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 |
|---|---|---|---|---|---|---|---|---|
[
63,
21,
25,
84
] | 71 | [
"63*25=1575",
"1575-84=1491",
"1491/21=71"
] | Current State: 71:[63, 21, 25, 84], Operations: []
Exploring Operation: 63*25=1575, Resulting Numbers: [21, 84, 1575]
Generated Node #2: [21, 84, 1575] from Operation: 63*25=1575
Current State: 71:[21, 84, 1575], Operations: ['63*25=1575']
Exploring Operation: 1575-84=1491, Resulting Numbers: [21, 1491]
Generated Node #3: [21, 1491] from Operation: 1575-84=1491
Current State: 71:[21, 1491], Operations: ['63*25=1575', '1575-84=1491']
Exploring Operation: 1491/21=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[63, 21, 25, 84], Operations: []
Exploring Operation: 21+25=46, Resulting Numbers: [63, 84, 46]
Generated Node #0,0: 71:[63, 84, 46] Operation: 21+25=46
Moving to Node #0,0
Current State: 71:[63, 84, 46], Operations: ['21+25=46']
Exploring Operation: 84-46=38, Resulting Numbers: [63, 38]
Generated Node #0,0,0: 71:[63, 38] Operation: 84-46=38
Moving to Node #0,0,0
Current State: 71:[63, 38], Operations: ['21+25=46', '84-46=38']
Exploring Operation: 63+38=101, Resulting Numbers: [101]
101,71 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
15,
8,
9,
7
] | 41 | [
"15-9=6",
"8*6=48",
"48-7=41"
] | Current State: 41:[15, 8, 9, 7], Operations: []
Exploring Operation: 15-9=6, Resulting Numbers: [8, 7, 6]
Generated Node #2: [8, 7, 6] from Operation: 15-9=6
Current State: 41:[8, 7, 6], Operations: ['15-9=6']
Exploring Operation: 8*6=48, Resulting Numbers: [7, 48]
Generated Node #3: [7, 48] from Operation: 8*6=48
Current State: 41:[7, 48], Operations: ['15-9=6', '8*6=48']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[15, 8, 9, 7], Operations: []
Exploring Operation: 15+7=22, Resulting Numbers: [8, 9, 22]
Generated Node #0,0: 41:[8, 9, 22] Operation: 15+7=22
Exploring Operation: 9*7=63, Resulting Numbers: [15, 8, 63]
Generated Node #0,1: 41:[15, 8, 63] Operation: 9*7=63
Exploring Operation: 15+9=24, Resulting Numbers: [8, 7, 24]
Generated Node #0,2: 41:[8, 7, 24] Operation: 15+9=24
Exploring Operation: 8*7=56, Resulting Numbers: [15, 9, 56]
Generated Node #0,3: 41:[15, 9, 56] Operation: 8*7=56
Exploring Operation: 15+8=23, Resulting Numbers: [9, 7, 23]
Generated Node #0,4: 41:[9, 7, 23] Operation: 15+8=23
Moving to Node #0,3
Current State: 41:[15, 9, 56], Operations: ['8*7=56']
Exploring Operation: 9+56=65, Resulting Numbers: [15, 65]
Generated Node #0,3,0: 41:[15, 65] Operation: 9+56=65
Exploring Operation: 15+9=24, Resulting Numbers: [56, 24]
Generated Node #0,3,1: 41:[56, 24] Operation: 15+9=24
Exploring Operation: 15-9=6, Resulting Numbers: [56, 6]
Generated Node #0,3,2: 41:[56, 6] Operation: 15-9=6
Exploring Operation: 56-15=41, Resulting Numbers: [9, 41]
Generated Node #0,3,3: 41:[9, 41] Operation: 56-15=41
Exploring Operation: 56-9=47, Resulting Numbers: [15, 47]
Generated Node #0,3,4: 41:[15, 47] Operation: 56-9=47
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 41:[56, 24], Operations: ['8*7=56', '15+9=24']
Exploring Operation: 56*24=1344, Resulting Numbers: [1344]
1344,41 unequal: No Solution
Exploring Operation: 56-24=32, Resulting Numbers: [32]
32,41 unequal: No Solution
Exploring Operation: 56+24=80, Resulting Numbers: [80]
80,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 41:[9, 41], Operations: ['8*7=56', '56-15=41']
Exploring Operation: 9+41=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,41 unequal: No Solution
Exploring Operation: 9*41=369, Resulting Numbers: [369]
369,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 41:[15, 47], Operations: ['8*7=56', '56-9=47']
Exploring Operation: 15*47=705, Resulting Numbers: [705]
705,41 unequal: No Solution
Exploring Operation: 15+47=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 41:[15, 65], Operations: ['8*7=56', '9+56=65']
Exploring Operation: 15+65=80, Resulting Numbers: [80]
80,41 unequal: No Solution
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 15*65=975, Resulting Numbers: [975]
975,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 41:[56, 6], Operations: ['8*7=56', '15-9=6']
Exploring Operation: 56*6=336, Resulting Numbers: [336]
336,41 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 56+6=62, Resulting Numbers: [62]
62,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 41:[15, 8, 63], Operations: ['9*7=63']
Exploring Operation: 15-8=7, Resulting Numbers: [63, 7]
Generated Node #0,1,0: 41:[63, 7] Operation: 15-8=7
Exploring Operation: 15+8=23, Resulting Numbers: [63, 23]
Generated Node #0,1,1: 41:[63, 23] Operation: 15+8=23
Exploring Operation: 63-15=48, Resulting Numbers: [8, 48]
Generated Node #0,1,2: 41:[8, 48] Operation: 63-15=48
Exploring Operation: 63-8=55, Resulting Numbers: [15, 55]
Generated Node #0,1,3: 41:[15, 55] Operation: 63-8=55
Exploring Operation: 8+63=71, Resulting Numbers: [15, 71]
Generated Node #0,1,4: 41:[15, 71] Operation: 8+63=71
Moving to Node #0,0
Current State: 41:[8, 9, 22], Operations: ['15+7=22']
Exploring Operation: 8*9=72, Resulting Numbers: [22, 72]
Generated Node #0,0,0: 41:[22, 72] Operation: 8*9=72
Exploring Operation: 8+22=30, Resulting Numbers: [9, 30]
Generated Node #0,0,1: 41:[9, 30] Operation: 8+22=30
Exploring Operation: 9-8=1, Resulting Numbers: [22, 1]
Generated Node #0,0,2: 41:[22, 1] Operation: 9-8=1
Exploring Operation: 9+22=31, Resulting Numbers: [8, 31]
Generated Node #0,0,3: 41:[8, 31] Operation: 9+22=31
Exploring Operation: 8+9=17, Resulting Numbers: [22, 17]
Generated Node #0,0,4: 41:[22, 17] Operation: 8+9=17
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[9, 30], Operations: ['15+7=22', '8+22=30']
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Exploring Operation: 9*30=270, Resulting Numbers: [270]
270,41 unequal: No Solution
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 41:[8, 31], Operations: ['15+7=22', '9+22=31']
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,41 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 41:[22, 17], Operations: ['15+7=22', '8+9=17']
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Exploring Operation: 22*17=374, Resulting Numbers: [374]
374,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[22, 72], Operations: ['15+7=22', '8*9=72']
Exploring Operation: 22*72=1584, Resulting Numbers: [1584]
1584,41 unequal: No Solution
Exploring Operation: 72-22=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 22+72=94, Resulting Numbers: [94]
94,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[22, 1], Operations: ['15+7=22', '9-8=1']
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 41:[8, 7, 24], Operations: ['15+9=24']
Exploring Operation: 7+24=31, Resulting Numbers: [8, 31]
Generated Node #0,2,0: 41:[8, 31] Operation: 7+24=31
Exploring Operation: 8*7=56, Resulting Numbers: [24, 56]
Generated Node #0,2,1: 41:[24, 56] Operation: 8*7=56
Exploring Operation: 8+7=15, Resulting Numbers: [24, 15]
Generated Node #0,2,2: 41:[24, 15] Operation: 8+7=15
Exploring Operation: 8-7=1, Resulting Numbers: [24, 1]
Generated Node #0,2,3: 41:[24, 1] Operation: 8-7=1
Exploring Operation: 8+24=32, Resulting Numbers: [7, 32]
Generated Node #0,2,4: 41:[7, 32] Operation: 8+24=32
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 41:[24, 56], Operations: ['15+9=24', '8*7=56']
Exploring Operation: 56-24=32, Resulting Numbers: [32]
32,41 unequal: No Solution
Exploring Operation: 24*56=1344, Resulting Numbers: [1344]
1344,41 unequal: No Solution
Exploring Operation: 24+56=80, Resulting Numbers: [80]
80,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 41:[8, 31], Operations: ['15+9=24', '7+24=31']
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,41 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 41:[24, 15], Operations: ['15+9=24', '8+7=15']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,41 unequal: No Solution
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 24*15=360, Resulting Numbers: [360]
360,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 41:[7, 32], Operations: ['15+9=24', '8+24=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 41:[24, 1], Operations: ['15+9=24', '8-7=1']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,41 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: 41:[9, 7, 23], Operations: ['15+8=23']
Exploring Operation: 9*7=63, Resulting Numbers: [23, 63]
Generated Node #0,4,0: 41:[23, 63] Operation: 9*7=63
Exploring Operation: 9-7=2, Resulting Numbers: [23, 2]
Generated Node #0,4,1: 41:[23, 2] Operation: 9-7=2
Exploring Operation: 9+23=32, Resulting Numbers: [7, 32]
Generated Node #0,4,2: 41:[7, 32] Operation: 9+23=32
Exploring Operation: 9+7=16, Resulting Numbers: [23, 16]
Generated Node #0,4,3: 41:[23, 16] Operation: 9+7=16
Exploring Operation: 7+23=30, Resulting Numbers: [9, 30]
Generated Node #0,4,4: 41:[9, 30] Operation: 7+23=30
Moving to Node #0,1,1
Current State: 41:[63, 23], Operations: ['9*7=63', '15+8=23']
Exploring Operation: 63+23=86, Resulting Numbers: [86]
86,41 unequal: No Solution
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 63*23=1449, Resulting Numbers: [1449]
1449,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[15, 55], Operations: ['9*7=63', '63-8=55']
Exploring Operation: 15+55=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 15*55=825, Resulting Numbers: [825]
825,41 unequal: No Solution
Moving to Node #0,4,0
Current State: 41:[23, 63], Operations: ['15+8=23', '9*7=63']
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 23*63=1449, Resulting Numbers: [1449]
1449,41 unequal: No Solution
Exploring Operation: 23+63=86, Resulting Numbers: [86]
86,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[8, 48], Operations: ['9*7=63', '63-15=48']
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,41 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 8*48=384, Resulting Numbers: [384]
384,41 unequal: No Solution
Moving to Node #0,4,2
Current State: 41:[7, 32], Operations: ['15+8=23', '9+23=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,41 unequal: No Solution
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Moving to Node #0,4,4
Current State: 41:[9, 30], Operations: ['15+8=23', '7+23=30']
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 9*30=270, Resulting Numbers: [270]
270,41 unequal: No Solution
Moving to Node #0,4,3
Current State: 41:[23, 16], Operations: ['15+8=23', '9+7=16']
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 23*16=368, Resulting Numbers: [368]
368,41 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[63, 7], Operations: ['9*7=63', '15-8=7']
Exploring Operation: 63-7=56, Resulting Numbers: [56]
56,41 unequal: No Solution
Exploring Operation: 63*7=441, Resulting Numbers: [441]
441,41 unequal: No Solution
Exploring Operation: 63+7=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 63/7=9, Resulting Numbers: [9]
9,41 unequal: No Solution
Moving to Node #0,1,4
Current State: 41:[15, 71], Operations: ['9*7=63', '8+63=71']
Exploring Operation: 71-15=56, Resulting Numbers: [56]
56,41 unequal: No Solution
Exploring Operation: 15*71=1065, Resulting Numbers: [1065]
1065,41 unequal: No Solution
Exploring Operation: 15+71=86, Resulting Numbers: [86]
86,41 unequal: No Solution
Moving to Node #0,4,1
Current State: 41:[23, 2], Operations: ['15+8=23', '9-7=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,41 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,41 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
80,
10,
49,
87
] | 66 | [
"80-10=70",
"49+87=136",
"136-70=66"
] | Current State: 66:[80, 10, 49, 87], Operations: []
Exploring Operation: 80-10=70, Resulting Numbers: [49, 87, 70]
Generated Node #2: [49, 87, 70] from Operation: 80-10=70
Current State: 66:[49, 87, 70], Operations: ['80-10=70']
Exploring Operation: 49+87=136, Resulting Numbers: [70, 136]
Generated Node #3: [70, 136] from Operation: 49+87=136
Current State: 66:[70, 136], Operations: ['80-10=70', '49+87=136']
Exploring Operation: 136-70=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[80, 10, 49, 87], Operations: []
Exploring Operation: 87-80=7, Resulting Numbers: [10, 49, 7]
Generated Node #0,0: 66:[10, 49, 7] Operation: 87-80=7
Exploring Operation: 87-49=38, Resulting Numbers: [80, 10, 38]
Generated Node #0,1: 66:[80, 10, 38] Operation: 87-49=38
Moving to Node #0,0
Current State: 66:[10, 49, 7], Operations: ['87-80=7']
Exploring Operation: 49/7=7, Resulting Numbers: [10, 7]
Generated Node #0,0,0: 66:[10, 7] Operation: 49/7=7
Exploring Operation: 49-10=39, Resulting Numbers: [7, 39]
Generated Node #0,0,1: 66:[7, 39] Operation: 49-10=39
Moving to Node #0,1
Current State: 66:[80, 10, 38], Operations: ['87-49=38']
Exploring Operation: 80/10=8, Resulting Numbers: [38, 8]
Generated Node #0,1,0: 66:[38, 8] Operation: 80/10=8
Exploring Operation: 80-10=70, Resulting Numbers: [38, 70]
Generated Node #0,1,1: 66:[38, 70] Operation: 80-10=70
Moving to Node #0,0,0
Current State: 66:[10, 7], Operations: ['87-80=7', '49/7=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,66 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Moving to Node #0,1,0
Current State: 66:[38, 8], Operations: ['87-49=38', '80/10=8']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[7, 39], Operations: ['87-80=7', '49-10=39']
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,66 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[38, 70], Operations: ['87-49=38', '80-10=70']
Exploring Operation: 70-38=32, Resulting Numbers: [32]
32,66 unequal: No Solution
Exploring Operation: 38+70=108, Resulting Numbers: [108]
108,66 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
70,
68,
40,
67
] | 13 | [
"70-68=2",
"40*2=80",
"80-67=13"
] | Current State: 13:[70, 68, 40, 67], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [40, 67, 2]
Generated Node #2: [40, 67, 2] from Operation: 70-68=2
Current State: 13:[40, 67, 2], Operations: ['70-68=2']
Exploring Operation: 40*2=80, Resulting Numbers: [67, 80]
Generated Node #3: [67, 80] from Operation: 40*2=80
Current State: 13:[67, 80], Operations: ['70-68=2', '40*2=80']
Exploring Operation: 80-67=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[70, 68, 40, 67], Operations: []
Exploring Operation: 68-40=28, Resulting Numbers: [70, 67, 28]
Generated Node #0,0: 13:[70, 67, 28] Operation: 68-40=28
Exploring Operation: 70-67=3, Resulting Numbers: [68, 40, 3]
Generated Node #0,1: 13:[68, 40, 3] Operation: 70-67=3
Exploring Operation: 70-68=2, Resulting Numbers: [40, 67, 2]
Generated Node #0,2: 13:[40, 67, 2] Operation: 70-68=2
Exploring Operation: 70-40=30, Resulting Numbers: [68, 67, 30]
Generated Node #0,3: 13:[68, 67, 30] Operation: 70-40=30
Exploring Operation: 68-67=1, Resulting Numbers: [70, 40, 1]
Generated Node #0,4: 13:[70, 40, 1] Operation: 68-67=1
Moving to Node #0,1
Current State: 13:[68, 40, 3], Operations: ['70-67=3']
Exploring Operation: 68-3=65, Resulting Numbers: [40, 65]
Generated Node #0,1,0: 13:[40, 65] Operation: 68-3=65
Exploring Operation: 68-40=28, Resulting Numbers: [3, 28]
Generated Node #0,1,1: 13:[3, 28] Operation: 68-40=28
Exploring Operation: 40+3=43, Resulting Numbers: [68, 43]
Generated Node #0,1,2: 13:[68, 43] Operation: 40+3=43
Exploring Operation: 40-3=37, Resulting Numbers: [68, 37]
Generated Node #0,1,3: 13:[68, 37] Operation: 40-3=37
Exploring Operation: 68+3=71, Resulting Numbers: [40, 71]
Generated Node #0,1,4: 13:[40, 71] Operation: 68+3=71
Moving to Node #0,2
Current State: 13:[40, 67, 2], Operations: ['70-68=2']
Exploring Operation: 67-40=27, Resulting Numbers: [2, 27]
Generated Node #0,2,0: 13:[2, 27] Operation: 67-40=27
Exploring Operation: 40+2=42, Resulting Numbers: [67, 42]
Generated Node #0,2,1: 13:[67, 42] Operation: 40+2=42
Exploring Operation: 40-2=38, Resulting Numbers: [67, 38]
Generated Node #0,2,2: 13:[67, 38] Operation: 40-2=38
Exploring Operation: 40/2=20, Resulting Numbers: [67, 20]
Generated Node #0,2,3: 13:[67, 20] Operation: 40/2=20
Exploring Operation: 67-2=65, Resulting Numbers: [40, 65]
Generated Node #0,2,4: 13:[40, 65] Operation: 67-2=65
Moving to Node #0,4
Current State: 13:[70, 40, 1], Operations: ['68-67=1']
Exploring Operation: 40-1=39, Resulting Numbers: [70, 39]
Generated Node #0,4,0: 13:[70, 39] Operation: 40-1=39
Exploring Operation: 70-40=30, Resulting Numbers: [1, 30]
Generated Node #0,4,1: 13:[1, 30] Operation: 70-40=30
Exploring Operation: 70*1=70, Resulting Numbers: [40, 70]
Generated Node #0,4,2: 13:[40, 70] Operation: 70*1=70
Exploring Operation: 70-1=69, Resulting Numbers: [40, 69]
Generated Node #0,4,3: 13:[40, 69] Operation: 70-1=69
Exploring Operation: 70/1=70, Resulting Numbers: [40, 70]
Generated Node #0,4,4: 13:[40, 70] Operation: 70/1=70
Moving to Node #0,0
Current State: 13:[70, 67, 28], Operations: ['68-40=28']
Exploring Operation: 70-67=3, Resulting Numbers: [28, 3]
Generated Node #0,0,0: 13:[28, 3] Operation: 70-67=3
Exploring Operation: 70+28=98, Resulting Numbers: [67, 98]
Generated Node #0,0,1: 13:[67, 98] Operation: 70+28=98
Exploring Operation: 67-28=39, Resulting Numbers: [70, 39]
Generated Node #0,0,2: 13:[70, 39] Operation: 67-28=39
Exploring Operation: 70-28=42, Resulting Numbers: [67, 42]
Generated Node #0,0,3: 13:[67, 42] Operation: 70-28=42
Exploring Operation: 70+67=137, Resulting Numbers: [28, 137]
Generated Node #0,0,4: 13:[28, 137] Operation: 70+67=137
Moving to Node #0,3
Current State: 13:[68, 67, 30], Operations: ['70-40=30']
Exploring Operation: 67-30=37, Resulting Numbers: [68, 37]
Generated Node #0,3,0: 13:[68, 37] Operation: 67-30=37
Exploring Operation: 68-30=38, Resulting Numbers: [67, 38]
Generated Node #0,3,1: 13:[67, 38] Operation: 68-30=38
Exploring Operation: 68+67=135, Resulting Numbers: [30, 135]
Generated Node #0,3,2: 13:[30, 135] Operation: 68+67=135
Exploring Operation: 68+30=98, Resulting Numbers: [67, 98]
Generated Node #0,3,3: 13:[67, 98] Operation: 68+30=98
Exploring Operation: 68-67=1, Resulting Numbers: [30, 1]
Generated Node #0,3,4: 13:[30, 1] Operation: 68-67=1
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 13:[30, 1], Operations: ['70-40=30', '68-67=1']
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 13:[68, 37], Operations: ['70-40=30', '67-30=37']
Exploring Operation: 68*37=2516, Resulting Numbers: [2516]
2516,13 unequal: No Solution
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Exploring Operation: 68+37=105, Resulting Numbers: [105]
105,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 13:[67, 38], Operations: ['70-40=30', '68-30=38']
Exploring Operation: 67*38=2546, Resulting Numbers: [2546]
2546,13 unequal: No Solution
Exploring Operation: 67-38=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 67+38=105, Resulting Numbers: [105]
105,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 13:[30, 135], Operations: ['70-40=30', '68+67=135']
Exploring Operation: 135-30=105, Resulting Numbers: [105]
105,13 unequal: No Solution
Exploring Operation: 30+135=165, Resulting Numbers: [165]
165,13 unequal: No Solution
Exploring Operation: 30*135=4050, Resulting Numbers: [4050]
4050,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 13:[67, 98], Operations: ['70-40=30', '68+30=98']
Exploring Operation: 98-67=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Exploring Operation: 67*98=6566, Resulting Numbers: [6566]
6566,13 unequal: No Solution
Exploring Operation: 67+98=165, Resulting Numbers: [165]
165,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 13:[3, 28], Operations: ['70-67=3', '68-40=28']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[2, 27], Operations: ['70-68=2', '67-40=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[28, 3], Operations: ['68-40=28', '70-67=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Moving to Node #0,4,1
Current State: 13:[1, 30], Operations: ['68-67=1', '70-40=30']
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Moving to Node #0,2,3
Current State: 13:[67, 20], Operations: ['70-68=2', '40/2=20']
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,13 unequal: No Solution
Exploring Operation: 67*20=1340, Resulting Numbers: [1340]
1340,13 unequal: No Solution
Exploring Operation: 67+20=87, Resulting Numbers: [87]
87,13 unequal: No Solution
Moving to Node #0,1,3
Current State: 13:[68, 37], Operations: ['70-67=3', '40-3=37']
Exploring Operation: 68+37=105, Resulting Numbers: [105]
105,13 unequal: No Solution
Exploring Operation: 68*37=2516, Resulting Numbers: [2516]
2516,13 unequal: No Solution
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Moving to Node #0,1,0
Current State: 13:[40, 65], Operations: ['70-67=3', '68-3=65']
Exploring Operation: 40+65=105, Resulting Numbers: [105]
105,13 unequal: No Solution
Exploring Operation: 40*65=2600, Resulting Numbers: [2600]
2600,13 unequal: No Solution
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Moving to Node #0,2,4
Current State: 13:[40, 65], Operations: ['70-68=2', '67-2=65']
Exploring Operation: 40*65=2600, Resulting Numbers: [2600]
2600,13 unequal: No Solution
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Exploring Operation: 40+65=105, Resulting Numbers: [105]
105,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[67, 38], Operations: ['70-68=2', '40-2=38']
Exploring Operation: 67*38=2546, Resulting Numbers: [2546]
2546,13 unequal: No Solution
Exploring Operation: 67-38=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 67+38=105, Resulting Numbers: [105]
105,13 unequal: No Solution
Moving to Node #0,4,3
Current State: 13:[40, 69], Operations: ['68-67=1', '70-1=69']
Exploring Operation: 40*69=2760, Resulting Numbers: [2760]
2760,13 unequal: No Solution
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 40+69=109, Resulting Numbers: [109]
109,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[70, 39], Operations: ['68-40=28', '67-28=39']
Exploring Operation: 70-39=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Exploring Operation: 70+39=109, Resulting Numbers: [109]
109,13 unequal: No Solution
Exploring Operation: 70*39=2730, Resulting Numbers: [2730]
2730,13 unequal: No Solution
Moving to Node #0,4,0
Current State: 13:[70, 39], Operations: ['68-67=1', '40-1=39']
Exploring Operation: 70-39=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Exploring Operation: 70+39=109, Resulting Numbers: [109]
109,13 unequal: No Solution
Exploring Operation: 70*39=2730, Resulting Numbers: [2730]
2730,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[67, 42], Operations: ['70-68=2', '40+2=42']
Exploring Operation: 67+42=109, Resulting Numbers: [109]
109,13 unequal: No Solution
Exploring Operation: 67*42=2814, Resulting Numbers: [2814]
2814,13 unequal: No Solution
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Moving to Node #0,0,3
Current State: 13:[67, 42], Operations: ['68-40=28', '70-28=42']
Exploring Operation: 67*42=2814, Resulting Numbers: [2814]
2814,13 unequal: No Solution
Exploring Operation: 67+42=109, Resulting Numbers: [109]
109,13 unequal: No Solution
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Moving to Node #0,4,4
Current State: 13:[40, 70], Operations: ['68-67=1', '70/1=70']
Exploring Operation: 40*70=2800, Resulting Numbers: [2800]
2800,13 unequal: No Solution
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 40+70=110, Resulting Numbers: [110]
110,13 unequal: No Solution
Moving to Node #0,4,2
Current State: 13:[40, 70], Operations: ['68-67=1', '70*1=70']
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 40+70=110, Resulting Numbers: [110]
110,13 unequal: No Solution
Exploring Operation: 40*70=2800, Resulting Numbers: [2800]
2800,13 unequal: No Solution
Moving to Node #0,1,2
Current State: 13:[68, 43], Operations: ['70-67=3', '40+3=43']
Exploring Operation: 68+43=111, Resulting Numbers: [111]
111,13 unequal: No Solution
Exploring Operation: 68*43=2924, Resulting Numbers: [2924]
2924,13 unequal: No Solution
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Moving to Node #0,1,4
Current State: 13:[40, 71], Operations: ['70-67=3', '68+3=71']
Exploring Operation: 40*71=2840, Resulting Numbers: [2840]
2840,13 unequal: No Solution
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Exploring Operation: 40+71=111, Resulting Numbers: [111]
111,13 unequal: No Solution
Moving to Node #0,0,4
Current State: 13:[28, 137], Operations: ['68-40=28', '70+67=137']
Exploring Operation: 28*137=3836, Resulting Numbers: [3836]
3836,13 unequal: No Solution
Exploring Operation: 137-28=109, Resulting Numbers: [109]
109,13 unequal: No Solution
Exploring Operation: 28+137=165, Resulting Numbers: [165]
165,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[67, 98], Operations: ['68-40=28', '70+28=98']
Exploring Operation: 67*98=6566, Resulting Numbers: [6566]
6566,13 unequal: No Solution
Exploring Operation: 67+98=165, Resulting Numbers: [165]
165,13 unequal: No Solution
Exploring Operation: 98-67=31, Resulting Numbers: [31]
31,13 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
4,
38,
11,
57
] | 21 | [
"38-11=27",
"57+27=84",
"84/4=21"
] | Current State: 21:[4, 38, 11, 57], Operations: []
Exploring Operation: 38-11=27, Resulting Numbers: [4, 57, 27]
Generated Node #2: [4, 57, 27] from Operation: 38-11=27
Current State: 21:[4, 57, 27], Operations: ['38-11=27']
Exploring Operation: 57+27=84, Resulting Numbers: [4, 84]
Generated Node #3: [4, 84] from Operation: 57+27=84
Current State: 21:[4, 84], Operations: ['38-11=27', '57+27=84']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[4, 38, 11, 57], Operations: []
Exploring Operation: 57-38=19, Resulting Numbers: [4, 11, 19]
Generated Node #0,0: 21:[4, 11, 19] Operation: 57-38=19
Exploring Operation: 38-4=34, Resulting Numbers: [11, 57, 34]
Generated Node #0,1: 21:[11, 57, 34] Operation: 38-4=34
Exploring Operation: 57-11=46, Resulting Numbers: [4, 38, 46]
Generated Node #0,2: 21:[4, 38, 46] Operation: 57-11=46
Exploring Operation: 38-11=27, Resulting Numbers: [4, 57, 27]
Generated Node #0,3: 21:[4, 57, 27] Operation: 38-11=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[4, 11, 19], Operations: ['57-38=19']
Exploring Operation: 11-4=7, Resulting Numbers: [19, 7]
Generated Node #0,0,0: 21:[19, 7] Operation: 11-4=7
Exploring Operation: 4+11=15, Resulting Numbers: [19, 15]
Generated Node #0,0,1: 21:[19, 15] Operation: 4+11=15
Exploring Operation: 19-11=8, Resulting Numbers: [4, 8]
Generated Node #0,0,2: 21:[4, 8] Operation: 19-11=8
Exploring Operation: 4+19=23, Resulting Numbers: [11, 23]
Generated Node #0,0,3: 21:[11, 23] Operation: 4+19=23
Moving to Node #0,0,0
Current State: 21:[19, 7], Operations: ['57-38=19', '11-4=7']
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,21 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Moving to Node #0,0,2
Current State: 21:[4, 8], Operations: ['57-38=19', '19-11=8']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,21 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Moving to Node #0,0,3
Current State: 21:[11, 23], Operations: ['57-38=19', '4+19=23']
Exploring Operation: 11*23=253, Resulting Numbers: [253]
253,21 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 11+23=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[19, 15], Operations: ['57-38=19', '4+11=15']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 19*15=285, Resulting Numbers: [285]
285,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[4, 38, 46], Operations: ['57-11=46']
Exploring Operation: 46-38=8, Resulting Numbers: [4, 8]
Generated Node #0,2,0: 21:[4, 8] Operation: 46-38=8
Exploring Operation: 38-4=34, Resulting Numbers: [46, 34]
Generated Node #0,2,1: 21:[46, 34] Operation: 38-4=34
Exploring Operation: 46-4=42, Resulting Numbers: [38, 42]
Generated Node #0,2,2: 21:[38, 42] Operation: 46-4=42
Exploring Operation: 4+38=42, Resulting Numbers: [46, 42]
Generated Node #0,2,3: 21:[46, 42] Operation: 4+38=42
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 21:[4, 8], Operations: ['57-11=46', '46-38=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,21 unequal: No Solution
No 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: 21:[46, 34], Operations: ['57-11=46', '38-4=34']
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Exploring Operation: 46*34=1564, Resulting Numbers: [1564]
1564,21 unequal: No Solution
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,21 unequal: No Solution
No 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: 21:[38, 42], Operations: ['57-11=46', '46-4=42']
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 38*42=1596, Resulting Numbers: [1596]
1596,21 unequal: No Solution
Exploring Operation: 38+42=80, Resulting Numbers: [80]
80,21 unequal: No Solution
No 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: 21:[46, 42], Operations: ['57-11=46', '4+38=42']
Exploring Operation: 46*42=1932, Resulting Numbers: [1932]
1932,21 unequal: No Solution
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Exploring Operation: 46-42=4, Resulting Numbers: [4]
4,21 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: 21:[4, 57, 27], Operations: ['38-11=27']
Exploring Operation: 57-4=53, Resulting Numbers: [27, 53]
Generated Node #0,3,0: 21:[27, 53] Operation: 57-4=53
Exploring Operation: 27-4=23, Resulting Numbers: [57, 23]
Generated Node #0,3,1: 21:[57, 23] Operation: 27-4=23
Exploring Operation: 57-27=30, Resulting Numbers: [4, 30]
Generated Node #0,3,2: 21:[4, 30] Operation: 57-27=30
Exploring Operation: 4+57=61, Resulting Numbers: [27, 61]
Generated Node #0,3,3: 21:[27, 61] Operation: 4+57=61
Moving to Node #0,3,2
Current State: 21:[4, 30], Operations: ['38-11=27', '57-27=30']
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,21 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Moving to Node #0,3,1
Current State: 21:[57, 23], Operations: ['38-11=27', '27-4=23']
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,21 unequal: No Solution
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Moving to Node #0,3,0
Current State: 21:[27, 53], Operations: ['38-11=27', '57-4=53']
Exploring Operation: 27*53=1431, Resulting Numbers: [1431]
1431,21 unequal: No Solution
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 27+53=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Moving to Node #0,3,3
Current State: 21:[27, 61], Operations: ['38-11=27', '4+57=61']
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[11, 57, 34], Operations: ['38-4=34']
Exploring Operation: 34-11=23, Resulting Numbers: [57, 23]
Generated Node #0,1,0: 21:[57, 23] Operation: 34-11=23
Exploring Operation: 57-11=46, Resulting Numbers: [34, 46]
Generated Node #0,1,1: 21:[34, 46] Operation: 57-11=46
Exploring Operation: 11+57=68, Resulting Numbers: [34, 68]
Generated Node #0,1,2: 21:[34, 68] Operation: 11+57=68
Exploring Operation: 57-34=23, Resulting Numbers: [11, 23]
Generated Node #0,1,3: 21:[11, 23] Operation: 57-34=23
Moving to Node #0,1,3
Current State: 21:[11, 23], Operations: ['38-4=34', '57-34=23']
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 11*23=253, Resulting Numbers: [253]
253,21 unequal: No Solution
Exploring Operation: 11+23=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[34, 46], Operations: ['38-4=34', '57-11=46']
Exploring Operation: 34*46=1564, Resulting Numbers: [1564]
1564,21 unequal: No Solution
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 34+46=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[57, 23], Operations: ['38-4=34', '34-11=23']
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,21 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[34, 68], Operations: ['38-4=34', '11+57=68']
Exploring Operation: 34+68=102, Resulting Numbers: [102]
102,21 unequal: No Solution
Exploring Operation: 68-34=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 68/34=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 34*68=2312, Resulting Numbers: [2312]
2312,21 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 |
[
13,
29,
2,
5
] | 55 | [
"29+5=34",
"2*34=68",
"68-13=55"
] | Current State: 55:[13, 29, 2, 5], Operations: []
Exploring Operation: 29+5=34, Resulting Numbers: [13, 2, 34]
Generated Node #2: [13, 2, 34] from Operation: 29+5=34
Current State: 55:[13, 2, 34], Operations: ['29+5=34']
Exploring Operation: 2*34=68, Resulting Numbers: [13, 68]
Generated Node #3: [13, 68] from Operation: 2*34=68
Current State: 55:[13, 68], Operations: ['29+5=34', '2*34=68']
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[13, 29, 2, 5], Operations: []
Exploring Operation: 29*2=58, Resulting Numbers: [13, 5, 58]
Generated Node #0,0: 55:[13, 5, 58] Operation: 29*2=58
Moving to Node #0,0
Current State: 55:[13, 5, 58], Operations: ['29*2=58']
Exploring Operation: 58-5=53, Resulting Numbers: [13, 53]
Generated Node #0,0,0: 55:[13, 53] Operation: 58-5=53
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[13, 53], Operations: ['29*2=58', '58-5=53']
Exploring Operation: 13+53=66, Resulting Numbers: [66]
66,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
28,
81,
97,
81
] | 28 | [
"81-81=0",
"97*0=0",
"28+0=28"
] | Current State: 28:[28, 81, 97, 81], Operations: []
Exploring Operation: 81-81=0, Resulting Numbers: [28, 97, 0]
Generated Node #2: [28, 97, 0] from Operation: 81-81=0
Current State: 28:[28, 97, 0], Operations: ['81-81=0']
Exploring Operation: 97*0=0, Resulting Numbers: [28, 0]
Generated Node #3: [28, 0] from Operation: 97*0=0
Current State: 28:[28, 0], Operations: ['81-81=0', '97*0=0']
Exploring Operation: 28+0=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[28, 81, 97, 81], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [28, 81, 16]
Generated Node #0,0: 28:[28, 81, 16] Operation: 97-81=16
Exploring Operation: 97-81=16, Resulting Numbers: [28, 81, 16]
Generated Node #0,1: 28:[28, 81, 16] Operation: 97-81=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[28, 81, 16], Operations: ['97-81=16']
Exploring Operation: 81-28=53, Resulting Numbers: [16, 53]
Generated Node #0,0,0: 28:[16, 53] Operation: 81-28=53
Exploring Operation: 81-16=65, Resulting Numbers: [28, 65]
Generated Node #0,0,1: 28:[28, 65] Operation: 81-16=65
Moving to Node #0,0,0
Current State: 28:[16, 53], Operations: ['97-81=16', '81-28=53']
Exploring Operation: 16+53=69, Resulting Numbers: [69]
69,28 unequal: No Solution
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[28, 65], Operations: ['97-81=16', '81-16=65']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,28 unequal: No Solution
Exploring Operation: 28+65=93, Resulting Numbers: [93]
93,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[28, 81, 16], Operations: ['97-81=16']
Exploring Operation: 81-16=65, Resulting Numbers: [28, 65]
Generated Node #0,1,0: 28:[28, 65] Operation: 81-16=65
Exploring Operation: 81-28=53, Resulting Numbers: [16, 53]
Generated Node #0,1,1: 28:[16, 53] Operation: 81-28=53
Moving to Node #0,1,1
Current State: 28:[16, 53], Operations: ['97-81=16', '81-28=53']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,28 unequal: No Solution
Exploring Operation: 16+53=69, Resulting Numbers: [69]
69,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[28, 65], Operations: ['97-81=16', '81-16=65']
Exploring Operation: 28+65=93, Resulting Numbers: [93]
93,28 unequal: No Solution
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,28 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 |
[
13,
81,
28,
5
] | 44 | [
"13*5=65",
"81+28=109",
"109-65=44"
] | Current State: 44:[13, 81, 28, 5], Operations: []
Exploring Operation: 13*5=65, Resulting Numbers: [81, 28, 65]
Generated Node #2: [81, 28, 65] from Operation: 13*5=65
Current State: 44:[81, 28, 65], Operations: ['13*5=65']
Exploring Operation: 81+28=109, Resulting Numbers: [65, 109]
Generated Node #3: [65, 109] from Operation: 81+28=109
Current State: 44:[65, 109], Operations: ['13*5=65', '81+28=109']
Exploring Operation: 109-65=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[13, 81, 28, 5], Operations: []
Exploring Operation: 81-13=68, Resulting Numbers: [28, 5, 68]
Generated Node #0,0: 44:[28, 5, 68] Operation: 81-13=68
Exploring Operation: 81-28=53, Resulting Numbers: [13, 5, 53]
Generated Node #0,1: 44:[13, 5, 53] Operation: 81-28=53
Moving to Node #0,1
Current State: 44:[13, 5, 53], Operations: ['81-28=53']
Exploring Operation: 53-13=40, Resulting Numbers: [5, 40]
Generated Node #0,1,0: 44:[5, 40] Operation: 53-13=40
Exploring Operation: 53-5=48, Resulting Numbers: [13, 48]
Generated Node #0,1,1: 44:[13, 48] Operation: 53-5=48
Moving to Node #0,0
Current State: 44:[28, 5, 68], Operations: ['81-13=68']
Exploring Operation: 28-5=23, Resulting Numbers: [68, 23]
Generated Node #0,0,0: 44:[68, 23] Operation: 28-5=23
Exploring Operation: 68-28=40, Resulting Numbers: [5, 40]
Generated Node #0,0,1: 44:[5, 40] Operation: 68-28=40
Moving to Node #0,1,0
Current State: 44:[5, 40], Operations: ['81-28=53', '53-13=40']
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[5, 40], Operations: ['81-13=68', '68-28=40']
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,44 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[13, 48], Operations: ['81-28=53', '53-5=48']
Exploring Operation: 13+48=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[68, 23], Operations: ['81-13=68', '28-5=23']
Exploring Operation: 68+23=91, Resulting Numbers: [91]
91,44 unequal: No Solution
Exploring Operation: 68-23=45, Resulting Numbers: [45]
45,44 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
2,
17,
30,
52
] | 27 | [
"52-30=22",
"2*22=44",
"44-17=27"
] | Current State: 27:[2, 17, 30, 52], Operations: []
Exploring Operation: 52-30=22, Resulting Numbers: [2, 17, 22]
Generated Node #2: [2, 17, 22] from Operation: 52-30=22
Current State: 27:[2, 17, 22], Operations: ['52-30=22']
Exploring Operation: 2*22=44, Resulting Numbers: [17, 44]
Generated Node #3: [17, 44] from Operation: 2*22=44
Current State: 27:[17, 44], Operations: ['52-30=22', '2*22=44']
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[2, 17, 30, 52], Operations: []
Exploring Operation: 52-17=35, Resulting Numbers: [2, 30, 35]
Generated Node #0,0: 27:[2, 30, 35] Operation: 52-17=35
Exploring Operation: 52/2=26, Resulting Numbers: [17, 30, 26]
Generated Node #0,1: 27:[17, 30, 26] Operation: 52/2=26
Exploring Operation: 52-30=22, Resulting Numbers: [2, 17, 22]
Generated Node #0,2: 27:[2, 17, 22] Operation: 52-30=22
Exploring Operation: 30-17=13, Resulting Numbers: [2, 52, 13]
Generated Node #0,3: 27:[2, 52, 13] Operation: 30-17=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[2, 30, 35], Operations: ['52-17=35']
Exploring Operation: 35-2=33, Resulting Numbers: [30, 33]
Generated Node #0,0,0: 27:[30, 33] Operation: 35-2=33
Exploring Operation: 35-30=5, Resulting Numbers: [2, 5]
Generated Node #0,0,1: 27:[2, 5] Operation: 35-30=5
Exploring Operation: 30-2=28, Resulting Numbers: [35, 28]
Generated Node #0,0,2: 27:[35, 28] Operation: 30-2=28
Exploring Operation: 2+30=32, Resulting Numbers: [35, 32]
Generated Node #0,0,3: 27:[35, 32] Operation: 2+30=32
Moving to Node #0,0,1
Current State: 27:[2, 5], Operations: ['52-17=35', '35-30=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[35, 28], Operations: ['52-17=35', '30-2=28']
Exploring Operation: 35+28=63, Resulting Numbers: [63]
63,27 unequal: No Solution
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Exploring Operation: 35*28=980, Resulting Numbers: [980]
980,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[30, 33], Operations: ['52-17=35', '35-2=33']
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,27 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,27 unequal: No Solution
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Moving to Node #0,0,3
Current State: 27:[35, 32], Operations: ['52-17=35', '2+30=32']
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,27 unequal: No Solution
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[17, 30, 26], Operations: ['52/2=26']
Exploring Operation: 17+26=43, Resulting Numbers: [30, 43]
Generated Node #0,1,0: 27:[30, 43] Operation: 17+26=43
Exploring Operation: 26-17=9, Resulting Numbers: [30, 9]
Generated Node #0,1,1: 27:[30, 9] Operation: 26-17=9
Exploring Operation: 30-26=4, Resulting Numbers: [17, 4]
Generated Node #0,1,2: 27:[17, 4] Operation: 30-26=4
Exploring Operation: 30-17=13, Resulting Numbers: [26, 13]
Generated Node #0,1,3: 27:[26, 13] Operation: 30-17=13
Moving to Node #0,1,1
Current State: 27:[30, 9], Operations: ['52/2=26', '26-17=9']
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 30+9=39, Resulting Numbers: [39]
39,27 unequal: No Solution
Exploring Operation: 30*9=270, Resulting Numbers: [270]
270,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[26, 13], Operations: ['52/2=26', '30-17=13']
Exploring Operation: 26+13=39, Resulting Numbers: [39]
39,27 unequal: No Solution
Exploring Operation: 26*13=338, Resulting Numbers: [338]
338,27 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Moving to Node #0,1,2
Current State: 27:[17, 4], Operations: ['52/2=26', '30-26=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,27 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[30, 43], Operations: ['52/2=26', '17+26=43']
Exploring Operation: 30*43=1290, Resulting Numbers: [1290]
1290,27 unequal: No Solution
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 30+43=73, Resulting Numbers: [73]
73,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[2, 17, 22], Operations: ['52-30=22']
Exploring Operation: 22-17=5, Resulting Numbers: [2, 5]
Generated Node #0,2,0: 27:[2, 5] Operation: 22-17=5
Exploring Operation: 17-2=15, Resulting Numbers: [22, 15]
Generated Node #0,2,1: 27:[22, 15] Operation: 17-2=15
Exploring Operation: 22/2=11, Resulting Numbers: [17, 11]
Generated Node #0,2,2: 27:[17, 11] Operation: 22/2=11
Exploring Operation: 2+22=24, Resulting Numbers: [17, 24]
Generated Node #0,2,3: 27:[17, 24] Operation: 2+22=24
Moving to Node #0,2,0
Current State: 27:[2, 5], Operations: ['52-30=22', '22-17=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Moving to Node #0,2,2
Current State: 27:[17, 11], Operations: ['52-30=22', '22/2=11']
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,27 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Moving to Node #0,2,3
Current State: 27:[17, 24], Operations: ['52-30=22', '2+22=24']
Exploring Operation: 17*24=408, Resulting Numbers: [408]
408,27 unequal: No Solution
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[22, 15], Operations: ['52-30=22', '17-2=15']
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Exploring Operation: 22*15=330, Resulting Numbers: [330]
330,27 unequal: No Solution
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[2, 52, 13], Operations: ['30-17=13']
Exploring Operation: 52-13=39, Resulting Numbers: [2, 39]
Generated Node #0,3,0: 27:[2, 39] Operation: 52-13=39
Exploring Operation: 52/13=4, Resulting Numbers: [2, 4]
Generated Node #0,3,1: 27:[2, 4] Operation: 52/13=4
Exploring Operation: 52/2=26, Resulting Numbers: [13, 26]
Generated Node #0,3,2: 27:[13, 26] Operation: 52/2=26
Exploring Operation: 2*13=26, Resulting Numbers: [52, 26]
Generated Node #0,3,3: 27:[52, 26] Operation: 2*13=26
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 27:[2, 4], Operations: ['30-17=13', '52/13=4']
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 27:[13, 26], Operations: ['30-17=13', '52/2=26']
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 13*26=338, Resulting Numbers: [338]
338,27 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 13+26=39, Resulting Numbers: [39]
39,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 27:[2, 39], Operations: ['30-17=13', '52-13=39']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,27 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 27:[52, 26], Operations: ['30-17=13', '2*13=26']
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,27 unequal: No Solution
Exploring Operation: 52+26=78, Resulting Numbers: [78]
78,27 unequal: No Solution
Exploring Operation: 52*26=1352, Resulting Numbers: [1352]
1352,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
61,
57,
58,
46
] | 33 | [
"61-58=3",
"57-46=11",
"3*11=33"
] | Current State: 33:[61, 57, 58, 46], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [57, 46, 3]
Generated Node #2: [57, 46, 3] from Operation: 61-58=3
Current State: 33:[57, 46, 3], Operations: ['61-58=3']
Exploring Operation: 57-46=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 57-46=11
Current State: 33:[3, 11], Operations: ['61-58=3', '57-46=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[61, 57, 58, 46], Operations: []
Exploring Operation: 58-57=1, Resulting Numbers: [61, 46, 1]
Generated Node #0,0: 33:[61, 46, 1] Operation: 58-57=1
Exploring Operation: 61-57=4, Resulting Numbers: [58, 46, 4]
Generated Node #0,1: 33:[58, 46, 4] Operation: 61-57=4
Exploring Operation: 61-58=3, Resulting Numbers: [57, 46, 3]
Generated Node #0,2: 33:[57, 46, 3] Operation: 61-58=3
Exploring Operation: 61-46=15, Resulting Numbers: [57, 58, 15]
Generated Node #0,3: 33:[57, 58, 15] Operation: 61-46=15
Moving to Node #0,2
Current State: 33:[57, 46, 3], Operations: ['61-58=3']
Exploring Operation: 57-3=54, Resulting Numbers: [46, 54]
Generated Node #0,2,0: 33:[46, 54] Operation: 57-3=54
Exploring Operation: 57-46=11, Resulting Numbers: [3, 11]
Generated Node #0,2,1: 33:[3, 11] Operation: 57-46=11
Exploring Operation: 57/3=19, Resulting Numbers: [46, 19]
Generated Node #0,2,2: 33:[46, 19] Operation: 57/3=19
Exploring Operation: 46-3=43, Resulting Numbers: [57, 43]
Generated Node #0,2,3: 33:[57, 43] Operation: 46-3=43
Moving to Node #0,1
Current State: 33:[58, 46, 4], Operations: ['61-57=4']
Exploring Operation: 58-46=12, Resulting Numbers: [4, 12]
Generated Node #0,1,0: 33:[4, 12] Operation: 58-46=12
Exploring Operation: 58+4=62, Resulting Numbers: [46, 62]
Generated Node #0,1,1: 33:[46, 62] Operation: 58+4=62
Exploring Operation: 58-4=54, Resulting Numbers: [46, 54]
Generated Node #0,1,2: 33:[46, 54] Operation: 58-4=54
Exploring Operation: 46-4=42, Resulting Numbers: [58, 42]
Generated Node #0,1,3: 33:[58, 42] Operation: 46-4=42
Moving to Node #0,0
Current State: 33:[61, 46, 1], Operations: ['58-57=1']
Exploring Operation: 61-46=15, Resulting Numbers: [1, 15]
Generated Node #0,0,0: 33:[1, 15] Operation: 61-46=15
Exploring Operation: 61*1=61, Resulting Numbers: [46, 61]
Generated Node #0,0,1: 33:[46, 61] Operation: 61*1=61
Exploring Operation: 61-1=60, Resulting Numbers: [46, 60]
Generated Node #0,0,2: 33:[46, 60] Operation: 61-1=60
Exploring Operation: 46-1=45, Resulting Numbers: [61, 45]
Generated Node #0,0,3: 33:[61, 45] Operation: 46-1=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[1, 15], Operations: ['58-57=1', '61-46=15']
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,33 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 #0,0,2
Current State: 33:[46, 60], Operations: ['58-57=1', '61-1=60']
Exploring Operation: 60-46=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 46+60=106, Resulting Numbers: [106]
106,33 unequal: No Solution
Exploring Operation: 46*60=2760, Resulting Numbers: [2760]
2760,33 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 #0,0,3
Current State: 33:[61, 45], Operations: ['58-57=1', '46-1=45']
Exploring Operation: 61+45=106, Resulting Numbers: [106]
106,33 unequal: No Solution
Exploring Operation: 61*45=2745, Resulting Numbers: [2745]
2745,33 unequal: No Solution
Exploring Operation: 61-45=16, Resulting Numbers: [16]
16,33 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 #0,0,1
Current State: 33:[46, 61], Operations: ['58-57=1', '61*1=61']
Exploring Operation: 46+61=107, Resulting Numbers: [107]
107,33 unequal: No Solution
Exploring Operation: 61-46=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 46*61=2806, Resulting Numbers: [2806]
