32=41, Resulting Numbers: [41, 41]
Generated Node #0,3,1: 15:[41, 41] Operation: 9+32=41
Exploring Operation: 41-9=32, Resulting Numbers: [32, 32]
Generated Node #0,3,2: 15:[32, 32] Operation: 41-9=32
Exploring Operation: 41-32=9, Resulting Numbers: [9, 9]
Generated Node #0,3,3: 15:[9, 9] Operation: 41-32=9
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 15:[9, 9], Operations: ['52-11=41', '41-32=9']
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,15 unequal: No Solution
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 15:[41, 23], Operations: ['52-11=41', '32-9=23']
Exploring Operation: 41*23=943, Resulting Numbers: [943]
943,15 unequal: No Solution
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Exploring Operation: 41+23=64, Resulting Numbers: [64]
64,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 15:[32, 32], Operations: ['52-11=41', '41-9=32']
Exploring Operation: 32+32=64, Resulting Numbers: [64]
64,15 unequal: No Solution
Exploring Operation: 32/32=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 32-32=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 32*32=1024, Resulting Numbers: [1024]
1024,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 15:[41, 41], Operations: ['52-11=41', '9+32=41']
Exploring Operation: 41+41=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 41*41=1681, Resulting Numbers: [1681]
1681,15 unequal: No Solution
Exploring Operation: 41/41=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 41-41=0, Resulting Numbers: [0]
0,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[11, 52, 23], Operations: ['32-9=23']
Exploring Operation: 52-11=41, Resulting Numbers: [23, 41]
Generated Node #0,1,0: 15:[23, 41] Operation: 52-11=41
Exploring Operation: 52-23=29, Resulting Numbers: [11, 29]
Generated Node #0,1,1: 15:[11, 29] Operation: 52-23=29
Exploring Operation: 11+52=63, Resulting Numbers: [23, 63]
Generated Node #0,1,2: 15:[23, 63] Operation: 11+52=63
Exploring Operation: 23-11=12, Resulting Numbers: [52, 12]
Generated Node #0,1,3: 15:[52, 12] Operation: 23-11=12
Moving to Node #0,1,1
Current State: 15:[11, 29], Operations: ['32-9=23', '52-23=29']
Exploring Operation: 11*29=319, Resulting Numbers: [319]
319,15 unequal: No Solution
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[23, 41], Operations: ['32-9=23', '52-11=41']
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Exploring Operation: 23*41=943, Resulting Numbers: [943]
943,15 unequal: No Solution
Exploring Operation: 23+41=64, Resulting Numbers: [64]
64,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[52, 12], Operations: ['32-9=23', '23-11=12']
Exploring Operation: 52*12=624, Resulting Numbers: [624]
624,15 unequal: No Solution
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[23, 63], Operations: ['32-9=23', '11+52=63']
Exploring Operation: 23*63=1449, Resulting Numbers: [1449]
1449,15 unequal: No Solution
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 23+63=86, Resulting Numbers: [86]
86,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
58,
97,
71,
8
] | 40 | [
"97-58=39",
"71+8=79",
"79-39=40"
] | Current State: 40:[58, 97, 71, 8], Operations: []
Exploring Operation: 97-58=39, Resulting Numbers: [71, 8, 39]
Generated Node #2: [71, 8, 39] from Operation: 97-58=39
Current State: 40:[71, 8, 39], Operations: ['97-58=39']
Exploring Operation: 71+8=79, Resulting Numbers: [39, 79]
Generated Node #3: [39, 79] from Operation: 71+8=79
Current State: 40:[39, 79], Operations: ['97-58=39', '71+8=79']
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[58, 97, 71, 8], Operations: []
Exploring Operation: 97-58=39, Resulting Numbers: [71, 8, 39]
Generated Node #0,0: 40:[71, 8, 39] Operation: 97-58=39
Exploring Operation: 58-8=50, Resulting Numbers: [97, 71, 50]
Generated Node #0,1: 40:[97, 71, 50] Operation: 58-8=50
Exploring Operation: 97-71=26, Resulting Numbers: [58, 8, 26]
Generated Node #0,2: 40:[58, 8, 26] Operation: 97-71=26
Exploring Operation: 71-58=13, Resulting Numbers: [97, 8, 13]
Generated Node #0,3: 40:[97, 8, 13] Operation: 71-58=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[58, 8, 26], Operations: ['97-71=26']
Exploring Operation: 8+26=34, Resulting Numbers: [58, 34]
Generated Node #0,2,0: 40:[58, 34] Operation: 8+26=34
Exploring Operation: 58-8=50, Resulting Numbers: [26, 50]
Generated Node #0,2,1: 40:[26, 50] Operation: 58-8=50
Exploring Operation: 26-8=18, Resulting Numbers: [58, 18]
Generated Node #0,2,2: 40:[58, 18] Operation: 26-8=18
Exploring Operation: 58-26=32, Resulting Numbers: [8, 32]
Generated Node #0,2,3: 40:[8, 32] Operation: 58-26=32
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 40:[8, 32], Operations: ['97-71=26', '58-26=32']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,40 unequal: No Solution
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[58, 97, 71, 8], Operations: []
Exploring Operation: 97-71=26, Resulting Numbers: [58, 8, 26]
Generated Node #0,2: 40:[58, 8, 26] Operation: 97-71=26
Moving to Node #0,2
Current State: 40:[58, 8, 26], Operations: ['97-71=26']
Exploring Operation: 58-26=32, Resulting Numbers: [8, 32]
Generated Node #0,2,3: 40:[8, 32] Operation: 58-26=32
Moving to Node #0,2,3
Current State: 40:[8, 32], Operations: ['97-71=26', '58-26=32']
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
30,
32,
14,
82
] | 24 | [
"30+82=112",
"112/14=8",
"32-8=24"
] | Current State: 24:[30, 32, 14, 82], Operations: []
Exploring Operation: 30+82=112, Resulting Numbers: [32, 14, 112]
Generated Node #2: [32, 14, 112] from Operation: 30+82=112
Current State: 24:[32, 14, 112], Operations: ['30+82=112']
Exploring Operation: 112/14=8, Resulting Numbers: [32, 8]
Generated Node #3: [32, 8] from Operation: 112/14=8
Current State: 24:[32, 8], Operations: ['30+82=112', '112/14=8']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[30, 32, 14, 82], Operations: []
Exploring Operation: 82-32=50, Resulting Numbers: [30, 14, 50]
Generated Node #0,0: 24:[30, 14, 50] Operation: 82-32=50
Exploring Operation: 82-30=52, Resulting Numbers: [32, 14, 52]
Generated Node #0,1: 24:[32, 14, 52] Operation: 82-30=52
Moving to Node #0,0
Current State: 24:[30, 14, 50], Operations: ['82-32=50']
Exploring Operation: 50-14=36, Resulting Numbers: [30, 36]
Generated Node #0,0,0: 24:[30, 36] Operation: 50-14=36
Exploring Operation: 50-30=20, Resulting Numbers: [14, 20]
Generated Node #0,0,1: 24:[14, 20] Operation: 50-30=20
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 24:[14, 20], Operations: ['82-32=50', '50-30=20']
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[30, 36], Operations: ['82-32=50', '50-14=36']
Exploring Operation: 30+36=66, Resulting Numbers: [66]
66,24 unequal: No Solution
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,24 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: 24:[32, 14, 52], Operations: ['82-30=52']
Exploring Operation: 52-14=38, Resulting Numbers: [32, 38]
Generated Node #0,1,0: 24:[32, 38] Operation: 52-14=38
Exploring Operation: 52-32=20, Resulting Numbers: [14, 20]
Generated Node #0,1,1: 24:[14, 20] Operation: 52-32=20
Moving to Node #0,1,1
Current State: 24:[14, 20], Operations: ['82-30=52', '52-32=20']
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,24 unequal: No Solution
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[32, 38], Operations: ['82-30=52', '52-14=38']
Exploring Operation: 32+38=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,24 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
6,
48,
69,
57
] | 58 | [
"48*69=3312",
"3312-6=3306",
"3306/57=58"
] | Current State: 58:[6, 48, 69, 57], Operations: []
Exploring Operation: 48*69=3312, Resulting Numbers: [6, 57, 3312]
Generated Node #2: [6, 57, 3312] from Operation: 48*69=3312
Current State: 58:[6, 57, 3312], Operations: ['48*69=3312']
Exploring Operation: 3312-6=3306, Resulting Numbers: [57, 3306]
Generated Node #3: [57, 3306] from Operation: 3312-6=3306
Current State: 58:[57, 3306], Operations: ['48*69=3312', '3312-6=3306']
Exploring Operation: 3306/57=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[6, 48, 69, 57], Operations: []
Exploring Operation: 6+48=54, Resulting Numbers: [69, 57, 54]
Generated Node #0,0: 58:[69, 57, 54] Operation: 6+48=54
Exploring Operation: 69-48=21, Resulting Numbers: [6, 57, 21]
Generated Node #0,1: 58:[6, 57, 21] Operation: 69-48=21
Exploring Operation: 69-6=63, Resulting Numbers: [48, 57, 63]
Generated Node #0,2: 58:[48, 57, 63] Operation: 69-6=63
Moving to Node #0,1
Current State: 58:[6, 57, 21], Operations: ['69-48=21']
Exploring Operation: 57-21=36, Resulting Numbers: [6, 36]
Generated Node #0,1,0: 58:[6, 36] Operation: 57-21=36
Exploring Operation: 6+57=63, Resulting Numbers: [21, 63]
Generated Node #0,1,1: 58:[21, 63] Operation: 6+57=63
Exploring Operation: 6+21=27, Resulting Numbers: [57, 27]
Generated Node #0,1,2: 58:[57, 27] Operation: 6+21=27
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 58:[57, 27], Operations: ['69-48=21', '6+21=27']
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 57+27=84, Resulting Numbers: [84]
84,58 unequal: No Solution
Exploring Operation: 57*27=1539, Resulting Numbers: [1539]
1539,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 58:[6, 36], Operations: ['69-48=21', '57-21=36']
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[21, 63], Operations: ['69-48=21', '6+57=63']
Exploring Operation: 63/21=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Exploring Operation: 21+63=84, Resulting Numbers: [84]
84,58 unequal: No Solution
Exploring Operation: 63-21=42, Resulting Numbers: [42]
42,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 58:[69, 57, 54], Operations: ['6+48=54']
Exploring Operation: 69-57=12, Resulting Numbers: [54, 12]
Generated Node #0,0,0: 58:[54, 12] Operation: 69-57=12
Exploring Operation: 69-54=15, Resulting Numbers: [57, 15]
Generated Node #0,0,1: 58:[57, 15] Operation: 69-54=15
Exploring Operation: 57-54=3, Resulting Numbers: [69, 3]
Generated Node #0,0,2: 58:[69, 3] Operation: 57-54=3
Moving to Node #0,2
Current State: 58:[48, 57, 63], Operations: ['69-6=63']
Exploring Operation: 63-48=15, Resulting Numbers: [57, 15]
Generated Node #0,2,0: 58:[57, 15] Operation: 63-48=15
Exploring Operation: 63-57=6, Resulting Numbers: [48, 6]
Generated Node #0,2,1: 58:[48, 6] Operation: 63-57=6
Exploring Operation: 57-48=9, Resulting Numbers: [63, 9]
Generated Node #0,2,2: 58:[63, 9] Operation: 57-48=9
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 58:[63, 9], Operations: ['69-6=63', '57-48=9']
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,58 unequal: No Solution
Exploring Operation: 63/9=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 63+9=72, Resulting Numbers: [72]
72,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 58:[57, 15], Operations: ['69-6=63', '63-48=15']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 57+15=72, Resulting Numbers: [72]
72,58 unequal: No Solution
Exploring Operation: 57*15=855, Resulting Numbers: [855]
855,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 58:[48, 6], Operations: ['69-6=63', '63-57=6']
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,58 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 58:[69, 3], Operations: ['6+48=54', '57-54=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,58 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,58 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Moving to Node #0,0,0
Current State: 58:[54, 12], Operations: ['6+48=54', '69-57=12']
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 54+12=66, Resulting Numbers: [66]
66,58 unequal: No Solution
Exploring Operation: 54*12=648, Resulting Numbers: [648]
648,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[57, 15], Operations: ['6+48=54', '69-54=15']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 57+15=72, Resulting Numbers: [72]
72,58 unequal: No Solution
Exploring Operation: 57*15=855, Resulting Numbers: [855]
855,58 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
20,
70,
67,
22
] | 95 | [
"70-20=50",
"67-22=45",
"50+45=95"
] | Current State: 95:[20, 70, 67, 22], Operations: []
Exploring Operation: 70-20=50, Resulting Numbers: [67, 22, 50]
Generated Node #2: [67, 22, 50] from Operation: 70-20=50
Current State: 95:[67, 22, 50], Operations: ['70-20=50']
Exploring Operation: 67-22=45, Resulting Numbers: [50, 45]
Generated Node #3: [50, 45] from Operation: 67-22=45
Current State: 95:[50, 45], Operations: ['70-20=50', '67-22=45']
Exploring Operation: 50+45=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[20, 70, 67, 22], Operations: []
Exploring Operation: 70+22=92, Resulting Numbers: [20, 67, 92]
Generated Node #0,0: 95:[20, 67, 92] Operation: 70+22=92
Exploring Operation: 20+70=90, Resulting Numbers: [67, 22, 90]
Generated Node #0,1: 95:[67, 22, 90] Operation: 20+70=90
Exploring Operation: 67+22=89, Resulting Numbers: [20, 70, 89]
Generated Node #0,2: 95:[20, 70, 89] Operation: 67+22=89
Exploring Operation: 20+67=87, Resulting Numbers: [70, 22, 87]
Generated Node #0,3: 95:[70, 22, 87] Operation: 20+67=87
Exploring Operation: 70-67=3, Resulting Numbers: [20, 22, 3]
Generated Node #0,4: 95:[20, 22, 3] Operation: 70-67=3
Start Sub Search at level 1: Moving to Node #0,4
Current State: 95:[20, 22, 3], Operations: ['70-67=3']
Exploring Operation: 22+3=25, Resulting Numbers: [20, 25]
Generated Node #0,4,0: 95:[20, 25] Operation: 22+3=25
Exploring Operation: 22-3=19, Resulting Numbers: [20, 19]
Generated Node #0,4,1: 95:[20, 19] Operation: 22-3=19
Exploring Operation: 20+3=23, Resulting Numbers: [22, 23]
Generated Node #0,4,2: 95:[22, 23] Operation: 20+3=23
Exploring Operation: 20-3=17, Resulting Numbers: [22, 17]
Generated Node #0,4,3: 95:[22, 17] Operation: 20-3=17
Exploring Operation: 22-20=2, Resulting Numbers: [3, 2]
Generated Node #0,4,4: 95:[3, 2] Operation: 22-20=2
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 95:[20, 19], Operations: ['70-67=3', '22-3=19']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 95:[22, 17], Operations: ['70-67=3', '20-3=17']
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Exploring Operation: 22*17=374, Resulting Numbers: [374]
374,95 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 95:[3, 2], Operations: ['70-67=3', '22-20=2']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 95:[20, 25], Operations: ['70-67=3', '22+3=25']
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,95 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 95:[22, 23], Operations: ['70-67=3', '20+3=23']
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 22+23=45, Resulting Numbers: [45]
45,95 unequal: No Solution
Exploring Operation: 22*23=506, Resulting Numbers: [506]
506,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[20, 67, 92], Operations: ['70+22=92']
Exploring Operation: 92-20=72, Resulting Numbers: [67, 72]
Generated Node #0,0,0: 95:[67, 72] Operation: 92-20=72
Exploring Operation: 20+67=87, Resulting Numbers: [92, 87]
Generated Node #0,0,1: 95:[92, 87] Operation: 20+67=87
Exploring Operation: 67-20=47, Resulting Numbers: [92, 47]
Generated Node #0,0,2: 95:[92, 47] Operation: 67-20=47
Exploring Operation: 20+92=112, Resulting Numbers: [67, 112]
Generated Node #0,0,3: 95:[67, 112] Operation: 20+92=112
Exploring Operation: 92-67=25, Resulting Numbers: [20, 25]
Generated Node #0,0,4: 95:[20, 25] Operation: 92-67=25
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 95:[20, 25], Operations: ['70+22=92', '92-67=25']
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,95 unequal: No Solution
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,95 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 95:[92, 87], Operations: ['70+22=92', '20+67=87']
Exploring Operation: 92*87=8004, Resulting Numbers: [8004]
8004,95 unequal: No Solution
Exploring Operation: 92-87=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 92+87=179, Resulting Numbers: [179]
179,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 95:[92, 47], Operations: ['70+22=92', '67-20=47']
Exploring Operation: 92*47=4324, Resulting Numbers: [4324]
4324,95 unequal: No Solution
Exploring Operation: 92-47=45, Resulting Numbers: [45]
45,95 unequal: No Solution
Exploring Operation: 92+47=139, Resulting Numbers: [139]
139,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 95:[67, 112], Operations: ['70+22=92', '20+92=112']
Exploring Operation: 67+112=179, Resulting Numbers: [179]
179,95 unequal: No Solution
Exploring Operation: 67*112=7504, Resulting Numbers: [7504]
7504,95 unequal: No Solution
Exploring Operation: 112-67=45, Resulting Numbers: [45]
45,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[67, 72], Operations: ['70+22=92', '92-20=72']
Exploring Operation: 72-67=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 67+72=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Exploring Operation: 67*72=4824, Resulting Numbers: [4824]
4824,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[20, 70, 89], Operations: ['67+22=89']
Exploring Operation: 20+70=90, Resulting Numbers: [89, 90]
Generated Node #0,2,0: 95:[89, 90] Operation: 20+70=90
Exploring Operation: 20+89=109, Resulting Numbers: [70, 109]
Generated Node #0,2,1: 95:[70, 109] Operation: 20+89=109
Exploring Operation: 89-20=69, Resulting Numbers: [70, 69]
Generated Node #0,2,2: 95:[70, 69] Operation: 89-20=69
Exploring Operation: 89-70=19, Resulting Numbers: [20, 19]
Generated Node #0,2,3: 95:[20, 19] Operation: 89-70=19
Exploring Operation: 70-20=50, Resulting Numbers: [89, 50]
Generated Node #0,2,4: 95:[89, 50] Operation: 70-20=50
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 95:[20, 19], Operations: ['67+22=89', '89-70=19']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 95:[89, 90], Operations: ['67+22=89', '20+70=90']
Exploring Operation: 89*90=8010, Resulting Numbers: [8010]
8010,95 unequal: No Solution
Exploring Operation: 90-89=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 89+90=179, Resulting Numbers: [179]
179,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 95:[89, 50], Operations: ['67+22=89', '70-20=50']
Exploring Operation: 89*50=4450, Resulting Numbers: [4450]
4450,95 unequal: No Solution
Exploring Operation: 89+50=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Exploring Operation: 89-50=39, Resulting Numbers: [39]
39,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 95:[70, 109], Operations: ['67+22=89', '20+89=109']
Exploring Operation: 109-70=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Exploring Operation: 70+109=179, Resulting Numbers: [179]
179,95 unequal: No Solution
Exploring Operation: 70*109=7630, Resulting Numbers: [7630]
7630,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 95:[70, 69], Operations: ['67+22=89', '89-20=69']
Exploring Operation: 70*69=4830, Resulting Numbers: [4830]
4830,95 unequal: No Solution
Exploring Operation: 70+69=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Exploring Operation: 70-69=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[67, 22, 90], Operations: ['20+70=90']
Exploring Operation: 67+22=89, Resulting Numbers: [90, 89]
Generated Node #0,1,0: 95:[90, 89] Operation: 67+22=89
Exploring Operation: 90-22=68, Resulting Numbers: [67, 68]
Generated Node #0,1,1: 95:[67, 68] Operation: 90-22=68
Exploring Operation: 22+90=112, Resulting Numbers: [67, 112]
Generated Node #0,1,2: 95:[67, 112] Operation: 22+90=112
Exploring Operation: 67-22=45, Resulting Numbers: [90, 45]
Generated Node #0,1,3: 95:[90, 45] Operation: 67-22=45
Exploring Operation: 90-67=23, Resulting Numbers: [22, 23]
Generated Node #0,1,4: 95:[22, 23] Operation: 90-67=23
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 95:[22, 23], Operations: ['20+70=90', '90-67=23']
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 22*23=506, Resulting Numbers: [506]
506,95 unequal: No Solution
Exploring Operation: 22+23=45, Resulting Numbers: [45]
45,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 95:[90, 89], Operations: ['20+70=90', '67+22=89']
Exploring Operation: 90+89=179, Resulting Numbers: [179]
179,95 unequal: No Solution
Exploring Operation: 90*89=8010, Resulting Numbers: [8010]
8010,95 unequal: No Solution
Exploring Operation: 90-89=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 95:[90, 45], Operations: ['20+70=90', '67-22=45']
Exploring Operation: 90*45=4050, Resulting Numbers: [4050]
4050,95 unequal: No Solution
Exploring Operation: 90/45=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 90+45=135, Resulting Numbers: [135]
135,95 unequal: No Solution
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 95:[67, 112], Operations: ['20+70=90', '22+90=112']
Exploring Operation: 67+112=179, Resulting Numbers: [179]
179,95 unequal: No Solution
Exploring Operation: 112-67=45, Resulting Numbers: [45]
45,95 unequal: No Solution
Exploring Operation: 67*112=7504, Resulting Numbers: [7504]
7504,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 95:[67, 68], Operations: ['20+70=90', '90-22=68']
Exploring Operation: 67+68=135, Resulting Numbers: [135]
135,95 unequal: No Solution
Exploring Operation: 68-67=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 67*68=4556, Resulting Numbers: [4556]
4556,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 95:[70, 22, 87], Operations: ['20+67=87']
Exploring Operation: 22+87=109, Resulting Numbers: [70, 109]
Generated Node #0,3,0: 95:[70, 109] Operation: 22+87=109
Exploring Operation: 70-22=48, Resulting Numbers: [87, 48]
Generated Node #0,3,1: 95:[87, 48] Operation: 70-22=48
Exploring Operation: 87-70=17, Resulting Numbers: [22, 17]
Generated Node #0,3,2: 95:[22, 17] Operation: 87-70=17
Exploring Operation: 70+22=92, Resulting Numbers: [87, 92]
Generated Node #0,3,3: 95:[87, 92] Operation: 70+22=92
Exploring Operation: 87-22=65, Resulting Numbers: [70, 65]
Generated Node #0,3,4: 95:[70, 65] Operation: 87-22=65
Moving to Node #0,3,2
Current State: 95:[22, 17], Operations: ['20+67=87', '87-70=17']
Exploring Operation: 22*17=374, Resulting Numbers: [374]
374,95 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Moving to Node #0,3,3
Current State: 95:[87, 92], Operations: ['20+67=87', '70+22=92']
Exploring Operation: 87*92=8004, Resulting Numbers: [8004]
8004,95 unequal: No Solution
Exploring Operation: 87+92=179, Resulting Numbers: [179]
179,95 unequal: No Solution
Exploring Operation: 92-87=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Moving to Node #0,3,1
Current State: 95:[87, 48], Operations: ['20+67=87', '70-22=48']
Exploring Operation: 87*48=4176, Resulting Numbers: [4176]
4176,95 unequal: No Solution
Exploring Operation: 87+48=135, Resulting Numbers: [135]
135,95 unequal: No Solution
Exploring Operation: 87-48=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Moving to Node #0,3,0
Current State: 95:[70, 109], Operations: ['20+67=87', '22+87=109']
Exploring Operation: 109-70=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Exploring Operation: 70+109=179, Resulting Numbers: [179]
179,95 unequal: No Solution
Exploring Operation: 70*109=7630, Resulting Numbers: [7630]
7630,95 unequal: No Solution
Moving to Node #0,3,4
Current State: 95:[70, 65], Operations: ['20+67=87', '87-22=65']
Exploring Operation: 70*65=4550, Resulting Numbers: [4550]
4550,95 unequal: No Solution
Exploring Operation: 70-65=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 70+65=135, Resulting Numbers: [135]
135,95 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 |
[
32,
36,
40,
52
] | 54 | [
"32+40=72",
"72/36=2",
"52+2=54"
] | Current State: 54:[32, 36, 40, 52], Operations: []
Exploring Operation: 32+40=72, Resulting Numbers: [36, 52, 72]
Generated Node #2: [36, 52, 72] from Operation: 32+40=72
Current State: 54:[36, 52, 72], Operations: ['32+40=72']
Exploring Operation: 72/36=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 72/36=2
Current State: 54:[52, 2], Operations: ['32+40=72', '72/36=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[32, 36, 40, 52], Operations: []
Exploring Operation: 52-40=12, Resulting Numbers: [32, 36, 12]
Generated Node #0,0: 54:[32, 36, 12] Operation: 52-40=12
Exploring Operation: 40-36=4, Resulting Numbers: [32, 52, 4]
Generated Node #0,1: 54:[32, 52, 4] Operation: 40-36=4
Exploring Operation: 36-32=4, Resulting Numbers: [40, 52, 4]
Generated Node #0,2: 54:[40, 52, 4] Operation: 36-32=4
Exploring Operation: 40-32=8, Resulting Numbers: [36, 52, 8]
Generated Node #0,3: 54:[36, 52, 8] Operation: 40-32=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[32, 52, 4], Operations: ['40-36=4']
Exploring Operation: 32-4=28, Resulting Numbers: [52, 28]
Generated Node #0,1,0: 54:[52, 28] Operation: 32-4=28
Exploring Operation: 52+4=56, Resulting Numbers: [32, 56]
Generated Node #0,1,1: 54:[32, 56] Operation: 52+4=56
Exploring Operation: 52-32=20, Resulting Numbers: [4, 20]
Generated Node #0,1,2: 54:[4, 20] Operation: 52-32=20
Exploring Operation: 32/4=8, Resulting Numbers: [52, 8]
Generated Node #0,1,3: 54:[52, 8] Operation: 32/4=8
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 54:[52, 28], Operations: ['40-36=4', '32-4=28']
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 52*28=1456, Resulting Numbers: [1456]
1456,54 unequal: No Solution
Exploring Operation: 52+28=80, Resulting Numbers: [80]
80,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 54:[4, 20], Operations: ['40-36=4', '52-32=20']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,54 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,54 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 54:[52, 8], Operations: ['40-36=4', '32/4=8']
Exploring Operation: 52*8=416, Resulting Numbers: [416]
416,54 unequal: No Solution
Exploring Operation: 52+8=60, Resulting Numbers: [60]
60,54 unequal: No Solution
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 54:[32, 56], Operations: ['40-36=4', '52+4=56']
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 32+56=88, Resulting Numbers: [88]
88,54 unequal: No Solution
Exploring Operation: 32*56=1792, Resulting Numbers: [1792]
1792,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 54:[36, 52, 8], Operations: ['40-32=8']
Exploring Operation: 36+8=44, Resulting Numbers: [52, 44]
Generated Node #0,3,0: 54:[52, 44] Operation: 36+8=44
Exploring Operation: 52-36=16, Resulting Numbers: [8, 16]
Generated Node #0,3,1: 54:[8, 16] Operation: 52-36=16
Exploring Operation: 52+8=60, Resulting Numbers: [36, 60]
Generated Node #0,3,2: 54:[36, 60] Operation: 52+8=60
Exploring Operation: 36-8=28, Resulting Numbers: [52, 28]
Generated Node #0,3,3: 54:[52, 28] Operation: 36-8=28
Moving to Node #0,3,1
Current State: 54:[8, 16], Operations: ['40-32=8', '52-36=16']
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 8*16=128, Resulting Numbers: [128]
128,54 unequal: No Solution
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 8+16=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Moving to Node #0,3,3
Current State: 54:[52, 28], Operations: ['40-32=8', '36-8=28']
Exploring Operation: 52*28=1456, Resulting Numbers: [1456]
1456,54 unequal: No Solution
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 52+28=80, Resulting Numbers: [80]
80,54 unequal: No Solution
Moving to Node #0,3,0
Current State: 54:[52, 44], Operations: ['40-32=8', '36+8=44']
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,54 unequal: No Solution
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 52*44=2288, Resulting Numbers: [2288]
2288,54 unequal: No Solution
Moving to Node #0,3,2
Current State: 54:[36, 60], Operations: ['40-32=8', '52+8=60']
Exploring Operation: 36+60=96, Resulting Numbers: [96]
96,54 unequal: No Solution
Exploring Operation: 60-36=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 36*60=2160, Resulting Numbers: [2160]
2160,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[40, 52, 4], Operations: ['36-32=4']
Exploring Operation: 40/4=10, Resulting Numbers: [52, 10]
Generated Node #0,2,0: 54:[52, 10] Operation: 40/4=10
Exploring Operation: 52-40=12, Resulting Numbers: [4, 12]
Generated Node #0,2,1: 54:[4, 12] Operation: 52-40=12
Exploring Operation: 40-4=36, Resulting Numbers: [52, 36]
Generated Node #0,2,2: 54:[52, 36] Operation: 40-4=36
Exploring Operation: 40+4=44, Resulting Numbers: [52, 44]
Generated Node #0,2,3: 54:[52, 44] Operation: 40+4=44
Moving to Node #0,2,0
Current State: 54:[52, 10], Operations: ['36-32=4', '40/4=10']
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,54 unequal: No Solution
Exploring Operation: 52*10=520, Resulting Numbers: [520]
520,54 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,54 unequal: No Solution
Moving to Node #0,2,1
Current State: 54:[4, 12], Operations: ['36-32=4', '52-40=12']
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,54 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Moving to Node #0,2,2
Current State: 54:[52, 36], Operations: ['36-32=4', '40-4=36']
Exploring Operation: 52*36=1872, Resulting Numbers: [1872]
1872,54 unequal: No Solution
Exploring Operation: 52+36=88, Resulting Numbers: [88]
88,54 unequal: No Solution
Exploring Operation: 52-36=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Moving to Node #0,2,3
Current State: 54:[52, 44], Operations: ['36-32=4', '40+4=44']
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,54 unequal: No Solution
Exploring Operation: 52*44=2288, Resulting Numbers: [2288]
2288,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[32, 36, 12], Operations: ['52-40=12']
Exploring Operation: 32-12=20, Resulting Numbers: [36, 20]
Generated Node #0,0,0: 54:[36, 20] Operation: 32-12=20
Exploring Operation: 36/12=3, Resulting Numbers: [32, 3]
Generated Node #0,0,1: 54:[32, 3] Operation: 36/12=3
Exploring Operation: 36-32=4, Resulting Numbers: [12, 4]
Generated Node #0,0,2: 54:[12, 4] Operation: 36-32=4
Exploring Operation: 36-12=24, Resulting Numbers: [32, 24]
Generated Node #0,0,3: 54:[32, 24] Operation: 36-12=24
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 54:[12, 4], Operations: ['52-40=12', '36-32=4']
Exploring Operation: 12*4=48, Resulting Numbers: [48]
48,54 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 54:[32, 3], Operations: ['52-40=12', '36/12=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,54 unequal: No Solution
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,54 unequal: No Solution
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 54:[32, 24], Operations: ['52-40=12', '36-12=24']
Exploring Operation: 32*24=768, Resulting Numbers: [768]
768,54 unequal: No Solution
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[36, 20], Operations: ['52-40=12', '32-12=20']
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,54 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
53,
60,
94,
47
] | 84 | [
"53-47=6",
"60/6=10",
"94-10=84"
] | Current State: 84:[53, 60, 94, 47], Operations: []
Exploring Operation: 53-47=6, Resulting Numbers: [60, 94, 6]
Generated Node #2: [60, 94, 6] from Operation: 53-47=6
Current State: 84:[60, 94, 6], Operations: ['53-47=6']
Exploring Operation: 60/6=10, Resulting Numbers: [94, 10]
Generated Node #3: [94, 10] from Operation: 60/6=10
Current State: 84:[94, 10], Operations: ['53-47=6', '60/6=10']
Exploring Operation: 94-10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[53, 60, 94, 47], Operations: []
Exploring Operation: 94-60=34, Resulting Numbers: [53, 47, 34]
Generated Node #0,0: 84:[53, 47, 34] Operation: 94-60=34
Exploring Operation: 60-47=13, Resulting Numbers: [53, 94, 13]
Generated Node #0,1: 84:[53, 94, 13] Operation: 60-47=13
Exploring Operation: 94-53=41, Resulting Numbers: [60, 47, 41]
Generated Node #0,2: 84:[60, 47, 41] Operation: 94-53=41
Exploring Operation: 60-53=7, Resulting Numbers: [94, 47, 7]
Generated Node #0,3: 84:[94, 47, 7] Operation: 60-53=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 84:[94, 47, 7], Operations: ['60-53=7']
Exploring Operation: 94-47=47, Resulting Numbers: [7, 47]
Generated Node #0,3,0: 84:[7, 47] Operation: 94-47=47
Exploring Operation: 47-7=40, Resulting Numbers: [94, 40]
Generated Node #0,3,1: 84:[94, 40] Operation: 47-7=40
Exploring Operation: 94-7=87, Resulting Numbers: [47, 87]
Generated Node #0,3,2: 84:[47, 87] Operation: 94-7=87
Exploring Operation: 94/47=2, Resulting Numbers: [7, 2]
Generated Node #0,3,3: 84:[7, 2] Operation: 94/47=2
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 84:[7, 2], Operations: ['60-53=7', '94/47=2']
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 84:[7, 47], Operations: ['60-53=7', '94-47=47']
Exploring Operation: 7*47=329, Resulting Numbers: [329]
329,84 unequal: No Solution
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 7+47=54, Resulting Numbers: [54]
54,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 84:[47, 87], Operations: ['60-53=7', '94-7=87']
Exploring Operation: 47+87=134, Resulting Numbers: [134]
134,84 unequal: No Solution
Exploring Operation: 87-47=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 47*87=4089, Resulting Numbers: [4089]
4089,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 84:[94, 40], Operations: ['60-53=7', '47-7=40']
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,84 unequal: No Solution
Exploring Operation: 94*40=3760, Resulting Numbers: [3760]
3760,84 unequal: No Solution
Exploring Operation: 94+40=134, Resulting Numbers: [134]
134,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[53, 47, 34], Operations: ['94-60=34']
Exploring Operation: 47-34=13, Resulting Numbers: [53, 13]
Generated Node #0,0,0: 84:[53, 13] Operation: 47-34=13
Exploring Operation: 53+34=87, Resulting Numbers: [47, 87]
Generated Node #0,0,1: 84:[47, 87] Operation: 53+34=87
Exploring Operation: 53-34=19, Resulting Numbers: [47, 19]
Generated Node #0,0,2: 84:[47, 19] Operation: 53-34=19
Exploring Operation: 53-47=6, Resulting Numbers: [34, 6]
Generated Node #0,0,3: 84:[34, 6] Operation: 53-47=6
Moving to Node #0,0,3
Current State: 84:[34, 6], Operations: ['94-60=34', '53-47=6']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[47, 19], Operations: ['94-60=34', '53-34=19']
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 47*19=893, Resulting Numbers: [893]
893,84 unequal: No Solution
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[47, 87], Operations: ['94-60=34', '53+34=87']
Exploring Operation: 47+87=134, Resulting Numbers: [134]
134,84 unequal: No Solution
Exploring Operation: 87-47=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 47*87=4089, Resulting Numbers: [4089]
4089,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[53, 13], Operations: ['94-60=34', '47-34=13']
Exploring Operation: 53+13=66, Resulting Numbers: [66]
66,84 unequal: No Solution
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 53*13=689, Resulting Numbers: [689]
689,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[53, 94, 13], Operations: ['60-47=13']
Exploring Operation: 94-53=41, Resulting Numbers: [13, 41]
Generated Node #0,1,0: 84:[13, 41] Operation: 94-53=41
Exploring Operation: 53-13=40, Resulting Numbers: [94, 40]
Generated Node #0,1,1: 84:[94, 40] Operation: 53-13=40
Exploring Operation: 53+13=66, Resulting Numbers: [94, 66]
Generated Node #0,1,2: 84:[94, 66] Operation: 53+13=66
Exploring Operation: 94-13=81, Resulting Numbers: [53, 81]
Generated Node #0,1,3: 84:[53, 81] Operation: 94-13=81
Moving to Node #0,1,0
Current State: 84:[13, 41], Operations: ['60-47=13', '94-53=41']
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 13+41=54, Resulting Numbers: [54]
54,84 unequal: No Solution
Exploring Operation: 13*41=533, Resulting Numbers: [533]
533,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[94, 40], Operations: ['60-47=13', '53-13=40']
Exploring Operation: 94*40=3760, Resulting Numbers: [3760]
3760,84 unequal: No Solution
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,84 unequal: No Solution
Exploring Operation: 94+40=134, Resulting Numbers: [134]
134,84 unequal: No Solution
Moving to Node #0,1,3
Current State: 84:[53, 81], Operations: ['60-47=13', '94-13=81']
Exploring Operation: 53*81=4293, Resulting Numbers: [4293]
4293,84 unequal: No Solution
Exploring Operation: 81-53=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 53+81=134, Resulting Numbers: [134]
134,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[94, 66], Operations: ['60-47=13', '53+13=66']
Exploring Operation: 94-66=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 94+66=160, Resulting Numbers: [160]
160,84 unequal: No Solution
Exploring Operation: 94*66=6204, Resulting Numbers: [6204]
6204,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[60, 47, 41], Operations: ['94-53=41']
Exploring Operation: 60-47=13, Resulting Numbers: [41, 13]
Generated Node #0,2,0: 84:[41, 13] Operation: 60-47=13
Exploring Operation: 60+41=101, Resulting Numbers: [47, 101]
Generated Node #0,2,1: 84:[47, 101] Operation: 60+41=101
Exploring Operation: 60-41=19, Resulting Numbers: [47, 19]
Generated Node #0,2,2: 84:[47, 19] Operation: 60-41=19
Exploring Operation: 47-41=6, Resulting Numbers: [60, 6]
Generated Node #0,2,3: 84:[60, 6] Operation: 47-41=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 84:[41, 13], Operations: ['94-53=41', '60-47=13']
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,84 unequal: No Solution
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,84 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 84:[47, 19], Operations: ['94-53=41', '60-41=19']
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 47*19=893, Resulting Numbers: [893]
893,84 unequal: No Solution
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 84:[60, 6], Operations: ['94-53=41', '47-41=6']
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,84 unequal: No Solution
Exploring Operation: 60*6=360, Resulting Numbers: [360]
360,84 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,84 unequal: No Solution
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 84:[47, 101], Operations: ['94-53=41', '60+41=101']
Exploring Operation: 101-47=54, Resulting Numbers: [54]
54,84 unequal: No Solution
Exploring Operation: 47+101=148, Resulting Numbers: [148]
148,84 unequal: No Solution
Exploring Operation: 47*101=4747, Resulting Numbers: [4747]
4747,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
20,
87,
24,
83
] | 14 | [
"87-83=4",
"24/4=6",
"20-6=14"
] | Current State: 14:[20, 87, 24, 83], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [20, 24, 4]
Generated Node #2: [20, 24, 4] from Operation: 87-83=4
Current State: 14:[20, 24, 4], Operations: ['87-83=4']
Exploring Operation: 24/4=6, Resulting Numbers: [20, 6]
Generated Node #3: [20, 6] from Operation: 24/4=6
Current State: 14:[20, 6], Operations: ['87-83=4', '24/4=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[20, 87, 24, 83], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [20, 24, 4]
Generated Node #0,0: 14:[20, 24, 4] Operation: 87-83=4
Exploring Operation: 87-24=63, Resulting Numbers: [20, 83, 63]
Generated Node #0,1: 14:[20, 83, 63] Operation: 87-24=63
Exploring Operation: 83-24=59, Resulting Numbers: [20, 87, 59]
Generated Node #0,2: 14:[20, 87, 59] Operation: 83-24=59
Exploring Operation: 87-20=67, Resulting Numbers: [24, 83, 67]
Generated Node #0,3: 14:[24, 83, 67] Operation: 87-20=67
Moving to Node #0,0
Current State: 14:[20, 24, 4], Operations: ['87-83=4']
Exploring Operation: 24-20=4, Resulting Numbers: [4, 4]
Generated Node #0,0,0: 14:[4, 4] Operation: 24-20=4
Exploring Operation: 20-4=16, Resulting Numbers: [24, 16]
Generated Node #0,0,1: 14:[24, 16] Operation: 20-4=16
Exploring Operation: 24/4=6, Resulting Numbers: [20, 6]
Generated Node #0,0,2: 14:[20, 6] Operation: 24/4=6
Exploring Operation: 20/4=5, Resulting Numbers: [24, 5]
Generated Node #0,0,3: 14:[24, 5] Operation: 20/4=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[4, 4], Operations: ['87-83=4', '24-20=4']
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,14 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[20, 6], Operations: ['87-83=4', '24/4=6']
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 20*6=120, Resulting Numbers: [120]
120,14 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[20, 87, 24, 83], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [20, 24, 4]
Generated Node #0,0: 14:[20, 24, 4] Operation: 87-83=4
Moving to Node #0,0
Current State: 14:[20, 24, 4], Operations: ['87-83=4']
Exploring Operation: 24/4=6, Resulting Numbers: [20, 6]
Generated Node #0,0,2: 14:[20, 6] Operation: 24/4=6
Moving to Node #0,0,2
Current State: 14:[20, 6], Operations: ['87-83=4', '24/4=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
23,
25,
94,
34
] | 77 | [
"25-23=2",
"34/2=17",
"94-17=77"
] | Current State: 77:[23, 25, 94, 34], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [94, 34, 2]
Generated Node #2: [94, 34, 2] from Operation: 25-23=2
Current State: 77:[94, 34, 2], Operations: ['25-23=2']
Exploring Operation: 34/2=17, Resulting Numbers: [94, 17]
Generated Node #3: [94, 17] from Operation: 34/2=17
Current State: 77:[94, 17], Operations: ['25-23=2', '34/2=17']
Exploring Operation: 94-17=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[23, 25, 94, 34], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [25, 94, 11]
Generated Node #0,0: 77:[25, 94, 11] Operation: 34-23=11
Exploring Operation: 94-25=69, Resulting Numbers: [23, 34, 69]
Generated Node #0,1: 77:[23, 34, 69] Operation: 94-25=69
Exploring Operation: 94-23=71, Resulting Numbers: [25, 34, 71]
Generated Node #0,2: 77:[25, 34, 71] Operation: 94-23=71
Exploring Operation: 34-25=9, Resulting Numbers: [23, 94, 9]
Generated Node #0,3: 77:[23, 94, 9] Operation: 34-25=9
Exploring Operation: 94-34=60, Resulting Numbers: [23, 25, 60]
Generated Node #0,4: 77:[23, 25, 60] Operation: 94-34=60
Moving to Node #0,0
Current State: 77:[25, 94, 11], Operations: ['34-23=11']
Exploring Operation: 25+11=36, Resulting Numbers: [94, 36]
Generated Node #0,0,0: 77:[94, 36] Operation: 25+11=36
Exploring Operation: 94-25=69, Resulting Numbers: [11, 69]
Generated Node #0,0,1: 77:[11, 69] Operation: 94-25=69
Exploring Operation: 25-11=14, Resulting Numbers: [94, 14]
Generated Node #0,0,2: 77:[94, 14] Operation: 25-11=14
Exploring Operation: 25+94=119, Resulting Numbers: [11, 119]
Generated Node #0,0,3: 77:[11, 119] Operation: 25+94=119
Exploring Operation: 94-11=83, Resulting Numbers: [25, 83]
Generated Node #0,0,4: 77:[25, 83] Operation: 94-11=83
Moving to Node #0,3
Current State: 77:[23, 94, 9], Operations: ['34-25=9']
Exploring Operation: 23-9=14, Resulting Numbers: [94, 14]
Generated Node #0,3,0: 77:[94, 14] Operation: 23-9=14
Exploring Operation: 94-23=71, Resulting Numbers: [9, 71]
Generated Node #0,3,1: 77:[9, 71] Operation: 94-23=71
Exploring Operation: 94+9=103, Resulting Numbers: [23, 103]
Generated Node #0,3,2: 77:[23, 103] Operation: 94+9=103
Exploring Operation: 23+9=32, Resulting Numbers: [94, 32]
Generated Node #0,3,3: 77:[94, 32] Operation: 23+9=32
Exploring Operation: 94-9=85, Resulting Numbers: [23, 85]
Generated Node #0,3,4: 77:[23, 85] Operation: 94-9=85
Moving to Node #0,1
Current State: 77:[23, 34, 69], Operations: ['94-25=69']
Exploring Operation: 23+34=57, Resulting Numbers: [69, 57]
Generated Node #0,1,0: 77:[69, 57] Operation: 23+34=57
Exploring Operation: 69-34=35, Resulting Numbers: [23, 35]
Generated Node #0,1,1: 77:[23, 35] Operation: 69-34=35
Exploring Operation: 69/23=3, Resulting Numbers: [34, 3]
Generated Node #0,1,2: 77:[34, 3] Operation: 69/23=3
Exploring Operation: 23+69=92, Resulting Numbers: [34, 92]
Generated Node #0,1,3: 77:[34, 92] Operation: 23+69=92
Exploring Operation: 34-23=11, Resulting Numbers: [69, 11]
Generated Node #0,1,4: 77:[69, 11] Operation: 34-23=11
Moving to Node #0,2
Current State: 77:[25, 34, 71], Operations: ['94-23=71']
Exploring Operation: 71-34=37, Resulting Numbers: [25, 37]
Generated Node #0,2,0: 77:[25, 37] Operation: 71-34=37
Exploring Operation: 25+34=59, Resulting Numbers: [71, 59]
Generated Node #0,2,1: 77:[71, 59] Operation: 25+34=59
Exploring Operation: 25+71=96, Resulting Numbers: [34, 96]
Generated Node #0,2,2: 77:[34, 96] Operation: 25+71=96
Exploring Operation: 34-25=9, Resulting Numbers: [71, 9]
Generated Node #0,2,3: 77:[71, 9] Operation: 34-25=9
Exploring Operation: 34+71=105, Resulting Numbers: [25, 105]
Generated Node #0,2,4: 77:[25, 105] Operation: 34+71=105
Moving to Node #0,4
Current State: 77:[23, 25, 60], Operations: ['94-34=60']
Exploring Operation: 60-25=35, Resulting Numbers: [23, 35]
Generated Node #0,4,0: 77:[23, 35] Operation: 60-25=35
Exploring Operation: 25+60=85, Resulting Numbers: [23, 85]
Generated Node #0,4,1: 77:[23, 85] Operation: 25+60=85
Exploring Operation: 23+60=83, Resulting Numbers: [25, 83]
Generated Node #0,4,2: 77:[25, 83] Operation: 23+60=83
Exploring Operation: 60-23=37, Resulting Numbers: [25, 37]
Generated Node #0,4,3: 77:[25, 37] Operation: 60-23=37
Exploring Operation: 25-23=2, Resulting Numbers: [60, 2]
Generated Node #0,4,4: 77:[60, 2] Operation: 25-23=2
Moving to Node #0,0,1
Current State: 77:[11, 69], Operations: ['34-23=11', '94-25=69']
Exploring Operation: 11*69=759, Resulting Numbers: [759]
759,77 unequal: No Solution
Exploring Operation: 11+69=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,77 unequal: No Solution
Moving to Node #0,3,1
Current State: 77:[9, 71], Operations: ['34-25=9', '94-23=71']
Exploring Operation: 9*71=639, Resulting Numbers: [639]
639,77 unequal: No Solution
Exploring Operation: 9+71=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Moving to Node #0,1,4
Current State: 77:[69, 11], Operations: ['94-25=69', '34-23=11']
Exploring Operation: 69*11=759, Resulting Numbers: [759]
759,77 unequal: No Solution
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,77 unequal: No Solution
Exploring Operation: 69+11=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Moving to Node #0,2,3
Current State: 77:[71, 9], Operations: ['94-23=71', '34-25=9']
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Exploring Operation: 71+9=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 71*9=639, Resulting Numbers: [639]
639,77 unequal: No Solution
Moving to Node #0,3,0
Current State: 77:[94, 14], Operations: ['34-25=9', '23-9=14']
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 94*14=1316, Resulting Numbers: [1316]
1316,77 unequal: No Solution
Exploring Operation: 94+14=108, Resulting Numbers: [108]
108,77 unequal: No Solution
Moving to Node #0,0,4
Current State: 77:[25, 83], Operations: ['34-23=11', '94-11=83']
Exploring Operation: 83-25=58, Resulting Numbers: [58]
58,77 unequal: No Solution
Exploring Operation: 25+83=108, Resulting Numbers: [108]
108,77 unequal: No Solution
Exploring Operation: 25*83=2075, Resulting Numbers: [2075]
2075,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[94, 14], Operations: ['34-23=11', '25-11=14']
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 94*14=1316, Resulting Numbers: [1316]
1316,77 unequal: No Solution
Exploring Operation: 94+14=108, Resulting Numbers: [108]
108,77 unequal: No Solution
Moving to Node #0,4,2
Current State: 77:[25, 83], Operations: ['94-34=60', '23+60=83']
Exploring Operation: 83-25=58, Resulting Numbers: [58]
58,77 unequal: No Solution
Exploring Operation: 25+83=108, Resulting Numbers: [108]
108,77 unequal: No Solution
Exploring Operation: 25*83=2075, Resulting Numbers: [2075]
2075,77 unequal: No Solution
Moving to Node #0,4,1
Current State: 77:[23, 85], Operations: ['94-34=60', '25+60=85']
Exploring Operation: 23*85=1955, Resulting Numbers: [1955]
1955,77 unequal: No Solution
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Exploring Operation: 23+85=108, Resulting Numbers: [108]
108,77 unequal: No Solution
Moving to Node #0,3,4
Current State: 77:[23, 85], Operations: ['34-25=9', '94-9=85']
Exploring Operation: 23*85=1955, Resulting Numbers: [1955]
1955,77 unequal: No Solution
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Exploring Operation: 23+85=108, Resulting Numbers: [108]
108,77 unequal: No Solution
Moving to Node #0,4,4
Current State: 77:[60, 2], Operations: ['94-34=60', '25-23=2']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,77 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,77 unequal: No Solution
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Exploring Operation: 60*2=120, Resulting Numbers: [120]
120,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[71, 59], Operations: ['94-23=71', '25+34=59']
Exploring Operation: 71+59=130, Resulting Numbers: [130]
130,77 unequal: No Solution
Exploring Operation: 71-59=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 71*59=4189, Resulting Numbers: [4189]
4189,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[34, 3], Operations: ['94-25=69', '69/23=3']
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,77 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,77 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[69, 57], Operations: ['94-25=69', '23+34=57']
Exploring Operation: 69*57=3933, Resulting Numbers: [3933]
3933,77 unequal: No Solution
Exploring Operation: 69+57=126, Resulting Numbers: [126]
126,77 unequal: No Solution
Exploring Operation: 69-57=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[23, 35], Operations: ['94-25=69', '69-34=35']
Exploring Operation: 23+35=58, Resulting Numbers: [58]
58,77 unequal: No Solution
Exploring Operation: 23*35=805, Resulting Numbers: [805]
805,77 unequal: No Solution
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Moving to Node #0,4,0
Current State: 77:[23, 35], Operations: ['94-34=60', '60-25=35']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 23*35=805, Resulting Numbers: [805]
805,77 unequal: No Solution
Exploring Operation: 23+35=58, Resulting Numbers: [58]
58,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[94, 32], Operations: ['34-25=9', '23+9=32']
Exploring Operation: 94*32=3008, Resulting Numbers: [3008]
3008,77 unequal: No Solution
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Exploring Operation: 94+32=126, Resulting Numbers: [126]
126,77 unequal: No Solution
Moving to Node #0,3,2
Current State: 77:[23, 103], Operations: ['34-25=9', '94+9=103']
Exploring Operation: 23*103=2369, Resulting Numbers: [2369]
2369,77 unequal: No Solution
Exploring Operation: 103-23=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 23+103=126, Resulting Numbers: [126]
126,77 unequal: No Solution
Moving to Node #0,1,3
Current State: 77:[34, 92], Operations: ['94-25=69', '23+69=92']
Exploring Operation: 34+92=126, Resulting Numbers: [126]
126,77 unequal: No Solution
Exploring Operation: 34*92=3128, Resulting Numbers: [3128]
3128,77 unequal: No Solution
Exploring Operation: 92-34=58, Resulting Numbers: [58]
58,77 unequal: No Solution
Moving to Node #0,4,3
Current State: 77:[25, 37], Operations: ['94-34=60', '60-23=37']
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[25, 37], Operations: ['94-23=71', '71-34=37']
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,77 unequal: No Solution
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Moving to Node #0,2,4
Current State: 77:[25, 105], Operations: ['94-23=71', '34+71=105']
Exploring Operation: 105-25=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 25+105=130, Resulting Numbers: [130]
130,77 unequal: No Solution
Exploring Operation: 25*105=2625, Resulting Numbers: [2625]
2625,77 unequal: No Solution
Moving to Node #0,0,3
Current State: 77:[11, 119], Operations: ['34-23=11', '25+94=119']
Exploring Operation: 11*119=1309, Resulting Numbers: [1309]
1309,77 unequal: No Solution
Exploring Operation: 11+119=130, Resulting Numbers: [130]
130,77 unequal: No Solution
Exploring Operation: 119-11=108, Resulting Numbers: [108]
108,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[34, 96], Operations: ['94-23=71', '25+71=96']
Exploring Operation: 34+96=130, Resulting Numbers: [130]
130,77 unequal: No Solution
Exploring Operation: 34*96=3264, Resulting Numbers: [3264]
3264,77 unequal: No Solution
Exploring Operation: 96-34=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[94, 36], Operations: ['34-23=11', '25+11=36']
Exploring Operation: 94-36=58, Resulting Numbers: [58]
58,77 unequal: No Solution
Exploring Operation: 94+36=130, Resulting Numbers: [130]
130,77 unequal: No Solution
Exploring Operation: 94*36=3384, Resulting Numbers: [3384]
3384,77 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
49,
41,
34,
48
] | 28 | [
"49-41=8",
"48/8=6",
"34-6=28"
] | Current State: 28:[49, 41, 34, 48], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [34, 48, 8]
Generated Node #2: [34, 48, 8] from Operation: 49-41=8
Current State: 28:[34, 48, 8], Operations: ['49-41=8']
Exploring Operation: 48/8=6, Resulting Numbers: [34, 6]
Generated Node #3: [34, 6] from Operation: 48/8=6
Current State: 28:[34, 6], Operations: ['49-41=8', '48/8=6']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[49, 41, 34, 48], Operations: []
Exploring Operation: 49-48=1, Resulting Numbers: [41, 34, 1]
Generated Node #0,0: 28:[41, 34, 1] Operation: 49-48=1
Exploring Operation: 48-41=7, Resulting Numbers: [49, 34, 7]
Generated Node #0,1: 28:[49, 34, 7] Operation: 48-41=7
Exploring Operation: 49-41=8, Resulting Numbers: [34, 48, 8]
Generated Node #0,2: 28:[34, 48, 8] Operation: 49-41=8
Moving to Node #0,0
Current State: 28:[41, 34, 1], Operations: ['49-48=1']
