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 |
|---|---|---|---|---|---|---|---|---|
[
49,
61,
59,
12
] | 58 | [
"61-49=12",
"12/12=1",
"59-1=58"
] | Current State: 58:[49, 61, 59, 12], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [59, 12, 12]
Generated Node #2: [59, 12, 12] from Operation: 61-49=12
Current State: 58:[59, 12, 12], Operations: ['61-49=12']
Exploring Operation: 12/12=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 12/12=1
Current State: 58:[59, 1], Operations: ['61-49=12', '12/12=1']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[49, 61, 59, 12], Operations: []
Exploring Operation: 49-12=37, Resulting Numbers: [61, 59, 37]
Generated Node #0,0: 58:[61, 59, 37] Operation: 49-12=37
Exploring Operation: 61-12=49, Resulting Numbers: [49, 59, 49]
Generated Node #0,1: 58:[49, 59, 49] Operation: 61-12=49
Exploring Operation: 49+12=61, Resulting Numbers: [61, 59, 61]
Generated Node #0,2: 58:[61, 59, 61] Operation: 49+12=61
Exploring Operation: 61-59=2, Resulting Numbers: [49, 12, 2]
Generated Node #0,3: 58:[49, 12, 2] Operation: 61-59=2
Exploring Operation: 61-49=12, Resulting Numbers: [59, 12, 12]
Generated Node #0,4: 58:[59, 12, 12] Operation: 61-49=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[61, 59, 61], Operations: ['49+12=61']
Exploring Operation: 61+59=120, Resulting Numbers: [61, 120]
Generated Node #0,2,0: 58:[61, 120] Operation: 61+59=120
Exploring Operation: 61-59=2, Resulting Numbers: [61, 2]
Generated Node #0,2,1: 58:[61, 2] Operation: 61-59=2
Exploring Operation: 61-59=2, Resulting Numbers: [61, 2]
Generated Node #0,2,2: 58:[61, 2] Operation: 61-59=2
Exploring Operation: 61/61=1, Resulting Numbers: [59, 1]
Generated Node #0,2,3: 58:[59, 1] Operation: 61/61=1
Exploring Operation: 61-61=0, Resulting Numbers: [59, 0]
Generated Node #0,2,4: 58:[59, 0] Operation: 61-61=0
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 58:[59, 1], Operations: ['49+12=61', '61/61=1']
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,58 unequal: No Solution
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,58 unequal: No Solution
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,58 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[49, 61, 59, 12], Operations: []
Exploring Operation: 49+12=61, Resulting Numbers: [61, 59, 61]
Generated Node #0,2: 58:[61, 59, 61] Operation: 49+12=61
Moving to Node #0,2
Current State: 58:[61, 59, 61], Operations: ['49+12=61']
Exploring Operation: 61/61=1, Resulting Numbers: [59, 1]
Generated Node #0,2,3: 58:[59, 1] Operation: 61/61=1
Moving to Node #0,2,3
Current State: 58:[59, 1], Operations: ['49+12=61', '61/61=1']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
12,
36,
47,
60
] | 35 | [
"12+36=48",
"60-47=13",
"48-13=35"
] | Current State: 35:[12, 36, 47, 60], Operations: []
Exploring Operation: 12+36=48, Resulting Numbers: [47, 60, 48]
Generated Node #2: [47, 60, 48] from Operation: 12+36=48
Current State: 35:[47, 60, 48], Operations: ['12+36=48']
Exploring Operation: 60-47=13, Resulting Numbers: [48, 13]
Generated Node #3: [48, 13] from Operation: 60-47=13
Current State: 35:[48, 13], Operations: ['12+36=48', '60-47=13']
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[12, 36, 47, 60], Operations: []
Exploring Operation: 60/12=5, Resulting Numbers: [36, 47, 5]
Generated Node #0,0: 35:[36, 47, 5] Operation: 60/12=5
Exploring Operation: 60-47=13, Resulting Numbers: [12, 36, 13]
Generated Node #0,1: 35:[12, 36, 13] Operation: 60-47=13
Exploring Operation: 47-12=35, Resulting Numbers: [36, 60, 35]
Generated Node #0,2: 35:[36, 60, 35] Operation: 47-12=35
Exploring Operation: 60-12=48, Resulting Numbers: [36, 47, 48]
Generated Node #0,3: 35:[36, 47, 48] Operation: 60-12=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[12, 36, 13], Operations: ['60-47=13']
Exploring Operation: 36/12=3, Resulting Numbers: [13, 3]
Generated Node #0,1,0: 35:[13, 3] Operation: 36/12=3
Exploring Operation: 12+13=25, Resulting Numbers: [36, 25]
Generated Node #0,1,1: 35:[36, 25] Operation: 12+13=25
Exploring Operation: 13-12=1, Resulting Numbers: [36, 1]
Generated Node #0,1,2: 35:[36, 1] Operation: 13-12=1
Exploring Operation: 36-12=24, Resulting Numbers: [13, 24]
Generated Node #0,1,3: 35:[13, 24] Operation: 36-12=24
Moving to Node #0,1,2
Current State: 35:[36, 1], Operations: ['60-47=13', '13-12=1']
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,35 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[12, 36, 47, 60], Operations: []
Exploring Operation: 60-47=13, Resulting Numbers: [12, 36, 13]
Generated Node #0,1: 35:[12, 36, 13] Operation: 60-47=13
Moving to Node #0,1
Current State: 35:[12, 36, 13], Operations: ['60-47=13']
Exploring Operation: 13-12=1, Resulting Numbers: [36, 1]
Generated Node #0,1,2: 35:[36, 1] Operation: 13-12=1
Moving to Node #0,1,2
Current State: 35:[36, 1], Operations: ['60-47=13', '13-12=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
23,
20,
57,
84
] | 24 | [
"23-20=3",
"84-57=27",
"27-3=24"
] | Current State: 24:[23, 20, 57, 84], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [57, 84, 3]
Generated Node #2: [57, 84, 3] from Operation: 23-20=3
Current State: 24:[57, 84, 3], Operations: ['23-20=3']
Exploring Operation: 84-57=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 84-57=27
Current State: 24:[3, 27], Operations: ['23-20=3', '84-57=27']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[23, 20, 57, 84], Operations: []
Exploring Operation: 57-23=34, Resulting Numbers: [20, 84, 34]
Generated Node #0,0: 24:[20, 84, 34] Operation: 57-23=34
Exploring Operation: 84-20=64, Resulting Numbers: [23, 57, 64]
Generated Node #0,1: 24:[23, 57, 64] Operation: 84-20=64
Exploring Operation: 84-23=61, Resulting Numbers: [20, 57, 61]
Generated Node #0,2: 24:[20, 57, 61] Operation: 84-23=61
Exploring Operation: 84-57=27, Resulting Numbers: [23, 20, 27]
Generated Node #0,3: 24:[23, 20, 27] Operation: 84-57=27
Exploring Operation: 57-20=37, Resulting Numbers: [23, 84, 37]
Generated Node #0,4: 24:[23, 84, 37] Operation: 57-20=37
Start Sub Search at level 1: Moving to Node #0,3
Current State: 24:[23, 20, 27], Operations: ['84-57=27']
Exploring Operation: 27-23=4, Resulting Numbers: [20, 4]
Generated Node #0,3,0: 24:[20, 4] Operation: 27-23=4
Exploring Operation: 20+27=47, Resulting Numbers: [23, 47]
Generated Node #0,3,1: 24:[23, 47] Operation: 20+27=47
Exploring Operation: 23+20=43, Resulting Numbers: [27, 43]
Generated Node #0,3,2: 24:[27, 43] Operation: 23+20=43
Exploring Operation: 27-20=7, Resulting Numbers: [23, 7]
Generated Node #0,3,3: 24:[23, 7] Operation: 27-20=7
Exploring Operation: 23-20=3, Resulting Numbers: [27, 3]
Generated Node #0,3,4: 24:[27, 3] Operation: 23-20=3
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 24:[23, 7], Operations: ['84-57=27', '27-20=7']
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Exploring Operation: 23*7=161, Resulting Numbers: [161]
161,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 24:[27, 3], Operations: ['84-57=27', '23-20=3']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[23, 20, 57, 84], Operations: []
Exploring Operation: 84-57=27, Resulting Numbers: [23, 20, 27]
Generated Node #0,3: 24:[23, 20, 27] Operation: 84-57=27
Moving to Node #0,3
Current State: 24:[23, 20, 27], Operations: ['84-57=27']
Exploring Operation: 23-20=3, Resulting Numbers: [27, 3]
Generated Node #0,3,4: 24:[27, 3] Operation: 23-20=3
Moving to Node #0,3,4
Current State: 24:[27, 3], Operations: ['84-57=27', '23-20=3']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
87,
2,
22,
64
] | 97 | [
"87-22=65",
"64/2=32",
"65+32=97"
] | Current State: 97:[87, 2, 22, 64], Operations: []
Exploring Operation: 87-22=65, Resulting Numbers: [2, 64, 65]
Generated Node #2: [2, 64, 65] from Operation: 87-22=65
Current State: 97:[2, 64, 65], Operations: ['87-22=65']
Exploring Operation: 64/2=32, Resulting Numbers: [65, 32]
Generated Node #3: [65, 32] from Operation: 64/2=32
Current State: 97:[65, 32], Operations: ['87-22=65', '64/2=32']
Exploring Operation: 65+32=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[87, 2, 22, 64], Operations: []
Exploring Operation: 2*22=44, Resulting Numbers: [87, 64, 44]
Generated Node #0,0: 97:[87, 64, 44] Operation: 2*22=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[87, 64, 44], Operations: ['2*22=44']
Exploring Operation: 64+44=108, Resulting Numbers: [87, 108]
Generated Node #0,0,0: 97:[87, 108] Operation: 64+44=108
Moving to Node #0,0,0
Current State: 97:[87, 108], Operations: ['2*22=44', '64+44=108']
Exploring Operation: 108-87=21, Resulting Numbers: [21]
21,97 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 |
[
66,
82,
82,
24
] | 43 | [
"66-24=42",
"82/82=1",
"42+1=43"
] | Current State: 43:[66, 82, 82, 24], Operations: []
Exploring Operation: 66-24=42, Resulting Numbers: [82, 82, 42]
Generated Node #2: [82, 82, 42] from Operation: 66-24=42
Current State: 43:[82, 82, 42], Operations: ['66-24=42']
Exploring Operation: 82/82=1, Resulting Numbers: [42, 1]
Generated Node #3: [42, 1] from Operation: 82/82=1
Current State: 43:[42, 1], Operations: ['66-24=42', '82/82=1']
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[66, 82, 82, 24], Operations: []
Exploring Operation: 82-24=58, Resulting Numbers: [66, 82, 58]
Generated Node #0,0: 43:[66, 82, 58] Operation: 82-24=58
Exploring Operation: 82-24=58, Resulting Numbers: [66, 82, 58]
Generated Node #0,1: 43:[66, 82, 58] Operation: 82-24=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[66, 82, 58], Operations: ['82-24=58']
Exploring Operation: 82-66=16, Resulting Numbers: [58, 16]
Generated Node #0,0,0: 43:[58, 16] Operation: 82-66=16
Exploring Operation: 82-58=24, Resulting Numbers: [66, 24]
Generated Node #0,0,1: 43:[66, 24] Operation: 82-58=24
Moving to Node #0,0,0
Current State: 43:[58, 16], Operations: ['82-24=58', '82-66=16']
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,43 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[66, 24], Operations: ['82-24=58', '82-58=24']
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,43 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,43 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:[66, 82, 58], Operations: ['82-24=58']
Exploring Operation: 82-66=16, Resulting Numbers: [58, 16]
Generated Node #0,1,0: 43:[58, 16] Operation: 82-66=16
Exploring Operation: 82-58=24, Resulting Numbers: [66, 24]
Generated Node #0,1,1: 43:[66, 24] Operation: 82-58=24
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 43:[58, 16], Operations: ['82-24=58', '82-66=16']
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,43 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,43 unequal: No Solution
No 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: 43:[66, 24], Operations: ['82-24=58', '82-58=24']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,43 unequal: No Solution
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,43 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 |
[
69,
94,
8,
19
] | 14 | [
"94-69=25",
"19-8=11",
"25-11=14"
] | Current State: 14:[69, 94, 8, 19], Operations: []
Exploring Operation: 94-69=25, Resulting Numbers: [8, 19, 25]
Generated Node #2: [8, 19, 25] from Operation: 94-69=25
Current State: 14:[8, 19, 25], Operations: ['94-69=25']
Exploring Operation: 19-8=11, Resulting Numbers: [25, 11]
Generated Node #3: [25, 11] from Operation: 19-8=11
Current State: 14:[25, 11], Operations: ['94-69=25', '19-8=11']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[69, 94, 8, 19], Operations: []
Exploring Operation: 94-8=86, Resulting Numbers: [69, 19, 86]
Generated Node #0,0: 14:[69, 19, 86] Operation: 94-8=86
Exploring Operation: 94-69=25, Resulting Numbers: [8, 19, 25]
Generated Node #0,1: 14:[8, 19, 25] Operation: 94-69=25
Exploring Operation: 69-19=50, Resulting Numbers: [94, 8, 50]
Generated Node #0,2: 14:[94, 8, 50] Operation: 69-19=50
Exploring Operation: 69-8=61, Resulting Numbers: [94, 19, 61]
Generated Node #0,3: 14:[94, 19, 61] Operation: 69-8=61
Exploring Operation: 94-19=75, Resulting Numbers: [69, 8, 75]
Generated Node #0,4: 14:[69, 8, 75] Operation: 94-19=75
Moving to Node #0,1
Current State: 14:[8, 19, 25], Operations: ['94-69=25']
Exploring Operation: 8+19=27, Resulting Numbers: [25, 27]
Generated Node #0,1,0: 14:[25, 27] Operation: 8+19=27
Exploring Operation: 25-8=17, Resulting Numbers: [19, 17]
Generated Node #0,1,1: 14:[19, 17] Operation: 25-8=17
Exploring Operation: 19-8=11, Resulting Numbers: [25, 11]
Generated Node #0,1,2: 14:[25, 11] Operation: 19-8=11
Exploring Operation: 8+25=33, Resulting Numbers: [19, 33]
Generated Node #0,1,3: 14:[19, 33] Operation: 8+25=33
Exploring Operation: 25-19=6, Resulting Numbers: [8, 6]
Generated Node #0,1,4: 14:[8, 6] Operation: 25-19=6
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 14:[8, 6], Operations: ['94-69=25', '25-19=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[69, 94, 8, 19], Operations: []
Exploring Operation: 94-69=25, Resulting Numbers: [8, 19, 25]
Generated Node #0,1: 14:[8, 19, 25] Operation: 94-69=25
Moving to Node #0,1
Current State: 14:[8, 19, 25], Operations: ['94-69=25']
Exploring Operation: 25-19=6, Resulting Numbers: [8, 6]
Generated Node #0,1,4: 14:[8, 6] Operation: 25-19=6
Moving to Node #0,1,4
Current State: 14:[8, 6], Operations: ['94-69=25', '25-19=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
3,
1,
44,
20
] | 27 | [
"3*1=3",
"44-20=24",
"3+24=27"
] | Current State: 27:[3, 1, 44, 20], Operations: []
Exploring Operation: 3*1=3, Resulting Numbers: [44, 20, 3]
Generated Node #2: [44, 20, 3] from Operation: 3*1=3
Current State: 27:[44, 20, 3], Operations: ['3*1=3']
Exploring Operation: 44-20=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 44-20=24
Current State: 27:[3, 24], Operations: ['3*1=3', '44-20=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[3, 1, 44, 20], Operations: []
Exploring Operation: 44-1=43, Resulting Numbers: [3, 20, 43]
Generated Node #0,0: 27:[3, 20, 43] Operation: 44-1=43
Exploring Operation: 44-20=24, Resulting Numbers: [3, 1, 24]
Generated Node #0,1: 27:[3, 1, 24] Operation: 44-20=24
Exploring Operation: 3+20=23, Resulting Numbers: [1, 44, 23]
Generated Node #0,2: 27:[1, 44, 23] Operation: 3+20=23
Exploring Operation: 1+20=21, Resulting Numbers: [3, 44, 21]
Generated Node #0,3: 27:[3, 44, 21] Operation: 1+20=21
Exploring Operation: 44-3=41, Resulting Numbers: [1, 20, 41]
Generated Node #0,4: 27:[1, 20, 41] Operation: 44-3=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[3, 1, 24], Operations: ['44-20=24']
Exploring Operation: 24/3=8, Resulting Numbers: [1, 8]
Generated Node #0,1,0: 27:[1, 8] Operation: 24/3=8
Exploring Operation: 1+24=25, Resulting Numbers: [3, 25]
Generated Node #0,1,1: 27:[3, 25] Operation: 1+24=25
Exploring Operation: 3+24=27, Resulting Numbers: [1, 27]
Generated Node #0,1,2: 27:[1, 27] Operation: 3+24=27
Exploring Operation: 3/1=3, Resulting Numbers: [24, 3]
Generated Node #0,1,3: 27:[24, 3] Operation: 3/1=3
Exploring Operation: 3*1=3, Resulting Numbers: [24, 3]
Generated Node #0,1,4: 27:[24, 3] Operation: 3*1=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 27:[3, 25], Operations: ['44-20=24', '1+24=25']
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,27 unequal: No Solution
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 27:[1, 27], Operations: ['44-20=24', '3+24=27']
Exploring Operation: 1*27=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[3, 1, 44, 20], Operations: []
Exploring Operation: 44-20=24, Resulting Numbers: [3, 1, 24]
Generated Node #0,1: 27:[3, 1, 24] Operation: 44-20=24
Moving to Node #0,1
Current State: 27:[3, 1, 24], Operations: ['44-20=24']
Exploring Operation: 3+24=27, Resulting Numbers: [1, 27]
Generated Node #0,1,2: 27:[1, 27] Operation: 3+24=27
Moving to Node #0,1,2
Current State: 27:[1, 27], Operations: ['44-20=24', '3+24=27']
Exploring Operation: 1*27=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
30,
67,
97,
20
] | 45 | [
"97-67=30",
"30*30=900",
"900/20=45"
] | Current State: 45:[30, 67, 97, 20], Operations: []
Exploring Operation: 97-67=30, Resulting Numbers: [30, 20, 30]
Generated Node #2: [30, 20, 30] from Operation: 97-67=30
Current State: 45:[30, 20, 30], Operations: ['97-67=30']
Exploring Operation: 30*30=900, Resulting Numbers: [20, 900]
Generated Node #3: [20, 900] from Operation: 30*30=900
Current State: 45:[20, 900], Operations: ['97-67=30', '30*30=900']
Exploring Operation: 900/20=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[30, 67, 97, 20], Operations: []
Exploring Operation: 67-20=47, Resulting Numbers: [30, 97, 47]
Generated Node #0,0: 45:[30, 97, 47] Operation: 67-20=47
Exploring Operation: 97-67=30, Resulting Numbers: [30, 20, 30]
Generated Node #0,1: 45:[30, 20, 30] Operation: 97-67=30
Exploring Operation: 97-30=67, Resulting Numbers: [67, 20, 67]
Generated Node #0,2: 45:[67, 20, 67] Operation: 97-30=67
Exploring Operation: 67-30=37, Resulting Numbers: [97, 20, 37]
Generated Node #0,3: 45:[97, 20, 37] Operation: 67-30=37
Moving to Node #0,1
Current State: 45:[30, 20, 30], Operations: ['97-67=30']
Exploring Operation: 30-30=0, Resulting Numbers: [20, 0]
Generated Node #0,1,0: 45:[20, 0] Operation: 30-30=0
Exploring Operation: 30-20=10, Resulting Numbers: [30, 10]
Generated Node #0,1,1: 45:[30, 10] Operation: 30-20=10
Exploring Operation: 30/30=1, Resulting Numbers: [20, 1]
Generated Node #0,1,2: 45:[20, 1] Operation: 30/30=1
Exploring Operation: 30-20=10, Resulting Numbers: [30, 10]
Generated Node #0,1,3: 45:[30, 10] Operation: 30-20=10
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[20, 1], Operations: ['97-67=30', '30/30=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,45 unequal: No Solution
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,45 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:[20, 0], Operations: ['97-67=30', '30-30=0']
Exploring Operation: 20+0=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 20-0=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 20*0=0, Resulting Numbers: [0]
0,45 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 #0,1,1
Current State: 45:[30, 10], Operations: ['97-67=30', '30-20=10']
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 30*10=300, Resulting Numbers: [300]
300,45 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 30+10=40, Resulting Numbers: [40]
40,45 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 #0,1,3
Current State: 45:[30, 10], Operations: ['97-67=30', '30-20=10']
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 30+10=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 30*10=300, Resulting Numbers: [300]
300,45 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: 45:[67, 20, 67], Operations: ['97-30=67']
Exploring Operation: 67-20=47, Resulting Numbers: [67, 47]
Generated Node #0,2,0: 45:[67, 47] Operation: 67-20=47
Exploring Operation: 67/67=1, Resulting Numbers: [20, 1]
Generated Node #0,2,1: 45:[20, 1] Operation: 67/67=1
Exploring Operation: 67-67=0, Resulting Numbers: [20, 0]
Generated Node #0,2,2: 45:[20, 0] Operation: 67-67=0
Exploring Operation: 67-20=47, Resulting Numbers: [67, 47]
Generated Node #0,2,3: 45:[67, 47] Operation: 67-20=47
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 45:[20, 1], Operations: ['97-30=67', '67/67=1']
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,45 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 #0,2,2
Current State: 45:[20, 0], Operations: ['97-30=67', '67-67=0']
Exploring Operation: 20+0=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 20-0=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 20*0=0, Resulting Numbers: [0]
0,45 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 #0,2,0
Current State: 45:[67, 47], Operations: ['97-30=67', '67-20=47']
Exploring Operation: 67-47=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 67+47=114, Resulting Numbers: [114]
114,45 unequal: No Solution
Exploring Operation: 67*47=3149, Resulting Numbers: [3149]
3149,45 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 #0,2,3
Current State: 45:[67, 47], Operations: ['97-30=67', '67-20=47']
Exploring Operation: 67-47=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 67+47=114, Resulting Numbers: [114]
114,45 unequal: No Solution
Exploring Operation: 67*47=3149, Resulting Numbers: [3149]
3149,45 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: 45:[97, 20, 37], Operations: ['67-30=37']
Exploring Operation: 97-37=60, Resulting Numbers: [20, 60]
Generated Node #0,3,0: 45:[20, 60] Operation: 97-37=60
Exploring Operation: 20+37=57, Resulting Numbers: [97, 57]
Generated Node #0,3,1: 45:[97, 57] Operation: 20+37=57
Exploring Operation: 37-20=17, Resulting Numbers: [97, 17]
Generated Node #0,3,2: 45:[97, 17] Operation: 37-20=17
Exploring Operation: 97-20=77, Resulting Numbers: [37, 77]
Generated Node #0,3,3: 45:[37, 77] Operation: 97-20=77
Moving to Node #0,0
Current State: 45:[30, 97, 47], Operations: ['67-20=47']
Exploring Operation: 97-30=67, Resulting Numbers: [47, 67]
Generated Node #0,0,0: 45:[47, 67] Operation: 97-30=67
Exploring Operation: 47-30=17, Resulting Numbers: [97, 17]
Generated Node #0,0,1: 45:[97, 17] Operation: 47-30=17
Exploring Operation: 30+97=127, Resulting Numbers: [47, 127]
Generated Node #0,0,2: 45:[47, 127] Operation: 30+97=127
Exploring Operation: 97-47=50, Resulting Numbers: [30, 50]
Generated Node #0,0,3: 45:[30, 50] Operation: 97-47=50
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 45:[30, 50], Operations: ['67-20=47', '97-47=50']
Exploring Operation: 30*50=1500, Resulting Numbers: [1500]
1500,45 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,45 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 #0,0,0
Current State: 45:[47, 67], Operations: ['67-20=47', '97-30=67']
Exploring Operation: 47*67=3149, Resulting Numbers: [3149]
3149,45 unequal: No Solution
Exploring Operation: 47+67=114, Resulting Numbers: [114]
114,45 unequal: No Solution
Exploring Operation: 67-47=20, Resulting Numbers: [20]
20,45 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:[97, 17], Operations: ['67-20=47', '47-30=17']
Exploring Operation: 97*17=1649, Resulting Numbers: [1649]
1649,45 unequal: No Solution
Exploring Operation: 97+17=114, Resulting Numbers: [114]
114,45 unequal: No Solution
Exploring Operation: 97-17=80, Resulting Numbers: [80]
80,45 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 #0,0,2
Current State: 45:[47, 127], Operations: ['67-20=47', '30+97=127']
Exploring Operation: 127-47=80, Resulting Numbers: [80]
80,45 unequal: No Solution
Exploring Operation: 47*127=5969, Resulting Numbers: [5969]
5969,45 unequal: No Solution
Exploring Operation: 47+127=174, Resulting Numbers: [174]
174,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 45:[20, 60], Operations: ['67-30=37', '97-37=60']
Exploring Operation: 20*60=1200, Resulting Numbers: [1200]
1200,45 unequal: No Solution
Exploring Operation: 60/20=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 20+60=80, Resulting Numbers: [80]
80,45 unequal: No Solution
Exploring Operation: 60-20=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[37, 77], Operations: ['67-30=37', '97-20=77']
Exploring Operation: 37+77=114, Resulting Numbers: [114]
114,45 unequal: No Solution
Exploring Operation: 77-37=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 37*77=2849, Resulting Numbers: [2849]
2849,45 unequal: No Solution
Moving to Node #0,3,2
Current State: 45:[97, 17], Operations: ['67-30=37', '37-20=17']
Exploring Operation: 97*17=1649, Resulting Numbers: [1649]
1649,45 unequal: No Solution
Exploring Operation: 97+17=114, Resulting Numbers: [114]
114,45 unequal: No Solution
Exploring Operation: 97-17=80, Resulting Numbers: [80]
80,45 unequal: No Solution
Moving to Node #0,3,1
Current State: 45:[97, 57], Operations: ['67-30=37', '20+37=57']
Exploring Operation: 97+57=154, Resulting Numbers: [154]
154,45 unequal: No Solution
Exploring Operation: 97-57=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 97*57=5529, Resulting Numbers: [5529]
5529,45 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
97,
38,
72,
29
] | 77 | [
"97*29=2813",
"38*72=2736",
"2813-2736=77"
] | Current State: 77:[97, 38, 72, 29], Operations: []
Exploring Operation: 97*29=2813, Resulting Numbers: [38, 72, 2813]
Generated Node #2: [38, 72, 2813] from Operation: 97*29=2813
Current State: 77:[38, 72, 2813], Operations: ['97*29=2813']
Exploring Operation: 38*72=2736, Resulting Numbers: [2813, 2736]
Generated Node #3: [2813, 2736] from Operation: 38*72=2736
Current State: 77:[2813, 2736], Operations: ['97*29=2813', '38*72=2736']
Exploring Operation: 2813-2736=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[97, 38, 72, 29], Operations: []
Exploring Operation: 38+29=67, Resulting Numbers: [97, 72, 67]
Generated Node #0,0: 77:[97, 72, 67] Operation: 38+29=67
Exploring Operation: 38-29=9, Resulting Numbers: [97, 72, 9]
Generated Node #0,1: 77:[97, 72, 9] Operation: 38-29=9
Moving to Node #0,1
Current State: 77:[97, 72, 9], Operations: ['38-29=9']
Exploring Operation: 97-72=25, Resulting Numbers: [9, 25]
Generated Node #0,1,0: 77:[9, 25] Operation: 97-72=25
Exploring Operation: 97-9=88, Resulting Numbers: [72, 88]
Generated Node #0,1,1: 77:[72, 88] Operation: 97-9=88
Moving to Node #0,0
Current State: 77:[97, 72, 67], Operations: ['38+29=67']
Exploring Operation: 72-67=5, Resulting Numbers: [97, 5]
Generated Node #0,0,0: 77:[97, 5] Operation: 72-67=5
Exploring Operation: 97-72=25, Resulting Numbers: [67, 25]
Generated Node #0,0,1: 77:[67, 25] Operation: 97-72=25
Moving to Node #0,1,0
Current State: 77:[9, 25], Operations: ['38-29=9', '97-72=25']
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,77 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[72, 88], Operations: ['38-29=9', '97-9=88']
Exploring Operation: 88-72=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 72+88=160, Resulting Numbers: [160]
160,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[97, 5], Operations: ['38+29=67', '72-67=5']
Exploring Operation: 97+5=102, Resulting Numbers: [102]
102,77 unequal: No Solution
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[67, 25], Operations: ['38+29=67', '97-72=25']
Exploring Operation: 67-25=42, Resulting Numbers: [42]
42,77 unequal: No Solution
Exploring Operation: 67+25=92, Resulting Numbers: [92]
92,77 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
34,
16,
75,
33
] | 59 | [
"34-33=1",
"75-16=59",
"1*59=59"
] | Current State: 59:[34, 16, 75, 33], Operations: []
Exploring Operation: 34-33=1, Resulting Numbers: [16, 75, 1]
Generated Node #2: [16, 75, 1] from Operation: 34-33=1
Current State: 59:[16, 75, 1], Operations: ['34-33=1']
Exploring Operation: 75-16=59, Resulting Numbers: [1, 59]
Generated Node #3: [1, 59] from Operation: 75-16=59
Current State: 59:[1, 59], Operations: ['34-33=1', '75-16=59']
Exploring Operation: 1*59=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[34, 16, 75, 33], Operations: []
Exploring Operation: 34+33=67, Resulting Numbers: [16, 75, 67]
Generated Node #0,0: 59:[16, 75, 67] Operation: 34+33=67
Exploring Operation: 34-16=18, Resulting Numbers: [75, 33, 18]
Generated Node #0,1: 59:[75, 33, 18] Operation: 34-16=18
Exploring Operation: 16+33=49, Resulting Numbers: [34, 75, 49]
Generated Node #0,2: 59:[34, 75, 49] Operation: 16+33=49
Exploring Operation: 34+16=50, Resulting Numbers: [75, 33, 50]
Generated Node #0,3: 59:[75, 33, 50] Operation: 34+16=50
Exploring Operation: 75-16=59, Resulting Numbers: [34, 33, 59]
Generated Node #0,4: 59:[34, 33, 59] Operation: 75-16=59
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[34, 75, 49], Operations: ['16+33=49']
Exploring Operation: 34+49=83, Resulting Numbers: [75, 83]
Generated Node #0,2,0: 59:[75, 83] Operation: 34+49=83
Exploring Operation: 49-34=15, Resulting Numbers: [75, 15]
Generated Node #0,2,1: 59:[75, 15] Operation: 49-34=15
Exploring Operation: 75-49=26, Resulting Numbers: [34, 26]
Generated Node #0,2,2: 59:[34, 26] Operation: 75-49=26
Exploring Operation: 75-34=41, Resulting Numbers: [49, 41]
Generated Node #0,2,3: 59:[49, 41] Operation: 75-34=41
Exploring Operation: 34+75=109, Resulting Numbers: [49, 109]
Generated Node #0,2,4: 59:[49, 109] Operation: 34+75=109
Moving to Node #0,2,3
Current State: 59:[49, 41], Operations: ['16+33=49', '75-34=41']
Exploring Operation: 49+41=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Exploring Operation: 49*41=2009, Resulting Numbers: [2009]
2009,59 unequal: No Solution
Exploring Operation: 49-41=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[75, 83], Operations: ['16+33=49', '34+49=83']
Exploring Operation: 75*83=6225, Resulting Numbers: [6225]
6225,59 unequal: No Solution
Exploring Operation: 75+83=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 83-75=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[34, 26], Operations: ['16+33=49', '75-49=26']
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,59 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[75, 15], Operations: ['16+33=49', '49-34=15']
Exploring Operation: 75+15=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 75*15=1125, Resulting Numbers: [1125]
1125,59 unequal: No Solution
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Moving to Node #0,2,4
Current State: 59:[49, 109], Operations: ['16+33=49', '34+75=109']
Exploring Operation: 49+109=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 49*109=5341, Resulting Numbers: [5341]
5341,59 unequal: No Solution
Exploring Operation: 109-49=60, Resulting Numbers: [60]
60,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[75, 33, 50], Operations: ['34+16=50']
Exploring Operation: 75-50=25, Resulting Numbers: [33, 25]
Generated Node #0,3,0: 59:[33, 25] Operation: 75-50=25
Exploring Operation: 75-33=42, Resulting Numbers: [50, 42]
Generated Node #0,3,1: 59:[50, 42] Operation: 75-33=42
Exploring Operation: 33+50=83, Resulting Numbers: [75, 83]
Generated Node #0,3,2: 59:[75, 83] Operation: 33+50=83
Exploring Operation: 50-33=17, Resulting Numbers: [75, 17]
Generated Node #0,3,3: 59:[75, 17] Operation: 50-33=17
Exploring Operation: 75+33=108, Resulting Numbers: [50, 108]
Generated Node #0,3,4: 59:[50, 108] Operation: 75+33=108
Moving to Node #0,3,1
Current State: 59:[50, 42], Operations: ['34+16=50', '75-33=42']
Exploring Operation: 50-42=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 50+42=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 50*42=2100, Resulting Numbers: [2100]
2100,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[75, 83], Operations: ['34+16=50', '33+50=83']
Exploring Operation: 75+83=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 83-75=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 75*83=6225, Resulting Numbers: [6225]
6225,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[75, 17], Operations: ['34+16=50', '50-33=17']
Exploring Operation: 75*17=1275, Resulting Numbers: [1275]
1275,59 unequal: No Solution
Exploring Operation: 75+17=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 75-17=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Moving to Node #0,3,4
Current State: 59:[50, 108], Operations: ['34+16=50', '75+33=108']
Exploring Operation: 50+108=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 50*108=5400, Resulting Numbers: [5400]
5400,59 unequal: No Solution
Exploring Operation: 108-50=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[33, 25], Operations: ['34+16=50', '75-50=25']
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,59 unequal: No Solution
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 59:[34, 33, 59], Operations: ['75-16=59']
Exploring Operation: 34+33=67, Resulting Numbers: [59, 67]
Generated Node #0,4,0: 59:[59, 67] Operation: 34+33=67
Exploring Operation: 34+59=93, Resulting Numbers: [33, 93]
Generated Node #0,4,1: 59:[33, 93] Operation: 34+59=93
Exploring Operation: 59-33=26, Resulting Numbers: [34, 26]
Generated Node #0,4,2: 59:[34, 26] Operation: 59-33=26
Exploring Operation: 33+59=92, Resulting Numbers: [34, 92]
Generated Node #0,4,3: 59:[34, 92] Operation: 33+59=92
Exploring Operation: 34-33=1, Resulting Numbers: [59, 1]
Generated Node #0,4,4: 59:[59, 1] Operation: 34-33=1
Moving to Node #0,4,0
Current State: 59:[59, 67], Operations: ['75-16=59', '34+33=67']
Exploring Operation: 59*67=3953, Resulting Numbers: [3953]
3953,59 unequal: No Solution
Exploring Operation: 59+67=126, Resulting Numbers: [126]
126,59 unequal: No Solution
Exploring Operation: 67-59=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Moving to Node #0,4,3
Current State: 59:[34, 92], Operations: ['75-16=59', '33+59=92']
Exploring Operation: 34+92=126, Resulting Numbers: [126]
126,59 unequal: No Solution
Exploring Operation: 34*92=3128, Resulting Numbers: [3128]
3128,59 unequal: No Solution
Exploring Operation: 92-34=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Moving to Node #0,4,2
Current State: 59:[34, 26], Operations: ['75-16=59', '59-33=26']
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,59 unequal: No Solution
Moving to Node #0,4,4
Current State: 59:[59, 1], Operations: ['75-16=59', '34-33=1']
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[34, 16, 75, 33], Operations: []
Exploring Operation: 75-16=59, Resulting Numbers: [34, 33, 59]
Generated Node #0,4: 59:[34, 33, 59] Operation: 75-16=59
Moving to Node #0,4
Current State: 59:[34, 33, 59], Operations: ['75-16=59']
Exploring Operation: 34-33=1, Resulting Numbers: [59, 1]
Generated Node #0,4,4: 59:[59, 1] Operation: 34-33=1
Moving to Node #0,4,4
Current State: 59:[59, 1], Operations: ['75-16=59', '34-33=1']
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.943576 | hs_5 | mult_heuristic |
[
68,
15,
49,
61
] | 95 | [
"68+15=83",
"61-49=12",
"83+12=95"
] | Current State: 95:[68, 15, 49, 61], Operations: []
Exploring Operation: 68+15=83, Resulting Numbers: [49, 61, 83]
Generated Node #2: [49, 61, 83] from Operation: 68+15=83
Current State: 95:[49, 61, 83], Operations: ['68+15=83']
Exploring Operation: 61-49=12, Resulting Numbers: [83, 12]
Generated Node #3: [83, 12] from Operation: 61-49=12
Current State: 95:[83, 12], Operations: ['68+15=83', '61-49=12']
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[68, 15, 49, 61], Operations: []
Exploring Operation: 68-49=19, Resulting Numbers: [15, 61, 19]
Generated Node #0,0: 95:[15, 61, 19] Operation: 68-49=19
Exploring Operation: 68-61=7, Resulting Numbers: [15, 49, 7]
Generated Node #0,1: 95:[15, 49, 7] Operation: 68-61=7
Exploring Operation: 61-49=12, Resulting Numbers: [68, 15, 12]
Generated Node #0,2: 95:[68, 15, 12] Operation: 61-49=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[15, 49, 7], Operations: ['68-61=7']
Exploring Operation: 49/7=7, Resulting Numbers: [15, 7]
Generated Node #0,1,0: 95:[15, 7] Operation: 49/7=7
Exploring Operation: 49-7=42, Resulting Numbers: [15, 42]
Generated Node #0,1,1: 95:[15, 42] Operation: 49-7=42
Exploring Operation: 49-15=34, Resulting Numbers: [7, 34]
Generated Node #0,1,2: 95:[7, 34] Operation: 49-15=34
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 95:[15, 7], Operations: ['68-61=7', '49/7=7']
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,95 unequal: No Solution
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,95 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:[7, 34], Operations: ['68-61=7', '49-15=34']
Exploring Operation: 7*34=238, Resulting Numbers: [238]
238,95 unequal: No Solution
Exploring Operation: 7+34=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,95 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:[15, 42], Operations: ['68-61=7', '49-7=42']
Exploring Operation: 15*42=630, Resulting Numbers: [630]
630,95 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,95 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:[15, 61, 19], Operations: ['68-49=19']
Exploring Operation: 15+61=76, Resulting Numbers: [19, 76]
Generated Node #0,0,0: 95:[19, 76] Operation: 15+61=76
Exploring Operation: 61-15=46, Resulting Numbers: [19, 46]
Generated Node #0,0,1: 95:[19, 46] Operation: 61-15=46
Exploring Operation: 61+19=80, Resulting Numbers: [15, 80]
Generated Node #0,0,2: 95:[15, 80] Operation: 61+19=80
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[19, 76], Operations: ['68-49=19', '15+61=76']
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,95 unequal: No Solution
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[68, 15, 49, 61], Operations: []
Exploring Operation: 68-49=19, Resulting Numbers: [15, 61, 19]
Generated Node #0,0: 95:[15, 61, 19] Operation: 68-49=19
Moving to Node #0,0
Current State: 95:[15, 61, 19], Operations: ['68-49=19']
Exploring Operation: 15+61=76, Resulting Numbers: [19, 76]
Generated Node #0,0,0: 95:[19, 76] Operation: 15+61=76
Moving to Node #0,0,0
Current State: 95:[19, 76], Operations: ['68-49=19', '15+61=76']
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
85,
62,
34,
19
] | 94 | [
"85+62=147",
"34+19=53",
"147-53=94"
] | Current State: 94:[85, 62, 34, 19], Operations: []
Exploring Operation: 85+62=147, Resulting Numbers: [34, 19, 147]
Generated Node #2: [34, 19, 147] from Operation: 85+62=147
Current State: 94:[34, 19, 147], Operations: ['85+62=147']
Exploring Operation: 34+19=53, Resulting Numbers: [147, 53]
Generated Node #3: [147, 53] from Operation: 34+19=53
Current State: 94:[147, 53], Operations: ['85+62=147', '34+19=53']
Exploring Operation: 147-53=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[85, 62, 34, 19], Operations: []
Exploring Operation: 34+19=53, Resulting Numbers: [85, 62, 53]
Generated Node #0,0: 94:[85, 62, 53] Operation: 34+19=53
Exploring Operation: 62+34=96, Resulting Numbers: [85, 19, 96]
Generated Node #0,1: 94:[85, 19, 96] Operation: 62+34=96
Exploring Operation: 62-19=43, Resulting Numbers: [85, 34, 43]
Generated Node #0,2: 94:[85, 34, 43] Operation: 62-19=43
Start Sub Search at level 1: Moving to Node #0,2
Current State: 94:[85, 34, 43], Operations: ['62-19=43']
Exploring Operation: 43-34=9, Resulting Numbers: [85, 9]
Generated Node #0,2,0: 94:[85, 9] Operation: 43-34=9
Exploring Operation: 85-43=42, Resulting Numbers: [34, 42]
Generated Node #0,2,1: 94:[34, 42] Operation: 85-43=42
Exploring Operation: 85-34=51, Resulting Numbers: [43, 51]
Generated Node #0,2,2: 94:[43, 51] Operation: 85-34=51
Moving to Node #0,2,2
Current State: 94:[43, 51], Operations: ['62-19=43', '85-34=51']
Exploring Operation: 51-43=8, Resulting Numbers: [8]
8,94 unequal: No Solution
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[85, 62, 34, 19], Operations: []
Exploring Operation: 62-19=43, Resulting Numbers: [85, 34, 43]
Generated Node #0,2: 94:[85, 34, 43] Operation: 62-19=43
Moving to Node #0,2
Current State: 94:[85, 34, 43], Operations: ['62-19=43']
Exploring Operation: 85-34=51, Resulting Numbers: [43, 51]
Generated Node #0,2,2: 94:[43, 51] Operation: 85-34=51
Moving to Node #0,2,2
Current State: 94:[43, 51], Operations: ['62-19=43', '85-34=51']
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
58,
87,
80,
16
] | 54 | [
"87-80=7",
"16*7=112",
"112-58=54"
] | Current State: 54:[58, 87, 80, 16], Operations: []
Exploring Operation: 87-80=7, Resulting Numbers: [58, 16, 7]
Generated Node #2: [58, 16, 7] from Operation: 87-80=7
Current State: 54:[58, 16, 7], Operations: ['87-80=7']
Exploring Operation: 16*7=112, Resulting Numbers: [58, 112]
Generated Node #3: [58, 112] from Operation: 16*7=112
Current State: 54:[58, 112], Operations: ['87-80=7', '16*7=112']
Exploring Operation: 112-58=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[58, 87, 80, 16], Operations: []
Exploring Operation: 87-58=29, Resulting Numbers: [80, 16, 29]
Generated Node #0,0: 54:[80, 16, 29] Operation: 87-58=29
Exploring Operation: 80/16=5, Resulting Numbers: [58, 87, 5]
Generated Node #0,1: 54:[58, 87, 5] Operation: 80/16=5
Exploring Operation: 87-80=7, Resulting Numbers: [58, 16, 7]
Generated Node #0,2: 54:[58, 16, 7] Operation: 87-80=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[58, 16, 7], Operations: ['87-80=7']
Exploring Operation: 16+7=23, Resulting Numbers: [58, 23]
Generated Node #0,2,0: 54:[58, 23] Operation: 16+7=23
Exploring Operation: 58-7=51, Resulting Numbers: [16, 51]
Generated Node #0,2,1: 54:[16, 51] Operation: 58-7=51
Exploring Operation: 16-7=9, Resulting Numbers: [58, 9]
Generated Node #0,2,2: 54:[58, 9] Operation: 16-7=9
Moving to Node #0,2,2
Current State: 54:[58, 9], Operations: ['87-80=7', '16-7=9']
Exploring Operation: 58+9=67, Resulting Numbers: [67]
67,54 unequal: No Solution
Exploring Operation: 58*9=522, Resulting Numbers: [522]
522,54 unequal: No Solution
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,54 unequal: No Solution
Moving to Node #0,2,1
Current State: 54:[16, 51], Operations: ['87-80=7', '58-7=51']
Exploring Operation: 16+51=67, Resulting Numbers: [67]
67,54 unequal: No Solution
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,54 unequal: No Solution
Exploring Operation: 16*51=816, Resulting Numbers: [816]
816,54 unequal: No Solution
Moving to Node #0,2,0
Current State: 54:[58, 23], Operations: ['87-80=7', '16+7=23']
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,54 unequal: No Solution
Exploring Operation: 58+23=81, Resulting Numbers: [81]
81,54 unequal: No Solution
Exploring Operation: 58*23=1334, Resulting Numbers: [1334]
1334,54 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:[80, 16, 29], Operations: ['87-58=29']
Exploring Operation: 80/16=5, Resulting Numbers: [29, 5]
Generated Node #0,0,0: 54:[29, 5] Operation: 80/16=5
Exploring Operation: 80-16=64, Resulting Numbers: [29, 64]
Generated Node #0,0,1: 54:[29, 64] Operation: 80-16=64
Exploring Operation: 80-29=51, Resulting Numbers: [16, 51]
Generated Node #0,0,2: 54:[16, 51] Operation: 80-29=51
Moving to Node #0,0,0
Current State: 54:[29, 5], Operations: ['87-58=29', '80/16=5']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 29*5=145, Resulting Numbers: [145]
145,54 unequal: No Solution
Moving to Node #0,0,2
Current State: 54:[16, 51], Operations: ['87-58=29', '80-29=51']
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,54 unequal: No Solution
Exploring Operation: 16*51=816, Resulting Numbers: [816]
816,54 unequal: No Solution
Exploring Operation: 16+51=67, Resulting Numbers: [67]
67,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[29, 64], Operations: ['87-58=29', '80-16=64']
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,54 unequal: No Solution
Exploring Operation: 29*64=1856, Resulting Numbers: [1856]
1856,54 unequal: No Solution
Exploring Operation: 29+64=93, Resulting Numbers: [93]
93,54 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
Current State: 54:[58, 87, 5], Operations: ['80/16=5']
Exploring Operation: 87-58=29, Resulting Numbers: [5, 29]
Generated Node #0,1,0: 54:[5, 29] Operation: 87-58=29
Exploring Operation: 87-5=82, Resulting Numbers: [58, 82]
Generated Node #0,1,1: 54:[58, 82] Operation: 87-5=82
Exploring Operation: 58-5=53, Resulting Numbers: [87, 53]
Generated Node #0,1,2: 54:[87, 53] Operation: 58-5=53
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 54:[5, 29], Operations: ['80/16=5', '87-58=29']
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 5*29=145, Resulting Numbers: [145]
145,54 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:[58, 82], Operations: ['80/16=5', '87-5=82']
Exploring Operation: 58+82=140, Resulting Numbers: [140]
140,54 unequal: No Solution
Exploring Operation: 82-58=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 58*82=4756, Resulting Numbers: [4756]
4756,54 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:[87, 53], Operations: ['80/16=5', '58-5=53']
Exploring Operation: 87*53=4611, Resulting Numbers: [4611]
4611,54 unequal: No Solution
Exploring Operation: 87-53=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 87+53=140, Resulting Numbers: [140]
140,54 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_3 | mult_heuristic |
[
62,
70,
29,
72
] | 66 | [
"62-29=33",
"72-70=2",
"33*2=66"
] | Current State: 66:[62, 70, 29, 72], Operations: []
Exploring Operation: 62-29=33, Resulting Numbers: [70, 72, 33]
Generated Node #2: [70, 72, 33] from Operation: 62-29=33
Current State: 66:[70, 72, 33], Operations: ['62-29=33']
Exploring Operation: 72-70=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 72-70=2
Current State: 66:[33, 2], Operations: ['62-29=33', '72-70=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[62, 70, 29, 72], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [62, 29, 2]
Generated Node #0,0: 66:[62, 29, 2] Operation: 72-70=2
Exploring Operation: 72-62=10, Resulting Numbers: [70, 29, 10]
Generated Node #0,1: 66:[70, 29, 10] Operation: 72-62=10
Exploring Operation: 70-29=41, Resulting Numbers: [62, 72, 41]
Generated Node #0,2: 66:[62, 72, 41] Operation: 70-29=41
Exploring Operation: 62-29=33, Resulting Numbers: [70, 72, 33]
Generated Node #0,3: 66:[70, 72, 33] Operation: 62-29=33
Exploring Operation: 70-62=8, Resulting Numbers: [29, 72, 8]
Generated Node #0,4: 66:[29, 72, 8] Operation: 70-62=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[62, 29, 2], Operations: ['72-70=2']
Exploring Operation: 62+2=64, Resulting Numbers: [29, 64]
Generated Node #0,0,0: 66:[29, 64] Operation: 62+2=64
Exploring Operation: 62-29=33, Resulting Numbers: [2, 33]
Generated Node #0,0,1: 66:[2, 33] Operation: 62-29=33
Exploring Operation: 29-2=27, Resulting Numbers: [62, 27]
Generated Node #0,0,2: 66:[62, 27] Operation: 29-2=27
Exploring Operation: 29+2=31, Resulting Numbers: [62, 31]
Generated Node #0,0,3: 66:[62, 31] Operation: 29+2=31
Exploring Operation: 62/2=31, Resulting Numbers: [29, 31]
Generated Node #0,0,4: 66:[29, 31] Operation: 62/2=31
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[2, 33], Operations: ['72-70=2', '62-29=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[62, 70, 29, 72], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [62, 29, 2]
Generated Node #0,0: 66:[62, 29, 2] Operation: 72-70=2
Moving to Node #0,0
Current State: 66:[62, 29, 2], Operations: ['72-70=2']
Exploring Operation: 62-29=33, Resulting Numbers: [2, 33]
Generated Node #0,0,1: 66:[2, 33] Operation: 62-29=33
Moving to Node #0,0,1
Current State: 66:[2, 33], Operations: ['72-70=2', '62-29=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
91,
12,
4,
1
] | 95 | [
"91+1=92",
"12/4=3",
"92+3=95"
] | Current State: 95:[91, 12, 4, 1], Operations: []
Exploring Operation: 91+1=92, Resulting Numbers: [12, 4, 92]
Generated Node #2: [12, 4, 92] from Operation: 91+1=92
Current State: 95:[12, 4, 92], Operations: ['91+1=92']
Exploring Operation: 12/4=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 12/4=3
Current State: 95:[92, 3], Operations: ['91+1=92', '12/4=3']
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[91, 12, 4, 1], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [91, 1, 3]
Generated Node #0,0: 95:[91, 1, 3] Operation: 12/4=3
Exploring Operation: 91+4=95, Resulting Numbers: [12, 1, 95]
Generated Node #0,1: 95:[12, 1, 95] Operation: 91+4=95
Moving to Node #0,0
Current State: 95:[91, 1, 3], Operations: ['12/4=3']
Exploring Operation: 91+1=92, Resulting Numbers: [3, 92]
Generated Node #0,0,0: 95:[3, 92] Operation: 91+1=92
Exploring Operation: 91+3=94, Resulting Numbers: [1, 94]
Generated Node #0,0,1: 95:[1, 94] Operation: 91+3=94
Moving to Node #0,1
Current State: 95:[12, 1, 95], Operations: ['91+4=95']
Exploring Operation: 12-1=11, Resulting Numbers: [95, 11]
Generated Node #0,1,0: 95:[95, 11] Operation: 12-1=11
Exploring Operation: 12+1=13, Resulting Numbers: [95, 13]
Generated Node #0,1,1: 95:[95, 13] Operation: 12+1=13
Moving to Node #0,0,0
Current State: 95:[3, 92], Operations: ['12/4=3', '91+1=92']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,95 unequal: No Solution