2806,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 33:[57, 58, 15], Operations: ['61-46=15']
Exploring Operation: 58-15=43, Resulting Numbers: [57, 43]
Generated Node #0,3,0: 33:[57, 43] Operation: 58-15=43
Exploring Operation: 57-15=42, Resulting Numbers: [58, 42]
Generated Node #0,3,1: 33:[58, 42] Operation: 57-15=42
Exploring Operation: 58-57=1, Resulting Numbers: [15, 1]
Generated Node #0,3,2: 33:[15, 1] Operation: 58-57=1
Exploring Operation: 57+15=72, Resulting Numbers: [58, 72]
Generated Node #0,3,3: 33:[58, 72] Operation: 57+15=72
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 33:[15, 1], Operations: ['61-46=15', '58-57=1']
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 33:[57, 43], Operations: ['61-46=15', '58-15=43']
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,33 unequal: No Solution
Exploring Operation: 57*43=2451, Resulting Numbers: [2451]
2451,33 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 33:[58, 42], Operations: ['61-46=15', '57-15=42']
Exploring Operation: 58*42=2436, Resulting Numbers: [2436]
2436,33 unequal: No Solution
Exploring Operation: 58+42=100, Resulting Numbers: [100]
100,33 unequal: No Solution
Exploring Operation: 58-42=16, Resulting Numbers: [16]
16,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 33:[58, 72], Operations: ['61-46=15', '57+15=72']
Exploring Operation: 58+72=130, Resulting Numbers: [130]
130,33 unequal: No Solution
Exploring Operation: 72-58=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 58*72=4176, Resulting Numbers: [4176]
4176,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 33:[3, 11], Operations: ['61-58=3', '57-46=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[61, 57, 58, 46], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [57, 46, 3]
Generated Node #0,2: 33:[57, 46, 3] Operation: 61-58=3
Moving to Node #0,2
Current State: 33:[57, 46, 3], Operations: ['61-58=3']
Exploring Operation: 57-46=11, Resulting Numbers: [3, 11]
Generated Node #0,2,1: 33:[3, 11] Operation: 57-46=11
Moving to Node #0,2,1
Current State: 33:[3, 11], Operations: ['61-58=3', '57-46=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 0.955729 | hs_4 | sum_heuristic |
[
58,
77,
84,
61
] | 17 | [
"58+61=119",
"84-77=7",
"119/7=17"
] | Current State: 17:[58, 77, 84, 61], Operations: []
Exploring Operation: 58+61=119, Resulting Numbers: [77, 84, 119]
Generated Node #2: [77, 84, 119] from Operation: 58+61=119
Current State: 17:[77, 84, 119], Operations: ['58+61=119']
Exploring Operation: 84-77=7, Resulting Numbers: [119, 7]
Generated Node #3: [119, 7] from Operation: 84-77=7
Current State: 17:[119, 7], Operations: ['58+61=119', '84-77=7']
Exploring Operation: 119/7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[58, 77, 84, 61], Operations: []
Exploring Operation: 84-61=23, Resulting Numbers: [58, 77, 23]
Generated Node #0,0: 17:[58, 77, 23] Operation: 84-61=23
Exploring Operation: 84-77=7, Resulting Numbers: [58, 61, 7]
Generated Node #0,1: 17:[58, 61, 7] Operation: 84-77=7
Moving to Node #0,1
Current State: 17:[58, 61, 7], Operations: ['84-77=7']
Exploring Operation: 61-58=3, Resulting Numbers: [7, 3]
Generated Node #0,1,0: 17:[7, 3] Operation: 61-58=3
Exploring Operation: 58-7=51, Resulting Numbers: [61, 51]
Generated Node #0,1,1: 17:[61, 51] Operation: 58-7=51
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 17:[7, 3], Operations: ['84-77=7', '61-58=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,17 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 17:[61, 51], Operations: ['84-77=7', '58-7=51']
Exploring Operation: 61-51=10, Resulting Numbers: [10]
10,17 unequal: No Solution
Exploring Operation: 61+51=112, Resulting Numbers: [112]
112,17 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: 17:[58, 77, 23], Operations: ['84-61=23']
Exploring Operation: 58-23=35, Resulting Numbers: [77, 35]
Generated Node #0,0,0: 17:[77, 35] Operation: 58-23=35
Exploring Operation: 77-58=19, Resulting Numbers: [23, 19]
Generated Node #0,0,1: 17:[23, 19] Operation: 77-58=19
Moving to Node #0,0,1
Current State: 17:[23, 19], Operations: ['84-61=23', '77-58=19']
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,17 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[77, 35], Operations: ['84-61=23', '58-23=35']
Exploring Operation: 77+35=112, Resulting Numbers: [112]
112,17 unequal: No Solution
Exploring Operation: 77-35=42, Resulting Numbers: [42]
42,17 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
20,
39,
4,
60
] | 64 | [
"60-39=21",
"4*21=84",
"84-20=64"
] | Current State: 64:[20, 39, 4, 60], Operations: []
Exploring Operation: 60-39=21, Resulting Numbers: [20, 4, 21]
Generated Node #2: [20, 4, 21] from Operation: 60-39=21
Current State: 64:[20, 4, 21], Operations: ['60-39=21']
Exploring Operation: 4*21=84, Resulting Numbers: [20, 84]
Generated Node #3: [20, 84] from Operation: 4*21=84
Current State: 64:[20, 84], Operations: ['60-39=21', '4*21=84']
Exploring Operation: 84-20=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[20, 39, 4, 60], Operations: []
Exploring Operation: 20+39=59, Resulting Numbers: [4, 60, 59]
Generated Node #0,0: 64:[4, 60, 59] Operation: 20+39=59
Exploring Operation: 39-20=19, Resulting Numbers: [4, 60, 19]
Generated Node #0,1: 64:[4, 60, 19] Operation: 39-20=19
Exploring Operation: 60/20=3, Resulting Numbers: [39, 4, 3]
Generated Node #0,2: 64:[39, 4, 3] Operation: 60/20=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[4, 60, 19], Operations: ['39-20=19']
Exploring Operation: 4+60=64, Resulting Numbers: [19, 64]
Generated Node #0,1,0: 64:[19, 64] Operation: 4+60=64
Exploring Operation: 19-4=15, Resulting Numbers: [60, 15]
Generated Node #0,1,1: 64:[60, 15] Operation: 19-4=15
Exploring Operation: 60/4=15, Resulting Numbers: [19, 15]
Generated Node #0,1,2: 64:[19, 15] Operation: 60/4=15
Moving to Node #0,1,0
Current State: 64:[19, 64], Operations: ['39-20=19', '4+60=64']
Exploring Operation: 19*64=1216, Resulting Numbers: [1216]
1216,64 unequal: No Solution
Exploring Operation: 19+64=83, Resulting Numbers: [83]
83,64 unequal: No Solution
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[19, 15], Operations: ['39-20=19', '60/4=15']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 19*15=285, Resulting Numbers: [285]
285,64 unequal: No Solution
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[60, 15], Operations: ['39-20=19', '19-4=15']
Exploring Operation: 60/15=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 60+15=75, Resulting Numbers: [75]
75,64 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
Current State: 64:[39, 4, 3], Operations: ['60/20=3']
Exploring Operation: 39-4=35, Resulting Numbers: [3, 35]
Generated Node #0,2,0: 64:[3, 35] Operation: 39-4=35
Exploring Operation: 39/3=13, Resulting Numbers: [4, 13]
Generated Node #0,2,1: 64:[4, 13] Operation: 39/3=13
Exploring Operation: 39-3=36, Resulting Numbers: [4, 36]
Generated Node #0,2,2: 64:[4, 36] Operation: 39-3=36
Moving to Node #0,2,1
Current State: 64:[4, 13], Operations: ['60/20=3', '39/3=13']
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[3, 35], Operations: ['60/20=3', '39-4=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,64 unequal: No Solution
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,64 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[4, 36], Operations: ['60/20=3', '39-3=36']
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,64 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
Current State: 64:[4, 60, 59], Operations: ['20+39=59']
Exploring Operation: 4+60=64, Resulting Numbers: [59, 64]
Generated Node #0,0,0: 64:[59, 64] Operation: 4+60=64
Exploring Operation: 60-59=1, Resulting Numbers: [4, 1]
Generated Node #0,0,1: 64:[4, 1] Operation: 60-59=1
Exploring Operation: 4+59=63, Resulting Numbers: [60, 63]
Generated Node #0,0,2: 64:[60, 63] Operation: 4+59=63
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 64:[4, 1], Operations: ['20+39=59', '60-59=1']
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,64 unequal: No Solution
No 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: 64:[59, 64], Operations: ['20+39=59', '4+60=64']
Exploring Operation: 59*64=3776, Resulting Numbers: [3776]
3776,64 unequal: No Solution
Exploring Operation: 59+64=123, Resulting Numbers: [123]
123,64 unequal: No Solution
Exploring Operation: 64-59=5, Resulting Numbers: [5]
5,64 unequal: No Solution
No 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: 64:[60, 63], Operations: ['20+39=59', '4+59=63']
Exploring Operation: 60+63=123, Resulting Numbers: [123]
123,64 unequal: No Solution
Exploring Operation: 60*63=3780, Resulting Numbers: [3780]
3780,64 unequal: No Solution
Exploring Operation: 63-60=3, Resulting Numbers: [3]
3,64 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 |
[
45,
43,
66,
15
] | 36 | [
"45-43=2",
"15*2=30",
"66-30=36"
] | Current State: 36:[45, 43, 66, 15], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [66, 15, 2]
Generated Node #2: [66, 15, 2] from Operation: 45-43=2
Current State: 36:[66, 15, 2], Operations: ['45-43=2']
Exploring Operation: 15*2=30, Resulting Numbers: [66, 30]
Generated Node #3: [66, 30] from Operation: 15*2=30
Current State: 36:[66, 30], Operations: ['45-43=2', '15*2=30']
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[45, 43, 66, 15], Operations: []
Exploring Operation: 66-45=21, Resulting Numbers: [43, 15, 21]
Generated Node #0,0: 36:[43, 15, 21] Operation: 66-45=21
Exploring Operation: 66-43=23, Resulting Numbers: [45, 15, 23]
Generated Node #0,1: 36:[45, 15, 23] Operation: 66-43=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[43, 15, 21], Operations: ['66-45=21']
Exploring Operation: 15+21=36, Resulting Numbers: [43, 36]
Generated Node #0,0,0: 36:[43, 36] Operation: 15+21=36
Exploring Operation: 43-21=22, Resulting Numbers: [15, 22]
Generated Node #0,0,1: 36:[15, 22] Operation: 43-21=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[43, 36], Operations: ['66-45=21', '15+21=36']
Exploring Operation: 43+36=79, Resulting Numbers: [79]
79,36 unequal: No Solution
Exploring Operation: 43-36=7, Resulting Numbers: [7]
7,36 unequal: No Solution
No 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: 36:[15, 22], Operations: ['66-45=21', '43-21=22']
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 15+22=37, Resulting Numbers: [37]
37,36 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: 36:[45, 15, 23], Operations: ['66-43=23']
Exploring Operation: 45-23=22, Resulting Numbers: [15, 22]
Generated Node #0,1,0: 36:[15, 22] Operation: 45-23=22
Exploring Operation: 45/15=3, Resulting Numbers: [23, 3]
Generated Node #0,1,1: 36:[23, 3] Operation: 45/15=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 36:[23, 3], Operations: ['66-43=23', '45/15=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,36 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,36 unequal: No Solution
No 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: 36:[15, 22], Operations: ['66-43=23', '45-23=22']
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 15+22=37, Resulting Numbers: [37]
37,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
13,
70,
42,
17
] | 98 | [
"13+17=30",
"70*42=2940",
"2940/30=98"
] | Current State: 98:[13, 70, 42, 17], Operations: []
Exploring Operation: 13+17=30, Resulting Numbers: [70, 42, 30]
Generated Node #2: [70, 42, 30] from Operation: 13+17=30
Current State: 98:[70, 42, 30], Operations: ['13+17=30']
Exploring Operation: 70*42=2940, Resulting Numbers: [30, 2940]
Generated Node #3: [30, 2940] from Operation: 70*42=2940
Current State: 98:[30, 2940], Operations: ['13+17=30', '70*42=2940']
Exploring Operation: 2940/30=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[13, 70, 42, 17], Operations: []
Exploring Operation: 70-17=53, Resulting Numbers: [13, 42, 53]
Generated Node #0,0: 98:[13, 42, 53] Operation: 70-17=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[13, 42, 53], Operations: ['70-17=53']
Exploring Operation: 42+53=95, Resulting Numbers: [13, 95]
Generated Node #0,0,0: 98:[13, 95] Operation: 42+53=95
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[13, 95], Operations: ['70-17=53', '42+53=95']
Exploring Operation: 13+95=108, Resulting Numbers: [108]
108,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
92,
65,
97,
46
] | 81 | [
"92/46=2",
"65+97=162",
"162/2=81"
] | Current State: 81:[92, 65, 97, 46], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [65, 97, 2]
Generated Node #2: [65, 97, 2] from Operation: 92/46=2
Current State: 81:[65, 97, 2], Operations: ['92/46=2']
Exploring Operation: 65+97=162, Resulting Numbers: [2, 162]
Generated Node #3: [2, 162] from Operation: 65+97=162
Current State: 81:[2, 162], Operations: ['92/46=2', '65+97=162']
Exploring Operation: 162/2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[92, 65, 97, 46], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [65, 97, 2]
Generated Node #0,0: 81:[65, 97, 2] Operation: 92/46=2
Exploring Operation: 92-65=27, Resulting Numbers: [97, 46, 27]
Generated Node #0,1: 81:[97, 46, 27] Operation: 92-65=27
Moving to Node #0,0
Current State: 81:[65, 97, 2], Operations: ['92/46=2']
Exploring Operation: 97-65=32, Resulting Numbers: [2, 32]
Generated Node #0,0,0: 81:[2, 32] Operation: 97-65=32
Exploring Operation: 65+2=67, Resulting Numbers: [97, 67]
Generated Node #0,0,1: 81:[97, 67] Operation: 65+2=67
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[2, 32], Operations: ['92/46=2', '97-65=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[97, 67], Operations: ['92/46=2', '65+2=67']
Exploring Operation: 97-67=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 97+67=164, Resulting Numbers: [164]
164,81 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: 81:[97, 46, 27], Operations: ['92-65=27']
Exploring Operation: 97-46=51, Resulting Numbers: [27, 51]
Generated Node #0,1,0: 81:[27, 51] Operation: 97-46=51
Exploring Operation: 46+27=73, Resulting Numbers: [97, 73]
Generated Node #0,1,1: 81:[97, 73] Operation: 46+27=73
Moving to Node #0,1,0
Current State: 81:[27, 51], Operations: ['92-65=27', '97-46=51']
Exploring Operation: 51-27=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 27+51=78, Resulting Numbers: [78]
78,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[97, 73], Operations: ['92-65=27', '46+27=73']
Exploring Operation: 97-73=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 97+73=170, Resulting Numbers: [170]
170,81 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
47,
96,
85,
78
] | 42 | [
"96-47=49",
"85-78=7",
"49-7=42"
] | Current State: 42:[47, 96, 85, 78], Operations: []
Exploring Operation: 96-47=49, Resulting Numbers: [85, 78, 49]
Generated Node #2: [85, 78, 49] from Operation: 96-47=49
Current State: 42:[85, 78, 49], Operations: ['96-47=49']
Exploring Operation: 85-78=7, Resulting Numbers: [49, 7]
Generated Node #3: [49, 7] from Operation: 85-78=7
Current State: 42:[49, 7], Operations: ['96-47=49', '85-78=7']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[47, 96, 85, 78], Operations: []
Exploring Operation: 96-85=11, Resulting Numbers: [47, 78, 11]
Generated Node #0,0: 42:[47, 78, 11] Operation: 96-85=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[47, 78, 11], Operations: ['96-85=11']
Exploring Operation: 78-47=31, Resulting Numbers: [11, 31]
Generated Node #0,0,0: 42:[11, 31] Operation: 78-47=31
Moving to Node #0,0,0
Current State: 42:[11, 31], Operations: ['96-85=11', '78-47=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[47, 96, 85, 78], Operations: []
Exploring Operation: 96-85=11, Resulting Numbers: [47, 78, 11]
Generated Node #0,0: 42:[47, 78, 11] Operation: 96-85=11
Moving to Node #0,0
Current State: 42:[47, 78, 11], Operations: ['96-85=11']
Exploring Operation: 78-47=31, Resulting Numbers: [11, 31]
Generated Node #0,0,0: 42:[11, 31] Operation: 78-47=31
Moving to Node #0,0,0
Current State: 42:[11, 31], Operations: ['96-85=11', '78-47=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
56,
3,
38,
25
] | 23 | [
"56+38=94",
"94-25=69",
"69/3=23"
] | Current State: 23:[56, 3, 38, 25], Operations: []
Exploring Operation: 56+38=94, Resulting Numbers: [3, 25, 94]
Generated Node #2: [3, 25, 94] from Operation: 56+38=94
Current State: 23:[3, 25, 94], Operations: ['56+38=94']
Exploring Operation: 94-25=69, Resulting Numbers: [3, 69]
Generated Node #3: [3, 69] from Operation: 94-25=69
Current State: 23:[3, 69], Operations: ['56+38=94', '94-25=69']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[56, 3, 38, 25], Operations: []
Exploring Operation: 56-3=53, Resulting Numbers: [38, 25, 53]
Generated Node #0,0: 23:[38, 25, 53] Operation: 56-3=53
Exploring Operation: 56-38=18, Resulting Numbers: [3, 25, 18]
Generated Node #0,1: 23:[3, 25, 18] Operation: 56-38=18
Exploring Operation: 56-25=31, Resulting Numbers: [3, 38, 31]
Generated Node #0,2: 23:[3, 38, 31] Operation: 56-25=31
Moving to Node #0,1
Current State: 23:[3, 25, 18], Operations: ['56-38=18']
Exploring Operation: 3+25=28, Resulting Numbers: [18, 28]
Generated Node #0,1,0: 23:[18, 28] Operation: 3+25=28
Exploring Operation: 3+18=21, Resulting Numbers: [25, 21]
Generated Node #0,1,1: 23:[25, 21] Operation: 3+18=21
Exploring Operation: 25-3=22, Resulting Numbers: [18, 22]
Generated Node #0,1,2: 23:[18, 22] Operation: 25-3=22
Moving to Node #0,2
Current State: 23:[3, 38, 31], Operations: ['56-25=31']
Exploring Operation: 31-3=28, Resulting Numbers: [38, 28]
Generated Node #0,2,0: 23:[38, 28] Operation: 31-3=28
Exploring Operation: 38-3=35, Resulting Numbers: [31, 35]
Generated Node #0,2,1: 23:[31, 35] Operation: 38-3=35
Exploring Operation: 3+38=41, Resulting Numbers: [31, 41]
Generated Node #0,2,2: 23:[31, 41] Operation: 3+38=41
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 23:[38, 28], Operations: ['56-25=31', '31-3=28']
Exploring Operation: 38*28=1064, Resulting Numbers: [1064]
1064,23 unequal: No Solution
Exploring Operation: 38+28=66, Resulting Numbers: [66]
66,23 unequal: No Solution
Exploring Operation: 38-28=10, Resulting Numbers: [10]
10,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 23:[31, 35], Operations: ['56-25=31', '38-3=35']
Exploring Operation: 31+35=66, Resulting Numbers: [66]
66,23 unequal: No Solution
Exploring Operation: 31*35=1085, Resulting Numbers: [1085]
1085,23 unequal: No Solution
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 23:[31, 41], Operations: ['56-25=31', '3+38=41']
Exploring Operation: 31+41=72, Resulting Numbers: [72]
72,23 unequal: No Solution
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 31*41=1271, Resulting Numbers: [1271]
1271,23 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: 23:[38, 25, 53], Operations: ['56-3=53']
Exploring Operation: 53-38=15, Resulting Numbers: [25, 15]
Generated Node #0,0,0: 23:[25, 15] Operation: 53-38=15
Exploring Operation: 53-25=28, Resulting Numbers: [38, 28]
Generated Node #0,0,1: 23:[38, 28] Operation: 53-25=28
Exploring Operation: 38-25=13, Resulting Numbers: [53, 13]
Generated Node #0,0,2: 23:[53, 13] Operation: 38-25=13
Moving to Node #0,1,1
Current State: 23:[25, 21], Operations: ['56-38=18', '3+18=21']
Exploring Operation: 25*21=525, Resulting Numbers: [525]
525,23 unequal: No Solution
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,23 unequal: No Solution
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[18, 22], Operations: ['56-38=18', '25-3=22']
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,23 unequal: No Solution
Exploring Operation: 18*22=396, Resulting Numbers: [396]
396,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[18, 28], Operations: ['56-38=18', '3+25=28']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,23 unequal: No Solution
Exploring Operation: 18*28=504, Resulting Numbers: [504]
504,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[25, 15], Operations: ['56-3=53', '53-38=15']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 25*15=375, Resulting Numbers: [375]
375,23 unequal: No Solution
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[38, 28], Operations: ['56-3=53', '53-25=28']
Exploring Operation: 38*28=1064, Resulting Numbers: [1064]
1064,23 unequal: No Solution
Exploring Operation: 38+28=66, Resulting Numbers: [66]
66,23 unequal: No Solution
Exploring Operation: 38-28=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[53, 13], Operations: ['56-3=53', '38-25=13']
Exploring Operation: 53*13=689, Resulting Numbers: [689]
689,23 unequal: No Solution
Exploring Operation: 53+13=66, Resulting Numbers: [66]
66,23 unequal: No Solution
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,23 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
83,
63,
68,
43
] | 91 | [
"83-63=20",
"68+43=111",
"111-20=91"
] | Current State: 91:[83, 63, 68, 43], Operations: []
Exploring Operation: 83-63=20, Resulting Numbers: [68, 43, 20]
Generated Node #2: [68, 43, 20] from Operation: 83-63=20
Current State: 91:[68, 43, 20], Operations: ['83-63=20']
Exploring Operation: 68+43=111, Resulting Numbers: [20, 111]
Generated Node #3: [20, 111] from Operation: 68+43=111
Current State: 91:[20, 111], Operations: ['83-63=20', '68+43=111']
Exploring Operation: 111-20=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[83, 63, 68, 43], Operations: []
Exploring Operation: 68-43=25, Resulting Numbers: [83, 63, 25]
Generated Node #0,0: 91:[83, 63, 25] Operation: 68-43=25
Exploring Operation: 68-63=5, Resulting Numbers: [83, 43, 5]
Generated Node #0,1: 91:[83, 43, 5] Operation: 68-63=5
Exploring Operation: 63+43=106, Resulting Numbers: [83, 68, 106]
Generated Node #0,2: 91:[83, 68, 106] Operation: 63+43=106
Exploring Operation: 63-43=20, Resulting Numbers: [83, 68, 20]
Generated Node #0,3: 91:[83, 68, 20] Operation: 63-43=20
Moving to Node #0,3
Current State: 91:[83, 68, 20], Operations: ['63-43=20']
Exploring Operation: 83-68=15, Resulting Numbers: [20, 15]
Generated Node #0,3,0: 91:[20, 15] Operation: 83-68=15
Exploring Operation: 68-20=48, Resulting Numbers: [83, 48]
Generated Node #0,3,1: 91:[83, 48] Operation: 68-20=48
Exploring Operation: 83+20=103, Resulting Numbers: [68, 103]
Generated Node #0,3,2: 91:[68, 103] Operation: 83+20=103
Exploring Operation: 68+20=88, Resulting Numbers: [83, 88]
Generated Node #0,3,3: 91:[83, 88] Operation: 68+20=88
Moving to Node #0,1
Current State: 91:[83, 43, 5], Operations: ['68-63=5']
Exploring Operation: 83+43=126, Resulting Numbers: [5, 126]
Generated Node #0,1,0: 91:[5, 126] Operation: 83+43=126
Exploring Operation: 43-5=38, Resulting Numbers: [83, 38]
Generated Node #0,1,1: 91:[83, 38] Operation: 43-5=38
Exploring Operation: 83-43=40, Resulting Numbers: [5, 40]
Generated Node #0,1,2: 91:[5, 40] Operation: 83-43=40
Exploring Operation: 83+5=88, Resulting Numbers: [43, 88]
Generated Node #0,1,3: 91:[43, 88] Operation: 83+5=88
Moving to Node #0,2
Current State: 91:[83, 68, 106], Operations: ['63+43=106']
Exploring Operation: 83-68=15, Resulting Numbers: [106, 15]
Generated Node #0,2,0: 91:[106, 15] Operation: 83-68=15
Exploring Operation: 106-83=23, Resulting Numbers: [68, 23]
Generated Node #0,2,1: 91:[68, 23] Operation: 106-83=23
Exploring Operation: 106-68=38, Resulting Numbers: [83, 38]
Generated Node #0,2,2: 91:[83, 38] Operation: 106-68=38
Exploring Operation: 83+68=151, Resulting Numbers: [106, 151]
Generated Node #0,2,3: 91:[106, 151] Operation: 83+68=151
Moving to Node #0,0
Current State: 91:[83, 63, 25], Operations: ['68-43=25']
Exploring Operation: 83+25=108, Resulting Numbers: [63, 108]
Generated Node #0,0,0: 91:[63, 108] Operation: 83+25=108
Exploring Operation: 63-25=38, Resulting Numbers: [83, 38]
Generated Node #0,0,1: 91:[83, 38] Operation: 63-25=38
Exploring Operation: 63+25=88, Resulting Numbers: [83, 88]
Generated Node #0,0,2: 91:[83, 88] Operation: 63+25=88
Exploring Operation: 83-63=20, Resulting Numbers: [25, 20]
Generated Node #0,0,3: 91:[25, 20] Operation: 83-63=20
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[83, 88], Operations: ['68-43=25', '63+25=88']
Exploring Operation: 83+88=171, Resulting Numbers: [171]
171,91 unequal: No Solution
Exploring Operation: 88-83=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 83*88=7304, Resulting Numbers: [7304]
7304,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 91:[25, 20], Operations: ['68-43=25', '83-63=20']
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,91 unequal: No Solution
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[83, 38], Operations: ['68-43=25', '63-25=38']
Exploring Operation: 83+38=121, Resulting Numbers: [121]
121,91 unequal: No Solution
Exploring Operation: 83-38=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Exploring Operation: 83*38=3154, Resulting Numbers: [3154]
3154,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[63, 108], Operations: ['68-43=25', '83+25=108']
Exploring Operation: 63*108=6804, Resulting Numbers: [6804]
6804,91 unequal: No Solution
Exploring Operation: 108-63=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Exploring Operation: 63+108=171, Resulting Numbers: [171]
171,91 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: 91:[20, 15], Operations: ['63-43=20', '83-68=15']
Exploring Operation: 20*15=300, Resulting Numbers: [300]
300,91 unequal: No Solution
Exploring Operation: 20+15=35, Resulting Numbers: [35]
35,91 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Moving to Node #0,3,3
Current State: 91:[83, 88], Operations: ['63-43=20', '68+20=88']
Exploring Operation: 83*88=7304, Resulting Numbers: [7304]
7304,91 unequal: No Solution
Exploring Operation: 88-83=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 83+88=171, Resulting Numbers: [171]
171,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[106, 15], Operations: ['63+43=106', '83-68=15']
Exploring Operation: 106*15=1590, Resulting Numbers: [1590]
1590,91 unequal: No Solution
Exploring Operation: 106+15=121, Resulting Numbers: [121]
121,91 unequal: No Solution
Exploring Operation: 106-15=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[83, 63, 68, 43], Operations: []
Exploring Operation: 63+43=106, Resulting Numbers: [83, 68, 106]
Generated Node #0,2: 91:[83, 68, 106] Operation: 63+43=106
Moving to Node #0,2
Current State: 91:[83, 68, 106], Operations: ['63+43=106']
Exploring Operation: 83-68=15, Resulting Numbers: [106, 15]
Generated Node #0,2,0: 91:[106, 15] Operation: 83-68=15
Moving to Node #0,2,0
Current State: 91:[106, 15], Operations: ['63+43=106', '83-68=15']
Exploring Operation: 106-15=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.960938 | hs_4 | mult_heuristic |
[
11,
4,
64,
76
] | 34 | [
"64-11=53",
"76/4=19",
"53-19=34"
] | Current State: 34:[11, 4, 64, 76], Operations: []
Exploring Operation: 64-11=53, Resulting Numbers: [4, 76, 53]
Generated Node #2: [4, 76, 53] from Operation: 64-11=53
Current State: 34:[4, 76, 53], Operations: ['64-11=53']
Exploring Operation: 76/4=19, Resulting Numbers: [53, 19]
Generated Node #3: [53, 19] from Operation: 76/4=19
Current State: 34:[53, 19], Operations: ['64-11=53', '76/4=19']
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[11, 4, 64, 76], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [11, 76, 16]
Generated Node #0,0: 34:[11, 76, 16] Operation: 64/4=16
Exploring Operation: 64-11=53, Resulting Numbers: [4, 76, 53]
Generated Node #0,1: 34:[4, 76, 53] Operation: 64-11=53
Exploring Operation: 76-64=12, Resulting Numbers: [11, 4, 12]
Generated Node #0,2: 34:[11, 4, 12] Operation: 76-64=12
Exploring Operation: 76/4=19, Resulting Numbers: [11, 64, 19]
Generated Node #0,3: 34:[11, 64, 19] Operation: 76/4=19
Start Sub Search at level 1: Moving to Node #0,2
Current State: 34:[11, 4, 12], Operations: ['76-64=12']
Exploring Operation: 12/4=3, Resulting Numbers: [11, 3]
Generated Node #0,2,0: 34:[11, 3] Operation: 12/4=3
Exploring Operation: 11+4=15, Resulting Numbers: [12, 15]
Generated Node #0,2,1: 34:[12, 15] Operation: 11+4=15
Exploring Operation: 12-11=1, Resulting Numbers: [4, 1]
Generated Node #0,2,2: 34:[4, 1] Operation: 12-11=1
Exploring Operation: 4+12=16, Resulting Numbers: [11, 16]
Generated Node #0,2,3: 34:[11, 16] Operation: 4+12=16
Moving to Node #0,2,2
Current State: 34:[4, 1], Operations: ['76-64=12', '12-11=1']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[12, 15], Operations: ['76-64=12', '11+4=15']
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 12*15=180, Resulting Numbers: [180]
180,34 unequal: No Solution
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,34 unequal: No Solution
Moving to Node #0,2,0
Current State: 34:[11, 3], Operations: ['76-64=12', '12/4=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,34 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,34 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,34 unequal: No Solution
Moving to Node #0,2,3
Current State: 34:[11, 16], Operations: ['76-64=12', '4+12=16']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 11*16=176, Resulting Numbers: [176]
176,34 unequal: No Solution
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,34 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 #0,3
Current State: 34:[11, 64, 19], Operations: ['76/4=19']
Exploring Operation: 64-11=53, Resulting Numbers: [19, 53]
Generated Node #0,3,0: 34:[19, 53] Operation: 64-11=53
Exploring Operation: 19-11=8, Resulting Numbers: [64, 8]
Generated Node #0,3,1: 34:[64, 8] Operation: 19-11=8
Exploring Operation: 11+19=30, Resulting Numbers: [64, 30]
Generated Node #0,3,2: 34:[64, 30] Operation: 11+19=30
Exploring Operation: 64-19=45, Resulting Numbers: [11, 45]
Generated Node #0,3,3: 34:[11, 45] Operation: 64-19=45
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 34:[11, 45], Operations: ['76/4=19', '64-19=45']
Exploring Operation: 11+45=56, Resulting Numbers: [56]
56,34 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[11, 4, 64, 76], Operations: []
Exploring Operation: 76/4=19, Resulting Numbers: [11, 64, 19]
Generated Node #0,3: 34:[11, 64, 19] Operation: 76/4=19
Moving to Node #0,3
Current State: 34:[11, 64, 19], Operations: ['76/4=19']
Exploring Operation: 64-19=45, Resulting Numbers: [11, 45]
Generated Node #0,3,3: 34:[11, 45] Operation: 64-19=45
Moving to Node #0,3,3
Current State: 34:[11, 45], Operations: ['76/4=19', '64-19=45']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_4 | mult_heuristic |
[
97,
62,
14,
3
] | 81 | [
"62-14=48",
"48/3=16",
"97-16=81"
] | Current State: 81:[97, 62, 14, 3], Operations: []
Exploring Operation: 62-14=48, Resulting Numbers: [97, 3, 48]
Generated Node #2: [97, 3, 48] from Operation: 62-14=48
Current State: 81:[97, 3, 48], Operations: ['62-14=48']
Exploring Operation: 48/3=16, Resulting Numbers: [97, 16]
Generated Node #3: [97, 16] from Operation: 48/3=16
Current State: 81:[97, 16], Operations: ['62-14=48', '48/3=16']
Exploring Operation: 97-16=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[97, 62, 14, 3], Operations: []
Exploring Operation: 97-14=83, Resulting Numbers: [62, 3, 83]
Generated Node #0,0: 81:[62, 3, 83] Operation: 97-14=83
Exploring Operation: 97-62=35, Resulting Numbers: [14, 3, 35]
Generated Node #0,1: 81:[14, 3, 35] Operation: 97-62=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[14, 3, 35], Operations: ['97-62=35']
Exploring Operation: 35-14=21, Resulting Numbers: [3, 21]
Generated Node #0,1,0: 81:[3, 21] Operation: 35-14=21
Exploring Operation: 14-3=11, Resulting Numbers: [35, 11]
Generated Node #0,1,1: 81:[35, 11] Operation: 14-3=11
Moving to Node #0,1,0
Current State: 81:[3, 21], Operations: ['97-62=35', '35-14=21']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[35, 11], Operations: ['97-62=35', '14-3=11']
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[62, 3, 83], Operations: ['97-14=83']
Exploring Operation: 83-62=21, Resulting Numbers: [3, 21]
Generated Node #0,0,0: 81:[3, 21] Operation: 83-62=21
Exploring Operation: 62+3=65, Resulting Numbers: [83, 65]
Generated Node #0,0,1: 81:[83, 65] Operation: 62+3=65
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[3, 21], Operations: ['97-14=83', '83-62=21']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[83, 65], Operations: ['97-14=83', '62+3=65']
Exploring Operation: 83-65=18, Resulting Numbers: [18]
18,81 unequal: No Solution
Exploring Operation: 83+65=148, Resulting Numbers: [148]
148,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
39,
73,
28,
42
] | 51 | [
"73-39=34",
"42*34=1428",
"1428/28=51"
] | Current State: 51:[39, 73, 28, 42], Operations: []
Exploring Operation: 73-39=34, Resulting Numbers: [28, 42, 34]
Generated Node #2: [28, 42, 34] from Operation: 73-39=34
Current State: 51:[28, 42, 34], Operations: ['73-39=34']
Exploring Operation: 42*34=1428, Resulting Numbers: [28, 1428]
Generated Node #3: [28, 1428] from Operation: 42*34=1428
Current State: 51:[28, 1428], Operations: ['73-39=34', '42*34=1428']
Exploring Operation: 1428/28=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[39, 73, 28, 42], Operations: []
Exploring Operation: 42-39=3, Resulting Numbers: [73, 28, 3]
Generated Node #0,0: 51:[73, 28, 3] Operation: 42-39=3
Exploring Operation: 73-39=34, Resulting Numbers: [28, 42, 34]
Generated Node #0,1: 51:[28, 42, 34] Operation: 73-39=34
Exploring Operation: 73-28=45, Resulting Numbers: [39, 42, 45]
Generated Node #0,2: 51:[39, 42, 45] Operation: 73-28=45
Exploring Operation: 73-42=31, Resulting Numbers: [39, 28, 31]
Generated Node #0,3: 51:[39, 28, 31] Operation: 73-42=31
Exploring Operation: 39-28=11, Resulting Numbers: [73, 42, 11]
Generated Node #0,4: 51:[73, 42, 11] Operation: 39-28=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[39, 42, 45], Operations: ['73-28=45']
Exploring Operation: 39+42=81, Resulting Numbers: [45, 81]
Generated Node #0,2,0: 51:[45, 81] Operation: 39+42=81
Exploring Operation: 39+45=84, Resulting Numbers: [42, 84]
Generated Node #0,2,1: 51:[42, 84] Operation: 39+45=84
Exploring Operation: 45-39=6, Resulting Numbers: [42, 6]
Generated Node #0,2,2: 51:[42, 6] Operation: 45-39=6
Exploring Operation: 42-39=3, Resulting Numbers: [45, 3]
Generated Node #0,2,3: 51:[45, 3] Operation: 42-39=3
Exploring Operation: 45-42=3, Resulting Numbers: [39, 3]
Generated Node #0,2,4: 51:[39, 3] Operation: 45-42=3
Moving to Node #0,2,3
Current State: 51:[45, 3], Operations: ['73-28=45', '42-39=3']
Exploring Operation: 45*3=135, Resulting Numbers: [135]
135,51 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Moving to Node #0,2,4
Current State: 51:[39, 3], Operations: ['73-28=45', '45-42=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,51 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[42, 6], Operations: ['73-28=45', '45-39=6']
Exploring Operation: 42*6=252, Resulting Numbers: [252]
252,51 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[45, 81], Operations: ['73-28=45', '39+42=81']
Exploring Operation: 81-45=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 45+81=126, Resulting Numbers: [126]
126,51 unequal: No Solution
Exploring Operation: 45*81=3645, Resulting Numbers: [3645]
3645,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[42, 84], Operations: ['73-28=45', '39+45=84']
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 42*84=3528, Resulting Numbers: [3528]
3528,51 unequal: No Solution
Exploring Operation: 84/42=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 42+84=126, Resulting Numbers: [126]
126,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[73, 28, 3], Operations: ['42-39=3']
Exploring Operation: 73-3=70, Resulting Numbers: [28, 70]
Generated Node #0,0,0: 51:[28, 70] Operation: 73-3=70
Exploring Operation: 28+3=31, Resulting Numbers: [73, 31]
Generated Node #0,0,1: 51:[73, 31] Operation: 28+3=31
Exploring Operation: 28-3=25, Resulting Numbers: [73, 25]
Generated Node #0,0,2: 51:[73, 25] Operation: 28-3=25
Exploring Operation: 73-28=45, Resulting Numbers: [3, 45]
Generated Node #0,0,3: 51:[3, 45] Operation: 73-28=45
Exploring Operation: 73+3=76, Resulting Numbers: [28, 76]
Generated Node #0,0,4: 51:[28, 76] Operation: 73+3=76
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 51:[3, 45], Operations: ['42-39=3', '73-28=45']
Exploring Operation: 3*45=135, Resulting Numbers: [135]
135,51 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 3+45=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[28, 70], Operations: ['42-39=3', '73-3=70']
Exploring Operation: 28*70=1960, Resulting Numbers: [1960]
1960,51 unequal: No Solution
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 28+70=98, Resulting Numbers: [98]
98,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 51:[73, 25], Operations: ['42-39=3', '28-3=25']
Exploring Operation: 73+25=98, Resulting Numbers: [98]
98,51 unequal: No Solution
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 73*25=1825, Resulting Numbers: [1825]
1825,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[73, 31], Operations: ['42-39=3', '28+3=31']
Exploring Operation: 73+31=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 73-31=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 73*31=2263, Resulting Numbers: [2263]
2263,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 51:[28, 76], Operations: ['42-39=3', '73+3=76']
Exploring Operation: 28*76=2128, Resulting Numbers: [2128]
2128,51 unequal: No Solution
Exploring Operation: 28+76=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[28, 42, 34], Operations: ['73-39=34']
Exploring Operation: 42-34=8, Resulting Numbers: [28, 8]
Generated Node #0,1,0: 51:[28, 8] Operation: 42-34=8
Exploring Operation: 28+34=62, Resulting Numbers: [42, 62]
Generated Node #0,1,1: 51:[42, 62] Operation: 28+34=62
Exploring Operation: 28+42=70, Resulting Numbers: [34, 70]
Generated Node #0,1,2: 51:[34, 70] Operation: 28+42=70
Exploring Operation: 34-28=6, Resulting Numbers: [42, 6]
Generated Node #0,1,3: 51:[42, 6] Operation: 34-28=6
Exploring Operation: 42-28=14, Resulting Numbers: [34, 14]
Generated Node #0,1,4: 51:[34, 14] Operation: 42-28=14
Moving to Node #0,1,3
Current State: 51:[42, 6], Operations: ['73-39=34', '34-28=6']
Exploring Operation: 42*6=252, Resulting Numbers: [252]
252,51 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[28, 8], Operations: ['73-39=34', '42-34=8']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,51 unequal: No Solution
Exploring Operation: 28+8=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 28*8=224, Resulting Numbers: [224]
224,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[42, 62], Operations: ['73-39=34', '28+34=62']
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,51 unequal: No Solution
Exploring Operation: 42+62=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 42*62=2604, Resulting Numbers: [2604]
2604,51 unequal: No Solution
Moving to Node #0,1,4
Current State: 51:[34, 14], Operations: ['73-39=34', '42-28=14']
Exploring Operation: 34*14=476, Resulting Numbers: [476]
476,51 unequal: No Solution
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[34, 70], Operations: ['73-39=34', '28+42=70']
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 34+70=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 34*70=2380, Resulting Numbers: [2380]
2380,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[39, 28, 31], Operations: ['73-42=31']
Exploring Operation: 39+28=67, Resulting Numbers: [31, 67]
Generated Node #0,3,0: 51:[31, 67] Operation: 39+28=67
Exploring Operation: 28+31=59, Resulting Numbers: [39, 59]
Generated Node #0,3,1: 51:[39, 59] Operation: 28+31=59
Exploring Operation: 39-28=11, Resulting Numbers: [31, 11]
Generated Node #0,3,2: 51:[31, 11] Operation: 39-28=11
Exploring Operation: 39-31=8, Resulting Numbers: [28, 8]
Generated Node #0,3,3: 51:[28, 8] Operation: 39-31=8
Exploring Operation: 31-28=3, Resulting Numbers: [39, 3]
Generated Node #0,3,4: 51:[39, 3] Operation: 31-28=3
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 51:[39, 3], Operations: ['73-42=31', '31-28=3']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,51 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 51:[28, 8], Operations: ['73-42=31', '39-31=8']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,51 unequal: No Solution
Exploring Operation: 28+8=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 28*8=224, Resulting Numbers: [224]
224,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 51:[39, 59], Operations: ['73-42=31', '28+31=59']
Exploring Operation: 39*59=2301, Resulting Numbers: [2301]
2301,51 unequal: No Solution
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,51 unequal: No Solution
Exploring Operation: 39+59=98, Resulting Numbers: [98]
98,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 51:[31, 11], Operations: ['73-42=31', '39-28=11']
Exploring Operation: 31+11=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,51 unequal: No Solution
Exploring Operation: 31*11=341, Resulting Numbers: [341]
341,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 51:[31, 67], Operations: ['73-42=31', '39+28=67']
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,51 unequal: No Solution
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 31*67=2077, Resulting Numbers: [2077]
2077,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 51:[73, 42, 11], Operations: ['39-28=11']
Exploring Operation: 73-11=62, Resulting Numbers: [42, 62]
Generated Node #0,4,0: 51:[42, 62] Operation: 73-11=62
Exploring Operation: 42+11=53, Resulting Numbers: [73, 53]
Generated Node #0,4,1: 51:[73, 53] Operation: 42+11=53
Exploring Operation: 42-11=31, Resulting Numbers: [73, 31]
Generated Node #0,4,2: 51:[73, 31] Operation: 42-11=31
Exploring Operation: 73+11=84, Resulting Numbers: [42, 84]
Generated Node #0,4,3: 51:[42, 84] Operation: 73+11=84
Exploring Operation: 73-42=31, Resulting Numbers: [11, 31]
Generated Node #0,4,4: 51:[11, 31] Operation: 73-42=31
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 51:[42, 62], Operations: ['39-28=11', '73-11=62']
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,51 unequal: No Solution
Exploring Operation: 42+62=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 42*62=2604, Resulting Numbers: [2604]
2604,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 51:[11, 31], Operations: ['39-28=11', '73-42=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 11*31=341, Resulting Numbers: [341]
341,51 unequal: No Solution
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 51:[73, 53], Operations: ['39-28=11', '42+11=53']
Exploring Operation: 73-53=20, Resulting Numbers: [20]
20,51 unequal: No Solution
Exploring Operation: 73+53=126, Resulting Numbers: [126]
126,51 unequal: No Solution
Exploring Operation: 73*53=3869, Resulting Numbers: [3869]
3869,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 51:[73, 31], Operations: ['39-28=11', '42-11=31']
Exploring Operation: 73-31=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 73*31=2263, Resulting Numbers: [2263]
2263,51 unequal: No Solution
Exploring Operation: 73+31=104, Resulting Numbers: [104]
104,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 51:[42, 84], Operations: ['39-28=11', '73+11=84']
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 42*84=3528, Resulting Numbers: [3528]
3528,51 unequal: No Solution
Exploring Operation: 42+84=126, Resulting Numbers: [126]
126,51 unequal: No Solution
Exploring Operation: 84/42=2, Resulting Numbers: [2]
2,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
83,
38,
46,
14
] | 15 | [
"83-38=45",
"46+14=60",
"60-45=15"
] | Current State: 15:[83, 38, 46, 14], Operations: []
Exploring Operation: 83-38=45, Resulting Numbers: [46, 14, 45]
Generated Node #2: [46, 14, 45] from Operation: 83-38=45
Current State: 15:[46, 14, 45], Operations: ['83-38=45']
Exploring Operation: 46+14=60, Resulting Numbers: [45, 60]
Generated Node #3: [45, 60] from Operation: 46+14=60
Current State: 15:[45, 60], Operations: ['83-38=45', '46+14=60']
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[83, 38, 46, 14], Operations: []
Exploring Operation: 83-38=45, Resulting Numbers: [46, 14, 45]
Generated Node #0,0: 15:[46, 14, 45] Operation: 83-38=45
Exploring Operation: 83-46=37, Resulting Numbers: [38, 14, 37]
Generated Node #0,1: 15:[38, 14, 37] Operation: 83-46=37
Exploring Operation: 46-38=8, Resulting Numbers: [83, 14, 8]
Generated Node #0,2: 15:[83, 14, 8] Operation: 46-38=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[38, 14, 37], Operations: ['83-46=37']
Exploring Operation: 38-37=1, Resulting Numbers: [14, 1]
Generated Node #0,1,0: 15:[14, 1] Operation: 38-37=1
Exploring Operation: 37-14=23, Resulting Numbers: [38, 23]
Generated Node #0,1,1: 15:[38, 23] Operation: 37-14=23
Exploring Operation: 38-14=24, Resulting Numbers: [37, 24]
Generated Node #0,1,2: 15:[37, 24] Operation: 38-14=24
Moving to Node #0,1,0
Current State: 15:[14, 1], Operations: ['83-46=37', '38-37=1']
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[83, 38, 46, 14], Operations: []
Exploring Operation: 83-46=37, Resulting Numbers: [38, 14, 37]
Generated Node #0,1: 15:[38, 14, 37] Operation: 83-46=37
Moving to Node #0,1
Current State: 15:[38, 14, 37], Operations: ['83-46=37']
Exploring Operation: 38-37=1, Resulting Numbers: [14, 1]
Generated Node #0,1,0: 15:[14, 1] Operation: 38-37=1
Moving to Node #0,1,0
Current State: 15:[14, 1], Operations: ['83-46=37', '38-37=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
42,
21,
79,
76
] | 49 | [
"79-76=3",
"21/3=7",
"42+7=49"
] | Current State: 49:[42, 21, 79, 76], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [42, 21, 3]
Generated Node #2: [42, 21, 3] from Operation: 79-76=3
Current State: 49:[42, 21, 3], Operations: ['79-76=3']
Exploring Operation: 21/3=7, Resulting Numbers: [42, 7]
Generated Node #3: [42, 7] from Operation: 21/3=7
Current State: 49:[42, 7], Operations: ['79-76=3', '21/3=7']
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[42, 21, 79, 76], Operations: []
Exploring Operation: 76-42=34, Resulting Numbers: [21, 79, 34]
Generated Node #0,0: 49:[21, 79, 34] Operation: 76-42=34
Exploring Operation: 76-21=55, Resulting Numbers: [42, 79, 55]
Generated Node #0,1: 49:[42, 79, 55] Operation: 76-21=55
Exploring Operation: 79-42=37, Resulting Numbers: [21, 76, 37]
Generated Node #0,2: 49:[21, 76, 37] Operation: 79-42=37
Exploring Operation: 79-76=3, Resulting Numbers: [42, 21, 3]
Generated Node #0,3: 49:[42, 21, 3] Operation: 79-76=3
Exploring Operation: 79-21=58, Resulting Numbers: [42, 76, 58]
Generated Node #0,4: 49:[42, 76, 58] Operation: 79-21=58
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[42, 21, 3], Operations: ['79-76=3']
Exploring Operation: 42+3=45, Resulting Numbers: [21, 45]
Generated Node #0,3,0: 49:[21, 45] Operation: 42+3=45
Exploring Operation: 21/3=7, Resulting Numbers: [42, 7]
Generated Node #0,3,1: 49:[42, 7] Operation: 21/3=7
Exploring Operation: 42/21=2, Resulting Numbers: [3, 2]
Generated Node #0,3,2: 49:[3, 2] Operation: 42/21=2
Exploring Operation: 42+21=63, Resulting Numbers: [3, 63]
Generated Node #0,3,3: 49:[3, 63] Operation: 42+21=63
Exploring Operation: 42-21=21, Resulting Numbers: [3, 21]
Generated Node #0,3,4: 49:[3, 21] Operation: 42-21=21
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 49:[42, 7], Operations: ['79-76=3', '21/3=7']
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,49 unequal: No Solution
Exploring Operation: 42*7=294, Resulting Numbers: [294]
294,49 unequal: No Solution
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[42, 21, 79, 76], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [42, 21, 3]
Generated Node #0,3: 49:[42, 21, 3] Operation: 79-76=3
Moving to Node #0,3
Current State: 49:[42, 21, 3], Operations: ['79-76=3']
Exploring Operation: 21/3=7, Resulting Numbers: [42, 7]
