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 |
|---|---|---|---|---|---|---|---|---|
[
12,
30,
26,
23
] | 67 | [
"30-12=18",
"26+23=49",
"18+49=67"
] | Current State: 67:[12, 30, 26, 23], Operations: []
Exploring Operation: 30-12=18, Resulting Numbers: [26, 23, 18]
Generated Node #2: [26, 23, 18] from Operation: 30-12=18
Current State: 67:[26, 23, 18], Operations: ['30-12=18']
Exploring Operation: 26+23=49, Resulting Numbers: [18, 49]
Generated Node #3: [18, 49] from Operation: 26+23=49
Current State: 67:[18, 49], Operations: ['30-12=18', '26+23=49']
Exploring Operation: 18+49=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[12, 30, 26, 23], Operations: []
Exploring Operation: 12+30=42, Resulting Numbers: [26, 23, 42]
Generated Node #0,0: 67:[26, 23, 42] Operation: 12+30=42
Moving to Node #0,0
Current State: 67:[26, 23, 42], Operations: ['12+30=42']
Exploring Operation: 26+23=49, Resulting Numbers: [42, 49]
Generated Node #0,0,0: 67:[42, 49] Operation: 26+23=49
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[42, 49], Operations: ['12+30=42', '26+23=49']
Exploring Operation: 42+49=91, Resulting Numbers: [91]
91,67 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 |
[
2,
52,
25,
25
] | 77 | [
"2*25=50",
"52-25=27",
"50+27=77"
] | Current State: 77:[2, 52, 25, 25], Operations: []
Exploring Operation: 2*25=50, Resulting Numbers: [52, 50]
Generated Node #2: [52, 50] from Operation: 2*25=50
Current State: 77:[52, 50], Operations: ['2*25=50']
Exploring Operation: 52-25=27, Resulting Numbers: [50, 27]
Generated Node #3: [50, 27] from Operation: 52-25=27
Current State: 77:[50, 27], Operations: ['2*25=50', '52-25=27']
Exploring Operation: 50+27=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[2, 52, 25, 25], Operations: []
Exploring Operation: 52+25=77, Resulting Numbers: [2, 25, 77]
Generated Node #0,0: 77:[2, 25, 77] Operation: 52+25=77
Exploring Operation: 52+25=77, Resulting Numbers: [2, 25, 77]
Generated Node #0,1: 77:[2, 25, 77] Operation: 52+25=77
Exploring Operation: 52-25=27, Resulting Numbers: [2, 25, 27]
Generated Node #0,2: 77:[2, 25, 27] Operation: 52-25=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[2, 25, 77], Operations: ['52+25=77']
Exploring Operation: 2+25=27, Resulting Numbers: [77, 27]
Generated Node #0,0,0: 77:[77, 27] Operation: 2+25=27
Exploring Operation: 25-2=23, Resulting Numbers: [77, 23]
Generated Node #0,0,1: 77:[77, 23] Operation: 25-2=23
Exploring Operation: 2+77=79, Resulting Numbers: [25, 79]
Generated Node #0,0,2: 77:[25, 79] Operation: 2+77=79
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 77:[77, 23], Operations: ['52+25=77', '25-2=23']
Exploring Operation: 77-23=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 77*23=1771, Resulting Numbers: [1771]
1771,77 unequal: No Solution
Exploring Operation: 77+23=100, Resulting Numbers: [100]
100,77 unequal: No Solution
No 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: 77:[77, 27], Operations: ['52+25=77', '2+25=27']
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 77+27=104, Resulting Numbers: [104]
104,77 unequal: No Solution
Exploring Operation: 77*27=2079, Resulting Numbers: [2079]
2079,77 unequal: No Solution
No 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: 77:[25, 79], Operations: ['52+25=77', '2+77=79']
Exploring Operation: 79-25=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 25*79=1975, Resulting Numbers: [1975]
1975,77 unequal: No Solution
Exploring Operation: 25+79=104, Resulting Numbers: [104]
104,77 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: 77:[2, 25, 77], Operations: ['52+25=77']
Exploring Operation: 2+25=27, Resulting Numbers: [77, 27]
Generated Node #0,1,0: 77:[77, 27] Operation: 2+25=27
Exploring Operation: 25-2=23, Resulting Numbers: [77, 23]
Generated Node #0,1,1: 77:[77, 23] Operation: 25-2=23
Exploring Operation: 2+77=79, Resulting Numbers: [25, 79]
Generated Node #0,1,2: 77:[25, 79] Operation: 2+77=79
Moving to Node #0,1,1
Current State: 77:[77, 23], Operations: ['52+25=77', '25-2=23']
Exploring Operation: 77+23=100, Resulting Numbers: [100]
100,77 unequal: No Solution
Exploring Operation: 77*23=1771, Resulting Numbers: [1771]
1771,77 unequal: No Solution
Exploring Operation: 77-23=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[77, 27], Operations: ['52+25=77', '2+25=27']
Exploring Operation: 77+27=104, Resulting Numbers: [104]
104,77 unequal: No Solution
Exploring Operation: 77*27=2079, Resulting Numbers: [2079]
2079,77 unequal: No Solution
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[25, 79], Operations: ['52+25=77', '2+77=79']
Exploring Operation: 79-25=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 25*79=1975, Resulting Numbers: [1975]
1975,77 unequal: No Solution
Exploring Operation: 25+79=104, Resulting Numbers: [104]
104,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 77:[2, 25, 27], Operations: ['52-25=27']
Exploring Operation: 25-2=23, Resulting Numbers: [27, 23]
Generated Node #0,2,0: 77:[27, 23] Operation: 25-2=23
Exploring Operation: 27-2=25, Resulting Numbers: [25, 25]
Generated Node #0,2,1: 77:[25, 25] Operation: 27-2=25
Exploring Operation: 27-25=2, Resulting Numbers: [2, 2]
Generated Node #0,2,2: 77:[2, 2] Operation: 27-25=2
Moving to Node #0,2,2
Current State: 77:[2, 2], Operations: ['52-25=27', '27-25=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[27, 23], Operations: ['52-25=27', '25-2=23']
Exploring Operation: 27+23=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 27*23=621, Resulting Numbers: [621]
621,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[25, 25], Operations: ['52-25=27', '27-2=25']
Exploring Operation: 25-25=0, Resulting Numbers: [0]
0,77 unequal: No Solution
Exploring Operation: 25+25=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 25/25=1, Resulting Numbers: [1]
1,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
44,
9,
24,
54
] | 25 | [
"44+9=53",
"24+54=78",
"78-53=25"
] | Current State: 25:[44, 9, 24, 54], Operations: []
Exploring Operation: 44+9=53, Resulting Numbers: [24, 54, 53]
Generated Node #2: [24, 54, 53] from Operation: 44+9=53
Current State: 25:[24, 54, 53], Operations: ['44+9=53']
Exploring Operation: 24+54=78, Resulting Numbers: [53, 78]
Generated Node #3: [53, 78] from Operation: 24+54=78
Current State: 25:[53, 78], Operations: ['44+9=53', '24+54=78']
Exploring Operation: 78-53=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[44, 9, 24, 54], Operations: []
Exploring Operation: 54-24=30, Resulting Numbers: [44, 9, 30]
Generated Node #0,0: 25:[44, 9, 30] Operation: 54-24=30
Exploring Operation: 54-44=10, Resulting Numbers: [9, 24, 10]
Generated Node #0,1: 25:[9, 24, 10] Operation: 54-44=10
Exploring Operation: 54/9=6, Resulting Numbers: [44, 24, 6]
Generated Node #0,2: 25:[44, 24, 6] Operation: 54/9=6
Moving to Node #0,1
Current State: 25:[9, 24, 10], Operations: ['54-44=10']
Exploring Operation: 10-9=1, Resulting Numbers: [24, 1]
Generated Node #0,1,0: 25:[24, 1] Operation: 10-9=1
Exploring Operation: 9+24=33, Resulting Numbers: [10, 33]
Generated Node #0,1,1: 25:[10, 33] Operation: 9+24=33
Exploring Operation: 9+10=19, Resulting Numbers: [24, 19]
Generated Node #0,1,2: 25:[24, 19] Operation: 9+10=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[24, 1], Operations: ['54-44=10', '10-9=1']
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[44, 9, 24, 54], Operations: []
Exploring Operation: 54-44=10, Resulting Numbers: [9, 24, 10]
Generated Node #0,1: 25:[9, 24, 10] Operation: 54-44=10
Moving to Node #0,1
Current State: 25:[9, 24, 10], Operations: ['54-44=10']
Exploring Operation: 10-9=1, Resulting Numbers: [24, 1]
Generated Node #0,1,0: 25:[24, 1] Operation: 10-9=1
Moving to Node #0,1,0
Current State: 25:[24, 1], Operations: ['54-44=10', '10-9=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
27,
10,
26,
74
] | 65 | [
"27-10=17",
"74-26=48",
"17+48=65"
] | Current State: 65:[27, 10, 26, 74], Operations: []
Exploring Operation: 27-10=17, Resulting Numbers: [26, 74, 17]
Generated Node #2: [26, 74, 17] from Operation: 27-10=17
Current State: 65:[26, 74, 17], Operations: ['27-10=17']
Exploring Operation: 74-26=48, Resulting Numbers: [17, 48]
Generated Node #3: [17, 48] from Operation: 74-26=48
Current State: 65:[17, 48], Operations: ['27-10=17', '74-26=48']
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[27, 10, 26, 74], Operations: []
Exploring Operation: 27+26=53, Resulting Numbers: [10, 74, 53]
Generated Node #0,0: 65:[10, 74, 53] Operation: 27+26=53
Exploring Operation: 27-26=1, Resulting Numbers: [10, 74, 1]
Generated Node #0,1: 65:[10, 74, 1] Operation: 27-26=1
Moving to Node #0,1
Current State: 65:[10, 74, 1], Operations: ['27-26=1']
Exploring Operation: 10+1=11, Resulting Numbers: [74, 11]
Generated Node #0,1,0: 65:[74, 11] Operation: 10+1=11
Exploring Operation: 74-10=64, Resulting Numbers: [1, 64]
Generated Node #0,1,1: 65:[1, 64] Operation: 74-10=64
Moving to Node #0,0
Current State: 65:[10, 74, 53], Operations: ['27+26=53']
Exploring Operation: 10+53=63, Resulting Numbers: [74, 63]
Generated Node #0,0,0: 65:[74, 63] Operation: 10+53=63
Exploring Operation: 74-53=21, Resulting Numbers: [10, 21]
Generated Node #0,0,1: 65:[10, 21] Operation: 74-53=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[74, 63], Operations: ['27+26=53', '10+53=63']
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Exploring Operation: 74+63=137, Resulting Numbers: [137]
137,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 65:[10, 21], Operations: ['27+26=53', '74-53=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,65 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 65:[1, 64], Operations: ['27-26=1', '74-10=64']
Exploring Operation: 1+64=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[27, 10, 26, 74], Operations: []
Exploring Operation: 27-26=1, Resulting Numbers: [10, 74, 1]
Generated Node #0,1: 65:[10, 74, 1] Operation: 27-26=1
Moving to Node #0,1
Current State: 65:[10, 74, 1], Operations: ['27-26=1']
Exploring Operation: 74-10=64, Resulting Numbers: [1, 64]
Generated Node #0,1,1: 65:[1, 64] Operation: 74-10=64
Moving to Node #0,1,1
Current State: 65:[1, 64], Operations: ['27-26=1', '74-10=64']
Exploring Operation: 1+64=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
3,
52,
72,
1
] | 77 | [
"72/3=24",
"52+1=53",
"24+53=77"
] | Current State: 77:[3, 52, 72, 1], Operations: []
Exploring Operation: 72/3=24, Resulting Numbers: [52, 1, 24]
Generated Node #2: [52, 1, 24] from Operation: 72/3=24
Current State: 77:[52, 1, 24], Operations: ['72/3=24']
Exploring Operation: 52+1=53, Resulting Numbers: [24, 53]
Generated Node #3: [24, 53] from Operation: 52+1=53
Current State: 77:[24, 53], Operations: ['72/3=24', '52+1=53']
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[3, 52, 72, 1], Operations: []
Exploring Operation: 3+52=55, Resulting Numbers: [72, 1, 55]
Generated Node #0,0: 77:[72, 1, 55] Operation: 3+52=55
Exploring Operation: 3+72=75, Resulting Numbers: [52, 1, 75]
Generated Node #0,1: 77:[52, 1, 75] Operation: 3+72=75
Exploring Operation: 72-52=20, Resulting Numbers: [3, 1, 20]
Generated Node #0,2: 77:[3, 1, 20] Operation: 72-52=20
Moving to Node #0,2
Current State: 77:[3, 1, 20], Operations: ['72-52=20']
Exploring Operation: 3+1=4, Resulting Numbers: [20, 4]
Generated Node #0,2,0: 77:[20, 4] Operation: 3+1=4
Exploring Operation: 20-3=17, Resulting Numbers: [1, 17]
Generated Node #0,2,1: 77:[1, 17] Operation: 20-3=17
Exploring Operation: 20-1=19, Resulting Numbers: [3, 19]
Generated Node #0,2,2: 77:[3, 19] Operation: 20-1=19
Moving to Node #0,0
Current State: 77:[72, 1, 55], Operations: ['3+52=55']
Exploring Operation: 72-55=17, Resulting Numbers: [1, 17]
Generated Node #0,0,0: 77:[1, 17] Operation: 72-55=17
Exploring Operation: 1+55=56, Resulting Numbers: [72, 56]
Generated Node #0,0,1: 77:[72, 56] Operation: 1+55=56
Exploring Operation: 72+1=73, Resulting Numbers: [55, 73]
Generated Node #0,0,2: 77:[55, 73] Operation: 72+1=73
Moving to Node #0,1
Current State: 77:[52, 1, 75], Operations: ['3+72=75']
Exploring Operation: 1+75=76, Resulting Numbers: [52, 76]
Generated Node #0,1,0: 77:[52, 76] Operation: 1+75=76
Exploring Operation: 52+1=53, Resulting Numbers: [75, 53]
Generated Node #0,1,1: 77:[75, 53] Operation: 52+1=53
Exploring Operation: 75-52=23, Resulting Numbers: [1, 23]
Generated Node #0,1,2: 77:[1, 23] Operation: 75-52=23
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 77:[1, 23], Operations: ['3+72=75', '75-52=23']
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[52, 76], Operations: ['3+72=75', '1+75=76']
Exploring Operation: 52*76=3952, Resulting Numbers: [3952]
3952,77 unequal: No Solution
Exploring Operation: 52+76=128, Resulting Numbers: [128]
128,77 unequal: No Solution
Exploring Operation: 76-52=24, Resulting Numbers: [24]
24,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[75, 53], Operations: ['3+72=75', '52+1=53']
Exploring Operation: 75-53=22, Resulting Numbers: [22]
22,77 unequal: No Solution
Exploring Operation: 75+53=128, Resulting Numbers: [128]
128,77 unequal: No Solution
Exploring Operation: 75*53=3975, Resulting Numbers: [3975]
3975,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 77:[20, 4], Operations: ['72-52=20', '3+1=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[3, 19], Operations: ['72-52=20', '20-1=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,77 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[1, 17], Operations: ['72-52=20', '20-3=17']
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,77 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,77 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[1, 17], Operations: ['3+52=55', '72-55=17']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,77 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[72, 56], Operations: ['3+52=55', '1+55=56']
Exploring Operation: 72-56=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 72+56=128, Resulting Numbers: [128]
128,77 unequal: No Solution
Exploring Operation: 72*56=4032, Resulting Numbers: [4032]
4032,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[55, 73], Operations: ['3+52=55', '72+1=73']
Exploring Operation: 73-55=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 55*73=4015, Resulting Numbers: [4015]
4015,77 unequal: No Solution
Exploring Operation: 55+73=128, Resulting Numbers: [128]
128,77 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
94,
10,
81,
66
] | 97 | [
"94+66=160",
"160/10=16",
"81+16=97"
] | Current State: 97:[94, 10, 81, 66], Operations: []
Exploring Operation: 94+66=160, Resulting Numbers: [10, 81, 160]
Generated Node #2: [10, 81, 160] from Operation: 94+66=160
Current State: 97:[10, 81, 160], Operations: ['94+66=160']
Exploring Operation: 160/10=16, Resulting Numbers: [81, 16]
Generated Node #3: [81, 16] from Operation: 160/10=16
Current State: 97:[81, 16], Operations: ['94+66=160', '160/10=16']
Exploring Operation: 81+16=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[94, 10, 81, 66], Operations: []
Exploring Operation: 10+81=91, Resulting Numbers: [94, 66, 91]
Generated Node #0,0: 97:[94, 66, 91] Operation: 10+81=91
Exploring Operation: 94+10=104, Resulting Numbers: [81, 66, 104]
Generated Node #0,1: 97:[81, 66, 104] Operation: 94+10=104
Exploring Operation: 10+66=76, Resulting Numbers: [94, 81, 76]
Generated Node #0,2: 97:[94, 81, 76] Operation: 10+66=76
Moving to Node #0,0
Current State: 97:[94, 66, 91], Operations: ['10+81=91']
Exploring Operation: 94+66=160, Resulting Numbers: [91, 160]
Generated Node #0,0,0: 97:[91, 160] Operation: 94+66=160
Exploring Operation: 94-66=28, Resulting Numbers: [91, 28]
Generated Node #0,0,1: 97:[91, 28] Operation: 94-66=28
Exploring Operation: 66+91=157, Resulting Numbers: [94, 157]
Generated Node #0,0,2: 97:[94, 157] Operation: 66+91=157
Moving to Node #0,2
Current State: 97:[94, 81, 76], Operations: ['10+66=76']
Exploring Operation: 94+76=170, Resulting Numbers: [81, 170]
Generated Node #0,2,0: 97:[81, 170] Operation: 94+76=170
Exploring Operation: 94-76=18, Resulting Numbers: [81, 18]
Generated Node #0,2,1: 97:[81, 18] Operation: 94-76=18
Exploring Operation: 81+76=157, Resulting Numbers: [94, 157]
Generated Node #0,2,2: 97:[94, 157] Operation: 81+76=157
Moving to Node #0,1
Current State: 97:[81, 66, 104], Operations: ['94+10=104']
Exploring Operation: 81-66=15, Resulting Numbers: [104, 15]
Generated Node #0,1,0: 97:[104, 15] Operation: 81-66=15
Exploring Operation: 81+66=147, Resulting Numbers: [104, 147]
Generated Node #0,1,1: 97:[104, 147] Operation: 81+66=147
Exploring Operation: 104-66=38, Resulting Numbers: [81, 38]
Generated Node #0,1,2: 97:[81, 38] Operation: 104-66=38
Moving to Node #0,1,1
Current State: 97:[104, 147], Operations: ['94+10=104', '81+66=147']
Exploring Operation: 104+147=251, Resulting Numbers: [251]
251,97 unequal: No Solution
Exploring Operation: 147-104=43, Resulting Numbers: [43]
43,97 unequal: No Solution
Exploring Operation: 104*147=15288, Resulting Numbers: [15288]
15288,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[94, 157], Operations: ['10+81=91', '66+91=157']
Exploring Operation: 157-94=63, Resulting Numbers: [63]
63,97 unequal: No Solution
Exploring Operation: 94+157=251, Resulting Numbers: [251]
251,97 unequal: No Solution
Exploring Operation: 94*157=14758, Resulting Numbers: [14758]
14758,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[94, 157], Operations: ['10+66=76', '81+76=157']
Exploring Operation: 94*157=14758, Resulting Numbers: [14758]
14758,97 unequal: No Solution
Exploring Operation: 157-94=63, Resulting Numbers: [63]
63,97 unequal: No Solution
Exploring Operation: 94+157=251, Resulting Numbers: [251]
251,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[91, 160], Operations: ['10+81=91', '94+66=160']
Exploring Operation: 91+160=251, Resulting Numbers: [251]
251,97 unequal: No Solution
Exploring Operation: 91*160=14560, Resulting Numbers: [14560]
14560,97 unequal: No Solution
Exploring Operation: 160-91=69, Resulting Numbers: [69]
69,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[91, 28], Operations: ['10+81=91', '94-66=28']
Exploring Operation: 91*28=2548, Resulting Numbers: [2548]
2548,97 unequal: No Solution
Exploring Operation: 91-28=63, Resulting Numbers: [63]
63,97 unequal: No Solution
Exploring Operation: 91+28=119, Resulting Numbers: [119]
119,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[81, 38], Operations: ['94+10=104', '104-66=38']
Exploring Operation: 81+38=119, Resulting Numbers: [119]
119,97 unequal: No Solution
Exploring Operation: 81-38=43, Resulting Numbers: [43]
43,97 unequal: No Solution
Exploring Operation: 81*38=3078, Resulting Numbers: [3078]
3078,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[104, 15], Operations: ['94+10=104', '81-66=15']
Exploring Operation: 104*15=1560, Resulting Numbers: [1560]
1560,97 unequal: No Solution
Exploring Operation: 104+15=119, Resulting Numbers: [119]
119,97 unequal: No Solution
Exploring Operation: 104-15=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[81, 170], Operations: ['10+66=76', '94+76=170']
Exploring Operation: 81*170=13770, Resulting Numbers: [13770]
13770,97 unequal: No Solution
Exploring Operation: 170-81=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 81+170=251, Resulting Numbers: [251]
251,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[81, 18], Operations: ['10+66=76', '94-76=18']
Exploring Operation: 81+18=99, Resulting Numbers: [99]
99,97 unequal: No Solution
Exploring Operation: 81*18=1458, Resulting Numbers: [1458]
1458,97 unequal: No Solution
Exploring Operation: 81-18=63, Resulting Numbers: [63]
63,97 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
81,
76,
46,
93
] | 18 | [
"81+76=157",
"46+93=139",
"157-139=18"
] | Current State: 18:[81, 76, 46, 93], Operations: []
Exploring Operation: 81+76=157, Resulting Numbers: [46, 93, 157]
Generated Node #2: [46, 93, 157] from Operation: 81+76=157
Current State: 18:[46, 93, 157], Operations: ['81+76=157']
Exploring Operation: 46+93=139, Resulting Numbers: [157, 139]
Generated Node #3: [157, 139] from Operation: 46+93=139
Current State: 18:[157, 139], Operations: ['81+76=157', '46+93=139']
Exploring Operation: 157-139=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[81, 76, 46, 93], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [46, 93, 5]
Generated Node #0,0: 18:[46, 93, 5] Operation: 81-76=5
Exploring Operation: 93-76=17, Resulting Numbers: [81, 46, 17]
Generated Node #0,1: 18:[81, 46, 17] Operation: 93-76=17
Exploring Operation: 93-81=12, Resulting Numbers: [76, 46, 12]
Generated Node #0,2: 18:[76, 46, 12] Operation: 93-81=12
Moving to Node #0,2
Current State: 18:[76, 46, 12], Operations: ['93-81=12']
Exploring Operation: 46-12=34, Resulting Numbers: [76, 34]
Generated Node #0,2,0: 18:[76, 34] Operation: 46-12=34
Exploring Operation: 76-12=64, Resulting Numbers: [46, 64]
Generated Node #0,2,1: 18:[46, 64] Operation: 76-12=64
Exploring Operation: 76-46=30, Resulting Numbers: [12, 30]
Generated Node #0,2,2: 18:[12, 30] Operation: 76-46=30
Moving to Node #0,1
Current State: 18:[81, 46, 17], Operations: ['93-76=17']
Exploring Operation: 46-17=29, Resulting Numbers: [81, 29]
Generated Node #0,1,0: 18:[81, 29] Operation: 46-17=29
Exploring Operation: 81-46=35, Resulting Numbers: [17, 35]
Generated Node #0,1,1: 18:[17, 35] Operation: 81-46=35
Exploring Operation: 81-17=64, Resulting Numbers: [46, 64]
Generated Node #0,1,2: 18:[46, 64] Operation: 81-17=64
Moving to Node #0,0
Current State: 18:[46, 93, 5], Operations: ['81-76=5']
Exploring Operation: 46-5=41, Resulting Numbers: [93, 41]
Generated Node #0,0,0: 18:[93, 41] Operation: 46-5=41
Exploring Operation: 93-5=88, Resulting Numbers: [46, 88]
Generated Node #0,0,1: 18:[46, 88] Operation: 93-5=88
Exploring Operation: 93-46=47, Resulting Numbers: [5, 47]
Generated Node #0,0,2: 18:[5, 47] Operation: 93-46=47
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 18:[5, 47], Operations: ['81-76=5', '93-46=47']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,18 unequal: No Solution
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,18 unequal: No Solution
Exploring Operation: 5*47=235, Resulting Numbers: [235]
235,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[93, 41], Operations: ['81-76=5', '46-5=41']
Exploring Operation: 93+41=134, Resulting Numbers: [134]
134,18 unequal: No Solution
Exploring Operation: 93*41=3813, Resulting Numbers: [3813]
3813,18 unequal: No Solution
Exploring Operation: 93-41=52, Resulting Numbers: [52]
52,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 18:[46, 88], Operations: ['81-76=5', '93-5=88']
Exploring Operation: 88-46=42, Resulting Numbers: [42]
42,18 unequal: No Solution
Exploring Operation: 46+88=134, Resulting Numbers: [134]
134,18 unequal: No Solution
Exploring Operation: 46*88=4048, Resulting Numbers: [4048]
4048,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 18:[12, 30], Operations: ['93-81=12', '76-46=30']
Exploring Operation: 12*30=360, Resulting Numbers: [360]
360,18 unequal: No Solution
Exploring Operation: 12+30=42, Resulting Numbers: [42]
42,18 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[81, 76, 46, 93], Operations: []
Exploring Operation: 93-81=12, Resulting Numbers: [76, 46, 12]
Generated Node #0,2: 18:[76, 46, 12] Operation: 93-81=12
Moving to Node #0,2
Current State: 18:[76, 46, 12], Operations: ['93-81=12']
Exploring Operation: 76-46=30, Resulting Numbers: [12, 30]
Generated Node #0,2,2: 18:[12, 30] Operation: 76-46=30
Moving to Node #0,2,2
Current State: 18:[12, 30], Operations: ['93-81=12', '76-46=30']
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.975694 | hs_3 | sum_heuristic |
[
28,
96,
3,
29
] | 37 | [
"28+96=124",
"3*29=87",
"124-87=37"
] | Current State: 37:[28, 96, 3, 29], Operations: []
Exploring Operation: 28+96=124, Resulting Numbers: [3, 29, 124]
Generated Node #2: [3, 29, 124] from Operation: 28+96=124
Current State: 37:[3, 29, 124], Operations: ['28+96=124']
Exploring Operation: 3*29=87, Resulting Numbers: [124, 87]
Generated Node #3: [124, 87] from Operation: 3*29=87
Current State: 37:[124, 87], Operations: ['28+96=124', '3*29=87']
Exploring Operation: 124-87=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[28, 96, 3, 29], Operations: []
Exploring Operation: 96/3=32, Resulting Numbers: [28, 29, 32]
Generated Node #0,0: 37:[28, 29, 32] Operation: 96/3=32
Exploring Operation: 96-28=68, Resulting Numbers: [3, 29, 68]
Generated Node #0,1: 37:[3, 29, 68] Operation: 96-28=68
Moving to Node #0,0
Current State: 37:[28, 29, 32], Operations: ['96/3=32']
Exploring Operation: 28+32=60, Resulting Numbers: [29, 60]
Generated Node #0,0,0: 37:[29, 60] Operation: 28+32=60
Exploring Operation: 28+29=57, Resulting Numbers: [32, 57]
Generated Node #0,0,1: 37:[32, 57] Operation: 28+29=57
Moving to Node #0,1
Current State: 37:[3, 29, 68], Operations: ['96-28=68']
Exploring Operation: 3+29=32, Resulting Numbers: [68, 32]
Generated Node #0,1,0: 37:[68, 32] Operation: 3+29=32
Exploring Operation: 68-3=65, Resulting Numbers: [29, 65]
Generated Node #0,1,1: 37:[29, 65] Operation: 68-3=65
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[68, 32], Operations: ['96-28=68', '3+29=32']
Exploring Operation: 68+32=100, Resulting Numbers: [100]
100,37 unequal: No Solution
Exploring Operation: 68-32=36, Resulting Numbers: [36]
36,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[29, 65], Operations: ['96-28=68', '68-3=65']
Exploring Operation: 29+65=94, Resulting Numbers: [94]
94,37 unequal: No Solution
Exploring Operation: 65-29=36, Resulting Numbers: [36]
36,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 37:[32, 57], Operations: ['96/3=32', '28+29=57']
Exploring Operation: 32+57=89, Resulting Numbers: [89]
89,37 unequal: No Solution
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[29, 60], Operations: ['96/3=32', '28+32=60']
Exploring Operation: 29+60=89, Resulting Numbers: [89]
89,37 unequal: No Solution
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,37 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
2,
32,
97,
99
] | 68 | [
"2+32=34",
"99-97=2",
"34*2=68"
] | Current State: 68:[2, 32, 97, 99], Operations: []
Exploring Operation: 2+32=34, Resulting Numbers: [97, 99, 34]
Generated Node #2: [97, 99, 34] from Operation: 2+32=34
Current State: 68:[97, 99, 34], Operations: ['2+32=34']
Exploring Operation: 99-97=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 99-97=2
Current State: 68:[34, 2], Operations: ['2+32=34', '99-97=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[2, 32, 97, 99], Operations: []
Exploring Operation: 2+32=34, Resulting Numbers: [97, 99, 34]
Generated Node #0,0: 68:[97, 99, 34] Operation: 2+32=34
Exploring Operation: 99-32=67, Resulting Numbers: [2, 97, 67]
Generated Node #0,1: 68:[2, 97, 67] Operation: 99-32=67
Exploring Operation: 97-32=65, Resulting Numbers: [2, 99, 65]
Generated Node #0,2: 68:[2, 99, 65] Operation: 97-32=65
Exploring Operation: 99-97=2, Resulting Numbers: [2, 32, 2]
Generated Node #0,3: 68:[2, 32, 2] Operation: 99-97=2
Exploring Operation: 97-2=95, Resulting Numbers: [32, 99, 95]
Generated Node #0,4: 68:[32, 99, 95] Operation: 97-2=95
Moving to Node #0,3
Current State: 68:[2, 32, 2], Operations: ['99-97=2']
Exploring Operation: 32/2=16, Resulting Numbers: [2, 16]
Generated Node #0,3,0: 68:[2, 16] Operation: 32/2=16
Exploring Operation: 32+2=34, Resulting Numbers: [2, 34]
Generated Node #0,3,1: 68:[2, 34] Operation: 32+2=34
Exploring Operation: 32/2=16, Resulting Numbers: [2, 16]
Generated Node #0,3,2: 68:[2, 16] Operation: 32/2=16
Exploring Operation: 2+32=34, Resulting Numbers: [2, 34]
Generated Node #0,3,3: 68:[2, 34] Operation: 2+32=34
Exploring Operation: 2+2=4, Resulting Numbers: [32, 4]
Generated Node #0,3,4: 68:[32, 4] Operation: 2+2=4
Moving to Node #0,1
Current State: 68:[2, 97, 67], Operations: ['99-32=67']
Exploring Operation: 2+97=99, Resulting Numbers: [67, 99]
Generated Node #0,1,0: 68:[67, 99] Operation: 2+97=99
Exploring Operation: 97-67=30, Resulting Numbers: [2, 30]
Generated Node #0,1,1: 68:[2, 30] Operation: 97-67=30
Exploring Operation: 97-2=95, Resulting Numbers: [67, 95]
Generated Node #0,1,2: 68:[67, 95] Operation: 97-2=95
Exploring Operation: 2+67=69, Resulting Numbers: [97, 69]
Generated Node #0,1,3: 68:[97, 69] Operation: 2+67=69
Exploring Operation: 67-2=65, Resulting Numbers: [97, 65]
Generated Node #0,1,4: 68:[97, 65] Operation: 67-2=65
Moving to Node #0,2
Current State: 68:[2, 99, 65], Operations: ['97-32=65']
Exploring Operation: 65-2=63, Resulting Numbers: [99, 63]
Generated Node #0,2,0: 68:[99, 63] Operation: 65-2=63
Exploring Operation: 2+99=101, Resulting Numbers: [65, 101]
Generated Node #0,2,1: 68:[65, 101] Operation: 2+99=101
Exploring Operation: 99-65=34, Resulting Numbers: [2, 34]
Generated Node #0,2,2: 68:[2, 34] Operation: 99-65=34
Exploring Operation: 2+65=67, Resulting Numbers: [99, 67]
Generated Node #0,2,3: 68:[99, 67] Operation: 2+65=67
Exploring Operation: 99-2=97, Resulting Numbers: [65, 97]
Generated Node #0,2,4: 68:[65, 97] Operation: 99-2=97
Moving to Node #0,0
Current State: 68:[97, 99, 34], Operations: ['2+32=34']
Exploring Operation: 99-97=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 68:[34, 2] Operation: 99-97=2
Exploring Operation: 99-34=65, Resulting Numbers: [97, 65]
Generated Node #0,0,1: 68:[97, 65] Operation: 99-34=65
Exploring Operation: 97+34=131, Resulting Numbers: [99, 131]
Generated Node #0,0,2: 68:[99, 131] Operation: 97+34=131
Exploring Operation: 99+34=133, Resulting Numbers: [97, 133]
Generated Node #0,0,3: 68:[97, 133] Operation: 99+34=133
Exploring Operation: 97-34=63, Resulting Numbers: [99, 63]
Generated Node #0,0,4: 68:[99, 63] Operation: 97-34=63
Moving to Node #0,4
Current State: 68:[32, 99, 95], Operations: ['97-2=95']
Exploring Operation: 32+99=131, Resulting Numbers: [95, 131]
Generated Node #0,4,0: 68:[95, 131] Operation: 32+99=131
Exploring Operation: 99-95=4, Resulting Numbers: [32, 4]
Generated Node #0,4,1: 68:[32, 4] Operation: 99-95=4
Exploring Operation: 99-32=67, Resulting Numbers: [95, 67]
Generated Node #0,4,2: 68:[95, 67] Operation: 99-32=67
Exploring Operation: 32+95=127, Resulting Numbers: [99, 127]
Generated Node #0,4,3: 68:[99, 127] Operation: 32+95=127
Exploring Operation: 95-32=63, Resulting Numbers: [99, 63]
Generated Node #0,4,4: 68:[99, 63] Operation: 95-32=63
Moving to Node #0,3,1
Current State: 68:[2, 34], Operations: ['99-97=2', '32+2=34']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[2, 32, 97, 99], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [2, 32, 2]
Generated Node #0,3: 68:[2, 32, 2] Operation: 99-97=2
Moving to Node #0,3
Current State: 68:[2, 32, 2], Operations: ['99-97=2']
Exploring Operation: 32+2=34, Resulting Numbers: [2, 34]
Generated Node #0,3,1: 68:[2, 34] Operation: 32+2=34
Moving to Node #0,3,1
Current State: 68:[2, 34], Operations: ['99-97=2', '32+2=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.967882 | hs_5 | sum_heuristic |
[
64,
12,
33,
9
] | 100 | [
"64+12=76",
"33-9=24",
"76+24=100"
] | Current State: 100:[64, 12, 33, 9], Operations: []
Exploring Operation: 64+12=76, Resulting Numbers: [33, 9, 76]
Generated Node #2: [33, 9, 76] from Operation: 64+12=76
Current State: 100:[33, 9, 76], Operations: ['64+12=76']
Exploring Operation: 33-9=24, Resulting Numbers: [76, 24]
Generated Node #3: [76, 24] from Operation: 33-9=24
Current State: 100:[76, 24], Operations: ['64+12=76', '33-9=24']
Exploring Operation: 76+24=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[64, 12, 33, 9], Operations: []