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[91, 12, 4, 1], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [91, 1, 3]
Generated Node #0,0: 95:[91, 1, 3] Operation: 12/4=3
Moving to Node #0,0
Current State: 95:[91, 1, 3], Operations: ['12/4=3']
Exploring Operation: 91+1=92, Resulting Numbers: [3, 92]
Generated Node #0,0,0: 95:[3, 92] Operation: 91+1=92
Moving to Node #0,0,0
Current State: 95:[3, 92], Operations: ['12/4=3', '91+1=92']
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
5,
56,
49,
2
] | 72 | [
"49-5=44",
"56/2=28",
"44+28=72"
] | Current State: 72:[5, 56, 49, 2], Operations: []
Exploring Operation: 49-5=44, Resulting Numbers: [56, 2, 44]
Generated Node #2: [56, 2, 44] from Operation: 49-5=44
Current State: 72:[56, 2, 44], Operations: ['49-5=44']
Exploring Operation: 56/2=28, Resulting Numbers: [44, 28]
Generated Node #3: [44, 28] from Operation: 56/2=28
Current State: 72:[44, 28], Operations: ['49-5=44', '56/2=28']
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[5, 56, 49, 2], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [5, 2, 7]
Generated Node #0,0: 72:[5, 2, 7] Operation: 56-49=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[5, 2, 7], Operations: ['56-49=7']
Exploring Operation: 5+7=12, Resulting Numbers: [2, 12]
Generated Node #0,0,0: 72:[2, 12] Operation: 5+7=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[2, 12], Operations: ['56-49=7', '5+7=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,72 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 |
[
2,
12,
2,
86
] | 66 | [
"12-2=10",
"2*10=20",
"86-20=66"
] | Current State: 66:[2, 12, 2, 86], Operations: []
Exploring Operation: 12-2=10, Resulting Numbers: [86, 10]
Generated Node #2: [86, 10] from Operation: 12-2=10
Current State: 66:[86, 10], Operations: ['12-2=10']
Exploring Operation: 2*10=20, Resulting Numbers: [86, 20]
Generated Node #3: [86, 20] from Operation: 2*10=20
Current State: 66:[86, 20], Operations: ['12-2=10', '2*10=20']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[2, 12, 2, 86], Operations: []
Exploring Operation: 86/2=43, Resulting Numbers: [12, 2, 43]
Generated Node #0,0: 66:[12, 2, 43] Operation: 86/2=43
Exploring Operation: 86-12=74, Resulting Numbers: [2, 2, 74]
Generated Node #0,1: 66:[2, 2, 74] Operation: 86-12=74
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[2, 2, 74], Operations: ['86-12=74']
Exploring Operation: 74/2=37, Resulting Numbers: [2, 37]
Generated Node #0,1,0: 66:[2, 37] Operation: 74/2=37
Exploring Operation: 74/2=37, Resulting Numbers: [2, 37]
Generated Node #0,1,1: 66:[2, 37] Operation: 74/2=37
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 66:[2, 37], Operations: ['86-12=74', '74/2=37']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,66 unequal: No Solution
No 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: 66:[2, 37], Operations: ['86-12=74', '74/2=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,66 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,66 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: 66:[12, 2, 43], Operations: ['86/2=43']
Exploring Operation: 43-2=41, Resulting Numbers: [12, 41]
Generated Node #0,0,0: 66:[12, 41] Operation: 43-2=41
Exploring Operation: 43-12=31, Resulting Numbers: [2, 31]
Generated Node #0,0,1: 66:[2, 31] Operation: 43-12=31
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[2, 31], Operations: ['86/2=43', '43-12=31']
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,66 unequal: No Solution
No 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: 66:[12, 41], Operations: ['86/2=43', '43-2=41']
Exploring Operation: 12+41=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,66 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 |
[
60,
2,
92,
81
] | 53 | [
"60*2=120",
"92+81=173",
"173-120=53"
] | Current State: 53:[60, 2, 92, 81], Operations: []
Exploring Operation: 60*2=120, Resulting Numbers: [92, 81, 120]
Generated Node #2: [92, 81, 120] from Operation: 60*2=120
Current State: 53:[92, 81, 120], Operations: ['60*2=120']
Exploring Operation: 92+81=173, Resulting Numbers: [120, 173]
Generated Node #3: [120, 173] from Operation: 92+81=173
Current State: 53:[120, 173], Operations: ['60*2=120', '92+81=173']
Exploring Operation: 173-120=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[60, 2, 92, 81], Operations: []
Exploring Operation: 60-2=58, Resulting Numbers: [92, 81, 58]
Generated Node #0,0: 53:[92, 81, 58] Operation: 60-2=58
Exploring Operation: 92/2=46, Resulting Numbers: [60, 81, 46]
Generated Node #0,1: 53:[60, 81, 46] Operation: 92/2=46
Exploring Operation: 92-2=90, Resulting Numbers: [60, 81, 90]
Generated Node #0,2: 53:[60, 81, 90] Operation: 92-2=90
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[60, 81, 46], Operations: ['92/2=46']
Exploring Operation: 60-46=14, Resulting Numbers: [81, 14]
Generated Node #0,1,0: 53:[81, 14] Operation: 60-46=14
Exploring Operation: 81-46=35, Resulting Numbers: [60, 35]
Generated Node #0,1,1: 53:[60, 35] Operation: 81-46=35
Exploring Operation: 81-60=21, Resulting Numbers: [46, 21]
Generated Node #0,1,2: 53:[46, 21] Operation: 81-60=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 53:[60, 35], Operations: ['92/2=46', '81-46=35']
Exploring Operation: 60-35=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 60*35=2100, Resulting Numbers: [2100]
2100,53 unequal: No Solution
Exploring Operation: 60+35=95, Resulting Numbers: [95]
95,53 unequal: No Solution
No 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: 53:[46, 21], Operations: ['92/2=46', '81-60=21']
Exploring Operation: 46*21=966, Resulting Numbers: [966]
966,53 unequal: No Solution
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 46+21=67, Resulting Numbers: [67]
67,53 unequal: No Solution
No 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: 53:[81, 14], Operations: ['92/2=46', '60-46=14']
Exploring Operation: 81+14=95, Resulting Numbers: [95]
95,53 unequal: No Solution
Exploring Operation: 81*14=1134, Resulting Numbers: [1134]
1134,53 unequal: No Solution
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[92, 81, 58], Operations: ['60-2=58']
Exploring Operation: 81-58=23, Resulting Numbers: [92, 23]
Generated Node #0,0,0: 53:[92, 23] Operation: 81-58=23
Exploring Operation: 92-81=11, Resulting Numbers: [58, 11]
Generated Node #0,0,1: 53:[58, 11] Operation: 92-81=11
Exploring Operation: 92-58=34, Resulting Numbers: [81, 34]
Generated Node #0,0,2: 53:[81, 34] Operation: 92-58=34
Moving to Node #0,0,1
Current State: 53:[58, 11], Operations: ['60-2=58', '92-81=11']
Exploring Operation: 58+11=69, Resulting Numbers: [69]
69,53 unequal: No Solution
Exploring Operation: 58*11=638, Resulting Numbers: [638]
638,53 unequal: No Solution
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[81, 34], Operations: ['60-2=58', '92-58=34']
Exploring Operation: 81+34=115, Resulting Numbers: [115]
115,53 unequal: No Solution
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,53 unequal: No Solution
Exploring Operation: 81*34=2754, Resulting Numbers: [2754]
2754,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[92, 23], Operations: ['60-2=58', '81-58=23']
Exploring Operation: 92/23=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 92-23=69, Resulting Numbers: [69]
69,53 unequal: No Solution
Exploring Operation: 92+23=115, Resulting Numbers: [115]
115,53 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 #0,2
Current State: 53:[60, 81, 90], Operations: ['92-2=90']
Exploring Operation: 90-60=30, Resulting Numbers: [81, 30]
Generated Node #0,2,0: 53:[81, 30] Operation: 90-60=30
Exploring Operation: 90-81=9, Resulting Numbers: [60, 9]
Generated Node #0,2,1: 53:[60, 9] Operation: 90-81=9
Exploring Operation: 81-60=21, Resulting Numbers: [90, 21]
Generated Node #0,2,2: 53:[90, 21] Operation: 81-60=21
Moving to Node #0,2,0
Current State: 53:[81, 30], Operations: ['92-2=90', '90-60=30']
Exploring Operation: 81+30=111, Resulting Numbers: [111]
111,53 unequal: No Solution
Exploring Operation: 81-30=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Exploring Operation: 81*30=2430, Resulting Numbers: [2430]
2430,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[60, 9], Operations: ['92-2=90', '90-81=9']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Exploring Operation: 60*9=540, Resulting Numbers: [540]
540,53 unequal: No Solution
Exploring Operation: 60+9=69, Resulting Numbers: [69]
69,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[90, 21], Operations: ['92-2=90', '81-60=21']
Exploring Operation: 90-21=69, Resulting Numbers: [69]
69,53 unequal: No Solution
Exploring Operation: 90+21=111, Resulting Numbers: [111]
111,53 unequal: No Solution
Exploring Operation: 90*21=1890, Resulting Numbers: [1890]
1890,53 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 |
[
24,
40,
12,
38
] | 38 | [
"24+40=64",
"38-12=26",
"64-26=38"
] | Current State: 38:[24, 40, 12, 38], Operations: []
Exploring Operation: 24+40=64, Resulting Numbers: [12, 38, 64]
Generated Node #2: [12, 38, 64] from Operation: 24+40=64
Current State: 38:[12, 38, 64], Operations: ['24+40=64']
Exploring Operation: 38-12=26, Resulting Numbers: [64, 26]
Generated Node #3: [64, 26] from Operation: 38-12=26
Current State: 38:[64, 26], Operations: ['24+40=64', '38-12=26']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[24, 40, 12, 38], Operations: []
Exploring Operation: 24+12=36, Resulting Numbers: [40, 38, 36]
Generated Node #0,0: 38:[40, 38, 36] Operation: 24+12=36
Exploring Operation: 24-12=12, Resulting Numbers: [40, 38, 12]
Generated Node #0,1: 38:[40, 38, 12] Operation: 24-12=12
Exploring Operation: 40-24=16, Resulting Numbers: [12, 38, 16]
Generated Node #0,2: 38:[12, 38, 16] Operation: 40-24=16
Exploring Operation: 24/12=2, Resulting Numbers: [40, 38, 2]
Generated Node #0,3: 38:[40, 38, 2] Operation: 24/12=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[40, 38, 2], Operations: ['24/12=2']
Exploring Operation: 38/2=19, Resulting Numbers: [40, 19]
Generated Node #0,3,0: 38:[40, 19] Operation: 38/2=19
Exploring Operation: 40-38=2, Resulting Numbers: [2, 2]
Generated Node #0,3,1: 38:[2, 2] Operation: 40-38=2
Exploring Operation: 40/2=20, Resulting Numbers: [38, 20]
Generated Node #0,3,2: 38:[38, 20] Operation: 40/2=20
Exploring Operation: 40-2=38, Resulting Numbers: [38, 38]
Generated Node #0,3,3: 38:[38, 38] Operation: 40-2=38
Moving to Node #0,3,1
Current State: 38:[2, 2], Operations: ['24/12=2', '40-38=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,38 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Moving to Node #0,3,3
Current State: 38:[38, 38], Operations: ['24/12=2', '40-2=38']
Exploring Operation: 38/38=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 38*38=1444, Resulting Numbers: [1444]
1444,38 unequal: No Solution
Exploring Operation: 38-38=0, Resulting Numbers: [0]
0,38 unequal: No Solution
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,38 unequal: No Solution
Moving to Node #0,3,2
Current State: 38:[38, 20], Operations: ['24/12=2', '40/2=20']
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,38 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Moving to Node #0,3,0
Current State: 38:[40, 19], Operations: ['24/12=2', '38/2=19']
Exploring Operation: 40*19=760, Resulting Numbers: [760]
760,38 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,38 unequal: No Solution
No 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: 38:[40, 38, 36], Operations: ['24+12=36']
Exploring Operation: 38-36=2, Resulting Numbers: [40, 2]
Generated Node #0,0,0: 38:[40, 2] Operation: 38-36=2
Exploring Operation: 40-38=2, Resulting Numbers: [36, 2]
Generated Node #0,0,1: 38:[36, 2] Operation: 40-38=2
Exploring Operation: 40+36=76, Resulting Numbers: [38, 76]
Generated Node #0,0,2: 38:[38, 76] Operation: 40+36=76
Exploring Operation: 40-36=4, Resulting Numbers: [38, 4]
Generated Node #0,0,3: 38:[38, 4] Operation: 40-36=4
Moving to Node #0,0,0
Current State: 38:[40, 2], Operations: ['24+12=36', '38-36=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,38 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[24, 40, 12, 38], Operations: []
Exploring Operation: 24+12=36, Resulting Numbers: [40, 38, 36]
Generated Node #0,0: 38:[40, 38, 36] Operation: 24+12=36
Moving to Node #0,0
Current State: 38:[40, 38, 36], Operations: ['24+12=36']
Exploring Operation: 38-36=2, Resulting Numbers: [40, 2]
Generated Node #0,0,0: 38:[40, 2] Operation: 38-36=2
Moving to Node #0,0,0
Current State: 38:[40, 2], Operations: ['24+12=36', '38-36=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | mult_heuristic |
[
84,
48,
11,
46
] | 97 | [
"84+48=132",
"46-11=35",
"132-35=97"
] | Current State: 97:[84, 48, 11, 46], Operations: []
Exploring Operation: 84+48=132, Resulting Numbers: [11, 46, 132]
Generated Node #2: [11, 46, 132] from Operation: 84+48=132
Current State: 97:[11, 46, 132], Operations: ['84+48=132']
Exploring Operation: 46-11=35, Resulting Numbers: [132, 35]
Generated Node #3: [132, 35] from Operation: 46-11=35
Current State: 97:[132, 35], Operations: ['84+48=132', '46-11=35']
Exploring Operation: 132-35=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[84, 48, 11, 46], Operations: []
Exploring Operation: 48+11=59, Resulting Numbers: [84, 46, 59]
Generated Node #0,0: 97:[84, 46, 59] Operation: 48+11=59
Exploring Operation: 11+46=57, Resulting Numbers: [84, 48, 57]
Generated Node #0,1: 97:[84, 48, 57] Operation: 11+46=57
Exploring Operation: 84+11=95, Resulting Numbers: [48, 46, 95]
Generated Node #0,2: 97:[48, 46, 95] Operation: 84+11=95
Exploring Operation: 84-11=73, Resulting Numbers: [48, 46, 73]
Generated Node #0,3: 97:[48, 46, 73] Operation: 84-11=73
Exploring Operation: 48+46=94, Resulting Numbers: [84, 11, 94]
Generated Node #0,4: 97:[84, 11, 94] Operation: 48+46=94
Moving to Node #0,0
Current State: 97:[84, 46, 59], Operations: ['48+11=59']
Exploring Operation: 59-46=13, Resulting Numbers: [84, 13]
Generated Node #0,0,0: 97:[84, 13] Operation: 59-46=13
Exploring Operation: 84+59=143, Resulting Numbers: [46, 143]
Generated Node #0,0,1: 97:[46, 143] Operation: 84+59=143
Exploring Operation: 84+46=130, Resulting Numbers: [59, 130]
Generated Node #0,0,2: 97:[59, 130] Operation: 84+46=130
Exploring Operation: 84-46=38, Resulting Numbers: [59, 38]
Generated Node #0,0,3: 97:[59, 38] Operation: 84-46=38
Exploring Operation: 46+59=105, Resulting Numbers: [84, 105]
Generated Node #0,0,4: 97:[84, 105] Operation: 46+59=105
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 97:[84, 105], Operations: ['48+11=59', '46+59=105']
Exploring Operation: 84*105=8820, Resulting Numbers: [8820]
8820,97 unequal: No Solution
Exploring Operation: 84+105=189, Resulting Numbers: [189]
189,97 unequal: No Solution
Exploring Operation: 105-84=21, Resulting Numbers: [21]
21,97 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 #0,0,2
Current State: 97:[59, 130], Operations: ['48+11=59', '84+46=130']
Exploring Operation: 59+130=189, Resulting Numbers: [189]
189,97 unequal: No Solution
Exploring Operation: 130-59=71, Resulting Numbers: [71]
71,97 unequal: No Solution
Exploring Operation: 59*130=7670, Resulting Numbers: [7670]
7670,97 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 #0,0,0
Current State: 97:[84, 13], Operations: ['48+11=59', '59-46=13']
Exploring Operation: 84*13=1092, Resulting Numbers: [1092]
1092,97 unequal: No Solution
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,97 unequal: No Solution
Exploring Operation: 84+13=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[84, 48, 11, 46], Operations: []
Exploring Operation: 48+11=59, Resulting Numbers: [84, 46, 59]
Generated Node #0,0: 97:[84, 46, 59] Operation: 48+11=59
Moving to Node #0,0
Current State: 97:[84, 46, 59], Operations: ['48+11=59']
Exploring Operation: 59-46=13, Resulting Numbers: [84, 13]
Generated Node #0,0,0: 97:[84, 13] Operation: 59-46=13
Moving to Node #0,0,0
Current State: 97:[84, 13], Operations: ['48+11=59', '59-46=13']
Exploring Operation: 84+13=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
83,
7,
82,
41
] | 47 | [
"83-7=76",
"82+41=123",
"123-76=47"
] | Current State: 47:[83, 7, 82, 41], Operations: []
Exploring Operation: 83-7=76, Resulting Numbers: [82, 41, 76]
Generated Node #2: [82, 41, 76] from Operation: 83-7=76
Current State: 47:[82, 41, 76], Operations: ['83-7=76']
Exploring Operation: 82+41=123, Resulting Numbers: [76, 123]
Generated Node #3: [76, 123] from Operation: 82+41=123
Current State: 47:[76, 123], Operations: ['83-7=76', '82+41=123']
Exploring Operation: 123-76=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[83, 7, 82, 41], Operations: []
Exploring Operation: 7+41=48, Resulting Numbers: [83, 82, 48]
Generated Node #0,0: 47:[83, 82, 48] Operation: 7+41=48
Exploring Operation: 82-7=75, Resulting Numbers: [83, 41, 75]
Generated Node #0,1: 47:[83, 41, 75] Operation: 82-7=75
Exploring Operation: 82-41=41, Resulting Numbers: [83, 7, 41]
Generated Node #0,2: 47:[83, 7, 41] Operation: 82-41=41
Exploring Operation: 83-41=42, Resulting Numbers: [7, 82, 42]
Generated Node #0,3: 47:[7, 82, 42] Operation: 83-41=42
Exploring Operation: 83-7=76, Resulting Numbers: [82, 41, 76]
Generated Node #0,4: 47:[82, 41, 76] Operation: 83-7=76
Moving to Node #0,1
Current State: 47:[83, 41, 75], Operations: ['82-7=75']
Exploring Operation: 83-41=42, Resulting Numbers: [75, 42]
Generated Node #0,1,0: 47:[75, 42] Operation: 83-41=42
Exploring Operation: 83-75=8, Resulting Numbers: [41, 8]
Generated Node #0,1,1: 47:[41, 8] Operation: 83-75=8
Exploring Operation: 83+41=124, Resulting Numbers: [75, 124]
Generated Node #0,1,2: 47:[75, 124] Operation: 83+41=124
Exploring Operation: 41+75=116, Resulting Numbers: [83, 116]
Generated Node #0,1,3: 47:[83, 116] Operation: 41+75=116
Exploring Operation: 75-41=34, Resulting Numbers: [83, 34]
Generated Node #0,1,4: 47:[83, 34] Operation: 75-41=34
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[75, 42], Operations: ['82-7=75', '83-41=42']
Exploring Operation: 75+42=117, Resulting Numbers: [117]
117,47 unequal: No Solution
Exploring Operation: 75*42=3150, Resulting Numbers: [3150]
3150,47 unequal: No Solution
Exploring Operation: 75-42=33, Resulting Numbers: [33]
33,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[41, 8], Operations: ['82-7=75', '83-75=8']
Exploring Operation: 41*8=328, Resulting Numbers: [328]
328,47 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,47 unequal: No Solution
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,47 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 #0,1,4
Current State: 47:[83, 34], Operations: ['82-7=75', '75-41=34']
Exploring Operation: 83+34=117, Resulting Numbers: [117]
117,47 unequal: No Solution
Exploring Operation: 83-34=49, Resulting Numbers: [49]
49,47 unequal: No Solution
Exploring Operation: 83*34=2822, Resulting Numbers: [2822]
2822,47 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:[75, 124], Operations: ['82-7=75', '83+41=124']
Exploring Operation: 75+124=199, Resulting Numbers: [199]
199,47 unequal: No Solution
Exploring Operation: 75*124=9300, Resulting Numbers: [9300]
9300,47 unequal: No Solution
Exploring Operation: 124-75=49, Resulting Numbers: [49]
49,47 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 #0,1,3
Current State: 47:[83, 116], Operations: ['82-7=75', '41+75=116']
Exploring Operation: 83*116=9628, Resulting Numbers: [9628]
9628,47 unequal: No Solution
Exploring Operation: 116-83=33, Resulting Numbers: [33]
33,47 unequal: No Solution
Exploring Operation: 83+116=199, Resulting Numbers: [199]
199,47 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: 47:[82, 41, 76], Operations: ['83-7=76']
Exploring Operation: 76-41=35, Resulting Numbers: [82, 35]
Generated Node #0,4,0: 47:[82, 35] Operation: 76-41=35
Exploring Operation: 82-41=41, Resulting Numbers: [76, 41]
Generated Node #0,4,1: 47:[76, 41] Operation: 82-41=41
Exploring Operation: 82/41=2, Resulting Numbers: [76, 2]
Generated Node #0,4,2: 47:[76, 2] Operation: 82/41=2
Exploring Operation: 82-76=6, Resulting Numbers: [41, 6]
Generated Node #0,4,3: 47:[41, 6] Operation: 82-76=6
Exploring Operation: 82+41=123, Resulting Numbers: [76, 123]
Generated Node #0,4,4: 47:[76, 123] Operation: 82+41=123
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 47:[76, 41], Operations: ['83-7=76', '82-41=41']
Exploring Operation: 76*41=3116, Resulting Numbers: [3116]
3116,47 unequal: No Solution
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 76+41=117, Resulting Numbers: [117]
117,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 47:[82, 35], Operations: ['83-7=76', '76-41=35']
Exploring Operation: 82+35=117, Resulting Numbers: [117]
117,47 unequal: No Solution
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[83, 7, 82, 41], Operations: []
Exploring Operation: 83-7=76, Resulting Numbers: [82, 41, 76]
Generated Node #0,4: 47:[82, 41, 76] Operation: 83-7=76
Moving to Node #0,4
Current State: 47:[82, 41, 76], Operations: ['83-7=76']
Exploring Operation: 76-41=35, Resulting Numbers: [82, 35]
Generated Node #0,4,0: 47:[82, 35] Operation: 76-41=35
Moving to Node #0,4,0
Current State: 47:[82, 35], Operations: ['83-7=76', '76-41=35']
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | sum_heuristic |
[
89,
40,
84,
71
] | 79 | [
"89-84=5",
"40/5=8",
"71+8=79"
] | Current State: 79:[89, 40, 84, 71], Operations: []
Exploring Operation: 89-84=5, Resulting Numbers: [40, 71, 5]
Generated Node #2: [40, 71, 5] from Operation: 89-84=5
Current State: 79:[40, 71, 5], Operations: ['89-84=5']
Exploring Operation: 40/5=8, Resulting Numbers: [71, 8]
Generated Node #3: [71, 8] from Operation: 40/5=8
Current State: 79:[71, 8], Operations: ['89-84=5', '40/5=8']
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[89, 40, 84, 71], Operations: []
Exploring Operation: 84-40=44, Resulting Numbers: [89, 71, 44]
Generated Node #0,0: 79:[89, 71, 44] Operation: 84-40=44
Exploring Operation: 40+71=111, Resulting Numbers: [89, 84, 111]
Generated Node #0,1: 79:[89, 84, 111] Operation: 40+71=111
Exploring Operation: 89-40=49, Resulting Numbers: [84, 71, 49]
Generated Node #0,2: 79:[84, 71, 49] Operation: 89-40=49
Moving to Node #0,2
Current State: 79:[84, 71, 49], Operations: ['89-40=49']
Exploring Operation: 84+49=133, Resulting Numbers: [71, 133]
Generated Node #0,2,0: 79:[71, 133] Operation: 84+49=133
Exploring Operation: 84-49=35, Resulting Numbers: [71, 35]
Generated Node #0,2,1: 79:[71, 35] Operation: 84-49=35
Exploring Operation: 71+49=120, Resulting Numbers: [84, 120]
Generated Node #0,2,2: 79:[84, 120] Operation: 71+49=120
Moving to Node #0,1
Current State: 79:[89, 84, 111], Operations: ['40+71=111']
Exploring Operation: 111-89=22, Resulting Numbers: [84, 22]
Generated Node #0,1,0: 79:[84, 22] Operation: 111-89=22
Exploring Operation: 89-84=5, Resulting Numbers: [111, 5]
Generated Node #0,1,1: 79:[111, 5] Operation: 89-84=5
Exploring Operation: 111-84=27, Resulting Numbers: [89, 27]
Generated Node #0,1,2: 79:[89, 27] Operation: 111-84=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[84, 22], Operations: ['40+71=111', '111-89=22']
Exploring Operation: 84+22=106, Resulting Numbers: [106]
106,79 unequal: No Solution
Exploring Operation: 84*22=1848, Resulting Numbers: [1848]
1848,79 unequal: No Solution
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[89, 27], Operations: ['40+71=111', '111-84=27']
Exploring Operation: 89+27=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 89*27=2403, Resulting Numbers: [2403]
2403,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[111, 5], Operations: ['40+71=111', '89-84=5']
Exploring Operation: 111+5=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 111-5=106, Resulting Numbers: [106]
106,79 unequal: No Solution
Exploring Operation: 111*5=555, Resulting Numbers: [555]
555,79 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: 79:[89, 71, 44], Operations: ['84-40=44']
Exploring Operation: 71+44=115, Resulting Numbers: [89, 115]
Generated Node #0,0,0: 79:[89, 115] Operation: 71+44=115
Exploring Operation: 89+44=133, Resulting Numbers: [71, 133]
Generated Node #0,0,1: 79:[71, 133] Operation: 89+44=133
Exploring Operation: 89-44=45, Resulting Numbers: [71, 45]
Generated Node #0,0,2: 79:[71, 45] Operation: 89-44=45
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[71, 45], Operations: ['84-40=44', '89-44=45']
Exploring Operation: 71+45=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 71-45=26, Resulting Numbers: [26]
26,79 unequal: No Solution
Exploring Operation: 71*45=3195, Resulting Numbers: [3195]
3195,79 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 #0,0,0
Current State: 79:[89, 115], Operations: ['84-40=44', '71+44=115']
Exploring Operation: 115-89=26, Resulting Numbers: [26]
26,79 unequal: No Solution
Exploring Operation: 89*115=10235, Resulting Numbers: [10235]
10235,79 unequal: No Solution
Exploring Operation: 89+115=204, Resulting Numbers: [204]
204,79 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:[71, 133], Operations: ['84-40=44', '89+44=133']
Exploring Operation: 71*133=9443, Resulting Numbers: [9443]
9443,79 unequal: No Solution
Exploring Operation: 133-71=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 71+133=204, Resulting Numbers: [204]
204,79 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: 79:[84, 120], Operations: ['89-40=49', '71+49=120']
Exploring Operation: 84*120=10080, Resulting Numbers: [10080]
10080,79 unequal: No Solution
Exploring Operation: 84+120=204, Resulting Numbers: [204]
204,79 unequal: No Solution
Exploring Operation: 120-84=36, Resulting Numbers: [36]
36,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[71, 35], Operations: ['89-40=49', '84-49=35']
Exploring Operation: 71*35=2485, Resulting Numbers: [2485]
2485,79 unequal: No Solution
Exploring Operation: 71+35=106, Resulting Numbers: [106]
106,79 unequal: No Solution
Exploring Operation: 71-35=36, Resulting Numbers: [36]
36,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[71, 133], Operations: ['89-40=49', '84+49=133']
Exploring Operation: 71*133=9443, Resulting Numbers: [9443]
9443,79 unequal: No Solution
Exploring Operation: 133-71=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 71+133=204, Resulting Numbers: [204]
204,79 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
93,
51,
26,
91
] | 23 | [
"93-51=42",
"91-26=65",
"65-42=23"
] | Current State: 23:[93, 51, 26, 91], Operations: []
Exploring Operation: 93-51=42, Resulting Numbers: [26, 91, 42]
Generated Node #2: [26, 91, 42] from Operation: 93-51=42
Current State: 23:[26, 91, 42], Operations: ['93-51=42']
Exploring Operation: 91-26=65, Resulting Numbers: [42, 65]
Generated Node #3: [42, 65] from Operation: 91-26=65
Current State: 23:[42, 65], Operations: ['93-51=42', '91-26=65']
Exploring Operation: 65-42=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[93, 51, 26, 91], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [51, 26, 2]
Generated Node #0,0: 23:[51, 26, 2] Operation: 93-91=2
Exploring Operation: 91-51=40, Resulting Numbers: [93, 26, 40]
Generated Node #0,1: 23:[93, 26, 40] Operation: 91-51=40
Exploring Operation: 93-51=42, Resulting Numbers: [26, 91, 42]
Generated Node #0,2: 23:[26, 91, 42] Operation: 93-51=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[51, 26, 2], Operations: ['93-91=2']
Exploring Operation: 51-26=25, Resulting Numbers: [2, 25]
Generated Node #0,0,0: 23:[2, 25] Operation: 51-26=25
Exploring Operation: 26-2=24, Resulting Numbers: [51, 24]
Generated Node #0,0,1: 23:[51, 24] Operation: 26-2=24
Exploring Operation: 51-2=49, Resulting Numbers: [26, 49]
Generated Node #0,0,2: 23:[26, 49] Operation: 51-2=49
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 23:[2, 25], Operations: ['93-91=2', '51-26=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[93, 51, 26, 91], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [51, 26, 2]
Generated Node #0,0: 23:[51, 26, 2] Operation: 93-91=2
Moving to Node #0,0
Current State: 23:[51, 26, 2], Operations: ['93-91=2']
Exploring Operation: 51-26=25, Resulting Numbers: [2, 25]
Generated Node #0,0,0: 23:[2, 25] Operation: 51-26=25
Moving to Node #0,0,0
Current State: 23:[2, 25], Operations: ['93-91=2', '51-26=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
87,
13,
83,
8
] | 94 | [
"83+8=91",
"91/13=7",
"87+7=94"
] | Current State: 94:[87, 13, 83, 8], Operations: []
Exploring Operation: 83+8=91, Resulting Numbers: [87, 13, 91]
Generated Node #2: [87, 13, 91] from Operation: 83+8=91
Current State: 94:[87, 13, 91], Operations: ['83+8=91']
Exploring Operation: 91/13=7, Resulting Numbers: [87, 7]
Generated Node #3: [87, 7] from Operation: 91/13=7
Current State: 94:[87, 7], Operations: ['83+8=91', '91/13=7']
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[87, 13, 83, 8], Operations: []
Exploring Operation: 13+83=96, Resulting Numbers: [87, 8, 96]
Generated Node #0,0: 94:[87, 8, 96] Operation: 13+83=96
Exploring Operation: 87-83=4, Resulting Numbers: [13, 8, 4]
Generated Node #0,1: 94:[13, 8, 4] Operation: 87-83=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[87, 8, 96], Operations: ['13+83=96']
Exploring Operation: 87+8=95, Resulting Numbers: [96, 95]
Generated Node #0,0,0: 94:[96, 95] Operation: 87+8=95
Exploring Operation: 96-87=9, Resulting Numbers: [8, 9]
Generated Node #0,0,1: 94:[8, 9] Operation: 96-87=9
Moving to Node #0,0,0
Current State: 94:[96, 95], Operations: ['13+83=96', '87+8=95']
Exploring Operation: 96-95=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 96+95=191, Resulting Numbers: [191]
191,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[8, 9], Operations: ['13+83=96', '96-87=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[13, 8, 4], Operations: ['87-83=4']
Exploring Operation: 13-8=5, Resulting Numbers: [4, 5]
Generated Node #0,1,0: 94:[4, 5] Operation: 13-8=5
Exploring Operation: 13*4=52, Resulting Numbers: [8, 52]
Generated Node #0,1,1: 94:[8, 52] Operation: 13*4=52
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[4, 5], Operations: ['87-83=4', '13-8=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 94:[8, 52], Operations: ['87-83=4', '13*4=52']
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,94 unequal: No Solution
Exploring Operation: 8+52=60, Resulting Numbers: [60]
60,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
10,
3,
80,
47
] | 39 | [
"80-10=70",
"47+70=117",
"117/3=39"
] | Current State: 39:[10, 3, 80, 47], Operations: []
Exploring Operation: 80-10=70, Resulting Numbers: [3, 47, 70]
Generated Node #2: [3, 47, 70] from Operation: 80-10=70
Current State: 39:[3, 47, 70], Operations: ['80-10=70']
Exploring Operation: 47+70=117, Resulting Numbers: [3, 117]
Generated Node #3: [3, 117] from Operation: 47+70=117
Current State: 39:[3, 117], Operations: ['80-10=70', '47+70=117']
Exploring Operation: 117/3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[10, 3, 80, 47], Operations: []
Exploring Operation: 80-47=33, Resulting Numbers: [10, 3, 33]
Generated Node #0,0: 39:[10, 3, 33] Operation: 80-47=33
Exploring Operation: 80-10=70, Resulting Numbers: [3, 47, 70]
Generated Node #0,1: 39:[3, 47, 70] Operation: 80-10=70
Exploring Operation: 80/10=8, Resulting Numbers: [3, 47, 8]
Generated Node #0,2: 39:[3, 47, 8] Operation: 80/10=8
Moving to Node #0,0
Current State: 39:[10, 3, 33], Operations: ['80-47=33']
Exploring Operation: 10+33=43, Resulting Numbers: [3, 43]
Generated Node #0,0,0: 39:[3, 43] Operation: 10+33=43
Exploring Operation: 33/3=11, Resulting Numbers: [10, 11]
Generated Node #0,0,1: 39:[10, 11] Operation: 33/3=11
Exploring Operation: 10+3=13, Resulting Numbers: [33, 13]
Generated Node #0,0,2: 39:[33, 13] Operation: 10+3=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[3, 43], Operations: ['80-47=33', '10+33=43']
Exploring Operation: 3*43=129, Resulting Numbers: [129]
129,39 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 39:[10, 11], Operations: ['80-47=33', '33/3=11']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 39:[33, 13], Operations: ['80-47=33', '10+3=13']
Exploring Operation: 33+13=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 33*13=429, Resulting Numbers: [429]
429,39 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: 39:[3, 47, 8], Operations: ['80/10=8']
Exploring Operation: 47-3=44, Resulting Numbers: [8, 44]
Generated Node #0,2,0: 39:[8, 44] Operation: 47-3=44
Exploring Operation: 47-8=39, Resulting Numbers: [3, 39]
Generated Node #0,2,1: 39:[3, 39] Operation: 47-8=39
Exploring Operation: 3+8=11, Resulting Numbers: [47, 11]
Generated Node #0,2,2: 39:[47, 11] Operation: 3+8=11
Moving to Node #0,1
Current State: 39:[3, 47, 70], Operations: ['80-10=70']
Exploring Operation: 70-3=67, Resulting Numbers: [47, 67]
Generated Node #0,1,0: 39:[47, 67] Operation: 70-3=67
Exploring Operation: 47-3=44, Resulting Numbers: [70, 44]
Generated Node #0,1,1: 39:[70, 44] Operation: 47-3=44
Exploring Operation: 70-47=23, Resulting Numbers: [3, 23]
Generated Node #0,1,2: 39:[3, 23] Operation: 70-47=23
Moving to Node #0,2,1
Current State: 39:[3, 39], Operations: ['80/10=8', '47-8=39']
Exploring Operation: 3+39=42, Resulting Numbers: [42]
42,39 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Moving to Node #0,2,2
Current State: 39:[47, 11], Operations: ['80/10=8', '3+8=11']
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Exploring Operation: 47+11=58, Resulting Numbers: [58]
58,39 unequal: No Solution
Exploring Operation: 47*11=517, Resulting Numbers: [517]
517,39 unequal: No Solution
Moving to Node #0,2,0
Current State: 39:[8, 44], Operations: ['80/10=8', '47-3=44']
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,39 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[3, 23], Operations: ['80-10=70', '70-47=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,39 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[47, 67], Operations: ['80-10=70', '70-3=67']
Exploring Operation: 47+67=114, Resulting Numbers: [114]
114,39 unequal: No Solution
Exploring Operation: 67-47=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 47*67=3149, Resulting Numbers: [3149]
3149,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[70, 44], Operations: ['80-10=70', '47-3=44']
Exploring Operation: 70*44=3080, Resulting Numbers: [3080]
3080,39 unequal: No Solution
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Exploring Operation: 70+44=114, Resulting Numbers: [114]
114,39 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
5,
92,
2,
61
] | 75 | [
"92/2=46",
"61-46=15",
"5*15=75"
] | Current State: 75:[5, 92, 2, 61], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [5, 61, 46]
Generated Node #2: [5, 61, 46] from Operation: 92/2=46
Current State: 75:[5, 61, 46], Operations: ['92/2=46']
Exploring Operation: 61-46=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 61-46=15
Current State: 75:[5, 15], Operations: ['92/2=46', '61-46=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[5, 92, 2, 61], Operations: []
Exploring Operation: 5+61=66, Resulting Numbers: [92, 2, 66]
Generated Node #0,0: 75:[92, 2, 66] Operation: 5+61=66
Exploring Operation: 92-5=87, Resulting Numbers: [2, 61, 87]
Generated Node #0,1: 75:[2, 61, 87] Operation: 92-5=87
Exploring Operation: 92-61=31, Resulting Numbers: [5, 2, 31]
Generated Node #0,2: 75:[5, 2, 31] Operation: 92-61=31
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[5, 2, 31], Operations: ['92-61=31']
Exploring Operation: 31-2=29, Resulting Numbers: [5, 29]
Generated Node #0,2,0: 75:[5, 29] Operation: 31-2=29
Exploring Operation: 5-2=3, Resulting Numbers: [31, 3]
Generated Node #0,2,1: 75:[31, 3] Operation: 5-2=3
Exploring Operation: 31-5=26, Resulting Numbers: [2, 26]
Generated Node #0,2,2: 75:[2, 26] Operation: 31-5=26
Moving to Node #0,2,2
Current State: 75:[2, 26], Operations: ['92-61=31', '31-5=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[5, 29], Operations: ['92-61=31', '31-2=29']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Exploring Operation: 5*29=145, Resulting Numbers: [145]
145,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[31, 3], Operations: ['92-61=31', '5-2=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[92, 2, 66], Operations: ['5+61=66']
Exploring Operation: 2+66=68, Resulting Numbers: [92, 68]
Generated Node #0,0,0: 75:[92, 68] Operation: 2+66=68
Exploring Operation: 92-2=90, Resulting Numbers: [66, 90]
Generated Node #0,0,1: 75:[66, 90] Operation: 92-2=90
Exploring Operation: 92-66=26, Resulting Numbers: [2, 26]
Generated Node #0,0,2: 75:[2, 26] Operation: 92-66=26
Moving to Node #0,0,2
Current State: 75:[2, 26], Operations: ['5+61=66', '92-66=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[92, 68], Operations: ['5+61=66', '2+66=68']
Exploring Operation: 92+68=160, Resulting Numbers: [160]
160,75 unequal: No Solution
Exploring Operation: 92-68=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 92*68=6256, Resulting Numbers: [6256]
6256,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[66, 90], Operations: ['5+61=66', '92-2=90']
Exploring Operation: 66+90=156, Resulting Numbers: [156]
156,75 unequal: No Solution
Exploring Operation: 90-66=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 66*90=5940, Resulting Numbers: [5940]
5940,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[2, 61, 87], Operations: ['92-5=87']
Exploring Operation: 87-2=85, Resulting Numbers: [61, 85]
Generated Node #0,1,0: 75:[61, 85] Operation: 87-2=85
Exploring Operation: 2+61=63, Resulting Numbers: [87, 63]
Generated Node #0,1,1: 75:[87, 63] Operation: 2+61=63
Exploring Operation: 87-61=26, Resulting Numbers: [2, 26]
Generated Node #0,1,2: 75:[2, 26] Operation: 87-61=26
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[2, 26], Operations: ['92-5=87', '87-61=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[61, 85], Operations: ['92-5=87', '87-2=85']
Exploring Operation: 61*85=5185, Resulting Numbers: [5185]
5185,75 unequal: No Solution
Exploring Operation: 61+85=146, Resulting Numbers: [146]
146,75 unequal: No Solution
Exploring Operation: 85-61=24, Resulting Numbers: [24]
24,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[87, 63], Operations: ['92-5=87', '2+61=63']
Exploring Operation: 87-63=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 87+63=150, Resulting Numbers: [150]
150,75 unequal: No Solution
Exploring Operation: 87*63=5481, Resulting Numbers: [5481]
5481,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
96,
25,
55,
84
] | 42 | [
"96-25=71",
"84-55=29",
"71-29=42"
] | Current State: 42:[96, 25, 55, 84], Operations: []
Exploring Operation: 96-25=71, Resulting Numbers: [55, 84, 71]
Generated Node #2: [55, 84, 71] from Operation: 96-25=71
Current State: 42:[55, 84, 71], Operations: ['96-25=71']
Exploring Operation: 84-55=29, Resulting Numbers: [71, 29]
Generated Node #3: [71, 29] from Operation: 84-55=29
Current State: 42:[71, 29], Operations: ['96-25=71', '84-55=29']
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[96, 25, 55, 84], Operations: []
Exploring Operation: 84-55=29, Resulting Numbers: [96, 25, 29]
Generated Node #0,0: 42:[96, 25, 29] Operation: 84-55=29
Exploring Operation: 96-55=41, Resulting Numbers: [25, 84, 41]
Generated Node #0,1: 42:[25, 84, 41] Operation: 96-55=41
Exploring Operation: 96-84=12, Resulting Numbers: [25, 55, 12]
Generated Node #0,2: 42:[25, 55, 12] Operation: 96-84=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[25, 55, 12], Operations: ['96-84=12']
Exploring Operation: 25-12=13, Resulting Numbers: [55, 13]
Generated Node #0,2,0: 42:[55, 13] Operation: 25-12=13
Exploring Operation: 55-12=43, Resulting Numbers: [25, 43]
Generated Node #0,2,1: 42:[25, 43] Operation: 55-12=43
Exploring Operation: 55-25=30, Resulting Numbers: [12, 30]
Generated Node #0,2,2: 42:[12, 30] Operation: 55-25=30
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 42:[25, 43], Operations: ['96-84=12', '55-12=43']
Exploring Operation: 43-25=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 25*43=1075, Resulting Numbers: [1075]
1075,42 unequal: No Solution
Exploring Operation: 25+43=68, Resulting Numbers: [68]
68,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 42:[12, 30], Operations: ['96-84=12', '55-25=30']
Exploring Operation: 12+30=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[96, 25, 55, 84], Operations: []
Exploring Operation: 96-84=12, Resulting Numbers: [25, 55, 12]
Generated Node #0,2: 42:[25, 55, 12] Operation: 96-84=12
Moving to Node #0,2
Current State: 42:[25, 55, 12], Operations: ['96-84=12']
Exploring Operation: 55-25=30, Resulting Numbers: [12, 30]
Generated Node #0,2,2: 42:[12, 30] Operation: 55-25=30
Moving to Node #0,2,2
Current State: 42:[12, 30], Operations: ['96-84=12', '55-25=30']
Exploring Operation: 12+30=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
48,
4,
57,
32
] | 37 | [
"48+4=52",
"57+32=89",
"89-52=37"
] | Current State: 37:[48, 4, 57, 32], Operations: []
Exploring Operation: 48+4=52, Resulting Numbers: [57, 32, 52]
Generated Node #2: [57, 32, 52] from Operation: 48+4=52
Current State: 37:[57, 32, 52], Operations: ['48+4=52']
Exploring Operation: 57+32=89, Resulting Numbers: [52, 89]
Generated Node #3: [52, 89] from Operation: 57+32=89
Current State: 37:[52, 89], Operations: ['48+4=52', '57+32=89']
Exploring Operation: 89-52=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[48, 4, 57, 32], Operations: []
Exploring Operation: 57-4=53, Resulting Numbers: [48, 32, 53]
Generated Node #0,0: 37:[48, 32, 53] Operation: 57-4=53
Exploring Operation: 48-4=44, Resulting Numbers: [57, 32, 44]
Generated Node #0,1: 37:[57, 32, 44] Operation: 48-4=44
Moving to Node #0,0
Current State: 37:[48, 32, 53], Operations: ['57-4=53']
Exploring Operation: 48-32=16, Resulting Numbers: [53, 16]
Generated Node #0,0,0: 37:[53, 16] Operation: 48-32=16
Exploring Operation: 53-32=21, Resulting Numbers: [48, 21]
Generated Node #0,0,1: 37:[48, 21] Operation: 53-32=21
Moving to Node #0,1
Current State: 37:[57, 32, 44], Operations: ['48-4=44']
Exploring Operation: 57-44=13, Resulting Numbers: [32, 13]
Generated Node #0,1,0: 37:[32, 13] Operation: 57-44=13
Exploring Operation: 57-32=25, Resulting Numbers: [44, 25]
Generated Node #0,1,1: 37:[44, 25] Operation: 57-32=25
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[44, 25], Operations: ['48-4=44', '57-32=25']
Exploring Operation: 44+25=69, Resulting Numbers: [69]
69,37 unequal: No Solution
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[32, 13], Operations: ['48-4=44', '57-44=13']
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,37 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,37 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: 37:[48, 21], Operations: ['57-4=53', '53-32=21']
Exploring Operation: 48+21=69, Resulting Numbers: [69]
69,37 unequal: No Solution
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[53, 16], Operations: ['57-4=53', '48-32=16']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[48, 4, 57, 32], Operations: []
Exploring Operation: 57-4=53, Resulting Numbers: [48, 32, 53]
Generated Node #0,0: 37:[48, 32, 53] Operation: 57-4=53
Moving to Node #0,0
Current State: 37:[48, 32, 53], Operations: ['57-4=53']
Exploring Operation: 48-32=16, Resulting Numbers: [53, 16]
Generated Node #0,0,0: 37:[53, 16] Operation: 48-32=16
Moving to Node #0,0,0
Current State: 37:[53, 16], Operations: ['57-4=53', '48-32=16']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 0.985243 | hs_2 | mult_heuristic |
[
72,
7,
5,
33
] | 86 | [
"72+7=79",
"5*33=165",
"165-79=86"
] | Current State: 86:[72, 7, 5, 33], Operations: []
Exploring Operation: 72+7=79, Resulting Numbers: [5, 33, 79]
Generated Node #2: [5, 33, 79] from Operation: 72+7=79
Current State: 86:[5, 33, 79], Operations: ['72+7=79']
Exploring Operation: 5*33=165, Resulting Numbers: [79, 165]
Generated Node #3: [79, 165] from Operation: 5*33=165
Current State: 86:[79, 165], Operations: ['72+7=79', '5*33=165']
Exploring Operation: 165-79=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[72, 7, 5, 33], Operations: []
Exploring Operation: 7+33=40, Resulting Numbers: [72, 5, 40]
Generated Node #0,0: 86:[72, 5, 40] Operation: 7+33=40
Exploring Operation: 72+5=77, Resulting Numbers: [7, 33, 77]
Generated Node #0,1: 86:[7, 33, 77] Operation: 72+5=77
Exploring Operation: 72-33=39, Resulting Numbers: [7, 5, 39]
Generated Node #0,2: 86:[7, 5, 39] Operation: 72-33=39
Exploring Operation: 72+7=79, Resulting Numbers: [5, 33, 79]
Generated Node #0,3: 86:[5, 33, 79] Operation: 72+7=79
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[7, 5, 39], Operations: ['72-33=39']
Exploring Operation: 7+39=46, Resulting Numbers: [5, 46]
Generated Node #0,2,0: 86:[5, 46] Operation: 7+39=46
Exploring Operation: 7*5=35, Resulting Numbers: [39, 35]
Generated Node #0,2,1: 86:[39, 35] Operation: 7*5=35
Exploring Operation: 7-5=2, Resulting Numbers: [39, 2]
Generated Node #0,2,2: 86:[39, 2] Operation: 7-5=2
Exploring Operation: 5+39=44, Resulting Numbers: [7, 44]
Generated Node #0,2,3: 86:[7, 44] Operation: 5+39=44
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 86:[39, 2], Operations: ['72-33=39', '7-5=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,86 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 86:[5, 46], Operations: ['72-33=39', '7+39=46']
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,86 unequal: No Solution
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,86 unequal: No Solution
No 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: 86:[7, 44], Operations: ['72-33=39', '5+39=44']
Exploring Operation: 7*44=308, Resulting Numbers: [308]
308,86 unequal: No Solution
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 86:[39, 35], Operations: ['72-33=39', '7*5=35']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,86 unequal: No Solution
Exploring Operation: 39*35=1365, Resulting Numbers: [1365]
1365,86 unequal: No Solution
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[72, 5, 40], Operations: ['7+33=40']
Exploring Operation: 72-40=32, Resulting Numbers: [5, 32]
Generated Node #0,0,0: 86:[5, 32] Operation: 72-40=32
Exploring Operation: 72+5=77, Resulting Numbers: [40, 77]
Generated Node #0,0,1: 86:[40, 77] Operation: 72+5=77
Exploring Operation: 40/5=8, Resulting Numbers: [72, 8]
Generated Node #0,0,2: 86:[72, 8] Operation: 40/5=8
Exploring Operation: 5+40=45, Resulting Numbers: [72, 45]
Generated Node #0,0,3: 86:[72, 45] Operation: 5+40=45
Moving to Node #0,0,1
Current State: 86:[40, 77], Operations: ['7+33=40', '72+5=77']
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 40+77=117, Resulting Numbers: [117]
117,86 unequal: No Solution
Exploring Operation: 40*77=3080, Resulting Numbers: [3080]
3080,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[5, 32], Operations: ['7+33=40', '72-40=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,86 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Moving to Node #0,0,3
Current State: 86:[72, 45], Operations: ['7+33=40', '5+40=45']
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 72*45=3240, Resulting Numbers: [3240]
3240,86 unequal: No Solution
Exploring Operation: 72+45=117, Resulting Numbers: [117]
117,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[72, 8], Operations: ['7+33=40', '40/5=8']
Exploring Operation: 72*8=576, Resulting Numbers: [576]
576,86 unequal: No Solution
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,86 unequal: No Solution
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,86 unequal: No Solution
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 86:[5, 33, 79], Operations: ['72+7=79']
Exploring Operation: 33-5=28, Resulting Numbers: [79, 28]
Generated Node #0,3,0: 86:[79, 28] Operation: 33-5=28
Exploring Operation: 79-33=46, Resulting Numbers: [5, 46]
Generated Node #0,3,1: 86:[5, 46] Operation: 79-33=46
Exploring Operation: 5+79=84, Resulting Numbers: [33, 84]