Generated Node #0,3,1: 49:[42, 7] Operation: 21/3=7
Moving to Node #0,3,1
Current State: 49:[42, 7], Operations: ['79-76=3', '21/3=7']
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
43,
15,
30,
17
] | 26 | [
"43-30=13",
"17-15=2",
"13*2=26"
] | Current State: 26:[43, 15, 30, 17], Operations: []
Exploring Operation: 43-30=13, Resulting Numbers: [15, 17, 13]
Generated Node #2: [15, 17, 13] from Operation: 43-30=13
Current State: 26:[15, 17, 13], Operations: ['43-30=13']
Exploring Operation: 17-15=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 17-15=2
Current State: 26:[13, 2], Operations: ['43-30=13', '17-15=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[43, 15, 30, 17], Operations: []
Exploring Operation: 30-17=13, Resulting Numbers: [43, 15, 13]
Generated Node #0,0: 26:[43, 15, 13] Operation: 30-17=13
Exploring Operation: 43-30=13, Resulting Numbers: [15, 17, 13]
Generated Node #0,1: 26:[15, 17, 13] Operation: 43-30=13
Exploring Operation: 43-15=28, Resulting Numbers: [30, 17, 28]
Generated Node #0,2: 26:[30, 17, 28] Operation: 43-15=28
Exploring Operation: 43-17=26, Resulting Numbers: [15, 30, 26]
Generated Node #0,3: 26:[15, 30, 26] Operation: 43-17=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[15, 17, 13], Operations: ['43-30=13']
Exploring Operation: 15-13=2, Resulting Numbers: [17, 2]
Generated Node #0,1,0: 26:[17, 2] Operation: 15-13=2
Exploring Operation: 17-15=2, Resulting Numbers: [13, 2]
Generated Node #0,1,1: 26:[13, 2] Operation: 17-15=2
Exploring Operation: 17-13=4, Resulting Numbers: [15, 4]
Generated Node #0,1,2: 26:[15, 4] Operation: 17-13=4
Exploring Operation: 15+17=32, Resulting Numbers: [13, 32]
Generated Node #0,1,3: 26:[13, 32] Operation: 15+17=32
Moving to Node #0,1,1
Current State: 26:[13, 2], Operations: ['43-30=13', '17-15=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[43, 15, 30, 17], Operations: []
Exploring Operation: 43-30=13, Resulting Numbers: [15, 17, 13]
Generated Node #0,1: 26:[15, 17, 13] Operation: 43-30=13
Moving to Node #0,1
Current State: 26:[15, 17, 13], Operations: ['43-30=13']
Exploring Operation: 17-15=2, Resulting Numbers: [13, 2]
Generated Node #0,1,1: 26:[13, 2] Operation: 17-15=2
Moving to Node #0,1,1
Current State: 26:[13, 2], Operations: ['43-30=13', '17-15=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
35,
14,
29,
54
] | 24 | [
"35+14=49",
"54-29=25",
"49-25=24"
] | Current State: 24:[35, 14, 29, 54], Operations: []
Exploring Operation: 35+14=49, Resulting Numbers: [29, 54, 49]
Generated Node #2: [29, 54, 49] from Operation: 35+14=49
Current State: 24:[29, 54, 49], Operations: ['35+14=49']
Exploring Operation: 54-29=25, Resulting Numbers: [49, 25]
Generated Node #3: [49, 25] from Operation: 54-29=25
Current State: 24:[49, 25], Operations: ['35+14=49', '54-29=25']
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[35, 14, 29, 54], Operations: []
Exploring Operation: 54-35=19, Resulting Numbers: [14, 29, 19]
Generated Node #0,0: 24:[14, 29, 19] Operation: 54-35=19
Exploring Operation: 35-29=6, Resulting Numbers: [14, 54, 6]
Generated Node #0,1: 24:[14, 54, 6] Operation: 35-29=6
Exploring Operation: 54-29=25, Resulting Numbers: [35, 14, 25]
Generated Node #0,2: 24:[35, 14, 25] Operation: 54-29=25
Exploring Operation: 54-14=40, Resulting Numbers: [35, 29, 40]
Generated Node #0,3: 24:[35, 29, 40] Operation: 54-14=40
Moving to Node #0,0
Current State: 24:[14, 29, 19], Operations: ['54-35=19']
Exploring Operation: 14+19=33, Resulting Numbers: [29, 33]
Generated Node #0,0,0: 24:[29, 33] Operation: 14+19=33
Exploring Operation: 29-14=15, Resulting Numbers: [19, 15]
Generated Node #0,0,1: 24:[19, 15] Operation: 29-14=15
Exploring Operation: 29-19=10, Resulting Numbers: [14, 10]
Generated Node #0,0,2: 24:[14, 10] Operation: 29-19=10
Exploring Operation: 19-14=5, Resulting Numbers: [29, 5]
Generated Node #0,0,3: 24:[29, 5] Operation: 19-14=5
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 24:[14, 10], Operations: ['54-35=19', '29-19=10']
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[35, 14, 29, 54], Operations: []
Exploring Operation: 54-35=19, Resulting Numbers: [14, 29, 19]
Generated Node #0,0: 24:[14, 29, 19] Operation: 54-35=19
Moving to Node #0,0
Current State: 24:[14, 29, 19], Operations: ['54-35=19']
Exploring Operation: 29-19=10, Resulting Numbers: [14, 10]
Generated Node #0,0,2: 24:[14, 10] Operation: 29-19=10
Moving to Node #0,0,2
Current State: 24:[14, 10], Operations: ['54-35=19', '29-19=10']
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
49,
41,
8,
3
] | 16 | [
"49-41=8",
"8*3=24",
"24-8=16"
] | Current State: 16:[49, 41, 8, 3], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [8, 3, 8]
Generated Node #2: [8, 3, 8] from Operation: 49-41=8
Current State: 16:[8, 3, 8], Operations: ['49-41=8']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,16 equal: Goal Reached
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[49, 41, 8, 3], Operations: []
Exploring Operation: 49-3=46, Resulting Numbers: [41, 8, 46]
Generated Node #0,0: 16:[41, 8, 46] Operation: 49-3=46
Exploring Operation: 41-8=33, Resulting Numbers: [49, 3, 33]
Generated Node #0,1: 16:[49, 3, 33] Operation: 41-8=33
Exploring Operation: 49-41=8, Resulting Numbers: [8, 3, 8]
Generated Node #0,2: 16:[8, 3, 8] Operation: 49-41=8
Exploring Operation: 41-3=38, Resulting Numbers: [49, 8, 38]
Generated Node #0,3: 16:[49, 8, 38] Operation: 41-3=38
Exploring Operation: 49-8=41, Resulting Numbers: [41, 3, 41]
Generated Node #0,4: 16:[41, 3, 41] Operation: 49-8=41
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[8, 3, 8], Operations: ['49-41=8']
Exploring Operation: 8/8=1, Resulting Numbers: [3, 1]
Generated Node #0,2,0: 16:[3, 1] Operation: 8/8=1
Exploring Operation: 8+8=16, Resulting Numbers: [3, 16]
Generated Node #0,2,1: 16:[3, 16] Operation: 8+8=16
Exploring Operation: 8-3=5, Resulting Numbers: [8, 5]
Generated Node #0,2,2: 16:[8, 5] Operation: 8-3=5
Exploring Operation: 8-3=5, Resulting Numbers: [8, 5]
Generated Node #0,2,3: 16:[8, 5] Operation: 8-3=5
Exploring Operation: 8+3=11, Resulting Numbers: [8, 11]
Generated Node #0,2,4: 16:[8, 11] Operation: 8+3=11
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 16:[3, 16], Operations: ['49-41=8', '8+8=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,16 unequal: No Solution
No 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: 16:[8, 5], Operations: ['49-41=8', '8-3=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,16 unequal: No Solution
No 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: 16:[8, 5], Operations: ['49-41=8', '8-3=5']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,16 unequal: No Solution
No 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: 16:[3, 1], Operations: ['49-41=8', '8/8=1']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,16 unequal: No Solution
No 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: 16:[8, 11], Operations: ['49-41=8', '8+3=11']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,16 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,16 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: 16:[49, 3, 33], Operations: ['41-8=33']
Exploring Operation: 49+3=52, Resulting Numbers: [33, 52]
Generated Node #0,1,0: 16:[33, 52] Operation: 49+3=52
Exploring Operation: 49-33=16, Resulting Numbers: [3, 16]
Generated Node #0,1,1: 16:[3, 16] Operation: 49-33=16
Exploring Operation: 33-3=30, Resulting Numbers: [49, 30]
Generated Node #0,1,2: 16:[49, 30] Operation: 33-3=30
Exploring Operation: 33/3=11, Resulting Numbers: [49, 11]
Generated Node #0,1,3: 16:[49, 11] Operation: 33/3=11
Exploring Operation: 49-3=46, Resulting Numbers: [33, 46]
Generated Node #0,1,4: 16:[33, 46] Operation: 49-3=46
Moving to Node #0,1,1
Current State: 16:[3, 16], Operations: ['41-8=33', '49-33=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[49, 11], Operations: ['41-8=33', '33/3=11']
Exploring Operation: 49*11=539, Resulting Numbers: [539]
539,16 unequal: No Solution
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[49, 30], Operations: ['41-8=33', '33-3=30']
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 49+30=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Exploring Operation: 49*30=1470, Resulting Numbers: [1470]
1470,16 unequal: No Solution
Moving to Node #0,1,4
Current State: 16:[33, 46], Operations: ['41-8=33', '49-3=46']
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 33*46=1518, Resulting Numbers: [1518]
1518,16 unequal: No Solution
Exploring Operation: 33+46=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[33, 52], Operations: ['41-8=33', '49+3=52']
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 33*52=1716, Resulting Numbers: [1716]
1716,16 unequal: No Solution
Exploring Operation: 33+52=85, Resulting Numbers: [85]
85,16 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 #0,4
Current State: 16:[41, 3, 41], Operations: ['49-8=41']
Exploring Operation: 41/41=1, Resulting Numbers: [3, 1]
Generated Node #0,4,0: 16:[3, 1] Operation: 41/41=1
Exploring Operation: 41+3=44, Resulting Numbers: [41, 44]
Generated Node #0,4,1: 16:[41, 44] Operation: 41+3=44
Exploring Operation: 41-3=38, Resulting Numbers: [41, 38]
Generated Node #0,4,2: 16:[41, 38] Operation: 41-3=38
Exploring Operation: 41-41=0, Resulting Numbers: [3, 0]
Generated Node #0,4,3: 16:[3, 0] Operation: 41-41=0
Exploring Operation: 41-3=38, Resulting Numbers: [41, 38]
Generated Node #0,4,4: 16:[41, 38] Operation: 41-3=38
Moving to Node #0,4,0
Current State: 16:[3, 1], Operations: ['49-8=41', '41/41=1']
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Moving to Node #0,4,3
Current State: 16:[3, 0], Operations: ['49-8=41', '41-41=0']
Exploring Operation: 3*0=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Moving to Node #0,4,2
Current State: 16:[41, 38], Operations: ['49-8=41', '41-3=38']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 41*38=1558, Resulting Numbers: [1558]
1558,16 unequal: No Solution
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Moving to Node #0,4,4
Current State: 16:[41, 38], Operations: ['49-8=41', '41-3=38']
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 41*38=1558, Resulting Numbers: [1558]
1558,16 unequal: No Solution
Moving to Node #0,4,1
Current State: 16:[41, 44], Operations: ['49-8=41', '41+3=44']
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,16 unequal: No Solution
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,16 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,16 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
Current State: 16:[41, 8, 46], Operations: ['49-3=46']
Exploring Operation: 46-41=5, Resulting Numbers: [8, 5]
Generated Node #0,0,0: 16:[8, 5] Operation: 46-41=5
Exploring Operation: 41-8=33, Resulting Numbers: [46, 33]
Generated Node #0,0,1: 16:[46, 33] Operation: 41-8=33
Exploring Operation: 46-8=38, Resulting Numbers: [41, 38]
Generated Node #0,0,2: 16:[41, 38] Operation: 46-8=38
Exploring Operation: 41+8=49, Resulting Numbers: [46, 49]
Generated Node #0,0,3: 16:[46, 49] Operation: 41+8=49
Exploring Operation: 8+46=54, Resulting Numbers: [41, 54]
Generated Node #0,0,4: 16:[41, 54] Operation: 8+46=54
Moving to Node #0,0,0
Current State: 16:[8, 5], Operations: ['49-3=46', '46-41=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,16 unequal: No Solution
Moving to Node #0,0,2
Current State: 16:[41, 38], Operations: ['49-3=46', '46-8=38']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Exploring Operation: 41*38=1558, Resulting Numbers: [1558]
1558,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[46, 33], Operations: ['49-3=46', '41-8=33']
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 46*33=1518, Resulting Numbers: [1518]
1518,16 unequal: No Solution
Moving to Node #0,0,3
Current State: 16:[46, 49], Operations: ['49-3=46', '41+8=49']
Exploring Operation: 46+49=95, Resulting Numbers: [95]
95,16 unequal: No Solution
Exploring Operation: 46*49=2254, Resulting Numbers: [2254]
2254,16 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Moving to Node #0,0,4
Current State: 16:[41, 54], Operations: ['49-3=46', '8+46=54']
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 41*54=2214, Resulting Numbers: [2214]
2214,16 unequal: No Solution
Exploring Operation: 41+54=95, Resulting Numbers: [95]
95,16 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
Current State: 16:[49, 8, 38], Operations: ['41-3=38']
Exploring Operation: 49+8=57, Resulting Numbers: [38, 57]
Generated Node #0,3,0: 16:[38, 57] Operation: 49+8=57
Exploring Operation: 49-8=41, Resulting Numbers: [38, 41]
Generated Node #0,3,1: 16:[38, 41] Operation: 49-8=41
Exploring Operation: 38-8=30, Resulting Numbers: [49, 30]
Generated Node #0,3,2: 16:[49, 30] Operation: 38-8=30
Exploring Operation: 49-38=11, Resulting Numbers: [8, 11]
Generated Node #0,3,3: 16:[8, 11] Operation: 49-38=11
Exploring Operation: 8+38=46, Resulting Numbers: [49, 46]
Generated Node #0,3,4: 16:[49, 46] Operation: 8+38=46
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 16:[8, 11], Operations: ['41-3=38', '49-38=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,16 unequal: No Solution
No 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: 16:[38, 41], Operations: ['41-3=38', '49-8=41']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 38+41=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Exploring Operation: 38*41=1558, Resulting Numbers: [1558]
1558,16 unequal: No Solution
No 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: 16:[49, 30], Operations: ['41-3=38', '38-8=30']
Exploring Operation: 49+30=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Exploring Operation: 49*30=1470, Resulting Numbers: [1470]
1470,16 unequal: No Solution
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,16 unequal: No Solution
No 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: 16:[38, 57], Operations: ['41-3=38', '49+8=57']
Exploring Operation: 38+57=95, Resulting Numbers: [95]
95,16 unequal: No Solution
Exploring Operation: 38*57=2166, Resulting Numbers: [2166]
2166,16 unequal: No Solution
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,16 unequal: No Solution
No 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: 16:[49, 46], Operations: ['41-3=38', '8+38=46']
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,16 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,16 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 |
[
11,
91,
67,
7
] | 99 | [
"67-11=56",
"56/7=8",
"91+8=99"
] | Current State: 99:[11, 91, 67, 7], Operations: []
Exploring Operation: 67-11=56, Resulting Numbers: [91, 7, 56]
Generated Node #2: [91, 7, 56] from Operation: 67-11=56
Current State: 99:[91, 7, 56], Operations: ['67-11=56']
Exploring Operation: 56/7=8, Resulting Numbers: [91, 8]
Generated Node #3: [91, 8] from Operation: 56/7=8
Current State: 99:[91, 8], Operations: ['67-11=56', '56/7=8']
Exploring Operation: 91+8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[11, 91, 67, 7], Operations: []
Exploring Operation: 91-67=24, Resulting Numbers: [11, 7, 24]
Generated Node #0,0: 99:[11, 7, 24] Operation: 91-67=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[11, 7, 24], Operations: ['91-67=24']
Exploring Operation: 7+24=31, Resulting Numbers: [11, 31]
Generated Node #0,0,0: 99:[11, 31] Operation: 7+24=31
Moving to Node #0,0,0
Current State: 99:[11, 31], Operations: ['91-67=24', '7+24=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
1,
13,
63,
22
] | 72 | [
"1*13=13",
"63+22=85",
"85-13=72"
] | Current State: 72:[1, 13, 63, 22], Operations: []
Exploring Operation: 1*13=13, Resulting Numbers: [63, 22, 13]
Generated Node #2: [63, 22, 13] from Operation: 1*13=13
Current State: 72:[63, 22, 13], Operations: ['1*13=13']
Exploring Operation: 63+22=85, Resulting Numbers: [13, 85]
Generated Node #3: [13, 85] from Operation: 63+22=85
Current State: 72:[13, 85], Operations: ['1*13=13', '63+22=85']
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[1, 13, 63, 22], Operations: []
Exploring Operation: 63-22=41, Resulting Numbers: [1, 13, 41]
Generated Node #0,0: 72:[1, 13, 41] Operation: 63-22=41
Exploring Operation: 13+63=76, Resulting Numbers: [1, 22, 76]
Generated Node #0,1: 72:[1, 22, 76] Operation: 13+63=76
Exploring Operation: 22-13=9, Resulting Numbers: [1, 63, 9]
Generated Node #0,2: 72:[1, 63, 9] Operation: 22-13=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[1, 13, 41], Operations: ['63-22=41']
Exploring Operation: 41-13=28, Resulting Numbers: [1, 28]
Generated Node #0,0,0: 72:[1, 28] Operation: 41-13=28
Exploring Operation: 13-1=12, Resulting Numbers: [41, 12]
Generated Node #0,0,1: 72:[41, 12] Operation: 13-1=12
Exploring Operation: 41-1=40, Resulting Numbers: [13, 40]
Generated Node #0,0,2: 72:[13, 40] Operation: 41-1=40
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[1, 28], Operations: ['63-22=41', '41-13=28']
Exploring Operation: 1*28=28, Resulting Numbers: [28]
28,72 unequal: No Solution
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 72:[41, 12], Operations: ['63-22=41', '13-1=12']
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,72 unequal: No Solution
Exploring Operation: 41*12=492, Resulting Numbers: [492]
492,72 unequal: No Solution
Exploring Operation: 41+12=53, Resulting Numbers: [53]
53,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 72:[13, 40], Operations: ['63-22=41', '41-1=40']
Exploring Operation: 13*40=520, Resulting Numbers: [520]
520,72 unequal: No Solution
Exploring Operation: 40-13=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 13+40=53, Resulting Numbers: [53]
53,72 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[1, 22, 76], Operations: ['13+63=76']
Exploring Operation: 76-1=75, Resulting Numbers: [22, 75]
Generated Node #0,1,0: 72:[22, 75] Operation: 76-1=75
Exploring Operation: 1*22=22, Resulting Numbers: [76, 22]
Generated Node #0,1,1: 72:[76, 22] Operation: 1*22=22
Exploring Operation: 1+22=23, Resulting Numbers: [76, 23]
Generated Node #0,1,2: 72:[76, 23] Operation: 1+22=23
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 72:[22, 75], Operations: ['13+63=76', '76-1=75']
Exploring Operation: 22*75=1650, Resulting Numbers: [1650]
1650,72 unequal: No Solution
Exploring Operation: 75-22=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Exploring Operation: 22+75=97, Resulting Numbers: [97]
97,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 72:[76, 23], Operations: ['13+63=76', '1+22=23']
Exploring Operation: 76+23=99, Resulting Numbers: [99]
99,72 unequal: No Solution
Exploring Operation: 76*23=1748, Resulting Numbers: [1748]
1748,72 unequal: No Solution
Exploring Operation: 76-23=53, Resulting Numbers: [53]
53,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 72:[76, 22], Operations: ['13+63=76', '1*22=22']
Exploring Operation: 76+22=98, Resulting Numbers: [98]
98,72 unequal: No Solution
Exploring Operation: 76*22=1672, Resulting Numbers: [1672]
1672,72 unequal: No Solution
Exploring Operation: 76-22=54, Resulting Numbers: [54]
54,72 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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[1, 63, 9], Operations: ['22-13=9']
Exploring Operation: 63/9=7, Resulting Numbers: [1, 7]
Generated Node #0,2,0: 72:[1, 7] Operation: 63/9=7
Exploring Operation: 1+63=64, Resulting Numbers: [9, 64]
Generated Node #0,2,1: 72:[9, 64] Operation: 1+63=64
Exploring Operation: 63+9=72, Resulting Numbers: [1, 72]
Generated Node #0,2,2: 72:[1, 72] Operation: 63+9=72
Moving to Node #0,2,2
Current State: 72:[1, 72], Operations: ['22-13=9', '63+9=72']
Exploring Operation: 1+72=73, Resulting Numbers: [73]
73,72 unequal: No Solution
Exploring Operation: 1*72=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[1, 13, 63, 22], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [1, 63, 9]
Generated Node #0,2: 72:[1, 63, 9] Operation: 22-13=9
Moving to Node #0,2
Current State: 72:[1, 63, 9], Operations: ['22-13=9']
Exploring Operation: 63+9=72, Resulting Numbers: [1, 72]
Generated Node #0,2,2: 72:[1, 72] Operation: 63+9=72
Moving to Node #0,2,2
Current State: 72:[1, 72], Operations: ['22-13=9', '63+9=72']
Exploring Operation: 1*72=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_3 | sum_heuristic |
[
44,
58,
52,
42
] | 46 | [
"44-42=2",
"52*2=104",
"104-58=46"
] | Current State: 46:[44, 58, 52, 42], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [58, 52, 2]
Generated Node #2: [58, 52, 2] from Operation: 44-42=2
Current State: 46:[58, 52, 2], Operations: ['44-42=2']
Exploring Operation: 52*2=104, Resulting Numbers: [58, 104]
Generated Node #3: [58, 104] from Operation: 52*2=104
Current State: 46:[58, 104], Operations: ['44-42=2', '52*2=104']
Exploring Operation: 104-58=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[44, 58, 52, 42], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [44, 42, 6]
Generated Node #0,0: 46:[44, 42, 6] Operation: 58-52=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[44, 42, 6], Operations: ['58-52=6']
Exploring Operation: 44-42=2, Resulting Numbers: [6, 2]
Generated Node #0,0,0: 46:[6, 2] Operation: 44-42=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[6, 2], Operations: ['58-52=6', '44-42=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,46 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_1 | mult_heuristic |
[
59,
21,
5,
37
] | 89 | [
"59-37=22",
"5*22=110",
"110-21=89"
] | Current State: 89:[59, 21, 5, 37], Operations: []
Exploring Operation: 59-37=22, Resulting Numbers: [21, 5, 22]
Generated Node #2: [21, 5, 22] from Operation: 59-37=22
Current State: 89:[21, 5, 22], Operations: ['59-37=22']
Exploring Operation: 5*22=110, Resulting Numbers: [21, 110]
Generated Node #3: [21, 110] from Operation: 5*22=110
Current State: 89:[21, 110], Operations: ['59-37=22', '5*22=110']
Exploring Operation: 110-21=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[59, 21, 5, 37], Operations: []
Exploring Operation: 21+37=58, Resulting Numbers: [59, 5, 58]
Generated Node #0,0: 89:[59, 5, 58] Operation: 21+37=58
Exploring Operation: 21*5=105, Resulting Numbers: [59, 37, 105]
Generated Node #0,1: 89:[59, 37, 105] Operation: 21*5=105
Exploring Operation: 59+5=64, Resulting Numbers: [21, 37, 64]
Generated Node #0,2: 89:[21, 37, 64] Operation: 59+5=64
Exploring Operation: 21+5=26, Resulting Numbers: [59, 37, 26]
Generated Node #0,3: 89:[59, 37, 26] Operation: 21+5=26
Exploring Operation: 59+21=80, Resulting Numbers: [5, 37, 80]
Generated Node #0,4: 89:[5, 37, 80] Operation: 59+21=80
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[59, 37, 105], Operations: ['21*5=105']
Exploring Operation: 59+37=96, Resulting Numbers: [105, 96]
Generated Node #0,1,0: 89:[105, 96] Operation: 59+37=96
Exploring Operation: 37+105=142, Resulting Numbers: [59, 142]
Generated Node #0,1,1: 89:[59, 142] Operation: 37+105=142
Exploring Operation: 105-59=46, Resulting Numbers: [37, 46]
Generated Node #0,1,2: 89:[37, 46] Operation: 105-59=46
Exploring Operation: 105-37=68, Resulting Numbers: [59, 68]
Generated Node #0,1,3: 89:[59, 68] Operation: 105-37=68
Exploring Operation: 59-37=22, Resulting Numbers: [105, 22]
Generated Node #0,1,4: 89:[105, 22] Operation: 59-37=22
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[105, 96], Operations: ['21*5=105', '59+37=96']
Exploring Operation: 105+96=201, Resulting Numbers: [201]
201,89 unequal: No Solution
Exploring Operation: 105-96=9, Resulting Numbers: [9]
9,89 unequal: No Solution
Exploring Operation: 105*96=10080, Resulting Numbers: [10080]
10080,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 89:[59, 68], Operations: ['21*5=105', '105-37=68']
Exploring Operation: 59+68=127, Resulting Numbers: [127]
127,89 unequal: No Solution
Exploring Operation: 68-59=9, Resulting Numbers: [9]
9,89 unequal: No Solution
Exploring Operation: 59*68=4012, Resulting Numbers: [4012]
4012,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[59, 142], Operations: ['21*5=105', '37+105=142']
Exploring Operation: 59*142=8378, Resulting Numbers: [8378]
8378,89 unequal: No Solution
Exploring Operation: 142-59=83, Resulting Numbers: [83]
83,89 unequal: No Solution
Exploring Operation: 59+142=201, Resulting Numbers: [201]
201,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 89:[105, 22], Operations: ['21*5=105', '59-37=22']
Exploring Operation: 105+22=127, Resulting Numbers: [127]
127,89 unequal: No Solution
Exploring Operation: 105-22=83, Resulting Numbers: [83]
83,89 unequal: No Solution
Exploring Operation: 105*22=2310, Resulting Numbers: [2310]
2310,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 89:[37, 46], Operations: ['21*5=105', '105-59=46']
Exploring Operation: 37*46=1702, Resulting Numbers: [1702]
1702,89 unequal: No Solution
Exploring Operation: 37+46=83, Resulting Numbers: [83]
83,89 unequal: No Solution
Exploring Operation: 46-37=9, Resulting Numbers: [9]
9,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[59, 5, 58], Operations: ['21+37=58']
Exploring Operation: 58-5=53, Resulting Numbers: [59, 53]
Generated Node #0,0,0: 89:[59, 53] Operation: 58-5=53
Exploring Operation: 59+58=117, Resulting Numbers: [5, 117]
Generated Node #0,0,1: 89:[5, 117] Operation: 59+58=117
Exploring Operation: 5+58=63, Resulting Numbers: [59, 63]
Generated Node #0,0,2: 89:[59, 63] Operation: 5+58=63
Exploring Operation: 59-5=54, Resulting Numbers: [58, 54]
Generated Node #0,0,3: 89:[58, 54] Operation: 59-5=54
Exploring Operation: 59+5=64, Resulting Numbers: [58, 64]
Generated Node #0,0,4: 89:[58, 64] Operation: 59+5=64
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 89:[59, 63], Operations: ['21+37=58', '5+58=63']
Exploring Operation: 63-59=4, Resulting Numbers: [4]
4,89 unequal: No Solution
Exploring Operation: 59+63=122, Resulting Numbers: [122]
122,89 unequal: No Solution
Exploring Operation: 59*63=3717, Resulting Numbers: [3717]
3717,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 89:[58, 64], Operations: ['21+37=58', '59+5=64']
Exploring Operation: 58*64=3712, Resulting Numbers: [3712]
3712,89 unequal: No Solution
Exploring Operation: 58+64=122, Resulting Numbers: [122]
122,89 unequal: No Solution
Exploring Operation: 64-58=6, Resulting Numbers: [6]
6,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[59, 53], Operations: ['21+37=58', '58-5=53']
Exploring Operation: 59+53=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 59-53=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 59*53=3127, Resulting Numbers: [3127]
3127,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 89:[58, 54], Operations: ['21+37=58', '59-5=54']
Exploring Operation: 58*54=3132, Resulting Numbers: [3132]
3132,89 unequal: No Solution
Exploring Operation: 58+54=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[5, 117], Operations: ['21+37=58', '59+58=117']
Exploring Operation: 5*117=585, Resulting Numbers: [585]
585,89 unequal: No Solution
Exploring Operation: 5+117=122, Resulting Numbers: [122]
122,89 unequal: No Solution
Exploring Operation: 117-5=112, Resulting Numbers: [112]
112,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[21, 37, 64], Operations: ['59+5=64']
Exploring Operation: 37+64=101, Resulting Numbers: [21, 101]
Generated Node #0,2,0: 89:[21, 101] Operation: 37+64=101
Exploring Operation: 64-21=43, Resulting Numbers: [37, 43]
Generated Node #0,2,1: 89:[37, 43] Operation: 64-21=43
Exploring Operation: 21+64=85, Resulting Numbers: [37, 85]
Generated Node #0,2,2: 89:[37, 85] Operation: 21+64=85
Exploring Operation: 37-21=16, Resulting Numbers: [64, 16]
Generated Node #0,2,3: 89:[64, 16] Operation: 37-21=16
Exploring Operation: 21+37=58, Resulting Numbers: [64, 58]
Generated Node #0,2,4: 89:[64, 58] Operation: 21+37=58
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 89:[37, 85], Operations: ['59+5=64', '21+64=85']
Exploring Operation: 37+85=122, Resulting Numbers: [122]
122,89 unequal: No Solution
Exploring Operation: 37*85=3145, Resulting Numbers: [3145]
3145,89 unequal: No Solution
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 89:[64, 58], Operations: ['59+5=64', '21+37=58']
Exploring Operation: 64-58=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 64+58=122, Resulting Numbers: [122]
122,89 unequal: No Solution
Exploring Operation: 64*58=3712, Resulting Numbers: [3712]
3712,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[21, 101], Operations: ['59+5=64', '37+64=101']
Exploring Operation: 101-21=80, Resulting Numbers: [80]
80,89 unequal: No Solution
Exploring Operation: 21*101=2121, Resulting Numbers: [2121]
2121,89 unequal: No Solution
Exploring Operation: 21+101=122, Resulting Numbers: [122]
122,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 89:[37, 43], Operations: ['59+5=64', '64-21=43']
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 37*43=1591, Resulting Numbers: [1591]
1591,89 unequal: No Solution
Exploring Operation: 37+43=80, Resulting Numbers: [80]
80,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 89:[64, 16], Operations: ['59+5=64', '37-21=16']
Exploring Operation: 64+16=80, Resulting Numbers: [80]
80,89 unequal: No Solution
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,89 unequal: No Solution
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,89 unequal: No Solution
Exploring Operation: 64*16=1024, Resulting Numbers: [1024]
1024,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 89:[59, 37, 26], Operations: ['21+5=26']
Exploring Operation: 37-26=11, Resulting Numbers: [59, 11]
Generated Node #0,3,0: 89:[59, 11] Operation: 37-26=11
Exploring Operation: 37+26=63, Resulting Numbers: [59, 63]
Generated Node #0,3,1: 89:[59, 63] Operation: 37+26=63
Exploring Operation: 59+37=96, Resulting Numbers: [26, 96]
Generated Node #0,3,2: 89:[26, 96] Operation: 59+37=96
Exploring Operation: 59+26=85, Resulting Numbers: [37, 85]
Generated Node #0,3,3: 89:[37, 85] Operation: 59+26=85
Exploring Operation: 59-26=33, Resulting Numbers: [37, 33]
Generated Node #0,3,4: 89:[37, 33] Operation: 59-26=33
Moving to Node #0,3,1
Current State: 89:[59, 63], Operations: ['21+5=26', '37+26=63']
Exploring Operation: 59*63=3717, Resulting Numbers: [3717]
3717,89 unequal: No Solution
Exploring Operation: 63-59=4, Resulting Numbers: [4]
4,89 unequal: No Solution
Exploring Operation: 59+63=122, Resulting Numbers: [122]
122,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[37, 85], Operations: ['21+5=26', '59+26=85']
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,89 unequal: No Solution
Exploring Operation: 37+85=122, Resulting Numbers: [122]
122,89 unequal: No Solution
Exploring Operation: 37*85=3145, Resulting Numbers: [3145]
3145,89 unequal: No Solution
Moving to Node #0,3,2
Current State: 89:[26, 96], Operations: ['21+5=26', '59+37=96']
Exploring Operation: 26*96=2496, Resulting Numbers: [2496]
2496,89 unequal: No Solution
Exploring Operation: 96-26=70, Resulting Numbers: [70]
70,89 unequal: No Solution
Exploring Operation: 26+96=122, Resulting Numbers: [122]
122,89 unequal: No Solution
Moving to Node #0,3,0
Current State: 89:[59, 11], Operations: ['21+5=26', '37-26=11']
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,89 unequal: No Solution
Exploring Operation: 59*11=649, Resulting Numbers: [649]
649,89 unequal: No Solution
Exploring Operation: 59+11=70, Resulting Numbers: [70]
70,89 unequal: No Solution
Moving to Node #0,3,4
Current State: 89:[37, 33], Operations: ['21+5=26', '59-26=33']
Exploring Operation: 37*33=1221, Resulting Numbers: [1221]
1221,89 unequal: No Solution
Exploring Operation: 37+33=70, Resulting Numbers: [70]
70,89 unequal: No Solution
Exploring Operation: 37-33=4, Resulting Numbers: [4]
4,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 89:[5, 37, 80], Operations: ['59+21=80']
Exploring Operation: 80-5=75, Resulting Numbers: [37, 75]
Generated Node #0,4,0: 89:[37, 75] Operation: 80-5=75
Exploring Operation: 5+37=42, Resulting Numbers: [80, 42]
Generated Node #0,4,1: 89:[80, 42] Operation: 5+37=42
Exploring Operation: 5+80=85, Resulting Numbers: [37, 85]
Generated Node #0,4,2: 89:[37, 85] Operation: 5+80=85
Exploring Operation: 5*37=185, Resulting Numbers: [80, 185]
Generated Node #0,4,3: 89:[80, 185] Operation: 5*37=185
Exploring Operation: 37-5=32, Resulting Numbers: [80, 32]
Generated Node #0,4,4: 89:[80, 32] Operation: 37-5=32
Moving to Node #0,4,1
Current State: 89:[80, 42], Operations: ['59+21=80', '5+37=42']
Exploring Operation: 80+42=122, Resulting Numbers: [122]
122,89 unequal: No Solution
Exploring Operation: 80*42=3360, Resulting Numbers: [3360]
3360,89 unequal: No Solution
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,89 unequal: No Solution
Moving to Node #0,4,2
Current State: 89:[37, 85], Operations: ['59+21=80', '5+80=85']
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,89 unequal: No Solution
Exploring Operation: 37+85=122, Resulting Numbers: [122]
122,89 unequal: No Solution
Exploring Operation: 37*85=3145, Resulting Numbers: [3145]
3145,89 unequal: No Solution
Moving to Node #0,4,0
Current State: 89:[37, 75], Operations: ['59+21=80', '80-5=75']
Exploring Operation: 37*75=2775, Resulting Numbers: [2775]
2775,89 unequal: No Solution
Exploring Operation: 37+75=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,89 unequal: No Solution
Moving to Node #0,4,4
Current State: 89:[80, 32], Operations: ['59+21=80', '37-5=32']
Exploring Operation: 80+32=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 80*32=2560, Resulting Numbers: [2560]
2560,89 unequal: No Solution
Exploring Operation: 80-32=48, Resulting Numbers: [48]
48,89 unequal: No Solution
Moving to Node #0,4,3
Current State: 89:[80, 185], Operations: ['59+21=80', '5*37=185']
Exploring Operation: 80+185=265, Resulting Numbers: [265]
265,89 unequal: No Solution
Exploring Operation: 80*185=14800, Resulting Numbers: [14800]
14800,89 unequal: No Solution
Exploring Operation: 185-80=105, Resulting Numbers: [105]
105,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
71,
22,
96,
98
] | 47 | [
"71-22=49",
"98-96=2",
"49-2=47"
] | Current State: 47:[71, 22, 96, 98], Operations: []
Exploring Operation: 71-22=49, Resulting Numbers: [96, 98, 49]
Generated Node #2: [96, 98, 49] from Operation: 71-22=49
Current State: 47:[96, 98, 49], Operations: ['71-22=49']
Exploring Operation: 98-96=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 98-96=2
Current State: 47:[49, 2], Operations: ['71-22=49', '98-96=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[71, 22, 96, 98], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [71, 22, 2]
Generated Node #0,0: 47:[71, 22, 2] Operation: 98-96=2
Exploring Operation: 71-22=49, Resulting Numbers: [96, 98, 49]
Generated Node #0,1: 47:[96, 98, 49] Operation: 71-22=49
Exploring Operation: 96-22=74, Resulting Numbers: [71, 98, 74]
Generated Node #0,2: 47:[71, 98, 74] Operation: 96-22=74
Exploring Operation: 98-71=27, Resulting Numbers: [22, 96, 27]
Generated Node #0,3: 47:[22, 96, 27] Operation: 98-71=27
Exploring Operation: 96-71=25, Resulting Numbers: [22, 98, 25]
Generated Node #0,4: 47:[22, 98, 25] Operation: 96-71=25
Moving to Node #0,0
Current State: 47:[71, 22, 2], Operations: ['98-96=2']
Exploring Operation: 71-2=69, Resulting Numbers: [22, 69]
Generated Node #0,0,0: 47:[22, 69] Operation: 71-2=69
Exploring Operation: 71-22=49, Resulting Numbers: [2, 49]
Generated Node #0,0,1: 47:[2, 49] Operation: 71-22=49
Exploring Operation: 22*2=44, Resulting Numbers: [71, 44]
Generated Node #0,0,2: 47:[71, 44] Operation: 22*2=44
Exploring Operation: 71+2=73, Resulting Numbers: [22, 73]
Generated Node #0,0,3: 47:[22, 73] Operation: 71+2=73
Exploring Operation: 22+2=24, Resulting Numbers: [71, 24]
Generated Node #0,0,4: 47:[71, 24] Operation: 22+2=24
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[71, 44], Operations: ['98-96=2', '22*2=44']
Exploring Operation: 71*44=3124, Resulting Numbers: [3124]
3124,47 unequal: No Solution
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,47 unequal: No Solution
Exploring Operation: 71+44=115, Resulting Numbers: [115]
115,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[22, 69], Operations: ['98-96=2', '71-2=69']
Exploring Operation: 22+69=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Exploring Operation: 22*69=1518, Resulting Numbers: [1518]
1518,47 unequal: No Solution
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[71, 22, 96, 98], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [71, 22, 2]
Generated Node #0,0: 47:[71, 22, 2] Operation: 98-96=2
Moving to Node #0,0
Current State: 47:[71, 22, 2], Operations: ['98-96=2']
Exploring Operation: 71-2=69, Resulting Numbers: [22, 69]
Generated Node #0,0,0: 47:[22, 69] Operation: 71-2=69
Moving to Node #0,0,0
Current State: 47:[22, 69], Operations: ['98-96=2', '71-2=69']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
96,
99,
2,
86
] | 35 | [
"96/2=48",
"99-86=13",
"48-13=35"
] | Current State: 35:[96, 99, 2, 86], Operations: []
Exploring Operation: 96/2=48, Resulting Numbers: [99, 86, 48]
Generated Node #2: [99, 86, 48] from Operation: 96/2=48
Current State: 35:[99, 86, 48], Operations: ['96/2=48']
Exploring Operation: 99-86=13, Resulting Numbers: [48, 13]
Generated Node #3: [48, 13] from Operation: 99-86=13
Current State: 35:[48, 13], Operations: ['96/2=48', '99-86=13']
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[96, 99, 2, 86], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [99, 2, 10]
Generated Node #0,0: 35:[99, 2, 10] Operation: 96-86=10
Exploring Operation: 99-96=3, Resulting Numbers: [2, 86, 3]
Generated Node #0,1: 35:[2, 86, 3] Operation: 99-96=3
Moving to Node #0,1
Current State: 35:[2, 86, 3], Operations: ['99-96=3']
Exploring Operation: 86-2=84, Resulting Numbers: [3, 84]
Generated Node #0,1,0: 35:[3, 84] Operation: 86-2=84
Exploring Operation: 86/2=43, Resulting Numbers: [3, 43]
Generated Node #0,1,1: 35:[3, 43] Operation: 86/2=43
Moving to Node #0,0
Current State: 35:[99, 2, 10], Operations: ['96-86=10']
Exploring Operation: 99-10=89, Resulting Numbers: [2, 89]
Generated Node #0,0,0: 35:[2, 89] Operation: 99-10=89
Exploring Operation: 10/2=5, Resulting Numbers: [99, 5]
Generated Node #0,0,1: 35:[99, 5] Operation: 10/2=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[2, 89], Operations: ['96-86=10', '99-10=89']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,35 unequal: No Solution
Exploring Operation: 2+89=91, Resulting Numbers: [91]
91,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 35:[99, 5], Operations: ['96-86=10', '10/2=5']
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,35 unequal: No Solution
Exploring Operation: 99+5=104, Resulting Numbers: [104]
104,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 35:[3, 43], Operations: ['99-96=3', '86/2=43']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,35 unequal: No Solution
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Moving to Node #0,1,0
Current State: 35:[3, 84], Operations: ['99-96=3', '86-2=84']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,35 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
35,
15,
79,
31
] | 98 | [
"35+15=50",
"79-31=48",
"50+48=98"
] | Current State: 98:[35, 15, 79, 31], Operations: []
Exploring Operation: 35+15=50, Resulting Numbers: [79, 31, 50]
Generated Node #2: [79, 31, 50] from Operation: 35+15=50
Current State: 98:[79, 31, 50], Operations: ['35+15=50']
Exploring Operation: 79-31=48, Resulting Numbers: [50, 48]
Generated Node #3: [50, 48] from Operation: 79-31=48
Current State: 98:[50, 48], Operations: ['35+15=50', '79-31=48']
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[35, 15, 79, 31], Operations: []
Exploring Operation: 79+31=110, Resulting Numbers: [35, 15, 110]
Generated Node #0,0: 98:[35, 15, 110] Operation: 79+31=110
Exploring Operation: 79-31=48, Resulting Numbers: [35, 15, 48]
Generated Node #0,1: 98:[35, 15, 48] Operation: 79-31=48
Exploring Operation: 35-31=4, Resulting Numbers: [15, 79, 4]
Generated Node #0,2: 98:[15, 79, 4] Operation: 35-31=4
Exploring Operation: 79-35=44, Resulting Numbers: [15, 31, 44]
Generated Node #0,3: 98:[15, 31, 44] Operation: 79-35=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[35, 15, 48], Operations: ['79-31=48']
Exploring Operation: 48-35=13, Resulting Numbers: [15, 13]
Generated Node #0,1,0: 98:[15, 13] Operation: 48-35=13
Exploring Operation: 35+15=50, Resulting Numbers: [48, 50]
Generated Node #0,1,1: 98:[48, 50] Operation: 35+15=50
Exploring Operation: 35-15=20, Resulting Numbers: [48, 20]
Generated Node #0,1,2: 98:[48, 20] Operation: 35-15=20
Exploring Operation: 35+48=83, Resulting Numbers: [15, 83]
Generated Node #0,1,3: 98:[15, 83] Operation: 35+48=83
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 98:[15, 13], Operations: ['79-31=48', '48-35=13']
Exploring Operation: 15*13=195, Resulting Numbers: [195]
195,98 unequal: No Solution
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,98 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 98:[48, 50], Operations: ['79-31=48', '35+15=50']
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 48+50=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[35, 15, 79, 31], Operations: []
Exploring Operation: 79-31=48, Resulting Numbers: [35, 15, 48]
Generated Node #0,1: 98:[35, 15, 48] Operation: 79-31=48
Moving to Node #0,1
Current State: 98:[35, 15, 48], Operations: ['79-31=48']
Exploring Operation: 35+15=50, Resulting Numbers: [48, 50]
Generated Node #0,1,1: 98:[48, 50] Operation: 35+15=50
Moving to Node #0,1,1
Current State: 98:[48, 50], Operations: ['79-31=48', '35+15=50']
Exploring Operation: 48+50=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
56,
78,
95,
88
] | 15 | [
"78-56=22",
"95-88=7",
"22-7=15"
] | Current State: 15:[56, 78, 95, 88], Operations: []
Exploring Operation: 78-56=22, Resulting Numbers: [95, 88, 22]
Generated Node #2: [95, 88, 22] from Operation: 78-56=22
Current State: 15:[95, 88, 22], Operations: ['78-56=22']
Exploring Operation: 95-88=7, Resulting Numbers: [22, 7]
Generated Node #3: [22, 7] from Operation: 95-88=7
Current State: 15:[22, 7], Operations: ['78-56=22', '95-88=7']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[56, 78, 95, 88], Operations: []
Exploring Operation: 95-78=17, Resulting Numbers: [56, 88, 17]
Generated Node #0,0: 15:[56, 88, 17] Operation: 95-78=17
Exploring Operation: 78-56=22, Resulting Numbers: [95, 88, 22]
Generated Node #0,1: 15:[95, 88, 22] Operation: 78-56=22
Exploring Operation: 88-78=10, Resulting Numbers: [56, 95, 10]
Generated Node #0,2: 15:[56, 95, 10] Operation: 88-78=10
Exploring Operation: 95-88=7, Resulting Numbers: [56, 78, 7]
Generated Node #0,3: 15:[56, 78, 7] Operation: 95-88=7
Moving to Node #0,3
Current State: 15:[56, 78, 7], Operations: ['95-88=7']
Exploring Operation: 56-7=49, Resulting Numbers: [78, 49]
Generated Node #0,3,0: 15:[78, 49] Operation: 56-7=49
Exploring Operation: 78-56=22, Resulting Numbers: [7, 22]
Generated Node #0,3,1: 15:[7, 22] Operation: 78-56=22
Exploring Operation: 56/7=8, Resulting Numbers: [78, 8]
Generated Node #0,3,2: 15:[78, 8] Operation: 56/7=8
Exploring Operation: 78-7=71, Resulting Numbers: [56, 71]
Generated Node #0,3,3: 15:[56, 71] Operation: 78-7=71
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 15:[7, 22], Operations: ['95-88=7', '78-56=22']
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,15 unequal: No Solution
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[56, 78, 95, 88], Operations: []
Exploring Operation: 95-88=7, Resulting Numbers: [56, 78, 7]
Generated Node #0,3: 15:[56, 78, 7] Operation: 95-88=7
Moving to Node #0,3
Current State: 15:[56, 78, 7], Operations: ['95-88=7']
Exploring Operation: 78-56=22, Resulting Numbers: [7, 22]
Generated Node #0,3,1: 15:[7, 22] Operation: 78-56=22
Moving to Node #0,3,1
Current State: 15:[7, 22], Operations: ['95-88=7', '78-56=22']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
56,
9,
83,
98
] | 95 | [
"83-56=27",
"27/9=3",
"98-3=95"
] | Current State: 95:[56, 9, 83, 98], Operations: []
Exploring Operation: 83-56=27, Resulting Numbers: [9, 98, 27]
Generated Node #2: [9, 98, 27] from Operation: 83-56=27
Current State: 95:[9, 98, 27], Operations: ['83-56=27']
Exploring Operation: 27/9=3, Resulting Numbers: [98, 3]
Generated Node #3: [98, 3] from Operation: 27/9=3
Current State: 95:[98, 3], Operations: ['83-56=27', '27/9=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[56, 9, 83, 98], Operations: []
Exploring Operation: 83-56=27, Resulting Numbers: [9, 98, 27]
Generated Node #0,0: 95:[9, 98, 27] Operation: 83-56=27
Moving to Node #0,0
Current State: 95:[9, 98, 27], Operations: ['83-56=27']
Exploring Operation: 27-9=18, Resulting Numbers: [98, 18]
Generated Node #0,0,0: 95:[98, 18] Operation: 27-9=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[98, 18], Operations: ['83-56=27', '27-9=18']
Exploring Operation: 98-18=80, Resulting Numbers: [80]
80,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
19,
51,
52,
39
] | 87 | [
"51*52=2652",
"2652/39=68",
"19+68=87"
] | Current State: 87:[19, 51, 52, 39], Operations: []
Exploring Operation: 51*52=2652, Resulting Numbers: [19, 39, 2652]
Generated Node #2: [19, 39, 2652] from Operation: 51*52=2652
Current State: 87:[19, 39, 2652], Operations: ['51*52=2652']
Exploring Operation: 2652/39=68, Resulting Numbers: [19, 68]
Generated Node #3: [19, 68] from Operation: 2652/39=68
Current State: 87:[19, 68], Operations: ['51*52=2652', '2652/39=68']
Exploring Operation: 19+68=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[19, 51, 52, 39], Operations: []
Exploring Operation: 52-51=1, Resulting Numbers: [19, 39, 1]
Generated Node #0,0: 87:[19, 39, 1] Operation: 52-51=1
Moving to Node #0,0
Current State: 87:[19, 39, 1], Operations: ['52-51=1']
Exploring Operation: 39-19=20, Resulting Numbers: [1, 20]
Generated Node #0,0,0: 87:[1, 20] Operation: 39-19=20
Moving to Node #0,0,0
Current State: 87:[1, 20], Operations: ['52-51=1', '39-19=20']
Exploring Operation: 1+20=21, Resulting Numbers: [21]
21,87 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
38,
89,
97,
88
] | 60 | [
"89-38=51",
"97-88=9",
"51+9=60"
] | Current State: 60:[38, 89, 97, 88], Operations: []
Exploring Operation: 89-38=51, Resulting Numbers: [97, 88, 51]
Generated Node #2: [97, 88, 51] from Operation: 89-38=51
Current State: 60:[97, 88, 51], Operations: ['89-38=51']
Exploring Operation: 97-88=9, Resulting Numbers: [51, 9]
Generated Node #3: [51, 9] from Operation: 97-88=9
Current State: 60:[51, 9], Operations: ['89-38=51', '97-88=9']
Exploring Operation: 51+9=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[38, 89, 97, 88], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [38, 88, 8]
Generated Node #0,0: 60:[38, 88, 8] Operation: 97-89=8
Moving to Node #0,0
Current State: 60:[38, 88, 8], Operations: ['97-89=8']
Exploring Operation: 88/8=11, Resulting Numbers: [38, 11]
Generated Node #0,0,0: 60:[38, 11] Operation: 88/8=11
Moving to Node #0,0,0
Current State: 60:[38, 11], Operations: ['97-89=8', '88/8=11']
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,60 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
59,
64,
76,
11
] | 92 | [
"64-59=5",
"76+11=87",
"5+87=92"
] | Current State: 92:[59, 64, 76, 11], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [76, 11, 5]
Generated Node #2: [76, 11, 5] from Operation: 64-59=5
Current State: 92:[76, 11, 5], Operations: ['64-59=5']
Exploring Operation: 76+11=87, Resulting Numbers: [5, 87]
Generated Node #3: [5, 87] from Operation: 76+11=87
Current State: 92:[5, 87], Operations: ['64-59=5', '76+11=87']
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[59, 64, 76, 11], Operations: []
Exploring Operation: 59-11=48, Resulting Numbers: [64, 76, 48]