Exploring Operation: 64-33=31, Resulting Numbers: [12, 9, 31]
Generated Node #0,0: 100:[12, 9, 31] Operation: 64-33=31
Exploring Operation: 64-12=52, Resulting Numbers: [33, 9, 52]
Generated Node #0,1: 100:[33, 9, 52] Operation: 64-12=52
Exploring Operation: 64-9=55, Resulting Numbers: [12, 33, 55]
Generated Node #0,2: 100:[12, 33, 55] Operation: 64-9=55
Exploring Operation: 64+33=97, Resulting Numbers: [12, 9, 97]
Generated Node #0,3: 100:[12, 9, 97] Operation: 64+33=97
Exploring Operation: 33-12=21, Resulting Numbers: [64, 9, 21]
Generated Node #0,4: 100:[64, 9, 21] Operation: 33-12=21
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[12, 9, 97], Operations: ['64+33=97']
Exploring Operation: 9+97=106, Resulting Numbers: [12, 106]
Generated Node #0,3,0: 100:[12, 106] Operation: 9+97=106
Exploring Operation: 12-9=3, Resulting Numbers: [97, 3]
Generated Node #0,3,1: 100:[97, 3] Operation: 12-9=3
Exploring Operation: 12+9=21, Resulting Numbers: [97, 21]
Generated Node #0,3,2: 100:[97, 21] Operation: 12+9=21
Exploring Operation: 12*9=108, Resulting Numbers: [97, 108]
Generated Node #0,3,3: 100:[97, 108] Operation: 12*9=108
Exploring Operation: 12+97=109, Resulting Numbers: [9, 109]
Generated Node #0,3,4: 100:[9, 109] Operation: 12+97=109
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 100:[97, 3], Operations: ['64+33=97', '12-9=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,100 unequal: No Solution
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[64, 12, 33, 9], Operations: []
Exploring Operation: 64+33=97, Resulting Numbers: [12, 9, 97]
Generated Node #0,3: 100:[12, 9, 97] Operation: 64+33=97
Moving to Node #0,3
Current State: 100:[12, 9, 97], Operations: ['64+33=97']
Exploring Operation: 12-9=3, Resulting Numbers: [97, 3]
Generated Node #0,3,1: 100:[97, 3] Operation: 12-9=3
Moving to Node #0,3,1
Current State: 100:[97, 3], Operations: ['64+33=97', '12-9=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
58,
62,
56,
87
] | 27 | [
"62-58=4",
"87-56=31",
"31-4=27"
] | Current State: 27:[58, 62, 56, 87], Operations: []
Exploring Operation: 62-58=4, Resulting Numbers: [56, 87, 4]
Generated Node #2: [56, 87, 4] from Operation: 62-58=4
Current State: 27:[56, 87, 4], Operations: ['62-58=4']
Exploring Operation: 87-56=31, Resulting Numbers: [4, 31]
Generated Node #3: [4, 31] from Operation: 87-56=31
Current State: 27:[4, 31], Operations: ['62-58=4', '87-56=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[58, 62, 56, 87], Operations: []
Exploring Operation: 87-58=29, Resulting Numbers: [62, 56, 29]
Generated Node #0,0: 27:[62, 56, 29] Operation: 87-58=29
Exploring Operation: 62-56=6, Resulting Numbers: [58, 87, 6]
Generated Node #0,1: 27:[58, 87, 6] Operation: 62-56=6
Exploring Operation: 87-62=25, Resulting Numbers: [58, 56, 25]
Generated Node #0,2: 27:[58, 56, 25] Operation: 87-62=25
Exploring Operation: 62-58=4, Resulting Numbers: [56, 87, 4]
Generated Node #0,3: 27:[56, 87, 4] Operation: 62-58=4
Exploring Operation: 87-56=31, Resulting Numbers: [58, 62, 31]
Generated Node #0,4: 27:[58, 62, 31] Operation: 87-56=31
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[58, 56, 25], Operations: ['87-62=25']
Exploring Operation: 58-25=33, Resulting Numbers: [56, 33]
Generated Node #0,2,0: 27:[56, 33] Operation: 58-25=33
Exploring Operation: 58+25=83, Resulting Numbers: [56, 83]
Generated Node #0,2,1: 27:[56, 83] Operation: 58+25=83
Exploring Operation: 58-56=2, Resulting Numbers: [25, 2]
Generated Node #0,2,2: 27:[25, 2] Operation: 58-56=2
Exploring Operation: 56-25=31, Resulting Numbers: [58, 31]
Generated Node #0,2,3: 27:[58, 31] Operation: 56-25=31
Exploring Operation: 56+25=81, Resulting Numbers: [58, 81]
Generated Node #0,2,4: 27:[58, 81] Operation: 56+25=81
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 27:[25, 2], Operations: ['87-62=25', '58-56=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[58, 62, 56, 87], Operations: []
Exploring Operation: 87-62=25, Resulting Numbers: [58, 56, 25]
Generated Node #0,2: 27:[58, 56, 25] Operation: 87-62=25
Moving to Node #0,2
Current State: 27:[58, 56, 25], Operations: ['87-62=25']
Exploring Operation: 58-56=2, Resulting Numbers: [25, 2]
Generated Node #0,2,2: 27:[25, 2] Operation: 58-56=2
Moving to Node #0,2,2
Current State: 27:[25, 2], Operations: ['87-62=25', '58-56=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
90,
45,
65,
70
] | 99 | [
"70-65=5",
"45/5=9",
"90+9=99"
] | Current State: 99:[90, 45, 65, 70], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [90, 45, 5]
Generated Node #2: [90, 45, 5] from Operation: 70-65=5
Current State: 99:[90, 45, 5], Operations: ['70-65=5']
Exploring Operation: 45/5=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 45/5=9
Current State: 99:[90, 9], Operations: ['70-65=5', '45/5=9']
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[90, 45, 65, 70], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [90, 45, 5]
Generated Node #0,0: 99:[90, 45, 5] Operation: 70-65=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[90, 45, 5], Operations: ['70-65=5']
Exploring Operation: 90/45=2, Resulting Numbers: [5, 2]
Generated Node #0,0,0: 99:[5, 2] Operation: 90/45=2
Moving to Node #0,0,0
Current State: 99:[5, 2], Operations: ['70-65=5', '90/45=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
78,
18,
6,
35
] | 27 | [
"18/6=3",
"35*3=105",
"105-78=27"
] | Current State: 27:[78, 18, 6, 35], Operations: []
Exploring Operation: 18/6=3, Resulting Numbers: [78, 35, 3]
Generated Node #2: [78, 35, 3] from Operation: 18/6=3
Current State: 27:[78, 35, 3], Operations: ['18/6=3']
Exploring Operation: 35*3=105, Resulting Numbers: [78, 105]
Generated Node #3: [78, 105] from Operation: 35*3=105
Current State: 27:[78, 105], Operations: ['18/6=3', '35*3=105']
Exploring Operation: 105-78=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[78, 18, 6, 35], Operations: []
Exploring Operation: 78-35=43, Resulting Numbers: [18, 6, 43]
Generated Node #0,0: 27:[18, 6, 43] Operation: 78-35=43
Exploring Operation: 78-18=60, Resulting Numbers: [6, 35, 60]
Generated Node #0,1: 27:[6, 35, 60] Operation: 78-18=60
Exploring Operation: 78/6=13, Resulting Numbers: [18, 35, 13]
Generated Node #0,2: 27:[18, 35, 13] Operation: 78/6=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[18, 35, 13], Operations: ['78/6=13']
Exploring Operation: 35-18=17, Resulting Numbers: [13, 17]
Generated Node #0,2,0: 27:[13, 17] Operation: 35-18=17
Exploring Operation: 18+13=31, Resulting Numbers: [35, 31]
Generated Node #0,2,1: 27:[35, 31] Operation: 18+13=31
Exploring Operation: 18-13=5, Resulting Numbers: [35, 5]
Generated Node #0,2,2: 27:[35, 5] Operation: 18-13=5
Moving to Node #0,2,2
Current State: 27:[35, 5], Operations: ['78/6=13', '18-13=5']
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,27 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,27 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Moving to Node #0,2,0
Current State: 27:[13, 17], Operations: ['78/6=13', '35-18=17']
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,27 unequal: No Solution
Exploring Operation: 13*17=221, Resulting Numbers: [221]
221,27 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[35, 31], Operations: ['78/6=13', '18+13=31']
Exploring Operation: 35*31=1085, Resulting Numbers: [1085]
1085,27 unequal: No Solution
Exploring Operation: 35+31=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[18, 6, 43], Operations: ['78-35=43']
Exploring Operation: 18+6=24, Resulting Numbers: [43, 24]
Generated Node #0,0,0: 27:[43, 24] Operation: 18+6=24
Exploring Operation: 43-18=25, Resulting Numbers: [6, 25]
Generated Node #0,0,1: 27:[6, 25] Operation: 43-18=25
Exploring Operation: 18/6=3, Resulting Numbers: [43, 3]
Generated Node #0,0,2: 27:[43, 3] Operation: 18/6=3
Moving to Node #0,0,1
Current State: 27:[6, 25], Operations: ['78-35=43', '43-18=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,27 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[43, 3], Operations: ['78-35=43', '18/6=3']
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,27 unequal: No Solution
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,27 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[43, 24], Operations: ['78-35=43', '18+6=24']
Exploring Operation: 43*24=1032, Resulting Numbers: [1032]
1032,27 unequal: No Solution
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 43+24=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:[6, 35, 60], Operations: ['78-18=60']
Exploring Operation: 60/6=10, Resulting Numbers: [35, 10]
Generated Node #0,1,0: 27:[35, 10] Operation: 60/6=10
Exploring Operation: 60-35=25, Resulting Numbers: [6, 25]
Generated Node #0,1,1: 27:[6, 25] Operation: 60-35=25
Exploring Operation: 35-6=29, Resulting Numbers: [60, 29]
Generated Node #0,1,2: 27:[60, 29] Operation: 35-6=29
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 27:[6, 25], Operations: ['78-18=60', '60-35=25']
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,27 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 27:[35, 10], Operations: ['78-18=60', '60/6=10']
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,27 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,27 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 27:[60, 29], Operations: ['78-18=60', '35-6=29']
Exploring Operation: 60*29=1740, Resulting Numbers: [1740]
1740,27 unequal: No Solution
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,27 unequal: No Solution
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,27 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_3 | sum_heuristic |
[
76,
31,
74,
99
] | 37 | [
"76-74=2",
"31*2=62",
"99-62=37"
] | Current State: 37:[76, 31, 74, 99], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [31, 99, 2]
Generated Node #2: [31, 99, 2] from Operation: 76-74=2
Current State: 37:[31, 99, 2], Operations: ['76-74=2']
Exploring Operation: 31*2=62, Resulting Numbers: [99, 62]
Generated Node #3: [99, 62] from Operation: 31*2=62
Current State: 37:[99, 62], Operations: ['76-74=2', '31*2=62']
Exploring Operation: 99-62=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[76, 31, 74, 99], Operations: []
Exploring Operation: 76-31=45, Resulting Numbers: [74, 99, 45]
Generated Node #0,0: 37:[74, 99, 45] Operation: 76-31=45
Exploring Operation: 76-74=2, Resulting Numbers: [31, 99, 2]
Generated Node #0,1: 37:[31, 99, 2] Operation: 76-74=2
Exploring Operation: 99-74=25, Resulting Numbers: [76, 31, 25]
Generated Node #0,2: 37:[76, 31, 25] Operation: 99-74=25
Exploring Operation: 99-76=23, Resulting Numbers: [31, 74, 23]
Generated Node #0,3: 37:[31, 74, 23] Operation: 99-76=23
Moving to Node #0,2
Current State: 37:[76, 31, 25], Operations: ['99-74=25']
Exploring Operation: 31+25=56, Resulting Numbers: [76, 56]
Generated Node #0,2,0: 37:[76, 56] Operation: 31+25=56
Exploring Operation: 76-31=45, Resulting Numbers: [25, 45]
Generated Node #0,2,1: 37:[25, 45] Operation: 76-31=45
Exploring Operation: 76+25=101, Resulting Numbers: [31, 101]
Generated Node #0,2,2: 37:[31, 101] Operation: 76+25=101
Exploring Operation: 76-25=51, Resulting Numbers: [31, 51]
Generated Node #0,2,3: 37:[31, 51] Operation: 76-25=51
Moving to Node #0,3
Current State: 37:[31, 74, 23], Operations: ['99-76=23']
Exploring Operation: 74-31=43, Resulting Numbers: [23, 43]
Generated Node #0,3,0: 37:[23, 43] Operation: 74-31=43
Exploring Operation: 31-23=8, Resulting Numbers: [74, 8]
Generated Node #0,3,1: 37:[74, 8] Operation: 31-23=8
Exploring Operation: 31+23=54, Resulting Numbers: [74, 54]
Generated Node #0,3,2: 37:[74, 54] Operation: 31+23=54
Exploring Operation: 74-23=51, Resulting Numbers: [31, 51]
Generated Node #0,3,3: 37:[31, 51] Operation: 74-23=51
Moving to Node #0,1
Current State: 37:[31, 99, 2], Operations: ['76-74=2']
Exploring Operation: 99-31=68, Resulting Numbers: [2, 68]
Generated Node #0,1,0: 37:[2, 68] Operation: 99-31=68
Exploring Operation: 99-2=97, Resulting Numbers: [31, 97]
Generated Node #0,1,1: 37:[31, 97] Operation: 99-2=97
Exploring Operation: 31+2=33, Resulting Numbers: [99, 33]
Generated Node #0,1,2: 37:[99, 33] Operation: 31+2=33
Exploring Operation: 31-2=29, Resulting Numbers: [99, 29]
Generated Node #0,1,3: 37:[99, 29] Operation: 31-2=29
Moving to Node #0,0
Current State: 37:[74, 99, 45], Operations: ['76-31=45']
Exploring Operation: 74-45=29, Resulting Numbers: [99, 29]
Generated Node #0,0,0: 37:[99, 29] Operation: 74-45=29
Exploring Operation: 99-45=54, Resulting Numbers: [74, 54]
Generated Node #0,0,1: 37:[74, 54] Operation: 99-45=54
Exploring Operation: 99-74=25, Resulting Numbers: [45, 25]
Generated Node #0,0,2: 37:[45, 25] Operation: 99-74=25
Exploring Operation: 74+99=173, Resulting Numbers: [45, 173]
Generated Node #0,0,3: 37:[45, 173] Operation: 74+99=173
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[45, 25], Operations: ['76-31=45', '99-74=25']
Exploring Operation: 45*25=1125, Resulting Numbers: [1125]
1125,37 unequal: No Solution
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Exploring Operation: 45+25=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 #0,0,1
Current State: 37:[74, 54], Operations: ['76-31=45', '99-45=54']
Exploring Operation: 74+54=128, Resulting Numbers: [128]
128,37 unequal: No Solution
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Exploring Operation: 74*54=3996, Resulting Numbers: [3996]
3996,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[99, 29], Operations: ['76-31=45', '74-45=29']
Exploring Operation: 99+29=128, Resulting Numbers: [128]
128,37 unequal: No Solution
Exploring Operation: 99-29=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 99*29=2871, Resulting Numbers: [2871]
2871,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 37:[45, 173], Operations: ['76-31=45', '74+99=173']
Exploring Operation: 173-45=128, Resulting Numbers: [128]
128,37 unequal: No Solution
Exploring Operation: 45+173=218, Resulting Numbers: [218]
218,37 unequal: No Solution
Exploring Operation: 45*173=7785, Resulting Numbers: [7785]
7785,37 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: 37:[25, 45], Operations: ['99-74=25', '76-31=45']
Exploring Operation: 25*45=1125, Resulting Numbers: [1125]
1125,37 unequal: No Solution
Exploring Operation: 25+45=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Moving to Node #0,3,3
Current State: 37:[31, 51], Operations: ['99-76=23', '74-23=51']
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Exploring Operation: 31*51=1581, Resulting Numbers: [1581]
1581,37 unequal: No Solution
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,37 unequal: No Solution
Moving to Node #0,2,3
Current State: 37:[31, 51], Operations: ['99-74=25', '76-25=51']
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,37 unequal: No Solution
Exploring Operation: 31*51=1581, Resulting Numbers: [1581]
1581,37 unequal: No Solution
Moving to Node #0,3,0
Current State: 37:[23, 43], Operations: ['99-76=23', '74-31=43']
Exploring Operation: 23*43=989, Resulting Numbers: [989]
989,37 unequal: No Solution
Exploring Operation: 23+43=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Moving to Node #0,3,2
Current State: 37:[74, 54], Operations: ['99-76=23', '31+23=54']
Exploring Operation: 74+54=128, Resulting Numbers: [128]
128,37 unequal: No Solution
Exploring Operation: 74*54=3996, Resulting Numbers: [3996]
3996,37 unequal: No Solution
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[76, 56], Operations: ['99-74=25', '31+25=56']
Exploring Operation: 76+56=132, Resulting Numbers: [132]
132,37 unequal: No Solution
Exploring Operation: 76*56=4256, Resulting Numbers: [4256]
4256,37 unequal: No Solution
Exploring Operation: 76-56=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[2, 68], Operations: ['76-74=2', '99-31=68']
Exploring Operation: 2*68=136, Resulting Numbers: [136]
136,37 unequal: No Solution
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,37 unequal: No Solution
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[31, 97], Operations: ['76-74=2', '99-2=97']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Exploring Operation: 31+97=128, Resulting Numbers: [128]
128,37 unequal: No Solution
Exploring Operation: 31*97=3007, Resulting Numbers: [3007]
3007,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[99, 33], Operations: ['76-74=2', '31+2=33']
Exploring Operation: 99+33=132, Resulting Numbers: [132]
132,37 unequal: No Solution
Exploring Operation: 99/33=3, Resulting Numbers: [3]
3,37 unequal: No Solution
Exploring Operation: 99-33=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Exploring Operation: 99*33=3267, Resulting Numbers: [3267]
3267,37 unequal: No Solution
Moving to Node #0,3,1
Current State: 37:[74, 8], Operations: ['99-76=23', '31-23=8']
Exploring Operation: 74*8=592, Resulting Numbers: [592]
592,37 unequal: No Solution
Exploring Operation: 74+8=82, Resulting Numbers: [82]
82,37 unequal: No Solution
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Moving to Node #0,1,3
Current State: 37:[99, 29], Operations: ['76-74=2', '31-2=29']
Exploring Operation: 99-29=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 99*29=2871, Resulting Numbers: [2871]
2871,37 unequal: No Solution
Exploring Operation: 99+29=128, Resulting Numbers: [128]
128,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[31, 101], Operations: ['99-74=25', '76+25=101']
Exploring Operation: 31+101=132, Resulting Numbers: [132]
132,37 unequal: No Solution
Exploring Operation: 31*101=3131, Resulting Numbers: [3131]
3131,37 unequal: No Solution
Exploring Operation: 101-31=70, Resulting Numbers: [70]
70,37 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
26,
45,
41,
32
] | 82 | [
"26*41=1066",
"45-32=13",
"1066/13=82"
] | Current State: 82:[26, 45, 41, 32], Operations: []
Exploring Operation: 26*41=1066, Resulting Numbers: [45, 32, 1066]
Generated Node #2: [45, 32, 1066] from Operation: 26*41=1066
Current State: 82:[45, 32, 1066], Operations: ['26*41=1066']
Exploring Operation: 45-32=13, Resulting Numbers: [1066, 13]
Generated Node #3: [1066, 13] from Operation: 45-32=13
Current State: 82:[1066, 13], Operations: ['26*41=1066', '45-32=13']
Exploring Operation: 1066/13=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[26, 45, 41, 32], Operations: []
Exploring Operation: 45-26=19, Resulting Numbers: [41, 32, 19]
Generated Node #0,0: 82:[41, 32, 19] Operation: 45-26=19
Exploring Operation: 32-26=6, Resulting Numbers: [45, 41, 6]
Generated Node #0,1: 82:[45, 41, 6] Operation: 32-26=6
Exploring Operation: 26+32=58, Resulting Numbers: [45, 41, 58]
Generated Node #0,2: 82:[45, 41, 58] Operation: 26+32=58
Exploring Operation: 26+45=71, Resulting Numbers: [41, 32, 71]
Generated Node #0,3: 82:[41, 32, 71] Operation: 26+45=71
Exploring Operation: 45+32=77, Resulting Numbers: [26, 41, 77]
Generated Node #0,4: 82:[26, 41, 77] Operation: 45+32=77
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[45, 41, 6], Operations: ['32-26=6']
Exploring Operation: 45-41=4, Resulting Numbers: [6, 4]
Generated Node #0,1,0: 82:[6, 4] Operation: 45-41=4
Exploring Operation: 41+6=47, Resulting Numbers: [45, 47]
Generated Node #0,1,1: 82:[45, 47] Operation: 41+6=47
Exploring Operation: 45+6=51, Resulting Numbers: [41, 51]
Generated Node #0,1,2: 82:[41, 51] Operation: 45+6=51
Exploring Operation: 45+41=86, Resulting Numbers: [6, 86]
Generated Node #0,1,3: 82:[6, 86] Operation: 45+41=86
Exploring Operation: 45-6=39, Resulting Numbers: [41, 39]
Generated Node #0,1,4: 82:[41, 39] Operation: 45-6=39
Moving to Node #0,1,4
Current State: 82:[41, 39], Operations: ['32-26=6', '45-6=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,82 unequal: No Solution
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,82 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[6, 4], Operations: ['32-26=6', '45-41=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,82 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[6, 86], Operations: ['32-26=6', '45+41=86']
Exploring Operation: 6+86=92, Resulting Numbers: [92]
92,82 unequal: No Solution
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,82 unequal: No Solution
Exploring Operation: 6*86=516, Resulting Numbers: [516]
516,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[45, 47], Operations: ['32-26=6', '41+6=47']
Exploring Operation: 45*47=2115, Resulting Numbers: [2115]
2115,82 unequal: No Solution
Exploring Operation: 45+47=92, Resulting Numbers: [92]
92,82 unequal: No Solution
Exploring Operation: 47-45=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[41, 51], Operations: ['32-26=6', '45+6=51']
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,82 unequal: No Solution
Exploring Operation: 41*51=2091, Resulting Numbers: [2091]
2091,82 unequal: No Solution
Exploring Operation: 41+51=92, Resulting Numbers: [92]
92,82 unequal: No Solution
No 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: 82:[41, 32, 71], Operations: ['26+45=71']
Exploring Operation: 71-32=39, Resulting Numbers: [41, 39]
Generated Node #0,3,0: 82:[41, 39] Operation: 71-32=39
Exploring Operation: 71-41=30, Resulting Numbers: [32, 30]
Generated Node #0,3,1: 82:[32, 30] Operation: 71-41=30
Exploring Operation: 32+71=103, Resulting Numbers: [41, 103]
Generated Node #0,3,2: 82:[41, 103] Operation: 32+71=103
Exploring Operation: 41+32=73, Resulting Numbers: [71, 73]
Generated Node #0,3,3: 82:[71, 73] Operation: 41+32=73
Exploring Operation: 41-32=9, Resulting Numbers: [71, 9]
Generated Node #0,3,4: 82:[71, 9] Operation: 41-32=9
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 82:[41, 39], Operations: ['26+45=71', '71-32=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,82 unequal: No Solution
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,82 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,82 unequal: No Solution
No 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: 82:[71, 9], Operations: ['26+45=71', '41-32=9']
Exploring Operation: 71*9=639, Resulting Numbers: [639]
639,82 unequal: No Solution
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,82 unequal: No Solution
Exploring Operation: 71+9=80, Resulting Numbers: [80]
80,82 unequal: No Solution
No 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: 82:[32, 30], Operations: ['26+45=71', '71-41=30']
Exploring Operation: 32+30=62, Resulting Numbers: [62]
62,82 unequal: No Solution
Exploring Operation: 32*30=960, Resulting Numbers: [960]
960,82 unequal: No Solution
Exploring Operation: 32-30=2, Resulting Numbers: [2]
2,82 unequal: No Solution
No 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: 82:[71, 73], Operations: ['26+45=71', '41+32=73']
Exploring Operation: 71*73=5183, Resulting Numbers: [5183]
5183,82 unequal: No Solution
Exploring Operation: 71+73=144, Resulting Numbers: [144]
144,82 unequal: No Solution
Exploring Operation: 73-71=2, Resulting Numbers: [2]
2,82 unequal: No Solution
No 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: 82:[41, 103], Operations: ['26+45=71', '32+71=103']
Exploring Operation: 41+103=144, Resulting Numbers: [144]
144,82 unequal: No Solution
Exploring Operation: 41*103=4223, Resulting Numbers: [4223]
4223,82 unequal: No Solution
Exploring Operation: 103-41=62, Resulting Numbers: [62]
62,82 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: 82:[26, 41, 77], Operations: ['45+32=77']
Exploring Operation: 77-26=51, Resulting Numbers: [41, 51]
Generated Node #0,4,0: 82:[41, 51] Operation: 77-26=51
Exploring Operation: 41-26=15, Resulting Numbers: [77, 15]
Generated Node #0,4,1: 82:[77, 15] Operation: 41-26=15
Exploring Operation: 26+41=67, Resulting Numbers: [77, 67]
Generated Node #0,4,2: 82:[77, 67] Operation: 26+41=67
Exploring Operation: 26+77=103, Resulting Numbers: [41, 103]
Generated Node #0,4,3: 82:[41, 103] Operation: 26+77=103
Exploring Operation: 77-41=36, Resulting Numbers: [26, 36]
Generated Node #0,4,4: 82:[26, 36] Operation: 77-41=36
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 82:[41, 51], Operations: ['45+32=77', '77-26=51']
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,82 unequal: No Solution
Exploring Operation: 41+51=92, Resulting Numbers: [92]
92,82 unequal: No Solution
Exploring Operation: 41*51=2091, Resulting Numbers: [2091]
2091,82 unequal: No Solution
No 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: 82:[77, 15], Operations: ['45+32=77', '41-26=15']
Exploring Operation: 77*15=1155, Resulting Numbers: [1155]
1155,82 unequal: No Solution
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,82 unequal: No Solution
Exploring Operation: 77+15=92, Resulting Numbers: [92]
92,82 unequal: No Solution
No 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: 82:[77, 67], Operations: ['45+32=77', '26+41=67']
Exploring Operation: 77+67=144, Resulting Numbers: [144]
144,82 unequal: No Solution
Exploring Operation: 77*67=5159, Resulting Numbers: [5159]
5159,82 unequal: No Solution
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,82 unequal: No Solution
No 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: 82:[26, 36], Operations: ['45+32=77', '77-41=36']
Exploring Operation: 26+36=62, Resulting Numbers: [62]
62,82 unequal: No Solution
Exploring Operation: 26*36=936, Resulting Numbers: [936]
936,82 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,82 unequal: No Solution
No 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: 82:[41, 103], Operations: ['45+32=77', '26+77=103']
Exploring Operation: 41*103=4223, Resulting Numbers: [4223]
4223,82 unequal: No Solution
Exploring Operation: 41+103=144, Resulting Numbers: [144]
144,82 unequal: No Solution
Exploring Operation: 103-41=62, Resulting Numbers: [62]
62,82 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: 82:[45, 41, 58], Operations: ['26+32=58']
Exploring Operation: 58-41=17, Resulting Numbers: [45, 17]
Generated Node #0,2,0: 82:[45, 17] Operation: 58-41=17
Exploring Operation: 45+58=103, Resulting Numbers: [41, 103]
Generated Node #0,2,1: 82:[41, 103] Operation: 45+58=103
Exploring Operation: 58-45=13, Resulting Numbers: [41, 13]
Generated Node #0,2,2: 82:[41, 13] Operation: 58-45=13
Exploring Operation: 45-41=4, Resulting Numbers: [58, 4]
Generated Node #0,2,3: 82:[58, 4] Operation: 45-41=4
Exploring Operation: 45+41=86, Resulting Numbers: [58, 86]
Generated Node #0,2,4: 82:[58, 86] Operation: 45+41=86
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 82:[41, 13], Operations: ['26+32=58', '58-45=13']
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,82 unequal: No Solution
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,82 unequal: No Solution
No 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: 82:[45, 17], Operations: ['26+32=58', '58-41=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,82 unequal: No Solution
Exploring Operation: 45*17=765, Resulting Numbers: [765]
765,82 unequal: No Solution
No 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: 82:[58, 4], Operations: ['26+32=58', '45-41=4']
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,82 unequal: No Solution
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,82 unequal: No Solution
Exploring Operation: 58*4=232, Resulting Numbers: [232]
232,82 unequal: No Solution
No 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: 82:[41, 103], Operations: ['26+32=58', '45+58=103']
Exploring Operation: 41*103=4223, Resulting Numbers: [4223]
4223,82 unequal: No Solution
Exploring Operation: 41+103=144, Resulting Numbers: [144]
144,82 unequal: No Solution
Exploring Operation: 103-41=62, Resulting Numbers: [62]
62,82 unequal: No Solution
No 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: 82:[58, 86], Operations: ['26+32=58', '45+41=86']
Exploring Operation: 58*86=4988, Resulting Numbers: [4988]
4988,82 unequal: No Solution
Exploring Operation: 86-58=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 58+86=144, Resulting Numbers: [144]
144,82 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: 82:[41, 32, 19], Operations: ['45-26=19']
Exploring Operation: 41-32=9, Resulting Numbers: [19, 9]
Generated Node #0,0,0: 82:[19, 9] Operation: 41-32=9
Exploring Operation: 32+19=51, Resulting Numbers: [41, 51]
Generated Node #0,0,1: 82:[41, 51] Operation: 32+19=51
Exploring Operation: 41+32=73, Resulting Numbers: [19, 73]
Generated Node #0,0,2: 82:[19, 73] Operation: 41+32=73
Exploring Operation: 41+19=60, Resulting Numbers: [32, 60]
Generated Node #0,0,3: 82:[32, 60] Operation: 41+19=60
Exploring Operation: 32-19=13, Resulting Numbers: [41, 13]
Generated Node #0,0,4: 82:[41, 13] Operation: 32-19=13
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[41, 51], Operations: ['45-26=19', '32+19=51']
Exploring Operation: 41+51=92, Resulting Numbers: [92]
92,82 unequal: No Solution
Exploring Operation: 41*51=2091, Resulting Numbers: [2091]
2091,82 unequal: No Solution
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,82 unequal: No Solution
No 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: 82:[41, 13], Operations: ['45-26=19', '32-19=13']
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,82 unequal: No Solution
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,82 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,82 unequal: No Solution
No 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: 82:[19, 9], Operations: ['45-26=19', '41-32=9']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,82 unequal: No Solution
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,82 unequal: No Solution
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,82 unequal: No Solution
No 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: 82:[19, 73], Operations: ['45-26=19', '41+32=73']
Exploring Operation: 19+73=92, Resulting Numbers: [92]
92,82 unequal: No Solution
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,82 unequal: No Solution
Exploring Operation: 19*73=1387, Resulting Numbers: [1387]
1387,82 unequal: No Solution
No 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: 82:[32, 60], Operations: ['45-26=19', '41+19=60']
Exploring Operation: 32*60=1920, Resulting Numbers: [1920]
1920,82 unequal: No Solution
Exploring Operation: 60-32=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 32+60=92, Resulting Numbers: [92]
92,82 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 |
[
46,
2,
82,
67
] | 77 | [
"46*2=92",
"82-67=15",
"92-15=77"
] | Current State: 77:[46, 2, 82, 67], Operations: []
Exploring Operation: 46*2=92, Resulting Numbers: [82, 67, 92]
Generated Node #2: [82, 67, 92] from Operation: 46*2=92
Current State: 77:[82, 67, 92], Operations: ['46*2=92']
Exploring Operation: 82-67=15, Resulting Numbers: [92, 15]
Generated Node #3: [92, 15] from Operation: 82-67=15
Current State: 77:[92, 15], Operations: ['46*2=92', '82-67=15']
Exploring Operation: 92-15=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[46, 2, 82, 67], Operations: []
Exploring Operation: 67-46=21, Resulting Numbers: [2, 82, 21]
Generated Node #0,0: 77:[2, 82, 21] Operation: 67-46=21
Exploring Operation: 46*2=92, Resulting Numbers: [82, 67, 92]
Generated Node #0,1: 77:[82, 67, 92] Operation: 46*2=92
Exploring Operation: 46/2=23, Resulting Numbers: [82, 67, 23]
Generated Node #0,2: 77:[82, 67, 23] Operation: 46/2=23
Exploring Operation: 82-46=36, Resulting Numbers: [2, 67, 36]
Generated Node #0,3: 77:[2, 67, 36] Operation: 82-46=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[2, 82, 21], Operations: ['67-46=21']
Exploring Operation: 2+21=23, Resulting Numbers: [82, 23]
Generated Node #0,0,0: 77:[82, 23] Operation: 2+21=23
Exploring Operation: 82-2=80, Resulting Numbers: [21, 80]
Generated Node #0,0,1: 77:[21, 80] Operation: 82-2=80