Generated Node #0,3,2: 86:[33, 84] Operation: 5+79=84
Exploring Operation: 5+33=38, Resulting Numbers: [79, 38]
Generated Node #0,3,3: 86:[79, 38] Operation: 5+33=38
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 86:[5, 46], Operations: ['72+7=79', '79-33=46']
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,86 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 86:[33, 84], Operations: ['72+7=79', '5+79=84']
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 33*84=2772, Resulting Numbers: [2772]
2772,86 unequal: No Solution
Exploring Operation: 33+84=117, Resulting Numbers: [117]
117,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 86:[79, 38], Operations: ['72+7=79', '5+33=38']
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,86 unequal: No Solution
Exploring Operation: 79*38=3002, Resulting Numbers: [3002]
3002,86 unequal: No Solution
Exploring Operation: 79+38=117, Resulting Numbers: [117]
117,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 86:[79, 28], Operations: ['72+7=79', '33-5=28']
Exploring Operation: 79*28=2212, Resulting Numbers: [2212]
2212,86 unequal: No Solution
Exploring Operation: 79-28=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 79+28=107, Resulting Numbers: [107]
107,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[7, 33, 77], Operations: ['72+5=77']
Exploring Operation: 7+77=84, Resulting Numbers: [33, 84]
Generated Node #0,1,0: 86:[33, 84] Operation: 7+77=84
Exploring Operation: 77-33=44, Resulting Numbers: [7, 44]
Generated Node #0,1,1: 86:[7, 44] Operation: 77-33=44
Exploring Operation: 7+33=40, Resulting Numbers: [77, 40]
Generated Node #0,1,2: 86:[77, 40] Operation: 7+33=40
Exploring Operation: 77/7=11, Resulting Numbers: [33, 11]
Generated Node #0,1,3: 86:[33, 11] Operation: 77/7=11
Moving to Node #0,1,1
Current State: 86:[7, 44], Operations: ['72+5=77', '77-33=44']
Exploring Operation: 7*44=308, Resulting Numbers: [308]
308,86 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[77, 40], Operations: ['72+5=77', '7+33=40']
Exploring Operation: 77+40=117, Resulting Numbers: [117]
117,86 unequal: No Solution
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 77*40=3080, Resulting Numbers: [3080]
3080,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[33, 84], Operations: ['72+5=77', '7+77=84']
Exploring Operation: 33+84=117, Resulting Numbers: [117]
117,86 unequal: No Solution
Exploring Operation: 33*84=2772, Resulting Numbers: [2772]
2772,86 unequal: No Solution
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[33, 11], Operations: ['72+5=77', '77/7=11']
Exploring Operation: 33*11=363, Resulting Numbers: [363]
363,86 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,86 unequal: No Solution
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
65,
48,
78,
43
] | 83 | [
"65*48=3120",
"3120/78=40",
"43+40=83"
] | Current State: 83:[65, 48, 78, 43], Operations: []
Exploring Operation: 65*48=3120, Resulting Numbers: [78, 43, 3120]
Generated Node #2: [78, 43, 3120] from Operation: 65*48=3120
Current State: 83:[78, 43, 3120], Operations: ['65*48=3120']
Exploring Operation: 3120/78=40, Resulting Numbers: [43, 40]
Generated Node #3: [43, 40] from Operation: 3120/78=40
Current State: 83:[43, 40], Operations: ['65*48=3120', '3120/78=40']
Exploring Operation: 43+40=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[65, 48, 78, 43], Operations: []
Exploring Operation: 48+43=91, Resulting Numbers: [65, 78, 91]
Generated Node #0,0: 83:[65, 78, 91] Operation: 48+43=91
Exploring Operation: 65+43=108, Resulting Numbers: [48, 78, 108]
Generated Node #0,1: 83:[48, 78, 108] Operation: 65+43=108
Exploring Operation: 65+48=113, Resulting Numbers: [78, 43, 113]
Generated Node #0,2: 83:[78, 43, 113] Operation: 65+48=113
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[65, 78, 91], Operations: ['48+43=91']
Exploring Operation: 91-65=26, Resulting Numbers: [78, 26]
Generated Node #0,0,0: 83:[78, 26] Operation: 91-65=26
Exploring Operation: 65+78=143, Resulting Numbers: [91, 143]
Generated Node #0,0,1: 83:[91, 143] Operation: 65+78=143
Exploring Operation: 78-65=13, Resulting Numbers: [91, 13]
Generated Node #0,0,2: 83:[91, 13] Operation: 78-65=13
Moving to Node #0,0,0
Current State: 83:[78, 26], Operations: ['48+43=91', '91-65=26']
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 78+26=104, Resulting Numbers: [104]
104,83 unequal: No Solution
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[91, 143], Operations: ['48+43=91', '65+78=143']
Exploring Operation: 91*143=13013, Resulting Numbers: [13013]
13013,83 unequal: No Solution
Exploring Operation: 143-91=52, Resulting Numbers: [52]
52,83 unequal: No Solution
Exploring Operation: 91+143=234, Resulting Numbers: [234]
234,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[91, 13], Operations: ['48+43=91', '78-65=13']
Exploring Operation: 91-13=78, Resulting Numbers: [78]
78,83 unequal: No Solution
Exploring Operation: 91/13=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Exploring Operation: 91+13=104, Resulting Numbers: [104]
104,83 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
Current State: 83:[48, 78, 108], Operations: ['65+43=108']
Exploring Operation: 108-48=60, Resulting Numbers: [78, 60]
Generated Node #0,1,0: 83:[78, 60] Operation: 108-48=60
Exploring Operation: 78-48=30, Resulting Numbers: [108, 30]
Generated Node #0,1,1: 83:[108, 30] Operation: 78-48=30
Exploring Operation: 48+78=126, Resulting Numbers: [108, 126]
Generated Node #0,1,2: 83:[108, 126] Operation: 48+78=126
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[78, 60], Operations: ['65+43=108', '108-48=60']
Exploring Operation: 78*60=4680, Resulting Numbers: [4680]
4680,83 unequal: No Solution
Exploring Operation: 78+60=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[108, 126], Operations: ['65+43=108', '48+78=126']
Exploring Operation: 108+126=234, Resulting Numbers: [234]
234,83 unequal: No Solution
Exploring Operation: 126-108=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 108*126=13608, Resulting Numbers: [13608]
13608,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[108, 30], Operations: ['65+43=108', '78-48=30']
Exploring Operation: 108*30=3240, Resulting Numbers: [3240]
3240,83 unequal: No Solution
Exploring Operation: 108-30=78, Resulting Numbers: [78]
78,83 unequal: No Solution
Exploring Operation: 108+30=138, Resulting Numbers: [138]
138,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[78, 43, 113], Operations: ['65+48=113']
Exploring Operation: 78+43=121, Resulting Numbers: [113, 121]
Generated Node #0,2,0: 83:[113, 121] Operation: 78+43=121
Exploring Operation: 113-43=70, Resulting Numbers: [78, 70]
Generated Node #0,2,1: 83:[78, 70] Operation: 113-43=70
Exploring Operation: 78-43=35, Resulting Numbers: [113, 35]
Generated Node #0,2,2: 83:[113, 35] Operation: 78-43=35
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 83:[78, 70], Operations: ['65+48=113', '113-43=70']
Exploring Operation: 78-70=8, Resulting Numbers: [8]
8,83 unequal: No Solution
Exploring Operation: 78*70=5460, Resulting Numbers: [5460]
5460,83 unequal: No Solution
Exploring Operation: 78+70=148, Resulting Numbers: [148]
148,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[113, 121], Operations: ['65+48=113', '78+43=121']
Exploring Operation: 113*121=13673, Resulting Numbers: [13673]
13673,83 unequal: No Solution
Exploring Operation: 113+121=234, Resulting Numbers: [234]
234,83 unequal: No Solution
Exploring Operation: 121-113=8, Resulting Numbers: [8]
8,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 83:[113, 35], Operations: ['65+48=113', '78-43=35']
Exploring Operation: 113+35=148, Resulting Numbers: [148]
148,83 unequal: No Solution
Exploring Operation: 113-35=78, Resulting Numbers: [78]
78,83 unequal: No Solution
Exploring Operation: 113*35=3955, Resulting Numbers: [3955]
3955,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
12,
48,
54,
41
] | 43 | [
"54-48=6",
"12/6=2",
"41+2=43"
] | Current State: 43:[12, 48, 54, 41], Operations: []
Exploring Operation: 54-48=6, Resulting Numbers: [12, 41, 6]
Generated Node #2: [12, 41, 6] from Operation: 54-48=6
Current State: 43:[12, 41, 6], Operations: ['54-48=6']
Exploring Operation: 12/6=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 12/6=2
Current State: 43:[41, 2], Operations: ['54-48=6', '12/6=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[12, 48, 54, 41], Operations: []
Exploring Operation: 48-12=36, Resulting Numbers: [54, 41, 36]
Generated Node #0,0: 43:[54, 41, 36] Operation: 48-12=36
Exploring Operation: 54-12=42, Resulting Numbers: [48, 41, 42]
Generated Node #0,1: 43:[48, 41, 42] Operation: 54-12=42
Exploring Operation: 12+41=53, Resulting Numbers: [48, 54, 53]
Generated Node #0,2: 43:[48, 54, 53] Operation: 12+41=53
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[48, 41, 42], Operations: ['54-12=42']
Exploring Operation: 48-42=6, Resulting Numbers: [41, 6]
Generated Node #0,1,0: 43:[41, 6] Operation: 48-42=6
Exploring Operation: 41+42=83, Resulting Numbers: [48, 83]
Generated Node #0,1,1: 43:[48, 83] Operation: 41+42=83
Exploring Operation: 48-41=7, Resulting Numbers: [42, 7]
Generated Node #0,1,2: 43:[42, 7] Operation: 48-41=7
Moving to Node #0,1,2
Current State: 43:[42, 7], Operations: ['54-12=42', '48-41=7']
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,43 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[41, 6], Operations: ['54-12=42', '48-42=6']
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,43 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Exploring Operation: 41*6=246, Resulting Numbers: [246]
246,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[48, 83], Operations: ['54-12=42', '41+42=83']
Exploring Operation: 48*83=3984, Resulting Numbers: [3984]
3984,43 unequal: No Solution
Exploring Operation: 83-48=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Exploring Operation: 48+83=131, Resulting Numbers: [131]
131,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[54, 41, 36], Operations: ['48-12=36']
Exploring Operation: 54-36=18, Resulting Numbers: [41, 18]
Generated Node #0,0,0: 43:[41, 18] Operation: 54-36=18
Exploring Operation: 54-41=13, Resulting Numbers: [36, 13]
Generated Node #0,0,1: 43:[36, 13] Operation: 54-41=13
Exploring Operation: 41+36=77, Resulting Numbers: [54, 77]
Generated Node #0,0,2: 43:[54, 77] Operation: 41+36=77
Moving to Node #0,0,0
Current State: 43:[41, 18], Operations: ['48-12=36', '54-36=18']
Exploring Operation: 41-18=23, Resulting Numbers: [23]
23,43 unequal: No Solution
Exploring Operation: 41+18=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 41*18=738, Resulting Numbers: [738]
738,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[36, 13], Operations: ['48-12=36', '54-41=13']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,43 unequal: No Solution
Exploring Operation: 36+13=49, Resulting Numbers: [49]
49,43 unequal: No Solution
Exploring Operation: 36*13=468, Resulting Numbers: [468]
468,43 unequal: No Solution
Moving to Node #0,0,2
Current State: 43:[54, 77], Operations: ['48-12=36', '41+36=77']
Exploring Operation: 54*77=4158, Resulting Numbers: [4158]
4158,43 unequal: No Solution
Exploring Operation: 54+77=131, Resulting Numbers: [131]
131,43 unequal: No Solution
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,43 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 #0,2
Current State: 43:[48, 54, 53], Operations: ['12+41=53']
Exploring Operation: 54-53=1, Resulting Numbers: [48, 1]
Generated Node #0,2,0: 43:[48, 1] Operation: 54-53=1
Exploring Operation: 54-48=6, Resulting Numbers: [53, 6]
Generated Node #0,2,1: 43:[53, 6] Operation: 54-48=6
Exploring Operation: 53-48=5, Resulting Numbers: [54, 5]
Generated Node #0,2,2: 43:[54, 5] Operation: 53-48=5
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 43:[48, 1], Operations: ['12+41=53', '54-53=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,43 unequal: No Solution
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,43 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,43 unequal: No Solution
No 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: 43:[53, 6], Operations: ['12+41=53', '54-48=6']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,43 unequal: No Solution
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 53*6=318, Resulting Numbers: [318]
318,43 unequal: No Solution
No 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: 43:[54, 5], Operations: ['12+41=53', '53-48=5']
Exploring Operation: 54*5=270, Resulting Numbers: [270]
270,43 unequal: No Solution
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,43 unequal: No Solution
Exploring Operation: 54+5=59, Resulting Numbers: [59]
59,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
82,
71,
53,
50
] | 57 | [
"82*50=4100",
"4100-53=4047",
"4047/71=57"
] | Current State: 57:[82, 71, 53, 50], Operations: []
Exploring Operation: 82*50=4100, Resulting Numbers: [71, 53, 4100]
Generated Node #2: [71, 53, 4100] from Operation: 82*50=4100
Current State: 57:[71, 53, 4100], Operations: ['82*50=4100']
Exploring Operation: 4100-53=4047, Resulting Numbers: [71, 4047]
Generated Node #3: [71, 4047] from Operation: 4100-53=4047
Current State: 57:[71, 4047], Operations: ['82*50=4100', '4100-53=4047']
Exploring Operation: 4047/71=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[82, 71, 53, 50], Operations: []
Exploring Operation: 82-53=29, Resulting Numbers: [71, 50, 29]
Generated Node #0,0: 57:[71, 50, 29] Operation: 82-53=29
Exploring Operation: 82-71=11, Resulting Numbers: [53, 50, 11]
Generated Node #0,1: 57:[53, 50, 11] Operation: 82-71=11
Exploring Operation: 82-50=32, Resulting Numbers: [71, 53, 32]
Generated Node #0,2: 57:[71, 53, 32] Operation: 82-50=32
Exploring Operation: 71-50=21, Resulting Numbers: [82, 53, 21]
Generated Node #0,3: 57:[82, 53, 21] Operation: 71-50=21
Moving to Node #0,1
Current State: 57:[53, 50, 11], Operations: ['82-71=11']
Exploring Operation: 53-50=3, Resulting Numbers: [11, 3]
Generated Node #0,1,0: 57:[11, 3] Operation: 53-50=3
Exploring Operation: 53+11=64, Resulting Numbers: [50, 64]
Generated Node #0,1,1: 57:[50, 64] Operation: 53+11=64
Exploring Operation: 53-11=42, Resulting Numbers: [50, 42]
Generated Node #0,1,2: 57:[50, 42] Operation: 53-11=42
Exploring Operation: 50+11=61, Resulting Numbers: [53, 61]
Generated Node #0,1,3: 57:[53, 61] Operation: 50+11=61
Moving to Node #0,2
Current State: 57:[71, 53, 32], Operations: ['82-50=32']
Exploring Operation: 53+32=85, Resulting Numbers: [71, 85]
Generated Node #0,2,0: 57:[71, 85] Operation: 53+32=85
Exploring Operation: 71-53=18, Resulting Numbers: [32, 18]
Generated Node #0,2,1: 57:[32, 18] Operation: 71-53=18
Exploring Operation: 53-32=21, Resulting Numbers: [71, 21]
Generated Node #0,2,2: 57:[71, 21] Operation: 53-32=21
Exploring Operation: 71-32=39, Resulting Numbers: [53, 39]
Generated Node #0,2,3: 57:[53, 39] Operation: 71-32=39
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 57:[32, 18], Operations: ['82-50=32', '71-53=18']
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 32*18=576, Resulting Numbers: [576]
576,57 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 57:[71, 21], Operations: ['82-50=32', '53-32=21']
Exploring Operation: 71*21=1491, Resulting Numbers: [1491]
1491,57 unequal: No Solution
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 71+21=92, Resulting Numbers: [92]
92,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 57:[53, 39], Operations: ['82-50=32', '71-32=39']
Exploring Operation: 53*39=2067, Resulting Numbers: [2067]
2067,57 unequal: No Solution
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 53+39=92, Resulting Numbers: [92]
92,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 57:[71, 85], Operations: ['82-50=32', '53+32=85']
Exploring Operation: 71+85=156, Resulting Numbers: [156]
156,57 unequal: No Solution
Exploring Operation: 85-71=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 71*85=6035, Resulting Numbers: [6035]
6035,57 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: 57:[71, 50, 29], Operations: ['82-53=29']
Exploring Operation: 50-29=21, Resulting Numbers: [71, 21]
Generated Node #0,0,0: 57:[71, 21] Operation: 50-29=21
Exploring Operation: 50+29=79, Resulting Numbers: [71, 79]
Generated Node #0,0,1: 57:[71, 79] Operation: 50+29=79
Exploring Operation: 71-50=21, Resulting Numbers: [29, 21]
Generated Node #0,0,2: 57:[29, 21] Operation: 71-50=21
Exploring Operation: 71-29=42, Resulting Numbers: [50, 42]
Generated Node #0,0,3: 57:[50, 42] Operation: 71-29=42
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 57:[29, 21], Operations: ['82-53=29', '71-50=21']
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 29+21=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 29*21=609, Resulting Numbers: [609]
609,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[71, 21], Operations: ['82-53=29', '50-29=21']
Exploring Operation: 71+21=92, Resulting Numbers: [92]
92,57 unequal: No Solution
Exploring Operation: 71*21=1491, Resulting Numbers: [1491]
1491,57 unequal: No Solution
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 57:[50, 42], Operations: ['82-53=29', '71-29=42']
Exploring Operation: 50-42=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 50*42=2100, Resulting Numbers: [2100]
2100,57 unequal: No Solution
Exploring Operation: 50+42=92, Resulting Numbers: [92]
92,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 57:[71, 79], Operations: ['82-53=29', '50+29=79']
Exploring Operation: 79-71=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 71*79=5609, Resulting Numbers: [5609]
5609,57 unequal: No Solution
Exploring Operation: 71+79=150, Resulting Numbers: [150]
150,57 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: 57:[82, 53, 21], Operations: ['71-50=21']
Exploring Operation: 53-21=32, Resulting Numbers: [82, 32]
Generated Node #0,3,0: 57:[82, 32] Operation: 53-21=32
Exploring Operation: 53+21=74, Resulting Numbers: [82, 74]
Generated Node #0,3,1: 57:[82, 74] Operation: 53+21=74
Exploring Operation: 82-53=29, Resulting Numbers: [21, 29]
Generated Node #0,3,2: 57:[21, 29] Operation: 82-53=29
Exploring Operation: 82-21=61, Resulting Numbers: [53, 61]
Generated Node #0,3,3: 57:[53, 61] Operation: 82-21=61
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 57:[53, 61], Operations: ['71-50=21', '82-21=61']
Exploring Operation: 53+61=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 61-53=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 53*61=3233, Resulting Numbers: [3233]
3233,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 57:[21, 29], Operations: ['71-50=21', '82-53=29']
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 21+29=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 21*29=609, Resulting Numbers: [609]
609,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 57:[82, 32], Operations: ['71-50=21', '53-21=32']
Exploring Operation: 82*32=2624, Resulting Numbers: [2624]
2624,57 unequal: No Solution
Exploring Operation: 82+32=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 57:[82, 74], Operations: ['71-50=21', '53+21=74']
Exploring Operation: 82-74=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 82*74=6068, Resulting Numbers: [6068]
6068,57 unequal: No Solution
Exploring Operation: 82+74=156, Resulting Numbers: [156]
156,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 57:[11, 3], Operations: ['82-71=11', '53-50=3']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Moving to Node #0,1,3
Current State: 57:[53, 61], Operations: ['82-71=11', '50+11=61']
Exploring Operation: 53*61=3233, Resulting Numbers: [3233]
3233,57 unequal: No Solution
Exploring Operation: 53+61=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 61-53=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[50, 64], Operations: ['82-71=11', '53+11=64']
Exploring Operation: 50+64=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 50*64=3200, Resulting Numbers: [3200]
3200,57 unequal: No Solution
Moving to Node #0,1,2
Current State: 57:[50, 42], Operations: ['82-71=11', '53-11=42']
Exploring Operation: 50+42=92, Resulting Numbers: [92]
92,57 unequal: No Solution
Exploring Operation: 50-42=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 50*42=2100, Resulting Numbers: [2100]
2100,57 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
8,
44,
26,
65
] | 39 | [
"8+44=52",
"26+65=91",
"91-52=39"
] | Current State: 39:[8, 44, 26, 65], Operations: []
Exploring Operation: 8+44=52, Resulting Numbers: [26, 65, 52]
Generated Node #2: [26, 65, 52] from Operation: 8+44=52
Current State: 39:[26, 65, 52], Operations: ['8+44=52']
Exploring Operation: 26+65=91, Resulting Numbers: [52, 91]
Generated Node #3: [52, 91] from Operation: 26+65=91
Current State: 39:[52, 91], Operations: ['8+44=52', '26+65=91']
Exploring Operation: 91-52=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[8, 44, 26, 65], Operations: []
Exploring Operation: 26-8=18, Resulting Numbers: [44, 65, 18]
Generated Node #0,0: 39:[44, 65, 18] Operation: 26-8=18
Exploring Operation: 65-26=39, Resulting Numbers: [8, 44, 39]
Generated Node #0,1: 39:[8, 44, 39] Operation: 65-26=39
Exploring Operation: 8+26=34, Resulting Numbers: [44, 65, 34]
Generated Node #0,2: 39:[44, 65, 34] Operation: 8+26=34
Exploring Operation: 65-44=21, Resulting Numbers: [8, 26, 21]
Generated Node #0,3: 39:[8, 26, 21] Operation: 65-44=21
Moving to Node #0,1
Current State: 39:[8, 44, 39], Operations: ['65-26=39']
Exploring Operation: 44-8=36, Resulting Numbers: [39, 36]
Generated Node #0,1,0: 39:[39, 36] Operation: 44-8=36
Exploring Operation: 8+39=47, Resulting Numbers: [44, 47]
Generated Node #0,1,1: 39:[44, 47] Operation: 8+39=47
Exploring Operation: 44-39=5, Resulting Numbers: [8, 5]
Generated Node #0,1,2: 39:[8, 5] Operation: 44-39=5
Exploring Operation: 8+44=52, Resulting Numbers: [39, 52]
Generated Node #0,1,3: 39:[39, 52] Operation: 8+44=52
Moving to Node #0,3
Current State: 39:[8, 26, 21], Operations: ['65-44=21']
Exploring Operation: 26-21=5, Resulting Numbers: [8, 5]
Generated Node #0,3,0: 39:[8, 5] Operation: 26-21=5
Exploring Operation: 26-8=18, Resulting Numbers: [21, 18]
Generated Node #0,3,1: 39:[21, 18] Operation: 26-8=18
Exploring Operation: 21-8=13, Resulting Numbers: [26, 13]
Generated Node #0,3,2: 39:[26, 13] Operation: 21-8=13
Exploring Operation: 8+26=34, Resulting Numbers: [21, 34]
Generated Node #0,3,3: 39:[21, 34] Operation: 8+26=34
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 39:[8, 5], Operations: ['65-44=21', '26-21=5']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 39:[21, 18], Operations: ['65-44=21', '26-8=18']
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,39 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[8, 44, 26, 65], Operations: []
Exploring Operation: 65-44=21, Resulting Numbers: [8, 26, 21]
Generated Node #0,3: 39:[8, 26, 21] Operation: 65-44=21
Moving to Node #0,3
Current State: 39:[8, 26, 21], Operations: ['65-44=21']
Exploring Operation: 26-8=18, Resulting Numbers: [21, 18]
Generated Node #0,3,1: 39:[21, 18] Operation: 26-8=18
Moving to Node #0,3,1
Current State: 39:[21, 18], Operations: ['65-44=21', '26-8=18']
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
39,
78,
45,
8
] | 74 | [
"78/39=2",
"45-8=37",
"2*37=74"
] | Current State: 74:[39, 78, 45, 8], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [45, 8, 2]
Generated Node #2: [45, 8, 2] from Operation: 78/39=2
Current State: 74:[45, 8, 2], Operations: ['78/39=2']
Exploring Operation: 45-8=37, Resulting Numbers: [2, 37]
Generated Node #3: [2, 37] from Operation: 45-8=37
Current State: 74:[2, 37], Operations: ['78/39=2', '45-8=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[39, 78, 45, 8], Operations: []
Exploring Operation: 78-45=33, Resulting Numbers: [39, 8, 33]
Generated Node #0,0: 74:[39, 8, 33] Operation: 78-45=33
Exploring Operation: 45-39=6, Resulting Numbers: [78, 8, 6]
Generated Node #0,1: 74:[78, 8, 6] Operation: 45-39=6
Exploring Operation: 78/39=2, Resulting Numbers: [45, 8, 2]
Generated Node #0,2: 74:[45, 8, 2] Operation: 78/39=2
Exploring Operation: 78-8=70, Resulting Numbers: [39, 45, 70]
Generated Node #0,3: 74:[39, 45, 70] Operation: 78-8=70
Exploring Operation: 45-8=37, Resulting Numbers: [39, 78, 37]
Generated Node #0,4: 74:[39, 78, 37] Operation: 45-8=37
Moving to Node #0,4
Current State: 74:[39, 78, 37], Operations: ['45-8=37']
Exploring Operation: 78-37=41, Resulting Numbers: [39, 41]
Generated Node #0,4,0: 74:[39, 41] Operation: 78-37=41
Exploring Operation: 78-39=39, Resulting Numbers: [37, 39]
Generated Node #0,4,1: 74:[37, 39] Operation: 78-39=39
Exploring Operation: 39+37=76, Resulting Numbers: [78, 76]
Generated Node #0,4,2: 74:[78, 76] Operation: 39+37=76
Exploring Operation: 78/39=2, Resulting Numbers: [37, 2]
Generated Node #0,4,3: 74:[37, 2] Operation: 78/39=2
Exploring Operation: 39-37=2, Resulting Numbers: [78, 2]
Generated Node #0,4,4: 74:[78, 2] Operation: 39-37=2
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 74:[37, 2], Operations: ['45-8=37', '78/39=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[39, 78, 45, 8], Operations: []
Exploring Operation: 45-8=37, Resulting Numbers: [39, 78, 37]
Generated Node #0,4: 74:[39, 78, 37] Operation: 45-8=37
Moving to Node #0,4
Current State: 74:[39, 78, 37], Operations: ['45-8=37']
Exploring Operation: 78/39=2, Resulting Numbers: [37, 2]
Generated Node #0,4,3: 74:[37, 2] Operation: 78/39=2
Moving to Node #0,4,3
Current State: 74:[37, 2], Operations: ['45-8=37', '78/39=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
33,
39,
22,
66
] | 46 | [
"39*22=858",
"858/66=13",
"33+13=46"
] | Current State: 46:[33, 39, 22, 66], Operations: []
Exploring Operation: 39*22=858, Resulting Numbers: [33, 66, 858]
Generated Node #2: [33, 66, 858] from Operation: 39*22=858
Current State: 46:[33, 66, 858], Operations: ['39*22=858']
Exploring Operation: 858/66=13, Resulting Numbers: [33, 13]
Generated Node #3: [33, 13] from Operation: 858/66=13
Current State: 46:[33, 13], Operations: ['39*22=858', '858/66=13']
Exploring Operation: 33+13=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[33, 39, 22, 66], Operations: []
Exploring Operation: 66-39=27, Resulting Numbers: [33, 22, 27]
Generated Node #0,0: 46:[33, 22, 27] Operation: 66-39=27
Exploring Operation: 66/33=2, Resulting Numbers: [39, 22, 2]
Generated Node #0,1: 46:[39, 22, 2] Operation: 66/33=2
Moving to Node #0,1
Current State: 46:[39, 22, 2], Operations: ['66/33=2']
Exploring Operation: 39+2=41, Resulting Numbers: [22, 41]
Generated Node #0,1,0: 46:[22, 41] Operation: 39+2=41
Exploring Operation: 39-22=17, Resulting Numbers: [2, 17]
Generated Node #0,1,1: 46:[2, 17] Operation: 39-22=17
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[22, 41], Operations: ['66/33=2', '39+2=41']
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 22+41=63, Resulting Numbers: [63]
63,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[2, 17], Operations: ['66/33=2', '39-22=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 46:[33, 22, 27], Operations: ['66-39=27']
Exploring Operation: 33+22=55, Resulting Numbers: [27, 55]
Generated Node #0,0,0: 46:[27, 55] Operation: 33+22=55
Exploring Operation: 33-27=6, Resulting Numbers: [22, 6]
Generated Node #0,0,1: 46:[22, 6] Operation: 33-27=6
Moving to Node #0,0,1
Current State: 46:[22, 6], Operations: ['66-39=27', '33-27=6']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,46 unequal: No Solution
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[27, 55], Operations: ['66-39=27', '33+22=55']
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,46 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
80,
75,
25,
60
] | 44 | [
"80-25=55",
"60*55=3300",
"3300/75=44"
] | Current State: 44:[80, 75, 25, 60], Operations: []
Exploring Operation: 80-25=55, Resulting Numbers: [75, 60, 55]
Generated Node #2: [75, 60, 55] from Operation: 80-25=55
Current State: 44:[75, 60, 55], Operations: ['80-25=55']
Exploring Operation: 60*55=3300, Resulting Numbers: [75, 3300]
Generated Node #3: [75, 3300] from Operation: 60*55=3300
Current State: 44:[75, 3300], Operations: ['80-25=55', '60*55=3300']
Exploring Operation: 3300/75=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[80, 75, 25, 60], Operations: []
Exploring Operation: 80-60=20, Resulting Numbers: [75, 25, 20]
Generated Node #0,0: 44:[75, 25, 20] Operation: 80-60=20
Exploring Operation: 80-75=5, Resulting Numbers: [25, 60, 5]
Generated Node #0,1: 44:[25, 60, 5] Operation: 80-75=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[25, 60, 5], Operations: ['80-75=5']
Exploring Operation: 60/5=12, Resulting Numbers: [25, 12]
Generated Node #0,1,0: 44:[25, 12] Operation: 60/5=12
Exploring Operation: 60-25=35, Resulting Numbers: [5, 35]
Generated Node #0,1,1: 44:[5, 35] Operation: 60-25=35
Moving to Node #0,1,0
Current State: 44:[25, 12], Operations: ['80-75=5', '60/5=12']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,44 unequal: No Solution
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[5, 35], Operations: ['80-75=5', '60-25=35']
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[75, 25, 20], Operations: ['80-60=20']
Exploring Operation: 75-25=50, Resulting Numbers: [20, 50]
Generated Node #0,0,0: 44:[20, 50] Operation: 75-25=50
Exploring Operation: 75/25=3, Resulting Numbers: [20, 3]
Generated Node #0,0,1: 44:[20, 3] Operation: 75/25=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 44:[20, 3], Operations: ['80-60=20', '75/25=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,44 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,44 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:[20, 50], Operations: ['80-60=20', '75-25=50']
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 20+50=70, Resulting Numbers: [70]
70,44 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
No solution found.
| 0 | hs_2 | sum_heuristic |
[
57,
31,
79,
19
] | 45 | [
"57/19=3",
"79-31=48",
"48-3=45"
] | Current State: 45:[57, 31, 79, 19], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [31, 79, 3]
Generated Node #2: [31, 79, 3] from Operation: 57/19=3
Current State: 45:[31, 79, 3], Operations: ['57/19=3']
Exploring Operation: 79-31=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 79-31=48
Current State: 45:[3, 48], Operations: ['57/19=3', '79-31=48']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[57, 31, 79, 19], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [31, 79, 3]
Generated Node #0,0: 45:[31, 79, 3] Operation: 57/19=3
Exploring Operation: 79-57=22, Resulting Numbers: [31, 19, 22]
Generated Node #0,1: 45:[31, 19, 22] Operation: 79-57=22
Exploring Operation: 79-19=60, Resulting Numbers: [57, 31, 60]
Generated Node #0,2: 45:[57, 31, 60] Operation: 79-19=60
Exploring Operation: 79-31=48, Resulting Numbers: [57, 19, 48]
Generated Node #0,3: 45:[57, 19, 48] Operation: 79-31=48
Exploring Operation: 57-31=26, Resulting Numbers: [79, 19, 26]
Generated Node #0,4: 45:[79, 19, 26] Operation: 57-31=26
Moving to Node #0,3
Current State: 45:[57, 19, 48], Operations: ['79-31=48']
Exploring Operation: 48-19=29, Resulting Numbers: [57, 29]
Generated Node #0,3,0: 45:[57, 29] Operation: 48-19=29
Exploring Operation: 57/19=3, Resulting Numbers: [48, 3]
Generated Node #0,3,1: 45:[48, 3] Operation: 57/19=3
Exploring Operation: 57+19=76, Resulting Numbers: [48, 76]
Generated Node #0,3,2: 45:[48, 76] Operation: 57+19=76
Exploring Operation: 57-19=38, Resulting Numbers: [48, 38]
Generated Node #0,3,3: 45:[48, 38] Operation: 57-19=38
Exploring Operation: 57-48=9, Resulting Numbers: [19, 9]
Generated Node #0,3,4: 45:[19, 9] Operation: 57-48=9
Moving to Node #0,1
Current State: 45:[31, 19, 22], Operations: ['79-57=22']
Exploring Operation: 31-19=12, Resulting Numbers: [22, 12]
Generated Node #0,1,0: 45:[22, 12] Operation: 31-19=12
Exploring Operation: 22-19=3, Resulting Numbers: [31, 3]
Generated Node #0,1,1: 45:[31, 3] Operation: 22-19=3
Exploring Operation: 31+19=50, Resulting Numbers: [22, 50]
Generated Node #0,1,2: 45:[22, 50] Operation: 31+19=50
Exploring Operation: 31+22=53, Resulting Numbers: [19, 53]
Generated Node #0,1,3: 45:[19, 53] Operation: 31+22=53
Exploring Operation: 31-22=9, Resulting Numbers: [19, 9]
Generated Node #0,1,4: 45:[19, 9] Operation: 31-22=9
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 45:[19, 9], Operations: ['79-57=22', '31-22=9']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,45 unequal: No Solution
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,45 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:[22, 12], Operations: ['79-57=22', '31-19=12']
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,45 unequal: No Solution
Exploring Operation: 22*12=264, Resulting Numbers: [264]
264,45 unequal: No Solution
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,45 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 #0,1,2
Current State: 45:[22, 50], Operations: ['79-57=22', '31+19=50']
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 22*50=1100, Resulting Numbers: [1100]
1100,45 unequal: No Solution
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,45 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 #0,1,3
Current State: 45:[19, 53], Operations: ['79-57=22', '31+22=53']
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,45 unequal: No Solution
Exploring Operation: 19+53=72, Resulting Numbers: [72]
72,45 unequal: No Solution
Exploring Operation: 19*53=1007, Resulting Numbers: [1007]
1007,45 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 #0,1,1
Current State: 45:[31, 3], Operations: ['79-57=22', '22-19=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,45 unequal: No Solution
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,45 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,45 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: 45:[57, 31, 60], Operations: ['79-19=60']
Exploring Operation: 60-57=3, Resulting Numbers: [31, 3]
Generated Node #0,2,0: 45:[31, 3] Operation: 60-57=3
Exploring Operation: 31+60=91, Resulting Numbers: [57, 91]
Generated Node #0,2,1: 45:[57, 91] Operation: 31+60=91
Exploring Operation: 60-31=29, Resulting Numbers: [57, 29]
Generated Node #0,2,2: 45:[57, 29] Operation: 60-31=29
Exploring Operation: 57-31=26, Resulting Numbers: [60, 26]
Generated Node #0,2,3: 45:[60, 26] Operation: 57-31=26
Exploring Operation: 57+31=88, Resulting Numbers: [60, 88]
Generated Node #0,2,4: 45:[60, 88] Operation: 57+31=88
Moving to Node #0,0
Current State: 45:[31, 79, 3], Operations: ['57/19=3']
Exploring Operation: 31-3=28, Resulting Numbers: [79, 28]
Generated Node #0,0,0: 45:[79, 28] Operation: 31-3=28
Exploring Operation: 31+3=34, Resulting Numbers: [79, 34]
Generated Node #0,0,1: 45:[79, 34] Operation: 31+3=34
Exploring Operation: 79-31=48, Resulting Numbers: [3, 48]
Generated Node #0,0,2: 45:[3, 48] Operation: 79-31=48
Exploring Operation: 79+3=82, Resulting Numbers: [31, 82]
Generated Node #0,0,3: 45:[31, 82] Operation: 79+3=82
Exploring Operation: 79-3=76, Resulting Numbers: [31, 76]
Generated Node #0,0,4: 45:[31, 76] Operation: 79-3=76
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 45:[3, 48], Operations: ['57/19=3', '79-31=48']
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,45 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[57, 31, 79, 19], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [31, 79, 3]
Generated Node #0,0: 45:[31, 79, 3] Operation: 57/19=3
Moving to Node #0,0
Current State: 45:[31, 79, 3], Operations: ['57/19=3']
Exploring Operation: 79-31=48, Resulting Numbers: [3, 48]
Generated Node #0,0,2: 45:[3, 48] Operation: 79-31=48
Moving to Node #0,0,2
Current State: 45:[3, 48], Operations: ['57/19=3', '79-31=48']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_5 | mult_heuristic |
[
84,
98,
72,
21
] | 89 | [
"84+98=182",
"72+21=93",
"182-93=89"
] | Current State: 89:[84, 98, 72, 21], Operations: []
Exploring Operation: 84+98=182, Resulting Numbers: [72, 21, 182]
Generated Node #2: [72, 21, 182] from Operation: 84+98=182
Current State: 89:[72, 21, 182], Operations: ['84+98=182']
Exploring Operation: 72+21=93, Resulting Numbers: [182, 93]
Generated Node #3: [182, 93] from Operation: 72+21=93
Current State: 89:[182, 93], Operations: ['84+98=182', '72+21=93']
Exploring Operation: 182-93=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[84, 98, 72, 21], Operations: []
Exploring Operation: 84-21=63, Resulting Numbers: [98, 72, 63]
Generated Node #0,0: 89:[98, 72, 63] Operation: 84-21=63
Exploring Operation: 84+21=105, Resulting Numbers: [98, 72, 105]
Generated Node #0,1: 89:[98, 72, 105] Operation: 84+21=105
Exploring Operation: 98-21=77, Resulting Numbers: [84, 72, 77]
Generated Node #0,2: 89:[84, 72, 77] Operation: 98-21=77
Exploring Operation: 72+21=93, Resulting Numbers: [84, 98, 93]
Generated Node #0,3: 89:[84, 98, 93] Operation: 72+21=93
Start Sub Search at level 1: Moving to Node #0,3
Current State: 89:[84, 98, 93], Operations: ['72+21=93']
Exploring Operation: 93-84=9, Resulting Numbers: [98, 9]
Generated Node #0,3,0: 89:[98, 9] Operation: 93-84=9
Exploring Operation: 98-93=5, Resulting Numbers: [84, 5]
Generated Node #0,3,1: 89:[84, 5] Operation: 98-93=5
Exploring Operation: 98-84=14, Resulting Numbers: [93, 14]
Generated Node #0,3,2: 89:[93, 14] Operation: 98-84=14
Exploring Operation: 84+98=182, Resulting Numbers: [93, 182]
Generated Node #0,3,3: 89:[93, 182] Operation: 84+98=182
Moving to Node #0,3,2
Current State: 89:[93, 14], Operations: ['72+21=93', '98-84=14']
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Exploring Operation: 93*14=1302, Resulting Numbers: [1302]
1302,89 unequal: No Solution
Exploring Operation: 93+14=107, Resulting Numbers: [107]
107,89 unequal: No Solution
Moving to Node #0,3,1
Current State: 89:[84, 5], Operations: ['72+21=93', '98-93=5']
Exploring Operation: 84+5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[84, 98, 72, 21], Operations: []
Exploring Operation: 72+21=93, Resulting Numbers: [84, 98, 93]
Generated Node #0,3: 89:[84, 98, 93] Operation: 72+21=93
Moving to Node #0,3
Current State: 89:[84, 98, 93], Operations: ['72+21=93']
Exploring Operation: 98-93=5, Resulting Numbers: [84, 5]
Generated Node #0,3,1: 89:[84, 5] Operation: 98-93=5
Moving to Node #0,3,1
Current State: 89:[84, 5], Operations: ['72+21=93', '98-93=5']
Exploring Operation: 84+5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
74,
88,
12,
91
] | 70 | [
"91-88=3",
"12/3=4",
"74-4=70"
] | Current State: 70:[74, 88, 12, 91], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [74, 12, 3]
Generated Node #2: [74, 12, 3] from Operation: 91-88=3
Current State: 70:[74, 12, 3], Operations: ['91-88=3']
Exploring Operation: 12/3=4, Resulting Numbers: [74, 4]
Generated Node #3: [74, 4] from Operation: 12/3=4
Current State: 70:[74, 4], Operations: ['91-88=3', '12/3=4']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[74, 88, 12, 91], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [74, 12, 3]
Generated Node #0,0: 70:[74, 12, 3] Operation: 91-88=3
Exploring Operation: 91-74=17, Resulting Numbers: [88, 12, 17]
Generated Node #0,1: 70:[88, 12, 17] Operation: 91-74=17
Exploring Operation: 88-12=76, Resulting Numbers: [74, 91, 76]
Generated Node #0,2: 70:[74, 91, 76] Operation: 88-12=76
Exploring Operation: 88-74=14, Resulting Numbers: [12, 91, 14]
Generated Node #0,3: 70:[12, 91, 14] Operation: 88-74=14
Moving to Node #0,0
Current State: 70:[74, 12, 3], Operations: ['91-88=3']
Exploring Operation: 12*3=36, Resulting Numbers: [74, 36]
Generated Node #0,0,0: 70:[74, 36] Operation: 12*3=36
Exploring Operation: 12+3=15, Resulting Numbers: [74, 15]
Generated Node #0,0,1: 70:[74, 15] Operation: 12+3=15
Exploring Operation: 74-3=71, Resulting Numbers: [12, 71]
Generated Node #0,0,2: 70:[12, 71] Operation: 74-3=71
Exploring Operation: 12-3=9, Resulting Numbers: [74, 9]
Generated Node #0,0,3: 70:[74, 9] Operation: 12-3=9
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[12, 71], Operations: ['91-88=3', '74-3=71']
Exploring Operation: 12+71=83, Resulting Numbers: [83]
83,70 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 12*71=852, Resulting Numbers: [852]
852,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[74, 36], Operations: ['91-88=3', '12*3=36']
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,70 unequal: No Solution
Exploring Operation: 74+36=110, Resulting Numbers: [110]
110,70 unequal: No Solution
Exploring Operation: 74*36=2664, Resulting Numbers: [2664]
2664,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[74, 15], Operations: ['91-88=3', '12+3=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 74+15=89, Resulting Numbers: [89]
89,70 unequal: No Solution
Exploring Operation: 74*15=1110, Resulting Numbers: [1110]
1110,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 70:[74, 9], Operations: ['91-88=3', '12-3=9']
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,70 unequal: No Solution
Exploring Operation: 74*9=666, Resulting Numbers: [666]
666,70 unequal: No Solution
Exploring Operation: 74+9=83, Resulting Numbers: [83]
83,70 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: 70:[12, 91, 14], Operations: ['88-74=14']
Exploring Operation: 91-14=77, Resulting Numbers: [12, 77]
Generated Node #0,3,0: 70:[12, 77] Operation: 91-14=77
Exploring Operation: 91-12=79, Resulting Numbers: [14, 79]
Generated Node #0,3,1: 70:[14, 79] Operation: 91-12=79
Exploring Operation: 14-12=2, Resulting Numbers: [91, 2]
Generated Node #0,3,2: 70:[91, 2] Operation: 14-12=2
Exploring Operation: 12+14=26, Resulting Numbers: [91, 26]
Generated Node #0,3,3: 70:[91, 26] Operation: 12+14=26
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 70:[12, 77], Operations: ['88-74=14', '91-14=77']
Exploring Operation: 12+77=89, Resulting Numbers: [89]
89,70 unequal: No Solution
Exploring Operation: 77-12=65, Resulting Numbers: [65]
65,70 unequal: No Solution
Exploring Operation: 12*77=924, Resulting Numbers: [924]
924,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 70:[14, 79], Operations: ['88-74=14', '91-12=79']
Exploring Operation: 14+79=93, Resulting Numbers: [93]
93,70 unequal: No Solution
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,70 unequal: No Solution
Exploring Operation: 14*79=1106, Resulting Numbers: [1106]
1106,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 70:[91, 2], Operations: ['88-74=14', '14-12=2']
Exploring Operation: 91*2=182, Resulting Numbers: [182]
182,70 unequal: No Solution
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,70 unequal: No Solution
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 70:[91, 26], Operations: ['88-74=14', '12+14=26']
Exploring Operation: 91*26=2366, Resulting Numbers: [2366]
2366,70 unequal: No Solution
Exploring Operation: 91+26=117, Resulting Numbers: [117]
117,70 unequal: No Solution
Exploring Operation: 91-26=65, Resulting Numbers: [65]
65,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 70:[88, 12, 17], Operations: ['91-74=17']
Exploring Operation: 88-17=71, Resulting Numbers: [12, 71]
Generated Node #0,1,0: 70:[12, 71] Operation: 88-17=71
Exploring Operation: 12+17=29, Resulting Numbers: [88, 29]
Generated Node #0,1,1: 70:[88, 29] Operation: 12+17=29
Exploring Operation: 88-12=76, Resulting Numbers: [17, 76]
Generated Node #0,1,2: 70:[17, 76] Operation: 88-12=76
Exploring Operation: 17-12=5, Resulting Numbers: [88, 5]
Generated Node #0,1,3: 70:[88, 5] Operation: 17-12=5
Moving to Node #0,2
Current State: 70:[74, 91, 76], Operations: ['88-12=76']
Exploring Operation: 76-74=2, Resulting Numbers: [91, 2]
Generated Node #0,2,0: 70:[91, 2] Operation: 76-74=2
Exploring Operation: 74+91=165, Resulting Numbers: [76, 165]
Generated Node #0,2,1: 70:[76, 165] Operation: 74+91=165
Exploring Operation: 91-74=17, Resulting Numbers: [76, 17]
Generated Node #0,2,2: 70:[76, 17] Operation: 91-74=17
Exploring Operation: 91-76=15, Resulting Numbers: [74, 15]
Generated Node #0,2,3: 70:[74, 15] Operation: 91-76=15
Moving to Node #0,1,0
Current State: 70:[12, 71], Operations: ['91-74=17', '88-17=71']
Exploring Operation: 12*71=852, Resulting Numbers: [852]
852,70 unequal: No Solution
Exploring Operation: 12+71=83, Resulting Numbers: [83]
83,70 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Moving to Node #0,2,3
Current State: 70:[74, 15], Operations: ['88-12=76', '91-76=15']
Exploring Operation: 74+15=89, Resulting Numbers: [89]
89,70 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 74*15=1110, Resulting Numbers: [1110]
1110,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[76, 17], Operations: ['88-12=76', '91-74=17']
Exploring Operation: 76+17=93, Resulting Numbers: [93]
93,70 unequal: No Solution
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 76*17=1292, Resulting Numbers: [1292]
1292,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[17, 76], Operations: ['91-74=17', '88-12=76']
Exploring Operation: 17*76=1292, Resulting Numbers: [1292]
1292,70 unequal: No Solution
Exploring Operation: 17+76=93, Resulting Numbers: [93]
93,70 unequal: No Solution
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Moving to Node #0,1,3
Current State: 70:[88, 5], Operations: ['91-74=17', '17-12=5']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,70 unequal: No Solution
Exploring Operation: 88+5=93, Resulting Numbers: [93]
93,70 unequal: No Solution
Exploring Operation: 88*5=440, Resulting Numbers: [440]
440,70 unequal: No Solution
Moving to Node #0,2,0
Current State: 70:[91, 2], Operations: ['88-12=76', '76-74=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,70 unequal: No Solution
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,70 unequal: No Solution
Exploring Operation: 91*2=182, Resulting Numbers: [182]
182,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[88, 29], Operations: ['91-74=17', '12+17=29']
Exploring Operation: 88*29=2552, Resulting Numbers: [2552]
2552,70 unequal: No Solution
Exploring Operation: 88-29=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 88+29=117, Resulting Numbers: [117]
117,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[76, 165], Operations: ['88-12=76', '74+91=165']
Exploring Operation: 76*165=12540, Resulting Numbers: [12540]
12540,70 unequal: No Solution
Exploring Operation: 165-76=89, Resulting Numbers: [89]
89,70 unequal: No Solution
Exploring Operation: 76+165=241, Resulting Numbers: [241]
241,70 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
33,
58,
57,
55
] | 42 | [
"58-55=3",
"33*3=99",
"99-57=42"
] | Current State: 42:[33, 58, 57, 55], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [33, 57, 3]
Generated Node #2: [33, 57, 3] from Operation: 58-55=3
Current State: 42:[33, 57, 3], Operations: ['58-55=3']
Exploring Operation: 33*3=99, Resulting Numbers: [57, 99]
Generated Node #3: [57, 99] from Operation: 33*3=99
Current State: 42:[57, 99], Operations: ['58-55=3', '33*3=99']
Exploring Operation: 99-57=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[33, 58, 57, 55], Operations: []
Exploring Operation: 58-57=1, Resulting Numbers: [33, 55, 1]
Generated Node #0,0: 42:[33, 55, 1] Operation: 58-57=1
Exploring Operation: 58-55=3, Resulting Numbers: [33, 57, 3]
Generated Node #0,1: 42:[33, 57, 3] Operation: 58-55=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[33, 55, 1], Operations: ['58-57=1']
Exploring Operation: 33+1=34, Resulting Numbers: [55, 34]
Generated Node #0,0,0: 42:[55, 34] Operation: 33+1=34
Exploring Operation: 55-33=22, Resulting Numbers: [1, 22]
Generated Node #0,0,1: 42:[1, 22] Operation: 55-33=22
Moving to Node #0,0,1
Current State: 42:[1, 22], Operations: ['58-57=1', '55-33=22']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 1*22=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[55, 34], Operations: ['58-57=1', '33+1=34']