Generated Node #0,0: 92:[64, 76, 48] Operation: 59-11=48
Exploring Operation: 76-64=12, Resulting Numbers: [59, 11, 12]
Generated Node #0,1: 92:[59, 11, 12] Operation: 76-64=12
Exploring Operation: 64-11=53, Resulting Numbers: [59, 76, 53]
Generated Node #0,2: 92:[59, 76, 53] Operation: 64-11=53
Exploring Operation: 76-59=17, Resulting Numbers: [64, 11, 17]
Generated Node #0,3: 92:[64, 11, 17] Operation: 76-59=17
Exploring Operation: 64-59=5, Resulting Numbers: [76, 11, 5]
Generated Node #0,4: 92:[76, 11, 5] Operation: 64-59=5
Moving to Node #0,4
Current State: 92:[76, 11, 5], Operations: ['64-59=5']
Exploring Operation: 11-5=6, Resulting Numbers: [76, 6]
Generated Node #0,4,0: 92:[76, 6] Operation: 11-5=6
Exploring Operation: 76+11=87, Resulting Numbers: [5, 87]
Generated Node #0,4,1: 92:[5, 87] Operation: 76+11=87
Exploring Operation: 11+5=16, Resulting Numbers: [76, 16]
Generated Node #0,4,2: 92:[76, 16] Operation: 11+5=16
Exploring Operation: 76-11=65, Resulting Numbers: [5, 65]
Generated Node #0,4,3: 92:[5, 65] Operation: 76-11=65
Exploring Operation: 76+5=81, Resulting Numbers: [11, 81]
Generated Node #0,4,4: 92:[11, 81] Operation: 76+5=81
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 92:[5, 87], Operations: ['64-59=5', '76+11=87']
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[59, 64, 76, 11], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [76, 11, 5]
Generated Node #0,4: 92:[76, 11, 5] Operation: 64-59=5
Moving to Node #0,4
Current State: 92:[76, 11, 5], Operations: ['64-59=5']
Exploring Operation: 76+11=87, Resulting Numbers: [5, 87]
Generated Node #0,4,1: 92:[5, 87] Operation: 76+11=87
Moving to Node #0,4,1
Current State: 92:[5, 87], Operations: ['64-59=5', '76+11=87']
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
26,
52,
64,
5
] | 95 | [
"52-26=26",
"64+5=69",
"26+69=95"
] | Current State: 95:[26, 52, 64, 5], Operations: []
Exploring Operation: 52-26=26, Resulting Numbers: [64, 5, 26]
Generated Node #2: [64, 5, 26] from Operation: 52-26=26
Current State: 95:[64, 5, 26], Operations: ['52-26=26']
Exploring Operation: 64+5=69, Resulting Numbers: [26, 69]
Generated Node #3: [26, 69] from Operation: 64+5=69
Current State: 95:[26, 69], Operations: ['52-26=26', '64+5=69']
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[26, 52, 64, 5], Operations: []
Exploring Operation: 52+64=116, Resulting Numbers: [26, 5, 116]
Generated Node #0,0: 95:[26, 5, 116] Operation: 52+64=116
Exploring Operation: 64-52=12, Resulting Numbers: [26, 5, 12]
Generated Node #0,1: 95:[26, 5, 12] Operation: 64-52=12
Exploring Operation: 52/26=2, Resulting Numbers: [64, 5, 2]
Generated Node #0,2: 95:[64, 5, 2] Operation: 52/26=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[26, 5, 12], Operations: ['64-52=12']
Exploring Operation: 26-12=14, Resulting Numbers: [5, 14]
Generated Node #0,1,0: 95:[5, 14] Operation: 26-12=14
Exploring Operation: 26-5=21, Resulting Numbers: [12, 21]
Generated Node #0,1,1: 95:[12, 21] Operation: 26-5=21
Exploring Operation: 5+12=17, Resulting Numbers: [26, 17]
Generated Node #0,1,2: 95:[26, 17] Operation: 5+12=17
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 95:[5, 14], Operations: ['64-52=12', '26-12=14']
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,95 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:[12, 21], Operations: ['64-52=12', '26-5=21']
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,95 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:[26, 17], Operations: ['64-52=12', '5+12=17']
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,95 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,95 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:[26, 5, 116], Operations: ['52+64=116']
Exploring Operation: 116-26=90, Resulting Numbers: [5, 90]
Generated Node #0,0,0: 95:[5, 90] Operation: 116-26=90
Exploring Operation: 26-5=21, Resulting Numbers: [116, 21]
Generated Node #0,0,1: 95:[116, 21] Operation: 26-5=21
Exploring Operation: 116-5=111, Resulting Numbers: [26, 111]
Generated Node #0,0,2: 95:[26, 111] Operation: 116-5=111
Moving to Node #0,0,0
Current State: 95:[5, 90], Operations: ['52+64=116', '116-26=90']
Exploring Operation: 5+90=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[26, 52, 64, 5], Operations: []
Exploring Operation: 52+64=116, Resulting Numbers: [26, 5, 116]
Generated Node #0,0: 95:[26, 5, 116] Operation: 52+64=116
Moving to Node #0,0
Current State: 95:[26, 5, 116], Operations: ['52+64=116']
Exploring Operation: 116-26=90, Resulting Numbers: [5, 90]
Generated Node #0,0,0: 95:[5, 90] Operation: 116-26=90
Moving to Node #0,0,0
Current State: 95:[5, 90], Operations: ['52+64=116', '116-26=90']
Exploring Operation: 5+90=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
73,
67,
8,
2
] | 10 | [
"73-67=6",
"8*2=16",
"16-6=10"
] | Current State: 10:[73, 67, 8, 2], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [8, 2, 6]
Generated Node #2: [8, 2, 6] from Operation: 73-67=6
Current State: 10:[8, 2, 6], Operations: ['73-67=6']
Exploring Operation: 8*2=16, Resulting Numbers: [6, 16]
Generated Node #3: [6, 16] from Operation: 8*2=16
Current State: 10:[6, 16], Operations: ['73-67=6', '8*2=16']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[73, 67, 8, 2], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [8, 2, 6]
Generated Node #0,0: 10:[8, 2, 6] Operation: 73-67=6
Exploring Operation: 73-8=65, Resulting Numbers: [67, 2, 65]
Generated Node #0,1: 10:[67, 2, 65] Operation: 73-8=65
Moving to Node #0,0
Current State: 10:[8, 2, 6], Operations: ['73-67=6']
Exploring Operation: 8+2=10, Resulting Numbers: [6, 10]
Generated Node #0,0,0: 10:[6, 10] Operation: 8+2=10
Exploring Operation: 8-6=2, Resulting Numbers: [2, 2]
Generated Node #0,0,1: 10:[2, 2] Operation: 8-6=2
Moving to Node #0,1
Current State: 10:[67, 2, 65], Operations: ['73-8=65']
Exploring Operation: 67-65=2, Resulting Numbers: [2, 2]
Generated Node #0,1,0: 10:[2, 2] Operation: 67-65=2
Exploring Operation: 67-2=65, Resulting Numbers: [65, 65]
Generated Node #0,1,1: 10:[65, 65] Operation: 67-2=65
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[2, 2], Operations: ['73-8=65', '67-65=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[65, 65], Operations: ['73-8=65', '67-2=65']
Exploring Operation: 65/65=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 65-65=0, Resulting Numbers: [0]
0,10 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: 10:[2, 2], Operations: ['73-67=6', '8-6=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[6, 10], Operations: ['73-67=6', '8+2=10']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,10 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
9,
54,
56,
31
] | 19 | [
"54/9=6",
"56-31=25",
"25-6=19"
] | Current State: 19:[9, 54, 56, 31], Operations: []
Exploring Operation: 54/9=6, Resulting Numbers: [56, 31, 6]
Generated Node #2: [56, 31, 6] from Operation: 54/9=6
Current State: 19:[56, 31, 6], Operations: ['54/9=6']
Exploring Operation: 56-31=25, Resulting Numbers: [6, 25]
Generated Node #3: [6, 25] from Operation: 56-31=25
Current State: 19:[6, 25], Operations: ['54/9=6', '56-31=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[9, 54, 56, 31], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [9, 31, 2]
Generated Node #0,0: 19:[9, 31, 2] Operation: 56-54=2
Exploring Operation: 54/9=6, Resulting Numbers: [56, 31, 6]
Generated Node #0,1: 19:[56, 31, 6] Operation: 54/9=6
Exploring Operation: 54-31=23, Resulting Numbers: [9, 56, 23]
Generated Node #0,2: 19:[9, 56, 23] Operation: 54-31=23
Exploring Operation: 56-31=25, Resulting Numbers: [9, 54, 25]
Generated Node #0,3: 19:[9, 54, 25] Operation: 56-31=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[9, 31, 2], Operations: ['56-54=2']
Exploring Operation: 31-2=29, Resulting Numbers: [9, 29]
Generated Node #0,0,0: 19:[9, 29] Operation: 31-2=29
Exploring Operation: 31-9=22, Resulting Numbers: [2, 22]
Generated Node #0,0,1: 19:[2, 22] Operation: 31-9=22
Exploring Operation: 9+2=11, Resulting Numbers: [31, 11]
Generated Node #0,0,2: 19:[31, 11] Operation: 9+2=11
Exploring Operation: 9*2=18, Resulting Numbers: [31, 18]
Generated Node #0,0,3: 19:[31, 18] Operation: 9*2=18
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 19:[31, 18], Operations: ['56-54=2', '9*2=18']
Exploring Operation: 31*18=558, Resulting Numbers: [558]
558,19 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Exploring Operation: 31+18=49, Resulting Numbers: [49]
49,19 unequal: No Solution
No 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: 19:[9, 29], Operations: ['56-54=2', '31-2=29']
Exploring Operation: 9+29=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 9*29=261, Resulting Numbers: [261]
261,19 unequal: No Solution
No 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: 19:[2, 22], Operations: ['56-54=2', '31-9=22']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,19 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,19 unequal: No Solution
No 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: 19:[31, 11], Operations: ['56-54=2', '9+2=11']
Exploring Operation: 31*11=341, Resulting Numbers: [341]
341,19 unequal: No Solution
Exploring Operation: 31+11=42, Resulting Numbers: [42]
42,19 unequal: No Solution
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,19 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: 19:[9, 56, 23], Operations: ['54-31=23']
Exploring Operation: 23-9=14, Resulting Numbers: [56, 14]
Generated Node #0,2,0: 19:[56, 14] Operation: 23-9=14
Exploring Operation: 56-9=47, Resulting Numbers: [23, 47]
Generated Node #0,2,1: 19:[23, 47] Operation: 56-9=47
Exploring Operation: 9+56=65, Resulting Numbers: [23, 65]
Generated Node #0,2,2: 19:[23, 65] Operation: 9+56=65
Exploring Operation: 56-23=33, Resulting Numbers: [9, 33]
Generated Node #0,2,3: 19:[9, 33] Operation: 56-23=33
Moving to Node #0,2,3
Current State: 19:[9, 33], Operations: ['54-31=23', '56-23=33']
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Exploring Operation: 9+33=42, Resulting Numbers: [42]
42,19 unequal: No Solution
Exploring Operation: 9*33=297, Resulting Numbers: [297]
297,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[23, 47], Operations: ['54-31=23', '56-9=47']
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Exploring Operation: 23*47=1081, Resulting Numbers: [1081]
1081,19 unequal: No Solution
Exploring Operation: 23+47=70, Resulting Numbers: [70]
70,19 unequal: No Solution
Moving to Node #0,2,0
Current State: 19:[56, 14], Operations: ['54-31=23', '23-9=14']
Exploring Operation: 56/14=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,19 unequal: No Solution
Exploring Operation: 56+14=70, Resulting Numbers: [70]
70,19 unequal: No Solution
Exploring Operation: 56*14=784, Resulting Numbers: [784]
784,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[23, 65], Operations: ['54-31=23', '9+56=65']
Exploring Operation: 23*65=1495, Resulting Numbers: [1495]
1495,19 unequal: No Solution
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,19 unequal: No Solution
Exploring Operation: 23+65=88, Resulting Numbers: [88]
88,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[9, 54, 25], Operations: ['56-31=25']
Exploring Operation: 54-9=45, Resulting Numbers: [25, 45]
Generated Node #0,3,0: 19:[25, 45] Operation: 54-9=45
Exploring Operation: 25-9=16, Resulting Numbers: [54, 16]
Generated Node #0,3,1: 19:[54, 16] Operation: 25-9=16
Exploring Operation: 54/9=6, Resulting Numbers: [25, 6]
Generated Node #0,3,2: 19:[25, 6] Operation: 54/9=6
Exploring Operation: 54-25=29, Resulting Numbers: [9, 29]
Generated Node #0,3,3: 19:[9, 29] Operation: 54-25=29
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 19:[25, 6], Operations: ['56-31=25', '54/9=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[9, 54, 56, 31], Operations: []
Exploring Operation: 56-31=25, Resulting Numbers: [9, 54, 25]
Generated Node #0,3: 19:[9, 54, 25] Operation: 56-31=25
Moving to Node #0,3
Current State: 19:[9, 54, 25], Operations: ['56-31=25']
Exploring Operation: 54/9=6, Resulting Numbers: [25, 6]
Generated Node #0,3,2: 19:[25, 6] Operation: 54/9=6
Moving to Node #0,3,2
Current State: 19:[25, 6], Operations: ['56-31=25', '54/9=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.959201 | hs_4 | mult_heuristic |
[
86,
12,
10,
68
] | 12 | [
"86-10=76",
"68+76=144",
"144/12=12"
] | Current State: 12:[86, 12, 10, 68], Operations: []
Exploring Operation: 86-10=76, Resulting Numbers: [12, 68, 76]
Generated Node #2: [12, 68, 76] from Operation: 86-10=76
Current State: 12:[12, 68, 76], Operations: ['86-10=76']
Exploring Operation: 68+76=144, Resulting Numbers: [12, 144]
Generated Node #3: [12, 144] from Operation: 68+76=144
Current State: 12:[12, 144], Operations: ['86-10=76', '68+76=144']
Exploring Operation: 144/12=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[86, 12, 10, 68], Operations: []
Exploring Operation: 86-68=18, Resulting Numbers: [12, 10, 18]
Generated Node #0,0: 12:[12, 10, 18] Operation: 86-68=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[12, 10, 18], Operations: ['86-68=18']
Exploring Operation: 18-12=6, Resulting Numbers: [10, 6]
Generated Node #0,0,0: 12:[10, 6] Operation: 18-12=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[10, 6], Operations: ['86-68=18', '18-12=6']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
33,
25,
15,
18
] | 41 | [
"33-25=8",
"15+18=33",
"8+33=41"
] | Current State: 41:[33, 25, 15, 18], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [15, 18, 8]
Generated Node #2: [15, 18, 8] from Operation: 33-25=8
Current State: 41:[15, 18, 8], Operations: ['33-25=8']
Exploring Operation: 15+18=33, Resulting Numbers: [8, 33]
Generated Node #3: [8, 33] from Operation: 15+18=33
Current State: 41:[8, 33], Operations: ['33-25=8', '15+18=33']
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[33, 25, 15, 18], Operations: []
Exploring Operation: 15+18=33, Resulting Numbers: [33, 25, 33]
Generated Node #0,0: 41:[33, 25, 33] Operation: 15+18=33
Exploring Operation: 25+15=40, Resulting Numbers: [33, 18, 40]
Generated Node #0,1: 41:[33, 18, 40] Operation: 25+15=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[33, 25, 33], Operations: ['15+18=33']
Exploring Operation: 25+33=58, Resulting Numbers: [33, 58]
Generated Node #0,0,0: 41:[33, 58] Operation: 25+33=58
Exploring Operation: 33+25=58, Resulting Numbers: [33, 58]
Generated Node #0,0,1: 41:[33, 58] Operation: 33+25=58
Moving to Node #0,0,0
Current State: 41:[33, 58], Operations: ['15+18=33', '25+33=58']
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 33+58=91, Resulting Numbers: [91]
91,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[33, 58], Operations: ['15+18=33', '33+25=58']
Exploring Operation: 33+58=91, Resulting Numbers: [91]
91,41 unequal: No Solution
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[33, 18, 40], Operations: ['25+15=40']
Exploring Operation: 33+18=51, Resulting Numbers: [40, 51]
Generated Node #0,1,0: 41:[40, 51] Operation: 33+18=51
Exploring Operation: 18+40=58, Resulting Numbers: [33, 58]
Generated Node #0,1,1: 41:[33, 58] Operation: 18+40=58
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 41:[40, 51], Operations: ['25+15=40', '33+18=51']
Exploring Operation: 40+51=91, Resulting Numbers: [91]
91,41 unequal: No Solution
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,41 unequal: No Solution
No 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: 41:[33, 58], Operations: ['25+15=40', '18+40=58']
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 33+58=91, Resulting Numbers: [91]
91,41 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 |
[
31,
72,
7,
41
] | 38 | [
"31-7=24",
"72/24=3",
"41-3=38"
] | Current State: 38:[31, 72, 7, 41], Operations: []
Exploring Operation: 31-7=24, Resulting Numbers: [72, 41, 24]
Generated Node #2: [72, 41, 24] from Operation: 31-7=24
Current State: 38:[72, 41, 24], Operations: ['31-7=24']
Exploring Operation: 72/24=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 72/24=3
Current State: 38:[41, 3], Operations: ['31-7=24', '72/24=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[31, 72, 7, 41], Operations: []
Exploring Operation: 72-41=31, Resulting Numbers: [31, 7, 31]
Generated Node #0,0: 38:[31, 7, 31] Operation: 72-41=31
Exploring Operation: 31+7=38, Resulting Numbers: [72, 41, 38]
Generated Node #0,1: 38:[72, 41, 38] Operation: 31+7=38
Exploring Operation: 31-7=24, Resulting Numbers: [72, 41, 24]
Generated Node #0,2: 38:[72, 41, 24] Operation: 31-7=24
Exploring Operation: 72-7=65, Resulting Numbers: [31, 41, 65]
Generated Node #0,3: 38:[31, 41, 65] Operation: 72-7=65
Exploring Operation: 72-31=41, Resulting Numbers: [7, 41, 41]
Generated Node #0,4: 38:[7, 41, 41] Operation: 72-31=41
Moving to Node #0,4
Current State: 38:[7, 41, 41], Operations: ['72-31=41']
Exploring Operation: 41-7=34, Resulting Numbers: [41, 34]
Generated Node #0,4,0: 38:[41, 34] Operation: 41-7=34
Exploring Operation: 41-7=34, Resulting Numbers: [41, 34]
Generated Node #0,4,1: 38:[41, 34] Operation: 41-7=34
Exploring Operation: 7+41=48, Resulting Numbers: [41, 48]
Generated Node #0,4,2: 38:[41, 48] Operation: 7+41=48
Exploring Operation: 41/41=1, Resulting Numbers: [7, 1]
Generated Node #0,4,3: 38:[7, 1] Operation: 41/41=1
Exploring Operation: 41-41=0, Resulting Numbers: [7, 0]
Generated Node #0,4,4: 38:[7, 0] Operation: 41-41=0
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 38:[7, 1], Operations: ['72-31=41', '41/41=1']
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,38 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 #0,4,0
Current State: 38:[41, 34], Operations: ['72-31=41', '41-7=34']
Exploring Operation: 41*34=1394, Resulting Numbers: [1394]
1394,38 unequal: No Solution
Exploring Operation: 41-34=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 41+34=75, Resulting Numbers: [75]
75,38 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 #0,4,1
Current State: 38:[41, 34], Operations: ['72-31=41', '41-7=34']
Exploring Operation: 41-34=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 41+34=75, Resulting Numbers: [75]
75,38 unequal: No Solution
Exploring Operation: 41*34=1394, Resulting Numbers: [1394]
1394,38 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 #0,4,4
Current State: 38:[7, 0], Operations: ['72-31=41', '41-41=0']
Exploring Operation: 7-0=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 7+0=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 7*0=0, Resulting Numbers: [0]
0,38 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 #0,4,2
Current State: 38:[41, 48], Operations: ['72-31=41', '7+41=48']
Exploring Operation: 48-41=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,38 unequal: No Solution
Exploring Operation: 41*48=1968, Resulting Numbers: [1968]
1968,38 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:[31, 7, 31], Operations: ['72-41=31']
Exploring Operation: 31-7=24, Resulting Numbers: [31, 24]
Generated Node #0,0,0: 38:[31, 24] Operation: 31-7=24
Exploring Operation: 31+7=38, Resulting Numbers: [31, 38]
Generated Node #0,0,1: 38:[31, 38] Operation: 31+7=38
Exploring Operation: 7+31=38, Resulting Numbers: [31, 38]
Generated Node #0,0,2: 38:[31, 38] Operation: 7+31=38
Exploring Operation: 31/31=1, Resulting Numbers: [7, 1]
Generated Node #0,0,3: 38:[7, 1] Operation: 31/31=1
Exploring Operation: 31-31=0, Resulting Numbers: [7, 0]
Generated Node #0,0,4: 38:[7, 0] Operation: 31-31=0
Moving to Node #0,1
Current State: 38:[72, 41, 38], Operations: ['31+7=38']
Exploring Operation: 72-38=34, Resulting Numbers: [41, 34]
Generated Node #0,1,0: 38:[41, 34] Operation: 72-38=34
Exploring Operation: 41-38=3, Resulting Numbers: [72, 3]
Generated Node #0,1,1: 38:[72, 3] Operation: 41-38=3
Exploring Operation: 72+38=110, Resulting Numbers: [41, 110]
Generated Node #0,1,2: 38:[41, 110] Operation: 72+38=110
Exploring Operation: 72+41=113, Resulting Numbers: [38, 113]
Generated Node #0,1,3: 38:[38, 113] Operation: 72+41=113
Exploring Operation: 72-41=31, Resulting Numbers: [38, 31]
Generated Node #0,1,4: 38:[38, 31] Operation: 72-41=31
Moving to Node #0,3
Current State: 38:[31, 41, 65], Operations: ['72-7=65']
Exploring Operation: 65-31=34, Resulting Numbers: [41, 34]
Generated Node #0,3,0: 38:[41, 34] Operation: 65-31=34
Exploring Operation: 65-41=24, Resulting Numbers: [31, 24]
Generated Node #0,3,1: 38:[31, 24] Operation: 65-41=24
Exploring Operation: 41-31=10, Resulting Numbers: [65, 10]
Generated Node #0,3,2: 38:[65, 10] Operation: 41-31=10
Exploring Operation: 31+65=96, Resulting Numbers: [41, 96]
Generated Node #0,3,3: 38:[41, 96] Operation: 31+65=96
Exploring Operation: 31+41=72, Resulting Numbers: [65, 72]
Generated Node #0,3,4: 38:[65, 72] Operation: 31+41=72
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 38:[41, 34], Operations: ['72-7=65', '65-31=34']
Exploring Operation: 41+34=75, Resulting Numbers: [75]
75,38 unequal: No Solution
Exploring Operation: 41*34=1394, Resulting Numbers: [1394]
1394,38 unequal: No Solution
Exploring Operation: 41-34=7, Resulting Numbers: [7]
7,38 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 #0,3,1
Current State: 38:[31, 24], Operations: ['72-7=65', '65-41=24']
Exploring Operation: 31*24=744, Resulting Numbers: [744]
744,38 unequal: No Solution
Exploring Operation: 31+24=55, Resulting Numbers: [55]
55,38 unequal: No Solution
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,38 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 #0,3,2
Current State: 38:[65, 10], Operations: ['72-7=65', '41-31=10']
Exploring Operation: 65*10=650, Resulting Numbers: [650]
650,38 unequal: No Solution
Exploring Operation: 65+10=75, Resulting Numbers: [75]
75,38 unequal: No Solution
Exploring Operation: 65-10=55, Resulting Numbers: [55]
55,38 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 #0,3,3
Current State: 38:[41, 96], Operations: ['72-7=65', '31+65=96']
Exploring Operation: 41*96=3936, Resulting Numbers: [3936]
3936,38 unequal: No Solution
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,38 unequal: No Solution
Exploring Operation: 41+96=137, Resulting Numbers: [137]
137,38 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 #0,3,4
Current State: 38:[65, 72], Operations: ['72-7=65', '31+41=72']
Exploring Operation: 65*72=4680, Resulting Numbers: [4680]
4680,38 unequal: No Solution
Exploring Operation: 72-65=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 65+72=137, Resulting Numbers: [137]
137,38 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: 38:[72, 41, 24], Operations: ['31-7=24']
Exploring Operation: 41-24=17, Resulting Numbers: [72, 17]
Generated Node #0,2,0: 38:[72, 17] Operation: 41-24=17
Exploring Operation: 72-41=31, Resulting Numbers: [24, 31]
Generated Node #0,2,1: 38:[24, 31] Operation: 72-41=31
Exploring Operation: 72-24=48, Resulting Numbers: [41, 48]
Generated Node #0,2,2: 38:[41, 48] Operation: 72-24=48
Exploring Operation: 72+24=96, Resulting Numbers: [41, 96]
Generated Node #0,2,3: 38:[41, 96] Operation: 72+24=96
Exploring Operation: 72/24=3, Resulting Numbers: [41, 3]
Generated Node #0,2,4: 38:[41, 3] Operation: 72/24=3
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 38:[41, 3], Operations: ['31-7=24', '72/24=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[31, 72, 7, 41], Operations: []
Exploring Operation: 31-7=24, Resulting Numbers: [72, 41, 24]
Generated Node #0,2: 38:[72, 41, 24] Operation: 31-7=24
Moving to Node #0,2
Current State: 38:[72, 41, 24], Operations: ['31-7=24']
Exploring Operation: 72/24=3, Resulting Numbers: [41, 3]
Generated Node #0,2,4: 38:[41, 3] Operation: 72/24=3
Moving to Node #0,2,4
Current State: 38:[41, 3], Operations: ['31-7=24', '72/24=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.942708 | hs_5 | sum_heuristic |
[
20,
52,
69,
65
] | 100 | [
"52*65=3380",
"3380/20=169",
"169-69=100"
] | Current State: 100:[20, 52, 69, 65], Operations: []
Exploring Operation: 52*65=3380, Resulting Numbers: [20, 69, 3380]
Generated Node #2: [20, 69, 3380] from Operation: 52*65=3380
Current State: 100:[20, 69, 3380], Operations: ['52*65=3380']
Exploring Operation: 3380/20=169, Resulting Numbers: [69, 169]
Generated Node #3: [69, 169] from Operation: 3380/20=169
Current State: 100:[69, 169], Operations: ['52*65=3380', '3380/20=169']
Exploring Operation: 169-69=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[20, 52, 69, 65], Operations: []
Exploring Operation: 69-20=49, Resulting Numbers: [52, 65, 49]
Generated Node #0,0: 100:[52, 65, 49] Operation: 69-20=49
Exploring Operation: 69-52=17, Resulting Numbers: [20, 65, 17]
Generated Node #0,1: 100:[20, 65, 17] Operation: 69-52=17
Exploring Operation: 69-65=4, Resulting Numbers: [20, 52, 4]
Generated Node #0,2: 100:[20, 52, 4] Operation: 69-65=4
Moving to Node #0,2
Current State: 100:[20, 52, 4], Operations: ['69-65=4']
Exploring Operation: 20+4=24, Resulting Numbers: [52, 24]
Generated Node #0,2,0: 100:[52, 24] Operation: 20+4=24
Exploring Operation: 52-4=48, Resulting Numbers: [20, 48]
Generated Node #0,2,1: 100:[20, 48] Operation: 52-4=48
Exploring Operation: 20/4=5, Resulting Numbers: [52, 5]
Generated Node #0,2,2: 100:[52, 5] Operation: 20/4=5
Moving to Node #0,0
Current State: 100:[52, 65, 49], Operations: ['69-20=49']
Exploring Operation: 52+49=101, Resulting Numbers: [65, 101]
Generated Node #0,0,0: 100:[65, 101] Operation: 52+49=101
Exploring Operation: 65-52=13, Resulting Numbers: [49, 13]
Generated Node #0,0,1: 100:[49, 13] Operation: 65-52=13
Exploring Operation: 65-49=16, Resulting Numbers: [52, 16]
Generated Node #0,0,2: 100:[52, 16] Operation: 65-49=16
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 100:[49, 13], Operations: ['69-20=49', '65-52=13']
Exploring Operation: 49+13=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 49*13=637, Resulting Numbers: [637]
637,100 unequal: No Solution
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 100:[52, 16], Operations: ['69-20=49', '65-49=16']
Exploring Operation: 52*16=832, Resulting Numbers: [832]
832,100 unequal: No Solution
Exploring Operation: 52+16=68, Resulting Numbers: [68]
68,100 unequal: No Solution
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[65, 101], Operations: ['69-20=49', '52+49=101']
Exploring Operation: 65+101=166, Resulting Numbers: [166]
166,100 unequal: No Solution
Exploring Operation: 65*101=6565, Resulting Numbers: [6565]
6565,100 unequal: No Solution
Exploring Operation: 101-65=36, Resulting Numbers: [36]
36,100 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: 100:[20, 65, 17], Operations: ['69-52=17']
Exploring Operation: 65-20=45, Resulting Numbers: [17, 45]
Generated Node #0,1,0: 100:[17, 45] Operation: 65-20=45
Exploring Operation: 65-17=48, Resulting Numbers: [20, 48]
Generated Node #0,1,1: 100:[20, 48] Operation: 65-17=48
Exploring Operation: 20-17=3, Resulting Numbers: [65, 3]
Generated Node #0,1,2: 100:[65, 3] Operation: 20-17=3
Moving to Node #0,2,1
Current State: 100:[20, 48], Operations: ['69-65=4', '52-4=48']
Exploring Operation: 20*48=960, Resulting Numbers: [960]
960,100 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,100 unequal: No Solution
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[52, 5], Operations: ['69-65=4', '20/4=5']
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,100 unequal: No Solution
Exploring Operation: 52*5=260, Resulting Numbers: [260]
260,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[20, 48], Operations: ['69-52=17', '65-17=48']
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,100 unequal: No Solution
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,100 unequal: No Solution
Exploring Operation: 20*48=960, Resulting Numbers: [960]
960,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[52, 24], Operations: ['69-65=4', '20+4=24']
Exploring Operation: 52*24=1248, Resulting Numbers: [1248]
1248,100 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,100 unequal: No Solution
Exploring Operation: 52+24=76, Resulting Numbers: [76]
76,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[17, 45], Operations: ['69-52=17', '65-20=45']
Exploring Operation: 17*45=765, Resulting Numbers: [765]
765,100 unequal: No Solution
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,100 unequal: No Solution
Exploring Operation: 17+45=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[65, 3], Operations: ['69-52=17', '20-17=3']
Exploring Operation: 65*3=195, Resulting Numbers: [195]
195,100 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,100 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
42,
78,
96,
33
] | 32 | [
"78-42=36",
"36-33=3",
"96/3=32"
] | Current State: 32:[42, 78, 96, 33], Operations: []
Exploring Operation: 78-42=36, Resulting Numbers: [96, 33, 36]
Generated Node #2: [96, 33, 36] from Operation: 78-42=36
Current State: 32:[96, 33, 36], Operations: ['78-42=36']
Exploring Operation: 36-33=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 36-33=3
Current State: 32:[96, 3], Operations: ['78-42=36', '36-33=3']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[42, 78, 96, 33], Operations: []
Exploring Operation: 78-33=45, Resulting Numbers: [42, 96, 45]
Generated Node #0,0: 32:[42, 96, 45] Operation: 78-33=45
Exploring Operation: 78-42=36, Resulting Numbers: [96, 33, 36]
Generated Node #0,1: 32:[96, 33, 36] Operation: 78-42=36
Exploring Operation: 96-78=18, Resulting Numbers: [42, 33, 18]
Generated Node #0,2: 32:[42, 33, 18] Operation: 96-78=18
Exploring Operation: 96-33=63, Resulting Numbers: [42, 78, 63]
Generated Node #0,3: 32:[42, 78, 63] Operation: 96-33=63
Exploring Operation: 96-42=54, Resulting Numbers: [78, 33, 54]
Generated Node #0,4: 32:[78, 33, 54] Operation: 96-42=54
Moving to Node #0,2
Current State: 32:[42, 33, 18], Operations: ['96-78=18']
Exploring Operation: 33+18=51, Resulting Numbers: [42, 51]
Generated Node #0,2,0: 32:[42, 51] Operation: 33+18=51
Exploring Operation: 33-18=15, Resulting Numbers: [42, 15]
Generated Node #0,2,1: 32:[42, 15] Operation: 33-18=15
Exploring Operation: 42+18=60, Resulting Numbers: [33, 60]
Generated Node #0,2,2: 32:[33, 60] Operation: 42+18=60
Exploring Operation: 42-33=9, Resulting Numbers: [18, 9]
Generated Node #0,2,3: 32:[18, 9] Operation: 42-33=9
Exploring Operation: 42-18=24, Resulting Numbers: [33, 24]
Generated Node #0,2,4: 32:[33, 24] Operation: 42-18=24
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 32:[18, 9], Operations: ['96-78=18', '42-33=9']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 18*9=162, Resulting Numbers: [162]
162,32 unequal: No Solution
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,32 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 32:[33, 24], Operations: ['96-78=18', '42-18=24']
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 33*24=792, Resulting Numbers: [792]
792,32 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 32:[42, 15], Operations: ['96-78=18', '33-18=15']
Exploring Operation: 42+15=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 42*15=630, Resulting Numbers: [630]
630,32 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 32:[42, 51], Operations: ['96-78=18', '33+18=51']
Exploring Operation: 51-42=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 42*51=2142, Resulting Numbers: [2142]
2142,32 unequal: No Solution
Exploring Operation: 42+51=93, Resulting Numbers: [93]
93,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 32:[33, 60], Operations: ['96-78=18', '42+18=60']
Exploring Operation: 33+60=93, Resulting Numbers: [93]
93,32 unequal: No Solution
Exploring Operation: 33*60=1980, Resulting Numbers: [1980]
1980,32 unequal: No Solution
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,32 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: 32:[78, 33, 54], Operations: ['96-42=54']
Exploring Operation: 54-33=21, Resulting Numbers: [78, 21]
Generated Node #0,4,0: 32:[78, 21] Operation: 54-33=21
Exploring Operation: 78+33=111, Resulting Numbers: [54, 111]
Generated Node #0,4,1: 32:[54, 111] Operation: 78+33=111
Exploring Operation: 78-33=45, Resulting Numbers: [54, 45]
Generated Node #0,4,2: 32:[54, 45] Operation: 78-33=45
Exploring Operation: 78-54=24, Resulting Numbers: [33, 24]
Generated Node #0,4,3: 32:[33, 24] Operation: 78-54=24
Exploring Operation: 78+54=132, Resulting Numbers: [33, 132]
Generated Node #0,4,4: 32:[33, 132] Operation: 78+54=132
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 32:[33, 24], Operations: ['96-42=54', '78-54=24']
Exploring Operation: 33*24=792, Resulting Numbers: [792]
792,32 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 32:[54, 45], Operations: ['96-42=54', '78-33=45']
Exploring Operation: 54*45=2430, Resulting Numbers: [2430]
2430,32 unequal: No Solution
Exploring Operation: 54-45=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 54+45=99, Resulting Numbers: [99]
99,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 32:[78, 21], Operations: ['96-42=54', '54-33=21']
Exploring Operation: 78-21=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 78*21=1638, Resulting Numbers: [1638]
1638,32 unequal: No Solution
Exploring Operation: 78+21=99, Resulting Numbers: [99]
99,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 32:[54, 111], Operations: ['96-42=54', '78+33=111']
Exploring Operation: 54*111=5994, Resulting Numbers: [5994]
5994,32 unequal: No Solution
Exploring Operation: 54+111=165, Resulting Numbers: [165]
165,32 unequal: No Solution
Exploring Operation: 111-54=57, Resulting Numbers: [57]
57,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 32:[33, 132], Operations: ['96-42=54', '78+54=132']
Exploring Operation: 33+132=165, Resulting Numbers: [165]
165,32 unequal: No Solution
Exploring Operation: 132/33=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 33*132=4356, Resulting Numbers: [4356]
4356,32 unequal: No Solution
Exploring Operation: 132-33=99, Resulting Numbers: [99]
99,32 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: 32:[96, 33, 36], Operations: ['78-42=36']
Exploring Operation: 96+36=132, Resulting Numbers: [33, 132]
Generated Node #0,1,0: 32:[33, 132] Operation: 96+36=132
Exploring Operation: 96+33=129, Resulting Numbers: [36, 129]
Generated Node #0,1,1: 32:[36, 129] Operation: 96+33=129
Exploring Operation: 96-36=60, Resulting Numbers: [33, 60]
Generated Node #0,1,2: 32:[33, 60] Operation: 96-36=60
Exploring Operation: 96-33=63, Resulting Numbers: [36, 63]
Generated Node #0,1,3: 32:[36, 63] Operation: 96-33=63
Exploring Operation: 36-33=3, Resulting Numbers: [96, 3]
Generated Node #0,1,4: 32:[96, 3] Operation: 36-33=3
Moving to Node #0,0
Current State: 32:[42, 96, 45], Operations: ['78-33=45']
Exploring Operation: 42+96=138, Resulting Numbers: [45, 138]
Generated Node #0,0,0: 32:[45, 138] Operation: 42+96=138
Exploring Operation: 42+45=87, Resulting Numbers: [96, 87]
Generated Node #0,0,1: 32:[96, 87] Operation: 42+45=87
Exploring Operation: 96-42=54, Resulting Numbers: [45, 54]
Generated Node #0,0,2: 32:[45, 54] Operation: 96-42=54
Exploring Operation: 96-45=51, Resulting Numbers: [42, 51]
Generated Node #0,0,3: 32:[42, 51] Operation: 96-45=51
Exploring Operation: 45-42=3, Resulting Numbers: [96, 3]
Generated Node #0,0,4: 32:[96, 3] Operation: 45-42=3
Moving to Node #0,3
Current State: 32:[42, 78, 63], Operations: ['96-33=63']
Exploring Operation: 78-63=15, Resulting Numbers: [42, 15]
Generated Node #0,3,0: 32:[42, 15] Operation: 78-63=15
Exploring Operation: 63-42=21, Resulting Numbers: [78, 21]
Generated Node #0,3,1: 32:[78, 21] Operation: 63-42=21
Exploring Operation: 42+63=105, Resulting Numbers: [78, 105]
Generated Node #0,3,2: 32:[78, 105] Operation: 42+63=105
Exploring Operation: 78-42=36, Resulting Numbers: [63, 36]
Generated Node #0,3,3: 32:[63, 36] Operation: 78-42=36
Exploring Operation: 42+78=120, Resulting Numbers: [63, 120]
Generated Node #0,3,4: 32:[63, 120] Operation: 42+78=120
Moving to Node #0,3,0
Current State: 32:[42, 15], Operations: ['96-33=63', '78-63=15']
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,32 unequal: No Solution
Exploring Operation: 42*15=630, Resulting Numbers: [630]
630,32 unequal: No Solution
Exploring Operation: 42+15=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Moving to Node #0,0,3
Current State: 32:[42, 51], Operations: ['78-33=45', '96-45=51']
Exploring Operation: 42*51=2142, Resulting Numbers: [2142]
2142,32 unequal: No Solution
Exploring Operation: 51-42=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 42+51=93, Resulting Numbers: [93]
93,32 unequal: No Solution
Moving to Node #0,1,2
Current State: 32:[33, 60], Operations: ['78-42=36', '96-36=60']
Exploring Operation: 33*60=1980, Resulting Numbers: [1980]
1980,32 unequal: No Solution
Exploring Operation: 33+60=93, Resulting Numbers: [93]
93,32 unequal: No Solution
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,32 unequal: No Solution
Moving to Node #0,0,2
Current State: 32:[45, 54], Operations: ['78-33=45', '96-42=54']
Exploring Operation: 45*54=2430, Resulting Numbers: [2430]
2430,32 unequal: No Solution
Exploring Operation: 54-45=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 45+54=99, Resulting Numbers: [99]
99,32 unequal: No Solution
Moving to Node #0,3,3
Current State: 32:[63, 36], Operations: ['96-33=63', '78-42=36']
Exploring Operation: 63-36=27, Resulting Numbers: [27]
27,32 unequal: No Solution
Exploring Operation: 63*36=2268, Resulting Numbers: [2268]
2268,32 unequal: No Solution
Exploring Operation: 63+36=99, Resulting Numbers: [99]
99,32 unequal: No Solution
Moving to Node #0,1,3
Current State: 32:[36, 63], Operations: ['78-42=36', '96-33=63']
Exploring Operation: 36+63=99, Resulting Numbers: [99]
99,32 unequal: No Solution
Exploring Operation: 63-36=27, Resulting Numbers: [27]
27,32 unequal: No Solution
Exploring Operation: 36*63=2268, Resulting Numbers: [2268]
2268,32 unequal: No Solution
Moving to Node #0,3,1
Current State: 32:[78, 21], Operations: ['96-33=63', '63-42=21']
Exploring Operation: 78*21=1638, Resulting Numbers: [1638]
1638,32 unequal: No Solution
Exploring Operation: 78-21=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 78+21=99, Resulting Numbers: [99]
99,32 unequal: No Solution
Moving to Node #0,1,4
Current State: 32:[96, 3], Operations: ['78-42=36', '36-33=3']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[42, 78, 96, 33], Operations: []
Exploring Operation: 78-42=36, Resulting Numbers: [96, 33, 36]
Generated Node #0,1: 32:[96, 33, 36] Operation: 78-42=36
Moving to Node #0,1
Current State: 32:[96, 33, 36], Operations: ['78-42=36']
Exploring Operation: 36-33=3, Resulting Numbers: [96, 3]
Generated Node #0,1,4: 32:[96, 3] Operation: 36-33=3
Moving to Node #0,1,4
Current State: 32:[96, 3], Operations: ['78-42=36', '36-33=3']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.923611 | hs_5 | mult_heuristic |
[
49,
71,
28,
8
] | 42 | [
"71-49=22",
"28-8=20",
"22+20=42"
] | Current State: 42:[49, 71, 28, 8], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [28, 8, 22]
Generated Node #2: [28, 8, 22] from Operation: 71-49=22
Current State: 42:[28, 8, 22], Operations: ['71-49=22']
Exploring Operation: 28-8=20, Resulting Numbers: [22, 20]
Generated Node #3: [22, 20] from Operation: 28-8=20
Current State: 42:[22, 20], Operations: ['71-49=22', '28-8=20']
Exploring Operation: 22+20=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[49, 71, 28, 8], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [28, 8, 22]
Generated Node #0,0: 42:[28, 8, 22] Operation: 71-49=22
Exploring Operation: 71-28=43, Resulting Numbers: [49, 8, 43]
Generated Node #0,1: 42:[49, 8, 43] Operation: 71-28=43
Exploring Operation: 49-28=21, Resulting Numbers: [71, 8, 21]
Generated Node #0,2: 42:[71, 8, 21] Operation: 49-28=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[28, 8, 22], Operations: ['71-49=22']
Exploring Operation: 28+8=36, Resulting Numbers: [22, 36]
Generated Node #0,0,0: 42:[22, 36] Operation: 28+8=36
Exploring Operation: 28-8=20, Resulting Numbers: [22, 20]
Generated Node #0,0,1: 42:[22, 20] Operation: 28-8=20
Exploring Operation: 28-22=6, Resulting Numbers: [8, 6]
Generated Node #0,0,2: 42:[8, 6] Operation: 28-22=6
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 42:[8, 6], Operations: ['71-49=22', '28-22=6']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,42 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 42:[22, 20], Operations: ['71-49=22', '28-8=20']
Exploring Operation: 22*20=440, Resulting Numbers: [440]
440,42 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 22+20=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[49, 71, 28, 8], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [28, 8, 22]
Generated Node #0,0: 42:[28, 8, 22] Operation: 71-49=22
Moving to Node #0,0
Current State: 42:[28, 8, 22], Operations: ['71-49=22']
Exploring Operation: 28-8=20, Resulting Numbers: [22, 20]
Generated Node #0,0,1: 42:[22, 20] Operation: 28-8=20
Moving to Node #0,0,1
Current State: 42:[22, 20], Operations: ['71-49=22', '28-8=20']
Exploring Operation: 22+20=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
55,
51,
78,
41
] | 69 | [
"55+51=106",
"78-41=37",
"106-37=69"
] | Current State: 69:[55, 51, 78, 41], Operations: []
Exploring Operation: 55+51=106, Resulting Numbers: [78, 41, 106]
Generated Node #2: [78, 41, 106] from Operation: 55+51=106
Current State: 69:[78, 41, 106], Operations: ['55+51=106']
Exploring Operation: 78-41=37, Resulting Numbers: [106, 37]
Generated Node #3: [106, 37] from Operation: 78-41=37
Current State: 69:[106, 37], Operations: ['55+51=106', '78-41=37']
Exploring Operation: 106-37=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[55, 51, 78, 41], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [78, 41, 4]
Generated Node #0,0: 69:[78, 41, 4] Operation: 55-51=4
Moving to Node #0,0
Current State: 69:[78, 41, 4], Operations: ['55-51=4']
Exploring Operation: 78-41=37, Resulting Numbers: [4, 37]
Generated Node #0,0,0: 69:[4, 37] Operation: 78-41=37
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[4, 37], Operations: ['55-51=4', '78-41=37']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,69 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 |
[
55,
4,
89,
20
] | 78 | [
"55*4=220",
"220/20=11",
"89-11=78"
] | Current State: 78:[55, 4, 89, 20], Operations: []
Exploring Operation: 55*4=220, Resulting Numbers: [89, 20, 220]
Generated Node #2: [89, 20, 220] from Operation: 55*4=220
Current State: 78:[89, 20, 220], Operations: ['55*4=220']
Exploring Operation: 220/20=11, Resulting Numbers: [89, 11]
Generated Node #3: [89, 11] from Operation: 220/20=11
Current State: 78:[89, 11], Operations: ['55*4=220', '220/20=11']
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[55, 4, 89, 20], Operations: []
Exploring Operation: 55-20=35, Resulting Numbers: [4, 89, 35]
Generated Node #0,0: 78:[4, 89, 35] Operation: 55-20=35
Exploring Operation: 55+20=75, Resulting Numbers: [4, 89, 75]
Generated Node #0,1: 78:[4, 89, 75] Operation: 55+20=75
Exploring Operation: 89-55=34, Resulting Numbers: [4, 20, 34]
Generated Node #0,2: 78:[4, 20, 34] Operation: 89-55=34
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[4, 20, 34], Operations: ['89-55=34']
Exploring Operation: 4+20=24, Resulting Numbers: [34, 24]
Generated Node #0,2,0: 78:[34, 24] Operation: 4+20=24
Exploring Operation: 20/4=5, Resulting Numbers: [34, 5]
Generated Node #0,2,1: 78:[34, 5] Operation: 20/4=5
Exploring Operation: 34-20=14, Resulting Numbers: [4, 14]
Generated Node #0,2,2: 78:[4, 14] Operation: 34-20=14
Moving to Node #0,2,2
Current State: 78:[4, 14], Operations: ['89-55=34', '34-20=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,78 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Moving to Node #0,2,1
Current State: 78:[34, 5], Operations: ['89-55=34', '20/4=5']
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,78 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,78 unequal: No Solution
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Moving to Node #0,2,0
Current State: 78:[34, 24], Operations: ['89-55=34', '4+20=24']
Exploring Operation: 34*24=816, Resulting Numbers: [816]
816,78 unequal: No Solution
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 34+24=58, Resulting Numbers: [58]
58,78 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 #0,1
Current State: 78:[4, 89, 75], Operations: ['55+20=75']
Exploring Operation: 89-75=14, Resulting Numbers: [4, 14]
Generated Node #0,1,0: 78:[4, 14] Operation: 89-75=14
Exploring Operation: 4+75=79, Resulting Numbers: [89, 79]
Generated Node #0,1,1: 78:[89, 79] Operation: 4+75=79
Exploring Operation: 89-4=85, Resulting Numbers: [75, 85]
Generated Node #0,1,2: 78:[75, 85] Operation: 89-4=85
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[4, 14], Operations: ['55+20=75', '89-75=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,78 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 78:[75, 85], Operations: ['55+20=75', '89-4=85']
Exploring Operation: 75+85=160, Resulting Numbers: [160]
160,78 unequal: No Solution
Exploring Operation: 85-75=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 75*85=6375, Resulting Numbers: [6375]
6375,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 78:[89, 79], Operations: ['55+20=75', '4+75=79']
Exploring Operation: 89+79=168, Resulting Numbers: [168]
168,78 unequal: No Solution
Exploring Operation: 89-79=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 89*79=7031, Resulting Numbers: [7031]
7031,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[4, 89, 35], Operations: ['55-20=35']
Exploring Operation: 89-4=85, Resulting Numbers: [35, 85]
Generated Node #0,0,0: 78:[35, 85] Operation: 89-4=85
Exploring Operation: 35-4=31, Resulting Numbers: [89, 31]
Generated Node #0,0,1: 78:[89, 31] Operation: 35-4=31
Exploring Operation: 4+35=39, Resulting Numbers: [89, 39]
Generated Node #0,0,2: 78:[89, 39] Operation: 4+35=39
Moving to Node #0,0,0
Current State: 78:[35, 85], Operations: ['55-20=35', '89-4=85']
Exploring Operation: 35+85=120, Resulting Numbers: [120]
120,78 unequal: No Solution
Exploring Operation: 35*85=2975, Resulting Numbers: [2975]
2975,78 unequal: No Solution
Exploring Operation: 85-35=50, Resulting Numbers: [50]
50,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[89, 39], Operations: ['55-20=35', '4+35=39']
Exploring Operation: 89*39=3471, Resulting Numbers: [3471]
3471,78 unequal: No Solution
Exploring Operation: 89-39=50, Resulting Numbers: [50]
50,78 unequal: No Solution
Exploring Operation: 89+39=128, Resulting Numbers: [128]
128,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[89, 31], Operations: ['55-20=35', '35-4=31']
Exploring Operation: 89-31=58, Resulting Numbers: [58]
58,78 unequal: No Solution
Exploring Operation: 89*31=2759, Resulting Numbers: [2759]
2759,78 unequal: No Solution
Exploring Operation: 89+31=120, Resulting Numbers: [120]
120,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
58,
9,
30,
41
] | 38 | [
"58-9=49",
"41-30=11",
"49-11=38"
] | Current State: 38:[58, 9, 30, 41], Operations: []
Exploring Operation: 58-9=49, Resulting Numbers: [30, 41, 49]
Generated Node #2: [30, 41, 49] from Operation: 58-9=49
Current State: 38:[30, 41, 49], Operations: ['58-9=49']
Exploring Operation: 41-30=11, Resulting Numbers: [49, 11]
Generated Node #3: [49, 11] from Operation: 41-30=11
Current State: 38:[49, 11], Operations: ['58-9=49', '41-30=11']
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[58, 9, 30, 41], Operations: []
Exploring Operation: 58-41=17, Resulting Numbers: [9, 30, 17]
Generated Node #0,0: 38:[9, 30, 17] Operation: 58-41=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[9, 30, 17], Operations: ['58-41=17']