Exploring Operation: 2+82=84, Resulting Numbers: [21, 84]
Generated Node #0,0,2: 77:[21, 84] Operation: 2+82=84
Exploring Operation: 21-2=19, Resulting Numbers: [82, 19]
Generated Node #0,0,3: 77:[82, 19] Operation: 21-2=19
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 77:[21, 80], Operations: ['67-46=21', '82-2=80']
Exploring Operation: 21*80=1680, Resulting Numbers: [1680]
1680,77 unequal: No Solution
Exploring Operation: 21+80=101, Resulting Numbers: [101]
101,77 unequal: No Solution
Exploring Operation: 80-21=59, Resulting Numbers: [59]
59,77 unequal: No Solution
No 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: 77:[82, 19], Operations: ['67-46=21', '21-2=19']
Exploring Operation: 82+19=101, Resulting Numbers: [101]
101,77 unequal: No Solution
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,77 unequal: No Solution
Exploring Operation: 82*19=1558, Resulting Numbers: [1558]
1558,77 unequal: No Solution
No 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: 77:[82, 23], Operations: ['67-46=21', '2+21=23']
Exploring Operation: 82*23=1886, Resulting Numbers: [1886]
1886,77 unequal: No Solution
Exploring Operation: 82-23=59, Resulting Numbers: [59]
59,77 unequal: No Solution
Exploring Operation: 82+23=105, Resulting Numbers: [105]
105,77 unequal: No Solution
No 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: 77:[21, 84], Operations: ['67-46=21', '2+82=84']
Exploring Operation: 21*84=1764, Resulting Numbers: [1764]
1764,77 unequal: No Solution
Exploring Operation: 21+84=105, Resulting Numbers: [105]
105,77 unequal: No Solution
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,77 unequal: No Solution
Exploring Operation: 84/21=4, Resulting Numbers: [4]
4,77 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: 77:[82, 67, 23], Operations: ['46/2=23']
Exploring Operation: 67+23=90, Resulting Numbers: [82, 90]
Generated Node #0,2,0: 77:[82, 90] Operation: 67+23=90
Exploring Operation: 82-23=59, Resulting Numbers: [67, 59]
Generated Node #0,2,1: 77:[67, 59] Operation: 82-23=59
Exploring Operation: 82-67=15, Resulting Numbers: [23, 15]
Generated Node #0,2,2: 77:[23, 15] Operation: 82-67=15
Exploring Operation: 82+23=105, Resulting Numbers: [67, 105]
Generated Node #0,2,3: 77:[67, 105] Operation: 82+23=105
Moving to Node #0,2,2
Current State: 77:[23, 15], Operations: ['46/2=23', '82-67=15']
Exploring Operation: 23*15=345, Resulting Numbers: [345]
345,77 unequal: No Solution
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[82, 90], Operations: ['46/2=23', '67+23=90']
Exploring Operation: 90-82=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 82*90=7380, Resulting Numbers: [7380]
7380,77 unequal: No Solution
Exploring Operation: 82+90=172, Resulting Numbers: [172]
172,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[67, 59], Operations: ['46/2=23', '82-23=59']
Exploring Operation: 67+59=126, Resulting Numbers: [126]
126,77 unequal: No Solution
Exploring Operation: 67-59=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 67*59=3953, Resulting Numbers: [3953]
3953,77 unequal: No Solution
Moving to Node #0,2,3
Current State: 77:[67, 105], Operations: ['46/2=23', '82+23=105']
Exploring Operation: 105-67=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 67+105=172, Resulting Numbers: [172]
172,77 unequal: No Solution
Exploring Operation: 67*105=7035, Resulting Numbers: [7035]
7035,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[82, 67, 92], Operations: ['46*2=92']
Exploring Operation: 92-67=25, Resulting Numbers: [82, 25]
Generated Node #0,1,0: 77:[82, 25] Operation: 92-67=25
Exploring Operation: 82+67=149, Resulting Numbers: [92, 149]
Generated Node #0,1,1: 77:[92, 149] Operation: 82+67=149
Exploring Operation: 82-67=15, Resulting Numbers: [92, 15]
Generated Node #0,1,2: 77:[92, 15] Operation: 82-67=15
Exploring Operation: 92-82=10, Resulting Numbers: [67, 10]
Generated Node #0,1,3: 77:[67, 10] Operation: 92-82=10
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 77:[67, 10], Operations: ['46*2=92', '92-82=10']
Exploring Operation: 67*10=670, Resulting Numbers: [670]
670,77 unequal: No Solution
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,77 unequal: No Solution
Exploring Operation: 67+10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[46, 2, 82, 67], Operations: []
Exploring Operation: 46*2=92, Resulting Numbers: [82, 67, 92]
Generated Node #0,1: 77:[82, 67, 92] Operation: 46*2=92
Moving to Node #0,1
Current State: 77:[82, 67, 92], Operations: ['46*2=92']
Exploring Operation: 92-82=10, Resulting Numbers: [67, 10]
Generated Node #0,1,3: 77:[67, 10] Operation: 92-82=10
Moving to Node #0,1,3
Current State: 77:[67, 10], Operations: ['46*2=92', '92-82=10']
Exploring Operation: 67+10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.958333 | hs_4 | mult_heuristic |
[
25,
8,
26,
93
] | 34 | [
"25+8=33",
"93-26=67",
"67-33=34"
] | Current State: 34:[25, 8, 26, 93], Operations: []
Exploring Operation: 25+8=33, Resulting Numbers: [26, 93, 33]
Generated Node #2: [26, 93, 33] from Operation: 25+8=33
Current State: 34:[26, 93, 33], Operations: ['25+8=33']
Exploring Operation: 93-26=67, Resulting Numbers: [33, 67]
Generated Node #3: [33, 67] from Operation: 93-26=67
Current State: 34:[33, 67], Operations: ['25+8=33', '93-26=67']
Exploring Operation: 67-33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[25, 8, 26, 93], Operations: []
Exploring Operation: 93-26=67, Resulting Numbers: [25, 8, 67]
Generated Node #0,0: 34:[25, 8, 67] Operation: 93-26=67
Moving to Node #0,0
Current State: 34:[25, 8, 67], Operations: ['93-26=67']
Exploring Operation: 67-25=42, Resulting Numbers: [8, 42]
Generated Node #0,0,0: 34:[8, 42] Operation: 67-25=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[8, 42], Operations: ['93-26=67', '67-25=42']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[25, 8, 26, 93], Operations: []
Exploring Operation: 93-26=67, Resulting Numbers: [25, 8, 67]
Generated Node #0,0: 34:[25, 8, 67] Operation: 93-26=67
Moving to Node #0,0
Current State: 34:[25, 8, 67], Operations: ['93-26=67']
Exploring Operation: 67-25=42, Resulting Numbers: [8, 42]
Generated Node #0,0,0: 34:[8, 42] Operation: 67-25=42
Moving to Node #0,0,0
Current State: 34:[8, 42], Operations: ['93-26=67', '67-25=42']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
15,
82,
94,
13
] | 35 | [
"15-13=2",
"94/2=47",
"82-47=35"
] | Current State: 35:[15, 82, 94, 13], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [82, 94, 2]
Generated Node #2: [82, 94, 2] from Operation: 15-13=2
Current State: 35:[82, 94, 2], Operations: ['15-13=2']
Exploring Operation: 94/2=47, Resulting Numbers: [82, 47]
Generated Node #3: [82, 47] from Operation: 94/2=47
Current State: 35:[82, 47], Operations: ['15-13=2', '94/2=47']
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[15, 82, 94, 13], Operations: []
Exploring Operation: 94-82=12, Resulting Numbers: [15, 13, 12]
Generated Node #0,0: 35:[15, 13, 12] Operation: 94-82=12
Moving to Node #0,0
Current State: 35:[15, 13, 12], Operations: ['94-82=12']
Exploring Operation: 15-13=2, Resulting Numbers: [12, 2]
Generated Node #0,0,0: 35:[12, 2] Operation: 15-13=2
Moving to Node #0,0,0
Current State: 35:[12, 2], Operations: ['94-82=12', '15-13=2']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
72,
86,
80,
98
] | 23 | [
"80-72=8",
"86+98=184",
"184/8=23"
] | Current State: 23:[72, 86, 80, 98], Operations: []
Exploring Operation: 80-72=8, Resulting Numbers: [86, 98, 8]
Generated Node #2: [86, 98, 8] from Operation: 80-72=8
Current State: 23:[86, 98, 8], Operations: ['80-72=8']
Exploring Operation: 86+98=184, Resulting Numbers: [8, 184]
Generated Node #3: [8, 184] from Operation: 86+98=184
Current State: 23:[8, 184], Operations: ['80-72=8', '86+98=184']
Exploring Operation: 184/8=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[72, 86, 80, 98], Operations: []
Exploring Operation: 98-80=18, Resulting Numbers: [72, 86, 18]
Generated Node #0,0: 23:[72, 86, 18] Operation: 98-80=18
Exploring Operation: 86-72=14, Resulting Numbers: [80, 98, 14]
Generated Node #0,1: 23:[80, 98, 14] Operation: 86-72=14
Exploring Operation: 98-86=12, Resulting Numbers: [72, 80, 12]
Generated Node #0,2: 23:[72, 80, 12] Operation: 98-86=12
Exploring Operation: 98-72=26, Resulting Numbers: [86, 80, 26]
Generated Node #0,3: 23:[86, 80, 26] Operation: 98-72=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[72, 86, 18], Operations: ['98-80=18']
Exploring Operation: 72-18=54, Resulting Numbers: [86, 54]
Generated Node #0,0,0: 23:[86, 54] Operation: 72-18=54
Exploring Operation: 86-18=68, Resulting Numbers: [72, 68]
Generated Node #0,0,1: 23:[72, 68] Operation: 86-18=68
Exploring Operation: 72/18=4, Resulting Numbers: [86, 4]
Generated Node #0,0,2: 23:[86, 4] Operation: 72/18=4
Exploring Operation: 86-72=14, Resulting Numbers: [18, 14]
Generated Node #0,0,3: 23:[18, 14] Operation: 86-72=14
Moving to Node #0,0,3
Current State: 23:[18, 14], Operations: ['98-80=18', '86-72=14']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[86, 4], Operations: ['98-80=18', '72/18=4']
Exploring Operation: 86*4=344, Resulting Numbers: [344]
344,23 unequal: No Solution
Exploring Operation: 86+4=90, Resulting Numbers: [90]
90,23 unequal: No Solution
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[72, 68], Operations: ['98-80=18', '86-18=68']
Exploring Operation: 72+68=140, Resulting Numbers: [140]
140,23 unequal: No Solution
Exploring Operation: 72-68=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 72*68=4896, Resulting Numbers: [4896]
4896,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[86, 54], Operations: ['98-80=18', '72-18=54']
Exploring Operation: 86*54=4644, Resulting Numbers: [4644]
4644,23 unequal: No Solution
Exploring Operation: 86-54=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 86+54=140, Resulting Numbers: [140]
140,23 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
Current State: 23:[72, 80, 12], Operations: ['98-86=12']
Exploring Operation: 72-12=60, Resulting Numbers: [80, 60]
Generated Node #0,2,0: 23:[80, 60] Operation: 72-12=60
Exploring Operation: 72/12=6, Resulting Numbers: [80, 6]
Generated Node #0,2,1: 23:[80, 6] Operation: 72/12=6
Exploring Operation: 80-72=8, Resulting Numbers: [12, 8]
Generated Node #0,2,2: 23:[12, 8] Operation: 80-72=8
Exploring Operation: 80-12=68, Resulting Numbers: [72, 68]
Generated Node #0,2,3: 23:[72, 68] Operation: 80-12=68
Moving to Node #0,2,2
Current State: 23:[12, 8], Operations: ['98-86=12', '80-72=8']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[80, 6], Operations: ['98-86=12', '72/12=6']
Exploring Operation: 80*6=480, Resulting Numbers: [480]
480,23 unequal: No Solution
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,23 unequal: No Solution
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,23 unequal: No Solution
Moving to Node #0,2,3
Current State: 23:[72, 68], Operations: ['98-86=12', '80-12=68']
Exploring Operation: 72+68=140, Resulting Numbers: [140]
140,23 unequal: No Solution
Exploring Operation: 72*68=4896, Resulting Numbers: [4896]
4896,23 unequal: No Solution
Exploring Operation: 72-68=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[80, 60], Operations: ['98-86=12', '72-12=60']
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 80+60=140, Resulting Numbers: [140]
140,23 unequal: No Solution
Exploring Operation: 80*60=4800, Resulting Numbers: [4800]
4800,23 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 #0,3
Current State: 23:[86, 80, 26], Operations: ['98-72=26']
Exploring Operation: 86-26=60, Resulting Numbers: [80, 60]
Generated Node #0,3,0: 23:[80, 60] Operation: 86-26=60
Exploring Operation: 80-26=54, Resulting Numbers: [86, 54]
Generated Node #0,3,1: 23:[86, 54] Operation: 80-26=54
Exploring Operation: 86-80=6, Resulting Numbers: [26, 6]
Generated Node #0,3,2: 23:[26, 6] Operation: 86-80=6
Exploring Operation: 86+80=166, Resulting Numbers: [26, 166]
Generated Node #0,3,3: 23:[26, 166] Operation: 86+80=166
Moving to Node #0,3,2
Current State: 23:[26, 6], Operations: ['98-72=26', '86-80=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,23 unequal: No Solution
Moving to Node #0,3,1
Current State: 23:[86, 54], Operations: ['98-72=26', '80-26=54']
Exploring Operation: 86*54=4644, Resulting Numbers: [4644]
4644,23 unequal: No Solution
Exploring Operation: 86+54=140, Resulting Numbers: [140]
140,23 unequal: No Solution
Exploring Operation: 86-54=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Moving to Node #0,3,0
Current State: 23:[80, 60], Operations: ['98-72=26', '86-26=60']
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 80*60=4800, Resulting Numbers: [4800]
4800,23 unequal: No Solution
Exploring Operation: 80+60=140, Resulting Numbers: [140]
140,23 unequal: No Solution
Moving to Node #0,3,3
Current State: 23:[26, 166], Operations: ['98-72=26', '86+80=166']
Exploring Operation: 26*166=4316, Resulting Numbers: [4316]
4316,23 unequal: No Solution
Exploring Operation: 166-26=140, Resulting Numbers: [140]
140,23 unequal: No Solution
Exploring Operation: 26+166=192, Resulting Numbers: [192]
192,23 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 #0,1
Current State: 23:[80, 98, 14], Operations: ['86-72=14']
Exploring Operation: 98-80=18, Resulting Numbers: [14, 18]
Generated Node #0,1,0: 23:[14, 18] Operation: 98-80=18
Exploring Operation: 98/14=7, Resulting Numbers: [80, 7]
Generated Node #0,1,1: 23:[80, 7] Operation: 98/14=7
Exploring Operation: 98-14=84, Resulting Numbers: [80, 84]
Generated Node #0,1,2: 23:[80, 84] Operation: 98-14=84
Exploring Operation: 80-14=66, Resulting Numbers: [98, 66]
Generated Node #0,1,3: 23:[98, 66] Operation: 80-14=66
Moving to Node #0,1,0
Current State: 23:[14, 18], Operations: ['86-72=14', '98-80=18']
Exploring Operation: 14+18=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 14*18=252, Resulting Numbers: [252]
252,23 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[80, 7], Operations: ['86-72=14', '98/14=7']
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,23 unequal: No Solution
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,23 unequal: No Solution
Exploring Operation: 80*7=560, Resulting Numbers: [560]
560,23 unequal: No Solution
Moving to Node #0,1,3
Current State: 23:[98, 66], Operations: ['86-72=14', '80-14=66']
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 98*66=6468, Resulting Numbers: [6468]
6468,23 unequal: No Solution
Exploring Operation: 98+66=164, Resulting Numbers: [164]
164,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[80, 84], Operations: ['86-72=14', '98-14=84']
Exploring Operation: 80+84=164, Resulting Numbers: [164]
164,23 unequal: No Solution
Exploring Operation: 80*84=6720, Resulting Numbers: [6720]
6720,23 unequal: No Solution
Exploring Operation: 84-80=4, Resulting Numbers: [4]
4,23 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 |
[
79,
3,
34,
75
] | 52 | [
"79+75=154",
"3*34=102",
"154-102=52"
] | Current State: 52:[79, 3, 34, 75], Operations: []
Exploring Operation: 79+75=154, Resulting Numbers: [3, 34, 154]
Generated Node #2: [3, 34, 154] from Operation: 79+75=154
Current State: 52:[3, 34, 154], Operations: ['79+75=154']
Exploring Operation: 3*34=102, Resulting Numbers: [154, 102]
Generated Node #3: [154, 102] from Operation: 3*34=102
Current State: 52:[154, 102], Operations: ['79+75=154', '3*34=102']
Exploring Operation: 154-102=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[79, 3, 34, 75], Operations: []
Exploring Operation: 79-34=45, Resulting Numbers: [3, 75, 45]
Generated Node #0,0: 52:[3, 75, 45] Operation: 79-34=45
Exploring Operation: 79-75=4, Resulting Numbers: [3, 34, 4]
Generated Node #0,1: 52:[3, 34, 4] Operation: 79-75=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[3, 34, 4], Operations: ['79-75=4']
Exploring Operation: 34-4=30, Resulting Numbers: [3, 30]
Generated Node #0,1,0: 52:[3, 30] Operation: 34-4=30
Exploring Operation: 34-3=31, Resulting Numbers: [4, 31]
Generated Node #0,1,1: 52:[4, 31] Operation: 34-3=31
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[3, 30], Operations: ['79-75=4', '34-4=30']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,52 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,52 unequal: No Solution
No 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: 52:[4, 31], Operations: ['79-75=4', '34-3=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,52 unequal: No Solution
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,52 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: 52:[3, 75, 45], Operations: ['79-34=45']
Exploring Operation: 75-45=30, Resulting Numbers: [3, 30]
Generated Node #0,0,0: 52:[3, 30] Operation: 75-45=30
Exploring Operation: 75/3=25, Resulting Numbers: [45, 25]
Generated Node #0,0,1: 52:[45, 25] Operation: 75/3=25
Moving to Node #0,0,0
Current State: 52:[3, 30], Operations: ['79-34=45', '75-45=30']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,52 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[45, 25], Operations: ['79-34=45', '75/3=25']
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,52 unequal: No Solution
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
92,
12,
6,
60
] | 70 | [
"92-12=80",
"60/6=10",
"80-10=70"
] | Current State: 70:[92, 12, 6, 60], Operations: []
Exploring Operation: 92-12=80, Resulting Numbers: [6, 60, 80]
Generated Node #2: [6, 60, 80] from Operation: 92-12=80
Current State: 70:[6, 60, 80], Operations: ['92-12=80']
Exploring Operation: 60/6=10, Resulting Numbers: [80, 10]
Generated Node #3: [80, 10] from Operation: 60/6=10
Current State: 70:[80, 10], Operations: ['92-12=80', '60/6=10']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[92, 12, 6, 60], Operations: []
Exploring Operation: 92-60=32, Resulting Numbers: [12, 6, 32]
Generated Node #0,0: 70:[12, 6, 32] Operation: 92-60=32
Exploring Operation: 92-12=80, Resulting Numbers: [6, 60, 80]
Generated Node #0,1: 70:[6, 60, 80] Operation: 92-12=80
Moving to Node #0,0
Current State: 70:[12, 6, 32], Operations: ['92-60=32']
Exploring Operation: 12/6=2, Resulting Numbers: [32, 2]
Generated Node #0,0,0: 70:[32, 2] Operation: 12/6=2
Exploring Operation: 12-6=6, Resulting Numbers: [32, 6]
Generated Node #0,0,1: 70:[32, 6] Operation: 12-6=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[32, 2], Operations: ['92-60=32', '12/6=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[32, 6], Operations: ['92-60=32', '12-6=6']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,70 unequal: No Solution
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 70:[6, 60, 80], Operations: ['92-12=80']
Exploring Operation: 60/6=10, Resulting Numbers: [80, 10]
Generated Node #0,1,0: 70:[80, 10] Operation: 60/6=10
Exploring Operation: 80-60=20, Resulting Numbers: [6, 20]
Generated Node #0,1,1: 70:[6, 20] Operation: 80-60=20
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 70:[6, 20], Operations: ['92-12=80', '80-60=20']
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,70 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 70:[80, 10], Operations: ['92-12=80', '60/6=10']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[92, 12, 6, 60], Operations: []
Exploring Operation: 92-12=80, Resulting Numbers: [6, 60, 80]
Generated Node #0,1: 70:[6, 60, 80] Operation: 92-12=80
Moving to Node #0,1
Current State: 70:[6, 60, 80], Operations: ['92-12=80']
Exploring Operation: 60/6=10, Resulting Numbers: [80, 10]
Generated Node #0,1,0: 70:[80, 10] Operation: 60/6=10
Moving to Node #0,1,0
Current State: 70:[80, 10], Operations: ['92-12=80', '60/6=10']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_2 | sum_heuristic |
[
68,
34,
15,
15
] | 28 | [
"68/34=2",
"15+15=30",
"30-2=28"
] | Current State: 28:[68, 34, 15, 15], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [15, 15, 2]
Generated Node #2: [15, 15, 2] from Operation: 68/34=2
Current State: 28:[15, 15, 2], Operations: ['68/34=2']
Exploring Operation: 15+15=30, Resulting Numbers: [2, 30]
Generated Node #3: [2, 30] from Operation: 15+15=30
Current State: 28:[2, 30], Operations: ['68/34=2', '15+15=30']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[68, 34, 15, 15], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [15, 15, 2]
Generated Node #0,0: 28:[15, 15, 2] Operation: 68/34=2
Moving to Node #0,0
Current State: 28:[15, 15, 2], Operations: ['68/34=2']
Exploring Operation: 15/15=1, Resulting Numbers: [2, 1]
Generated Node #0,0,0: 28:[2, 1] Operation: 15/15=1
Moving to Node #0,0,0
Current State: 28:[2, 1], Operations: ['68/34=2', '15/15=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,28 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
77,
55,
81,
44
] | 63 | [
"77*81=6237",
"55+44=99",
"6237/99=63"
] | Current State: 63:[77, 55, 81, 44], Operations: []
Exploring Operation: 77*81=6237, Resulting Numbers: [55, 44, 6237]
Generated Node #2: [55, 44, 6237] from Operation: 77*81=6237
Current State: 63:[55, 44, 6237], Operations: ['77*81=6237']
Exploring Operation: 55+44=99, Resulting Numbers: [6237, 99]
Generated Node #3: [6237, 99] from Operation: 55+44=99
Current State: 63:[6237, 99], Operations: ['77*81=6237', '55+44=99']
Exploring Operation: 6237/99=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[77, 55, 81, 44], Operations: []
Exploring Operation: 81-77=4, Resulting Numbers: [55, 44, 4]
Generated Node #0,0: 63:[55, 44, 4] Operation: 81-77=4
Exploring Operation: 77-55=22, Resulting Numbers: [81, 44, 22]
Generated Node #0,1: 63:[81, 44, 22] Operation: 77-55=22
Exploring Operation: 55-44=11, Resulting Numbers: [77, 81, 11]
Generated Node #0,2: 63:[77, 81, 11] Operation: 55-44=11
Moving to Node #0,0
Current State: 63:[55, 44, 4], Operations: ['81-77=4']
Exploring Operation: 44/4=11, Resulting Numbers: [55, 11]
Generated Node #0,0,0: 63:[55, 11] Operation: 44/4=11
Exploring Operation: 55+4=59, Resulting Numbers: [44, 59]
Generated Node #0,0,1: 63:[44, 59] Operation: 55+4=59
Exploring Operation: 55-44=11, Resulting Numbers: [4, 11]
Generated Node #0,0,2: 63:[4, 11] Operation: 55-44=11
Moving to Node #0,2
Current State: 63:[77, 81, 11], Operations: ['55-44=11']
Exploring Operation: 81-77=4, Resulting Numbers: [11, 4]
Generated Node #0,2,0: 63:[11, 4] Operation: 81-77=4
Exploring Operation: 77-11=66, Resulting Numbers: [81, 66]
Generated Node #0,2,1: 63:[81, 66] Operation: 77-11=66
Exploring Operation: 77/11=7, Resulting Numbers: [81, 7]
Generated Node #0,2,2: 63:[81, 7] Operation: 77/11=7
Moving to Node #0,1
Current State: 63:[81, 44, 22], Operations: ['77-55=22']
Exploring Operation: 81-44=37, Resulting Numbers: [22, 37]
Generated Node #0,1,0: 63:[22, 37] Operation: 81-44=37
Exploring Operation: 44-22=22, Resulting Numbers: [81, 22]
Generated Node #0,1,1: 63:[81, 22] Operation: 44-22=22
Exploring Operation: 44/22=2, Resulting Numbers: [81, 2]
Generated Node #0,1,2: 63:[81, 2] Operation: 44/22=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[22, 37], Operations: ['77-55=22', '81-44=37']
Exploring Operation: 22+37=59, Resulting Numbers: [59]
59,63 unequal: No Solution
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 22*37=814, Resulting Numbers: [814]
814,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[81, 22], Operations: ['77-55=22', '44-22=22']
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,63 unequal: No Solution
Exploring Operation: 81+22=103, Resulting Numbers: [103]
103,63 unequal: No Solution
Exploring Operation: 81*22=1782, Resulting Numbers: [1782]
1782,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 63:[81, 2], Operations: ['77-55=22', '44/22=2']
Exploring Operation: 81*2=162, Resulting Numbers: [162]
162,63 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,63 unequal: No Solution
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 63:[4, 11], Operations: ['81-77=4', '55-44=11']
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[11, 4], Operations: ['55-44=11', '81-77=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[55, 11], Operations: ['81-77=4', '44/4=11']
Exploring Operation: 55+11=66, Resulting Numbers: [66]
66,63 unequal: No Solution
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[81, 7], Operations: ['55-44=11', '77/11=7']
Exploring Operation: 81+7=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Exploring Operation: 81*7=567, Resulting Numbers: [567]
567,63 unequal: No Solution
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,63 unequal: No Solution
Moving to Node #0,2,1
Current State: 63:[81, 66], Operations: ['55-44=11', '77-11=66']
Exploring Operation: 81+66=147, Resulting Numbers: [147]
147,63 unequal: No Solution
Exploring Operation: 81-66=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 81*66=5346, Resulting Numbers: [5346]
5346,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[44, 59], Operations: ['81-77=4', '55+4=59']
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 44+59=103, Resulting Numbers: [103]
103,63 unequal: No Solution
Exploring Operation: 44*59=2596, Resulting Numbers: [2596]
2596,63 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
62,
6,
8,
51
] | 58 | [
"62-6=56",
"56/8=7",
"51+7=58"
] | Current State: 58:[62, 6, 8, 51], Operations: []
Exploring Operation: 62-6=56, Resulting Numbers: [8, 51, 56]
Generated Node #2: [8, 51, 56] from Operation: 62-6=56
Current State: 58:[8, 51, 56], Operations: ['62-6=56']
Exploring Operation: 56/8=7, Resulting Numbers: [51, 7]
Generated Node #3: [51, 7] from Operation: 56/8=7
Current State: 58:[51, 7], Operations: ['62-6=56', '56/8=7']
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[62, 6, 8, 51], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [62, 51, 2]
Generated Node #0,0: 58:[62, 51, 2] Operation: 8-6=2
Exploring Operation: 8+51=59, Resulting Numbers: [62, 6, 59]
Generated Node #0,1: 58:[62, 6, 59] Operation: 8+51=59
Moving to Node #0,1
Current State: 58:[62, 6, 59], Operations: ['8+51=59']
Exploring Operation: 62-59=3, Resulting Numbers: [6, 3]
Generated Node #0,1,0: 58:[6, 3] Operation: 62-59=3
Exploring Operation: 62-6=56, Resulting Numbers: [59, 56]
Generated Node #0,1,1: 58:[59, 56] Operation: 62-6=56
Moving to Node #0,0
Current State: 58:[62, 51, 2], Operations: ['8-6=2']
Exploring Operation: 62-2=60, Resulting Numbers: [51, 60]
Generated Node #0,0,0: 58:[51, 60] Operation: 62-2=60
Exploring Operation: 62-51=11, Resulting Numbers: [2, 11]
Generated Node #0,0,1: 58:[2, 11] Operation: 62-51=11
Moving to Node #0,1,1
Current State: 58:[59, 56], Operations: ['8+51=59', '62-6=56']
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,58 unequal: No Solution
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[6, 3], Operations: ['8+51=59', '62-59=3']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[2, 11], Operations: ['8-6=2', '62-51=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,58 unequal: No Solution
Moving to Node #0,0,0
Current State: 58:[51, 60], Operations: ['8-6=2', '62-2=60']
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,58 unequal: No Solution
Exploring Operation: 51+60=111, Resulting Numbers: [111]
111,58 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
92,
11,
45,
16
] | 42 | [
"92+11=103",
"45+16=61",
"103-61=42"
] | Current State: 42:[92, 11, 45, 16], Operations: []
Exploring Operation: 92+11=103, Resulting Numbers: [45, 16, 103]
Generated Node #2: [45, 16, 103] from Operation: 92+11=103
Current State: 42:[45, 16, 103], Operations: ['92+11=103']
Exploring Operation: 45+16=61, Resulting Numbers: [103, 61]
Generated Node #3: [103, 61] from Operation: 45+16=61
Current State: 42:[103, 61], Operations: ['92+11=103', '45+16=61']
Exploring Operation: 103-61=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[92, 11, 45, 16], Operations: []
Exploring Operation: 92-45=47, Resulting Numbers: [11, 16, 47]
Generated Node #0,0: 42:[11, 16, 47] Operation: 92-45=47
Exploring Operation: 92-16=76, Resulting Numbers: [11, 45, 76]
Generated Node #0,1: 42:[11, 45, 76] Operation: 92-16=76
Exploring Operation: 92-11=81, Resulting Numbers: [45, 16, 81]
Generated Node #0,2: 42:[45, 16, 81] Operation: 92-11=81
Exploring Operation: 11+16=27, Resulting Numbers: [92, 45, 27]
Generated Node #0,3: 42:[92, 45, 27] Operation: 11+16=27
Exploring Operation: 16-11=5, Resulting Numbers: [92, 45, 5]
Generated Node #0,4: 42:[92, 45, 5] Operation: 16-11=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[11, 16, 47], Operations: ['92-45=47']
Exploring Operation: 11+16=27, Resulting Numbers: [47, 27]
Generated Node #0,0,0: 42:[47, 27] Operation: 11+16=27
Exploring Operation: 47-11=36, Resulting Numbers: [16, 36]
Generated Node #0,0,1: 42:[16, 36] Operation: 47-11=36
Exploring Operation: 16-11=5, Resulting Numbers: [47, 5]
Generated Node #0,0,2: 42:[47, 5] Operation: 16-11=5
Exploring Operation: 47-16=31, Resulting Numbers: [11, 31]
Generated Node #0,0,3: 42:[11, 31] Operation: 47-16=31
Exploring Operation: 11+47=58, Resulting Numbers: [16, 58]
Generated Node #0,0,4: 42:[16, 58] Operation: 11+47=58
Moving to Node #0,0,2
Current State: 42:[47, 5], Operations: ['92-45=47', '16-11=5']
Exploring Operation: 47*5=235, Resulting Numbers: [235]
235,42 unequal: No Solution
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,42 unequal: No Solution
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[92, 11, 45, 16], Operations: []
Exploring Operation: 92-45=47, Resulting Numbers: [11, 16, 47]
Generated Node #0,0: 42:[11, 16, 47] Operation: 92-45=47
Moving to Node #0,0
Current State: 42:[11, 16, 47], Operations: ['92-45=47']
Exploring Operation: 16-11=5, Resulting Numbers: [47, 5]
Generated Node #0,0,2: 42:[47, 5] Operation: 16-11=5
Moving to Node #0,0,2
Current State: 42:[47, 5], Operations: ['92-45=47', '16-11=5']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
21,
9,
6,
70
] | 65 | [
"21+9=30",
"30/6=5",
"70-5=65"
] | Current State: 65:[21, 9, 6, 70], Operations: []
Exploring Operation: 21+9=30, Resulting Numbers: [6, 70, 30]
Generated Node #2: [6, 70, 30] from Operation: 21+9=30
Current State: 65:[6, 70, 30], Operations: ['21+9=30']
Exploring Operation: 30/6=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 30/6=5
Current State: 65:[70, 5], Operations: ['21+9=30', '30/6=5']
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[21, 9, 6, 70], Operations: []
Exploring Operation: 21-6=15, Resulting Numbers: [9, 70, 15]
Generated Node #0,0: 65:[9, 70, 15] Operation: 21-6=15
Exploring Operation: 21-9=12, Resulting Numbers: [6, 70, 12]
Generated Node #0,1: 65:[6, 70, 12] Operation: 21-9=12
Moving to Node #0,1
Current State: 65:[6, 70, 12], Operations: ['21-9=12']
Exploring Operation: 70-6=64, Resulting Numbers: [12, 64]
Generated Node #0,1,0: 65:[12, 64] Operation: 70-6=64
Exploring Operation: 12-6=6, Resulting Numbers: [70, 6]
Generated Node #0,1,1: 65:[70, 6] Operation: 12-6=6
Moving to Node #0,0
Current State: 65:[9, 70, 15], Operations: ['21-6=15']
Exploring Operation: 70-9=61, Resulting Numbers: [15, 61]
Generated Node #0,0,0: 65:[15, 61] Operation: 70-9=61
Exploring Operation: 15-9=6, Resulting Numbers: [70, 6]
Generated Node #0,0,1: 65:[70, 6] Operation: 15-9=6
Moving to Node #0,1,0
Current State: 65:[12, 64], Operations: ['21-9=12', '70-6=64']
Exploring Operation: 12+64=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[15, 61], Operations: ['21-6=15', '70-9=61']
Exploring Operation: 15+61=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[70, 6], Operations: ['21-9=12', '12-6=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[70, 6], Operations: ['21-6=15', '15-9=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,65 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