Exploring Operation: 55-34=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 55+34=89, Resulting Numbers: [89]
89,42 unequal: No Solution
No 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: 42:[33, 57, 3], Operations: ['58-55=3']
Exploring Operation: 57-33=24, Resulting Numbers: [3, 24]
Generated Node #0,1,0: 42:[3, 24] Operation: 57-33=24
Exploring Operation: 57/3=19, Resulting Numbers: [33, 19]
Generated Node #0,1,1: 42:[33, 19] Operation: 57/3=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 42:[3, 24], Operations: ['58-55=3', '57-33=24']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 42:[33, 19], Operations: ['58-55=3', '57/3=19']
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,42 unequal: No Solution
Exploring Operation: 33+19=52, Resulting Numbers: [52]
52,42 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 |
[
7,
90,
35,
36
] | 97 | [
"7+90=97",
"36-35=1",
"97*1=97"
] | Current State: 97:[7, 90, 35, 36], Operations: []
Exploring Operation: 7+90=97, Resulting Numbers: [35, 36, 97]
Generated Node #2: [35, 36, 97] from Operation: 7+90=97
Current State: 97:[35, 36, 97], Operations: ['7+90=97']
Exploring Operation: 36-35=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 36-35=1
Current State: 97:[97, 1], Operations: ['7+90=97', '36-35=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[7, 90, 35, 36], Operations: []
Exploring Operation: 7+35=42, Resulting Numbers: [90, 36, 42]
Generated Node #0,0: 97:[90, 36, 42] Operation: 7+35=42
Exploring Operation: 7+90=97, Resulting Numbers: [35, 36, 97]
Generated Node #0,1: 97:[35, 36, 97] Operation: 7+90=97
Exploring Operation: 7+36=43, Resulting Numbers: [90, 35, 43]
Generated Node #0,2: 97:[90, 35, 43] Operation: 7+36=43
Exploring Operation: 35+36=71, Resulting Numbers: [7, 90, 71]
Generated Node #0,3: 97:[7, 90, 71] Operation: 35+36=71
Moving to Node #0,0
Current State: 97:[90, 36, 42], Operations: ['7+35=42']
Exploring Operation: 90+36=126, Resulting Numbers: [42, 126]
Generated Node #0,0,0: 97:[42, 126] Operation: 90+36=126
Exploring Operation: 36+42=78, Resulting Numbers: [90, 78]
Generated Node #0,0,1: 97:[90, 78] Operation: 36+42=78
Exploring Operation: 90+42=132, Resulting Numbers: [36, 132]
Generated Node #0,0,2: 97:[36, 132] Operation: 90+42=132
Exploring Operation: 90-36=54, Resulting Numbers: [42, 54]
Generated Node #0,0,3: 97:[42, 54] Operation: 90-36=54
Moving to Node #0,2
Current State: 97:[90, 35, 43], Operations: ['7+36=43']
Exploring Operation: 35+43=78, Resulting Numbers: [90, 78]
Generated Node #0,2,0: 97:[90, 78] Operation: 35+43=78
Exploring Operation: 43-35=8, Resulting Numbers: [90, 8]
Generated Node #0,2,1: 97:[90, 8] Operation: 43-35=8
Exploring Operation: 90-35=55, Resulting Numbers: [43, 55]
Generated Node #0,2,2: 97:[43, 55] Operation: 90-35=55
Exploring Operation: 90+35=125, Resulting Numbers: [43, 125]
Generated Node #0,2,3: 97:[43, 125] Operation: 90+35=125
Moving to Node #0,1
Current State: 97:[35, 36, 97], Operations: ['7+90=97']
Exploring Operation: 35+97=132, Resulting Numbers: [36, 132]
Generated Node #0,1,0: 97:[36, 132] Operation: 35+97=132
Exploring Operation: 97-35=62, Resulting Numbers: [36, 62]
Generated Node #0,1,1: 97:[36, 62] Operation: 97-35=62
Exploring Operation: 35+36=71, Resulting Numbers: [97, 71]
Generated Node #0,1,2: 97:[97, 71] Operation: 35+36=71
Exploring Operation: 36-35=1, Resulting Numbers: [97, 1]
Generated Node #0,1,3: 97:[97, 1] Operation: 36-35=1
Moving to Node #0,3
Current State: 97:[7, 90, 71], Operations: ['35+36=71']
Exploring Operation: 71-7=64, Resulting Numbers: [90, 64]
Generated Node #0,3,0: 97:[90, 64] Operation: 71-7=64
Exploring Operation: 7+90=97, Resulting Numbers: [71, 97]
Generated Node #0,3,1: 97:[71, 97] Operation: 7+90=97
Exploring Operation: 7+71=78, Resulting Numbers: [90, 78]
Generated Node #0,3,2: 97:[90, 78] Operation: 7+71=78
Exploring Operation: 90-7=83, Resulting Numbers: [71, 83]
Generated Node #0,3,3: 97:[71, 83] Operation: 90-7=83
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[71, 97], Operations: ['35+36=71', '7+90=97']
Exploring Operation: 97-71=26, Resulting Numbers: [26]
26,97 unequal: No Solution
Exploring Operation: 71+97=168, Resulting Numbers: [168]
168,97 unequal: No Solution
Exploring Operation: 71*97=6887, Resulting Numbers: [6887]
6887,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 97:[90, 78], Operations: ['35+36=71', '7+71=78']
Exploring Operation: 90-78=12, Resulting Numbers: [12]
12,97 unequal: No Solution
Exploring Operation: 90*78=7020, Resulting Numbers: [7020]
7020,97 unequal: No Solution
Exploring Operation: 90+78=168, Resulting Numbers: [168]
168,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[90, 64], Operations: ['35+36=71', '71-7=64']
Exploring Operation: 90*64=5760, Resulting Numbers: [5760]
5760,97 unequal: No Solution
Exploring Operation: 90+64=154, Resulting Numbers: [154]
154,97 unequal: No Solution
Exploring Operation: 90-64=26, Resulting Numbers: [26]
26,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 97:[71, 83], Operations: ['35+36=71', '90-7=83']
Exploring Operation: 71*83=5893, Resulting Numbers: [5893]
5893,97 unequal: No Solution
Exploring Operation: 71+83=154, Resulting Numbers: [154]
154,97 unequal: No Solution
Exploring Operation: 83-71=12, Resulting Numbers: [12]
12,97 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: 97:[90, 78], Operations: ['7+35=42', '36+42=78']
Exploring Operation: 90+78=168, Resulting Numbers: [168]
168,97 unequal: No Solution
Exploring Operation: 90*78=7020, Resulting Numbers: [7020]
7020,97 unequal: No Solution
Exploring Operation: 90-78=12, Resulting Numbers: [12]
12,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[90, 78], Operations: ['7+36=43', '35+43=78']
Exploring Operation: 90+78=168, Resulting Numbers: [168]
168,97 unequal: No Solution
Exploring Operation: 90-78=12, Resulting Numbers: [12]
12,97 unequal: No Solution
Exploring Operation: 90*78=7020, Resulting Numbers: [7020]
7020,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[97, 71], Operations: ['7+90=97', '35+36=71']
Exploring Operation: 97+71=168, Resulting Numbers: [168]
168,97 unequal: No Solution
Exploring Operation: 97*71=6887, Resulting Numbers: [6887]
6887,97 unequal: No Solution
Exploring Operation: 97-71=26, Resulting Numbers: [26]
26,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[43, 125], Operations: ['7+36=43', '90+35=125']
Exploring Operation: 43+125=168, Resulting Numbers: [168]
168,97 unequal: No Solution
Exploring Operation: 125-43=82, Resulting Numbers: [82]
82,97 unequal: No Solution
Exploring Operation: 43*125=5375, Resulting Numbers: [5375]
5375,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[42, 126], Operations: ['7+35=42', '90+36=126']
Exploring Operation: 42*126=5292, Resulting Numbers: [5292]
5292,97 unequal: No Solution
Exploring Operation: 126-42=84, Resulting Numbers: [84]
84,97 unequal: No Solution
Exploring Operation: 42+126=168, Resulting Numbers: [168]
168,97 unequal: No Solution
Exploring Operation: 126/42=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[90, 8], Operations: ['7+36=43', '43-35=8']
Exploring Operation: 90*8=720, Resulting Numbers: [720]
720,97 unequal: No Solution
Exploring Operation: 90-8=82, Resulting Numbers: [82]
82,97 unequal: No Solution
Exploring Operation: 90+8=98, Resulting Numbers: [98]
98,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[36, 62], Operations: ['7+90=97', '97-35=62']
Exploring Operation: 36*62=2232, Resulting Numbers: [2232]
2232,97 unequal: No Solution
Exploring Operation: 36+62=98, Resulting Numbers: [98]
98,97 unequal: No Solution
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[36, 132], Operations: ['7+35=42', '90+42=132']
Exploring Operation: 36*132=4752, Resulting Numbers: [4752]
4752,97 unequal: No Solution
Exploring Operation: 132-36=96, Resulting Numbers: [96]
96,97 unequal: No Solution
Exploring Operation: 36+132=168, Resulting Numbers: [168]
168,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[36, 132], Operations: ['7+90=97', '35+97=132']
Exploring Operation: 132-36=96, Resulting Numbers: [96]
96,97 unequal: No Solution
Exploring Operation: 36+132=168, Resulting Numbers: [168]
168,97 unequal: No Solution
Exploring Operation: 36*132=4752, Resulting Numbers: [4752]
4752,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[43, 55], Operations: ['7+36=43', '90-35=55']
Exploring Operation: 43*55=2365, Resulting Numbers: [2365]
2365,97 unequal: No Solution
Exploring Operation: 55-43=12, Resulting Numbers: [12]
12,97 unequal: No Solution
Exploring Operation: 43+55=98, Resulting Numbers: [98]
98,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[97, 1], Operations: ['7+90=97', '36-35=1']
Exploring Operation: 97/1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[7, 90, 35, 36], Operations: []
Exploring Operation: 7+90=97, Resulting Numbers: [35, 36, 97]
Generated Node #0,1: 97:[35, 36, 97] Operation: 7+90=97
Moving to Node #0,1
Current State: 97:[35, 36, 97], Operations: ['7+90=97']
Exploring Operation: 36-35=1, Resulting Numbers: [97, 1]
Generated Node #0,1,3: 97:[97, 1] Operation: 36-35=1
Moving to Node #0,1,3
Current State: 97:[97, 1], Operations: ['7+90=97', '36-35=1']
Exploring Operation: 97/1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 0.940972 | hs_4 | mult_heuristic |
[
3,
68,
27,
68
] | 84 | [
"68/68=1",
"27+1=28",
"3*28=84"
] | Current State: 84:[3, 68, 27, 68], Operations: []
Exploring Operation: 68/68=1, Resulting Numbers: [3, 27, 1]
Generated Node #2: [3, 27, 1] from Operation: 68/68=1
Current State: 84:[3, 27, 1], Operations: ['68/68=1']
Exploring Operation: 27+1=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 27+1=28
Current State: 84:[3, 28], Operations: ['68/68=1', '27+1=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[3, 68, 27, 68], Operations: []
Exploring Operation: 68/68=1, Resulting Numbers: [3, 27, 1]
Generated Node #0,0: 84:[3, 27, 1] Operation: 68/68=1
Exploring Operation: 68-27=41, Resulting Numbers: [3, 68, 41]
Generated Node #0,1: 84:[3, 68, 41] Operation: 68-27=41
Exploring Operation: 68-27=41, Resulting Numbers: [3, 68, 41]
Generated Node #0,2: 84:[3, 68, 41] Operation: 68-27=41
Exploring Operation: 68-68=0, Resulting Numbers: [3, 27, 0]
Generated Node #0,3: 84:[3, 27, 0] Operation: 68-68=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[3, 27, 1], Operations: ['68/68=1']
Exploring Operation: 27+1=28, Resulting Numbers: [3, 28]
Generated Node #0,0,0: 84:[3, 28] Operation: 27+1=28
Exploring Operation: 3+1=4, Resulting Numbers: [27, 4]
Generated Node #0,0,1: 84:[27, 4] Operation: 3+1=4
Exploring Operation: 3*1=3, Resulting Numbers: [27, 3]
Generated Node #0,0,2: 84:[27, 3] Operation: 3*1=3
Exploring Operation: 3-1=2, Resulting Numbers: [27, 2]
Generated Node #0,0,3: 84:[27, 2] Operation: 3-1=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[3, 28], Operations: ['68/68=1', '27+1=28']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,84 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[3, 68, 27, 68], Operations: []
Exploring Operation: 68/68=1, Resulting Numbers: [3, 27, 1]
Generated Node #0,0: 84:[3, 27, 1] Operation: 68/68=1
Moving to Node #0,0
Current State: 84:[3, 27, 1], Operations: ['68/68=1']
Exploring Operation: 27+1=28, Resulting Numbers: [3, 28]
Generated Node #0,0,0: 84:[3, 28] Operation: 27+1=28
Moving to Node #0,0,0
Current State: 84:[3, 28], Operations: ['68/68=1', '27+1=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
4,
27,
86,
93
] | 56 | [
"27+93=120",
"120/4=30",
"86-30=56"
] | Current State: 56:[4, 27, 86, 93], Operations: []
Exploring Operation: 27+93=120, Resulting Numbers: [4, 86, 120]
Generated Node #2: [4, 86, 120] from Operation: 27+93=120
Current State: 56:[4, 86, 120], Operations: ['27+93=120']
Exploring Operation: 120/4=30, Resulting Numbers: [86, 30]
Generated Node #3: [86, 30] from Operation: 120/4=30
Current State: 56:[86, 30], Operations: ['27+93=120', '120/4=30']
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[4, 27, 86, 93], Operations: []
Exploring Operation: 93-86=7, Resulting Numbers: [4, 27, 7]
Generated Node #0,0: 56:[4, 27, 7] Operation: 93-86=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[4, 27, 7], Operations: ['93-86=7']
Exploring Operation: 4*7=28, Resulting Numbers: [27, 28]
Generated Node #0,0,0: 56:[27, 28] Operation: 4*7=28
Moving to Node #0,0,0
Current State: 56:[27, 28], Operations: ['93-86=7', '4*7=28']
Exploring Operation: 27+28=55, Resulting Numbers: [55]
55,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
12,
3,
79,
96
] | 74 | [
"96/12=8",
"3+79=82",
"82-8=74"
] | Current State: 74:[12, 3, 79, 96], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [3, 79, 8]
Generated Node #2: [3, 79, 8] from Operation: 96/12=8
Current State: 74:[3, 79, 8], Operations: ['96/12=8']
Exploring Operation: 3+79=82, Resulting Numbers: [8, 82]
Generated Node #3: [8, 82] from Operation: 3+79=82
Current State: 74:[8, 82], Operations: ['96/12=8', '3+79=82']
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[12, 3, 79, 96], Operations: []
Exploring Operation: 96/3=32, Resulting Numbers: [12, 79, 32]
Generated Node #0,0: 74:[12, 79, 32] Operation: 96/3=32
Exploring Operation: 96-12=84, Resulting Numbers: [3, 79, 84]
Generated Node #0,1: 74:[3, 79, 84] Operation: 96-12=84
Exploring Operation: 96/12=8, Resulting Numbers: [3, 79, 8]
Generated Node #0,2: 74:[3, 79, 8] Operation: 96/12=8
Moving to Node #0,2
Current State: 74:[3, 79, 8], Operations: ['96/12=8']
Exploring Operation: 79-3=76, Resulting Numbers: [8, 76]
Generated Node #0,2,0: 74:[8, 76] Operation: 79-3=76
Exploring Operation: 8-3=5, Resulting Numbers: [79, 5]
Generated Node #0,2,1: 74:[79, 5] Operation: 8-3=5
Exploring Operation: 79-8=71, Resulting Numbers: [3, 71]
Generated Node #0,2,2: 74:[3, 71] Operation: 79-8=71
Moving to Node #0,1
Current State: 74:[3, 79, 84], Operations: ['96-12=84']
Exploring Operation: 79-3=76, Resulting Numbers: [84, 76]
Generated Node #0,1,0: 74:[84, 76] Operation: 79-3=76
Exploring Operation: 84-3=81, Resulting Numbers: [79, 81]
Generated Node #0,1,1: 74:[79, 81] Operation: 84-3=81
Exploring Operation: 84-79=5, Resulting Numbers: [3, 5]
Generated Node #0,1,2: 74:[3, 5] Operation: 84-79=5
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 74:[3, 5], Operations: ['96-12=84', '84-79=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[84, 76], Operations: ['96-12=84', '79-3=76']
Exploring Operation: 84*76=6384, Resulting Numbers: [6384]
6384,74 unequal: No Solution
Exploring Operation: 84-76=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 84+76=160, Resulting Numbers: [160]
160,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 74:[79, 81], Operations: ['96-12=84', '84-3=81']
Exploring Operation: 81-79=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 79*81=6399, Resulting Numbers: [6399]
6399,74 unequal: No Solution
Exploring Operation: 79+81=160, Resulting Numbers: [160]
160,74 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: 74:[12, 79, 32], Operations: ['96/3=32']
Exploring Operation: 79-12=67, Resulting Numbers: [32, 67]
Generated Node #0,0,0: 74:[32, 67] Operation: 79-12=67
Exploring Operation: 12+32=44, Resulting Numbers: [79, 44]
Generated Node #0,0,1: 74:[79, 44] Operation: 12+32=44
Exploring Operation: 79-32=47, Resulting Numbers: [12, 47]
Generated Node #0,0,2: 74:[12, 47] Operation: 79-32=47
Moving to Node #0,2,2
Current State: 74:[3, 71], Operations: ['96/12=8', '79-8=71']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,74 unequal: No Solution
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[12, 3, 79, 96], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [3, 79, 8]
Generated Node #0,2: 74:[3, 79, 8] Operation: 96/12=8
Moving to Node #0,2
Current State: 74:[3, 79, 8], Operations: ['96/12=8']
Exploring Operation: 79-8=71, Resulting Numbers: [3, 71]
Generated Node #0,2,2: 74:[3, 71] Operation: 79-8=71
Moving to Node #0,2,2
Current State: 74:[3, 71], Operations: ['96/12=8', '79-8=71']
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
45,
9,
16,
6
] | 64 | [
"45+9=54",
"16-6=10",
"54+10=64"
] | Current State: 64:[45, 9, 16, 6], Operations: []
Exploring Operation: 45+9=54, Resulting Numbers: [16, 6, 54]
Generated Node #2: [16, 6, 54] from Operation: 45+9=54
Current State: 64:[16, 6, 54], Operations: ['45+9=54']
Exploring Operation: 16-6=10, Resulting Numbers: [54, 10]
Generated Node #3: [54, 10] from Operation: 16-6=10
Current State: 64:[54, 10], Operations: ['45+9=54', '16-6=10']
Exploring Operation: 54+10=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[45, 9, 16, 6], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [16, 6, 5]
Generated Node #0,0: 64:[16, 6, 5] Operation: 45/9=5
Exploring Operation: 45-9=36, Resulting Numbers: [16, 6, 36]
Generated Node #0,1: 64:[16, 6, 36] Operation: 45-9=36
Exploring Operation: 45+16=61, Resulting Numbers: [9, 6, 61]
Generated Node #0,2: 64:[9, 6, 61] Operation: 45+16=61
Exploring Operation: 45-16=29, Resulting Numbers: [9, 6, 29]
Generated Node #0,3: 64:[9, 6, 29] Operation: 45-16=29
Exploring Operation: 45-6=39, Resulting Numbers: [9, 16, 39]
Generated Node #0,4: 64:[9, 16, 39] Operation: 45-6=39
Moving to Node #0,0
Current State: 64:[16, 6, 5], Operations: ['45/9=5']
Exploring Operation: 6+5=11, Resulting Numbers: [16, 11]
Generated Node #0,0,0: 64:[16, 11] Operation: 6+5=11
Exploring Operation: 6*5=30, Resulting Numbers: [16, 30]
Generated Node #0,0,1: 64:[16, 30] Operation: 6*5=30
Exploring Operation: 16-5=11, Resulting Numbers: [6, 11]
Generated Node #0,0,2: 64:[6, 11] Operation: 16-5=11
Exploring Operation: 6-5=1, Resulting Numbers: [16, 1]
Generated Node #0,0,3: 64:[16, 1] Operation: 6-5=1
Exploring Operation: 16-6=10, Resulting Numbers: [5, 10]
Generated Node #0,0,4: 64:[5, 10] Operation: 16-6=10
Moving to Node #0,2
Current State: 64:[9, 6, 61], Operations: ['45+16=61']
Exploring Operation: 9+61=70, Resulting Numbers: [6, 70]
Generated Node #0,2,0: 64:[6, 70] Operation: 9+61=70
Exploring Operation: 61-6=55, Resulting Numbers: [9, 55]
Generated Node #0,2,1: 64:[9, 55] Operation: 61-6=55
Exploring Operation: 9-6=3, Resulting Numbers: [61, 3]
Generated Node #0,2,2: 64:[61, 3] Operation: 9-6=3
Exploring Operation: 6+61=67, Resulting Numbers: [9, 67]
Generated Node #0,2,3: 64:[9, 67] Operation: 6+61=67
Exploring Operation: 9+6=15, Resulting Numbers: [61, 15]
Generated Node #0,2,4: 64:[61, 15] Operation: 9+6=15
Moving to Node #0,1
Current State: 64:[16, 6, 36], Operations: ['45-9=36']
Exploring Operation: 16-6=10, Resulting Numbers: [36, 10]
Generated Node #0,1,0: 64:[36, 10] Operation: 16-6=10
Exploring Operation: 16+6=22, Resulting Numbers: [36, 22]
Generated Node #0,1,1: 64:[36, 22] Operation: 16+6=22
Exploring Operation: 36-16=20, Resulting Numbers: [6, 20]
Generated Node #0,1,2: 64:[6, 20] Operation: 36-16=20
Exploring Operation: 36/6=6, Resulting Numbers: [16, 6]
Generated Node #0,1,3: 64:[16, 6] Operation: 36/6=6
Exploring Operation: 36-6=30, Resulting Numbers: [16, 30]
Generated Node #0,1,4: 64:[16, 30] Operation: 36-6=30
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 64:[16, 6], Operations: ['45-9=36', '36/6=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,64 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 64:[16, 30], Operations: ['45-9=36', '36-6=30']
Exploring Operation: 16*30=480, Resulting Numbers: [480]
480,64 unequal: No Solution
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,64 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 64:[36, 10], Operations: ['45-9=36', '16-6=10']
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,64 unequal: No Solution
Exploring Operation: 36*10=360, Resulting Numbers: [360]
360,64 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 64:[6, 20], Operations: ['45-9=36', '36-16=20']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,64 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[36, 22], Operations: ['45-9=36', '16+6=22']
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 36*22=792, Resulting Numbers: [792]
792,64 unequal: No Solution
Exploring Operation: 36+22=58, Resulting Numbers: [58]
58,64 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: 64:[9, 6, 29], Operations: ['45-16=29']
Exploring Operation: 9+6=15, Resulting Numbers: [29, 15]
Generated Node #0,3,0: 64:[29, 15] Operation: 9+6=15
Exploring Operation: 6+29=35, Resulting Numbers: [9, 35]
Generated Node #0,3,1: 64:[9, 35] Operation: 6+29=35
Exploring Operation: 9+29=38, Resulting Numbers: [6, 38]
Generated Node #0,3,2: 64:[6, 38] Operation: 9+29=38
Exploring Operation: 9-6=3, Resulting Numbers: [29, 3]
Generated Node #0,3,3: 64:[29, 3] Operation: 9-6=3
Exploring Operation: 29-9=20, Resulting Numbers: [6, 20]
Generated Node #0,3,4: 64:[6, 20] Operation: 29-9=20
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 64:[29, 15], Operations: ['45-16=29', '9+6=15']
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 29*15=435, Resulting Numbers: [435]
435,64 unequal: No Solution
Exploring Operation: 29+15=44, Resulting Numbers: [44]
44,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 64:[9, 35], Operations: ['45-16=29', '6+29=35']
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 9*35=315, Resulting Numbers: [315]
315,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 64:[29, 3], Operations: ['45-16=29', '9-6=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,64 unequal: No Solution
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 64:[6, 20], Operations: ['45-16=29', '29-9=20']
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,64 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 64:[6, 38], Operations: ['45-16=29', '9+29=38']
Exploring Operation: 6+38=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 6*38=228, Resulting Numbers: [228]
228,64 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 64:[9, 16, 39], Operations: ['45-6=39']
Exploring Operation: 9+16=25, Resulting Numbers: [39, 25]
Generated Node #0,4,0: 64:[39, 25] Operation: 9+16=25
Exploring Operation: 16-9=7, Resulting Numbers: [39, 7]
Generated Node #0,4,1: 64:[39, 7] Operation: 16-9=7
Exploring Operation: 16+39=55, Resulting Numbers: [9, 55]
Generated Node #0,4,2: 64:[9, 55] Operation: 16+39=55
Exploring Operation: 39-16=23, Resulting Numbers: [9, 23]
Generated Node #0,4,3: 64:[9, 23] Operation: 39-16=23
Exploring Operation: 39-9=30, Resulting Numbers: [16, 30]
Generated Node #0,4,4: 64:[16, 30] Operation: 39-9=30
Moving to Node #0,0,3
Current State: 64:[16, 1], Operations: ['45/9=5', '6-5=1']
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[16, 30], Operations: ['45/9=5', '6*5=30']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,64 unequal: No Solution
Exploring Operation: 16*30=480, Resulting Numbers: [480]
480,64 unequal: No Solution
Moving to Node #0,4,4
Current State: 64:[16, 30], Operations: ['45-6=39', '39-9=30']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,64 unequal: No Solution
Exploring Operation: 16*30=480, Resulting Numbers: [480]
480,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[16, 11], Operations: ['45/9=5', '6+5=11']
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,64 unequal: No Solution
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Moving to Node #0,0,4
Current State: 64:[5, 10], Operations: ['45/9=5', '16-6=10']
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,64 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Moving to Node #0,2,3
Current State: 64:[9, 67], Operations: ['45+16=61', '6+61=67']
Exploring Operation: 9*67=603, Resulting Numbers: [603]
603,64 unequal: No Solution
Exploring Operation: 9+67=76, Resulting Numbers: [76]
76,64 unequal: No Solution
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[61, 3], Operations: ['45+16=61', '9-6=3']
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[45, 9, 16, 6], Operations: []
Exploring Operation: 45+16=61, Resulting Numbers: [9, 6, 61]
Generated Node #0,2: 64:[9, 6, 61] Operation: 45+16=61
Moving to Node #0,2
Current State: 64:[9, 6, 61], Operations: ['45+16=61']
Exploring Operation: 9-6=3, Resulting Numbers: [61, 3]
Generated Node #0,2,2: 64:[61, 3] Operation: 9-6=3
Moving to Node #0,2,2
Current State: 64:[61, 3], Operations: ['45+16=61', '9-6=3']
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 0.926215 | hs_5 | sum_heuristic |
[
56,
9,
60,
68
] | 48 | [
"68-56=12",
"9*12=108",
"108-60=48"
] | Current State: 48:[56, 9, 60, 68], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [9, 60, 12]
Generated Node #2: [9, 60, 12] from Operation: 68-56=12
Current State: 48:[9, 60, 12], Operations: ['68-56=12']
Exploring Operation: 9*12=108, Resulting Numbers: [60, 108]
Generated Node #3: [60, 108] from Operation: 9*12=108
Current State: 48:[60, 108], Operations: ['68-56=12', '9*12=108']
Exploring Operation: 108-60=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[56, 9, 60, 68], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [9, 60, 12]
Generated Node #0,0: 48:[9, 60, 12] Operation: 68-56=12
Exploring Operation: 68-60=8, Resulting Numbers: [56, 9, 8]
Generated Node #0,1: 48:[56, 9, 8] Operation: 68-60=8
Exploring Operation: 68-9=59, Resulting Numbers: [56, 60, 59]
Generated Node #0,2: 48:[56, 60, 59] Operation: 68-9=59
Exploring Operation: 60-56=4, Resulting Numbers: [9, 68, 4]
Generated Node #0,3: 48:[9, 68, 4] Operation: 60-56=4
Exploring Operation: 60-9=51, Resulting Numbers: [56, 68, 51]
Generated Node #0,4: 48:[56, 68, 51] Operation: 60-9=51
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[56, 9, 8], Operations: ['68-60=8']
Exploring Operation: 9-8=1, Resulting Numbers: [56, 1]
Generated Node #0,1,0: 48:[56, 1] Operation: 9-8=1
Exploring Operation: 56-9=47, Resulting Numbers: [8, 47]
Generated Node #0,1,1: 48:[8, 47] Operation: 56-9=47
Exploring Operation: 56/8=7, Resulting Numbers: [9, 7]
Generated Node #0,1,2: 48:[9, 7] Operation: 56/8=7
Exploring Operation: 56-8=48, Resulting Numbers: [9, 48]
Generated Node #0,1,3: 48:[9, 48] Operation: 56-8=48
Exploring Operation: 9+8=17, Resulting Numbers: [56, 17]
Generated Node #0,1,4: 48:[56, 17] Operation: 9+8=17
Moving to Node #0,1,1
Current State: 48:[8, 47], Operations: ['68-60=8', '56-9=47']
Exploring Operation: 8+47=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 8*47=376, Resulting Numbers: [376]
376,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[9, 48], Operations: ['68-60=8', '56-8=48']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 9*48=432, Resulting Numbers: [432]
432,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[9, 7], Operations: ['68-60=8', '56/8=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[56, 1], Operations: ['68-60=8', '9-8=1']
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Moving to Node #0,1,4
Current State: 48:[56, 17], Operations: ['68-60=8', '9+8=17']
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,48 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[9, 60, 12], Operations: ['68-56=12']
Exploring Operation: 12-9=3, Resulting Numbers: [60, 3]
Generated Node #0,0,0: 48:[60, 3] Operation: 12-9=3
Exploring Operation: 60-9=51, Resulting Numbers: [12, 51]
Generated Node #0,0,1: 48:[12, 51] Operation: 60-9=51
Exploring Operation: 60/12=5, Resulting Numbers: [9, 5]
Generated Node #0,0,2: 48:[9, 5] Operation: 60/12=5
Exploring Operation: 60-12=48, Resulting Numbers: [9, 48]
Generated Node #0,0,3: 48:[9, 48] Operation: 60-12=48
Exploring Operation: 9+12=21, Resulting Numbers: [60, 21]
Generated Node #0,0,4: 48:[60, 21] Operation: 9+12=21
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 48:[9, 48], Operations: ['68-56=12', '60-12=48']
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 9*48=432, Resulting Numbers: [432]
432,48 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 48:[9, 5], Operations: ['68-56=12', '60/12=5']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,48 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[12, 51], Operations: ['68-56=12', '60-9=51']
Exploring Operation: 12+51=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 12*51=612, Resulting Numbers: [612]
612,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[60, 3], Operations: ['68-56=12', '12-9=3']
Exploring Operation: 60*3=180, Resulting Numbers: [180]
180,48 unequal: No Solution
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 48:[60, 21], Operations: ['68-56=12', '9+12=21']
Exploring Operation: 60+21=81, Resulting Numbers: [81]
81,48 unequal: No Solution
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 60*21=1260, Resulting Numbers: [1260]
1260,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 48:[9, 68, 4], Operations: ['60-56=4']
Exploring Operation: 9+4=13, Resulting Numbers: [68, 13]
Generated Node #0,3,0: 48:[68, 13] Operation: 9+4=13
Exploring Operation: 9-4=5, Resulting Numbers: [68, 5]
Generated Node #0,3,1: 48:[68, 5] Operation: 9-4=5
Exploring Operation: 68/4=17, Resulting Numbers: [9, 17]
Generated Node #0,3,2: 48:[9, 17] Operation: 68/4=17
Exploring Operation: 68-9=59, Resulting Numbers: [4, 59]
Generated Node #0,3,3: 48:[4, 59] Operation: 68-9=59
Exploring Operation: 68-4=64, Resulting Numbers: [9, 64]
Generated Node #0,3,4: 48:[9, 64] Operation: 68-4=64
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 48:[9, 17], Operations: ['60-56=4', '68/4=17']
Exploring Operation: 9+17=26, Resulting Numbers: [26]
26,48 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 9*17=153, Resulting Numbers: [153]
153,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 48:[4, 59], Operations: ['60-56=4', '68-9=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 4*59=236, Resulting Numbers: [236]
236,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 48:[9, 64], Operations: ['60-56=4', '68-4=64']
Exploring Operation: 9+64=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 9*64=576, Resulting Numbers: [576]
576,48 unequal: No Solution
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 48:[68, 13], Operations: ['60-56=4', '9+4=13']
Exploring Operation: 68+13=81, Resulting Numbers: [81]
81,48 unequal: No Solution
Exploring Operation: 68*13=884, Resulting Numbers: [884]
884,48 unequal: No Solution
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 48:[68, 5], Operations: ['60-56=4', '9-4=5']
Exploring Operation: 68*5=340, Resulting Numbers: [340]
340,48 unequal: No Solution
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 68+5=73, Resulting Numbers: [73]
73,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[56, 60, 59], Operations: ['68-9=59']
Exploring Operation: 60-56=4, Resulting Numbers: [59, 4]
Generated Node #0,2,0: 48:[59, 4] Operation: 60-56=4
Exploring Operation: 60-59=1, Resulting Numbers: [56, 1]
Generated Node #0,2,1: 48:[56, 1] Operation: 60-59=1
Exploring Operation: 59-56=3, Resulting Numbers: [60, 3]
Generated Node #0,2,2: 48:[60, 3] Operation: 59-56=3
Exploring Operation: 56+60=116, Resulting Numbers: [59, 116]
Generated Node #0,2,3: 48:[59, 116] Operation: 56+60=116
Exploring Operation: 56+59=115, Resulting Numbers: [60, 115]
Generated Node #0,2,4: 48:[60, 115] Operation: 56+59=115
Moving to Node #0,2,1
Current State: 48:[56, 1], Operations: ['68-9=59', '60-59=1']
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Moving to Node #0,2,0
Current State: 48:[59, 4], Operations: ['68-9=59', '60-56=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,48 unequal: No Solution
Moving to Node #0,2,2
Current State: 48:[60, 3], Operations: ['68-9=59', '59-56=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 60*3=180, Resulting Numbers: [180]
180,48 unequal: No Solution
Moving to Node #0,2,3
Current State: 48:[59, 116], Operations: ['68-9=59', '56+60=116']
Exploring Operation: 59+116=175, Resulting Numbers: [175]
175,48 unequal: No Solution
Exploring Operation: 116-59=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 59*116=6844, Resulting Numbers: [6844]
6844,48 unequal: No Solution
Moving to Node #0,2,4
Current State: 48:[60, 115], Operations: ['68-9=59', '56+59=115']
Exploring Operation: 60+115=175, Resulting Numbers: [175]
175,48 unequal: No Solution
Exploring Operation: 115-60=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 60*115=6900, Resulting Numbers: [6900]
6900,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 48:[56, 68, 51], Operations: ['60-9=51']
Exploring Operation: 56+51=107, Resulting Numbers: [68, 107]
Generated Node #0,4,0: 48:[68, 107] Operation: 56+51=107
Exploring Operation: 56-51=5, Resulting Numbers: [68, 5]
Generated Node #0,4,1: 48:[68, 5] Operation: 56-51=5
Exploring Operation: 68-56=12, Resulting Numbers: [51, 12]
Generated Node #0,4,2: 48:[51, 12] Operation: 68-56=12
Exploring Operation: 56+68=124, Resulting Numbers: [51, 124]
Generated Node #0,4,3: 48:[51, 124] Operation: 56+68=124
Exploring Operation: 68-51=17, Resulting Numbers: [56, 17]
Generated Node #0,4,4: 48:[56, 17] Operation: 68-51=17
Moving to Node #0,4,2
Current State: 48:[51, 12], Operations: ['60-9=51', '68-56=12']
Exploring Operation: 51*12=612, Resulting Numbers: [612]
612,48 unequal: No Solution
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 51+12=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Moving to Node #0,4,4
Current State: 48:[56, 17], Operations: ['60-9=51', '68-51=17']
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,48 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Moving to Node #0,4,1
Current State: 48:[68, 5], Operations: ['60-9=51', '56-51=5']
Exploring Operation: 68+5=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 68*5=340, Resulting Numbers: [340]
340,48 unequal: No Solution
Moving to Node #0,4,0
Current State: 48:[68, 107], Operations: ['60-9=51', '56+51=107']
Exploring Operation: 107-68=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 68+107=175, Resulting Numbers: [175]
175,48 unequal: No Solution
Exploring Operation: 68*107=7276, Resulting Numbers: [7276]
7276,48 unequal: No Solution
Moving to Node #0,4,3
Current State: 48:[51, 124], Operations: ['60-9=51', '56+68=124']
Exploring Operation: 51+124=175, Resulting Numbers: [175]
175,48 unequal: No Solution
Exploring Operation: 124-51=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 51*124=6324, Resulting Numbers: [6324]
6324,48 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 |
[
10,
75,
6,
56
] | 76 | [
"10-6=4",
"75-56=19",
"4*19=76"
] | Current State: 76:[10, 75, 6, 56], Operations: []
Exploring Operation: 10-6=4, Resulting Numbers: [75, 56, 4]
Generated Node #2: [75, 56, 4] from Operation: 10-6=4
Current State: 76:[75, 56, 4], Operations: ['10-6=4']
Exploring Operation: 75-56=19, Resulting Numbers: [4, 19]
Generated Node #3: [4, 19] from Operation: 75-56=19
Current State: 76:[4, 19], Operations: ['10-6=4', '75-56=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[10, 75, 6, 56], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [10, 6, 19]
Generated Node #0,0: 76:[10, 6, 19] Operation: 75-56=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[10, 6, 19], Operations: ['75-56=19']
Exploring Operation: 10-6=4, Resulting Numbers: [19, 4]
Generated Node #0,0,0: 76:[19, 4] Operation: 10-6=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[19, 4], Operations: ['75-56=19', '10-6=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[10, 75, 6, 56], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [10, 6, 19]
Generated Node #0,0: 76:[10, 6, 19] Operation: 75-56=19
Moving to Node #0,0
Current State: 76:[10, 6, 19], Operations: ['75-56=19']
Exploring Operation: 10-6=4, Resulting Numbers: [19, 4]
Generated Node #0,0,0: 76:[19, 4] Operation: 10-6=4
Moving to Node #0,0,0
Current State: 76:[19, 4], Operations: ['75-56=19', '10-6=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
11,
6,
30,
13
] | 33 | [
"13-11=2",
"6/2=3",
"30+3=33"
] | Current State: 33:[11, 6, 30, 13], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [6, 30, 2]
Generated Node #2: [6, 30, 2] from Operation: 13-11=2
Current State: 33:[6, 30, 2], Operations: ['13-11=2']
Exploring Operation: 6/2=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 6/2=3
Current State: 33:[30, 3], Operations: ['13-11=2', '6/2=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[11, 6, 30, 13], Operations: []
Exploring Operation: 30/6=5, Resulting Numbers: [11, 13, 5]
Generated Node #0,0: 33:[11, 13, 5] Operation: 30/6=5
Exploring Operation: 6+30=36, Resulting Numbers: [11, 13, 36]
Generated Node #0,1: 33:[11, 13, 36] Operation: 6+30=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[11, 13, 5], Operations: ['30/6=5']
Exploring Operation: 13-11=2, Resulting Numbers: [5, 2]
Generated Node #0,0,0: 33:[5, 2] Operation: 13-11=2
Exploring Operation: 13-5=8, Resulting Numbers: [11, 8]
Generated Node #0,0,1: 33:[11, 8] Operation: 13-5=8
Moving to Node #0,0,0
Current State: 33:[5, 2], Operations: ['30/6=5', '13-11=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[11, 8], Operations: ['30/6=5', '13-5=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[11, 13, 36], Operations: ['6+30=36']
Exploring Operation: 36-11=25, Resulting Numbers: [13, 25]
Generated Node #0,1,0: 33:[13, 25] Operation: 36-11=25
Exploring Operation: 13-11=2, Resulting Numbers: [36, 2]
Generated Node #0,1,1: 33:[36, 2] Operation: 13-11=2
Moving to Node #0,1,1
Current State: 33:[36, 2], Operations: ['6+30=36', '13-11=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[13, 25], Operations: ['6+30=36', '36-11=25']
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,33 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 |
[
43,
75,
18,
23
] | 77 | [
"43+75=118",
"18+23=41",
"118-41=77"
] | Current State: 77:[43, 75, 18, 23], Operations: []
Exploring Operation: 43+75=118, Resulting Numbers: [18, 23, 118]
Generated Node #2: [18, 23, 118] from Operation: 43+75=118
Current State: 77:[18, 23, 118], Operations: ['43+75=118']
Exploring Operation: 18+23=41, Resulting Numbers: [118, 41]
Generated Node #3: [118, 41] from Operation: 18+23=41
Current State: 77:[118, 41], Operations: ['43+75=118', '18+23=41']
Exploring Operation: 118-41=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[43, 75, 18, 23], Operations: []
Exploring Operation: 43+23=66, Resulting Numbers: [75, 18, 66]
Generated Node #0,0: 77:[75, 18, 66] Operation: 43+23=66
Exploring Operation: 43-23=20, Resulting Numbers: [75, 18, 20]
Generated Node #0,1: 77:[75, 18, 20] Operation: 43-23=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[75, 18, 20], Operations: ['43-23=20']
Exploring Operation: 20-18=2, Resulting Numbers: [75, 2]
Generated Node #0,1,0: 77:[75, 2] Operation: 20-18=2
Exploring Operation: 75+18=93, Resulting Numbers: [20, 93]
Generated Node #0,1,1: 77:[20, 93] Operation: 75+18=93
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 77:[75, 2], Operations: ['43-23=20', '20-18=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[43, 75, 18, 23], Operations: []
Exploring Operation: 43-23=20, Resulting Numbers: [75, 18, 20]
Generated Node #0,1: 77:[75, 18, 20] Operation: 43-23=20
Moving to Node #0,1
Current State: 77:[75, 18, 20], Operations: ['43-23=20']
Exploring Operation: 20-18=2, Resulting Numbers: [75, 2]
Generated Node #0,1,0: 77:[75, 2] Operation: 20-18=2
Moving to Node #0,1,0
Current State: 77:[75, 2], Operations: ['43-23=20', '20-18=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
74,
12,
39,
78
] | 60 | [
"74-12=62",
"78/39=2",
"62-2=60"
] | Current State: 60:[74, 12, 39, 78], Operations: []
Exploring Operation: 74-12=62, Resulting Numbers: [39, 78, 62]
Generated Node #2: [39, 78, 62] from Operation: 74-12=62
Current State: 60:[39, 78, 62], Operations: ['74-12=62']
Exploring Operation: 78/39=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 78/39=2
Current State: 60:[62, 2], Operations: ['74-12=62', '78/39=2']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[74, 12, 39, 78], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [74, 12, 2]
Generated Node #0,0: 60:[74, 12, 2] Operation: 78/39=2
Exploring Operation: 74-39=35, Resulting Numbers: [12, 78, 35]
Generated Node #0,1: 60:[12, 78, 35] Operation: 74-39=35
Exploring Operation: 78-74=4, Resulting Numbers: [12, 39, 4]
Generated Node #0,2: 60:[12, 39, 4] Operation: 78-74=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[12, 39, 4], Operations: ['78-74=4']
Exploring Operation: 39-4=35, Resulting Numbers: [12, 35]
Generated Node #0,2,0: 60:[12, 35] Operation: 39-4=35
Exploring Operation: 39-12=27, Resulting Numbers: [4, 27]
Generated Node #0,2,1: 60:[4, 27] Operation: 39-12=27
Exploring Operation: 12+39=51, Resulting Numbers: [4, 51]
Generated Node #0,2,2: 60:[4, 51] Operation: 12+39=51
Moving to Node #0,2,1
Current State: 60:[4, 27], Operations: ['78-74=4', '39-12=27']
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,60 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,60 unequal: No Solution
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,60 unequal: No Solution
Moving to Node #0,2,0
Current State: 60:[12, 35], Operations: ['78-74=4', '39-4=35']
Exploring Operation: 12*35=420, Resulting Numbers: [420]
420,60 unequal: No Solution
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,60 unequal: No Solution
Exploring Operation: 12+35=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[4, 51], Operations: ['78-74=4', '12+39=51']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 4*51=204, Resulting Numbers: [204]
204,60 unequal: No Solution
Exploring Operation: 4+51=55, Resulting Numbers: [55]
55,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[74, 12, 2], Operations: ['78/39=2']
Exploring Operation: 74/2=37, Resulting Numbers: [12, 37]
Generated Node #0,0,0: 60:[12, 37] Operation: 74/2=37
Exploring Operation: 74-12=62, Resulting Numbers: [2, 62]
Generated Node #0,0,1: 60:[2, 62] Operation: 74-12=62
Exploring Operation: 74-2=72, Resulting Numbers: [12, 72]
Generated Node #0,0,2: 60:[12, 72] Operation: 74-2=72
Moving to Node #0,0,1
Current State: 60:[2, 62], Operations: ['78/39=2', '74-12=62']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[74, 12, 39, 78], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [74, 12, 2]
Generated Node #0,0: 60:[74, 12, 2] Operation: 78/39=2
Moving to Node #0,0
Current State: 60:[74, 12, 2], Operations: ['78/39=2']
Exploring Operation: 74-12=62, Resulting Numbers: [2, 62]
Generated Node #0,0,1: 60:[2, 62] Operation: 74-12=62
Moving to Node #0,0,1
Current State: 60:[2, 62], Operations: ['78/39=2', '74-12=62']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
96,
16,
96,
48
] | 33 | [
"96/96=1",
"48-16=32",
"1+32=33"
] | Current State: 33:[96, 16, 96, 48], Operations: []
Exploring Operation: 96/96=1, Resulting Numbers: [16, 48, 1]
Generated Node #2: [16, 48, 1] from Operation: 96/96=1
Current State: 33:[16, 48, 1], Operations: ['96/96=1']
Exploring Operation: 48-16=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 48-16=32
Current State: 33:[1, 32], Operations: ['96/96=1', '48-16=32']
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[96, 16, 96, 48], Operations: []
Exploring Operation: 96/96=1, Resulting Numbers: [16, 48, 1]
Generated Node #0,0: 33:[16, 48, 1] Operation: 96/96=1
Moving to Node #0,0
Current State: 33:[16, 48, 1], Operations: ['96/96=1']
Exploring Operation: 48/16=3, Resulting Numbers: [1, 3]
Generated Node #0,0,0: 33:[1, 3] Operation: 48/16=3
Moving to Node #0,0,0
Current State: 33:[1, 3], Operations: ['96/96=1', '48/16=3']
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,33 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
56,
48,
44,
9
] | 64 | [
"56-44=12",
"48*12=576",
"576/9=64"
] | Current State: 64:[56, 48, 44, 9], Operations: []
Exploring Operation: 56-44=12, Resulting Numbers: [48, 9, 12]
Generated Node #2: [48, 9, 12] from Operation: 56-44=12
Current State: 64:[48, 9, 12], Operations: ['56-44=12']
Exploring Operation: 48*12=576, Resulting Numbers: [9, 576]
Generated Node #3: [9, 576] from Operation: 48*12=576
Current State: 64:[9, 576], Operations: ['56-44=12', '48*12=576']
Exploring Operation: 576/9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[56, 48, 44, 9], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [56, 9, 4]
Generated Node #0,0: 64:[56, 9, 4] Operation: 48-44=4
Moving to Node #0,0
Current State: 64:[56, 9, 4], Operations: ['48-44=4']
Exploring Operation: 56+9=65, Resulting Numbers: [4, 65]
Generated Node #0,0,0: 64:[4, 65] Operation: 56+9=65
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[4, 65], Operations: ['48-44=4', '56+9=65']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,64 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 |
[
51,
3,
75,
85
] | 27 | [
"51/3=17",
"85-75=10",
"17+10=27"
] | Current State: 27:[51, 3, 75, 85], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [75, 85, 17]
Generated Node #2: [75, 85, 17] from Operation: 51/3=17
Current State: 27:[75, 85, 17], Operations: ['51/3=17']
Exploring Operation: 85-75=10, Resulting Numbers: [17, 10]
Generated Node #3: [17, 10] from Operation: 85-75=10
Current State: 27:[17, 10], Operations: ['51/3=17', '85-75=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[51, 3, 75, 85], Operations: []
Exploring Operation: 85-51=34, Resulting Numbers: [3, 75, 34]
Generated Node #0,0: 27:[3, 75, 34] Operation: 85-51=34
Exploring Operation: 75/3=25, Resulting Numbers: [51, 85, 25]
Generated Node #0,1: 27:[51, 85, 25] Operation: 75/3=25
Exploring Operation: 75-51=24, Resulting Numbers: [3, 85, 24]
Generated Node #0,2: 27:[3, 85, 24] Operation: 75-51=24
Exploring Operation: 85-75=10, Resulting Numbers: [51, 3, 10]
Generated Node #0,3: 27:[51, 3, 10] Operation: 85-75=10
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[51, 3, 10], Operations: ['85-75=10']
Exploring Operation: 51/3=17, Resulting Numbers: [10, 17]
Generated Node #0,3,0: 27:[10, 17] Operation: 51/3=17
Exploring Operation: 10-3=7, Resulting Numbers: [51, 7]
Generated Node #0,3,1: 27:[51, 7] Operation: 10-3=7
Exploring Operation: 51-10=41, Resulting Numbers: [3, 41]
Generated Node #0,3,2: 27:[3, 41] Operation: 51-10=41
Exploring Operation: 51-3=48, Resulting Numbers: [10, 48]
Generated Node #0,3,3: 27:[10, 48] Operation: 51-3=48
Moving to Node #0,3,0
Current State: 27:[10, 17], Operations: ['85-75=10', '51/3=17']
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,27 unequal: No Solution
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[51, 3, 75, 85], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [51, 3, 10]
Generated Node #0,3: 27:[51, 3, 10] Operation: 85-75=10
Moving to Node #0,3
Current State: 27:[51, 3, 10], Operations: ['85-75=10']
Exploring Operation: 51/3=17, Resulting Numbers: [10, 17]
Generated Node #0,3,0: 27:[10, 17] Operation: 51/3=17
Moving to Node #0,3,0
Current State: 27:[10, 17], Operations: ['85-75=10', '51/3=17']
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
36,
40,
3,
38
] | 83 | [
"38-36=2",
"40*2=80",
"3+80=83"
] | Current State: 83:[36, 40, 3, 38], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [40, 3, 2]
Generated Node #2: [40, 3, 2] from Operation: 38-36=2
Current State: 83:[40, 3, 2], Operations: ['38-36=2']
Exploring Operation: 40*2=80, Resulting Numbers: [3, 80]
Generated Node #3: [3, 80] from Operation: 40*2=80
Current State: 83:[3, 80], Operations: ['38-36=2', '40*2=80']
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[36, 40, 3, 38], Operations: []
Exploring Operation: 36*3=108, Resulting Numbers: [40, 38, 108]
Generated Node #0,0: 83:[40, 38, 108] Operation: 36*3=108
Exploring Operation: 3*38=114, Resulting Numbers: [36, 40, 114]
Generated Node #0,1: 83:[36, 40, 114] Operation: 3*38=114
Exploring Operation: 40*3=120, Resulting Numbers: [36, 38, 120]
Generated Node #0,2: 83:[36, 38, 120] Operation: 40*3=120
Exploring Operation: 36+40=76, Resulting Numbers: [3, 38, 76]
Generated Node #0,3: 83:[3, 38, 76] Operation: 36+40=76
Moving to Node #0,0
Current State: 83:[40, 38, 108], Operations: ['36*3=108']