Exploring Operation: 9+30=39, Resulting Numbers: [17, 39]
Generated Node #0,0,0: 38:[17, 39] Operation: 9+30=39
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[17, 39], Operations: ['58-41=17', '9+30=39']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
62,
36,
5,
70
] | 76 | [
"70-62=8",
"5*8=40",
"36+40=76"
] | Current State: 76:[62, 36, 5, 70], Operations: []
Exploring Operation: 70-62=8, Resulting Numbers: [36, 5, 8]
Generated Node #2: [36, 5, 8] from Operation: 70-62=8
Current State: 76:[36, 5, 8], Operations: ['70-62=8']
Exploring Operation: 5*8=40, Resulting Numbers: [36, 40]
Generated Node #3: [36, 40] from Operation: 5*8=40
Current State: 76:[36, 40], Operations: ['70-62=8', '5*8=40']
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[62, 36, 5, 70], Operations: []
Exploring Operation: 70-62=8, Resulting Numbers: [36, 5, 8]
Generated Node #0,0: 76:[36, 5, 8] Operation: 70-62=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[36, 5, 8], Operations: ['70-62=8']
Exploring Operation: 8-5=3, Resulting Numbers: [36, 3]
Generated Node #0,0,0: 76:[36, 3] Operation: 8-5=3
Moving to Node #0,0,0
Current State: 76:[36, 3], Operations: ['70-62=8', '8-5=3']
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,76 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 |
[
46,
69,
41,
17
] | 87 | [
"41+17=58",
"69*58=4002",
"4002/46=87"
] | Current State: 87:[46, 69, 41, 17], Operations: []
Exploring Operation: 41+17=58, Resulting Numbers: [46, 69, 58]
Generated Node #2: [46, 69, 58] from Operation: 41+17=58
Current State: 87:[46, 69, 58], Operations: ['41+17=58']
Exploring Operation: 69*58=4002, Resulting Numbers: [46, 4002]
Generated Node #3: [46, 4002] from Operation: 69*58=4002
Current State: 87:[46, 4002], Operations: ['41+17=58', '69*58=4002']
Exploring Operation: 4002/46=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[46, 69, 41, 17], Operations: []
Exploring Operation: 46+41=87, Resulting Numbers: [69, 17, 87]
Generated Node #0,0: 87:[69, 17, 87] Operation: 46+41=87
Exploring Operation: 69-46=23, Resulting Numbers: [41, 17, 23]
Generated Node #0,1: 87:[41, 17, 23] Operation: 69-46=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[69, 17, 87], Operations: ['46+41=87']
Exploring Operation: 69+17=86, Resulting Numbers: [87, 86]
Generated Node #0,0,0: 87:[87, 86] Operation: 69+17=86
Exploring Operation: 69-17=52, Resulting Numbers: [87, 52]
Generated Node #0,0,1: 87:[87, 52] Operation: 69-17=52
Moving to Node #0,0,0
Current State: 87:[87, 86], Operations: ['46+41=87', '69+17=86']
Exploring Operation: 87+86=173, Resulting Numbers: [173]
173,87 unequal: No Solution
Exploring Operation: 87-86=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[87, 52], Operations: ['46+41=87', '69-17=52']
Exploring Operation: 87+52=139, Resulting Numbers: [139]
139,87 unequal: No Solution
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[41, 17, 23], Operations: ['69-46=23']
Exploring Operation: 23-17=6, Resulting Numbers: [41, 6]
Generated Node #0,1,0: 87:[41, 6] Operation: 23-17=6
Exploring Operation: 41-17=24, Resulting Numbers: [23, 24]
Generated Node #0,1,1: 87:[23, 24] Operation: 41-17=24
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[23, 24], Operations: ['69-46=23', '41-17=24']
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,87 unequal: No Solution
No 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: 87:[41, 6], Operations: ['69-46=23', '23-17=6']
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,87 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,87 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 |
[
31,
36,
29,
78
] | 54 | [
"36-31=5",
"78-29=49",
"5+49=54"
] | Current State: 54:[31, 36, 29, 78], Operations: []
Exploring Operation: 36-31=5, Resulting Numbers: [29, 78, 5]
Generated Node #2: [29, 78, 5] from Operation: 36-31=5
Current State: 54:[29, 78, 5], Operations: ['36-31=5']
Exploring Operation: 78-29=49, Resulting Numbers: [5, 49]
Generated Node #3: [5, 49] from Operation: 78-29=49
Current State: 54:[5, 49], Operations: ['36-31=5', '78-29=49']
Exploring Operation: 5+49=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[31, 36, 29, 78], Operations: []
Exploring Operation: 78-29=49, Resulting Numbers: [31, 36, 49]
Generated Node #0,0: 54:[31, 36, 49] Operation: 78-29=49
Exploring Operation: 78-36=42, Resulting Numbers: [31, 29, 42]
Generated Node #0,1: 54:[31, 29, 42] Operation: 78-36=42
Exploring Operation: 78-31=47, Resulting Numbers: [36, 29, 47]
Generated Node #0,2: 54:[36, 29, 47] Operation: 78-31=47
Moving to Node #0,0
Current State: 54:[31, 36, 49], Operations: ['78-29=49']
Exploring Operation: 36-31=5, Resulting Numbers: [49, 5]
Generated Node #0,0,0: 54:[49, 5] Operation: 36-31=5
Exploring Operation: 49-36=13, Resulting Numbers: [31, 13]
Generated Node #0,0,1: 54:[31, 13] Operation: 49-36=13
Exploring Operation: 49-31=18, Resulting Numbers: [36, 18]
Generated Node #0,0,2: 54:[36, 18] Operation: 49-31=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[49, 5], Operations: ['78-29=49', '36-31=5']
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,54 unequal: No Solution
Exploring Operation: 49*5=245, Resulting Numbers: [245]
245,54 unequal: No Solution
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[31, 36, 29, 78], Operations: []
Exploring Operation: 78-29=49, Resulting Numbers: [31, 36, 49]
Generated Node #0,0: 54:[31, 36, 49] Operation: 78-29=49
Moving to Node #0,0
Current State: 54:[31, 36, 49], Operations: ['78-29=49']
Exploring Operation: 36-31=5, Resulting Numbers: [49, 5]
Generated Node #0,0,0: 54:[49, 5] Operation: 36-31=5
Moving to Node #0,0,0
Current State: 54:[49, 5], Operations: ['78-29=49', '36-31=5']
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
23,
23,
62,
64
] | 62 | [
"23-23=0",
"64*0=0",
"62+0=62"
] | Current State: 62:[23, 23, 62, 64], Operations: []
Exploring Operation: 23-23=0, Resulting Numbers: [62, 64, 0]
Generated Node #2: [62, 64, 0] from Operation: 23-23=0
Current State: 62:[62, 64, 0], Operations: ['23-23=0']
Exploring Operation: 64*0=0, Resulting Numbers: [62, 0]
Generated Node #3: [62, 0] from Operation: 64*0=0
Current State: 62:[62, 0], Operations: ['23-23=0', '64*0=0']
Exploring Operation: 62+0=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[23, 23, 62, 64], Operations: []
Exploring Operation: 23/23=1, Resulting Numbers: [62, 64, 1]
Generated Node #0,0: 62:[62, 64, 1] Operation: 23/23=1
Exploring Operation: 64-62=2, Resulting Numbers: [23, 23, 2]
Generated Node #0,1: 62:[23, 23, 2] Operation: 64-62=2
Exploring Operation: 23-23=0, Resulting Numbers: [62, 64, 0]
Generated Node #0,2: 62:[62, 64, 0] Operation: 23-23=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[62, 64, 1], Operations: ['23/23=1']
Exploring Operation: 62*1=62, Resulting Numbers: [64, 62]
Generated Node #0,0,0: 62:[64, 62] Operation: 62*1=62
Exploring Operation: 64-62=2, Resulting Numbers: [1, 2]
Generated Node #0,0,1: 62:[1, 2] Operation: 64-62=2
Exploring Operation: 64-1=63, Resulting Numbers: [62, 63]
Generated Node #0,0,2: 62:[62, 63] Operation: 64-1=63
Moving to Node #0,0,1
Current State: 62:[1, 2], Operations: ['23/23=1', '64-62=2']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Moving to Node #0,0,2
Current State: 62:[62, 63], Operations: ['23/23=1', '64-1=63']
Exploring Operation: 63-62=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 62+63=125, Resulting Numbers: [125]
125,62 unequal: No Solution
Exploring Operation: 62*63=3906, Resulting Numbers: [3906]
3906,62 unequal: No Solution
Moving to Node #0,0,0
Current State: 62:[64, 62], Operations: ['23/23=1', '62*1=62']
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 64*62=3968, Resulting Numbers: [3968]
3968,62 unequal: No Solution
Exploring Operation: 64+62=126, Resulting Numbers: [126]
126,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[62, 64, 0], Operations: ['23-23=0']
Exploring Operation: 62+0=62, Resulting Numbers: [64, 62]
Generated Node #0,2,0: 62:[64, 62] Operation: 62+0=62
Exploring Operation: 64-62=2, Resulting Numbers: [0, 2]
Generated Node #0,2,1: 62:[0, 2] Operation: 64-62=2
Exploring Operation: 62-0=62, Resulting Numbers: [64, 62]
Generated Node #0,2,2: 62:[64, 62] Operation: 62-0=62
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[64, 62], Operations: ['23-23=0', '62+0=62']
Exploring Operation: 64+62=126, Resulting Numbers: [126]
126,62 unequal: No Solution
Exploring Operation: 64*62=3968, Resulting Numbers: [3968]
3968,62 unequal: No Solution
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,62 unequal: No Solution
No 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: 62:[0, 2], Operations: ['23-23=0', '64-62=2']
Exploring Operation: 0+2=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2-0=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 0*2=0, Resulting Numbers: [0]
0,62 unequal: No Solution
No 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: 62:[64, 62], Operations: ['23-23=0', '62-0=62']
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 64+62=126, Resulting Numbers: [126]
126,62 unequal: No Solution
Exploring Operation: 64*62=3968, Resulting Numbers: [3968]
3968,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[23, 23, 2], Operations: ['64-62=2']
Exploring Operation: 23/23=1, Resulting Numbers: [2, 1]
Generated Node #0,1,0: 62:[2, 1] Operation: 23/23=1
Exploring Operation: 23-23=0, Resulting Numbers: [2, 0]
Generated Node #0,1,1: 62:[2, 0] Operation: 23-23=0
Exploring Operation: 23+2=25, Resulting Numbers: [23, 25]
Generated Node #0,1,2: 62:[23, 25] Operation: 23+2=25
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[2, 1], Operations: ['64-62=2', '23/23=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,62 unequal: No Solution
No 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: 62:[2, 0], Operations: ['64-62=2', '23-23=0']
Exploring Operation: 2-0=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2*0=0, Resulting Numbers: [0]
0,62 unequal: No Solution
Exploring Operation: 2+0=2, Resulting Numbers: [2]
2,62 unequal: No Solution
No 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: 62:[23, 25], Operations: ['64-62=2', '23+2=25']
Exploring Operation: 23*25=575, Resulting Numbers: [575]
575,62 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 23+25=48, Resulting Numbers: [48]
48,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
43,
66,
63,
19
] | 100 | [
"66-63=3",
"19*3=57",
"43+57=100"
] | Current State: 100:[43, 66, 63, 19], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [43, 19, 3]
Generated Node #2: [43, 19, 3] from Operation: 66-63=3
Current State: 100:[43, 19, 3], Operations: ['66-63=3']
Exploring Operation: 19*3=57, Resulting Numbers: [43, 57]
Generated Node #3: [43, 57] from Operation: 19*3=57
Current State: 100:[43, 57], Operations: ['66-63=3', '19*3=57']
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[43, 66, 63, 19], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [43, 19, 3]
Generated Node #0,0: 100:[43, 19, 3] Operation: 66-63=3
Exploring Operation: 66-43=23, Resulting Numbers: [63, 19, 23]
Generated Node #0,1: 100:[63, 19, 23] Operation: 66-43=23
Moving to Node #0,0
Current State: 100:[43, 19, 3], Operations: ['66-63=3']
Exploring Operation: 43-19=24, Resulting Numbers: [3, 24]
Generated Node #0,0,0: 100:[3, 24] Operation: 43-19=24
Exploring Operation: 43+3=46, Resulting Numbers: [19, 46]
Generated Node #0,0,1: 100:[19, 46] Operation: 43+3=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[3, 24], Operations: ['66-63=3', '43-19=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,100 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 100:[19, 46], Operations: ['66-63=3', '43+3=46']
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,100 unequal: No Solution
Exploring Operation: 19+46=65, Resulting Numbers: [65]
65,100 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: 100:[63, 19, 23], Operations: ['66-43=23']
Exploring Operation: 63-19=44, Resulting Numbers: [23, 44]
Generated Node #0,1,0: 100:[23, 44] Operation: 63-19=44
Exploring Operation: 63-23=40, Resulting Numbers: [19, 40]
Generated Node #0,1,1: 100:[19, 40] Operation: 63-23=40
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[23, 44], Operations: ['66-43=23', '63-19=44']
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,100 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[19, 40], Operations: ['66-43=23', '63-23=40']
Exploring Operation: 19+40=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
3,
17,
75,
55
] | 99 | [
"17+55=72",
"72/3=24",
"75+24=99"
] | Current State: 99:[3, 17, 75, 55], Operations: []
Exploring Operation: 17+55=72, Resulting Numbers: [3, 75, 72]
Generated Node #2: [3, 75, 72] from Operation: 17+55=72
Current State: 99:[3, 75, 72], Operations: ['17+55=72']
Exploring Operation: 72/3=24, Resulting Numbers: [75, 24]
Generated Node #3: [75, 24] from Operation: 72/3=24
Current State: 99:[75, 24], Operations: ['17+55=72', '72/3=24']
Exploring Operation: 75+24=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[3, 17, 75, 55], Operations: []
Exploring Operation: 75/3=25, Resulting Numbers: [17, 55, 25]
Generated Node #0,0: 99:[17, 55, 25] Operation: 75/3=25
Exploring Operation: 75-55=20, Resulting Numbers: [3, 17, 20]
Generated Node #0,1: 99:[3, 17, 20] Operation: 75-55=20
Exploring Operation: 55-17=38, Resulting Numbers: [3, 75, 38]
Generated Node #0,2: 99:[3, 75, 38] Operation: 55-17=38
Exploring Operation: 17+75=92, Resulting Numbers: [3, 55, 92]
Generated Node #0,3: 99:[3, 55, 92] Operation: 17+75=92
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[3, 17, 20], Operations: ['75-55=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17, 17]
Generated Node #0,1,0: 99:[17, 17] Operation: 20-3=17
Exploring Operation: 17+20=37, Resulting Numbers: [3, 37]
Generated Node #0,1,1: 99:[3, 37] Operation: 17+20=37
Exploring Operation: 17-3=14, Resulting Numbers: [20, 14]
Generated Node #0,1,2: 99:[20, 14] Operation: 17-3=14
Exploring Operation: 20-17=3, Resulting Numbers: [3, 3]
Generated Node #0,1,3: 99:[3, 3] Operation: 20-17=3
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 99:[3, 3], Operations: ['75-55=20', '20-17=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,99 unequal: No Solution
No 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: 99:[3, 37], Operations: ['75-55=20', '17+20=37']
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,99 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,99 unequal: No Solution
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,99 unequal: No Solution
No 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: 99:[17, 17], Operations: ['75-55=20', '20-3=17']
Exploring Operation: 17*17=289, Resulting Numbers: [289]
289,99 unequal: No Solution
Exploring Operation: 17/17=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 17+17=34, Resulting Numbers: [34]
34,99 unequal: No Solution
Exploring Operation: 17-17=0, Resulting Numbers: [0]
0,99 unequal: No Solution
No 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: 99:[20, 14], Operations: ['75-55=20', '17-3=14']
Exploring Operation: 20+14=34, Resulting Numbers: [34]
34,99 unequal: No Solution
Exploring Operation: 20*14=280, Resulting Numbers: [280]
280,99 unequal: No Solution
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,99 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: 99:[3, 75, 38], Operations: ['55-17=38']
Exploring Operation: 75-38=37, Resulting Numbers: [3, 37]
Generated Node #0,2,0: 99:[3, 37] Operation: 75-38=37
Exploring Operation: 75+38=113, Resulting Numbers: [3, 113]
Generated Node #0,2,1: 99:[3, 113] Operation: 75+38=113
Exploring Operation: 3+75=78, Resulting Numbers: [38, 78]
Generated Node #0,2,2: 99:[38, 78] Operation: 3+75=78
Exploring Operation: 75/3=25, Resulting Numbers: [38, 25]
Generated Node #0,2,3: 99:[38, 25] Operation: 75/3=25
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 99:[3, 37], Operations: ['55-17=38', '75-38=37']
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,99 unequal: No Solution
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,99 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,99 unequal: No Solution
No 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: 99:[38, 25], Operations: ['55-17=38', '75/3=25']
Exploring Operation: 38*25=950, Resulting Numbers: [950]
950,99 unequal: No Solution
Exploring Operation: 38+25=63, Resulting Numbers: [63]
63,99 unequal: No Solution
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,99 unequal: No Solution
No 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: 99:[3, 113], Operations: ['55-17=38', '75+38=113']
Exploring Operation: 3+113=116, Resulting Numbers: [116]
116,99 unequal: No Solution
Exploring Operation: 3*113=339, Resulting Numbers: [339]
339,99 unequal: No Solution
Exploring Operation: 113-3=110, Resulting Numbers: [110]
110,99 unequal: No Solution
No 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: 99:[38, 78], Operations: ['55-17=38', '3+75=78']
Exploring Operation: 38+78=116, Resulting Numbers: [116]
116,99 unequal: No Solution
Exploring Operation: 38*78=2964, Resulting Numbers: [2964]
2964,99 unequal: No Solution
Exploring Operation: 78-38=40, Resulting Numbers: [40]
40,99 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: 99:[3, 55, 92], Operations: ['17+75=92']
Exploring Operation: 3+92=95, Resulting Numbers: [55, 95]
Generated Node #0,3,0: 99:[55, 95] Operation: 3+92=95
Exploring Operation: 55-3=52, Resulting Numbers: [92, 52]
Generated Node #0,3,1: 99:[92, 52] Operation: 55-3=52
Exploring Operation: 92-55=37, Resulting Numbers: [3, 37]
Generated Node #0,3,2: 99:[3, 37] Operation: 92-55=37
Exploring Operation: 3+55=58, Resulting Numbers: [92, 58]
Generated Node #0,3,3: 99:[92, 58] Operation: 3+55=58
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 99:[3, 37], Operations: ['17+75=92', '92-55=37']
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,99 unequal: No Solution
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,99 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,99 unequal: No Solution
No 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: 99:[55, 95], Operations: ['17+75=92', '3+92=95']
Exploring Operation: 55*95=5225, Resulting Numbers: [5225]
5225,99 unequal: No Solution
Exploring Operation: 55+95=150, Resulting Numbers: [150]
150,99 unequal: No Solution
Exploring Operation: 95-55=40, Resulting Numbers: [40]
40,99 unequal: No Solution
No 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: 99:[92, 52], Operations: ['17+75=92', '55-3=52']
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,99 unequal: No Solution
Exploring Operation: 92*52=4784, Resulting Numbers: [4784]
4784,99 unequal: No Solution
Exploring Operation: 92+52=144, Resulting Numbers: [144]
144,99 unequal: No Solution
No 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: 99:[92, 58], Operations: ['17+75=92', '3+55=58']
Exploring Operation: 92-58=34, Resulting Numbers: [34]
34,99 unequal: No Solution
Exploring Operation: 92+58=150, Resulting Numbers: [150]
150,99 unequal: No Solution
Exploring Operation: 92*58=5336, Resulting Numbers: [5336]
5336,99 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: 99:[17, 55, 25], Operations: ['75/3=25']
Exploring Operation: 55-25=30, Resulting Numbers: [17, 30]
Generated Node #0,0,0: 99:[17, 30] Operation: 55-25=30
Exploring Operation: 55-17=38, Resulting Numbers: [25, 38]
Generated Node #0,0,1: 99:[25, 38] Operation: 55-17=38
Exploring Operation: 25-17=8, Resulting Numbers: [55, 8]
Generated Node #0,0,2: 99:[55, 8] Operation: 25-17=8
Exploring Operation: 55+25=80, Resulting Numbers: [17, 80]
Generated Node #0,0,3: 99:[17, 80] Operation: 55+25=80
Moving to Node #0,0,0
Current State: 99:[17, 30], Operations: ['75/3=25', '55-25=30']
Exploring Operation: 17*30=510, Resulting Numbers: [510]
510,99 unequal: No Solution
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,99 unequal: No Solution
Exploring Operation: 17+30=47, Resulting Numbers: [47]
47,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[25, 38], Operations: ['75/3=25', '55-17=38']
Exploring Operation: 25*38=950, Resulting Numbers: [950]
950,99 unequal: No Solution
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,99 unequal: No Solution
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[55, 8], Operations: ['75/3=25', '25-17=8']
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,99 unequal: No Solution
Exploring Operation: 55*8=440, Resulting Numbers: [440]
440,99 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,99 unequal: No Solution
Moving to Node #0,0,3
Current State: 99:[17, 80], Operations: ['75/3=25', '55+25=80']
Exploring Operation: 17+80=97, Resulting Numbers: [97]
97,99 unequal: No Solution
Exploring Operation: 80-17=63, Resulting Numbers: [63]
63,99 unequal: No Solution
Exploring Operation: 17*80=1360, Resulting Numbers: [1360]
1360,99 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 |
[
66,
41,
81,
52
] | 54 | [
"66-41=25",
"81-52=29",
"25+29=54"
] | Current State: 54:[66, 41, 81, 52], Operations: []
Exploring Operation: 66-41=25, Resulting Numbers: [81, 52, 25]
Generated Node #2: [81, 52, 25] from Operation: 66-41=25
Current State: 54:[81, 52, 25], Operations: ['66-41=25']
Exploring Operation: 81-52=29, Resulting Numbers: [25, 29]
Generated Node #3: [25, 29] from Operation: 81-52=29
Current State: 54:[25, 29], Operations: ['66-41=25', '81-52=29']
Exploring Operation: 25+29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[66, 41, 81, 52], Operations: []
Exploring Operation: 81-66=15, Resulting Numbers: [41, 52, 15]
Generated Node #0,0: 54:[41, 52, 15] Operation: 81-66=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[41, 52, 15], Operations: ['81-66=15']
Exploring Operation: 41-15=26, Resulting Numbers: [52, 26]
Generated Node #0,0,0: 54:[52, 26] Operation: 41-15=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[52, 26], Operations: ['81-66=15', '41-15=26']
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,54 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_1 | mult_heuristic |
[
83,
85,
88,
83
] | 39 | [
"85-83=2",
"88/2=44",
"83-44=39"
] | Current State: 39:[83, 85, 88, 83], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [88, 2]
Generated Node #2: [88, 2] from Operation: 85-83=2
Current State: 39:[88, 2], Operations: ['85-83=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,39 equal: Goal Reached
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[83, 85, 88, 83], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [83, 83, 3]
Generated Node #0,0: 39:[83, 83, 3] Operation: 88-85=3
Exploring Operation: 88-83=5, Resulting Numbers: [83, 85, 5]
Generated Node #0,1: 39:[83, 85, 5] Operation: 88-83=5
Exploring Operation: 85-83=2, Resulting Numbers: [88, 83, 2]
Generated Node #0,2: 39:[88, 83, 2] Operation: 85-83=2
Exploring Operation: 88-83=5, Resulting Numbers: [85, 83, 5]
Generated Node #0,3: 39:[85, 83, 5] Operation: 88-83=5
Exploring Operation: 85-83=2, Resulting Numbers: [83, 88, 2]
Generated Node #0,4: 39:[83, 88, 2] Operation: 85-83=2
Moving to Node #0,0
Current State: 39:[83, 83, 3], Operations: ['88-85=3']
Exploring Operation: 83/83=1, Resulting Numbers: [3, 1]
Generated Node #0,0,0: 39:[3, 1] Operation: 83/83=1
Exploring Operation: 83+3=86, Resulting Numbers: [83, 86]
Generated Node #0,0,1: 39:[83, 86] Operation: 83+3=86
Exploring Operation: 83-83=0, Resulting Numbers: [3, 0]
Generated Node #0,0,2: 39:[3, 0] Operation: 83-83=0
Exploring Operation: 83-3=80, Resulting Numbers: [83, 80]
Generated Node #0,0,3: 39:[83, 80] Operation: 83-3=80
Exploring Operation: 83-3=80, Resulting Numbers: [83, 80]
Generated Node #0,0,4: 39:[83, 80] Operation: 83-3=80
Moving to Node #0,3
Current State: 39:[85, 83, 5], Operations: ['88-83=5']
Exploring Operation: 85+5=90, Resulting Numbers: [83, 90]
Generated Node #0,3,0: 39:[83, 90] Operation: 85+5=90
Exploring Operation: 83-5=78, Resulting Numbers: [85, 78]
Generated Node #0,3,1: 39:[85, 78] Operation: 83-5=78
Exploring Operation: 85/5=17, Resulting Numbers: [83, 17]
Generated Node #0,3,2: 39:[83, 17] Operation: 85/5=17
Exploring Operation: 85-83=2, Resulting Numbers: [5, 2]
Generated Node #0,3,3: 39:[5, 2] Operation: 85-83=2
Exploring Operation: 85-5=80, Resulting Numbers: [83, 80]
Generated Node #0,3,4: 39:[83, 80] Operation: 85-5=80
Moving to Node #0,1
Current State: 39:[83, 85, 5], Operations: ['88-83=5']
Exploring Operation: 83+5=88, Resulting Numbers: [85, 88]
Generated Node #0,1,0: 39:[85, 88] Operation: 83+5=88
Exploring Operation: 85-83=2, Resulting Numbers: [5, 2]
Generated Node #0,1,1: 39:[5, 2] Operation: 85-83=2
Exploring Operation: 85-5=80, Resulting Numbers: [83, 80]
Generated Node #0,1,2: 39:[83, 80] Operation: 85-5=80
Exploring Operation: 83-5=78, Resulting Numbers: [85, 78]
Generated Node #0,1,3: 39:[85, 78] Operation: 83-5=78
Exploring Operation: 85/5=17, Resulting Numbers: [83, 17]
Generated Node #0,1,4: 39:[83, 17] Operation: 85/5=17
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 39:[5, 2], Operations: ['88-83=5', '85-83=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,39 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 #0,1,4
Current State: 39:[83, 17], Operations: ['88-83=5', '85/5=17']
Exploring Operation: 83+17=100, Resulting Numbers: [100]
100,39 unequal: No Solution
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,39 unequal: No Solution
Exploring Operation: 83*17=1411, Resulting Numbers: [1411]
1411,39 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 #0,1,2
Current State: 39:[83, 80], Operations: ['88-83=5', '85-5=80']
Exploring Operation: 83-80=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 83*80=6640, Resulting Numbers: [6640]
6640,39 unequal: No Solution
Exploring Operation: 83+80=163, Resulting Numbers: [163]
163,39 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 #0,1,3
Current State: 39:[85, 78], Operations: ['88-83=5', '83-5=78']
Exploring Operation: 85*78=6630, Resulting Numbers: [6630]
6630,39 unequal: No Solution
Exploring Operation: 85-78=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 85+78=163, Resulting Numbers: [163]
163,39 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 #0,1,0
Current State: 39:[85, 88], Operations: ['88-83=5', '83+5=88']
Exploring Operation: 85+88=173, Resulting Numbers: [173]
173,39 unequal: No Solution
Exploring Operation: 85*88=7480, Resulting Numbers: [7480]
7480,39 unequal: No Solution
Exploring Operation: 88-85=3, Resulting Numbers: [3]
3,39 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:[88, 83, 2], Operations: ['85-83=2']
Exploring Operation: 83-2=81, Resulting Numbers: [88, 81]
Generated Node #0,2,0: 39:[88, 81] Operation: 83-2=81
Exploring Operation: 88-2=86, Resulting Numbers: [83, 86]
Generated Node #0,2,1: 39:[83, 86] Operation: 88-2=86
Exploring Operation: 88/2=44, Resulting Numbers: [83, 44]
Generated Node #0,2,2: 39:[83, 44] Operation: 88/2=44
Exploring Operation: 88-83=5, Resulting Numbers: [2, 5]
Generated Node #0,2,3: 39:[2, 5] Operation: 88-83=5
Exploring Operation: 88+2=90, Resulting Numbers: [83, 90]
Generated Node #0,2,4: 39:[83, 90] Operation: 88+2=90
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 39:[2, 5], Operations: ['85-83=2', '88-83=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[83, 44], Operations: ['85-83=2', '88/2=44']
Exploring Operation: 83*44=3652, Resulting Numbers: [3652]
3652,39 unequal: No Solution
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[83, 85, 88, 83], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [88, 83, 2]
Generated Node #0,2: 39:[88, 83, 2] Operation: 85-83=2
Moving to Node #0,2
Current State: 39:[88, 83, 2], Operations: ['85-83=2']
Exploring Operation: 88/2=44, Resulting Numbers: [83, 44]
Generated Node #0,2,2: 39:[83, 44] Operation: 88/2=44
Moving to Node #0,2,2
Current State: 39:[83, 44], Operations: ['85-83=2', '88/2=44']
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465 | hs_5 | sum_heuristic |
[
67,
6,
71,
44
] | 22 | [
"67+6=73",
"73-71=2",
"44/2=22"
] | Current State: 22:[67, 6, 71, 44], Operations: []
Exploring Operation: 67+6=73, Resulting Numbers: [71, 44, 73]
Generated Node #2: [71, 44, 73] from Operation: 67+6=73
Current State: 22:[71, 44, 73], Operations: ['67+6=73']
Exploring Operation: 73-71=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 73-71=2
Current State: 22:[44, 2], Operations: ['67+6=73', '73-71=2']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[67, 6, 71, 44], Operations: []
Exploring Operation: 71-44=27, Resulting Numbers: [67, 6, 27]
Generated Node #0,0: 22:[67, 6, 27] Operation: 71-44=27
Exploring Operation: 71-67=4, Resulting Numbers: [6, 44, 4]
Generated Node #0,1: 22:[6, 44, 4] Operation: 71-67=4
Exploring Operation: 67-44=23, Resulting Numbers: [6, 71, 23]
Generated Node #0,2: 22:[6, 71, 23] Operation: 67-44=23
Exploring Operation: 67-6=61, Resulting Numbers: [71, 44, 61]
Generated Node #0,3: 22:[71, 44, 61] Operation: 67-6=61
Moving to Node #0,1
Current State: 22:[6, 44, 4], Operations: ['71-67=4']
Exploring Operation: 44/4=11, Resulting Numbers: [6, 11]
Generated Node #0,1,0: 22:[6, 11] Operation: 44/4=11
Exploring Operation: 44-6=38, Resulting Numbers: [4, 38]
Generated Node #0,1,1: 22:[4, 38] Operation: 44-6=38
Exploring Operation: 44-4=40, Resulting Numbers: [6, 40]
Generated Node #0,1,2: 22:[6, 40] Operation: 44-4=40
Exploring Operation: 6-4=2, Resulting Numbers: [44, 2]
Generated Node #0,1,3: 22:[44, 2] Operation: 6-4=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 22:[6, 11], Operations: ['71-67=4', '44/4=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,22 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 22:[4, 38], Operations: ['71-67=4', '44-6=38']
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 22:[6, 40], Operations: ['71-67=4', '44-4=40']
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,22 unequal: No Solution
Exploring Operation: 6*40=240, Resulting Numbers: [240]
240,22 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 22:[44, 2], Operations: ['71-67=4', '6-4=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,22 unequal: No Solution
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,22 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[67, 6, 71, 44], Operations: []
Exploring Operation: 71-67=4, Resulting Numbers: [6, 44, 4]
Generated Node #0,1: 22:[6, 44, 4] Operation: 71-67=4
Moving to Node #0,1
Current State: 22:[6, 44, 4], Operations: ['71-67=4']
Exploring Operation: 6-4=2, Resulting Numbers: [44, 2]
Generated Node #0,1,3: 22:[44, 2] Operation: 6-4=2
Moving to Node #0,1,3
Current State: 22:[44, 2], Operations: ['71-67=4', '6-4=2']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | sum_heuristic |
[
15,
88,
90,
18
] | 31 | [
"15+88=103",
"90-18=72",
"103-72=31"
] | Current State: 31:[15, 88, 90, 18], Operations: []
Exploring Operation: 15+88=103, Resulting Numbers: [90, 18, 103]
Generated Node #2: [90, 18, 103] from Operation: 15+88=103
Current State: 31:[90, 18, 103], Operations: ['15+88=103']
Exploring Operation: 90-18=72, Resulting Numbers: [103, 72]
Generated Node #3: [103, 72] from Operation: 90-18=72
Current State: 31:[103, 72], Operations: ['15+88=103', '90-18=72']
Exploring Operation: 103-72=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[15, 88, 90, 18], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [88, 18, 6]
Generated Node #0,0: 31:[88, 18, 6] Operation: 90/15=6
Exploring Operation: 90-88=2, Resulting Numbers: [15, 18, 2]
Generated Node #0,1: 31:[15, 18, 2] Operation: 90-88=2
Exploring Operation: 90/18=5, Resulting Numbers: [15, 88, 5]
Generated Node #0,2: 31:[15, 88, 5] Operation: 90/18=5
Moving to Node #0,1
Current State: 31:[15, 18, 2], Operations: ['90-88=2']
Exploring Operation: 15*2=30, Resulting Numbers: [18, 30]
Generated Node #0,1,0: 31:[18, 30] Operation: 15*2=30
Exploring Operation: 18*2=36, Resulting Numbers: [15, 36]
Generated Node #0,1,1: 31:[15, 36] Operation: 18*2=36
Exploring Operation: 15+2=17, Resulting Numbers: [18, 17]
Generated Node #0,1,2: 31:[18, 17] Operation: 15+2=17
Moving to Node #0,0
Current State: 31:[88, 18, 6], Operations: ['90/15=6']
Exploring Operation: 88-18=70, Resulting Numbers: [6, 70]
Generated Node #0,0,0: 31:[6, 70] Operation: 88-18=70
Exploring Operation: 18+6=24, Resulting Numbers: [88, 24]
Generated Node #0,0,1: 31:[88, 24] Operation: 18+6=24
Exploring Operation: 88-6=82, Resulting Numbers: [18, 82]
Generated Node #0,0,2: 31:[18, 82] Operation: 88-6=82
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[6, 70], Operations: ['90/15=6', '88-18=70']
Exploring Operation: 6*70=420, Resulting Numbers: [420]
420,31 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 6+70=76, Resulting Numbers: [76]
76,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 31:[88, 24], Operations: ['90/15=6', '18+6=24']
Exploring Operation: 88*24=2112, Resulting Numbers: [2112]
2112,31 unequal: No Solution
Exploring Operation: 88+24=112, Resulting Numbers: [112]
112,31 unequal: No Solution
Exploring Operation: 88-24=64, Resulting Numbers: [64]
64,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 31:[18, 82], Operations: ['90/15=6', '88-6=82']
Exploring Operation: 82-18=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 18+82=100, Resulting Numbers: [100]
100,31 unequal: No Solution
Exploring Operation: 18*82=1476, Resulting Numbers: [1476]
1476,31 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: 31:[15, 88, 5], Operations: ['90/18=5']
Exploring Operation: 88-15=73, Resulting Numbers: [5, 73]
Generated Node #0,2,0: 31:[5, 73] Operation: 88-15=73
Exploring Operation: 88-5=83, Resulting Numbers: [15, 83]
Generated Node #0,2,1: 31:[15, 83] Operation: 88-5=83
Exploring Operation: 15+5=20, Resulting Numbers: [88, 20]
Generated Node #0,2,2: 31:[88, 20] Operation: 15+5=20
Moving to Node #0,1,0
Current State: 31:[18, 30], Operations: ['90-88=2', '15*2=30']
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,31 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,31 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[15, 36], Operations: ['90-88=2', '18*2=36']
Exploring Operation: 15*36=540, Resulting Numbers: [540]
540,31 unequal: No Solution
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[18, 17], Operations: ['90-88=2', '15+2=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,31 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 18*17=306, Resulting Numbers: [306]
306,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[88, 20], Operations: ['90/18=5', '15+5=20']
Exploring Operation: 88-20=68, Resulting Numbers: [68]
68,31 unequal: No Solution
Exploring Operation: 88+20=108, Resulting Numbers: [108]
108,31 unequal: No Solution
Exploring Operation: 88*20=1760, Resulting Numbers: [1760]
1760,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[15, 83], Operations: ['90/18=5', '88-5=83']
Exploring Operation: 15*83=1245, Resulting Numbers: [1245]
1245,31 unequal: No Solution
Exploring Operation: 15+83=98, Resulting Numbers: [98]
98,31 unequal: No Solution
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[5, 73], Operations: ['90/18=5', '88-15=73']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,31 unequal: No Solution
Exploring Operation: 5*73=365, Resulting Numbers: [365]
365,31 unequal: No Solution
Exploring Operation: 5+73=78, Resulting Numbers: [78]
78,31 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
4,
9,
8,
71
] | 92 | [
"4+9=13",
"8+71=79",
"13+79=92"
] | Current State: 92:[4, 9, 8, 71], Operations: []
Exploring Operation: 4+9=13, Resulting Numbers: [8, 71, 13]
Generated Node #2: [8, 71, 13] from Operation: 4+9=13
Current State: 92:[8, 71, 13], Operations: ['4+9=13']
Exploring Operation: 8+71=79, Resulting Numbers: [13, 79]
Generated Node #3: [13, 79] from Operation: 8+71=79
Current State: 92:[13, 79], Operations: ['4+9=13', '8+71=79']
Exploring Operation: 13+79=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[4, 9, 8, 71], Operations: []
Exploring Operation: 9+71=80, Resulting Numbers: [4, 8, 80]
Generated Node #0,0: 92:[4, 8, 80] Operation: 9+71=80
Exploring Operation: 8+71=79, Resulting Numbers: [4, 9, 79]
Generated Node #0,1: 92:[4, 9, 79] Operation: 8+71=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[4, 8, 80], Operations: ['9+71=80']
Exploring Operation: 80/8=10, Resulting Numbers: [4, 10]
Generated Node #0,0,0: 92:[4, 10] Operation: 80/8=10
Exploring Operation: 8+80=88, Resulting Numbers: [4, 88]
Generated Node #0,0,1: 92:[4, 88] Operation: 8+80=88
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[4, 88], Operations: ['9+71=80', '8+80=88']
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[4, 9, 8, 71], Operations: []
Exploring Operation: 9+71=80, Resulting Numbers: [4, 8, 80]
Generated Node #0,0: 92:[4, 8, 80] Operation: 9+71=80
Moving to Node #0,0
Current State: 92:[4, 8, 80], Operations: ['9+71=80']
Exploring Operation: 8+80=88, Resulting Numbers: [4, 88]
Generated Node #0,0,1: 92:[4, 88] Operation: 8+80=88
Moving to Node #0,0,1
Current State: 92:[4, 88], Operations: ['9+71=80', '8+80=88']
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
73,
44,
82,
1
] | 54 | [
"73-44=29",
"82+1=83",
"83-29=54"
] | Current State: 54:[73, 44, 82, 1], Operations: []
Exploring Operation: 73-44=29, Resulting Numbers: [82, 1, 29]
Generated Node #2: [82, 1, 29] from Operation: 73-44=29
Current State: 54:[82, 1, 29], Operations: ['73-44=29']
Exploring Operation: 82+1=83, Resulting Numbers: [29, 83]
Generated Node #3: [29, 83] from Operation: 82+1=83
Current State: 54:[29, 83], Operations: ['73-44=29', '82+1=83']
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[73, 44, 82, 1], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [44, 1, 9]
Generated Node #0,0: 54:[44, 1, 9] Operation: 82-73=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[44, 1, 9], Operations: ['82-73=9']
Exploring Operation: 44+9=53, Resulting Numbers: [1, 53]
Generated Node #0,0,0: 54:[1, 53] Operation: 44+9=53
Moving to Node #0,0,0
Current State: 54:[1, 53], Operations: ['82-73=9', '44+9=53']
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[73, 44, 82, 1], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [44, 1, 9]
Generated Node #0,0: 54:[44, 1, 9] Operation: 82-73=9
Moving to Node #0,0
Current State: 54:[44, 1, 9], Operations: ['82-73=9']
Exploring Operation: 44+9=53, Resulting Numbers: [1, 53]
Generated Node #0,0,0: 54:[1, 53] Operation: 44+9=53
Moving to Node #0,0,0
Current State: 54:[1, 53], Operations: ['82-73=9', '44+9=53']
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
64,
80,
28,
23
] | 84 | [
"64+28=92",
"92/23=4",
"80+4=84"
] | Current State: 84:[64, 80, 28, 23], Operations: []
Exploring Operation: 64+28=92, Resulting Numbers: [80, 23, 92]
Generated Node #2: [80, 23, 92] from Operation: 64+28=92
Current State: 84:[80, 23, 92], Operations: ['64+28=92']
Exploring Operation: 92/23=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 92/23=4
Current State: 84:[80, 4], Operations: ['64+28=92', '92/23=4']
Exploring Operation: 80+4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[64, 80, 28, 23], Operations: []
Exploring Operation: 64-23=41, Resulting Numbers: [80, 28, 41]
Generated Node #0,0: 84:[80, 28, 41] Operation: 64-23=41
Exploring Operation: 64+23=87, Resulting Numbers: [80, 28, 87]
Generated Node #0,1: 84:[80, 28, 87] Operation: 64+23=87
Exploring Operation: 80-64=16, Resulting Numbers: [28, 23, 16]
Generated Node #0,2: 84:[28, 23, 16] Operation: 80-64=16
Exploring Operation: 64-28=36, Resulting Numbers: [80, 23, 36]
Generated Node #0,3: 84:[80, 23, 36] Operation: 64-28=36
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[28, 23, 16], Operations: ['80-64=16']
Exploring Operation: 23+16=39, Resulting Numbers: [28, 39]
Generated Node #0,2,0: 84:[28, 39] Operation: 23+16=39
Exploring Operation: 23-16=7, Resulting Numbers: [28, 7]
Generated Node #0,2,1: 84:[28, 7] Operation: 23-16=7
Exploring Operation: 28-16=12, Resulting Numbers: [23, 12]
Generated Node #0,2,2: 84:[23, 12] Operation: 28-16=12
Exploring Operation: 28-23=5, Resulting Numbers: [16, 5]
Generated Node #0,2,3: 84:[16, 5] Operation: 28-23=5
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 84:[28, 7], Operations: ['80-64=16', '23-16=7']
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,84 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,84 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 84:[23, 12], Operations: ['80-64=16', '28-16=12']
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,84 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 84:[28, 39], Operations: ['80-64=16', '23+16=39']
Exploring Operation: 28+39=67, Resulting Numbers: [67]
67,84 unequal: No Solution
Exploring Operation: 28*39=1092, Resulting Numbers: [1092]
1092,84 unequal: No Solution
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 84:[16, 5], Operations: ['80-64=16', '28-23=5']
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,84 unequal: No Solution
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[80, 28, 41], Operations: ['64-23=41']
Exploring Operation: 80-41=39, Resulting Numbers: [28, 39]
Generated Node #0,0,0: 84:[28, 39] Operation: 80-41=39
Exploring Operation: 80-28=52, Resulting Numbers: [41, 52]
Generated Node #0,0,1: 84:[41, 52] Operation: 80-28=52
Exploring Operation: 28+41=69, Resulting Numbers: [80, 69]
Generated Node #0,0,2: 84:[80, 69] Operation: 28+41=69
Exploring Operation: 41-28=13, Resulting Numbers: [80, 13]
Generated Node #0,0,3: 84:[80, 13] Operation: 41-28=13
Moving to Node #0,0,0
Current State: 84:[28, 39], Operations: ['64-23=41', '80-41=39']
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 28+39=67, Resulting Numbers: [67]
67,84 unequal: No Solution
Exploring Operation: 28*39=1092, Resulting Numbers: [1092]
1092,84 unequal: No Solution
Moving to Node #0,0,3
Current State: 84:[80, 13], Operations: ['64-23=41', '41-28=13']
Exploring Operation: 80*13=1040, Resulting Numbers: [1040]
1040,84 unequal: No Solution
Exploring Operation: 80+13=93, Resulting Numbers: [93]
93,84 unequal: No Solution
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[41, 52], Operations: ['64-23=41', '80-28=52']
Exploring Operation: 41*52=2132, Resulting Numbers: [2132]
2132,84 unequal: No Solution
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 41+52=93, Resulting Numbers: [93]
93,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[80, 69], Operations: ['64-23=41', '28+41=69']
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 80+69=149, Resulting Numbers: [149]
149,84 unequal: No Solution
Exploring Operation: 80*69=5520, Resulting Numbers: [5520]
5520,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[80, 28, 87], Operations: ['64+23=87']
Exploring Operation: 80-28=52, Resulting Numbers: [87, 52]
Generated Node #0,1,0: 84:[87, 52] Operation: 80-28=52
Exploring Operation: 80+28=108, Resulting Numbers: [87, 108]
Generated Node #0,1,1: 84:[87, 108] Operation: 80+28=108
Exploring Operation: 87-28=59, Resulting Numbers: [80, 59]
Generated Node #0,1,2: 84:[80, 59] Operation: 87-28=59
Exploring Operation: 87-80=7, Resulting Numbers: [28, 7]
Generated Node #0,1,3: 84:[28, 7] Operation: 87-80=7
Moving to Node #0,1,3
Current State: 84:[28, 7], Operations: ['64+23=87', '87-80=7']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,84 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,84 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[87, 52], Operations: ['64+23=87', '80-28=52']
Exploring Operation: 87+52=139, Resulting Numbers: [139]
139,84 unequal: No Solution
Exploring Operation: 87*52=4524, Resulting Numbers: [4524]
4524,84 unequal: No Solution
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[80, 59], Operations: ['64+23=87', '87-28=59']
Exploring Operation: 80*59=4720, Resulting Numbers: [4720]
4720,84 unequal: No Solution
Exploring Operation: 80-59=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 80+59=139, Resulting Numbers: [139]
139,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[87, 108], Operations: ['64+23=87', '80+28=108']
Exploring Operation: 87+108=195, Resulting Numbers: [195]
195,84 unequal: No Solution
Exploring Operation: 87*108=9396, Resulting Numbers: [9396]
9396,84 unequal: No Solution
Exploring Operation: 108-87=21, Resulting Numbers: [21]
21,84 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 #0,3
Current State: 84:[80, 23, 36], Operations: ['64-28=36']
Exploring Operation: 80-36=44, Resulting Numbers: [23, 44]
Generated Node #0,3,0: 84:[23, 44] Operation: 80-36=44
Exploring Operation: 80-23=57, Resulting Numbers: [36, 57]
Generated Node #0,3,1: 84:[36, 57] Operation: 80-23=57
Exploring Operation: 36-23=13, Resulting Numbers: [80, 13]
Generated Node #0,3,2: 84:[80, 13] Operation: 36-23=13
Exploring Operation: 23+36=59, Resulting Numbers: [80, 59]
Generated Node #0,3,3: 84:[80, 59] Operation: 23+36=59
Moving to Node #0,3,0
Current State: 84:[23, 44], Operations: ['64-28=36', '80-36=44']
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,84 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,84 unequal: No Solution
Moving to Node #0,3,2
Current State: 84:[80, 13], Operations: ['64-28=36', '36-23=13']
Exploring Operation: 80*13=1040, Resulting Numbers: [1040]
1040,84 unequal: No Solution
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,84 unequal: No Solution
Exploring Operation: 80+13=93, Resulting Numbers: [93]
93,84 unequal: No Solution
Moving to Node #0,3,3
Current State: 84:[80, 59], Operations: ['64-28=36', '23+36=59']
Exploring Operation: 80-59=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 80*59=4720, Resulting Numbers: [4720]
4720,84 unequal: No Solution
Exploring Operation: 80+59=139, Resulting Numbers: [139]
139,84 unequal: No Solution
Moving to Node #0,3,1
Current State: 84:[36, 57], Operations: ['64-28=36', '80-23=57']
Exploring Operation: 36+57=93, Resulting Numbers: [93]
93,84 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 36*57=2052, Resulting Numbers: [2052]
2052,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
58,
3,
24,
51
] | 15 | [
"58-51=7",
"24/3=8",
"7+8=15"
] | Current State: 15:[58, 3, 24, 51], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [3, 24, 7]
Generated Node #2: [3, 24, 7] from Operation: 58-51=7
Current State: 15:[3, 24, 7], Operations: ['58-51=7']
Exploring Operation: 24/3=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 24/3=8
Current State: 15:[7, 8], Operations: ['58-51=7', '24/3=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[58, 3, 24, 51], Operations: []
Exploring Operation: 58-24=34, Resulting Numbers: [3, 51, 34]
Generated Node #0,0: 15:[3, 51, 34] Operation: 58-24=34
Exploring Operation: 58-51=7, Resulting Numbers: [3, 24, 7]
Generated Node #0,1: 15:[3, 24, 7] Operation: 58-51=7
Exploring Operation: 51/3=17, Resulting Numbers: [58, 24, 17]
Generated Node #0,2: 15:[58, 24, 17] Operation: 51/3=17
Moving to Node #0,1
Current State: 15:[3, 24, 7], Operations: ['58-51=7']
Exploring Operation: 24-7=17, Resulting Numbers: [3, 17]
Generated Node #0,1,0: 15:[3, 17] Operation: 24-7=17
Exploring Operation: 24-3=21, Resulting Numbers: [7, 21]
Generated Node #0,1,1: 15:[7, 21] Operation: 24-3=21
Exploring Operation: 24/3=8, Resulting Numbers: [7, 8]
Generated Node #0,1,2: 15:[7, 8] Operation: 24/3=8
Moving to Node #0,2
Current State: 15:[58, 24, 17], Operations: ['51/3=17']
Exploring Operation: 24-17=7, Resulting Numbers: [58, 7]
Generated Node #0,2,0: 15:[58, 7] Operation: 24-17=7
Exploring Operation: 58-24=34, Resulting Numbers: [17, 34]
Generated Node #0,2,1: 15:[17, 34] Operation: 58-24=34
Exploring Operation: 58-17=41, Resulting Numbers: [24, 41]