Exploring Operation: 34-1=33, Resulting Numbers: [41, 33]
Generated Node #0,0,0: 28:[41, 33] Operation: 34-1=33
Exploring Operation: 41-34=7, Resulting Numbers: [1, 7]
Generated Node #0,0,1: 28:[1, 7] Operation: 41-34=7
Exploring Operation: 41-1=40, Resulting Numbers: [34, 40]
Generated Node #0,0,2: 28:[34, 40] Operation: 41-1=40
Moving to Node #0,1
Current State: 28:[49, 34, 7], Operations: ['48-41=7']
Exploring Operation: 49-34=15, Resulting Numbers: [7, 15]
Generated Node #0,1,0: 28:[7, 15] Operation: 49-34=15
Exploring Operation: 49/7=7, Resulting Numbers: [34, 7]
Generated Node #0,1,1: 28:[34, 7] Operation: 49/7=7
Exploring Operation: 49-7=42, Resulting Numbers: [34, 42]
Generated Node #0,1,2: 28:[34, 42] Operation: 49-7=42
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[7, 15], Operations: ['48-41=7', '49-34=15']
Exploring Operation: 7+15=22, Resulting Numbers: [22]
22,28 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 7*15=105, Resulting Numbers: [105]
105,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[34, 7], Operations: ['48-41=7', '49/7=7']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,28 unequal: No Solution
Exploring Operation: 34+7=41, Resulting Numbers: [41]
41,28 unequal: No Solution
Exploring Operation: 34*7=238, Resulting Numbers: [238]
238,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 28:[34, 42], Operations: ['48-41=7', '49-7=42']
Exploring Operation: 34+42=76, Resulting Numbers: [76]
76,28 unequal: No Solution
Exploring Operation: 42-34=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 34*42=1428, Resulting Numbers: [1428]
1428,28 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: 28:[34, 48, 8], Operations: ['49-41=8']
Exploring Operation: 48-34=14, Resulting Numbers: [8, 14]
Generated Node #0,2,0: 28:[8, 14] Operation: 48-34=14
Exploring Operation: 48-8=40, Resulting Numbers: [34, 40]
Generated Node #0,2,1: 28:[34, 40] Operation: 48-8=40
Exploring Operation: 48/8=6, Resulting Numbers: [34, 6]
Generated Node #0,2,2: 28:[34, 6] Operation: 48/8=6
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 28:[8, 14], Operations: ['49-41=8', '48-34=14']
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,28 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,28 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 28:[34, 6], Operations: ['49-41=8', '48/8=6']
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,28 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[49, 41, 34, 48], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [34, 48, 8]
Generated Node #0,2: 28:[34, 48, 8] Operation: 49-41=8
Moving to Node #0,2
Current State: 28:[34, 48, 8], Operations: ['49-41=8']
Exploring Operation: 48/8=6, Resulting Numbers: [34, 6]
Generated Node #0,2,2: 28:[34, 6] Operation: 48/8=6
Moving to Node #0,2,2
Current State: 28:[34, 6], Operations: ['49-41=8', '48/8=6']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_3 | mult_heuristic |
[
48,
72,
39,
84
] | 41 | [
"84-48=36",
"72/36=2",
"39+2=41"
] | Current State: 41:[48, 72, 39, 84], Operations: []
Exploring Operation: 84-48=36, Resulting Numbers: [72, 39, 36]
Generated Node #2: [72, 39, 36] from Operation: 84-48=36
Current State: 41:[72, 39, 36], Operations: ['84-48=36']
Exploring Operation: 72/36=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 72/36=2
Current State: 41:[39, 2], Operations: ['84-48=36', '72/36=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[48, 72, 39, 84], Operations: []
Exploring Operation: 84-48=36, Resulting Numbers: [72, 39, 36]
Generated Node #0,0: 41:[72, 39, 36] Operation: 84-48=36
Exploring Operation: 72-39=33, Resulting Numbers: [48, 84, 33]
Generated Node #0,1: 41:[48, 84, 33] Operation: 72-39=33
Exploring Operation: 84-72=12, Resulting Numbers: [48, 39, 12]
Generated Node #0,2: 41:[48, 39, 12] Operation: 84-72=12
Exploring Operation: 84-39=45, Resulting Numbers: [48, 72, 45]
Generated Node #0,3: 41:[48, 72, 45] Operation: 84-39=45
Moving to Node #0,0
Current State: 41:[72, 39, 36], Operations: ['84-48=36']
Exploring Operation: 72-39=33, Resulting Numbers: [36, 33]
Generated Node #0,0,0: 41:[36, 33] Operation: 72-39=33
Exploring Operation: 72-36=36, Resulting Numbers: [39, 36]
Generated Node #0,0,1: 41:[39, 36] Operation: 72-36=36
Exploring Operation: 39+36=75, Resulting Numbers: [72, 75]
Generated Node #0,0,2: 41:[72, 75] Operation: 39+36=75
Exploring Operation: 72/36=2, Resulting Numbers: [39, 2]
Generated Node #0,0,3: 41:[39, 2] Operation: 72/36=2
Moving to Node #0,2
Current State: 41:[48, 39, 12], Operations: ['84-72=12']
Exploring Operation: 39-12=27, Resulting Numbers: [48, 27]
Generated Node #0,2,0: 41:[48, 27] Operation: 39-12=27
Exploring Operation: 48+12=60, Resulting Numbers: [39, 60]
Generated Node #0,2,1: 41:[39, 60] Operation: 48+12=60
Exploring Operation: 39+12=51, Resulting Numbers: [48, 51]
Generated Node #0,2,2: 41:[48, 51] Operation: 39+12=51
Exploring Operation: 48-12=36, Resulting Numbers: [39, 36]
Generated Node #0,2,3: 41:[39, 36] Operation: 48-12=36
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 41:[39, 36], Operations: ['84-72=12', '48-12=36']
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,41 unequal: No Solution
Exploring Operation: 39*36=1404, Resulting Numbers: [1404]
1404,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 41:[48, 51], Operations: ['84-72=12', '39+12=51']
Exploring Operation: 48+51=99, Resulting Numbers: [99]
99,41 unequal: No Solution
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 48*51=2448, Resulting Numbers: [2448]
2448,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 41:[48, 27], Operations: ['84-72=12', '39-12=27']
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,41 unequal: No Solution
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 41:[39, 60], Operations: ['84-72=12', '48+12=60']
Exploring Operation: 60-39=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Exploring Operation: 39*60=2340, Resulting Numbers: [2340]
2340,41 unequal: No Solution
Exploring Operation: 39+60=99, Resulting Numbers: [99]
99,41 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: 41:[48, 72, 45], Operations: ['84-39=45']
Exploring Operation: 48-45=3, Resulting Numbers: [72, 3]
Generated Node #0,3,0: 41:[72, 3] Operation: 48-45=3
Exploring Operation: 72-48=24, Resulting Numbers: [45, 24]
Generated Node #0,3,1: 41:[45, 24] Operation: 72-48=24
Exploring Operation: 48+72=120, Resulting Numbers: [45, 120]
Generated Node #0,3,2: 41:[45, 120] Operation: 48+72=120
Exploring Operation: 72-45=27, Resulting Numbers: [48, 27]
Generated Node #0,3,3: 41:[48, 27] Operation: 72-45=27
Moving to Node #0,1
Current State: 41:[48, 84, 33], Operations: ['72-39=33']
Exploring Operation: 48-33=15, Resulting Numbers: [84, 15]
Generated Node #0,1,0: 41:[84, 15] Operation: 48-33=15
Exploring Operation: 84-33=51, Resulting Numbers: [48, 51]
Generated Node #0,1,1: 41:[48, 51] Operation: 84-33=51
Exploring Operation: 84-48=36, Resulting Numbers: [33, 36]
Generated Node #0,1,2: 41:[33, 36] Operation: 84-48=36
Exploring Operation: 48+33=81, Resulting Numbers: [84, 81]
Generated Node #0,1,3: 41:[84, 81] Operation: 48+33=81
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[33, 36], Operations: ['72-39=33', '84-48=36']
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 33*36=1188, Resulting Numbers: [1188]
1188,41 unequal: No Solution
Exploring Operation: 33+36=69, Resulting Numbers: [69]
69,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[48, 51], Operations: ['72-39=33', '84-33=51']
Exploring Operation: 48+51=99, Resulting Numbers: [99]
99,41 unequal: No Solution
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 48*51=2448, Resulting Numbers: [2448]
2448,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[84, 15], Operations: ['72-39=33', '48-33=15']
Exploring Operation: 84*15=1260, Resulting Numbers: [1260]
1260,41 unequal: No Solution
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,41 unequal: No Solution
Exploring Operation: 84+15=99, Resulting Numbers: [99]
99,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 41:[84, 81], Operations: ['72-39=33', '48+33=81']
Exploring Operation: 84*81=6804, Resulting Numbers: [6804]
6804,41 unequal: No Solution
Exploring Operation: 84+81=165, Resulting Numbers: [165]
165,41 unequal: No Solution
Exploring Operation: 84-81=3, Resulting Numbers: [3]
3,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 41:[39, 36], Operations: ['84-48=36', '72-36=36']
Exploring Operation: 39*36=1404, Resulting Numbers: [1404]
1404,41 unequal: No Solution
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,41 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[36, 33], Operations: ['84-48=36', '72-39=33']
Exploring Operation: 36*33=1188, Resulting Numbers: [1188]
1188,41 unequal: No Solution
Exploring Operation: 36+33=69, Resulting Numbers: [69]
69,41 unequal: No Solution
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[48, 27], Operations: ['84-39=45', '72-45=27']
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,41 unequal: No Solution
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,41 unequal: No Solution
Moving to Node #0,3,1
Current State: 41:[45, 24], Operations: ['84-39=45', '72-48=24']
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,41 unequal: No Solution
Exploring Operation: 45*24=1080, Resulting Numbers: [1080]
1080,41 unequal: No Solution
Moving to Node #0,0,3
Current State: 41:[39, 2], Operations: ['84-48=36', '72/36=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[48, 72, 39, 84], Operations: []
Exploring Operation: 84-48=36, Resulting Numbers: [72, 39, 36]
Generated Node #0,0: 41:[72, 39, 36] Operation: 84-48=36
Moving to Node #0,0
Current State: 41:[72, 39, 36], Operations: ['84-48=36']
Exploring Operation: 72/36=2, Resulting Numbers: [39, 2]
Generated Node #0,0,3: 41:[39, 2] Operation: 72/36=2
Moving to Node #0,0,3
Current State: 41:[39, 2], Operations: ['84-48=36', '72/36=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 0.947049 | hs_4 | sum_heuristic |
[
40,
57,
52,
55
] | 29 | [
"57-52=5",
"55/5=11",
"40-11=29"
] | Current State: 29:[40, 57, 52, 55], Operations: []
Exploring Operation: 57-52=5, Resulting Numbers: [40, 55, 5]
Generated Node #2: [40, 55, 5] from Operation: 57-52=5
Current State: 29:[40, 55, 5], Operations: ['57-52=5']
Exploring Operation: 55/5=11, Resulting Numbers: [40, 11]
Generated Node #3: [40, 11] from Operation: 55/5=11
Current State: 29:[40, 11], Operations: ['57-52=5', '55/5=11']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[40, 57, 52, 55], Operations: []
Exploring Operation: 57-40=17, Resulting Numbers: [52, 55, 17]
Generated Node #0,0: 29:[52, 55, 17] Operation: 57-40=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[52, 55, 17], Operations: ['57-40=17']
Exploring Operation: 52-17=35, Resulting Numbers: [55, 35]
Generated Node #0,0,0: 29:[55, 35] Operation: 52-17=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 29:[55, 35], Operations: ['57-40=17', '52-17=35']
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
90,
96,
7,
25
] | 24 | [
"96-90=6",
"25-7=18",
"6+18=24"
] | Current State: 24:[90, 96, 7, 25], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [7, 25, 6]
Generated Node #2: [7, 25, 6] from Operation: 96-90=6
Current State: 24:[7, 25, 6], Operations: ['96-90=6']
Exploring Operation: 25-7=18, Resulting Numbers: [6, 18]
Generated Node #3: [6, 18] from Operation: 25-7=18
Current State: 24:[6, 18], Operations: ['96-90=6', '25-7=18']
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[90, 96, 7, 25], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [7, 25, 6]
Generated Node #0,0: 24:[7, 25, 6] Operation: 96-90=6
Exploring Operation: 90-25=65, Resulting Numbers: [96, 7, 65]
Generated Node #0,1: 24:[96, 7, 65] Operation: 90-25=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[7, 25, 6], Operations: ['96-90=6']
Exploring Operation: 7-6=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 24:[25, 1] Operation: 7-6=1
Exploring Operation: 7+6=13, Resulting Numbers: [25, 13]
Generated Node #0,0,1: 24:[25, 13] Operation: 7+6=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 24:[25, 1], Operations: ['96-90=6', '7-6=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[90, 96, 7, 25], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [7, 25, 6]
Generated Node #0,0: 24:[7, 25, 6] Operation: 96-90=6
Moving to Node #0,0
Current State: 24:[7, 25, 6], Operations: ['96-90=6']
Exploring Operation: 7-6=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 24:[25, 1] Operation: 7-6=1
Moving to Node #0,0,0
Current State: 24:[25, 1], Operations: ['96-90=6', '7-6=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
54,
47,
10,
26
] | 96 | [
"54-47=7",
"10*7=70",
"26+70=96"
] | Current State: 96:[54, 47, 10, 26], Operations: []
Exploring Operation: 54-47=7, Resulting Numbers: [10, 26, 7]
Generated Node #2: [10, 26, 7] from Operation: 54-47=7
Current State: 96:[10, 26, 7], Operations: ['54-47=7']
Exploring Operation: 10*7=70, Resulting Numbers: [26, 70]
Generated Node #3: [26, 70] from Operation: 10*7=70
Current State: 96:[26, 70], Operations: ['54-47=7', '10*7=70']
Exploring Operation: 26+70=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[54, 47, 10, 26], Operations: []
Exploring Operation: 54-26=28, Resulting Numbers: [47, 10, 28]
Generated Node #0,0: 96:[47, 10, 28] Operation: 54-26=28
Exploring Operation: 54-47=7, Resulting Numbers: [10, 26, 7]
Generated Node #0,1: 96:[10, 26, 7] Operation: 54-47=7
Exploring Operation: 54-10=44, Resulting Numbers: [47, 26, 44]
Generated Node #0,2: 96:[47, 26, 44] Operation: 54-10=44
Exploring Operation: 26-10=16, Resulting Numbers: [54, 47, 16]
Generated Node #0,3: 96:[54, 47, 16] Operation: 26-10=16
Moving to Node #0,1
Current State: 96:[10, 26, 7], Operations: ['54-47=7']
Exploring Operation: 26+7=33, Resulting Numbers: [10, 33]
Generated Node #0,1,0: 96:[10, 33] Operation: 26+7=33
Exploring Operation: 26-10=16, Resulting Numbers: [7, 16]
Generated Node #0,1,1: 96:[7, 16] Operation: 26-10=16
Exploring Operation: 10-7=3, Resulting Numbers: [26, 3]
Generated Node #0,1,2: 96:[26, 3] Operation: 10-7=3
Exploring Operation: 10+7=17, Resulting Numbers: [26, 17]
Generated Node #0,1,3: 96:[26, 17] Operation: 10+7=17
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[7, 16], Operations: ['54-47=7', '26-10=16']
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,96 unequal: No Solution
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 96:[26, 3], Operations: ['54-47=7', '10-7=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,96 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[10, 33], Operations: ['54-47=7', '26+7=33']
Exploring Operation: 10*33=330, Resulting Numbers: [330]
330,96 unequal: No Solution
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 96:[26, 17], Operations: ['54-47=7', '10+7=17']
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,96 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,96 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: 96:[47, 26, 44], Operations: ['54-10=44']
Exploring Operation: 47-44=3, Resulting Numbers: [26, 3]
Generated Node #0,2,0: 96:[26, 3] Operation: 47-44=3
Exploring Operation: 47-26=21, Resulting Numbers: [44, 21]
Generated Node #0,2,1: 96:[44, 21] Operation: 47-26=21
Exploring Operation: 44-26=18, Resulting Numbers: [47, 18]
Generated Node #0,2,2: 96:[47, 18] Operation: 44-26=18
Exploring Operation: 47+44=91, Resulting Numbers: [26, 91]
Generated Node #0,2,3: 96:[26, 91] Operation: 47+44=91
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 96:[26, 3], Operations: ['54-10=44', '47-44=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,96 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,96 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:[47, 18], Operations: ['54-10=44', '44-26=18']
Exploring Operation: 47*18=846, Resulting Numbers: [846]
846,96 unequal: No Solution
Exploring Operation: 47+18=65, Resulting Numbers: [65]
65,96 unequal: No Solution
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 96:[44, 21], Operations: ['54-10=44', '47-26=21']
Exploring Operation: 44+21=65, Resulting Numbers: [65]
65,96 unequal: No Solution
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 44*21=924, Resulting Numbers: [924]
924,96 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:[26, 91], Operations: ['54-10=44', '47+44=91']
Exploring Operation: 26+91=117, Resulting Numbers: [117]
117,96 unequal: No Solution
Exploring Operation: 91-26=65, Resulting Numbers: [65]
65,96 unequal: No Solution
Exploring Operation: 26*91=2366, Resulting Numbers: [2366]
2366,96 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, 10, 28], Operations: ['54-26=28']
Exploring Operation: 47-28=19, Resulting Numbers: [10, 19]
Generated Node #0,0,0: 96:[10, 19] Operation: 47-28=19
Exploring Operation: 10+28=38, Resulting Numbers: [47, 38]
Generated Node #0,0,1: 96:[47, 38] Operation: 10+28=38
Exploring Operation: 28-10=18, Resulting Numbers: [47, 18]
Generated Node #0,0,2: 96:[47, 18] Operation: 28-10=18
Exploring Operation: 47-10=37, Resulting Numbers: [28, 37]
Generated Node #0,0,3: 96:[28, 37] Operation: 47-10=37
Moving to Node #0,3
Current State: 96:[54, 47, 16], Operations: ['26-10=16']
Exploring Operation: 54+47=101, Resulting Numbers: [16, 101]
Generated Node #0,3,0: 96:[16, 101] Operation: 54+47=101
Exploring Operation: 54-16=38, Resulting Numbers: [47, 38]
Generated Node #0,3,1: 96:[47, 38] Operation: 54-16=38
Exploring Operation: 47-16=31, Resulting Numbers: [54, 31]
Generated Node #0,3,2: 96:[54, 31] Operation: 47-16=31
Exploring Operation: 54-47=7, Resulting Numbers: [16, 7]
Generated Node #0,3,3: 96:[16, 7] Operation: 54-47=7
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 96:[16, 7], Operations: ['26-10=16', '54-47=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,96 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 96:[16, 101], Operations: ['26-10=16', '54+47=101']
Exploring Operation: 101-16=85, Resulting Numbers: [85]
85,96 unequal: No Solution
Exploring Operation: 16+101=117, Resulting Numbers: [117]
117,96 unequal: No Solution
Exploring Operation: 16*101=1616, Resulting Numbers: [1616]
1616,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 96:[47, 38], Operations: ['26-10=16', '54-16=38']
Exploring Operation: 47+38=85, Resulting Numbers: [85]
85,96 unequal: No Solution
Exploring Operation: 47-38=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 47*38=1786, Resulting Numbers: [1786]
1786,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 96:[54, 31], Operations: ['26-10=16', '47-16=31']
Exploring Operation: 54*31=1674, Resulting Numbers: [1674]
1674,96 unequal: No Solution
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 96:[47, 18], Operations: ['54-26=28', '28-10=18']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 47*18=846, Resulting Numbers: [846]
846,96 unequal: No Solution
Exploring Operation: 47+18=65, Resulting Numbers: [65]
65,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[10, 19], Operations: ['54-26=28', '47-28=19']
Exploring Operation: 10*19=190, Resulting Numbers: [190]
190,96 unequal: No Solution
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[47, 38], Operations: ['54-26=28', '10+28=38']
Exploring Operation: 47*38=1786, Resulting Numbers: [1786]
1786,96 unequal: No Solution
Exploring Operation: 47-38=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 47+38=85, Resulting Numbers: [85]
85,96 unequal: No Solution
Moving to Node #0,0,3
Current State: 96:[28, 37], Operations: ['54-26=28', '47-10=37']
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,96 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 28*37=1036, Resulting Numbers: [1036]
1036,96 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
34,
88,
31,
70
] | 83 | [
"34+88=122",
"70-31=39",
"122-39=83"
] | Current State: 83:[34, 88, 31, 70], Operations: []
Exploring Operation: 34+88=122, Resulting Numbers: [31, 70, 122]
Generated Node #2: [31, 70, 122] from Operation: 34+88=122
Current State: 83:[31, 70, 122], Operations: ['34+88=122']
Exploring Operation: 70-31=39, Resulting Numbers: [122, 39]
Generated Node #3: [122, 39] from Operation: 70-31=39
Current State: 83:[122, 39], Operations: ['34+88=122', '70-31=39']
Exploring Operation: 122-39=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[34, 88, 31, 70], Operations: []
Exploring Operation: 34+31=65, Resulting Numbers: [88, 70, 65]
Generated Node #0,0: 83:[88, 70, 65] Operation: 34+31=65
Exploring Operation: 34+70=104, Resulting Numbers: [88, 31, 104]
Generated Node #0,1: 83:[88, 31, 104] Operation: 34+70=104
Exploring Operation: 31+70=101, Resulting Numbers: [34, 88, 101]
Generated Node #0,2: 83:[34, 88, 101] Operation: 31+70=101
Exploring Operation: 88-31=57, Resulting Numbers: [34, 70, 57]
Generated Node #0,3: 83:[34, 70, 57] Operation: 88-31=57
Moving to Node #0,0
Current State: 83:[88, 70, 65], Operations: ['34+31=65']
Exploring Operation: 70+65=135, Resulting Numbers: [88, 135]
Generated Node #0,0,0: 83:[88, 135] Operation: 70+65=135
Exploring Operation: 88-65=23, Resulting Numbers: [70, 23]
Generated Node #0,0,1: 83:[70, 23] Operation: 88-65=23
Exploring Operation: 88-70=18, Resulting Numbers: [65, 18]
Generated Node #0,0,2: 83:[65, 18] Operation: 88-70=18
Exploring Operation: 88+65=153, Resulting Numbers: [70, 153]
Generated Node #0,0,3: 83:[70, 153] Operation: 88+65=153
Moving to Node #0,2
Current State: 83:[34, 88, 101], Operations: ['31+70=101']
Exploring Operation: 88-34=54, Resulting Numbers: [101, 54]
Generated Node #0,2,0: 83:[101, 54] Operation: 88-34=54
Exploring Operation: 101-34=67, Resulting Numbers: [88, 67]
Generated Node #0,2,1: 83:[88, 67] Operation: 101-34=67
Exploring Operation: 34+101=135, Resulting Numbers: [88, 135]
Generated Node #0,2,2: 83:[88, 135] Operation: 34+101=135
Exploring Operation: 34+88=122, Resulting Numbers: [101, 122]
Generated Node #0,2,3: 83:[101, 122] Operation: 34+88=122
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 83:[88, 67], Operations: ['31+70=101', '101-34=67']
Exploring Operation: 88*67=5896, Resulting Numbers: [5896]
5896,83 unequal: No Solution
Exploring Operation: 88-67=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Exploring Operation: 88+67=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 #0,2,0
Current State: 83:[101, 54], Operations: ['31+70=101', '88-34=54']
Exploring Operation: 101+54=155, Resulting Numbers: [155]
155,83 unequal: No Solution
Exploring Operation: 101*54=5454, Resulting Numbers: [5454]
5454,83 unequal: No Solution
Exploring Operation: 101-54=47, Resulting Numbers: [47]
47,83 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:[88, 135], Operations: ['31+70=101', '34+101=135']
Exploring Operation: 88+135=223, Resulting Numbers: [223]
223,83 unequal: No Solution
Exploring Operation: 135-88=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 88*135=11880, Resulting Numbers: [11880]
11880,83 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 #0,2,3
Current State: 83:[101, 122], Operations: ['31+70=101', '34+88=122']
Exploring Operation: 122-101=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Exploring Operation: 101+122=223, Resulting Numbers: [223]
223,83 unequal: No Solution
Exploring Operation: 101*122=12322, Resulting Numbers: [12322]
12322,83 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: 83:[88, 31, 104], Operations: ['34+70=104']
Exploring Operation: 88-31=57, Resulting Numbers: [104, 57]
Generated Node #0,1,0: 83:[104, 57] Operation: 88-31=57
Exploring Operation: 104-31=73, Resulting Numbers: [88, 73]
Generated Node #0,1,1: 83:[88, 73] Operation: 104-31=73
Exploring Operation: 31+104=135, Resulting Numbers: [88, 135]
Generated Node #0,1,2: 83:[88, 135] Operation: 31+104=135
Exploring Operation: 88+31=119, Resulting Numbers: [104, 119]
Generated Node #0,1,3: 83:[104, 119] Operation: 88+31=119
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[88, 73], Operations: ['34+70=104', '104-31=73']
Exploring Operation: 88+73=161, Resulting Numbers: [161]
161,83 unequal: No Solution
Exploring Operation: 88*73=6424, Resulting Numbers: [6424]
6424,83 unequal: No Solution
Exploring Operation: 88-73=15, Resulting Numbers: [15]
15,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[104, 57], Operations: ['34+70=104', '88-31=57']
Exploring Operation: 104-57=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 104*57=5928, Resulting Numbers: [5928]
5928,83 unequal: No Solution
Exploring Operation: 104+57=161, Resulting Numbers: [161]
161,83 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:[88, 135], Operations: ['34+70=104', '31+104=135']
Exploring Operation: 88+135=223, Resulting Numbers: [223]
223,83 unequal: No Solution
Exploring Operation: 88*135=11880, Resulting Numbers: [11880]
11880,83 unequal: No Solution
Exploring Operation: 135-88=47, Resulting Numbers: [47]
47,83 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 #0,1,3
Current State: 83:[104, 119], Operations: ['34+70=104', '88+31=119']
Exploring Operation: 119-104=15, Resulting Numbers: [15]
15,83 unequal: No Solution
Exploring Operation: 104*119=12376, Resulting Numbers: [12376]
12376,83 unequal: No Solution
Exploring Operation: 104+119=223, Resulting Numbers: [223]
223,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 83:[34, 70, 57], Operations: ['88-31=57']
Exploring Operation: 57-34=23, Resulting Numbers: [70, 23]
Generated Node #0,3,0: 83:[70, 23] Operation: 57-34=23
Exploring Operation: 34+57=91, Resulting Numbers: [70, 91]
Generated Node #0,3,1: 83:[70, 91] Operation: 34+57=91
Exploring Operation: 34+70=104, Resulting Numbers: [57, 104]
Generated Node #0,3,2: 83:[57, 104] Operation: 34+70=104
Exploring Operation: 70-34=36, Resulting Numbers: [57, 36]
Generated Node #0,3,3: 83:[57, 36] Operation: 70-34=36
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 83:[70, 91], Operations: ['88-31=57', '34+57=91']
Exploring Operation: 70+91=161, Resulting Numbers: [161]
161,83 unequal: No Solution
Exploring Operation: 70*91=6370, Resulting Numbers: [6370]
6370,83 unequal: No Solution
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,83 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 #0,3,2
Current State: 83:[57, 104], Operations: ['88-31=57', '34+70=104']
Exploring Operation: 57*104=5928, Resulting Numbers: [5928]
5928,83 unequal: No Solution
Exploring Operation: 104-57=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 57+104=161, Resulting Numbers: [161]
161,83 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 #0,3,0
Current State: 83:[70, 23], Operations: ['88-31=57', '57-34=23']
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,83 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,83 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 #0,3,3
Current State: 83:[57, 36], Operations: ['88-31=57', '70-34=36']
Exploring Operation: 57*36=2052, Resulting Numbers: [2052]
2052,83 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Exploring Operation: 57+36=93, Resulting Numbers: [93]
93,83 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: 83:[88, 135], Operations: ['34+31=65', '70+65=135']
Exploring Operation: 88+135=223, Resulting Numbers: [223]
223,83 unequal: No Solution
Exploring Operation: 135-88=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 88*135=11880, Resulting Numbers: [11880]
11880,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[70, 23], Operations: ['34+31=65', '88-65=23']
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,83 unequal: No Solution
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[70, 153], Operations: ['34+31=65', '88+65=153']
Exploring Operation: 70*153=10710, Resulting Numbers: [10710]
10710,83 unequal: No Solution
Exploring Operation: 70+153=223, Resulting Numbers: [223]
223,83 unequal: No Solution
Exploring Operation: 153-70=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[34, 88, 31, 70], Operations: []
Exploring Operation: 34+31=65, Resulting Numbers: [88, 70, 65]
Generated Node #0,0: 83:[88, 70, 65] Operation: 34+31=65
Moving to Node #0,0
Current State: 83:[88, 70, 65], Operations: ['34+31=65']
Exploring Operation: 88+65=153, Resulting Numbers: [70, 153]
Generated Node #0,0,3: 83:[70, 153] Operation: 88+65=153
Moving to Node #0,0,3
Current State: 83:[70, 153], Operations: ['34+31=65', '88+65=153']
Exploring Operation: 153-70=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 0.940104 | hs_4 | sum_heuristic |
[
5,
10,
82,
98
] | 12 | [
"5+10=15",
"82+98=180",
"180/15=12"
] | Current State: 12:[5, 10, 82, 98], Operations: []
Exploring Operation: 5+10=15, Resulting Numbers: [82, 98, 15]
Generated Node #2: [82, 98, 15] from Operation: 5+10=15
Current State: 12:[82, 98, 15], Operations: ['5+10=15']
Exploring Operation: 82+98=180, Resulting Numbers: [15, 180]
Generated Node #3: [15, 180] from Operation: 82+98=180
Current State: 12:[15, 180], Operations: ['5+10=15', '82+98=180']
Exploring Operation: 180/15=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[5, 10, 82, 98], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [5, 10, 16]
Generated Node #0,0: 12:[5, 10, 16] Operation: 98-82=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[5, 10, 16], Operations: ['98-82=16']
Exploring Operation: 16-10=6, Resulting Numbers: [5, 6]
Generated Node #0,0,0: 12:[5, 6] Operation: 16-10=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[5, 6], Operations: ['98-82=16', '16-10=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,12 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 |
[
20,
1,
38,
41
] | 100 | [
"20+1=21",
"38+41=79",
"21+79=100"
] | Current State: 100:[20, 1, 38, 41], Operations: []
Exploring Operation: 20+1=21, Resulting Numbers: [38, 41, 21]
Generated Node #2: [38, 41, 21] from Operation: 20+1=21
Current State: 100:[38, 41, 21], Operations: ['20+1=21']
Exploring Operation: 38+41=79, Resulting Numbers: [21, 79]
Generated Node #3: [21, 79] from Operation: 38+41=79
Current State: 100:[21, 79], Operations: ['20+1=21', '38+41=79']
Exploring Operation: 21+79=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[20, 1, 38, 41], Operations: []
Exploring Operation: 38-20=18, Resulting Numbers: [1, 41, 18]
Generated Node #0,0: 100:[1, 41, 18] Operation: 38-20=18
Exploring Operation: 41-38=3, Resulting Numbers: [20, 1, 3]
Generated Node #0,1: 100:[20, 1, 3] Operation: 41-38=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[20, 1, 3], Operations: ['41-38=3']
Exploring Operation: 3-1=2, Resulting Numbers: [20, 2]
Generated Node #0,1,0: 100:[20, 2] Operation: 3-1=2
Exploring Operation: 1+3=4, Resulting Numbers: [20, 4]
Generated Node #0,1,1: 100:[20, 4] Operation: 1+3=4
Moving to Node #0,1,0
Current State: 100:[20, 2], Operations: ['41-38=3', '3-1=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,100 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[20, 4], Operations: ['41-38=3', '1+3=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,100 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[1, 41, 18], Operations: ['38-20=18']
Exploring Operation: 1+41=42, Resulting Numbers: [18, 42]
Generated Node #0,0,0: 100:[18, 42] Operation: 1+41=42
Exploring Operation: 41-18=23, Resulting Numbers: [1, 23]
Generated Node #0,0,1: 100:[1, 23] Operation: 41-18=23
Moving to Node #0,0,1
Current State: 100:[1, 23], Operations: ['38-20=18', '41-18=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,100 unequal: No Solution
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[18, 42], Operations: ['38-20=18', '1+41=42']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,100 unequal: No Solution
Exploring Operation: 18+42=60, Resulting Numbers: [60]
60,100 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 |
[
85,
16,
92,
81
] | 91 | [
"92-81=11",
"16*11=176",
"176-85=91"
] | Current State: 91:[85, 16, 92, 81], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [85, 16, 11]
Generated Node #2: [85, 16, 11] from Operation: 92-81=11
Current State: 91:[85, 16, 11], Operations: ['92-81=11']
Exploring Operation: 16*11=176, Resulting Numbers: [85, 176]
Generated Node #3: [85, 176] from Operation: 16*11=176
Current State: 91:[85, 176], Operations: ['92-81=11', '16*11=176']
Exploring Operation: 176-85=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[85, 16, 92, 81], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [85, 16, 11]
Generated Node #0,0: 91:[85, 16, 11] Operation: 92-81=11
Exploring Operation: 85-81=4, Resulting Numbers: [16, 92, 4]
Generated Node #0,1: 91:[16, 92, 4] Operation: 85-81=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[16, 92, 4], Operations: ['85-81=4']
Exploring Operation: 16/4=4, Resulting Numbers: [92, 4]
Generated Node #0,1,0: 91:[92, 4] Operation: 16/4=4
Exploring Operation: 16-4=12, Resulting Numbers: [92, 12]
Generated Node #0,1,1: 91:[92, 12] Operation: 16-4=12
Moving to Node #0,1,1
Current State: 91:[92, 12], Operations: ['85-81=4', '16-4=12']
Exploring Operation: 92+12=104, Resulting Numbers: [104]
104,91 unequal: No Solution
Exploring Operation: 92-12=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[92, 4], Operations: ['85-81=4', '16/4=4']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,91 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
Current State: 91:[85, 16, 11], Operations: ['92-81=11']
Exploring Operation: 85+11=96, Resulting Numbers: [16, 96]
Generated Node #0,0,0: 91:[16, 96] Operation: 85+11=96
Exploring Operation: 16-11=5, Resulting Numbers: [85, 5]
Generated Node #0,0,1: 91:[85, 5] Operation: 16-11=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[16, 96], Operations: ['92-81=11', '85+11=96']
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Exploring Operation: 96/16=6, Resulting Numbers: [6]
6,91 unequal: No Solution
No 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: 91:[85, 5], Operations: ['92-81=11', '16-11=5']
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
41,
77,
49,
2
] | 87 | [
"77-41=36",
"49+2=51",
"36+51=87"
] | Current State: 87:[41, 77, 49, 2], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [49, 2, 36]
Generated Node #2: [49, 2, 36] from Operation: 77-41=36
Current State: 87:[49, 2, 36], Operations: ['77-41=36']
Exploring Operation: 49+2=51, Resulting Numbers: [36, 51]
Generated Node #3: [36, 51] from Operation: 49+2=51
Current State: 87:[36, 51], Operations: ['77-41=36', '49+2=51']
Exploring Operation: 36+51=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[41, 77, 49, 2], Operations: []
Exploring Operation: 77-49=28, Resulting Numbers: [41, 2, 28]
Generated Node #0,0: 87:[41, 2, 28] Operation: 77-49=28
Exploring Operation: 77-41=36, Resulting Numbers: [49, 2, 36]
Generated Node #0,1: 87:[49, 2, 36] Operation: 77-41=36
Exploring Operation: 41+49=90, Resulting Numbers: [77, 2, 90]
Generated Node #0,2: 87:[77, 2, 90] Operation: 41+49=90
Exploring Operation: 49-41=8, Resulting Numbers: [77, 2, 8]
Generated Node #0,3: 87:[77, 2, 8] Operation: 49-41=8
Moving to Node #0,0
Current State: 87:[41, 2, 28], Operations: ['77-49=28']
Exploring Operation: 41*2=82, Resulting Numbers: [28, 82]
Generated Node #0,0,0: 87:[28, 82] Operation: 41*2=82
Exploring Operation: 41-28=13, Resulting Numbers: [2, 13]
Generated Node #0,0,1: 87:[2, 13] Operation: 41-28=13
Exploring Operation: 41-2=39, Resulting Numbers: [28, 39]
Generated Node #0,0,2: 87:[28, 39] Operation: 41-2=39
Exploring Operation: 2+28=30, Resulting Numbers: [41, 30]
Generated Node #0,0,3: 87:[41, 30] Operation: 2+28=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[28, 82], Operations: ['77-49=28', '41*2=82']
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,87 unequal: No Solution
Exploring Operation: 28*82=2296, Resulting Numbers: [2296]
2296,87 unequal: No Solution
Exploring Operation: 28+82=110, Resulting Numbers: [110]
110,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 87:[2, 13], Operations: ['77-49=28', '41-28=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,87 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,87 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 87:[28, 39], Operations: ['77-49=28', '41-2=39']
Exploring Operation: 28+39=67, Resulting Numbers: [67]
67,87 unequal: No Solution
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,87 unequal: No Solution
Exploring Operation: 28*39=1092, Resulting Numbers: [1092]
1092,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 87:[41, 30], Operations: ['77-49=28', '2+28=30']
Exploring Operation: 41+30=71, Resulting Numbers: [71]
71,87 unequal: No Solution
Exploring Operation: 41*30=1230, Resulting Numbers: [1230]
1230,87 unequal: No Solution
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,87 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: 87:[77, 2, 90], Operations: ['41+49=90']
Exploring Operation: 90-77=13, Resulting Numbers: [2, 13]
Generated Node #0,2,0: 87:[2, 13] Operation: 90-77=13
Exploring Operation: 77+2=79, Resulting Numbers: [90, 79]
Generated Node #0,2,1: 87:[90, 79] Operation: 77+2=79
Exploring Operation: 77-2=75, Resulting Numbers: [90, 75]
Generated Node #0,2,2: 87:[90, 75] Operation: 77-2=75
Exploring Operation: 90-2=88, Resulting Numbers: [77, 88]
Generated Node #0,2,3: 87:[77, 88] Operation: 90-2=88
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 87:[2, 13], Operations: ['41+49=90', '90-77=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,87 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,87 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 87:[90, 79], Operations: ['41+49=90', '77+2=79']
Exploring Operation: 90+79=169, Resulting Numbers: [169]
169,87 unequal: No Solution
Exploring Operation: 90*79=7110, Resulting Numbers: [7110]
7110,87 unequal: No Solution
Exploring Operation: 90-79=11, Resulting Numbers: [11]
11,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 87:[77, 88], Operations: ['41+49=90', '90-2=88']
Exploring Operation: 77+88=165, Resulting Numbers: [165]
165,87 unequal: No Solution
Exploring Operation: 77*88=6776, Resulting Numbers: [6776]
6776,87 unequal: No Solution
Exploring Operation: 88-77=11, Resulting Numbers: [11]
11,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 87:[90, 75], Operations: ['41+49=90', '77-2=75']
Exploring Operation: 90+75=165, Resulting Numbers: [165]
165,87 unequal: No Solution
Exploring Operation: 90-75=15, Resulting Numbers: [15]
15,87 unequal: No Solution
Exploring Operation: 90*75=6750, Resulting Numbers: [6750]
6750,87 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: 87:[77, 2, 8], Operations: ['49-41=8']
Exploring Operation: 8-2=6, Resulting Numbers: [77, 6]
Generated Node #0,3,0: 87:[77, 6] Operation: 8-2=6
Exploring Operation: 77+8=85, Resulting Numbers: [2, 85]
Generated Node #0,3,1: 87:[2, 85] Operation: 77+8=85
Exploring Operation: 77+2=79, Resulting Numbers: [8, 79]
Generated Node #0,3,2: 87:[8, 79] Operation: 77+2=79
Exploring Operation: 8/2=4, Resulting Numbers: [77, 4]
Generated Node #0,3,3: 87:[77, 4] Operation: 8/2=4
Moving to Node #0,1
Current State: 87:[49, 2, 36], Operations: ['77-41=36']
Exploring Operation: 49-36=13, Resulting Numbers: [2, 13]
Generated Node #0,1,0: 87:[2, 13] Operation: 49-36=13
Exploring Operation: 49+36=85, Resulting Numbers: [2, 85]
Generated Node #0,1,1: 87:[2, 85] Operation: 49+36=85
Exploring Operation: 49-2=47, Resulting Numbers: [36, 47]
Generated Node #0,1,2: 87:[36, 47] Operation: 49-2=47
Exploring Operation: 49*2=98, Resulting Numbers: [36, 98]
Generated Node #0,1,3: 87:[36, 98] Operation: 49*2=98
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[2, 85], Operations: ['77-41=36', '49+36=85']
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[41, 77, 49, 2], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [49, 2, 36]
Generated Node #0,1: 87:[49, 2, 36] Operation: 77-41=36
Moving to Node #0,1
Current State: 87:[49, 2, 36], Operations: ['77-41=36']
Exploring Operation: 49+36=85, Resulting Numbers: [2, 85]
Generated Node #0,1,1: 87:[2, 85] Operation: 49+36=85
Moving to Node #0,1,1
Current State: 87:[2, 85], Operations: ['77-41=36', '49+36=85']
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465 | hs_4 | sum_heuristic |
[
53,
28,
76,
75
] | 81 | [
"53+28=81",
"76-75=1",
"81*1=81"
] | Current State: 81:[53, 28, 76, 75], Operations: []
Exploring Operation: 53+28=81, Resulting Numbers: [76, 75, 81]
Generated Node #2: [76, 75, 81] from Operation: 53+28=81
Current State: 81:[76, 75, 81], Operations: ['53+28=81']
Exploring Operation: 76-75=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 76-75=1
Current State: 81:[81, 1], Operations: ['53+28=81', '76-75=1']
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[53, 28, 76, 75], Operations: []
Exploring Operation: 76-53=23, Resulting Numbers: [28, 75, 23]
Generated Node #0,0: 81:[28, 75, 23] Operation: 76-53=23
Exploring Operation: 53+28=81, Resulting Numbers: [76, 75, 81]
Generated Node #0,1: 81:[76, 75, 81] Operation: 53+28=81
Exploring Operation: 75-53=22, Resulting Numbers: [28, 76, 22]
Generated Node #0,2: 81:[28, 76, 22] Operation: 75-53=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[28, 75, 23], Operations: ['76-53=23']
Exploring Operation: 75+23=98, Resulting Numbers: [28, 98]
Generated Node #0,0,0: 81:[28, 98] Operation: 75+23=98
Exploring Operation: 75-28=47, Resulting Numbers: [23, 47]
Generated Node #0,0,1: 81:[23, 47] Operation: 75-28=47
Exploring Operation: 28-23=5, Resulting Numbers: [75, 5]
Generated Node #0,0,2: 81:[75, 5] Operation: 28-23=5
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 81:[75, 5], Operations: ['76-53=23', '28-23=5']
Exploring Operation: 75+5=80, Resulting Numbers: [80]
80,81 unequal: No Solution
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,81 unequal: No Solution
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[28, 98], Operations: ['76-53=23', '75+23=98']
Exploring Operation: 98-28=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 28+98=126, Resulting Numbers: [126]
126,81 unequal: No Solution
Exploring Operation: 28*98=2744, Resulting Numbers: [2744]
2744,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[23, 47], Operations: ['76-53=23', '75-28=47']
Exploring Operation: 23*47=1081, Resulting Numbers: [1081]
1081,81 unequal: No Solution
Exploring Operation: 23+47=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[76, 75, 81], Operations: ['53+28=81']
Exploring Operation: 81-76=5, Resulting Numbers: [75, 5]
Generated Node #0,1,0: 81:[75, 5] Operation: 81-76=5
Exploring Operation: 81-75=6, Resulting Numbers: [76, 6]
Generated Node #0,1,1: 81:[76, 6] Operation: 81-75=6
Exploring Operation: 76-75=1, Resulting Numbers: [81, 1]
Generated Node #0,1,2: 81:[81, 1] Operation: 76-75=1
Moving to Node #0,1,2
Current State: 81:[81, 1], Operations: ['53+28=81', '76-75=1']
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,81 unequal: No Solution
Exploring Operation: 81/1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[53, 28, 76, 75], Operations: []
Exploring Operation: 53+28=81, Resulting Numbers: [76, 75, 81]
Generated Node #0,1: 81:[76, 75, 81] Operation: 53+28=81
Moving to Node #0,1
Current State: 81:[76, 75, 81], Operations: ['53+28=81']
Exploring Operation: 76-75=1, Resulting Numbers: [81, 1]
Generated Node #0,1,2: 81:[81, 1] Operation: 76-75=1
Moving to Node #0,1,2
Current State: 81:[81, 1], Operations: ['53+28=81', '76-75=1']
Exploring Operation: 81/1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_3 | mult_heuristic |
[
60,
39,
39,
51
] | 60 | [
"39-39=0",
"51*0=0",
"60+0=60"
] | Current State: 60:[60, 39, 39, 51], Operations: []
Exploring Operation: 39-39=0, Resulting Numbers: [60, 51, 0]
Generated Node #2: [60, 51, 0] from Operation: 39-39=0
Current State: 60:[60, 51, 0], Operations: ['39-39=0']
Exploring Operation: 51*0=0, Resulting Numbers: [60, 0]
Generated Node #3: [60, 0] from Operation: 51*0=0
Current State: 60:[60, 0], Operations: ['39-39=0', '51*0=0']
Exploring Operation: 60+0=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[60, 39, 39, 51], Operations: []
Exploring Operation: 51-39=12, Resulting Numbers: [60, 39, 12]
Generated Node #0,0: 60:[60, 39, 12] Operation: 51-39=12
Exploring Operation: 39/39=1, Resulting Numbers: [60, 51, 1]
Generated Node #0,1: 60:[60, 51, 1] Operation: 39/39=1
Exploring Operation: 51-39=12, Resulting Numbers: [60, 39, 12]
Generated Node #0,2: 60:[60, 39, 12] Operation: 51-39=12
Exploring Operation: 60-39=21, Resulting Numbers: [39, 51, 21]
Generated Node #0,3: 60:[39, 51, 21] Operation: 60-39=21
Exploring Operation: 39-39=0, Resulting Numbers: [60, 51, 0]
Generated Node #0,4: 60:[60, 51, 0] Operation: 39-39=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[60, 39, 12], Operations: ['51-39=12']
Exploring Operation: 39+12=51, Resulting Numbers: [60, 51]
Generated Node #0,0,0: 60:[60, 51] Operation: 39+12=51
Exploring Operation: 60+12=72, Resulting Numbers: [39, 72]
Generated Node #0,0,1: 60:[39, 72] Operation: 60+12=72
Exploring Operation: 39-12=27, Resulting Numbers: [60, 27]
Generated Node #0,0,2: 60:[60, 27] Operation: 39-12=27
Exploring Operation: 60/12=5, Resulting Numbers: [39, 5]
Generated Node #0,0,3: 60:[39, 5] Operation: 60/12=5
Exploring Operation: 60-39=21, Resulting Numbers: [12, 21]
Generated Node #0,0,4: 60:[12, 21] Operation: 60-39=21
Moving to Node #0,0,4
Current State: 60:[12, 21], Operations: ['51-39=12', '60-39=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,60 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Moving to Node #0,0,2
Current State: 60:[60, 27], Operations: ['51-39=12', '39-12=27']
Exploring Operation: 60+27=87, Resulting Numbers: [87]
87,60 unequal: No Solution
Exploring Operation: 60*27=1620, Resulting Numbers: [1620]
1620,60 unequal: No Solution
Exploring Operation: 60-27=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[60, 51], Operations: ['51-39=12', '39+12=51']
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,60 unequal: No Solution
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 60*51=3060, Resulting Numbers: [3060]
3060,60 unequal: No Solution
Moving to Node #0,0,3
Current State: 60:[39, 5], Operations: ['51-39=12', '60/12=5']
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,60 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,60 unequal: No Solution
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[39, 72], Operations: ['51-39=12', '60+12=72']
Exploring Operation: 39+72=111, Resulting Numbers: [111]
111,60 unequal: No Solution
Exploring Operation: 39*72=2808, Resulting Numbers: [2808]
2808,60 unequal: No Solution
Exploring Operation: 72-39=33, Resulting Numbers: [33]
33,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[60, 39, 12], Operations: ['51-39=12']
Exploring Operation: 39+12=51, Resulting Numbers: [60, 51]
Generated Node #0,2,0: 60:[60, 51] Operation: 39+12=51
Exploring Operation: 39-12=27, Resulting Numbers: [60, 27]
Generated Node #0,2,1: 60:[60, 27] Operation: 39-12=27
Exploring Operation: 60+12=72, Resulting Numbers: [39, 72]
Generated Node #0,2,2: 60:[39, 72] Operation: 60+12=72
Exploring Operation: 60/12=5, Resulting Numbers: [39, 5]
Generated Node #0,2,3: 60:[39, 5] Operation: 60/12=5
Exploring Operation: 60-39=21, Resulting Numbers: [12, 21]
Generated Node #0,2,4: 60:[12, 21] Operation: 60-39=21
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 60:[12, 21], Operations: ['51-39=12', '60-39=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,60 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 60:[60, 27], Operations: ['51-39=12', '39-12=27']
Exploring Operation: 60-27=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Exploring Operation: 60*27=1620, Resulting Numbers: [1620]
1620,60 unequal: No Solution
Exploring Operation: 60+27=87, Resulting Numbers: [87]
87,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 60:[60, 51], Operations: ['51-39=12', '39+12=51']
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,60 unequal: No Solution
Exploring Operation: 60*51=3060, Resulting Numbers: [3060]
3060,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 60:[39, 5], Operations: ['51-39=12', '60/12=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,60 unequal: No Solution
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,60 unequal: No Solution
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 60:[39, 72], Operations: ['51-39=12', '60+12=72']
Exploring Operation: 39*72=2808, Resulting Numbers: [2808]
2808,60 unequal: No Solution
Exploring Operation: 72-39=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Exploring Operation: 39+72=111, Resulting Numbers: [111]
111,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[60, 51, 1], Operations: ['39/39=1']
Exploring Operation: 60-51=9, Resulting Numbers: [1, 9]
Generated Node #0,1,0: 60:[1, 9] Operation: 60-51=9
Exploring Operation: 51*1=51, Resulting Numbers: [60, 51]
Generated Node #0,1,1: 60:[60, 51] Operation: 51*1=51
Exploring Operation: 60/1=60, Resulting Numbers: [51, 60]
Generated Node #0,1,2: 60:[51, 60] Operation: 60/1=60
Exploring Operation: 51+1=52, Resulting Numbers: [60, 52]
Generated Node #0,1,3: 60:[60, 52] Operation: 51+1=52
Exploring Operation: 60*1=60, Resulting Numbers: [51, 60]
Generated Node #0,1,4: 60:[51, 60] Operation: 60*1=60
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 60:[1, 9], Operations: ['39/39=1', '60-51=9']
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,60 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 60:[60, 52], Operations: ['39/39=1', '51+1=52']
Exploring Operation: 60*52=3120, Resulting Numbers: [3120]
3120,60 unequal: No Solution
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,60 unequal: No Solution
Exploring Operation: 60+52=112, Resulting Numbers: [112]
112,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[60, 51], Operations: ['39/39=1', '51*1=51']
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,60 unequal: No Solution
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 60*51=3060, Resulting Numbers: [3060]
3060,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[51, 60], Operations: ['39/39=1', '60/1=60']
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 51+60=111, Resulting Numbers: [111]
111,60 unequal: No Solution
Exploring Operation: 51*60=3060, Resulting Numbers: [3060]
3060,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 60:[51, 60], Operations: ['39/39=1', '60*1=60']
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 51+60=111, Resulting Numbers: [111]
111,60 unequal: No Solution
Exploring Operation: 51*60=3060, Resulting Numbers: [3060]
3060,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 60:[60, 51, 0], Operations: ['39-39=0']
Exploring Operation: 60-51=9, Resulting Numbers: [0, 9]
Generated Node #0,4,0: 60:[0, 9] Operation: 60-51=9
Exploring Operation: 51+0=51, Resulting Numbers: [60, 51]
Generated Node #0,4,1: 60:[60, 51] Operation: 51+0=51
Exploring Operation: 60-0=60, Resulting Numbers: [51, 60]
Generated Node #0,4,2: 60:[51, 60] Operation: 60-0=60
Exploring Operation: 51*0=0, Resulting Numbers: [60, 0]
Generated Node #0,4,3: 60:[60, 0] Operation: 51*0=0
Exploring Operation: 60+0=60, Resulting Numbers: [51, 60]
Generated Node #0,4,4: 60:[51, 60] Operation: 60+0=60
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 60:[60, 0], Operations: ['39-39=0', '51*0=0']
Exploring Operation: 60*0=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 60+0=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[60, 39, 39, 51], Operations: []
Exploring Operation: 39-39=0, Resulting Numbers: [60, 51, 0]
Generated Node #0,4: 60:[60, 51, 0] Operation: 39-39=0
Moving to Node #0,4
Current State: 60:[60, 51, 0], Operations: ['39-39=0']
Exploring Operation: 51*0=0, Resulting Numbers: [60, 0]
Generated Node #0,4,3: 60:[60, 0] Operation: 51*0=0
Moving to Node #0,4,3
Current State: 60:[60, 0], Operations: ['39-39=0', '51*0=0']
Exploring Operation: 60+0=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.93316 | hs_5 | sum_heuristic |
[
45,
23,
28,
50
] | 90 | [
"45+23=68",
"50-28=22",
"68+22=90"
] | Current State: 90:[45, 23, 28, 50], Operations: []
Exploring Operation: 45+23=68, Resulting Numbers: [28, 50, 68]
Generated Node #2: [28, 50, 68] from Operation: 45+23=68
Current State: 90:[28, 50, 68], Operations: ['45+23=68']
Exploring Operation: 50-28=22, Resulting Numbers: [68, 22]
Generated Node #3: [68, 22] from Operation: 50-28=22
Current State: 90:[68, 22], Operations: ['45+23=68', '50-28=22']
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[45, 23, 28, 50], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [23, 28, 5]
Generated Node #0,0: 90:[23, 28, 5] Operation: 50-45=5
Exploring Operation: 28-23=5, Resulting Numbers: [45, 50, 5]
Generated Node #0,1: 90:[45, 50, 5] Operation: 28-23=5
Exploring Operation: 50-23=27, Resulting Numbers: [45, 28, 27]
Generated Node #0,2: 90:[45, 28, 27] Operation: 50-23=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[45, 50, 5], Operations: ['28-23=5']
Exploring Operation: 50/5=10, Resulting Numbers: [45, 10]
Generated Node #0,1,0: 90:[45, 10] Operation: 50/5=10
Exploring Operation: 50-45=5, Resulting Numbers: [5, 5]
Generated Node #0,1,1: 90:[5, 5] Operation: 50-45=5
Exploring Operation: 50-5=45, Resulting Numbers: [45, 45]
Generated Node #0,1,2: 90:[45, 45] Operation: 50-5=45
Moving to Node #0,1,0