93,
53,
28,
2
] | 59 | [
"93+53=146",
"146-28=118",
"118/2=59"
] | Current State: 59:[93, 53, 28, 2], Operations: []
Exploring Operation: 93+53=146, Resulting Numbers: [28, 2, 146]
Generated Node #2: [28, 2, 146] from Operation: 93+53=146
Current State: 59:[28, 2, 146], Operations: ['93+53=146']
Exploring Operation: 146-28=118, Resulting Numbers: [2, 118]
Generated Node #3: [2, 118] from Operation: 146-28=118
Current State: 59:[2, 118], Operations: ['93+53=146', '146-28=118']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[93, 53, 28, 2], Operations: []
Exploring Operation: 93-28=65, Resulting Numbers: [53, 2, 65]
Generated Node #0,0: 59:[53, 2, 65] Operation: 93-28=65
Exploring Operation: 28*2=56, Resulting Numbers: [93, 53, 56]
Generated Node #0,1: 59:[93, 53, 56] Operation: 28*2=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[93, 53, 56], Operations: ['28*2=56']
Exploring Operation: 93-56=37, Resulting Numbers: [53, 37]
Generated Node #0,1,0: 59:[53, 37] Operation: 93-56=37
Exploring Operation: 93-53=40, Resulting Numbers: [56, 40]
Generated Node #0,1,1: 59:[56, 40] Operation: 93-53=40
Moving to Node #0,1,1
Current State: 59:[56, 40], Operations: ['28*2=56', '93-53=40']
Exploring Operation: 56+40=96, Resulting Numbers: [96]
96,59 unequal: No Solution
Exploring Operation: 56-40=16, Resulting Numbers: [16]
16,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[53, 37], Operations: ['28*2=56', '93-56=37']
Exploring Operation: 53-37=16, Resulting Numbers: [16]
16,59 unequal: No Solution
Exploring Operation: 53+37=90, Resulting Numbers: [90]
90,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[53, 2, 65], Operations: ['93-28=65']
Exploring Operation: 65-2=63, Resulting Numbers: [53, 63]
Generated Node #0,0,0: 59:[53, 63] Operation: 65-2=63
Exploring Operation: 53+2=55, Resulting Numbers: [65, 55]
Generated Node #0,0,1: 59:[65, 55] Operation: 53+2=55
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[53, 63], Operations: ['93-28=65', '65-2=63']
Exploring Operation: 53+63=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[65, 55], Operations: ['93-28=65', '53+2=55']
Exploring Operation: 65-55=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Exploring Operation: 65+55=120, Resulting Numbers: [120]
120,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
43,
6,
51,
9
] | 39 | [
"51-43=8",
"6*8=48",
"48-9=39"
] | Current State: 39:[43, 6, 51, 9], Operations: []
Exploring Operation: 51-43=8, Resulting Numbers: [6, 9, 8]
Generated Node #2: [6, 9, 8] from Operation: 51-43=8
Current State: 39:[6, 9, 8], Operations: ['51-43=8']
Exploring Operation: 6*8=48, Resulting Numbers: [9, 48]
Generated Node #3: [9, 48] from Operation: 6*8=48
Current State: 39:[9, 48], Operations: ['51-43=8', '6*8=48']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[43, 6, 51, 9], Operations: []
Exploring Operation: 51-43=8, Resulting Numbers: [6, 9, 8]
Generated Node #0,0: 39:[6, 9, 8] Operation: 51-43=8
Exploring Operation: 51-6=45, Resulting Numbers: [43, 9, 45]
Generated Node #0,1: 39:[43, 9, 45] Operation: 51-6=45
Exploring Operation: 51-9=42, Resulting Numbers: [43, 6, 42]
Generated Node #0,2: 39:[43, 6, 42] Operation: 51-9=42
Moving to Node #0,2
Current State: 39:[43, 6, 42], Operations: ['51-9=42']
Exploring Operation: 42-6=36, Resulting Numbers: [43, 36]
Generated Node #0,2,0: 39:[43, 36] Operation: 42-6=36
Exploring Operation: 43-6=37, Resulting Numbers: [42, 37]
Generated Node #0,2,1: 39:[42, 37] Operation: 43-6=37
Exploring Operation: 43-42=1, Resulting Numbers: [6, 1]
Generated Node #0,2,2: 39:[6, 1] Operation: 43-42=1
Moving to Node #0,0
Current State: 39:[6, 9, 8], Operations: ['51-43=8']
Exploring Operation: 8-6=2, Resulting Numbers: [9, 2]
Generated Node #0,0,0: 39:[9, 2] Operation: 8-6=2
Exploring Operation: 9-6=3, Resulting Numbers: [8, 3]
Generated Node #0,0,1: 39:[8, 3] Operation: 9-6=3
Exploring Operation: 6+8=14, Resulting Numbers: [9, 14]
Generated Node #0,0,2: 39:[9, 14] Operation: 6+8=14
Moving to Node #0,1
Current State: 39:[43, 9, 45], Operations: ['51-6=45']
Exploring Operation: 45-43=2, Resulting Numbers: [9, 2]
Generated Node #0,1,0: 39:[9, 2] Operation: 45-43=2
Exploring Operation: 45/9=5, Resulting Numbers: [43, 5]
Generated Node #0,1,1: 39:[43, 5] Operation: 45/9=5
Exploring Operation: 45-9=36, Resulting Numbers: [43, 36]
Generated Node #0,1,2: 39:[43, 36] Operation: 45-9=36
Moving to Node #0,2,1
Current State: 39:[42, 37], Operations: ['51-9=42', '43-6=37']
Exploring Operation: 42+37=79, Resulting Numbers: [79]
79,39 unequal: No Solution
Exploring Operation: 42-37=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 42*37=1554, Resulting Numbers: [1554]
1554,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[9, 14], Operations: ['51-43=8', '6+8=14']
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 9*14=126, Resulting Numbers: [126]
126,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[9, 2], Operations: ['51-6=45', '45-43=2']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Moving to Node #0,2,2
Current State: 39:[6, 1], Operations: ['51-9=42', '43-42=1']
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[8, 3], Operations: ['51-43=8', '9-6=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,39 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[9, 2], Operations: ['51-43=8', '8-6=2']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[43, 5], Operations: ['51-6=45', '45/9=5']
Exploring Operation: 43*5=215, Resulting Numbers: [215]
215,39 unequal: No Solution
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,39 unequal: No Solution
Moving to Node #0,2,0
Current State: 39:[43, 36], Operations: ['51-9=42', '42-6=36']
Exploring Operation: 43-36=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 43*36=1548, Resulting Numbers: [1548]
1548,39 unequal: No Solution
Exploring Operation: 43+36=79, Resulting Numbers: [79]
79,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[43, 36], Operations: ['51-6=45', '45-9=36']
Exploring Operation: 43*36=1548, Resulting Numbers: [1548]
1548,39 unequal: No Solution
Exploring Operation: 43+36=79, Resulting Numbers: [79]
79,39 unequal: No Solution
Exploring Operation: 43-36=7, Resulting Numbers: [7]
7,39 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
12,
8,
74,
53
] | 31 | [
"12*8=96",
"74+53=127",
"127-96=31"
] | Current State: 31:[12, 8, 74, 53], Operations: []
Exploring Operation: 12*8=96, Resulting Numbers: [74, 53, 96]
Generated Node #2: [74, 53, 96] from Operation: 12*8=96
Current State: 31:[74, 53, 96], Operations: ['12*8=96']
Exploring Operation: 74+53=127, Resulting Numbers: [96, 127]
Generated Node #3: [96, 127] from Operation: 74+53=127
Current State: 31:[96, 127], Operations: ['12*8=96', '74+53=127']
Exploring Operation: 127-96=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[12, 8, 74, 53], Operations: []
Exploring Operation: 53-12=41, Resulting Numbers: [8, 74, 41]
Generated Node #0,0: 31:[8, 74, 41] Operation: 53-12=41
Exploring Operation: 74-12=62, Resulting Numbers: [8, 53, 62]
Generated Node #0,1: 31:[8, 53, 62] Operation: 74-12=62
Exploring Operation: 74-53=21, Resulting Numbers: [12, 8, 21]
Generated Node #0,2: 31:[12, 8, 21] Operation: 74-53=21
Exploring Operation: 12+8=20, Resulting Numbers: [74, 53, 20]
Generated Node #0,3: 31:[74, 53, 20] Operation: 12+8=20
Exploring Operation: 74-8=66, Resulting Numbers: [12, 53, 66]
Generated Node #0,4: 31:[12, 53, 66] Operation: 74-8=66
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[12, 8, 21], Operations: ['74-53=21']
Exploring Operation: 8+21=29, Resulting Numbers: [12, 29]
Generated Node #0,2,0: 31:[12, 29] Operation: 8+21=29
Exploring Operation: 12+8=20, Resulting Numbers: [21, 20]
Generated Node #0,2,1: 31:[21, 20] Operation: 12+8=20
Exploring Operation: 12-8=4, Resulting Numbers: [21, 4]
Generated Node #0,2,2: 31:[21, 4] Operation: 12-8=4
Exploring Operation: 21-8=13, Resulting Numbers: [12, 13]
Generated Node #0,2,3: 31:[12, 13] Operation: 21-8=13
Exploring Operation: 12+21=33, Resulting Numbers: [8, 33]
Generated Node #0,2,4: 31:[8, 33] Operation: 12+21=33
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 31:[12, 29], Operations: ['74-53=21', '8+21=29']
Exploring Operation: 12*29=348, Resulting Numbers: [348]
348,31 unequal: No Solution
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 31:[21, 20], Operations: ['74-53=21', '12+8=20']
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 21*20=420, Resulting Numbers: [420]
420,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 31:[8, 33], Operations: ['74-53=21', '12+21=33']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 31:[21, 4], Operations: ['74-53=21', '12-8=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,31 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,31 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 31:[12, 13], Operations: ['74-53=21', '21-8=13']
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,31 unequal: No Solution
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[8, 74, 41], Operations: ['53-12=41']
Exploring Operation: 8+74=82, Resulting Numbers: [41, 82]
Generated Node #0,0,0: 31:[41, 82] Operation: 8+74=82
Exploring Operation: 74-41=33, Resulting Numbers: [8, 33]
Generated Node #0,0,1: 31:[8, 33] Operation: 74-41=33
Exploring Operation: 8+41=49, Resulting Numbers: [74, 49]
Generated Node #0,0,2: 31:[74, 49] Operation: 8+41=49
Exploring Operation: 41-8=33, Resulting Numbers: [74, 33]
Generated Node #0,0,3: 31:[74, 33] Operation: 41-8=33
Exploring Operation: 74-8=66, Resulting Numbers: [41, 66]
Generated Node #0,0,4: 31:[41, 66] Operation: 74-8=66
Moving to Node #0,0,1
Current State: 31:[8, 33], Operations: ['53-12=41', '74-41=33']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,31 unequal: No Solution
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Moving to Node #0,0,4
Current State: 31:[41, 66], Operations: ['53-12=41', '74-8=66']
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 41+66=107, Resulting Numbers: [107]
107,31 unequal: No Solution
Exploring Operation: 41*66=2706, Resulting Numbers: [2706]
2706,31 unequal: No Solution
Moving to Node #0,0,3
Current State: 31:[74, 33], Operations: ['53-12=41', '41-8=33']
Exploring Operation: 74+33=107, Resulting Numbers: [107]
107,31 unequal: No Solution
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 74*33=2442, Resulting Numbers: [2442]
2442,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[41, 82], Operations: ['53-12=41', '8+74=82']
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 82/41=2, Resulting Numbers: [2]
2,31 unequal: No Solution
Exploring Operation: 41+82=123, Resulting Numbers: [123]
123,31 unequal: No Solution
Exploring Operation: 41*82=3362, Resulting Numbers: [3362]
3362,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[74, 49], Operations: ['53-12=41', '8+41=49']
Exploring Operation: 74+49=123, Resulting Numbers: [123]
123,31 unequal: No Solution
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 74*49=3626, Resulting Numbers: [3626]
3626,31 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 #0,1
Current State: 31:[8, 53, 62], Operations: ['74-12=62']
Exploring Operation: 8+62=70, Resulting Numbers: [53, 70]
Generated Node #0,1,0: 31:[53, 70] Operation: 8+62=70
Exploring Operation: 53-8=45, Resulting Numbers: [62, 45]
Generated Node #0,1,1: 31:[62, 45] Operation: 53-8=45
Exploring Operation: 8+53=61, Resulting Numbers: [62, 61]
Generated Node #0,1,2: 31:[62, 61] Operation: 8+53=61
Exploring Operation: 62-53=9, Resulting Numbers: [8, 9]
Generated Node #0,1,3: 31:[8, 9] Operation: 62-53=9
Exploring Operation: 62-8=54, Resulting Numbers: [53, 54]
Generated Node #0,1,4: 31:[53, 54] Operation: 62-8=54
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 31:[62, 45], Operations: ['74-12=62', '53-8=45']
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,31 unequal: No Solution
Exploring Operation: 62+45=107, Resulting Numbers: [107]
107,31 unequal: No Solution
Exploring Operation: 62*45=2790, Resulting Numbers: [2790]
2790,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 31:[8, 9], Operations: ['74-12=62', '62-53=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,31 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,31 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 31:[53, 54], Operations: ['74-12=62', '62-8=54']
Exploring Operation: 53*54=2862, Resulting Numbers: [2862]
2862,31 unequal: No Solution
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 53+54=107, Resulting Numbers: [107]
107,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[53, 70], Operations: ['74-12=62', '8+62=70']
Exploring Operation: 70-53=17, Resulting Numbers: [17]
17,31 unequal: No Solution
Exploring Operation: 53*70=3710, Resulting Numbers: [3710]
3710,31 unequal: No Solution
Exploring Operation: 53+70=123, Resulting Numbers: [123]
123,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 31:[62, 61], Operations: ['74-12=62', '8+53=61']
Exploring Operation: 62*61=3782, Resulting Numbers: [3782]
3782,31 unequal: No Solution
Exploring Operation: 62+61=123, Resulting Numbers: [123]
123,31 unequal: No Solution
Exploring Operation: 62-61=1, Resulting Numbers: [1]
1,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 31:[74, 53, 20], Operations: ['12+8=20']
Exploring Operation: 74-53=21, Resulting Numbers: [20, 21]
Generated Node #0,3,0: 31:[20, 21] Operation: 74-53=21
Exploring Operation: 53+20=73, Resulting Numbers: [74, 73]
Generated Node #0,3,1: 31:[74, 73] Operation: 53+20=73
Exploring Operation: 53-20=33, Resulting Numbers: [74, 33]
Generated Node #0,3,2: 31:[74, 33] Operation: 53-20=33
Exploring Operation: 74-20=54, Resulting Numbers: [53, 54]
Generated Node #0,3,3: 31:[53, 54] Operation: 74-20=54
Exploring Operation: 74+20=94, Resulting Numbers: [53, 94]
Generated Node #0,3,4: 31:[53, 94] Operation: 74+20=94
Moving to Node #0,3,0
Current State: 31:[20, 21], Operations: ['12+8=20', '74-53=21']
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,31 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Moving to Node #0,3,3
Current State: 31:[53, 54], Operations: ['12+8=20', '74-20=54']
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 53+54=107, Resulting Numbers: [107]
107,31 unequal: No Solution
Exploring Operation: 53*54=2862, Resulting Numbers: [2862]
2862,31 unequal: No Solution
Moving to Node #0,3,2
Current State: 31:[74, 33], Operations: ['12+8=20', '53-20=33']
Exploring Operation: 74+33=107, Resulting Numbers: [107]
107,31 unequal: No Solution
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 74*33=2442, Resulting Numbers: [2442]
2442,31 unequal: No Solution
Moving to Node #0,3,1
Current State: 31:[74, 73], Operations: ['12+8=20', '53+20=73']
Exploring Operation: 74-73=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 74*73=5402, Resulting Numbers: [5402]
5402,31 unequal: No Solution
Exploring Operation: 74+73=147, Resulting Numbers: [147]
147,31 unequal: No Solution
Moving to Node #0,3,4
Current State: 31:[53, 94], Operations: ['12+8=20', '74+20=94']
Exploring Operation: 94-53=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 53+94=147, Resulting Numbers: [147]
147,31 unequal: No Solution
Exploring Operation: 53*94=4982, Resulting Numbers: [4982]
4982,31 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 #0,4
Current State: 31:[12, 53, 66], Operations: ['74-8=66']
Exploring Operation: 53-12=41, Resulting Numbers: [66, 41]
Generated Node #0,4,0: 31:[66, 41] Operation: 53-12=41
Exploring Operation: 66-53=13, Resulting Numbers: [12, 13]
Generated Node #0,4,1: 31:[12, 13] Operation: 66-53=13
Exploring Operation: 12+66=78, Resulting Numbers: [53, 78]
Generated Node #0,4,2: 31:[53, 78] Operation: 12+66=78
Exploring Operation: 66-12=54, Resulting Numbers: [53, 54]
Generated Node #0,4,3: 31:[53, 54] Operation: 66-12=54
Exploring Operation: 12+53=65, Resulting Numbers: [66, 65]
Generated Node #0,4,4: 31:[66, 65] Operation: 12+53=65
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 31:[12, 13], Operations: ['74-8=66', '66-53=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,31 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 31:[66, 41], Operations: ['74-8=66', '53-12=41']
Exploring Operation: 66+41=107, Resulting Numbers: [107]
107,31 unequal: No Solution
Exploring Operation: 66*41=2706, Resulting Numbers: [2706]
2706,31 unequal: No Solution
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 31:[53, 54], Operations: ['74-8=66', '66-12=54']
Exploring Operation: 53*54=2862, Resulting Numbers: [2862]
2862,31 unequal: No Solution
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 53+54=107, Resulting Numbers: [107]
107,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 31:[53, 78], Operations: ['74-8=66', '12+66=78']
Exploring Operation: 53*78=4134, Resulting Numbers: [4134]
4134,31 unequal: No Solution
Exploring Operation: 53+78=131, Resulting Numbers: [131]
131,31 unequal: No Solution
Exploring Operation: 78-53=25, Resulting Numbers: [25]
25,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 31:[66, 65], Operations: ['74-8=66', '12+53=65']
Exploring Operation: 66*65=4290, Resulting Numbers: [4290]
4290,31 unequal: No Solution
Exploring Operation: 66+65=131, Resulting Numbers: [131]
131,31 unequal: No Solution
Exploring Operation: 66-65=1, Resulting Numbers: [1]
1,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
48,
9,
50,
50
] | 68 | [
"50-48=2",
"9*2=18",
"50+18=68"
] | Current State: 68:[48, 9, 50, 50], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [9, 2]
Generated Node #2: [9, 2] from Operation: 50-48=2
Current State: 68:[9, 2], Operations: ['50-48=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,68 equal: Goal Reached
Exploring Operation: 50+18=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[48, 9, 50, 50], Operations: []
Exploring Operation: 50/50=1, Resulting Numbers: [48, 9, 1]
Generated Node #0,0: 68:[48, 9, 1] Operation: 50/50=1
Moving to Node #0,0
Current State: 68:[48, 9, 1], Operations: ['50/50=1']
Exploring Operation: 48-9=39, Resulting Numbers: [1, 39]
Generated Node #0,0,0: 68:[1, 39] Operation: 48-9=39
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[1, 39], Operations: ['50/50=1', '48-9=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,68 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 |
[
8,
8,
63,
96
] | 95 | [
"8*8=64",
"63+96=159",
"159-64=95"
] | Current State: 95:[8, 8, 63, 96], Operations: []
Exploring Operation: 8*8=64, Resulting Numbers: [63, 96, 64]
Generated Node #2: [63, 96, 64] from Operation: 8*8=64
Current State: 95:[63, 96, 64], Operations: ['8*8=64']
Exploring Operation: 63+96=159, Resulting Numbers: [64, 159]
Generated Node #3: [64, 159] from Operation: 63+96=159
Current State: 95:[64, 159], Operations: ['8*8=64', '63+96=159']
Exploring Operation: 159-64=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[8, 8, 63, 96], Operations: []
Exploring Operation: 8+8=16, Resulting Numbers: [63, 96, 16]
Generated Node #0,0: 95:[63, 96, 16] Operation: 8+8=16
Exploring Operation: 8+63=71, Resulting Numbers: [8, 96, 71]
Generated Node #0,1: 95:[8, 96, 71] Operation: 8+63=71
Exploring Operation: 96-63=33, Resulting Numbers: [8, 8, 33]
Generated Node #0,2: 95:[8, 8, 33] Operation: 96-63=33
Exploring Operation: 8+63=71, Resulting Numbers: [8, 96, 71]
Generated Node #0,3: 95:[8, 96, 71] Operation: 8+63=71
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[8, 8, 33], Operations: ['96-63=33']
Exploring Operation: 33-8=25, Resulting Numbers: [8, 25]
Generated Node #0,2,0: 95:[8, 25] Operation: 33-8=25
Exploring Operation: 8/8=1, Resulting Numbers: [33, 1]
Generated Node #0,2,1: 95:[33, 1] Operation: 8/8=1
Exploring Operation: 8+8=16, Resulting Numbers: [33, 16]
Generated Node #0,2,2: 95:[33, 16] Operation: 8+8=16
Exploring Operation: 33-8=25, Resulting Numbers: [8, 25]
Generated Node #0,2,3: 95:[8, 25] Operation: 33-8=25
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 95:[8, 25], Operations: ['96-63=33', '33-8=25']
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 95:[8, 25], Operations: ['96-63=33', '33-8=25']
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,95 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 95:[33, 16], Operations: ['96-63=33', '8+8=16']
Exploring Operation: 33*16=528, Resulting Numbers: [528]
528,95 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 95:[33, 1], Operations: ['96-63=33', '8/8=1']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,95 unequal: No Solution
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[8, 96, 71], Operations: ['8+63=71']
Exploring Operation: 96-71=25, Resulting Numbers: [8, 25]
Generated Node #0,1,0: 95:[8, 25] Operation: 96-71=25
Exploring Operation: 96/8=12, Resulting Numbers: [71, 12]
Generated Node #0,1,1: 95:[71, 12] Operation: 96/8=12
Exploring Operation: 8+71=79, Resulting Numbers: [96, 79]
Generated Node #0,1,2: 95:[96, 79] Operation: 8+71=79
Exploring Operation: 96-8=88, Resulting Numbers: [71, 88]
Generated Node #0,1,3: 95:[71, 88] Operation: 96-8=88
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 95:[8, 25], Operations: ['8+63=71', '96-71=25']
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,95 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:[96, 79], Operations: ['8+63=71', '8+71=79']
Exploring Operation: 96*79=7584, Resulting Numbers: [7584]
7584,95 unequal: No Solution
Exploring Operation: 96+79=175, Resulting Numbers: [175]
175,95 unequal: No Solution
Exploring Operation: 96-79=17, Resulting Numbers: [17]
17,95 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:[71, 12], Operations: ['8+63=71', '96/8=12']
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,95 unequal: No Solution
Exploring Operation: 71*12=852, Resulting Numbers: [852]
852,95 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 95:[71, 88], Operations: ['8+63=71', '96-8=88']
Exploring Operation: 88-71=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 71+88=159, Resulting Numbers: [159]
159,95 unequal: No Solution
Exploring Operation: 71*88=6248, Resulting Numbers: [6248]
6248,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 95:[8, 96, 71], Operations: ['8+63=71']
Exploring Operation: 96-71=25, Resulting Numbers: [8, 25]
Generated Node #0,3,0: 95:[8, 25] Operation: 96-71=25
Exploring Operation: 96/8=12, Resulting Numbers: [71, 12]
Generated Node #0,3,1: 95:[71, 12] Operation: 96/8=12
Exploring Operation: 8+71=79, Resulting Numbers: [96, 79]
Generated Node #0,3,2: 95:[96, 79] Operation: 8+71=79
Exploring Operation: 96-8=88, Resulting Numbers: [71, 88]
Generated Node #0,3,3: 95:[71, 88] Operation: 96-8=88
Moving to Node #0,3,0
Current State: 95:[8, 25], Operations: ['8+63=71', '96-71=25']
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,95 unequal: No Solution
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Moving to Node #0,3,2
Current State: 95:[96, 79], Operations: ['8+63=71', '8+71=79']
Exploring Operation: 96-79=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 96+79=175, Resulting Numbers: [175]
175,95 unequal: No Solution
Exploring Operation: 96*79=7584, Resulting Numbers: [7584]
7584,95 unequal: No Solution
Moving to Node #0,3,3
Current State: 95:[71, 88], Operations: ['8+63=71', '96-8=88']
Exploring Operation: 71*88=6248, Resulting Numbers: [6248]
6248,95 unequal: No Solution
Exploring Operation: 71+88=159, Resulting Numbers: [159]
159,95 unequal: No Solution
Exploring Operation: 88-71=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Moving to Node #0,3,1
Current State: 95:[71, 12], Operations: ['8+63=71', '96/8=12']
Exploring Operation: 71*12=852, Resulting Numbers: [852]
852,95 unequal: No Solution
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,95 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,95 unequal: No Solution
No 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:[63, 96, 16], Operations: ['8+8=16']
Exploring Operation: 63+16=79, Resulting Numbers: [96, 79]
Generated Node #0,0,0: 95:[96, 79] Operation: 63+16=79
Exploring Operation: 96/16=6, Resulting Numbers: [63, 6]
Generated Node #0,0,1: 95:[63, 6] Operation: 96/16=6
Exploring Operation: 63-16=47, Resulting Numbers: [96, 47]
Generated Node #0,0,2: 95:[96, 47] Operation: 63-16=47
Exploring Operation: 96-63=33, Resulting Numbers: [16, 33]
Generated Node #0,0,3: 95:[16, 33] Operation: 96-63=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[96, 79], Operations: ['8+8=16', '63+16=79']
Exploring Operation: 96*79=7584, Resulting Numbers: [7584]
7584,95 unequal: No Solution
Exploring Operation: 96-79=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 96+79=175, Resulting Numbers: [175]
175,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 95:[16, 33], Operations: ['8+8=16', '96-63=33']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 16*33=528, Resulting Numbers: [528]
528,95 unequal: No Solution
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 95:[96, 47], Operations: ['8+8=16', '63-16=47']
Exploring Operation: 96+47=143, Resulting Numbers: [143]
143,95 unequal: No Solution
Exploring Operation: 96-47=49, Resulting Numbers: [49]
49,95 unequal: No Solution
Exploring Operation: 96*47=4512, Resulting Numbers: [4512]
4512,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 95:[63, 6], Operations: ['8+8=16', '96/16=6']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,95 unequal: No Solution
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,95 unequal: No Solution
Exploring Operation: 63*6=378, Resulting Numbers: [378]
378,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
57,
20,
5,
71
] | 56 | [
"71-57=14",
"20/5=4",
"14*4=56"
] | Current State: 56:[57, 20, 5, 71], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [20, 5, 14]
Generated Node #2: [20, 5, 14] from Operation: 71-57=14
Current State: 56:[20, 5, 14], Operations: ['71-57=14']
Exploring Operation: 20/5=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 20/5=4
Current State: 56:[14, 4], Operations: ['71-57=14', '20/5=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[57, 20, 5, 71], Operations: []
Exploring Operation: 71-20=51, Resulting Numbers: [57, 5, 51]
Generated Node #0,0: 56:[57, 5, 51] Operation: 71-20=51
Exploring Operation: 71-57=14, Resulting Numbers: [20, 5, 14]
Generated Node #0,1: 56:[20, 5, 14] Operation: 71-57=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[57, 5, 51], Operations: ['71-20=51']
Exploring Operation: 5+51=56, Resulting Numbers: [57, 56]
Generated Node #0,0,0: 56:[57, 56] Operation: 5+51=56
Exploring Operation: 57-51=6, Resulting Numbers: [5, 6]
Generated Node #0,0,1: 56:[5, 6] Operation: 57-51=6
Moving to Node #0,0,0
Current State: 56:[57, 56], Operations: ['71-20=51', '5+51=56']
Exploring Operation: 57+56=113, Resulting Numbers: [113]
113,56 unequal: No Solution
Exploring Operation: 57-56=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[5, 6], Operations: ['71-20=51', '57-51=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[20, 5, 14], Operations: ['71-57=14']
Exploring Operation: 20-5=15, Resulting Numbers: [14, 15]
Generated Node #0,1,0: 56:[14, 15] Operation: 20-5=15
Exploring Operation: 20/5=4, Resulting Numbers: [14, 4]
Generated Node #0,1,1: 56:[14, 4] Operation: 20/5=4
Moving to Node #0,1,1
Current State: 56:[14, 4], Operations: ['71-57=14', '20/5=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[57, 20, 5, 71], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [20, 5, 14]
Generated Node #0,1: 56:[20, 5, 14] Operation: 71-57=14
Moving to Node #0,1
Current State: 56:[20, 5, 14], Operations: ['71-57=14']
Exploring Operation: 20/5=4, Resulting Numbers: [14, 4]
Generated Node #0,1,1: 56:[14, 4] Operation: 20/5=4
Moving to Node #0,1,1
Current State: 56:[14, 4], Operations: ['71-57=14', '20/5=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
14,
30,
65,
5
] | 99 | [
"65-14=51",
"30*5=150",
"150-51=99"
] | Current State: 99:[14, 30, 65, 5], Operations: []
Exploring Operation: 65-14=51, Resulting Numbers: [30, 5, 51]
Generated Node #2: [30, 5, 51] from Operation: 65-14=51
Current State: 99:[30, 5, 51], Operations: ['65-14=51']
Exploring Operation: 30*5=150, Resulting Numbers: [51, 150]
Generated Node #3: [51, 150] from Operation: 30*5=150
Current State: 99:[51, 150], Operations: ['65-14=51', '30*5=150']
Exploring Operation: 150-51=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[14, 30, 65, 5], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [14, 30, 13]
Generated Node #0,0: 99:[14, 30, 13] Operation: 65/5=13
Exploring Operation: 65-30=35, Resulting Numbers: [14, 5, 35]
Generated Node #0,1: 99:[14, 5, 35] Operation: 65-30=35
Moving to Node #0,1
Current State: 99:[14, 5, 35], Operations: ['65-30=35']
Exploring Operation: 14-5=9, Resulting Numbers: [35, 9]
Generated Node #0,1,0: 99:[35, 9] Operation: 14-5=9
Exploring Operation: 35/5=7, Resulting Numbers: [14, 7]
Generated Node #0,1,1: 99:[14, 7] Operation: 35/5=7
Moving to Node #0,0
Current State: 99:[14, 30, 13], Operations: ['65/5=13']
Exploring Operation: 14-13=1, Resulting Numbers: [30, 1]
Generated Node #0,0,0: 99:[30, 1] Operation: 14-13=1
Exploring Operation: 30-14=16, Resulting Numbers: [13, 16]
Generated Node #0,0,1: 99:[13, 16] Operation: 30-14=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[30, 1], Operations: ['65/5=13', '14-13=1']
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,99 unequal: No Solution
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,99 unequal: No Solution
No 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: 99:[13, 16], Operations: ['65/5=13', '30-14=16']
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,99 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: 99:[35, 9], Operations: ['65-30=35', '14-5=9']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Exploring Operation: 35+9=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[14, 7], Operations: ['65-30=35', '35/5=7']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,99 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
23,
32,
12,
37
] | 36 | [
"32+37=69",
"69/23=3",
"12*3=36"
] | Current State: 36:[23, 32, 12, 37], Operations: []
Exploring Operation: 32+37=69, Resulting Numbers: [23, 12, 69]
Generated Node #2: [23, 12, 69] from Operation: 32+37=69
Current State: 36:[23, 12, 69], Operations: ['32+37=69']
Exploring Operation: 69/23=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 69/23=3
Current State: 36:[12, 3], Operations: ['32+37=69', '69/23=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[23, 32, 12, 37], Operations: []
Exploring Operation: 23+12=35, Resulting Numbers: [32, 37, 35]
Generated Node #0,0: 36:[32, 37, 35] Operation: 23+12=35
Exploring Operation: 23-12=11, Resulting Numbers: [32, 37, 11]
Generated Node #0,1: 36:[32, 37, 11] Operation: 23-12=11
Exploring Operation: 32-23=9, Resulting Numbers: [12, 37, 9]
Generated Node #0,2: 36:[12, 37, 9] Operation: 32-23=9
Exploring Operation: 37-32=5, Resulting Numbers: [23, 12, 5]
Generated Node #0,3: 36:[23, 12, 5] Operation: 37-32=5
Exploring Operation: 37-23=14, Resulting Numbers: [32, 12, 14]
Generated Node #0,4: 36:[32, 12, 14] Operation: 37-23=14
Moving to Node #0,2
Current State: 36:[12, 37, 9], Operations: ['32-23=9']
Exploring Operation: 37-12=25, Resulting Numbers: [9, 25]
Generated Node #0,2,0: 36:[9, 25] Operation: 37-12=25
Exploring Operation: 12+9=21, Resulting Numbers: [37, 21]
Generated Node #0,2,1: 36:[37, 21] Operation: 12+9=21
Exploring Operation: 37-9=28, Resulting Numbers: [12, 28]
Generated Node #0,2,2: 36:[12, 28] Operation: 37-9=28
Exploring Operation: 37+9=46, Resulting Numbers: [12, 46]