Generated Node #0,2,2: 15:[24, 41] Operation: 58-17=41
Moving to Node #0,0
Current State: 15:[3, 51, 34], Operations: ['58-24=34']
Exploring Operation: 51-34=17, Resulting Numbers: [3, 17]
Generated Node #0,0,0: 15:[3, 17] Operation: 51-34=17
Exploring Operation: 51/3=17, Resulting Numbers: [34, 17]
Generated Node #0,0,1: 15:[34, 17] Operation: 51/3=17
Exploring Operation: 51-3=48, Resulting Numbers: [34, 48]
Generated Node #0,0,2: 15:[34, 48] Operation: 51-3=48
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[3, 17], Operations: ['58-24=34', '51-34=17']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[34, 17], Operations: ['58-24=34', '51/3=17']
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 15:[34, 48], Operations: ['58-24=34', '51-3=48']
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 34*48=1632, Resulting Numbers: [1632]
1632,15 unequal: No Solution
Exploring Operation: 34+48=82, Resulting Numbers: [82]
82,15 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: 15:[3, 17], Operations: ['58-51=7', '24-7=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[7, 8], Operations: ['58-51=7', '24/3=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,15 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[58, 3, 24, 51], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [3, 24, 7]
Generated Node #0,1: 15:[3, 24, 7] Operation: 58-51=7
Moving to Node #0,1
Current State: 15:[3, 24, 7], Operations: ['58-51=7']
Exploring Operation: 24/3=8, Resulting Numbers: [7, 8]
Generated Node #0,1,2: 15:[7, 8] Operation: 24/3=8
Moving to Node #0,1,2
Current State: 15:[7, 8], Operations: ['58-51=7', '24/3=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.97309 | hs_3 | mult_heuristic |
[
52,
9,
8,
70
] | 92 | [
"52*9=468",
"8*70=560",
"560-468=92"
] | Current State: 92:[52, 9, 8, 70], Operations: []
Exploring Operation: 52*9=468, Resulting Numbers: [8, 70, 468]
Generated Node #2: [8, 70, 468] from Operation: 52*9=468
Current State: 92:[8, 70, 468], Operations: ['52*9=468']
Exploring Operation: 8*70=560, Resulting Numbers: [468, 560]
Generated Node #3: [468, 560] from Operation: 8*70=560
Current State: 92:[468, 560], Operations: ['52*9=468', '8*70=560']
Exploring Operation: 560-468=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[52, 9, 8, 70], Operations: []
Exploring Operation: 9+70=79, Resulting Numbers: [52, 8, 79]
Generated Node #0,0: 92:[52, 8, 79] Operation: 9+70=79
Exploring Operation: 70-52=18, Resulting Numbers: [9, 8, 18]
Generated Node #0,1: 92:[9, 8, 18] Operation: 70-52=18
Exploring Operation: 8+70=78, Resulting Numbers: [52, 9, 78]
Generated Node #0,2: 92:[52, 9, 78] Operation: 8+70=78
Exploring Operation: 70-9=61, Resulting Numbers: [52, 8, 61]
Generated Node #0,3: 92:[52, 8, 61] Operation: 70-9=61
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[9, 8, 18], Operations: ['70-52=18']
Exploring Operation: 18/9=2, Resulting Numbers: [8, 2]
Generated Node #0,1,0: 92:[8, 2] Operation: 18/9=2
Exploring Operation: 8+18=26, Resulting Numbers: [9, 26]
Generated Node #0,1,1: 92:[9, 26] Operation: 8+18=26
Exploring Operation: 9+18=27, Resulting Numbers: [8, 27]
Generated Node #0,1,2: 92:[8, 27] Operation: 9+18=27
Exploring Operation: 9-8=1, Resulting Numbers: [18, 1]
Generated Node #0,1,3: 92:[18, 1] Operation: 9-8=1
Moving to Node #0,1,0
Current State: 92:[8, 2], Operations: ['70-52=18', '18/9=2']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[18, 1], Operations: ['70-52=18', '9-8=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[8, 27], Operations: ['70-52=18', '9+18=27']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[9, 26], Operations: ['70-52=18', '8+18=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 9*26=234, Resulting Numbers: [234]
234,92 unequal: No Solution
No 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: 92:[52, 8, 79], Operations: ['9+70=79']
Exploring Operation: 52+8=60, Resulting Numbers: [79, 60]
Generated Node #0,0,0: 92:[79, 60] Operation: 52+8=60
Exploring Operation: 79-52=27, Resulting Numbers: [8, 27]
Generated Node #0,0,1: 92:[8, 27] Operation: 79-52=27
Exploring Operation: 8+79=87, Resulting Numbers: [52, 87]
Generated Node #0,0,2: 92:[52, 87] Operation: 8+79=87
Exploring Operation: 52-8=44, Resulting Numbers: [79, 44]
Generated Node #0,0,3: 92:[79, 44] Operation: 52-8=44
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[8, 27], Operations: ['9+70=79', '79-52=27']
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,92 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,92 unequal: No Solution
No 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: 92:[52, 87], Operations: ['9+70=79', '8+79=87']
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 52+87=139, Resulting Numbers: [139]
139,92 unequal: No Solution
Exploring Operation: 52*87=4524, Resulting Numbers: [4524]
4524,92 unequal: No Solution
No 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: 92:[79, 44], Operations: ['9+70=79', '52-8=44']
Exploring Operation: 79+44=123, Resulting Numbers: [123]
123,92 unequal: No Solution
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 79*44=3476, Resulting Numbers: [3476]
3476,92 unequal: No Solution
No 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: 92:[79, 60], Operations: ['9+70=79', '52+8=60']
Exploring Operation: 79-60=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Exploring Operation: 79+60=139, Resulting Numbers: [139]
139,92 unequal: No Solution
Exploring Operation: 79*60=4740, Resulting Numbers: [4740]
4740,92 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: 92:[52, 9, 78], Operations: ['8+70=78']
Exploring Operation: 52-9=43, Resulting Numbers: [78, 43]
Generated Node #0,2,0: 92:[78, 43] Operation: 52-9=43
Exploring Operation: 9+78=87, Resulting Numbers: [52, 87]
Generated Node #0,2,1: 92:[52, 87] Operation: 9+78=87
Exploring Operation: 52+9=61, Resulting Numbers: [78, 61]
Generated Node #0,2,2: 92:[78, 61] Operation: 52+9=61
Exploring Operation: 78-52=26, Resulting Numbers: [9, 26]
Generated Node #0,2,3: 92:[9, 26] Operation: 78-52=26
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 92:[9, 26], Operations: ['8+70=78', '78-52=26']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 9*26=234, Resulting Numbers: [234]
234,92 unequal: No Solution
No 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: 92:[52, 87], Operations: ['8+70=78', '9+78=87']
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 52+87=139, Resulting Numbers: [139]
139,92 unequal: No Solution
Exploring Operation: 52*87=4524, Resulting Numbers: [4524]
4524,92 unequal: No Solution
No 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: 92:[78, 43], Operations: ['8+70=78', '52-9=43']
Exploring Operation: 78+43=121, Resulting Numbers: [121]
121,92 unequal: No Solution
Exploring Operation: 78*43=3354, Resulting Numbers: [3354]
3354,92 unequal: No Solution
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,92 unequal: No Solution
No 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: 92:[78, 61], Operations: ['8+70=78', '52+9=61']
Exploring Operation: 78-61=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 78+61=139, Resulting Numbers: [139]
139,92 unequal: No Solution
Exploring Operation: 78*61=4758, Resulting Numbers: [4758]
4758,92 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: 92:[52, 8, 61], Operations: ['70-9=61']
Exploring Operation: 52-8=44, Resulting Numbers: [61, 44]
Generated Node #0,3,0: 92:[61, 44] Operation: 52-8=44
Exploring Operation: 52+61=113, Resulting Numbers: [8, 113]
Generated Node #0,3,1: 92:[8, 113] Operation: 52+61=113
Exploring Operation: 61-52=9, Resulting Numbers: [8, 9]
Generated Node #0,3,2: 92:[8, 9] Operation: 61-52=9
Exploring Operation: 61-8=53, Resulting Numbers: [52, 53]
Generated Node #0,3,3: 92:[52, 53] Operation: 61-8=53
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 92:[8, 9], Operations: ['70-9=61', '61-52=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,92 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,92 unequal: No Solution
No 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: 92:[52, 53], Operations: ['70-9=61', '61-8=53']
Exploring Operation: 53-52=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 52+53=105, Resulting Numbers: [105]
105,92 unequal: No Solution
Exploring Operation: 52*53=2756, Resulting Numbers: [2756]
2756,92 unequal: No Solution
No 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: 92:[61, 44], Operations: ['70-9=61', '52-8=44']
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 61*44=2684, Resulting Numbers: [2684]
2684,92 unequal: No Solution
Exploring Operation: 61+44=105, Resulting Numbers: [105]
105,92 unequal: No Solution
No 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: 92:[8, 113], Operations: ['70-9=61', '52+61=113']
Exploring Operation: 8+113=121, Resulting Numbers: [121]
121,92 unequal: No Solution
Exploring Operation: 8*113=904, Resulting Numbers: [904]
904,92 unequal: No Solution
Exploring Operation: 113-8=105, Resulting Numbers: [105]
105,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
13,
87,
3,
59
] | 51 | [
"59-13=46",
"3*46=138",
"138-87=51"
] | Current State: 51:[13, 87, 3, 59], Operations: []
Exploring Operation: 59-13=46, Resulting Numbers: [87, 3, 46]
Generated Node #2: [87, 3, 46] from Operation: 59-13=46
Current State: 51:[87, 3, 46], Operations: ['59-13=46']
Exploring Operation: 3*46=138, Resulting Numbers: [87, 138]
Generated Node #3: [87, 138] from Operation: 3*46=138
Current State: 51:[87, 138], Operations: ['59-13=46', '3*46=138']
Exploring Operation: 138-87=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[13, 87, 3, 59], Operations: []
Exploring Operation: 87-59=28, Resulting Numbers: [13, 3, 28]
Generated Node #0,0: 51:[13, 3, 28] Operation: 87-59=28
Moving to Node #0,0
Current State: 51:[13, 3, 28], Operations: ['87-59=28']
Exploring Operation: 28-13=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 51:[3, 15] Operation: 28-13=15
Moving to Node #0,0,0
Current State: 51:[3, 15], Operations: ['87-59=28', '28-13=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,51 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
76,
6,
84,
83
] | 21 | [
"83-76=7",
"84/6=14",
"7+14=21"
] | Current State: 21:[76, 6, 84, 83], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [6, 84, 7]
Generated Node #2: [6, 84, 7] from Operation: 83-76=7
Current State: 21:[6, 84, 7], Operations: ['83-76=7']
Exploring Operation: 84/6=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 84/6=14
Current State: 21:[7, 14], Operations: ['83-76=7', '84/6=14']
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[76, 6, 84, 83], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [6, 84, 7]
Generated Node #0,0: 21:[6, 84, 7] Operation: 83-76=7
Exploring Operation: 84/6=14, Resulting Numbers: [76, 83, 14]
Generated Node #0,1: 21:[76, 83, 14] Operation: 84/6=14
Exploring Operation: 84-76=8, Resulting Numbers: [6, 83, 8]
Generated Node #0,2: 21:[6, 83, 8] Operation: 84-76=8
Exploring Operation: 84-83=1, Resulting Numbers: [76, 6, 1]
Generated Node #0,3: 21:[76, 6, 1] Operation: 84-83=1
Moving to Node #0,3
Current State: 21:[76, 6, 1], Operations: ['84-83=1']
Exploring Operation: 76-6=70, Resulting Numbers: [1, 70]
Generated Node #0,3,0: 21:[1, 70] Operation: 76-6=70
Exploring Operation: 76-1=75, Resulting Numbers: [6, 75]
Generated Node #0,3,1: 21:[6, 75] Operation: 76-1=75
Exploring Operation: 6+1=7, Resulting Numbers: [76, 7]
Generated Node #0,3,2: 21:[76, 7] Operation: 6+1=7
Exploring Operation: 76*1=76, Resulting Numbers: [6, 76]
Generated Node #0,3,3: 21:[6, 76] Operation: 76*1=76
Moving to Node #0,2
Current State: 21:[6, 83, 8], Operations: ['84-76=8']
Exploring Operation: 8-6=2, Resulting Numbers: [83, 2]
Generated Node #0,2,0: 21:[83, 2] Operation: 8-6=2
Exploring Operation: 83-8=75, Resulting Numbers: [6, 75]
Generated Node #0,2,1: 21:[6, 75] Operation: 83-8=75
Exploring Operation: 6+83=89, Resulting Numbers: [8, 89]
Generated Node #0,2,2: 21:[8, 89] Operation: 6+83=89
Exploring Operation: 83-6=77, Resulting Numbers: [8, 77]
Generated Node #0,2,3: 21:[8, 77] Operation: 83-6=77
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 21:[6, 75], Operations: ['84-76=8', '83-8=75']
Exploring Operation: 6*75=450, Resulting Numbers: [450]
450,21 unequal: No Solution
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,21 unequal: No Solution
Exploring Operation: 6+75=81, Resulting Numbers: [81]
81,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 21:[8, 77], Operations: ['84-76=8', '83-6=77']
Exploring Operation: 8+77=85, Resulting Numbers: [85]
85,21 unequal: No Solution
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,21 unequal: No Solution
Exploring Operation: 8*77=616, Resulting Numbers: [616]
616,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[83, 2], Operations: ['84-76=8', '8-6=2']
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,21 unequal: No Solution
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,21 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 21:[8, 89], Operations: ['84-76=8', '6+83=89']
Exploring Operation: 8*89=712, Resulting Numbers: [712]
712,21 unequal: No Solution
Exploring Operation: 8+89=97, Resulting Numbers: [97]
97,21 unequal: No Solution
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,21 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: 21:[6, 84, 7], Operations: ['83-76=7']
Exploring Operation: 84/6=14, Resulting Numbers: [7, 14]
Generated Node #0,0,0: 21:[7, 14] Operation: 84/6=14
Exploring Operation: 84/7=12, Resulting Numbers: [6, 12]
Generated Node #0,0,1: 21:[6, 12] Operation: 84/7=12
Exploring Operation: 84-6=78, Resulting Numbers: [7, 78]
Generated Node #0,0,2: 21:[7, 78] Operation: 84-6=78
Exploring Operation: 84-7=77, Resulting Numbers: [6, 77]
Generated Node #0,0,3: 21:[6, 77] Operation: 84-7=77
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 21:[6, 12], Operations: ['83-76=7', '84/7=12']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,21 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[7, 14], Operations: ['83-76=7', '84/6=14']
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,21 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[76, 6, 84, 83], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [6, 84, 7]
Generated Node #0,0: 21:[6, 84, 7] Operation: 83-76=7
Moving to Node #0,0
Current State: 21:[6, 84, 7], Operations: ['83-76=7']
Exploring Operation: 84/6=14, Resulting Numbers: [7, 14]
Generated Node #0,0,0: 21:[7, 14] Operation: 84/6=14
Moving to Node #0,0,0
Current State: 21:[7, 14], Operations: ['83-76=7', '84/6=14']
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_4 | sum_heuristic |
[
37,
37,
34,
16
] | 85 | [
"37-34=3",
"16*3=48",
"37+48=85"
] | Current State: 85:[37, 37, 34, 16], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [16, 3]
Generated Node #2: [16, 3] from Operation: 37-34=3
Current State: 85:[16, 3], Operations: ['37-34=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,85 equal: Goal Reached
Exploring Operation: 37+48=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[37, 37, 34, 16], Operations: []
Exploring Operation: 37/37=1, Resulting Numbers: [34, 16, 1]
Generated Node #0,0: 85:[34, 16, 1] Operation: 37/37=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[34, 16, 1], Operations: ['37/37=1']
Exploring Operation: 34-16=18, Resulting Numbers: [1, 18]
Generated Node #0,0,0: 85:[1, 18] Operation: 34-16=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[1, 18], Operations: ['37/37=1', '34-16=18']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
41,
40,
19
] | 48 | [
"40-19=21",
"21/3=7",
"41+7=48"
] | Current State: 48:[3, 41, 40, 19], Operations: []
Exploring Operation: 40-19=21, Resulting Numbers: [3, 41, 21]
Generated Node #2: [3, 41, 21] from Operation: 40-19=21
Current State: 48:[3, 41, 21], Operations: ['40-19=21']
Exploring Operation: 21/3=7, Resulting Numbers: [41, 7]
Generated Node #3: [41, 7] from Operation: 21/3=7
Current State: 48:[41, 7], Operations: ['40-19=21', '21/3=7']
Exploring Operation: 41+7=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[3, 41, 40, 19], Operations: []
Exploring Operation: 41-19=22, Resulting Numbers: [3, 40, 22]
Generated Node #0,0: 48:[3, 40, 22] Operation: 41-19=22
Exploring Operation: 41-40=1, Resulting Numbers: [3, 19, 1]
Generated Node #0,1: 48:[3, 19, 1] Operation: 41-40=1
Moving to Node #0,1
Current State: 48:[3, 19, 1], Operations: ['41-40=1']
Exploring Operation: 19-1=18, Resulting Numbers: [3, 18]
Generated Node #0,1,0: 48:[3, 18] Operation: 19-1=18
Exploring Operation: 19-3=16, Resulting Numbers: [1, 16]
Generated Node #0,1,1: 48:[1, 16] Operation: 19-3=16
Moving to Node #0,0
Current State: 48:[3, 40, 22], Operations: ['41-19=22']
Exploring Operation: 3+40=43, Resulting Numbers: [22, 43]
Generated Node #0,0,0: 48:[22, 43] Operation: 3+40=43
Exploring Operation: 40-22=18, Resulting Numbers: [3, 18]
Generated Node #0,0,1: 48:[3, 18] Operation: 40-22=18
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[3, 18], Operations: ['41-19=22', '40-22=18']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[22, 43], Operations: ['41-19=22', '3+40=43']
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 22+43=65, Resulting Numbers: [65]
65,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 48:[1, 16], Operations: ['41-40=1', '19-3=16']
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[3, 18], Operations: ['41-40=1', '19-1=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,48 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
4,
90,
48,
84
] | 57 | [
"48+84=132",
"132/4=33",
"90-33=57"
] | Current State: 57:[4, 90, 48, 84], Operations: []
Exploring Operation: 48+84=132, Resulting Numbers: [4, 90, 132]
Generated Node #2: [4, 90, 132] from Operation: 48+84=132
Current State: 57:[4, 90, 132], Operations: ['48+84=132']
Exploring Operation: 132/4=33, Resulting Numbers: [90, 33]
Generated Node #3: [90, 33] from Operation: 132/4=33
Current State: 57:[90, 33], Operations: ['48+84=132', '132/4=33']
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[4, 90, 48, 84], Operations: []
Exploring Operation: 90-48=42, Resulting Numbers: [4, 84, 42]
Generated Node #0,0: 57:[4, 84, 42] Operation: 90-48=42
Exploring Operation: 90-4=86, Resulting Numbers: [48, 84, 86]
Generated Node #0,1: 57:[48, 84, 86] Operation: 90-4=86
Exploring Operation: 84/4=21, Resulting Numbers: [90, 48, 21]
Generated Node #0,2: 57:[90, 48, 21] Operation: 84/4=21
Exploring Operation: 90-84=6, Resulting Numbers: [4, 48, 6]
Generated Node #0,3: 57:[4, 48, 6] Operation: 90-84=6
Exploring Operation: 84-48=36, Resulting Numbers: [4, 90, 36]
Generated Node #0,4: 57:[4, 90, 36] Operation: 84-48=36
Moving to Node #0,3
Current State: 57:[4, 48, 6], Operations: ['90-84=6']
Exploring Operation: 48/4=12, Resulting Numbers: [6, 12]
Generated Node #0,3,0: 57:[6, 12] Operation: 48/4=12
Exploring Operation: 6-4=2, Resulting Numbers: [48, 2]
Generated Node #0,3,1: 57:[48, 2] Operation: 6-4=2
Exploring Operation: 48/6=8, Resulting Numbers: [4, 8]
Generated Node #0,3,2: 57:[4, 8] Operation: 48/6=8
Exploring Operation: 48+6=54, Resulting Numbers: [4, 54]
Generated Node #0,3,3: 57:[4, 54] Operation: 48+6=54
Exploring Operation: 4+48=52, Resulting Numbers: [6, 52]
Generated Node #0,3,4: 57:[6, 52] Operation: 4+48=52
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 57:[4, 54], Operations: ['90-84=6', '48+6=54']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,57 unequal: No Solution
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,57 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:[4, 8], Operations: ['90-84=6', '48/6=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,57 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,57 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 #0,3,4
Current State: 57:[6, 52], Operations: ['90-84=6', '4+48=52']
Exploring Operation: 6+52=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 6*52=312, Resulting Numbers: [312]
312,57 unequal: No Solution
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,57 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:[6, 12], Operations: ['90-84=6', '48/4=12']
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,57 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:[48, 2], Operations: ['90-84=6', '6-4=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,57 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,57 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,57 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:[4, 84, 42], Operations: ['90-48=42']
Exploring Operation: 4+42=46, Resulting Numbers: [84, 46]
Generated Node #0,0,0: 57:[84, 46] Operation: 4+42=46
Exploring Operation: 84-42=42, Resulting Numbers: [4, 42]
Generated Node #0,0,1: 57:[4, 42] Operation: 84-42=42
Exploring Operation: 84-4=80, Resulting Numbers: [42, 80]
Generated Node #0,0,2: 57:[42, 80] Operation: 84-4=80
Exploring Operation: 84/4=21, Resulting Numbers: [42, 21]
Generated Node #0,0,3: 57:[42, 21] Operation: 84/4=21
Exploring Operation: 84/42=2, Resulting Numbers: [4, 2]
Generated Node #0,0,4: 57:[4, 2] Operation: 84/42=2
Moving to Node #0,2
Current State: 57:[90, 48, 21], Operations: ['84/4=21']
Exploring Operation: 90+21=111, Resulting Numbers: [48, 111]
Generated Node #0,2,0: 57:[48, 111] Operation: 90+21=111
Exploring Operation: 90-21=69, Resulting Numbers: [48, 69]
Generated Node #0,2,1: 57:[48, 69] Operation: 90-21=69
Exploring Operation: 90-48=42, Resulting Numbers: [21, 42]
Generated Node #0,2,2: 57:[21, 42] Operation: 90-48=42
Exploring Operation: 48-21=27, Resulting Numbers: [90, 27]
Generated Node #0,2,3: 57:[90, 27] Operation: 48-21=27
Exploring Operation: 48+21=69, Resulting Numbers: [90, 69]
Generated Node #0,2,4: 57:[90, 69] Operation: 48+21=69
Moving to Node #0,4
Current State: 57:[4, 90, 36], Operations: ['84-48=36']
Exploring Operation: 36-4=32, Resulting Numbers: [90, 32]
Generated Node #0,4,0: 57:[90, 32] Operation: 36-4=32
Exploring Operation: 90-4=86, Resulting Numbers: [36, 86]
Generated Node #0,4,1: 57:[36, 86] Operation: 90-4=86
Exploring Operation: 90-36=54, Resulting Numbers: [4, 54]
Generated Node #0,4,2: 57:[4, 54] Operation: 90-36=54
Exploring Operation: 36/4=9, Resulting Numbers: [90, 9]
Generated Node #0,4,3: 57:[90, 9] Operation: 36/4=9
Exploring Operation: 4+36=40, Resulting Numbers: [90, 40]
Generated Node #0,4,4: 57:[90, 40] Operation: 4+36=40
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 57:[4, 54], Operations: ['84-48=36', '90-36=54']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,57 unequal: No Solution
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,57 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 #0,4,3
Current State: 57:[90, 9], Operations: ['84-48=36', '36/4=9']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,57 unequal: No Solution
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,57 unequal: No Solution
Exploring Operation: 90*9=810, Resulting Numbers: [810]
810,57 unequal: No Solution
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,57 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 #0,4,0
Current State: 57:[90, 32], Operations: ['84-48=36', '36-4=32']
Exploring Operation: 90-32=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 90*32=2880, Resulting Numbers: [2880]
2880,57 unequal: No Solution
Exploring Operation: 90+32=122, Resulting Numbers: [122]
122,57 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 #0,4,1
Current State: 57:[36, 86], Operations: ['84-48=36', '90-4=86']
Exploring Operation: 36*86=3096, Resulting Numbers: [3096]
3096,57 unequal: No Solution
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 36+86=122, Resulting Numbers: [122]
122,57 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 #0,4,4
Current State: 57:[90, 40], Operations: ['84-48=36', '4+36=40']
Exploring Operation: 90*40=3600, Resulting Numbers: [3600]
3600,57 unequal: No Solution
Exploring Operation: 90+40=130, Resulting Numbers: [130]
130,57 unequal: No Solution
Exploring Operation: 90-40=50, Resulting Numbers: [50]
50,57 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: 57:[48, 84, 86], Operations: ['90-4=86']
Exploring Operation: 48+86=134, Resulting Numbers: [84, 134]
Generated Node #0,1,0: 57:[84, 134] Operation: 48+86=134
Exploring Operation: 48+84=132, Resulting Numbers: [86, 132]
Generated Node #0,1,1: 57:[86, 132] Operation: 48+84=132
Exploring Operation: 84-48=36, Resulting Numbers: [86, 36]
Generated Node #0,1,2: 57:[86, 36] Operation: 84-48=36
Exploring Operation: 86-84=2, Resulting Numbers: [48, 2]
Generated Node #0,1,3: 57:[48, 2] Operation: 86-84=2
Exploring Operation: 86-48=38, Resulting Numbers: [84, 38]
Generated Node #0,1,4: 57:[84, 38] Operation: 86-48=38
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 57:[48, 2], Operations: ['90-4=86', '86-84=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,57 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,57 unequal: No Solution
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,57 unequal: No Solution
Exploring Operation: 48+2=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 #0,1,2
Current State: 57:[86, 36], Operations: ['90-4=86', '84-48=36']
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 86+36=122, Resulting Numbers: [122]
122,57 unequal: No Solution
Exploring Operation: 86*36=3096, Resulting Numbers: [3096]
3096,57 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 #0,1,4
Current State: 57:[84, 38], Operations: ['90-4=86', '86-48=38']
Exploring Operation: 84+38=122, Resulting Numbers: [122]
122,57 unequal: No Solution
Exploring Operation: 84-38=46, Resulting Numbers: [46]
46,57 unequal: No Solution
Exploring Operation: 84*38=3192, Resulting Numbers: [3192]
3192,57 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 #0,1,0
Current State: 57:[84, 134], Operations: ['90-4=86', '48+86=134']
Exploring Operation: 134-84=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 84*134=11256, Resulting Numbers: [11256]
11256,57 unequal: No Solution
Exploring Operation: 84+134=218, Resulting Numbers: [218]
218,57 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 #0,1,1
Current State: 57:[86, 132], Operations: ['90-4=86', '48+84=132']
Exploring Operation: 132-86=46, Resulting Numbers: [46]
46,57 unequal: No Solution
Exploring Operation: 86*132=11352, Resulting Numbers: [11352]
11352,57 unequal: No Solution
Exploring Operation: 86+132=218, Resulting Numbers: [218]
218,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,4
Current State: 57:[4, 2], Operations: ['90-48=42', '84/42=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[4, 42], Operations: ['90-48=42', '84-42=42']
Exploring Operation: 4*42=168, Resulting Numbers: [168]
168,57 unequal: No Solution
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,57 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Moving to Node #0,0,3
Current State: 57:[42, 21], Operations: ['90-48=42', '84/4=21']
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,57 unequal: No Solution
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,57 unequal: No Solution
Exploring Operation: 42*21=882, Resulting Numbers: [882]
882,57 unequal: No Solution
Moving to Node #0,2,2
Current State: 57:[21, 42], Operations: ['84/4=21', '90-48=42']
Exploring Operation: 21*42=882, Resulting Numbers: [882]
882,57 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 21+42=63, Resulting Numbers: [63]
63,57 unequal: No Solution
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,57 unequal: No Solution
Moving to Node #0,2,1
Current State: 57:[48, 69], Operations: ['84/4=21', '90-21=69']
Exploring Operation: 48+69=117, Resulting Numbers: [117]
117,57 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,57 unequal: No Solution
Exploring Operation: 48*69=3312, Resulting Numbers: [3312]
3312,57 unequal: No Solution
Moving to Node #0,0,2
Current State: 57:[42, 80], Operations: ['90-48=42', '84-4=80']
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Exploring Operation: 42*80=3360, Resulting Numbers: [3360]
3360,57 unequal: No Solution
Exploring Operation: 42+80=122, Resulting Numbers: [122]
122,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[84, 46], Operations: ['90-48=42', '4+42=46']
Exploring Operation: 84+46=130, Resulting Numbers: [130]
130,57 unequal: No Solution
Exploring Operation: 84*46=3864, Resulting Numbers: [3864]
3864,57 unequal: No Solution
Exploring Operation: 84-46=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Moving to Node #0,2,3
Current State: 57:[90, 27], Operations: ['84/4=21', '48-21=27']
Exploring Operation: 90+27=117, Resulting Numbers: [117]
117,57 unequal: No Solution
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,57 unequal: No Solution
Exploring Operation: 90*27=2430, Resulting Numbers: [2430]
2430,57 unequal: No Solution
Moving to Node #0,2,4
Current State: 57:[90, 69], Operations: ['84/4=21', '48+21=69']
Exploring Operation: 90-69=21, Resulting Numbers: [21]
21,57 unequal: No Solution
Exploring Operation: 90+69=159, Resulting Numbers: [159]
159,57 unequal: No Solution
Exploring Operation: 90*69=6210, Resulting Numbers: [6210]
6210,57 unequal: No Solution
Moving to Node #0,2,0
Current State: 57:[48, 111], Operations: ['84/4=21', '90+21=111']
Exploring Operation: 111-48=63, Resulting Numbers: [63]
63,57 unequal: No Solution
Exploring Operation: 48+111=159, Resulting Numbers: [159]
159,57 unequal: No Solution
Exploring Operation: 48*111=5328, Resulting Numbers: [5328]
5328,57 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
8,
15,
86,
11
] | 88 | [
"15-11=4",
"8/4=2",
"86+2=88"
] | Current State: 88:[8, 15, 86, 11], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [8, 86, 4]
Generated Node #2: [8, 86, 4] from Operation: 15-11=4
Current State: 88:[8, 86, 4], Operations: ['15-11=4']
Exploring Operation: 8/4=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 8/4=2
Current State: 88:[86, 2], Operations: ['15-11=4', '8/4=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[8, 15, 86, 11], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [8, 86, 4]
Generated Node #0,0: 88:[8, 86, 4] Operation: 15-11=4
Moving to Node #0,0
Current State: 88:[8, 86, 4], Operations: ['15-11=4']
Exploring Operation: 8-4=4, Resulting Numbers: [86, 4]
Generated Node #0,0,0: 88:[86, 4] Operation: 8-4=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[86, 4], Operations: ['15-11=4', '8-4=4']
Exploring Operation: 86+4=90, Resulting Numbers: [90]
90,88 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 |
[
20,
3,
67,
24
] | 25 | [
"67-20=47",
"3*24=72",
"72-47=25"
] | Current State: 25:[20, 3, 67, 24], Operations: []
Exploring Operation: 67-20=47, Resulting Numbers: [3, 24, 47]
Generated Node #2: [3, 24, 47] from Operation: 67-20=47
Current State: 25:[3, 24, 47], Operations: ['67-20=47']
Exploring Operation: 3*24=72, Resulting Numbers: [47, 72]
Generated Node #3: [47, 72] from Operation: 3*24=72
Current State: 25:[47, 72], Operations: ['67-20=47', '3*24=72']
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[20, 3, 67, 24], Operations: []
Exploring Operation: 67-20=47, Resulting Numbers: [3, 24, 47]
Generated Node #0,0: 25:[3, 24, 47] Operation: 67-20=47
Exploring Operation: 67-24=43, Resulting Numbers: [20, 3, 43]
Generated Node #0,1: 25:[20, 3, 43] Operation: 67-24=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[3, 24, 47], Operations: ['67-20=47']
Exploring Operation: 47-24=23, Resulting Numbers: [3, 23]
Generated Node #0,0,0: 25:[3, 23] Operation: 47-24=23
Exploring Operation: 47-3=44, Resulting Numbers: [24, 44]
Generated Node #0,0,1: 25:[24, 44] Operation: 47-3=44
Moving to Node #0,0,0
Current State: 25:[3, 23], Operations: ['67-20=47', '47-24=23']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[24, 44], Operations: ['67-20=47', '47-3=44']
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Exploring Operation: 24+44=68, Resulting Numbers: [68]
68,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[20, 3, 43], Operations: ['67-24=43']
Exploring Operation: 20+3=23, Resulting Numbers: [43, 23]
Generated Node #0,1,0: 25:[43, 23] Operation: 20+3=23
Exploring Operation: 43-20=23, Resulting Numbers: [3, 23]
Generated Node #0,1,1: 25:[3, 23] Operation: 43-20=23
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 25:[3, 23], Operations: ['67-24=43', '43-20=23']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 25:[43, 23], Operations: ['67-24=43', '20+3=23']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Exploring Operation: 43+23=66, Resulting Numbers: [66]
66,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
58,
38,
96,
92
] | 24 | [
"58+38=96",
"96-92=4",
"96/4=24"
] | Current State: 24:[58, 38, 96, 92], Operations: []
Exploring Operation: 58+38=96, Resulting Numbers: [96, 92, 96]
Generated Node #2: [96, 92, 96] from Operation: 58+38=96
Current State: 24:[96, 92, 96], Operations: ['58+38=96']
Exploring Operation: 96-92=4, Resulting Numbers: [4]
4,24 equal: Goal Reached
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[58, 38, 96, 92], Operations: []
Exploring Operation: 92-58=34, Resulting Numbers: [38, 96, 34]
Generated Node #0,0: 24:[38, 96, 34] Operation: 92-58=34
Exploring Operation: 96-92=4, Resulting Numbers: [58, 38, 4]
Generated Node #0,1: 24:[58, 38, 4] Operation: 96-92=4
Exploring Operation: 92-38=54, Resulting Numbers: [58, 96, 54]
Generated Node #0,2: 24:[58, 96, 54] Operation: 92-38=54
Exploring Operation: 96-58=38, Resulting Numbers: [38, 92, 38]
Generated Node #0,3: 24:[38, 92, 38] Operation: 96-58=38
Exploring Operation: 96-38=58, Resulting Numbers: [58, 92, 58]
Generated Node #0,4: 24:[58, 92, 58] Operation: 96-38=58
Moving to Node #0,1
Current State: 24:[58, 38, 4], Operations: ['96-92=4']
Exploring Operation: 38+4=42, Resulting Numbers: [58, 42]
Generated Node #0,1,0: 24:[58, 42] Operation: 38+4=42
Exploring Operation: 58-38=20, Resulting Numbers: [4, 20]
Generated Node #0,1,1: 24:[4, 20] Operation: 58-38=20
Exploring Operation: 38-4=34, Resulting Numbers: [58, 34]
Generated Node #0,1,2: 24:[58, 34] Operation: 38-4=34
Exploring Operation: 58-4=54, Resulting Numbers: [38, 54]
Generated Node #0,1,3: 24:[38, 54] Operation: 58-4=54
Exploring Operation: 58+4=62, Resulting Numbers: [38, 62]
Generated Node #0,1,4: 24:[38, 62] Operation: 58+4=62
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[4, 20], Operations: ['96-92=4', '58-38=20']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,24 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[58, 38, 96, 92], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [58, 38, 4]
Generated Node #0,1: 24:[58, 38, 4] Operation: 96-92=4
Moving to Node #0,1
Current State: 24:[58, 38, 4], Operations: ['96-92=4']
Exploring Operation: 58-38=20, Resulting Numbers: [4, 20]
Generated Node #0,1,1: 24:[4, 20] Operation: 58-38=20
Moving to Node #0,1,1
Current State: 24:[4, 20], Operations: ['96-92=4', '58-38=20']
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
2,
33,
90,
97
] | 87 | [
"2+97=99",
"99/33=3",
"90-3=87"
] | Current State: 87:[2, 33, 90, 97], Operations: []
Exploring Operation: 2+97=99, Resulting Numbers: [33, 90, 99]
Generated Node #2: [33, 90, 99] from Operation: 2+97=99
Current State: 87:[33, 90, 99], Operations: ['2+97=99']
Exploring Operation: 99/33=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 99/33=3
Current State: 87:[90, 3], Operations: ['2+97=99', '99/33=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[2, 33, 90, 97], Operations: []
Exploring Operation: 90-2=88, Resulting Numbers: [33, 97, 88]
Generated Node #0,0: 87:[33, 97, 88] Operation: 90-2=88
Exploring Operation: 97-90=7, Resulting Numbers: [2, 33, 7]
Generated Node #0,1: 87:[2, 33, 7] Operation: 97-90=7
Exploring Operation: 97-2=95, Resulting Numbers: [33, 90, 95]
Generated Node #0,2: 87:[33, 90, 95] Operation: 97-2=95
Exploring Operation: 33-2=31, Resulting Numbers: [90, 97, 31]
Generated Node #0,3: 87:[90, 97, 31] Operation: 33-2=31
Exploring Operation: 2+33=35, Resulting Numbers: [90, 97, 35]
Generated Node #0,4: 87:[90, 97, 35] Operation: 2+33=35
Moving to Node #0,1
Current State: 87:[2, 33, 7], Operations: ['97-90=7']
Exploring Operation: 7-2=5, Resulting Numbers: [33, 5]
Generated Node #0,1,0: 87:[33, 5] Operation: 7-2=5
Exploring Operation: 2+33=35, Resulting Numbers: [7, 35]
Generated Node #0,1,1: 87:[7, 35] Operation: 2+33=35
Exploring Operation: 33-7=26, Resulting Numbers: [2, 26]
Generated Node #0,1,2: 87:[2, 26] Operation: 33-7=26
Exploring Operation: 2+7=9, Resulting Numbers: [33, 9]
Generated Node #0,1,3: 87:[33, 9] Operation: 2+7=9
Exploring Operation: 33-2=31, Resulting Numbers: [7, 31]
Generated Node #0,1,4: 87:[7, 31] Operation: 33-2=31
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[2, 26], Operations: ['97-90=7', '33-7=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,87 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,87 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[33, 5], Operations: ['97-90=7', '7-2=5']
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Exploring Operation: 33*5=165, Resulting Numbers: [165]
165,87 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 87:[7, 31], Operations: ['97-90=7', '33-2=31']
Exploring Operation: 7*31=217, Resulting Numbers: [217]
217,87 unequal: No Solution
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[7, 35], Operations: ['97-90=7', '2+33=35']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,87 unequal: No Solution
Exploring Operation: 35/7=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 7+35=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 7*35=245, Resulting Numbers: [245]
245,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 87:[33, 9], Operations: ['97-90=7', '2+7=9']
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 33*9=297, Resulting Numbers: [297]
297,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 87:[33, 90, 95], Operations: ['97-2=95']
Exploring Operation: 90-33=57, Resulting Numbers: [95, 57]
Generated Node #0,2,0: 87:[95, 57] Operation: 90-33=57
Exploring Operation: 95-90=5, Resulting Numbers: [33, 5]
Generated Node #0,2,1: 87:[33, 5] Operation: 95-90=5
Exploring Operation: 33+95=128, Resulting Numbers: [90, 128]
Generated Node #0,2,2: 87:[90, 128] Operation: 33+95=128
Exploring Operation: 95-33=62, Resulting Numbers: [90, 62]
Generated Node #0,2,3: 87:[90, 62] Operation: 95-33=62
Exploring Operation: 33+90=123, Resulting Numbers: [95, 123]
Generated Node #0,2,4: 87:[95, 123] Operation: 33+90=123
Moving to Node #0,0
Current State: 87:[33, 97, 88], Operations: ['90-2=88']
Exploring Operation: 33+88=121, Resulting Numbers: [97, 121]
Generated Node #0,0,0: 87:[97, 121] Operation: 33+88=121
Exploring Operation: 97-88=9, Resulting Numbers: [33, 9]
Generated Node #0,0,1: 87:[33, 9] Operation: 97-88=9
Exploring Operation: 88-33=55, Resulting Numbers: [97, 55]
Generated Node #0,0,2: 87:[97, 55] Operation: 88-33=55
Exploring Operation: 97-33=64, Resulting Numbers: [88, 64]
Generated Node #0,0,3: 87:[88, 64] Operation: 97-33=64
Exploring Operation: 33+97=130, Resulting Numbers: [88, 130]
Generated Node #0,0,4: 87:[88, 130] Operation: 33+97=130
Moving to Node #0,3
Current State: 87:[90, 97, 31], Operations: ['33-2=31']
Exploring Operation: 97+31=128, Resulting Numbers: [90, 128]
Generated Node #0,3,0: 87:[90, 128] Operation: 97+31=128
Exploring Operation: 97-31=66, Resulting Numbers: [90, 66]
Generated Node #0,3,1: 87:[90, 66] Operation: 97-31=66
Exploring Operation: 97-90=7, Resulting Numbers: [31, 7]
Generated Node #0,3,2: 87:[31, 7] Operation: 97-90=7
Exploring Operation: 90+31=121, Resulting Numbers: [97, 121]
Generated Node #0,3,3: 87:[97, 121] Operation: 90+31=121
Exploring Operation: 90-31=59, Resulting Numbers: [97, 59]
Generated Node #0,3,4: 87:[97, 59] Operation: 90-31=59
Moving to Node #0,4
Current State: 87:[90, 97, 35], Operations: ['2+33=35']
Exploring Operation: 90+35=125, Resulting Numbers: [97, 125]
Generated Node #0,4,0: 87:[97, 125] Operation: 90+35=125
Exploring Operation: 97-90=7, Resulting Numbers: [35, 7]
Generated Node #0,4,1: 87:[35, 7] Operation: 97-90=7
Exploring Operation: 97+35=132, Resulting Numbers: [90, 132]
Generated Node #0,4,2: 87:[90, 132] Operation: 97+35=132
Exploring Operation: 90-35=55, Resulting Numbers: [97, 55]
Generated Node #0,4,3: 87:[97, 55] Operation: 90-35=55
Exploring Operation: 97-35=62, Resulting Numbers: [90, 62]
Generated Node #0,4,4: 87:[90, 62] Operation: 97-35=62
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 87:[35, 7], Operations: ['2+33=35', '97-90=7']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,87 unequal: No Solution
Exploring Operation: 35+7=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 35*7=245, Resulting Numbers: [245]
245,87 unequal: No Solution
Exploring Operation: 35/7=5, Resulting Numbers: [5]
5,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 87:[90, 62], Operations: ['2+33=35', '97-35=62']
Exploring Operation: 90+62=152, Resulting Numbers: [152]
152,87 unequal: No Solution
Exploring Operation: 90*62=5580, Resulting Numbers: [5580]
5580,87 unequal: No Solution
Exploring Operation: 90-62=28, Resulting Numbers: [28]
28,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 87:[97, 55], Operations: ['2+33=35', '90-35=55']
Exploring Operation: 97*55=5335, Resulting Numbers: [5335]
5335,87 unequal: No Solution
Exploring Operation: 97+55=152, Resulting Numbers: [152]
152,87 unequal: No Solution
Exploring Operation: 97-55=42, Resulting Numbers: [42]
42,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 87:[97, 125], Operations: ['2+33=35', '90+35=125']
Exploring Operation: 125-97=28, Resulting Numbers: [28]
28,87 unequal: No Solution
Exploring Operation: 97*125=12125, Resulting Numbers: [12125]
12125,87 unequal: No Solution
Exploring Operation: 97+125=222, Resulting Numbers: [222]
222,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 87:[90, 132], Operations: ['2+33=35', '97+35=132']
Exploring Operation: 132-90=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 90+132=222, Resulting Numbers: [222]
222,87 unequal: No Solution
Exploring Operation: 90*132=11880, Resulting Numbers: [11880]
11880,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 87:[33, 5], Operations: ['97-2=95', '95-90=5']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,87 unequal: No Solution
Exploring Operation: 33*5=165, Resulting Numbers: [165]
165,87 unequal: No Solution
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Moving to Node #0,3,2
Current State: 87:[31, 7], Operations: ['33-2=31', '97-90=7']
Exploring Operation: 31*7=217, Resulting Numbers: [217]
217,87 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[33, 9], Operations: ['90-2=88', '97-88=9']
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 33*9=297, Resulting Numbers: [297]
297,87 unequal: No Solution
Moving to Node #0,0,3
Current State: 87:[88, 64], Operations: ['90-2=88', '97-33=64']
Exploring Operation: 88-64=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 88+64=152, Resulting Numbers: [152]
152,87 unequal: No Solution
Exploring Operation: 88*64=5632, Resulting Numbers: [5632]
5632,87 unequal: No Solution
Moving to Node #0,3,1
Current State: 87:[90, 66], Operations: ['33-2=31', '97-31=66']
Exploring Operation: 90-66=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 90*66=5940, Resulting Numbers: [5940]
5940,87 unequal: No Solution
Exploring Operation: 90+66=156, Resulting Numbers: [156]
156,87 unequal: No Solution
Moving to Node #0,2,3
Current State: 87:[90, 62], Operations: ['97-2=95', '95-33=62']
Exploring Operation: 90*62=5580, Resulting Numbers: [5580]
5580,87 unequal: No Solution
Exploring Operation: 90-62=28, Resulting Numbers: [28]
28,87 unequal: No Solution
Exploring Operation: 90+62=152, Resulting Numbers: [152]
152,87 unequal: No Solution
Moving to Node #0,2,0
Current State: 87:[95, 57], Operations: ['97-2=95', '90-33=57']
Exploring Operation: 95*57=5415, Resulting Numbers: [5415]
5415,87 unequal: No Solution
Exploring Operation: 95+57=152, Resulting Numbers: [152]
152,87 unequal: No Solution
Exploring Operation: 95-57=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Moving to Node #0,0,2
Current State: 87:[97, 55], Operations: ['90-2=88', '88-33=55']
Exploring Operation: 97-55=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 97+55=152, Resulting Numbers: [152]
152,87 unequal: No Solution
Exploring Operation: 97*55=5335, Resulting Numbers: [5335]
5335,87 unequal: No Solution
Moving to Node #0,3,4
Current State: 87:[97, 59], Operations: ['33-2=31', '90-31=59']
Exploring Operation: 97-59=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Exploring Operation: 97*59=5723, Resulting Numbers: [5723]
5723,87 unequal: No Solution
Exploring Operation: 97+59=156, Resulting Numbers: [156]
156,87 unequal: No Solution
Moving to Node #0,3,0
Current State: 87:[90, 128], Operations: ['33-2=31', '97+31=128']
Exploring Operation: 128-90=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Exploring Operation: 90+128=218, Resulting Numbers: [218]
218,87 unequal: No Solution
Exploring Operation: 90*128=11520, Resulting Numbers: [11520]
11520,87 unequal: No Solution
Moving to Node #0,0,4
Current State: 87:[88, 130], Operations: ['90-2=88', '33+97=130']
Exploring Operation: 130-88=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 88*130=11440, Resulting Numbers: [11440]
11440,87 unequal: No Solution
Exploring Operation: 88+130=218, Resulting Numbers: [218]
218,87 unequal: No Solution
Moving to Node #0,2,2
Current State: 87:[90, 128], Operations: ['97-2=95', '33+95=128']
Exploring Operation: 90+128=218, Resulting Numbers: [218]
218,87 unequal: No Solution
Exploring Operation: 90*128=11520, Resulting Numbers: [11520]
11520,87 unequal: No Solution
Exploring Operation: 128-90=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Moving to Node #0,3,3
Current State: 87:[97, 121], Operations: ['33-2=31', '90+31=121']
Exploring Operation: 121-97=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 97+121=218, Resulting Numbers: [218]
218,87 unequal: No Solution
Exploring Operation: 97*121=11737, Resulting Numbers: [11737]
11737,87 unequal: No Solution
Moving to Node #0,2,4
Current State: 87:[95, 123], Operations: ['97-2=95', '33+90=123']
Exploring Operation: 95*123=11685, Resulting Numbers: [11685]
11685,87 unequal: No Solution
Exploring Operation: 95+123=218, Resulting Numbers: [218]
218,87 unequal: No Solution
Exploring Operation: 123-95=28, Resulting Numbers: [28]
28,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[97, 121], Operations: ['90-2=88', '33+88=121']
Exploring Operation: 97*121=11737, Resulting Numbers: [11737]
11737,87 unequal: No Solution
Exploring Operation: 97+121=218, Resulting Numbers: [218]
218,87 unequal: No Solution
Exploring Operation: 121-97=24, Resulting Numbers: [24]
24,87 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
75,
38,
6,
50
] | 73 | [
"50-38=12",
"12/6=2",
"75-2=73"
] | Current State: 73:[75, 38, 6, 50], Operations: []
Exploring Operation: 50-38=12, Resulting Numbers: [75, 6, 12]
Generated Node #2: [75, 6, 12] from Operation: 50-38=12
Current State: 73:[75, 6, 12], Operations: ['50-38=12']
Exploring Operation: 12/6=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 12/6=2
Current State: 73:[75, 2], Operations: ['50-38=12', '12/6=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[75, 38, 6, 50], Operations: []
Exploring Operation: 38+6=44, Resulting Numbers: [75, 50, 44]
Generated Node #0,0: 73:[75, 50, 44] Operation: 38+6=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[75, 50, 44], Operations: ['38+6=44']