Current State: 90:[45, 10], Operations: ['28-23=5', '50/5=10']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Exploring Operation: 45*10=450, Resulting Numbers: [450]
450,90 unequal: No Solution
Exploring Operation: 45+10=55, Resulting Numbers: [55]
55,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[5, 5], Operations: ['28-23=5', '50-45=5']
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[45, 45], Operations: ['28-23=5', '50-5=45']
Exploring Operation: 45+45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[45, 23, 28, 50], Operations: []
Exploring Operation: 28-23=5, Resulting Numbers: [45, 50, 5]
Generated Node #0,1: 90:[45, 50, 5] Operation: 28-23=5
Moving to Node #0,1
Current State: 90:[45, 50, 5], Operations: ['28-23=5']
Exploring Operation: 50-5=45, Resulting Numbers: [45, 45]
Generated Node #0,1,2: 90:[45, 45] Operation: 50-5=45
Moving to Node #0,1,2
Current State: 90:[45, 45], Operations: ['28-23=5', '50-5=45']
Exploring Operation: 45+45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
40,
27,
40,
11
] | 16 | [
"40+27=67",
"40+11=51",
"67-51=16"
] | Current State: 16:[40, 27, 40, 11], Operations: []
Exploring Operation: 40+27=67, Resulting Numbers: [11, 67]
Generated Node #2: [11, 67] from Operation: 40+27=67
Current State: 16:[11, 67], Operations: ['40+27=67']
Exploring Operation: 40+11=51, Resulting Numbers: [67, 51]
Generated Node #3: [67, 51] from Operation: 40+11=51
Current State: 16:[67, 51], Operations: ['40+27=67', '40+11=51']
Exploring Operation: 67-51=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[40, 27, 40, 11], Operations: []
Exploring Operation: 40-11=29, Resulting Numbers: [27, 40, 29]
Generated Node #0,0: 16:[27, 40, 29] Operation: 40-11=29
Exploring Operation: 40/40=1, Resulting Numbers: [27, 11, 1]
Generated Node #0,1: 16:[27, 11, 1] Operation: 40/40=1
Exploring Operation: 40-27=13, Resulting Numbers: [40, 11, 13]
Generated Node #0,2: 16:[40, 11, 13] Operation: 40-27=13
Exploring Operation: 40-27=13, Resulting Numbers: [40, 11, 13]
Generated Node #0,3: 16:[40, 11, 13] Operation: 40-27=13
Exploring Operation: 40-40=0, Resulting Numbers: [27, 11, 0]
Generated Node #0,4: 16:[27, 11, 0] Operation: 40-40=0
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[27, 11, 1], Operations: ['40/40=1']
Exploring Operation: 27-1=26, Resulting Numbers: [11, 26]
Generated Node #0,1,0: 16:[11, 26] Operation: 27-1=26
Exploring Operation: 27*1=27, Resulting Numbers: [11, 27]
Generated Node #0,1,1: 16:[11, 27] Operation: 27*1=27
Exploring Operation: 27-11=16, Resulting Numbers: [1, 16]
Generated Node #0,1,2: 16:[1, 16] Operation: 27-11=16
Exploring Operation: 27/1=27, Resulting Numbers: [11, 27]
Generated Node #0,1,3: 16:[11, 27] Operation: 27/1=27
Exploring Operation: 11-1=10, Resulting Numbers: [27, 10]
Generated Node #0,1,4: 16:[27, 10] Operation: 11-1=10
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 16:[1, 16], Operations: ['40/40=1', '27-11=16']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[40, 27, 40, 11], Operations: []
Exploring Operation: 40/40=1, Resulting Numbers: [27, 11, 1]
Generated Node #0,1: 16:[27, 11, 1] Operation: 40/40=1
Moving to Node #0,1
Current State: 16:[27, 11, 1], Operations: ['40/40=1']
Exploring Operation: 27-11=16, Resulting Numbers: [1, 16]
Generated Node #0,1,2: 16:[1, 16] Operation: 27-11=16
Moving to Node #0,1,2
Current State: 16:[1, 16], Operations: ['40/40=1', '27-11=16']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
82,
16,
8,
5
] | 53 | [
"82-16=66",
"8+5=13",
"66-13=53"
] | Current State: 53:[82, 16, 8, 5], Operations: []
Exploring Operation: 82-16=66, Resulting Numbers: [8, 5, 66]
Generated Node #2: [8, 5, 66] from Operation: 82-16=66
Current State: 53:[8, 5, 66], Operations: ['82-16=66']
Exploring Operation: 8+5=13, Resulting Numbers: [66, 13]
Generated Node #3: [66, 13] from Operation: 8+5=13
Current State: 53:[66, 13], Operations: ['82-16=66', '8+5=13']
Exploring Operation: 66-13=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[82, 16, 8, 5], Operations: []
Exploring Operation: 16*5=80, Resulting Numbers: [82, 8, 80]
Generated Node #0,0: 53:[82, 8, 80] Operation: 16*5=80
Exploring Operation: 8*5=40, Resulting Numbers: [82, 16, 40]
Generated Node #0,1: 53:[82, 16, 40] Operation: 8*5=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[82, 16, 40], Operations: ['8*5=40']
Exploring Operation: 16+40=56, Resulting Numbers: [82, 56]
Generated Node #0,1,0: 53:[82, 56] Operation: 16+40=56
Exploring Operation: 82-16=66, Resulting Numbers: [40, 66]
Generated Node #0,1,1: 53:[40, 66] Operation: 82-16=66
Moving to Node #0,1,1
Current State: 53:[40, 66], Operations: ['8*5=40', '82-16=66']
Exploring Operation: 40+66=106, Resulting Numbers: [106]
106,53 unequal: No Solution
Exploring Operation: 66-40=26, Resulting Numbers: [26]
26,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[82, 56], Operations: ['8*5=40', '16+40=56']
Exploring Operation: 82-56=26, Resulting Numbers: [26]
26,53 unequal: No Solution
Exploring Operation: 82+56=138, Resulting Numbers: [138]
138,53 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
Current State: 53:[82, 8, 80], Operations: ['16*5=80']
Exploring Operation: 80-8=72, Resulting Numbers: [82, 72]
Generated Node #0,0,0: 53:[82, 72] Operation: 80-8=72
Exploring Operation: 82-8=74, Resulting Numbers: [80, 74]
Generated Node #0,0,1: 53:[80, 74] Operation: 82-8=74
Moving to Node #0,0,0
Current State: 53:[82, 72], Operations: ['16*5=80', '80-8=72']
Exploring Operation: 82-72=10, Resulting Numbers: [10]
10,53 unequal: No Solution
Exploring Operation: 82+72=154, Resulting Numbers: [154]
154,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[80, 74], Operations: ['16*5=80', '82-8=74']
Exploring Operation: 80-74=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 80+74=154, Resulting Numbers: [154]
154,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
60,
21,
6,
97
] | 22 | [
"60+21=81",
"6+97=103",
"103-81=22"
] | Current State: 22:[60, 21, 6, 97], Operations: []
Exploring Operation: 60+21=81, Resulting Numbers: [6, 97, 81]
Generated Node #2: [6, 97, 81] from Operation: 60+21=81
Current State: 22:[6, 97, 81], Operations: ['60+21=81']
Exploring Operation: 6+97=103, Resulting Numbers: [81, 103]
Generated Node #3: [81, 103] from Operation: 6+97=103
Current State: 22:[81, 103], Operations: ['60+21=81', '6+97=103']
Exploring Operation: 103-81=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[60, 21, 6, 97], Operations: []
Exploring Operation: 60-21=39, Resulting Numbers: [6, 97, 39]
Generated Node #0,0: 22:[6, 97, 39] Operation: 60-21=39
Exploring Operation: 97-60=37, Resulting Numbers: [21, 6, 37]
Generated Node #0,1: 22:[21, 6, 37] Operation: 97-60=37
Exploring Operation: 60/6=10, Resulting Numbers: [21, 97, 10]
Generated Node #0,2: 22:[21, 97, 10] Operation: 60/6=10
Moving to Node #0,1
Current State: 22:[21, 6, 37], Operations: ['97-60=37']
Exploring Operation: 37-21=16, Resulting Numbers: [6, 16]
Generated Node #0,1,0: 22:[6, 16] Operation: 37-21=16
Exploring Operation: 37-6=31, Resulting Numbers: [21, 31]
Generated Node #0,1,1: 22:[21, 31] Operation: 37-6=31
Exploring Operation: 21-6=15, Resulting Numbers: [37, 15]
Generated Node #0,1,2: 22:[37, 15] Operation: 21-6=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 22:[6, 16], Operations: ['97-60=37', '37-21=16']
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[60, 21, 6, 97], Operations: []
Exploring Operation: 97-60=37, Resulting Numbers: [21, 6, 37]
Generated Node #0,1: 22:[21, 6, 37] Operation: 97-60=37
Moving to Node #0,1
Current State: 22:[21, 6, 37], Operations: ['97-60=37']
Exploring Operation: 37-21=16, Resulting Numbers: [6, 16]
Generated Node #0,1,0: 22:[6, 16] Operation: 37-21=16
Moving to Node #0,1,0
Current State: 22:[6, 16], Operations: ['97-60=37', '37-21=16']
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
8,
3,
93,
70
] | 77 | [
"93-70=23",
"3*23=69",
"8+69=77"
] | Current State: 77:[8, 3, 93, 70], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [8, 3, 23]
Generated Node #2: [8, 3, 23] from Operation: 93-70=23
Current State: 77:[8, 3, 23], Operations: ['93-70=23']
Exploring Operation: 3*23=69, Resulting Numbers: [8, 69]
Generated Node #3: [8, 69] from Operation: 3*23=69
Current State: 77:[8, 69], Operations: ['93-70=23', '3*23=69']
Exploring Operation: 8+69=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[8, 3, 93, 70], Operations: []
Exploring Operation: 93-8=85, Resulting Numbers: [3, 70, 85]
Generated Node #0,0: 77:[3, 70, 85] Operation: 93-8=85
Exploring Operation: 93-70=23, Resulting Numbers: [8, 3, 23]
Generated Node #0,1: 77:[8, 3, 23] Operation: 93-70=23
Exploring Operation: 8+70=78, Resulting Numbers: [3, 93, 78]
Generated Node #0,2: 77:[3, 93, 78] Operation: 8+70=78
Moving to Node #0,1
Current State: 77:[8, 3, 23], Operations: ['93-70=23']
Exploring Operation: 3*23=69, Resulting Numbers: [8, 69]
Generated Node #0,1,0: 77:[8, 69] Operation: 3*23=69
Exploring Operation: 23-8=15, Resulting Numbers: [3, 15]
Generated Node #0,1,1: 77:[3, 15] Operation: 23-8=15
Exploring Operation: 23-3=20, Resulting Numbers: [8, 20]
Generated Node #0,1,2: 77:[8, 20] Operation: 23-3=20
Moving to Node #0,0
Current State: 77:[3, 70, 85], Operations: ['93-8=85']
Exploring Operation: 85-70=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 77:[3, 15] Operation: 85-70=15
Exploring Operation: 85-3=82, Resulting Numbers: [70, 82]
Generated Node #0,0,1: 77:[70, 82] Operation: 85-3=82
Exploring Operation: 3+70=73, Resulting Numbers: [85, 73]
Generated Node #0,0,2: 77:[85, 73] Operation: 3+70=73
Moving to Node #0,2
Current State: 77:[3, 93, 78], Operations: ['8+70=78']
Exploring Operation: 78-3=75, Resulting Numbers: [93, 75]
Generated Node #0,2,0: 77:[93, 75] Operation: 78-3=75
Exploring Operation: 93-3=90, Resulting Numbers: [78, 90]
Generated Node #0,2,1: 77:[78, 90] Operation: 93-3=90
Exploring Operation: 93-78=15, Resulting Numbers: [3, 15]
Generated Node #0,2,2: 77:[3, 15] Operation: 93-78=15
Moving to Node #0,1,1
Current State: 77:[3, 15], Operations: ['93-70=23', '23-8=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[3, 15], Operations: ['8+70=78', '93-78=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[3, 15], Operations: ['93-8=85', '85-70=15']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[8, 69], Operations: ['93-70=23', '3*23=69']
Exploring Operation: 8+69=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[8, 3, 93, 70], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [8, 3, 23]
Generated Node #0,1: 77:[8, 3, 23] Operation: 93-70=23
Moving to Node #0,1
Current State: 77:[8, 3, 23], Operations: ['93-70=23']
Exploring Operation: 3*23=69, Resulting Numbers: [8, 69]
Generated Node #0,1,0: 77:[8, 69] Operation: 3*23=69
Moving to Node #0,1,0
Current State: 77:[8, 69], Operations: ['93-70=23', '3*23=69']
Exploring Operation: 8+69=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
14,
37,
42,
64
] | 47 | [
"42/14=3",
"37*3=111",
"111-64=47"
] | Current State: 47:[14, 37, 42, 64], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [37, 64, 3]
Generated Node #2: [37, 64, 3] from Operation: 42/14=3
Current State: 47:[37, 64, 3], Operations: ['42/14=3']
Exploring Operation: 37*3=111, Resulting Numbers: [64, 111]
Generated Node #3: [64, 111] from Operation: 37*3=111
Current State: 47:[64, 111], Operations: ['42/14=3', '37*3=111']
Exploring Operation: 111-64=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[14, 37, 42, 64], Operations: []
Exploring Operation: 37-14=23, Resulting Numbers: [42, 64, 23]
Generated Node #0,0: 47:[42, 64, 23] Operation: 37-14=23
Exploring Operation: 64-14=50, Resulting Numbers: [37, 42, 50]
Generated Node #0,1: 47:[37, 42, 50] Operation: 64-14=50
Exploring Operation: 14+37=51, Resulting Numbers: [42, 64, 51]
Generated Node #0,2: 47:[42, 64, 51] Operation: 14+37=51
Exploring Operation: 14+42=56, Resulting Numbers: [37, 64, 56]
Generated Node #0,3: 47:[37, 64, 56] Operation: 14+42=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[37, 42, 50], Operations: ['64-14=50']
Exploring Operation: 37+50=87, Resulting Numbers: [42, 87]
Generated Node #0,1,0: 47:[42, 87] Operation: 37+50=87
Exploring Operation: 37+42=79, Resulting Numbers: [50, 79]
Generated Node #0,1,1: 47:[50, 79] Operation: 37+42=79
Exploring Operation: 42-37=5, Resulting Numbers: [50, 5]
Generated Node #0,1,2: 47:[50, 5] Operation: 42-37=5
Exploring Operation: 50-37=13, Resulting Numbers: [42, 13]
Generated Node #0,1,3: 47:[42, 13] Operation: 50-37=13
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[50, 79], Operations: ['64-14=50', '37+42=79']
Exploring Operation: 50*79=3950, Resulting Numbers: [3950]
3950,47 unequal: No Solution
Exploring Operation: 79-50=29, Resulting Numbers: [29]
29,47 unequal: No Solution
Exploring Operation: 50+79=129, Resulting Numbers: [129]
129,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 47:[42, 13], Operations: ['64-14=50', '50-37=13']
Exploring Operation: 42*13=546, Resulting Numbers: [546]
546,47 unequal: No Solution
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,47 unequal: No Solution
Exploring Operation: 42+13=55, Resulting Numbers: [55]
55,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[42, 87], Operations: ['64-14=50', '37+50=87']
Exploring Operation: 42*87=3654, Resulting Numbers: [3654]
3654,47 unequal: No Solution
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 42+87=129, Resulting Numbers: [129]
129,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 47:[50, 5], Operations: ['64-14=50', '42-37=5']
Exploring Operation: 50*5=250, Resulting Numbers: [250]
250,47 unequal: No Solution
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 50+5=55, Resulting Numbers: [55]
55,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[42, 64, 51], Operations: ['14+37=51']
Exploring Operation: 64-42=22, Resulting Numbers: [51, 22]
Generated Node #0,2,0: 47:[51, 22] Operation: 64-42=22
Exploring Operation: 42+64=106, Resulting Numbers: [51, 106]
Generated Node #0,2,1: 47:[51, 106] Operation: 42+64=106
Exploring Operation: 51-42=9, Resulting Numbers: [64, 9]
Generated Node #0,2,2: 47:[64, 9] Operation: 51-42=9
Exploring Operation: 64-51=13, Resulting Numbers: [42, 13]
Generated Node #0,2,3: 47:[42, 13] Operation: 64-51=13
Moving to Node #0,2,0
Current State: 47:[51, 22], Operations: ['14+37=51', '64-42=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,47 unequal: No Solution
Exploring Operation: 51+22=73, Resulting Numbers: [73]
73,47 unequal: No Solution
Exploring Operation: 51*22=1122, Resulting Numbers: [1122]
1122,47 unequal: No Solution
Moving to Node #0,2,3
Current State: 47:[42, 13], Operations: ['14+37=51', '64-51=13']
Exploring Operation: 42*13=546, Resulting Numbers: [546]
546,47 unequal: No Solution
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,47 unequal: No Solution
Exploring Operation: 42+13=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[64, 9], Operations: ['14+37=51', '51-42=9']
Exploring Operation: 64*9=576, Resulting Numbers: [576]
576,47 unequal: No Solution
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,47 unequal: No Solution
Moving to Node #0,2,1
Current State: 47:[51, 106], Operations: ['14+37=51', '42+64=106']
Exploring Operation: 106-51=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 51+106=157, Resulting Numbers: [157]
157,47 unequal: No Solution
Exploring Operation: 51*106=5406, Resulting Numbers: [5406]
5406,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[37, 64, 56], Operations: ['14+42=56']
Exploring Operation: 64-37=27, Resulting Numbers: [56, 27]
Generated Node #0,3,0: 47:[56, 27] Operation: 64-37=27
Exploring Operation: 64-56=8, Resulting Numbers: [37, 8]
Generated Node #0,3,1: 47:[37, 8] Operation: 64-56=8
Exploring Operation: 37+64=101, Resulting Numbers: [56, 101]
Generated Node #0,3,2: 47:[56, 101] Operation: 37+64=101
Exploring Operation: 56-37=19, Resulting Numbers: [64, 19]
Generated Node #0,3,3: 47:[64, 19] Operation: 56-37=19
Moving to Node #0,3,0
Current State: 47:[56, 27], Operations: ['14+42=56', '64-37=27']
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,47 unequal: No Solution
Exploring Operation: 56+27=83, Resulting Numbers: [83]
83,47 unequal: No Solution
Exploring Operation: 56*27=1512, Resulting Numbers: [1512]
1512,47 unequal: No Solution
Moving to Node #0,3,3
Current State: 47:[64, 19], Operations: ['14+42=56', '56-37=19']
Exploring Operation: 64+19=83, Resulting Numbers: [83]
83,47 unequal: No Solution
Exploring Operation: 64*19=1216, Resulting Numbers: [1216]
1216,47 unequal: No Solution
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Moving to Node #0,3,1
Current State: 47:[37, 8], Operations: ['14+42=56', '64-56=8']
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 37*8=296, Resulting Numbers: [296]
296,47 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,47 unequal: No Solution
Moving to Node #0,3,2
Current State: 47:[56, 101], Operations: ['14+42=56', '37+64=101']
Exploring Operation: 56+101=157, Resulting Numbers: [157]
157,47 unequal: No Solution
Exploring Operation: 101-56=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 56*101=5656, Resulting Numbers: [5656]
5656,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[42, 64, 23], Operations: ['37-14=23']
Exploring Operation: 64-23=41, Resulting Numbers: [42, 41]
Generated Node #0,0,0: 47:[42, 41] Operation: 64-23=41
Exploring Operation: 42-23=19, Resulting Numbers: [64, 19]
Generated Node #0,0,1: 47:[64, 19] Operation: 42-23=19
Exploring Operation: 42+23=65, Resulting Numbers: [64, 65]
Generated Node #0,0,2: 47:[64, 65] Operation: 42+23=65
Exploring Operation: 64+23=87, Resulting Numbers: [42, 87]
Generated Node #0,0,3: 47:[42, 87] Operation: 64+23=87
Moving to Node #0,0,0
Current State: 47:[42, 41], Operations: ['37-14=23', '64-23=41']
Exploring Operation: 42*41=1722, Resulting Numbers: [1722]
1722,47 unequal: No Solution
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[64, 65], Operations: ['37-14=23', '42+23=65']
Exploring Operation: 64*65=4160, Resulting Numbers: [4160]
4160,47 unequal: No Solution
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 64+65=129, Resulting Numbers: [129]
129,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[42, 87], Operations: ['37-14=23', '64+23=87']
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 42*87=3654, Resulting Numbers: [3654]
3654,47 unequal: No Solution
Exploring Operation: 42+87=129, Resulting Numbers: [129]
129,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[64, 19], Operations: ['37-14=23', '42-23=19']
Exploring Operation: 64*19=1216, Resulting Numbers: [1216]
1216,47 unequal: No Solution
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 64+19=83, Resulting Numbers: [83]
83,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
18,
49,
47,
36
] | 36 | [
"36-18=18",
"49-47=2",
"18*2=36"
] | Current State: 36:[18, 49, 47, 36], Operations: []
Exploring Operation: 36-18=18, Resulting Numbers: [49, 47, 18]
Generated Node #2: [49, 47, 18] from Operation: 36-18=18
Current State: 36:[49, 47, 18], Operations: ['36-18=18']
Exploring Operation: 49-47=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 49-47=2
Current State: 36:[18, 2], Operations: ['36-18=18', '49-47=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[18, 49, 47, 36], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [18, 36, 2]
Generated Node #0,0: 36:[18, 36, 2] Operation: 49-47=2
Exploring Operation: 49-18=31, Resulting Numbers: [47, 36, 31]
Generated Node #0,1: 36:[47, 36, 31] Operation: 49-18=31
Exploring Operation: 47-18=29, Resulting Numbers: [49, 36, 29]
Generated Node #0,2: 36:[49, 36, 29] Operation: 47-18=29
Exploring Operation: 49-36=13, Resulting Numbers: [18, 47, 13]
Generated Node #0,3: 36:[18, 47, 13] Operation: 49-36=13
Exploring Operation: 47-36=11, Resulting Numbers: [18, 49, 11]
Generated Node #0,4: 36:[18, 49, 11] Operation: 47-36=11
Moving to Node #0,0
Current State: 36:[18, 36, 2], Operations: ['49-47=2']
Exploring Operation: 18/2=9, Resulting Numbers: [36, 9]
Generated Node #0,0,0: 36:[36, 9] Operation: 18/2=9
Exploring Operation: 36-18=18, Resulting Numbers: [2, 18]
Generated Node #0,0,1: 36:[2, 18] Operation: 36-18=18
Exploring Operation: 18*2=36, Resulting Numbers: [36, 36]
Generated Node #0,0,2: 36:[36, 36] Operation: 18*2=36
Exploring Operation: 36/2=18, Resulting Numbers: [18, 18]
Generated Node #0,0,3: 36:[18, 18] Operation: 36/2=18
Exploring Operation: 36/18=2, Resulting Numbers: [2, 2]
Generated Node #0,0,4: 36:[2, 2] Operation: 36/18=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[36, 9], Operations: ['49-47=2', '18/2=9']
Exploring Operation: 36+9=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 36*9=324, Resulting Numbers: [324]
324,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 36:[2, 18], Operations: ['49-47=2', '36-18=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[18, 49, 47, 36], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [18, 36, 2]
Generated Node #0,0: 36:[18, 36, 2] Operation: 49-47=2
Moving to Node #0,0
Current State: 36:[18, 36, 2], Operations: ['49-47=2']
Exploring Operation: 36-18=18, Resulting Numbers: [2, 18]
Generated Node #0,0,1: 36:[2, 18] Operation: 36-18=18
Moving to Node #0,0,1
Current State: 36:[2, 18], Operations: ['49-47=2', '36-18=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
44,
3,
37,
93
] | 62 | [
"93-44=49",
"3*37=111",
"111-49=62"
] | Current State: 62:[44, 3, 37, 93], Operations: []
Exploring Operation: 93-44=49, Resulting Numbers: [3, 37, 49]
Generated Node #2: [3, 37, 49] from Operation: 93-44=49
Current State: 62:[3, 37, 49], Operations: ['93-44=49']
Exploring Operation: 3*37=111, Resulting Numbers: [49, 111]
Generated Node #3: [49, 111] from Operation: 3*37=111
Current State: 62:[49, 111], Operations: ['93-44=49', '3*37=111']
Exploring Operation: 111-49=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[44, 3, 37, 93], Operations: []
Exploring Operation: 93-44=49, Resulting Numbers: [3, 37, 49]
Generated Node #0,0: 62:[3, 37, 49] Operation: 93-44=49
Exploring Operation: 44-37=7, Resulting Numbers: [3, 93, 7]
Generated Node #0,1: 62:[3, 93, 7] Operation: 44-37=7
Exploring Operation: 93-37=56, Resulting Numbers: [44, 3, 56]
Generated Node #0,2: 62:[44, 3, 56] Operation: 93-37=56
Exploring Operation: 93/3=31, Resulting Numbers: [44, 37, 31]
Generated Node #0,3: 62:[44, 37, 31] Operation: 93/3=31
Moving to Node #0,3
Current State: 62:[44, 37, 31], Operations: ['93/3=31']
Exploring Operation: 44-31=13, Resulting Numbers: [37, 13]
Generated Node #0,3,0: 62:[37, 13] Operation: 44-31=13
Exploring Operation: 37-31=6, Resulting Numbers: [44, 6]
Generated Node #0,3,1: 62:[44, 6] Operation: 37-31=6
Exploring Operation: 44-37=7, Resulting Numbers: [31, 7]
Generated Node #0,3,2: 62:[31, 7] Operation: 44-37=7
Exploring Operation: 44+37=81, Resulting Numbers: [31, 81]
Generated Node #0,3,3: 62:[31, 81] Operation: 44+37=81
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 62:[31, 7], Operations: ['93/3=31', '44-37=7']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,62 unequal: No Solution
Exploring Operation: 31*7=217, Resulting Numbers: [217]
217,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 62:[37, 13], Operations: ['93/3=31', '44-31=13']
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,62 unequal: No Solution
Exploring Operation: 37*13=481, Resulting Numbers: [481]
481,62 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 62:[44, 6], Operations: ['93/3=31', '37-31=6']
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,62 unequal: No Solution
Exploring Operation: 44*6=264, Resulting Numbers: [264]
264,62 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 62:[31, 81], Operations: ['93/3=31', '44+37=81']
Exploring Operation: 31+81=112, Resulting Numbers: [112]
112,62 unequal: No Solution
Exploring Operation: 81-31=50, Resulting Numbers: [50]
50,62 unequal: No Solution
Exploring Operation: 31*81=2511, Resulting Numbers: [2511]
2511,62 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: 62:[44, 3, 56], Operations: ['93-37=56']
Exploring Operation: 44+3=47, Resulting Numbers: [56, 47]
Generated Node #0,2,0: 62:[56, 47] Operation: 44+3=47
Exploring Operation: 3+56=59, Resulting Numbers: [44, 59]
Generated Node #0,2,1: 62:[44, 59] Operation: 3+56=59
Exploring Operation: 44-3=41, Resulting Numbers: [56, 41]
Generated Node #0,2,2: 62:[56, 41] Operation: 44-3=41
Exploring Operation: 56-44=12, Resulting Numbers: [3, 12]
Generated Node #0,2,3: 62:[3, 12] Operation: 56-44=12
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 62:[3, 12], Operations: ['93-37=56', '56-44=12']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 62:[44, 59], Operations: ['93-37=56', '3+56=59']
Exploring Operation: 44*59=2596, Resulting Numbers: [2596]
2596,62 unequal: No Solution
Exploring Operation: 44+59=103, Resulting Numbers: [103]
103,62 unequal: No Solution
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 62:[56, 41], Operations: ['93-37=56', '44-3=41']
Exploring Operation: 56-41=15, Resulting Numbers: [15]
15,62 unequal: No Solution
Exploring Operation: 56+41=97, Resulting Numbers: [97]
97,62 unequal: No Solution
Exploring Operation: 56*41=2296, Resulting Numbers: [2296]
2296,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[56, 47], Operations: ['93-37=56', '44+3=47']
Exploring Operation: 56*47=2632, Resulting Numbers: [2632]
2632,62 unequal: No Solution
Exploring Operation: 56+47=103, Resulting Numbers: [103]
103,62 unequal: No Solution
Exploring Operation: 56-47=9, Resulting Numbers: [9]
9,62 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: 62:[3, 37, 49], Operations: ['93-44=49']
Exploring Operation: 3+49=52, Resulting Numbers: [37, 52]
Generated Node #0,0,0: 62:[37, 52] Operation: 3+49=52
Exploring Operation: 37-3=34, Resulting Numbers: [49, 34]
Generated Node #0,0,1: 62:[49, 34] Operation: 37-3=34
Exploring Operation: 49-37=12, Resulting Numbers: [3, 12]
Generated Node #0,0,2: 62:[3, 12] Operation: 49-37=12
Exploring Operation: 49-3=46, Resulting Numbers: [37, 46]
Generated Node #0,0,3: 62:[37, 46] Operation: 49-3=46
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[3, 12], Operations: ['93-44=49', '49-37=12']
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,62 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[37, 52], Operations: ['93-44=49', '3+49=52']
Exploring Operation: 52-37=15, Resulting Numbers: [15]
15,62 unequal: No Solution
Exploring Operation: 37+52=89, Resulting Numbers: [89]
89,62 unequal: No Solution
Exploring Operation: 37*52=1924, Resulting Numbers: [1924]
1924,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[49, 34], Operations: ['93-44=49', '37-3=34']
Exploring Operation: 49*34=1666, Resulting Numbers: [1666]
1666,62 unequal: No Solution
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,62 unequal: No Solution
Exploring Operation: 49+34=83, Resulting Numbers: [83]
83,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 62:[37, 46], Operations: ['93-44=49', '49-3=46']
Exploring Operation: 37*46=1702, Resulting Numbers: [1702]
1702,62 unequal: No Solution
Exploring Operation: 37+46=83, Resulting Numbers: [83]
83,62 unequal: No Solution
Exploring Operation: 46-37=9, Resulting Numbers: [9]
9,62 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: 62:[3, 93, 7], Operations: ['44-37=7']
Exploring Operation: 93-3=90, Resulting Numbers: [7, 90]
Generated Node #0,1,0: 62:[7, 90] Operation: 93-3=90
Exploring Operation: 93-7=86, Resulting Numbers: [3, 86]
Generated Node #0,1,1: 62:[3, 86] Operation: 93-7=86
Exploring Operation: 7-3=4, Resulting Numbers: [93, 4]
Generated Node #0,1,2: 62:[93, 4] Operation: 7-3=4
Exploring Operation: 93/3=31, Resulting Numbers: [7, 31]
Generated Node #0,1,3: 62:[7, 31] Operation: 93/3=31
Moving to Node #0,1,3
Current State: 62:[7, 31], Operations: ['44-37=7', '93/3=31']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,62 unequal: No Solution
Exploring Operation: 7*31=217, Resulting Numbers: [217]
217,62 unequal: No Solution
Moving to Node #0,1,1
Current State: 62:[3, 86], Operations: ['44-37=7', '93-7=86']
Exploring Operation: 3+86=89, Resulting Numbers: [89]
89,62 unequal: No Solution
Exploring Operation: 3*86=258, Resulting Numbers: [258]
258,62 unequal: No Solution
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,62 unequal: No Solution
Moving to Node #0,1,2
Current State: 62:[93, 4], Operations: ['44-37=7', '7-3=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,62 unequal: No Solution
Exploring Operation: 93*4=372, Resulting Numbers: [372]
372,62 unequal: No Solution
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[7, 90], Operations: ['44-37=7', '93-3=90']
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,62 unequal: No Solution
Exploring Operation: 7*90=630, Resulting Numbers: [630]
630,62 unequal: No Solution
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,62 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
4,
67,
88,
8
] | 45 | [
"8-4=4",
"88/4=22",
"67-22=45"
] | Current State: 45:[4, 67, 88, 8], Operations: []
Exploring Operation: 8-4=4, Resulting Numbers: [67, 88, 4]
Generated Node #2: [67, 88, 4] from Operation: 8-4=4
Current State: 45:[67, 88, 4], Operations: ['8-4=4']
Exploring Operation: 88/4=22, Resulting Numbers: [67, 22]
Generated Node #3: [67, 22] from Operation: 88/4=22
Current State: 45:[67, 22], Operations: ['8-4=4', '88/4=22']
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[4, 67, 88, 8], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [4, 8, 21]
Generated Node #0,0: 45:[4, 8, 21] Operation: 88-67=21
Moving to Node #0,0
Current State: 45:[4, 8, 21], Operations: ['88-67=21']
Exploring Operation: 21-4=17, Resulting Numbers: [8, 17]
Generated Node #0,0,0: 45:[8, 17] Operation: 21-4=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[8, 17], Operations: ['88-67=21', '21-4=17']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
89,
18,
91,
5
] | 80 | [
"89+18=107",
"107-91=16",
"5*16=80"
] | Current State: 80:[89, 18, 91, 5], Operations: []
Exploring Operation: 89+18=107, Resulting Numbers: [91, 5, 107]
Generated Node #2: [91, 5, 107] from Operation: 89+18=107
Current State: 80:[91, 5, 107], Operations: ['89+18=107']
Exploring Operation: 107-91=16, Resulting Numbers: [5, 16]
Generated Node #3: [5, 16] from Operation: 107-91=16
Current State: 80:[5, 16], Operations: ['89+18=107', '107-91=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[89, 18, 91, 5], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [18, 5, 2]
Generated Node #0,0: 80:[18, 5, 2] Operation: 91-89=2
Moving to Node #0,0
Current State: 80:[18, 5, 2], Operations: ['91-89=2']
Exploring Operation: 18+2=20, Resulting Numbers: [5, 20]
Generated Node #0,0,0: 80:[5, 20] Operation: 18+2=20
Moving to Node #0,0,0
Current State: 80:[5, 20], Operations: ['91-89=2', '18+2=20']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,80 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
53,
67,
78,
64
] | 28 | [
"67-53=14",
"78-64=14",
"14+14=28"
] | Current State: 28:[53, 67, 78, 64], Operations: []
Exploring Operation: 67-53=14, Resulting Numbers: [78, 64, 14]
Generated Node #2: [78, 64, 14] from Operation: 67-53=14
Current State: 28:[78, 64, 14], Operations: ['67-53=14']
Exploring Operation: 78-64=14, Resulting Numbers: [14, 14]
Generated Node #3: [14, 14] from Operation: 78-64=14
Current State: 28:[14, 14], Operations: ['67-53=14', '78-64=14']
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[53, 67, 78, 64], Operations: []
Exploring Operation: 78-67=11, Resulting Numbers: [53, 64, 11]
Generated Node #0,0: 28:[53, 64, 11] Operation: 78-67=11
Exploring Operation: 78-64=14, Resulting Numbers: [53, 67, 14]
Generated Node #0,1: 28:[53, 67, 14] Operation: 78-64=14
Exploring Operation: 67-64=3, Resulting Numbers: [53, 78, 3]
Generated Node #0,2: 28:[53, 78, 3] Operation: 67-64=3
Moving to Node #0,0
Current State: 28:[53, 64, 11], Operations: ['78-67=11']
Exploring Operation: 64-53=11, Resulting Numbers: [11, 11]
Generated Node #0,0,0: 28:[11, 11] Operation: 64-53=11
Exploring Operation: 64-11=53, Resulting Numbers: [53, 53]
Generated Node #0,0,1: 28:[53, 53] Operation: 64-11=53
Exploring Operation: 53-11=42, Resulting Numbers: [64, 42]
Generated Node #0,0,2: 28:[64, 42] Operation: 53-11=42
Moving to Node #0,1
Current State: 28:[53, 67, 14], Operations: ['78-64=14']
Exploring Operation: 53-14=39, Resulting Numbers: [67, 39]
Generated Node #0,1,0: 28:[67, 39] Operation: 53-14=39
Exploring Operation: 67-53=14, Resulting Numbers: [14, 14]
Generated Node #0,1,1: 28:[14, 14] Operation: 67-53=14
Exploring Operation: 67-14=53, Resulting Numbers: [53, 53]
Generated Node #0,1,2: 28:[53, 53] Operation: 67-14=53
Moving to Node #0,2
Current State: 28:[53, 78, 3], Operations: ['67-64=3']
Exploring Operation: 53-3=50, Resulting Numbers: [78, 50]
Generated Node #0,2,0: 28:[78, 50] Operation: 53-3=50
Exploring Operation: 78/3=26, Resulting Numbers: [53, 26]
Generated Node #0,2,1: 28:[53, 26] Operation: 78/3=26
Exploring Operation: 78-53=25, Resulting Numbers: [3, 25]
Generated Node #0,2,2: 28:[3, 25] Operation: 78-53=25
Moving to Node #0,1,1
Current State: 28:[14, 14], Operations: ['78-64=14', '67-53=14']
Exploring Operation: 14-14=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[53, 67, 78, 64], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [53, 67, 14]
Generated Node #0,1: 28:[53, 67, 14] Operation: 78-64=14
Moving to Node #0,1
Current State: 28:[53, 67, 14], Operations: ['78-64=14']
Exploring Operation: 67-53=14, Resulting Numbers: [14, 14]
Generated Node #0,1,1: 28:[14, 14] Operation: 67-53=14
Moving to Node #0,1,1
Current State: 28:[14, 14], Operations: ['78-64=14', '67-53=14']
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 0.984375 | hs_3 | mult_heuristic |
[
7,
3,
33,
21
] | 50 | [
"7-3=4",
"33+21=54",
"54-4=50"
] | Current State: 50:[7, 3, 33, 21], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [33, 21, 4]
Generated Node #2: [33, 21, 4] from Operation: 7-3=4
Current State: 50:[33, 21, 4], Operations: ['7-3=4']
Exploring Operation: 33+21=54, Resulting Numbers: [4, 54]
Generated Node #3: [4, 54] from Operation: 33+21=54
Current State: 50:[4, 54], Operations: ['7-3=4', '33+21=54']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[7, 3, 33, 21], Operations: []
Exploring Operation: 33-7=26, Resulting Numbers: [3, 21, 26]
Generated Node #0,0: 50:[3, 21, 26] Operation: 33-7=26
Exploring Operation: 33-21=12, Resulting Numbers: [7, 3, 12]
Generated Node #0,1: 50:[7, 3, 12] Operation: 33-21=12
Moving to Node #0,1
Current State: 50:[7, 3, 12], Operations: ['33-21=12']
Exploring Operation: 7+3=10, Resulting Numbers: [12, 10]
Generated Node #0,1,0: 50:[12, 10] Operation: 7+3=10
Exploring Operation: 12-7=5, Resulting Numbers: [3, 5]
Generated Node #0,1,1: 50:[3, 5] Operation: 12-7=5
Moving to Node #0,0
Current State: 50:[3, 21, 26], Operations: ['33-7=26']
Exploring Operation: 26-21=5, Resulting Numbers: [3, 5]
Generated Node #0,0,0: 50:[3, 5] Operation: 26-21=5
Exploring Operation: 3+21=24, Resulting Numbers: [26, 24]
Generated Node #0,0,1: 50:[26, 24] Operation: 3+21=24
Moving to Node #0,1,1
Current State: 50:[3, 5], Operations: ['33-21=12', '12-7=5']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[3, 5], Operations: ['33-7=26', '26-21=5']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[12, 10], Operations: ['33-21=12', '7+3=10']
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[26, 24], Operations: ['33-7=26', '3+21=24']
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[7, 3, 33, 21], Operations: []
Exploring Operation: 33-7=26, Resulting Numbers: [3, 21, 26]
Generated Node #0,0: 50:[3, 21, 26] Operation: 33-7=26
Moving to Node #0,0
Current State: 50:[3, 21, 26], Operations: ['33-7=26']
Exploring Operation: 3+21=24, Resulting Numbers: [26, 24]
Generated Node #0,0,1: 50:[26, 24] Operation: 3+21=24
Moving to Node #0,0,1
Current State: 50:[26, 24], Operations: ['33-7=26', '3+21=24']
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 0.984375 | hs_2 | mult_heuristic |
[
29,
82,
24,
14
] | 43 | [
"82-29=53",
"24-14=10",
"53-10=43"
] | Current State: 43:[29, 82, 24, 14], Operations: []
Exploring Operation: 82-29=53, Resulting Numbers: [24, 14, 53]
Generated Node #2: [24, 14, 53] from Operation: 82-29=53
Current State: 43:[24, 14, 53], Operations: ['82-29=53']
Exploring Operation: 24-14=10, Resulting Numbers: [53, 10]
Generated Node #3: [53, 10] from Operation: 24-14=10
Current State: 43:[53, 10], Operations: ['82-29=53', '24-14=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[29, 82, 24, 14], Operations: []
Exploring Operation: 82-29=53, Resulting Numbers: [24, 14, 53]
Generated Node #0,0: 43:[24, 14, 53] Operation: 82-29=53
Exploring Operation: 29+14=43, Resulting Numbers: [82, 24, 43]
Generated Node #0,1: 43:[82, 24, 43] Operation: 29+14=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[24, 14, 53], Operations: ['82-29=53']
Exploring Operation: 24+14=38, Resulting Numbers: [53, 38]
Generated Node #0,0,0: 43:[53, 38] Operation: 24+14=38
Exploring Operation: 53-14=39, Resulting Numbers: [24, 39]
Generated Node #0,0,1: 43:[24, 39] Operation: 53-14=39
Moving to Node #0,0,0
Current State: 43:[53, 38], Operations: ['82-29=53', '24+14=38']
Exploring Operation: 53+38=91, Resulting Numbers: [91]
91,43 unequal: No Solution
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[24, 39], Operations: ['82-29=53', '53-14=39']
Exploring Operation: 24+39=63, Resulting Numbers: [63]
63,43 unequal: No Solution
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[82, 24, 43], Operations: ['29+14=43']
Exploring Operation: 82-43=39, Resulting Numbers: [24, 39]
Generated Node #0,1,0: 43:[24, 39] Operation: 82-43=39
Exploring Operation: 82-24=58, Resulting Numbers: [43, 58]
Generated Node #0,1,1: 43:[43, 58] Operation: 82-24=58
Moving to Node #0,1,1
Current State: 43:[43, 58], Operations: ['29+14=43', '82-24=58']
Exploring Operation: 58-43=15, Resulting Numbers: [15]
15,43 unequal: No Solution
Exploring Operation: 43+58=101, Resulting Numbers: [101]
101,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[24, 39], Operations: ['29+14=43', '82-43=39']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,43 unequal: No Solution
Exploring Operation: 24+39=63, Resulting Numbers: [63]
63,43 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 |
[
30,
20,
25,
93
] | 58 | [
"30-20=10",
"93-25=68",
"68-10=58"
] | Current State: 58:[30, 20, 25, 93], Operations: []
Exploring Operation: 30-20=10, Resulting Numbers: [25, 93, 10]
Generated Node #2: [25, 93, 10] from Operation: 30-20=10
Current State: 58:[25, 93, 10], Operations: ['30-20=10']
Exploring Operation: 93-25=68, Resulting Numbers: [10, 68]
Generated Node #3: [10, 68] from Operation: 93-25=68
Current State: 58:[10, 68], Operations: ['30-20=10', '93-25=68']
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[30, 20, 25, 93], Operations: []
Exploring Operation: 93-30=63, Resulting Numbers: [20, 25, 63]
Generated Node #0,0: 58:[20, 25, 63] Operation: 93-30=63
Exploring Operation: 25-20=5, Resulting Numbers: [30, 93, 5]
Generated Node #0,1: 58:[30, 93, 5] Operation: 25-20=5
Exploring Operation: 30+20=50, Resulting Numbers: [25, 93, 50]
Generated Node #0,2: 58:[25, 93, 50] Operation: 30+20=50
Exploring Operation: 93-20=73, Resulting Numbers: [30, 25, 73]
Generated Node #0,3: 58:[30, 25, 73] Operation: 93-20=73
Exploring Operation: 93-25=68, Resulting Numbers: [30, 20, 68]
Generated Node #0,4: 58:[30, 20, 68] Operation: 93-25=68
Moving to Node #0,0
Current State: 58:[20, 25, 63], Operations: ['93-30=63']
Exploring Operation: 63-25=38, Resulting Numbers: [20, 38]
Generated Node #0,0,0: 58:[20, 38] Operation: 63-25=38
Exploring Operation: 20+63=83, Resulting Numbers: [25, 83]
Generated Node #0,0,1: 58:[25, 83] Operation: 20+63=83
Exploring Operation: 63-20=43, Resulting Numbers: [25, 43]
Generated Node #0,0,2: 58:[25, 43] Operation: 63-20=43
Exploring Operation: 25-20=5, Resulting Numbers: [63, 5]
Generated Node #0,0,3: 58:[63, 5] Operation: 25-20=5
Exploring Operation: 20+25=45, Resulting Numbers: [63, 45]
Generated Node #0,0,4: 58:[63, 45] Operation: 20+25=45
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 58:[63, 5], Operations: ['93-30=63', '25-20=5']
Exploring Operation: 63*5=315, Resulting Numbers: [315]
315,58 unequal: No Solution
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[30, 20, 25, 93], Operations: []
Exploring Operation: 93-30=63, Resulting Numbers: [20, 25, 63]
Generated Node #0,0: 58:[20, 25, 63] Operation: 93-30=63
Moving to Node #0,0
Current State: 58:[20, 25, 63], Operations: ['93-30=63']
Exploring Operation: 25-20=5, Resulting Numbers: [63, 5]
Generated Node #0,0,3: 58:[63, 5] Operation: 25-20=5
Moving to Node #0,0,3
Current State: 58:[63, 5], Operations: ['93-30=63', '25-20=5']
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
12,
79,
66,
69
] | 70 | [
"79-12=67",
"69-66=3",
"67+3=70"
] | Current State: 70:[12, 79, 66, 69], Operations: []
Exploring Operation: 79-12=67, Resulting Numbers: [66, 69, 67]
Generated Node #2: [66, 69, 67] from Operation: 79-12=67
Current State: 70:[66, 69, 67], Operations: ['79-12=67']
Exploring Operation: 69-66=3, Resulting Numbers: [67, 3]
Generated Node #3: [67, 3] from Operation: 69-66=3
Current State: 70:[67, 3], Operations: ['79-12=67', '69-66=3']
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[12, 79, 66, 69], Operations: []
Exploring Operation: 79-66=13, Resulting Numbers: [12, 69, 13]
Generated Node #0,0: 70:[12, 69, 13] Operation: 79-66=13
Exploring Operation: 79-12=67, Resulting Numbers: [66, 69, 67]
Generated Node #0,1: 70:[66, 69, 67] Operation: 79-12=67
Exploring Operation: 79-69=10, Resulting Numbers: [12, 66, 10]
Generated Node #0,2: 70:[12, 66, 10] Operation: 79-69=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[12, 69, 13], Operations: ['79-66=13']
Exploring Operation: 12+69=81, Resulting Numbers: [13, 81]
Generated Node #0,0,0: 70:[13, 81] Operation: 12+69=81
Exploring Operation: 13-12=1, Resulting Numbers: [69, 1]
Generated Node #0,0,1: 70:[69, 1] Operation: 13-12=1
Exploring Operation: 12+13=25, Resulting Numbers: [69, 25]
Generated Node #0,0,2: 70:[69, 25] Operation: 12+13=25
Moving to Node #0,0,1
Current State: 70:[69, 1], Operations: ['79-66=13', '13-12=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[12, 79, 66, 69], Operations: []
Exploring Operation: 79-66=13, Resulting Numbers: [12, 69, 13]
Generated Node #0,0: 70:[12, 69, 13] Operation: 79-66=13
Moving to Node #0,0
Current State: 70:[12, 69, 13], Operations: ['79-66=13']
Exploring Operation: 13-12=1, Resulting Numbers: [69, 1]
Generated Node #0,0,1: 70:[69, 1] Operation: 13-12=1
Moving to Node #0,0,1
Current State: 70:[69, 1], Operations: ['79-66=13', '13-12=1']
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
16,
18,
94,
96
] | 49 | [
"18-16=2",
"94/2=47",
"96-47=49"
] | Current State: 49:[16, 18, 94, 96], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [94, 96, 2]
Generated Node #2: [94, 96, 2] from Operation: 18-16=2
Current State: 49:[94, 96, 2], Operations: ['18-16=2']
Exploring Operation: 94/2=47, Resulting Numbers: [96, 47]
Generated Node #3: [96, 47] from Operation: 94/2=47
Current State: 49:[96, 47], Operations: ['18-16=2', '94/2=47']
Exploring Operation: 96-47=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[16, 18, 94, 96], Operations: []
Exploring Operation: 94-18=76, Resulting Numbers: [16, 96, 76]
Generated Node #0,0: 49:[16, 96, 76] Operation: 94-18=76
Exploring Operation: 96/16=6, Resulting Numbers: [18, 94, 6]
Generated Node #0,1: 49:[18, 94, 6] Operation: 96/16=6
Exploring Operation: 96-94=2, Resulting Numbers: [16, 18, 2]
Generated Node #0,2: 49:[16, 18, 2] Operation: 96-94=2
Moving to Node #0,2
Current State: 49:[16, 18, 2], Operations: ['96-94=2']
Exploring Operation: 18/2=9, Resulting Numbers: [16, 9]
Generated Node #0,2,0: 49:[16, 9] Operation: 18/2=9
Exploring Operation: 16/2=8, Resulting Numbers: [18, 8]
Generated Node #0,2,1: 49:[18, 8] Operation: 16/2=8
Exploring Operation: 18-16=2, Resulting Numbers: [2, 2]
Generated Node #0,2,2: 49:[2, 2] Operation: 18-16=2
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[2, 2], Operations: ['96-94=2', '18-16=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 49:[16, 9], Operations: ['96-94=2', '18/2=9']
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Exploring Operation: 16*9=144, Resulting Numbers: [144]
144,49 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 49:[18, 8], Operations: ['96-94=2', '16/2=8']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,49 unequal: No Solution
Exploring Operation: 18*8=144, Resulting Numbers: [144]
144,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 49:[18, 94, 6], Operations: ['96/16=6']
Exploring Operation: 18/6=3, Resulting Numbers: [94, 3]
Generated Node #0,1,0: 49:[94, 3] Operation: 18/6=3
Exploring Operation: 94-18=76, Resulting Numbers: [6, 76]
Generated Node #0,1,1: 49:[6, 76] Operation: 94-18=76
Exploring Operation: 18-6=12, Resulting Numbers: [94, 12]
Generated Node #0,1,2: 49:[94, 12] Operation: 18-6=12
Moving to Node #0,0
Current State: 49:[16, 96, 76], Operations: ['94-18=76']
Exploring Operation: 96/16=6, Resulting Numbers: [76, 6]
Generated Node #0,0,0: 49:[76, 6] Operation: 96/16=6
Exploring Operation: 96-16=80, Resulting Numbers: [76, 80]
Generated Node #0,0,1: 49:[76, 80] Operation: 96-16=80
Exploring Operation: 96-76=20, Resulting Numbers: [16, 20]
Generated Node #0,0,2: 49:[16, 20] Operation: 96-76=20
Moving to Node #0,0,2
Current State: 49:[16, 20], Operations: ['94-18=76', '96-76=20']
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 16*20=320, Resulting Numbers: [320]
320,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[6, 76], Operations: ['96/16=6', '94-18=76']
Exploring Operation: 6+76=82, Resulting Numbers: [82]
82,49 unequal: No Solution
Exploring Operation: 6*76=456, Resulting Numbers: [456]
456,49 unequal: No Solution
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[76, 6], Operations: ['94-18=76', '96/16=6']
Exploring Operation: 76*6=456, Resulting Numbers: [456]
456,49 unequal: No Solution
Exploring Operation: 76+6=82, Resulting Numbers: [82]
82,49 unequal: No Solution
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[94, 3], Operations: ['96/16=6', '18/6=3']
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,49 unequal: No Solution
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,49 unequal: No Solution
Exploring Operation: 94*3=282, Resulting Numbers: [282]
282,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[94, 12], Operations: ['96/16=6', '18-6=12']
Exploring Operation: 94-12=82, Resulting Numbers: [82]
82,49 unequal: No Solution
Exploring Operation: 94+12=106, Resulting Numbers: [106]
106,49 unequal: No Solution
Exploring Operation: 94*12=1128, Resulting Numbers: [1128]
1128,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[76, 80], Operations: ['94-18=76', '96-16=80']
Exploring Operation: 76*80=6080, Resulting Numbers: [6080]
6080,49 unequal: No Solution
Exploring Operation: 80-76=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 76+80=156, Resulting Numbers: [156]
156,49 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
8,
20,
56,
60
] | 40 | [
"8*20=160",
"60-56=4",
"160/4=40"
] | Current State: 40:[8, 20, 56, 60], Operations: []
Exploring Operation: 8*20=160, Resulting Numbers: [56, 60, 160]
Generated Node #2: [56, 60, 160] from Operation: 8*20=160
Current State: 40:[56, 60, 160], Operations: ['8*20=160']
Exploring Operation: 60-56=4, Resulting Numbers: [160, 4]
Generated Node #3: [160, 4] from Operation: 60-56=4
Current State: 40:[160, 4], Operations: ['8*20=160', '60-56=4']
Exploring Operation: 160/4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[8, 20, 56, 60], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [20, 60, 7]
Generated Node #0,0: 40:[20, 60, 7] Operation: 56/8=7
Exploring Operation: 60/20=3, Resulting Numbers: [8, 56, 3]
Generated Node #0,1: 40:[8, 56, 3] Operation: 60/20=3
Exploring Operation: 56-20=36, Resulting Numbers: [8, 60, 36]
Generated Node #0,2: 40:[8, 60, 36] Operation: 56-20=36
Exploring Operation: 60-20=40, Resulting Numbers: [8, 56, 40]
Generated Node #0,3: 40:[8, 56, 40] Operation: 60-20=40
Exploring Operation: 60-56=4, Resulting Numbers: [8, 20, 4]
Generated Node #0,4: 40:[8, 20, 4] Operation: 60-56=4
Moving to Node #0,4
Current State: 40:[8, 20, 4], Operations: ['60-56=4']
Exploring Operation: 20-8=12, Resulting Numbers: [4, 12]
Generated Node #0,4,0: 40:[4, 12] Operation: 20-8=12
Exploring Operation: 8+4=12, Resulting Numbers: [20, 12]
Generated Node #0,4,1: 40:[20, 12] Operation: 8+4=12
Exploring Operation: 20/4=5, Resulting Numbers: [8, 5]
Generated Node #0,4,2: 40:[8, 5] Operation: 20/4=5
Exploring Operation: 8-4=4, Resulting Numbers: [20, 4]
Generated Node #0,4,3: 40:[20, 4] Operation: 8-4=4
Exploring Operation: 8/4=2, Resulting Numbers: [20, 2]
Generated Node #0,4,4: 40:[20, 2] Operation: 8/4=2
Moving to Node #0,3
Current State: 40:[8, 56, 40], Operations: ['60-20=40']
Exploring Operation: 56/8=7, Resulting Numbers: [40, 7]
Generated Node #0,3,0: 40:[40, 7] Operation: 56/8=7
Exploring Operation: 8+56=64, Resulting Numbers: [40, 64]
Generated Node #0,3,1: 40:[40, 64] Operation: 8+56=64
Exploring Operation: 40/8=5, Resulting Numbers: [56, 5]
Generated Node #0,3,2: 40:[56, 5] Operation: 40/8=5
Exploring Operation: 56-8=48, Resulting Numbers: [40, 48]
Generated Node #0,3,3: 40:[40, 48] Operation: 56-8=48
Exploring Operation: 56-40=16, Resulting Numbers: [8, 16]
Generated Node #0,3,4: 40:[8, 16] Operation: 56-40=16
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 40:[40, 7], Operations: ['60-20=40', '56/8=7']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Exploring Operation: 40*7=280, Resulting Numbers: [280]
280,40 unequal: No Solution
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,40 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 #0,3,4
Current State: 40:[8, 16], Operations: ['60-20=40', '56-40=16']
Exploring Operation: 8+16=24, Resulting Numbers: [24]
24,40 unequal: No Solution
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 8*16=128, Resulting Numbers: [128]
128,40 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 #0,3,3
Current State: 40:[40, 48], Operations: ['60-20=40', '56-8=48']
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 40+48=88, Resulting Numbers: [88]
88,40 unequal: No Solution
Exploring Operation: 40*48=1920, Resulting Numbers: [1920]
1920,40 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 #0,3,2
Current State: 40:[56, 5], Operations: ['60-20=40', '40/8=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,40 unequal: No Solution
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,40 unequal: No Solution
Exploring Operation: 56*5=280, Resulting Numbers: [280]
280,40 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 #0,3,1
Current State: 40:[40, 64], Operations: ['60-20=40', '8+56=64']
Exploring Operation: 40*64=2560, Resulting Numbers: [2560]
2560,40 unequal: No Solution
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,40 unequal: No Solution
Exploring Operation: 40+64=104, Resulting Numbers: [104]
104,40 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: 40:[8, 56, 3], Operations: ['60/20=3']
Exploring Operation: 56-3=53, Resulting Numbers: [8, 53]
Generated Node #0,1,0: 40:[8, 53] Operation: 56-3=53
Exploring Operation: 8+3=11, Resulting Numbers: [56, 11]
Generated Node #0,1,1: 40:[56, 11] Operation: 8+3=11
Exploring Operation: 56/8=7, Resulting Numbers: [3, 7]
Generated Node #0,1,2: 40:[3, 7] Operation: 56/8=7
Exploring Operation: 56-8=48, Resulting Numbers: [3, 48]
Generated Node #0,1,3: 40:[3, 48] Operation: 56-8=48
Exploring Operation: 8-3=5, Resulting Numbers: [56, 5]
Generated Node #0,1,4: 40:[56, 5] Operation: 8-3=5
Moving to Node #0,0
Current State: 40:[20, 60, 7], Operations: ['56/8=7']
Exploring Operation: 60-20=40, Resulting Numbers: [7, 40]
Generated Node #0,0,0: 40:[7, 40] Operation: 60-20=40
Exploring Operation: 60/20=3, Resulting Numbers: [7, 3]
Generated Node #0,0,1: 40:[7, 3] Operation: 60/20=3
Exploring Operation: 20+7=27, Resulting Numbers: [60, 27]
Generated Node #0,0,2: 40:[60, 27] Operation: 20+7=27
Exploring Operation: 60-7=53, Resulting Numbers: [20, 53]
Generated Node #0,0,3: 40:[20, 53] Operation: 60-7=53
Exploring Operation: 20-7=13, Resulting Numbers: [60, 13]
Generated Node #0,0,4: 40:[60, 13] Operation: 20-7=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[7, 40], Operations: ['56/8=7', '60-20=40']
Exploring Operation: 7*40=280, Resulting Numbers: [280]
280,40 unequal: No Solution
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Exploring Operation: 7+40=47, Resulting Numbers: [47]
47,40 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 #0,0,1
Current State: 40:[7, 3], Operations: ['56/8=7', '60/20=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,40 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 #0,0,3
Current State: 40:[20, 53], Operations: ['56/8=7', '60-7=53']
Exploring Operation: 20*53=1060, Resulting Numbers: [1060]
1060,40 unequal: No Solution
Exploring Operation: 20+53=73, Resulting Numbers: [73]
73,40 unequal: No Solution