Generated Node #0,2,3: 36:[12, 46] Operation: 37+9=46
Exploring Operation: 12-9=3, Resulting Numbers: [37, 3]
Generated Node #0,2,4: 36:[37, 3] Operation: 12-9=3
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 36:[37, 3], Operations: ['32-23=9', '12-9=3']
Exploring Operation: 37*3=111, Resulting Numbers: [111]
111,36 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 36:[37, 21], Operations: ['32-23=9', '12+9=21']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 37*21=777, Resulting Numbers: [777]
777,36 unequal: No Solution
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 36:[9, 25], Operations: ['32-23=9', '37-12=25']
Exploring Operation: 9*25=225, Resulting Numbers: [225]
225,36 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 36:[12, 28], Operations: ['32-23=9', '37-9=28']
Exploring Operation: 12+28=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 12*28=336, Resulting Numbers: [336]
336,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 36:[12, 46], Operations: ['32-23=9', '37+9=46']
Exploring Operation: 12+46=58, Resulting Numbers: [58]
58,36 unequal: No Solution
Exploring Operation: 12*46=552, Resulting Numbers: [552]
552,36 unequal: No Solution
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,36 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: 36:[32, 37, 11], Operations: ['23-12=11']
Exploring Operation: 37-32=5, Resulting Numbers: [11, 5]
Generated Node #0,1,0: 36:[11, 5] Operation: 37-32=5
Exploring Operation: 37-11=26, Resulting Numbers: [32, 26]
Generated Node #0,1,1: 36:[32, 26] Operation: 37-11=26
Exploring Operation: 32+11=43, Resulting Numbers: [37, 43]
Generated Node #0,1,2: 36:[37, 43] Operation: 32+11=43
Exploring Operation: 32-11=21, Resulting Numbers: [37, 21]
Generated Node #0,1,3: 36:[37, 21] Operation: 32-11=21
Exploring Operation: 37+11=48, Resulting Numbers: [32, 48]
Generated Node #0,1,4: 36:[32, 48] Operation: 37+11=48
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[11, 5], Operations: ['23-12=11', '37-32=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 36:[37, 21], Operations: ['23-12=11', '32-11=21']
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,36 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 37*21=777, Resulting Numbers: [777]
777,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 36:[37, 43], Operations: ['23-12=11', '32+11=43']
Exploring Operation: 37+43=80, Resulting Numbers: [80]
80,36 unequal: No Solution
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 37*43=1591, Resulting Numbers: [1591]
1591,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[32, 26], Operations: ['23-12=11', '37-11=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,36 unequal: No Solution
Exploring Operation: 32*26=832, Resulting Numbers: [832]
832,36 unequal: No Solution
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 36:[32, 48], Operations: ['23-12=11', '37+11=48']
Exploring Operation: 32*48=1536, Resulting Numbers: [1536]
1536,36 unequal: No Solution
Exploring Operation: 32+48=80, Resulting Numbers: [80]
80,36 unequal: No Solution
Exploring Operation: 48-32=16, Resulting Numbers: [16]
16,36 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: 36:[32, 12, 14], Operations: ['37-23=14']
Exploring Operation: 32-14=18, Resulting Numbers: [12, 18]
Generated Node #0,4,0: 36:[12, 18] Operation: 32-14=18
Exploring Operation: 32+12=44, Resulting Numbers: [14, 44]
Generated Node #0,4,1: 36:[14, 44] Operation: 32+12=44
Exploring Operation: 14-12=2, Resulting Numbers: [32, 2]
Generated Node #0,4,2: 36:[32, 2] Operation: 14-12=2
Exploring Operation: 32+14=46, Resulting Numbers: [12, 46]
Generated Node #0,4,3: 36:[12, 46] Operation: 32+14=46
Exploring Operation: 32-12=20, Resulting Numbers: [14, 20]
Generated Node #0,4,4: 36:[14, 20] Operation: 32-12=20
Moving to Node #0,0
Current State: 36:[32, 37, 35], Operations: ['23+12=35']
Exploring Operation: 35-32=3, Resulting Numbers: [37, 3]
Generated Node #0,0,0: 36:[37, 3] Operation: 35-32=3
Exploring Operation: 37-35=2, Resulting Numbers: [32, 2]
Generated Node #0,0,1: 36:[32, 2] Operation: 37-35=2
Exploring Operation: 32+37=69, Resulting Numbers: [35, 69]
Generated Node #0,0,2: 36:[35, 69] Operation: 32+37=69
Exploring Operation: 32+35=67, Resulting Numbers: [37, 67]
Generated Node #0,0,3: 36:[37, 67] Operation: 32+35=67
Exploring Operation: 37-32=5, Resulting Numbers: [35, 5]
Generated Node #0,0,4: 36:[35, 5] Operation: 37-32=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[37, 3], Operations: ['23+12=35', '35-32=3']
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 37*3=111, Resulting Numbers: [111]
111,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 36:[35, 5], Operations: ['23+12=35', '37-32=5']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 35*5=175, Resulting Numbers: [175]
175,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 36:[32, 2], Operations: ['23+12=35', '37-35=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,36 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 36:[37, 67], Operations: ['23+12=35', '32+35=67']
Exploring Operation: 37+67=104, Resulting Numbers: [104]
104,36 unequal: No Solution
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 37*67=2479, Resulting Numbers: [2479]
2479,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 36:[35, 69], Operations: ['23+12=35', '32+37=69']
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 35*69=2415, Resulting Numbers: [2415]
2415,36 unequal: No Solution
Exploring Operation: 35+69=104, Resulting Numbers: [104]
104,36 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: 36:[23, 12, 5], Operations: ['37-32=5']
Exploring Operation: 12-5=7, Resulting Numbers: [23, 7]
Generated Node #0,3,0: 36:[23, 7] Operation: 12-5=7
Exploring Operation: 23-5=18, Resulting Numbers: [12, 18]
Generated Node #0,3,1: 36:[12, 18] Operation: 23-5=18
Exploring Operation: 23+12=35, Resulting Numbers: [5, 35]
Generated Node #0,3,2: 36:[5, 35] Operation: 23+12=35
Exploring Operation: 12+5=17, Resulting Numbers: [23, 17]
Generated Node #0,3,3: 36:[23, 17] Operation: 12+5=17
Exploring Operation: 23-12=11, Resulting Numbers: [5, 11]
Generated Node #0,3,4: 36:[5, 11] Operation: 23-12=11
Moving to Node #0,4,0
Current State: 36:[12, 18], Operations: ['37-23=14', '32-14=18']
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 12*18=216, Resulting Numbers: [216]
216,36 unequal: No Solution
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Moving to Node #0,3,1
Current State: 36:[12, 18], Operations: ['37-32=5', '23-5=18']
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 12*18=216, Resulting Numbers: [216]
216,36 unequal: No Solution
Moving to Node #0,3,2
Current State: 36:[5, 35], Operations: ['37-32=5', '23+12=35']
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 5*35=175, Resulting Numbers: [175]
175,36 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Moving to Node #0,3,4
Current State: 36:[5, 11], Operations: ['37-32=5', '23-12=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Moving to Node #0,4,4
Current State: 36:[14, 20], Operations: ['37-23=14', '32-12=20']
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 14*20=280, Resulting Numbers: [280]
280,36 unequal: No Solution
Moving to Node #0,4,2
Current State: 36:[32, 2], Operations: ['37-23=14', '14-12=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,36 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Moving to Node #0,3,0
Current State: 36:[23, 7], Operations: ['37-32=5', '12-5=7']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 23*7=161, Resulting Numbers: [161]
161,36 unequal: No Solution
Moving to Node #0,3,3
Current State: 36:[23, 17], Operations: ['37-32=5', '12+5=17']
Exploring Operation: 23+17=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 23*17=391, Resulting Numbers: [391]
391,36 unequal: No Solution
Moving to Node #0,4,1
Current State: 36:[14, 44], Operations: ['37-23=14', '32+12=44']
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,36 unequal: No Solution
Exploring Operation: 14*44=616, Resulting Numbers: [616]
616,36 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Moving to Node #0,4,3
Current State: 36:[12, 46], Operations: ['37-23=14', '32+14=46']
Exploring Operation: 12*46=552, Resulting Numbers: [552]
552,36 unequal: No Solution
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 12+46=58, Resulting Numbers: [58]
58,36 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
46,
2,
65,
20
] | 64 | [
"46+20=66",
"2*65=130",
"130-66=64"
] | Current State: 64:[46, 2, 65, 20], Operations: []
Exploring Operation: 46+20=66, Resulting Numbers: [2, 65, 66]
Generated Node #2: [2, 65, 66] from Operation: 46+20=66
Current State: 64:[2, 65, 66], Operations: ['46+20=66']
Exploring Operation: 2*65=130, Resulting Numbers: [66, 130]
Generated Node #3: [66, 130] from Operation: 2*65=130
Current State: 64:[66, 130], Operations: ['46+20=66', '2*65=130']
Exploring Operation: 130-66=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[46, 2, 65, 20], Operations: []
Exploring Operation: 46+20=66, Resulting Numbers: [2, 65, 66]
Generated Node #0,0: 64:[2, 65, 66] Operation: 46+20=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[2, 65, 66], Operations: ['46+20=66']
Exploring Operation: 66-2=64, Resulting Numbers: [65, 64]
Generated Node #0,0,0: 64:[65, 64] Operation: 66-2=64
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 64:[65, 64], Operations: ['46+20=66', '66-2=64']
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,64 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_1 | mult_heuristic |
[
47,
85,
86,
49
] | 87 | [
"49-47=2",
"86*2=172",
"172-85=87"
] | Current State: 87:[47, 85, 86, 49], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [85, 86, 2]
Generated Node #2: [85, 86, 2] from Operation: 49-47=2
Current State: 87:[85, 86, 2], Operations: ['49-47=2']
Exploring Operation: 86*2=172, Resulting Numbers: [85, 172]
Generated Node #3: [85, 172] from Operation: 86*2=172
Current State: 87:[85, 172], Operations: ['49-47=2', '86*2=172']
Exploring Operation: 172-85=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[47, 85, 86, 49], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [85, 86, 2]
Generated Node #0,0: 87:[85, 86, 2] Operation: 49-47=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[85, 86, 2], Operations: ['49-47=2']
Exploring Operation: 85+2=87, Resulting Numbers: [86, 87]
Generated Node #0,0,0: 87:[86, 87] Operation: 85+2=87
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[86, 87], Operations: ['49-47=2', '85+2=87']
Exploring Operation: 87-86=1, Resulting Numbers: [1]
1,87 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_1 | sum_heuristic |
[
14,
5,
56,
70
] | 46 | [
"70/14=5",
"56-5=51",
"51-5=46"
] | Current State: 46:[14, 5, 56, 70], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [5, 56, 5]
Generated Node #2: [5, 56, 5] from Operation: 70/14=5
Current State: 46:[5, 56, 5], Operations: ['70/14=5']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,46 equal: Goal Reached
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[14, 5, 56, 70], Operations: []
Exploring Operation: 70-56=14, Resulting Numbers: [14, 5, 14]
Generated Node #0,0: 46:[14, 5, 14] Operation: 70-56=14
Exploring Operation: 70/14=5, Resulting Numbers: [5, 56, 5]
Generated Node #0,1: 46:[5, 56, 5] Operation: 70/14=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[5, 56, 5], Operations: ['70/14=5']
Exploring Operation: 56-5=51, Resulting Numbers: [5, 51]
Generated Node #0,1,0: 46:[5, 51] Operation: 56-5=51
Exploring Operation: 56-5=51, Resulting Numbers: [5, 51]
Generated Node #0,1,1: 46:[5, 51] Operation: 56-5=51
Moving to Node #0,1,0
Current State: 46:[5, 51], Operations: ['70/14=5', '56-5=51']
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,46 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[14, 5, 56, 70], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [5, 56, 5]
Generated Node #0,1: 46:[5, 56, 5] Operation: 70/14=5
Moving to Node #0,1
Current State: 46:[5, 56, 5], Operations: ['70/14=5']
Exploring Operation: 56-5=51, Resulting Numbers: [5, 51]
Generated Node #0,1,0: 46:[5, 51] Operation: 56-5=51
Moving to Node #0,1,0
Current State: 46:[5, 51], Operations: ['70/14=5', '56-5=51']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
92,
74,
87,
6
] | 21 | [
"92-74=18",
"6*18=108",
"108-87=21"
] | Current State: 21:[92, 74, 87, 6], Operations: []
Exploring Operation: 92-74=18, Resulting Numbers: [87, 6, 18]
Generated Node #2: [87, 6, 18] from Operation: 92-74=18
Current State: 21:[87, 6, 18], Operations: ['92-74=18']
Exploring Operation: 6*18=108, Resulting Numbers: [87, 108]
Generated Node #3: [87, 108] from Operation: 6*18=108
Current State: 21:[87, 108], Operations: ['92-74=18', '6*18=108']
Exploring Operation: 108-87=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[92, 74, 87, 6], Operations: []
Exploring Operation: 87-74=13, Resulting Numbers: [92, 6, 13]
Generated Node #0,0: 21:[92, 6, 13] Operation: 87-74=13
Exploring Operation: 74-6=68, Resulting Numbers: [92, 87, 68]
Generated Node #0,1: 21:[92, 87, 68] Operation: 74-6=68
Exploring Operation: 92-74=18, Resulting Numbers: [87, 6, 18]
Generated Node #0,2: 21:[87, 6, 18] Operation: 92-74=18
Exploring Operation: 92-6=86, Resulting Numbers: [74, 87, 86]
Generated Node #0,3: 21:[74, 87, 86] Operation: 92-6=86
Exploring Operation: 92-87=5, Resulting Numbers: [74, 6, 5]
Generated Node #0,4: 21:[74, 6, 5] Operation: 92-87=5
Start Sub Search at level 1: Moving to Node #0,4
Current State: 21:[74, 6, 5], Operations: ['92-87=5']
Exploring Operation: 74-6=68, Resulting Numbers: [5, 68]
Generated Node #0,4,0: 21:[5, 68] Operation: 74-6=68
Exploring Operation: 6-5=1, Resulting Numbers: [74, 1]
Generated Node #0,4,1: 21:[74, 1] Operation: 6-5=1
Exploring Operation: 74-5=69, Resulting Numbers: [6, 69]
Generated Node #0,4,2: 21:[6, 69] Operation: 74-5=69
Exploring Operation: 74+5=79, Resulting Numbers: [6, 79]
Generated Node #0,4,3: 21:[6, 79] Operation: 74+5=79
Exploring Operation: 6+5=11, Resulting Numbers: [74, 11]
Generated Node #0,4,4: 21:[74, 11] Operation: 6+5=11
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 21:[5, 68], Operations: ['92-87=5', '74-6=68']
Exploring Operation: 5+68=73, Resulting Numbers: [73]
73,21 unequal: No Solution
Exploring Operation: 5*68=340, Resulting Numbers: [340]
340,21 unequal: No Solution
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,21 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 #0,4,2
Current State: 21:[6, 69], Operations: ['92-87=5', '74-5=69']
Exploring Operation: 6+69=75, Resulting Numbers: [75]
75,21 unequal: No Solution
Exploring Operation: 6*69=414, Resulting Numbers: [414]
414,21 unequal: No Solution
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,21 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 #0,4,1
Current State: 21:[74, 1], Operations: ['92-87=5', '6-5=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,21 unequal: No Solution
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,21 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,21 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 #0,4,4
Current State: 21:[74, 11], Operations: ['92-87=5', '6+5=11']
Exploring Operation: 74+11=85, Resulting Numbers: [85]
85,21 unequal: No Solution
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,21 unequal: No Solution
Exploring Operation: 74*11=814, Resulting Numbers: [814]
814,21 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 #0,4,3
Current State: 21:[6, 79], Operations: ['92-87=5', '74+5=79']
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,21 unequal: No Solution
Exploring Operation: 6+79=85, Resulting Numbers: [85]
85,21 unequal: No Solution
Exploring Operation: 6*79=474, Resulting Numbers: [474]
474,21 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 #0,2
Current State: 21:[87, 6, 18], Operations: ['92-74=18']
Exploring Operation: 18-6=12, Resulting Numbers: [87, 12]
Generated Node #0,2,0: 21:[87, 12] Operation: 18-6=12
Exploring Operation: 87-6=81, Resulting Numbers: [18, 81]
Generated Node #0,2,1: 21:[18, 81] Operation: 87-6=81
Exploring Operation: 87-18=69, Resulting Numbers: [6, 69]
Generated Node #0,2,2: 21:[6, 69] Operation: 87-18=69
Exploring Operation: 6+18=24, Resulting Numbers: [87, 24]
Generated Node #0,2,3: 21:[87, 24] Operation: 6+18=24
Exploring Operation: 18/6=3, Resulting Numbers: [87, 3]
Generated Node #0,2,4: 21:[87, 3] Operation: 18/6=3
Moving to Node #0,2,2
Current State: 21:[6, 69], Operations: ['92-74=18', '87-18=69']
Exploring Operation: 6*69=414, Resulting Numbers: [414]
414,21 unequal: No Solution
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,21 unequal: No Solution
Exploring Operation: 6+69=75, Resulting Numbers: [75]
75,21 unequal: No Solution
Moving to Node #0,2,1
Current State: 21:[18, 81], Operations: ['92-74=18', '87-6=81']
Exploring Operation: 18*81=1458, Resulting Numbers: [1458]
1458,21 unequal: No Solution
Exploring Operation: 18+81=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Exploring Operation: 81-18=63, Resulting Numbers: [63]
63,21 unequal: No Solution
Moving to Node #0,2,4
Current State: 21:[87, 3], Operations: ['92-74=18', '18/6=3']
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,21 unequal: No Solution
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,21 unequal: No Solution
Exploring Operation: 87*3=261, Resulting Numbers: [261]
261,21 unequal: No Solution
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Moving to Node #0,2,3
Current State: 21:[87, 24], Operations: ['92-74=18', '6+18=24']
Exploring Operation: 87*24=2088, Resulting Numbers: [2088]
2088,21 unequal: No Solution
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,21 unequal: No Solution
Exploring Operation: 87+24=111, Resulting Numbers: [111]
111,21 unequal: No Solution
Moving to Node #0,2,0
Current State: 21:[87, 12], Operations: ['92-74=18', '18-6=12']
Exploring Operation: 87+12=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Exploring Operation: 87*12=1044, Resulting Numbers: [1044]
1044,21 unequal: No Solution
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,21 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
Current State: 21:[92, 6, 13], Operations: ['87-74=13']
Exploring Operation: 6+13=19, Resulting Numbers: [92, 19]
Generated Node #0,0,0: 21:[92, 19] Operation: 6+13=19
Exploring Operation: 13-6=7, Resulting Numbers: [92, 7]
Generated Node #0,0,1: 21:[92, 7] Operation: 13-6=7
Exploring Operation: 92-6=86, Resulting Numbers: [13, 86]
Generated Node #0,0,2: 21:[13, 86] Operation: 92-6=86
Exploring Operation: 92+6=98, Resulting Numbers: [13, 98]
Generated Node #0,0,3: 21:[13, 98] Operation: 92+6=98
Exploring Operation: 92-13=79, Resulting Numbers: [6, 79]
Generated Node #0,0,4: 21:[6, 79] Operation: 92-13=79
Moving to Node #0,0,4
Current State: 21:[6, 79], Operations: ['87-74=13', '92-13=79']
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,21 unequal: No Solution
Exploring Operation: 6*79=474, Resulting Numbers: [474]
474,21 unequal: No Solution
Exploring Operation: 6+79=85, Resulting Numbers: [85]
85,21 unequal: No Solution
Moving to Node #0,0,2
Current State: 21:[13, 86], Operations: ['87-74=13', '92-6=86']
Exploring Operation: 13*86=1118, Resulting Numbers: [1118]
1118,21 unequal: No Solution
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,21 unequal: No Solution
Exploring Operation: 13+86=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[92, 7], Operations: ['87-74=13', '13-6=7']
Exploring Operation: 92+7=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,21 unequal: No Solution
Exploring Operation: 92*7=644, Resulting Numbers: [644]
644,21 unequal: No Solution
Moving to Node #0,0,0
Current State: 21:[92, 19], Operations: ['87-74=13', '6+13=19']
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,21 unequal: No Solution
Exploring Operation: 92+19=111, Resulting Numbers: [111]
111,21 unequal: No Solution
Exploring Operation: 92*19=1748, Resulting Numbers: [1748]
1748,21 unequal: No Solution
Moving to Node #0,0,3
Current State: 21:[13, 98], Operations: ['87-74=13', '92+6=98']
Exploring Operation: 13*98=1274, Resulting Numbers: [1274]
1274,21 unequal: No Solution
Exploring Operation: 13+98=111, Resulting Numbers: [111]
111,21 unequal: No Solution
Exploring Operation: 98-13=85, Resulting Numbers: [85]
85,21 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:[92, 87, 68], Operations: ['74-6=68']
Exploring Operation: 92-68=24, Resulting Numbers: [87, 24]
Generated Node #0,1,0: 21:[87, 24] Operation: 92-68=24
Exploring Operation: 92+68=160, Resulting Numbers: [87, 160]
Generated Node #0,1,1: 21:[87, 160] Operation: 92+68=160
Exploring Operation: 92-87=5, Resulting Numbers: [68, 5]
Generated Node #0,1,2: 21:[68, 5] Operation: 92-87=5
Exploring Operation: 92+87=179, Resulting Numbers: [68, 179]
Generated Node #0,1,3: 21:[68, 179] Operation: 92+87=179
Exploring Operation: 87-68=19, Resulting Numbers: [92, 19]
Generated Node #0,1,4: 21:[92, 19] Operation: 87-68=19
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 21:[68, 5], Operations: ['74-6=68', '92-87=5']
Exploring Operation: 68+5=73, Resulting Numbers: [73]
73,21 unequal: No Solution
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,21 unequal: No Solution
Exploring Operation: 68*5=340, Resulting Numbers: [340]
340,21 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 #0,1,0
Current State: 21:[87, 24], Operations: ['74-6=68', '92-68=24']
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,21 unequal: No Solution
Exploring Operation: 87*24=2088, Resulting Numbers: [2088]
2088,21 unequal: No Solution
Exploring Operation: 87+24=111, Resulting Numbers: [111]
111,21 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 #0,1,4
Current State: 21:[92, 19], Operations: ['74-6=68', '87-68=19']
Exploring Operation: 92+19=111, Resulting Numbers: [111]
111,21 unequal: No Solution
Exploring Operation: 92*19=1748, Resulting Numbers: [1748]
1748,21 unequal: No Solution
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,21 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 #0,1,1
Current State: 21:[87, 160], Operations: ['74-6=68', '92+68=160']
Exploring Operation: 160-87=73, Resulting Numbers: [73]
73,21 unequal: No Solution
Exploring Operation: 87+160=247, Resulting Numbers: [247]
247,21 unequal: No Solution
Exploring Operation: 87*160=13920, Resulting Numbers: [13920]
13920,21 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 #0,1,3
Current State: 21:[68, 179], Operations: ['74-6=68', '92+87=179']
Exploring Operation: 179-68=111, Resulting Numbers: [111]
111,21 unequal: No Solution
Exploring Operation: 68+179=247, Resulting Numbers: [247]
247,21 unequal: No Solution
Exploring Operation: 68*179=12172, Resulting Numbers: [12172]
12172,21 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:[74, 87, 86], Operations: ['92-6=86']
Exploring Operation: 87-74=13, Resulting Numbers: [86, 13]
Generated Node #0,3,0: 21:[86, 13] Operation: 87-74=13
Exploring Operation: 87-86=1, Resulting Numbers: [74, 1]
Generated Node #0,3,1: 21:[74, 1] Operation: 87-86=1
Exploring Operation: 74+86=160, Resulting Numbers: [87, 160]
Generated Node #0,3,2: 21:[87, 160] Operation: 74+86=160
Exploring Operation: 74+87=161, Resulting Numbers: [86, 161]
Generated Node #0,3,3: 21:[86, 161] Operation: 74+87=161
Exploring Operation: 86-74=12, Resulting Numbers: [87, 12]
Generated Node #0,3,4: 21:[87, 12] Operation: 86-74=12
Moving to Node #0,3,1
Current State: 21:[74, 1], Operations: ['92-6=86', '87-86=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,21 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,21 unequal: No Solution
Moving to Node #0,3,4
Current State: 21:[87, 12], Operations: ['92-6=86', '86-74=12']
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,21 unequal: No Solution
Exploring Operation: 87+12=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Exploring Operation: 87*12=1044, Resulting Numbers: [1044]
1044,21 unequal: No Solution
Moving to Node #0,3,0
Current State: 21:[86, 13], Operations: ['92-6=86', '87-74=13']
Exploring Operation: 86*13=1118, Resulting Numbers: [1118]
1118,21 unequal: No Solution
Exploring Operation: 86+13=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,21 unequal: No Solution
Moving to Node #0,3,2
Current State: 21:[87, 160], Operations: ['92-6=86', '74+86=160']
Exploring Operation: 87*160=13920, Resulting Numbers: [13920]
13920,21 unequal: No Solution
Exploring Operation: 160-87=73, Resulting Numbers: [73]
73,21 unequal: No Solution
Exploring Operation: 87+160=247, Resulting Numbers: [247]
247,21 unequal: No Solution
Moving to Node #0,3,3
Current State: 21:[86, 161], Operations: ['92-6=86', '74+87=161']
Exploring Operation: 161-86=75, Resulting Numbers: [75]
75,21 unequal: No Solution
Exploring Operation: 86+161=247, Resulting Numbers: [247]
247,21 unequal: No Solution
Exploring Operation: 86*161=13846, Resulting Numbers: [13846]
13846,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
32,
31,
53,
97
] | 44 | [
"32-31=1",
"97-53=44",
"1*44=44"
] | Current State: 44:[32, 31, 53, 97], Operations: []
Exploring Operation: 32-31=1, Resulting Numbers: [53, 97, 1]
Generated Node #2: [53, 97, 1] from Operation: 32-31=1
Current State: 44:[53, 97, 1], Operations: ['32-31=1']
Exploring Operation: 97-53=44, Resulting Numbers: [1, 44]
Generated Node #3: [1, 44] from Operation: 97-53=44
Current State: 44:[1, 44], Operations: ['32-31=1', '97-53=44']
Exploring Operation: 1*44=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[32, 31, 53, 97], Operations: []
Exploring Operation: 97-53=44, Resulting Numbers: [32, 31, 44]
Generated Node #0,0: 44:[32, 31, 44] Operation: 97-53=44
Exploring Operation: 97-32=65, Resulting Numbers: [31, 53, 65]
Generated Node #0,1: 44:[31, 53, 65] Operation: 97-32=65
Moving to Node #0,0
Current State: 44:[32, 31, 44], Operations: ['97-53=44']
Exploring Operation: 44-32=12, Resulting Numbers: [31, 12]
Generated Node #0,0,0: 44:[31, 12] Operation: 44-32=12
Exploring Operation: 32-31=1, Resulting Numbers: [44, 1]
Generated Node #0,0,1: 44:[44, 1] Operation: 32-31=1
Moving to Node #0,1
Current State: 44:[31, 53, 65], Operations: ['97-32=65']
Exploring Operation: 65-53=12, Resulting Numbers: [31, 12]
Generated Node #0,1,0: 44:[31, 12] Operation: 65-53=12
Exploring Operation: 65-31=34, Resulting Numbers: [53, 34]
Generated Node #0,1,1: 44:[53, 34] Operation: 65-31=34
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 44:[31, 12], Operations: ['97-32=65', '65-53=12']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[53, 34], Operations: ['97-32=65', '65-31=34']
Exploring Operation: 53-34=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 53+34=87, Resulting Numbers: [87]
87,44 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: 44:[44, 1], Operations: ['97-53=44', '32-31=1']
Exploring Operation: 44/1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[32, 31, 53, 97], Operations: []
Exploring Operation: 97-53=44, Resulting Numbers: [32, 31, 44]
Generated Node #0,0: 44:[32, 31, 44] Operation: 97-53=44
Moving to Node #0,0
Current State: 44:[32, 31, 44], Operations: ['97-53=44']
Exploring Operation: 32-31=1, Resulting Numbers: [44, 1]
Generated Node #0,0,1: 44:[44, 1] Operation: 32-31=1
Moving to Node #0,0,1
Current State: 44:[44, 1], Operations: ['97-53=44', '32-31=1']
Exploring Operation: 44/1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
30,
76,
26,
46
] | 27 | [
"76-30=46",
"46/46=1",
"26+1=27"
] | Current State: 27:[30, 76, 26, 46], Operations: []
Exploring Operation: 76-30=46, Resulting Numbers: [26, 46, 46]
Generated Node #2: [26, 46, 46] from Operation: 76-30=46
Current State: 27:[26, 46, 46], Operations: ['76-30=46']
Exploring Operation: 46/46=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 46/46=1
Current State: 27:[26, 1], Operations: ['76-30=46', '46/46=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[30, 76, 26, 46], Operations: []
Exploring Operation: 76-26=50, Resulting Numbers: [30, 46, 50]
Generated Node #0,0: 27:[30, 46, 50] Operation: 76-26=50
Exploring Operation: 46-30=16, Resulting Numbers: [76, 26, 16]
Generated Node #0,1: 27:[76, 26, 16] Operation: 46-30=16
Exploring Operation: 76-46=30, Resulting Numbers: [30, 26, 30]
Generated Node #0,2: 27:[30, 26, 30] Operation: 76-46=30
Exploring Operation: 76-30=46, Resulting Numbers: [26, 46, 46]
Generated Node #0,3: 27:[26, 46, 46] Operation: 76-30=46
Moving to Node #0,2
Current State: 27:[30, 26, 30], Operations: ['76-46=30']
Exploring Operation: 30-26=4, Resulting Numbers: [30, 4]
Generated Node #0,2,0: 27:[30, 4] Operation: 30-26=4
Exploring Operation: 30-30=0, Resulting Numbers: [26, 0]
Generated Node #0,2,1: 27:[26, 0] Operation: 30-30=0
Exploring Operation: 30/30=1, Resulting Numbers: [26, 1]
Generated Node #0,2,2: 27:[26, 1] Operation: 30/30=1
Exploring Operation: 30-26=4, Resulting Numbers: [30, 4]
Generated Node #0,2,3: 27:[30, 4] Operation: 30-26=4
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 27:[26, 1], Operations: ['76-46=30', '30/30=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,27 unequal: No Solution
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[30, 76, 26, 46], Operations: []
Exploring Operation: 76-46=30, Resulting Numbers: [30, 26, 30]
Generated Node #0,2: 27:[30, 26, 30] Operation: 76-46=30
Moving to Node #0,2
Current State: 27:[30, 26, 30], Operations: ['76-46=30']
Exploring Operation: 30/30=1, Resulting Numbers: [26, 1]
Generated Node #0,2,2: 27:[26, 1] Operation: 30/30=1
Moving to Node #0,2,2
Current State: 27:[26, 1], Operations: ['76-46=30', '30/30=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
96,
35,
26,
19
] | 68 | [
"96-35=61",
"26-19=7",
"61+7=68"
] | Current State: 68:[96, 35, 26, 19], Operations: []
Exploring Operation: 96-35=61, Resulting Numbers: [26, 19, 61]
Generated Node #2: [26, 19, 61] from Operation: 96-35=61
Current State: 68:[26, 19, 61], Operations: ['96-35=61']
Exploring Operation: 26-19=7, Resulting Numbers: [61, 7]
Generated Node #3: [61, 7] from Operation: 26-19=7
Current State: 68:[61, 7], Operations: ['96-35=61', '26-19=7']
Exploring Operation: 61+7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[96, 35, 26, 19], Operations: []
Exploring Operation: 96-19=77, Resulting Numbers: [35, 26, 77]
Generated Node #0,0: 68:[35, 26, 77] Operation: 96-19=77
Exploring Operation: 35-26=9, Resulting Numbers: [96, 19, 9]
Generated Node #0,1: 68:[96, 19, 9] Operation: 35-26=9
Exploring Operation: 96-35=61, Resulting Numbers: [26, 19, 61]
Generated Node #0,2: 68:[26, 19, 61] Operation: 96-35=61
Exploring Operation: 96-26=70, Resulting Numbers: [35, 19, 70]
Generated Node #0,3: 68:[35, 19, 70] Operation: 96-26=70
Exploring Operation: 26-19=7, Resulting Numbers: [96, 35, 7]
Generated Node #0,4: 68:[96, 35, 7] Operation: 26-19=7
Moving to Node #0,3
Current State: 68:[35, 19, 70], Operations: ['96-26=70']
Exploring Operation: 70-35=35, Resulting Numbers: [19, 35]
Generated Node #0,3,0: 68:[19, 35] Operation: 70-35=35
Exploring Operation: 35-19=16, Resulting Numbers: [70, 16]
Generated Node #0,3,1: 68:[70, 16] Operation: 35-19=16
Exploring Operation: 70-19=51, Resulting Numbers: [35, 51]
Generated Node #0,3,2: 68:[35, 51] Operation: 70-19=51
Exploring Operation: 70/35=2, Resulting Numbers: [19, 2]
Generated Node #0,3,3: 68:[19, 2] Operation: 70/35=2
Exploring Operation: 35+19=54, Resulting Numbers: [70, 54]
Generated Node #0,3,4: 68:[70, 54] Operation: 35+19=54
Moving to Node #0,2
Current State: 68:[26, 19, 61], Operations: ['96-35=61']