Exploring Operation: 50+44=94, Resulting Numbers: [75, 94]
Generated Node #0,0,0: 73:[75, 94] Operation: 50+44=94
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[75, 94], Operations: ['38+6=44', '50+44=94']
Exploring Operation: 94-75=19, Resulting Numbers: [19]
19,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
65,
52,
5,
7
] | 91 | [
"7-5=2",
"52/2=26",
"65+26=91"
] | Current State: 91:[65, 52, 5, 7], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [65, 52, 2]
Generated Node #2: [65, 52, 2] from Operation: 7-5=2
Current State: 91:[65, 52, 2], Operations: ['7-5=2']
Exploring Operation: 52/2=26, Resulting Numbers: [65, 26]
Generated Node #3: [65, 26] from Operation: 52/2=26
Current State: 91:[65, 26], Operations: ['7-5=2', '52/2=26']
Exploring Operation: 65+26=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[65, 52, 5, 7], Operations: []
Exploring Operation: 65-52=13, Resulting Numbers: [5, 7, 13]
Generated Node #0,0: 91:[5, 7, 13] Operation: 65-52=13
Exploring Operation: 65+52=117, Resulting Numbers: [5, 7, 117]
Generated Node #0,1: 91:[5, 7, 117] Operation: 65+52=117
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[5, 7, 13], Operations: ['65-52=13']
Exploring Operation: 5+7=12, Resulting Numbers: [13, 12]
Generated Node #0,0,0: 91:[13, 12] Operation: 5+7=12
Exploring Operation: 13-5=8, Resulting Numbers: [7, 8]
Generated Node #0,0,1: 91:[7, 8] Operation: 13-5=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[13, 12], Operations: ['65-52=13', '5+7=12']
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[7, 8], Operations: ['65-52=13', '13-5=8']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[5, 7, 117], Operations: ['65+52=117']
Exploring Operation: 117-7=110, Resulting Numbers: [5, 110]
Generated Node #0,1,0: 91:[5, 110] Operation: 117-7=110
Exploring Operation: 117-5=112, Resulting Numbers: [7, 112]
Generated Node #0,1,1: 91:[7, 112] Operation: 117-5=112
Moving to Node #0,1,0
Current State: 91:[5, 110], Operations: ['65+52=117', '117-7=110']
Exploring Operation: 110-5=105, Resulting Numbers: [105]
105,91 unequal: No Solution
Exploring Operation: 110/5=22, Resulting Numbers: [22]
22,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[7, 112], Operations: ['65+52=117', '117-5=112']
Exploring Operation: 112/7=16, Resulting Numbers: [16]
16,91 unequal: No Solution
Exploring Operation: 112-7=105, Resulting Numbers: [105]
105,91 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 |
[
44,
16,
74,
51
] | 65 | [
"44+16=60",
"74+51=125",
"125-60=65"
] | Current State: 65:[44, 16, 74, 51], Operations: []
Exploring Operation: 44+16=60, Resulting Numbers: [74, 51, 60]
Generated Node #2: [74, 51, 60] from Operation: 44+16=60
Current State: 65:[74, 51, 60], Operations: ['44+16=60']
Exploring Operation: 74+51=125, Resulting Numbers: [60, 125]
Generated Node #3: [60, 125] from Operation: 74+51=125
Current State: 65:[60, 125], Operations: ['44+16=60', '74+51=125']
Exploring Operation: 125-60=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[44, 16, 74, 51], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [16, 74, 7]
Generated Node #0,0: 65:[16, 74, 7] Operation: 51-44=7
Exploring Operation: 44+16=60, Resulting Numbers: [74, 51, 60]
Generated Node #0,1: 65:[74, 51, 60] Operation: 44+16=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[16, 74, 7], Operations: ['51-44=7']
Exploring Operation: 74-7=67, Resulting Numbers: [16, 67]
Generated Node #0,0,0: 65:[16, 67] Operation: 74-7=67
Exploring Operation: 74-16=58, Resulting Numbers: [7, 58]
Generated Node #0,0,1: 65:[7, 58] Operation: 74-16=58
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[16, 67], Operations: ['51-44=7', '74-7=67']
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,65 unequal: No Solution
Exploring Operation: 16+67=83, Resulting Numbers: [83]
83,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 65:[7, 58], Operations: ['51-44=7', '74-16=58']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,65 unequal: No Solution
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[44, 16, 74, 51], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [16, 74, 7]
Generated Node #0,0: 65:[16, 74, 7] Operation: 51-44=7
Moving to Node #0,0
Current State: 65:[16, 74, 7], Operations: ['51-44=7']
Exploring Operation: 74-16=58, Resulting Numbers: [7, 58]
Generated Node #0,0,1: 65:[7, 58] Operation: 74-16=58
Moving to Node #0,0,1
Current State: 65:[7, 58], Operations: ['51-44=7', '74-16=58']
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
25,
64,
5,
12
] | 49 | [
"25*5=125",
"64+12=76",
"125-76=49"
] | Current State: 49:[25, 64, 5, 12], Operations: []
Exploring Operation: 25*5=125, Resulting Numbers: [64, 12, 125]
Generated Node #2: [64, 12, 125] from Operation: 25*5=125
Current State: 49:[64, 12, 125], Operations: ['25*5=125']
Exploring Operation: 64+12=76, Resulting Numbers: [125, 76]
Generated Node #3: [125, 76] from Operation: 64+12=76
Current State: 49:[125, 76], Operations: ['25*5=125', '64+12=76']
Exploring Operation: 125-76=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[25, 64, 5, 12], Operations: []
Exploring Operation: 25+12=37, Resulting Numbers: [64, 5, 37]
Generated Node #0,0: 49:[64, 5, 37] Operation: 25+12=37
Exploring Operation: 64-25=39, Resulting Numbers: [5, 12, 39]
Generated Node #0,1: 49:[5, 12, 39] Operation: 64-25=39
Exploring Operation: 64-12=52, Resulting Numbers: [25, 5, 52]
Generated Node #0,2: 49:[25, 5, 52] Operation: 64-12=52
Exploring Operation: 25/5=5, Resulting Numbers: [64, 12, 5]
Generated Node #0,3: 49:[64, 12, 5] Operation: 25/5=5
Exploring Operation: 25-12=13, Resulting Numbers: [64, 5, 13]
Generated Node #0,4: 49:[64, 5, 13] Operation: 25-12=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[5, 12, 39], Operations: ['64-25=39']
Exploring Operation: 39-5=34, Resulting Numbers: [12, 34]
Generated Node #0,1,0: 49:[12, 34] Operation: 39-5=34
Exploring Operation: 5+39=44, Resulting Numbers: [12, 44]
Generated Node #0,1,1: 49:[12, 44] Operation: 5+39=44
Exploring Operation: 12-5=7, Resulting Numbers: [39, 7]
Generated Node #0,1,2: 49:[39, 7] Operation: 12-5=7
Exploring Operation: 5+12=17, Resulting Numbers: [39, 17]
Generated Node #0,1,3: 49:[39, 17] Operation: 5+12=17
Exploring Operation: 12+39=51, Resulting Numbers: [5, 51]
Generated Node #0,1,4: 49:[5, 51] Operation: 12+39=51
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 49:[5, 51], Operations: ['64-25=39', '12+39=51']
Exploring Operation: 5*51=255, Resulting Numbers: [255]
255,49 unequal: No Solution
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[12, 44], Operations: ['64-25=39', '5+39=44']
Exploring Operation: 12+44=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Exploring Operation: 12*44=528, Resulting Numbers: [528]
528,49 unequal: No Solution
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 49:[39, 7], Operations: ['64-25=39', '12-5=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[12, 34], Operations: ['64-25=39', '39-5=34']
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,49 unequal: No Solution
Exploring Operation: 12*34=408, Resulting Numbers: [408]
408,49 unequal: No Solution
Exploring Operation: 12+34=46, Resulting Numbers: [46]
46,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 49:[39, 17], Operations: ['64-25=39', '5+12=17']
Exploring Operation: 39*17=663, Resulting Numbers: [663]
663,49 unequal: No Solution
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,49 unequal: No Solution
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[64, 12, 5], Operations: ['25/5=5']
Exploring Operation: 12+5=17, Resulting Numbers: [64, 17]
Generated Node #0,3,0: 49:[64, 17] Operation: 12+5=17
Exploring Operation: 64-5=59, Resulting Numbers: [12, 59]
Generated Node #0,3,1: 49:[12, 59] Operation: 64-5=59
Exploring Operation: 12-5=7, Resulting Numbers: [64, 7]
Generated Node #0,3,2: 49:[64, 7] Operation: 12-5=7
Exploring Operation: 64+5=69, Resulting Numbers: [12, 69]
Generated Node #0,3,3: 49:[12, 69] Operation: 64+5=69
Exploring Operation: 64-12=52, Resulting Numbers: [5, 52]
Generated Node #0,3,4: 49:[5, 52] Operation: 64-12=52
Moving to Node #0,3,4
Current State: 49:[5, 52], Operations: ['25/5=5', '64-12=52']
Exploring Operation: 5+52=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 5*52=260, Resulting Numbers: [260]
260,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[64, 7], Operations: ['25/5=5', '12-5=7']
Exploring Operation: 64*7=448, Resulting Numbers: [448]
448,49 unequal: No Solution
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[12, 59], Operations: ['25/5=5', '64-5=59']
Exploring Operation: 12*59=708, Resulting Numbers: [708]
708,49 unequal: No Solution
Exploring Operation: 12+59=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[64, 17], Operations: ['25/5=5', '12+5=17']
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,49 unequal: No Solution
Exploring Operation: 64*17=1088, Resulting Numbers: [1088]
1088,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[12, 69], Operations: ['25/5=5', '64+5=69']
Exploring Operation: 12+69=81, Resulting Numbers: [81]
81,49 unequal: No Solution
Exploring Operation: 12*69=828, Resulting Numbers: [828]
828,49 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[25, 5, 52], Operations: ['64-12=52']
Exploring Operation: 25-5=20, Resulting Numbers: [52, 20]
Generated Node #0,2,0: 49:[52, 20] Operation: 25-5=20
Exploring Operation: 52-25=27, Resulting Numbers: [5, 27]
Generated Node #0,2,1: 49:[5, 27] Operation: 52-25=27
Exploring Operation: 25+5=30, Resulting Numbers: [52, 30]
Generated Node #0,2,2: 49:[52, 30] Operation: 25+5=30
Exploring Operation: 25/5=5, Resulting Numbers: [52, 5]
Generated Node #0,2,3: 49:[52, 5] Operation: 25/5=5
Exploring Operation: 52-5=47, Resulting Numbers: [25, 47]
Generated Node #0,2,4: 49:[25, 47] Operation: 52-5=47
Moving to Node #0,2,3
Current State: 49:[52, 5], Operations: ['64-12=52', '25/5=5']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 52*5=260, Resulting Numbers: [260]
260,49 unequal: No Solution
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[52, 20], Operations: ['64-12=52', '25-5=20']
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 52*20=1040, Resulting Numbers: [1040]
1040,49 unequal: No Solution
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,49 unequal: No Solution
Moving to Node #0,2,4
Current State: 49:[25, 47], Operations: ['64-12=52', '52-5=47']
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,49 unequal: No Solution
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,49 unequal: No Solution
Exploring Operation: 25*47=1175, Resulting Numbers: [1175]
1175,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[5, 27], Operations: ['64-12=52', '52-25=27']
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,49 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,49 unequal: No Solution
Moving to Node #0,2,2
Current State: 49:[52, 30], Operations: ['64-12=52', '25+5=30']
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,49 unequal: No Solution
Exploring Operation: 52+30=82, Resulting Numbers: [82]
82,49 unequal: No Solution
Exploring Operation: 52*30=1560, Resulting Numbers: [1560]
1560,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 49:[64, 5, 13], Operations: ['25-12=13']
Exploring Operation: 5+13=18, Resulting Numbers: [64, 18]
Generated Node #0,4,0: 49:[64, 18] Operation: 5+13=18
Exploring Operation: 64+5=69, Resulting Numbers: [13, 69]
Generated Node #0,4,1: 49:[13, 69] Operation: 64+5=69
Exploring Operation: 64-5=59, Resulting Numbers: [13, 59]
Generated Node #0,4,2: 49:[13, 59] Operation: 64-5=59
Exploring Operation: 64-13=51, Resulting Numbers: [5, 51]
Generated Node #0,4,3: 49:[5, 51] Operation: 64-13=51
Exploring Operation: 13-5=8, Resulting Numbers: [64, 8]
Generated Node #0,4,4: 49:[64, 8] Operation: 13-5=8
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 49:[5, 51], Operations: ['25-12=13', '64-13=51']
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 5*51=255, Resulting Numbers: [255]
255,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 49:[13, 59], Operations: ['25-12=13', '64-5=59']
Exploring Operation: 13*59=767, Resulting Numbers: [767]
767,49 unequal: No Solution
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 13+59=72, Resulting Numbers: [72]
72,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 49:[64, 8], Operations: ['25-12=13', '13-5=8']
Exploring Operation: 64+8=72, Resulting Numbers: [72]
72,49 unequal: No Solution
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Exploring Operation: 64*8=512, Resulting Numbers: [512]
512,49 unequal: No Solution
Exploring Operation: 64/8=8, Resulting Numbers: [8]
8,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 49:[64, 18], Operations: ['25-12=13', '5+13=18']
Exploring Operation: 64*18=1152, Resulting Numbers: [1152]
1152,49 unequal: No Solution
Exploring Operation: 64+18=82, Resulting Numbers: [82]
82,49 unequal: No Solution
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 49:[13, 69], Operations: ['25-12=13', '64+5=69']
Exploring Operation: 13*69=897, Resulting Numbers: [897]
897,49 unequal: No Solution
Exploring Operation: 13+69=82, Resulting Numbers: [82]
82,49 unequal: No Solution
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[64, 5, 37], Operations: ['25+12=37']
Exploring Operation: 64+5=69, Resulting Numbers: [37, 69]
Generated Node #0,0,0: 49:[37, 69] Operation: 64+5=69
Exploring Operation: 5+37=42, Resulting Numbers: [64, 42]
Generated Node #0,0,1: 49:[64, 42] Operation: 5+37=42
Exploring Operation: 64-37=27, Resulting Numbers: [5, 27]
Generated Node #0,0,2: 49:[5, 27] Operation: 64-37=27
Exploring Operation: 64-5=59, Resulting Numbers: [37, 59]
Generated Node #0,0,3: 49:[37, 59] Operation: 64-5=59
Exploring Operation: 37-5=32, Resulting Numbers: [64, 32]
Generated Node #0,0,4: 49:[64, 32] Operation: 37-5=32
Moving to Node #0,0,1
Current State: 49:[64, 42], Operations: ['25+12=37', '5+37=42']
Exploring Operation: 64-42=22, Resulting Numbers: [22]
22,49 unequal: No Solution
Exploring Operation: 64+42=106, Resulting Numbers: [106]
106,49 unequal: No Solution
Exploring Operation: 64*42=2688, Resulting Numbers: [2688]
2688,49 unequal: No Solution
Moving to Node #0,0,3
Current State: 49:[37, 59], Operations: ['25+12=37', '64-5=59']
Exploring Operation: 37*59=2183, Resulting Numbers: [2183]
2183,49 unequal: No Solution
Exploring Operation: 37+59=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[5, 27], Operations: ['25+12=37', '64-37=27']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,49 unequal: No Solution
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,49 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[37, 69], Operations: ['25+12=37', '64+5=69']
Exploring Operation: 37*69=2553, Resulting Numbers: [2553]
2553,49 unequal: No Solution
Exploring Operation: 69-37=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 37+69=106, Resulting Numbers: [106]
106,49 unequal: No Solution
Moving to Node #0,0,4
Current State: 49:[64, 32], Operations: ['25+12=37', '37-5=32']
Exploring Operation: 64/32=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 64+32=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 64-32=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 64*32=2048, Resulting Numbers: [2048]
2048,49 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 |
[
34,
59,
49,
23
] | 75 | [
"34*49=1666",
"59+1666=1725",
"1725/23=75"
] | Current State: 75:[34, 59, 49, 23], Operations: []
Exploring Operation: 34*49=1666, Resulting Numbers: [59, 23, 1666]
Generated Node #2: [59, 23, 1666] from Operation: 34*49=1666
Current State: 75:[59, 23, 1666], Operations: ['34*49=1666']
Exploring Operation: 59+1666=1725, Resulting Numbers: [23, 1725]
Generated Node #3: [23, 1725] from Operation: 59+1666=1725
Current State: 75:[23, 1725], Operations: ['34*49=1666', '59+1666=1725']
Exploring Operation: 1725/23=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[34, 59, 49, 23], Operations: []
Exploring Operation: 34+49=83, Resulting Numbers: [59, 23, 83]
Generated Node #0,0: 75:[59, 23, 83] Operation: 34+49=83
Exploring Operation: 49-23=26, Resulting Numbers: [34, 59, 26]
Generated Node #0,1: 75:[34, 59, 26] Operation: 49-23=26
Exploring Operation: 59-34=25, Resulting Numbers: [49, 23, 25]
Generated Node #0,2: 75:[49, 23, 25] Operation: 59-34=25
Exploring Operation: 59-49=10, Resulting Numbers: [34, 23, 10]
Generated Node #0,3: 75:[34, 23, 10] Operation: 59-49=10
Exploring Operation: 49-34=15, Resulting Numbers: [59, 23, 15]
Generated Node #0,4: 75:[59, 23, 15] Operation: 49-34=15
Moving to Node #0,3
Current State: 75:[34, 23, 10], Operations: ['59-49=10']
Exploring Operation: 23+10=33, Resulting Numbers: [34, 33]
Generated Node #0,3,0: 75:[34, 33] Operation: 23+10=33
Exploring Operation: 23-10=13, Resulting Numbers: [34, 13]
Generated Node #0,3,1: 75:[34, 13] Operation: 23-10=13
Exploring Operation: 34+10=44, Resulting Numbers: [23, 44]
Generated Node #0,3,2: 75:[23, 44] Operation: 34+10=44
Exploring Operation: 34-10=24, Resulting Numbers: [23, 24]
Generated Node #0,3,3: 75:[23, 24] Operation: 34-10=24
Exploring Operation: 34-23=11, Resulting Numbers: [10, 11]
Generated Node #0,3,4: 75:[10, 11] Operation: 34-23=11
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 75:[23, 24], Operations: ['59-49=10', '34-10=24']
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,75 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,75 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 #0,3,4
Current State: 75:[10, 11], Operations: ['59-49=10', '34-23=11']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,75 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,75 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 #0,3,1
Current State: 75:[34, 13], Operations: ['59-49=10', '23-10=13']
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 34*13=442, Resulting Numbers: [442]
442,75 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 #0,3,0
Current State: 75:[34, 33], Operations: ['59-49=10', '23+10=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,75 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,75 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 #0,3,2
Current State: 75:[23, 44], Operations: ['59-49=10', '34+10=44']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,75 unequal: No Solution
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,75 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: 75:[59, 23, 15], Operations: ['49-34=15']
Exploring Operation: 59+23=82, Resulting Numbers: [15, 82]
Generated Node #0,4,0: 75:[15, 82] Operation: 59+23=82
Exploring Operation: 59+15=74, Resulting Numbers: [23, 74]
Generated Node #0,4,1: 75:[23, 74] Operation: 59+15=74
Exploring Operation: 59-15=44, Resulting Numbers: [23, 44]
Generated Node #0,4,2: 75:[23, 44] Operation: 59-15=44
Exploring Operation: 59-23=36, Resulting Numbers: [15, 36]
Generated Node #0,4,3: 75:[15, 36] Operation: 59-23=36
Exploring Operation: 23-15=8, Resulting Numbers: [59, 8]
Generated Node #0,4,4: 75:[59, 8] Operation: 23-15=8
Moving to Node #0,0
Current State: 75:[59, 23, 83], Operations: ['34+49=83']
Exploring Operation: 59+23=82, Resulting Numbers: [83, 82]
Generated Node #0,0,0: 75:[83, 82] Operation: 59+23=82
Exploring Operation: 23+83=106, Resulting Numbers: [59, 106]
Generated Node #0,0,1: 75:[59, 106] Operation: 23+83=106
Exploring Operation: 83-23=60, Resulting Numbers: [59, 60]
Generated Node #0,0,2: 75:[59, 60] Operation: 83-23=60
Exploring Operation: 83-59=24, Resulting Numbers: [23, 24]
Generated Node #0,0,3: 75:[23, 24] Operation: 83-59=24
Exploring Operation: 59-23=36, Resulting Numbers: [83, 36]
Generated Node #0,0,4: 75:[83, 36] Operation: 59-23=36
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 75:[23, 24], Operations: ['34+49=83', '83-59=24']
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[83, 82], Operations: ['34+49=83', '59+23=82']
Exploring Operation: 83+82=165, Resulting Numbers: [165]
165,75 unequal: No Solution
Exploring Operation: 83*82=6806, Resulting Numbers: [6806]
6806,75 unequal: No Solution
Exploring Operation: 83-82=1, Resulting Numbers: [1]
1,75 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 #0,0,4
Current State: 75:[83, 36], Operations: ['34+49=83', '59-23=36']
Exploring Operation: 83*36=2988, Resulting Numbers: [2988]
2988,75 unequal: No Solution
Exploring Operation: 83-36=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Exploring Operation: 83+36=119, Resulting Numbers: [119]
119,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 75:[59, 60], Operations: ['34+49=83', '83-23=60']
Exploring Operation: 59+60=119, Resulting Numbers: [119]
119,75 unequal: No Solution
Exploring Operation: 59*60=3540, Resulting Numbers: [3540]
3540,75 unequal: No Solution
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[59, 106], Operations: ['34+49=83', '23+83=106']
Exploring Operation: 106-59=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Exploring Operation: 59*106=6254, Resulting Numbers: [6254]
6254,75 unequal: No Solution
Exploring Operation: 59+106=165, Resulting Numbers: [165]
165,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 75:[34, 59, 26], Operations: ['49-23=26']
Exploring Operation: 34-26=8, Resulting Numbers: [59, 8]
Generated Node #0,1,0: 75:[59, 8] Operation: 34-26=8
Exploring Operation: 59-34=25, Resulting Numbers: [26, 25]
Generated Node #0,1,1: 75:[26, 25] Operation: 59-34=25
Exploring Operation: 59-26=33, Resulting Numbers: [34, 33]
Generated Node #0,1,2: 75:[34, 33] Operation: 59-26=33
Exploring Operation: 59+26=85, Resulting Numbers: [34, 85]
Generated Node #0,1,3: 75:[34, 85] Operation: 59+26=85
Exploring Operation: 34+59=93, Resulting Numbers: [26, 93]
Generated Node #0,1,4: 75:[26, 93] Operation: 34+59=93
Moving to Node #0,2
Current State: 75:[49, 23, 25], Operations: ['59-34=25']
Exploring Operation: 49+23=72, Resulting Numbers: [25, 72]
Generated Node #0,2,0: 75:[25, 72] Operation: 49+23=72
Exploring Operation: 25-23=2, Resulting Numbers: [49, 2]
Generated Node #0,2,1: 75:[49, 2] Operation: 25-23=2
Exploring Operation: 49-25=24, Resulting Numbers: [23, 24]
Generated Node #0,2,2: 75:[23, 24] Operation: 49-25=24
Exploring Operation: 49+25=74, Resulting Numbers: [23, 74]
Generated Node #0,2,3: 75:[23, 74] Operation: 49+25=74
Exploring Operation: 49-23=26, Resulting Numbers: [25, 26]
Generated Node #0,2,4: 75:[25, 26] Operation: 49-23=26
Moving to Node #0,1,1
Current State: 75:[26, 25], Operations: ['49-23=26', '59-34=25']
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,75 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Moving to Node #0,2,4
Current State: 75:[25, 26], Operations: ['59-34=25', '49-23=26']
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 25+26=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 25*26=650, Resulting Numbers: [650]
650,75 unequal: No Solution
Moving to Node #0,4,1
Current State: 75:[23, 74], Operations: ['49-34=15', '59+15=74']
Exploring Operation: 23*74=1702, Resulting Numbers: [1702]
1702,75 unequal: No Solution
Exploring Operation: 23+74=97, Resulting Numbers: [97]
97,75 unequal: No Solution
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Moving to Node #0,2,3
Current State: 75:[23, 74], Operations: ['59-34=25', '49+25=74']
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 23*74=1702, Resulting Numbers: [1702]
1702,75 unequal: No Solution
Exploring Operation: 23+74=97, Resulting Numbers: [97]
97,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[25, 72], Operations: ['59-34=25', '49+23=72']
Exploring Operation: 25+72=97, Resulting Numbers: [97]
97,75 unequal: No Solution
Exploring Operation: 25*72=1800, Resulting Numbers: [1800]
1800,75 unequal: No Solution
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[23, 24], Operations: ['59-34=25', '49-25=24']
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,75 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Moving to Node #0,4,0
Current State: 75:[15, 82], Operations: ['49-34=15', '59+23=82']
Exploring Operation: 15+82=97, Resulting Numbers: [97]
97,75 unequal: No Solution
Exploring Operation: 15*82=1230, Resulting Numbers: [1230]
1230,75 unequal: No Solution
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Moving to Node #0,4,3
Current State: 75:[15, 36], Operations: ['49-34=15', '59-23=36']
Exploring Operation: 15*36=540, Resulting Numbers: [540]
540,75 unequal: No Solution
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[34, 33], Operations: ['49-23=26', '59-26=33']
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,75 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Moving to Node #0,1,3
Current State: 75:[34, 85], Operations: ['49-23=26', '59+26=85']
Exploring Operation: 34*85=2890, Resulting Numbers: [2890]
2890,75 unequal: No Solution
Exploring Operation: 85-34=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 34+85=119, Resulting Numbers: [119]
119,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[59, 8], Operations: ['49-23=26', '34-26=8']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Exploring Operation: 59*8=472, Resulting Numbers: [472]
472,75 unequal: No Solution
Moving to Node #0,1,4
Current State: 75:[26, 93], Operations: ['49-23=26', '34+59=93']
Exploring Operation: 26+93=119, Resulting Numbers: [119]
119,75 unequal: No Solution
Exploring Operation: 93-26=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Exploring Operation: 26*93=2418, Resulting Numbers: [2418]
2418,75 unequal: No Solution
Moving to Node #0,4,4
Current State: 75:[59, 8], Operations: ['49-34=15', '23-15=8']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Exploring Operation: 59*8=472, Resulting Numbers: [472]
472,75 unequal: No Solution
Moving to Node #0,4,2
Current State: 75:[23, 44], Operations: ['49-34=15', '59-15=44']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,75 unequal: No Solution
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[49, 2], Operations: ['59-34=25', '25-23=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,75 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,75 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
35,
36,
31,
30
] | 37 | [
"36-31=5",
"35/5=7",
"30+7=37"
] | Current State: 37:[35, 36, 31, 30], Operations: []
Exploring Operation: 36-31=5, Resulting Numbers: [35, 30, 5]
Generated Node #2: [35, 30, 5] from Operation: 36-31=5
Current State: 37:[35, 30, 5], Operations: ['36-31=5']
Exploring Operation: 35/5=7, Resulting Numbers: [30, 7]
Generated Node #3: [30, 7] from Operation: 35/5=7
Current State: 37:[30, 7], Operations: ['36-31=5', '35/5=7']
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[35, 36, 31, 30], Operations: []
Exploring Operation: 31+30=61, Resulting Numbers: [35, 36, 61]
Generated Node #0,0: 37:[35, 36, 61] Operation: 31+30=61
Exploring Operation: 35+30=65, Resulting Numbers: [36, 31, 65]
Generated Node #0,1: 37:[36, 31, 65] Operation: 35+30=65
Exploring Operation: 36+30=66, Resulting Numbers: [35, 31, 66]
Generated Node #0,2: 37:[35, 31, 66] Operation: 36+30=66
Exploring Operation: 35+31=66, Resulting Numbers: [36, 30, 66]
Generated Node #0,3: 37:[36, 30, 66] Operation: 35+31=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[35, 36, 61], Operations: ['31+30=61']
Exploring Operation: 35+36=71, Resulting Numbers: [61, 71]
Generated Node #0,0,0: 37:[61, 71] Operation: 35+36=71
Exploring Operation: 36-35=1, Resulting Numbers: [61, 1]
Generated Node #0,0,1: 37:[61, 1] Operation: 36-35=1
Exploring Operation: 61-35=26, Resulting Numbers: [36, 26]
Generated Node #0,0,2: 37:[36, 26] Operation: 61-35=26
Exploring Operation: 61-36=25, Resulting Numbers: [35, 25]
Generated Node #0,0,3: 37:[35, 25] Operation: 61-36=25
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 37:[36, 26], Operations: ['31+30=61', '61-35=26']
Exploring Operation: 36*26=936, Resulting Numbers: [936]
936,37 unequal: No Solution
Exploring Operation: 36+26=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,37 unequal: No Solution
No 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: 37:[35, 25], Operations: ['31+30=61', '61-36=25']
Exploring Operation: 35*25=875, Resulting Numbers: [875]
875,37 unequal: No Solution
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,37 unequal: No Solution
No 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: 37:[61, 71], Operations: ['31+30=61', '35+36=71']
Exploring Operation: 61+71=132, Resulting Numbers: [132]
132,37 unequal: No Solution
Exploring Operation: 61*71=4331, Resulting Numbers: [4331]
4331,37 unequal: No Solution
Exploring Operation: 71-61=10, Resulting Numbers: [10]
10,37 unequal: No Solution
No 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: 37:[61, 1], Operations: ['31+30=61', '36-35=1']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,37 unequal: No Solution
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,37 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: 37:[36, 31, 65], Operations: ['35+30=65']
Exploring Operation: 65-36=29, Resulting Numbers: [31, 29]
Generated Node #0,1,0: 37:[31, 29] Operation: 65-36=29
Exploring Operation: 65-31=34, Resulting Numbers: [36, 34]
Generated Node #0,1,1: 37:[36, 34] Operation: 65-31=34
Exploring Operation: 36+31=67, Resulting Numbers: [65, 67]
Generated Node #0,1,2: 37:[65, 67] Operation: 36+31=67
Exploring Operation: 36-31=5, Resulting Numbers: [65, 5]
Generated Node #0,1,3: 37:[65, 5] Operation: 36-31=5
Moving to Node #0,1,1
Current State: 37:[36, 34], Operations: ['35+30=65', '65-31=34']
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 36*34=1224, Resulting Numbers: [1224]
1224,37 unequal: No Solution
Exploring Operation: 36+34=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[31, 29], Operations: ['35+30=65', '65-36=29']
Exploring Operation: 31*29=899, Resulting Numbers: [899]
899,37 unequal: No Solution
Exploring Operation: 31+29=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[65, 67], Operations: ['35+30=65', '36+31=67']
Exploring Operation: 65*67=4355, Resulting Numbers: [4355]
4355,37 unequal: No Solution
Exploring Operation: 65+67=132, Resulting Numbers: [132]
132,37 unequal: No Solution
Exploring Operation: 67-65=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Moving to Node #0,1,3
Current State: 37:[65, 5], Operations: ['35+30=65', '36-31=5']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,37 unequal: No Solution
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 65*5=325, Resulting Numbers: [325]
325,37 unequal: No Solution
Exploring Operation: 65+5=70, Resulting Numbers: [70]
70,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[35, 31, 66], Operations: ['36+30=66']
Exploring Operation: 35+31=66, Resulting Numbers: [66, 66]
Generated Node #0,2,0: 37:[66, 66] Operation: 35+31=66
Exploring Operation: 66-31=35, Resulting Numbers: [35, 35]
Generated Node #0,2,1: 37:[35, 35] Operation: 66-31=35
Exploring Operation: 66-35=31, Resulting Numbers: [31, 31]
Generated Node #0,2,2: 37:[31, 31] Operation: 66-35=31
Exploring Operation: 35-31=4, Resulting Numbers: [66, 4]
Generated Node #0,2,3: 37:[66, 4] Operation: 35-31=4
Moving to Node #0,2,1
Current State: 37:[35, 35], Operations: ['36+30=66', '66-31=35']
Exploring Operation: 35*35=1225, Resulting Numbers: [1225]
1225,37 unequal: No Solution
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 35/35=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 35-35=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[31, 31], Operations: ['36+30=66', '66-35=31']
Exploring Operation: 31-31=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Exploring Operation: 31/31=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 31*31=961, Resulting Numbers: [961]
961,37 unequal: No Solution
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[66, 66], Operations: ['36+30=66', '35+31=66']
Exploring Operation: 66/66=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 66+66=132, Resulting Numbers: [132]
132,37 unequal: No Solution
Exploring Operation: 66*66=4356, Resulting Numbers: [4356]
4356,37 unequal: No Solution
Exploring Operation: 66-66=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Moving to Node #0,2,3
Current State: 37:[66, 4], Operations: ['36+30=66', '35-31=4']
Exploring Operation: 66*4=264, Resulting Numbers: [264]
264,37 unequal: No Solution
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,37 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 #0,3
Current State: 37:[36, 30, 66], Operations: ['35+31=66']
Exploring Operation: 36-30=6, Resulting Numbers: [66, 6]
Generated Node #0,3,0: 37:[66, 6] Operation: 36-30=6
Exploring Operation: 66-36=30, Resulting Numbers: [30, 30]
Generated Node #0,3,1: 37:[30, 30] Operation: 66-36=30
Exploring Operation: 36+30=66, Resulting Numbers: [66, 66]
Generated Node #0,3,2: 37:[66, 66] Operation: 36+30=66
Exploring Operation: 66-30=36, Resulting Numbers: [36, 36]
Generated Node #0,3,3: 37:[36, 36] Operation: 66-30=36
Moving to Node #0,3,3
Current State: 37:[36, 36], Operations: ['35+31=66', '66-30=36']
Exploring Operation: 36+36=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Exploring Operation: 36*36=1296, Resulting Numbers: [1296]
1296,37 unequal: No Solution
Exploring Operation: 36-36=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Exploring Operation: 36/36=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Moving to Node #0,3,1
Current State: 37:[30, 30], Operations: ['35+31=66', '66-36=30']
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,37 unequal: No Solution
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Moving to Node #0,3,2
Current State: 37:[66, 66], Operations: ['35+31=66', '36+30=66']
Exploring Operation: 66*66=4356, Resulting Numbers: [4356]
4356,37 unequal: No Solution
Exploring Operation: 66-66=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Exploring Operation: 66+66=132, Resulting Numbers: [132]
132,37 unequal: No Solution
Exploring Operation: 66/66=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Moving to Node #0,3,0
Current State: 37:[66, 6], Operations: ['35+31=66', '36-30=6']
Exploring Operation: 66+6=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 66*6=396, Resulting Numbers: [396]
396,37 unequal: No Solution
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,37 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 |
[
30,
7,
2,
28
] | 67 | [
"30+7=37",
"2+28=30",
"37+30=67"
] | Current State: 67:[30, 7, 2, 28], Operations: []
Exploring Operation: 30+7=37, Resulting Numbers: [2, 28, 37]
Generated Node #2: [2, 28, 37] from Operation: 30+7=37
Current State: 67:[2, 28, 37], Operations: ['30+7=37']
Exploring Operation: 2+28=30, Resulting Numbers: [37, 30]
Generated Node #3: [37, 30] from Operation: 2+28=30
Current State: 67:[37, 30], Operations: ['30+7=37', '2+28=30']
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[30, 7, 2, 28], Operations: []
Exploring Operation: 30*2=60, Resulting Numbers: [7, 28, 60]
Generated Node #0,0: 67:[7, 28, 60] Operation: 30*2=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[7, 28, 60], Operations: ['30*2=60']
Exploring Operation: 7+28=35, Resulting Numbers: [60, 35]
Generated Node #0,0,0: 67:[60, 35] Operation: 7+28=35
Moving to Node #0,0,0
Current State: 67:[60, 35], Operations: ['30*2=60', '7+28=35']
Exploring Operation: 60+35=95, Resulting Numbers: [95]
95,67 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 |
[
85,
26,
36,
25
] | 48 | [
"85-26=59",
"36-25=11",
"59-11=48"
] | Current State: 48:[85, 26, 36, 25], Operations: []
Exploring Operation: 85-26=59, Resulting Numbers: [36, 25, 59]
Generated Node #2: [36, 25, 59] from Operation: 85-26=59
Current State: 48:[36, 25, 59], Operations: ['85-26=59']
Exploring Operation: 36-25=11, Resulting Numbers: [59, 11]
Generated Node #3: [59, 11] from Operation: 36-25=11
Current State: 48:[59, 11], Operations: ['85-26=59', '36-25=11']
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[85, 26, 36, 25], Operations: []
Exploring Operation: 85-36=49, Resulting Numbers: [26, 25, 49]
Generated Node #0,0: 48:[26, 25, 49] Operation: 85-36=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[26, 25, 49], Operations: ['85-36=49']
Exploring Operation: 26-25=1, Resulting Numbers: [49, 1]
Generated Node #0,0,0: 48:[49, 1] Operation: 26-25=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[49, 1], Operations: ['85-36=49', '26-25=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[85, 26, 36, 25], Operations: []
Exploring Operation: 85-36=49, Resulting Numbers: [26, 25, 49]
Generated Node #0,0: 48:[26, 25, 49] Operation: 85-36=49
Moving to Node #0,0
Current State: 48:[26, 25, 49], Operations: ['85-36=49']
Exploring Operation: 26-25=1, Resulting Numbers: [49, 1]
Generated Node #0,0,0: 48:[49, 1] Operation: 26-25=1
Moving to Node #0,0,0
Current State: 48:[49, 1], Operations: ['85-36=49', '26-25=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
70,
78,
51,
68
] | 90 | [
"70-68=2",
"78/2=39",
"51+39=90"
] | Current State: 90:[70, 78, 51, 68], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [78, 51, 2]
Generated Node #2: [78, 51, 2] from Operation: 70-68=2
Current State: 90:[78, 51, 2], Operations: ['70-68=2']
Exploring Operation: 78/2=39, Resulting Numbers: [51, 39]
Generated Node #3: [51, 39] from Operation: 78/2=39
Current State: 90:[51, 39], Operations: ['70-68=2', '78/2=39']
Exploring Operation: 51+39=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[70, 78, 51, 68], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [78, 51, 2]
Generated Node #0,0: 90:[78, 51, 2] Operation: 70-68=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[78, 51, 2], Operations: ['70-68=2']
Exploring Operation: 78-51=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 90:[2, 27] Operation: 78-51=27
Moving to Node #0,0,0
Current State: 90:[2, 27], Operations: ['70-68=2', '78-51=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,90 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 |
[
65,
11,
1,
23
] | 98 | [
"65+11=76",
"23-1=22",
"76+22=98"
] | Current State: 98:[65, 11, 1, 23], Operations: []
Exploring Operation: 65+11=76, Resulting Numbers: [1, 23, 76]
Generated Node #2: [1, 23, 76] from Operation: 65+11=76
Current State: 98:[1, 23, 76], Operations: ['65+11=76']
Exploring Operation: 23-1=22, Resulting Numbers: [76, 22]
Generated Node #3: [76, 22] from Operation: 23-1=22
Current State: 98:[76, 22], Operations: ['65+11=76', '23-1=22']
Exploring Operation: 76+22=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[65, 11, 1, 23], Operations: []
Exploring Operation: 65-23=42, Resulting Numbers: [11, 1, 42]
Generated Node #0,0: 98:[11, 1, 42] Operation: 65-23=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[11, 1, 42], Operations: ['65-23=42']
Exploring Operation: 11+42=53, Resulting Numbers: [1, 53]
Generated Node #0,0,0: 98:[1, 53] Operation: 11+42=53
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[1, 53], Operations: ['65-23=42', '11+42=53']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,98 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 |
[
69,
26,
29,
41
] | 64 | [
"29-26=3",
"69/3=23",
"41+23=64"
] | Current State: 64:[69, 26, 29, 41], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [69, 41, 3]
Generated Node #2: [69, 41, 3] from Operation: 29-26=3
Current State: 64:[69, 41, 3], Operations: ['29-26=3']
Exploring Operation: 69/3=23, Resulting Numbers: [41, 23]
Generated Node #3: [41, 23] from Operation: 69/3=23
Current State: 64:[41, 23], Operations: ['29-26=3', '69/3=23']
Exploring Operation: 41+23=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[69, 26, 29, 41], Operations: []
Exploring Operation: 26+41=67, Resulting Numbers: [69, 29, 67]
Generated Node #0,0: 64:[69, 29, 67] Operation: 26+41=67
Exploring Operation: 41-26=15, Resulting Numbers: [69, 29, 15]
Generated Node #0,1: 64:[69, 29, 15] Operation: 41-26=15
Exploring Operation: 69-41=28, Resulting Numbers: [26, 29, 28]
Generated Node #0,2: 64:[26, 29, 28] Operation: 69-41=28
Moving to Node #0,1
Current State: 64:[69, 29, 15], Operations: ['41-26=15']
Exploring Operation: 69-15=54, Resulting Numbers: [29, 54]
Generated Node #0,1,0: 64:[29, 54] Operation: 69-15=54
Exploring Operation: 29-15=14, Resulting Numbers: [69, 14]
Generated Node #0,1,1: 64:[69, 14] Operation: 29-15=14
Exploring Operation: 69-29=40, Resulting Numbers: [15, 40]
Generated Node #0,1,2: 64:[15, 40] Operation: 69-29=40
Moving to Node #0,0
Current State: 64:[69, 29, 67], Operations: ['26+41=67']
Exploring Operation: 69-29=40, Resulting Numbers: [67, 40]
Generated Node #0,0,0: 64:[67, 40] Operation: 69-29=40
Exploring Operation: 69-67=2, Resulting Numbers: [29, 2]
Generated Node #0,0,1: 64:[29, 2] Operation: 69-67=2
Exploring Operation: 67-29=38, Resulting Numbers: [69, 38]
Generated Node #0,0,2: 64:[69, 38] Operation: 67-29=38
Moving to Node #0,2
Current State: 64:[26, 29, 28], Operations: ['69-41=28']
Exploring Operation: 28-26=2, Resulting Numbers: [29, 2]
Generated Node #0,2,0: 64:[29, 2] Operation: 28-26=2
Exploring Operation: 29-28=1, Resulting Numbers: [26, 1]
Generated Node #0,2,1: 64:[26, 1] Operation: 29-28=1
Exploring Operation: 29-26=3, Resulting Numbers: [28, 3]
Generated Node #0,2,2: 64:[28, 3] Operation: 29-26=3
Moving to Node #0,0,1
Current State: 64:[29, 2], Operations: ['26+41=67', '69-67=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[29, 2], Operations: ['69-41=28', '28-26=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[28, 3], Operations: ['69-41=28', '29-26=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,64 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[26, 1], Operations: ['69-41=28', '29-28=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[69, 14], Operations: ['41-26=15', '29-15=14']
Exploring Operation: 69*14=966, Resulting Numbers: [966]
966,64 unequal: No Solution
Exploring Operation: 69-14=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 69+14=83, Resulting Numbers: [83]
83,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[15, 40], Operations: ['41-26=15', '69-29=40']
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 15*40=600, Resulting Numbers: [600]
600,64 unequal: No Solution
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[69, 38], Operations: ['26+41=67', '67-29=38']
Exploring Operation: 69-38=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Exploring Operation: 69*38=2622, Resulting Numbers: [2622]
2622,64 unequal: No Solution
Exploring Operation: 69+38=107, Resulting Numbers: [107]
107,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[67, 40], Operations: ['26+41=67', '69-29=40']
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 67+40=107, Resulting Numbers: [107]
107,64 unequal: No Solution
Exploring Operation: 67*40=2680, Resulting Numbers: [2680]
2680,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[29, 54], Operations: ['41-26=15', '69-15=54']
Exploring Operation: 29+54=83, Resulting Numbers: [83]
83,64 unequal: No Solution
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 29*54=1566, Resulting Numbers: [1566]
1566,64 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
17,
9,
37,
35
] | 25 | [
"37+35=72",
"72/9=8",
"17+8=25"
] | Current State: 25:[17, 9, 37, 35], Operations: []
Exploring Operation: 37+35=72, Resulting Numbers: [17, 9, 72]
Generated Node #2: [17, 9, 72] from Operation: 37+35=72
Current State: 25:[17, 9, 72], Operations: ['37+35=72']
Exploring Operation: 72/9=8, Resulting Numbers: [17, 8]
Generated Node #3: [17, 8] from Operation: 72/9=8
Current State: 25:[17, 8], Operations: ['37+35=72', '72/9=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[17, 9, 37, 35], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [17, 9, 2]
Generated Node #0,0: 25:[17, 9, 2] Operation: 37-35=2
Exploring Operation: 37-9=28, Resulting Numbers: [17, 35, 28]
Generated Node #0,1: 25:[17, 35, 28] Operation: 37-9=28
Exploring Operation: 37-17=20, Resulting Numbers: [9, 35, 20]
Generated Node #0,2: 25:[9, 35, 20] Operation: 37-17=20
Exploring Operation: 35-9=26, Resulting Numbers: [17, 37, 26]
Generated Node #0,3: 25:[17, 37, 26] Operation: 35-9=26
Moving to Node #0,0
Current State: 25:[17, 9, 2], Operations: ['37-35=2']
Exploring Operation: 17-9=8, Resulting Numbers: [2, 8]
Generated Node #0,0,0: 25:[2, 8] Operation: 17-9=8
Exploring Operation: 17+9=26, Resulting Numbers: [2, 26]
Generated Node #0,0,1: 25:[2, 26] Operation: 17+9=26
Exploring Operation: 17+2=19, Resulting Numbers: [9, 19]
Generated Node #0,0,2: 25:[9, 19] Operation: 17+2=19
Exploring Operation: 9-2=7, Resulting Numbers: [17, 7]
Generated Node #0,0,3: 25:[17, 7] Operation: 9-2=7
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[2, 26], Operations: ['37-35=2', '17+9=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,25 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[2, 8], Operations: ['37-35=2', '17-9=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,25 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,25 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[9, 19], Operations: ['37-35=2', '17+2=19']
Exploring Operation: 9*19=171, Resulting Numbers: [171]
171,25 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,25 unequal: No Solution
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 25:[17, 7], Operations: ['37-35=2', '9-2=7']
Exploring Operation: 17*7=119, Resulting Numbers: [119]
119,25 unequal: No Solution
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,25 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: 25:[9, 35, 20], Operations: ['37-17=20']
Exploring Operation: 20-9=11, Resulting Numbers: [35, 11]
Generated Node #0,2,0: 25:[35, 11] Operation: 20-9=11
Exploring Operation: 35-20=15, Resulting Numbers: [9, 15]
Generated Node #0,2,1: 25:[9, 15] Operation: 35-20=15
Exploring Operation: 9+20=29, Resulting Numbers: [35, 29]
Generated Node #0,2,2: 25:[35, 29] Operation: 9+20=29
Exploring Operation: 35-9=26, Resulting Numbers: [20, 26]
Generated Node #0,2,3: 25:[20, 26] Operation: 35-9=26
Moving to Node #0,3
Current State: 25:[17, 37, 26], Operations: ['35-9=26']
Exploring Operation: 17+37=54, Resulting Numbers: [26, 54]
Generated Node #0,3,0: 25:[26, 54] Operation: 17+37=54
Exploring Operation: 37-17=20, Resulting Numbers: [26, 20]
Generated Node #0,3,1: 25:[26, 20] Operation: 37-17=20
Exploring Operation: 37-26=11, Resulting Numbers: [17, 11]
Generated Node #0,3,2: 25:[17, 11] Operation: 37-26=11
Exploring Operation: 26-17=9, Resulting Numbers: [37, 9]
Generated Node #0,3,3: 25:[37, 9] Operation: 26-17=9
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 25:[26, 20], Operations: ['35-9=26', '37-17=20']
Exploring Operation: 26*20=520, Resulting Numbers: [520]
520,25 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 26+20=46, Resulting Numbers: [46]
46,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 25:[17, 11], Operations: ['35-9=26', '37-26=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,25 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 25:[37, 9], Operations: ['35-9=26', '26-17=9']
Exploring Operation: 37*9=333, Resulting Numbers: [333]
333,25 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 25:[26, 54], Operations: ['35-9=26', '17+37=54']
Exploring Operation: 26+54=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Exploring Operation: 26*54=1404, Resulting Numbers: [1404]
1404,25 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: 25:[17, 35, 28], Operations: ['37-9=28']
Exploring Operation: 17+35=52, Resulting Numbers: [28, 52]
Generated Node #0,1,0: 25:[28, 52] Operation: 17+35=52
Exploring Operation: 35-17=18, Resulting Numbers: [28, 18]
Generated Node #0,1,1: 25:[28, 18] Operation: 35-17=18