Exploring Operation: 40+38=78, Resulting Numbers: [108, 78]
Generated Node #0,0,0: 83:[108, 78] Operation: 40+38=78
Exploring Operation: 108-38=70, Resulting Numbers: [40, 70]
Generated Node #0,0,1: 83:[40, 70] Operation: 108-38=70
Exploring Operation: 108-40=68, Resulting Numbers: [38, 68]
Generated Node #0,0,2: 83:[38, 68] Operation: 108-40=68
Exploring Operation: 40-38=2, Resulting Numbers: [108, 2]
Generated Node #0,0,3: 83:[108, 2] Operation: 40-38=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[108, 78], Operations: ['36*3=108', '40+38=78']
Exploring Operation: 108-78=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 108*78=8424, Resulting Numbers: [8424]
8424,83 unequal: No Solution
Exploring Operation: 108+78=186, Resulting Numbers: [186]
186,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[40, 70], Operations: ['36*3=108', '108-38=70']
Exploring Operation: 40+70=110, Resulting Numbers: [110]
110,83 unequal: No Solution
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 40*70=2800, Resulting Numbers: [2800]
2800,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[38, 68], Operations: ['36*3=108', '108-40=68']
Exploring Operation: 38*68=2584, Resulting Numbers: [2584]
2584,83 unequal: No Solution
Exploring Operation: 68-38=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 38+68=106, Resulting Numbers: [106]
106,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 83:[108, 2], Operations: ['36*3=108', '40-38=2']
Exploring Operation: 108*2=216, Resulting Numbers: [216]
216,83 unequal: No Solution
Exploring Operation: 108/2=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 108+2=110, Resulting Numbers: [110]
110,83 unequal: No Solution
Exploring Operation: 108-2=106, Resulting Numbers: [106]
106,83 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:[36, 40, 114], Operations: ['3*38=114']
Exploring Operation: 40-36=4, Resulting Numbers: [114, 4]
Generated Node #0,1,0: 83:[114, 4] Operation: 40-36=4
Exploring Operation: 36+40=76, Resulting Numbers: [114, 76]
Generated Node #0,1,1: 83:[114, 76] Operation: 36+40=76
Exploring Operation: 114-36=78, Resulting Numbers: [40, 78]
Generated Node #0,1,2: 83:[40, 78] Operation: 114-36=78
Exploring Operation: 114-40=74, Resulting Numbers: [36, 74]
Generated Node #0,1,3: 83:[36, 74] Operation: 114-40=74
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[114, 76], Operations: ['3*38=114', '36+40=76']
Exploring Operation: 114*76=8664, Resulting Numbers: [8664]
8664,83 unequal: No Solution
Exploring Operation: 114-76=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 114+76=190, Resulting Numbers: [190]
190,83 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:[40, 78], Operations: ['3*38=114', '114-36=78']
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 40*78=3120, Resulting Numbers: [3120]
3120,83 unequal: No Solution
Exploring Operation: 40+78=118, Resulting Numbers: [118]
118,83 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:[36, 74], Operations: ['3*38=114', '114-40=74']
Exploring Operation: 36*74=2664, Resulting Numbers: [2664]
2664,83 unequal: No Solution
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 36+74=110, Resulting Numbers: [110]
110,83 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:[114, 4], Operations: ['3*38=114', '40-36=4']
Exploring Operation: 114*4=456, Resulting Numbers: [456]
456,83 unequal: No Solution
Exploring Operation: 114-4=110, Resulting Numbers: [110]
110,83 unequal: No Solution
Exploring Operation: 114+4=118, Resulting Numbers: [118]
118,83 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:[36, 38, 120], Operations: ['40*3=120']
Exploring Operation: 120-36=84, Resulting Numbers: [38, 84]
Generated Node #0,2,0: 83:[38, 84] Operation: 120-36=84
Exploring Operation: 38-36=2, Resulting Numbers: [120, 2]
Generated Node #0,2,1: 83:[120, 2] Operation: 38-36=2
Exploring Operation: 36+38=74, Resulting Numbers: [120, 74]
Generated Node #0,2,2: 83:[120, 74] Operation: 36+38=74
Exploring Operation: 120-38=82, Resulting Numbers: [36, 82]
Generated Node #0,2,3: 83:[36, 82] Operation: 120-38=82
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 83:[38, 84], Operations: ['40*3=120', '120-36=84']
Exploring Operation: 38+84=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Exploring Operation: 38*84=3192, Resulting Numbers: [3192]
3192,83 unequal: No Solution
Exploring Operation: 84-38=46, Resulting Numbers: [46]
46,83 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:[120, 74], Operations: ['40*3=120', '36+38=74']
Exploring Operation: 120*74=8880, Resulting Numbers: [8880]
8880,83 unequal: No Solution
Exploring Operation: 120-74=46, Resulting Numbers: [46]
46,83 unequal: No Solution
Exploring Operation: 120+74=194, Resulting Numbers: [194]
194,83 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:[36, 82], Operations: ['40*3=120', '120-38=82']
Exploring Operation: 36*82=2952, Resulting Numbers: [2952]
2952,83 unequal: No Solution
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,83 unequal: No Solution
Exploring Operation: 36+82=118, Resulting Numbers: [118]
118,83 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 #0,2,1
Current State: 83:[120, 2], Operations: ['40*3=120', '38-36=2']
Exploring Operation: 120+2=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Exploring Operation: 120-2=118, Resulting Numbers: [118]
118,83 unequal: No Solution
Exploring Operation: 120/2=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 120*2=240, Resulting Numbers: [240]
240,83 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:[3, 38, 76], Operations: ['36+40=76']
Exploring Operation: 3+38=41, Resulting Numbers: [76, 41]
Generated Node #0,3,0: 83:[76, 41] Operation: 3+38=41
Exploring Operation: 3*38=114, Resulting Numbers: [76, 114]
Generated Node #0,3,1: 83:[76, 114] Operation: 3*38=114
Exploring Operation: 3+76=79, Resulting Numbers: [38, 79]
Generated Node #0,3,2: 83:[38, 79] Operation: 3+76=79
Exploring Operation: 38-3=35, Resulting Numbers: [76, 35]
Generated Node #0,3,3: 83:[76, 35] Operation: 38-3=35
Moving to Node #0,3,1
Current State: 83:[76, 114], Operations: ['36+40=76', '3*38=114']
Exploring Operation: 114-76=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 76+114=190, Resulting Numbers: [190]
190,83 unequal: No Solution
Exploring Operation: 76*114=8664, Resulting Numbers: [8664]
8664,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[38, 79], Operations: ['36+40=76', '3+76=79']
Exploring Operation: 38*79=3002, Resulting Numbers: [3002]
3002,83 unequal: No Solution
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,83 unequal: No Solution
Exploring Operation: 38+79=117, Resulting Numbers: [117]
117,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[76, 41], Operations: ['36+40=76', '3+38=41']
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,83 unequal: No Solution
Exploring Operation: 76+41=117, Resulting Numbers: [117]
117,83 unequal: No Solution
Exploring Operation: 76*41=3116, Resulting Numbers: [3116]
3116,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[76, 35], Operations: ['36+40=76', '38-3=35']
Exploring Operation: 76*35=2660, Resulting Numbers: [2660]
2660,83 unequal: No Solution
Exploring Operation: 76+35=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,83 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
1,
88,
89,
86
] | 86 | [
"1+88=89",
"89+86=175",
"175-89=86"
] | Current State: 86:[1, 88, 89, 86], Operations: []
Exploring Operation: 1+88=89, Resulting Numbers: [89, 86, 89]
Generated Node #2: [89, 86, 89] from Operation: 1+88=89
Current State: 86:[89, 86, 89], Operations: ['1+88=89']
Exploring Operation: 89+86=175, Resulting Numbers: [175]
175,86 equal: Goal Reached
Exploring Operation: 175-89=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[1, 88, 89, 86], Operations: []
Exploring Operation: 89-1=88, Resulting Numbers: [88, 86, 88]
Generated Node #0,0: 86:[88, 86, 88] Operation: 89-1=88
Exploring Operation: 89-86=3, Resulting Numbers: [1, 88, 3]
Generated Node #0,1: 86:[1, 88, 3] Operation: 89-86=3
Exploring Operation: 88-1=87, Resulting Numbers: [89, 86, 87]
Generated Node #0,2: 86:[89, 86, 87] Operation: 88-1=87
Exploring Operation: 89-88=1, Resulting Numbers: [1, 86, 1]
Generated Node #0,3: 86:[1, 86, 1] Operation: 89-88=1
Exploring Operation: 88-86=2, Resulting Numbers: [1, 89, 2]
Generated Node #0,4: 86:[1, 89, 2] Operation: 88-86=2
Moving to Node #0,3
Current State: 86:[1, 86, 1], Operations: ['89-88=1']
Exploring Operation: 1+1=2, Resulting Numbers: [86, 2]
Generated Node #0,3,0: 86:[86, 2] Operation: 1+1=2
Exploring Operation: 1/1=1, Resulting Numbers: [86, 1]
Generated Node #0,3,1: 86:[86, 1] Operation: 1/1=1
Exploring Operation: 86/1=86, Resulting Numbers: [1, 86]
Generated Node #0,3,2: 86:[1, 86] Operation: 86/1=86
Exploring Operation: 1*1=1, Resulting Numbers: [86, 1]
Generated Node #0,3,3: 86:[86, 1] Operation: 1*1=1
Exploring Operation: 1*86=86, Resulting Numbers: [1, 86]
Generated Node #0,3,4: 86:[1, 86] Operation: 1*86=86
Moving to Node #0,1
Current State: 86:[1, 88, 3], Operations: ['89-86=3']
Exploring Operation: 88/1=88, Resulting Numbers: [3, 88]
Generated Node #0,1,0: 86:[3, 88] Operation: 88/1=88
Exploring Operation: 88-1=87, Resulting Numbers: [3, 87]
Generated Node #0,1,1: 86:[3, 87] Operation: 88-1=87
Exploring Operation: 88-3=85, Resulting Numbers: [1, 85]
Generated Node #0,1,2: 86:[1, 85] Operation: 88-3=85
Exploring Operation: 3-1=2, Resulting Numbers: [88, 2]
Generated Node #0,1,3: 86:[88, 2] Operation: 3-1=2
Exploring Operation: 1*88=88, Resulting Numbers: [3, 88]
Generated Node #0,1,4: 86:[3, 88] Operation: 1*88=88
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[3, 87], Operations: ['89-86=3', '88-1=87']
Exploring Operation: 3*87=261, Resulting Numbers: [261]
261,86 unequal: No Solution
Exploring Operation: 3+87=90, Resulting Numbers: [90]
90,86 unequal: No Solution
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,86 unequal: No Solution
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[1, 85], Operations: ['89-86=3', '88-3=85']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,86 unequal: No Solution
Exploring Operation: 1*85=85, Resulting Numbers: [85]
85,86 unequal: No Solution
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,86 unequal: No Solution
Exploring Operation: 1+85=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[1, 88, 89, 86], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [1, 88, 3]
Generated Node #0,1: 86:[1, 88, 3] Operation: 89-86=3
Moving to Node #0,1
Current State: 86:[1, 88, 3], Operations: ['89-86=3']
Exploring Operation: 88-3=85, Resulting Numbers: [1, 85]
Generated Node #0,1,2: 86:[1, 85] Operation: 88-3=85
Moving to Node #0,1,2
Current State: 86:[1, 85], Operations: ['89-86=3', '88-3=85']
Exploring Operation: 1+85=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | sum_heuristic |
[
87,
3,
41,
30
] | 60 | [
"87-30=57",
"57/3=19",
"41+19=60"
] | Current State: 60:[87, 3, 41, 30], Operations: []
Exploring Operation: 87-30=57, Resulting Numbers: [3, 41, 57]
Generated Node #2: [3, 41, 57] from Operation: 87-30=57
Current State: 60:[3, 41, 57], Operations: ['87-30=57']
Exploring Operation: 57/3=19, Resulting Numbers: [41, 19]
Generated Node #3: [41, 19] from Operation: 57/3=19
Current State: 60:[41, 19], Operations: ['87-30=57', '57/3=19']
Exploring Operation: 41+19=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[87, 3, 41, 30], Operations: []
Exploring Operation: 87/3=29, Resulting Numbers: [41, 30, 29]
Generated Node #0,0: 60:[41, 30, 29] Operation: 87/3=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[41, 30, 29], Operations: ['87/3=29']
Exploring Operation: 41-29=12, Resulting Numbers: [30, 12]
Generated Node #0,0,0: 60:[30, 12] Operation: 41-29=12
Moving to Node #0,0,0
Current State: 60:[30, 12], Operations: ['87/3=29', '41-29=12']
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,60 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 |
[
20,
97,
66,
2
] | 55 | [
"97-20=77",
"66*2=132",
"132-77=55"
] | Current State: 55:[20, 97, 66, 2], Operations: []
Exploring Operation: 97-20=77, Resulting Numbers: [66, 2, 77]
Generated Node #2: [66, 2, 77] from Operation: 97-20=77
Current State: 55:[66, 2, 77], Operations: ['97-20=77']
Exploring Operation: 66*2=132, Resulting Numbers: [77, 132]
Generated Node #3: [77, 132] from Operation: 66*2=132
Current State: 55:[77, 132], Operations: ['97-20=77', '66*2=132']
Exploring Operation: 132-77=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[20, 97, 66, 2], Operations: []
Exploring Operation: 66-20=46, Resulting Numbers: [97, 2, 46]
Generated Node #0,0: 55:[97, 2, 46] Operation: 66-20=46
Exploring Operation: 97-66=31, Resulting Numbers: [20, 2, 31]
Generated Node #0,1: 55:[20, 2, 31] Operation: 97-66=31
Exploring Operation: 20/2=10, Resulting Numbers: [97, 66, 10]
Generated Node #0,2: 55:[97, 66, 10] Operation: 20/2=10
Exploring Operation: 97-20=77, Resulting Numbers: [66, 2, 77]
Generated Node #0,3: 55:[66, 2, 77] Operation: 97-20=77
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[20, 2, 31], Operations: ['97-66=31']
Exploring Operation: 20+31=51, Resulting Numbers: [2, 51]
Generated Node #0,1,0: 55:[2, 51] Operation: 20+31=51
Exploring Operation: 31-20=11, Resulting Numbers: [2, 11]
Generated Node #0,1,1: 55:[2, 11] Operation: 31-20=11
Exploring Operation: 20/2=10, Resulting Numbers: [31, 10]
Generated Node #0,1,2: 55:[31, 10] Operation: 20/2=10
Exploring Operation: 2*31=62, Resulting Numbers: [20, 62]
Generated Node #0,1,3: 55:[20, 62] Operation: 2*31=62
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 55:[2, 11], Operations: ['97-66=31', '31-20=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 55:[2, 51], Operations: ['97-66=31', '20+31=51']
Exploring Operation: 2*51=102, Resulting Numbers: [102]
102,55 unequal: No Solution
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Exploring Operation: 2+51=53, Resulting Numbers: [53]
53,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 55:[20, 62], Operations: ['97-66=31', '2*31=62']
Exploring Operation: 20*62=1240, Resulting Numbers: [1240]
1240,55 unequal: No Solution
Exploring Operation: 20+62=82, Resulting Numbers: [82]
82,55 unequal: No Solution
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 55:[31, 10], Operations: ['97-66=31', '20/2=10']
Exploring Operation: 31*10=310, Resulting Numbers: [310]
310,55 unequal: No Solution
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 31-10=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 #0,3
Current State: 55:[66, 2, 77], Operations: ['97-20=77']
Exploring Operation: 77-2=75, Resulting Numbers: [66, 75]
Generated Node #0,3,0: 55:[66, 75] Operation: 77-2=75
Exploring Operation: 77-66=11, Resulting Numbers: [2, 11]
Generated Node #0,3,1: 55:[2, 11] Operation: 77-66=11
Exploring Operation: 66-2=64, Resulting Numbers: [77, 64]
Generated Node #0,3,2: 55:[77, 64] Operation: 66-2=64
Exploring Operation: 66+2=68, Resulting Numbers: [77, 68]
Generated Node #0,3,3: 55:[77, 68] Operation: 66+2=68
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 55:[2, 11], Operations: ['97-20=77', '77-66=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 55:[66, 75], Operations: ['97-20=77', '77-2=75']
Exploring Operation: 66+75=141, Resulting Numbers: [141]
141,55 unequal: No Solution
Exploring Operation: 66*75=4950, Resulting Numbers: [4950]
4950,55 unequal: No Solution
Exploring Operation: 75-66=9, Resulting Numbers: [9]
9,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 55:[77, 64], Operations: ['97-20=77', '66-2=64']
Exploring Operation: 77*64=4928, Resulting Numbers: [4928]
4928,55 unequal: No Solution
Exploring Operation: 77-64=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 77+64=141, Resulting Numbers: [141]
141,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 55:[77, 68], Operations: ['97-20=77', '66+2=68']
Exploring Operation: 77+68=145, Resulting Numbers: [145]
145,55 unequal: No Solution
Exploring Operation: 77-68=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 77*68=5236, Resulting Numbers: [5236]
5236,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[97, 2, 46], Operations: ['66-20=46']
Exploring Operation: 97+2=99, Resulting Numbers: [46, 99]
Generated Node #0,0,0: 55:[46, 99] Operation: 97+2=99
Exploring Operation: 2+46=48, Resulting Numbers: [97, 48]
Generated Node #0,0,1: 55:[97, 48] Operation: 2+46=48
Exploring Operation: 97-46=51, Resulting Numbers: [2, 51]
Generated Node #0,0,2: 55:[2, 51] Operation: 97-46=51
Exploring Operation: 97-2=95, Resulting Numbers: [46, 95]
Generated Node #0,0,3: 55:[46, 95] Operation: 97-2=95
Moving to Node #0,0,2
Current State: 55:[2, 51], Operations: ['66-20=46', '97-46=51']
Exploring Operation: 2*51=102, Resulting Numbers: [102]
102,55 unequal: No Solution
Exploring Operation: 2+51=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[46, 95], Operations: ['66-20=46', '97-2=95']
Exploring Operation: 46+95=141, Resulting Numbers: [141]
141,55 unequal: No Solution
Exploring Operation: 46*95=4370, Resulting Numbers: [4370]
4370,55 unequal: No Solution
Exploring Operation: 95-46=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[97, 48], Operations: ['66-20=46', '2+46=48']
Exploring Operation: 97*48=4656, Resulting Numbers: [4656]
4656,55 unequal: No Solution
Exploring Operation: 97+48=145, Resulting Numbers: [145]
145,55 unequal: No Solution
Exploring Operation: 97-48=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[46, 99], Operations: ['66-20=46', '97+2=99']
Exploring Operation: 99-46=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Exploring Operation: 46+99=145, Resulting Numbers: [145]
145,55 unequal: No Solution
Exploring Operation: 46*99=4554, Resulting Numbers: [4554]
4554,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[97, 66, 10], Operations: ['20/2=10']
Exploring Operation: 97-10=87, Resulting Numbers: [66, 87]
Generated Node #0,2,0: 55:[66, 87] Operation: 97-10=87
Exploring Operation: 97+10=107, Resulting Numbers: [66, 107]
Generated Node #0,2,1: 55:[66, 107] Operation: 97+10=107
Exploring Operation: 66-10=56, Resulting Numbers: [97, 56]
Generated Node #0,2,2: 55:[97, 56] Operation: 66-10=56
Exploring Operation: 97-66=31, Resulting Numbers: [10, 31]
Generated Node #0,2,3: 55:[10, 31] Operation: 97-66=31
Moving to Node #0,2,3
Current State: 55:[10, 31], Operations: ['20/2=10', '97-66=31']
Exploring Operation: 10+31=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 10*31=310, Resulting Numbers: [310]
310,55 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[97, 56], Operations: ['20/2=10', '66-10=56']
Exploring Operation: 97-56=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 97+56=153, Resulting Numbers: [153]
153,55 unequal: No Solution
Exploring Operation: 97*56=5432, Resulting Numbers: [5432]
5432,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[66, 87], Operations: ['20/2=10', '97-10=87']
Exploring Operation: 66*87=5742, Resulting Numbers: [5742]
5742,55 unequal: No Solution
Exploring Operation: 87-66=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 66+87=153, Resulting Numbers: [153]
153,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[66, 107], Operations: ['20/2=10', '97+10=107']
Exploring Operation: 66*107=7062, Resulting Numbers: [7062]
7062,55 unequal: No Solution
Exploring Operation: 107-66=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 66+107=173, Resulting Numbers: [173]
173,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
33,
4,
4,
22
] | 44 | [
"33*4=132",
"4*22=88",
"132-88=44"
] | Current State: 44:[33, 4, 4, 22], Operations: []
Exploring Operation: 33*4=132, Resulting Numbers: [22, 132]
Generated Node #2: [22, 132] from Operation: 33*4=132
Current State: 44:[22, 132], Operations: ['33*4=132']
Exploring Operation: 4*22=88, Resulting Numbers: [132, 88]
Generated Node #3: [132, 88] from Operation: 4*22=88
Current State: 44:[132, 88], Operations: ['33*4=132', '4*22=88']
Exploring Operation: 132-88=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[33, 4, 4, 22], Operations: []
Exploring Operation: 33-22=11, Resulting Numbers: [4, 4, 11]
Generated Node #0,0: 44:[4, 4, 11] Operation: 33-22=11
Exploring Operation: 33+4=37, Resulting Numbers: [4, 22, 37]
Generated Node #0,1: 44:[4, 22, 37] Operation: 33+4=37
Moving to Node #0,0
Current State: 44:[4, 4, 11], Operations: ['33-22=11']
Exploring Operation: 4*11=44, Resulting Numbers: [4, 44]
Generated Node #0,0,0: 44:[4, 44] Operation: 4*11=44
Exploring Operation: 4*11=44, Resulting Numbers: [4, 44]
Generated Node #0,0,1: 44:[4, 44] Operation: 4*11=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[4, 44], Operations: ['33-22=11', '4*11=44']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,44 unequal: No Solution
Exploring Operation: 4+44=48, Resulting Numbers: [48]
48,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 44:[4, 44], Operations: ['33-22=11', '4*11=44']
Exploring Operation: 4+44=48, Resulting Numbers: [48]
48,44 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,44 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: 44:[4, 22, 37], Operations: ['33+4=37']
Exploring Operation: 4+37=41, Resulting Numbers: [22, 41]
Generated Node #0,1,0: 44:[22, 41] Operation: 4+37=41
Exploring Operation: 37-22=15, Resulting Numbers: [4, 15]
Generated Node #0,1,1: 44:[4, 15] Operation: 37-22=15
Moving to Node #0,1,0
Current State: 44:[22, 41], Operations: ['33+4=37', '4+37=41']
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 22+41=63, Resulting Numbers: [63]
63,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[4, 15], Operations: ['33+4=37', '37-22=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,44 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,44 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
65,
66,
5,
43
] | 44 | [
"65-43=22",
"5*22=110",
"110-66=44"
] | Current State: 44:[65, 66, 5, 43], Operations: []
Exploring Operation: 65-43=22, Resulting Numbers: [66, 5, 22]
Generated Node #2: [66, 5, 22] from Operation: 65-43=22
Current State: 44:[66, 5, 22], Operations: ['65-43=22']
Exploring Operation: 5*22=110, Resulting Numbers: [66, 110]
Generated Node #3: [66, 110] from Operation: 5*22=110
Current State: 44:[66, 110], Operations: ['65-43=22', '5*22=110']
Exploring Operation: 110-66=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[65, 66, 5, 43], Operations: []
Exploring Operation: 65-43=22, Resulting Numbers: [66, 5, 22]
Generated Node #0,0: 44:[66, 5, 22] Operation: 65-43=22
Exploring Operation: 66-65=1, Resulting Numbers: [5, 43, 1]
Generated Node #0,1: 44:[5, 43, 1] Operation: 66-65=1
Moving to Node #0,1
Current State: 44:[5, 43, 1], Operations: ['66-65=1']
Exploring Operation: 43+1=44, Resulting Numbers: [5, 44]
Generated Node #0,1,0: 44:[5, 44] Operation: 43+1=44
Exploring Operation: 5-1=4, Resulting Numbers: [43, 4]
Generated Node #0,1,1: 44:[43, 4] Operation: 5-1=4
Moving to Node #0,0
Current State: 44:[66, 5, 22], Operations: ['65-43=22']
Exploring Operation: 66-22=44, Resulting Numbers: [5, 44]
Generated Node #0,0,0: 44:[5, 44] Operation: 66-22=44
Exploring Operation: 66/22=3, Resulting Numbers: [5, 3]
Generated Node #0,0,1: 44:[5, 3] Operation: 66/22=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[5, 44], Operations: ['65-43=22', '66-22=44']
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,44 unequal: No Solution
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 44:[5, 3], Operations: ['65-43=22', '66/22=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 44:[5, 44], Operations: ['66-65=1', '43+1=44']
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,44 unequal: No Solution
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[43, 4], Operations: ['66-65=1', '5-1=4']
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,44 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,44 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
40,
77,
78,
98
] | 17 | [
"77-40=37",
"98-78=20",
"37-20=17"
] | Current State: 17:[40, 77, 78, 98], Operations: []
Exploring Operation: 77-40=37, Resulting Numbers: [78, 98, 37]
Generated Node #2: [78, 98, 37] from Operation: 77-40=37
Current State: 17:[78, 98, 37], Operations: ['77-40=37']
Exploring Operation: 98-78=20, Resulting Numbers: [37, 20]
Generated Node #3: [37, 20] from Operation: 98-78=20
Current State: 17:[37, 20], Operations: ['77-40=37', '98-78=20']
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[40, 77, 78, 98], Operations: []
Exploring Operation: 98-78=20, Resulting Numbers: [40, 77, 20]
Generated Node #0,0: 17:[40, 77, 20] Operation: 98-78=20
Exploring Operation: 98-77=21, Resulting Numbers: [40, 78, 21]
Generated Node #0,1: 17:[40, 78, 21] Operation: 98-77=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[40, 77, 20], Operations: ['98-78=20']
Exploring Operation: 77-40=37, Resulting Numbers: [20, 37]
Generated Node #0,0,0: 17:[20, 37] Operation: 77-40=37
Exploring Operation: 40-20=20, Resulting Numbers: [77, 20]
Generated Node #0,0,1: 17:[77, 20] Operation: 40-20=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[20, 37], Operations: ['98-78=20', '77-40=37']
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,17 unequal: No Solution
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[40, 77, 78, 98], Operations: []
Exploring Operation: 98-78=20, Resulting Numbers: [40, 77, 20]
Generated Node #0,0: 17:[40, 77, 20] Operation: 98-78=20
Moving to Node #0,0
Current State: 17:[40, 77, 20], Operations: ['98-78=20']
Exploring Operation: 77-40=37, Resulting Numbers: [20, 37]
Generated Node #0,0,0: 17:[20, 37] Operation: 77-40=37
Moving to Node #0,0,0
Current State: 17:[20, 37], Operations: ['98-78=20', '77-40=37']
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
51,
25,
82,
82
] | 76 | [
"51+25=76",
"82-82=0",
"76+0=76"
] | Current State: 76:[51, 25, 82, 82], Operations: []
Exploring Operation: 51+25=76, Resulting Numbers: [82, 82, 76]
Generated Node #2: [82, 82, 76] from Operation: 51+25=76
Current State: 76:[82, 82, 76], Operations: ['51+25=76']
Exploring Operation: 82-82=0, Resulting Numbers: [76, 0]
Generated Node #3: [76, 0] from Operation: 82-82=0
Current State: 76:[76, 0], Operations: ['51+25=76', '82-82=0']
Exploring Operation: 76+0=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[51, 25, 82, 82], Operations: []
Exploring Operation: 51+25=76, Resulting Numbers: [82, 82, 76]
Generated Node #0,0: 76:[82, 82, 76] Operation: 51+25=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[82, 82, 76], Operations: ['51+25=76']
Exploring Operation: 82/82=1, Resulting Numbers: [76, 1]
Generated Node #0,0,0: 76:[76, 1] Operation: 82/82=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[76, 1], Operations: ['51+25=76', '82/82=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[51, 25, 82, 82], Operations: []
Exploring Operation: 51+25=76, Resulting Numbers: [82, 82, 76]
Generated Node #0,0: 76:[82, 82, 76] Operation: 51+25=76
Moving to Node #0,0
Current State: 76:[82, 82, 76], Operations: ['51+25=76']
Exploring Operation: 82/82=1, Resulting Numbers: [76, 1]
Generated Node #0,0,0: 76:[76, 1] Operation: 82/82=1
Moving to Node #0,0,0
Current State: 76:[76, 1], Operations: ['51+25=76', '82/82=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
41,
15,
77,
88
] | 49 | [
"41+15=56",
"77*56=4312",
"4312/88=49"
] | Current State: 49:[41, 15, 77, 88], Operations: []
Exploring Operation: 41+15=56, Resulting Numbers: [77, 88, 56]
Generated Node #2: [77, 88, 56] from Operation: 41+15=56
Current State: 49:[77, 88, 56], Operations: ['41+15=56']
Exploring Operation: 77*56=4312, Resulting Numbers: [88, 4312]
Generated Node #3: [88, 4312] from Operation: 77*56=4312
Current State: 49:[88, 4312], Operations: ['41+15=56', '77*56=4312']
Exploring Operation: 4312/88=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[41, 15, 77, 88], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [15, 88, 36]
Generated Node #0,0: 49:[15, 88, 36] Operation: 77-41=36
Exploring Operation: 88-15=73, Resulting Numbers: [41, 77, 73]
Generated Node #0,1: 49:[41, 77, 73] Operation: 88-15=73
Exploring Operation: 88-77=11, Resulting Numbers: [41, 15, 11]
Generated Node #0,2: 49:[41, 15, 11] Operation: 88-77=11
Exploring Operation: 77-15=62, Resulting Numbers: [41, 88, 62]
Generated Node #0,3: 49:[41, 88, 62] Operation: 77-15=62
Exploring Operation: 88-41=47, Resulting Numbers: [15, 77, 47]
Generated Node #0,4: 49:[15, 77, 47] Operation: 88-41=47
Moving to Node #0,2
Current State: 49:[41, 15, 11], Operations: ['88-77=11']
Exploring Operation: 41-15=26, Resulting Numbers: [11, 26]
Generated Node #0,2,0: 49:[11, 26] Operation: 41-15=26
Exploring Operation: 41-11=30, Resulting Numbers: [15, 30]
Generated Node #0,2,1: 49:[15, 30] Operation: 41-11=30
Exploring Operation: 15-11=4, Resulting Numbers: [41, 4]
Generated Node #0,2,2: 49:[41, 4] Operation: 15-11=4
Exploring Operation: 41+11=52, Resulting Numbers: [15, 52]
Generated Node #0,2,3: 49:[15, 52] Operation: 41+11=52
Exploring Operation: 41+15=56, Resulting Numbers: [11, 56]
Generated Node #0,2,4: 49:[11, 56] Operation: 41+15=56
Moving to Node #0,4
Current State: 49:[15, 77, 47], Operations: ['88-41=47']
Exploring Operation: 15+77=92, Resulting Numbers: [47, 92]
Generated Node #0,4,0: 49:[47, 92] Operation: 15+77=92
Exploring Operation: 47-15=32, Resulting Numbers: [77, 32]
Generated Node #0,4,1: 49:[77, 32] Operation: 47-15=32
Exploring Operation: 77-47=30, Resulting Numbers: [15, 30]
Generated Node #0,4,2: 49:[15, 30] Operation: 77-47=30
Exploring Operation: 15+47=62, Resulting Numbers: [77, 62]
Generated Node #0,4,3: 49:[77, 62] Operation: 15+47=62
Exploring Operation: 77-15=62, Resulting Numbers: [47, 62]
Generated Node #0,4,4: 49:[47, 62] Operation: 77-15=62
Moving to Node #0,0
Current State: 49:[15, 88, 36], Operations: ['77-41=36']
Exploring Operation: 15+88=103, Resulting Numbers: [36, 103]
Generated Node #0,0,0: 49:[36, 103] Operation: 15+88=103
Exploring Operation: 88-15=73, Resulting Numbers: [36, 73]
Generated Node #0,0,1: 49:[36, 73] Operation: 88-15=73
Exploring Operation: 36-15=21, Resulting Numbers: [88, 21]
Generated Node #0,0,2: 49:[88, 21] Operation: 36-15=21
Exploring Operation: 88-36=52, Resulting Numbers: [15, 52]
Generated Node #0,0,3: 49:[15, 52] Operation: 88-36=52
Exploring Operation: 15+36=51, Resulting Numbers: [88, 51]
Generated Node #0,0,4: 49:[88, 51] Operation: 15+36=51
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 49:[15, 52], Operations: ['77-41=36', '88-36=52']
Exploring Operation: 15+52=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 15*52=780, Resulting Numbers: [780]
780,49 unequal: No Solution
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[36, 73], Operations: ['77-41=36', '88-15=73']
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 36+73=109, Resulting Numbers: [109]
109,49 unequal: No Solution
Exploring Operation: 36*73=2628, Resulting Numbers: [2628]
2628,49 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 #0,0,4
Current State: 49:[88, 51], Operations: ['77-41=36', '15+36=51']
Exploring Operation: 88+51=139, Resulting Numbers: [139]
139,49 unequal: No Solution
Exploring Operation: 88*51=4488, Resulting Numbers: [4488]
4488,49 unequal: No Solution
Exploring Operation: 88-51=37, Resulting Numbers: [37]
37,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 49:[88, 21], Operations: ['77-41=36', '36-15=21']
Exploring Operation: 88+21=109, Resulting Numbers: [109]
109,49 unequal: No Solution
Exploring Operation: 88-21=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 88*21=1848, Resulting Numbers: [1848]
1848,49 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 #0,0,0
Current State: 49:[36, 103], Operations: ['77-41=36', '15+88=103']
Exploring Operation: 36+103=139, Resulting Numbers: [139]
139,49 unequal: No Solution
Exploring Operation: 36*103=3708, Resulting Numbers: [3708]
3708,49 unequal: No Solution
Exploring Operation: 103-36=67, Resulting Numbers: [67]
67,49 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:[41, 77, 73], Operations: ['88-15=73']
Exploring Operation: 41+73=114, Resulting Numbers: [77, 114]
Generated Node #0,1,0: 49:[77, 114] Operation: 41+73=114
Exploring Operation: 77-73=4, Resulting Numbers: [41, 4]
Generated Node #0,1,1: 49:[41, 4] Operation: 77-73=4
Exploring Operation: 41+77=118, Resulting Numbers: [73, 118]
Generated Node #0,1,2: 49:[73, 118] Operation: 41+77=118
Exploring Operation: 77-41=36, Resulting Numbers: [73, 36]
Generated Node #0,1,3: 49:[73, 36] Operation: 77-41=36
Exploring Operation: 73-41=32, Resulting Numbers: [77, 32]
Generated Node #0,1,4: 49:[77, 32] Operation: 73-41=32
Moving to Node #0,3
Current State: 49:[41, 88, 62], Operations: ['77-15=62']
Exploring Operation: 88-62=26, Resulting Numbers: [41, 26]
Generated Node #0,3,0: 49:[41, 26] Operation: 88-62=26
Exploring Operation: 41+88=129, Resulting Numbers: [62, 129]
Generated Node #0,3,1: 49:[62, 129] Operation: 41+88=129
Exploring Operation: 88-41=47, Resulting Numbers: [62, 47]
Generated Node #0,3,2: 49:[62, 47] Operation: 88-41=47
Exploring Operation: 41+62=103, Resulting Numbers: [88, 103]
Generated Node #0,3,3: 49:[88, 103] Operation: 41+62=103
Exploring Operation: 62-41=21, Resulting Numbers: [88, 21]
Generated Node #0,3,4: 49:[88, 21] Operation: 62-41=21
Moving to Node #0,2,2
Current State: 49:[41, 4], Operations: ['88-77=11', '15-11=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,49 unequal: No Solution
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Moving to Node #0,2,4
Current State: 49:[11, 56], Operations: ['88-77=11', '41+15=56']
Exploring Operation: 11*56=616, Resulting Numbers: [616]
616,49 unequal: No Solution
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Moving to Node #0,2,3
Current State: 49:[15, 52], Operations: ['88-77=11', '41+11=52']
Exploring Operation: 15+52=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 15*52=780, Resulting Numbers: [780]
780,49 unequal: No Solution
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[41, 4], Operations: ['88-15=73', '77-73=4']
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,49 unequal: No Solution
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Moving to Node #0,4,4
Current State: 49:[47, 62], Operations: ['88-41=47', '77-15=62']
Exploring Operation: 47*62=2914, Resulting Numbers: [2914]
2914,49 unequal: No Solution
Exploring Operation: 62-47=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 47+62=109, Resulting Numbers: [109]
109,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[62, 47], Operations: ['77-15=62', '88-41=47']
Exploring Operation: 62-47=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 62*47=2914, Resulting Numbers: [2914]
2914,49 unequal: No Solution
Exploring Operation: 62+47=109, Resulting Numbers: [109]
109,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[11, 26], Operations: ['88-77=11', '41-15=26']
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 11*26=286, Resulting Numbers: [286]
286,49 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Moving to Node #0,4,2
Current State: 49:[15, 30], Operations: ['88-41=47', '77-47=30']
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 15*30=450, Resulting Numbers: [450]
450,49 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[15, 30], Operations: ['88-77=11', '41-11=30']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 15*30=450, Resulting Numbers: [450]
450,49 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[41, 26], Operations: ['77-15=62', '88-62=26']
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 41+26=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 41*26=1066, Resulting Numbers: [1066]
1066,49 unequal: No Solution
Moving to Node #0,1,3
Current State: 49:[73, 36], Operations: ['88-15=73', '77-41=36']
Exploring Operation: 73*36=2628, Resulting Numbers: [2628]
2628,49 unequal: No Solution
Exploring Operation: 73+36=109, Resulting Numbers: [109]
109,49 unequal: No Solution
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Moving to Node #0,4,3
Current State: 49:[77, 62], Operations: ['88-41=47', '15+47=62']
Exploring Operation: 77-62=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 77*62=4774, Resulting Numbers: [4774]
4774,49 unequal: No Solution
Exploring Operation: 77+62=139, Resulting Numbers: [139]
139,49 unequal: No Solution
Moving to Node #0,1,4
Current State: 49:[77, 32], Operations: ['88-15=73', '73-41=32']
Exploring Operation: 77-32=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 77*32=2464, Resulting Numbers: [2464]
2464,49 unequal: No Solution
Exploring Operation: 77+32=109, Resulting Numbers: [109]
109,49 unequal: No Solution
Moving to Node #0,4,1
Current State: 49:[77, 32], Operations: ['88-41=47', '47-15=32']
Exploring Operation: 77+32=109, Resulting Numbers: [109]
109,49 unequal: No Solution
Exploring Operation: 77*32=2464, Resulting Numbers: [2464]
2464,49 unequal: No Solution
Exploring Operation: 77-32=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Moving to Node #0,4,0
Current State: 49:[47, 92], Operations: ['88-41=47', '15+77=92']
Exploring Operation: 47+92=139, Resulting Numbers: [139]
139,49 unequal: No Solution
Exploring Operation: 47*92=4324, Resulting Numbers: [4324]
4324,49 unequal: No Solution
Exploring Operation: 92-47=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Moving to Node #0,3,4
Current State: 49:[88, 21], Operations: ['77-15=62', '62-41=21']
Exploring Operation: 88-21=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 88*21=1848, Resulting Numbers: [1848]
1848,49 unequal: No Solution
Exploring Operation: 88+21=109, Resulting Numbers: [109]
109,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[62, 129], Operations: ['77-15=62', '41+88=129']
Exploring Operation: 62*129=7998, Resulting Numbers: [7998]
7998,49 unequal: No Solution
Exploring Operation: 129-62=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 62+129=191, Resulting Numbers: [191]
191,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[88, 103], Operations: ['77-15=62', '41+62=103']
Exploring Operation: 88+103=191, Resulting Numbers: [191]
191,49 unequal: No Solution
Exploring Operation: 88*103=9064, Resulting Numbers: [9064]
9064,49 unequal: No Solution
Exploring Operation: 103-88=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[73, 118], Operations: ['88-15=73', '41+77=118']
Exploring Operation: 73*118=8614, Resulting Numbers: [8614]
8614,49 unequal: No Solution
Exploring Operation: 73+118=191, Resulting Numbers: [191]
191,49 unequal: No Solution
Exploring Operation: 118-73=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[77, 114], Operations: ['88-15=73', '41+73=114']
Exploring Operation: 77*114=8778, Resulting Numbers: [8778]
8778,49 unequal: No Solution
Exploring Operation: 77+114=191, Resulting Numbers: [191]
191,49 unequal: No Solution
Exploring Operation: 114-77=37, Resulting Numbers: [37]
37,49 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
59,
47,
19,
3
] | 34 | [
"59-47=12",
"19+3=22",
"12+22=34"
] | Current State: 34:[59, 47, 19, 3], Operations: []
Exploring Operation: 59-47=12, Resulting Numbers: [19, 3, 12]
Generated Node #2: [19, 3, 12] from Operation: 59-47=12
Current State: 34:[19, 3, 12], Operations: ['59-47=12']
Exploring Operation: 19+3=22, Resulting Numbers: [12, 22]
Generated Node #3: [12, 22] from Operation: 19+3=22
Current State: 34:[12, 22], Operations: ['59-47=12', '19+3=22']
Exploring Operation: 12+22=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[59, 47, 19, 3], Operations: []
Exploring Operation: 47-19=28, Resulting Numbers: [59, 3, 28]
Generated Node #0,0: 34:[59, 3, 28] Operation: 47-19=28
Exploring Operation: 59-47=12, Resulting Numbers: [19, 3, 12]
Generated Node #0,1: 34:[19, 3, 12] Operation: 59-47=12
Exploring Operation: 59-19=40, Resulting Numbers: [47, 3, 40]
Generated Node #0,2: 34:[47, 3, 40] Operation: 59-19=40
Moving to Node #0,1
Current State: 34:[19, 3, 12], Operations: ['59-47=12']
Exploring Operation: 3+12=15, Resulting Numbers: [19, 15]
Generated Node #0,1,0: 34:[19, 15] Operation: 3+12=15
Exploring Operation: 3*12=36, Resulting Numbers: [19, 36]
Generated Node #0,1,1: 34:[19, 36] Operation: 3*12=36
Exploring Operation: 19+12=31, Resulting Numbers: [3, 31]
Generated Node #0,1,2: 34:[3, 31] Operation: 19+12=31
Moving to Node #0,2
Current State: 34:[47, 3, 40], Operations: ['59-19=40']
Exploring Operation: 47-3=44, Resulting Numbers: [40, 44]
Generated Node #0,2,0: 34:[40, 44] Operation: 47-3=44
Exploring Operation: 47-40=7, Resulting Numbers: [3, 7]
Generated Node #0,2,1: 34:[3, 7] Operation: 47-40=7
Exploring Operation: 40-3=37, Resulting Numbers: [47, 37]
Generated Node #0,2,2: 34:[47, 37] Operation: 40-3=37
Moving to Node #0,0
Current State: 34:[59, 3, 28], Operations: ['47-19=28']
Exploring Operation: 59-28=31, Resulting Numbers: [3, 31]
Generated Node #0,0,0: 34:[3, 31] Operation: 59-28=31
Exploring Operation: 3+28=31, Resulting Numbers: [59, 31]
Generated Node #0,0,1: 34:[59, 31] Operation: 3+28=31
Exploring Operation: 59-3=56, Resulting Numbers: [28, 56]
Generated Node #0,0,2: 34:[28, 56] Operation: 59-3=56
Moving to Node #0,1,0
Current State: 34:[19, 15], Operations: ['59-47=12', '3+12=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[59, 47, 19, 3], Operations: []
Exploring Operation: 59-47=12, Resulting Numbers: [19, 3, 12]
Generated Node #0,1: 34:[19, 3, 12] Operation: 59-47=12
Moving to Node #0,1
Current State: 34:[19, 3, 12], Operations: ['59-47=12']
Exploring Operation: 3+12=15, Resulting Numbers: [19, 15]
Generated Node #0,1,0: 34:[19, 15] Operation: 3+12=15
Moving to Node #0,1,0
Current State: 34:[19, 15], Operations: ['59-47=12', '3+12=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.985243 | hs_3 | mult_heuristic |
[
10,
43,
48,
34
] | 16 | [
"48-43=5",
"10*5=50",
"50-34=16"
] | Current State: 16:[10, 43, 48, 34], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [10, 34, 5]
Generated Node #2: [10, 34, 5] from Operation: 48-43=5
Current State: 16:[10, 34, 5], Operations: ['48-43=5']
Exploring Operation: 10*5=50, Resulting Numbers: [34, 50]
Generated Node #3: [34, 50] from Operation: 10*5=50
Current State: 16:[34, 50], Operations: ['48-43=5', '10*5=50']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[10, 43, 48, 34], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [10, 34, 5]
Generated Node #0,0: 16:[10, 34, 5] Operation: 48-43=5
Exploring Operation: 43-10=33, Resulting Numbers: [48, 34, 33]
Generated Node #0,1: 16:[48, 34, 33] Operation: 43-10=33
Exploring Operation: 48-10=38, Resulting Numbers: [43, 34, 38]
Generated Node #0,2: 16:[43, 34, 38] Operation: 48-10=38
Exploring Operation: 48-34=14, Resulting Numbers: [10, 43, 14]
Generated Node #0,3: 16:[10, 43, 14] Operation: 48-34=14
Exploring Operation: 43-34=9, Resulting Numbers: [10, 48, 9]
Generated Node #0,4: 16:[10, 48, 9] Operation: 43-34=9
Moving to Node #0,0
Current State: 16:[10, 34, 5], Operations: ['48-43=5']
Exploring Operation: 10/5=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 16:[34, 2] Operation: 10/5=2
Exploring Operation: 10-5=5, Resulting Numbers: [34, 5]
Generated Node #0,0,1: 16:[34, 5] Operation: 10-5=5
Exploring Operation: 34-5=29, Resulting Numbers: [10, 29]
Generated Node #0,0,2: 16:[10, 29] Operation: 34-5=29
Exploring Operation: 10+5=15, Resulting Numbers: [34, 15]
Generated Node #0,0,3: 16:[34, 15] Operation: 10+5=15
Exploring Operation: 34-10=24, Resulting Numbers: [5, 24]
Generated Node #0,0,4: 16:[5, 24] Operation: 34-10=24
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 16:[5, 24], Operations: ['48-43=5', '34-10=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,16 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 16:[10, 29], Operations: ['48-43=5', '34-5=29']
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[34, 2], Operations: ['48-43=5', '10/5=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,16 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[34, 5], Operations: ['48-43=5', '10-5=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,16 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 16:[34, 15], Operations: ['48-43=5', '10+5=15']
Exploring Operation: 34*15=510, Resulting Numbers: [510]
510,16 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,16 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: 16:[10, 43, 14], Operations: ['48-34=14']
Exploring Operation: 14-10=4, Resulting Numbers: [43, 4]
Generated Node #0,3,0: 16:[43, 4] Operation: 14-10=4
Exploring Operation: 10+14=24, Resulting Numbers: [43, 24]
Generated Node #0,3,1: 16:[43, 24] Operation: 10+14=24
Exploring Operation: 43-14=29, Resulting Numbers: [10, 29]
Generated Node #0,3,2: 16:[10, 29] Operation: 43-14=29
Exploring Operation: 43-10=33, Resulting Numbers: [14, 33]
Generated Node #0,3,3: 16:[14, 33] Operation: 43-10=33
Exploring Operation: 10+43=53, Resulting Numbers: [14, 53]
Generated Node #0,3,4: 16:[14, 53] Operation: 10+43=53
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 16:[10, 29], Operations: ['48-34=14', '43-14=29']
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,16 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 16:[14, 33], Operations: ['48-34=14', '43-10=33']
Exploring Operation: 14*33=462, Resulting Numbers: [462]
462,16 unequal: No Solution
Exploring Operation: 14+33=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 16:[43, 4], Operations: ['48-34=14', '14-10=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 43*4=172, Resulting Numbers: [172]
172,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 16:[43, 24], Operations: ['48-34=14', '10+14=24']
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,16 unequal: No Solution
Exploring Operation: 43*24=1032, Resulting Numbers: [1032]
1032,16 unequal: No Solution
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 16:[14, 53], Operations: ['48-34=14', '10+43=53']
Exploring Operation: 14+53=67, Resulting Numbers: [67]
67,16 unequal: No Solution
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 14*53=742, Resulting Numbers: [742]
742,16 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: 16:[10, 48, 9], Operations: ['43-34=9']
Exploring Operation: 48-9=39, Resulting Numbers: [10, 39]
Generated Node #0,4,0: 16:[10, 39] Operation: 48-9=39
Exploring Operation: 10+9=19, Resulting Numbers: [48, 19]
Generated Node #0,4,1: 16:[48, 19] Operation: 10+9=19
Exploring Operation: 10+48=58, Resulting Numbers: [9, 58]
Generated Node #0,4,2: 16:[9, 58] Operation: 10+48=58
Exploring Operation: 48-10=38, Resulting Numbers: [9, 38]
Generated Node #0,4,3: 16:[9, 38] Operation: 48-10=38
Exploring Operation: 10-9=1, Resulting Numbers: [48, 1]
Generated Node #0,4,4: 16:[48, 1] Operation: 10-9=1
Moving to Node #0,1
Current State: 16:[48, 34, 33], Operations: ['43-10=33']
Exploring Operation: 48-33=15, Resulting Numbers: [34, 15]
Generated Node #0,1,0: 16:[34, 15] Operation: 48-33=15
Exploring Operation: 34-33=1, Resulting Numbers: [48, 1]
Generated Node #0,1,1: 16:[48, 1] Operation: 34-33=1
Exploring Operation: 48+33=81, Resulting Numbers: [34, 81]
Generated Node #0,1,2: 16:[34, 81] Operation: 48+33=81
Exploring Operation: 48+34=82, Resulting Numbers: [33, 82]
Generated Node #0,1,3: 16:[33, 82] Operation: 48+34=82
Exploring Operation: 48-34=14, Resulting Numbers: [33, 14]
Generated Node #0,1,4: 16:[33, 14] Operation: 48-34=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[34, 15], Operations: ['43-10=33', '48-33=15']
Exploring Operation: 34*15=510, Resulting Numbers: [510]
510,16 unequal: No Solution
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 16:[33, 14], Operations: ['43-10=33', '48-34=14']
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,16 unequal: No Solution
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 16:[48, 1], Operations: ['43-10=33', '34-33=1']