Exploring Operation: 19+61=80, Resulting Numbers: [26, 80]
Generated Node #0,2,0: 68:[26, 80] Operation: 19+61=80
Exploring Operation: 26+19=45, Resulting Numbers: [61, 45]
Generated Node #0,2,1: 68:[61, 45] Operation: 26+19=45
Exploring Operation: 61-26=35, Resulting Numbers: [19, 35]
Generated Node #0,2,2: 68:[19, 35] Operation: 61-26=35
Exploring Operation: 61-19=42, Resulting Numbers: [26, 42]
Generated Node #0,2,3: 68:[26, 42] Operation: 61-19=42
Exploring Operation: 26-19=7, Resulting Numbers: [61, 7]
Generated Node #0,2,4: 68:[61, 7] Operation: 26-19=7
Moving to Node #0,0
Current State: 68:[35, 26, 77], Operations: ['96-19=77']
Exploring Operation: 35+26=61, Resulting Numbers: [77, 61]
Generated Node #0,0,0: 68:[77, 61] Operation: 35+26=61
Exploring Operation: 35-26=9, Resulting Numbers: [77, 9]
Generated Node #0,0,1: 68:[77, 9] Operation: 35-26=9
Exploring Operation: 77-35=42, Resulting Numbers: [26, 42]
Generated Node #0,0,2: 68:[26, 42] Operation: 77-35=42
Exploring Operation: 77-26=51, Resulting Numbers: [35, 51]
Generated Node #0,0,3: 68:[35, 51] Operation: 77-26=51
Exploring Operation: 26+77=103, Resulting Numbers: [35, 103]
Generated Node #0,0,4: 68:[35, 103] Operation: 26+77=103
Moving to Node #0,4
Current State: 68:[96, 35, 7], Operations: ['26-19=7']
Exploring Operation: 96-7=89, Resulting Numbers: [35, 89]
Generated Node #0,4,0: 68:[35, 89] Operation: 96-7=89
Exploring Operation: 96+7=103, Resulting Numbers: [35, 103]
Generated Node #0,4,1: 68:[35, 103] Operation: 96+7=103
Exploring Operation: 96-35=61, Resulting Numbers: [7, 61]
Generated Node #0,4,2: 68:[7, 61] Operation: 96-35=61
Exploring Operation: 35-7=28, Resulting Numbers: [96, 28]
Generated Node #0,4,3: 68:[96, 28] Operation: 35-7=28
Exploring Operation: 35/7=5, Resulting Numbers: [96, 5]
Generated Node #0,4,4: 68:[96, 5] Operation: 35/7=5
Moving to Node #0,1
Current State: 68:[96, 19, 9], Operations: ['35-26=9']
Exploring Operation: 19-9=10, Resulting Numbers: [96, 10]
Generated Node #0,1,0: 68:[96, 10] Operation: 19-9=10
Exploring Operation: 19+9=28, Resulting Numbers: [96, 28]
Generated Node #0,1,1: 68:[96, 28] Operation: 19+9=28
Exploring Operation: 96-9=87, Resulting Numbers: [19, 87]
Generated Node #0,1,2: 68:[19, 87] Operation: 96-9=87
Exploring Operation: 96+9=105, Resulting Numbers: [19, 105]
Generated Node #0,1,3: 68:[19, 105] Operation: 96+9=105
Exploring Operation: 96-19=77, Resulting Numbers: [9, 77]
Generated Node #0,1,4: 68:[9, 77] Operation: 96-19=77
Moving to Node #0,3,3
Current State: 68:[19, 2], Operations: ['96-26=70', '70/35=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,68 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Moving to Node #0,3,1
Current State: 68:[70, 16], Operations: ['96-26=70', '35-19=16']
Exploring Operation: 70+16=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Exploring Operation: 70*16=1120, Resulting Numbers: [1120]
1120,68 unequal: No Solution
Exploring Operation: 70-16=54, Resulting Numbers: [54]
54,68 unequal: No Solution
Moving to Node #0,2,2
Current State: 68:[19, 35], Operations: ['96-35=61', '61-26=35']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,68 unequal: No Solution
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,68 unequal: No Solution
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,68 unequal: No Solution
Moving to Node #0,3,0
Current State: 68:[19, 35], Operations: ['96-26=70', '70-35=35']
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,68 unequal: No Solution
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,68 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,68 unequal: No Solution
Moving to Node #0,2,4
Current State: 68:[61, 7], Operations: ['96-35=61', '26-19=7']
Exploring Operation: 61+7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[96, 35, 26, 19], Operations: []
Exploring Operation: 96-35=61, Resulting Numbers: [26, 19, 61]
Generated Node #0,2: 68:[26, 19, 61] Operation: 96-35=61
Moving to Node #0,2
Current State: 68:[26, 19, 61], Operations: ['96-35=61']
Exploring Operation: 26-19=7, Resulting Numbers: [61, 7]
Generated Node #0,2,4: 68:[61, 7] Operation: 26-19=7
Moving to Node #0,2,4
Current State: 68:[61, 7], Operations: ['96-35=61', '26-19=7']
Exploring Operation: 61+7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.959201 | hs_5 | sum_heuristic |
[
15,
60,
78,
70
] | 37 | [
"60-15=45",
"78-70=8",
"45-8=37"
] | Current State: 37:[15, 60, 78, 70], Operations: []
Exploring Operation: 60-15=45, Resulting Numbers: [78, 70, 45]
Generated Node #2: [78, 70, 45] from Operation: 60-15=45
Current State: 37:[78, 70, 45], Operations: ['60-15=45']
Exploring Operation: 78-70=8, Resulting Numbers: [45, 8]
Generated Node #3: [45, 8] from Operation: 78-70=8
Current State: 37:[45, 8], Operations: ['60-15=45', '78-70=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[15, 60, 78, 70], Operations: []
Exploring Operation: 78-60=18, Resulting Numbers: [15, 70, 18]
Generated Node #0,0: 37:[15, 70, 18] Operation: 78-60=18
Exploring Operation: 60-15=45, Resulting Numbers: [78, 70, 45]
Generated Node #0,1: 37:[78, 70, 45] Operation: 60-15=45
Exploring Operation: 78-70=8, Resulting Numbers: [15, 60, 8]
Generated Node #0,2: 37:[15, 60, 8] Operation: 78-70=8
Exploring Operation: 78-15=63, Resulting Numbers: [60, 70, 63]
Generated Node #0,3: 37:[60, 70, 63] Operation: 78-15=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[15, 70, 18], Operations: ['78-60=18']
Exploring Operation: 70-18=52, Resulting Numbers: [15, 52]
Generated Node #0,0,0: 37:[15, 52] Operation: 70-18=52
Exploring Operation: 15+70=85, Resulting Numbers: [18, 85]
Generated Node #0,0,1: 37:[18, 85] Operation: 15+70=85
Exploring Operation: 70-15=55, Resulting Numbers: [18, 55]
Generated Node #0,0,2: 37:[18, 55] Operation: 70-15=55
Exploring Operation: 15+18=33, Resulting Numbers: [70, 33]
Generated Node #0,0,3: 37:[70, 33] Operation: 15+18=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[15, 52], Operations: ['78-60=18', '70-18=52']
Exploring Operation: 15+52=67, Resulting Numbers: [67]
67,37 unequal: No Solution
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[15, 60, 78, 70], Operations: []
Exploring Operation: 78-60=18, Resulting Numbers: [15, 70, 18]
Generated Node #0,0: 37:[15, 70, 18] Operation: 78-60=18
Moving to Node #0,0
Current State: 37:[15, 70, 18], Operations: ['78-60=18']
Exploring Operation: 70-18=52, Resulting Numbers: [15, 52]
Generated Node #0,0,0: 37:[15, 52] Operation: 70-18=52
Moving to Node #0,0,0
Current State: 37:[15, 52], Operations: ['78-60=18', '70-18=52']
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
45,
23,
26,
62
] | 51 | [
"62-45=17",
"26-23=3",
"17*3=51"
] | Current State: 51:[45, 23, 26, 62], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [23, 26, 17]
Generated Node #2: [23, 26, 17] from Operation: 62-45=17
Current State: 51:[23, 26, 17], Operations: ['62-45=17']
Exploring Operation: 26-23=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 26-23=3
Current State: 51:[17, 3], Operations: ['62-45=17', '26-23=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[45, 23, 26, 62], Operations: []
Exploring Operation: 45-26=19, Resulting Numbers: [23, 62, 19]
Generated Node #0,0: 51:[23, 62, 19] Operation: 45-26=19
Exploring Operation: 26-23=3, Resulting Numbers: [45, 62, 3]
Generated Node #0,1: 51:[45, 62, 3] Operation: 26-23=3
Exploring Operation: 62-45=17, Resulting Numbers: [23, 26, 17]
Generated Node #0,2: 51:[23, 26, 17] Operation: 62-45=17
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[23, 26, 17], Operations: ['62-45=17']
Exploring Operation: 23+26=49, Resulting Numbers: [17, 49]
Generated Node #0,2,0: 51:[17, 49] Operation: 23+26=49
Exploring Operation: 26-23=3, Resulting Numbers: [17, 3]
Generated Node #0,2,1: 51:[17, 3] Operation: 26-23=3
Exploring Operation: 23-17=6, Resulting Numbers: [26, 6]
Generated Node #0,2,2: 51:[26, 6] Operation: 23-17=6
Moving to Node #0,2,1
Current State: 51:[17, 3], Operations: ['62-45=17', '26-23=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[45, 23, 26, 62], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [23, 26, 17]
Generated Node #0,2: 51:[23, 26, 17] Operation: 62-45=17
Moving to Node #0,2
Current State: 51:[23, 26, 17], Operations: ['62-45=17']
Exploring Operation: 26-23=3, Resulting Numbers: [17, 3]
Generated Node #0,2,1: 51:[17, 3] Operation: 26-23=3
Moving to Node #0,2,1
Current State: 51:[17, 3], Operations: ['62-45=17', '26-23=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
37,
23,
24,
21
] | 57 | [
"37+23=60",
"24-21=3",
"60-3=57"
] | Current State: 57:[37, 23, 24, 21], Operations: []
Exploring Operation: 37+23=60, Resulting Numbers: [24, 21, 60]
Generated Node #2: [24, 21, 60] from Operation: 37+23=60
Current State: 57:[24, 21, 60], Operations: ['37+23=60']
Exploring Operation: 24-21=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 24-21=3
Current State: 57:[60, 3], Operations: ['37+23=60', '24-21=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[37, 23, 24, 21], Operations: []
Exploring Operation: 37+23=60, Resulting Numbers: [24, 21, 60]
Generated Node #0,0: 57:[24, 21, 60] Operation: 37+23=60
Moving to Node #0,0
Current State: 57:[24, 21, 60], Operations: ['37+23=60']
Exploring Operation: 24-21=3, Resulting Numbers: [60, 3]
Generated Node #0,0,0: 57:[60, 3] Operation: 24-21=3
Moving to Node #0,0,0
Current State: 57:[60, 3], Operations: ['37+23=60', '24-21=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[37, 23, 24, 21], Operations: []
Exploring Operation: 37+23=60, Resulting Numbers: [24, 21, 60]
Generated Node #0,0: 57:[24, 21, 60] Operation: 37+23=60
Moving to Node #0,0
Current State: 57:[24, 21, 60], Operations: ['37+23=60']
Exploring Operation: 24-21=3, Resulting Numbers: [60, 3]
Generated Node #0,0,0: 57:[60, 3] Operation: 24-21=3
Moving to Node #0,0,0
Current State: 57:[60, 3], Operations: ['37+23=60', '24-21=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
88,
24,
94,
98
] | 68 | [
"88-24=64",
"98-94=4",
"64+4=68"
] | Current State: 68:[88, 24, 94, 98], Operations: []
Exploring Operation: 88-24=64, Resulting Numbers: [94, 98, 64]
Generated Node #2: [94, 98, 64] from Operation: 88-24=64
Current State: 68:[94, 98, 64], Operations: ['88-24=64']
Exploring Operation: 98-94=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 98-94=4
Current State: 68:[64, 4], Operations: ['88-24=64', '98-94=4']
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[88, 24, 94, 98], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [24, 98, 6]
Generated Node #0,0: 68:[24, 98, 6] Operation: 94-88=6
Exploring Operation: 94-24=70, Resulting Numbers: [88, 98, 70]
Generated Node #0,1: 68:[88, 98, 70] Operation: 94-24=70
Exploring Operation: 98-88=10, Resulting Numbers: [24, 94, 10]
Generated Node #0,2: 68:[24, 94, 10] Operation: 98-88=10
Exploring Operation: 98-94=4, Resulting Numbers: [88, 24, 4]
Generated Node #0,3: 68:[88, 24, 4] Operation: 98-94=4
Moving to Node #0,3
Current State: 68:[88, 24, 4], Operations: ['98-94=4']
Exploring Operation: 88-24=64, Resulting Numbers: [4, 64]
Generated Node #0,3,0: 68:[4, 64] Operation: 88-24=64
Exploring Operation: 24/4=6, Resulting Numbers: [88, 6]
Generated Node #0,3,1: 68:[88, 6] Operation: 24/4=6
Exploring Operation: 88-4=84, Resulting Numbers: [24, 84]
Generated Node #0,3,2: 68:[24, 84] Operation: 88-4=84
Exploring Operation: 88/4=22, Resulting Numbers: [24, 22]
Generated Node #0,3,3: 68:[24, 22] Operation: 88/4=22
Moving to Node #0,2
Current State: 68:[24, 94, 10], Operations: ['98-88=10']
Exploring Operation: 94-10=84, Resulting Numbers: [24, 84]
Generated Node #0,2,0: 68:[24, 84] Operation: 94-10=84
Exploring Operation: 24+10=34, Resulting Numbers: [94, 34]
Generated Node #0,2,1: 68:[94, 34] Operation: 24+10=34
Exploring Operation: 94-24=70, Resulting Numbers: [10, 70]
Generated Node #0,2,2: 68:[10, 70] Operation: 94-24=70
Exploring Operation: 24-10=14, Resulting Numbers: [94, 14]
Generated Node #0,2,3: 68:[94, 14] Operation: 24-10=14
Moving to Node #0,0
Current State: 68:[24, 98, 6], Operations: ['94-88=6']
Exploring Operation: 98-24=74, Resulting Numbers: [6, 74]
Generated Node #0,0,0: 68:[6, 74] Operation: 98-24=74
Exploring Operation: 24/6=4, Resulting Numbers: [98, 4]
Generated Node #0,0,1: 68:[98, 4] Operation: 24/6=4
Exploring Operation: 24-6=18, Resulting Numbers: [98, 18]
Generated Node #0,0,2: 68:[98, 18] Operation: 24-6=18
Exploring Operation: 98-6=92, Resulting Numbers: [24, 92]
Generated Node #0,0,3: 68:[24, 92] Operation: 98-6=92
Moving to Node #0,1
Current State: 68:[88, 98, 70], Operations: ['94-24=70']
Exploring Operation: 88+98=186, Resulting Numbers: [70, 186]
Generated Node #0,1,0: 68:[70, 186] Operation: 88+98=186
Exploring Operation: 98-88=10, Resulting Numbers: [70, 10]
Generated Node #0,1,1: 68:[70, 10] Operation: 98-88=10
Exploring Operation: 98-70=28, Resulting Numbers: [88, 28]
Generated Node #0,1,2: 68:[88, 28] Operation: 98-70=28
Exploring Operation: 88-70=18, Resulting Numbers: [98, 18]
Generated Node #0,1,3: 68:[98, 18] Operation: 88-70=18
Moving to Node #0,3,0
Current State: 68:[4, 64], Operations: ['98-94=4', '88-24=64']
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,68 unequal: No Solution
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[88, 24, 94, 98], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [88, 24, 4]
Generated Node #0,3: 68:[88, 24, 4] Operation: 98-94=4
Moving to Node #0,3
Current State: 68:[88, 24, 4], Operations: ['98-94=4']
Exploring Operation: 88-24=64, Resulting Numbers: [4, 64]
Generated Node #0,3,0: 68:[4, 64] Operation: 88-24=64
Moving to Node #0,3,0
Current State: 68:[4, 64], Operations: ['98-94=4', '88-24=64']
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.977431 | hs_4 | sum_heuristic |
[
74,
72,
17,
88
] | 75 | [
"74+72=146",
"88-17=71",
"146-71=75"
] | Current State: 75:[74, 72, 17, 88], Operations: []
Exploring Operation: 74+72=146, Resulting Numbers: [17, 88, 146]
Generated Node #2: [17, 88, 146] from Operation: 74+72=146
Current State: 75:[17, 88, 146], Operations: ['74+72=146']
Exploring Operation: 88-17=71, Resulting Numbers: [146, 71]
Generated Node #3: [146, 71] from Operation: 88-17=71
Current State: 75:[146, 71], Operations: ['74+72=146', '88-17=71']
Exploring Operation: 146-71=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[74, 72, 17, 88], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [17, 88, 2]
Generated Node #0,0: 75:[17, 88, 2] Operation: 74-72=2
Exploring Operation: 88-74=14, Resulting Numbers: [72, 17, 14]
Generated Node #0,1: 75:[72, 17, 14] Operation: 88-74=14
Exploring Operation: 88-72=16, Resulting Numbers: [74, 17, 16]
Generated Node #0,2: 75:[74, 17, 16] Operation: 88-72=16
Exploring Operation: 88-17=71, Resulting Numbers: [74, 72, 71]
Generated Node #0,3: 75:[74, 72, 71] Operation: 88-17=71
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[74, 17, 16], Operations: ['88-72=16']
Exploring Operation: 74+17=91, Resulting Numbers: [16, 91]
Generated Node #0,2,0: 75:[16, 91] Operation: 74+17=91
Exploring Operation: 74+16=90, Resulting Numbers: [17, 90]
Generated Node #0,2,1: 75:[17, 90] Operation: 74+16=90
Exploring Operation: 17+16=33, Resulting Numbers: [74, 33]
Generated Node #0,2,2: 75:[74, 33] Operation: 17+16=33
Exploring Operation: 17-16=1, Resulting Numbers: [74, 1]
Generated Node #0,2,3: 75:[74, 1] Operation: 17-16=1
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 75:[74, 1], Operations: ['88-72=16', '17-16=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,75 unequal: No Solution
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[74, 72, 17, 88], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [74, 17, 16]
Generated Node #0,2: 75:[74, 17, 16] Operation: 88-72=16
Moving to Node #0,2
Current State: 75:[74, 17, 16], Operations: ['88-72=16']
Exploring Operation: 17-16=1, Resulting Numbers: [74, 1]
Generated Node #0,2,3: 75:[74, 1] Operation: 17-16=1
Moving to Node #0,2,3
Current State: 75:[74, 1], Operations: ['88-72=16', '17-16=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
54,
1,
17,
76
] | 73 | [
"1+17=18",
"54/18=3",
"76-3=73"
] | Current State: 73:[54, 1, 17, 76], Operations: []
Exploring Operation: 1+17=18, Resulting Numbers: [54, 76, 18]
Generated Node #2: [54, 76, 18] from Operation: 1+17=18
Current State: 73:[54, 76, 18], Operations: ['1+17=18']
Exploring Operation: 54/18=3, Resulting Numbers: [76, 3]
Generated Node #3: [76, 3] from Operation: 54/18=3
Current State: 73:[76, 3], Operations: ['1+17=18', '54/18=3']
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[54, 1, 17, 76], Operations: []
Exploring Operation: 54+1=55, Resulting Numbers: [17, 76, 55]
Generated Node #0,0: 73:[17, 76, 55] Operation: 54+1=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[17, 76, 55], Operations: ['54+1=55']
Exploring Operation: 17+55=72, Resulting Numbers: [76, 72]
Generated Node #0,0,0: 73:[76, 72] Operation: 17+55=72
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[76, 72], Operations: ['54+1=55', '17+55=72']
Exploring Operation: 76-72=4, Resulting Numbers: [4]
4,73 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 |
[
96,
94,
63,
76
] | 26 | [
"96-94=2",
"76-63=13",
"2*13=26"
] | Current State: 26:[96, 94, 63, 76], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [63, 76, 2]
Generated Node #2: [63, 76, 2] from Operation: 96-94=2
Current State: 26:[63, 76, 2], Operations: ['96-94=2']
Exploring Operation: 76-63=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 76-63=13
Current State: 26:[2, 13], Operations: ['96-94=2', '76-63=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[96, 94, 63, 76], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [63, 76, 2]
Generated Node #0,0: 26:[63, 76, 2] Operation: 96-94=2
Moving to Node #0,0
Current State: 26:[63, 76, 2], Operations: ['96-94=2']
Exploring Operation: 76-63=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 26:[2, 13] Operation: 76-63=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[2, 13], Operations: ['96-94=2', '76-63=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[96, 94, 63, 76], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [63, 76, 2]
Generated Node #0,0: 26:[63, 76, 2] Operation: 96-94=2
Moving to Node #0,0
Current State: 26:[63, 76, 2], Operations: ['96-94=2']
Exploring Operation: 76-63=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 26:[2, 13] Operation: 76-63=13
Moving to Node #0,0,0
Current State: 26:[2, 13], Operations: ['96-94=2', '76-63=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
68,
3,
74,
76
] | 68 | [
"3+74=77",
"77-76=1",
"68*1=68"
] | Current State: 68:[68, 3, 74, 76], Operations: []
Exploring Operation: 3+74=77, Resulting Numbers: [68, 76, 77]
Generated Node #2: [68, 76, 77] from Operation: 3+74=77
Current State: 68:[68, 76, 77], Operations: ['3+74=77']
Exploring Operation: 77-76=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 77-76=1
Current State: 68:[68, 1], Operations: ['3+74=77', '77-76=1']
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[68, 3, 74, 76], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [68, 3, 2]
Generated Node #0,0: 68:[68, 3, 2] Operation: 76-74=2
Exploring Operation: 74-68=6, Resulting Numbers: [3, 76, 6]
Generated Node #0,1: 68:[3, 76, 6] Operation: 74-68=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[68, 3, 2], Operations: ['76-74=2']
Exploring Operation: 68/2=34, Resulting Numbers: [3, 34]
Generated Node #0,0,0: 68:[3, 34] Operation: 68/2=34
Exploring Operation: 3+2=5, Resulting Numbers: [68, 5]
Generated Node #0,0,1: 68:[68, 5] Operation: 3+2=5
Moving to Node #0,0,0
Current State: 68:[3, 34], Operations: ['76-74=2', '68/2=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,68 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[68, 5], Operations: ['76-74=2', '3+2=5']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Exploring Operation: 68+5=73, Resulting Numbers: [73]
73,68 unequal: No Solution
No 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: 68:[3, 76, 6], Operations: ['74-68=6']
Exploring Operation: 76-6=70, Resulting Numbers: [3, 70]
Generated Node #0,1,0: 68:[3, 70] Operation: 76-6=70
Exploring Operation: 76-3=73, Resulting Numbers: [6, 73]
Generated Node #0,1,1: 68:[6, 73] Operation: 76-3=73
Moving to Node #0,1,0
Current State: 68:[3, 70], Operations: ['74-68=6', '76-6=70']
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,68 unequal: No Solution
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[6, 73], Operations: ['74-68=6', '76-3=73']
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,68 unequal: No Solution
Exploring Operation: 6+73=79, Resulting Numbers: [79]
79,68 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 |
[
55,
50,
2,
67
] | 89 | [
"67-50=17",
"2*17=34",
"55+34=89"
] | Current State: 89:[55, 50, 2, 67], Operations: []
Exploring Operation: 67-50=17, Resulting Numbers: [55, 2, 17]
Generated Node #2: [55, 2, 17] from Operation: 67-50=17
Current State: 89:[55, 2, 17], Operations: ['67-50=17']
Exploring Operation: 2*17=34, Resulting Numbers: [55, 34]
Generated Node #3: [55, 34] from Operation: 2*17=34
Current State: 89:[55, 34], Operations: ['67-50=17', '2*17=34']
Exploring Operation: 55+34=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[55, 50, 2, 67], Operations: []
Exploring Operation: 55*2=110, Resulting Numbers: [50, 67, 110]
Generated Node #0,0: 89:[50, 67, 110] Operation: 55*2=110
Exploring Operation: 50*2=100, Resulting Numbers: [55, 67, 100]
Generated Node #0,1: 89:[55, 67, 100] Operation: 50*2=100
Exploring Operation: 50+2=52, Resulting Numbers: [55, 67, 52]
Generated Node #0,2: 89:[55, 67, 52] Operation: 50+2=52
Exploring Operation: 55+2=57, Resulting Numbers: [50, 67, 57]
Generated Node #0,3: 89:[50, 67, 57] Operation: 55+2=57
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[55, 67, 100], Operations: ['50*2=100']
Exploring Operation: 67-55=12, Resulting Numbers: [100, 12]
Generated Node #0,1,0: 89:[100, 12] Operation: 67-55=12
Exploring Operation: 55+67=122, Resulting Numbers: [100, 122]
Generated Node #0,1,1: 89:[100, 122] Operation: 55+67=122
Exploring Operation: 55+100=155, Resulting Numbers: [67, 155]
Generated Node #0,1,2: 89:[67, 155] Operation: 55+100=155
Exploring Operation: 100-55=45, Resulting Numbers: [67, 45]
Generated Node #0,1,3: 89:[67, 45] Operation: 100-55=45
Moving to Node #0,1,1
Current State: 89:[100, 122], Operations: ['50*2=100', '55+67=122']
Exploring Operation: 100+122=222, Resulting Numbers: [222]
222,89 unequal: No Solution
Exploring Operation: 100*122=12200, Resulting Numbers: [12200]
12200,89 unequal: No Solution
Exploring Operation: 122-100=22, Resulting Numbers: [22]
22,89 unequal: No Solution
Moving to Node #0,1,3
Current State: 89:[67, 45], Operations: ['50*2=100', '100-55=45']
Exploring Operation: 67+45=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,89 unequal: No Solution
Exploring Operation: 67*45=3015, Resulting Numbers: [3015]
3015,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[67, 155], Operations: ['50*2=100', '55+100=155']
Exploring Operation: 67*155=10385, Resulting Numbers: [10385]
10385,89 unequal: No Solution
Exploring Operation: 155-67=88, Resulting Numbers: [88]
88,89 unequal: No Solution
Exploring Operation: 67+155=222, Resulting Numbers: [222]
222,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[100, 12], Operations: ['50*2=100', '67-55=12']
Exploring Operation: 100+12=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 100-12=88, Resulting Numbers: [88]
88,89 unequal: No Solution
Exploring Operation: 100*12=1200, Resulting Numbers: [1200]
1200,89 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 #0,0
Current State: 89:[50, 67, 110], Operations: ['55*2=110']
Exploring Operation: 50+67=117, Resulting Numbers: [110, 117]
Generated Node #0,0,0: 89:[110, 117] Operation: 50+67=117
Exploring Operation: 110-50=60, Resulting Numbers: [67, 60]
Generated Node #0,0,1: 89:[67, 60] Operation: 110-50=60
Exploring Operation: 67-50=17, Resulting Numbers: [110, 17]
Generated Node #0,0,2: 89:[110, 17] Operation: 67-50=17
Exploring Operation: 110-67=43, Resulting Numbers: [50, 43]
Generated Node #0,0,3: 89:[50, 43] Operation: 110-67=43
Moving to Node #0,0,0
Current State: 89:[110, 117], Operations: ['55*2=110', '50+67=117']
Exploring Operation: 110*117=12870, Resulting Numbers: [12870]
12870,89 unequal: No Solution
Exploring Operation: 117-110=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 110+117=227, Resulting Numbers: [227]
227,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[67, 60], Operations: ['55*2=110', '110-50=60']
Exploring Operation: 67-60=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 67*60=4020, Resulting Numbers: [4020]
4020,89 unequal: No Solution
Exploring Operation: 67+60=127, Resulting Numbers: [127]
127,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[50, 43], Operations: ['55*2=110', '110-67=43']
Exploring Operation: 50+43=93, Resulting Numbers: [93]
93,89 unequal: No Solution
Exploring Operation: 50-43=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 50*43=2150, Resulting Numbers: [2150]
2150,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[110, 17], Operations: ['55*2=110', '67-50=17']
Exploring Operation: 110-17=93, Resulting Numbers: [93]
93,89 unequal: No Solution
Exploring Operation: 110*17=1870, Resulting Numbers: [1870]
1870,89 unequal: No Solution
Exploring Operation: 110+17=127, Resulting Numbers: [127]
127,89 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 #0,2
Current State: 89:[55, 67, 52], Operations: ['50+2=52']
Exploring Operation: 55+52=107, Resulting Numbers: [67, 107]
Generated Node #0,2,0: 89:[67, 107] Operation: 55+52=107
Exploring Operation: 67+52=119, Resulting Numbers: [55, 119]
Generated Node #0,2,1: 89:[55, 119] Operation: 67+52=119
Exploring Operation: 55-52=3, Resulting Numbers: [67, 3]
Generated Node #0,2,2: 89:[67, 3] Operation: 55-52=3
Exploring Operation: 55+67=122, Resulting Numbers: [52, 122]
Generated Node #0,2,3: 89:[52, 122] Operation: 55+67=122
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[67, 107], Operations: ['50+2=52', '55+52=107']
Exploring Operation: 107-67=40, Resulting Numbers: [40]
40,89 unequal: No Solution
Exploring Operation: 67+107=174, Resulting Numbers: [174]
174,89 unequal: No Solution
Exploring Operation: 67*107=7169, Resulting Numbers: [7169]
7169,89 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:[55, 119], Operations: ['50+2=52', '67+52=119']
Exploring Operation: 55*119=6545, Resulting Numbers: [6545]
6545,89 unequal: No Solution
Exploring Operation: 55+119=174, Resulting Numbers: [174]
174,89 unequal: No Solution
Exploring Operation: 119-55=64, Resulting Numbers: [64]
64,89 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:[52, 122], Operations: ['50+2=52', '55+67=122']
Exploring Operation: 52+122=174, Resulting Numbers: [174]
174,89 unequal: No Solution
Exploring Operation: 52*122=6344, Resulting Numbers: [6344]
6344,89 unequal: No Solution
Exploring Operation: 122-52=70, Resulting Numbers: [70]
70,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 89:[67, 3], Operations: ['50+2=52', '55-52=3']
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,89 unequal: No Solution
Exploring Operation: 67*3=201, Resulting Numbers: [201]
201,89 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,89 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:[50, 67, 57], Operations: ['55+2=57']
Exploring Operation: 50+57=107, Resulting Numbers: [67, 107]
Generated Node #0,3,0: 89:[67, 107] Operation: 50+57=107
Exploring Operation: 67+57=124, Resulting Numbers: [50, 124]
Generated Node #0,3,1: 89:[50, 124] Operation: 67+57=124
Exploring Operation: 67-50=17, Resulting Numbers: [57, 17]
Generated Node #0,3,2: 89:[57, 17] Operation: 67-50=17
Exploring Operation: 50+67=117, Resulting Numbers: [57, 117]
Generated Node #0,3,3: 89:[57, 117] Operation: 50+67=117
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 89:[67, 107], Operations: ['55+2=57', '50+57=107']
Exploring Operation: 67+107=174, Resulting Numbers: [174]
174,89 unequal: No Solution
Exploring Operation: 107-67=40, Resulting Numbers: [40]
40,89 unequal: No Solution
Exploring Operation: 67*107=7169, Resulting Numbers: [7169]
7169,89 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 #0,3,3
Current State: 89:[57, 117], Operations: ['55+2=57', '50+67=117']
Exploring Operation: 57*117=6669, Resulting Numbers: [6669]
6669,89 unequal: No Solution
Exploring Operation: 57+117=174, Resulting Numbers: [174]
174,89 unequal: No Solution
Exploring Operation: 117-57=60, Resulting Numbers: [60]
60,89 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 #0,3,1
Current State: 89:[50, 124], Operations: ['55+2=57', '67+57=124']
Exploring Operation: 50*124=6200, Resulting Numbers: [6200]
6200,89 unequal: No Solution
Exploring Operation: 124-50=74, Resulting Numbers: [74]
74,89 unequal: No Solution
Exploring Operation: 50+124=174, Resulting Numbers: [174]
174,89 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 #0,3,2
Current State: 89:[57, 17], Operations: ['55+2=57', '67-50=17']
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,89 unequal: No Solution
Exploring Operation: 57*17=969, Resulting Numbers: [969]
969,89 unequal: No Solution
Exploring Operation: 57+17=74, Resulting Numbers: [74]
74,89 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_4 | sum_heuristic |
[
82,
8,
18,
51
] | 43 | [
"82-18=64",
"64/8=8",
"51-8=43"
] | Current State: 43:[82, 8, 18, 51], Operations: []
Exploring Operation: 82-18=64, Resulting Numbers: [8, 51, 64]
Generated Node #2: [8, 51, 64] from Operation: 82-18=64
Current State: 43:[8, 51, 64], Operations: ['82-18=64']
Exploring Operation: 64/8=8, Resulting Numbers: [51, 8]
Generated Node #3: [51, 8] from Operation: 64/8=8
Current State: 43:[51, 8], Operations: ['82-18=64', '64/8=8']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[82, 8, 18, 51], Operations: []
Exploring Operation: 8+18=26, Resulting Numbers: [82, 51, 26]
Generated Node #0,0: 43:[82, 51, 26] Operation: 8+18=26
Exploring Operation: 82-18=64, Resulting Numbers: [8, 51, 64]
Generated Node #0,1: 43:[8, 51, 64] Operation: 82-18=64
Exploring Operation: 82-8=74, Resulting Numbers: [18, 51, 74]
Generated Node #0,2: 43:[18, 51, 74] Operation: 82-8=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[82, 51, 26], Operations: ['8+18=26']
Exploring Operation: 82-51=31, Resulting Numbers: [26, 31]
Generated Node #0,0,0: 43:[26, 31] Operation: 82-51=31
Exploring Operation: 82-26=56, Resulting Numbers: [51, 56]
Generated Node #0,0,1: 43:[51, 56] Operation: 82-26=56
Exploring Operation: 51-26=25, Resulting Numbers: [82, 25]
Generated Node #0,0,2: 43:[82, 25] Operation: 51-26=25
Moving to Node #0,0,1
Current State: 43:[51, 56], Operations: ['8+18=26', '82-26=56']
Exploring Operation: 56-51=5, Resulting Numbers: [5]
5,43 unequal: No Solution
Exploring Operation: 51*56=2856, Resulting Numbers: [2856]
2856,43 unequal: No Solution
Exploring Operation: 51+56=107, Resulting Numbers: [107]
107,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[26, 31], Operations: ['8+18=26', '82-51=31']
Exploring Operation: 26+31=57, Resulting Numbers: [57]
57,43 unequal: No Solution
Exploring Operation: 26*31=806, Resulting Numbers: [806]
806,43 unequal: No Solution
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,43 unequal: No Solution
Moving to Node #0,0,2
Current State: 43:[82, 25], Operations: ['8+18=26', '51-26=25']
Exploring Operation: 82-25=57, Resulting Numbers: [57]
57,43 unequal: No Solution
Exploring Operation: 82+25=107, Resulting Numbers: [107]