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,40 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 #0,0,4
Current State: 40:[60, 13], Operations: ['56/8=7', '20-7=13']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 60*13=780, Resulting Numbers: [780]
780,40 unequal: No Solution
Exploring Operation: 60+13=73, Resulting Numbers: [73]
73,40 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 #0,0,2
Current State: 40:[60, 27], Operations: ['56/8=7', '20+7=27']
Exploring Operation: 60-27=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Exploring Operation: 60+27=87, Resulting Numbers: [87]
87,40 unequal: No Solution
Exploring Operation: 60*27=1620, Resulting Numbers: [1620]
1620,40 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: 40:[8, 60, 36], Operations: ['56-20=36']
Exploring Operation: 60-8=52, Resulting Numbers: [36, 52]
Generated Node #0,2,0: 40:[36, 52] Operation: 60-8=52
Exploring Operation: 8+60=68, Resulting Numbers: [36, 68]
Generated Node #0,2,1: 40:[36, 68] Operation: 8+60=68
Exploring Operation: 8+36=44, Resulting Numbers: [60, 44]
Generated Node #0,2,2: 40:[60, 44] Operation: 8+36=44
Exploring Operation: 36-8=28, Resulting Numbers: [60, 28]
Generated Node #0,2,3: 40:[60, 28] Operation: 36-8=28
Exploring Operation: 60-36=24, Resulting Numbers: [8, 24]
Generated Node #0,2,4: 40:[8, 24] Operation: 60-36=24
Moving to Node #0,4,2
Current State: 40:[8, 5], Operations: ['60-56=4', '20/4=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,40 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[8, 20, 56, 60], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [8, 20, 4]
Generated Node #0,4: 40:[8, 20, 4] Operation: 60-56=4
Moving to Node #0,4
Current State: 40:[8, 20, 4], Operations: ['60-56=4']
Exploring Operation: 20/4=5, Resulting Numbers: [8, 5]
Generated Node #0,4,2: 40:[8, 5] Operation: 20/4=5
Moving to Node #0,4,2
Current State: 40:[8, 5], Operations: ['60-56=4', '20/4=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.94184 | hs_5 | mult_heuristic |
[
99,
58,
46,
12
] | 45 | [
"58-46=12",
"12*12=144",
"144-99=45"
] | Current State: 45:[99, 58, 46, 12], Operations: []
Exploring Operation: 58-46=12, Resulting Numbers: [99, 12, 12]
Generated Node #2: [99, 12, 12] from Operation: 58-46=12
Current State: 45:[99, 12, 12], Operations: ['58-46=12']
Exploring Operation: 12*12=144, Resulting Numbers: [99, 144]
Generated Node #3: [99, 144] from Operation: 12*12=144
Current State: 45:[99, 144], Operations: ['58-46=12', '12*12=144']
Exploring Operation: 144-99=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[99, 58, 46, 12], Operations: []
Exploring Operation: 99-46=53, Resulting Numbers: [58, 12, 53]
Generated Node #0,0: 45:[58, 12, 53] Operation: 99-46=53
Exploring Operation: 99-58=41, Resulting Numbers: [46, 12, 41]
Generated Node #0,1: 45:[46, 12, 41] Operation: 99-58=41
Moving to Node #0,1
Current State: 45:[46, 12, 41], Operations: ['99-58=41']
Exploring Operation: 12+41=53, Resulting Numbers: [46, 53]
Generated Node #0,1,0: 45:[46, 53] Operation: 12+41=53
Exploring Operation: 46-41=5, Resulting Numbers: [12, 5]
Generated Node #0,1,1: 45:[12, 5] Operation: 46-41=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[12, 5], Operations: ['99-58=41', '46-41=5']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,45 unequal: No Solution
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,45 unequal: No Solution
No 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: 45:[46, 53], Operations: ['99-58=41', '12+41=53']
Exploring Operation: 46+53=99, Resulting Numbers: [99]
99,45 unequal: No Solution
Exploring Operation: 53-46=7, Resulting Numbers: [7]
7,45 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: 45:[58, 12, 53], Operations: ['99-46=53']
Exploring Operation: 58-53=5, Resulting Numbers: [12, 5]
Generated Node #0,0,0: 45:[12, 5] Operation: 58-53=5
Exploring Operation: 58-12=46, Resulting Numbers: [53, 46]
Generated Node #0,0,1: 45:[53, 46] Operation: 58-12=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[12, 5], Operations: ['99-46=53', '58-53=5']
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,45 unequal: No Solution
No 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: 45:[53, 46], Operations: ['99-46=53', '58-12=46']
Exploring Operation: 53+46=99, Resulting Numbers: [99]
99,45 unequal: No Solution
Exploring Operation: 53-46=7, Resulting Numbers: [7]
7,45 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 |
[
78,
4,
12,
40
] | 80 | [
"78+12=90",
"40/4=10",
"90-10=80"
] | Current State: 80:[78, 4, 12, 40], Operations: []
Exploring Operation: 78+12=90, Resulting Numbers: [4, 40, 90]
Generated Node #2: [4, 40, 90] from Operation: 78+12=90
Current State: 80:[4, 40, 90], Operations: ['78+12=90']
Exploring Operation: 40/4=10, Resulting Numbers: [90, 10]
Generated Node #3: [90, 10] from Operation: 40/4=10
Current State: 80:[90, 10], Operations: ['78+12=90', '40/4=10']
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[78, 4, 12, 40], Operations: []
Exploring Operation: 12-4=8, Resulting Numbers: [78, 40, 8]
Generated Node #0,0: 80:[78, 40, 8] Operation: 12-4=8
Exploring Operation: 78+4=82, Resulting Numbers: [12, 40, 82]
Generated Node #0,1: 80:[12, 40, 82] Operation: 78+4=82
Exploring Operation: 12/4=3, Resulting Numbers: [78, 40, 3]
Generated Node #0,2: 80:[78, 40, 3] Operation: 12/4=3
Exploring Operation: 4+12=16, Resulting Numbers: [78, 40, 16]
Generated Node #0,3: 80:[78, 40, 16] Operation: 4+12=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[78, 40, 8], Operations: ['12-4=8']
Exploring Operation: 78-8=70, Resulting Numbers: [40, 70]
Generated Node #0,0,0: 80:[40, 70] Operation: 78-8=70
Exploring Operation: 78+8=86, Resulting Numbers: [40, 86]
Generated Node #0,0,1: 80:[40, 86] Operation: 78+8=86
Exploring Operation: 40/8=5, Resulting Numbers: [78, 5]
Generated Node #0,0,2: 80:[78, 5] Operation: 40/8=5
Exploring Operation: 78-40=38, Resulting Numbers: [8, 38]
Generated Node #0,0,3: 80:[8, 38] Operation: 78-40=38
Moving to Node #0,0,2
Current State: 80:[78, 5], Operations: ['12-4=8', '40/8=5']
Exploring Operation: 78+5=83, Resulting Numbers: [83]
83,80 unequal: No Solution
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,80 unequal: No Solution
Exploring Operation: 78*5=390, Resulting Numbers: [390]
390,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[8, 38], Operations: ['12-4=8', '78-40=38']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 8*38=304, Resulting Numbers: [304]
304,80 unequal: No Solution
Exploring Operation: 8+38=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[40, 86], Operations: ['12-4=8', '78+8=86']
Exploring Operation: 40*86=3440, Resulting Numbers: [3440]
3440,80 unequal: No Solution
Exploring Operation: 40+86=126, Resulting Numbers: [126]
126,80 unequal: No Solution
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[40, 70], Operations: ['12-4=8', '78-8=70']
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 40+70=110, Resulting Numbers: [110]
110,80 unequal: No Solution
Exploring Operation: 40*70=2800, Resulting Numbers: [2800]
2800,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 80:[78, 40, 16], Operations: ['4+12=16']
Exploring Operation: 78+16=94, Resulting Numbers: [40, 94]
Generated Node #0,3,0: 80:[40, 94] Operation: 78+16=94
Exploring Operation: 78-16=62, Resulting Numbers: [40, 62]
Generated Node #0,3,1: 80:[40, 62] Operation: 78-16=62
Exploring Operation: 40-16=24, Resulting Numbers: [78, 24]
Generated Node #0,3,2: 80:[78, 24] Operation: 40-16=24
Exploring Operation: 78-40=38, Resulting Numbers: [16, 38]
Generated Node #0,3,3: 80:[16, 38] Operation: 78-40=38
Moving to Node #0,3,3
Current State: 80:[16, 38], Operations: ['4+12=16', '78-40=38']
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,80 unequal: No Solution
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[78, 24], Operations: ['4+12=16', '40-16=24']
Exploring Operation: 78+24=102, Resulting Numbers: [102]
102,80 unequal: No Solution
Exploring Operation: 78*24=1872, Resulting Numbers: [1872]
1872,80 unequal: No Solution
Exploring Operation: 78-24=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[40, 94], Operations: ['4+12=16', '78+16=94']
Exploring Operation: 40+94=134, Resulting Numbers: [134]
134,80 unequal: No Solution
Exploring Operation: 40*94=3760, Resulting Numbers: [3760]
3760,80 unequal: No Solution
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[40, 62], Operations: ['4+12=16', '78-16=62']
Exploring Operation: 40+62=102, Resulting Numbers: [102]
102,80 unequal: No Solution
Exploring Operation: 62-40=22, Resulting Numbers: [22]
22,80 unequal: No Solution
Exploring Operation: 40*62=2480, Resulting Numbers: [2480]
2480,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[78, 40, 3], Operations: ['12/4=3']
Exploring Operation: 78-3=75, Resulting Numbers: [40, 75]
Generated Node #0,2,0: 80:[40, 75] Operation: 78-3=75
Exploring Operation: 40+3=43, Resulting Numbers: [78, 43]
Generated Node #0,2,1: 80:[78, 43] Operation: 40+3=43
Exploring Operation: 78+3=81, Resulting Numbers: [40, 81]
Generated Node #0,2,2: 80:[40, 81] Operation: 78+3=81
Exploring Operation: 78-40=38, Resulting Numbers: [3, 38]
Generated Node #0,2,3: 80:[3, 38] Operation: 78-40=38
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 80:[40, 81], Operations: ['12/4=3', '78+3=81']
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 40*81=3240, Resulting Numbers: [3240]
3240,80 unequal: No Solution
Exploring Operation: 40+81=121, Resulting Numbers: [121]
121,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 80:[3, 38], Operations: ['12/4=3', '78-40=38']
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,80 unequal: No Solution
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 80:[40, 75], Operations: ['12/4=3', '78-3=75']
Exploring Operation: 40*75=3000, Resulting Numbers: [3000]
3000,80 unequal: No Solution
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Exploring Operation: 40+75=115, Resulting Numbers: [115]
115,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 80:[78, 43], Operations: ['12/4=3', '40+3=43']
Exploring Operation: 78*43=3354, Resulting Numbers: [3354]
3354,80 unequal: No Solution
Exploring Operation: 78+43=121, Resulting Numbers: [121]
121,80 unequal: No Solution
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[12, 40, 82], Operations: ['78+4=82']
Exploring Operation: 12+40=52, Resulting Numbers: [82, 52]
Generated Node #0,1,0: 80:[82, 52] Operation: 12+40=52
Exploring Operation: 82-40=42, Resulting Numbers: [12, 42]
Generated Node #0,1,1: 80:[12, 42] Operation: 82-40=42
Exploring Operation: 82-12=70, Resulting Numbers: [40, 70]
Generated Node #0,1,2: 80:[40, 70] Operation: 82-12=70
Exploring Operation: 40-12=28, Resulting Numbers: [82, 28]
Generated Node #0,1,3: 80:[82, 28] Operation: 40-12=28
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 80:[12, 42], Operations: ['78+4=82', '82-40=42']
Exploring Operation: 12+42=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 12*42=504, Resulting Numbers: [504]
504,80 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 80:[40, 70], Operations: ['78+4=82', '82-12=70']
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 40+70=110, Resulting Numbers: [110]
110,80 unequal: No Solution
Exploring Operation: 40*70=2800, Resulting Numbers: [2800]
2800,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 80:[82, 28], Operations: ['78+4=82', '40-12=28']
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 82+28=110, Resulting Numbers: [110]
110,80 unequal: No Solution
Exploring Operation: 82*28=2296, Resulting Numbers: [2296]
2296,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 80:[82, 52], Operations: ['78+4=82', '12+40=52']
Exploring Operation: 82-52=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 82*52=4264, Resulting Numbers: [4264]
4264,80 unequal: No Solution
Exploring Operation: 82+52=134, Resulting Numbers: [134]
134,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
58,
10,
90,
66
] | 88 | [
"58+10=68",
"90+66=156",
"156-68=88"
] | Current State: 88:[58, 10, 90, 66], Operations: []
Exploring Operation: 58+10=68, Resulting Numbers: [90, 66, 68]
Generated Node #2: [90, 66, 68] from Operation: 58+10=68
Current State: 88:[90, 66, 68], Operations: ['58+10=68']
Exploring Operation: 90+66=156, Resulting Numbers: [68, 156]
Generated Node #3: [68, 156] from Operation: 90+66=156
Current State: 88:[68, 156], Operations: ['58+10=68', '90+66=156']
Exploring Operation: 156-68=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[58, 10, 90, 66], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [10, 90, 8]
Generated Node #0,0: 88:[10, 90, 8] Operation: 66-58=8
Exploring Operation: 90-66=24, Resulting Numbers: [58, 10, 24]
Generated Node #0,1: 88:[58, 10, 24] Operation: 90-66=24
Exploring Operation: 58-10=48, Resulting Numbers: [90, 66, 48]
Generated Node #0,2: 88:[90, 66, 48] Operation: 58-10=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[10, 90, 8], Operations: ['66-58=8']
Exploring Operation: 90/10=9, Resulting Numbers: [8, 9]
Generated Node #0,0,0: 88:[8, 9] Operation: 90/10=9
Exploring Operation: 10+8=18, Resulting Numbers: [90, 18]
Generated Node #0,0,1: 88:[90, 18] Operation: 10+8=18
Exploring Operation: 10-8=2, Resulting Numbers: [90, 2]
Generated Node #0,0,2: 88:[90, 2] Operation: 10-8=2
Moving to Node #0,0,0
Current State: 88:[8, 9], Operations: ['66-58=8', '90/10=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,88 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,88 unequal: No Solution
Moving to Node #0,0,2
Current State: 88:[90, 2], Operations: ['66-58=8', '10-8=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,88 unequal: No Solution
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,88 unequal: No Solution
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[58, 10, 90, 66], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [10, 90, 8]
Generated Node #0,0: 88:[10, 90, 8] Operation: 66-58=8
Moving to Node #0,0
Current State: 88:[10, 90, 8], Operations: ['66-58=8']
Exploring Operation: 10-8=2, Resulting Numbers: [90, 2]
Generated Node #0,0,2: 88:[90, 2] Operation: 10-8=2
Moving to Node #0,0,2
Current State: 88:[90, 2], Operations: ['66-58=8', '10-8=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
2,
60,
7,
26
] | 62 | [
"2*60=120",
"7*26=182",
"182-120=62"
] | Current State: 62:[2, 60, 7, 26], Operations: []
Exploring Operation: 2*60=120, Resulting Numbers: [7, 26, 120]
Generated Node #2: [7, 26, 120] from Operation: 2*60=120
Current State: 62:[7, 26, 120], Operations: ['2*60=120']
Exploring Operation: 7*26=182, Resulting Numbers: [120, 182]
Generated Node #3: [120, 182] from Operation: 7*26=182
Current State: 62:[120, 182], Operations: ['2*60=120', '7*26=182']
Exploring Operation: 182-120=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[2, 60, 7, 26], Operations: []
Exploring Operation: 7-2=5, Resulting Numbers: [60, 26, 5]
Generated Node #0,0: 62:[60, 26, 5] Operation: 7-2=5
Exploring Operation: 7+26=33, Resulting Numbers: [2, 60, 33]
Generated Node #0,1: 62:[2, 60, 33] Operation: 7+26=33
Exploring Operation: 2+60=62, Resulting Numbers: [7, 26, 62]
Generated Node #0,2: 62:[7, 26, 62] Operation: 2+60=62
Exploring Operation: 60-26=34, Resulting Numbers: [2, 7, 34]
Generated Node #0,3: 62:[2, 7, 34] Operation: 60-26=34
Moving to Node #0,1
Current State: 62:[2, 60, 33], Operations: ['7+26=33']
Exploring Operation: 60/2=30, Resulting Numbers: [33, 30]
Generated Node #0,1,0: 62:[33, 30] Operation: 60/2=30
Exploring Operation: 60-33=27, Resulting Numbers: [2, 27]
Generated Node #0,1,1: 62:[2, 27] Operation: 60-33=27
Exploring Operation: 2+60=62, Resulting Numbers: [33, 62]
Generated Node #0,1,2: 62:[33, 62] Operation: 2+60=62
Exploring Operation: 33-2=31, Resulting Numbers: [60, 31]
Generated Node #0,1,3: 62:[60, 31] Operation: 33-2=31
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[33, 62], Operations: ['7+26=33', '2+60=62']
Exploring Operation: 33*62=2046, Resulting Numbers: [2046]
2046,62 unequal: No Solution
Exploring Operation: 62-33=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 33+62=95, Resulting Numbers: [95]
95,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 62:[60, 31], Operations: ['7+26=33', '33-2=31']
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 60*31=1860, Resulting Numbers: [1860]
1860,62 unequal: No Solution
Exploring Operation: 60+31=91, Resulting Numbers: [91]
91,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[33, 30], Operations: ['7+26=33', '60/2=30']
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 33+30=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 33*30=990, Resulting Numbers: [990]
990,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[2, 27], Operations: ['7+26=33', '60-33=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,62 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 62:[2, 7, 34], Operations: ['60-26=34']
Exploring Operation: 34-7=27, Resulting Numbers: [2, 27]
Generated Node #0,3,0: 62:[2, 27] Operation: 34-7=27
Exploring Operation: 2+7=9, Resulting Numbers: [34, 9]
Generated Node #0,3,1: 62:[34, 9] Operation: 2+7=9
Exploring Operation: 34-2=32, Resulting Numbers: [7, 32]
Generated Node #0,3,2: 62:[7, 32] Operation: 34-2=32
Exploring Operation: 7-2=5, Resulting Numbers: [34, 5]
Generated Node #0,3,3: 62:[34, 5] Operation: 7-2=5
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 62:[2, 27], Operations: ['60-26=34', '34-7=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,62 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 62:[7, 32], Operations: ['60-26=34', '34-2=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,62 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 62:[34, 5], Operations: ['60-26=34', '7-2=5']
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,62 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 62:[34, 9], Operations: ['60-26=34', '2+7=9']
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,62 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,62 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: 62:[7, 26, 62], Operations: ['2+60=62']
Exploring Operation: 26-7=19, Resulting Numbers: [62, 19]
Generated Node #0,2,0: 62:[62, 19] Operation: 26-7=19
Exploring Operation: 7+62=69, Resulting Numbers: [26, 69]
Generated Node #0,2,1: 62:[26, 69] Operation: 7+62=69
Exploring Operation: 7+26=33, Resulting Numbers: [62, 33]
Generated Node #0,2,2: 62:[62, 33] Operation: 7+26=33
Exploring Operation: 62-26=36, Resulting Numbers: [7, 36]
Generated Node #0,2,3: 62:[7, 36] Operation: 62-26=36
Moving to Node #0,0
Current State: 62:[60, 26, 5], Operations: ['7-2=5']
Exploring Operation: 60-26=34, Resulting Numbers: [5, 34]
Generated Node #0,0,0: 62:[5, 34] Operation: 60-26=34
Exploring Operation: 26+5=31, Resulting Numbers: [60, 31]
Generated Node #0,0,1: 62:[60, 31] Operation: 26+5=31
Exploring Operation: 60+5=65, Resulting Numbers: [26, 65]
Generated Node #0,0,2: 62:[26, 65] Operation: 60+5=65
Exploring Operation: 60-5=55, Resulting Numbers: [26, 55]
Generated Node #0,0,3: 62:[26, 55] Operation: 60-5=55
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[60, 31], Operations: ['7-2=5', '26+5=31']
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 60*31=1860, Resulting Numbers: [1860]
1860,62 unequal: No Solution
Exploring Operation: 60+31=91, Resulting Numbers: [91]
91,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[5, 34], Operations: ['7-2=5', '60-26=34']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 5+34=39, Resulting Numbers: [39]
39,62 unequal: No Solution
Exploring Operation: 5*34=170, Resulting Numbers: [170]
170,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[26, 65], Operations: ['7-2=5', '60+5=65']
Exploring Operation: 26+65=91, Resulting Numbers: [91]
91,62 unequal: No Solution
Exploring Operation: 65-26=39, Resulting Numbers: [39]
39,62 unequal: No Solution
Exploring Operation: 26*65=1690, Resulting Numbers: [1690]
1690,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 62:[26, 55], Operations: ['7-2=5', '60-5=55']
Exploring Operation: 26*55=1430, Resulting Numbers: [1430]
1430,62 unequal: No Solution
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 26+55=81, Resulting Numbers: [81]
81,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 62:[62, 33], Operations: ['2+60=62', '7+26=33']
Exploring Operation: 62-33=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 62*33=2046, Resulting Numbers: [2046]
2046,62 unequal: No Solution
Exploring Operation: 62+33=95, Resulting Numbers: [95]
95,62 unequal: No Solution
Moving to Node #0,2,3
Current State: 62:[7, 36], Operations: ['2+60=62', '62-26=36']
Exploring Operation: 7*36=252, Resulting Numbers: [252]
252,62 unequal: No Solution
Exploring Operation: 7+36=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Moving to Node #0,2,1
Current State: 62:[26, 69], Operations: ['2+60=62', '7+62=69']
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,62 unequal: No Solution
Exploring Operation: 26*69=1794, Resulting Numbers: [1794]
1794,62 unequal: No Solution
Moving to Node #0,2,0
Current State: 62:[62, 19], Operations: ['2+60=62', '26-7=19']
Exploring Operation: 62+19=81, Resulting Numbers: [81]
81,62 unequal: No Solution
Exploring Operation: 62*19=1178, Resulting Numbers: [1178]
1178,62 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,62 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
58,
22,
10,
52
] | 11 | [
"58+52=110",
"110/10=11",
"22-11=11"
] | Current State: 11:[58, 22, 10, 52], Operations: []
Exploring Operation: 58+52=110, Resulting Numbers: [22, 10, 110]
Generated Node #2: [22, 10, 110] from Operation: 58+52=110
Current State: 11:[22, 10, 110], Operations: ['58+52=110']
Exploring Operation: 110/10=11, Resulting Numbers: [22, 11]
Generated Node #3: [22, 11] from Operation: 110/10=11
Current State: 11:[22, 11], Operations: ['58+52=110', '110/10=11']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[58, 22, 10, 52], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [22, 10, 6]
Generated Node #0,0: 11:[22, 10, 6] Operation: 58-52=6
Exploring Operation: 58-10=48, Resulting Numbers: [22, 52, 48]
Generated Node #0,1: 11:[22, 52, 48] Operation: 58-10=48
Exploring Operation: 58-22=36, Resulting Numbers: [10, 52, 36]
Generated Node #0,2: 11:[10, 52, 36] Operation: 58-22=36
Exploring Operation: 52-22=30, Resulting Numbers: [58, 10, 30]
Generated Node #0,3: 11:[58, 10, 30] Operation: 52-22=30
Exploring Operation: 22-10=12, Resulting Numbers: [58, 52, 12]
Generated Node #0,4: 11:[58, 52, 12] Operation: 22-10=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[22, 10, 6], Operations: ['58-52=6']
Exploring Operation: 22+6=28, Resulting Numbers: [10, 28]
Generated Node #0,0,0: 11:[10, 28] Operation: 22+6=28
Exploring Operation: 10+6=16, Resulting Numbers: [22, 16]
Generated Node #0,0,1: 11:[22, 16] Operation: 10+6=16
Exploring Operation: 10-6=4, Resulting Numbers: [22, 4]
Generated Node #0,0,2: 11:[22, 4] Operation: 10-6=4
Exploring Operation: 22-6=16, Resulting Numbers: [10, 16]
Generated Node #0,0,3: 11:[10, 16] Operation: 22-6=16
Exploring Operation: 22-10=12, Resulting Numbers: [6, 12]
Generated Node #0,0,4: 11:[6, 12] Operation: 22-10=12
Moving to Node #0,0,3
Current State: 11:[10, 16], Operations: ['58-52=6', '22-6=16']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,11 unequal: No Solution
Moving to Node #0,0,4
Current State: 11:[6, 12], Operations: ['58-52=6', '22-10=12']
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,11 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[22, 16], Operations: ['58-52=6', '10+6=16']
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,11 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[10, 28], Operations: ['58-52=6', '22+6=28']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,11 unequal: No Solution
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[22, 4], Operations: ['58-52=6', '10-6=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,11 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[10, 52, 36], Operations: ['58-22=36']
Exploring Operation: 10+36=46, Resulting Numbers: [52, 46]
Generated Node #0,2,0: 11:[52, 46] Operation: 10+36=46
Exploring Operation: 10+52=62, Resulting Numbers: [36, 62]
Generated Node #0,2,1: 11:[36, 62] Operation: 10+52=62
Exploring Operation: 52-10=42, Resulting Numbers: [36, 42]
Generated Node #0,2,2: 11:[36, 42] Operation: 52-10=42
Exploring Operation: 36-10=26, Resulting Numbers: [52, 26]
Generated Node #0,2,3: 11:[52, 26] Operation: 36-10=26
Exploring Operation: 52-36=16, Resulting Numbers: [10, 16]
Generated Node #0,2,4: 11:[10, 16] Operation: 52-36=16
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 11:[10, 16], Operations: ['58-22=36', '52-36=16']
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,11 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,11 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 #0,2,2
Current State: 11:[36, 42], Operations: ['58-22=36', '52-10=42']
Exploring Operation: 42-36=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 36*42=1512, Resulting Numbers: [1512]
1512,11 unequal: No Solution
Exploring Operation: 36+42=78, Resulting Numbers: [78]
78,11 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 #0,2,3
Current State: 11:[52, 26], Operations: ['58-22=36', '36-10=26']
Exploring Operation: 52+26=78, Resulting Numbers: [78]
78,11 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 52*26=1352, Resulting Numbers: [1352]
1352,11 unequal: No Solution
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,11 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 #0,2,0
Current State: 11:[52, 46], Operations: ['58-22=36', '10+36=46']
Exploring Operation: 52+46=98, Resulting Numbers: [98]
98,11 unequal: No Solution
Exploring Operation: 52-46=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 52*46=2392, Resulting Numbers: [2392]
2392,11 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 #0,2,1
Current State: 11:[36, 62], Operations: ['58-22=36', '10+52=62']
Exploring Operation: 36*62=2232, Resulting Numbers: [2232]
2232,11 unequal: No Solution
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Exploring Operation: 36+62=98, Resulting Numbers: [98]
98,11 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 #0,3
Current State: 11:[58, 10, 30], Operations: ['52-22=30']
Exploring Operation: 30/10=3, Resulting Numbers: [58, 3]
Generated Node #0,3,0: 11:[58, 3] Operation: 30/10=3
Exploring Operation: 58+10=68, Resulting Numbers: [30, 68]
Generated Node #0,3,1: 11:[30, 68] Operation: 58+10=68
Exploring Operation: 30-10=20, Resulting Numbers: [58, 20]
Generated Node #0,3,2: 11:[58, 20] Operation: 30-10=20
Exploring Operation: 58-10=48, Resulting Numbers: [30, 48]
Generated Node #0,3,3: 11:[30, 48] Operation: 58-10=48
Exploring Operation: 58-30=28, Resulting Numbers: [10, 28]
Generated Node #0,3,4: 11:[10, 28] Operation: 58-30=28
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 11:[10, 28], Operations: ['52-22=30', '58-30=28']
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,11 unequal: No Solution
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,11 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 #0,3,0
Current State: 11:[58, 3], Operations: ['52-22=30', '30/10=3']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,11 unequal: No Solution
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,11 unequal: No Solution
Exploring Operation: 58*3=174, Resulting Numbers: [174]
174,11 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 #0,3,2
Current State: 11:[58, 20], Operations: ['52-22=30', '30-10=20']
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,11 unequal: No Solution
Exploring Operation: 58*20=1160, Resulting Numbers: [1160]
1160,11 unequal: No Solution
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,11 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 #0,3,3
Current State: 11:[30, 48], Operations: ['52-22=30', '58-10=48']
Exploring Operation: 30+48=78, Resulting Numbers: [78]
78,11 unequal: No Solution
Exploring Operation: 30*48=1440, Resulting Numbers: [1440]
1440,11 unequal: No Solution
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,11 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 #0,3,1
Current State: 11:[30, 68], Operations: ['52-22=30', '58+10=68']
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 30*68=2040, Resulting Numbers: [2040]
2040,11 unequal: No Solution
Exploring Operation: 30+68=98, Resulting Numbers: [98]
98,11 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:[22, 52, 48], Operations: ['58-10=48']
Exploring Operation: 52-48=4, Resulting Numbers: [22, 4]
Generated Node #0,1,0: 11:[22, 4] Operation: 52-48=4
Exploring Operation: 52-22=30, Resulting Numbers: [48, 30]
Generated Node #0,1,1: 11:[48, 30] Operation: 52-22=30
Exploring Operation: 48-22=26, Resulting Numbers: [52, 26]
Generated Node #0,1,2: 11:[52, 26] Operation: 48-22=26
Exploring Operation: 22+52=74, Resulting Numbers: [48, 74]
Generated Node #0,1,3: 11:[48, 74] Operation: 22+52=74
Exploring Operation: 22+48=70, Resulting Numbers: [52, 70]
Generated Node #0,1,4: 11:[52, 70] Operation: 22+48=70
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[22, 4], Operations: ['58-10=48', '52-48=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,11 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:[48, 30], Operations: ['58-10=48', '52-22=30']
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 48*30=1440, Resulting Numbers: [1440]
1440,11 unequal: No Solution
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,11 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 #0,1,2
Current State: 11:[52, 26], Operations: ['58-10=48', '48-22=26']
Exploring Operation: 52*26=1352, Resulting Numbers: [1352]
1352,11 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 52+26=78, Resulting Numbers: [78]
78,11 unequal: No Solution
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,11 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 #0,1,3
Current State: 11:[48, 74], Operations: ['58-10=48', '22+52=74']
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Exploring Operation: 48+74=122, Resulting Numbers: [122]
122,11 unequal: No Solution
Exploring Operation: 48*74=3552, Resulting Numbers: [3552]
3552,11 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 #0,1,4
Current State: 11:[52, 70], Operations: ['58-10=48', '22+48=70']
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 52*70=3640, Resulting Numbers: [3640]
3640,11 unequal: No Solution
Exploring Operation: 52+70=122, Resulting Numbers: [122]
122,11 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 #0,4
Current State: 11:[58, 52, 12], Operations: ['22-10=12']
Exploring Operation: 58-52=6, Resulting Numbers: [12, 6]
Generated Node #0,4,0: 11:[12, 6] Operation: 58-52=6
Exploring Operation: 52-12=40, Resulting Numbers: [58, 40]
Generated Node #0,4,1: 11:[58, 40] Operation: 52-12=40
Exploring Operation: 58+12=70, Resulting Numbers: [52, 70]
Generated Node #0,4,2: 11:[52, 70] Operation: 58+12=70
Exploring Operation: 58-12=46, Resulting Numbers: [52, 46]
Generated Node #0,4,3: 11:[52, 46] Operation: 58-12=46
Exploring Operation: 58+52=110, Resulting Numbers: [12, 110]
Generated Node #0,4,4: 11:[12, 110] Operation: 58+52=110
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 11:[12, 6], Operations: ['22-10=12', '58-52=6']
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,11 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,11 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 #0,4,1
Current State: 11:[58, 40], Operations: ['22-10=12', '52-12=40']
Exploring Operation: 58*40=2320, Resulting Numbers: [2320]
2320,11 unequal: No Solution
Exploring Operation: 58+40=98, Resulting Numbers: [98]
98,11 unequal: No Solution
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,11 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 #0,4,3
Current State: 11:[52, 46], Operations: ['22-10=12', '58-12=46']
Exploring Operation: 52*46=2392, Resulting Numbers: [2392]
2392,11 unequal: No Solution
Exploring Operation: 52+46=98, Resulting Numbers: [98]
98,11 unequal: No Solution
Exploring Operation: 52-46=6, Resulting Numbers: [6]
6,11 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 #0,4,2
Current State: 11:[52, 70], Operations: ['22-10=12', '58+12=70']
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 52+70=122, Resulting Numbers: [122]
122,11 unequal: No Solution
Exploring Operation: 52*70=3640, Resulting Numbers: [3640]
3640,11 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 #0,4,4
Current State: 11:[12, 110], Operations: ['22-10=12', '58+52=110']
Exploring Operation: 110-12=98, Resulting Numbers: [98]
98,11 unequal: No Solution
Exploring Operation: 12*110=1320, Resulting Numbers: [1320]
1320,11 unequal: No Solution
Exploring Operation: 12+110=122, Resulting Numbers: [122]
122,11 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_5 | mult_heuristic |
[
18,
44,
22,
63
] | 90 | [
"63-18=45",
"44/22=2",
"45*2=90"
] | Current State: 90:[18, 44, 22, 63], Operations: []
Exploring Operation: 63-18=45, Resulting Numbers: [44, 22, 45]
Generated Node #2: [44, 22, 45] from Operation: 63-18=45
Current State: 90:[44, 22, 45], Operations: ['63-18=45']
Exploring Operation: 44/22=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 44/22=2
Current State: 90:[45, 2], Operations: ['63-18=45', '44/22=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[18, 44, 22, 63], Operations: []
Exploring Operation: 22+63=85, Resulting Numbers: [18, 44, 85]
Generated Node #0,0: 90:[18, 44, 85] Operation: 22+63=85
Exploring Operation: 63-22=41, Resulting Numbers: [18, 44, 41]
Generated Node #0,1: 90:[18, 44, 41] Operation: 63-22=41
Exploring Operation: 63-44=19, Resulting Numbers: [18, 22, 19]
Generated Node #0,2: 90:[18, 22, 19] Operation: 63-44=19
Exploring Operation: 63-18=45, Resulting Numbers: [44, 22, 45]
Generated Node #0,3: 90:[44, 22, 45] Operation: 63-18=45
Moving to Node #0,1
Current State: 90:[18, 44, 41], Operations: ['63-22=41']
Exploring Operation: 44-18=26, Resulting Numbers: [41, 26]
Generated Node #0,1,0: 90:[41, 26] Operation: 44-18=26
Exploring Operation: 44-41=3, Resulting Numbers: [18, 3]
Generated Node #0,1,1: 90:[18, 3] Operation: 44-41=3
Exploring Operation: 44+41=85, Resulting Numbers: [18, 85]
Generated Node #0,1,2: 90:[18, 85] Operation: 44+41=85
Exploring Operation: 41-18=23, Resulting Numbers: [44, 23]
Generated Node #0,1,3: 90:[44, 23] Operation: 41-18=23
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[18, 3], Operations: ['63-22=41', '44-41=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,90 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,90 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,90 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 90:[18, 85], Operations: ['63-22=41', '44+41=85']
Exploring Operation: 18+85=103, Resulting Numbers: [103]
103,90 unequal: No Solution
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,90 unequal: No Solution
Exploring Operation: 18*85=1530, Resulting Numbers: [1530]
1530,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 90:[44, 23], Operations: ['63-22=41', '41-18=23']
Exploring Operation: 44+23=67, Resulting Numbers: [67]
67,90 unequal: No Solution
Exploring Operation: 44*23=1012, Resulting Numbers: [1012]
1012,90 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[41, 26], Operations: ['63-22=41', '44-18=26']
Exploring Operation: 41*26=1066, Resulting Numbers: [1066]
1066,90 unequal: No Solution
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,90 unequal: No Solution
Exploring Operation: 41+26=67, Resulting Numbers: [67]
67,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 90:[44, 22, 45], Operations: ['63-18=45']
Exploring Operation: 44-22=22, Resulting Numbers: [45, 22]
Generated Node #0,3,0: 90:[45, 22] Operation: 44-22=22
Exploring Operation: 44/22=2, Resulting Numbers: [45, 2]
Generated Node #0,3,1: 90:[45, 2] Operation: 44/22=2
Exploring Operation: 45-44=1, Resulting Numbers: [22, 1]
Generated Node #0,3,2: 90:[22, 1] Operation: 45-44=1
Exploring Operation: 44+45=89, Resulting Numbers: [22, 89]
Generated Node #0,3,3: 90:[22, 89] Operation: 44+45=89
Moving to Node #0,2
Current State: 90:[18, 22, 19], Operations: ['63-44=19']
Exploring Operation: 22+19=41, Resulting Numbers: [18, 41]
Generated Node #0,2,0: 90:[18, 41] Operation: 22+19=41
Exploring Operation: 22-19=3, Resulting Numbers: [18, 3]
Generated Node #0,2,1: 90:[18, 3] Operation: 22-19=3
Exploring Operation: 22-18=4, Resulting Numbers: [19, 4]
Generated Node #0,2,2: 90:[19, 4] Operation: 22-18=4
Exploring Operation: 19-18=1, Resulting Numbers: [22, 1]
Generated Node #0,2,3: 90:[22, 1] Operation: 19-18=1
Moving to Node #0,0
Current State: 90:[18, 44, 85], Operations: ['22+63=85']
Exploring Operation: 44-18=26, Resulting Numbers: [85, 26]
Generated Node #0,0,0: 90:[85, 26] Operation: 44-18=26
Exploring Operation: 18+44=62, Resulting Numbers: [85, 62]
Generated Node #0,0,1: 90:[85, 62] Operation: 18+44=62
Exploring Operation: 18+85=103, Resulting Numbers: [44, 103]
Generated Node #0,0,2: 90:[44, 103] Operation: 18+85=103
Exploring Operation: 85-44=41, Resulting Numbers: [18, 41]
Generated Node #0,0,3: 90:[18, 41] Operation: 85-44=41
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 90:[18, 41], Operations: ['22+63=85', '85-44=41']
Exploring Operation: 41-18=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 18*41=738, Resulting Numbers: [738]
738,90 unequal: No Solution
Exploring Operation: 18+41=59, Resulting Numbers: [59]
59,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[85, 26], Operations: ['22+63=85', '44-18=26']
Exploring Operation: 85+26=111, Resulting Numbers: [111]
111,90 unequal: No Solution
Exploring Operation: 85*26=2210, Resulting Numbers: [2210]
2210,90 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 90:[44, 103], Operations: ['22+63=85', '18+85=103']
Exploring Operation: 44+103=147, Resulting Numbers: [147]
147,90 unequal: No Solution
Exploring Operation: 44*103=4532, Resulting Numbers: [4532]
4532,90 unequal: No Solution
Exploring Operation: 103-44=59, Resulting Numbers: [59]
59,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 90:[85, 62], Operations: ['22+63=85', '18+44=62']
Exploring Operation: 85+62=147, Resulting Numbers: [147]
147,90 unequal: No Solution
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 85*62=5270, Resulting Numbers: [5270]
5270,90 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: 90:[45, 2], Operations: ['63-18=45', '44/22=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,90 unequal: No Solution
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[18, 44, 22, 63], Operations: []
Exploring Operation: 63-18=45, Resulting Numbers: [44, 22, 45]
Generated Node #0,3: 90:[44, 22, 45] Operation: 63-18=45
Moving to Node #0,3
Current State: 90:[44, 22, 45], Operations: ['63-18=45']
Exploring Operation: 44/22=2, Resulting Numbers: [45, 2]
Generated Node #0,3,1: 90:[45, 2] Operation: 44/22=2
Moving to Node #0,3,1
Current State: 90:[45, 2], Operations: ['63-18=45', '44/22=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 0.955729 | hs_4 | mult_heuristic |
[
21,
65,
28,
84
] | 56 | [
"21+65=86",
"86-84=2",
"28*2=56"
] | Current State: 56:[21, 65, 28, 84], Operations: []
Exploring Operation: 21+65=86, Resulting Numbers: [28, 84, 86]
Generated Node #2: [28, 84, 86] from Operation: 21+65=86
Current State: 56:[28, 84, 86], Operations: ['21+65=86']
Exploring Operation: 86-84=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 86-84=2
Current State: 56:[28, 2], Operations: ['21+65=86', '86-84=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[21, 65, 28, 84], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [65, 28, 4]
Generated Node #0,0: 56:[65, 28, 4] Operation: 84/21=4
Exploring Operation: 84-65=19, Resulting Numbers: [21, 28, 19]
Generated Node #0,1: 56:[21, 28, 19] Operation: 84-65=19
Exploring Operation: 84-21=63, Resulting Numbers: [65, 28, 63]
Generated Node #0,2: 56:[65, 28, 63] Operation: 84-21=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[65, 28, 4], Operations: ['84/21=4']
Exploring Operation: 28/4=7, Resulting Numbers: [65, 7]
Generated Node #0,0,0: 56:[65, 7] Operation: 28/4=7
Exploring Operation: 65-28=37, Resulting Numbers: [4, 37]
Generated Node #0,0,1: 56:[4, 37] Operation: 65-28=37
Exploring Operation: 65-4=61, Resulting Numbers: [28, 61]
Generated Node #0,0,2: 56:[28, 61] Operation: 65-4=61
Moving to Node #0,0,2
Current State: 56:[28, 61], Operations: ['84/21=4', '65-4=61']
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,56 unequal: No Solution
Exploring Operation: 28*61=1708, Resulting Numbers: [1708]
1708,56 unequal: No Solution
Exploring Operation: 28+61=89, Resulting Numbers: [89]
89,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[65, 7], Operations: ['84/21=4', '28/4=7']
Exploring Operation: 65*7=455, Resulting Numbers: [455]
455,56 unequal: No Solution
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 65+7=72, Resulting Numbers: [72]
72,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[4, 37], Operations: ['84/21=4', '65-28=37']
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,56 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,56 unequal: No Solution
Exploring Operation: 4*37=148, Resulting Numbers: [148]
148,56 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:[21, 28, 19], Operations: ['84-65=19']
Exploring Operation: 21-19=2, Resulting Numbers: [28, 2]
Generated Node #0,1,0: 56:[28, 2] Operation: 21-19=2
Exploring Operation: 28-19=9, Resulting Numbers: [21, 9]
Generated Node #0,1,1: 56:[21, 9] Operation: 28-19=9
Exploring Operation: 28-21=7, Resulting Numbers: [19, 7]
Generated Node #0,1,2: 56:[19, 7] Operation: 28-21=7
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 56:[28, 2], Operations: ['84-65=19', '21-19=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[21, 65, 28, 84], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [21, 28, 19]
Generated Node #0,1: 56:[21, 28, 19] Operation: 84-65=19
Moving to Node #0,1
Current State: 56:[21, 28, 19], Operations: ['84-65=19']
Exploring Operation: 21-19=2, Resulting Numbers: [28, 2]
Generated Node #0,1,0: 56:[28, 2] Operation: 21-19=2
Moving to Node #0,1,0
Current State: 56:[28, 2], Operations: ['84-65=19', '21-19=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_3 | sum_heuristic |
[
24,
2,
76,
19
] | 62 | [
"24+76=100",
"2*19=38",
"100-38=62"
] | Current State: 62:[24, 2, 76, 19], Operations: []
Exploring Operation: 24+76=100, Resulting Numbers: [2, 19, 100]
Generated Node #2: [2, 19, 100] from Operation: 24+76=100
Current State: 62:[2, 19, 100], Operations: ['24+76=100']
Exploring Operation: 2*19=38, Resulting Numbers: [100, 38]
Generated Node #3: [100, 38] from Operation: 2*19=38
Current State: 62:[100, 38], Operations: ['24+76=100', '2*19=38']
Exploring Operation: 100-38=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[24, 2, 76, 19], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [24, 2, 4]
Generated Node #0,0: 62:[24, 2, 4] Operation: 76/19=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[24, 2, 4], Operations: ['76/19=4']
Exploring Operation: 24+4=28, Resulting Numbers: [2, 28]
Generated Node #0,0,0: 62:[2, 28] Operation: 24+4=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[2, 28], Operations: ['76/19=4', '24+4=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,62 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 |
[
17,
99,
45,
58
] | 13 | [
"17+99=116",
"45+58=103",
"116-103=13"
] | Current State: 13:[17, 99, 45, 58], Operations: []
Exploring Operation: 17+99=116, Resulting Numbers: [45, 58, 116]
Generated Node #2: [45, 58, 116] from Operation: 17+99=116
Current State: 13:[45, 58, 116], Operations: ['17+99=116']
Exploring Operation: 45+58=103, Resulting Numbers: [116, 103]
Generated Node #3: [116, 103] from Operation: 45+58=103
Current State: 13:[116, 103], Operations: ['17+99=116', '45+58=103']
Exploring Operation: 116-103=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[17, 99, 45, 58], Operations: []
Exploring Operation: 58-45=13, Resulting Numbers: [17, 99, 13]
Generated Node #0,0: 13:[17, 99, 13] Operation: 58-45=13
Exploring Operation: 99-17=82, Resulting Numbers: [45, 58, 82]
Generated Node #0,1: 13:[45, 58, 82] Operation: 99-17=82
Exploring Operation: 99-45=54, Resulting Numbers: [17, 58, 54]
Generated Node #0,2: 13:[17, 58, 54] Operation: 99-45=54
Exploring Operation: 99-58=41, Resulting Numbers: [17, 45, 41]
Generated Node #0,3: 13:[17, 45, 41] Operation: 99-58=41
Start Sub Search at level 1: Moving to Node #0,3
Current State: 13:[17, 45, 41], Operations: ['99-58=41']
Exploring Operation: 41-17=24, Resulting Numbers: [45, 24]
Generated Node #0,3,0: 13:[45, 24] Operation: 41-17=24
Exploring Operation: 45-41=4, Resulting Numbers: [17, 4]
Generated Node #0,3,1: 13:[17, 4] Operation: 45-41=4
Exploring Operation: 17+45=62, Resulting Numbers: [41, 62]
Generated Node #0,3,2: 13:[41, 62] Operation: 17+45=62
Exploring Operation: 45-17=28, Resulting Numbers: [41, 28]
Generated Node #0,3,3: 13:[41, 28] Operation: 45-17=28
Moving to Node #0,3,1
Current State: 13:[17, 4], Operations: ['99-58=41', '45-41=4']
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,13 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[17, 99, 45, 58], Operations: []
Exploring Operation: 99-58=41, Resulting Numbers: [17, 45, 41]
Generated Node #0,3: 13:[17, 45, 41] Operation: 99-58=41
Moving to Node #0,3
Current State: 13:[17, 45, 41], Operations: ['99-58=41']
Exploring Operation: 45-41=4, Resulting Numbers: [17, 4]
Generated Node #0,3,1: 13:[17, 4] Operation: 45-41=4
Moving to Node #0,3,1
Current State: 13:[17, 4], Operations: ['99-58=41', '45-41=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
66,
24,
18,
27
] | 60 | [
"66+24=90",
"18*90=1620",
"1620/27=60"
] | Current State: 60:[66, 24, 18, 27], Operations: []
Exploring Operation: 66+24=90, Resulting Numbers: [18, 27, 90]
Generated Node #2: [18, 27, 90] from Operation: 66+24=90
Current State: 60:[18, 27, 90], Operations: ['66+24=90']
Exploring Operation: 18*90=1620, Resulting Numbers: [27, 1620]
Generated Node #3: [27, 1620] from Operation: 18*90=1620
Current State: 60:[27, 1620], Operations: ['66+24=90', '18*90=1620']
Exploring Operation: 1620/27=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[66, 24, 18, 27], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [66, 18, 3]
Generated Node #0,0: 60:[66, 18, 3] Operation: 27-24=3
Exploring Operation: 24-18=6, Resulting Numbers: [66, 27, 6]
Generated Node #0,1: 60:[66, 27, 6] Operation: 24-18=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[66, 18, 3], Operations: ['27-24=3']
Exploring Operation: 66/3=22, Resulting Numbers: [18, 22]
Generated Node #0,0,0: 60:[18, 22] Operation: 66/3=22
Exploring Operation: 66-3=63, Resulting Numbers: [18, 63]
Generated Node #0,0,1: 60:[18, 63] Operation: 66-3=63
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[18, 22], Operations: ['27-24=3', '66/3=22']
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 60:[18, 63], Operations: ['27-24=3', '66-3=63']
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,60 unequal: No Solution
Exploring Operation: 18+63=81, Resulting Numbers: [81]
81,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[66, 27, 6], Operations: ['24-18=6']
Exploring Operation: 66/6=11, Resulting Numbers: [27, 11]
Generated Node #0,1,0: 60:[27, 11] Operation: 66/6=11
Exploring Operation: 66-6=60, Resulting Numbers: [27, 60]
Generated Node #0,1,1: 60:[27, 60] Operation: 66-6=60
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[27, 60], Operations: ['24-18=6', '66-6=60']
Exploring Operation: 27+60=87, Resulting Numbers: [87]
87,60 unequal: No Solution
Exploring Operation: 60-27=33, Resulting Numbers: [33]
33,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 60:[27, 11], Operations: ['24-18=6', '66/6=11']
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
58,
9,
76,
94
] | 56 | [
"94-76=18",
"18/9=2",
"58-2=56"
] | Current State: 56:[58, 9, 76, 94], Operations: []
Exploring Operation: 94-76=18, Resulting Numbers: [58, 9, 18]
Generated Node #2: [58, 9, 18] from Operation: 94-76=18
Current State: 56:[58, 9, 18], Operations: ['94-76=18']
Exploring Operation: 18/9=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 18/9=2
Current State: 56:[58, 2], Operations: ['94-76=18', '18/9=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[58, 9, 76, 94], Operations: []
Exploring Operation: 94-76=18, Resulting Numbers: [58, 9, 18]
Generated Node #0,0: 56:[58, 9, 18] Operation: 94-76=18
Exploring Operation: 76-9=67, Resulting Numbers: [58, 94, 67]
Generated Node #0,1: 56:[58, 94, 67] Operation: 76-9=67
Exploring Operation: 94-58=36, Resulting Numbers: [9, 76, 36]
Generated Node #0,2: 56:[9, 76, 36] Operation: 94-58=36
Exploring Operation: 76-58=18, Resulting Numbers: [9, 94, 18]
Generated Node #0,3: 56:[9, 94, 18] Operation: 76-58=18
Exploring Operation: 94-9=85, Resulting Numbers: [58, 76, 85]
Generated Node #0,4: 56:[58, 76, 85] Operation: 94-9=85
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[58, 9, 18], Operations: ['94-76=18']
Exploring Operation: 18/9=2, Resulting Numbers: [58, 2]
Generated Node #0,0,0: 56:[58, 2] Operation: 18/9=2
Exploring Operation: 58-18=40, Resulting Numbers: [9, 40]
Generated Node #0,0,1: 56:[9, 40] Operation: 58-18=40
Exploring Operation: 9+18=27, Resulting Numbers: [58, 27]
Generated Node #0,0,2: 56:[58, 27] Operation: 9+18=27
Exploring Operation: 18-9=9, Resulting Numbers: [58, 9]
Generated Node #0,0,3: 56:[58, 9] Operation: 18-9=9
Exploring Operation: 58-9=49, Resulting Numbers: [18, 49]
Generated Node #0,0,4: 56:[18, 49] Operation: 58-9=49
Moving to Node #0,0,0
Current State: 56:[58, 2], Operations: ['94-76=18', '18/9=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,56 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[58, 9, 76, 94], Operations: []
Exploring Operation: 94-76=18, Resulting Numbers: [58, 9, 18]
Generated Node #0,0: 56:[58, 9, 18] Operation: 94-76=18
Moving to Node #0,0
Current State: 56:[58, 9, 18], Operations: ['94-76=18']
Exploring Operation: 18/9=2, Resulting Numbers: [58, 2]
Generated Node #0,0,0: 56:[58, 2] Operation: 18/9=2
Moving to Node #0,0,0
Current State: 56:[58, 2], Operations: ['94-76=18', '18/9=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
55,
4,
89,
63
] | 87 | [
"63-55=8",
"8/4=2",
"89-2=87"
] | Current State: 87:[55, 4, 89, 63], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [4, 89, 8]
Generated Node #2: [4, 89, 8] from Operation: 63-55=8
Current State: 87:[4, 89, 8], Operations: ['63-55=8']
Exploring Operation: 8/4=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 8/4=2
Current State: 87:[89, 2], Operations: ['63-55=8', '8/4=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[55, 4, 89, 63], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [4, 89, 8]
Generated Node #0,0: 87:[4, 89, 8] Operation: 63-55=8
Exploring Operation: 89-55=34, Resulting Numbers: [4, 63, 34]
Generated Node #0,1: 87:[4, 63, 34] Operation: 89-55=34
Moving to Node #0,0
Current State: 87:[4, 89, 8], Operations: ['63-55=8']
Exploring Operation: 8/4=2, Resulting Numbers: [89, 2]
Generated Node #0,0,0: 87:[89, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [89, 4]
Generated Node #0,0,1: 87:[89, 4] Operation: 8-4=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[89, 2], Operations: ['63-55=8', '8/4=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[55, 4, 89, 63], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [4, 89, 8]
Generated Node #0,0: 87:[4, 89, 8] Operation: 63-55=8
Moving to Node #0,0
Current State: 87:[4, 89, 8], Operations: ['63-55=8']
Exploring Operation: 8/4=2, Resulting Numbers: [89, 2]
Generated Node #0,0,0: 87:[89, 2] Operation: 8/4=2
Moving to Node #0,0,0
Current State: 87:[89, 2], Operations: ['63-55=8', '8/4=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
53,
24,
54,
40
] | 15 | [
"53-24=29",
"54-40=14",
"29-14=15"
] | Current State: 15:[53, 24, 54, 40], Operations: []
Exploring Operation: 53-24=29, Resulting Numbers: [54, 40, 29]
Generated Node #2: [54, 40, 29] from Operation: 53-24=29
Current State: 15:[54, 40, 29], Operations: ['53-24=29']
Exploring Operation: 54-40=14, Resulting Numbers: [29, 14]
Generated Node #3: [29, 14] from Operation: 54-40=14
Current State: 15:[29, 14], Operations: ['53-24=29', '54-40=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[53, 24, 54, 40], Operations: []
Exploring Operation: 54-53=1, Resulting Numbers: [24, 40, 1]
Generated Node #0,0: 15:[24, 40, 1] Operation: 54-53=1
Moving to Node #0,0
Current State: 15:[24, 40, 1], Operations: ['54-53=1']
Exploring Operation: 40-24=16, Resulting Numbers: [1, 16]
Generated Node #0,0,0: 15:[1, 16] Operation: 40-24=16
Moving to Node #0,0,0
Current State: 15:[1, 16], Operations: ['54-53=1', '40-24=16']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[53, 24, 54, 40], Operations: []
Exploring Operation: 54-53=1, Resulting Numbers: [24, 40, 1]
Generated Node #0,0: 15:[24, 40, 1] Operation: 54-53=1
Moving to Node #0,0
Current State: 15:[24, 40, 1], Operations: ['54-53=1']
Exploring Operation: 40-24=16, Resulting Numbers: [1, 16]