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 16:[34, 81], Operations: ['43-10=33', '48+33=81']
Exploring Operation: 34+81=115, Resulting Numbers: [115]
115,16 unequal: No Solution
Exploring Operation: 34*81=2754, Resulting Numbers: [2754]
2754,16 unequal: No Solution
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 16:[33, 82], Operations: ['43-10=33', '48+34=82']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 33*82=2706, Resulting Numbers: [2706]
2706,16 unequal: No Solution
Exploring Operation: 33+82=115, Resulting Numbers: [115]
115,16 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: 16:[43, 34, 38], Operations: ['48-10=38']
Exploring Operation: 43-34=9, Resulting Numbers: [38, 9]
Generated Node #0,2,0: 16:[38, 9] Operation: 43-34=9
Exploring Operation: 43+34=77, Resulting Numbers: [38, 77]
Generated Node #0,2,1: 16:[38, 77] Operation: 43+34=77
Exploring Operation: 43-38=5, Resulting Numbers: [34, 5]
Generated Node #0,2,2: 16:[34, 5] Operation: 43-38=5
Exploring Operation: 43+38=81, Resulting Numbers: [34, 81]
Generated Node #0,2,3: 16:[34, 81] Operation: 43+38=81
Exploring Operation: 38-34=4, Resulting Numbers: [43, 4]
Generated Node #0,2,4: 16:[43, 4] Operation: 38-34=4
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 16:[34, 5], Operations: ['48-10=38', '43-38=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,16 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 16:[38, 9], Operations: ['48-10=38', '43-34=9']
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,16 unequal: No Solution
Exploring Operation: 38+9=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 38*9=342, Resulting Numbers: [342]
342,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 16:[43, 4], Operations: ['48-10=38', '38-34=4']
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 43*4=172, Resulting Numbers: [172]
172,16 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 16:[38, 77], Operations: ['48-10=38', '43+34=77']
Exploring Operation: 38*77=2926, Resulting Numbers: [2926]
2926,16 unequal: No Solution
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 38+77=115, Resulting Numbers: [115]
115,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 16:[34, 81], Operations: ['48-10=38', '43+38=81']
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 34*81=2754, Resulting Numbers: [2754]
2754,16 unequal: No Solution
Exploring Operation: 34+81=115, Resulting Numbers: [115]
115,16 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: 16:[9, 38], Operations: ['43-34=9', '48-10=38']
Exploring Operation: 9+38=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 9*38=342, Resulting Numbers: [342]
342,16 unequal: No Solution
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,16 unequal: No Solution
Moving to Node #0,4,0
Current State: 16:[10, 39], Operations: ['43-34=9', '48-9=39']
Exploring Operation: 10*39=390, Resulting Numbers: [390]
390,16 unequal: No Solution
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,16 unequal: No Solution
Exploring Operation: 10+39=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Moving to Node #0,4,4
Current State: 16:[48, 1], Operations: ['43-34=9', '10-9=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Moving to Node #0,4,1
Current State: 16:[48, 19], Operations: ['43-34=9', '10+9=19']
Exploring Operation: 48*19=912, Resulting Numbers: [912]
912,16 unequal: No Solution
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,16 unequal: No Solution
Exploring Operation: 48+19=67, Resulting Numbers: [67]
67,16 unequal: No Solution
Moving to Node #0,4,2
Current State: 16:[9, 58], Operations: ['43-34=9', '10+48=58']
Exploring Operation: 9+58=67, Resulting Numbers: [67]
67,16 unequal: No Solution
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 9*58=522, Resulting Numbers: [522]
522,16 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
82,
86,
54,
81
] | 33 | [
"82+86=168",
"54+81=135",
"168-135=33"
] | Current State: 33:[82, 86, 54, 81], Operations: []
Exploring Operation: 82+86=168, Resulting Numbers: [54, 81, 168]
Generated Node #2: [54, 81, 168] from Operation: 82+86=168
Current State: 33:[54, 81, 168], Operations: ['82+86=168']
Exploring Operation: 54+81=135, Resulting Numbers: [168, 135]
Generated Node #3: [168, 135] from Operation: 54+81=135
Current State: 33:[168, 135], Operations: ['82+86=168', '54+81=135']
Exploring Operation: 168-135=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[82, 86, 54, 81], Operations: []
Exploring Operation: 82-81=1, Resulting Numbers: [86, 54, 1]
Generated Node #0,0: 33:[86, 54, 1] Operation: 82-81=1
Exploring Operation: 86-81=5, Resulting Numbers: [82, 54, 5]
Generated Node #0,1: 33:[82, 54, 5] Operation: 86-81=5
Exploring Operation: 86-82=4, Resulting Numbers: [54, 81, 4]
Generated Node #0,2: 33:[54, 81, 4] Operation: 86-82=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[54, 81, 4], Operations: ['86-82=4']
Exploring Operation: 54-4=50, Resulting Numbers: [81, 50]
Generated Node #0,2,0: 33:[81, 50] Operation: 54-4=50
Exploring Operation: 81-4=77, Resulting Numbers: [54, 77]
Generated Node #0,2,1: 33:[54, 77] Operation: 81-4=77
Exploring Operation: 81-54=27, Resulting Numbers: [4, 27]
Generated Node #0,2,2: 33:[4, 27] Operation: 81-54=27
Moving to Node #0,2,2
Current State: 33:[4, 27], Operations: ['86-82=4', '81-54=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,33 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,33 unequal: No Solution
Moving to Node #0,2,0
Current State: 33:[81, 50], Operations: ['86-82=4', '54-4=50']
Exploring Operation: 81+50=131, Resulting Numbers: [131]
131,33 unequal: No Solution
Exploring Operation: 81-50=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Exploring Operation: 81*50=4050, Resulting Numbers: [4050]
4050,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[54, 77], Operations: ['86-82=4', '81-4=77']
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,33 unequal: No Solution
Exploring Operation: 54*77=4158, Resulting Numbers: [4158]
4158,33 unequal: No Solution
Exploring Operation: 54+77=131, Resulting Numbers: [131]
131,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[82, 54, 5], Operations: ['86-81=5']
Exploring Operation: 54-5=49, Resulting Numbers: [82, 49]
Generated Node #0,1,0: 33:[82, 49] Operation: 54-5=49
Exploring Operation: 82-54=28, Resulting Numbers: [5, 28]
Generated Node #0,1,1: 33:[5, 28] Operation: 82-54=28
Exploring Operation: 82-5=77, Resulting Numbers: [54, 77]
Generated Node #0,1,2: 33:[54, 77] Operation: 82-5=77
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[5, 28], Operations: ['86-81=5', '82-54=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,33 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[82, 86, 54, 81], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [82, 54, 5]
Generated Node #0,1: 33:[82, 54, 5] Operation: 86-81=5
Moving to Node #0,1
Current State: 33:[82, 54, 5], Operations: ['86-81=5']
Exploring Operation: 82-54=28, Resulting Numbers: [5, 28]
Generated Node #0,1,1: 33:[5, 28] Operation: 82-54=28
Moving to Node #0,1,1
Current State: 33:[5, 28], Operations: ['86-81=5', '82-54=28']
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167 | hs_3 | sum_heuristic |
[
93,
57,
53,
12
] | 90 | [
"57-53=4",
"12/4=3",
"93-3=90"
] | Current State: 90:[93, 57, 53, 12], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [93, 12, 4]
Generated Node #2: [93, 12, 4] from Operation: 57-53=4
Current State: 90:[93, 12, 4], Operations: ['57-53=4']
Exploring Operation: 12/4=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 12/4=3
Current State: 90:[93, 3], Operations: ['57-53=4', '12/4=3']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[93, 57, 53, 12], Operations: []
Exploring Operation: 57-12=45, Resulting Numbers: [93, 53, 45]
Generated Node #0,0: 90:[93, 53, 45] Operation: 57-12=45
Exploring Operation: 93-53=40, Resulting Numbers: [57, 12, 40]
Generated Node #0,1: 90:[57, 12, 40] Operation: 93-53=40
Exploring Operation: 57-53=4, Resulting Numbers: [93, 12, 4]
Generated Node #0,2: 90:[93, 12, 4] Operation: 57-53=4
Exploring Operation: 93-57=36, Resulting Numbers: [53, 12, 36]
Generated Node #0,3: 90:[53, 12, 36] Operation: 93-57=36
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[93, 12, 4], Operations: ['57-53=4']
Exploring Operation: 12/4=3, Resulting Numbers: [93, 3]
Generated Node #0,2,0: 90:[93, 3] Operation: 12/4=3
Exploring Operation: 12+4=16, Resulting Numbers: [93, 16]
Generated Node #0,2,1: 90:[93, 16] Operation: 12+4=16
Exploring Operation: 12-4=8, Resulting Numbers: [93, 8]
Generated Node #0,2,2: 90:[93, 8] Operation: 12-4=8
Exploring Operation: 93-4=89, Resulting Numbers: [12, 89]
Generated Node #0,2,3: 90:[12, 89] Operation: 93-4=89
Moving to Node #0,2,0
Current State: 90:[93, 3], Operations: ['57-53=4', '12/4=3']
Exploring Operation: 93*3=279, Resulting Numbers: [279]
279,90 unequal: No Solution
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,90 unequal: No Solution
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,90 unequal: No Solution
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[93, 57, 53, 12], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [93, 12, 4]
Generated Node #0,2: 90:[93, 12, 4] Operation: 57-53=4
Moving to Node #0,2
Current State: 90:[93, 12, 4], Operations: ['57-53=4']
Exploring Operation: 12/4=3, Resulting Numbers: [93, 3]
Generated Node #0,2,0: 90:[93, 3] Operation: 12/4=3
Moving to Node #0,2,0
Current State: 90:[93, 3], Operations: ['57-53=4', '12/4=3']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
53,
37,
80,
50
] | 60 | [
"53+37=90",
"80-50=30",
"90-30=60"
] | Current State: 60:[53, 37, 80, 50], Operations: []
Exploring Operation: 53+37=90, Resulting Numbers: [80, 50, 90]
Generated Node #2: [80, 50, 90] from Operation: 53+37=90
Current State: 60:[80, 50, 90], Operations: ['53+37=90']
Exploring Operation: 80-50=30, Resulting Numbers: [90, 30]
Generated Node #3: [90, 30] from Operation: 80-50=30
Current State: 60:[90, 30], Operations: ['53+37=90', '80-50=30']
Exploring Operation: 90-30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[53, 37, 80, 50], Operations: []
Exploring Operation: 80-50=30, Resulting Numbers: [53, 37, 30]
Generated Node #0,0: 60:[53, 37, 30] Operation: 80-50=30
Exploring Operation: 80-53=27, Resulting Numbers: [37, 50, 27]
Generated Node #0,1: 60:[37, 50, 27] Operation: 80-53=27
Exploring Operation: 53-50=3, Resulting Numbers: [37, 80, 3]
Generated Node #0,2: 60:[37, 80, 3] Operation: 53-50=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[53, 37, 30], Operations: ['80-50=30']
Exploring Operation: 37-30=7, Resulting Numbers: [53, 7]
Generated Node #0,0,0: 60:[53, 7] Operation: 37-30=7
Exploring Operation: 53-30=23, Resulting Numbers: [37, 23]
Generated Node #0,0,1: 60:[37, 23] Operation: 53-30=23
Exploring Operation: 53-37=16, Resulting Numbers: [30, 16]
Generated Node #0,0,2: 60:[30, 16] Operation: 53-37=16
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 60:[30, 16], Operations: ['80-50=30', '53-37=16']
Exploring Operation: 30*16=480, Resulting Numbers: [480]
480,60 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 30+16=46, Resulting Numbers: [46]
46,60 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 #0,0,0
Current State: 60:[53, 7], Operations: ['80-50=30', '37-30=7']
Exploring Operation: 53*7=371, Resulting Numbers: [371]
371,60 unequal: No Solution
Exploring Operation: 53+7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[53, 37, 80, 50], Operations: []
Exploring Operation: 80-50=30, Resulting Numbers: [53, 37, 30]
Generated Node #0,0: 60:[53, 37, 30] Operation: 80-50=30
Moving to Node #0,0
Current State: 60:[53, 37, 30], Operations: ['80-50=30']
Exploring Operation: 37-30=7, Resulting Numbers: [53, 7]
Generated Node #0,0,0: 60:[53, 7] Operation: 37-30=7
Moving to Node #0,0,0
Current State: 60:[53, 7], Operations: ['80-50=30', '37-30=7']
Exploring Operation: 53+7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
17,
47,
97,
10
] | 26 | [
"17*10=170",
"47+97=144",
"170-144=26"
] | Current State: 26:[17, 47, 97, 10], Operations: []
Exploring Operation: 17*10=170, Resulting Numbers: [47, 97, 170]
Generated Node #2: [47, 97, 170] from Operation: 17*10=170
Current State: 26:[47, 97, 170], Operations: ['17*10=170']
Exploring Operation: 47+97=144, Resulting Numbers: [170, 144]
Generated Node #3: [170, 144] from Operation: 47+97=144
Current State: 26:[170, 144], Operations: ['17*10=170', '47+97=144']
Exploring Operation: 170-144=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[17, 47, 97, 10], Operations: []
Exploring Operation: 97-47=50, Resulting Numbers: [17, 10, 50]
Generated Node #0,0: 26:[17, 10, 50] Operation: 97-47=50
Moving to Node #0,0
Current State: 26:[17, 10, 50], Operations: ['97-47=50']
Exploring Operation: 50/10=5, Resulting Numbers: [17, 5]
Generated Node #0,0,0: 26:[17, 5] Operation: 50/10=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[17, 5], Operations: ['97-47=50', '50/10=5']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,26 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 |
[
3,
54,
19,
70
] | 73 | [
"3+54=57",
"57/19=3",
"70+3=73"
] | Current State: 73:[3, 54, 19, 70], Operations: []
Exploring Operation: 3+54=57, Resulting Numbers: [19, 70, 57]
Generated Node #2: [19, 70, 57] from Operation: 3+54=57
Current State: 73:[19, 70, 57], Operations: ['3+54=57']
Exploring Operation: 57/19=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 57/19=3
Current State: 73:[70, 3], Operations: ['3+54=57', '57/19=3']
Exploring Operation: 70+3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[3, 54, 19, 70], Operations: []
Exploring Operation: 54+19=73, Resulting Numbers: [3, 70, 73]
Generated Node #0,0: 73:[3, 70, 73] Operation: 54+19=73
Exploring Operation: 3+19=22, Resulting Numbers: [54, 70, 22]
Generated Node #0,1: 73:[54, 70, 22] Operation: 3+19=22
Exploring Operation: 3+54=57, Resulting Numbers: [19, 70, 57]
Generated Node #0,2: 73:[19, 70, 57] Operation: 3+54=57
Exploring Operation: 3*19=57, Resulting Numbers: [54, 70, 57]
Generated Node #0,3: 73:[54, 70, 57] Operation: 3*19=57
Exploring Operation: 3+70=73, Resulting Numbers: [54, 19, 73]
Generated Node #0,4: 73:[54, 19, 73] Operation: 3+70=73
Moving to Node #0,3
Current State: 73:[54, 70, 57], Operations: ['3*19=57']
Exploring Operation: 54+70=124, Resulting Numbers: [57, 124]
Generated Node #0,3,0: 73:[57, 124] Operation: 54+70=124
Exploring Operation: 54+57=111, Resulting Numbers: [70, 111]
Generated Node #0,3,1: 73:[70, 111] Operation: 54+57=111
Exploring Operation: 70+57=127, Resulting Numbers: [54, 127]
Generated Node #0,3,2: 73:[54, 127] Operation: 70+57=127
Exploring Operation: 70-54=16, Resulting Numbers: [57, 16]
Generated Node #0,3,3: 73:[57, 16] Operation: 70-54=16
Exploring Operation: 57-54=3, Resulting Numbers: [70, 3]
Generated Node #0,3,4: 73:[70, 3] Operation: 57-54=3
Moving to Node #0,1
Current State: 73:[54, 70, 22], Operations: ['3+19=22']
Exploring Operation: 70-22=48, Resulting Numbers: [54, 48]
Generated Node #0,1,0: 73:[54, 48] Operation: 70-22=48
Exploring Operation: 54+22=76, Resulting Numbers: [70, 76]
Generated Node #0,1,1: 73:[70, 76] Operation: 54+22=76
Exploring Operation: 54-22=32, Resulting Numbers: [70, 32]
Generated Node #0,1,2: 73:[70, 32] Operation: 54-22=32
Exploring Operation: 70+22=92, Resulting Numbers: [54, 92]
Generated Node #0,1,3: 73:[54, 92] Operation: 70+22=92
Exploring Operation: 54+70=124, Resulting Numbers: [22, 124]
Generated Node #0,1,4: 73:[22, 124] Operation: 54+70=124
Moving to Node #0,4
Current State: 73:[54, 19, 73], Operations: ['3+70=73']
Exploring Operation: 54+73=127, Resulting Numbers: [19, 127]
Generated Node #0,4,0: 73:[19, 127] Operation: 54+73=127
Exploring Operation: 54-19=35, Resulting Numbers: [73, 35]
Generated Node #0,4,1: 73:[73, 35] Operation: 54-19=35
Exploring Operation: 54+19=73, Resulting Numbers: [73, 73]
Generated Node #0,4,2: 73:[73, 73] Operation: 54+19=73
Exploring Operation: 73-19=54, Resulting Numbers: [54, 54]
Generated Node #0,4,3: 73:[54, 54] Operation: 73-19=54
Exploring Operation: 19+73=92, Resulting Numbers: [54, 92]
Generated Node #0,4,4: 73:[54, 92] Operation: 19+73=92
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 73:[73, 73], Operations: ['3+70=73', '54+19=73']
Exploring Operation: 73+73=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 73-73=0, Resulting Numbers: [0]
0,73 unequal: No Solution
Exploring Operation: 73/73=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 73*73=5329, Resulting Numbers: [5329]
5329,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 73:[73, 35], Operations: ['3+70=73', '54-19=35']
Exploring Operation: 73*35=2555, Resulting Numbers: [2555]
2555,73 unequal: No Solution
Exploring Operation: 73+35=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 73-35=38, Resulting Numbers: [38]
38,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 73:[54, 54], Operations: ['3+70=73', '73-19=54']
Exploring Operation: 54+54=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 54-54=0, Resulting Numbers: [0]
0,73 unequal: No Solution
Exploring Operation: 54*54=2916, Resulting Numbers: [2916]
2916,73 unequal: No Solution
Exploring Operation: 54/54=1, Resulting Numbers: [1]
1,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 73:[54, 92], Operations: ['3+70=73', '19+73=92']
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 54*92=4968, Resulting Numbers: [4968]
4968,73 unequal: No Solution
Exploring Operation: 54+92=146, Resulting Numbers: [146]
146,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 73:[19, 127], Operations: ['3+70=73', '54+73=127']
Exploring Operation: 19*127=2413, Resulting Numbers: [2413]
2413,73 unequal: No Solution
Exploring Operation: 19+127=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 127-19=108, Resulting Numbers: [108]
108,73 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: 73:[3, 70, 73], Operations: ['54+19=73']
Exploring Operation: 3+73=76, Resulting Numbers: [70, 76]
Generated Node #0,0,0: 73:[70, 76] Operation: 3+73=76
Exploring Operation: 3+70=73, Resulting Numbers: [73, 73]
Generated Node #0,0,1: 73:[73, 73] Operation: 3+70=73
Exploring Operation: 3*70=210, Resulting Numbers: [73, 210]
Generated Node #0,0,2: 73:[73, 210] Operation: 3*70=210
Exploring Operation: 73-3=70, Resulting Numbers: [70, 70]
Generated Node #0,0,3: 73:[70, 70] Operation: 73-3=70
Exploring Operation: 70-3=67, Resulting Numbers: [73, 67]
Generated Node #0,0,4: 73:[73, 67] Operation: 70-3=67
Moving to Node #0,2
Current State: 73:[19, 70, 57], Operations: ['3+54=57']
Exploring Operation: 57/19=3, Resulting Numbers: [70, 3]
Generated Node #0,2,0: 73:[70, 3] Operation: 57/19=3
Exploring Operation: 57-19=38, Resulting Numbers: [70, 38]
Generated Node #0,2,1: 73:[70, 38] Operation: 57-19=38
Exploring Operation: 19+70=89, Resulting Numbers: [57, 89]
Generated Node #0,2,2: 73:[57, 89] Operation: 19+70=89
Exploring Operation: 19+57=76, Resulting Numbers: [70, 76]
Generated Node #0,2,3: 73:[70, 76] Operation: 19+57=76
Exploring Operation: 70-19=51, Resulting Numbers: [57, 51]
Generated Node #0,2,4: 73:[57, 51] Operation: 70-19=51
Moving to Node #0,0,1
Current State: 73:[73, 73], Operations: ['54+19=73', '3+70=73']
Exploring Operation: 73+73=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 73-73=0, Resulting Numbers: [0]
0,73 unequal: No Solution
Exploring Operation: 73/73=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 73*73=5329, Resulting Numbers: [5329]
5329,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[70, 76], Operations: ['54+19=73', '3+73=76']
Exploring Operation: 70*76=5320, Resulting Numbers: [5320]
5320,73 unequal: No Solution
Exploring Operation: 70+76=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 76-70=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[73, 67], Operations: ['54+19=73', '70-3=67']
Exploring Operation: 73-67=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 73*67=4891, Resulting Numbers: [4891]
4891,73 unequal: No Solution
Exploring Operation: 73+67=140, Resulting Numbers: [140]
140,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[70, 70], Operations: ['54+19=73', '73-3=70']
Exploring Operation: 70*70=4900, Resulting Numbers: [4900]
4900,73 unequal: No Solution
Exploring Operation: 70/70=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 70-70=0, Resulting Numbers: [0]
0,73 unequal: No Solution
Exploring Operation: 70+70=140, Resulting Numbers: [140]
140,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[70, 76], Operations: ['3+19=22', '54+22=76']
Exploring Operation: 70*76=5320, Resulting Numbers: [5320]
5320,73 unequal: No Solution
Exploring Operation: 70+76=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 76-70=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[70, 76], Operations: ['3+54=57', '19+57=76']
Exploring Operation: 70+76=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 76-70=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 70*76=5320, Resulting Numbers: [5320]
5320,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[57, 89], Operations: ['3+54=57', '19+70=89']
Exploring Operation: 57*89=5073, Resulting Numbers: [5073]
5073,73 unequal: No Solution
Exploring Operation: 89-57=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 57+89=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[54, 92], Operations: ['3+19=22', '70+22=92']
Exploring Operation: 54+92=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 54*92=4968, Resulting Numbers: [4968]
4968,73 unequal: No Solution
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Moving to Node #0,2,4
Current State: 73:[57, 51], Operations: ['3+54=57', '70-19=51']
Exploring Operation: 57+51=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 57-51=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 57*51=2907, Resulting Numbers: [2907]
2907,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[70, 38], Operations: ['3+54=57', '57-19=38']
Exploring Operation: 70*38=2660, Resulting Numbers: [2660]
2660,73 unequal: No Solution
Exploring Operation: 70+38=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 70-38=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Moving to Node #0,3,1
Current State: 73:[70, 111], Operations: ['3*19=57', '54+57=111']
Exploring Operation: 70*111=7770, Resulting Numbers: [7770]
7770,73 unequal: No Solution
Exploring Operation: 111-70=41, Resulting Numbers: [41]
41,73 unequal: No Solution
Exploring Operation: 70+111=181, Resulting Numbers: [181]
181,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[54, 48], Operations: ['3+19=22', '70-22=48']
Exploring Operation: 54+48=102, Resulting Numbers: [102]
102,73 unequal: No Solution
Exploring Operation: 54-48=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 54*48=2592, Resulting Numbers: [2592]
2592,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[70, 32], Operations: ['3+19=22', '54-22=32']
Exploring Operation: 70*32=2240, Resulting Numbers: [2240]
2240,73 unequal: No Solution
Exploring Operation: 70+32=102, Resulting Numbers: [102]
102,73 unequal: No Solution
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Moving to Node #0,3,0
Current State: 73:[57, 124], Operations: ['3*19=57', '54+70=124']
Exploring Operation: 124-57=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Exploring Operation: 57+124=181, Resulting Numbers: [181]
181,73 unequal: No Solution
Exploring Operation: 57*124=7068, Resulting Numbers: [7068]
7068,73 unequal: No Solution
Moving to Node #0,3,2
Current State: 73:[54, 127], Operations: ['3*19=57', '70+57=127']
Exploring Operation: 127-54=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[3, 54, 19, 70], Operations: []
Exploring Operation: 3*19=57, Resulting Numbers: [54, 70, 57]
Generated Node #0,3: 73:[54, 70, 57] Operation: 3*19=57
Moving to Node #0,3
Current State: 73:[54, 70, 57], Operations: ['3*19=57']
Exploring Operation: 70+57=127, Resulting Numbers: [54, 127]
Generated Node #0,3,2: 73:[54, 127] Operation: 70+57=127
Moving to Node #0,3,2
Current State: 73:[54, 127], Operations: ['3*19=57', '70+57=127']
Exploring Operation: 127-54=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 0.916667 | hs_5 | sum_heuristic |
[
77,
15,
63,
54
] | 53 | [
"77-15=62",
"63-54=9",
"62-9=53"
] | Current State: 53:[77, 15, 63, 54], Operations: []
Exploring Operation: 77-15=62, Resulting Numbers: [63, 54, 62]
Generated Node #2: [63, 54, 62] from Operation: 77-15=62
Current State: 53:[63, 54, 62], Operations: ['77-15=62']
Exploring Operation: 63-54=9, Resulting Numbers: [62, 9]
Generated Node #3: [62, 9] from Operation: 63-54=9
Current State: 53:[62, 9], Operations: ['77-15=62', '63-54=9']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[77, 15, 63, 54], Operations: []
Exploring Operation: 77-15=62, Resulting Numbers: [63, 54, 62]
Generated Node #0,0: 53:[63, 54, 62] Operation: 77-15=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[63, 54, 62], Operations: ['77-15=62']
Exploring Operation: 63-54=9, Resulting Numbers: [62, 9]
Generated Node #0,0,0: 53:[62, 9] Operation: 63-54=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[62, 9], Operations: ['77-15=62', '63-54=9']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[77, 15, 63, 54], Operations: []
Exploring Operation: 77-15=62, Resulting Numbers: [63, 54, 62]
Generated Node #0,0: 53:[63, 54, 62] Operation: 77-15=62
Moving to Node #0,0
Current State: 53:[63, 54, 62], Operations: ['77-15=62']
Exploring Operation: 63-54=9, Resulting Numbers: [62, 9]
Generated Node #0,0,0: 53:[62, 9] Operation: 63-54=9
Moving to Node #0,0,0
Current State: 53:[62, 9], Operations: ['77-15=62', '63-54=9']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
51,
52,
18,
67
] | 50 | [
"52-51=1",
"67-18=49",
"1+49=50"
] | Current State: 50:[51, 52, 18, 67], Operations: []
Exploring Operation: 52-51=1, Resulting Numbers: [18, 67, 1]
Generated Node #2: [18, 67, 1] from Operation: 52-51=1
Current State: 50:[18, 67, 1], Operations: ['52-51=1']
Exploring Operation: 67-18=49, Resulting Numbers: [1, 49]
Generated Node #3: [1, 49] from Operation: 67-18=49
Current State: 50:[1, 49], Operations: ['52-51=1', '67-18=49']
Exploring Operation: 1+49=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[51, 52, 18, 67], Operations: []
Exploring Operation: 67-18=49, Resulting Numbers: [51, 52, 49]
Generated Node #0,0: 50:[51, 52, 49] Operation: 67-18=49
Moving to Node #0,0
Current State: 50:[51, 52, 49], Operations: ['67-18=49']
Exploring Operation: 52-51=1, Resulting Numbers: [49, 1]
Generated Node #0,0,0: 50:[49, 1] Operation: 52-51=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[49, 1], Operations: ['67-18=49', '52-51=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[51, 52, 18, 67], Operations: []
Exploring Operation: 67-18=49, Resulting Numbers: [51, 52, 49]
Generated Node #0,0: 50:[51, 52, 49] Operation: 67-18=49
Moving to Node #0,0
Current State: 50:[51, 52, 49], Operations: ['67-18=49']
Exploring Operation: 52-51=1, Resulting Numbers: [49, 1]
Generated Node #0,0,0: 50:[49, 1] Operation: 52-51=1
Moving to Node #0,0,0
Current State: 50:[49, 1], Operations: ['67-18=49', '52-51=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
71,
39,
93,
50
] | 77 | [
"71*50=3550",
"39*93=3627",
"3627-3550=77"
] | Current State: 77:[71, 39, 93, 50], Operations: []
Exploring Operation: 71*50=3550, Resulting Numbers: [39, 93, 3550]
Generated Node #2: [39, 93, 3550] from Operation: 71*50=3550
Current State: 77:[39, 93, 3550], Operations: ['71*50=3550']
Exploring Operation: 39*93=3627, Resulting Numbers: [3550, 3627]
Generated Node #3: [3550, 3627] from Operation: 39*93=3627
Current State: 77:[3550, 3627], Operations: ['71*50=3550', '39*93=3627']
Exploring Operation: 3627-3550=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[71, 39, 93, 50], Operations: []
Exploring Operation: 39+50=89, Resulting Numbers: [71, 93, 89]
Generated Node #0,0: 77:[71, 93, 89] Operation: 39+50=89
Exploring Operation: 50-39=11, Resulting Numbers: [71, 93, 11]
Generated Node #0,1: 77:[71, 93, 11] Operation: 50-39=11
Moving to Node #0,1
Current State: 77:[71, 93, 11], Operations: ['50-39=11']
Exploring Operation: 93-71=22, Resulting Numbers: [11, 22]
Generated Node #0,1,0: 77:[11, 22] Operation: 93-71=22
Exploring Operation: 93-11=82, Resulting Numbers: [71, 82]
Generated Node #0,1,1: 77:[71, 82] Operation: 93-11=82
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[11, 22], Operations: ['50-39=11', '93-71=22']
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[71, 82], Operations: ['50-39=11', '93-11=82']
Exploring Operation: 71+82=153, Resulting Numbers: [153]
153,77 unequal: No Solution
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,77 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: 77:[71, 93, 89], Operations: ['39+50=89']
Exploring Operation: 93-71=22, Resulting Numbers: [89, 22]
Generated Node #0,0,0: 77:[89, 22] Operation: 93-71=22
Exploring Operation: 93-89=4, Resulting Numbers: [71, 4]
Generated Node #0,0,1: 77:[71, 4] Operation: 93-89=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[71, 4], Operations: ['39+50=89', '93-89=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[89, 22], Operations: ['39+50=89', '93-71=22']
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 89+22=111, Resulting Numbers: [111]
111,77 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 |
[
88,
60,
92,
98
] | 83 | [
"92-88=4",
"60/4=15",
"98-15=83"
] | Current State: 83:[88, 60, 92, 98], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [60, 98, 4]
Generated Node #2: [60, 98, 4] from Operation: 92-88=4
Current State: 83:[60, 98, 4], Operations: ['92-88=4']
Exploring Operation: 60/4=15, Resulting Numbers: [98, 15]
Generated Node #3: [98, 15] from Operation: 60/4=15
Current State: 83:[98, 15], Operations: ['92-88=4', '60/4=15']
Exploring Operation: 98-15=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[88, 60, 92, 98], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [88, 92, 38]
Generated Node #0,0: 83:[88, 92, 38] Operation: 98-60=38
Exploring Operation: 92-60=32, Resulting Numbers: [88, 98, 32]
Generated Node #0,1: 83:[88, 98, 32] Operation: 92-60=32
Exploring Operation: 88+60=148, Resulting Numbers: [92, 98, 148]
Generated Node #0,2: 83:[92, 98, 148] Operation: 88+60=148
Exploring Operation: 88-60=28, Resulting Numbers: [92, 98, 28]
Generated Node #0,3: 83:[92, 98, 28] Operation: 88-60=28
Moving to Node #0,0
Current State: 83:[88, 92, 38], Operations: ['98-60=38']
Exploring Operation: 92+38=130, Resulting Numbers: [88, 130]
Generated Node #0,0,0: 83:[88, 130] Operation: 92+38=130
Exploring Operation: 92-38=54, Resulting Numbers: [88, 54]
Generated Node #0,0,1: 83:[88, 54] Operation: 92-38=54
Exploring Operation: 88-38=50, Resulting Numbers: [92, 50]
Generated Node #0,0,2: 83:[92, 50] Operation: 88-38=50
Exploring Operation: 88+38=126, Resulting Numbers: [92, 126]
Generated Node #0,0,3: 83:[92, 126] Operation: 88+38=126
Moving to Node #0,1
Current State: 83:[88, 98, 32], Operations: ['92-60=32']
Exploring Operation: 98-32=66, Resulting Numbers: [88, 66]
Generated Node #0,1,0: 83:[88, 66] Operation: 98-32=66
Exploring Operation: 88-32=56, Resulting Numbers: [98, 56]
Generated Node #0,1,1: 83:[98, 56] Operation: 88-32=56
Exploring Operation: 88+32=120, Resulting Numbers: [98, 120]
Generated Node #0,1,2: 83:[98, 120] Operation: 88+32=120
Exploring Operation: 98+32=130, Resulting Numbers: [88, 130]
Generated Node #0,1,3: 83:[88, 130] Operation: 98+32=130
Moving to Node #0,3
Current State: 83:[92, 98, 28], Operations: ['88-60=28']
Exploring Operation: 92-28=64, Resulting Numbers: [98, 64]
Generated Node #0,3,0: 83:[98, 64] Operation: 92-28=64
Exploring Operation: 98+28=126, Resulting Numbers: [92, 126]
Generated Node #0,3,1: 83:[92, 126] Operation: 98+28=126
Exploring Operation: 98-28=70, Resulting Numbers: [92, 70]
Generated Node #0,3,2: 83:[92, 70] Operation: 98-28=70
Exploring Operation: 92+28=120, Resulting Numbers: [98, 120]
Generated Node #0,3,3: 83:[98, 120] Operation: 92+28=120
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 83:[92, 70], Operations: ['88-60=28', '98-28=70']
Exploring Operation: 92+70=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 92*70=6440, Resulting Numbers: [6440]
6440,83 unequal: No Solution
Exploring Operation: 92-70=22, Resulting Numbers: [22]
22,83 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:[98, 64], Operations: ['88-60=28', '92-28=64']
Exploring Operation: 98*64=6272, Resulting Numbers: [6272]
6272,83 unequal: No Solution
Exploring Operation: 98+64=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,83 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:[92, 126], Operations: ['88-60=28', '98+28=126']
Exploring Operation: 126-92=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 92+126=218, Resulting Numbers: [218]
218,83 unequal: No Solution
Exploring Operation: 92*126=11592, Resulting Numbers: [11592]
11592,83 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:[98, 120], Operations: ['88-60=28', '92+28=120']
Exploring Operation: 120-98=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 98*120=11760, Resulting Numbers: [11760]
11760,83 unequal: No Solution
Exploring Operation: 98+120=218, Resulting Numbers: [218]
218,83 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:[92, 98, 148], Operations: ['88+60=148']
Exploring Operation: 98-92=6, Resulting Numbers: [148, 6]
Generated Node #0,2,0: 83:[148, 6] Operation: 98-92=6
Exploring Operation: 92+98=190, Resulting Numbers: [148, 190]
Generated Node #0,2,1: 83:[148, 190] Operation: 92+98=190
Exploring Operation: 148-98=50, Resulting Numbers: [92, 50]
Generated Node #0,2,2: 83:[92, 50] Operation: 148-98=50
Exploring Operation: 148-92=56, Resulting Numbers: [98, 56]
Generated Node #0,2,3: 83:[98, 56] Operation: 148-92=56
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[92, 50], Operations: ['88+60=148', '148-98=50']
Exploring Operation: 92-50=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 92+50=142, Resulting Numbers: [142]
142,83 unequal: No Solution
Exploring Operation: 92*50=4600, Resulting Numbers: [4600]
4600,83 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:[98, 56], Operations: ['88+60=148', '148-92=56']
Exploring Operation: 98-56=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 98+56=154, Resulting Numbers: [154]
154,83 unequal: No Solution
Exploring Operation: 98*56=5488, Resulting Numbers: [5488]
5488,83 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:[148, 6], Operations: ['88+60=148', '98-92=6']
Exploring Operation: 148-6=142, Resulting Numbers: [142]
142,83 unequal: No Solution
Exploring Operation: 148*6=888, Resulting Numbers: [888]
888,83 unequal: No Solution
Exploring Operation: 148+6=154, Resulting Numbers: [154]
154,83 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 #0,2,1
Current State: 83:[148, 190], Operations: ['88+60=148', '92+98=190']
Exploring Operation: 148+190=338, Resulting Numbers: [338]
338,83 unequal: No Solution
Exploring Operation: 148*190=28120, Resulting Numbers: [28120]
28120,83 unequal: No Solution
Exploring Operation: 190-148=42, Resulting Numbers: [42]
42,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 83:[88, 66], Operations: ['92-60=32', '98-32=66']
Exploring Operation: 88*66=5808, Resulting Numbers: [5808]
5808,83 unequal: No Solution
Exploring Operation: 88+66=154, Resulting Numbers: [154]
154,83 unequal: No Solution
Exploring Operation: 88-66=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[88, 54], Operations: ['98-60=38', '92-38=54']
Exploring Operation: 88+54=142, Resulting Numbers: [142]
142,83 unequal: No Solution
Exploring Operation: 88*54=4752, Resulting Numbers: [4752]
4752,83 unequal: No Solution
Exploring Operation: 88-54=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[98, 56], Operations: ['92-60=32', '88-32=56']
Exploring Operation: 98+56=154, Resulting Numbers: [154]
154,83 unequal: No Solution
Exploring Operation: 98*56=5488, Resulting Numbers: [5488]
5488,83 unequal: No Solution
Exploring Operation: 98-56=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[92, 50], Operations: ['98-60=38', '88-38=50']
Exploring Operation: 92-50=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 92+50=142, Resulting Numbers: [142]
142,83 unequal: No Solution
Exploring Operation: 92*50=4600, Resulting Numbers: [4600]
4600,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[88, 130], Operations: ['98-60=38', '92+38=130']
Exploring Operation: 88*130=11440, Resulting Numbers: [11440]
11440,83 unequal: No Solution
Exploring Operation: 88+130=218, Resulting Numbers: [218]
218,83 unequal: No Solution
Exploring Operation: 130-88=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[98, 120], Operations: ['92-60=32', '88+32=120']
Exploring Operation: 98+120=218, Resulting Numbers: [218]
218,83 unequal: No Solution
Exploring Operation: 98*120=11760, Resulting Numbers: [11760]
11760,83 unequal: No Solution
Exploring Operation: 120-98=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[88, 130], Operations: ['92-60=32', '98+32=130']
Exploring Operation: 88*130=11440, Resulting Numbers: [11440]
11440,83 unequal: No Solution
Exploring Operation: 130-88=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 88+130=218, Resulting Numbers: [218]
218,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[92, 126], Operations: ['98-60=38', '88+38=126']
Exploring Operation: 126-92=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 92+126=218, Resulting Numbers: [218]
218,83 unequal: No Solution
Exploring Operation: 92*126=11592, Resulting Numbers: [11592]
11592,83 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
19,
78,
22,
56
] | 93 | [
"78-19=59",
"56-22=34",
"59+34=93"
] | Current State: 93:[19, 78, 22, 56], Operations: []
Exploring Operation: 78-19=59, Resulting Numbers: [22, 56, 59]
Generated Node #2: [22, 56, 59] from Operation: 78-19=59
Current State: 93:[22, 56, 59], Operations: ['78-19=59']
Exploring Operation: 56-22=34, Resulting Numbers: [59, 34]
Generated Node #3: [59, 34] from Operation: 56-22=34
Current State: 93:[59, 34], Operations: ['78-19=59', '56-22=34']
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[19, 78, 22, 56], Operations: []
Exploring Operation: 78-56=22, Resulting Numbers: [19, 22, 22]
Generated Node #0,0: 93:[19, 22, 22] Operation: 78-56=22
Exploring Operation: 19+78=97, Resulting Numbers: [22, 56, 97]
Generated Node #0,1: 93:[22, 56, 97] Operation: 19+78=97
Exploring Operation: 22-19=3, Resulting Numbers: [78, 56, 3]
Generated Node #0,2: 93:[78, 56, 3] Operation: 22-19=3
Exploring Operation: 56-19=37, Resulting Numbers: [78, 22, 37]
Generated Node #0,3: 93:[78, 22, 37] Operation: 56-19=37
Exploring Operation: 56-22=34, Resulting Numbers: [19, 78, 34]
Generated Node #0,4: 93:[19, 78, 34] Operation: 56-22=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[19, 22, 22], Operations: ['78-56=22']
Exploring Operation: 22-22=0, Resulting Numbers: [19, 0]
Generated Node #0,0,0: 93:[19, 0] Operation: 22-22=0
Exploring Operation: 22-19=3, Resulting Numbers: [22, 3]
Generated Node #0,0,1: 93:[22, 3] Operation: 22-19=3
Exploring Operation: 19+22=41, Resulting Numbers: [22, 41]
Generated Node #0,0,2: 93:[22, 41] Operation: 19+22=41
Exploring Operation: 22/22=1, Resulting Numbers: [19, 1]
Generated Node #0,0,3: 93:[19, 1] Operation: 22/22=1
Exploring Operation: 22-19=3, Resulting Numbers: [22, 3]
Generated Node #0,0,4: 93:[22, 3] Operation: 22-19=3
Moving to Node #0,0,1
Current State: 93:[22, 3], Operations: ['78-56=22', '22-19=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,93 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Moving to Node #0,0,4
Current State: 93:[22, 3], Operations: ['78-56=22', '22-19=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[19, 1], Operations: ['78-56=22', '22/22=1']
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,93 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[19, 0], Operations: ['78-56=22', '22-22=0']
Exploring Operation: 19+0=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 19*0=0, Resulting Numbers: [0]
0,93 unequal: No Solution
Exploring Operation: 19-0=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[22, 41], Operations: ['78-56=22', '19+22=41']
Exploring Operation: 22+41=63, Resulting Numbers: [63]
63,93 unequal: No Solution
Exploring Operation: 22*41=902, Resulting Numbers: [902]
902,93 unequal: No Solution
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[78, 22, 37], Operations: ['56-19=37']
Exploring Operation: 78-22=56, Resulting Numbers: [37, 56]
Generated Node #0,3,0: 93:[37, 56] Operation: 78-22=56
Exploring Operation: 78+22=100, Resulting Numbers: [37, 100]
Generated Node #0,3,1: 93:[37, 100] Operation: 78+22=100
Exploring Operation: 78+37=115, Resulting Numbers: [22, 115]
Generated Node #0,3,2: 93:[22, 115] Operation: 78+37=115
Exploring Operation: 78-37=41, Resulting Numbers: [22, 41]
Generated Node #0,3,3: 93:[22, 41] Operation: 78-37=41
Exploring Operation: 37-22=15, Resulting Numbers: [78, 15]
Generated Node #0,3,4: 93:[78, 15] Operation: 37-22=15
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 93:[37, 100], Operations: ['56-19=37', '78+22=100']
Exploring Operation: 37+100=137, Resulting Numbers: [137]
137,93 unequal: No Solution
Exploring Operation: 37*100=3700, Resulting Numbers: [3700]
3700,93 unequal: No Solution
Exploring Operation: 100-37=63, Resulting Numbers: [63]
63,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 93:[22, 41], Operations: ['56-19=37', '78-37=41']
Exploring Operation: 22+41=63, Resulting Numbers: [63]
63,93 unequal: No Solution
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 22*41=902, Resulting Numbers: [902]
902,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 93:[78, 15], Operations: ['56-19=37', '37-22=15']
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,93 unequal: No Solution
Exploring Operation: 78+15=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[19, 78, 22, 56], Operations: []
Exploring Operation: 56-19=37, Resulting Numbers: [78, 22, 37]
Generated Node #0,3: 93:[78, 22, 37] Operation: 56-19=37
Moving to Node #0,3
Current State: 93:[78, 22, 37], Operations: ['56-19=37']
Exploring Operation: 37-22=15, Resulting Numbers: [78, 15]
Generated Node #0,3,4: 93:[78, 15] Operation: 37-22=15
Moving to Node #0,3,4
Current State: 93:[78, 15], Operations: ['56-19=37', '37-22=15']
Exploring Operation: 78+15=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.962674 | hs_5 | mult_heuristic |
[
20,
83,
66,
26
] | 78 | [
"83-20=63",
"66-63=3",
"26*3=78"
] | Current State: 78:[20, 83, 66, 26], Operations: []
Exploring Operation: 83-20=63, Resulting Numbers: [66, 26, 63]
Generated Node #2: [66, 26, 63] from Operation: 83-20=63
Current State: 78:[66, 26, 63], Operations: ['83-20=63']
Exploring Operation: 66-63=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 66-63=3
Current State: 78:[26, 3], Operations: ['83-20=63', '66-63=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[20, 83, 66, 26], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [20, 26, 17]
Generated Node #0,0: 78:[20, 26, 17] Operation: 83-66=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[20, 26, 17], Operations: ['83-66=17']
Exploring Operation: 20-17=3, Resulting Numbers: [26, 3]
Generated Node #0,0,0: 78:[26, 3] Operation: 20-17=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[26, 3], Operations: ['83-66=17', '20-17=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[20, 83, 66, 26], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [20, 26, 17]
Generated Node #0,0: 78:[20, 26, 17] Operation: 83-66=17
Moving to Node #0,0
Current State: 78:[20, 26, 17], Operations: ['83-66=17']
Exploring Operation: 20-17=3, Resulting Numbers: [26, 3]
Generated Node #0,0,0: 78:[26, 3] Operation: 20-17=3
Moving to Node #0,0,0
Current State: 78:[26, 3], Operations: ['83-66=17', '20-17=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
27,
80,
72,
4
] | 29 | [
"80-72=8",
"8/4=2",
"27+2=29"
] | Current State: 29:[27, 80, 72, 4], Operations: []
Exploring Operation: 80-72=8, Resulting Numbers: [27, 4, 8]
Generated Node #2: [27, 4, 8] from Operation: 80-72=8
Current State: 29:[27, 4, 8], Operations: ['80-72=8']
Exploring Operation: 8/4=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 8/4=2
Current State: 29:[27, 2], Operations: ['80-72=8', '8/4=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[27, 80, 72, 4], Operations: []
Exploring Operation: 80/4=20, Resulting Numbers: [27, 72, 20]
Generated Node #0,0: 29:[27, 72, 20] Operation: 80/4=20
Exploring Operation: 80-72=8, Resulting Numbers: [27, 4, 8]
Generated Node #0,1: 29:[27, 4, 8] Operation: 80-72=8
Exploring Operation: 80-27=53, Resulting Numbers: [72, 4, 53]
Generated Node #0,2: 29:[72, 4, 53] Operation: 80-27=53
Exploring Operation: 72/4=18, Resulting Numbers: [27, 80, 18]
Generated Node #0,3: 29:[27, 80, 18] Operation: 72/4=18
Exploring Operation: 72-27=45, Resulting Numbers: [80, 4, 45]
Generated Node #0,4: 29:[80, 4, 45] Operation: 72-27=45
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[27, 4, 8], Operations: ['80-72=8']
Exploring Operation: 4+8=12, Resulting Numbers: [27, 12]
Generated Node #0,1,0: 29:[27, 12] Operation: 4+8=12
Exploring Operation: 8-4=4, Resulting Numbers: [27, 4]
Generated Node #0,1,1: 29:[27, 4] Operation: 8-4=4
Exploring Operation: 4*8=32, Resulting Numbers: [27, 32]
Generated Node #0,1,2: 29:[27, 32] Operation: 4*8=32
Exploring Operation: 27-4=23, Resulting Numbers: [8, 23]
Generated Node #0,1,3: 29:[8, 23] Operation: 27-4=23
Exploring Operation: 27+4=31, Resulting Numbers: [8, 31]
Generated Node #0,1,4: 29:[8, 31] Operation: 27+4=31
Moving to Node #0,1,2
Current State: 29:[27, 32], Operations: ['80-72=8', '4*8=32']
Exploring Operation: 27+32=59, Resulting Numbers: [59]
59,29 unequal: No Solution
Exploring Operation: 27*32=864, Resulting Numbers: [864]
864,29 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[27, 12], Operations: ['80-72=8', '4+8=12']
Exploring Operation: 27*12=324, Resulting Numbers: [324]
324,29 unequal: No Solution
Exploring Operation: 27+12=39, Resulting Numbers: [39]
39,29 unequal: No Solution
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,29 unequal: No Solution
Moving to Node #0,1,4
Current State: 29:[8, 31], Operations: ['80-72=8', '27+4=31']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,29 unequal: No Solution
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,29 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[27, 4], Operations: ['80-72=8', '8-4=4']
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,29 unequal: No Solution
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,29 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,29 unequal: No Solution
Moving to Node #0,1,3
Current State: 29:[8, 23], Operations: ['80-72=8', '27-4=23']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,29 unequal: No Solution
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,29 unequal: No Solution
Exploring Operation: 8*23=184, Resulting Numbers: [184]
184,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[27, 72, 20], Operations: ['80/4=20']
Exploring Operation: 72+20=92, Resulting Numbers: [27, 92]
Generated Node #0,0,0: 29:[27, 92] Operation: 72+20=92
Exploring Operation: 27-20=7, Resulting Numbers: [72, 7]
Generated Node #0,0,1: 29:[72, 7] Operation: 27-20=7
Exploring Operation: 72-20=52, Resulting Numbers: [27, 52]
Generated Node #0,0,2: 29:[27, 52] Operation: 72-20=52
Exploring Operation: 72-27=45, Resulting Numbers: [20, 45]
Generated Node #0,0,3: 29:[20, 45] Operation: 72-27=45
Exploring Operation: 27+20=47, Resulting Numbers: [72, 47]
Generated Node #0,0,4: 29:[72, 47] Operation: 27+20=47