107,43 unequal: No Solution
Exploring Operation: 82*25=2050, Resulting Numbers: [2050]
2050,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[8, 51, 64], Operations: ['82-18=64']
Exploring Operation: 64-8=56, Resulting Numbers: [51, 56]
Generated Node #0,1,0: 43:[51, 56] Operation: 64-8=56
Exploring Operation: 51-8=43, Resulting Numbers: [64, 43]
Generated Node #0,1,1: 43:[64, 43] Operation: 51-8=43
Exploring Operation: 8+51=59, Resulting Numbers: [64, 59]
Generated Node #0,1,2: 43:[64, 59] Operation: 8+51=59
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 43:[51, 56], Operations: ['82-18=64', '64-8=56']
Exploring Operation: 51+56=107, Resulting Numbers: [107]
107,43 unequal: No Solution
Exploring Operation: 56-51=5, Resulting Numbers: [5]
5,43 unequal: No Solution
Exploring Operation: 51*56=2856, Resulting Numbers: [2856]
2856,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 43:[64, 43], Operations: ['82-18=64', '51-8=43']
Exploring Operation: 64-43=21, Resulting Numbers: [21]
21,43 unequal: No Solution
Exploring Operation: 64*43=2752, Resulting Numbers: [2752]
2752,43 unequal: No Solution
Exploring Operation: 64+43=107, Resulting Numbers: [107]
107,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 43:[64, 59], Operations: ['82-18=64', '8+51=59']
Exploring Operation: 64+59=123, Resulting Numbers: [123]
123,43 unequal: No Solution
Exploring Operation: 64-59=5, Resulting Numbers: [5]
5,43 unequal: No Solution
Exploring Operation: 64*59=3776, Resulting Numbers: [3776]
3776,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[18, 51, 74], Operations: ['82-8=74']
Exploring Operation: 51-18=33, Resulting Numbers: [74, 33]
Generated Node #0,2,0: 43:[74, 33] Operation: 51-18=33
Exploring Operation: 74-18=56, Resulting Numbers: [51, 56]
Generated Node #0,2,1: 43:[51, 56] Operation: 74-18=56
Exploring Operation: 74-51=23, Resulting Numbers: [18, 23]
Generated Node #0,2,2: 43:[18, 23] Operation: 74-51=23
Moving to Node #0,2,1
Current State: 43:[51, 56], Operations: ['82-8=74', '74-18=56']
Exploring Operation: 51+56=107, Resulting Numbers: [107]
107,43 unequal: No Solution
Exploring Operation: 56-51=5, Resulting Numbers: [5]
5,43 unequal: No Solution
Exploring Operation: 51*56=2856, Resulting Numbers: [2856]
2856,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[74, 33], Operations: ['82-8=74', '51-18=33']
Exploring Operation: 74*33=2442, Resulting Numbers: [2442]
2442,43 unequal: No Solution
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,43 unequal: No Solution
Exploring Operation: 74+33=107, Resulting Numbers: [107]
107,43 unequal: No Solution
Moving to Node #0,2,2
Current State: 43:[18, 23], Operations: ['82-8=74', '74-51=23']
Exploring Operation: 18*23=414, Resulting Numbers: [414]
414,43 unequal: No Solution
Exploring Operation: 18+23=41, Resulting Numbers: [41]
41,43 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,43 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 |
[
16,
49,
2,
17
] | 47 | [
"17-16=1",
"49-2=47",
"1*47=47"
] | Current State: 47:[16, 49, 2, 17], Operations: []
Exploring Operation: 17-16=1, Resulting Numbers: [49, 2, 1]
Generated Node #2: [49, 2, 1] from Operation: 17-16=1
Current State: 47:[49, 2, 1], Operations: ['17-16=1']
Exploring Operation: 49-2=47, Resulting Numbers: [1, 47]
Generated Node #3: [1, 47] from Operation: 49-2=47
Current State: 47:[1, 47], Operations: ['17-16=1', '49-2=47']
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[16, 49, 2, 17], Operations: []
Exploring Operation: 16*2=32, Resulting Numbers: [49, 17, 32]
Generated Node #0,0: 47:[49, 17, 32] Operation: 16*2=32
Exploring Operation: 2*17=34, Resulting Numbers: [16, 49, 34]
Generated Node #0,1: 47:[16, 49, 34] Operation: 2*17=34
Exploring Operation: 16+2=18, Resulting Numbers: [49, 17, 18]
Generated Node #0,2: 47:[49, 17, 18] Operation: 16+2=18
Moving to Node #0,1
Current State: 47:[16, 49, 34], Operations: ['2*17=34']
Exploring Operation: 49-16=33, Resulting Numbers: [34, 33]
Generated Node #0,1,0: 47:[34, 33] Operation: 49-16=33
Exploring Operation: 16+34=50, Resulting Numbers: [49, 50]
Generated Node #0,1,1: 47:[49, 50] Operation: 16+34=50
Exploring Operation: 16+49=65, Resulting Numbers: [34, 65]
Generated Node #0,1,2: 47:[34, 65] Operation: 16+49=65
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[49, 50], Operations: ['2*17=34', '16+34=50']
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 49+50=99, Resulting Numbers: [99]
99,47 unequal: No Solution
Exploring Operation: 49*50=2450, Resulting Numbers: [2450]
2450,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[34, 33], Operations: ['2*17=34', '49-16=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,47 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[34, 65], Operations: ['2*17=34', '16+49=65']
Exploring Operation: 34+65=99, Resulting Numbers: [99]
99,47 unequal: No Solution
Exploring Operation: 34*65=2210, Resulting Numbers: [2210]
2210,47 unequal: No Solution
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 47:[49, 17, 32], Operations: ['16*2=32']
Exploring Operation: 49+17=66, Resulting Numbers: [32, 66]
Generated Node #0,0,0: 47:[32, 66] Operation: 49+17=66
Exploring Operation: 17+32=49, Resulting Numbers: [49, 49]
Generated Node #0,0,1: 47:[49, 49] Operation: 17+32=49
Exploring Operation: 49-17=32, Resulting Numbers: [32, 32]
Generated Node #0,0,2: 47:[32, 32] Operation: 49-17=32
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[49, 49], Operations: ['16*2=32', '17+32=49']
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,47 unequal: No Solution
Exploring Operation: 49/49=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 49-49=0, Resulting Numbers: [0]
0,47 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 #0,0,2
Current State: 47:[32, 32], Operations: ['16*2=32', '49-17=32']
Exploring Operation: 32/32=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 32+32=64, Resulting Numbers: [64]
64,47 unequal: No Solution
Exploring Operation: 32-32=0, Resulting Numbers: [0]
0,47 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:[32, 66], Operations: ['16*2=32', '49+17=66']
Exploring Operation: 32*66=2112, Resulting Numbers: [2112]
2112,47 unequal: No Solution
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 32+66=98, Resulting Numbers: [98]
98,47 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: 47:[49, 17, 18], Operations: ['16+2=18']
Exploring Operation: 49-17=32, Resulting Numbers: [18, 32]
Generated Node #0,2,0: 47:[18, 32] Operation: 49-17=32
Exploring Operation: 17+18=35, Resulting Numbers: [49, 35]
Generated Node #0,2,1: 47:[49, 35] Operation: 17+18=35
Exploring Operation: 49-18=31, Resulting Numbers: [17, 31]
Generated Node #0,2,2: 47:[17, 31] Operation: 49-18=31
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[49, 35], Operations: ['16+2=18', '17+18=35']
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 49*35=1715, Resulting Numbers: [1715]
1715,47 unequal: No Solution
Exploring Operation: 49+35=84, Resulting Numbers: [84]
84,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[18, 32], Operations: ['16+2=18', '49-17=32']
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 18*32=576, Resulting Numbers: [576]
576,47 unequal: No Solution
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[17, 31], Operations: ['16+2=18', '49-18=31']
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,47 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
43,
24,
58,
96
] | 11 | [
"58-43=15",
"96/24=4",
"15-4=11"
] | Current State: 11:[43, 24, 58, 96], Operations: []
Exploring Operation: 58-43=15, Resulting Numbers: [24, 96, 15]
Generated Node #2: [24, 96, 15] from Operation: 58-43=15
Current State: 11:[24, 96, 15], Operations: ['58-43=15']
Exploring Operation: 96/24=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 96/24=4
Current State: 11:[15, 4], Operations: ['58-43=15', '96/24=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[43, 24, 58, 96], Operations: []
Exploring Operation: 58-43=15, Resulting Numbers: [24, 96, 15]
Generated Node #0,0: 11:[24, 96, 15] Operation: 58-43=15
Exploring Operation: 96-58=38, Resulting Numbers: [43, 24, 38]
Generated Node #0,1: 11:[43, 24, 38] Operation: 96-58=38
Exploring Operation: 96/24=4, Resulting Numbers: [43, 58, 4]
Generated Node #0,2: 11:[43, 58, 4] Operation: 96/24=4
Moving to Node #0,1
Current State: 11:[43, 24, 38], Operations: ['96-58=38']
Exploring Operation: 38-24=14, Resulting Numbers: [43, 14]
Generated Node #0,1,0: 11:[43, 14] Operation: 38-24=14
Exploring Operation: 43-38=5, Resulting Numbers: [24, 5]
Generated Node #0,1,1: 11:[24, 5] Operation: 43-38=5
Exploring Operation: 43-24=19, Resulting Numbers: [38, 19]
Generated Node #0,1,2: 11:[38, 19] Operation: 43-24=19
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[24, 5], Operations: ['96-58=38', '43-38=5']
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,11 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,11 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:[43, 14], Operations: ['96-58=38', '38-24=14']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,11 unequal: No Solution
Exploring Operation: 43*14=602, Resulting Numbers: [602]
602,11 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 #0,1,2
Current State: 11:[38, 19], Operations: ['96-58=38', '43-24=19']
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 38+19=57, Resulting Numbers: [57]
57,11 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,11 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: 11:[43, 58, 4], Operations: ['96/24=4']
Exploring Operation: 43-4=39, Resulting Numbers: [58, 39]
Generated Node #0,2,0: 11:[58, 39] Operation: 43-4=39
Exploring Operation: 58-43=15, Resulting Numbers: [4, 15]
Generated Node #0,2,1: 11:[4, 15] Operation: 58-43=15
Exploring Operation: 58-4=54, Resulting Numbers: [43, 54]
Generated Node #0,2,2: 11:[43, 54] Operation: 58-4=54
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 11:[4, 15], Operations: ['96/24=4', '58-43=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[43, 24, 58, 96], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [43, 58, 4]
Generated Node #0,2: 11:[43, 58, 4] Operation: 96/24=4
Moving to Node #0,2
Current State: 11:[43, 58, 4], Operations: ['96/24=4']
Exploring Operation: 58-43=15, Resulting Numbers: [4, 15]
Generated Node #0,2,1: 11:[4, 15] Operation: 58-43=15
Moving to Node #0,2,1
Current State: 11:[4, 15], Operations: ['96/24=4', '58-43=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
48,
68,
2,
72
] | 51 | [
"48*2=96",
"68*72=4896",
"4896/96=51"
] | Current State: 51:[48, 68, 2, 72], Operations: []
Exploring Operation: 48*2=96, Resulting Numbers: [68, 72, 96]
Generated Node #2: [68, 72, 96] from Operation: 48*2=96
Current State: 51:[68, 72, 96], Operations: ['48*2=96']
Exploring Operation: 68*72=4896, Resulting Numbers: [96, 4896]
Generated Node #3: [96, 4896] from Operation: 68*72=4896
Current State: 51:[96, 4896], Operations: ['48*2=96', '68*72=4896']
Exploring Operation: 4896/96=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[48, 68, 2, 72], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [48, 2, 4]
Generated Node #0,0: 51:[48, 2, 4] Operation: 72-68=4
Exploring Operation: 72-48=24, Resulting Numbers: [68, 2, 24]
Generated Node #0,1: 51:[68, 2, 24] Operation: 72-48=24
Exploring Operation: 68-48=20, Resulting Numbers: [2, 72, 20]
Generated Node #0,2: 51:[2, 72, 20] Operation: 68-48=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[48, 2, 4], Operations: ['72-68=4']
Exploring Operation: 48+4=52, Resulting Numbers: [2, 52]
Generated Node #0,0,0: 51:[2, 52] Operation: 48+4=52
Exploring Operation: 48+2=50, Resulting Numbers: [4, 50]
Generated Node #0,0,1: 51:[4, 50] Operation: 48+2=50
Exploring Operation: 4-2=2, Resulting Numbers: [48, 2]
Generated Node #0,0,2: 51:[48, 2] Operation: 4-2=2
Moving to Node #0,0,0
Current State: 51:[2, 52], Operations: ['72-68=4', '48+4=52']
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,51 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[4, 50], Operations: ['72-68=4', '48+2=50']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 4*50=200, Resulting Numbers: [200]
200,51 unequal: No Solution
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[48, 2], Operations: ['72-68=4', '4-2=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[68, 2, 24], Operations: ['72-48=24']
Exploring Operation: 68-24=44, Resulting Numbers: [2, 44]
Generated Node #0,1,0: 51:[2, 44] Operation: 68-24=44
Exploring Operation: 2*24=48, Resulting Numbers: [68, 48]
Generated Node #0,1,1: 51:[68, 48] Operation: 2*24=48
Exploring Operation: 68-2=66, Resulting Numbers: [24, 66]
Generated Node #0,1,2: 51:[24, 66] Operation: 68-2=66
Moving to Node #0,1,0
Current State: 51:[2, 44], Operations: ['72-48=24', '68-24=44']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,51 unequal: No Solution
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[68, 48], Operations: ['72-48=24', '2*24=48']
Exploring Operation: 68+48=116, Resulting Numbers: [116]
116,51 unequal: No Solution
Exploring Operation: 68*48=3264, Resulting Numbers: [3264]
3264,51 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[24, 66], Operations: ['72-48=24', '68-2=66']
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,51 unequal: No Solution
Exploring Operation: 24*66=1584, Resulting Numbers: [1584]
1584,51 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,51 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 #0,2
Current State: 51:[2, 72, 20], Operations: ['68-48=20']
Exploring Operation: 72-20=52, Resulting Numbers: [2, 52]
Generated Node #0,2,0: 51:[2, 52] Operation: 72-20=52
Exploring Operation: 72-2=70, Resulting Numbers: [20, 70]
Generated Node #0,2,1: 51:[20, 70] Operation: 72-2=70
Exploring Operation: 72/2=36, Resulting Numbers: [20, 36]
Generated Node #0,2,2: 51:[20, 36] Operation: 72/2=36
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 51:[2, 52], Operations: ['68-48=20', '72-20=52']
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,51 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 51:[20, 36], Operations: ['68-48=20', '72/2=36']
Exploring Operation: 20*36=720, Resulting Numbers: [720]
720,51 unequal: No Solution
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 51:[20, 70], Operations: ['68-48=20', '72-2=70']
Exploring Operation: 20*70=1400, Resulting Numbers: [1400]
1400,51 unequal: No Solution
Exploring Operation: 20+70=90, Resulting Numbers: [90]
90,51 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,51 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_3 | sum_heuristic |
[
65,
42,
6,
28
] | 73 | [
"65+42=107",
"6+28=34",
"107-34=73"
] | Current State: 73:[65, 42, 6, 28], Operations: []
Exploring Operation: 65+42=107, Resulting Numbers: [6, 28, 107]
Generated Node #2: [6, 28, 107] from Operation: 65+42=107
Current State: 73:[6, 28, 107], Operations: ['65+42=107']
Exploring Operation: 6+28=34, Resulting Numbers: [107, 34]
Generated Node #3: [107, 34] from Operation: 6+28=34
Current State: 73:[107, 34], Operations: ['65+42=107', '6+28=34']
Exploring Operation: 107-34=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[65, 42, 6, 28], Operations: []
Exploring Operation: 65+6=71, Resulting Numbers: [42, 28, 71]
Generated Node #0,0: 73:[42, 28, 71] Operation: 65+6=71
Moving to Node #0,0
Current State: 73:[42, 28, 71], Operations: ['65+6=71']
Exploring Operation: 42+28=70, Resulting Numbers: [71, 70]
Generated Node #0,0,0: 73:[71, 70] Operation: 42+28=70
Moving to Node #0,0,0
Current State: 73:[71, 70], Operations: ['65+6=71', '42+28=70']
Exploring Operation: 71+70=141, Resulting Numbers: [141]
141,73 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
33,
72,
31,
10
] | 92 | [
"33-31=2",
"10*2=20",
"72+20=92"
] | Current State: 92:[33, 72, 31, 10], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [72, 10, 2]
Generated Node #2: [72, 10, 2] from Operation: 33-31=2
Current State: 92:[72, 10, 2], Operations: ['33-31=2']
Exploring Operation: 10*2=20, Resulting Numbers: [72, 20]
Generated Node #3: [72, 20] from Operation: 10*2=20
Current State: 92:[72, 20], Operations: ['33-31=2', '10*2=20']
Exploring Operation: 72+20=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[33, 72, 31, 10], Operations: []
Exploring Operation: 72-33=39, Resulting Numbers: [31, 10, 39]
Generated Node #0,0: 92:[31, 10, 39] Operation: 72-33=39
Exploring Operation: 33-31=2, Resulting Numbers: [72, 10, 2]
Generated Node #0,1: 92:[72, 10, 2] Operation: 33-31=2
Exploring Operation: 72-31=41, Resulting Numbers: [33, 10, 41]
Generated Node #0,2: 92:[33, 10, 41] Operation: 72-31=41
Exploring Operation: 33+72=105, Resulting Numbers: [31, 10, 105]
Generated Node #0,3: 92:[31, 10, 105] Operation: 33+72=105
Moving to Node #0,0
Current State: 92:[31, 10, 39], Operations: ['72-33=39']
Exploring Operation: 10+39=49, Resulting Numbers: [31, 49]
Generated Node #0,0,0: 92:[31, 49] Operation: 10+39=49
Exploring Operation: 31+10=41, Resulting Numbers: [39, 41]
Generated Node #0,0,1: 92:[39, 41] Operation: 31+10=41
Exploring Operation: 39-31=8, Resulting Numbers: [10, 8]
Generated Node #0,0,2: 92:[10, 8] Operation: 39-31=8
Exploring Operation: 31-10=21, Resulting Numbers: [39, 21]
Generated Node #0,0,3: 92:[39, 21] Operation: 31-10=21
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 92:[39, 21], Operations: ['72-33=39', '31-10=21']
Exploring Operation: 39*21=819, Resulting Numbers: [819]
819,92 unequal: No Solution
Exploring Operation: 39+21=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,92 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 #0,0,2
Current State: 92:[10, 8], Operations: ['72-33=39', '39-31=8']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,92 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 #0,0,0
Current State: 92:[31, 49], Operations: ['72-33=39', '10+39=49']
Exploring Operation: 31*49=1519, Resulting Numbers: [1519]
1519,92 unequal: No Solution
Exploring Operation: 31+49=80, Resulting Numbers: [80]
80,92 unequal: No Solution
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,92 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 #0,0,1
Current State: 92:[39, 41], Operations: ['72-33=39', '31+10=41']
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 39*41=1599, Resulting Numbers: [1599]
1599,92 unequal: No Solution
Exploring Operation: 39+41=80, Resulting Numbers: [80]
80,92 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: 92:[33, 10, 41], Operations: ['72-31=41']
Exploring Operation: 33-10=23, Resulting Numbers: [41, 23]
Generated Node #0,2,0: 92:[41, 23] Operation: 33-10=23
Exploring Operation: 33+10=43, Resulting Numbers: [41, 43]
Generated Node #0,2,1: 92:[41, 43] Operation: 33+10=43
Exploring Operation: 41-33=8, Resulting Numbers: [10, 8]
Generated Node #0,2,2: 92:[10, 8] Operation: 41-33=8
Exploring Operation: 10+41=51, Resulting Numbers: [33, 51]
Generated Node #0,2,3: 92:[33, 51] Operation: 10+41=51
Moving to Node #0,1
Current State: 92:[72, 10, 2], Operations: ['33-31=2']
Exploring Operation: 10/2=5, Resulting Numbers: [72, 5]
Generated Node #0,1,0: 92:[72, 5] Operation: 10/2=5
Exploring Operation: 72-10=62, Resulting Numbers: [2, 62]
Generated Node #0,1,1: 92:[2, 62] Operation: 72-10=62
Exploring Operation: 72+10=82, Resulting Numbers: [2, 82]
Generated Node #0,1,2: 92:[2, 82] Operation: 72+10=82
Exploring Operation: 72/2=36, Resulting Numbers: [10, 36]
Generated Node #0,1,3: 92:[10, 36] Operation: 72/2=36
Moving to Node #0,3
Current State: 92:[31, 10, 105], Operations: ['33+72=105']
Exploring Operation: 105-31=74, Resulting Numbers: [10, 74]
Generated Node #0,3,0: 92:[10, 74] Operation: 105-31=74
Exploring Operation: 31+10=41, Resulting Numbers: [105, 41]
Generated Node #0,3,1: 92:[105, 41] Operation: 31+10=41
Exploring Operation: 31-10=21, Resulting Numbers: [105, 21]
Generated Node #0,3,2: 92:[105, 21] Operation: 31-10=21
Exploring Operation: 105-10=95, Resulting Numbers: [31, 95]
Generated Node #0,3,3: 92:[31, 95] Operation: 105-10=95
Moving to Node #0,2,0
Current State: 92:[41, 23], Operations: ['72-31=41', '33-10=23']
Exploring Operation: 41+23=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Exploring Operation: 41*23=943, Resulting Numbers: [943]
943,92 unequal: No Solution
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[41, 43], Operations: ['72-31=41', '33+10=43']
Exploring Operation: 43-41=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 41*43=1763, Resulting Numbers: [1763]
1763,92 unequal: No Solution
Exploring Operation: 41+43=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[10, 8], Operations: ['72-31=41', '41-33=8']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[2, 82], Operations: ['33-31=2', '72+10=82']
Exploring Operation: 2+82=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,92 unequal: No Solution
Exploring Operation: 2*82=164, Resulting Numbers: [164]
164,92 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[31, 95], Operations: ['33+72=105', '105-10=95']
Exploring Operation: 31*95=2945, Resulting Numbers: [2945]
2945,92 unequal: No Solution
Exploring Operation: 31+95=126, Resulting Numbers: [126]
126,92 unequal: No Solution
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[105, 21], Operations: ['33+72=105', '31-10=21']
Exploring Operation: 105-21=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 105*21=2205, Resulting Numbers: [2205]
2205,92 unequal: No Solution
Exploring Operation: 105+21=126, Resulting Numbers: [126]
126,92 unequal: No Solution
Exploring Operation: 105/21=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Moving to Node #0,2,3
Current State: 92:[33, 51], Operations: ['72-31=41', '10+41=51']
Exploring Operation: 33*51=1683, Resulting Numbers: [1683]
1683,92 unequal: No Solution
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 33+51=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[10, 36], Operations: ['33-31=2', '72/2=36']
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,92 unequal: No Solution
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,92 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[2, 62], Operations: ['33-31=2', '72-10=62']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 2*62=124, Resulting Numbers: [124]
124,92 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Moving to Node #0,3,1
Current State: 92:[105, 41], Operations: ['33+72=105', '31+10=41']
Exploring Operation: 105-41=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Exploring Operation: 105+41=146, Resulting Numbers: [146]
146,92 unequal: No Solution
Exploring Operation: 105*41=4305, Resulting Numbers: [4305]
4305,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[72, 5], Operations: ['33-31=2', '10/2=5']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,92 unequal: No Solution
Exploring Operation: 72+5=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 72*5=360, Resulting Numbers: [360]
360,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[10, 74], Operations: ['33+72=105', '105-31=74']
Exploring Operation: 10+74=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 10*74=740, Resulting Numbers: [740]
740,92 unequal: No Solution
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,92 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
9,
73,
6,
53
] | 39 | [
"9*53=477",
"73*6=438",
"477-438=39"
] | Current State: 39:[9, 73, 6, 53], Operations: []
Exploring Operation: 9*53=477, Resulting Numbers: [73, 6, 477]
Generated Node #2: [73, 6, 477] from Operation: 9*53=477
Current State: 39:[73, 6, 477], Operations: ['9*53=477']
Exploring Operation: 73*6=438, Resulting Numbers: [477, 438]
Generated Node #3: [477, 438] from Operation: 73*6=438
Current State: 39:[477, 438], Operations: ['9*53=477', '73*6=438']
Exploring Operation: 477-438=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[9, 73, 6, 53], Operations: []
Exploring Operation: 53-9=44, Resulting Numbers: [73, 6, 44]
Generated Node #0,0: 39:[73, 6, 44] Operation: 53-9=44
Exploring Operation: 73-9=64, Resulting Numbers: [6, 53, 64]
Generated Node #0,1: 39:[6, 53, 64] Operation: 73-9=64
Exploring Operation: 73-53=20, Resulting Numbers: [9, 6, 20]
Generated Node #0,2: 39:[9, 6, 20] Operation: 73-53=20
Moving to Node #0,2
Current State: 39:[9, 6, 20], Operations: ['73-53=20']
Exploring Operation: 20-9=11, Resulting Numbers: [6, 11]
Generated Node #0,2,0: 39:[6, 11] Operation: 20-9=11
Exploring Operation: 20-6=14, Resulting Numbers: [9, 14]
Generated Node #0,2,1: 39:[9, 14] Operation: 20-6=14
Exploring Operation: 9-6=3, Resulting Numbers: [20, 3]
Generated Node #0,2,2: 39:[20, 3] Operation: 9-6=3
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[6, 11], Operations: ['73-53=20', '20-9=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,39 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,39 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 #0,2,1
Current State: 39:[9, 14], Operations: ['73-53=20', '20-6=14']
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 9*14=126, Resulting Numbers: [126]
126,39 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:[20, 3], Operations: ['73-53=20', '9-6=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,39 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: 39:[73, 6, 44], Operations: ['53-9=44']
Exploring Operation: 44-6=38, Resulting Numbers: [73, 38]
Generated Node #0,0,0: 39:[73, 38] Operation: 44-6=38
Exploring Operation: 73-44=29, Resulting Numbers: [6, 29]
Generated Node #0,0,1: 39:[6, 29] Operation: 73-44=29
Exploring Operation: 73-6=67, Resulting Numbers: [44, 67]
Generated Node #0,0,2: 39:[44, 67] Operation: 73-6=67
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 39:[6, 29], Operations: ['53-9=44', '73-44=29']
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,39 unequal: No Solution
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,39 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 39:[44, 67], Operations: ['53-9=44', '73-6=67']
Exploring Operation: 44*67=2948, Resulting Numbers: [2948]
2948,39 unequal: No Solution
Exploring Operation: 67-44=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 44+67=111, Resulting Numbers: [111]
111,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[73, 38], Operations: ['53-9=44', '44-6=38']
Exploring Operation: 73*38=2774, Resulting Numbers: [2774]
2774,39 unequal: No Solution
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,39 unequal: No Solution
Exploring Operation: 73+38=111, Resulting Numbers: [111]
111,39 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: 39:[6, 53, 64], Operations: ['73-9=64']
Exploring Operation: 53-6=47, Resulting Numbers: [64, 47]
Generated Node #0,1,0: 39:[64, 47] Operation: 53-6=47
Exploring Operation: 64-6=58, Resulting Numbers: [53, 58]
Generated Node #0,1,1: 39:[53, 58] Operation: 64-6=58
Exploring Operation: 64-53=11, Resulting Numbers: [6, 11]
Generated Node #0,1,2: 39:[6, 11] Operation: 64-53=11
Moving to Node #0,1,2
Current State: 39:[6, 11], Operations: ['73-9=64', '64-53=11']
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,39 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[64, 47], Operations: ['73-9=64', '53-6=47']
Exploring Operation: 64+47=111, Resulting Numbers: [111]
111,39 unequal: No Solution
Exploring Operation: 64*47=3008, Resulting Numbers: [3008]
3008,39 unequal: No Solution
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[53, 58], Operations: ['73-9=64', '64-6=58']
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 53*58=3074, Resulting Numbers: [3074]
3074,39 unequal: No Solution
Exploring Operation: 53+58=111, Resulting Numbers: [111]
111,39 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
93,
38,
58,
37
] | 19 | [
"93-58=35",
"37-35=2",
"38/2=19"
] | Current State: 19:[93, 38, 58, 37], Operations: []
Exploring Operation: 93-58=35, Resulting Numbers: [38, 37, 35]
Generated Node #2: [38, 37, 35] from Operation: 93-58=35
Current State: 19:[38, 37, 35], Operations: ['93-58=35']
Exploring Operation: 37-35=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 37-35=2
Current State: 19:[38, 2], Operations: ['93-58=35', '37-35=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[93, 38, 58, 37], Operations: []
Exploring Operation: 93-37=56, Resulting Numbers: [38, 58, 56]
Generated Node #0,0: 19:[38, 58, 56] Operation: 93-37=56
Exploring Operation: 58-38=20, Resulting Numbers: [93, 37, 20]
Generated Node #0,1: 19:[93, 37, 20] Operation: 58-38=20
Exploring Operation: 58-37=21, Resulting Numbers: [93, 38, 21]
Generated Node #0,2: 19:[93, 38, 21] Operation: 58-37=21
Exploring Operation: 93-58=35, Resulting Numbers: [38, 37, 35]
Generated Node #0,3: 19:[38, 37, 35] Operation: 93-58=35
Exploring Operation: 93-38=55, Resulting Numbers: [58, 37, 55]
Generated Node #0,4: 19:[58, 37, 55] Operation: 93-38=55
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[38, 37, 35], Operations: ['93-58=35']
Exploring Operation: 38-35=3, Resulting Numbers: [37, 3]
Generated Node #0,3,0: 19:[37, 3] Operation: 38-35=3
Exploring Operation: 38+37=75, Resulting Numbers: [35, 75]
Generated Node #0,3,1: 19:[35, 75] Operation: 38+37=75
Exploring Operation: 37-35=2, Resulting Numbers: [38, 2]
Generated Node #0,3,2: 19:[38, 2] Operation: 37-35=2
Exploring Operation: 38-37=1, Resulting Numbers: [35, 1]
Generated Node #0,3,3: 19:[35, 1] Operation: 38-37=1
Exploring Operation: 38+35=73, Resulting Numbers: [37, 73]
Generated Node #0,3,4: 19:[37, 73] Operation: 38+35=73
Moving to Node #0,3,0
Current State: 19:[37, 3], Operations: ['93-58=35', '38-35=3']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 37*3=111, Resulting Numbers: [111]
111,19 unequal: No Solution
Moving to Node #0,3,3
Current State: 19:[35, 1], Operations: ['93-58=35', '38-37=1']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,19 unequal: No Solution
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,19 unequal: No Solution
Moving to Node #0,3,2
Current State: 19:[38, 2], Operations: ['93-58=35', '37-35=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[93, 38, 58, 37], Operations: []
Exploring Operation: 93-58=35, Resulting Numbers: [38, 37, 35]
Generated Node #0,3: 19:[38, 37, 35] Operation: 93-58=35
Moving to Node #0,3
Current State: 19:[38, 37, 35], Operations: ['93-58=35']
Exploring Operation: 37-35=2, Resulting Numbers: [38, 2]
Generated Node #0,3,2: 19:[38, 2] Operation: 37-35=2
Moving to Node #0,3,2
Current State: 19:[38, 2], Operations: ['93-58=35', '37-35=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
44,
37,
15,
86
] | 19 | [
"44-37=7",
"15*7=105",
"105-86=19"
] | Current State: 19:[44, 37, 15, 86], Operations: []
Exploring Operation: 44-37=7, Resulting Numbers: [15, 86, 7]
Generated Node #2: [15, 86, 7] from Operation: 44-37=7
Current State: 19:[15, 86, 7], Operations: ['44-37=7']
Exploring Operation: 15*7=105, Resulting Numbers: [86, 105]
Generated Node #3: [86, 105] from Operation: 15*7=105
Current State: 19:[86, 105], Operations: ['44-37=7', '15*7=105']
Exploring Operation: 105-86=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[44, 37, 15, 86], Operations: []
Exploring Operation: 86-44=42, Resulting Numbers: [37, 15, 42]
Generated Node #0,0: 19:[37, 15, 42] Operation: 86-44=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[37, 15, 42], Operations: ['86-44=42']
Exploring Operation: 42-37=5, Resulting Numbers: [15, 5]
Generated Node #0,0,0: 19:[15, 5] Operation: 42-37=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[15, 5], Operations: ['86-44=42', '42-37=5']
Exploring Operation: 15+5=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
No solution found.