Generated Node #0,0,0: 15:[1, 16] Operation: 40-24=16
Moving to Node #0,0,0
Current State: 15:[1, 16], Operations: ['54-53=1', '40-24=16']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
54,
30,
20,
21
] | 40 | [
"20*21=420",
"420/30=14",
"54-14=40"
] | Current State: 40:[54, 30, 20, 21], Operations: []
Exploring Operation: 20*21=420, Resulting Numbers: [54, 30, 420]
Generated Node #2: [54, 30, 420] from Operation: 20*21=420
Current State: 40:[54, 30, 420], Operations: ['20*21=420']
Exploring Operation: 420/30=14, Resulting Numbers: [54, 14]
Generated Node #3: [54, 14] from Operation: 420/30=14
Current State: 40:[54, 14], Operations: ['20*21=420', '420/30=14']
Exploring Operation: 54-14=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[54, 30, 20, 21], Operations: []
Exploring Operation: 54-30=24, Resulting Numbers: [20, 21, 24]
Generated Node #0,0: 40:[20, 21, 24] Operation: 54-30=24
Moving to Node #0,0
Current State: 40:[20, 21, 24], Operations: ['54-30=24']
Exploring Operation: 24-20=4, Resulting Numbers: [21, 4]
Generated Node #0,0,0: 40:[21, 4] Operation: 24-20=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[21, 4], Operations: ['54-30=24', '24-20=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,40 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 |
[
65,
60,
65,
55
] | 15 | [
"65-60=5",
"65-55=10",
"5+10=15"
] | Current State: 15:[65, 60, 65, 55], Operations: []
Exploring Operation: 65-60=5, Resulting Numbers: [55, 5]
Generated Node #2: [55, 5] from Operation: 65-60=5
Current State: 15:[55, 5], Operations: ['65-60=5']
Exploring Operation: 65-55=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 65-55=10
Current State: 15:[5, 10], Operations: ['65-60=5', '65-55=10']
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[65, 60, 65, 55], Operations: []
Exploring Operation: 65-65=0, Resulting Numbers: [60, 55, 0]
Generated Node #0,0: 15:[60, 55, 0] Operation: 65-65=0
Exploring Operation: 65/65=1, Resulting Numbers: [60, 55, 1]
Generated Node #0,1: 15:[60, 55, 1] Operation: 65/65=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[60, 55, 1], Operations: ['65/65=1']
Exploring Operation: 60-55=5, Resulting Numbers: [1, 5]
Generated Node #0,1,0: 15:[1, 5] Operation: 60-55=5
Exploring Operation: 60-1=59, Resulting Numbers: [55, 59]
Generated Node #0,1,1: 15:[55, 59] Operation: 60-1=59
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 15:[1, 5], Operations: ['65/65=1', '60-55=5']
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[55, 59], Operations: ['65/65=1', '60-1=59']
Exploring Operation: 59-55=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 55+59=114, Resulting Numbers: [114]
114,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[60, 55, 0], Operations: ['65-65=0']
Exploring Operation: 60*0=0, Resulting Numbers: [55, 0]
Generated Node #0,0,0: 15:[55, 0] Operation: 60*0=0
Exploring Operation: 60-55=5, Resulting Numbers: [0, 5]
Generated Node #0,0,1: 15:[0, 5] Operation: 60-55=5
Moving to Node #0,0,1
Current State: 15:[0, 5], Operations: ['65-65=0', '60-55=5']
Exploring Operation: 5-0=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 0+5=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[55, 0], Operations: ['65-65=0', '60*0=0']
Exploring Operation: 55+0=55, Resulting Numbers: [55]
55,15 unequal: No Solution
Exploring Operation: 55*0=0, Resulting Numbers: [0]
0,15 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 |
[
25,
77,
13,
72
] | 20 | [
"25*72=1800",
"77+13=90",
"1800/90=20"
] | Current State: 20:[25, 77, 13, 72], Operations: []
Exploring Operation: 25*72=1800, Resulting Numbers: [77, 13, 1800]
Generated Node #2: [77, 13, 1800] from Operation: 25*72=1800
Current State: 20:[77, 13, 1800], Operations: ['25*72=1800']
Exploring Operation: 77+13=90, Resulting Numbers: [1800, 90]
Generated Node #3: [1800, 90] from Operation: 77+13=90
Current State: 20:[1800, 90], Operations: ['25*72=1800', '77+13=90']
Exploring Operation: 1800/90=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[25, 77, 13, 72], Operations: []
Exploring Operation: 77-25=52, Resulting Numbers: [13, 72, 52]
Generated Node #0,0: 20:[13, 72, 52] Operation: 77-25=52
Exploring Operation: 72-25=47, Resulting Numbers: [77, 13, 47]
Generated Node #0,1: 20:[77, 13, 47] Operation: 72-25=47
Exploring Operation: 77-72=5, Resulting Numbers: [25, 13, 5]
Generated Node #0,2: 20:[25, 13, 5] Operation: 77-72=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[25, 13, 5], Operations: ['77-72=5']
Exploring Operation: 25-5=20, Resulting Numbers: [13, 20]
Generated Node #0,2,0: 20:[13, 20] Operation: 25-5=20
Exploring Operation: 25-13=12, Resulting Numbers: [5, 12]
Generated Node #0,2,1: 20:[5, 12] Operation: 25-13=12
Exploring Operation: 25/5=5, Resulting Numbers: [13, 5]
Generated Node #0,2,2: 20:[13, 5] Operation: 25/5=5
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 20:[5, 12], Operations: ['77-72=5', '25-13=12']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 20:[13, 20], Operations: ['77-72=5', '25-5=20']
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,20 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 13*20=260, Resulting Numbers: [260]
260,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 20:[13, 5], Operations: ['77-72=5', '25/5=5']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,20 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[13, 72, 52], Operations: ['77-25=52']
Exploring Operation: 52/13=4, Resulting Numbers: [72, 4]
Generated Node #0,0,0: 20:[72, 4] Operation: 52/13=4
Exploring Operation: 72-52=20, Resulting Numbers: [13, 20]
Generated Node #0,0,1: 20:[13, 20] Operation: 72-52=20
Exploring Operation: 72-13=59, Resulting Numbers: [52, 59]
Generated Node #0,0,2: 20:[52, 59] Operation: 72-13=59
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 20:[13, 20], Operations: ['77-25=52', '72-52=20']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 13*20=260, Resulting Numbers: [260]
260,20 unequal: No Solution
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[72, 4], Operations: ['77-25=52', '52/13=4']
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,20 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 20:[52, 59], Operations: ['77-25=52', '72-13=59']
Exploring Operation: 52+59=111, Resulting Numbers: [111]
111,20 unequal: No Solution
Exploring Operation: 52*59=3068, Resulting Numbers: [3068]
3068,20 unequal: No Solution
Exploring Operation: 59-52=7, Resulting Numbers: [7]
7,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[77, 13, 47], Operations: ['72-25=47']
Exploring Operation: 77-47=30, Resulting Numbers: [13, 30]
Generated Node #0,1,0: 20:[13, 30] Operation: 77-47=30
Exploring Operation: 47-13=34, Resulting Numbers: [77, 34]
Generated Node #0,1,1: 20:[77, 34] Operation: 47-13=34
Exploring Operation: 77-13=64, Resulting Numbers: [47, 64]
Generated Node #0,1,2: 20:[47, 64] Operation: 77-13=64
Moving to Node #0,1,0
Current State: 20:[13, 30], Operations: ['72-25=47', '77-47=30']
Exploring Operation: 13+30=43, Resulting Numbers: [43]
43,20 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 13*30=390, Resulting Numbers: [390]
390,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[77, 34], Operations: ['72-25=47', '47-13=34']
Exploring Operation: 77*34=2618, Resulting Numbers: [2618]
2618,20 unequal: No Solution
Exploring Operation: 77-34=43, Resulting Numbers: [43]
43,20 unequal: No Solution
Exploring Operation: 77+34=111, Resulting Numbers: [111]
111,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[47, 64], Operations: ['72-25=47', '77-13=64']
Exploring Operation: 47*64=3008, Resulting Numbers: [3008]
3008,20 unequal: No Solution
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 47+64=111, Resulting Numbers: [111]
111,20 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 |
[
38,
80,
73,
41
] | 95 | [
"38*80=3040",
"73-41=32",
"3040/32=95"
] | Current State: 95:[38, 80, 73, 41], Operations: []
Exploring Operation: 38*80=3040, Resulting Numbers: [73, 41, 3040]
Generated Node #2: [73, 41, 3040] from Operation: 38*80=3040
Current State: 95:[73, 41, 3040], Operations: ['38*80=3040']
Exploring Operation: 73-41=32, Resulting Numbers: [3040, 32]
Generated Node #3: [3040, 32] from Operation: 73-41=32
Current State: 95:[3040, 32], Operations: ['38*80=3040', '73-41=32']
Exploring Operation: 3040/32=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[38, 80, 73, 41], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [80, 73, 3]
Generated Node #0,0: 95:[80, 73, 3] Operation: 41-38=3
Exploring Operation: 73-41=32, Resulting Numbers: [38, 80, 32]
Generated Node #0,1: 95:[38, 80, 32] Operation: 73-41=32
Exploring Operation: 80-73=7, Resulting Numbers: [38, 41, 7]
Generated Node #0,2: 95:[38, 41, 7] Operation: 80-73=7
Exploring Operation: 38+73=111, Resulting Numbers: [80, 41, 111]
Generated Node #0,3: 95:[80, 41, 111] Operation: 38+73=111
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[80, 73, 3], Operations: ['41-38=3']
Exploring Operation: 80+3=83, Resulting Numbers: [73, 83]
Generated Node #0,0,0: 95:[73, 83] Operation: 80+3=83
Exploring Operation: 80-3=77, Resulting Numbers: [73, 77]
Generated Node #0,0,1: 95:[73, 77] Operation: 80-3=77
Exploring Operation: 73+3=76, Resulting Numbers: [80, 76]
Generated Node #0,0,2: 95:[80, 76] Operation: 73+3=76
Exploring Operation: 80-73=7, Resulting Numbers: [3, 7]
Generated Node #0,0,3: 95:[3, 7] Operation: 80-73=7
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 95:[3, 7], Operations: ['41-38=3', '80-73=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[73, 83], Operations: ['41-38=3', '80+3=83']
Exploring Operation: 73+83=156, Resulting Numbers: [156]
156,95 unequal: No Solution
Exploring Operation: 83-73=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 73*83=6059, Resulting Numbers: [6059]
6059,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 95:[80, 76], Operations: ['41-38=3', '73+3=76']
Exploring Operation: 80*76=6080, Resulting Numbers: [6080]
6080,95 unequal: No Solution
Exploring Operation: 80-76=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 80+76=156, Resulting Numbers: [156]
156,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 95:[73, 77], Operations: ['41-38=3', '80-3=77']
Exploring Operation: 73+77=150, Resulting Numbers: [150]
150,95 unequal: No Solution
Exploring Operation: 73*77=5621, Resulting Numbers: [5621]
5621,95 unequal: No Solution
Exploring Operation: 77-73=4, Resulting Numbers: [4]
4,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[38, 41, 7], Operations: ['80-73=7']
Exploring Operation: 41-38=3, Resulting Numbers: [7, 3]
Generated Node #0,2,0: 95:[7, 3] Operation: 41-38=3
Exploring Operation: 38+41=79, Resulting Numbers: [7, 79]
Generated Node #0,2,1: 95:[7, 79] Operation: 38+41=79
Exploring Operation: 38-7=31, Resulting Numbers: [41, 31]
Generated Node #0,2,2: 95:[41, 31] Operation: 38-7=31
Exploring Operation: 41-7=34, Resulting Numbers: [38, 34]
Generated Node #0,2,3: 95:[38, 34] Operation: 41-7=34
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 95:[7, 3], Operations: ['80-73=7', '41-38=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 95:[7, 79], Operations: ['80-73=7', '38+41=79']
Exploring Operation: 7*79=553, Resulting Numbers: [553]
553,95 unequal: No Solution
Exploring Operation: 7+79=86, Resulting Numbers: [86]
86,95 unequal: No Solution
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 95:[41, 31], Operations: ['80-73=7', '38-7=31']
Exploring Operation: 41+31=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 41*31=1271, Resulting Numbers: [1271]
1271,95 unequal: No Solution
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 95:[38, 34], Operations: ['80-73=7', '41-7=34']
Exploring Operation: 38+34=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 38*34=1292, Resulting Numbers: [1292]
1292,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[38, 80, 32], Operations: ['73-41=32']
Exploring Operation: 80+32=112, Resulting Numbers: [38, 112]
Generated Node #0,1,0: 95:[38, 112] Operation: 80+32=112
Exploring Operation: 80-38=42, Resulting Numbers: [32, 42]
Generated Node #0,1,1: 95:[32, 42] Operation: 80-38=42
Exploring Operation: 38+80=118, Resulting Numbers: [32, 118]
Generated Node #0,1,2: 95:[32, 118] Operation: 38+80=118
Exploring Operation: 38-32=6, Resulting Numbers: [80, 6]
Generated Node #0,1,3: 95:[80, 6] Operation: 38-32=6
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 95:[80, 6], Operations: ['73-41=32', '38-32=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,95 unequal: No Solution
Exploring Operation: 80*6=480, Resulting Numbers: [480]
480,95 unequal: No Solution
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 95:[38, 112], Operations: ['73-41=32', '80+32=112']
Exploring Operation: 38+112=150, Resulting Numbers: [150]
150,95 unequal: No Solution
Exploring Operation: 112-38=74, Resulting Numbers: [74]
74,95 unequal: No Solution
Exploring Operation: 38*112=4256, Resulting Numbers: [4256]
4256,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 95:[32, 42], Operations: ['73-41=32', '80-38=42']
Exploring Operation: 32*42=1344, Resulting Numbers: [1344]
1344,95 unequal: No Solution
Exploring Operation: 32+42=74, Resulting Numbers: [74]
74,95 unequal: No Solution
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 95:[32, 118], Operations: ['73-41=32', '38+80=118']
Exploring Operation: 118-32=86, Resulting Numbers: [86]
86,95 unequal: No Solution
Exploring Operation: 32+118=150, Resulting Numbers: [150]
150,95 unequal: No Solution
Exploring Operation: 32*118=3776, Resulting Numbers: [3776]
3776,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 95:[80, 41, 111], Operations: ['38+73=111']
Exploring Operation: 80-41=39, Resulting Numbers: [111, 39]
Generated Node #0,3,0: 95:[111, 39] Operation: 80-41=39
Exploring Operation: 111-80=31, Resulting Numbers: [41, 31]
Generated Node #0,3,1: 95:[41, 31] Operation: 111-80=31
Exploring Operation: 80+41=121, Resulting Numbers: [111, 121]
Generated Node #0,3,2: 95:[111, 121] Operation: 80+41=121
Exploring Operation: 111-41=70, Resulting Numbers: [80, 70]
Generated Node #0,3,3: 95:[80, 70] Operation: 111-41=70
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 95:[41, 31], Operations: ['38+73=111', '111-80=31']
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 41*31=1271, Resulting Numbers: [1271]
1271,95 unequal: No Solution
Exploring Operation: 41+31=72, Resulting Numbers: [72]
72,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 95:[111, 39], Operations: ['38+73=111', '80-41=39']
Exploring Operation: 111-39=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 111*39=4329, Resulting Numbers: [4329]
4329,95 unequal: No Solution
Exploring Operation: 111+39=150, Resulting Numbers: [150]
150,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 95:[80, 70], Operations: ['38+73=111', '111-41=70']
Exploring Operation: 80+70=150, Resulting Numbers: [150]
150,95 unequal: No Solution
Exploring Operation: 80-70=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 80*70=5600, Resulting Numbers: [5600]
5600,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 95:[111, 121], Operations: ['38+73=111', '80+41=121']
Exploring Operation: 111*121=13431, Resulting Numbers: [13431]
13431,95 unequal: No Solution
Exploring Operation: 121-111=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 111+121=232, Resulting Numbers: [232]
232,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
67,
7,
73,
69
] | 87 | [
"69-67=2",
"7*2=14",
"73+14=87"
] | Current State: 87:[67, 7, 73, 69], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [7, 73, 2]
Generated Node #2: [7, 73, 2] from Operation: 69-67=2
Current State: 87:[7, 73, 2], Operations: ['69-67=2']
Exploring Operation: 7*2=14, Resulting Numbers: [73, 14]
Generated Node #3: [73, 14] from Operation: 7*2=14
Current State: 87:[73, 14], Operations: ['69-67=2', '7*2=14']
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[67, 7, 73, 69], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [7, 73, 2]
Generated Node #0,0: 87:[7, 73, 2] Operation: 69-67=2
Exploring Operation: 73-69=4, Resulting Numbers: [67, 7, 4]
Generated Node #0,1: 87:[67, 7, 4] Operation: 73-69=4
Exploring Operation: 73-67=6, Resulting Numbers: [7, 69, 6]
Generated Node #0,2: 87:[7, 69, 6] Operation: 73-67=6
Exploring Operation: 67+7=74, Resulting Numbers: [73, 69, 74]
Generated Node #0,3: 87:[73, 69, 74] Operation: 67+7=74
Moving to Node #0,0
Current State: 87:[7, 73, 2], Operations: ['69-67=2']
Exploring Operation: 7-2=5, Resulting Numbers: [73, 5]
Generated Node #0,0,0: 87:[73, 5] Operation: 7-2=5
Exploring Operation: 73+2=75, Resulting Numbers: [7, 75]
Generated Node #0,0,1: 87:[7, 75] Operation: 73+2=75
Exploring Operation: 7+2=9, Resulting Numbers: [73, 9]
Generated Node #0,0,2: 87:[73, 9] Operation: 7+2=9
Exploring Operation: 7+73=80, Resulting Numbers: [2, 80]
Generated Node #0,0,3: 87:[2, 80] Operation: 7+73=80
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 87:[2, 80], Operations: ['69-67=2', '7+73=80']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 2*80=160, Resulting Numbers: [160]
160,87 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,87 unequal: No Solution
Exploring Operation: 2+80=82, Resulting Numbers: [82]
82,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[73, 5], Operations: ['69-67=2', '7-2=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Exploring Operation: 73+5=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 73*5=365, Resulting Numbers: [365]
365,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 87:[7, 75], Operations: ['69-67=2', '73+2=75']
Exploring Operation: 7+75=82, Resulting Numbers: [82]
82,87 unequal: No Solution
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Exploring Operation: 7*75=525, Resulting Numbers: [525]
525,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 87:[73, 9], Operations: ['69-67=2', '7+2=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,87 unequal: No Solution
Exploring Operation: 73*9=657, Resulting Numbers: [657]
657,87 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: 87:[7, 69, 6], Operations: ['73-67=6']
Exploring Operation: 7+69=76, Resulting Numbers: [6, 76]
Generated Node #0,2,0: 87:[6, 76] Operation: 7+69=76
Exploring Operation: 69-7=62, Resulting Numbers: [6, 62]
Generated Node #0,2,1: 87:[6, 62] Operation: 69-7=62
Exploring Operation: 69+6=75, Resulting Numbers: [7, 75]
Generated Node #0,2,2: 87:[7, 75] Operation: 69+6=75
Exploring Operation: 7-6=1, Resulting Numbers: [69, 1]
Generated Node #0,2,3: 87:[69, 1] Operation: 7-6=1
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 87:[6, 76], Operations: ['73-67=6', '7+69=76']
Exploring Operation: 6+76=82, Resulting Numbers: [82]
82,87 unequal: No Solution
Exploring Operation: 6*76=456, Resulting Numbers: [456]
456,87 unequal: No Solution
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 87:[7, 75], Operations: ['73-67=6', '69+6=75']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Exploring Operation: 7*75=525, Resulting Numbers: [525]
525,87 unequal: No Solution
Exploring Operation: 7+75=82, Resulting Numbers: [82]
82,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 87:[69, 1], Operations: ['73-67=6', '7-6=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,87 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,87 unequal: No Solution
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 87:[6, 62], Operations: ['73-67=6', '69-7=62']
Exploring Operation: 6*62=372, Resulting Numbers: [372]
372,87 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,87 unequal: No Solution
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,87 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: 87:[67, 7, 4], Operations: ['73-69=4']
Exploring Operation: 7-4=3, Resulting Numbers: [67, 3]
Generated Node #0,1,0: 87:[67, 3] Operation: 7-4=3
Exploring Operation: 67+7=74, Resulting Numbers: [4, 74]
Generated Node #0,1,1: 87:[4, 74] Operation: 67+7=74
Exploring Operation: 67+4=71, Resulting Numbers: [7, 71]
Generated Node #0,1,2: 87:[7, 71] Operation: 67+4=71
Exploring Operation: 7*4=28, Resulting Numbers: [67, 28]
Generated Node #0,1,3: 87:[67, 28] Operation: 7*4=28
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[4, 74], Operations: ['73-69=4', '67+7=74']
Exploring Operation: 4+74=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 4*74=296, Resulting Numbers: [296]
296,87 unequal: No Solution
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[67, 3], Operations: ['73-69=4', '7-4=3']
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,87 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 67*3=201, Resulting Numbers: [201]
201,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[7, 71], Operations: ['73-69=4', '67+4=71']
Exploring Operation: 7*71=497, Resulting Numbers: [497]
497,87 unequal: No Solution
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 7+71=78, Resulting Numbers: [78]
78,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 87:[67, 28], Operations: ['73-69=4', '7*4=28']
Exploring Operation: 67*28=1876, Resulting Numbers: [1876]
1876,87 unequal: No Solution
Exploring Operation: 67+28=95, Resulting Numbers: [95]
95,87 unequal: No Solution
Exploring Operation: 67-28=39, Resulting Numbers: [39]
39,87 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: 87:[73, 69, 74], Operations: ['67+7=74']
Exploring Operation: 73-69=4, Resulting Numbers: [74, 4]
Generated Node #0,3,0: 87:[74, 4] Operation: 73-69=4
Exploring Operation: 73+69=142, Resulting Numbers: [74, 142]
Generated Node #0,3,1: 87:[74, 142] Operation: 73+69=142
Exploring Operation: 74-73=1, Resulting Numbers: [69, 1]
Generated Node #0,3,2: 87:[69, 1] Operation: 74-73=1
Exploring Operation: 74-69=5, Resulting Numbers: [73, 5]
Generated Node #0,3,3: 87:[73, 5] Operation: 74-69=5
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 87:[74, 4], Operations: ['67+7=74', '73-69=4']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,87 unequal: No Solution
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 74*4=296, Resulting Numbers: [296]
296,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 87:[73, 5], Operations: ['67+7=74', '74-69=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Exploring Operation: 73*5=365, Resulting Numbers: [365]
365,87 unequal: No Solution
Exploring Operation: 73+5=78, Resulting Numbers: [78]
78,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 87:[69, 1], Operations: ['67+7=74', '74-73=1']
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,87 unequal: No Solution
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,87 unequal: No Solution
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 87:[74, 142], Operations: ['67+7=74', '73+69=142']
Exploring Operation: 74*142=10508, Resulting Numbers: [10508]
10508,87 unequal: No Solution
Exploring Operation: 74+142=216, Resulting Numbers: [216]
216,87 unequal: No Solution
Exploring Operation: 142-74=68, Resulting Numbers: [68]
68,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
18,
10,
26,
32
] | 48 | [
"18-10=8",
"32-26=6",
"8*6=48"
] | Current State: 48:[18, 10, 26, 32], Operations: []
Exploring Operation: 18-10=8, Resulting Numbers: [26, 32, 8]
Generated Node #2: [26, 32, 8] from Operation: 18-10=8
Current State: 48:[26, 32, 8], Operations: ['18-10=8']
Exploring Operation: 32-26=6, Resulting Numbers: [8, 6]
Generated Node #3: [8, 6] from Operation: 32-26=6
Current State: 48:[8, 6], Operations: ['18-10=8', '32-26=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[18, 10, 26, 32], Operations: []
Exploring Operation: 32-26=6, Resulting Numbers: [18, 10, 6]
Generated Node #0,0: 48:[18, 10, 6] Operation: 32-26=6
Exploring Operation: 18+32=50, Resulting Numbers: [10, 26, 50]
Generated Node #0,1: 48:[10, 26, 50] Operation: 18+32=50
Exploring Operation: 32-18=14, Resulting Numbers: [10, 26, 14]
Generated Node #0,2: 48:[10, 26, 14] Operation: 32-18=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[18, 10, 6], Operations: ['32-26=6']
Exploring Operation: 18-6=12, Resulting Numbers: [10, 12]
Generated Node #0,0,0: 48:[10, 12] Operation: 18-6=12
Exploring Operation: 18+6=24, Resulting Numbers: [10, 24]
Generated Node #0,0,1: 48:[10, 24] Operation: 18+6=24
Exploring Operation: 18-10=8, Resulting Numbers: [6, 8]
Generated Node #0,0,2: 48:[6, 8] Operation: 18-10=8
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 48:[6, 8], Operations: ['32-26=6', '18-10=8']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[18, 10, 26, 32], Operations: []
Exploring Operation: 32-26=6, Resulting Numbers: [18, 10, 6]
Generated Node #0,0: 48:[18, 10, 6] Operation: 32-26=6
Moving to Node #0,0
Current State: 48:[18, 10, 6], Operations: ['32-26=6']
Exploring Operation: 18-10=8, Resulting Numbers: [6, 8]
Generated Node #0,0,2: 48:[6, 8] Operation: 18-10=8
Moving to Node #0,0,2
Current State: 48:[6, 8], Operations: ['32-26=6', '18-10=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
76,
24,
81,
2
] | 67 | [
"76/2=38",
"24+81=105",
"105-38=67"
] | Current State: 67:[76, 24, 81, 2], Operations: []
Exploring Operation: 76/2=38, Resulting Numbers: [24, 81, 38]
Generated Node #2: [24, 81, 38] from Operation: 76/2=38
Current State: 67:[24, 81, 38], Operations: ['76/2=38']
Exploring Operation: 24+81=105, Resulting Numbers: [38, 105]
Generated Node #3: [38, 105] from Operation: 24+81=105
Current State: 67:[38, 105], Operations: ['76/2=38', '24+81=105']
Exploring Operation: 105-38=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[76, 24, 81, 2], Operations: []
Exploring Operation: 24*2=48, Resulting Numbers: [76, 81, 48]
Generated Node #0,0: 67:[76, 81, 48] Operation: 24*2=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[76, 81, 48], Operations: ['24*2=48']
Exploring Operation: 81-48=33, Resulting Numbers: [76, 33]
Generated Node #0,0,0: 67:[76, 33] Operation: 81-48=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[76, 33], Operations: ['24*2=48', '81-48=33']
Exploring Operation: 76-33=43, Resulting Numbers: [43]
43,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
98,
74,
29,
67
] | 15 | [
"74-67=7",
"98/7=14",
"29-14=15"
] | Current State: 15:[98, 74, 29, 67], Operations: []
Exploring Operation: 74-67=7, Resulting Numbers: [98, 29, 7]
Generated Node #2: [98, 29, 7] from Operation: 74-67=7
Current State: 15:[98, 29, 7], Operations: ['74-67=7']
Exploring Operation: 98/7=14, Resulting Numbers: [29, 14]
Generated Node #3: [29, 14] from Operation: 98/7=14
Current State: 15:[29, 14], Operations: ['74-67=7', '98/7=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[98, 74, 29, 67], Operations: []
Exploring Operation: 98-74=24, Resulting Numbers: [29, 67, 24]
Generated Node #0,0: 15:[29, 67, 24] Operation: 98-74=24
Exploring Operation: 98-67=31, Resulting Numbers: [74, 29, 31]
Generated Node #0,1: 15:[74, 29, 31] Operation: 98-67=31
Exploring Operation: 74-67=7, Resulting Numbers: [98, 29, 7]
Generated Node #0,2: 15:[98, 29, 7] Operation: 74-67=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[29, 67, 24], Operations: ['98-74=24']
Exploring Operation: 67-24=43, Resulting Numbers: [29, 43]
Generated Node #0,0,0: 15:[29, 43] Operation: 67-24=43
Exploring Operation: 29-24=5, Resulting Numbers: [67, 5]
Generated Node #0,0,1: 15:[67, 5] Operation: 29-24=5
Exploring Operation: 67-29=38, Resulting Numbers: [24, 38]
Generated Node #0,0,2: 15:[24, 38] Operation: 67-29=38
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 15:[24, 38], Operations: ['98-74=24', '67-29=38']
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 24*38=912, Resulting Numbers: [912]
912,15 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[29, 43], Operations: ['98-74=24', '67-24=43']
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,15 unequal: No Solution
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 29*43=1247, Resulting Numbers: [1247]
1247,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[67, 5], Operations: ['98-74=24', '29-24=5']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 67*5=335, Resulting Numbers: [335]
335,15 unequal: No Solution
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[74, 29, 31], Operations: ['98-67=31']
Exploring Operation: 74-29=45, Resulting Numbers: [31, 45]
Generated Node #0,1,0: 15:[31, 45] Operation: 74-29=45
Exploring Operation: 74-31=43, Resulting Numbers: [29, 43]
Generated Node #0,1,1: 15:[29, 43] Operation: 74-31=43
Exploring Operation: 31-29=2, Resulting Numbers: [74, 2]
Generated Node #0,1,2: 15:[74, 2] Operation: 31-29=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[29, 43], Operations: ['98-67=31', '74-31=43']
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 29*43=1247, Resulting Numbers: [1247]
1247,15 unequal: No Solution
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 15:[31, 45], Operations: ['98-67=31', '74-29=45']
Exploring Operation: 31*45=1395, Resulting Numbers: [1395]
1395,15 unequal: No Solution
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 31+45=76, Resulting Numbers: [76]
76,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 15:[74, 2], Operations: ['98-67=31', '31-29=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,15 unequal: No Solution
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,15 unequal: No Solution
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[98, 29, 7], Operations: ['74-67=7']
Exploring Operation: 98-7=91, Resulting Numbers: [29, 91]
Generated Node #0,2,0: 15:[29, 91] Operation: 98-7=91
Exploring Operation: 98-29=69, Resulting Numbers: [7, 69]
Generated Node #0,2,1: 15:[7, 69] Operation: 98-29=69
Exploring Operation: 98/7=14, Resulting Numbers: [29, 14]
Generated Node #0,2,2: 15:[29, 14] Operation: 98/7=14
Moving to Node #0,2,2
Current State: 15:[29, 14], Operations: ['74-67=7', '98/7=14']
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,15 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[98, 74, 29, 67], Operations: []
Exploring Operation: 74-67=7, Resulting Numbers: [98, 29, 7]
Generated Node #0,2: 15:[98, 29, 7] Operation: 74-67=7
Moving to Node #0,2
Current State: 15:[98, 29, 7], Operations: ['74-67=7']
Exploring Operation: 98/7=14, Resulting Numbers: [29, 14]
Generated Node #0,2,2: 15:[29, 14] Operation: 98/7=14
Moving to Node #0,2,2
Current State: 15:[29, 14], Operations: ['74-67=7', '98/7=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_3 | mult_heuristic |
[
30,
9,
11,
56
] | 88 | [
"30-9=21",
"11+56=67",
"21+67=88"
] | Current State: 88:[30, 9, 11, 56], Operations: []
Exploring Operation: 30-9=21, Resulting Numbers: [11, 56, 21]
Generated Node #2: [11, 56, 21] from Operation: 30-9=21
Current State: 88:[11, 56, 21], Operations: ['30-9=21']
Exploring Operation: 11+56=67, Resulting Numbers: [21, 67]
Generated Node #3: [21, 67] from Operation: 11+56=67
Current State: 88:[21, 67], Operations: ['30-9=21', '11+56=67']
Exploring Operation: 21+67=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[30, 9, 11, 56], Operations: []
Exploring Operation: 56-11=45, Resulting Numbers: [30, 9, 45]
Generated Node #0,0: 88:[30, 9, 45] Operation: 56-11=45
Exploring Operation: 30+56=86, Resulting Numbers: [9, 11, 86]
Generated Node #0,1: 88:[9, 11, 86] Operation: 30+56=86
Exploring Operation: 56-30=26, Resulting Numbers: [9, 11, 26]
Generated Node #0,2: 88:[9, 11, 26] Operation: 56-30=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[9, 11, 86], Operations: ['30+56=86']
Exploring Operation: 9+11=20, Resulting Numbers: [86, 20]
Generated Node #0,1,0: 88:[86, 20] Operation: 9+11=20
Exploring Operation: 9+86=95, Resulting Numbers: [11, 95]
Generated Node #0,1,1: 88:[11, 95] Operation: 9+86=95
Exploring Operation: 11-9=2, Resulting Numbers: [86, 2]
Generated Node #0,1,2: 88:[86, 2] Operation: 11-9=2
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 88:[86, 2], Operations: ['30+56=86', '11-9=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,88 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,88 unequal: No Solution
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[30, 9, 11, 56], Operations: []
Exploring Operation: 30+56=86, Resulting Numbers: [9, 11, 86]
Generated Node #0,1: 88:[9, 11, 86] Operation: 30+56=86
Moving to Node #0,1
Current State: 88:[9, 11, 86], Operations: ['30+56=86']
Exploring Operation: 11-9=2, Resulting Numbers: [86, 2]
Generated Node #0,1,2: 88:[86, 2] Operation: 11-9=2
Moving to Node #0,1,2
Current State: 88:[86, 2], Operations: ['30+56=86', '11-9=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
12,
50,
6,
4
] | 27 | [
"12/6=2",
"50+4=54",
"54/2=27"
] | Current State: 27:[12, 50, 6, 4], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [50, 4, 2]
Generated Node #2: [50, 4, 2] from Operation: 12/6=2
Current State: 27:[50, 4, 2], Operations: ['12/6=2']
Exploring Operation: 50+4=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 50+4=54
Current State: 27:[2, 54], Operations: ['12/6=2', '50+4=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[12, 50, 6, 4], Operations: []
Exploring Operation: 50-12=38, Resulting Numbers: [6, 4, 38]
Generated Node #0,0: 27:[6, 4, 38] Operation: 50-12=38
Moving to Node #0,0
Current State: 27:[6, 4, 38], Operations: ['50-12=38']
Exploring Operation: 38-6=32, Resulting Numbers: [4, 32]
Generated Node #0,0,0: 27:[4, 32] Operation: 38-6=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[4, 32], Operations: ['50-12=38', '38-6=32']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,27 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 |
[
96,
81,
68,
32
] | 16 | [
"96/32=3",
"81-68=13",
"3+13=16"
] | Current State: 16:[96, 81, 68, 32], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [81, 68, 3]
Generated Node #2: [81, 68, 3] from Operation: 96/32=3
Current State: 16:[81, 68, 3], Operations: ['96/32=3']
Exploring Operation: 81-68=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 81-68=13
Current State: 16:[3, 13], Operations: ['96/32=3', '81-68=13']
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[96, 81, 68, 32], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [81, 68, 3]
Generated Node #0,0: 16:[81, 68, 3] Operation: 96/32=3
Exploring Operation: 81-68=13, Resulting Numbers: [96, 32, 13]
Generated Node #0,1: 16:[96, 32, 13] Operation: 81-68=13
Exploring Operation: 96-81=15, Resulting Numbers: [68, 32, 15]
Generated Node #0,2: 16:[68, 32, 15] Operation: 96-81=15
Exploring Operation: 96-68=28, Resulting Numbers: [81, 32, 28]
Generated Node #0,3: 16:[81, 32, 28] Operation: 96-68=28
Exploring Operation: 96-32=64, Resulting Numbers: [81, 68, 64]
Generated Node #0,4: 16:[81, 68, 64] Operation: 96-32=64
Moving to Node #0,2
Current State: 16:[68, 32, 15], Operations: ['96-81=15']
Exploring Operation: 32+15=47, Resulting Numbers: [68, 47]
Generated Node #0,2,0: 16:[68, 47] Operation: 32+15=47
Exploring Operation: 32-15=17, Resulting Numbers: [68, 17]
Generated Node #0,2,1: 16:[68, 17] Operation: 32-15=17
Exploring Operation: 68+15=83, Resulting Numbers: [32, 83]
Generated Node #0,2,2: 16:[32, 83] Operation: 68+15=83
Exploring Operation: 68-15=53, Resulting Numbers: [32, 53]
Generated Node #0,2,3: 16:[32, 53] Operation: 68-15=53
Exploring Operation: 68-32=36, Resulting Numbers: [15, 36]
Generated Node #0,2,4: 16:[15, 36] Operation: 68-32=36
Moving to Node #0,3
Current State: 16:[81, 32, 28], Operations: ['96-68=28']
Exploring Operation: 81-32=49, Resulting Numbers: [28, 49]
Generated Node #0,3,0: 16:[28, 49] Operation: 81-32=49
Exploring Operation: 32-28=4, Resulting Numbers: [81, 4]
Generated Node #0,3,1: 16:[81, 4] Operation: 32-28=4
Exploring Operation: 81+28=109, Resulting Numbers: [32, 109]
Generated Node #0,3,2: 16:[32, 109] Operation: 81+28=109
Exploring Operation: 81-28=53, Resulting Numbers: [32, 53]
Generated Node #0,3,3: 16:[32, 53] Operation: 81-28=53
Exploring Operation: 81+32=113, Resulting Numbers: [28, 113]
Generated Node #0,3,4: 16:[28, 113] Operation: 81+32=113
Moving to Node #0,1
Current State: 16:[96, 32, 13], Operations: ['81-68=13']
Exploring Operation: 96+13=109, Resulting Numbers: [32, 109]
Generated Node #0,1,0: 16:[32, 109] Operation: 96+13=109
Exploring Operation: 96/32=3, Resulting Numbers: [13, 3]
Generated Node #0,1,1: 16:[13, 3] Operation: 96/32=3
Exploring Operation: 96-13=83, Resulting Numbers: [32, 83]
Generated Node #0,1,2: 16:[32, 83] Operation: 96-13=83
Exploring Operation: 32-13=19, Resulting Numbers: [96, 19]
Generated Node #0,1,3: 16:[96, 19] Operation: 32-13=19
Exploring Operation: 96-32=64, Resulting Numbers: [13, 64]
Generated Node #0,1,4: 16:[13, 64] Operation: 96-32=64
Moving to Node #0,0
Current State: 16:[81, 68, 3], Operations: ['96/32=3']
Exploring Operation: 81+3=84, Resulting Numbers: [68, 84]
Generated Node #0,0,0: 16:[68, 84] Operation: 81+3=84
Exploring Operation: 81-3=78, Resulting Numbers: [68, 78]
Generated Node #0,0,1: 16:[68, 78] Operation: 81-3=78
Exploring Operation: 81/3=27, Resulting Numbers: [68, 27]
Generated Node #0,0,2: 16:[68, 27] Operation: 81/3=27
Exploring Operation: 68-3=65, Resulting Numbers: [81, 65]
Generated Node #0,0,3: 16:[81, 65] Operation: 68-3=65
Exploring Operation: 81-68=13, Resulting Numbers: [3, 13]
Generated Node #0,0,4: 16:[3, 13] Operation: 81-68=13
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 16:[3, 13], Operations: ['96/32=3', '81-68=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[96, 81, 68, 32], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [81, 68, 3]
Generated Node #0,0: 16:[81, 68, 3] Operation: 96/32=3
Moving to Node #0,0
Current State: 16:[81, 68, 3], Operations: ['96/32=3']
Exploring Operation: 81-68=13, Resulting Numbers: [3, 13]
Generated Node #0,0,4: 16:[3, 13] Operation: 81-68=13
Moving to Node #0,0,4
Current State: 16:[3, 13], Operations: ['96/32=3', '81-68=13']
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_5 | mult_heuristic |
[
56,
39,
54,
58
] | 10 | [
"56-54=2",
"58/2=29",
"39-29=10"
] | Current State: 10:[56, 39, 54, 58], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [39, 58, 2]
Generated Node #2: [39, 58, 2] from Operation: 56-54=2
Current State: 10:[39, 58, 2], Operations: ['56-54=2']
Exploring Operation: 58/2=29, Resulting Numbers: [39, 29]
Generated Node #3: [39, 29] from Operation: 58/2=29
Current State: 10:[39, 29], Operations: ['56-54=2', '58/2=29']
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[56, 39, 54, 58], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [39, 54, 2]
Generated Node #0,0: 10:[39, 54, 2] Operation: 58-56=2
Exploring Operation: 58-54=4, Resulting Numbers: [56, 39, 4]
Generated Node #0,1: 10:[56, 39, 4] Operation: 58-54=4
Moving to Node #0,0
Current State: 10:[39, 54, 2], Operations: ['58-56=2']
Exploring Operation: 54-39=15, Resulting Numbers: [2, 15]
Generated Node #0,0,0: 10:[2, 15] Operation: 54-39=15
Exploring Operation: 54/2=27, Resulting Numbers: [39, 27]
Generated Node #0,0,1: 10:[39, 27] Operation: 54/2=27
Moving to Node #0,1
Current State: 10:[56, 39, 4], Operations: ['58-54=4']
Exploring Operation: 56-39=17, Resulting Numbers: [4, 17]
Generated Node #0,1,0: 10:[4, 17] Operation: 56-39=17
Exploring Operation: 56/4=14, Resulting Numbers: [39, 14]
Generated Node #0,1,1: 10:[39, 14] Operation: 56/4=14
Moving to Node #0,0,0
Current State: 10:[2, 15], Operations: ['58-56=2', '54-39=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Moving to Node #0,1,0
Current State: 10:[4, 17], Operations: ['58-54=4', '56-39=17']
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,10 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[39, 14], Operations: ['58-54=4', '56/4=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,10 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[39, 27], Operations: ['58-56=2', '54/2=27']
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,10 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,10 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
60,
79,
90,
76
] | 10 | [
"90-60=30",
"79-76=3",
"30/3=10"
] | Current State: 10:[60, 79, 90, 76], Operations: []
Exploring Operation: 90-60=30, Resulting Numbers: [79, 76, 30]
Generated Node #2: [79, 76, 30] from Operation: 90-60=30
Current State: 10:[79, 76, 30], Operations: ['90-60=30']
Exploring Operation: 79-76=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 79-76=3
Current State: 10:[30, 3], Operations: ['90-60=30', '79-76=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[60, 79, 90, 76], Operations: []
Exploring Operation: 90-79=11, Resulting Numbers: [60, 76, 11]
Generated Node #0,0: 10:[60, 76, 11] Operation: 90-79=11
Exploring Operation: 90-76=14, Resulting Numbers: [60, 79, 14]
Generated Node #0,1: 10:[60, 79, 14] Operation: 90-76=14
Exploring Operation: 79-76=3, Resulting Numbers: [60, 90, 3]
Generated Node #0,2: 10:[60, 90, 3] Operation: 79-76=3
Moving to Node #0,0
Current State: 10:[60, 76, 11], Operations: ['90-79=11']
Exploring Operation: 76-60=16, Resulting Numbers: [11, 16]
Generated Node #0,0,0: 10:[11, 16] Operation: 76-60=16
Exploring Operation: 76-11=65, Resulting Numbers: [60, 65]
Generated Node #0,0,1: 10:[60, 65] Operation: 76-11=65
Exploring Operation: 60-11=49, Resulting Numbers: [76, 49]
Generated Node #0,0,2: 10:[76, 49] Operation: 60-11=49
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[11, 16], Operations: ['90-79=11', '76-60=16']
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Exploring Operation: 11*16=176, Resulting Numbers: [176]
176,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[60, 65], Operations: ['90-79=11', '76-11=65']
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Exploring Operation: 60*65=3900, Resulting Numbers: [3900]
3900,10 unequal: No Solution
Exploring Operation: 60+65=125, Resulting Numbers: [125]
125,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 10:[76, 49], Operations: ['90-79=11', '60-11=49']
Exploring Operation: 76+49=125, Resulting Numbers: [125]
125,10 unequal: No Solution
Exploring Operation: 76-49=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 76*49=3724, Resulting Numbers: [3724]
3724,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 10:[60, 79, 14], Operations: ['90-76=14']
Exploring Operation: 60-14=46, Resulting Numbers: [79, 46]
Generated Node #0,1,0: 10:[79, 46] Operation: 60-14=46
Exploring Operation: 79-60=19, Resulting Numbers: [14, 19]
Generated Node #0,1,1: 10:[14, 19] Operation: 79-60=19
Exploring Operation: 79-14=65, Resulting Numbers: [60, 65]
Generated Node #0,1,2: 10:[60, 65] Operation: 79-14=65
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[14, 19], Operations: ['90-76=14', '79-60=19']
Exploring Operation: 14*19=266, Resulting Numbers: [266]
266,10 unequal: No Solution
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Exploring Operation: 14+19=33, Resulting Numbers: [33]
33,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[79, 46], Operations: ['90-76=14', '60-14=46']
Exploring Operation: 79+46=125, Resulting Numbers: [125]
125,10 unequal: No Solution
Exploring Operation: 79-46=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 79*46=3634, Resulting Numbers: [3634]
3634,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 10:[60, 65], Operations: ['90-76=14', '79-14=65']
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Exploring Operation: 60*65=3900, Resulting Numbers: [3900]
3900,10 unequal: No Solution
Exploring Operation: 60+65=125, Resulting Numbers: [125]
125,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 10:[60, 90, 3], Operations: ['79-76=3']
Exploring Operation: 90-60=30, Resulting Numbers: [3, 30]
Generated Node #0,2,0: 10:[3, 30] Operation: 90-60=30
Exploring Operation: 60/3=20, Resulting Numbers: [90, 20]
Generated Node #0,2,1: 10:[90, 20] Operation: 60/3=20
Exploring Operation: 90/3=30, Resulting Numbers: [60, 30]
Generated Node #0,2,2: 10:[60, 30] Operation: 90/3=30
Moving to Node #0,2,0
Current State: 10:[3, 30], Operations: ['79-76=3', '90-60=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[60, 79, 90, 76], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [60, 90, 3]
Generated Node #0,2: 10:[60, 90, 3] Operation: 79-76=3
Moving to Node #0,2
Current State: 10:[60, 90, 3], Operations: ['79-76=3']
Exploring Operation: 90-60=30, Resulting Numbers: [3, 30]
Generated Node #0,2,0: 10:[3, 30] Operation: 90-60=30
Moving to Node #0,2,0
Current State: 10:[3, 30], Operations: ['79-76=3', '90-60=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 0.969618 | hs_3 | sum_heuristic |
[
39,
65,
61,
53
] | 18 | [
"65-39=26",
"61-53=8",
"26-8=18"
] | Current State: 18:[39, 65, 61, 53], Operations: []
Exploring Operation: 65-39=26, Resulting Numbers: [61, 53, 26]
Generated Node #2: [61, 53, 26] from Operation: 65-39=26
Current State: 18:[61, 53, 26], Operations: ['65-39=26']
Exploring Operation: 61-53=8, Resulting Numbers: [26, 8]
Generated Node #3: [26, 8] from Operation: 61-53=8
Current State: 18:[26, 8], Operations: ['65-39=26', '61-53=8']
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[39, 65, 61, 53], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [39, 65, 8]
Generated Node #0,0: 18:[39, 65, 8] Operation: 61-53=8
Exploring Operation: 65-53=12, Resulting Numbers: [39, 61, 12]
Generated Node #0,1: 18:[39, 61, 12] Operation: 65-53=12
Exploring Operation: 65-39=26, Resulting Numbers: [61, 53, 26]
Generated Node #0,2: 18:[61, 53, 26] Operation: 65-39=26
Exploring Operation: 65-61=4, Resulting Numbers: [39, 53, 4]
Generated Node #0,3: 18:[39, 53, 4] Operation: 65-61=4
Moving to Node #0,3
Current State: 18:[39, 53, 4], Operations: ['65-61=4']
Exploring Operation: 53-39=14, Resulting Numbers: [4, 14]
Generated Node #0,3,0: 18:[4, 14] Operation: 53-39=14
Exploring Operation: 39+4=43, Resulting Numbers: [53, 43]
Generated Node #0,3,1: 18:[53, 43] Operation: 39+4=43
Exploring Operation: 53-4=49, Resulting Numbers: [39, 49]
Generated Node #0,3,2: 18:[39, 49] Operation: 53-4=49
Exploring Operation: 39-4=35, Resulting Numbers: [53, 35]
Generated Node #0,3,3: 18:[53, 35] Operation: 39-4=35
Moving to Node #0,1
Current State: 18:[39, 61, 12], Operations: ['65-53=12']
Exploring Operation: 61-12=49, Resulting Numbers: [39, 49]
Generated Node #0,1,0: 18:[39, 49] Operation: 61-12=49
Exploring Operation: 61-39=22, Resulting Numbers: [12, 22]
Generated Node #0,1,1: 18:[12, 22] Operation: 61-39=22
Exploring Operation: 39-12=27, Resulting Numbers: [61, 27]
Generated Node #0,1,2: 18:[61, 27] Operation: 39-12=27
Exploring Operation: 39+12=51, Resulting Numbers: [61, 51]
Generated Node #0,1,3: 18:[61, 51] Operation: 39+12=51
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[12, 22], Operations: ['65-53=12', '61-39=22']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 12*22=264, Resulting Numbers: [264]
264,18 unequal: No Solution
Exploring Operation: 12+22=34, Resulting Numbers: [34]
34,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[39, 49], Operations: ['65-53=12', '61-12=49']
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 39*49=1911, Resulting Numbers: [1911]
1911,18 unequal: No Solution
Exploring Operation: 39+49=88, Resulting Numbers: [88]
88,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 18:[61, 27], Operations: ['65-53=12', '39-12=27']
Exploring Operation: 61+27=88, Resulting Numbers: [88]
88,18 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,18 unequal: No Solution
Exploring Operation: 61*27=1647, Resulting Numbers: [1647]
1647,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 18:[61, 51], Operations: ['65-53=12', '39+12=51']
Exploring Operation: 61+51=112, Resulting Numbers: [112]
112,18 unequal: No Solution
Exploring Operation: 61-51=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 61*51=3111, Resulting Numbers: [3111]
3111,18 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: 18:[39, 65, 8], Operations: ['61-53=8']
Exploring Operation: 39+8=47, Resulting Numbers: [65, 47]
Generated Node #0,0,0: 18:[65, 47] Operation: 39+8=47
Exploring Operation: 65-8=57, Resulting Numbers: [39, 57]
Generated Node #0,0,1: 18:[39, 57] Operation: 65-8=57
Exploring Operation: 65-39=26, Resulting Numbers: [8, 26]
Generated Node #0,0,2: 18:[8, 26] Operation: 65-39=26
Exploring Operation: 39-8=31, Resulting Numbers: [65, 31]
Generated Node #0,0,3: 18:[65, 31] Operation: 39-8=31
Moving to Node #0,2
Current State: 18:[61, 53, 26], Operations: ['65-39=26']
Exploring Operation: 53-26=27, Resulting Numbers: [61, 27]
Generated Node #0,2,0: 18:[61, 27] Operation: 53-26=27
Exploring Operation: 61-53=8, Resulting Numbers: [26, 8]
Generated Node #0,2,1: 18:[26, 8] Operation: 61-53=8
Exploring Operation: 61-26=35, Resulting Numbers: [53, 35]
Generated Node #0,2,2: 18:[53, 35] Operation: 61-26=35
Exploring Operation: 61+53=114, Resulting Numbers: [26, 114]
Generated Node #0,2,3: 18:[26, 114] Operation: 61+53=114
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[26, 8], Operations: ['65-39=26', '61-53=8']
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[39, 65, 61, 53], Operations: []
Exploring Operation: 65-39=26, Resulting Numbers: [61, 53, 26]
Generated Node #0,2: 18:[61, 53, 26] Operation: 65-39=26
Moving to Node #0,2
Current State: 18:[61, 53, 26], Operations: ['65-39=26']
Exploring Operation: 61-53=8, Resulting Numbers: [26, 8]
Generated Node #0,2,1: 18:[26, 8] Operation: 61-53=8
Moving to Node #0,2,1
Current State: 18:[26, 8], Operations: ['65-39=26', '61-53=8']
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_4 | sum_heuristic |
[
11,
81,
59,
17
] | 55 | [
"81-59=22",
"22-17=5",
"11*5=55"
] | Current State: 55:[11, 81, 59, 17], Operations: []
Exploring Operation: 81-59=22, Resulting Numbers: [11, 17, 22]
Generated Node #2: [11, 17, 22] from Operation: 81-59=22
Current State: 55:[11, 17, 22], Operations: ['81-59=22']
Exploring Operation: 22-17=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 22-17=5
Current State: 55:[11, 5], Operations: ['81-59=22', '22-17=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[11, 81, 59, 17], Operations: []
Exploring Operation: 81-11=70, Resulting Numbers: [59, 17, 70]
Generated Node #0,0: 55:[59, 17, 70] Operation: 81-11=70
Exploring Operation: 59-11=48, Resulting Numbers: [81, 17, 48]
Generated Node #0,1: 55:[81, 17, 48] Operation: 59-11=48
Exploring Operation: 17-11=6, Resulting Numbers: [81, 59, 6]
Generated Node #0,2: 55:[81, 59, 6] Operation: 17-11=6
Exploring Operation: 81-59=22, Resulting Numbers: [11, 17, 22]
Generated Node #0,3: 55:[11, 17, 22] Operation: 81-59=22
Exploring Operation: 81-17=64, Resulting Numbers: [11, 59, 64]
Generated Node #0,4: 55:[11, 59, 64] Operation: 81-17=64
Moving to Node #0,4
Current State: 55:[11, 59, 64], Operations: ['81-17=64']
Exploring Operation: 59-11=48, Resulting Numbers: [64, 48]
Generated Node #0,4,0: 55:[64, 48] Operation: 59-11=48
Exploring Operation: 64-59=5, Resulting Numbers: [11, 5]
Generated Node #0,4,1: 55:[11, 5] Operation: 64-59=5
Exploring Operation: 64-11=53, Resulting Numbers: [59, 53]
Generated Node #0,4,2: 55:[59, 53] Operation: 64-11=53
Exploring Operation: 11+64=75, Resulting Numbers: [59, 75]
Generated Node #0,4,3: 55:[59, 75] Operation: 11+64=75
Exploring Operation: 11+59=70, Resulting Numbers: [64, 70]
Generated Node #0,4,4: 55:[64, 70] Operation: 11+59=70
Moving to Node #0,3
Current State: 55:[11, 17, 22], Operations: ['81-59=22']
Exploring Operation: 17+22=39, Resulting Numbers: [11, 39]
Generated Node #0,3,0: 55:[11, 39] Operation: 17+22=39
Exploring Operation: 22-11=11, Resulting Numbers: [17, 11]
Generated Node #0,3,1: 55:[17, 11] Operation: 22-11=11
Exploring Operation: 22/11=2, Resulting Numbers: [17, 2]
Generated Node #0,3,2: 55:[17, 2] Operation: 22/11=2
Exploring Operation: 17-11=6, Resulting Numbers: [22, 6]
Generated Node #0,3,3: 55:[22, 6] Operation: 17-11=6
Exploring Operation: 22-17=5, Resulting Numbers: [11, 5]
Generated Node #0,3,4: 55:[11, 5] Operation: 22-17=5
Moving to Node #0,0
Current State: 55:[59, 17, 70], Operations: ['81-11=70']
Exploring Operation: 59-17=42, Resulting Numbers: [70, 42]
Generated Node #0,0,0: 55:[70, 42] Operation: 59-17=42
Exploring Operation: 59+17=76, Resulting Numbers: [70, 76]
Generated Node #0,0,1: 55:[70, 76] Operation: 59+17=76
Exploring Operation: 70-59=11, Resulting Numbers: [17, 11]
Generated Node #0,0,2: 55:[17, 11] Operation: 70-59=11
Exploring Operation: 70-17=53, Resulting Numbers: [59, 53]
Generated Node #0,0,3: 55:[59, 53] Operation: 70-17=53
Exploring Operation: 17+70=87, Resulting Numbers: [59, 87]
Generated Node #0,0,4: 55:[59, 87] Operation: 17+70=87
Moving to Node #0,2
Current State: 55:[81, 59, 6], Operations: ['17-11=6']
Exploring Operation: 81-6=75, Resulting Numbers: [59, 75]
Generated Node #0,2,0: 55:[59, 75] Operation: 81-6=75
Exploring Operation: 81+6=87, Resulting Numbers: [59, 87]
Generated Node #0,2,1: 55:[59, 87] Operation: 81+6=87
Exploring Operation: 59-6=53, Resulting Numbers: [81, 53]
Generated Node #0,2,2: 55:[81, 53] Operation: 59-6=53
Exploring Operation: 59+6=65, Resulting Numbers: [81, 65]
Generated Node #0,2,3: 55:[81, 65] Operation: 59+6=65
Exploring Operation: 81-59=22, Resulting Numbers: [6, 22]
Generated Node #0,2,4: 55:[6, 22] Operation: 81-59=22
Moving to Node #0,1
Current State: 55:[81, 17, 48], Operations: ['59-11=48']
Exploring Operation: 48-17=31, Resulting Numbers: [81, 31]
Generated Node #0,1,0: 55:[81, 31] Operation: 48-17=31