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 29:[27, 52], Operations: ['80/4=20', '72-20=52']
Exploring Operation: 27*52=1404, Resulting Numbers: [1404]
1404,29 unequal: No Solution
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,29 unequal: No Solution
Exploring Operation: 27+52=79, Resulting Numbers: [79]
79,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 29:[20, 45], Operations: ['80/4=20', '72-27=45']
Exploring Operation: 20+45=65, Resulting Numbers: [65]
65,29 unequal: No Solution
Exploring Operation: 20*45=900, Resulting Numbers: [900]
900,29 unequal: No Solution
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 29:[72, 47], Operations: ['80/4=20', '27+20=47']
Exploring Operation: 72*47=3384, Resulting Numbers: [3384]
3384,29 unequal: No Solution
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,29 unequal: No Solution
Exploring Operation: 72+47=119, Resulting Numbers: [119]
119,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 29:[27, 92], Operations: ['80/4=20', '72+20=92']
Exploring Operation: 27*92=2484, Resulting Numbers: [2484]
2484,29 unequal: No Solution
Exploring Operation: 27+92=119, Resulting Numbers: [119]
119,29 unequal: No Solution
Exploring Operation: 92-27=65, Resulting Numbers: [65]
65,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 29:[72, 7], Operations: ['80/4=20', '27-20=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,29 unequal: No Solution
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,29 unequal: No Solution
Exploring Operation: 72*7=504, Resulting Numbers: [504]
504,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 29:[27, 80, 18], Operations: ['72/4=18']
Exploring Operation: 80-18=62, Resulting Numbers: [27, 62]
Generated Node #0,3,0: 29:[27, 62] Operation: 80-18=62
Exploring Operation: 80-27=53, Resulting Numbers: [18, 53]
Generated Node #0,3,1: 29:[18, 53] Operation: 80-27=53
Exploring Operation: 27-18=9, Resulting Numbers: [80, 9]
Generated Node #0,3,2: 29:[80, 9] Operation: 27-18=9
Exploring Operation: 80+18=98, Resulting Numbers: [27, 98]
Generated Node #0,3,3: 29:[27, 98] Operation: 80+18=98
Exploring Operation: 27+18=45, Resulting Numbers: [80, 45]
Generated Node #0,3,4: 29:[80, 45] Operation: 27+18=45
Moving to Node #0,3,0
Current State: 29:[27, 62], Operations: ['72/4=18', '80-18=62']
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 27+62=89, Resulting Numbers: [89]
89,29 unequal: No Solution
Exploring Operation: 27*62=1674, Resulting Numbers: [1674]
1674,29 unequal: No Solution
Moving to Node #0,3,1
Current State: 29:[18, 53], Operations: ['72/4=18', '80-27=53']
Exploring Operation: 18*53=954, Resulting Numbers: [954]
954,29 unequal: No Solution
Exploring Operation: 18+53=71, Resulting Numbers: [71]
71,29 unequal: No Solution
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Moving to Node #0,3,4
Current State: 29:[80, 45], Operations: ['72/4=18', '27+18=45']
Exploring Operation: 80-45=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 80+45=125, Resulting Numbers: [125]
125,29 unequal: No Solution
Exploring Operation: 80*45=3600, Resulting Numbers: [3600]
3600,29 unequal: No Solution
Moving to Node #0,3,2
Current State: 29:[80, 9], Operations: ['72/4=18', '27-18=9']
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,29 unequal: No Solution
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,29 unequal: No Solution
Exploring Operation: 80*9=720, Resulting Numbers: [720]
720,29 unequal: No Solution
Moving to Node #0,3,3
Current State: 29:[27, 98], Operations: ['72/4=18', '80+18=98']
Exploring Operation: 27+98=125, Resulting Numbers: [125]
125,29 unequal: No Solution
Exploring Operation: 27*98=2646, Resulting Numbers: [2646]
2646,29 unequal: No Solution
Exploring Operation: 98-27=71, Resulting Numbers: [71]
71,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[72, 4, 53], Operations: ['80-27=53']
Exploring Operation: 72-4=68, Resulting Numbers: [53, 68]
Generated Node #0,2,0: 29:[53, 68] Operation: 72-4=68
Exploring Operation: 53-4=49, Resulting Numbers: [72, 49]
Generated Node #0,2,1: 29:[72, 49] Operation: 53-4=49
Exploring Operation: 72+4=76, Resulting Numbers: [53, 76]
Generated Node #0,2,2: 29:[53, 76] Operation: 72+4=76
Exploring Operation: 72-53=19, Resulting Numbers: [4, 19]
Generated Node #0,2,3: 29:[4, 19] Operation: 72-53=19
Exploring Operation: 72/4=18, Resulting Numbers: [53, 18]
Generated Node #0,2,4: 29:[53, 18] Operation: 72/4=18
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 29:[4, 19], Operations: ['80-27=53', '72-53=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,29 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 29:[53, 18], Operations: ['80-27=53', '72/4=18']
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 53*18=954, Resulting Numbers: [954]
954,29 unequal: No Solution
Exploring Operation: 53+18=71, Resulting Numbers: [71]
71,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 29:[53, 68], Operations: ['80-27=53', '72-4=68']
Exploring Operation: 53+68=121, Resulting Numbers: [121]
121,29 unequal: No Solution
Exploring Operation: 68-53=15, Resulting Numbers: [15]
15,29 unequal: No Solution
Exploring Operation: 53*68=3604, Resulting Numbers: [3604]
3604,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 29:[72, 49], Operations: ['80-27=53', '53-4=49']
Exploring Operation: 72+49=121, Resulting Numbers: [121]
121,29 unequal: No Solution
Exploring Operation: 72*49=3528, Resulting Numbers: [3528]
3528,29 unequal: No Solution
Exploring Operation: 72-49=23, Resulting Numbers: [23]
23,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 29:[53, 76], Operations: ['80-27=53', '72+4=76']
Exploring Operation: 53+76=129, Resulting Numbers: [129]
129,29 unequal: No Solution
Exploring Operation: 53*76=4028, Resulting Numbers: [4028]
4028,29 unequal: No Solution
Exploring Operation: 76-53=23, Resulting Numbers: [23]
23,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 29:[80, 4, 45], Operations: ['72-27=45']
Exploring Operation: 80-4=76, Resulting Numbers: [45, 76]
Generated Node #0,4,0: 29:[45, 76] Operation: 80-4=76
Exploring Operation: 45-4=41, Resulting Numbers: [80, 41]
Generated Node #0,4,1: 29:[80, 41] Operation: 45-4=41
Exploring Operation: 80/4=20, Resulting Numbers: [45, 20]
Generated Node #0,4,2: 29:[45, 20] Operation: 80/4=20
Exploring Operation: 80+4=84, Resulting Numbers: [45, 84]
Generated Node #0,4,3: 29:[45, 84] Operation: 80+4=84
Exploring Operation: 80-45=35, Resulting Numbers: [4, 35]
Generated Node #0,4,4: 29:[4, 35] Operation: 80-45=35
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 29:[45, 20], Operations: ['72-27=45', '80/4=20']
Exploring Operation: 45+20=65, Resulting Numbers: [65]
65,29 unequal: No Solution
Exploring Operation: 45*20=900, Resulting Numbers: [900]
900,29 unequal: No Solution
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 29:[4, 35], Operations: ['72-27=45', '80-45=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,29 unequal: No Solution
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,29 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 29:[45, 76], Operations: ['72-27=45', '80-4=76']
Exploring Operation: 45*76=3420, Resulting Numbers: [3420]
3420,29 unequal: No Solution
Exploring Operation: 45+76=121, Resulting Numbers: [121]
121,29 unequal: No Solution
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 29:[80, 41], Operations: ['72-27=45', '45-4=41']
Exploring Operation: 80-41=39, Resulting Numbers: [39]
39,29 unequal: No Solution
Exploring Operation: 80+41=121, Resulting Numbers: [121]
121,29 unequal: No Solution
Exploring Operation: 80*41=3280, Resulting Numbers: [3280]
3280,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 29:[45, 84], Operations: ['72-27=45', '80+4=84']
Exploring Operation: 84-45=39, Resulting Numbers: [39]
39,29 unequal: No Solution
Exploring Operation: 45*84=3780, Resulting Numbers: [3780]
3780,29 unequal: No Solution
Exploring Operation: 45+84=129, Resulting Numbers: [129]
129,29 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_5 | mult_heuristic |
[
70,
68,
6,
96
] | 88 | [
"70-68=2",
"96-6=90",
"90-2=88"
] | Current State: 88:[70, 68, 6, 96], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [6, 96, 2]
Generated Node #2: [6, 96, 2] from Operation: 70-68=2
Current State: 88:[6, 96, 2], Operations: ['70-68=2']
Exploring Operation: 96-6=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 96-6=90
Current State: 88:[2, 90], Operations: ['70-68=2', '96-6=90']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[70, 68, 6, 96], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [6, 96, 2]
Generated Node #0,0: 88:[6, 96, 2] Operation: 70-68=2
Moving to Node #0,0
Current State: 88:[6, 96, 2], Operations: ['70-68=2']
Exploring Operation: 96-6=90, Resulting Numbers: [2, 90]
Generated Node #0,0,0: 88:[2, 90] Operation: 96-6=90
Moving to Node #0,0,0
Current State: 88:[2, 90], Operations: ['70-68=2', '96-6=90']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[70, 68, 6, 96], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [6, 96, 2]
Generated Node #0,0: 88:[6, 96, 2] Operation: 70-68=2
Moving to Node #0,0
Current State: 88:[6, 96, 2], Operations: ['70-68=2']
Exploring Operation: 96-6=90, Resulting Numbers: [2, 90]
Generated Node #0,0,0: 88:[2, 90] Operation: 96-6=90
Moving to Node #0,0,0
Current State: 88:[2, 90], Operations: ['70-68=2', '96-6=90']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
83,
31,
50,
38
] | 85 | [
"50-31=19",
"38/19=2",
"83+2=85"
] | Current State: 85:[83, 31, 50, 38], Operations: []
Exploring Operation: 50-31=19, Resulting Numbers: [83, 38, 19]
Generated Node #2: [83, 38, 19] from Operation: 50-31=19
Current State: 85:[83, 38, 19], Operations: ['50-31=19']
Exploring Operation: 38/19=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 38/19=2
Current State: 85:[83, 2], Operations: ['50-31=19', '38/19=2']
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[83, 31, 50, 38], Operations: []
Exploring Operation: 50-38=12, Resulting Numbers: [83, 31, 12]
Generated Node #0,0: 85:[83, 31, 12] Operation: 50-38=12
Exploring Operation: 50+38=88, Resulting Numbers: [83, 31, 88]
Generated Node #0,1: 85:[83, 31, 88] Operation: 50+38=88
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[83, 31, 88], Operations: ['50+38=88']
Exploring Operation: 88-83=5, Resulting Numbers: [31, 5]
Generated Node #0,1,0: 85:[31, 5] Operation: 88-83=5
Exploring Operation: 88-31=57, Resulting Numbers: [83, 57]
Generated Node #0,1,1: 85:[83, 57] Operation: 88-31=57
Moving to Node #0,1,0
Current State: 85:[31, 5], Operations: ['50+38=88', '88-83=5']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,85 unequal: No Solution
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,85 unequal: No Solution
Moving to Node #0,1,1
Current State: 85:[83, 57], Operations: ['50+38=88', '88-31=57']
Exploring Operation: 83-57=26, Resulting Numbers: [26]
26,85 unequal: No Solution
Exploring Operation: 83+57=140, Resulting Numbers: [140]
140,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[83, 31, 12], Operations: ['50-38=12']
Exploring Operation: 83+12=95, Resulting Numbers: [31, 95]
Generated Node #0,0,0: 85:[31, 95] Operation: 83+12=95
Exploring Operation: 31-12=19, Resulting Numbers: [83, 19]
Generated Node #0,0,1: 85:[83, 19] Operation: 31-12=19
Moving to Node #0,0,1
Current State: 85:[83, 19], Operations: ['50-38=12', '31-12=19']
Exploring Operation: 83-19=64, Resulting Numbers: [64]
64,85 unequal: No Solution
Exploring Operation: 83+19=102, Resulting Numbers: [102]
102,85 unequal: No Solution
Moving to Node #0,0,0
Current State: 85:[31, 95], Operations: ['50-38=12', '83+12=95']
Exploring Operation: 31+95=126, Resulting Numbers: [126]
126,85 unequal: No Solution
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
98,
61,
16,
97
] | 46 | [
"98+61=159",
"16+97=113",
"159-113=46"
] | Current State: 46:[98, 61, 16, 97], Operations: []
Exploring Operation: 98+61=159, Resulting Numbers: [16, 97, 159]
Generated Node #2: [16, 97, 159] from Operation: 98+61=159
Current State: 46:[16, 97, 159], Operations: ['98+61=159']
Exploring Operation: 16+97=113, Resulting Numbers: [159, 113]
Generated Node #3: [159, 113] from Operation: 16+97=113
Current State: 46:[159, 113], Operations: ['98+61=159', '16+97=113']
Exploring Operation: 159-113=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[98, 61, 16, 97], Operations: []
Exploring Operation: 98-16=82, Resulting Numbers: [61, 97, 82]
Generated Node #0,0: 46:[61, 97, 82] Operation: 98-16=82
Exploring Operation: 98-61=37, Resulting Numbers: [16, 97, 37]
Generated Node #0,1: 46:[16, 97, 37] Operation: 98-61=37
Exploring Operation: 98-97=1, Resulting Numbers: [61, 16, 1]
Generated Node #0,2: 46:[61, 16, 1] Operation: 98-97=1
Exploring Operation: 97-61=36, Resulting Numbers: [98, 16, 36]
Generated Node #0,3: 46:[98, 16, 36] Operation: 97-61=36
Moving to Node #0,2
Current State: 46:[61, 16, 1], Operations: ['98-97=1']
Exploring Operation: 16+1=17, Resulting Numbers: [61, 17]
Generated Node #0,2,0: 46:[61, 17] Operation: 16+1=17
Exploring Operation: 61-1=60, Resulting Numbers: [16, 60]
Generated Node #0,2,1: 46:[16, 60] Operation: 61-1=60
Exploring Operation: 61-16=45, Resulting Numbers: [1, 45]
Generated Node #0,2,2: 46:[1, 45] Operation: 61-16=45
Exploring Operation: 61*1=61, Resulting Numbers: [16, 61]
Generated Node #0,2,3: 46:[16, 61] Operation: 61*1=61
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 46:[1, 45], Operations: ['98-97=1', '61-16=45']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 1*45=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 1+45=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[98, 61, 16, 97], Operations: []
Exploring Operation: 98-97=1, Resulting Numbers: [61, 16, 1]
Generated Node #0,2: 46:[61, 16, 1] Operation: 98-97=1
Moving to Node #0,2
Current State: 46:[61, 16, 1], Operations: ['98-97=1']
Exploring Operation: 61-16=45, Resulting Numbers: [1, 45]
Generated Node #0,2,2: 46:[1, 45] Operation: 61-16=45
Moving to Node #0,2,2
Current State: 46:[1, 45], Operations: ['98-97=1', '61-16=45']
Exploring Operation: 1+45=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
6,
72,
51,
69
] | 96 | [
"6+72=78",
"69-51=18",
"78+18=96"
] | Current State: 96:[6, 72, 51, 69], Operations: []
Exploring Operation: 6+72=78, Resulting Numbers: [51, 69, 78]
Generated Node #2: [51, 69, 78] from Operation: 6+72=78
Current State: 96:[51, 69, 78], Operations: ['6+72=78']
Exploring Operation: 69-51=18, Resulting Numbers: [78, 18]
Generated Node #3: [78, 18] from Operation: 69-51=18
Current State: 96:[78, 18], Operations: ['6+72=78', '69-51=18']
Exploring Operation: 78+18=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[6, 72, 51, 69], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [6, 51, 3]
Generated Node #0,0: 96:[6, 51, 3] Operation: 72-69=3
Moving to Node #0,0
Current State: 96:[6, 51, 3], Operations: ['72-69=3']
Exploring Operation: 51-3=48, Resulting Numbers: [6, 48]
Generated Node #0,0,0: 96:[6, 48] Operation: 51-3=48
Moving to Node #0,0,0
Current State: 96:[6, 48], Operations: ['72-69=3', '51-3=48']
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,96 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
4,
32,
31,
11
] | 34 | [
"32/4=8",
"31+11=42",
"42-8=34"
] | Current State: 34:[4, 32, 31, 11], Operations: []
Exploring Operation: 32/4=8, Resulting Numbers: [31, 11, 8]
Generated Node #2: [31, 11, 8] from Operation: 32/4=8
Current State: 34:[31, 11, 8], Operations: ['32/4=8']
Exploring Operation: 31+11=42, Resulting Numbers: [8, 42]
Generated Node #3: [8, 42] from Operation: 31+11=42
Current State: 34:[8, 42], Operations: ['32/4=8', '31+11=42']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[4, 32, 31, 11], Operations: []
Exploring Operation: 4+31=35, Resulting Numbers: [32, 11, 35]
Generated Node #0,0: 34:[32, 11, 35] Operation: 4+31=35
Exploring Operation: 31-11=20, Resulting Numbers: [4, 32, 20]
Generated Node #0,1: 34:[4, 32, 20] Operation: 31-11=20
Exploring Operation: 4+11=15, Resulting Numbers: [32, 31, 15]
Generated Node #0,2: 34:[32, 31, 15] Operation: 4+11=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[4, 32, 20], Operations: ['31-11=20']
Exploring Operation: 4+32=36, Resulting Numbers: [20, 36]
Generated Node #0,1,0: 34:[20, 36] Operation: 4+32=36
Exploring Operation: 20-4=16, Resulting Numbers: [32, 16]
Generated Node #0,1,1: 34:[32, 16] Operation: 20-4=16
Exploring Operation: 20/4=5, Resulting Numbers: [32, 5]
Generated Node #0,1,2: 34:[32, 5] Operation: 20/4=5
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 34:[32, 16], Operations: ['31-11=20', '20-4=16']
Exploring Operation: 32+16=48, Resulting Numbers: [48]
48,34 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 34:[20, 36], Operations: ['31-11=20', '4+32=36']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,34 unequal: No Solution
Exploring Operation: 20*36=720, Resulting Numbers: [720]
720,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 34:[32, 5], Operations: ['31-11=20', '20/4=5']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,34 unequal: No Solution
Exploring Operation: 32*5=160, Resulting Numbers: [160]
160,34 unequal: No Solution
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 34:[32, 31, 15], Operations: ['4+11=15']
Exploring Operation: 32-15=17, Resulting Numbers: [31, 17]
Generated Node #0,2,0: 34:[31, 17] Operation: 32-15=17
Exploring Operation: 31-15=16, Resulting Numbers: [32, 16]
Generated Node #0,2,1: 34:[32, 16] Operation: 31-15=16
Exploring Operation: 32-31=1, Resulting Numbers: [15, 1]
Generated Node #0,2,2: 34:[15, 1] Operation: 32-31=1
Moving to Node #0,2,0
Current State: 34:[31, 17], Operations: ['4+11=15', '32-15=17']
Exploring Operation: 31+17=48, Resulting Numbers: [48]
48,34 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,34 unequal: No Solution
Exploring Operation: 31*17=527, Resulting Numbers: [527]
527,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[32, 16], Operations: ['4+11=15', '31-15=16']
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 32+16=48, Resulting Numbers: [48]
48,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[15, 1], Operations: ['4+11=15', '32-31=1']
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[32, 11, 35], Operations: ['4+31=35']
Exploring Operation: 32-11=21, Resulting Numbers: [35, 21]
Generated Node #0,0,0: 34:[35, 21] Operation: 32-11=21
Exploring Operation: 35-11=24, Resulting Numbers: [32, 24]
Generated Node #0,0,1: 34:[32, 24] Operation: 35-11=24
Exploring Operation: 35-32=3, Resulting Numbers: [11, 3]
Generated Node #0,0,2: 34:[11, 3] Operation: 35-32=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 34:[35, 21], Operations: ['4+31=35', '32-11=21']
Exploring Operation: 35+21=56, Resulting Numbers: [56]
56,34 unequal: No Solution
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,34 unequal: No Solution
Exploring Operation: 35*21=735, Resulting Numbers: [735]
735,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 34:[11, 3], Operations: ['4+31=35', '35-32=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,34 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,34 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 34:[32, 24], Operations: ['4+31=35', '35-11=24']
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,34 unequal: No Solution
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,34 unequal: No Solution
Exploring Operation: 32*24=768, Resulting Numbers: [768]
768,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
11,
56,
62,
44
] | 27 | [
"56-11=45",
"62-44=18",
"45-18=27"
] | Current State: 27:[11, 56, 62, 44], Operations: []
Exploring Operation: 56-11=45, Resulting Numbers: [62, 44, 45]
Generated Node #2: [62, 44, 45] from Operation: 56-11=45
Current State: 27:[62, 44, 45], Operations: ['56-11=45']
Exploring Operation: 62-44=18, Resulting Numbers: [45, 18]
Generated Node #3: [45, 18] from Operation: 62-44=18
Current State: 27:[45, 18], Operations: ['56-11=45', '62-44=18']
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[11, 56, 62, 44], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [11, 44, 6]
Generated Node #0,0: 27:[11, 44, 6] Operation: 62-56=6
Exploring Operation: 56-44=12, Resulting Numbers: [11, 62, 12]
Generated Node #0,1: 27:[11, 62, 12] Operation: 56-44=12
Exploring Operation: 62-44=18, Resulting Numbers: [11, 56, 18]
Generated Node #0,2: 27:[11, 56, 18] Operation: 62-44=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[11, 44, 6], Operations: ['62-56=6']
Exploring Operation: 44/11=4, Resulting Numbers: [6, 4]
Generated Node #0,0,0: 27:[6, 4] Operation: 44/11=4
Exploring Operation: 44-11=33, Resulting Numbers: [6, 33]
Generated Node #0,0,1: 27:[6, 33] Operation: 44-11=33
Exploring Operation: 44-6=38, Resulting Numbers: [11, 38]
Generated Node #0,0,2: 27:[11, 38] Operation: 44-6=38
Moving to Node #0,0,0
Current State: 27:[6, 4], Operations: ['62-56=6', '44/11=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,27 unequal: No Solution
Moving to Node #0,0,1
Current State: 27:[6, 33], Operations: ['62-56=6', '44-11=33']
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,27 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[11, 56, 62, 44], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [11, 44, 6]
Generated Node #0,0: 27:[11, 44, 6] Operation: 62-56=6
Moving to Node #0,0
Current State: 27:[11, 44, 6], Operations: ['62-56=6']
Exploring Operation: 44-11=33, Resulting Numbers: [6, 33]
Generated Node #0,0,1: 27:[6, 33] Operation: 44-11=33
Moving to Node #0,0,1
Current State: 27:[6, 33], Operations: ['62-56=6', '44-11=33']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
27,
76,
90,
75
] | 64 | [
"76-27=49",
"90-75=15",
"49+15=64"
] | Current State: 64:[27, 76, 90, 75], Operations: []
Exploring Operation: 76-27=49, Resulting Numbers: [90, 75, 49]
Generated Node #2: [90, 75, 49] from Operation: 76-27=49
Current State: 64:[90, 75, 49], Operations: ['76-27=49']
Exploring Operation: 90-75=15, Resulting Numbers: [49, 15]
Generated Node #3: [49, 15] from Operation: 90-75=15
Current State: 64:[49, 15], Operations: ['76-27=49', '90-75=15']
Exploring Operation: 49+15=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[27, 76, 90, 75], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [27, 75, 14]
Generated Node #0,0: 64:[27, 75, 14] Operation: 90-76=14
Exploring Operation: 76-75=1, Resulting Numbers: [27, 90, 1]
Generated Node #0,1: 64:[27, 90, 1] Operation: 76-75=1
Exploring Operation: 90-75=15, Resulting Numbers: [27, 76, 15]
Generated Node #0,2: 64:[27, 76, 15] Operation: 90-75=15
Exploring Operation: 90-27=63, Resulting Numbers: [76, 75, 63]
Generated Node #0,3: 64:[76, 75, 63] Operation: 90-27=63
Moving to Node #0,0
Current State: 64:[27, 75, 14], Operations: ['90-76=14']
Exploring Operation: 27+14=41, Resulting Numbers: [75, 41]
Generated Node #0,0,0: 64:[75, 41] Operation: 27+14=41
Exploring Operation: 27-14=13, Resulting Numbers: [75, 13]
Generated Node #0,0,1: 64:[75, 13] Operation: 27-14=13
Exploring Operation: 75-14=61, Resulting Numbers: [27, 61]
Generated Node #0,0,2: 64:[27, 61] Operation: 75-14=61
Exploring Operation: 75-27=48, Resulting Numbers: [14, 48]
Generated Node #0,0,3: 64:[14, 48] Operation: 75-27=48
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[27, 61], Operations: ['90-76=14', '75-14=61']
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,64 unequal: No Solution
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[75, 13], Operations: ['90-76=14', '27-14=13']
Exploring Operation: 75*13=975, Resulting Numbers: [975]
975,64 unequal: No Solution
Exploring Operation: 75-13=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Exploring Operation: 75+13=88, Resulting Numbers: [88]
88,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 64:[14, 48], Operations: ['90-76=14', '75-27=48']
Exploring Operation: 14*48=672, Resulting Numbers: [672]
672,64 unequal: No Solution
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 14+48=62, Resulting Numbers: [62]
62,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[75, 41], Operations: ['90-76=14', '27+14=41']
Exploring Operation: 75+41=116, Resulting Numbers: [116]
116,64 unequal: No Solution
Exploring Operation: 75-41=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 75*41=3075, Resulting Numbers: [3075]
3075,64 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: 64:[27, 76, 15], Operations: ['90-75=15']
Exploring Operation: 27-15=12, Resulting Numbers: [76, 12]
Generated Node #0,2,0: 64:[76, 12] Operation: 27-15=12
Exploring Operation: 27+15=42, Resulting Numbers: [76, 42]
Generated Node #0,2,1: 64:[76, 42] Operation: 27+15=42
Exploring Operation: 76-15=61, Resulting Numbers: [27, 61]
Generated Node #0,2,2: 64:[27, 61] Operation: 76-15=61
Exploring Operation: 76-27=49, Resulting Numbers: [15, 49]
Generated Node #0,2,3: 64:[15, 49] Operation: 76-27=49
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 64:[27, 61], Operations: ['90-75=15', '76-15=61']
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,64 unequal: No Solution
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 64:[76, 12], Operations: ['90-75=15', '27-15=12']
Exploring Operation: 76*12=912, Resulting Numbers: [912]
912,64 unequal: No Solution
Exploring Operation: 76+12=88, Resulting Numbers: [88]
88,64 unequal: No Solution
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[27, 76, 90, 75], Operations: []
Exploring Operation: 90-75=15, Resulting Numbers: [27, 76, 15]
Generated Node #0,2: 64:[27, 76, 15] Operation: 90-75=15
Moving to Node #0,2
Current State: 64:[27, 76, 15], Operations: ['90-75=15']
Exploring Operation: 27-15=12, Resulting Numbers: [76, 12]
Generated Node #0,2,0: 64:[76, 12] Operation: 27-15=12
Moving to Node #0,2,0
Current State: 64:[76, 12], Operations: ['90-75=15', '27-15=12']
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
50,
62,
25,
19
] | 83 | [
"50/25=2",
"62+19=81",
"2+81=83"
] | Current State: 83:[50, 62, 25, 19], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [62, 19, 2]
Generated Node #2: [62, 19, 2] from Operation: 50/25=2
Current State: 83:[62, 19, 2], Operations: ['50/25=2']
Exploring Operation: 62+19=81, Resulting Numbers: [2, 81]
Generated Node #3: [2, 81] from Operation: 62+19=81
Current State: 83:[2, 81], Operations: ['50/25=2', '62+19=81']
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[50, 62, 25, 19], Operations: []
Exploring Operation: 50+25=75, Resulting Numbers: [62, 19, 75]
Generated Node #0,0: 83:[62, 19, 75] Operation: 50+25=75
Exploring Operation: 50+19=69, Resulting Numbers: [62, 25, 69]
Generated Node #0,1: 83:[62, 25, 69] Operation: 50+19=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[62, 19, 75], Operations: ['50+25=75']
Exploring Operation: 19+75=94, Resulting Numbers: [62, 94]
Generated Node #0,0,0: 83:[62, 94] Operation: 19+75=94
Exploring Operation: 62+19=81, Resulting Numbers: [75, 81]
Generated Node #0,0,1: 83:[75, 81] Operation: 62+19=81
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[75, 81], Operations: ['50+25=75', '62+19=81']
Exploring Operation: 81-75=6, Resulting Numbers: [6]
6,83 unequal: No Solution
Exploring Operation: 75+81=156, Resulting Numbers: [156]
156,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[62, 94], Operations: ['50+25=75', '19+75=94']
Exploring Operation: 94-62=32, Resulting Numbers: [32]
32,83 unequal: No Solution
Exploring Operation: 62+94=156, Resulting Numbers: [156]
156,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[62, 25, 69], Operations: ['50+19=69']
Exploring Operation: 62+25=87, Resulting Numbers: [69, 87]
Generated Node #0,1,0: 83:[69, 87] Operation: 62+25=87
Exploring Operation: 25+69=94, Resulting Numbers: [62, 94]
Generated Node #0,1,1: 83:[62, 94] Operation: 25+69=94
Moving to Node #0,1,0
Current State: 83:[69, 87], Operations: ['50+19=69', '62+25=87']
Exploring Operation: 69+87=156, Resulting Numbers: [156]
156,83 unequal: No Solution
Exploring Operation: 87-69=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[62, 94], Operations: ['50+19=69', '25+69=94']
Exploring Operation: 94-62=32, Resulting Numbers: [32]
32,83 unequal: No Solution
Exploring Operation: 62+94=156, Resulting Numbers: [156]
156,83 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 |
[
19,
63,
67,
72
] | 77 | [
"19+63=82",
"72-67=5",
"82-5=77"
] | Current State: 77:[19, 63, 67, 72], Operations: []
Exploring Operation: 19+63=82, Resulting Numbers: [67, 72, 82]
Generated Node #2: [67, 72, 82] from Operation: 19+63=82
Current State: 77:[67, 72, 82], Operations: ['19+63=82']
Exploring Operation: 72-67=5, Resulting Numbers: [82, 5]
Generated Node #3: [82, 5] from Operation: 72-67=5
Current State: 77:[82, 5], Operations: ['19+63=82', '72-67=5']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[19, 63, 67, 72], Operations: []
Exploring Operation: 19+63=82, Resulting Numbers: [67, 72, 82]
Generated Node #0,0: 77:[67, 72, 82] Operation: 19+63=82
Exploring Operation: 72-67=5, Resulting Numbers: [19, 63, 5]
Generated Node #0,1: 77:[19, 63, 5] Operation: 72-67=5
Exploring Operation: 67-63=4, Resulting Numbers: [19, 72, 4]
Generated Node #0,2: 77:[19, 72, 4] Operation: 67-63=4
Exploring Operation: 72-63=9, Resulting Numbers: [19, 67, 9]
Generated Node #0,3: 77:[19, 67, 9] Operation: 72-63=9
Exploring Operation: 19+67=86, Resulting Numbers: [63, 72, 86]
Generated Node #0,4: 77:[63, 72, 86] Operation: 19+67=86
Moving to Node #0,2
Current State: 77:[19, 72, 4], Operations: ['67-63=4']
Exploring Operation: 19-4=15, Resulting Numbers: [72, 15]
Generated Node #0,2,0: 77:[72, 15] Operation: 19-4=15
Exploring Operation: 19+72=91, Resulting Numbers: [4, 91]
Generated Node #0,2,1: 77:[4, 91] Operation: 19+72=91
Exploring Operation: 72/4=18, Resulting Numbers: [19, 18]
Generated Node #0,2,2: 77:[19, 18] Operation: 72/4=18
Exploring Operation: 19*4=76, Resulting Numbers: [72, 76]
Generated Node #0,2,3: 77:[72, 76] Operation: 19*4=76
Exploring Operation: 72+4=76, Resulting Numbers: [19, 76]
Generated Node #0,2,4: 77:[19, 76] Operation: 72+4=76
Moving to Node #0,3
Current State: 77:[19, 67, 9], Operations: ['72-63=9']
Exploring Operation: 19+67=86, Resulting Numbers: [9, 86]
Generated Node #0,3,0: 77:[9, 86] Operation: 19+67=86
Exploring Operation: 19+9=28, Resulting Numbers: [67, 28]
Generated Node #0,3,1: 77:[67, 28] Operation: 19+9=28
Exploring Operation: 19-9=10, Resulting Numbers: [67, 10]
Generated Node #0,3,2: 77:[67, 10] Operation: 19-9=10
Exploring Operation: 67-9=58, Resulting Numbers: [19, 58]
Generated Node #0,3,3: 77:[19, 58] Operation: 67-9=58
Exploring Operation: 67+9=76, Resulting Numbers: [19, 76]
Generated Node #0,3,4: 77:[19, 76] Operation: 67+9=76
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 77:[19, 76], Operations: ['72-63=9', '67+9=76']
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,77 unequal: No Solution
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,77 unequal: No Solution
Exploring Operation: 19*76=1444, Resulting Numbers: [1444]
1444,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 77:[9, 86], Operations: ['72-63=9', '19+67=86']
Exploring Operation: 9*86=774, Resulting Numbers: [774]
774,77 unequal: No Solution
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[19, 63, 67, 72], Operations: []
Exploring Operation: 72-63=9, Resulting Numbers: [19, 67, 9]
Generated Node #0,3: 77:[19, 67, 9] Operation: 72-63=9
Moving to Node #0,3
Current State: 77:[19, 67, 9], Operations: ['72-63=9']
Exploring Operation: 19+67=86, Resulting Numbers: [9, 86]
Generated Node #0,3,0: 77:[9, 86] Operation: 19+67=86
Moving to Node #0,3,0
Current State: 77:[9, 86], Operations: ['72-63=9', '19+67=86']
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
31,
44,
36,
40
] | 76 | [
"31*44=1364",
"36*40=1440",
"1440-1364=76"
] | Current State: 76:[31, 44, 36, 40], Operations: []
Exploring Operation: 31*44=1364, Resulting Numbers: [36, 40, 1364]
Generated Node #2: [36, 40, 1364] from Operation: 31*44=1364
Current State: 76:[36, 40, 1364], Operations: ['31*44=1364']
Exploring Operation: 36*40=1440, Resulting Numbers: [1364, 1440]
Generated Node #3: [1364, 1440] from Operation: 36*40=1440
Current State: 76:[1364, 1440], Operations: ['31*44=1364', '36*40=1440']
Exploring Operation: 1440-1364=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[31, 44, 36, 40], Operations: []
Exploring Operation: 31+44=75, Resulting Numbers: [36, 40, 75]
Generated Node #0,0: 76:[36, 40, 75] Operation: 31+44=75
Exploring Operation: 44-31=13, Resulting Numbers: [36, 40, 13]
Generated Node #0,1: 76:[36, 40, 13] Operation: 44-31=13
Exploring Operation: 44-40=4, Resulting Numbers: [31, 36, 4]
Generated Node #0,2: 76:[31, 36, 4] Operation: 44-40=4
Exploring Operation: 36-31=5, Resulting Numbers: [44, 40, 5]
Generated Node #0,3: 76:[44, 40, 5] Operation: 36-31=5
Moving to Node #0,0
Current State: 76:[36, 40, 75], Operations: ['31+44=75']
Exploring Operation: 75-36=39, Resulting Numbers: [40, 39]
Generated Node #0,0,0: 76:[40, 39] Operation: 75-36=39
Exploring Operation: 40-36=4, Resulting Numbers: [75, 4]
Generated Node #0,0,1: 76:[75, 4] Operation: 40-36=4
Exploring Operation: 36+40=76, Resulting Numbers: [75, 76]
Generated Node #0,0,2: 76:[75, 76] Operation: 36+40=76
Exploring Operation: 75-40=35, Resulting Numbers: [36, 35]
Generated Node #0,0,3: 76:[36, 35] Operation: 75-40=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[75, 4], Operations: ['31+44=75', '40-36=4']
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,76 unequal: No Solution
Exploring Operation: 75*4=300, Resulting Numbers: [300]
300,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[75, 76], Operations: ['31+44=75', '36+40=76']
Exploring Operation: 75+76=151, Resulting Numbers: [151]
151,76 unequal: No Solution
Exploring Operation: 76-75=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 75*76=5700, Resulting Numbers: [5700]
5700,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[40, 39], Operations: ['31+44=75', '75-36=39']
Exploring Operation: 40*39=1560, Resulting Numbers: [1560]
1560,76 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 76:[36, 35], Operations: ['31+44=75', '75-40=35']
Exploring Operation: 36*35=1260, Resulting Numbers: [1260]
1260,76 unequal: No Solution
Exploring Operation: 36+35=71, Resulting Numbers: [71]
71,76 unequal: No Solution
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 76:[44, 40, 5], Operations: ['36-31=5']
Exploring Operation: 44-40=4, Resulting Numbers: [5, 4]
Generated Node #0,3,0: 76:[5, 4] Operation: 44-40=4
Exploring Operation: 40-5=35, Resulting Numbers: [44, 35]
Generated Node #0,3,1: 76:[44, 35] Operation: 40-5=35
Exploring Operation: 44+40=84, Resulting Numbers: [5, 84]
Generated Node #0,3,2: 76:[5, 84] Operation: 44+40=84
Exploring Operation: 44-5=39, Resulting Numbers: [40, 39]
Generated Node #0,3,3: 76:[40, 39] Operation: 44-5=39
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 76:[5, 4], Operations: ['36-31=5', '44-40=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 76:[40, 39], Operations: ['36-31=5', '44-5=39']
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 40*39=1560, Resulting Numbers: [1560]
1560,76 unequal: No Solution
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 76:[44, 35], Operations: ['36-31=5', '40-5=35']
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 44*35=1540, Resulting Numbers: [1540]
1540,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 76:[5, 84], Operations: ['36-31=5', '44+40=84']
Exploring Operation: 5+84=89, Resulting Numbers: [89]
89,76 unequal: No Solution
Exploring Operation: 5*84=420, Resulting Numbers: [420]
420,76 unequal: No Solution
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,76 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: 76:[31, 36, 4], Operations: ['44-40=4']
Exploring Operation: 31+4=35, Resulting Numbers: [36, 35]
Generated Node #0,2,0: 76:[36, 35] Operation: 31+4=35
Exploring Operation: 36+4=40, Resulting Numbers: [31, 40]
Generated Node #0,2,1: 76:[31, 40] Operation: 36+4=40
Exploring Operation: 36-31=5, Resulting Numbers: [4, 5]
Generated Node #0,2,2: 76:[4, 5] Operation: 36-31=5
Exploring Operation: 31+36=67, Resulting Numbers: [4, 67]
Generated Node #0,2,3: 76:[4, 67] Operation: 31+36=67
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 76:[4, 5], Operations: ['44-40=4', '36-31=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 76:[36, 35], Operations: ['44-40=4', '31+4=35']
Exploring Operation: 36*35=1260, Resulting Numbers: [1260]
1260,76 unequal: No Solution
Exploring Operation: 36+35=71, Resulting Numbers: [71]
71,76 unequal: No Solution
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 76:[31, 40], Operations: ['44-40=4', '36+4=40']
Exploring Operation: 31*40=1240, Resulting Numbers: [1240]
1240,76 unequal: No Solution
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 31+40=71, Resulting Numbers: [71]
71,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 76:[4, 67], Operations: ['44-40=4', '31+36=67']
Exploring Operation: 4+67=71, Resulting Numbers: [71]
71,76 unequal: No Solution
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 4*67=268, Resulting Numbers: [268]
268,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 76:[36, 40, 13], Operations: ['44-31=13']
Exploring Operation: 36+40=76, Resulting Numbers: [13, 76]
Generated Node #0,1,0: 76:[13, 76] Operation: 36+40=76
Exploring Operation: 40-36=4, Resulting Numbers: [13, 4]
Generated Node #0,1,1: 76:[13, 4] Operation: 40-36=4
Exploring Operation: 40-13=27, Resulting Numbers: [36, 27]
Generated Node #0,1,2: 76:[36, 27] Operation: 40-13=27
Exploring Operation: 36-13=23, Resulting Numbers: [40, 23]
Generated Node #0,1,3: 76:[40, 23] Operation: 36-13=23
Moving to Node #0,1,0
Current State: 76:[13, 76], Operations: ['44-31=13', '36+40=76']
Exploring Operation: 13+76=89, Resulting Numbers: [89]
89,76 unequal: No Solution
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 13*76=988, Resulting Numbers: [988]
988,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[40, 23], Operations: ['44-31=13', '36-13=23']
Exploring Operation: 40*23=920, Resulting Numbers: [920]
920,76 unequal: No Solution
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,76 unequal: No Solution
Exploring Operation: 40+23=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[13, 4], Operations: ['44-31=13', '40-36=4']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,76 unequal: No Solution
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[36, 27], Operations: ['44-31=13', '40-13=27']
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 36*27=972, Resulting Numbers: [972]
972,76 unequal: No Solution
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,76 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
9,
6,
5,
37
] | 38 | [
"9+6=15",
"5*15=75",
"75-37=38"
] | Current State: 38:[9, 6, 5, 37], Operations: []
Exploring Operation: 9+6=15, Resulting Numbers: [5, 37, 15]
Generated Node #2: [5, 37, 15] from Operation: 9+6=15
Current State: 38:[5, 37, 15], Operations: ['9+6=15']
Exploring Operation: 5*15=75, Resulting Numbers: [37, 75]
Generated Node #3: [37, 75] from Operation: 5*15=75
Current State: 38:[37, 75], Operations: ['9+6=15', '5*15=75']
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[9, 6, 5, 37], Operations: []
Exploring Operation: 6-5=1, Resulting Numbers: [9, 37, 1]
Generated Node #0,0: 38:[9, 37, 1] Operation: 6-5=1
Exploring Operation: 9+6=15, Resulting Numbers: [5, 37, 15]
Generated Node #0,1: 38:[5, 37, 15] Operation: 9+6=15
Exploring Operation: 9-6=3, Resulting Numbers: [5, 37, 3]
Generated Node #0,2: 38:[5, 37, 3] Operation: 9-6=3
Exploring Operation: 9-5=4, Resulting Numbers: [6, 37, 4]
Generated Node #0,3: 38:[6, 37, 4] Operation: 9-5=4
Moving to Node #0,2
Current State: 38:[5, 37, 3], Operations: ['9-6=3']
Exploring Operation: 5-3=2, Resulting Numbers: [37, 2]
Generated Node #0,2,0: 38:[37, 2] Operation: 5-3=2
Exploring Operation: 5+37=42, Resulting Numbers: [3, 42]
Generated Node #0,2,1: 38:[3, 42] Operation: 5+37=42
Exploring Operation: 5*3=15, Resulting Numbers: [37, 15]
Generated Node #0,2,2: 38:[37, 15] Operation: 5*3=15
Exploring Operation: 37+3=40, Resulting Numbers: [5, 40]
Generated Node #0,2,3: 38:[5, 40] Operation: 37+3=40
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 38:[37, 2], Operations: ['9-6=3', '5-3=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,38 unequal: No Solution
No 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: 38:[3, 42], Operations: ['9-6=3', '5+37=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,38 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,38 unequal: No Solution
No 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: 38:[37, 15], Operations: ['9-6=3', '5*3=15']
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 37+15=52, Resulting Numbers: [52]
52,38 unequal: No Solution
Exploring Operation: 37*15=555, Resulting Numbers: [555]
555,38 unequal: No Solution
No 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: 38:[5, 40], Operations: ['9-6=3', '37+3=40']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 5*40=200, Resulting Numbers: [200]
200,38 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: 38:[6, 37, 4], Operations: ['9-5=4']
Exploring Operation: 6+37=43, Resulting Numbers: [4, 43]
Generated Node #0,3,0: 38:[4, 43] Operation: 6+37=43
Exploring Operation: 6*4=24, Resulting Numbers: [37, 24]
Generated Node #0,3,1: 38:[37, 24] Operation: 6*4=24
Exploring Operation: 37+4=41, Resulting Numbers: [6, 41]
Generated Node #0,3,2: 38:[6, 41] Operation: 37+4=41
Exploring Operation: 6-4=2, Resulting Numbers: [37, 2]
Generated Node #0,3,3: 38:[37, 2] Operation: 6-4=2
Moving to Node #0,1
Current State: 38:[5, 37, 15], Operations: ['9+6=15']
Exploring Operation: 5+15=20, Resulting Numbers: [37, 20]
Generated Node #0,1,0: 38:[37, 20] Operation: 5+15=20
Exploring Operation: 5+37=42, Resulting Numbers: [15, 42]
Generated Node #0,1,1: 38:[15, 42] Operation: 5+37=42
Exploring Operation: 15/5=3, Resulting Numbers: [37, 3]
Generated Node #0,1,2: 38:[37, 3] Operation: 15/5=3
Exploring Operation: 37-15=22, Resulting Numbers: [5, 22]
Generated Node #0,1,3: 38:[5, 22] Operation: 37-15=22
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 38:[37, 20], Operations: ['9+6=15', '5+15=20']
Exploring Operation: 37*20=740, Resulting Numbers: [740]
740,38 unequal: No Solution
Exploring Operation: 37+20=57, Resulting Numbers: [57]
57,38 unequal: No Solution
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,38 unequal: No Solution
No 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: 38:[37, 3], Operations: ['9+6=15', '15/5=3']
Exploring Operation: 37*3=111, Resulting Numbers: [111]
111,38 unequal: No Solution
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,38 unequal: No Solution
No 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: 38:[5, 22], Operations: ['9+6=15', '37-15=22']
Exploring Operation: 5*22=110, Resulting Numbers: [110]
110,38 unequal: No Solution
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,38 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,38 unequal: No Solution
No 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: 38:[15, 42], Operations: ['9+6=15', '5+37=42']
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,38 unequal: No Solution
Exploring Operation: 15*42=630, Resulting Numbers: [630]
630,38 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,38 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: 38:[9, 37, 1], Operations: ['6-5=1']
Exploring Operation: 9/1=9, Resulting Numbers: [37, 9]
Generated Node #0,0,0: 38:[37, 9] Operation: 9/1=9
Exploring Operation: 37+1=38, Resulting Numbers: [9, 38]
Generated Node #0,0,1: 38:[9, 38] Operation: 37+1=38
Exploring Operation: 9-1=8, Resulting Numbers: [37, 8]
Generated Node #0,0,2: 38:[37, 8] Operation: 9-1=8
Exploring Operation: 9*1=9, Resulting Numbers: [37, 9]
Generated Node #0,0,3: 38:[37, 9] Operation: 9*1=9
Moving to Node #0,3,3
Current State: 38:[37, 2], Operations: ['9-5=4', '6-4=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,38 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Moving to Node #0,3,1
Current State: 38:[37, 24], Operations: ['9-5=4', '6*4=24']
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 37+24=61, Resulting Numbers: [61]
61,38 unequal: No Solution
Exploring Operation: 37*24=888, Resulting Numbers: [888]
888,38 unequal: No Solution
Moving to Node #0,3,0
Current State: 38:[4, 43], Operations: ['9-5=4', '6+37=43']
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,38 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Moving to Node #0,0,2
Current State: 38:[37, 8], Operations: ['6-5=1', '9-1=8']
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,38 unequal: No Solution
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 37*8=296, Resulting Numbers: [296]
296,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[9, 38], Operations: ['6-5=1', '37+1=38']
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,38 unequal: No Solution
Exploring Operation: 9*38=342, Resulting Numbers: [342]
342,38 unequal: No Solution
Exploring Operation: 9+38=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Moving to Node #0,3,2
Current State: 38:[6, 41], Operations: ['9-5=4', '37+4=41']
Exploring Operation: 6+41=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 6*41=246, Resulting Numbers: [246]
246,38 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Moving to Node #0,0,3
Current State: 38:[37, 9], Operations: ['6-5=1', '9*1=9']
Exploring Operation: 37*9=333, Resulting Numbers: [333]
333,38 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,38 unequal: No Solution
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[37, 9], Operations: ['6-5=1', '9/1=9']
Exploring Operation: 37*9=333, Resulting Numbers: [333]
333,38 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,38 unequal: No Solution
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,38 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
90,
45,
90,
97
] | 95 | [
"90-45=45",
"90/45=2",
"97-2=95"
] | Current State: 95:[90, 45, 90, 97], Operations: []
Exploring Operation: 90-45=45, Resulting Numbers: [97, 45]
Generated Node #2: [97, 45] from Operation: 90-45=45
Current State: 95:[97, 45], Operations: ['90-45=45']
Exploring Operation: 90/45=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 90/45=2
Current State: 95:[97, 2], Operations: ['90-45=45', '90/45=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[90, 45, 90, 97], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [90, 97, 2]
Generated Node #0,0: 95:[90, 97, 2] Operation: 90/45=2
Exploring Operation: 90/45=2, Resulting Numbers: [90, 97, 2]
Generated Node #0,1: 95:[90, 97, 2] Operation: 90/45=2
Moving to Node #0,0
Current State: 95:[90, 97, 2], Operations: ['90/45=2']
Exploring Operation: 90+2=92, Resulting Numbers: [97, 92]
Generated Node #0,0,0: 95:[97, 92] Operation: 90+2=92
Exploring Operation: 97-90=7, Resulting Numbers: [2, 7]
Generated Node #0,0,1: 95:[2, 7] Operation: 97-90=7
Moving to Node #0,1
Current State: 95:[90, 97, 2], Operations: ['90/45=2']
Exploring Operation: 90+2=92, Resulting Numbers: [97, 92]
Generated Node #0,1,0: 95:[97, 92] Operation: 90+2=92
Exploring Operation: 97-90=7, Resulting Numbers: [2, 7]
Generated Node #0,1,1: 95:[2, 7] Operation: 97-90=7
Moving to Node #0,0,0
Current State: 95:[97, 92], Operations: ['90/45=2', '90+2=92']
Exploring Operation: 97-92=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 97+92=189, Resulting Numbers: [189]
189,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[97, 92], Operations: ['90/45=2', '90+2=92']
Exploring Operation: 97-92=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 97+92=189, Resulting Numbers: [189]