Exploring Operation: 35-28=7, Resulting Numbers: [17, 7]
Generated Node #0,1,2: 25:[17, 7] Operation: 35-28=7
Exploring Operation: 28-17=11, Resulting Numbers: [35, 11]
Generated Node #0,1,3: 25:[35, 11] Operation: 28-17=11
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[28, 18], Operations: ['37-9=28', '35-17=18']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,25 unequal: No Solution
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 28*18=504, Resulting Numbers: [504]
504,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 25:[17, 7], Operations: ['37-9=28', '35-28=7']
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 17*7=119, Resulting Numbers: [119]
119,25 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 25:[35, 11], Operations: ['37-9=28', '28-17=11']
Exploring Operation: 35*11=385, Resulting Numbers: [385]
385,25 unequal: No Solution
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[28, 52], Operations: ['37-9=28', '17+35=52']
Exploring Operation: 28+52=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 28*52=1456, Resulting Numbers: [1456]
1456,25 unequal: No Solution
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 25:[20, 26], Operations: ['37-17=20', '35-9=26']
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,25 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[35, 29], Operations: ['37-17=20', '9+20=29']
Exploring Operation: 35-29=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 35*29=1015, Resulting Numbers: [1015]
1015,25 unequal: No Solution
Exploring Operation: 35+29=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[9, 15], Operations: ['37-17=20', '35-20=15']
Exploring Operation: 9+15=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 9*15=135, Resulting Numbers: [135]
135,25 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[35, 11], Operations: ['37-17=20', '20-9=11']
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 35*11=385, Resulting Numbers: [385]
385,25 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,25 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
26,
39,
33,
4
] | 11 | [
"33-26=7",
"4*7=28",
"39-28=11"
] | Current State: 11:[26, 39, 33, 4], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [39, 4, 7]
Generated Node #2: [39, 4, 7] from Operation: 33-26=7
Current State: 11:[39, 4, 7], Operations: ['33-26=7']
Exploring Operation: 4*7=28, Resulting Numbers: [39, 28]
Generated Node #3: [39, 28] from Operation: 4*7=28
Current State: 11:[39, 28], Operations: ['33-26=7', '4*7=28']
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[26, 39, 33, 4], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [26, 4, 6]
Generated Node #0,0: 11:[26, 4, 6] Operation: 39-33=6
Exploring Operation: 39-26=13, Resulting Numbers: [33, 4, 13]
Generated Node #0,1: 11:[33, 4, 13] Operation: 39-26=13
Moving to Node #0,0
Current State: 11:[26, 4, 6], Operations: ['39-33=6']
Exploring Operation: 26-4=22, Resulting Numbers: [6, 22]
Generated Node #0,0,0: 11:[6, 22] Operation: 26-4=22
Exploring Operation: 26-6=20, Resulting Numbers: [4, 20]
Generated Node #0,0,1: 11:[4, 20] Operation: 26-6=20
Moving to Node #0,1
Current State: 11:[33, 4, 13], Operations: ['39-26=13']
Exploring Operation: 33-4=29, Resulting Numbers: [13, 29]
Generated Node #0,1,0: 11:[13, 29] Operation: 33-4=29
Exploring Operation: 33-13=20, Resulting Numbers: [4, 20]
Generated Node #0,1,1: 11:[4, 20] Operation: 33-13=20
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[4, 20], Operations: ['39-26=13', '33-13=20']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[13, 29], Operations: ['39-26=13', '33-4=29']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,11 unequal: No Solution
Exploring Operation: 13+29=42, Resulting Numbers: [42]
42,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 11:[6, 22], Operations: ['39-33=6', '26-4=22']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,11 unequal: No Solution
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[4, 20], Operations: ['39-33=6', '26-6=20']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,11 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,11 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
10,
64,
60,
75
] | 66 | [
"60/10=6",
"75-64=11",
"6*11=66"
] | Current State: 66:[10, 64, 60, 75], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [64, 75, 6]
Generated Node #2: [64, 75, 6] from Operation: 60/10=6
Current State: 66:[64, 75, 6], Operations: ['60/10=6']
Exploring Operation: 75-64=11, Resulting Numbers: [6, 11]
Generated Node #3: [6, 11] from Operation: 75-64=11
Current State: 66:[6, 11], Operations: ['60/10=6', '75-64=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[10, 64, 60, 75], Operations: []
Exploring Operation: 75-60=15, Resulting Numbers: [10, 64, 15]
Generated Node #0,0: 66:[10, 64, 15] Operation: 75-60=15
Exploring Operation: 60/10=6, Resulting Numbers: [64, 75, 6]
Generated Node #0,1: 66:[64, 75, 6] Operation: 60/10=6
Exploring Operation: 75-10=65, Resulting Numbers: [64, 60, 65]
Generated Node #0,2: 66:[64, 60, 65] Operation: 75-10=65
Exploring Operation: 75-64=11, Resulting Numbers: [10, 60, 11]
Generated Node #0,3: 66:[10, 60, 11] Operation: 75-64=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[10, 64, 15], Operations: ['75-60=15']
Exploring Operation: 15-10=5, Resulting Numbers: [64, 5]
Generated Node #0,0,0: 66:[64, 5] Operation: 15-10=5
Exploring Operation: 64+15=79, Resulting Numbers: [10, 79]
Generated Node #0,0,1: 66:[10, 79] Operation: 64+15=79
Exploring Operation: 10+64=74, Resulting Numbers: [15, 74]
Generated Node #0,0,2: 66:[15, 74] Operation: 10+64=74
Exploring Operation: 10+15=25, Resulting Numbers: [64, 25]
Generated Node #0,0,3: 66:[64, 25] Operation: 10+15=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[64, 5], Operations: ['75-60=15', '15-10=5']
Exploring Operation: 64*5=320, Resulting Numbers: [320]
320,66 unequal: No Solution
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,66 unequal: No Solution
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,66 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 #0,0,3
Current State: 66:[64, 25], Operations: ['75-60=15', '10+15=25']
Exploring Operation: 64+25=89, Resulting Numbers: [89]
89,66 unequal: No Solution
Exploring Operation: 64*25=1600, Resulting Numbers: [1600]
1600,66 unequal: No Solution
Exploring Operation: 64-25=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 #0,0,2
Current State: 66:[15, 74], Operations: ['75-60=15', '10+64=74']
Exploring Operation: 15+74=89, Resulting Numbers: [89]
89,66 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,66 unequal: No Solution
Exploring Operation: 15*74=1110, Resulting Numbers: [1110]
1110,66 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 #0,0,1
Current State: 66:[10, 79], Operations: ['75-60=15', '64+15=79']
Exploring Operation: 79-10=69, Resulting Numbers: [69]
69,66 unequal: No Solution
Exploring Operation: 10*79=790, Resulting Numbers: [790]
790,66 unequal: No Solution
Exploring Operation: 10+79=89, Resulting Numbers: [89]
89,66 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 #0,3
Current State: 66:[10, 60, 11], Operations: ['75-64=11']
Exploring Operation: 10+11=21, Resulting Numbers: [60, 21]
Generated Node #0,3,0: 66:[60, 21] Operation: 10+11=21
Exploring Operation: 60/10=6, Resulting Numbers: [11, 6]
Generated Node #0,3,1: 66:[11, 6] Operation: 60/10=6
Exploring Operation: 10+60=70, Resulting Numbers: [11, 70]
Generated Node #0,3,2: 66:[11, 70] Operation: 10+60=70
Exploring Operation: 60+11=71, Resulting Numbers: [10, 71]
Generated Node #0,3,3: 66:[10, 71] Operation: 60+11=71
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 66:[11, 6], Operations: ['75-64=11', '60/10=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,66 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[10, 64, 60, 75], Operations: []
Exploring Operation: 75-64=11, Resulting Numbers: [10, 60, 11]
Generated Node #0,3: 66:[10, 60, 11] Operation: 75-64=11
Moving to Node #0,3
Current State: 66:[10, 60, 11], Operations: ['75-64=11']
Exploring Operation: 60/10=6, Resulting Numbers: [11, 6]
Generated Node #0,3,1: 66:[11, 6] Operation: 60/10=6
Moving to Node #0,3,1
Current State: 66:[11, 6], Operations: ['75-64=11', '60/10=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
67,
55,
21,
20
] | 13 | [
"67-55=12",
"21-20=1",
"12+1=13"
] | Current State: 13:[67, 55, 21, 20], Operations: []
Exploring Operation: 67-55=12, Resulting Numbers: [21, 20, 12]
Generated Node #2: [21, 20, 12] from Operation: 67-55=12
Current State: 13:[21, 20, 12], Operations: ['67-55=12']
Exploring Operation: 21-20=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 21-20=1
Current State: 13:[12, 1], Operations: ['67-55=12', '21-20=1']
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[67, 55, 21, 20], Operations: []
Exploring Operation: 67-21=46, Resulting Numbers: [55, 20, 46]
Generated Node #0,0: 13:[55, 20, 46] Operation: 67-21=46
Exploring Operation: 55-21=34, Resulting Numbers: [67, 20, 34]
Generated Node #0,1: 13:[67, 20, 34] Operation: 55-21=34
Exploring Operation: 67-55=12, Resulting Numbers: [21, 20, 12]
Generated Node #0,2: 13:[21, 20, 12] Operation: 67-55=12
Moving to Node #0,2
Current State: 13:[21, 20, 12], Operations: ['67-55=12']
Exploring Operation: 21-12=9, Resulting Numbers: [20, 9]
Generated Node #0,2,0: 13:[20, 9] Operation: 21-12=9
Exploring Operation: 21-20=1, Resulting Numbers: [12, 1]
Generated Node #0,2,1: 13:[12, 1] Operation: 21-20=1
Exploring Operation: 20-12=8, Resulting Numbers: [21, 8]
Generated Node #0,2,2: 13:[21, 8] Operation: 20-12=8
Moving to Node #0,0
Current State: 13:[55, 20, 46], Operations: ['67-21=46']
Exploring Operation: 55-20=35, Resulting Numbers: [46, 35]
Generated Node #0,0,0: 13:[46, 35] Operation: 55-20=35
Exploring Operation: 55-46=9, Resulting Numbers: [20, 9]
Generated Node #0,0,1: 13:[20, 9] Operation: 55-46=9
Exploring Operation: 46-20=26, Resulting Numbers: [55, 26]
Generated Node #0,0,2: 13:[55, 26] Operation: 46-20=26
Moving to Node #0,1
Current State: 13:[67, 20, 34], Operations: ['55-21=34']
Exploring Operation: 67-20=47, Resulting Numbers: [34, 47]
Generated Node #0,1,0: 13:[34, 47] Operation: 67-20=47
Exploring Operation: 34-20=14, Resulting Numbers: [67, 14]
Generated Node #0,1,1: 13:[67, 14] Operation: 34-20=14
Exploring Operation: 67-34=33, Resulting Numbers: [20, 33]
Generated Node #0,1,2: 13:[20, 33] Operation: 67-34=33
Moving to Node #0,2,0
Current State: 13:[20, 9], Operations: ['67-55=12', '21-12=9']
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,13 unequal: No Solution
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[20, 9], Operations: ['67-21=46', '55-46=9']
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[21, 8], Operations: ['67-55=12', '20-12=8']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[67, 55, 21, 20], Operations: []
Exploring Operation: 67-55=12, Resulting Numbers: [21, 20, 12]
Generated Node #0,2: 13:[21, 20, 12] Operation: 67-55=12
Moving to Node #0,2
Current State: 13:[21, 20, 12], Operations: ['67-55=12']
Exploring Operation: 20-12=8, Resulting Numbers: [21, 8]
Generated Node #0,2,2: 13:[21, 8] Operation: 20-12=8
Moving to Node #0,2,2
Current State: 13:[21, 8], Operations: ['67-55=12', '20-12=8']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 0.980035 | hs_3 | mult_heuristic |
[
50,
27,
62,
23
] | 63 | [
"50-27=23",
"23/23=1",
"62+1=63"
] | Current State: 63:[50, 27, 62, 23], Operations: []
Exploring Operation: 50-27=23, Resulting Numbers: [62, 23, 23]
Generated Node #2: [62, 23, 23] from Operation: 50-27=23
Current State: 63:[62, 23, 23], Operations: ['50-27=23']
Exploring Operation: 23/23=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 23/23=1
Current State: 63:[62, 1], Operations: ['50-27=23', '23/23=1']
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[50, 27, 62, 23], Operations: []
Exploring Operation: 62-50=12, Resulting Numbers: [27, 23, 12]
Generated Node #0,0: 63:[27, 23, 12] Operation: 62-50=12
Exploring Operation: 50-27=23, Resulting Numbers: [62, 23, 23]
Generated Node #0,1: 63:[62, 23, 23] Operation: 50-27=23
Exploring Operation: 50-23=27, Resulting Numbers: [27, 62, 27]
Generated Node #0,2: 63:[27, 62, 27] Operation: 50-23=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[62, 23, 23], Operations: ['50-27=23']
Exploring Operation: 23+23=46, Resulting Numbers: [62, 46]
Generated Node #0,1,0: 63:[62, 46] Operation: 23+23=46
Exploring Operation: 23-23=0, Resulting Numbers: [62, 0]
Generated Node #0,1,1: 63:[62, 0] Operation: 23-23=0
Exploring Operation: 23/23=1, Resulting Numbers: [62, 1]
Generated Node #0,1,2: 63:[62, 1] Operation: 23/23=1
Moving to Node #0,1,2
Current State: 63:[62, 1], Operations: ['50-27=23', '23/23=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[50, 27, 62, 23], Operations: []
Exploring Operation: 50-27=23, Resulting Numbers: [62, 23, 23]
Generated Node #0,1: 63:[62, 23, 23] Operation: 50-27=23
Moving to Node #0,1
Current State: 63:[62, 23, 23], Operations: ['50-27=23']
Exploring Operation: 23/23=1, Resulting Numbers: [62, 1]
Generated Node #0,1,2: 63:[62, 1] Operation: 23/23=1
Moving to Node #0,1,2
Current State: 63:[62, 1], Operations: ['50-27=23', '23/23=1']
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
73,
40,
2,
23
] | 83 | [
"73*2=146",
"40+23=63",
"146-63=83"
] | Current State: 83:[73, 40, 2, 23], Operations: []
Exploring Operation: 73*2=146, Resulting Numbers: [40, 23, 146]
Generated Node #2: [40, 23, 146] from Operation: 73*2=146
Current State: 83:[40, 23, 146], Operations: ['73*2=146']
Exploring Operation: 40+23=63, Resulting Numbers: [146, 63]
Generated Node #3: [146, 63] from Operation: 40+23=63
Current State: 83:[146, 63], Operations: ['73*2=146', '40+23=63']
Exploring Operation: 146-63=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[73, 40, 2, 23], Operations: []
Exploring Operation: 73+2=75, Resulting Numbers: [40, 23, 75]
Generated Node #0,0: 83:[40, 23, 75] Operation: 73+2=75
Exploring Operation: 2*23=46, Resulting Numbers: [73, 40, 46]
Generated Node #0,1: 83:[73, 40, 46] Operation: 2*23=46
Exploring Operation: 40*2=80, Resulting Numbers: [73, 23, 80]
Generated Node #0,2: 83:[73, 23, 80] Operation: 40*2=80
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[73, 23, 80], Operations: ['40*2=80']
Exploring Operation: 73-23=50, Resulting Numbers: [80, 50]
Generated Node #0,2,0: 83:[80, 50] Operation: 73-23=50
Exploring Operation: 23+80=103, Resulting Numbers: [73, 103]
Generated Node #0,2,1: 83:[73, 103] Operation: 23+80=103
Exploring Operation: 73+23=96, Resulting Numbers: [80, 96]
Generated Node #0,2,2: 83:[80, 96] Operation: 73+23=96
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 83:[80, 96], Operations: ['40*2=80', '73+23=96']
Exploring Operation: 80+96=176, Resulting Numbers: [176]
176,83 unequal: No Solution
Exploring Operation: 80*96=7680, Resulting Numbers: [7680]
7680,83 unequal: No Solution
Exploring Operation: 96-80=16, Resulting Numbers: [16]
16,83 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 #0,2,1
Current State: 83:[73, 103], Operations: ['40*2=80', '23+80=103']
Exploring Operation: 73*103=7519, Resulting Numbers: [7519]
7519,83 unequal: No Solution
Exploring Operation: 73+103=176, Resulting Numbers: [176]
176,83 unequal: No Solution
Exploring Operation: 103-73=30, Resulting Numbers: [30]
30,83 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:[80, 50], Operations: ['40*2=80', '73-23=50']
Exploring Operation: 80*50=4000, Resulting Numbers: [4000]
4000,83 unequal: No Solution
Exploring Operation: 80+50=130, Resulting Numbers: [130]
130,83 unequal: No Solution
Exploring Operation: 80-50=30, Resulting Numbers: [30]
30,83 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:[73, 40, 46], Operations: ['2*23=46']
Exploring Operation: 73+40=113, Resulting Numbers: [46, 113]
Generated Node #0,1,0: 83:[46, 113] Operation: 73+40=113
Exploring Operation: 73+46=119, Resulting Numbers: [40, 119]
Generated Node #0,1,1: 83:[40, 119] Operation: 73+46=119
Exploring Operation: 40+46=86, Resulting Numbers: [73, 86]
Generated Node #0,1,2: 83:[73, 86] Operation: 40+46=86
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[73, 86], Operations: ['2*23=46', '40+46=86']
Exploring Operation: 73*86=6278, Resulting Numbers: [6278]
6278,83 unequal: No Solution
Exploring Operation: 86-73=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 73+86=159, Resulting Numbers: [159]
159,83 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 #0,1,0
Current State: 83:[46, 113], Operations: ['2*23=46', '73+40=113']
Exploring Operation: 46*113=5198, Resulting Numbers: [5198]
5198,83 unequal: No Solution
Exploring Operation: 46+113=159, Resulting Numbers: [159]
159,83 unequal: No Solution
Exploring Operation: 113-46=67, Resulting Numbers: [67]
67,83 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:[40, 119], Operations: ['2*23=46', '73+46=119']
Exploring Operation: 40*119=4760, Resulting Numbers: [4760]
4760,83 unequal: No Solution
Exploring Operation: 119-40=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 40+119=159, Resulting Numbers: [159]
159,83 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 #0,0
Current State: 83:[40, 23, 75], Operations: ['73+2=75']
Exploring Operation: 40+23=63, Resulting Numbers: [75, 63]
Generated Node #0,0,0: 83:[75, 63] Operation: 40+23=63
Exploring Operation: 40-23=17, Resulting Numbers: [75, 17]
Generated Node #0,0,1: 83:[75, 17] Operation: 40-23=17
Exploring Operation: 23+75=98, Resulting Numbers: [40, 98]
Generated Node #0,0,2: 83:[40, 98] Operation: 23+75=98
Moving to Node #0,0,0
Current State: 83:[75, 63], Operations: ['73+2=75', '40+23=63']
Exploring Operation: 75+63=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 75*63=4725, Resulting Numbers: [4725]
4725,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[40, 98], Operations: ['73+2=75', '23+75=98']
Exploring Operation: 40+98=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 98-40=58, Resulting Numbers: [58]
58,83 unequal: No Solution
Exploring Operation: 40*98=3920, Resulting Numbers: [3920]
3920,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[75, 17], Operations: ['73+2=75', '40-23=17']
Exploring Operation: 75+17=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Exploring Operation: 75*17=1275, Resulting Numbers: [1275]
1275,83 unequal: No Solution
Exploring Operation: 75-17=58, Resulting Numbers: [58]
58,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
60,
86,
42,
14
] | 66 | [
"60*14=840",
"840/42=20",
"86-20=66"
] | Current State: 66:[60, 86, 42, 14], Operations: []
Exploring Operation: 60*14=840, Resulting Numbers: [86, 42, 840]
Generated Node #2: [86, 42, 840] from Operation: 60*14=840
Current State: 66:[86, 42, 840], Operations: ['60*14=840']
Exploring Operation: 840/42=20, Resulting Numbers: [86, 20]
Generated Node #3: [86, 20] from Operation: 840/42=20
Current State: 66:[86, 20], Operations: ['60*14=840', '840/42=20']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[60, 86, 42, 14], Operations: []
Exploring Operation: 86-14=72, Resulting Numbers: [60, 42, 72]
Generated Node #0,0: 66:[60, 42, 72] Operation: 86-14=72
Exploring Operation: 86-42=44, Resulting Numbers: [60, 14, 44]
Generated Node #0,1: 66:[60, 14, 44] Operation: 86-42=44
Exploring Operation: 86-60=26, Resulting Numbers: [42, 14, 26]
Generated Node #0,2: 66:[42, 14, 26] Operation: 86-60=26
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[42, 14, 26], Operations: ['86-60=26']
Exploring Operation: 42+26=68, Resulting Numbers: [14, 68]
Generated Node #0,2,0: 66:[14, 68] Operation: 42+26=68
Exploring Operation: 42/14=3, Resulting Numbers: [26, 3]
Generated Node #0,2,1: 66:[26, 3] Operation: 42/14=3
Exploring Operation: 42-26=16, Resulting Numbers: [14, 16]
Generated Node #0,2,2: 66:[14, 16] Operation: 42-26=16
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 66:[26, 3], Operations: ['86-60=26', '42/14=3']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,66 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 #0,2,0
Current State: 66:[14, 68], Operations: ['86-60=26', '42+26=68']
Exploring Operation: 14*68=952, Resulting Numbers: [952]
952,66 unequal: No Solution
Exploring Operation: 14+68=82, Resulting Numbers: [82]
82,66 unequal: No Solution
Exploring Operation: 68-14=54, Resulting Numbers: [54]
54,66 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 #0,2,2
Current State: 66:[14, 16], Operations: ['86-60=26', '42-26=16']
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,66 unequal: No Solution
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,66 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 #0,1
Current State: 66:[60, 14, 44], Operations: ['86-42=44']
Exploring Operation: 44-14=30, Resulting Numbers: [60, 30]
Generated Node #0,1,0: 66:[60, 30] Operation: 44-14=30
Exploring Operation: 60-44=16, Resulting Numbers: [14, 16]
Generated Node #0,1,1: 66:[14, 16] Operation: 60-44=16
Exploring Operation: 14+44=58, Resulting Numbers: [60, 58]
Generated Node #0,1,2: 66:[60, 58] Operation: 14+44=58
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 66:[14, 16], Operations: ['86-42=44', '60-44=16']
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,66 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,66 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 #0,1,0
Current State: 66:[60, 30], Operations: ['86-42=44', '44-14=30']
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,66 unequal: No Solution
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,66 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 #0,1,2
Current State: 66:[60, 58], Operations: ['86-42=44', '14+44=58']
Exploring Operation: 60+58=118, Resulting Numbers: [118]
118,66 unequal: No Solution
Exploring Operation: 60-58=2, Resulting Numbers: [2]
2,66 unequal: No Solution
Exploring Operation: 60*58=3480, Resulting Numbers: [3480]
3480,66 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:[60, 42, 72], Operations: ['86-14=72']
Exploring Operation: 72-42=30, Resulting Numbers: [60, 30]
Generated Node #0,0,0: 66:[60, 30] Operation: 72-42=30
Exploring Operation: 72-60=12, Resulting Numbers: [42, 12]
Generated Node #0,0,1: 66:[42, 12] Operation: 72-60=12
Exploring Operation: 60-42=18, Resulting Numbers: [72, 18]
Generated Node #0,0,2: 66:[72, 18] Operation: 60-42=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[60, 30], Operations: ['86-14=72', '72-42=30']
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,66 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,66 unequal: No Solution
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,66 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 #0,0,1
Current State: 66:[42, 12], Operations: ['86-14=72', '72-60=12']
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 42*12=504, Resulting Numbers: [504]
504,66 unequal: No Solution
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,66 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 #0,0,2
Current State: 66:[72, 18], Operations: ['86-14=72', '60-42=18']
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 72+18=90, Resulting Numbers: [90]
90,66 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_3 | mult_heuristic |
[
61,
63,
51,
60
] | 54 | [
"60-51=9",
"63/9=7",
"61-7=54"
] | Current State: 54:[61, 63, 51, 60], Operations: []
Exploring Operation: 60-51=9, Resulting Numbers: [61, 63, 9]
Generated Node #2: [61, 63, 9] from Operation: 60-51=9
Current State: 54:[61, 63, 9], Operations: ['60-51=9']
Exploring Operation: 63/9=7, Resulting Numbers: [61, 7]
Generated Node #3: [61, 7] from Operation: 63/9=7
Current State: 54:[61, 7], Operations: ['60-51=9', '63/9=7']
Exploring Operation: 61-7=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[61, 63, 51, 60], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [51, 60, 2]
Generated Node #0,0: 54:[51, 60, 2] Operation: 63-61=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[51, 60, 2], Operations: ['63-61=2']
Exploring Operation: 60-51=9, Resulting Numbers: [2, 9]
Generated Node #0,0,0: 54:[2, 9] Operation: 60-51=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[2, 9], Operations: ['63-61=2', '60-51=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,54 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_1 | mult_heuristic |
[
5,
38,
37,
94
] | 59 | [
"5*38=190",
"37+94=131",
"190-131=59"
] | Current State: 59:[5, 38, 37, 94], Operations: []
Exploring Operation: 5*38=190, Resulting Numbers: [37, 94, 190]
Generated Node #2: [37, 94, 190] from Operation: 5*38=190
Current State: 59:[37, 94, 190], Operations: ['5*38=190']
Exploring Operation: 37+94=131, Resulting Numbers: [190, 131]
Generated Node #3: [190, 131] from Operation: 37+94=131
Current State: 59:[190, 131], Operations: ['5*38=190', '37+94=131']
Exploring Operation: 190-131=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[5, 38, 37, 94], Operations: []
Exploring Operation: 5+37=42, Resulting Numbers: [38, 94, 42]
Generated Node #0,0: 59:[38, 94, 42] Operation: 5+37=42
Exploring Operation: 94-37=57, Resulting Numbers: [5, 38, 57]
Generated Node #0,1: 59:[5, 38, 57] Operation: 94-37=57
Exploring Operation: 94-5=89, Resulting Numbers: [38, 37, 89]
Generated Node #0,2: 59:[38, 37, 89] Operation: 94-5=89
Exploring Operation: 5+38=43, Resulting Numbers: [37, 94, 43]
Generated Node #0,3: 59:[37, 94, 43] Operation: 5+38=43
Exploring Operation: 94-38=56, Resulting Numbers: [5, 37, 56]
Generated Node #0,4: 59:[5, 37, 56] Operation: 94-38=56
Moving to Node #0,0
Current State: 59:[38, 94, 42], Operations: ['5+37=42']
Exploring Operation: 38+94=132, Resulting Numbers: [42, 132]
Generated Node #0,0,0: 59:[42, 132] Operation: 38+94=132
Exploring Operation: 42-38=4, Resulting Numbers: [94, 4]
Generated Node #0,0,1: 59:[94, 4] Operation: 42-38=4
Exploring Operation: 38+42=80, Resulting Numbers: [94, 80]
Generated Node #0,0,2: 59:[94, 80] Operation: 38+42=80
Exploring Operation: 94-38=56, Resulting Numbers: [42, 56]
Generated Node #0,0,3: 59:[42, 56] Operation: 94-38=56
Exploring Operation: 94-42=52, Resulting Numbers: [38, 52]
Generated Node #0,0,4: 59:[38, 52] Operation: 94-42=52
Moving to Node #0,3
Current State: 59:[37, 94, 43], Operations: ['5+38=43']
Exploring Operation: 43-37=6, Resulting Numbers: [94, 6]
Generated Node #0,3,0: 59:[94, 6] Operation: 43-37=6
Exploring Operation: 37+43=80, Resulting Numbers: [94, 80]
Generated Node #0,3,1: 59:[94, 80] Operation: 37+43=80
Exploring Operation: 94-37=57, Resulting Numbers: [43, 57]
Generated Node #0,3,2: 59:[43, 57] Operation: 94-37=57
Exploring Operation: 94-43=51, Resulting Numbers: [37, 51]
Generated Node #0,3,3: 59:[37, 51] Operation: 94-43=51
Exploring Operation: 37+94=131, Resulting Numbers: [43, 131]
Generated Node #0,3,4: 59:[43, 131] Operation: 37+94=131
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 59:[43, 57], Operations: ['5+38=43', '94-37=57']
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,59 unequal: No Solution
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,59 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 #0,3,3
Current State: 59:[37, 51], Operations: ['5+38=43', '94-43=51']
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 37*51=1887, Resulting Numbers: [1887]
1887,59 unequal: No Solution
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,59 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 #0,3,1
Current State: 59:[94, 80], Operations: ['5+38=43', '37+43=80']
Exploring Operation: 94-80=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 94*80=7520, Resulting Numbers: [7520]
7520,59 unequal: No Solution
Exploring Operation: 94+80=174, Resulting Numbers: [174]
174,59 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 #0,3,0
Current State: 59:[94, 6], Operations: ['5+38=43', '43-37=6']
Exploring Operation: 94*6=564, Resulting Numbers: [564]
564,59 unequal: No Solution
Exploring Operation: 94+6=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,59 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 #0,3,4
Current State: 59:[43, 131], Operations: ['5+38=43', '37+94=131']
Exploring Operation: 43+131=174, Resulting Numbers: [174]
174,59 unequal: No Solution
Exploring Operation: 43*131=5633, Resulting Numbers: [5633]
5633,59 unequal: No Solution
Exploring Operation: 131-43=88, Resulting Numbers: [88]
88,59 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: 59:[38, 37, 89], Operations: ['94-5=89']
Exploring Operation: 89-38=51, Resulting Numbers: [37, 51]
Generated Node #0,2,0: 59:[37, 51] Operation: 89-38=51
Exploring Operation: 38+37=75, Resulting Numbers: [89, 75]
Generated Node #0,2,1: 59:[89, 75] Operation: 38+37=75
Exploring Operation: 89-37=52, Resulting Numbers: [38, 52]
Generated Node #0,2,2: 59:[38, 52] Operation: 89-37=52
Exploring Operation: 37+89=126, Resulting Numbers: [38, 126]
Generated Node #0,2,3: 59:[38, 126] Operation: 37+89=126
Exploring Operation: 38-37=1, Resulting Numbers: [89, 1]
Generated Node #0,2,4: 59:[89, 1] Operation: 38-37=1
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[38, 52], Operations: ['94-5=89', '89-37=52']
Exploring Operation: 38+52=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 38*52=1976, Resulting Numbers: [1976]
1976,59 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 #0,2,0
Current State: 59:[37, 51], Operations: ['94-5=89', '89-38=51']
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 37*51=1887, Resulting Numbers: [1887]
1887,59 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 #0,2,1
Current State: 59:[89, 75], Operations: ['94-5=89', '38+37=75']
Exploring Operation: 89+75=164, Resulting Numbers: [164]
164,59 unequal: No Solution
Exploring Operation: 89-75=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 89*75=6675, Resulting Numbers: [6675]
6675,59 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 #0,2,3
Current State: 59:[38, 126], Operations: ['94-5=89', '37+89=126']
Exploring Operation: 126-38=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 38*126=4788, Resulting Numbers: [4788]
4788,59 unequal: No Solution
Exploring Operation: 38+126=164, Resulting Numbers: [164]
164,59 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 #0,2,4
Current State: 59:[89, 1], Operations: ['94-5=89', '38-37=1']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,59 unequal: No Solution
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Exploring Operation: 89/1=89, Resulting Numbers: [89]
89,59 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: 59:[5, 38, 57], Operations: ['94-37=57']
Exploring Operation: 57-5=52, Resulting Numbers: [38, 52]
Generated Node #0,1,0: 59:[38, 52] Operation: 57-5=52
Exploring Operation: 38+57=95, Resulting Numbers: [5, 95]
Generated Node #0,1,1: 59:[5, 95] Operation: 38+57=95
Exploring Operation: 5+38=43, Resulting Numbers: [57, 43]
Generated Node #0,1,2: 59:[57, 43] Operation: 5+38=43
Exploring Operation: 5+57=62, Resulting Numbers: [38, 62]
Generated Node #0,1,3: 59:[38, 62] Operation: 5+57=62
Exploring Operation: 38-5=33, Resulting Numbers: [57, 33]
Generated Node #0,1,4: 59:[57, 33] Operation: 38-5=33
Moving to Node #0,4
Current State: 59:[5, 37, 56], Operations: ['94-38=56']
Exploring Operation: 37+56=93, Resulting Numbers: [5, 93]
Generated Node #0,4,0: 59:[5, 93] Operation: 37+56=93
Exploring Operation: 5+37=42, Resulting Numbers: [56, 42]
Generated Node #0,4,1: 59:[56, 42] Operation: 5+37=42
Exploring Operation: 37-5=32, Resulting Numbers: [56, 32]
Generated Node #0,4,2: 59:[56, 32] Operation: 37-5=32
Exploring Operation: 56-5=51, Resulting Numbers: [37, 51]
Generated Node #0,4,3: 59:[37, 51] Operation: 56-5=51
Exploring Operation: 5+56=61, Resulting Numbers: [37, 61]
Generated Node #0,4,4: 59:[37, 61] Operation: 5+56=61
Moving to Node #0,1,2
Current State: 59:[57, 43], Operations: ['94-37=57', '5+38=43']
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 57*43=2451, Resulting Numbers: [2451]
2451,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[42, 56], Operations: ['5+37=42', '94-38=56']
Exploring Operation: 42*56=2352, Resulting Numbers: [2352]
2352,59 unequal: No Solution
Exploring Operation: 42+56=98, Resulting Numbers: [98]
98,59 unequal: No Solution
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Moving to Node #0,4,1
Current State: 59:[56, 42], Operations: ['94-38=56', '5+37=42']
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 56+42=98, Resulting Numbers: [98]
98,59 unequal: No Solution
Exploring Operation: 56*42=2352, Resulting Numbers: [2352]
2352,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[38, 62], Operations: ['94-37=57', '5+57=62']
Exploring Operation: 38+62=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 38*62=2356, Resulting Numbers: [2356]
2356,59 unequal: No Solution
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Moving to Node #0,4,4
Current State: 59:[37, 61], Operations: ['94-38=56', '5+56=61']
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 37+61=98, Resulting Numbers: [98]
98,59 unequal: No Solution
Exploring Operation: 37*61=2257, Resulting Numbers: [2257]
2257,59 unequal: No Solution
Moving to Node #0,0,4
Current State: 59:[38, 52], Operations: ['5+37=42', '94-42=52']
Exploring Operation: 38*52=1976, Resulting Numbers: [1976]
1976,59 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 38+52=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[38, 52], Operations: ['94-37=57', '57-5=52']
Exploring Operation: 38*52=1976, Resulting Numbers: [1976]
1976,59 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 38+52=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Moving to Node #0,1,4
Current State: 59:[57, 33], Operations: ['94-37=57', '38-5=33']
Exploring Operation: 57-33=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 57+33=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Exploring Operation: 57*33=1881, Resulting Numbers: [1881]
1881,59 unequal: No Solution
Moving to Node #0,4,3
Current State: 59:[37, 51], Operations: ['94-38=56', '56-5=51']
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 37*51=1887, Resulting Numbers: [1887]
1887,59 unequal: No Solution
Moving to Node #0,4,2
Current State: 59:[56, 32], Operations: ['94-38=56', '37-5=32']
Exploring Operation: 56*32=1792, Resulting Numbers: [1792]
1792,59 unequal: No Solution
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 56+32=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[94, 80], Operations: ['5+37=42', '38+42=80']
Exploring Operation: 94+80=174, Resulting Numbers: [174]
174,59 unequal: No Solution
Exploring Operation: 94-80=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 94*80=7520, Resulting Numbers: [7520]
7520,59 unequal: No Solution
Moving to Node #0,4,0
Current State: 59:[5, 93], Operations: ['94-38=56', '37+56=93']
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 5*93=465, Resulting Numbers: [465]
465,59 unequal: No Solution
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[42, 132], Operations: ['5+37=42', '38+94=132']
Exploring Operation: 132-42=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Exploring Operation: 42*132=5544, Resulting Numbers: [5544]
5544,59 unequal: No Solution
Exploring Operation: 42+132=174, Resulting Numbers: [174]
174,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[94, 4], Operations: ['5+37=42', '42-38=4']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Exploring Operation: 94*4=376, Resulting Numbers: [376]
376,59 unequal: No Solution
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[5, 95], Operations: ['94-37=57', '38+57=95']
Exploring Operation: 5+95=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,59 unequal: No Solution
Exploring Operation: 5*95=475, Resulting Numbers: [475]
475,59 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
71,
10,
76,
60
] | 89 | [
"76-60=16",
"10*16=160",
"160-71=89"
] | Current State: 89:[71, 10, 76, 60], Operations: []
Exploring Operation: 76-60=16, Resulting Numbers: [71, 10, 16]
Generated Node #2: [71, 10, 16] from Operation: 76-60=16
Current State: 89:[71, 10, 16], Operations: ['76-60=16']
Exploring Operation: 10*16=160, Resulting Numbers: [71, 160]
Generated Node #3: [71, 160] from Operation: 10*16=160
Current State: 89:[71, 160], Operations: ['76-60=16', '10*16=160']
Exploring Operation: 160-71=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[71, 10, 76, 60], Operations: []
Exploring Operation: 10+76=86, Resulting Numbers: [71, 60, 86]
Generated Node #0,0: 89:[71, 60, 86] Operation: 10+76=86
Exploring Operation: 71+10=81, Resulting Numbers: [76, 60, 81]
Generated Node #0,1: 89:[76, 60, 81] Operation: 71+10=81
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[71, 60, 86], Operations: ['10+76=86']
Exploring Operation: 71+60=131, Resulting Numbers: [86, 131]
Generated Node #0,0,0: 89:[86, 131] Operation: 71+60=131
Exploring Operation: 60+86=146, Resulting Numbers: [71, 146]
Generated Node #0,0,1: 89:[71, 146] Operation: 60+86=146
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[86, 131], Operations: ['10+76=86', '71+60=131']
Exploring Operation: 86+131=217, Resulting Numbers: [217]
217,89 unequal: No Solution
Exploring Operation: 131-86=45, Resulting Numbers: [45]
45,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[71, 146], Operations: ['10+76=86', '60+86=146']
Exploring Operation: 71+146=217, Resulting Numbers: [217]
217,89 unequal: No Solution
Exploring Operation: 146-71=75, Resulting Numbers: [75]
75,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[76, 60, 81], Operations: ['71+10=81']
Exploring Operation: 60+81=141, Resulting Numbers: [76, 141]
Generated Node #0,1,0: 89:[76, 141] Operation: 60+81=141
Exploring Operation: 76+60=136, Resulting Numbers: [81, 136]
Generated Node #0,1,1: 89:[81, 136] Operation: 76+60=136
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[81, 136], Operations: ['71+10=81', '76+60=136']
Exploring Operation: 136-81=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 81+136=217, Resulting Numbers: [217]
217,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[76, 141], Operations: ['71+10=81', '60+81=141']
Exploring Operation: 76+141=217, Resulting Numbers: [217]
217,89 unequal: No Solution
Exploring Operation: 141-76=65, Resulting Numbers: [65]
65,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
5,
4,
8,
89
] | 82 | [
"5-4=1",
"89-8=81",
"1+81=82"
] | Current State: 82:[5, 4, 8, 89], Operations: []
Exploring Operation: 5-4=1, Resulting Numbers: [8, 89, 1]
Generated Node #2: [8, 89, 1] from Operation: 5-4=1
Current State: 82:[8, 89, 1], Operations: ['5-4=1']
Exploring Operation: 89-8=81, Resulting Numbers: [1, 81]
Generated Node #3: [1, 81] from Operation: 89-8=81
Current State: 82:[1, 81], Operations: ['5-4=1', '89-8=81']
Exploring Operation: 1+81=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[5, 4, 8, 89], Operations: []
Exploring Operation: 89-8=81, Resulting Numbers: [5, 4, 81]
Generated Node #0,0: 82:[5, 4, 81] Operation: 89-8=81
Moving to Node #0,0
Current State: 82:[5, 4, 81], Operations: ['89-8=81']
Exploring Operation: 5-4=1, Resulting Numbers: [81, 1]
Generated Node #0,0,0: 82:[81, 1] Operation: 5-4=1
Moving to Node #0,0,0
Current State: 82:[81, 1], Operations: ['89-8=81', '5-4=1']
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[5, 4, 8, 89], Operations: []
Exploring Operation: 89-8=81, Resulting Numbers: [5, 4, 81]
Generated Node #0,0: 82:[5, 4, 81] Operation: 89-8=81
Moving to Node #0,0
Current State: 82:[5, 4, 81], Operations: ['89-8=81']
Exploring Operation: 5-4=1, Resulting Numbers: [81, 1]
Generated Node #0,0,0: 82:[81, 1] Operation: 5-4=1
Moving to Node #0,0,0
Current State: 82:[81, 1], Operations: ['89-8=81', '5-4=1']
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
8,
86,
42,
11
] | 41 | [
"8+86=94",
"42+11=53",
"94-53=41"
] | Current State: 41:[8, 86, 42, 11], Operations: []
Exploring Operation: 8+86=94, Resulting Numbers: [42, 11, 94]
Generated Node #2: [42, 11, 94] from Operation: 8+86=94
Current State: 41:[42, 11, 94], Operations: ['8+86=94']
Exploring Operation: 42+11=53, Resulting Numbers: [94, 53]
Generated Node #3: [94, 53] from Operation: 42+11=53
Current State: 41:[94, 53], Operations: ['8+86=94', '42+11=53']
Exploring Operation: 94-53=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[8, 86, 42, 11], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [8, 11, 44]
Generated Node #0,0: 41:[8, 11, 44] Operation: 86-42=44
Exploring Operation: 86-8=78, Resulting Numbers: [42, 11, 78]
Generated Node #0,1: 41:[42, 11, 78] Operation: 86-8=78
Moving to Node #0,0
Current State: 41:[8, 11, 44], Operations: ['86-42=44']
Exploring Operation: 44-8=36, Resulting Numbers: [11, 36]
Generated Node #0,0,0: 41:[11, 36] Operation: 44-8=36
Exploring Operation: 8+11=19, Resulting Numbers: [44, 19]
Generated Node #0,0,1: 41:[44, 19] Operation: 8+11=19
Moving to Node #0,1
Current State: 41:[42, 11, 78], Operations: ['86-8=78']
Exploring Operation: 78-42=36, Resulting Numbers: [11, 36]
Generated Node #0,1,0: 41:[11, 36] Operation: 78-42=36
Exploring Operation: 78-11=67, Resulting Numbers: [42, 67]
Generated Node #0,1,1: 41:[42, 67] Operation: 78-11=67
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[42, 67], Operations: ['86-8=78', '78-11=67']
Exploring Operation: 42+67=109, Resulting Numbers: [109]
109,41 unequal: No Solution
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[11, 36], Operations: ['86-8=78', '78-42=36']
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,41 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 41:[44, 19], Operations: ['86-42=44', '8+11=19']
Exploring Operation: 44+19=63, Resulting Numbers: [63]
63,41 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[11, 36], Operations: ['86-42=44', '44-8=36']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,41 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
32,
74,
24,
16
] | 82 | [
"74-32=42",
"24+16=40",
"42+40=82"
] | Current State: 82:[32, 74, 24, 16], Operations: []
Exploring Operation: 74-32=42, Resulting Numbers: [24, 16, 42]
Generated Node #2: [24, 16, 42] from Operation: 74-32=42
Current State: 82:[24, 16, 42], Operations: ['74-32=42']
Exploring Operation: 24+16=40, Resulting Numbers: [42, 40]
Generated Node #3: [42, 40] from Operation: 24+16=40
Current State: 82:[42, 40], Operations: ['74-32=42', '24+16=40']
Exploring Operation: 42+40=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[32, 74, 24, 16], Operations: []
Exploring Operation: 24-16=8, Resulting Numbers: [32, 74, 8]
Generated Node #0,0: 82:[32, 74, 8] Operation: 24-16=8
Exploring Operation: 24+16=40, Resulting Numbers: [32, 74, 40]
Generated Node #0,1: 82:[32, 74, 40] Operation: 24+16=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[32, 74, 40], Operations: ['24+16=40']
Exploring Operation: 74-32=42, Resulting Numbers: [40, 42]
Generated Node #0,1,0: 82:[40, 42] Operation: 74-32=42
Exploring Operation: 40-32=8, Resulting Numbers: [74, 8]
Generated Node #0,1,1: 82:[74, 8] Operation: 40-32=8
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[40, 42], Operations: ['24+16=40', '74-32=42']
Exploring Operation: 40+42=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[32, 74, 24, 16], Operations: []
Exploring Operation: 24+16=40, Resulting Numbers: [32, 74, 40]
Generated Node #0,1: 82:[32, 74, 40] Operation: 24+16=40
Moving to Node #0,1
Current State: 82:[32, 74, 40], Operations: ['24+16=40']
Exploring Operation: 74-32=42, Resulting Numbers: [40, 42]
Generated Node #0,1,0: 82:[40, 42] Operation: 74-32=42
Moving to Node #0,1,0
Current State: 82:[40, 42], Operations: ['24+16=40', '74-32=42']
Exploring Operation: 40+42=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
33,
64,
98,
76
] | 76 | [
"33+64=97",
"98-97=1",
"76*1=76"
] | Current State: 76:[33, 64, 98, 76], Operations: []
Exploring Operation: 33+64=97, Resulting Numbers: [98, 76, 97]
Generated Node #2: [98, 76, 97] from Operation: 33+64=97
Current State: 76:[98, 76, 97], Operations: ['33+64=97']
Exploring Operation: 98-97=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 98-97=1
Current State: 76:[76, 1], Operations: ['33+64=97', '98-97=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[33, 64, 98, 76], Operations: []
Exploring Operation: 98-76=22, Resulting Numbers: [33, 64, 22]
Generated Node #0,0: 76:[33, 64, 22] Operation: 98-76=22
Exploring Operation: 98-64=34, Resulting Numbers: [33, 76, 34]
Generated Node #0,1: 76:[33, 76, 34] Operation: 98-64=34
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[33, 76, 34], Operations: ['98-64=34']
Exploring Operation: 76-33=43, Resulting Numbers: [34, 43]
Generated Node #0,1,0: 76:[34, 43] Operation: 76-33=43
Exploring Operation: 34-33=1, Resulting Numbers: [76, 1]
Generated Node #0,1,1: 76:[76, 1] Operation: 34-33=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[76, 1], Operations: ['98-64=34', '34-33=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[33, 64, 98, 76], Operations: []
Exploring Operation: 98-64=34, Resulting Numbers: [33, 76, 34]
Generated Node #0,1: 76:[33, 76, 34] Operation: 98-64=34
Moving to Node #0,1
Current State: 76:[33, 76, 34], Operations: ['98-64=34']
Exploring Operation: 34-33=1, Resulting Numbers: [76, 1]
Generated Node #0,1,1: 76:[76, 1] Operation: 34-33=1
Moving to Node #0,1,1
Current State: 76:[76, 1], Operations: ['98-64=34', '34-33=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
| 0.992188 | hs_2 | mult_heuristic |
[
81,
99,
55,
63
] | 80 | [
"81+63=144",
"55*144=7920",
"7920/99=80"
] | Current State: 80:[81, 99, 55, 63], Operations: []
Exploring Operation: 81+63=144, Resulting Numbers: [99, 55, 144]
Generated Node #2: [99, 55, 144] from Operation: 81+63=144
Current State: 80:[99, 55, 144], Operations: ['81+63=144']
Exploring Operation: 55*144=7920, Resulting Numbers: [99, 7920]
Generated Node #3: [99, 7920] from Operation: 55*144=7920
Current State: 80:[99, 7920], Operations: ['81+63=144', '55*144=7920']
Exploring Operation: 7920/99=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[81, 99, 55, 63], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [81, 99, 8]
Generated Node #0,0: 80:[81, 99, 8] Operation: 63-55=8
Exploring Operation: 99-63=36, Resulting Numbers: [81, 55, 36]
Generated Node #0,1: 80:[81, 55, 36] Operation: 99-63=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[81, 99, 8], Operations: ['63-55=8']
Exploring Operation: 99-8=91, Resulting Numbers: [81, 91]
Generated Node #0,0,0: 80:[81, 91] Operation: 99-8=91
Exploring Operation: 99-81=18, Resulting Numbers: [8, 18]
Generated Node #0,0,1: 80:[8, 18] Operation: 99-81=18
Moving to Node #0,0,1
Current State: 80:[8, 18], Operations: ['63-55=8', '99-81=18']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[81, 91], Operations: ['63-55=8', '99-8=91']
Exploring Operation: 81+91=172, Resulting Numbers: [172]
172,80 unequal: No Solution
Exploring Operation: 91-81=10, Resulting Numbers: [10]
10,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[81, 55, 36], Operations: ['99-63=36']
Exploring Operation: 81-55=26, Resulting Numbers: [36, 26]
Generated Node #0,1,0: 80:[36, 26] Operation: 81-55=26
Exploring Operation: 55-36=19, Resulting Numbers: [81, 19]
Generated Node #0,1,1: 80:[81, 19] Operation: 55-36=19
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 80:[81, 19], Operations: ['99-63=36', '55-36=19']
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 81+19=100, Resulting Numbers: [100]
100,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 80:[36, 26], Operations: ['99-63=36', '81-55=26']
Exploring Operation: 36+26=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
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