Exploring Operation: 81+17=98, Resulting Numbers: [48, 98]
Generated Node #0,1,1: 55:[48, 98] Operation: 81+17=98
Exploring Operation: 17+48=65, Resulting Numbers: [81, 65]
Generated Node #0,1,2: 55:[81, 65] Operation: 17+48=65
Exploring Operation: 81-17=64, Resulting Numbers: [48, 64]
Generated Node #0,1,3: 55:[48, 64] Operation: 81-17=64
Exploring Operation: 81-48=33, Resulting Numbers: [17, 33]
Generated Node #0,1,4: 55:[17, 33] Operation: 81-48=33
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 55:[48, 64], Operations: ['59-11=48', '81-17=64']
Exploring Operation: 48+64=112, Resulting Numbers: [112]
112,55 unequal: No Solution
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,55 unequal: No Solution
Exploring Operation: 48*64=3072, Resulting Numbers: [3072]
3072,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 55:[17, 33], Operations: ['59-11=48', '81-48=33']
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,55 unequal: No Solution
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,55 unequal: No Solution
Exploring Operation: 17*33=561, Resulting Numbers: [561]
561,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 55:[81, 65], Operations: ['59-11=48', '17+48=65']
Exploring Operation: 81-65=16, Resulting Numbers: [16]
16,55 unequal: No Solution
Exploring Operation: 81*65=5265, Resulting Numbers: [5265]
5265,55 unequal: No Solution
Exploring Operation: 81+65=146, Resulting Numbers: [146]
146,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 55:[81, 31], Operations: ['59-11=48', '48-17=31']
Exploring Operation: 81*31=2511, Resulting Numbers: [2511]
2511,55 unequal: No Solution
Exploring Operation: 81-31=50, Resulting Numbers: [50]
50,55 unequal: No Solution
Exploring Operation: 81+31=112, Resulting Numbers: [112]
112,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[48, 98], Operations: ['59-11=48', '81+17=98']
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,55 unequal: No Solution
Exploring Operation: 48*98=4704, Resulting Numbers: [4704]
4704,55 unequal: No Solution
Exploring Operation: 48+98=146, Resulting Numbers: [146]
146,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,1
Current State: 55:[11, 5], Operations: ['81-17=64', '64-59=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,55 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[11, 81, 59, 17], Operations: []
Exploring Operation: 81-17=64, Resulting Numbers: [11, 59, 64]
Generated Node #0,4: 55:[11, 59, 64] Operation: 81-17=64
Moving to Node #0,4
Current State: 55:[11, 59, 64], Operations: ['81-17=64']
Exploring Operation: 64-59=5, Resulting Numbers: [11, 5]
Generated Node #0,4,1: 55:[11, 5] Operation: 64-59=5
Moving to Node #0,4,1
Current State: 55:[11, 5], Operations: ['81-17=64', '64-59=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 0.954861 | hs_5 | sum_heuristic |
[
82,
40,
22,
2
] | 44 | [
"82-2=80",
"80/40=2",
"22*2=44"
] | Current State: 44:[82, 40, 22, 2], Operations: []
Exploring Operation: 82-2=80, Resulting Numbers: [40, 22, 80]
Generated Node #2: [40, 22, 80] from Operation: 82-2=80
Current State: 44:[40, 22, 80], Operations: ['82-2=80']
Exploring Operation: 80/40=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 80/40=2
Current State: 44:[22, 2], Operations: ['82-2=80', '80/40=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[82, 40, 22, 2], Operations: []
Exploring Operation: 82-40=42, Resulting Numbers: [22, 2, 42]
Generated Node #0,0: 44:[22, 2, 42] Operation: 82-40=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[22, 2, 42], Operations: ['82-40=42']
Exploring Operation: 2+42=44, Resulting Numbers: [22, 44]
Generated Node #0,0,0: 44:[22, 44] Operation: 2+42=44
Moving to Node #0,0,0
Current State: 44:[22, 44], Operations: ['82-40=42', '2+42=44']
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
38,
12,
72,
45
] | 89 | [
"38+45=83",
"72/12=6",
"83+6=89"
] | Current State: 89:[38, 12, 72, 45], Operations: []
Exploring Operation: 38+45=83, Resulting Numbers: [12, 72, 83]
Generated Node #2: [12, 72, 83] from Operation: 38+45=83
Current State: 89:[12, 72, 83], Operations: ['38+45=83']
Exploring Operation: 72/12=6, Resulting Numbers: [83, 6]
Generated Node #3: [83, 6] from Operation: 72/12=6
Current State: 89:[83, 6], Operations: ['38+45=83', '72/12=6']
Exploring Operation: 83+6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[38, 12, 72, 45], Operations: []
Exploring Operation: 38+45=83, Resulting Numbers: [12, 72, 83]
Generated Node #0,0: 89:[12, 72, 83] Operation: 38+45=83
Exploring Operation: 38-12=26, Resulting Numbers: [72, 45, 26]
Generated Node #0,1: 89:[72, 45, 26] Operation: 38-12=26
Exploring Operation: 12+45=57, Resulting Numbers: [38, 72, 57]
Generated Node #0,2: 89:[38, 72, 57] Operation: 12+45=57
Exploring Operation: 38+12=50, Resulting Numbers: [72, 45, 50]
Generated Node #0,3: 89:[72, 45, 50] Operation: 38+12=50
Exploring Operation: 12+72=84, Resulting Numbers: [38, 45, 84]
Generated Node #0,4: 89:[38, 45, 84] Operation: 12+72=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[12, 72, 83], Operations: ['38+45=83']
Exploring Operation: 12+83=95, Resulting Numbers: [72, 95]
Generated Node #0,0,0: 89:[72, 95] Operation: 12+83=95
Exploring Operation: 83-12=71, Resulting Numbers: [72, 71]
Generated Node #0,0,1: 89:[72, 71] Operation: 83-12=71
Exploring Operation: 12+72=84, Resulting Numbers: [83, 84]
Generated Node #0,0,2: 89:[83, 84] Operation: 12+72=84
Exploring Operation: 72-12=60, Resulting Numbers: [83, 60]
Generated Node #0,0,3: 89:[83, 60] Operation: 72-12=60
Exploring Operation: 72/12=6, Resulting Numbers: [83, 6]
Generated Node #0,0,4: 89:[83, 6] Operation: 72/12=6
Moving to Node #0,0,2
Current State: 89:[83, 84], Operations: ['38+45=83', '12+72=84']
Exploring Operation: 84-83=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 83+84=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Exploring Operation: 83*84=6972, Resulting Numbers: [6972]
6972,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[72, 95], Operations: ['38+45=83', '12+83=95']
Exploring Operation: 72*95=6840, Resulting Numbers: [6840]
6840,89 unequal: No Solution
Exploring Operation: 95-72=23, Resulting Numbers: [23]
23,89 unequal: No Solution
Exploring Operation: 72+95=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[72, 71], Operations: ['38+45=83', '83-12=71']
Exploring Operation: 72-71=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 72+71=143, Resulting Numbers: [143]
143,89 unequal: No Solution
Exploring Operation: 72*71=5112, Resulting Numbers: [5112]
5112,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[83, 60], Operations: ['38+45=83', '72-12=60']
Exploring Operation: 83*60=4980, Resulting Numbers: [4980]
4980,89 unequal: No Solution
Exploring Operation: 83+60=143, Resulting Numbers: [143]
143,89 unequal: No Solution
Exploring Operation: 83-60=23, Resulting Numbers: [23]
23,89 unequal: No Solution
Moving to Node #0,0,4
Current State: 89:[83, 6], Operations: ['38+45=83', '72/12=6']
Exploring Operation: 83+6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[38, 12, 72, 45], Operations: []
Exploring Operation: 38+45=83, Resulting Numbers: [12, 72, 83]
Generated Node #0,0: 89:[12, 72, 83] Operation: 38+45=83
Moving to Node #0,0
Current State: 89:[12, 72, 83], Operations: ['38+45=83']
Exploring Operation: 72/12=6, Resulting Numbers: [83, 6]
Generated Node #0,0,4: 89:[83, 6] Operation: 72/12=6
Moving to Node #0,0,4
Current State: 89:[83, 6], Operations: ['38+45=83', '72/12=6']
Exploring Operation: 83+6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
52,
99,
97,
73
] | 99 | [
"99-97=2",
"52/2=26",
"73+26=99"
] | Current State: 99:[52, 99, 97, 73], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [52, 73, 2]
Generated Node #2: [52, 73, 2] from Operation: 99-97=2
Current State: 99:[52, 73, 2], Operations: ['99-97=2']
Exploring Operation: 52/2=26, Resulting Numbers: [73, 26]
Generated Node #3: [73, 26] from Operation: 52/2=26
Current State: 99:[73, 26], Operations: ['99-97=2', '52/2=26']
Exploring Operation: 73+26=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[52, 99, 97, 73], Operations: []
Exploring Operation: 73-52=21, Resulting Numbers: [99, 97, 21]
Generated Node #0,0: 99:[99, 97, 21] Operation: 73-52=21
Moving to Node #0,0
Current State: 99:[99, 97, 21], Operations: ['73-52=21']
Exploring Operation: 99-97=2, Resulting Numbers: [21, 2]
Generated Node #0,0,0: 99:[21, 2] Operation: 99-97=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[21, 2], Operations: ['73-52=21', '99-97=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
74,
81,
57,
98
] | 71 | [
"81-74=7",
"98/7=14",
"57+14=71"
] | Current State: 71:[74, 81, 57, 98], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [57, 98, 7]
Generated Node #2: [57, 98, 7] from Operation: 81-74=7
Current State: 71:[57, 98, 7], Operations: ['81-74=7']
Exploring Operation: 98/7=14, Resulting Numbers: [57, 14]
Generated Node #3: [57, 14] from Operation: 98/7=14
Current State: 71:[57, 14], Operations: ['81-74=7', '98/7=14']
Exploring Operation: 57+14=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[74, 81, 57, 98], Operations: []
Exploring Operation: 98-74=24, Resulting Numbers: [81, 57, 24]
Generated Node #0,0: 71:[81, 57, 24] Operation: 98-74=24
Exploring Operation: 98-57=41, Resulting Numbers: [74, 81, 41]
Generated Node #0,1: 71:[74, 81, 41] Operation: 98-57=41
Exploring Operation: 74-57=17, Resulting Numbers: [81, 98, 17]
Generated Node #0,2: 71:[81, 98, 17] Operation: 74-57=17
Exploring Operation: 81-57=24, Resulting Numbers: [74, 98, 24]
Generated Node #0,3: 71:[74, 98, 24] Operation: 81-57=24
Exploring Operation: 98-81=17, Resulting Numbers: [74, 57, 17]
Generated Node #0,4: 71:[74, 57, 17] Operation: 98-81=17
Moving to Node #0,1
Current State: 71:[74, 81, 41], Operations: ['98-57=41']
Exploring Operation: 74-41=33, Resulting Numbers: [81, 33]
Generated Node #0,1,0: 71:[81, 33] Operation: 74-41=33
Exploring Operation: 81+41=122, Resulting Numbers: [74, 122]
Generated Node #0,1,1: 71:[74, 122] Operation: 81+41=122
Exploring Operation: 81-74=7, Resulting Numbers: [41, 7]
Generated Node #0,1,2: 71:[41, 7] Operation: 81-74=7
Exploring Operation: 74+41=115, Resulting Numbers: [81, 115]
Generated Node #0,1,3: 71:[81, 115] Operation: 74+41=115
Exploring Operation: 81-41=40, Resulting Numbers: [74, 40]
Generated Node #0,1,4: 71:[74, 40] Operation: 81-41=40
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 71:[74, 40], Operations: ['98-57=41', '81-41=40']
Exploring Operation: 74*40=2960, Resulting Numbers: [2960]
2960,71 unequal: No Solution
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 74+40=114, Resulting Numbers: [114]
114,71 unequal: No Solution
No 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: 71:[81, 33], Operations: ['98-57=41', '74-41=33']
Exploring Operation: 81+33=114, Resulting Numbers: [114]
114,71 unequal: No Solution
Exploring Operation: 81*33=2673, Resulting Numbers: [2673]
2673,71 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,71 unequal: No Solution
No 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: 71:[74, 122], Operations: ['98-57=41', '81+41=122']
Exploring Operation: 74+122=196, Resulting Numbers: [196]
196,71 unequal: No Solution
Exploring Operation: 122-74=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 74*122=9028, Resulting Numbers: [9028]
9028,71 unequal: No Solution
No 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: 71:[81, 115], Operations: ['98-57=41', '74+41=115']
Exploring Operation: 115-81=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 81*115=9315, Resulting Numbers: [9315]
9315,71 unequal: No Solution
Exploring Operation: 81+115=196, Resulting Numbers: [196]
196,71 unequal: No Solution
No 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: 71:[41, 7], Operations: ['98-57=41', '81-74=7']
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 41*7=287, Resulting Numbers: [287]
287,71 unequal: No Solution
Exploring Operation: 41+7=48, Resulting Numbers: [48]
48,71 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: 71:[74, 57, 17], Operations: ['98-81=17']
Exploring Operation: 74-57=17, Resulting Numbers: [17, 17]
Generated Node #0,4,0: 71:[17, 17] Operation: 74-57=17
Exploring Operation: 57+17=74, Resulting Numbers: [74, 74]
Generated Node #0,4,1: 71:[74, 74] Operation: 57+17=74
Exploring Operation: 74-17=57, Resulting Numbers: [57, 57]
Generated Node #0,4,2: 71:[57, 57] Operation: 74-17=57
Exploring Operation: 74+17=91, Resulting Numbers: [57, 91]
Generated Node #0,4,3: 71:[57, 91] Operation: 74+17=91
Exploring Operation: 57-17=40, Resulting Numbers: [74, 40]
Generated Node #0,4,4: 71:[74, 40] Operation: 57-17=40
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 71:[74, 74], Operations: ['98-81=17', '57+17=74']
Exploring Operation: 74/74=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 74*74=5476, Resulting Numbers: [5476]
5476,71 unequal: No Solution
Exploring Operation: 74-74=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 74+74=148, Resulting Numbers: [148]
148,71 unequal: No Solution
No 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: 71:[57, 57], Operations: ['98-81=17', '74-17=57']
Exploring Operation: 57*57=3249, Resulting Numbers: [3249]
3249,71 unequal: No Solution
Exploring Operation: 57-57=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 57+57=114, Resulting Numbers: [114]
114,71 unequal: No Solution
Exploring Operation: 57/57=1, Resulting Numbers: [1]
1,71 unequal: No Solution
No 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: 71:[57, 91], Operations: ['98-81=17', '74+17=91']
Exploring Operation: 57+91=148, Resulting Numbers: [148]
148,71 unequal: No Solution
Exploring Operation: 57*91=5187, Resulting Numbers: [5187]
5187,71 unequal: No Solution
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,71 unequal: No Solution
No 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: 71:[74, 40], Operations: ['98-81=17', '57-17=40']
Exploring Operation: 74+40=114, Resulting Numbers: [114]
114,71 unequal: No Solution
Exploring Operation: 74*40=2960, Resulting Numbers: [2960]
2960,71 unequal: No Solution
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,71 unequal: No Solution
No 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: 71:[17, 17], Operations: ['98-81=17', '74-57=17']
Exploring Operation: 17*17=289, Resulting Numbers: [289]
289,71 unequal: No Solution
Exploring Operation: 17/17=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 17-17=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 17+17=34, Resulting Numbers: [34]
34,71 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: 71:[81, 57, 24], Operations: ['98-74=24']
Exploring Operation: 81-57=24, Resulting Numbers: [24, 24]
Generated Node #0,0,0: 71:[24, 24] Operation: 81-57=24
Exploring Operation: 57+24=81, Resulting Numbers: [81, 81]
Generated Node #0,0,1: 71:[81, 81] Operation: 57+24=81
Exploring Operation: 81+24=105, Resulting Numbers: [57, 105]
Generated Node #0,0,2: 71:[57, 105] Operation: 81+24=105
Exploring Operation: 57-24=33, Resulting Numbers: [81, 33]
Generated Node #0,0,3: 71:[81, 33] Operation: 57-24=33
Exploring Operation: 81-24=57, Resulting Numbers: [57, 57]
Generated Node #0,0,4: 71:[57, 57] Operation: 81-24=57
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[81, 81], Operations: ['98-74=24', '57+24=81']
Exploring Operation: 81+81=162, Resulting Numbers: [162]
162,71 unequal: No Solution
Exploring Operation: 81-81=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 81/81=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 81*81=6561, Resulting Numbers: [6561]
6561,71 unequal: No Solution
No 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: 71:[57, 57], Operations: ['98-74=24', '81-24=57']
Exploring Operation: 57-57=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 57+57=114, Resulting Numbers: [114]
114,71 unequal: No Solution
Exploring Operation: 57/57=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 57*57=3249, Resulting Numbers: [3249]
3249,71 unequal: No Solution
No 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: 71:[57, 105], Operations: ['98-74=24', '81+24=105']
Exploring Operation: 57+105=162, Resulting Numbers: [162]
162,71 unequal: No Solution
Exploring Operation: 105-57=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 57*105=5985, Resulting Numbers: [5985]
5985,71 unequal: No Solution
No 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: 71:[81, 33], Operations: ['98-74=24', '57-24=33']
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 81+33=114, Resulting Numbers: [114]
114,71 unequal: No Solution
Exploring Operation: 81*33=2673, Resulting Numbers: [2673]
2673,71 unequal: No Solution
No 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: 71:[24, 24], Operations: ['98-74=24', '81-57=24']
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,71 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,71 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: 71:[74, 98, 24], Operations: ['81-57=24']
Exploring Operation: 74-24=50, Resulting Numbers: [98, 50]
Generated Node #0,3,0: 71:[98, 50] Operation: 74-24=50
Exploring Operation: 74+24=98, Resulting Numbers: [98, 98]
Generated Node #0,3,1: 71:[98, 98] Operation: 74+24=98
Exploring Operation: 98-74=24, Resulting Numbers: [24, 24]
Generated Node #0,3,2: 71:[24, 24] Operation: 98-74=24
Exploring Operation: 98-24=74, Resulting Numbers: [74, 74]
Generated Node #0,3,3: 71:[74, 74] Operation: 98-24=74
Exploring Operation: 98+24=122, Resulting Numbers: [74, 122]
Generated Node #0,3,4: 71:[74, 122] Operation: 98+24=122
Moving to Node #0,2
Current State: 71:[81, 98, 17], Operations: ['74-57=17']
Exploring Operation: 98-81=17, Resulting Numbers: [17, 17]
Generated Node #0,2,0: 71:[17, 17] Operation: 98-81=17
Exploring Operation: 81+17=98, Resulting Numbers: [98, 98]
Generated Node #0,2,1: 71:[98, 98] Operation: 81+17=98
Exploring Operation: 81-17=64, Resulting Numbers: [98, 64]
Generated Node #0,2,2: 71:[98, 64] Operation: 81-17=64
Exploring Operation: 98+17=115, Resulting Numbers: [81, 115]
Generated Node #0,2,3: 71:[81, 115] Operation: 98+17=115
Exploring Operation: 98-17=81, Resulting Numbers: [81, 81]
Generated Node #0,2,4: 71:[81, 81] Operation: 98-17=81
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 71:[81, 81], Operations: ['74-57=17', '98-17=81']
Exploring Operation: 81+81=162, Resulting Numbers: [162]
162,71 unequal: No Solution
Exploring Operation: 81*81=6561, Resulting Numbers: [6561]
6561,71 unequal: No Solution
Exploring Operation: 81-81=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 81/81=1, Resulting Numbers: [1]
1,71 unequal: No Solution
No 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: 71:[98, 64], Operations: ['74-57=17', '81-17=64']
Exploring Operation: 98*64=6272, Resulting Numbers: [6272]
6272,71 unequal: No Solution
Exploring Operation: 98+64=162, Resulting Numbers: [162]
162,71 unequal: No Solution
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,71 unequal: No Solution
No 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: 71:[98, 98], Operations: ['74-57=17', '81+17=98']
Exploring Operation: 98-98=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 98+98=196, Resulting Numbers: [196]
196,71 unequal: No Solution
Exploring Operation: 98*98=9604, Resulting Numbers: [9604]
9604,71 unequal: No Solution
Exploring Operation: 98/98=1, Resulting Numbers: [1]
1,71 unequal: No Solution
No 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: 71:[81, 115], Operations: ['74-57=17', '98+17=115']
Exploring Operation: 115-81=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 81+115=196, Resulting Numbers: [196]
196,71 unequal: No Solution
Exploring Operation: 81*115=9315, Resulting Numbers: [9315]
9315,71 unequal: No Solution
No 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: 71:[17, 17], Operations: ['74-57=17', '98-81=17']
Exploring Operation: 17+17=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 17/17=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 17-17=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 17*17=289, Resulting Numbers: [289]
289,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 71:[74, 74], Operations: ['81-57=24', '98-24=74']
Exploring Operation: 74+74=148, Resulting Numbers: [148]
148,71 unequal: No Solution
Exploring Operation: 74/74=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 74-74=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 74*74=5476, Resulting Numbers: [5476]
5476,71 unequal: No Solution
Moving to Node #0,3,0
Current State: 71:[98, 50], Operations: ['81-57=24', '74-24=50']
Exploring Operation: 98-50=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 98+50=148, Resulting Numbers: [148]
148,71 unequal: No Solution
Exploring Operation: 98*50=4900, Resulting Numbers: [4900]
4900,71 unequal: No Solution
Moving to Node #0,3,1
Current State: 71:[98, 98], Operations: ['81-57=24', '74+24=98']
Exploring Operation: 98-98=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 98/98=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 98+98=196, Resulting Numbers: [196]
196,71 unequal: No Solution
Exploring Operation: 98*98=9604, Resulting Numbers: [9604]
9604,71 unequal: No Solution
Moving to Node #0,3,4
Current State: 71:[74, 122], Operations: ['81-57=24', '98+24=122']
Exploring Operation: 122-74=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 74*122=9028, Resulting Numbers: [9028]
9028,71 unequal: No Solution
Exploring Operation: 74+122=196, Resulting Numbers: [196]
196,71 unequal: No Solution
Moving to Node #0,3,2
Current State: 71:[24, 24], Operations: ['81-57=24', '98-74=24']
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,71 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
49,
57,
76,
84
] | 63 | [
"76*84=6384",
"6384/57=112",
"112-49=63"
] | Current State: 63:[49, 57, 76, 84], Operations: []
Exploring Operation: 76*84=6384, Resulting Numbers: [49, 57, 6384]
Generated Node #2: [49, 57, 6384] from Operation: 76*84=6384
Current State: 63:[49, 57, 6384], Operations: ['76*84=6384']
Exploring Operation: 6384/57=112, Resulting Numbers: [49, 112]
Generated Node #3: [49, 112] from Operation: 6384/57=112
Current State: 63:[49, 112], Operations: ['76*84=6384', '6384/57=112']
Exploring Operation: 112-49=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[49, 57, 76, 84], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [49, 57, 8]
Generated Node #0,0: 63:[49, 57, 8] Operation: 84-76=8
Exploring Operation: 76-49=27, Resulting Numbers: [57, 84, 27]
Generated Node #0,1: 63:[57, 84, 27] Operation: 76-49=27
Moving to Node #0,0
Current State: 63:[49, 57, 8], Operations: ['84-76=8']
Exploring Operation: 49+8=57, Resulting Numbers: [57, 57]
Generated Node #0,0,0: 63:[57, 57] Operation: 49+8=57
Exploring Operation: 57-49=8, Resulting Numbers: [8, 8]
Generated Node #0,0,1: 63:[8, 8] Operation: 57-49=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[8, 8], Operations: ['84-76=8', '57-49=8']
Exploring Operation: 8/8=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,63 unequal: No Solution
No 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: 63:[57, 57], Operations: ['84-76=8', '49+8=57']
Exploring Operation: 57-57=0, Resulting Numbers: [0]
0,63 unequal: No Solution
Exploring Operation: 57/57=1, Resulting Numbers: [1]
1,63 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: 63:[57, 84, 27], Operations: ['76-49=27']
Exploring Operation: 84-57=27, Resulting Numbers: [27, 27]
Generated Node #0,1,0: 63:[27, 27] Operation: 84-57=27
Exploring Operation: 84-27=57, Resulting Numbers: [57, 57]
Generated Node #0,1,1: 63:[57, 57] Operation: 84-27=57
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[27, 27], Operations: ['76-49=27', '84-57=27']
Exploring Operation: 27/27=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 27-27=0, Resulting Numbers: [0]
0,63 unequal: No Solution
No 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: 63:[57, 57], Operations: ['76-49=27', '84-27=57']
Exploring Operation: 57-57=0, Resulting Numbers: [0]
0,63 unequal: No Solution
Exploring Operation: 57/57=1, Resulting Numbers: [1]
1,63 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 |
[
22,
37,
55,
1
] | 69 | [
"37-22=15",
"55-1=54",
"15+54=69"
] | Current State: 69:[22, 37, 55, 1], Operations: []
Exploring Operation: 37-22=15, Resulting Numbers: [55, 1, 15]
Generated Node #2: [55, 1, 15] from Operation: 37-22=15
Current State: 69:[55, 1, 15], Operations: ['37-22=15']
Exploring Operation: 55-1=54, Resulting Numbers: [15, 54]
Generated Node #3: [15, 54] from Operation: 55-1=54
Current State: 69:[15, 54], Operations: ['37-22=15', '55-1=54']
Exploring Operation: 15+54=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[22, 37, 55, 1], Operations: []
Exploring Operation: 55-37=18, Resulting Numbers: [22, 1, 18]
Generated Node #0,0: 69:[22, 1, 18] Operation: 55-37=18
Exploring Operation: 37-22=15, Resulting Numbers: [55, 1, 15]
Generated Node #0,1: 69:[55, 1, 15] Operation: 37-22=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[22, 1, 18], Operations: ['55-37=18']
Exploring Operation: 22+1=23, Resulting Numbers: [18, 23]
Generated Node #0,0,0: 69:[18, 23] Operation: 22+1=23
Exploring Operation: 22-18=4, Resulting Numbers: [1, 4]
Generated Node #0,0,1: 69:[1, 4] Operation: 22-18=4
Moving to Node #0,0,1
Current State: 69:[1, 4], Operations: ['55-37=18', '22-18=4']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[18, 23], Operations: ['55-37=18', '22+1=23']
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 18+23=41, Resulting Numbers: [41]
41,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[55, 1, 15], Operations: ['37-22=15']
Exploring Operation: 55-15=40, Resulting Numbers: [1, 40]
Generated Node #0,1,0: 69:[1, 40] Operation: 55-15=40
Exploring Operation: 55+15=70, Resulting Numbers: [1, 70]
Generated Node #0,1,1: 69:[1, 70] Operation: 55+15=70
Moving to Node #0,1,1
Current State: 69:[1, 70], Operations: ['37-22=15', '55+15=70']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[22, 37, 55, 1], Operations: []
Exploring Operation: 37-22=15, Resulting Numbers: [55, 1, 15]
Generated Node #0,1: 69:[55, 1, 15] Operation: 37-22=15
Moving to Node #0,1
Current State: 69:[55, 1, 15], Operations: ['37-22=15']
Exploring Operation: 55+15=70, Resulting Numbers: [1, 70]
Generated Node #0,1,1: 69:[1, 70] Operation: 55+15=70
Moving to Node #0,1,1
Current State: 69:[1, 70], Operations: ['37-22=15', '55+15=70']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
20,
5,
4,
54
] | 31 | [
"20*4=80",
"54-5=49",
"80-49=31"
] | Current State: 31:[20, 5, 4, 54], Operations: []
Exploring Operation: 20*4=80, Resulting Numbers: [5, 54, 80]
Generated Node #2: [5, 54, 80] from Operation: 20*4=80
Current State: 31:[5, 54, 80], Operations: ['20*4=80']
Exploring Operation: 54-5=49, Resulting Numbers: [80, 49]
Generated Node #3: [80, 49] from Operation: 54-5=49
Current State: 31:[80, 49], Operations: ['20*4=80', '54-5=49']
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[20, 5, 4, 54], Operations: []
Exploring Operation: 5*4=20, Resulting Numbers: [20, 54, 20]
Generated Node #0,0: 31:[20, 54, 20] Operation: 5*4=20
Moving to Node #0,0
Current State: 31:[20, 54, 20], Operations: ['5*4=20']
Exploring Operation: 54-20=34, Resulting Numbers: [20, 34]
Generated Node #0,0,0: 31:[20, 34] Operation: 54-20=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[20, 34], Operations: ['5*4=20', '54-20=34']
Exploring Operation: 34-20=14, Resulting Numbers: [14]
14,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
32,
6,
68,
10
] | 61 | [
"32+10=42",
"42/6=7",
"68-7=61"
] | Current State: 61:[32, 6, 68, 10], Operations: []
Exploring Operation: 32+10=42, Resulting Numbers: [6, 68, 42]
Generated Node #2: [6, 68, 42] from Operation: 32+10=42
Current State: 61:[6, 68, 42], Operations: ['32+10=42']
Exploring Operation: 42/6=7, Resulting Numbers: [68, 7]
Generated Node #3: [68, 7] from Operation: 42/6=7
Current State: 61:[68, 7], Operations: ['32+10=42', '42/6=7']
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[32, 6, 68, 10], Operations: []
Exploring Operation: 32+10=42, Resulting Numbers: [6, 68, 42]
Generated Node #0,0: 61:[6, 68, 42] Operation: 32+10=42
Exploring Operation: 32+6=38, Resulting Numbers: [68, 10, 38]
Generated Node #0,1: 61:[68, 10, 38] Operation: 32+6=38
Exploring Operation: 6*10=60, Resulting Numbers: [32, 68, 60]
Generated Node #0,2: 61:[32, 68, 60] Operation: 6*10=60
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[32, 68, 60], Operations: ['6*10=60']
Exploring Operation: 68-32=36, Resulting Numbers: [60, 36]
Generated Node #0,2,0: 61:[60, 36] Operation: 68-32=36
Exploring Operation: 32+60=92, Resulting Numbers: [68, 92]
Generated Node #0,2,1: 61:[68, 92] Operation: 32+60=92
Exploring Operation: 32+68=100, Resulting Numbers: [60, 100]
Generated Node #0,2,2: 61:[60, 100] Operation: 32+68=100
Moving to Node #0,2,0
Current State: 61:[60, 36], Operations: ['6*10=60', '68-32=36']
Exploring Operation: 60*36=2160, Resulting Numbers: [2160]
2160,61 unequal: No Solution
Exploring Operation: 60+36=96, Resulting Numbers: [96]
96,61 unequal: No Solution
Exploring Operation: 60-36=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[68, 92], Operations: ['6*10=60', '32+60=92']
Exploring Operation: 68*92=6256, Resulting Numbers: [6256]
6256,61 unequal: No Solution
Exploring Operation: 68+92=160, Resulting Numbers: [160]
160,61 unequal: No Solution
Exploring Operation: 92-68=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[60, 100], Operations: ['6*10=60', '32+68=100']
Exploring Operation: 100-60=40, Resulting Numbers: [40]
40,61 unequal: No Solution
Exploring Operation: 60+100=160, Resulting Numbers: [160]
160,61 unequal: No Solution
Exploring Operation: 60*100=6000, Resulting Numbers: [6000]
6000,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[6, 68, 42], Operations: ['32+10=42']
Exploring Operation: 6+68=74, Resulting Numbers: [42, 74]
Generated Node #0,0,0: 61:[42, 74] Operation: 6+68=74
Exploring Operation: 68-6=62, Resulting Numbers: [42, 62]
Generated Node #0,0,1: 61:[42, 62] Operation: 68-6=62
Exploring Operation: 6+42=48, Resulting Numbers: [68, 48]
Generated Node #0,0,2: 61:[68, 48] Operation: 6+42=48
Moving to Node #0,0,1
Current State: 61:[42, 62], Operations: ['32+10=42', '68-6=62']
Exploring Operation: 42+62=104, Resulting Numbers: [104]
104,61 unequal: No Solution
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,61 unequal: No Solution
Exploring Operation: 42*62=2604, Resulting Numbers: [2604]
2604,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[68, 48], Operations: ['32+10=42', '6+42=48']
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,61 unequal: No Solution
Exploring Operation: 68*48=3264, Resulting Numbers: [3264]
3264,61 unequal: No Solution
Exploring Operation: 68+48=116, Resulting Numbers: [116]
116,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[42, 74], Operations: ['32+10=42', '6+68=74']
Exploring Operation: 42+74=116, Resulting Numbers: [116]
116,61 unequal: No Solution
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,61 unequal: No Solution
Exploring Operation: 42*74=3108, Resulting Numbers: [3108]
3108,61 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:[68, 10, 38], Operations: ['32+6=38']
Exploring Operation: 10+38=48, Resulting Numbers: [68, 48]
Generated Node #0,1,0: 61:[68, 48] Operation: 10+38=48
Exploring Operation: 68-10=58, Resulting Numbers: [38, 58]
Generated Node #0,1,1: 61:[38, 58] Operation: 68-10=58
Exploring Operation: 68+10=78, Resulting Numbers: [38, 78]
Generated Node #0,1,2: 61:[38, 78] Operation: 68+10=78
Moving to Node #0,1,0
Current State: 61:[68, 48], Operations: ['32+6=38', '10+38=48']
Exploring Operation: 68*48=3264, Resulting Numbers: [3264]
3264,61 unequal: No Solution
Exploring Operation: 68+48=116, Resulting Numbers: [116]
116,61 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[38, 58], Operations: ['32+6=38', '68-10=58']
Exploring Operation: 38+58=96, Resulting Numbers: [96]
96,61 unequal: No Solution
Exploring Operation: 38*58=2204, Resulting Numbers: [2204]
2204,61 unequal: No Solution
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[38, 78], Operations: ['32+6=38', '68+10=78']
Exploring Operation: 78-38=40, Resulting Numbers: [40]
40,61 unequal: No Solution
Exploring Operation: 38*78=2964, Resulting Numbers: [2964]
2964,61 unequal: No Solution
Exploring Operation: 38+78=116, Resulting Numbers: [116]
116,61 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 |
[
68,
64,
20,
11
] | 36 | [
"68-64=4",
"20-11=9",
"4*9=36"
] | Current State: 36:[68, 64, 20, 11], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [20, 11, 4]
Generated Node #2: [20, 11, 4] from Operation: 68-64=4
Current State: 36:[20, 11, 4], Operations: ['68-64=4']
Exploring Operation: 20-11=9, Resulting Numbers: [4, 9]
Generated Node #3: [4, 9] from Operation: 20-11=9
Current State: 36:[4, 9], Operations: ['68-64=4', '20-11=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[68, 64, 20, 11], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [20, 11, 4]
Generated Node #0,0: 36:[20, 11, 4] Operation: 68-64=4
Exploring Operation: 68-20=48, Resulting Numbers: [64, 11, 48]
Generated Node #0,1: 36:[64, 11, 48] Operation: 68-20=48
Exploring Operation: 64-20=44, Resulting Numbers: [68, 11, 44]
Generated Node #0,2: 36:[68, 11, 44] Operation: 64-20=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[20, 11, 4], Operations: ['68-64=4']
Exploring Operation: 20-11=9, Resulting Numbers: [4, 9]
Generated Node #0,0,0: 36:[4, 9] Operation: 20-11=9
Exploring Operation: 20/4=5, Resulting Numbers: [11, 5]
Generated Node #0,0,1: 36:[11, 5] Operation: 20/4=5
Exploring Operation: 20-4=16, Resulting Numbers: [11, 16]
Generated Node #0,0,2: 36:[11, 16] Operation: 20-4=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[4, 9], Operations: ['68-64=4', '20-11=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[68, 64, 20, 11], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [20, 11, 4]
Generated Node #0,0: 36:[20, 11, 4] Operation: 68-64=4
Moving to Node #0,0
Current State: 36:[20, 11, 4], Operations: ['68-64=4']
Exploring Operation: 20-11=9, Resulting Numbers: [4, 9]
Generated Node #0,0,0: 36:[4, 9] Operation: 20-11=9
Moving to Node #0,0,0
Current State: 36:[4, 9], Operations: ['68-64=4', '20-11=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
8,
23,
6,
63
] | 83 | [
"63-8=55",
"23*6=138",
"138-55=83"
] | Current State: 83:[8, 23, 6, 63], Operations: []
Exploring Operation: 63-8=55, Resulting Numbers: [23, 6, 55]
Generated Node #2: [23, 6, 55] from Operation: 63-8=55
Current State: 83:[23, 6, 55], Operations: ['63-8=55']
Exploring Operation: 23*6=138, Resulting Numbers: [55, 138]
Generated Node #3: [55, 138] from Operation: 23*6=138
Current State: 83:[55, 138], Operations: ['63-8=55', '23*6=138']
Exploring Operation: 138-55=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[8, 23, 6, 63], Operations: []
Exploring Operation: 8*6=48, Resulting Numbers: [23, 63, 48]
Generated Node #0,0: 83:[23, 63, 48] Operation: 8*6=48
Exploring Operation: 8+6=14, Resulting Numbers: [23, 63, 14]
Generated Node #0,1: 83:[23, 63, 14] Operation: 8+6=14
Exploring Operation: 8+63=71, Resulting Numbers: [23, 6, 71]
Generated Node #0,2: 83:[23, 6, 71] Operation: 8+63=71
Exploring Operation: 8+23=31, Resulting Numbers: [6, 63, 31]
Generated Node #0,3: 83:[6, 63, 31] Operation: 8+23=31
Moving to Node #0,0
Current State: 83:[23, 63, 48], Operations: ['8*6=48']
Exploring Operation: 23+63=86, Resulting Numbers: [48, 86]
Generated Node #0,0,0: 83:[48, 86] Operation: 23+63=86
Exploring Operation: 63-23=40, Resulting Numbers: [48, 40]
Generated Node #0,0,1: 83:[48, 40] Operation: 63-23=40
Exploring Operation: 48-23=25, Resulting Numbers: [63, 25]
Generated Node #0,0,2: 83:[63, 25] Operation: 48-23=25
Exploring Operation: 23+48=71, Resulting Numbers: [63, 71]
Generated Node #0,0,3: 83:[63, 71] Operation: 23+48=71
Moving to Node #0,2
Current State: 83:[23, 6, 71], Operations: ['8+63=71']
Exploring Operation: 23-6=17, Resulting Numbers: [71, 17]
Generated Node #0,2,0: 83:[71, 17] Operation: 23-6=17
Exploring Operation: 6+71=77, Resulting Numbers: [23, 77]
Generated Node #0,2,1: 83:[23, 77] Operation: 6+71=77
Exploring Operation: 23*6=138, Resulting Numbers: [71, 138]
Generated Node #0,2,2: 83:[71, 138] Operation: 23*6=138
Exploring Operation: 23+6=29, Resulting Numbers: [71, 29]
Generated Node #0,2,3: 83:[71, 29] Operation: 23+6=29
Moving to Node #0,1
Current State: 83:[23, 63, 14], Operations: ['8+6=14']
Exploring Operation: 63+14=77, Resulting Numbers: [23, 77]
Generated Node #0,1,0: 83:[23, 77] Operation: 63+14=77
Exploring Operation: 23+63=86, Resulting Numbers: [14, 86]
Generated Node #0,1,1: 83:[14, 86] Operation: 23+63=86
Exploring Operation: 23-14=9, Resulting Numbers: [63, 9]
Generated Node #0,1,2: 83:[63, 9] Operation: 23-14=9
Exploring Operation: 23+14=37, Resulting Numbers: [63, 37]
Generated Node #0,1,3: 83:[63, 37] Operation: 23+14=37
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[23, 77], Operations: ['8+6=14', '63+14=77']
Exploring Operation: 23+77=100, Resulting Numbers: [100]
100,83 unequal: No Solution
Exploring Operation: 77-23=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 23*77=1771, Resulting Numbers: [1771]
1771,83 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 #0,1,3
Current State: 83:[63, 37], Operations: ['8+6=14', '23+14=37']
Exploring Operation: 63*37=2331, Resulting Numbers: [2331]
2331,83 unequal: No Solution
Exploring Operation: 63+37=100, Resulting Numbers: [100]
100,83 unequal: No Solution
Exploring Operation: 63-37=26, Resulting Numbers: [26]
26,83 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:[14, 86], Operations: ['8+6=14', '23+63=86']
Exploring Operation: 86-14=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 14+86=100, Resulting Numbers: [100]
100,83 unequal: No Solution
Exploring Operation: 14*86=1204, Resulting Numbers: [1204]
1204,83 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:[63, 9], Operations: ['8+6=14', '23-14=9']
Exploring Operation: 63/9=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Exploring Operation: 63*9=567, Resulting Numbers: [567]
567,83 unequal: No Solution
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 63+9=72, Resulting Numbers: [72]
72,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 83:[6, 63, 31], Operations: ['8+23=31']
Exploring Operation: 6+63=69, Resulting Numbers: [31, 69]
Generated Node #0,3,0: 83:[31, 69] Operation: 6+63=69
Exploring Operation: 63-6=57, Resulting Numbers: [31, 57]
Generated Node #0,3,1: 83:[31, 57] Operation: 63-6=57
Exploring Operation: 31-6=25, Resulting Numbers: [63, 25]
Generated Node #0,3,2: 83:[63, 25] Operation: 31-6=25
Exploring Operation: 6+31=37, Resulting Numbers: [63, 37]
Generated Node #0,3,3: 83:[63, 37] Operation: 6+31=37
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 83:[31, 69], Operations: ['8+23=31', '6+63=69']
Exploring Operation: 31+69=100, Resulting Numbers: [100]
100,83 unequal: No Solution
Exploring Operation: 31*69=2139, Resulting Numbers: [2139]
2139,83 unequal: No Solution
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,83 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 #0,3,3
Current State: 83:[63, 37], Operations: ['8+23=31', '6+31=37']
Exploring Operation: 63*37=2331, Resulting Numbers: [2331]
2331,83 unequal: No Solution
Exploring Operation: 63-37=26, Resulting Numbers: [26]
26,83 unequal: No Solution
Exploring Operation: 63+37=100, Resulting Numbers: [100]
100,83 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 #0,3,1
Current State: 83:[31, 57], Operations: ['8+23=31', '63-6=57']
Exploring Operation: 31+57=88, Resulting Numbers: [88]
88,83 unequal: No Solution
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,83 unequal: No Solution
Exploring Operation: 31*57=1767, Resulting Numbers: [1767]
1767,83 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 #0,3,2
Current State: 83:[63, 25], Operations: ['8+23=31', '31-6=25']
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 63*25=1575, Resulting Numbers: [1575]
1575,83 unequal: No Solution
Exploring Operation: 63+25=88, Resulting Numbers: [88]
88,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 83:[63, 71], Operations: ['8*6=48', '23+48=71']
Exploring Operation: 63*71=4473, Resulting Numbers: [4473]
4473,83 unequal: No Solution
Exploring Operation: 63+71=134, Resulting Numbers: [134]
134,83 unequal: No Solution
Exploring Operation: 71-63=8, Resulting Numbers: [8]
8,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[48, 86], Operations: ['8*6=48', '23+63=86']
Exploring Operation: 48+86=134, Resulting Numbers: [134]
134,83 unequal: No Solution
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 48*86=4128, Resulting Numbers: [4128]
4128,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[71, 29], Operations: ['8+63=71', '23+6=29']
Exploring Operation: 71+29=100, Resulting Numbers: [100]
100,83 unequal: No Solution
Exploring Operation: 71*29=2059, Resulting Numbers: [2059]
2059,83 unequal: No Solution
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[23, 77], Operations: ['8+63=71', '6+71=77']
Exploring Operation: 23*77=1771, Resulting Numbers: [1771]
1771,83 unequal: No Solution
Exploring Operation: 23+77=100, Resulting Numbers: [100]
100,83 unequal: No Solution
Exploring Operation: 77-23=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[71, 138], Operations: ['8+63=71', '23*6=138']
Exploring Operation: 71*138=9798, Resulting Numbers: [9798]
9798,83 unequal: No Solution
Exploring Operation: 138-71=67, Resulting Numbers: [67]
67,83 unequal: No Solution
Exploring Operation: 71+138=209, Resulting Numbers: [209]
209,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[48, 40], Operations: ['8*6=48', '63-23=40']
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,83 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,83 unequal: No Solution
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[71, 17], Operations: ['8+63=71', '23-6=17']
Exploring Operation: 71+17=88, Resulting Numbers: [88]
88,83 unequal: No Solution
Exploring Operation: 71-17=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 71*17=1207, Resulting Numbers: [1207]
1207,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[63, 25], Operations: ['8*6=48', '48-23=25']
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 63*25=1575, Resulting Numbers: [1575]
1575,83 unequal: No Solution
Exploring Operation: 63+25=88, Resulting Numbers: [88]
88,83 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
2,
66,
60,
17
] | 90 | [
"17-2=15",
"66-60=6",
"15*6=90"
] | Current State: 90:[2, 66, 60, 17], Operations: []
Exploring Operation: 17-2=15, Resulting Numbers: [66, 60, 15]
Generated Node #2: [66, 60, 15] from Operation: 17-2=15
Current State: 90:[66, 60, 15], Operations: ['17-2=15']
Exploring Operation: 66-60=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 66-60=6
Current State: 90:[15, 6], Operations: ['17-2=15', '66-60=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[2, 66, 60, 17], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [2, 17, 6]
Generated Node #0,0: 90:[2, 17, 6] Operation: 66-60=6
Moving to Node #0,0
Current State: 90:[2, 17, 6], Operations: ['66-60=6']
Exploring Operation: 17-2=15, Resulting Numbers: [6, 15]
Generated Node #0,0,0: 90:[6, 15] Operation: 17-2=15
Moving to Node #0,0,0
Current State: 90:[6, 15], Operations: ['66-60=6', '17-2=15']
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[2, 66, 60, 17], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [2, 17, 6]
Generated Node #0,0: 90:[2, 17, 6] Operation: 66-60=6
Moving to Node #0,0
Current State: 90:[2, 17, 6], Operations: ['66-60=6']
Exploring Operation: 17-2=15, Resulting Numbers: [6, 15]
Generated Node #0,0,0: 90:[6, 15] Operation: 17-2=15
Moving to Node #0,0,0
Current State: 90:[6, 15], Operations: ['66-60=6', '17-2=15']
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
78,
62,
26,
68
] | 98 | [
"78+62=140",
"68-26=42",
"140-42=98"
] | Current State: 98:[78, 62, 26, 68], Operations: []
Exploring Operation: 78+62=140, Resulting Numbers: [26, 68, 140]
Generated Node #2: [26, 68, 140] from Operation: 78+62=140
Current State: 98:[26, 68, 140], Operations: ['78+62=140']
Exploring Operation: 68-26=42, Resulting Numbers: [140, 42]
Generated Node #3: [140, 42] from Operation: 68-26=42
Current State: 98:[140, 42], Operations: ['78+62=140', '68-26=42']
Exploring Operation: 140-42=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[78, 62, 26, 68], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [62, 68, 3]
Generated Node #0,0: 98:[62, 68, 3] Operation: 78/26=3
Exploring Operation: 78-62=16, Resulting Numbers: [26, 68, 16]
Generated Node #0,1: 98:[26, 68, 16] Operation: 78-62=16
Exploring Operation: 78-68=10, Resulting Numbers: [62, 26, 10]
Generated Node #0,2: 98:[62, 26, 10] Operation: 78-68=10
Moving to Node #0,2
Current State: 98:[62, 26, 10], Operations: ['78-68=10']
Exploring Operation: 62+26=88, Resulting Numbers: [10, 88]
Generated Node #0,2,0: 98:[10, 88] Operation: 62+26=88
Exploring Operation: 62-10=52, Resulting Numbers: [26, 52]
Generated Node #0,2,1: 98:[26, 52] Operation: 62-10=52
Exploring Operation: 26-10=16, Resulting Numbers: [62, 16]
Generated Node #0,2,2: 98:[62, 16] Operation: 26-10=16
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 98:[10, 88], Operations: ['78-68=10', '62+26=88']
Exploring Operation: 10*88=880, Resulting Numbers: [880]
880,98 unequal: No Solution
Exploring Operation: 10+88=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[78, 62, 26, 68], Operations: []
Exploring Operation: 78-68=10, Resulting Numbers: [62, 26, 10]
Generated Node #0,2: 98:[62, 26, 10] Operation: 78-68=10
Moving to Node #0,2
Current State: 98:[62, 26, 10], Operations: ['78-68=10']
Exploring Operation: 62+26=88, Resulting Numbers: [10, 88]
Generated Node #0,2,0: 98:[10, 88] Operation: 62+26=88
Moving to Node #0,2,0
Current State: 98:[10, 88], Operations: ['78-68=10', '62+26=88']
Exploring Operation: 10+88=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
81,
95,
4,
24
] | 40 | [
"95-81=14",
"24-14=10",
"4*10=40"
] | Current State: 40:[81, 95, 4, 24], Operations: []
Exploring Operation: 95-81=14, Resulting Numbers: [4, 24, 14]
Generated Node #2: [4, 24, 14] from Operation: 95-81=14
Current State: 40:[4, 24, 14], Operations: ['95-81=14']
Exploring Operation: 24-14=10, Resulting Numbers: [4, 10]
Generated Node #3: [4, 10] from Operation: 24-14=10
Current State: 40:[4, 10], Operations: ['95-81=14', '24-14=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[81, 95, 4, 24], Operations: []
Exploring Operation: 95-81=14, Resulting Numbers: [4, 24, 14]
Generated Node #0,0: 40:[4, 24, 14] Operation: 95-81=14
Exploring Operation: 81-24=57, Resulting Numbers: [95, 4, 57]
Generated Node #0,1: 40:[95, 4, 57] Operation: 81-24=57
Exploring Operation: 95-24=71, Resulting Numbers: [81, 4, 71]
Generated Node #0,2: 40:[81, 4, 71] Operation: 95-24=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[4, 24, 14], Operations: ['95-81=14']
Exploring Operation: 24-14=10, Resulting Numbers: [4, 10]
Generated Node #0,0,0: 40:[4, 10] Operation: 24-14=10
Exploring Operation: 24-4=20, Resulting Numbers: [14, 20]
Generated Node #0,0,1: 40:[14, 20] Operation: 24-4=20
Exploring Operation: 24+14=38, Resulting Numbers: [4, 38]
Generated Node #0,0,2: 40:[4, 38] Operation: 24+14=38
Moving to Node #0,0,0
Current State: 40:[4, 10], Operations: ['95-81=14', '24-14=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[81, 95, 4, 24], Operations: []
Exploring Operation: 95-81=14, Resulting Numbers: [4, 24, 14]
Generated Node #0,0: 40:[4, 24, 14] Operation: 95-81=14
Moving to Node #0,0
Current State: 40:[4, 24, 14], Operations: ['95-81=14']
Exploring Operation: 24-14=10, Resulting Numbers: [4, 10]
Generated Node #0,0,0: 40:[4, 10] Operation: 24-14=10
Moving to Node #0,0,0
Current State: 40:[4, 10], Operations: ['95-81=14', '24-14=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
43,
9,
30,
36
] | 33 | [
"43-36=7",
"9*7=63",
"63-30=33"
] | Current State: 33:[43, 9, 30, 36], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [9, 30, 7]
Generated Node #2: [9, 30, 7] from Operation: 43-36=7
Current State: 33:[9, 30, 7], Operations: ['43-36=7']
Exploring Operation: 9*7=63, Resulting Numbers: [30, 63]
Generated Node #3: [30, 63] from Operation: 9*7=63
Current State: 33:[30, 63], Operations: ['43-36=7', '9*7=63']
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[43, 9, 30, 36], Operations: []
Exploring Operation: 36-30=6, Resulting Numbers: [43, 9, 6]
Generated Node #0,0: 33:[43, 9, 6] Operation: 36-30=6
Exploring Operation: 36/9=4, Resulting Numbers: [43, 30, 4]
Generated Node #0,1: 33:[43, 30, 4] Operation: 36/9=4
Exploring Operation: 43-9=34, Resulting Numbers: [30, 36, 34]
Generated Node #0,2: 33:[30, 36, 34] Operation: 43-9=34
Exploring Operation: 43-36=7, Resulting Numbers: [9, 30, 7]
Generated Node #0,3: 33:[9, 30, 7] Operation: 43-36=7
Exploring Operation: 43-30=13, Resulting Numbers: [9, 36, 13]
Generated Node #0,4: 33:[9, 36, 13] Operation: 43-30=13
Moving to Node #0,2
Current State: 33:[30, 36, 34], Operations: ['43-9=34']
Exploring Operation: 36-34=2, Resulting Numbers: [30, 2]
Generated Node #0,2,0: 33:[30, 2] Operation: 36-34=2
Exploring Operation: 30+36=66, Resulting Numbers: [34, 66]
Generated Node #0,2,1: 33:[34, 66] Operation: 30+36=66
Exploring Operation: 30+34=64, Resulting Numbers: [36, 64]
Generated Node #0,2,2: 33:[36, 64] Operation: 30+34=64
Exploring Operation: 36-30=6, Resulting Numbers: [34, 6]
Generated Node #0,2,3: 33:[34, 6] Operation: 36-30=6
Exploring Operation: 34-30=4, Resulting Numbers: [36, 4]
Generated Node #0,2,4: 33:[36, 4] Operation: 34-30=4
Moving to Node #0,4
Current State: 33:[9, 36, 13], Operations: ['43-30=13']
Exploring Operation: 36-13=23, Resulting Numbers: [9, 23]
Generated Node #0,4,0: 33:[9, 23] Operation: 36-13=23
Exploring Operation: 13-9=4, Resulting Numbers: [36, 4]
Generated Node #0,4,1: 33:[36, 4] Operation: 13-9=4
Exploring Operation: 9+36=45, Resulting Numbers: [13, 45]
Generated Node #0,4,2: 33:[13, 45] Operation: 9+36=45
Exploring Operation: 36/9=4, Resulting Numbers: [13, 4]
Generated Node #0,4,3: 33:[13, 4] Operation: 36/9=4
Exploring Operation: 36-9=27, Resulting Numbers: [13, 27]
Generated Node #0,4,4: 33:[13, 27] Operation: 36-9=27
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 33:[13, 4], Operations: ['43-30=13', '36/9=4']
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,33 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 33:[36, 4], Operations: ['43-30=13', '13-9=4']
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,33 unequal: No Solution
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 33:[13, 27], Operations: ['43-30=13', '36-9=27']
Exploring Operation: 13*27=351, Resulting Numbers: [351]
351,33 unequal: No Solution
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 33:[9, 23], Operations: ['43-30=13', '36-13=23']
Exploring Operation: 9*23=207, Resulting Numbers: [207]
207,33 unequal: No Solution
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 33:[13, 45], Operations: ['43-30=13', '9+36=45']
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 13*45=585, Resulting Numbers: [585]
585,33 unequal: No Solution
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,33 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: 33:[9, 30, 7], Operations: ['43-36=7']
Exploring Operation: 30-7=23, Resulting Numbers: [9, 23]
Generated Node #0,3,0: 33:[9, 23] Operation: 30-7=23
Exploring Operation: 30+7=37, Resulting Numbers: [9, 37]
Generated Node #0,3,1: 33:[9, 37] Operation: 30+7=37
Exploring Operation: 9+7=16, Resulting Numbers: [30, 16]
Generated Node #0,3,2: 33:[30, 16] Operation: 9+7=16
Exploring Operation: 9+30=39, Resulting Numbers: [7, 39]
Generated Node #0,3,3: 33:[7, 39] Operation: 9+30=39
Exploring Operation: 9-7=2, Resulting Numbers: [30, 2]
Generated Node #0,3,4: 33:[30, 2] Operation: 9-7=2
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 33:[30, 2], Operations: ['43-36=7', '9-7=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,33 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 33:[9, 37], Operations: ['43-36=7', '30+7=37']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,33 unequal: No Solution
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 33:[30, 16], Operations: ['43-36=7', '9+7=16']
Exploring Operation: 30+16=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 30*16=480, Resulting Numbers: [480]
480,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 33:[7, 39], Operations: ['43-36=7', '9+30=39']
Exploring Operation: 7*39=273, Resulting Numbers: [273]
273,33 unequal: No Solution
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 33:[9, 23], Operations: ['43-36=7', '30-7=23']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 9*23=207, Resulting Numbers: [207]
207,33 unequal: No Solution
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,33 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: 33:[43, 30, 4], Operations: ['36/9=4']
Exploring Operation: 30+4=34, Resulting Numbers: [43, 34]