189,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[2, 7], Operations: ['90/45=2', '97-90=7']
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[2, 7], Operations: ['90/45=2', '97-90=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,95 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
97,
96,
19,
76
] | 48 | [
"97-19=78",
"78-76=2",
"96/2=48"
] | Current State: 48:[97, 96, 19, 76], Operations: []
Exploring Operation: 97-19=78, Resulting Numbers: [96, 76, 78]
Generated Node #2: [96, 76, 78] from Operation: 97-19=78
Current State: 48:[96, 76, 78], Operations: ['97-19=78']
Exploring Operation: 78-76=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 78-76=2
Current State: 48:[96, 2], Operations: ['97-19=78', '78-76=2']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[97, 96, 19, 76], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [96, 19, 21]
Generated Node #0,0: 48:[96, 19, 21] Operation: 97-76=21
Exploring Operation: 76/19=4, Resulting Numbers: [97, 96, 4]
Generated Node #0,1: 48:[97, 96, 4] Operation: 76/19=4
Exploring Operation: 97-19=78, Resulting Numbers: [96, 76, 78]
Generated Node #0,2: 48:[96, 76, 78] Operation: 97-19=78
Exploring Operation: 97-96=1, Resulting Numbers: [19, 76, 1]
Generated Node #0,3: 48:[19, 76, 1] Operation: 97-96=1
Exploring Operation: 96-76=20, Resulting Numbers: [97, 19, 20]
Generated Node #0,4: 48:[97, 19, 20] Operation: 96-76=20
Moving to Node #0,3
Current State: 48:[19, 76, 1], Operations: ['97-96=1']
Exploring Operation: 76-1=75, Resulting Numbers: [19, 75]
Generated Node #0,3,0: 48:[19, 75] Operation: 76-1=75
Exploring Operation: 19-1=18, Resulting Numbers: [76, 18]
Generated Node #0,3,1: 48:[76, 18] Operation: 19-1=18
Exploring Operation: 19*1=19, Resulting Numbers: [76, 19]
Generated Node #0,3,2: 48:[76, 19] Operation: 19*1=19
Exploring Operation: 76-19=57, Resulting Numbers: [1, 57]
Generated Node #0,3,3: 48:[1, 57] Operation: 76-19=57
Exploring Operation: 76/19=4, Resulting Numbers: [1, 4]
Generated Node #0,3,4: 48:[1, 4] Operation: 76/19=4
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 48:[1, 4], Operations: ['97-96=1', '76/19=4']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 1+4=5, Resulting Numbers: [5]
5,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 48:[1, 57], Operations: ['97-96=1', '76-19=57']
Exploring Operation: 1*57=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 1+57=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 48:[19, 75], Operations: ['97-96=1', '76-1=75']
Exploring Operation: 19*75=1425, Resulting Numbers: [1425]
1425,48 unequal: No Solution
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Exploring Operation: 19+75=94, Resulting Numbers: [94]
94,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 48:[76, 18], Operations: ['97-96=1', '19-1=18']
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 76*18=1368, Resulting Numbers: [1368]
1368,48 unequal: No Solution
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 48:[76, 19], Operations: ['97-96=1', '19*1=19']
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 76+19=95, Resulting Numbers: [95]
95,48 unequal: No Solution
Exploring Operation: 76*19=1444, Resulting Numbers: [1444]
1444,48 unequal: No Solution
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 48:[96, 19, 21], Operations: ['97-76=21']
Exploring Operation: 96+19=115, Resulting Numbers: [21, 115]
Generated Node #0,0,0: 48:[21, 115] Operation: 96+19=115
Exploring Operation: 21-19=2, Resulting Numbers: [96, 2]
Generated Node #0,0,1: 48:[96, 2] Operation: 21-19=2
Exploring Operation: 96-19=77, Resulting Numbers: [21, 77]
Generated Node #0,0,2: 48:[21, 77] Operation: 96-19=77
Exploring Operation: 19+21=40, Resulting Numbers: [96, 40]
Generated Node #0,0,3: 48:[96, 40] Operation: 19+21=40
Exploring Operation: 96-21=75, Resulting Numbers: [19, 75]
Generated Node #0,0,4: 48:[19, 75] Operation: 96-21=75
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 48:[19, 75], Operations: ['97-76=21', '96-21=75']
Exploring Operation: 19*75=1425, Resulting Numbers: [1425]
1425,48 unequal: No Solution
Exploring Operation: 19+75=94, Resulting Numbers: [94]
94,48 unequal: No Solution
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 48:[21, 77], Operations: ['97-76=21', '96-19=77']
Exploring Operation: 21*77=1617, Resulting Numbers: [1617]
1617,48 unequal: No Solution
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Exploring Operation: 21+77=98, Resulting Numbers: [98]
98,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[96, 2], Operations: ['97-76=21', '21-19=2']
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,48 unequal: No Solution
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,48 unequal: No Solution
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[97, 96, 19, 76], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [96, 19, 21]
Generated Node #0,0: 48:[96, 19, 21] Operation: 97-76=21
Moving to Node #0,0
Current State: 48:[96, 19, 21], Operations: ['97-76=21']
Exploring Operation: 21-19=2, Resulting Numbers: [96, 2]
Generated Node #0,0,1: 48:[96, 2] Operation: 21-19=2
Moving to Node #0,0,1
Current State: 48:[96, 2], Operations: ['97-76=21', '21-19=2']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_5 | mult_heuristic |
[
27,
76,
4,
9
] | 83 | [
"27/9=3",
"76+4=80",
"3+80=83"
] | Current State: 83:[27, 76, 4, 9], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [76, 4, 3]
Generated Node #2: [76, 4, 3] from Operation: 27/9=3
Current State: 83:[76, 4, 3], Operations: ['27/9=3']
Exploring Operation: 76+4=80, Resulting Numbers: [3, 80]
Generated Node #3: [3, 80] from Operation: 76+4=80
Current State: 83:[3, 80], Operations: ['27/9=3', '76+4=80']
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[27, 76, 4, 9], Operations: []
Exploring Operation: 27*4=108, Resulting Numbers: [76, 9, 108]
Generated Node #0,0: 83:[76, 9, 108] Operation: 27*4=108
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[76, 9, 108], Operations: ['27*4=108']
Exploring Operation: 108-9=99, Resulting Numbers: [76, 99]
Generated Node #0,0,0: 83:[76, 99] Operation: 108-9=99
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[76, 99], Operations: ['27*4=108', '108-9=99']
Exploring Operation: 99-76=23, Resulting Numbers: [23]
23,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
40,
13,
15,
72
] | 56 | [
"40+72=112",
"15-13=2",
"112/2=56"
] | Current State: 56:[40, 13, 15, 72], Operations: []
Exploring Operation: 40+72=112, Resulting Numbers: [13, 15, 112]
Generated Node #2: [13, 15, 112] from Operation: 40+72=112
Current State: 56:[13, 15, 112], Operations: ['40+72=112']
Exploring Operation: 15-13=2, Resulting Numbers: [112, 2]
Generated Node #3: [112, 2] from Operation: 15-13=2
Current State: 56:[112, 2], Operations: ['40+72=112', '15-13=2']
Exploring Operation: 112/2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[40, 13, 15, 72], Operations: []
Exploring Operation: 72-13=59, Resulting Numbers: [40, 15, 59]
Generated Node #0,0: 56:[40, 15, 59] Operation: 72-13=59
Exploring Operation: 72-15=57, Resulting Numbers: [40, 13, 57]
Generated Node #0,1: 56:[40, 13, 57] Operation: 72-15=57
Exploring Operation: 72-40=32, Resulting Numbers: [13, 15, 32]
Generated Node #0,2: 56:[13, 15, 32] Operation: 72-40=32
Exploring Operation: 40-13=27, Resulting Numbers: [15, 72, 27]
Generated Node #0,3: 56:[15, 72, 27] Operation: 40-13=27
Moving to Node #0,2
Current State: 56:[13, 15, 32], Operations: ['72-40=32']
Exploring Operation: 32-13=19, Resulting Numbers: [15, 19]
Generated Node #0,2,0: 56:[15, 19] Operation: 32-13=19
Exploring Operation: 32-15=17, Resulting Numbers: [13, 17]
Generated Node #0,2,1: 56:[13, 17] Operation: 32-15=17
Exploring Operation: 15-13=2, Resulting Numbers: [32, 2]
Generated Node #0,2,2: 56:[32, 2] Operation: 15-13=2
Exploring Operation: 13+15=28, Resulting Numbers: [32, 28]
Generated Node #0,2,3: 56:[32, 28] Operation: 13+15=28
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 56:[13, 17], Operations: ['72-40=32', '32-15=17']
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 13*17=221, Resulting Numbers: [221]
221,56 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,56 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 #0,2,2
Current State: 56:[32, 2], Operations: ['72-40=32', '15-13=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,56 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,56 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,56 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 #0,2,3
Current State: 56:[32, 28], Operations: ['72-40=32', '13+15=28']
Exploring Operation: 32-28=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 32+28=60, Resulting Numbers: [60]
60,56 unequal: No Solution
Exploring Operation: 32*28=896, Resulting Numbers: [896]
896,56 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 #0,2,0
Current State: 56:[15, 19], Operations: ['72-40=32', '32-13=19']
Exploring Operation: 15*19=285, Resulting Numbers: [285]
285,56 unequal: No Solution
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,56 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: 56:[40, 13, 57], Operations: ['72-15=57']
Exploring Operation: 57-13=44, Resulting Numbers: [40, 44]
Generated Node #0,1,0: 56:[40, 44] Operation: 57-13=44
Exploring Operation: 57-40=17, Resulting Numbers: [13, 17]
Generated Node #0,1,1: 56:[13, 17] Operation: 57-40=17
Exploring Operation: 40+13=53, Resulting Numbers: [57, 53]
Generated Node #0,1,2: 56:[57, 53] Operation: 40+13=53
Exploring Operation: 40-13=27, Resulting Numbers: [57, 27]
Generated Node #0,1,3: 56:[57, 27] Operation: 40-13=27
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 56:[57, 27], Operations: ['72-15=57', '40-13=27']
Exploring Operation: 57*27=1539, Resulting Numbers: [1539]
1539,56 unequal: No Solution
Exploring Operation: 57+27=84, Resulting Numbers: [84]
84,56 unequal: No Solution
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,56 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 #0,1,1
Current State: 56:[13, 17], Operations: ['72-15=57', '57-40=17']
Exploring Operation: 13*17=221, Resulting Numbers: [221]
221,56 unequal: No Solution
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,56 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 #0,1,2
Current State: 56:[57, 53], Operations: ['72-15=57', '40+13=53']
Exploring Operation: 57*53=3021, Resulting Numbers: [3021]
3021,56 unequal: No Solution
Exploring Operation: 57+53=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,56 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 #0,1,0
Current State: 56:[40, 44], Operations: ['72-15=57', '57-13=44']
Exploring Operation: 40*44=1760, Resulting Numbers: [1760]
1760,56 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,56 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: 56:[40, 15, 59], Operations: ['72-13=59']
Exploring Operation: 40+15=55, Resulting Numbers: [59, 55]
Generated Node #0,0,0: 56:[59, 55] Operation: 40+15=55
Exploring Operation: 59-40=19, Resulting Numbers: [15, 19]
Generated Node #0,0,1: 56:[15, 19] Operation: 59-40=19
Exploring Operation: 59-15=44, Resulting Numbers: [40, 44]
Generated Node #0,0,2: 56:[40, 44] Operation: 59-15=44
Exploring Operation: 40-15=25, Resulting Numbers: [59, 25]
Generated Node #0,0,3: 56:[59, 25] Operation: 40-15=25
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[59, 55], Operations: ['72-13=59', '40+15=55']
Exploring Operation: 59*55=3245, Resulting Numbers: [3245]
3245,56 unequal: No Solution
Exploring Operation: 59-55=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 59+55=114, Resulting Numbers: [114]
114,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[15, 19], Operations: ['72-13=59', '59-40=19']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,56 unequal: No Solution
Exploring Operation: 15*19=285, Resulting Numbers: [285]
285,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 56:[59, 25], Operations: ['72-13=59', '40-15=25']
Exploring Operation: 59+25=84, Resulting Numbers: [84]
84,56 unequal: No Solution
Exploring Operation: 59-25=34, Resulting Numbers: [34]
34,56 unequal: No Solution
Exploring Operation: 59*25=1475, Resulting Numbers: [1475]
1475,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[40, 44], Operations: ['72-13=59', '59-15=44']
Exploring Operation: 40*44=1760, Resulting Numbers: [1760]
1760,56 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,56 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: 56:[15, 72, 27], Operations: ['40-13=27']
Exploring Operation: 27-15=12, Resulting Numbers: [72, 12]
Generated Node #0,3,0: 56:[72, 12] Operation: 27-15=12
Exploring Operation: 15+27=42, Resulting Numbers: [72, 42]
Generated Node #0,3,1: 56:[72, 42] Operation: 15+27=42
Exploring Operation: 72-15=57, Resulting Numbers: [27, 57]
Generated Node #0,3,2: 56:[27, 57] Operation: 72-15=57
Exploring Operation: 72-27=45, Resulting Numbers: [15, 45]
Generated Node #0,3,3: 56:[15, 45] Operation: 72-27=45
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 56:[27, 57], Operations: ['40-13=27', '72-15=57']
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 27+57=84, Resulting Numbers: [84]
84,56 unequal: No Solution
Exploring Operation: 27*57=1539, Resulting Numbers: [1539]
1539,56 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 #0,3,3
Current State: 56:[15, 45], Operations: ['40-13=27', '72-27=45']
Exploring Operation: 15*45=675, Resulting Numbers: [675]
675,56 unequal: No Solution
Exploring Operation: 15+45=60, Resulting Numbers: [60]
60,56 unequal: No Solution
Exploring Operation: 45/15=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,56 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 #0,3,0
Current State: 56:[72, 12], Operations: ['40-13=27', '27-15=12']
Exploring Operation: 72*12=864, Resulting Numbers: [864]
864,56 unequal: No Solution
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,56 unequal: No Solution
Exploring Operation: 72/12=6, Resulting Numbers: [6]
6,56 unequal: No Solution
Exploring Operation: 72+12=84, Resulting Numbers: [84]
84,56 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 #0,3,1
Current State: 56:[72, 42], Operations: ['40-13=27', '15+27=42']
Exploring Operation: 72*42=3024, Resulting Numbers: [3024]
3024,56 unequal: No Solution
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 72+42=114, Resulting Numbers: [114]
114,56 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 |
[
2,
33,
74,
42
] | 76 | [
"33+42=75",
"2*75=150",
"150-74=76"
] | Current State: 76:[2, 33, 74, 42], Operations: []
Exploring Operation: 33+42=75, Resulting Numbers: [2, 74, 75]
Generated Node #2: [2, 74, 75] from Operation: 33+42=75
Current State: 76:[2, 74, 75], Operations: ['33+42=75']
Exploring Operation: 2*75=150, Resulting Numbers: [74, 150]
Generated Node #3: [74, 150] from Operation: 2*75=150
Current State: 76:[74, 150], Operations: ['33+42=75', '2*75=150']
Exploring Operation: 150-74=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[2, 33, 74, 42], Operations: []
Exploring Operation: 42-33=9, Resulting Numbers: [2, 74, 9]
Generated Node #0,0: 76:[2, 74, 9] Operation: 42-33=9
Exploring Operation: 33+42=75, Resulting Numbers: [2, 74, 75]
Generated Node #0,1: 76:[2, 74, 75] Operation: 33+42=75
Exploring Operation: 74-33=41, Resulting Numbers: [2, 42, 41]
Generated Node #0,2: 76:[2, 42, 41] Operation: 74-33=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[2, 74, 75], Operations: ['33+42=75']
Exploring Operation: 74/2=37, Resulting Numbers: [75, 37]
Generated Node #0,1,0: 76:[75, 37] Operation: 74/2=37
Exploring Operation: 2+74=76, Resulting Numbers: [75, 76]
Generated Node #0,1,1: 76:[75, 76] Operation: 2+74=76
Exploring Operation: 75-74=1, Resulting Numbers: [2, 1]
Generated Node #0,1,2: 76:[2, 1] Operation: 75-74=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[75, 76], Operations: ['33+42=75', '2+74=76']
Exploring Operation: 76-75=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 75*76=5700, Resulting Numbers: [5700]
5700,76 unequal: No Solution
Exploring Operation: 75+76=151, Resulting Numbers: [151]
151,76 unequal: No Solution
No 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: 76:[2, 1], Operations: ['33+42=75', '75-74=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,76 unequal: No Solution
No 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: 76:[75, 37], Operations: ['33+42=75', '74/2=37']
Exploring Operation: 75+37=112, Resulting Numbers: [112]
112,76 unequal: No Solution
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,76 unequal: No Solution
Exploring Operation: 75*37=2775, Resulting Numbers: [2775]
2775,76 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: 76:[2, 74, 9], Operations: ['42-33=9']
Exploring Operation: 2+74=76, Resulting Numbers: [9, 76]
Generated Node #0,0,0: 76:[9, 76] Operation: 2+74=76
Exploring Operation: 2*9=18, Resulting Numbers: [74, 18]
Generated Node #0,0,1: 76:[74, 18] Operation: 2*9=18
Exploring Operation: 9-2=7, Resulting Numbers: [74, 7]
Generated Node #0,0,2: 76:[74, 7] Operation: 9-2=7
Moving to Node #0,0,1
Current State: 76:[74, 18], Operations: ['42-33=9', '2*9=18']
Exploring Operation: 74*18=1332, Resulting Numbers: [1332]
1332,76 unequal: No Solution
Exploring Operation: 74-18=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 74+18=92, Resulting Numbers: [92]
92,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[9, 76], Operations: ['42-33=9', '2+74=76']
Exploring Operation: 9*76=684, Resulting Numbers: [684]
684,76 unequal: No Solution
Exploring Operation: 9+76=85, Resulting Numbers: [85]
85,76 unequal: No Solution
Exploring Operation: 76-9=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[74, 7], Operations: ['42-33=9', '9-2=7']
Exploring Operation: 74+7=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 74*7=518, Resulting Numbers: [518]
518,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[2, 42, 41], Operations: ['74-33=41']
Exploring Operation: 42-2=40, Resulting Numbers: [41, 40]
Generated Node #0,2,0: 76:[41, 40] Operation: 42-2=40
Exploring Operation: 42-41=1, Resulting Numbers: [2, 1]
Generated Node #0,2,1: 76:[2, 1] Operation: 42-41=1
Exploring Operation: 42/2=21, Resulting Numbers: [41, 21]
Generated Node #0,2,2: 76:[41, 21] Operation: 42/2=21
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 76:[2, 1], Operations: ['74-33=41', '42-41=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,76 unequal: No Solution
No 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: 76:[41, 40], Operations: ['74-33=41', '42-2=40']
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 41*40=1640, Resulting Numbers: [1640]
1640,76 unequal: No Solution
No 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: 76:[41, 21], Operations: ['74-33=41', '42/2=21']
Exploring Operation: 41*21=861, Resulting Numbers: [861]
861,76 unequal: No Solution
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
58,
27,
32,
40
] | 77 | [
"58+27=85",
"40-32=8",
"85-8=77"
] | Current State: 77:[58, 27, 32, 40], Operations: []
Exploring Operation: 58+27=85, Resulting Numbers: [32, 40, 85]
Generated Node #2: [32, 40, 85] from Operation: 58+27=85
Current State: 77:[32, 40, 85], Operations: ['58+27=85']
Exploring Operation: 40-32=8, Resulting Numbers: [85, 8]
Generated Node #3: [85, 8] from Operation: 40-32=8
Current State: 77:[85, 8], Operations: ['58+27=85', '40-32=8']
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[58, 27, 32, 40], Operations: []
Exploring Operation: 58-40=18, Resulting Numbers: [27, 32, 18]
Generated Node #0,0: 77:[27, 32, 18] Operation: 58-40=18
Exploring Operation: 40-27=13, Resulting Numbers: [58, 32, 13]
Generated Node #0,1: 77:[58, 32, 13] Operation: 40-27=13
Exploring Operation: 40-32=8, Resulting Numbers: [58, 27, 8]
Generated Node #0,2: 77:[58, 27, 8] Operation: 40-32=8
Exploring Operation: 32+40=72, Resulting Numbers: [58, 27, 72]
Generated Node #0,3: 77:[58, 27, 72] Operation: 32+40=72
Moving to Node #0,2
Current State: 77:[58, 27, 8], Operations: ['40-32=8']
Exploring Operation: 58+27=85, Resulting Numbers: [8, 85]
Generated Node #0,2,0: 77:[8, 85] Operation: 58+27=85
Exploring Operation: 58+8=66, Resulting Numbers: [27, 66]
Generated Node #0,2,1: 77:[27, 66] Operation: 58+8=66
Exploring Operation: 27-8=19, Resulting Numbers: [58, 19]
Generated Node #0,2,2: 77:[58, 19] Operation: 27-8=19
Exploring Operation: 58-27=31, Resulting Numbers: [8, 31]
Generated Node #0,2,3: 77:[8, 31] Operation: 58-27=31
Moving to Node #0,3
Current State: 77:[58, 27, 72], Operations: ['32+40=72']
Exploring Operation: 58+27=85, Resulting Numbers: [72, 85]
Generated Node #0,3,0: 77:[72, 85] Operation: 58+27=85
Exploring Operation: 58-27=31, Resulting Numbers: [72, 31]
Generated Node #0,3,1: 77:[72, 31] Operation: 58-27=31
Exploring Operation: 72-58=14, Resulting Numbers: [27, 14]
Generated Node #0,3,2: 77:[27, 14] Operation: 72-58=14
Exploring Operation: 27+72=99, Resulting Numbers: [58, 99]
Generated Node #0,3,3: 77:[58, 99] Operation: 27+72=99
Moving to Node #0,1
Current State: 77:[58, 32, 13], Operations: ['40-27=13']
Exploring Operation: 58+13=71, Resulting Numbers: [32, 71]
Generated Node #0,1,0: 77:[32, 71] Operation: 58+13=71
Exploring Operation: 58+32=90, Resulting Numbers: [13, 90]
Generated Node #0,1,1: 77:[13, 90] Operation: 58+32=90
Exploring Operation: 58-32=26, Resulting Numbers: [13, 26]
Generated Node #0,1,2: 77:[13, 26] Operation: 58-32=26
Exploring Operation: 32-13=19, Resulting Numbers: [58, 19]
Generated Node #0,1,3: 77:[58, 19] Operation: 32-13=19
Moving to Node #0,0
Current State: 77:[27, 32, 18], Operations: ['58-40=18']
Exploring Operation: 27+32=59, Resulting Numbers: [18, 59]
Generated Node #0,0,0: 77:[18, 59] Operation: 27+32=59
Exploring Operation: 32-18=14, Resulting Numbers: [27, 14]
Generated Node #0,0,1: 77:[27, 14] Operation: 32-18=14
Exploring Operation: 27-18=9, Resulting Numbers: [32, 9]
Generated Node #0,0,2: 77:[32, 9] Operation: 27-18=9
Exploring Operation: 32-27=5, Resulting Numbers: [18, 5]
Generated Node #0,0,3: 77:[18, 5] Operation: 32-27=5
Moving to Node #0,2,0
Current State: 77:[8, 85], Operations: ['40-32=8', '58+27=85']
Exploring Operation: 8+85=93, Resulting Numbers: [93]
93,77 unequal: No Solution
Exploring Operation: 8*85=680, Resulting Numbers: [680]
680,77 unequal: No Solution
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[58, 27, 32, 40], Operations: []
Exploring Operation: 40-32=8, Resulting Numbers: [58, 27, 8]
Generated Node #0,2: 77:[58, 27, 8] Operation: 40-32=8
Moving to Node #0,2
Current State: 77:[58, 27, 8], Operations: ['40-32=8']
Exploring Operation: 58+27=85, Resulting Numbers: [8, 85]
Generated Node #0,2,0: 77:[8, 85] Operation: 58+27=85
Moving to Node #0,2,0
Current State: 77:[8, 85], Operations: ['40-32=8', '58+27=85']
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.976563 | hs_4 | mult_heuristic |
[
21,
84,
23,
76
] | 46 | [
"23-21=2",
"76/2=38",
"84-38=46"
] | Current State: 46:[21, 84, 23, 76], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [84, 76, 2]
Generated Node #2: [84, 76, 2] from Operation: 23-21=2
Current State: 46:[84, 76, 2], Operations: ['23-21=2']
Exploring Operation: 76/2=38, Resulting Numbers: [84, 38]
Generated Node #3: [84, 38] from Operation: 76/2=38
Current State: 46:[84, 38], Operations: ['23-21=2', '76/2=38']
Exploring Operation: 84-38=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[21, 84, 23, 76], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [21, 23, 8]
Generated Node #0,0: 46:[21, 23, 8] Operation: 84-76=8
Exploring Operation: 84/21=4, Resulting Numbers: [23, 76, 4]
Generated Node #0,1: 46:[23, 76, 4] Operation: 84/21=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[21, 23, 8], Operations: ['84-76=8']
Exploring Operation: 21+8=29, Resulting Numbers: [23, 29]
Generated Node #0,0,0: 46:[23, 29] Operation: 21+8=29
Exploring Operation: 23-21=2, Resulting Numbers: [8, 2]
Generated Node #0,0,1: 46:[8, 2] Operation: 23-21=2
Moving to Node #0,0,0
Current State: 46:[23, 29], Operations: ['84-76=8', '21+8=29']
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,46 unequal: No Solution
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[8, 2], Operations: ['84-76=8', '23-21=2']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,46 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[23, 76, 4], Operations: ['84/21=4']
Exploring Operation: 76-23=53, Resulting Numbers: [4, 53]
Generated Node #0,1,0: 46:[4, 53] Operation: 76-23=53
Exploring Operation: 76/4=19, Resulting Numbers: [23, 19]
Generated Node #0,1,1: 46:[23, 19] Operation: 76/4=19
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 46:[23, 19], Operations: ['84/21=4', '76/4=19']
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,46 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,46 unequal: No Solution
No 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: 46:[4, 53], Operations: ['84/21=4', '76-23=53']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,46 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 |
[
5,
8,
54,
55
] | 41 | [
"5*8=40",
"55-54=1",
"40+1=41"
] | Current State: 41:[5, 8, 54, 55], Operations: []
Exploring Operation: 5*8=40, Resulting Numbers: [54, 55, 40]
Generated Node #2: [54, 55, 40] from Operation: 5*8=40
Current State: 41:[54, 55, 40], Operations: ['5*8=40']
Exploring Operation: 55-54=1, Resulting Numbers: [40, 1]
Generated Node #3: [40, 1] from Operation: 55-54=1
Current State: 41:[40, 1], Operations: ['5*8=40', '55-54=1']
Exploring Operation: 40+1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[5, 8, 54, 55], Operations: []
Exploring Operation: 55-5=50, Resulting Numbers: [8, 54, 50]
Generated Node #0,0: 41:[8, 54, 50] Operation: 55-5=50
Exploring Operation: 54-5=49, Resulting Numbers: [8, 55, 49]
Generated Node #0,1: 41:[8, 55, 49] Operation: 54-5=49
Exploring Operation: 5+8=13, Resulting Numbers: [54, 55, 13]
Generated Node #0,2: 41:[54, 55, 13] Operation: 5+8=13
Exploring Operation: 54-8=46, Resulting Numbers: [5, 55, 46]
Generated Node #0,3: 41:[5, 55, 46] Operation: 54-8=46
Exploring Operation: 5*8=40, Resulting Numbers: [54, 55, 40]
Generated Node #0,4: 41:[54, 55, 40] Operation: 5*8=40
Start Sub Search at level 1: Moving to Node #0,4
Current State: 41:[54, 55, 40], Operations: ['5*8=40']
Exploring Operation: 54+40=94, Resulting Numbers: [55, 94]
Generated Node #0,4,0: 41:[55, 94] Operation: 54+40=94
Exploring Operation: 54-40=14, Resulting Numbers: [55, 14]
Generated Node #0,4,1: 41:[55, 14] Operation: 54-40=14
Exploring Operation: 55-54=1, Resulting Numbers: [40, 1]
Generated Node #0,4,2: 41:[40, 1] Operation: 55-54=1
Exploring Operation: 55-40=15, Resulting Numbers: [54, 15]
Generated Node #0,4,3: 41:[54, 15] Operation: 55-40=15
Exploring Operation: 55+40=95, Resulting Numbers: [54, 95]
Generated Node #0,4,4: 41:[54, 95] Operation: 55+40=95
Moving to Node #0,4,3
Current State: 41:[54, 15], Operations: ['5*8=40', '55-40=15']
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,41 unequal: No Solution
Exploring Operation: 54*15=810, Resulting Numbers: [810]
810,41 unequal: No Solution
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Moving to Node #0,4,2
Current State: 41:[40, 1], Operations: ['5*8=40', '55-54=1']
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 40+1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[5, 8, 54, 55], Operations: []
Exploring Operation: 5*8=40, Resulting Numbers: [54, 55, 40]
Generated Node #0,4: 41:[54, 55, 40] Operation: 5*8=40
Moving to Node #0,4
Current State: 41:[54, 55, 40], Operations: ['5*8=40']
Exploring Operation: 55-54=1, Resulting Numbers: [40, 1]
Generated Node #0,4,2: 41:[40, 1] Operation: 55-54=1
Moving to Node #0,4,2
Current State: 41:[40, 1], Operations: ['5*8=40', '55-54=1']
Exploring Operation: 40+1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
95,
18,
51,
22
] | 48 | [
"95-18=77",
"51-22=29",
"77-29=48"
] | Current State: 48:[95, 18, 51, 22], Operations: []
Exploring Operation: 95-18=77, Resulting Numbers: [51, 22, 77]
Generated Node #2: [51, 22, 77] from Operation: 95-18=77
Current State: 48:[51, 22, 77], Operations: ['95-18=77']
Exploring Operation: 51-22=29, Resulting Numbers: [77, 29]
Generated Node #3: [77, 29] from Operation: 51-22=29
Current State: 48:[77, 29], Operations: ['95-18=77', '51-22=29']
Exploring Operation: 77-29=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[95, 18, 51, 22], Operations: []
Exploring Operation: 95-18=77, Resulting Numbers: [51, 22, 77]
Generated Node #0,0: 48:[51, 22, 77] Operation: 95-18=77
Exploring Operation: 95-51=44, Resulting Numbers: [18, 22, 44]
Generated Node #0,1: 48:[18, 22, 44] Operation: 95-51=44
Exploring Operation: 95-22=73, Resulting Numbers: [18, 51, 73]
Generated Node #0,2: 48:[18, 51, 73] Operation: 95-22=73
Exploring Operation: 22-18=4, Resulting Numbers: [95, 51, 4]
Generated Node #0,3: 48:[95, 51, 4] Operation: 22-18=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[18, 22, 44], Operations: ['95-51=44']
Exploring Operation: 44/22=2, Resulting Numbers: [18, 2]
Generated Node #0,1,0: 48:[18, 2] Operation: 44/22=2
Exploring Operation: 44-22=22, Resulting Numbers: [18, 22]
Generated Node #0,1,1: 48:[18, 22] Operation: 44-22=22
Exploring Operation: 22-18=4, Resulting Numbers: [44, 4]
Generated Node #0,1,2: 48:[44, 4] Operation: 22-18=4
Exploring Operation: 44-18=26, Resulting Numbers: [22, 26]
Generated Node #0,1,3: 48:[22, 26] Operation: 44-18=26
Moving to Node #0,1,0
Current State: 48:[18, 2], Operations: ['95-51=44', '44/22=2']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,48 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[44, 4], Operations: ['95-51=44', '22-18=4']
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[95, 18, 51, 22], Operations: []
Exploring Operation: 95-51=44, Resulting Numbers: [18, 22, 44]
Generated Node #0,1: 48:[18, 22, 44] Operation: 95-51=44
Moving to Node #0,1
Current State: 48:[18, 22, 44], Operations: ['95-51=44']
Exploring Operation: 22-18=4, Resulting Numbers: [44, 4]
Generated Node #0,1,2: 48:[44, 4] Operation: 22-18=4
Moving to Node #0,1,2
Current State: 48:[44, 4], Operations: ['95-51=44', '22-18=4']
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
26,
60,
72,
68
] | 82 | [
"26+60=86",
"72-68=4",
"86-4=82"
] | Current State: 82:[26, 60, 72, 68], Operations: []
Exploring Operation: 26+60=86, Resulting Numbers: [72, 68, 86]
Generated Node #2: [72, 68, 86] from Operation: 26+60=86
Current State: 82:[72, 68, 86], Operations: ['26+60=86']
Exploring Operation: 72-68=4, Resulting Numbers: [86, 4]
Generated Node #3: [86, 4] from Operation: 72-68=4
Current State: 82:[86, 4], Operations: ['26+60=86', '72-68=4']
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[26, 60, 72, 68], Operations: []
Exploring Operation: 26+60=86, Resulting Numbers: [72, 68, 86]
Generated Node #0,0: 82:[72, 68, 86] Operation: 26+60=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[72, 68, 86], Operations: ['26+60=86']
Exploring Operation: 72-68=4, Resulting Numbers: [86, 4]
Generated Node #0,0,0: 82:[86, 4] Operation: 72-68=4
Moving to Node #0,0,0
Current State: 82:[86, 4], Operations: ['26+60=86', '72-68=4']
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[26, 60, 72, 68], Operations: []
Exploring Operation: 26+60=86, Resulting Numbers: [72, 68, 86]
Generated Node #0,0: 82:[72, 68, 86] Operation: 26+60=86
Moving to Node #0,0
Current State: 82:[72, 68, 86], Operations: ['26+60=86']
Exploring Operation: 72-68=4, Resulting Numbers: [86, 4]
Generated Node #0,0,0: 82:[86, 4] Operation: 72-68=4
Moving to Node #0,0,0
Current State: 82:[86, 4], Operations: ['26+60=86', '72-68=4']
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
71,
2,
1,
27
] | 98 | [
"71+27=98",
"2-1=1",
"98*1=98"
] | Current State: 98:[71, 2, 1, 27], Operations: []
Exploring Operation: 71+27=98, Resulting Numbers: [2, 1, 98]
Generated Node #2: [2, 1, 98] from Operation: 71+27=98
Current State: 98:[2, 1, 98], Operations: ['71+27=98']
Exploring Operation: 2-1=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 2-1=1
Current State: 98:[98, 1], Operations: ['71+27=98', '2-1=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[71, 2, 1, 27], Operations: []
Exploring Operation: 71-2=69, Resulting Numbers: [1, 27, 69]
Generated Node #0,0: 98:[1, 27, 69] Operation: 71-2=69
Exploring Operation: 2*27=54, Resulting Numbers: [71, 1, 54]
Generated Node #0,1: 98:[71, 1, 54] Operation: 2*27=54
Exploring Operation: 71-27=44, Resulting Numbers: [2, 1, 44]
Generated Node #0,2: 98:[2, 1, 44] Operation: 71-27=44
Exploring Operation: 71+27=98, Resulting Numbers: [2, 1, 98]
Generated Node #0,3: 98:[2, 1, 98] Operation: 71+27=98
Moving to Node #0,3
Current State: 98:[2, 1, 98], Operations: ['71+27=98']
Exploring Operation: 98/1=98, Resulting Numbers: [2, 98]
Generated Node #0,3,0: 98:[2, 98] Operation: 98/1=98
Exploring Operation: 1*98=98, Resulting Numbers: [2, 98]
Generated Node #0,3,1: 98:[2, 98] Operation: 1*98=98
Exploring Operation: 2/1=2, Resulting Numbers: [98, 2]
Generated Node #0,3,2: 98:[98, 2] Operation: 2/1=2
Exploring Operation: 2*1=2, Resulting Numbers: [98, 2]
Generated Node #0,3,3: 98:[98, 2] Operation: 2*1=2
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 98:[2, 98], Operations: ['71+27=98', '98/1=98']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,98 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,98 unequal: No Solution
Exploring Operation: 2+98=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Exploring Operation: 2*98=196, Resulting Numbers: [196]
196,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 98:[2, 98], Operations: ['71+27=98', '1*98=98']
Exploring Operation: 2+98=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Exploring Operation: 2*98=196, Resulting Numbers: [196]
196,98 unequal: No Solution
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,98 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 98:[98, 2], Operations: ['71+27=98', '2/1=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Exploring Operation: 98*2=196, Resulting Numbers: [196]
196,98 unequal: No Solution
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,98 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 98:[98, 2], Operations: ['71+27=98', '2*1=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,98 unequal: No Solution
Exploring Operation: 98*2=196, Resulting Numbers: [196]
196,98 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,98 unequal: No Solution
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 98:[2, 1, 44], Operations: ['71-27=44']
Exploring Operation: 2*1=2, Resulting Numbers: [44, 2]
Generated Node #0,2,0: 98:[44, 2] Operation: 2*1=2
Exploring Operation: 2/1=2, Resulting Numbers: [44, 2]
Generated Node #0,2,1: 98:[44, 2] Operation: 2/1=2
Exploring Operation: 1+44=45, Resulting Numbers: [2, 45]
Generated Node #0,2,2: 98:[2, 45] Operation: 1+44=45
Exploring Operation: 2+44=46, Resulting Numbers: [1, 46]
Generated Node #0,2,3: 98:[1, 46] Operation: 2+44=46
Moving to Node #0,1
Current State: 98:[71, 1, 54], Operations: ['2*27=54']
Exploring Operation: 54-1=53, Resulting Numbers: [71, 53]
Generated Node #0,1,0: 98:[71, 53] Operation: 54-1=53
Exploring Operation: 71*1=71, Resulting Numbers: [54, 71]
Generated Node #0,1,1: 98:[54, 71] Operation: 71*1=71
Exploring Operation: 71-54=17, Resulting Numbers: [1, 17]
Generated Node #0,1,2: 98:[1, 17] Operation: 71-54=17
Exploring Operation: 71-1=70, Resulting Numbers: [54, 70]
Generated Node #0,1,3: 98:[54, 70] Operation: 71-1=70
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 98:[1, 17], Operations: ['2*27=54', '71-54=17']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,98 unequal: No Solution
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,98 unequal: No Solution
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,98 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 98:[71, 53], Operations: ['2*27=54', '54-1=53']
Exploring Operation: 71+53=124, Resulting Numbers: [124]
124,98 unequal: No Solution
Exploring Operation: 71-53=18, Resulting Numbers: [18]
18,98 unequal: No Solution
Exploring Operation: 71*53=3763, Resulting Numbers: [3763]
3763,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 98:[54, 70], Operations: ['2*27=54', '71-1=70']
Exploring Operation: 54+70=124, Resulting Numbers: [124]
124,98 unequal: No Solution
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 54*70=3780, Resulting Numbers: [3780]
3780,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 98:[54, 71], Operations: ['2*27=54', '71*1=71']
Exploring Operation: 54+71=125, Resulting Numbers: [125]
125,98 unequal: No Solution
Exploring Operation: 54*71=3834, Resulting Numbers: [3834]
3834,98 unequal: No Solution
Exploring Operation: 71-54=17, Resulting Numbers: [17]
17,98 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: 98:[1, 27, 69], Operations: ['71-2=69']
Exploring Operation: 27-1=26, Resulting Numbers: [69, 26]
Generated Node #0,0,0: 98:[69, 26] Operation: 27-1=26
Exploring Operation: 69-1=68, Resulting Numbers: [27, 68]
Generated Node #0,0,1: 98:[27, 68] Operation: 69-1=68
Exploring Operation: 27+69=96, Resulting Numbers: [1, 96]
Generated Node #0,0,2: 98:[1, 96] Operation: 27+69=96
Exploring Operation: 69-27=42, Resulting Numbers: [1, 42]
Generated Node #0,0,3: 98:[1, 42] Operation: 69-27=42
Moving to Node #0,0,2
Current State: 98:[1, 96], Operations: ['71-2=69', '27+69=96']
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,98 unequal: No Solution
Exploring Operation: 1*96=96, Resulting Numbers: [96]
96,98 unequal: No Solution
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,98 unequal: No Solution
Exploring Operation: 1+96=97, Resulting Numbers: [97]
97,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[2, 45], Operations: ['71-27=44', '1+44=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,98 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,2,3
Current State: 98:[1, 46], Operations: ['71-27=44', '2+44=46']
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,98 unequal: No Solution
Exploring Operation: 1+46=47, Resulting Numbers: [47]
47,98 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,98 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Moving to Node #0,2,0
Current State: 98:[44, 2], Operations: ['71-27=44', '2*1=2']
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,98 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,98 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[44, 2], Operations: ['71-27=44', '2/1=2']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,98 unequal: No Solution
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,98 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,98 unequal: No Solution
Moving to Node #0,0,3
Current State: 98:[1, 42], Operations: ['71-2=69', '69-27=42']
Exploring Operation: 1+42=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[69, 26], Operations: ['71-2=69', '27-1=26']
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 69*26=1794, Resulting Numbers: [1794]
1794,98 unequal: No Solution
Exploring Operation: 69+26=95, Resulting Numbers: [95]
95,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[27, 68], Operations: ['71-2=69', '69-1=68']
Exploring Operation: 27*68=1836, Resulting Numbers: [1836]
1836,98 unequal: No Solution
Exploring Operation: 27+68=95, Resulting Numbers: [95]
95,98 unequal: No Solution
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,98 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
46,
40,
28,
2
] | 84 | [
"46-40=6",
"28/2=14",
"6*14=84"
] | Current State: 84:[46, 40, 28, 2], Operations: []
Exploring Operation: 46-40=6, Resulting Numbers: [28, 2, 6]
Generated Node #2: [28, 2, 6] from Operation: 46-40=6
Current State: 84:[28, 2, 6], Operations: ['46-40=6']
Exploring Operation: 28/2=14, Resulting Numbers: [6, 14]
Generated Node #3: [6, 14] from Operation: 28/2=14
Current State: 84:[6, 14], Operations: ['46-40=6', '28/2=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[46, 40, 28, 2], Operations: []
Exploring Operation: 46-40=6, Resulting Numbers: [28, 2, 6]
Generated Node #0,0: 84:[28, 2, 6] Operation: 46-40=6
Exploring Operation: 46+40=86, Resulting Numbers: [28, 2, 86]
Generated Node #0,1: 84:[28, 2, 86] Operation: 46+40=86
Moving to Node #0,0
Current State: 84:[28, 2, 6], Operations: ['46-40=6']
Exploring Operation: 2*6=12, Resulting Numbers: [28, 12]
Generated Node #0,0,0: 84:[28, 12] Operation: 2*6=12
Exploring Operation: 28/2=14, Resulting Numbers: [6, 14]
Generated Node #0,0,1: 84:[6, 14] Operation: 28/2=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[28, 12], Operations: ['46-40=6', '2*6=12']
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Exploring Operation: 28+12=40, Resulting Numbers: [40]
40,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[6, 14], Operations: ['46-40=6', '28/2=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[46, 40, 28, 2], Operations: []
Exploring Operation: 46-40=6, Resulting Numbers: [28, 2, 6]
Generated Node #0,0: 84:[28, 2, 6] Operation: 46-40=6
Moving to Node #0,0
Current State: 84:[28, 2, 6], Operations: ['46-40=6']
Exploring Operation: 28/2=14, Resulting Numbers: [6, 14]
Generated Node #0,0,1: 84:[6, 14] Operation: 28/2=14
Moving to Node #0,0,1
Current State: 84:[6, 14], Operations: ['46-40=6', '28/2=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
64,
19,
16,
17
] | 78 | [
"64-19=45",
"16+17=33",
"45+33=78"
] | Current State: 78:[64, 19, 16, 17], Operations: []
Exploring Operation: 64-19=45, Resulting Numbers: [16, 17, 45]
Generated Node #2: [16, 17, 45] from Operation: 64-19=45
Current State: 78:[16, 17, 45], Operations: ['64-19=45']
Exploring Operation: 16+17=33, Resulting Numbers: [45, 33]
Generated Node #3: [45, 33] from Operation: 16+17=33
Current State: 78:[45, 33], Operations: ['64-19=45', '16+17=33']
Exploring Operation: 45+33=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[64, 19, 16, 17], Operations: []
Exploring Operation: 64+19=83, Resulting Numbers: [16, 17, 83]
Generated Node #0,0: 78:[16, 17, 83] Operation: 64+19=83
Exploring Operation: 64/16=4, Resulting Numbers: [19, 17, 4]
Generated Node #0,1: 78:[19, 17, 4] Operation: 64/16=4
Exploring Operation: 64+17=81, Resulting Numbers: [19, 16, 81]
Generated Node #0,2: 78:[19, 16, 81] Operation: 64+17=81
Exploring Operation: 64+16=80, Resulting Numbers: [19, 17, 80]
Generated Node #0,3: 78:[19, 17, 80] Operation: 64+16=80
Exploring Operation: 64-19=45, Resulting Numbers: [16, 17, 45]
Generated Node #0,4: 78:[16, 17, 45] Operation: 64-19=45
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[19, 17, 4], Operations: ['64/16=4']
Exploring Operation: 19+17=36, Resulting Numbers: [4, 36]
Generated Node #0,1,0: 78:[4, 36] Operation: 19+17=36
Exploring Operation: 19-17=2, Resulting Numbers: [4, 2]
Generated Node #0,1,1: 78:[4, 2] Operation: 19-17=2
Exploring Operation: 19-4=15, Resulting Numbers: [17, 15]
Generated Node #0,1,2: 78:[17, 15] Operation: 19-4=15
Exploring Operation: 17-4=13, Resulting Numbers: [19, 13]
Generated Node #0,1,3: 78:[19, 13] Operation: 17-4=13
Exploring Operation: 19*4=76, Resulting Numbers: [17, 76]
Generated Node #0,1,4: 78:[17, 76] Operation: 19*4=76
Moving to Node #0,1,1
Current State: 78:[4, 2], Operations: ['64/16=4', '19-17=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[4, 36], Operations: ['64/16=4', '19+17=36']
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 4*36=144, Resulting Numbers: [144]
144,78 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[17, 15], Operations: ['64/16=4', '19-4=15']
Exploring Operation: 17+15=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 17*15=255, Resulting Numbers: [255]
255,78 unequal: No Solution
Moving to Node #0,1,3
Current State: 78:[19, 13], Operations: ['64/16=4', '17-4=13']
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,78 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Moving to Node #0,1,4
Current State: 78:[17, 76], Operations: ['64/16=4', '19*4=76']
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,78 unequal: No Solution
Exploring Operation: 17*76=1292, Resulting Numbers: [1292]
1292,78 unequal: No Solution
Exploring Operation: 17+76=93, Resulting Numbers: [93]
93,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[16, 17, 83], Operations: ['64+19=83']
Exploring Operation: 83-16=67, Resulting Numbers: [17, 67]
Generated Node #0,0,0: 78:[17, 67] Operation: 83-16=67
Exploring Operation: 16+17=33, Resulting Numbers: [83, 33]
Generated Node #0,0,1: 78:[83, 33] Operation: 16+17=33
Exploring Operation: 17-16=1, Resulting Numbers: [83, 1]
Generated Node #0,0,2: 78:[83, 1] Operation: 17-16=1
Exploring Operation: 83-17=66, Resulting Numbers: [16, 66]
Generated Node #0,0,3: 78:[16, 66] Operation: 83-17=66
Exploring Operation: 16+83=99, Resulting Numbers: [17, 99]
Generated Node #0,0,4: 78:[17, 99] Operation: 16+83=99
Moving to Node #0,0,2
Current State: 78:[83, 1], Operations: ['64+19=83', '17-16=1']
Exploring Operation: 83/1=83, Resulting Numbers: [83]
83,78 unequal: No Solution
Exploring Operation: 83+1=84, Resulting Numbers: [84]
84,78 unequal: No Solution
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,78 unequal: No Solution
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[83, 33], Operations: ['64+19=83', '16+17=33']
Exploring Operation: 83+33=116, Resulting Numbers: [116]
116,78 unequal: No Solution
Exploring Operation: 83*33=2739, Resulting Numbers: [2739]
2739,78 unequal: No Solution
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[17, 67], Operations: ['64+19=83', '83-16=67']
Exploring Operation: 17+67=84, Resulting Numbers: [84]
84,78 unequal: No Solution
Exploring Operation: 17*67=1139, Resulting Numbers: [1139]
1139,78 unequal: No Solution
Exploring Operation: 67-17=50, Resulting Numbers: [50]
50,78 unequal: No Solution
Moving to Node #0,0,3
Current State: 78:[16, 66], Operations: ['64+19=83', '83-17=66']
Exploring Operation: 16*66=1056, Resulting Numbers: [1056]
1056,78 unequal: No Solution
Exploring Operation: 16+66=82, Resulting Numbers: [82]
82,78 unequal: No Solution
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,78 unequal: No Solution
Moving to Node #0,0,4
Current State: 78:[17, 99], Operations: ['64+19=83', '16+83=99']
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,78 unequal: No Solution
Exploring Operation: 17*99=1683, Resulting Numbers: [1683]
1683,78 unequal: No Solution
Exploring Operation: 17+99=116, Resulting Numbers: [116]
116,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[19, 16, 81], Operations: ['64+17=81']
Exploring Operation: 19+81=100, Resulting Numbers: [16, 100]
Generated Node #0,2,0: 78:[16, 100] Operation: 19+81=100
Exploring Operation: 81-19=62, Resulting Numbers: [16, 62]
Generated Node #0,2,1: 78:[16, 62] Operation: 81-19=62
Exploring Operation: 19-16=3, Resulting Numbers: [81, 3]
Generated Node #0,2,2: 78:[81, 3] Operation: 19-16=3
Exploring Operation: 81-16=65, Resulting Numbers: [19, 65]
Generated Node #0,2,3: 78:[19, 65] Operation: 81-16=65
Exploring Operation: 19+16=35, Resulting Numbers: [81, 35]
Generated Node #0,2,4: 78:[81, 35] Operation: 19+16=35
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 78:[81, 3], Operations: ['64+17=81', '19-16=3']
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[64, 19, 16, 17], Operations: []
Exploring Operation: 64+17=81, Resulting Numbers: [19, 16, 81]
Generated Node #0,2: 78:[19, 16, 81] Operation: 64+17=81
Moving to Node #0,2
Current State: 78:[19, 16, 81], Operations: ['64+17=81']
Exploring Operation: 19-16=3, Resulting Numbers: [81, 3]
Generated Node #0,2,2: 78:[81, 3] Operation: 19-16=3
Moving to Node #0,2,2
Current State: 78:[81, 3], Operations: ['64+17=81', '19-16=3']
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.949653 | hs_5 | mult_heuristic |
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