Generated Node #0,1,0: 33:[43, 34] Operation: 30+4=34
Exploring Operation: 43+4=47, Resulting Numbers: [30, 47]
Generated Node #0,1,1: 33:[30, 47] Operation: 43+4=47
Exploring Operation: 43-4=39, Resulting Numbers: [30, 39]
Generated Node #0,1,2: 33:[30, 39] Operation: 43-4=39
Exploring Operation: 30-4=26, Resulting Numbers: [43, 26]
Generated Node #0,1,3: 33:[43, 26] Operation: 30-4=26
Exploring Operation: 43-30=13, Resulting Numbers: [4, 13]
Generated Node #0,1,4: 33:[4, 13] Operation: 43-30=13
Moving to Node #0,0
Current State: 33:[43, 9, 6], Operations: ['36-30=6']
Exploring Operation: 43-6=37, Resulting Numbers: [9, 37]
Generated Node #0,0,0: 33:[9, 37] Operation: 43-6=37
Exploring Operation: 43-9=34, Resulting Numbers: [6, 34]
Generated Node #0,0,1: 33:[6, 34] Operation: 43-9=34
Exploring Operation: 9+6=15, Resulting Numbers: [43, 15]
Generated Node #0,0,2: 33:[43, 15] Operation: 9+6=15
Exploring Operation: 43+6=49, Resulting Numbers: [9, 49]
Generated Node #0,0,3: 33:[9, 49] Operation: 43+6=49
Exploring Operation: 9-6=3, Resulting Numbers: [43, 3]
Generated Node #0,0,4: 33:[43, 3] Operation: 9-6=3
Moving to Node #0,1,4
Current State: 33:[4, 13], Operations: ['36/9=4', '43-30=13']
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,33 unequal: No Solution
Moving to Node #0,2,0
Current State: 33:[30, 2], Operations: ['43-9=34', '36-34=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,33 unequal: No Solution
Moving to Node #0,2,4
Current State: 33:[36, 4], Operations: ['43-9=34', '34-30=4']
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,33 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Moving to Node #0,2,3
Current State: 33:[34, 6], Operations: ['43-9=34', '36-30=6']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[6, 34], Operations: ['36-30=6', '43-9=34']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 6*34=204, Resulting Numbers: [204]
204,33 unequal: No Solution
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[9, 37], Operations: ['36-30=6', '43-6=37']
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[30, 39], Operations: ['36/9=4', '43-4=39']
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 30+39=69, Resulting Numbers: [69]
69,33 unequal: No Solution
Exploring Operation: 30*39=1170, Resulting Numbers: [1170]
1170,33 unequal: No Solution
Moving to Node #0,0,4
Current State: 33:[43, 3], Operations: ['36-30=6', '9-6=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,33 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[43, 34], Operations: ['36/9=4', '30+4=34']
Exploring Operation: 43-34=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 43*34=1462, Resulting Numbers: [1462]
1462,33 unequal: No Solution
Exploring Operation: 43+34=77, Resulting Numbers: [77]
77,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[43, 15], Operations: ['36-30=6', '9+6=15']
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 43+15=58, Resulting Numbers: [58]
58,33 unequal: No Solution
Exploring Operation: 43*15=645, Resulting Numbers: [645]
645,33 unequal: No Solution
Moving to Node #0,1,3
Current State: 33:[43, 26], Operations: ['36/9=4', '30-4=26']
Exploring Operation: 43*26=1118, Resulting Numbers: [1118]
1118,33 unequal: No Solution
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Exploring Operation: 43+26=69, Resulting Numbers: [69]
69,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[30, 47], Operations: ['36/9=4', '43+4=47']
Exploring Operation: 30*47=1410, Resulting Numbers: [1410]
1410,33 unequal: No Solution
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Exploring Operation: 30+47=77, Resulting Numbers: [77]
77,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[9, 49], Operations: ['36-30=6', '43+6=49']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 9*49=441, Resulting Numbers: [441]
441,33 unequal: No Solution
Exploring Operation: 9+49=58, Resulting Numbers: [58]
58,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[34, 66], Operations: ['43-9=34', '30+36=66']
Exploring Operation: 66-34=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 34+66=100, Resulting Numbers: [100]
100,33 unequal: No Solution
Exploring Operation: 34*66=2244, Resulting Numbers: [2244]
2244,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[36, 64], Operations: ['43-9=34', '30+34=64']
Exploring Operation: 36+64=100, Resulting Numbers: [100]
100,33 unequal: No Solution
Exploring Operation: 36*64=2304, Resulting Numbers: [2304]
2304,33 unequal: No Solution
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,33 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
54,
35,
32,
36
] | 87 | [
"54-35=19",
"32+36=68",
"19+68=87"
] | Current State: 87:[54, 35, 32, 36], Operations: []
Exploring Operation: 54-35=19, Resulting Numbers: [32, 36, 19]
Generated Node #2: [32, 36, 19] from Operation: 54-35=19
Current State: 87:[32, 36, 19], Operations: ['54-35=19']
Exploring Operation: 32+36=68, Resulting Numbers: [19, 68]
Generated Node #3: [19, 68] from Operation: 32+36=68
Current State: 87:[19, 68], Operations: ['54-35=19', '32+36=68']
Exploring Operation: 19+68=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[54, 35, 32, 36], Operations: []
Exploring Operation: 54+36=90, Resulting Numbers: [35, 32, 90]
Generated Node #0,0: 87:[35, 32, 90] Operation: 54+36=90
Exploring Operation: 54+32=86, Resulting Numbers: [35, 36, 86]
Generated Node #0,1: 87:[35, 36, 86] Operation: 54+32=86
Exploring Operation: 54-35=19, Resulting Numbers: [32, 36, 19]
Generated Node #0,2: 87:[32, 36, 19] Operation: 54-35=19
Exploring Operation: 54+35=89, Resulting Numbers: [32, 36, 89]
Generated Node #0,3: 87:[32, 36, 89] Operation: 54+35=89
Moving to Node #0,0
Current State: 87:[35, 32, 90], Operations: ['54+36=90']
Exploring Operation: 35-32=3, Resulting Numbers: [90, 3]
Generated Node #0,0,0: 87:[90, 3] Operation: 35-32=3
Exploring Operation: 35+32=67, Resulting Numbers: [90, 67]
Generated Node #0,0,1: 87:[90, 67] Operation: 35+32=67
Exploring Operation: 90-35=55, Resulting Numbers: [32, 55]
Generated Node #0,0,2: 87:[32, 55] Operation: 90-35=55
Exploring Operation: 90-32=58, Resulting Numbers: [35, 58]
Generated Node #0,0,3: 87:[35, 58] Operation: 90-32=58
Moving to Node #0,3
Current State: 87:[32, 36, 89], Operations: ['54+35=89']
Exploring Operation: 89-32=57, Resulting Numbers: [36, 57]
Generated Node #0,3,0: 87:[36, 57] Operation: 89-32=57
Exploring Operation: 32+36=68, Resulting Numbers: [89, 68]
Generated Node #0,3,1: 87:[89, 68] Operation: 32+36=68
Exploring Operation: 36-32=4, Resulting Numbers: [89, 4]
Generated Node #0,3,2: 87:[89, 4] Operation: 36-32=4
Exploring Operation: 89-36=53, Resulting Numbers: [32, 53]
Generated Node #0,3,3: 87:[32, 53] Operation: 89-36=53
Moving to Node #0,1
Current State: 87:[35, 36, 86], Operations: ['54+32=86']
Exploring Operation: 86-36=50, Resulting Numbers: [35, 50]
Generated Node #0,1,0: 87:[35, 50] Operation: 86-36=50
Exploring Operation: 36-35=1, Resulting Numbers: [86, 1]
Generated Node #0,1,1: 87:[86, 1] Operation: 36-35=1
Exploring Operation: 35+36=71, Resulting Numbers: [86, 71]
Generated Node #0,1,2: 87:[86, 71] Operation: 35+36=71
Exploring Operation: 86-35=51, Resulting Numbers: [36, 51]
Generated Node #0,1,3: 87:[36, 51] Operation: 86-35=51
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[86, 1], Operations: ['54+32=86', '36-35=1']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,87 unequal: No Solution
Exploring Operation: 86/1=86, Resulting Numbers: [86]
86,87 unequal: No Solution
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[54, 35, 32, 36], Operations: []
Exploring Operation: 54+32=86, Resulting Numbers: [35, 36, 86]
Generated Node #0,1: 87:[35, 36, 86] Operation: 54+32=86
Moving to Node #0,1
Current State: 87:[35, 36, 86], Operations: ['54+32=86']
Exploring Operation: 36-35=1, Resulting Numbers: [86, 1]
Generated Node #0,1,1: 87:[86, 1] Operation: 36-35=1
Moving to Node #0,1,1
Current State: 87:[86, 1], Operations: ['54+32=86', '36-35=1']
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_4 | sum_heuristic |
[
88,
68,
21,
10
] | 51 | [
"88-68=20",
"21+10=31",
"20+31=51"
] | Current State: 51:[88, 68, 21, 10], Operations: []
Exploring Operation: 88-68=20, Resulting Numbers: [21, 10, 20]
Generated Node #2: [21, 10, 20] from Operation: 88-68=20
Current State: 51:[21, 10, 20], Operations: ['88-68=20']
Exploring Operation: 21+10=31, Resulting Numbers: [20, 31]
Generated Node #3: [20, 31] from Operation: 21+10=31
Current State: 51:[20, 31], Operations: ['88-68=20', '21+10=31']
Exploring Operation: 20+31=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[88, 68, 21, 10], Operations: []
Exploring Operation: 88-10=78, Resulting Numbers: [68, 21, 78]
Generated Node #0,0: 51:[68, 21, 78] Operation: 88-10=78
Exploring Operation: 88-21=67, Resulting Numbers: [68, 10, 67]
Generated Node #0,1: 51:[68, 10, 67] Operation: 88-21=67
Exploring Operation: 88-68=20, Resulting Numbers: [21, 10, 20]
Generated Node #0,2: 51:[21, 10, 20] Operation: 88-68=20
Exploring Operation: 68-21=47, Resulting Numbers: [88, 10, 47]
Generated Node #0,3: 51:[88, 10, 47] Operation: 68-21=47
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[21, 10, 20], Operations: ['88-68=20']
Exploring Operation: 21-20=1, Resulting Numbers: [10, 1]
Generated Node #0,2,0: 51:[10, 1] Operation: 21-20=1
Exploring Operation: 20-10=10, Resulting Numbers: [21, 10]
Generated Node #0,2,1: 51:[21, 10] Operation: 20-10=10
Exploring Operation: 20/10=2, Resulting Numbers: [21, 2]
Generated Node #0,2,2: 51:[21, 2] Operation: 20/10=2
Exploring Operation: 21-10=11, Resulting Numbers: [20, 11]
Generated Node #0,2,3: 51:[20, 11] Operation: 21-10=11
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 51:[21, 2], Operations: ['88-68=20', '20/10=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,51 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,51 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 51:[10, 1], Operations: ['88-68=20', '21-20=1']
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 51:[20, 11], Operations: ['88-68=20', '21-10=11']
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,51 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,51 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 51:[21, 10], Operations: ['88-68=20', '20-10=10']
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,51 unequal: No Solution
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,51 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[68, 10, 67], Operations: ['88-21=67']
Exploring Operation: 68-10=58, Resulting Numbers: [67, 58]
Generated Node #0,1,0: 51:[67, 58] Operation: 68-10=58
Exploring Operation: 68-67=1, Resulting Numbers: [10, 1]
Generated Node #0,1,1: 51:[10, 1] Operation: 68-67=1
Exploring Operation: 68+10=78, Resulting Numbers: [67, 78]
Generated Node #0,1,2: 51:[67, 78] Operation: 68+10=78
Exploring Operation: 67-10=57, Resulting Numbers: [68, 57]
Generated Node #0,1,3: 51:[68, 57] Operation: 67-10=57
Moving to Node #0,1,1
Current State: 51:[10, 1], Operations: ['88-21=67', '68-67=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Moving to Node #0,1,3
Current State: 51:[68, 57], Operations: ['88-21=67', '67-10=57']
Exploring Operation: 68+57=125, Resulting Numbers: [125]
125,51 unequal: No Solution
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 68*57=3876, Resulting Numbers: [3876]
3876,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[67, 58], Operations: ['88-21=67', '68-10=58']
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 67*58=3886, Resulting Numbers: [3886]
3886,51 unequal: No Solution
Exploring Operation: 67+58=125, Resulting Numbers: [125]
125,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[67, 78], Operations: ['88-21=67', '68+10=78']
Exploring Operation: 78-67=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 67*78=5226, Resulting Numbers: [5226]
5226,51 unequal: No Solution
Exploring Operation: 67+78=145, Resulting Numbers: [145]
145,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[68, 21, 78], Operations: ['88-10=78']
Exploring Operation: 68+21=89, Resulting Numbers: [78, 89]
Generated Node #0,0,0: 51:[78, 89] Operation: 68+21=89
Exploring Operation: 78-68=10, Resulting Numbers: [21, 10]
Generated Node #0,0,1: 51:[21, 10] Operation: 78-68=10
Exploring Operation: 78-21=57, Resulting Numbers: [68, 57]
Generated Node #0,0,2: 51:[68, 57] Operation: 78-21=57
Exploring Operation: 68-21=47, Resulting Numbers: [78, 47]
Generated Node #0,0,3: 51:[78, 47] Operation: 68-21=47
Moving to Node #0,0,1
Current State: 51:[21, 10], Operations: ['88-10=78', '78-68=10']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,51 unequal: No Solution
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[68, 57], Operations: ['88-10=78', '78-21=57']
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 68*57=3876, Resulting Numbers: [3876]
3876,51 unequal: No Solution
Exploring Operation: 68+57=125, Resulting Numbers: [125]
125,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[78, 47], Operations: ['88-10=78', '68-21=47']
Exploring Operation: 78+47=125, Resulting Numbers: [125]
125,51 unequal: No Solution
Exploring Operation: 78-47=31, Resulting Numbers: [31]
31,51 unequal: No Solution
Exploring Operation: 78*47=3666, Resulting Numbers: [3666]
3666,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[78, 89], Operations: ['88-10=78', '68+21=89']
Exploring Operation: 89-78=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 78*89=6942, Resulting Numbers: [6942]
6942,51 unequal: No Solution
Exploring Operation: 78+89=167, Resulting Numbers: [167]
167,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[88, 10, 47], Operations: ['68-21=47']
Exploring Operation: 88-47=41, Resulting Numbers: [10, 41]
Generated Node #0,3,0: 51:[10, 41] Operation: 88-47=41
Exploring Operation: 10+47=57, Resulting Numbers: [88, 57]
Generated Node #0,3,1: 51:[88, 57] Operation: 10+47=57
Exploring Operation: 88-10=78, Resulting Numbers: [47, 78]
Generated Node #0,3,2: 51:[47, 78] Operation: 88-10=78
Exploring Operation: 88+10=98, Resulting Numbers: [47, 98]
Generated Node #0,3,3: 51:[47, 98] Operation: 88+10=98
Moving to Node #0,3,0
Current State: 51:[10, 41], Operations: ['68-21=47', '88-47=41']
Exploring Operation: 10+41=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[88, 68, 21, 10], Operations: []
Exploring Operation: 68-21=47, Resulting Numbers: [88, 10, 47]
Generated Node #0,3: 51:[88, 10, 47] Operation: 68-21=47
Moving to Node #0,3
Current State: 51:[88, 10, 47], Operations: ['68-21=47']
Exploring Operation: 88-47=41, Resulting Numbers: [10, 41]
Generated Node #0,3,0: 51:[10, 41] Operation: 88-47=41
Moving to Node #0,3,0
Current State: 51:[10, 41], Operations: ['68-21=47', '88-47=41']
Exploring Operation: 10+41=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.945313 | hs_4 | sum_heuristic |
[
86,
30,
34,
21
] | 54 | [
"86*21=1806",
"30+1806=1836",
"1836/34=54"
] | Current State: 54:[86, 30, 34, 21], Operations: []
Exploring Operation: 86*21=1806, Resulting Numbers: [30, 34, 1806]
Generated Node #2: [30, 34, 1806] from Operation: 86*21=1806
Current State: 54:[30, 34, 1806], Operations: ['86*21=1806']
Exploring Operation: 30+1806=1836, Resulting Numbers: [34, 1836]
Generated Node #3: [34, 1836] from Operation: 30+1806=1836
Current State: 54:[34, 1836], Operations: ['86*21=1806', '30+1806=1836']
Exploring Operation: 1836/34=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[86, 30, 34, 21], Operations: []
Exploring Operation: 86-30=56, Resulting Numbers: [34, 21, 56]
Generated Node #0,0: 54:[34, 21, 56] Operation: 86-30=56
Exploring Operation: 86-34=52, Resulting Numbers: [30, 21, 52]
Generated Node #0,1: 54:[30, 21, 52] Operation: 86-34=52
Moving to Node #0,1
Current State: 54:[30, 21, 52], Operations: ['86-34=52']
Exploring Operation: 30-21=9, Resulting Numbers: [52, 9]
Generated Node #0,1,0: 54:[52, 9] Operation: 30-21=9
Exploring Operation: 30+21=51, Resulting Numbers: [52, 51]
Generated Node #0,1,1: 54:[52, 51] Operation: 30+21=51
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 54:[52, 9], Operations: ['86-34=52', '30-21=9']
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,54 unequal: No Solution
Exploring Operation: 52+9=61, Resulting Numbers: [61]
61,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 54:[52, 51], Operations: ['86-34=52', '30+21=51']
Exploring Operation: 52+51=103, Resulting Numbers: [103]
103,54 unequal: No Solution
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,54 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: 54:[34, 21, 56], Operations: ['86-30=56']
Exploring Operation: 34-21=13, Resulting Numbers: [56, 13]
Generated Node #0,0,0: 54:[56, 13] Operation: 34-21=13
Exploring Operation: 34+21=55, Resulting Numbers: [56, 55]
Generated Node #0,0,1: 54:[56, 55] Operation: 34+21=55
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[56, 55], Operations: ['86-30=56', '34+21=55']
Exploring Operation: 56+55=111, Resulting Numbers: [111]
111,54 unequal: No Solution
Exploring Operation: 56-55=1, Resulting Numbers: [1]
1,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[56, 13], Operations: ['86-30=56', '34-21=13']
Exploring Operation: 56+13=69, Resulting Numbers: [69]
69,54 unequal: No Solution
Exploring Operation: 56-13=43, Resulting Numbers: [43]
43,54 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 |
[
44,
69,
8,
84
] | 33 | [
"44*69=3036",
"8+84=92",
"3036/92=33"
] | Current State: 33:[44, 69, 8, 84], Operations: []
Exploring Operation: 44*69=3036, Resulting Numbers: [8, 84, 3036]
Generated Node #2: [8, 84, 3036] from Operation: 44*69=3036
Current State: 33:[8, 84, 3036], Operations: ['44*69=3036']
Exploring Operation: 8+84=92, Resulting Numbers: [3036, 92]
Generated Node #3: [3036, 92] from Operation: 8+84=92
Current State: 33:[3036, 92], Operations: ['44*69=3036', '8+84=92']
Exploring Operation: 3036/92=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[44, 69, 8, 84], Operations: []
Exploring Operation: 84-44=40, Resulting Numbers: [69, 8, 40]
Generated Node #0,0: 33:[69, 8, 40] Operation: 84-44=40
Exploring Operation: 84-69=15, Resulting Numbers: [44, 8, 15]
Generated Node #0,1: 33:[44, 8, 15] Operation: 84-69=15
Moving to Node #0,1
Current State: 33:[44, 8, 15], Operations: ['84-69=15']
Exploring Operation: 44-8=36, Resulting Numbers: [15, 36]
Generated Node #0,1,0: 33:[15, 36] Operation: 44-8=36
Exploring Operation: 44-15=29, Resulting Numbers: [8, 29]
Generated Node #0,1,1: 33:[8, 29] Operation: 44-15=29
Moving to Node #0,0
Current State: 33:[69, 8, 40], Operations: ['84-44=40']
Exploring Operation: 69-8=61, Resulting Numbers: [40, 61]
Generated Node #0,0,0: 33:[40, 61] Operation: 69-8=61
Exploring Operation: 69-40=29, Resulting Numbers: [8, 29]
Generated Node #0,0,1: 33:[8, 29] Operation: 69-40=29
Moving to Node #0,1,0
Current State: 33:[15, 36], Operations: ['84-69=15', '44-8=36']
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[8, 29], Operations: ['84-44=40', '69-40=29']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[8, 29], Operations: ['84-69=15', '44-15=29']
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,33 unequal: No Solution
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[40, 61], Operations: ['84-44=40', '69-8=61']
Exploring Operation: 40+61=101, Resulting Numbers: [101]
101,33 unequal: No Solution
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,33 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
68,
2,
88,
87
] | 77 | [
"88-68=20",
"20/2=10",
"87-10=77"
] | Current State: 77:[68, 2, 88, 87], Operations: []
Exploring Operation: 88-68=20, Resulting Numbers: [2, 87, 20]
Generated Node #2: [2, 87, 20] from Operation: 88-68=20
Current State: 77:[2, 87, 20], Operations: ['88-68=20']
Exploring Operation: 20/2=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 20/2=10
Current State: 77:[87, 10], Operations: ['88-68=20', '20/2=10']
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[68, 2, 88, 87], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [68, 2, 1]
Generated Node #0,0: 77:[68, 2, 1] Operation: 88-87=1
Exploring Operation: 88-68=20, Resulting Numbers: [2, 87, 20]
Generated Node #0,1: 77:[2, 87, 20] Operation: 88-68=20
Moving to Node #0,0
Current State: 77:[68, 2, 1], Operations: ['88-87=1']
Exploring Operation: 68+2=70, Resulting Numbers: [1, 70]
Generated Node #0,0,0: 77:[1, 70] Operation: 68+2=70
Exploring Operation: 68+1=69, Resulting Numbers: [2, 69]
Generated Node #0,0,1: 77:[2, 69] Operation: 68+1=69
Moving to Node #0,1
Current State: 77:[2, 87, 20], Operations: ['88-68=20']
Exploring Operation: 87-20=67, Resulting Numbers: [2, 67]
Generated Node #0,1,0: 77:[2, 67] Operation: 87-20=67
Exploring Operation: 20/2=10, Resulting Numbers: [87, 10]
Generated Node #0,1,1: 77:[87, 10] Operation: 20/2=10
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[87, 10], Operations: ['88-68=20', '20/2=10']
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,77 unequal: No Solution
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[68, 2, 88, 87], Operations: []
Exploring Operation: 88-68=20, Resulting Numbers: [2, 87, 20]
Generated Node #0,1: 77:[2, 87, 20] Operation: 88-68=20
Moving to Node #0,1
Current State: 77:[2, 87, 20], Operations: ['88-68=20']
Exploring Operation: 20/2=10, Resulting Numbers: [87, 10]
Generated Node #0,1,1: 77:[87, 10] Operation: 20/2=10
Moving to Node #0,1,1
Current State: 77:[87, 10], Operations: ['88-68=20', '20/2=10']
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
8,
16,
26,
24
] | 39 | [
"24/8=3",
"16+26=42",
"42-3=39"
] | Current State: 39:[8, 16, 26, 24], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [16, 26, 3]
Generated Node #2: [16, 26, 3] from Operation: 24/8=3
Current State: 39:[16, 26, 3], Operations: ['24/8=3']
Exploring Operation: 16+26=42, Resulting Numbers: [3, 42]
Generated Node #3: [3, 42] from Operation: 16+26=42
Current State: 39:[3, 42], Operations: ['24/8=3', '16+26=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[8, 16, 26, 24], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [8, 16, 2]
Generated Node #0,0: 39:[8, 16, 2] Operation: 26-24=2
Exploring Operation: 24/8=3, Resulting Numbers: [16, 26, 3]
Generated Node #0,1: 39:[16, 26, 3] Operation: 24/8=3
Exploring Operation: 8+26=34, Resulting Numbers: [16, 24, 34]
Generated Node #0,2: 39:[16, 24, 34] Operation: 8+26=34
Exploring Operation: 26-8=18, Resulting Numbers: [16, 24, 18]
Generated Node #0,3: 39:[16, 24, 18] Operation: 26-8=18
Moving to Node #0,0
Current State: 39:[8, 16, 2], Operations: ['26-24=2']
Exploring Operation: 8+2=10, Resulting Numbers: [16, 10]
Generated Node #0,0,0: 39:[16, 10] Operation: 8+2=10
Exploring Operation: 8/2=4, Resulting Numbers: [16, 4]
Generated Node #0,0,1: 39:[16, 4] Operation: 8/2=4
Exploring Operation: 16/8=2, Resulting Numbers: [2, 2]
Generated Node #0,0,2: 39:[2, 2] Operation: 16/8=2
Exploring Operation: 16-8=8, Resulting Numbers: [2, 8]
Generated Node #0,0,3: 39:[2, 8] Operation: 16-8=8
Moving to Node #0,1
Current State: 39:[16, 26, 3], Operations: ['24/8=3']
Exploring Operation: 16-3=13, Resulting Numbers: [26, 13]
Generated Node #0,1,0: 39:[26, 13] Operation: 16-3=13
Exploring Operation: 26+3=29, Resulting Numbers: [16, 29]
Generated Node #0,1,1: 39:[16, 29] Operation: 26+3=29
Exploring Operation: 16+26=42, Resulting Numbers: [3, 42]
Generated Node #0,1,2: 39:[3, 42] Operation: 16+26=42
Exploring Operation: 26-16=10, Resulting Numbers: [3, 10]
Generated Node #0,1,3: 39:[3, 10] Operation: 26-16=10
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 39:[3, 42], Operations: ['24/8=3', '16+26=42']
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,39 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[8, 16, 26, 24], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [16, 26, 3]
Generated Node #0,1: 39:[16, 26, 3] Operation: 24/8=3
Moving to Node #0,1
Current State: 39:[16, 26, 3], Operations: ['24/8=3']
Exploring Operation: 16+26=42, Resulting Numbers: [3, 42]
Generated Node #0,1,2: 39:[3, 42] Operation: 16+26=42
Moving to Node #0,1,2
Current State: 39:[3, 42], Operations: ['24/8=3', '16+26=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
78,
35,
25,
70
] | 28 | [
"70/35=2",
"25*2=50",
"78-50=28"
] | Current State: 28:[78, 35, 25, 70], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [78, 25, 2]
Generated Node #2: [78, 25, 2] from Operation: 70/35=2
Current State: 28:[78, 25, 2], Operations: ['70/35=2']
Exploring Operation: 25*2=50, Resulting Numbers: [78, 50]
Generated Node #3: [78, 50] from Operation: 25*2=50
Current State: 28:[78, 50], Operations: ['70/35=2', '25*2=50']
Exploring Operation: 78-50=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[78, 35, 25, 70], Operations: []
Exploring Operation: 78-35=43, Resulting Numbers: [25, 70, 43]
Generated Node #0,0: 28:[25, 70, 43] Operation: 78-35=43
Exploring Operation: 70/35=2, Resulting Numbers: [78, 25, 2]
Generated Node #0,1: 28:[78, 25, 2] Operation: 70/35=2
Exploring Operation: 78-70=8, Resulting Numbers: [35, 25, 8]
Generated Node #0,2: 28:[35, 25, 8] Operation: 78-70=8
Moving to Node #0,2
Current State: 28:[35, 25, 8], Operations: ['78-70=8']
Exploring Operation: 35-8=27, Resulting Numbers: [25, 27]
Generated Node #0,2,0: 28:[25, 27] Operation: 35-8=27
Exploring Operation: 35-25=10, Resulting Numbers: [8, 10]
Generated Node #0,2,1: 28:[8, 10] Operation: 35-25=10
Exploring Operation: 25-8=17, Resulting Numbers: [35, 17]
Generated Node #0,2,2: 28:[35, 17] Operation: 25-8=17
Moving to Node #0,1
Current State: 28:[78, 25, 2], Operations: ['70/35=2']
Exploring Operation: 78-2=76, Resulting Numbers: [25, 76]
Generated Node #0,1,0: 28:[25, 76] Operation: 78-2=76
Exploring Operation: 78-25=53, Resulting Numbers: [2, 53]
Generated Node #0,1,1: 28:[2, 53] Operation: 78-25=53
Exploring Operation: 78/2=39, Resulting Numbers: [25, 39]
Generated Node #0,1,2: 28:[25, 39] Operation: 78/2=39
Moving to Node #0,0
Current State: 28:[25, 70, 43], Operations: ['78-35=43']
Exploring Operation: 70-43=27, Resulting Numbers: [25, 27]
Generated Node #0,0,0: 28:[25, 27] Operation: 70-43=27
Exploring Operation: 70-25=45, Resulting Numbers: [43, 45]
Generated Node #0,0,1: 28:[43, 45] Operation: 70-25=45
Exploring Operation: 43-25=18, Resulting Numbers: [70, 18]
Generated Node #0,0,2: 28:[70, 18] Operation: 43-25=18
Moving to Node #0,2,0
Current State: 28:[25, 27], Operations: ['78-70=8', '35-8=27']
Exploring Operation: 27-25=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 25+27=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 25*27=675, Resulting Numbers: [675]
675,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[25, 27], Operations: ['78-35=43', '70-43=27']
Exploring Operation: 25*27=675, Resulting Numbers: [675]
675,28 unequal: No Solution
Exploring Operation: 27-25=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 25+27=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Moving to Node #0,2,1
Current State: 28:[8, 10], Operations: ['78-70=8', '35-25=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,28 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Moving to Node #0,2,2
Current State: 28:[35, 17], Operations: ['78-70=8', '25-8=17']
Exploring Operation: 35*17=595, Resulting Numbers: [595]
595,28 unequal: No Solution
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Moving to Node #0,1,2
Current State: 28:[25, 39], Operations: ['70/35=2', '78/2=39']
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,28 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 25*39=975, Resulting Numbers: [975]
975,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[2, 53], Operations: ['70/35=2', '78-25=53']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,28 unequal: No Solution
Exploring Operation: 2*53=106, Resulting Numbers: [106]
106,28 unequal: No Solution
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[43, 45], Operations: ['78-35=43', '70-25=45']
Exploring Operation: 43*45=1935, Resulting Numbers: [1935]
1935,28 unequal: No Solution
Exploring Operation: 45-43=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 43+45=88, Resulting Numbers: [88]
88,28 unequal: No Solution
Moving to Node #0,0,2
Current State: 28:[70, 18], Operations: ['78-35=43', '43-25=18']
Exploring Operation: 70-18=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 70+18=88, Resulting Numbers: [88]
88,28 unequal: No Solution
Exploring Operation: 70*18=1260, Resulting Numbers: [1260]
1260,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[25, 76], Operations: ['70/35=2', '78-2=76']
Exploring Operation: 25*76=1900, Resulting Numbers: [1900]
1900,28 unequal: No Solution
Exploring Operation: 25+76=101, Resulting Numbers: [101]
101,28 unequal: No Solution
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,28 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
23,
21,
26,
24
] | 28 | [
"23-21=2",
"26*2=52",
"52-24=28"
] | Current State: 28:[23, 21, 26, 24], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [26, 24, 2]
Generated Node #2: [26, 24, 2] from Operation: 23-21=2
Current State: 28:[26, 24, 2], Operations: ['23-21=2']
Exploring Operation: 26*2=52, Resulting Numbers: [24, 52]
Generated Node #3: [24, 52] from Operation: 26*2=52
Current State: 28:[24, 52], Operations: ['23-21=2', '26*2=52']
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[23, 21, 26, 24], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [23, 24, 5]
Generated Node #0,0: 28:[23, 24, 5] Operation: 26-21=5
Exploring Operation: 23-21=2, Resulting Numbers: [26, 24, 2]
Generated Node #0,1: 28:[26, 24, 2] Operation: 23-21=2
Exploring Operation: 24-21=3, Resulting Numbers: [23, 26, 3]
Generated Node #0,2: 28:[23, 26, 3] Operation: 24-21=3
Exploring Operation: 24-23=1, Resulting Numbers: [21, 26, 1]
Generated Node #0,3: 28:[21, 26, 1] Operation: 24-23=1
Moving to Node #0,1
Current State: 28:[26, 24, 2], Operations: ['23-21=2']
Exploring Operation: 26+2=28, Resulting Numbers: [24, 28]
Generated Node #0,1,0: 28:[24, 28] Operation: 26+2=28
Exploring Operation: 26-24=2, Resulting Numbers: [2, 2]
Generated Node #0,1,1: 28:[2, 2] Operation: 26-24=2
Exploring Operation: 24+2=26, Resulting Numbers: [26, 26]
Generated Node #0,1,2: 28:[26, 26] Operation: 24+2=26
Exploring Operation: 24/2=12, Resulting Numbers: [26, 12]
Generated Node #0,1,3: 28:[26, 12] Operation: 24/2=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[2, 2], Operations: ['23-21=2', '26-24=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,28 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[24, 28], Operations: ['23-21=2', '26+2=28']
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 24*28=672, Resulting Numbers: [672]
672,28 unequal: No Solution
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 28:[26, 26], Operations: ['23-21=2', '24+2=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,28 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 28:[26, 12], Operations: ['23-21=2', '24/2=12']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 26*12=312, Resulting Numbers: [312]
312,28 unequal: No Solution
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,28 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: 28:[23, 26, 3], Operations: ['24-21=3']
Exploring Operation: 23-3=20, Resulting Numbers: [26, 20]
Generated Node #0,2,0: 28:[26, 20] Operation: 23-3=20
Exploring Operation: 23+3=26, Resulting Numbers: [26, 26]
Generated Node #0,2,1: 28:[26, 26] Operation: 23+3=26
Exploring Operation: 26-23=3, Resulting Numbers: [3, 3]
Generated Node #0,2,2: 28:[3, 3] Operation: 26-23=3
Exploring Operation: 26+3=29, Resulting Numbers: [23, 29]
Generated Node #0,2,3: 28:[23, 29] Operation: 26+3=29
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 28:[3, 3], Operations: ['24-21=3', '26-23=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 28:[26, 26], Operations: ['24-21=3', '23+3=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 28:[23, 29], Operations: ['24-21=3', '26+3=29']
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 23*29=667, Resulting Numbers: [667]
667,28 unequal: No Solution
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 28:[26, 20], Operations: ['24-21=3', '23-3=20']
Exploring Operation: 26+20=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 26*20=520, Resulting Numbers: [520]
520,28 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: 28:[21, 26, 1], Operations: ['24-23=1']
Exploring Operation: 21-1=20, Resulting Numbers: [26, 20]
Generated Node #0,3,0: 28:[26, 20] Operation: 21-1=20
Exploring Operation: 26-21=5, Resulting Numbers: [1, 5]
Generated Node #0,3,1: 28:[1, 5] Operation: 26-21=5
Exploring Operation: 21+1=22, Resulting Numbers: [26, 22]
Generated Node #0,3,2: 28:[26, 22] Operation: 21+1=22
Exploring Operation: 26+1=27, Resulting Numbers: [21, 27]
Generated Node #0,3,3: 28:[21, 27] Operation: 26+1=27
Moving to Node #0,0
Current State: 28:[23, 24, 5], Operations: ['26-21=5']
Exploring Operation: 24-23=1, Resulting Numbers: [5, 1]
Generated Node #0,0,0: 28:[5, 1] Operation: 24-23=1
Exploring Operation: 24+5=29, Resulting Numbers: [23, 29]
Generated Node #0,0,1: 28:[23, 29] Operation: 24+5=29
Exploring Operation: 23+5=28, Resulting Numbers: [24, 28]
Generated Node #0,0,2: 28:[24, 28] Operation: 23+5=28
Exploring Operation: 23-5=18, Resulting Numbers: [24, 18]
Generated Node #0,0,3: 28:[24, 18] Operation: 23-5=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[5, 1], Operations: ['26-21=5', '24-23=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,28 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 28:[24, 28], Operations: ['26-21=5', '23+5=28']
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,28 unequal: No Solution
Exploring Operation: 24*28=672, Resulting Numbers: [672]
672,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 28:[23, 29], Operations: ['26-21=5', '24+5=29']
Exploring Operation: 23*29=667, Resulting Numbers: [667]
667,28 unequal: No Solution
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 28:[24, 18], Operations: ['26-21=5', '23-5=18']
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 24*18=432, Resulting Numbers: [432]
432,28 unequal: No Solution
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,28 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: 28:[1, 5], Operations: ['24-23=1', '26-21=5']
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,28 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Moving to Node #0,3,2
Current State: 28:[26, 22], Operations: ['24-23=1', '21+1=22']
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,28 unequal: No Solution
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,28 unequal: No Solution
Exploring Operation: 26*22=572, Resulting Numbers: [572]
572,28 unequal: No Solution
Moving to Node #0,3,0
Current State: 28:[26, 20], Operations: ['24-23=1', '21-1=20']
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 26*20=520, Resulting Numbers: [520]
520,28 unequal: No Solution
Exploring Operation: 26+20=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Moving to Node #0,3,3
Current State: 28:[21, 27], Operations: ['24-23=1', '26+1=27']
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,28 unequal: No Solution
Exploring Operation: 21*27=567, Resulting Numbers: [567]
567,28 unequal: No Solution
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,28 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
14,
88,
20,
11
] | 22 | [
"20-14=6",
"11*6=66",
"88-66=22"
] | Current State: 22:[14, 88, 20, 11], Operations: []
Exploring Operation: 20-14=6, Resulting Numbers: [88, 11, 6]
Generated Node #2: [88, 11, 6] from Operation: 20-14=6
Current State: 22:[88, 11, 6], Operations: ['20-14=6']
Exploring Operation: 11*6=66, Resulting Numbers: [88, 66]
Generated Node #3: [88, 66] from Operation: 11*6=66
Current State: 22:[88, 66], Operations: ['20-14=6', '11*6=66']
Exploring Operation: 88-66=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[14, 88, 20, 11], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [14, 20, 8]
Generated Node #0,0: 22:[14, 20, 8] Operation: 88/11=8
Exploring Operation: 88-20=68, Resulting Numbers: [14, 11, 68]
Generated Node #0,1: 22:[14, 11, 68] Operation: 88-20=68
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[14, 20, 8], Operations: ['88/11=8']
Exploring Operation: 14+8=22, Resulting Numbers: [20, 22]
Generated Node #0,0,0: 22:[20, 22] Operation: 14+8=22
Exploring Operation: 20-8=12, Resulting Numbers: [14, 12]
Generated Node #0,0,1: 22:[14, 12] Operation: 20-8=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[20, 22], Operations: ['88/11=8', '14+8=22']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 22:[14, 12], Operations: ['88/11=8', '20-8=12']
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[14, 11, 68], Operations: ['88-20=68']
Exploring Operation: 68-11=57, Resulting Numbers: [14, 57]
Generated Node #0,1,0: 22:[14, 57] Operation: 68-11=57
Exploring Operation: 68-14=54, Resulting Numbers: [11, 54]
Generated Node #0,1,1: 22:[11, 54] Operation: 68-14=54
Moving to Node #0,1,1
Current State: 22:[11, 54], Operations: ['88-20=68', '68-14=54']
Exploring Operation: 11+54=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[14, 57], Operations: ['88-20=68', '68-11=57']
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,22 unequal: No Solution
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
2,
15,
15,
23
] | 24 | [
"2+23=25",
"15/15=1",
"25-1=24"
] | Current State: 24:[2, 15, 15, 23], Operations: []
Exploring Operation: 2+23=25, Resulting Numbers: [15, 15, 25]
Generated Node #2: [15, 15, 25] from Operation: 2+23=25
Current State: 24:[15, 15, 25], Operations: ['2+23=25']
Exploring Operation: 15/15=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 15/15=1
Current State: 24:[25, 1], Operations: ['2+23=25', '15/15=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[2, 15, 15, 23], Operations: []
Exploring Operation: 15-2=13, Resulting Numbers: [15, 23, 13]
Generated Node #0,0: 24:[15, 23, 13] Operation: 15-2=13
Exploring Operation: 23-15=8, Resulting Numbers: [2, 15, 8]
Generated Node #0,1: 24:[2, 15, 8] Operation: 23-15=8
Exploring Operation: 15-15=0, Resulting Numbers: [2, 23, 0]
Generated Node #0,2: 24:[2, 23, 0] Operation: 15-15=0
Exploring Operation: 23-15=8, Resulting Numbers: [2, 15, 8]
Generated Node #0,3: 24:[2, 15, 8] Operation: 23-15=8
Exploring Operation: 15/15=1, Resulting Numbers: [2, 23, 1]
Generated Node #0,4: 24:[2, 23, 1] Operation: 15/15=1
Moving to Node #0,4
Current State: 24:[2, 23, 1], Operations: ['15/15=1']
Exploring Operation: 2*1=2, Resulting Numbers: [23, 2]
Generated Node #0,4,0: 24:[23, 2] Operation: 2*1=2
Exploring Operation: 2+1=3, Resulting Numbers: [23, 3]
Generated Node #0,4,1: 24:[23, 3] Operation: 2+1=3
Exploring Operation: 23*1=23, Resulting Numbers: [2, 23]
Generated Node #0,4,2: 24:[2, 23] Operation: 23*1=23
Exploring Operation: 23+1=24, Resulting Numbers: [2, 24]
Generated Node #0,4,3: 24:[2, 24] Operation: 23+1=24
Exploring Operation: 2/1=2, Resulting Numbers: [23, 2]
Generated Node #0,4,4: 24:[23, 2] Operation: 2/1=2
Moving to Node #0,2
Current State: 24:[2, 23, 0], Operations: ['15-15=0']
Exploring Operation: 23*0=0, Resulting Numbers: [2, 0]
Generated Node #0,2,0: 24:[2, 0] Operation: 23*0=0
Exploring Operation: 2-0=2, Resulting Numbers: [23, 2]
Generated Node #0,2,1: 24:[23, 2] Operation: 2-0=2
Exploring Operation: 23-0=23, Resulting Numbers: [2, 23]
Generated Node #0,2,2: 24:[2, 23] Operation: 23-0=23
Exploring Operation: 23+0=23, Resulting Numbers: [2, 23]
Generated Node #0,2,3: 24:[2, 23] Operation: 23+0=23
Exploring Operation: 2+0=2, Resulting Numbers: [23, 2]
Generated Node #0,2,4: 24:[23, 2] Operation: 2+0=2
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 24:[23, 2], Operations: ['15-15=0', '2-0=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 24:[2, 23], Operations: ['15-15=0', '23-0=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,24 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 24:[2, 23], Operations: ['15-15=0', '23+0=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 24:[23, 2], Operations: ['15-15=0', '2+0=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,24 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 24:[2, 0], Operations: ['15-15=0', '23*0=0']
Exploring Operation: 2+0=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 2*0=0, Resulting Numbers: [0]
0,24 unequal: No Solution
Exploring Operation: 2-0=2, Resulting Numbers: [2]
2,24 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: 24:[2, 15, 8], Operations: ['23-15=8']
Exploring Operation: 15-8=7, Resulting Numbers: [2, 7]
Generated Node #0,1,0: 24:[2, 7] Operation: 15-8=7
Exploring Operation: 15-2=13, Resulting Numbers: [8, 13]
Generated Node #0,1,1: 24:[8, 13] Operation: 15-2=13
Exploring Operation: 15+8=23, Resulting Numbers: [2, 23]
Generated Node #0,1,2: 24:[2, 23] Operation: 15+8=23
Exploring Operation: 8/2=4, Resulting Numbers: [15, 4]
Generated Node #0,1,3: 24:[15, 4] Operation: 8/2=4
Exploring Operation: 8-2=6, Resulting Numbers: [15, 6]
Generated Node #0,1,4: 24:[15, 6] Operation: 8-2=6
Moving to Node #0,3
Current State: 24:[2, 15, 8], Operations: ['23-15=8']
Exploring Operation: 15-2=13, Resulting Numbers: [8, 13]
Generated Node #0,3,0: 24:[8, 13] Operation: 15-2=13
Exploring Operation: 15-8=7, Resulting Numbers: [2, 7]
Generated Node #0,3,1: 24:[2, 7] Operation: 15-8=7
Exploring Operation: 8-2=6, Resulting Numbers: [15, 6]
Generated Node #0,3,2: 24:[15, 6] Operation: 8-2=6
Exploring Operation: 15+8=23, Resulting Numbers: [2, 23]
Generated Node #0,3,3: 24:[2, 23] Operation: 15+8=23
Exploring Operation: 8/2=4, Resulting Numbers: [15, 4]
Generated Node #0,3,4: 24:[15, 4] Operation: 8/2=4
Moving to Node #0,0
Current State: 24:[15, 23, 13], Operations: ['15-2=13']
Exploring Operation: 15+13=28, Resulting Numbers: [23, 28]
Generated Node #0,0,0: 24:[23, 28] Operation: 15+13=28
Exploring Operation: 15-13=2, Resulting Numbers: [23, 2]
Generated Node #0,0,1: 24:[23, 2] Operation: 15-13=2
Exploring Operation: 23-13=10, Resulting Numbers: [15, 10]
Generated Node #0,0,2: 24:[15, 10] Operation: 23-13=10
Exploring Operation: 15+23=38, Resulting Numbers: [13, 38]
Generated Node #0,0,3: 24:[13, 38] Operation: 15+23=38
Exploring Operation: 23-15=8, Resulting Numbers: [13, 8]
Generated Node #0,0,4: 24:[13, 8] Operation: 23-15=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 24:[23, 2], Operations: ['15-2=13', '15-13=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 24:[13, 8], Operations: ['15-2=13', '23-15=8']
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[23, 28], Operations: ['15-2=13', '15+13=28']
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 23*28=644, Resulting Numbers: [644]
644,24 unequal: No Solution
Exploring Operation: 23+28=51, Resulting Numbers: [51]
51,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 24:[15, 10], Operations: ['15-2=13', '23-13=10']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 24:[13, 38], Operations: ['15-2=13', '15+23=38']
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,24 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,3
Current State: 24:[2, 24], Operations: ['15/15=1', '23+1=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,24 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,24 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,24 unequal: No Solution
Moving to Node #0,4,1
Current State: 24:[23, 3], Operations: ['15/15=1', '2+1=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,24 unequal: No Solution
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[8, 13], Operations: ['23-15=8', '15-2=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,24 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[2, 7], Operations: ['23-15=8', '15-8=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Moving to Node #0,3,3
Current State: 24:[2, 23], Operations: ['23-15=8', '15+8=23']
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[2, 7], Operations: ['23-15=8', '15-8=7']
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[8, 13], Operations: ['23-15=8', '15-2=13']
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,24 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Moving to Node #0,4,0
Current State: 24:[23, 2], Operations: ['15/15=1', '2*1=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,24 unequal: No Solution
Moving to Node #0,4,4
Current State: 24:[23, 2], Operations: ['15/15=1', '2/1=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,24 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Moving to Node #0,4,2
Current State: 24:[2, 23], Operations: ['15/15=1', '23*1=23']
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,24 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[2, 23], Operations: ['23-15=8', '15+8=23']
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,24 unequal: No Solution
Moving to Node #0,3,2
Current State: 24:[15, 6], Operations: ['23-15=8', '8-2=6']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,24 unequal: No Solution
Moving to Node #0,3,4
Current State: 24:[15, 4], Operations: ['23-15=8', '8/2=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,24 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Moving to Node #0,1,3
Current State: 24:[15, 4], Operations: ['23-15=8', '8/2=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,24 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Moving to Node #0,1,4
Current State: 24:[15, 6], Operations: ['23-15=8', '8-2=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,24 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,24 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
92,
15,
4,
13
] | 55 | [
"92+15=107",
"4*13=52",
"107-52=55"
] | Current State: 55:[92, 15, 4, 13], Operations: []
Exploring Operation: 92+15=107, Resulting Numbers: [4, 13, 107]
Generated Node #2: [4, 13, 107] from Operation: 92+15=107
Current State: 55:[4, 13, 107], Operations: ['92+15=107']
Exploring Operation: 4*13=52, Resulting Numbers: [107, 52]
Generated Node #3: [107, 52] from Operation: 4*13=52
Current State: 55:[107, 52], Operations: ['92+15=107', '4*13=52']
Exploring Operation: 107-52=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[92, 15, 4, 13], Operations: []
Exploring Operation: 92-13=79, Resulting Numbers: [15, 4, 79]
Generated Node #0,0: 55:[15, 4, 79] Operation: 92-13=79
Exploring Operation: 92-15=77, Resulting Numbers: [4, 13, 77]
Generated Node #0,1: 55:[4, 13, 77] Operation: 92-15=77
Exploring Operation: 15-4=11, Resulting Numbers: [92, 13, 11]
Generated Node #0,2: 55:[92, 13, 11] Operation: 15-4=11
Exploring Operation: 92-4=88, Resulting Numbers: [15, 13, 88]
Generated Node #0,3: 55:[15, 13, 88] Operation: 92-4=88
Exploring Operation: 92/4=23, Resulting Numbers: [15, 13, 23]
Generated Node #0,4: 55:[15, 13, 23] Operation: 92/4=23
Start Sub Search at level 1: Moving to Node #0,4
Current State: 55:[15, 13, 23], Operations: ['92/4=23']
Exploring Operation: 15+23=38, Resulting Numbers: [13, 38]
Generated Node #0,4,0: 55:[13, 38] Operation: 15+23=38
Exploring Operation: 23-15=8, Resulting Numbers: [13, 8]
Generated Node #0,4,1: 55:[13, 8] Operation: 23-15=8
Exploring Operation: 23-13=10, Resulting Numbers: [15, 10]
Generated Node #0,4,2: 55:[15, 10] Operation: 23-13=10
Exploring Operation: 13+23=36, Resulting Numbers: [15, 36]
Generated Node #0,4,3: 55:[15, 36] Operation: 13+23=36
Exploring Operation: 15-13=2, Resulting Numbers: [23, 2]
Generated Node #0,4,4: 55:[23, 2] Operation: 15-13=2
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 55:[13, 8], Operations: ['92/4=23', '23-15=8']
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,55 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 55:[15, 10], Operations: ['92/4=23', '23-13=10']
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,55 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 55:[23, 2], Operations: ['92/4=23', '15-13=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 55:[13, 38], Operations: ['92/4=23', '15+23=38']
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,55 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 55:[15, 36], Operations: ['92/4=23', '13+23=36']
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 15*36=540, Resulting Numbers: [540]
540,55 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[4, 13, 77], Operations: ['92-15=77']
Exploring Operation: 77-13=64, Resulting Numbers: [4, 64]
Generated Node #0,1,0: 55:[4, 64] Operation: 77-13=64
Exploring Operation: 77-4=73, Resulting Numbers: [13, 73]
Generated Node #0,1,1: 55:[13, 73] Operation: 77-4=73
Exploring Operation: 13-4=9, Resulting Numbers: [77, 9]
Generated Node #0,1,2: 55:[77, 9] Operation: 13-4=9
Exploring Operation: 4+13=17, Resulting Numbers: [77, 17]
Generated Node #0,1,3: 55:[77, 17] Operation: 4+13=17
Exploring Operation: 4*13=52, Resulting Numbers: [77, 52]
Generated Node #0,1,4: 55:[77, 52] Operation: 4*13=52
Moving to Node #0,1,0
Current State: 55:[4, 64], Operations: ['92-15=77', '77-13=64']
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,55 unequal: No Solution
Exploring Operation: 4*64=256, Resulting Numbers: [256]
256,55 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[13, 73], Operations: ['92-15=77', '77-4=73']
Exploring Operation: 13+73=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Exploring Operation: 73-13=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Exploring Operation: 13*73=949, Resulting Numbers: [949]
949,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[77, 9], Operations: ['92-15=77', '13-4=9']
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 77+9=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Exploring Operation: 77*9=693, Resulting Numbers: [693]
693,55 unequal: No Solution
Moving to Node #0,1,4
Current State: 55:[77, 52], Operations: ['92-15=77', '4*13=52']
Exploring Operation: 77*52=4004, Resulting Numbers: [4004]
4004,55 unequal: No Solution
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 77+52=129, Resulting Numbers: [129]
129,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[77, 17], Operations: ['92-15=77', '4+13=17']
Exploring Operation: 77+17=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Exploring Operation: 77*17=1309, Resulting Numbers: [1309]
1309,55 unequal: No Solution
Exploring Operation: 77-17=60, Resulting Numbers: [60]
60,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[15, 4, 79], Operations: ['92-13=79']
Exploring Operation: 15+4=19, Resulting Numbers: [79, 19]
Generated Node #0,0,0: 55:[79, 19] Operation: 15+4=19
Exploring Operation: 79-4=75, Resulting Numbers: [15, 75]
Generated Node #0,0,1: 55:[15, 75] Operation: 79-4=75
Exploring Operation: 15-4=11, Resulting Numbers: [79, 11]
Generated Node #0,0,2: 55:[79, 11] Operation: 15-4=11
Exploring Operation: 79-15=64, Resulting Numbers: [4, 64]
Generated Node #0,0,3: 55:[4, 64] Operation: 79-15=64
Exploring Operation: 15*4=60, Resulting Numbers: [79, 60]
Generated Node #0,0,4: 55:[79, 60] Operation: 15*4=60
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 55:[4, 64], Operations: ['92-13=79', '79-15=64']
Exploring Operation: 4*64=256, Resulting Numbers: [256]
256,55 unequal: No Solution
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 55:[15, 75], Operations: ['92-13=79', '79-4=75']
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 15*75=1125, Resulting Numbers: [1125]
1125,55 unequal: No Solution
Exploring Operation: 15+75=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 55:[79, 11], Operations: ['92-13=79', '15-4=11']
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 79+11=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Exploring Operation: 79*11=869, Resulting Numbers: [869]
869,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 55:[79, 60], Operations: ['92-13=79', '15*4=60']
Exploring Operation: 79*60=4740, Resulting Numbers: [4740]
4740,55 unequal: No Solution
Exploring Operation: 79+60=139, Resulting Numbers: [139]
139,55 unequal: No Solution
Exploring Operation: 79-60=19, Resulting Numbers: [19]
19,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[79, 19], Operations: ['92-13=79', '15+4=19']
Exploring Operation: 79*19=1501, Resulting Numbers: [1501]
1501,55 unequal: No Solution
Exploring Operation: 79-19=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Exploring Operation: 79+19=98, Resulting Numbers: [98]
98,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[92, 13, 11], Operations: ['15-4=11']
Exploring Operation: 13-11=2, Resulting Numbers: [92, 2]
Generated Node #0,2,0: 55:[92, 2] Operation: 13-11=2
Exploring Operation: 92+13=105, Resulting Numbers: [11, 105]
Generated Node #0,2,1: 55:[11, 105] Operation: 92+13=105
Exploring Operation: 92+11=103, Resulting Numbers: [13, 103]
Generated Node #0,2,2: 55:[13, 103] Operation: 92+11=103
Exploring Operation: 92-13=79, Resulting Numbers: [11, 79]
Generated Node #0,2,3: 55:[11, 79] Operation: 92-13=79
Exploring Operation: 92-11=81, Resulting Numbers: [13, 81]
Generated Node #0,2,4: 55:[13, 81] Operation: 92-11=81
Moving to Node #0,2,3
Current State: 55:[11, 79], Operations: ['15-4=11', '92-13=79']
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 11+79=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Exploring Operation: 11*79=869, Resulting Numbers: [869]
869,55 unequal: No Solution
Moving to Node #0,2,4
Current State: 55:[13, 81], Operations: ['15-4=11', '92-11=81']
Exploring Operation: 13*81=1053, Resulting Numbers: [1053]
1053,55 unequal: No Solution
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 13+81=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[92, 2], Operations: ['15-4=11', '13-11=2']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Exploring Operation: 92*2=184, Resulting Numbers: [184]
184,55 unequal: No Solution
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[11, 105], Operations: ['15-4=11', '92+13=105']
Exploring Operation: 11*105=1155, Resulting Numbers: [1155]
1155,55 unequal: No Solution
Exploring Operation: 105-11=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Exploring Operation: 11+105=116, Resulting Numbers: [116]
116,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[13, 103], Operations: ['15-4=11', '92+11=103']
Exploring Operation: 13+103=116, Resulting Numbers: [116]
116,55 unequal: No Solution
Exploring Operation: 13*103=1339, Resulting Numbers: [1339]
1339,55 unequal: No Solution
Exploring Operation: 103-13=90, Resulting Numbers: [90]
90,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[15, 13, 88], Operations: ['92-4=88']
Exploring Operation: 88-13=75, Resulting Numbers: [15, 75]
Generated Node #0,3,0: 55:[15, 75] Operation: 88-13=75
Exploring Operation: 88-15=73, Resulting Numbers: [13, 73]
Generated Node #0,3,1: 55:[13, 73] Operation: 88-15=73
Exploring Operation: 15+88=103, Resulting Numbers: [13, 103]
Generated Node #0,3,2: 55:[13, 103] Operation: 15+88=103
Exploring Operation: 15+13=28, Resulting Numbers: [88, 28]
Generated Node #0,3,3: 55:[88, 28] Operation: 15+13=28
Exploring Operation: 15-13=2, Resulting Numbers: [88, 2]
Generated Node #0,3,4: 55:[88, 2] Operation: 15-13=2
Moving to Node #0,3,1
Current State: 55:[13, 73], Operations: ['92-4=88', '88-15=73']
Exploring Operation: 73-13=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Exploring Operation: 13+73=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Exploring Operation: 13*73=949, Resulting Numbers: [949]
949,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[15, 75], Operations: ['92-4=88', '88-13=75']
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Exploring Operation: 15*75=1125, Resulting Numbers: [1125]
1125,55 unequal: No Solution
Exploring Operation: 15+75=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Moving to Node #0,3,4
Current State: 55:[88, 2], Operations: ['92-4=88', '15-13=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Exploring Operation: 88*2=176, Resulting Numbers: [176]
176,55 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[13, 103], Operations: ['92-4=88', '15+88=103']
Exploring Operation: 103-13=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Exploring Operation: 13*103=1339, Resulting Numbers: [1339]
1339,55 unequal: No Solution
Exploring Operation: 13+103=116, Resulting Numbers: [116]
116,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[88, 28], Operations: ['92-4=88', '15+13=28']
Exploring Operation: 88*28=2464, Resulting Numbers: [2464]
2464,55 unequal: No Solution
Exploring Operation: 88-28=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Exploring Operation: 88+28=116, Resulting Numbers: [116]
116,55 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 |
[
46,
20,
18,
16
] | 68 | [
"46+20=66",
"18-16=2",
"66+2=68"
] | Current State: 68:[46, 20, 18, 16], Operations: []
Exploring Operation: 46+20=66, Resulting Numbers: [18, 16, 66]
Generated Node #2: [18, 16, 66] from Operation: 46+20=66
Current State: 68:[18, 16, 66], Operations: ['46+20=66']
Exploring Operation: 18-16=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 18-16=2
Current State: 68:[66, 2], Operations: ['46+20=66', '18-16=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[46, 20, 18, 16], Operations: []
Exploring Operation: 46+18=64, Resulting Numbers: [20, 16, 64]
Generated Node #0,0: 68:[20, 16, 64] Operation: 46+18=64
Exploring Operation: 46-20=26, Resulting Numbers: [18, 16, 26]
Generated Node #0,1: 68:[18, 16, 26] Operation: 46-20=26
Exploring Operation: 46-16=30, Resulting Numbers: [20, 18, 30]
Generated Node #0,2: 68:[20, 18, 30] Operation: 46-16=30
Exploring Operation: 46+20=66, Resulting Numbers: [18, 16, 66]
Generated Node #0,3: 68:[18, 16, 66] Operation: 46+20=66
Start Sub Search at level 1: Moving to Node #0,3
Current State: 68:[18, 16, 66], Operations: ['46+20=66']
Exploring Operation: 18+16=34, Resulting Numbers: [66, 34]
Generated Node #0,3,0: 68:[66, 34] Operation: 18+16=34
Exploring Operation: 66-18=48, Resulting Numbers: [16, 48]
Generated Node #0,3,1: 68:[16, 48] Operation: 66-18=48
Exploring Operation: 16+66=82, Resulting Numbers: [18, 82]
Generated Node #0,3,2: 68:[18, 82] Operation: 16+66=82
Exploring Operation: 18-16=2, Resulting Numbers: [66, 2]
Generated Node #0,3,3: 68:[66, 2] Operation: 18-16=2
Moving to Node #0,3,0
Current State: 68:[66, 34], Operations: ['46+20=66', '18+16=34']
Exploring Operation: 66*34=2244, Resulting Numbers: [2244]
2244,68 unequal: No Solution
Exploring Operation: 66+34=100, Resulting Numbers: [100]
100,68 unequal: No Solution
Exploring Operation: 66-34=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Moving to Node #0,3,3
Current State: 68:[66, 2], Operations: ['46+20=66', '18-16=2']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 66*2=132, Resulting Numbers: [132]
132,68 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,68 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[46, 20, 18, 16], Operations: []
Exploring Operation: 46+20=66, Resulting Numbers: [18, 16, 66]
Generated Node #0,3: 68:[18, 16, 66] Operation: 46+20=66
Moving to Node #0,3
Current State: 68:[18, 16, 66], Operations: ['46+20=66']
Exploring Operation: 18-16=2, Resulting Numbers: [66, 2]
Generated Node #0,3,3: 68:[66, 2] Operation: 18-16=2
Moving to Node #0,3,3
Current State: 68:[66, 2], Operations: ['46+20=66', '18-16=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
60,
43,
31,
41
] | 97 | [
"60*31=1860",
"43*41=1763",
"1860-1763=97"
] | Current State: 97:[60, 43, 31, 41], Operations: []
Exploring Operation: 60*31=1860, Resulting Numbers: [43, 41, 1860]
Generated Node #2: [43, 41, 1860] from Operation: 60*31=1860
Current State: 97:[43, 41, 1860], Operations: ['60*31=1860']
Exploring Operation: 43*41=1763, Resulting Numbers: [1860, 1763]
Generated Node #3: [1860, 1763] from Operation: 43*41=1763
Current State: 97:[1860, 1763], Operations: ['60*31=1860', '43*41=1763']
Exploring Operation: 1860-1763=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[60, 43, 31, 41], Operations: []
Exploring Operation: 60+31=91, Resulting Numbers: [43, 41, 91]
Generated Node #0,0: 97:[43, 41, 91] Operation: 60+31=91
Exploring Operation: 31+41=72, Resulting Numbers: [60, 43, 72]
Generated Node #0,1: 97:[60, 43, 72] Operation: 31+41=72
Exploring Operation: 60+41=101, Resulting Numbers: [43, 31, 101]
Generated Node #0,2: 97:[43, 31, 101] Operation: 60+41=101
Exploring Operation: 43+31=74, Resulting Numbers: [60, 41, 74]
Generated Node #0,3: 97:[60, 41, 74] Operation: 43+31=74
Exploring Operation: 43+41=84, Resulting Numbers: [60, 31, 84]
Generated Node #0,4: 97:[60, 31, 84] Operation: 43+41=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[43, 41, 91], Operations: ['60+31=91']
Exploring Operation: 43-41=2, Resulting Numbers: [91, 2]
Generated Node #0,0,0: 97:[91, 2] Operation: 43-41=2
Exploring Operation: 91-41=50, Resulting Numbers: [43, 50]
Generated Node #0,0,1: 97:[43, 50] Operation: 91-41=50
Exploring Operation: 41+91=132, Resulting Numbers: [43, 132]
Generated Node #0,0,2: 97:[43, 132] Operation: 41+91=132
Exploring Operation: 43+41=84, Resulting Numbers: [91, 84]
Generated Node #0,0,3: 97:[91, 84] Operation: 43+41=84
Exploring Operation: 43+91=134, Resulting Numbers: [41, 134]
Generated Node #0,0,4: 97:[41, 134] Operation: 43+91=134
Moving to Node #0,0,3
Current State: 97:[91, 84], Operations: ['60+31=91', '43+41=84']
Exploring Operation: 91*84=7644, Resulting Numbers: [7644]
7644,97 unequal: No Solution
Exploring Operation: 91-84=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Exploring Operation: 91+84=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[43, 132], Operations: ['60+31=91', '41+91=132']
Exploring Operation: 132-43=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 43+132=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 43*132=5676, Resulting Numbers: [5676]
5676,97 unequal: No Solution
Moving to Node #0,0,4
Current State: 97:[41, 134], Operations: ['60+31=91', '43+91=134']
Exploring Operation: 41*134=5494, Resulting Numbers: [5494]
5494,97 unequal: No Solution
Exploring Operation: 41+134=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 134-41=93, Resulting Numbers: [93]
93,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[91, 2], Operations: ['60+31=91', '43-41=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 91*2=182, Resulting Numbers: [182]
182,97 unequal: No Solution
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[43, 50], Operations: ['60+31=91', '91-41=50']
Exploring Operation: 43*50=2150, Resulting Numbers: [2150]
2150,97 unequal: No Solution
Exploring Operation: 50-43=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Exploring Operation: 43+50=93, Resulting Numbers: [93]
93,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[60, 43, 72], Operations: ['31+41=72']
Exploring Operation: 60-43=17, Resulting Numbers: [72, 17]
Generated Node #0,1,0: 97:[72, 17] Operation: 60-43=17
Exploring Operation: 60+72=132, Resulting Numbers: [43, 132]
Generated Node #0,1,1: 97:[43, 132] Operation: 60+72=132
Exploring Operation: 60+43=103, Resulting Numbers: [72, 103]
Generated Node #0,1,2: 97:[72, 103] Operation: 60+43=103
Exploring Operation: 72-43=29, Resulting Numbers: [60, 29]
Generated Node #0,1,3: 97:[60, 29] Operation: 72-43=29
Exploring Operation: 43+72=115, Resulting Numbers: [60, 115]
Generated Node #0,1,4: 97:[60, 115] Operation: 43+72=115
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[72, 103], Operations: ['31+41=72', '60+43=103']
Exploring Operation: 72+103=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 72*103=7416, Resulting Numbers: [7416]
7416,97 unequal: No Solution
Exploring Operation: 103-72=31, Resulting Numbers: [31]
31,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 97:[60, 115], Operations: ['31+41=72', '43+72=115']
Exploring Operation: 60+115=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 115-60=55, Resulting Numbers: [55]
55,97 unequal: No Solution
Exploring Operation: 60*115=6900, Resulting Numbers: [6900]
6900,97 unequal: No Solution
No 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: 97:[43, 132], Operations: ['31+41=72', '60+72=132']
Exploring Operation: 43+132=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 132-43=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 43*132=5676, Resulting Numbers: [5676]
5676,97 unequal: No Solution
No 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: 97:[72, 17], Operations: ['31+41=72', '60-43=17']
Exploring Operation: 72*17=1224, Resulting Numbers: [1224]
1224,97 unequal: No Solution
Exploring Operation: 72+17=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,97 unequal: No Solution
No 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: 97:[60, 29], Operations: ['31+41=72', '72-43=29']
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,97 unequal: No Solution
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 60*29=1740, Resulting Numbers: [1740]
1740,97 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: 97:[60, 41, 74], Operations: ['43+31=74']
Exploring Operation: 60+41=101, Resulting Numbers: [74, 101]
Generated Node #0,3,0: 97:[74, 101] Operation: 60+41=101
Exploring Operation: 60-41=19, Resulting Numbers: [74, 19]
Generated Node #0,3,1: 97:[74, 19] Operation: 60-41=19
Exploring Operation: 41+74=115, Resulting Numbers: [60, 115]
Generated Node #0,3,2: 97:[60, 115] Operation: 41+74=115
Exploring Operation: 74-41=33, Resulting Numbers: [60, 33]
Generated Node #0,3,3: 97:[60, 33] Operation: 74-41=33
Exploring Operation: 60+74=134, Resulting Numbers: [41, 134]
Generated Node #0,3,4: 97:[41, 134] Operation: 60+74=134
Moving to Node #0,3,0
Current State: 97:[74, 101], Operations: ['43+31=74', '60+41=101']
Exploring Operation: 74+101=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 101-74=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 74*101=7474, Resulting Numbers: [7474]
7474,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[60, 115], Operations: ['43+31=74', '41+74=115']
Exploring Operation: 60*115=6900, Resulting Numbers: [6900]
6900,97 unequal: No Solution
Exploring Operation: 60+115=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 115-60=55, Resulting Numbers: [55]
55,97 unequal: No Solution
Moving to Node #0,3,4
Current State: 97:[41, 134], Operations: ['43+31=74', '60+74=134']
Exploring Operation: 134-41=93, Resulting Numbers: [93]
93,97 unequal: No Solution
Exploring Operation: 41+134=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 41*134=5494, Resulting Numbers: [5494]
5494,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[74, 19], Operations: ['43+31=74', '60-41=19']
Exploring Operation: 74-19=55, Resulting Numbers: [55]
55,97 unequal: No Solution
Exploring Operation: 74*19=1406, Resulting Numbers: [1406]
1406,97 unequal: No Solution
Exploring Operation: 74+19=93, Resulting Numbers: [93]
93,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[60, 33], Operations: ['43+31=74', '74-41=33']
Exploring Operation: 60*33=1980, Resulting Numbers: [1980]
1980,97 unequal: No Solution
Exploring Operation: 60+33=93, Resulting Numbers: [93]
93,97 unequal: No Solution
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 97:[60, 31, 84], Operations: ['43+41=84']
Exploring Operation: 84-31=53, Resulting Numbers: [60, 53]
Generated Node #0,4,0: 97:[60, 53] Operation: 84-31=53
Exploring Operation: 31+84=115, Resulting Numbers: [60, 115]
Generated Node #0,4,1: 97:[60, 115] Operation: 31+84=115
Exploring Operation: 60+31=91, Resulting Numbers: [84, 91]
Generated Node #0,4,2: 97:[84, 91] Operation: 60+31=91
Exploring Operation: 60+84=144, Resulting Numbers: [31, 144]
Generated Node #0,4,3: 97:[31, 144] Operation: 60+84=144
Exploring Operation: 60-31=29, Resulting Numbers: [84, 29]
Generated Node #0,4,4: 97:[84, 29] Operation: 60-31=29
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 97:[84, 91], Operations: ['43+41=84', '60+31=91']
Exploring Operation: 91-84=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Exploring Operation: 84+91=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 84*91=7644, Resulting Numbers: [7644]
7644,97 unequal: No Solution
No 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: 97:[60, 115], Operations: ['43+41=84', '31+84=115']
Exploring Operation: 60*115=6900, Resulting Numbers: [6900]
6900,97 unequal: No Solution
Exploring Operation: 60+115=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 115-60=55, Resulting Numbers: [55]
55,97 unequal: No Solution
No 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: 97:[60, 53], Operations: ['43+41=84', '84-31=53']
Exploring Operation: 60-53=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Exploring Operation: 60+53=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 60*53=3180, Resulting Numbers: [3180]
3180,97 unequal: No Solution
No 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: 97:[84, 29], Operations: ['43+41=84', '60-31=29']
Exploring Operation: 84+29=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,97 unequal: No Solution
Exploring Operation: 84*29=2436, Resulting Numbers: [2436]
2436,97 unequal: No Solution
No 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: 97:[31, 144], Operations: ['43+41=84', '60+84=144']
Exploring Operation: 144-31=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 31*144=4464, Resulting Numbers: [4464]
4464,97 unequal: No Solution
Exploring Operation: 31+144=175, Resulting Numbers: [175]
175,97 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: 97:[43, 31, 101], Operations: ['60+41=101']
Exploring Operation: 43-31=12, Resulting Numbers: [101, 12]
Generated Node #0,2,0: 97:[101, 12] Operation: 43-31=12
Exploring Operation: 101-31=70, Resulting Numbers: [43, 70]
Generated Node #0,2,1: 97:[43, 70] Operation: 101-31=70
Exploring Operation: 43+31=74, Resulting Numbers: [101, 74]
Generated Node #0,2,2: 97:[101, 74] Operation: 43+31=74
Exploring Operation: 31+101=132, Resulting Numbers: [43, 132]
Generated Node #0,2,3: 97:[43, 132] Operation: 31+101=132
Exploring Operation: 101-43=58, Resulting Numbers: [31, 58]
Generated Node #0,2,4: 97:[31, 58] Operation: 101-43=58
Moving to Node #0,2,2
Current State: 97:[101, 74], Operations: ['60+41=101', '43+31=74']
Exploring Operation: 101-74=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 101+74=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 101*74=7474, Resulting Numbers: [7474]
7474,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[43, 70], Operations: ['60+41=101', '101-31=70']
Exploring Operation: 43+70=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 43*70=3010, Resulting Numbers: [3010]
3010,97 unequal: No Solution
Exploring Operation: 70-43=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[101, 12], Operations: ['60+41=101', '43-31=12']
Exploring Operation: 101-12=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 101+12=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 101*12=1212, Resulting Numbers: [1212]
1212,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[43, 132], Operations: ['60+41=101', '31+101=132']
Exploring Operation: 43*132=5676, Resulting Numbers: [5676]
5676,97 unequal: No Solution
Exploring Operation: 132-43=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 43+132=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Moving to Node #0,2,4
Current State: 97:[31, 58], Operations: ['60+41=101', '101-43=58']
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 31*58=1798, Resulting Numbers: [1798]
1798,97 unequal: No Solution
Exploring Operation: 31+58=89, Resulting Numbers: [89]
89,97 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 |
[
5,
20,
96,
68
] | 79 | [
"20/5=4",
"68/4=17",
"96-17=79"
] | Current State: 79:[5, 20, 96, 68], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [96, 68, 4]
Generated Node #2: [96, 68, 4] from Operation: 20/5=4
Current State: 79:[96, 68, 4], Operations: ['20/5=4']
Exploring Operation: 68/4=17, Resulting Numbers: [96, 17]
Generated Node #3: [96, 17] from Operation: 68/4=17
Current State: 79:[96, 17], Operations: ['20/5=4', '68/4=17']
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[5, 20, 96, 68], Operations: []
Exploring Operation: 5*20=100, Resulting Numbers: [96, 68, 100]
Generated Node #0,0: 79:[96, 68, 100] Operation: 5*20=100
Exploring Operation: 5+20=25, Resulting Numbers: [96, 68, 25]
Generated Node #0,1: 79:[96, 68, 25] Operation: 5+20=25
Exploring Operation: 96-5=91, Resulting Numbers: [20, 68, 91]
Generated Node #0,2: 79:[20, 68, 91] Operation: 96-5=91
Exploring Operation: 96-20=76, Resulting Numbers: [5, 68, 76]
Generated Node #0,3: 79:[5, 68, 76] Operation: 96-20=76
Exploring Operation: 5+68=73, Resulting Numbers: [20, 96, 73]
Generated Node #0,4: 79:[20, 96, 73] Operation: 5+68=73
Moving to Node #0,0
Current State: 79:[96, 68, 100], Operations: ['5*20=100']
Exploring Operation: 100-68=32, Resulting Numbers: [96, 32]
Generated Node #0,0,0: 79:[96, 32] Operation: 100-68=32
Exploring Operation: 100-96=4, Resulting Numbers: [68, 4]
Generated Node #0,0,1: 79:[68, 4] Operation: 100-96=4
Exploring Operation: 68+100=168, Resulting Numbers: [96, 168]
Generated Node #0,0,2: 79:[96, 168] Operation: 68+100=168
Exploring Operation: 96+68=164, Resulting Numbers: [100, 164]
Generated Node #0,0,3: 79:[100, 164] Operation: 96+68=164
Exploring Operation: 96-68=28, Resulting Numbers: [100, 28]
Generated Node #0,0,4: 79:[100, 28] Operation: 96-68=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[96, 32], Operations: ['5*20=100', '100-68=32']
Exploring Operation: 96*32=3072, Resulting Numbers: [3072]
3072,79 unequal: No Solution
Exploring Operation: 96/32=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 96+32=128, Resulting Numbers: [128]
128,79 unequal: No Solution
Exploring Operation: 96-32=64, Resulting Numbers: [64]
64,79 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 #0,0,4
Current State: 79:[100, 28], Operations: ['5*20=100', '96-68=28']
Exploring Operation: 100+28=128, Resulting Numbers: [128]
128,79 unequal: No Solution
Exploring Operation: 100*28=2800, Resulting Numbers: [2800]
2800,79 unequal: No Solution
Exploring Operation: 100-28=72, Resulting Numbers: [72]
72,79 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 #0,0,1
Current State: 79:[68, 4], Operations: ['5*20=100', '100-96=4']
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,79 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,79 unequal: No Solution
Exploring Operation: 68*4=272, Resulting Numbers: [272]
272,79 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 #0,0,2
Current State: 79:[96, 168], Operations: ['5*20=100', '68+100=168']
Exploring Operation: 96*168=16128, Resulting Numbers: [16128]
16128,79 unequal: No Solution
Exploring Operation: 96+168=264, Resulting Numbers: [264]
264,79 unequal: No Solution
Exploring Operation: 168-96=72, Resulting Numbers: [72]
72,79 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 #0,0,3
Current State: 79:[100, 164], Operations: ['5*20=100', '96+68=164']
Exploring Operation: 100+164=264, Resulting Numbers: [264]
264,79 unequal: No Solution
Exploring Operation: 164-100=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 100*164=16400, Resulting Numbers: [16400]
16400,79 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: 79:[20, 68, 91], Operations: ['96-5=91']
Exploring Operation: 68-20=48, Resulting Numbers: [91, 48]
Generated Node #0,2,0: 79:[91, 48] Operation: 68-20=48
Exploring Operation: 91-68=23, Resulting Numbers: [20, 23]
Generated Node #0,2,1: 79:[20, 23] Operation: 91-68=23
Exploring Operation: 20+91=111, Resulting Numbers: [68, 111]
Generated Node #0,2,2: 79:[68, 111] Operation: 20+91=111
Exploring Operation: 20+68=88, Resulting Numbers: [91, 88]
Generated Node #0,2,3: 79:[91, 88] Operation: 20+68=88
Exploring Operation: 91-20=71, Resulting Numbers: [68, 71]
Generated Node #0,2,4: 79:[68, 71] Operation: 91-20=71
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 79:[68, 71], Operations: ['96-5=91', '91-20=71']
Exploring Operation: 68*71=4828, Resulting Numbers: [4828]
4828,79 unequal: No Solution
Exploring Operation: 68+71=139, Resulting Numbers: [139]
139,79 unequal: No Solution
Exploring Operation: 71-68=3, Resulting Numbers: [3]
3,79 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 #0,2,3
Current State: 79:[91, 88], Operations: ['96-5=91', '20+68=88']
Exploring Operation: 91+88=179, Resulting Numbers: [179]
179,79 unequal: No Solution
Exploring Operation: 91-88=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 91*88=8008, Resulting Numbers: [8008]
8008,79 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 #0,2,0
Current State: 79:[91, 48], Operations: ['96-5=91', '68-20=48']
Exploring Operation: 91*48=4368, Resulting Numbers: [4368]
4368,79 unequal: No Solution
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Exploring Operation: 91+48=139, Resulting Numbers: [139]
139,79 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 #0,2,2
Current State: 79:[68, 111], Operations: ['96-5=91', '20+91=111']
Exploring Operation: 111-68=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Exploring Operation: 68+111=179, Resulting Numbers: [179]
179,79 unequal: No Solution
Exploring Operation: 68*111=7548, Resulting Numbers: [7548]
7548,79 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 #0,2,1
Current State: 79:[20, 23], Operations: ['96-5=91', '91-68=23']
Exploring Operation: 20*23=460, Resulting Numbers: [460]
460,79 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,79 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: 79:[96, 68, 25], Operations: ['5+20=25']
Exploring Operation: 68+25=93, Resulting Numbers: [96, 93]
Generated Node #0,1,0: 79:[96, 93] Operation: 68+25=93
Exploring Operation: 68-25=43, Resulting Numbers: [96, 43]
Generated Node #0,1,1: 79:[96, 43] Operation: 68-25=43
Exploring Operation: 96+25=121, Resulting Numbers: [68, 121]
Generated Node #0,1,2: 79:[68, 121] Operation: 96+25=121
Exploring Operation: 96-25=71, Resulting Numbers: [68, 71]
Generated Node #0,1,3: 79:[68, 71] Operation: 96-25=71
Exploring Operation: 96-68=28, Resulting Numbers: [25, 28]
Generated Node #0,1,4: 79:[25, 28] Operation: 96-68=28
Moving to Node #0,4
Current State: 79:[20, 96, 73], Operations: ['5+68=73']
Exploring Operation: 73-20=53, Resulting Numbers: [96, 53]
Generated Node #0,4,0: 79:[96, 53] Operation: 73-20=53
Exploring Operation: 20+96=116, Resulting Numbers: [73, 116]
Generated Node #0,4,1: 79:[73, 116] Operation: 20+96=116
Exploring Operation: 96-73=23, Resulting Numbers: [20, 23]
Generated Node #0,4,2: 79:[20, 23] Operation: 96-73=23
Exploring Operation: 96-20=76, Resulting Numbers: [73, 76]
Generated Node #0,4,3: 79:[73, 76] Operation: 96-20=76
Exploring Operation: 20+73=93, Resulting Numbers: [96, 93]
Generated Node #0,4,4: 79:[96, 93] Operation: 20+73=93
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 79:[73, 76], Operations: ['5+68=73', '96-20=76']
Exploring Operation: 73+76=149, Resulting Numbers: [149]
149,79 unequal: No Solution
Exploring Operation: 73*76=5548, Resulting Numbers: [5548]
5548,79 unequal: No Solution
Exploring Operation: 76-73=3, Resulting Numbers: [3]
3,79 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 #0,4,4
Current State: 79:[96, 93], Operations: ['5+68=73', '20+73=93']
Exploring Operation: 96-93=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 96*93=8928, Resulting Numbers: [8928]
8928,79 unequal: No Solution
Exploring Operation: 96+93=189, Resulting Numbers: [189]
189,79 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 #0,4,0
Current State: 79:[96, 53], Operations: ['5+68=73', '73-20=53']
Exploring Operation: 96-53=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Exploring Operation: 96+53=149, Resulting Numbers: [149]
149,79 unequal: No Solution
Exploring Operation: 96*53=5088, Resulting Numbers: [5088]
5088,79 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 #0,4,1
Current State: 79:[73, 116], Operations: ['5+68=73', '20+96=116']
Exploring Operation: 73+116=189, Resulting Numbers: [189]
189,79 unequal: No Solution
Exploring Operation: 73*116=8468, Resulting Numbers: [8468]
8468,79 unequal: No Solution
Exploring Operation: 116-73=43, Resulting Numbers: [43]
43,79 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 #0,4,2
Current State: 79:[20, 23], Operations: ['5+68=73', '96-73=23']
Exploring Operation: 20*23=460, Resulting Numbers: [460]
460,79 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,79 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: 79:[5, 68, 76], Operations: ['96-20=76']
Exploring Operation: 5+68=73, Resulting Numbers: [76, 73]
Generated Node #0,3,0: 79:[76, 73] Operation: 5+68=73
Exploring Operation: 68+76=144, Resulting Numbers: [5, 144]
Generated Node #0,3,1: 79:[5, 144] Operation: 68+76=144
Exploring Operation: 68-5=63, Resulting Numbers: [76, 63]
Generated Node #0,3,2: 79:[76, 63] Operation: 68-5=63
Exploring Operation: 5+76=81, Resulting Numbers: [68, 81]
Generated Node #0,3,3: 79:[68, 81] Operation: 5+76=81
Exploring Operation: 76-5=71, Resulting Numbers: [68, 71]
Generated Node #0,3,4: 79:[68, 71] Operation: 76-5=71
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 79:[76, 73], Operations: ['96-20=76', '5+68=73']
Exploring Operation: 76*73=5548, Resulting Numbers: [5548]
5548,79 unequal: No Solution
Exploring Operation: 76-73=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 76+73=149, Resulting Numbers: [149]
149,79 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 #0,3,3
Current State: 79:[68, 81], Operations: ['96-20=76', '5+76=81']
Exploring Operation: 68*81=5508, Resulting Numbers: [5508]
5508,79 unequal: No Solution
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,79 unequal: No Solution
Exploring Operation: 68+81=149, Resulting Numbers: [149]
149,79 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 #0,3,2
Current State: 79:[76, 63], Operations: ['96-20=76', '68-5=63']
Exploring Operation: 76+63=139, Resulting Numbers: [139]
139,79 unequal: No Solution
Exploring Operation: 76*63=4788, Resulting Numbers: [4788]
4788,79 unequal: No Solution
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,79 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 #0,3,4
Current State: 79:[68, 71], Operations: ['96-20=76', '76-5=71']
Exploring Operation: 68+71=139, Resulting Numbers: [139]
139,79 unequal: No Solution
Exploring Operation: 71-68=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 68*71=4828, Resulting Numbers: [4828]
4828,79 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 #0,3,1
Current State: 79:[5, 144], Operations: ['96-20=76', '68+76=144']
Exploring Operation: 5+144=149, Resulting Numbers: [149]
149,79 unequal: No Solution
Exploring Operation: 5*144=720, Resulting Numbers: [720]
720,79 unequal: No Solution
Exploring Operation: 144-5=139, Resulting Numbers: [139]
139,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 79:[68, 71], Operations: ['5+20=25', '96-25=71']
Exploring Operation: 68*71=4828, Resulting Numbers: [4828]
4828,79 unequal: No Solution
Exploring Operation: 68+71=139, Resulting Numbers: [139]
139,79 unequal: No Solution
Exploring Operation: 71-68=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[96, 93], Operations: ['5+20=25', '68+25=93']
Exploring Operation: 96*93=8928, Resulting Numbers: [8928]
8928,79 unequal: No Solution
Exploring Operation: 96+93=189, Resulting Numbers: [189]
189,79 unequal: No Solution
Exploring Operation: 96-93=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[96, 43], Operations: ['5+20=25', '68-25=43']
Exploring Operation: 96*43=4128, Resulting Numbers: [4128]
4128,79 unequal: No Solution
Exploring Operation: 96-43=53, Resulting Numbers: [53]
53,79 unequal: No Solution
Exploring Operation: 96+43=139, Resulting Numbers: [139]
139,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[68, 121], Operations: ['5+20=25', '96+25=121']
Exploring Operation: 68+121=189, Resulting Numbers: [189]
189,79 unequal: No Solution
Exploring Operation: 121-68=53, Resulting Numbers: [53]
53,79 unequal: No Solution
Exploring Operation: 68*121=8228, Resulting Numbers: [8228]
8228,79 unequal: No Solution
Moving to Node #0,1,4
Current State: 79:[25, 28], Operations: ['5+20=25', '96-68=28']
Exploring Operation: 25+28=53, Resulting Numbers: [53]
53,79 unequal: No Solution
Exploring Operation: 25*28=700, Resulting Numbers: [700]
700,79 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,79 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
7,
50,
31,
5
] | 83 | [
"7+50=57",
"31-5=26",
"57+26=83"
] | Current State: 83:[7, 50, 31, 5], Operations: []
Exploring Operation: 7+50=57, Resulting Numbers: [31, 5, 57]
Generated Node #2: [31, 5, 57] from Operation: 7+50=57
Current State: 83:[31, 5, 57], Operations: ['7+50=57']
Exploring Operation: 31-5=26, Resulting Numbers: [57, 26]
Generated Node #3: [57, 26] from Operation: 31-5=26
Current State: 83:[57, 26], Operations: ['7+50=57', '31-5=26']
Exploring Operation: 57+26=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[7, 50, 31, 5], Operations: []
Exploring Operation: 7+5=12, Resulting Numbers: [50, 31, 12]
Generated Node #0,0: 83:[50, 31, 12] Operation: 7+5=12
Exploring Operation: 7*5=35, Resulting Numbers: [50, 31, 35]
Generated Node #0,1: 83:[50, 31, 35] Operation: 7*5=35
Exploring Operation: 7+31=38, Resulting Numbers: [50, 5, 38]
Generated Node #0,2: 83:[50, 5, 38] Operation: 7+31=38
Exploring Operation: 7+50=57, Resulting Numbers: [31, 5, 57]
Generated Node #0,3: 83:[31, 5, 57] Operation: 7+50=57
Exploring Operation: 50+31=81, Resulting Numbers: [7, 5, 81]
Generated Node #0,4: 83:[7, 5, 81] Operation: 50+31=81
Moving to Node #0,1
Current State: 83:[50, 31, 35], Operations: ['7*5=35']
Exploring Operation: 31+35=66, Resulting Numbers: [50, 66]
Generated Node #0,1,0: 83:[50, 66] Operation: 31+35=66
Exploring Operation: 35-31=4, Resulting Numbers: [50, 4]
Generated Node #0,1,1: 83:[50, 4] Operation: 35-31=4
Exploring Operation: 50+35=85, Resulting Numbers: [31, 85]
Generated Node #0,1,2: 83:[31, 85] Operation: 50+35=85
Exploring Operation: 50+31=81, Resulting Numbers: [35, 81]
Generated Node #0,1,3: 83:[35, 81] Operation: 50+31=81
Exploring Operation: 50-31=19, Resulting Numbers: [35, 19]
Generated Node #0,1,4: 83:[35, 19] Operation: 50-31=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[50, 66], Operations: ['7*5=35', '31+35=66']
Exploring Operation: 50*66=3300, Resulting Numbers: [3300]
3300,83 unequal: No Solution
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 50+66=116, Resulting Numbers: [116]
116,83 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 #0,1,3
Current State: 83:[35, 81], Operations: ['7*5=35', '50+31=81']
Exploring Operation: 35+81=116, Resulting Numbers: [116]
116,83 unequal: No Solution
Exploring Operation: 81-35=46, Resulting Numbers: [46]
46,83 unequal: No Solution
Exploring Operation: 35*81=2835, Resulting Numbers: [2835]
2835,83 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:[31, 85], Operations: ['7*5=35', '50+35=85']
Exploring Operation: 85-31=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 31*85=2635, Resulting Numbers: [2635]
2635,83 unequal: No Solution
Exploring Operation: 31+85=116, Resulting Numbers: [116]
116,83 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:[50, 4], Operations: ['7*5=35', '35-31=4']
Exploring Operation: 50+4=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,83 unequal: No Solution
Exploring Operation: 50*4=200, Resulting Numbers: [200]
200,83 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 #0,1,4
Current State: 83:[35, 19], Operations: ['7*5=35', '50-31=19']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 35*19=665, Resulting Numbers: [665]
665,83 unequal: No Solution
Exploring Operation: 35+19=54, Resulting Numbers: [54]
54,83 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:[50, 5, 38], Operations: ['7+31=38']
Exploring Operation: 38-5=33, Resulting Numbers: [50, 33]
Generated Node #0,2,0: 83:[50, 33] Operation: 38-5=33
Exploring Operation: 50+38=88, Resulting Numbers: [5, 88]
Generated Node #0,2,1: 83:[5, 88] Operation: 50+38=88
Exploring Operation: 50+5=55, Resulting Numbers: [38, 55]
Generated Node #0,2,2: 83:[38, 55] Operation: 50+5=55
Exploring Operation: 50-5=45, Resulting Numbers: [38, 45]
Generated Node #0,2,3: 83:[38, 45] Operation: 50-5=45
Exploring Operation: 5+38=43, Resulting Numbers: [50, 43]
Generated Node #0,2,4: 83:[50, 43] Operation: 5+38=43
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[38, 55], Operations: ['7+31=38', '50+5=55']
Exploring Operation: 55-38=17, Resulting Numbers: [17]
17,83 unequal: No Solution
Exploring Operation: 38+55=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Exploring Operation: 38*55=2090, Resulting Numbers: [2090]
2090,83 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 #0,2,4
Current State: 83:[50, 43], Operations: ['7+31=38', '5+38=43']
Exploring Operation: 50-43=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Exploring Operation: 50+43=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Exploring Operation: 50*43=2150, Resulting Numbers: [2150]
2150,83 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:[50, 33], Operations: ['7+31=38', '38-5=33']
Exploring Operation: 50*33=1650, Resulting Numbers: [1650]
1650,83 unequal: No Solution
Exploring Operation: 50+33=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[7, 50, 31, 5], Operations: []
Exploring Operation: 7+31=38, Resulting Numbers: [50, 5, 38]
Generated Node #0,2: 83:[50, 5, 38] Operation: 7+31=38
Moving to Node #0,2
Current State: 83:[50, 5, 38], Operations: ['7+31=38']
Exploring Operation: 38-5=33, Resulting Numbers: [50, 33]
Generated Node #0,2,0: 83:[50, 33] Operation: 38-5=33
Moving to Node #0,2,0
Current State: 83:[50, 33], Operations: ['7+31=38', '38-5=33']
Exploring Operation: 50+33=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | sum_heuristic |
[
63,
60,
3,
15
] | 44 | [
"63-15=48",
"48/3=16",
"60-16=44"
] | Current State: 44:[63, 60, 3, 15], Operations: []
Exploring Operation: 63-15=48, Resulting Numbers: [60, 3, 48]
Generated Node #2: [60, 3, 48] from Operation: 63-15=48
Current State: 44:[60, 3, 48], Operations: ['63-15=48']
Exploring Operation: 48/3=16, Resulting Numbers: [60, 16]
Generated Node #3: [60, 16] from Operation: 48/3=16
Current State: 44:[60, 16], Operations: ['63-15=48', '48/3=16']
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[63, 60, 3, 15], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [60, 15, 21]
Generated Node #0,0: 44:[60, 15, 21] Operation: 63/3=21
Exploring Operation: 63-15=48, Resulting Numbers: [60, 3, 48]
Generated Node #0,1: 44:[60, 3, 48] Operation: 63-15=48
Exploring Operation: 63-60=3, Resulting Numbers: [3, 15, 3]
Generated Node #0,2: 44:[3, 15, 3] Operation: 63-60=3
Exploring Operation: 60/15=4, Resulting Numbers: [63, 3, 4]
Generated Node #0,3: 44:[63, 3, 4] Operation: 60/15=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[3, 15, 3], Operations: ['63-60=3']
Exploring Operation: 15*3=45, Resulting Numbers: [3, 45]
Generated Node #0,2,0: 44:[3, 45] Operation: 15*3=45
Exploring Operation: 3*15=45, Resulting Numbers: [3, 45]
Generated Node #0,2,1: 44:[3, 45] Operation: 3*15=45
Exploring Operation: 15/3=5, Resulting Numbers: [3, 5]
Generated Node #0,2,2: 44:[3, 5] Operation: 15/3=5
Exploring Operation: 15-3=12, Resulting Numbers: [3, 12]
Generated Node #0,2,3: 44:[3, 12] Operation: 15-3=12
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 44:[3, 45], Operations: ['63-60=3', '15*3=45']
Exploring Operation: 3*45=135, Resulting Numbers: [135]
135,44 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,44 unequal: No Solution
Exploring Operation: 3+45=48, Resulting Numbers: [48]
48,44 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,44 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 #0,2,1
Current State: 44:[3, 45], Operations: ['63-60=3', '3*15=45']
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,44 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,44 unequal: No Solution
Exploring Operation: 3+45=48, Resulting Numbers: [48]
48,44 unequal: No Solution
Exploring Operation: 3*45=135, Resulting Numbers: [135]
135,44 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 #0,2,2
Current State: 44:[3, 5], Operations: ['63-60=3', '15/3=5']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,44 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,44 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 #0,2,3
Current State: 44:[3, 12], Operations: ['63-60=3', '15-3=12']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,44 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: 44:[63, 3, 4], Operations: ['60/15=4']
Exploring Operation: 63/3=21, Resulting Numbers: [4, 21]
Generated Node #0,3,0: 44:[4, 21] Operation: 63/3=21
Exploring Operation: 3*4=12, Resulting Numbers: [63, 12]
Generated Node #0,3,1: 44:[63, 12] Operation: 3*4=12
Exploring Operation: 63-4=59, Resulting Numbers: [3, 59]
Generated Node #0,3,2: 44:[3, 59] Operation: 63-4=59
Exploring Operation: 63-3=60, Resulting Numbers: [4, 60]
Generated Node #0,3,3: 44:[4, 60] Operation: 63-3=60
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 44:[4, 21], Operations: ['60/15=4', '63/3=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,44 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,44 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,44 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 #0,3,2
Current State: 44:[3, 59], Operations: ['60/15=4', '63-4=59']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,44 unequal: No Solution
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,44 unequal: No Solution
Exploring Operation: 3+59=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 #0,3,3
Current State: 44:[4, 60], Operations: ['60/15=4', '63-3=60']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,44 unequal: No Solution
Exploring Operation: 4*60=240, Resulting Numbers: [240]
240,44 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,44 unequal: No Solution
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,44 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 #0,3,1
Current State: 44:[63, 12], Operations: ['60/15=4', '3*4=12']
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,44 unequal: No Solution
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,44 unequal: No Solution
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,44 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: 44:[60, 15, 21], Operations: ['63/3=21']
Exploring Operation: 60-21=39, Resulting Numbers: [15, 39]
Generated Node #0,0,0: 44:[15, 39] Operation: 60-21=39
Exploring Operation: 60-15=45, Resulting Numbers: [21, 45]
Generated Node #0,0,1: 44:[21, 45] Operation: 60-15=45
Exploring Operation: 21-15=6, Resulting Numbers: [60, 6]
Generated Node #0,0,2: 44:[60, 6] Operation: 21-15=6
Exploring Operation: 60/15=4, Resulting Numbers: [21, 4]
Generated Node #0,0,3: 44:[21, 4] Operation: 60/15=4
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 44:[21, 4], Operations: ['63/3=21', '60/15=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,44 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,44 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,44 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 #0,0,1
Current State: 44:[21, 45], Operations: ['63/3=21', '60-15=45']
Exploring Operation: 21*45=945, Resulting Numbers: [945]
945,44 unequal: No Solution
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 21+45=66, Resulting Numbers: [66]
66,44 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:[15, 39], Operations: ['63/3=21', '60-21=39']
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 15+39=54, Resulting Numbers: [54]
54,44 unequal: No Solution
Exploring Operation: 15*39=585, Resulting Numbers: [585]
585,44 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 #0,0,2
Current State: 44:[60, 6], Operations: ['63/3=21', '21-15=6']
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,44 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,44 unequal: No Solution
Exploring Operation: 60*6=360, Resulting Numbers: [360]
360,44 unequal: No Solution
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,44 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: 44:[60, 3, 48], Operations: ['63-15=48']
Exploring Operation: 60-3=57, Resulting Numbers: [48, 57]
Generated Node #0,1,0: 44:[48, 57] Operation: 60-3=57
Exploring Operation: 60-48=12, Resulting Numbers: [3, 12]
Generated Node #0,1,1: 44:[3, 12] Operation: 60-48=12
Exploring Operation: 60/3=20, Resulting Numbers: [48, 20]
Generated Node #0,1,2: 44:[48, 20] Operation: 60/3=20
Exploring Operation: 48-3=45, Resulting Numbers: [60, 45]
Generated Node #0,1,3: 44:[60, 45] Operation: 48-3=45
Moving to Node #0,1,1
Current State: 44:[3, 12], Operations: ['63-15=48', '60-48=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,44 unequal: No Solution
Moving to Node #0,1,2
Current State: 44:[48, 20], Operations: ['63-15=48', '60/3=20']
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,44 unequal: No Solution
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,44 unequal: No Solution
Exploring Operation: 48*20=960, Resulting Numbers: [960]
960,44 unequal: No Solution
Moving to Node #0,1,3
Current State: 44:[60, 45], Operations: ['63-15=48', '48-3=45']
Exploring Operation: 60*45=2700, Resulting Numbers: [2700]
2700,44 unequal: No Solution
Exploring Operation: 60+45=105, Resulting Numbers: [105]
105,44 unequal: No Solution
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[48, 57], Operations: ['63-15=48', '60-3=57']
Exploring Operation: 48*57=2736, Resulting Numbers: [2736]
2736,44 unequal: No Solution
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 48+57=105, Resulting Numbers: [105]
105,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
97,
91,
20,
90
] | 30 | [
"97-91=6",
"20*6=120",
"120-90=30"
] | Current State: 30:[97, 91, 20, 90], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [20, 90, 6]
Generated Node #2: [20, 90, 6] from Operation: 97-91=6
Current State: 30:[20, 90, 6], Operations: ['97-91=6']
Exploring Operation: 20*6=120, Resulting Numbers: [90, 120]
Generated Node #3: [90, 120] from Operation: 20*6=120
Current State: 30:[90, 120], Operations: ['97-91=6', '20*6=120']
Exploring Operation: 120-90=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[97, 91, 20, 90], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [20, 90, 6]
Generated Node #0,0: 30:[20, 90, 6] Operation: 97-91=6
Moving to Node #0,0
Current State: 30:[20, 90, 6], Operations: ['97-91=6']
Exploring Operation: 90/6=15, Resulting Numbers: [20, 15]
Generated Node #0,0,0: 30:[20, 15] Operation: 90/6=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[20, 15], Operations: ['97-91=6', '90/6=15']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,30 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 |
[
67,
11,
31,
13
] | 96 | [
"67+11=78",
"31-13=18",
"78+18=96"
] | Current State: 96:[67, 11, 31, 13], Operations: []
Exploring Operation: 67+11=78, Resulting Numbers: [31, 13, 78]
Generated Node #2: [31, 13, 78] from Operation: 67+11=78
Current State: 96:[31, 13, 78], Operations: ['67+11=78']
Exploring Operation: 31-13=18, Resulting Numbers: [78, 18]
Generated Node #3: [78, 18] from Operation: 31-13=18
Current State: 96:[78, 18], Operations: ['67+11=78', '31-13=18']
Exploring Operation: 78+18=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[67, 11, 31, 13], Operations: []
Exploring Operation: 67-31=36, Resulting Numbers: [11, 13, 36]
Generated Node #0,0: 96:[11, 13, 36] Operation: 67-31=36
Exploring Operation: 67+31=98, Resulting Numbers: [11, 13, 98]
Generated Node #0,1: 96:[11, 13, 98] Operation: 67+31=98
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[11, 13, 98], Operations: ['67+31=98']
Exploring Operation: 13-11=2, Resulting Numbers: [98, 2]
Generated Node #0,1,0: 96:[98, 2] Operation: 13-11=2
Exploring Operation: 11+13=24, Resulting Numbers: [98, 24]
Generated Node #0,1,1: 96:[98, 24] Operation: 11+13=24
Moving to Node #0,1,0
Current State: 96:[98, 2], Operations: ['67+31=98', '13-11=2']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[67, 11, 31, 13], Operations: []
Exploring Operation: 67+31=98, Resulting Numbers: [11, 13, 98]
Generated Node #0,1: 96:[11, 13, 98] Operation: 67+31=98
Moving to Node #0,1
Current State: 96:[11, 13, 98], Operations: ['67+31=98']
Exploring Operation: 13-11=2, Resulting Numbers: [98, 2]
Generated Node #0,1,0: 96:[98, 2] Operation: 13-11=2
Moving to Node #0,1,0
Current State: 96:[98, 2], Operations: ['67+31=98', '13-11=2']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
6,
5,
10,
33
] | 47 | [
"6+10=16",
"5*16=80",
"80-33=47"
] | Current State: 47:[6, 5, 10, 33], Operations: []
Exploring Operation: 6+10=16, Resulting Numbers: [5, 33, 16]
Generated Node #2: [5, 33, 16] from Operation: 6+10=16
Current State: 47:[5, 33, 16], Operations: ['6+10=16']
Exploring Operation: 5*16=80, Resulting Numbers: [33, 80]
Generated Node #3: [33, 80] from Operation: 5*16=80
Current State: 47:[33, 80], Operations: ['6+10=16', '5*16=80']
Exploring Operation: 80-33=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[6, 5, 10, 33], Operations: []
Exploring Operation: 6*10=60, Resulting Numbers: [5, 33, 60]
Generated Node #0,0: 47:[5, 33, 60] Operation: 6*10=60
Exploring Operation: 6*5=30, Resulting Numbers: [10, 33, 30]
Generated Node #0,1: 47:[10, 33, 30] Operation: 6*5=30
Exploring Operation: 5*10=50, Resulting Numbers: [6, 33, 50]
Generated Node #0,2: 47:[6, 33, 50] Operation: 5*10=50
Moving to Node #0,2
Current State: 47:[6, 33, 50], Operations: ['5*10=50']
Exploring Operation: 6+33=39, Resulting Numbers: [50, 39]
Generated Node #0,2,0: 47:[50, 39] Operation: 6+33=39
Exploring Operation: 50-6=44, Resulting Numbers: [33, 44]
Generated Node #0,2,1: 47:[33, 44] Operation: 50-6=44
Exploring Operation: 33-6=27, Resulting Numbers: [50, 27]
Generated Node #0,2,2: 47:[50, 27] Operation: 33-6=27
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[50, 39], Operations: ['5*10=50', '6+33=39']
Exploring Operation: 50+39=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Exploring Operation: 50-39=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Exploring Operation: 50*39=1950, Resulting Numbers: [1950]
1950,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[33, 44], Operations: ['5*10=50', '50-6=44']
Exploring Operation: 33+44=77, Resulting Numbers: [77]
77,47 unequal: No Solution
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Exploring Operation: 33*44=1452, Resulting Numbers: [1452]
1452,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[50, 27], Operations: ['5*10=50', '33-6=27']
Exploring Operation: 50*27=1350, Resulting Numbers: [1350]
1350,47 unequal: No Solution
Exploring Operation: 50+27=77, Resulting Numbers: [77]
77,47 unequal: No Solution
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 47:[10, 33, 30], Operations: ['6*5=30']
Exploring Operation: 33-10=23, Resulting Numbers: [30, 23]
Generated Node #0,1,0: 47:[30, 23] Operation: 33-10=23
Exploring Operation: 10+33=43, Resulting Numbers: [30, 43]
Generated Node #0,1,1: 47:[30, 43] Operation: 10+33=43
Exploring Operation: 10+30=40, Resulting Numbers: [33, 40]
Generated Node #0,1,2: 47:[33, 40] Operation: 10+30=40
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[30, 43], Operations: ['6*5=30', '10+33=43']
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 30+43=73, Resulting Numbers: [73]
73,47 unequal: No Solution
Exploring Operation: 30*43=1290, Resulting Numbers: [1290]
1290,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[33, 40], Operations: ['6*5=30', '10+30=40']
Exploring Operation: 33*40=1320, Resulting Numbers: [1320]
1320,47 unequal: No Solution
Exploring Operation: 33+40=73, Resulting Numbers: [73]
73,47 unequal: No Solution
Exploring Operation: 40-33=7, Resulting Numbers: [7]
7,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[30, 23], Operations: ['6*5=30', '33-10=23']
Exploring Operation: 30*23=690, Resulting Numbers: [690]
690,47 unequal: No Solution
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,47 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: 47:[5, 33, 60], Operations: ['6*10=60']
Exploring Operation: 5+33=38, Resulting Numbers: [60, 38]
Generated Node #0,0,0: 47:[60, 38] Operation: 5+33=38
Exploring Operation: 33-5=28, Resulting Numbers: [60, 28]
Generated Node #0,0,1: 47:[60, 28] Operation: 33-5=28
Exploring Operation: 60-5=55, Resulting Numbers: [33, 55]
Generated Node #0,0,2: 47:[33, 55] Operation: 60-5=55
Moving to Node #0,0,0
Current State: 47:[60, 38], Operations: ['6*10=60', '5+33=38']
Exploring Operation: 60*38=2280, Resulting Numbers: [2280]
2280,47 unequal: No Solution
Exploring Operation: 60+38=98, Resulting Numbers: [98]
98,47 unequal: No Solution
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[33, 55], Operations: ['6*10=60', '60-5=55']
Exploring Operation: 33+55=88, Resulting Numbers: [88]
88,47 unequal: No Solution
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 33*55=1815, Resulting Numbers: [1815]
1815,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[60, 28], Operations: ['6*10=60', '33-5=28']
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,47 unequal: No Solution
Exploring Operation: 60*28=1680, Resulting Numbers: [1680]
1680,47 unequal: No Solution
Exploring Operation: 60+28=88, Resulting Numbers: [88]
88,47 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
85,
60,
76,
5
] | 49 | [
"85-60=25",
"5*25=125",
"125-76=49"
] | Current State: 49:[85, 60, 76, 5], Operations: []
Exploring Operation: 85-60=25, Resulting Numbers: [76, 5, 25]
Generated Node #2: [76, 5, 25] from Operation: 85-60=25
Current State: 49:[76, 5, 25], Operations: ['85-60=25']
Exploring Operation: 5*25=125, Resulting Numbers: [76, 125]
Generated Node #3: [76, 125] from Operation: 5*25=125
Current State: 49:[76, 125], Operations: ['85-60=25', '5*25=125']
Exploring Operation: 125-76=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[85, 60, 76, 5], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [60, 5, 9]
Generated Node #0,0: 49:[60, 5, 9] Operation: 85-76=9
Moving to Node #0,0
Current State: 49:[60, 5, 9], Operations: ['85-76=9']
Exploring Operation: 60-9=51, Resulting Numbers: [5, 51]
Generated Node #0,0,0: 49:[5, 51] Operation: 60-9=51
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[5, 51], Operations: ['85-76=9', '60-9=51']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
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