| 0 | hs_1 | sum_heuristic |
[
86,
23,
16,
3
] | 76 | [
"86-23=63",
"16-3=13",
"63+13=76"
] | Current State: 76:[86, 23, 16, 3], Operations: []
Exploring Operation: 86-23=63, Resulting Numbers: [16, 3, 63]
Generated Node #2: [16, 3, 63] from Operation: 86-23=63
Current State: 76:[16, 3, 63], Operations: ['86-23=63']
Exploring Operation: 16-3=13, Resulting Numbers: [63, 13]
Generated Node #3: [63, 13] from Operation: 16-3=13
Current State: 76:[63, 13], Operations: ['86-23=63', '16-3=13']
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[86, 23, 16, 3], Operations: []
Exploring Operation: 86-16=70, Resulting Numbers: [23, 3, 70]
Generated Node #0,0: 76:[23, 3, 70] Operation: 86-16=70
Exploring Operation: 23+16=39, Resulting Numbers: [86, 3, 39]
Generated Node #0,1: 76:[86, 3, 39] Operation: 23+16=39
Exploring Operation: 86-3=83, Resulting Numbers: [23, 16, 83]
Generated Node #0,2: 76:[23, 16, 83] Operation: 86-3=83
Exploring Operation: 23-16=7, Resulting Numbers: [86, 3, 7]
Generated Node #0,3: 76:[86, 3, 7] Operation: 23-16=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[23, 3, 70], Operations: ['86-16=70']
Exploring Operation: 23-3=20, Resulting Numbers: [70, 20]
Generated Node #0,0,0: 76:[70, 20] Operation: 23-3=20
Exploring Operation: 70-23=47, Resulting Numbers: [3, 47]
Generated Node #0,0,1: 76:[3, 47] Operation: 70-23=47
Exploring Operation: 23+3=26, Resulting Numbers: [70, 26]
Generated Node #0,0,2: 76:[70, 26] Operation: 23+3=26
Exploring Operation: 3+70=73, Resulting Numbers: [23, 73]
Generated Node #0,0,3: 76:[23, 73] Operation: 3+70=73
Moving to Node #0,0,0
Current State: 76:[70, 20], Operations: ['86-16=70', '23-3=20']
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 70*20=1400, Resulting Numbers: [1400]
1400,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[23, 73], Operations: ['86-16=70', '3+70=73']
Exploring Operation: 73-23=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 23+73=96, Resulting Numbers: [96]
96,76 unequal: No Solution
Exploring Operation: 23*73=1679, Resulting Numbers: [1679]
1679,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[3, 47], Operations: ['86-16=70', '70-23=47']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[70, 26], Operations: ['86-16=70', '23+3=26']
Exploring Operation: 70*26=1820, Resulting Numbers: [1820]
1820,76 unequal: No Solution
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Exploring Operation: 70+26=96, Resulting Numbers: [96]
96,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[86, 3, 39], Operations: ['23+16=39']
Exploring Operation: 39-3=36, Resulting Numbers: [86, 36]
Generated Node #0,1,0: 76:[86, 36] Operation: 39-3=36
Exploring Operation: 86-3=83, Resulting Numbers: [39, 83]
Generated Node #0,1,1: 76:[39, 83] Operation: 86-3=83
Exploring Operation: 86+3=89, Resulting Numbers: [39, 89]
Generated Node #0,1,2: 76:[39, 89] Operation: 86+3=89
Exploring Operation: 86-39=47, Resulting Numbers: [3, 47]
Generated Node #0,1,3: 76:[3, 47] Operation: 86-39=47
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[39, 83], Operations: ['23+16=39', '86-3=83']
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Exploring Operation: 39+83=122, Resulting Numbers: [122]
122,76 unequal: No Solution
Exploring Operation: 39*83=3237, Resulting Numbers: [3237]
3237,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 76:[3, 47], Operations: ['23+16=39', '86-39=47']
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,76 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[86, 36], Operations: ['23+16=39', '39-3=36']
Exploring Operation: 86*36=3096, Resulting Numbers: [3096]
3096,76 unequal: No Solution
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 86+36=122, Resulting Numbers: [122]
122,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 76:[39, 89], Operations: ['23+16=39', '86+3=89']
Exploring Operation: 89-39=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 39+89=128, Resulting Numbers: [128]
128,76 unequal: No Solution
Exploring Operation: 39*89=3471, Resulting Numbers: [3471]
3471,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[23, 16, 83], Operations: ['86-3=83']
Exploring Operation: 83-16=67, Resulting Numbers: [23, 67]
Generated Node #0,2,0: 76:[23, 67] Operation: 83-16=67
Exploring Operation: 23-16=7, Resulting Numbers: [83, 7]
Generated Node #0,2,1: 76:[83, 7] Operation: 23-16=7
Exploring Operation: 83-23=60, Resulting Numbers: [16, 60]
Generated Node #0,2,2: 76:[16, 60] Operation: 83-23=60
Exploring Operation: 23+16=39, Resulting Numbers: [83, 39]
Generated Node #0,2,3: 76:[83, 39] Operation: 23+16=39
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 76:[83, 39], Operations: ['86-3=83', '23+16=39']
Exploring Operation: 83*39=3237, Resulting Numbers: [3237]
3237,76 unequal: No Solution
Exploring Operation: 83+39=122, Resulting Numbers: [122]
122,76 unequal: No Solution
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 76:[83, 7], Operations: ['86-3=83', '23-16=7']
Exploring Operation: 83*7=581, Resulting Numbers: [581]
581,76 unequal: No Solution
Exploring Operation: 83+7=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[86, 23, 16, 3], Operations: []
Exploring Operation: 86-3=83, Resulting Numbers: [23, 16, 83]
Generated Node #0,2: 76:[23, 16, 83] Operation: 86-3=83
Moving to Node #0,2
Current State: 76:[23, 16, 83], Operations: ['86-3=83']
Exploring Operation: 23-16=7, Resulting Numbers: [83, 7]
Generated Node #0,2,1: 76:[83, 7] Operation: 23-16=7
Moving to Node #0,2,1
Current State: 76:[83, 7], Operations: ['86-3=83', '23-16=7']
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.956597 | hs_4 | sum_heuristic |
[
2,
27,
62,
95
] | 87 | [
"2*27=54",
"95-62=33",
"54+33=87"
] | Current State: 87:[2, 27, 62, 95], Operations: []
Exploring Operation: 2*27=54, Resulting Numbers: [62, 95, 54]
Generated Node #2: [62, 95, 54] from Operation: 2*27=54
Current State: 87:[62, 95, 54], Operations: ['2*27=54']
Exploring Operation: 95-62=33, Resulting Numbers: [54, 33]
Generated Node #3: [54, 33] from Operation: 95-62=33
Current State: 87:[54, 33], Operations: ['2*27=54', '95-62=33']
Exploring Operation: 54+33=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[2, 27, 62, 95], Operations: []
Exploring Operation: 2+27=29, Resulting Numbers: [62, 95, 29]
Generated Node #0,0: 87:[62, 95, 29] Operation: 2+27=29
Exploring Operation: 62-27=35, Resulting Numbers: [2, 95, 35]
Generated Node #0,1: 87:[2, 95, 35] Operation: 62-27=35
Exploring Operation: 95-62=33, Resulting Numbers: [2, 27, 33]
Generated Node #0,2: 87:[2, 27, 33] Operation: 95-62=33
Exploring Operation: 62/2=31, Resulting Numbers: [27, 95, 31]
Generated Node #0,3: 87:[27, 95, 31] Operation: 62/2=31
Exploring Operation: 27+62=89, Resulting Numbers: [2, 95, 89]
Generated Node #0,4: 87:[2, 95, 89] Operation: 27+62=89
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[2, 27, 33], Operations: ['95-62=33']
Exploring Operation: 33-2=31, Resulting Numbers: [27, 31]
Generated Node #0,2,0: 87:[27, 31] Operation: 33-2=31
Exploring Operation: 2+27=29, Resulting Numbers: [33, 29]
Generated Node #0,2,1: 87:[33, 29] Operation: 2+27=29
Exploring Operation: 27-2=25, Resulting Numbers: [33, 25]
Generated Node #0,2,2: 87:[33, 25] Operation: 27-2=25
Exploring Operation: 2+33=35, Resulting Numbers: [27, 35]
Generated Node #0,2,3: 87:[27, 35] Operation: 2+33=35
Exploring Operation: 33-27=6, Resulting Numbers: [2, 6]
Generated Node #0,2,4: 87:[2, 6] Operation: 33-27=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 87:[27, 31], Operations: ['95-62=33', '33-2=31']
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,87 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 27*31=837, Resulting Numbers: [837]
837,87 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 #0,2,1
Current State: 87:[33, 29], Operations: ['95-62=33', '2+27=29']
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 33+29=62, Resulting Numbers: [62]
62,87 unequal: No Solution
Exploring Operation: 33*29=957, Resulting Numbers: [957]
957,87 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 #0,2,4
Current State: 87:[2, 6], Operations: ['95-62=33', '33-27=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,87 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 #0,2,2
Current State: 87:[33, 25], Operations: ['95-62=33', '27-2=25']
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,87 unequal: No Solution
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,87 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 #0,2,3
Current State: 87:[27, 35], Operations: ['95-62=33', '2+33=35']
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,87 unequal: No Solution
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 27*35=945, Resulting Numbers: [945]
945,87 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
Start Sub Search at level 1: Moving to Node #0,4
Current State: 87:[2, 95, 89], Operations: ['27+62=89']
Exploring Operation: 95-2=93, Resulting Numbers: [89, 93]
Generated Node #0,4,0: 87:[89, 93] Operation: 95-2=93
Exploring Operation: 2+89=91, Resulting Numbers: [95, 91]
Generated Node #0,4,1: 87:[95, 91] Operation: 2+89=91
Exploring Operation: 89-2=87, Resulting Numbers: [95, 87]
Generated Node #0,4,2: 87:[95, 87] Operation: 89-2=87
Exploring Operation: 2+95=97, Resulting Numbers: [89, 97]
Generated Node #0,4,3: 87:[89, 97] Operation: 2+95=97
Exploring Operation: 95-89=6, Resulting Numbers: [2, 6]
Generated Node #0,4,4: 87:[2, 6] Operation: 95-89=6
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 87:[2, 6], Operations: ['27+62=89', '95-89=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,87 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 #0,4,0
Current State: 87:[89, 93], Operations: ['27+62=89', '95-2=93']
Exploring Operation: 93-89=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 89*93=8277, Resulting Numbers: [8277]
8277,87 unequal: No Solution
Exploring Operation: 89+93=182, Resulting Numbers: [182]
182,87 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 #0,4,2
Current State: 87:[95, 87], Operations: ['27+62=89', '89-2=87']
Exploring Operation: 95-87=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 95*87=8265, Resulting Numbers: [8265]
8265,87 unequal: No Solution
Exploring Operation: 95+87=182, Resulting Numbers: [182]
182,87 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 #0,4,1
Current State: 87:[95, 91], Operations: ['27+62=89', '2+89=91']
Exploring Operation: 95+91=186, Resulting Numbers: [186]
186,87 unequal: No Solution
Exploring Operation: 95-91=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 95*91=8645, Resulting Numbers: [8645]
8645,87 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 #0,4,3
Current State: 87:[89, 97], Operations: ['27+62=89', '2+95=97']
Exploring Operation: 89*97=8633, Resulting Numbers: [8633]
8633,87 unequal: No Solution
Exploring Operation: 89+97=186, Resulting Numbers: [186]
186,87 unequal: No Solution
Exploring Operation: 97-89=8, Resulting Numbers: [8]
8,87 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
Start Sub Search at level 1: Moving to Node #0,3
Current State: 87:[27, 95, 31], Operations: ['62/2=31']
Exploring Operation: 31-27=4, Resulting Numbers: [95, 4]
Generated Node #0,3,0: 87:[95, 4] Operation: 31-27=4
Exploring Operation: 95-31=64, Resulting Numbers: [27, 64]
Generated Node #0,3,1: 87:[27, 64] Operation: 95-31=64
Exploring Operation: 27+95=122, Resulting Numbers: [31, 122]
Generated Node #0,3,2: 87:[31, 122] Operation: 27+95=122
Exploring Operation: 27+31=58, Resulting Numbers: [95, 58]
Generated Node #0,3,3: 87:[95, 58] Operation: 27+31=58
Exploring Operation: 95-27=68, Resulting Numbers: [31, 68]
Generated Node #0,3,4: 87:[31, 68] Operation: 95-27=68
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 87:[95, 4], Operations: ['62/2=31', '31-27=4']
Exploring Operation: 95*4=380, Resulting Numbers: [380]
380,87 unequal: No Solution
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,87 unequal: No Solution
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,87 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 #0,3,4
Current State: 87:[31, 68], Operations: ['62/2=31', '95-27=68']
Exploring Operation: 31*68=2108, Resulting Numbers: [2108]
2108,87 unequal: No Solution
Exploring Operation: 31+68=99, Resulting Numbers: [99]
99,87 unequal: No Solution
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,87 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 #0,3,1
Current State: 87:[27, 64], Operations: ['62/2=31', '95-31=64']
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,87 unequal: No Solution
Exploring Operation: 27+64=91, Resulting Numbers: [91]
91,87 unequal: No Solution
Exploring Operation: 27*64=1728, Resulting Numbers: [1728]
1728,87 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 #0,3,2
Current State: 87:[31, 122], Operations: ['62/2=31', '27+95=122']
Exploring Operation: 122-31=91, Resulting Numbers: [91]
91,87 unequal: No Solution
Exploring Operation: 31+122=153, Resulting Numbers: [153]
153,87 unequal: No Solution
Exploring Operation: 31*122=3782, Resulting Numbers: [3782]
3782,87 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 #0,3,3
Current State: 87:[95, 58], Operations: ['62/2=31', '27+31=58']
Exploring Operation: 95+58=153, Resulting Numbers: [153]
153,87 unequal: No Solution
Exploring Operation: 95-58=37, Resulting Numbers: [37]
37,87 unequal: No Solution
Exploring Operation: 95*58=5510, Resulting Numbers: [5510]
5510,87 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[2, 95, 35], Operations: ['62-27=35']
Exploring Operation: 95-2=93, Resulting Numbers: [35, 93]
Generated Node #0,1,0: 87:[35, 93] Operation: 95-2=93
Exploring Operation: 2+95=97, Resulting Numbers: [35, 97]
Generated Node #0,1,1: 87:[35, 97] Operation: 2+95=97
Exploring Operation: 2*35=70, Resulting Numbers: [95, 70]
Generated Node #0,1,2: 87:[95, 70] Operation: 2*35=70
Exploring Operation: 35-2=33, Resulting Numbers: [95, 33]
Generated Node #0,1,3: 87:[95, 33] Operation: 35-2=33
Exploring Operation: 2+35=37, Resulting Numbers: [95, 37]
Generated Node #0,1,4: 87:[95, 37] Operation: 2+35=37
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[35, 93], Operations: ['62-27=35', '95-2=93']
Exploring Operation: 35*93=3255, Resulting Numbers: [3255]
3255,87 unequal: No Solution
Exploring Operation: 93-35=58, Resulting Numbers: [58]
58,87 unequal: No Solution
Exploring Operation: 35+93=128, Resulting Numbers: [128]
128,87 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 #0,1,3
Current State: 87:[95, 33], Operations: ['62-27=35', '35-2=33']
Exploring Operation: 95+33=128, Resulting Numbers: [128]
128,87 unequal: No Solution
Exploring Operation: 95*33=3135, Resulting Numbers: [3135]
3135,87 unequal: No Solution
Exploring Operation: 95-33=62, Resulting Numbers: [62]
62,87 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 #0,1,1
Current State: 87:[35, 97], Operations: ['62-27=35', '2+95=97']
Exploring Operation: 35*97=3395, Resulting Numbers: [3395]
3395,87 unequal: No Solution
Exploring Operation: 97-35=62, Resulting Numbers: [62]
62,87 unequal: No Solution
Exploring Operation: 35+97=132, Resulting Numbers: [132]
132,87 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 #0,1,4
Current State: 87:[95, 37], Operations: ['62-27=35', '2+35=37']
Exploring Operation: 95*37=3515, Resulting Numbers: [3515]
3515,87 unequal: No Solution
Exploring Operation: 95+37=132, Resulting Numbers: [132]
132,87 unequal: No Solution
Exploring Operation: 95-37=58, Resulting Numbers: [58]
58,87 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 #0,1,2
Current State: 87:[95, 70], Operations: ['62-27=35', '2*35=70']
Exploring Operation: 95*70=6650, Resulting Numbers: [6650]
6650,87 unequal: No Solution
Exploring Operation: 95-70=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 95+70=165, Resulting Numbers: [165]
165,87 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[62, 95, 29], Operations: ['2+27=29']
Exploring Operation: 95+29=124, Resulting Numbers: [62, 124]
Generated Node #0,0,0: 87:[62, 124] Operation: 95+29=124
Exploring Operation: 62+29=91, Resulting Numbers: [95, 91]
Generated Node #0,0,1: 87:[95, 91] Operation: 62+29=91
Exploring Operation: 62-29=33, Resulting Numbers: [95, 33]
Generated Node #0,0,2: 87:[95, 33] Operation: 62-29=33
Exploring Operation: 95-62=33, Resulting Numbers: [29, 33]
Generated Node #0,0,3: 87:[29, 33] Operation: 95-62=33
Exploring Operation: 95-29=66, Resulting Numbers: [62, 66]
Generated Node #0,0,4: 87:[62, 66] Operation: 95-29=66
Moving to Node #0,0,3
Current State: 87:[29, 33], Operations: ['2+27=29', '95-62=33']
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,87 unequal: No Solution
Exploring Operation: 29*33=957, Resulting Numbers: [957]
957,87 unequal: No Solution
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Moving to Node #0,0,2
Current State: 87:[95, 33], Operations: ['2+27=29', '62-29=33']
Exploring Operation: 95-33=62, Resulting Numbers: [62]
62,87 unequal: No Solution
Exploring Operation: 95*33=3135, Resulting Numbers: [3135]
3135,87 unequal: No Solution
Exploring Operation: 95+33=128, Resulting Numbers: [128]
128,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[95, 91], Operations: ['2+27=29', '62+29=91']
Exploring Operation: 95*91=8645, Resulting Numbers: [8645]
8645,87 unequal: No Solution
Exploring Operation: 95+91=186, Resulting Numbers: [186]
186,87 unequal: No Solution
Exploring Operation: 95-91=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Moving to Node #0,0,4
Current State: 87:[62, 66], Operations: ['2+27=29', '95-29=66']
Exploring Operation: 62+66=128, Resulting Numbers: [128]
128,87 unequal: No Solution
Exploring Operation: 62*66=4092, Resulting Numbers: [4092]
4092,87 unequal: No Solution
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[62, 124], Operations: ['2+27=29', '95+29=124']
Exploring Operation: 124/62=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 124-62=62, Resulting Numbers: [62]
62,87 unequal: No Solution
Exploring Operation: 62+124=186, Resulting Numbers: [186]
186,87 unequal: No Solution
Exploring Operation: 62*124=7688, Resulting Numbers: [7688]
7688,87 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 |
[
67,
4,
36,
77
] | 97 | [
"77-36=41",
"4*41=164",
"164-67=97"
] | Current State: 97:[67, 4, 36, 77], Operations: []
Exploring Operation: 77-36=41, Resulting Numbers: [67, 4, 41]
Generated Node #2: [67, 4, 41] from Operation: 77-36=41
Current State: 97:[67, 4, 41], Operations: ['77-36=41']
Exploring Operation: 4*41=164, Resulting Numbers: [67, 164]
Generated Node #3: [67, 164] from Operation: 4*41=164
Current State: 97:[67, 164], Operations: ['77-36=41', '4*41=164']
Exploring Operation: 164-67=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[67, 4, 36, 77], Operations: []
Exploring Operation: 4*36=144, Resulting Numbers: [67, 77, 144]
Generated Node #0,0: 97:[67, 77, 144] Operation: 4*36=144
Moving to Node #0,0
Current State: 97:[67, 77, 144], Operations: ['4*36=144']
Exploring Operation: 144-67=77, Resulting Numbers: [77, 77]
Generated Node #0,0,0: 97:[77, 77] Operation: 144-67=77
Moving to Node #0,0,0
Current State: 97:[77, 77], Operations: ['4*36=144', '144-67=77']
Exploring Operation: 77+77=154, Resulting Numbers: [154]
154,97 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
23,
22,
18,
24
] | 39 | [
"23+22=45",
"24-18=6",
"45-6=39"
] | Current State: 39:[23, 22, 18, 24], Operations: []
Exploring Operation: 23+22=45, Resulting Numbers: [18, 24, 45]
Generated Node #2: [18, 24, 45] from Operation: 23+22=45
Current State: 39:[18, 24, 45], Operations: ['23+22=45']
Exploring Operation: 24-18=6, Resulting Numbers: [45, 6]
Generated Node #3: [45, 6] from Operation: 24-18=6
Current State: 39:[45, 6], Operations: ['23+22=45', '24-18=6']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[23, 22, 18, 24], Operations: []
Exploring Operation: 23+18=41, Resulting Numbers: [22, 24, 41]
Generated Node #0,0: 39:[22, 24, 41] Operation: 23+18=41
Exploring Operation: 23-22=1, Resulting Numbers: [18, 24, 1]
Generated Node #0,1: 39:[18, 24, 1] Operation: 23-22=1
Exploring Operation: 24-22=2, Resulting Numbers: [23, 18, 2]
Generated Node #0,2: 39:[23, 18, 2] Operation: 24-22=2
Exploring Operation: 23+22=45, Resulting Numbers: [18, 24, 45]
Generated Node #0,3: 39:[18, 24, 45] Operation: 23+22=45
Exploring Operation: 24-23=1, Resulting Numbers: [22, 18, 1]
Generated Node #0,4: 39:[22, 18, 1] Operation: 24-23=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[23, 18, 2], Operations: ['24-22=2']
Exploring Operation: 18*2=36, Resulting Numbers: [23, 36]
Generated Node #0,2,0: 39:[23, 36] Operation: 18*2=36
Exploring Operation: 23-2=21, Resulting Numbers: [18, 21]
Generated Node #0,2,1: 39:[18, 21] Operation: 23-2=21
Exploring Operation: 23*2=46, Resulting Numbers: [18, 46]
Generated Node #0,2,2: 39:[18, 46] Operation: 23*2=46
Exploring Operation: 23-18=5, Resulting Numbers: [2, 5]
Generated Node #0,2,3: 39:[2, 5] Operation: 23-18=5
Exploring Operation: 23+18=41, Resulting Numbers: [2, 41]
Generated Node #0,2,4: 39:[2, 41] Operation: 23+18=41
Moving to Node #0,2,3
Current State: 39:[2, 5], Operations: ['24-22=2', '23-18=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,39 unequal: No Solution
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
Moving to Node #0,2,4
Current State: 39:[2, 41], Operations: ['24-22=2', '23+18=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[23, 22, 18, 24], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [23, 18, 2]
Generated Node #0,2: 39:[23, 18, 2] Operation: 24-22=2
Moving to Node #0,2
Current State: 39:[23, 18, 2], Operations: ['24-22=2']
Exploring Operation: 23+18=41, Resulting Numbers: [2, 41]
Generated Node #0,2,4: 39:[2, 41] Operation: 23+18=41
Moving to Node #0,2,4
Current State: 39:[2, 41], Operations: ['24-22=2', '23+18=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
6,
74,
33,
37
] | 24 | [
"74+33=107",
"37+107=144",
"144/6=24"
] | Current State: 24:[6, 74, 33, 37], Operations: []
Exploring Operation: 74+33=107, Resulting Numbers: [6, 37, 107]
Generated Node #2: [6, 37, 107] from Operation: 74+33=107
Current State: 24:[6, 37, 107], Operations: ['74+33=107']
Exploring Operation: 37+107=144, Resulting Numbers: [6, 144]
Generated Node #3: [6, 144] from Operation: 37+107=144
Current State: 24:[6, 144], Operations: ['74+33=107', '37+107=144']
Exploring Operation: 144/6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[6, 74, 33, 37], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [6, 33, 2]
Generated Node #0,0: 24:[6, 33, 2] Operation: 74/37=2
Exploring Operation: 74-37=37, Resulting Numbers: [6, 33, 37]
Generated Node #0,1: 24:[6, 33, 37] Operation: 74-37=37
Moving to Node #0,0
Current State: 24:[6, 33, 2], Operations: ['74/37=2']
Exploring Operation: 33-2=31, Resulting Numbers: [6, 31]
Generated Node #0,0,0: 24:[6, 31] Operation: 33-2=31
Exploring Operation: 33-6=27, Resulting Numbers: [2, 27]
Generated Node #0,0,1: 24:[2, 27] Operation: 33-6=27
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 24:[2, 27], Operations: ['74/37=2', '33-6=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[6, 31], Operations: ['74/37=2', '33-2=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 24:[6, 33, 37], Operations: ['74-37=37']
Exploring Operation: 37-33=4, Resulting Numbers: [6, 4]
Generated Node #0,1,0: 24:[6, 4] Operation: 37-33=4
Exploring Operation: 33-6=27, Resulting Numbers: [37, 27]
Generated Node #0,1,1: 24:[37, 27] Operation: 33-6=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[6, 4], Operations: ['74-37=37', '37-33=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[6, 74, 33, 37], Operations: []
Exploring Operation: 74-37=37, Resulting Numbers: [6, 33, 37]
Generated Node #0,1: 24:[6, 33, 37] Operation: 74-37=37
Moving to Node #0,1
Current State: 24:[6, 33, 37], Operations: ['74-37=37']
Exploring Operation: 37-33=4, Resulting Numbers: [6, 4]
Generated Node #0,1,0: 24:[6, 4] Operation: 37-33=4
Moving to Node #0,1,0
Current State: 24:[6, 4], Operations: ['74-37=37', '37-33=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
1,
91,
89,
83
] | 82 | [
"91-1=90",
"89+83=172",
"172-90=82"
] | Current State: 82:[1, 91, 89, 83], Operations: []
Exploring Operation: 91-1=90, Resulting Numbers: [89, 83, 90]
Generated Node #2: [89, 83, 90] from Operation: 91-1=90
Current State: 82:[89, 83, 90], Operations: ['91-1=90']
Exploring Operation: 89+83=172, Resulting Numbers: [90, 172]
Generated Node #3: [90, 172] from Operation: 89+83=172
Current State: 82:[90, 172], Operations: ['91-1=90', '89+83=172']
Exploring Operation: 172-90=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[1, 91, 89, 83], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [1, 83, 2]
Generated Node #0,0: 82:[1, 83, 2] Operation: 91-89=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[1, 83, 2], Operations: ['91-89=2']
Exploring Operation: 83-1=82, Resulting Numbers: [2, 82]
Generated Node #0,0,0: 82:[2, 82] Operation: 83-1=82
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[2, 82], Operations: ['91-89=2', '83-1=82']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,82 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 |
[
67,
70,
69,
20
] | 45 | [
"69-67=2",
"70+20=90",
"90/2=45"
] | Current State: 45:[67, 70, 69, 20], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [70, 20, 2]
Generated Node #2: [70, 20, 2] from Operation: 69-67=2
Current State: 45:[70, 20, 2], Operations: ['69-67=2']
Exploring Operation: 70+20=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 70+20=90
Current State: 45:[2, 90], Operations: ['69-67=2', '70+20=90']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[67, 70, 69, 20], Operations: []
Exploring Operation: 70-20=50, Resulting Numbers: [67, 69, 50]
Generated Node #0,0: 45:[67, 69, 50] Operation: 70-20=50
Exploring Operation: 70-69=1, Resulting Numbers: [67, 20, 1]
Generated Node #0,1: 45:[67, 20, 1] Operation: 70-69=1
Exploring Operation: 70-67=3, Resulting Numbers: [69, 20, 3]
Generated Node #0,2: 45:[69, 20, 3] Operation: 70-67=3
Exploring Operation: 69-67=2, Resulting Numbers: [70, 20, 2]
Generated Node #0,3: 45:[70, 20, 2] Operation: 69-67=2
Exploring Operation: 67-20=47, Resulting Numbers: [70, 69, 47]
Generated Node #0,4: 45:[70, 69, 47] Operation: 67-20=47
Moving to Node #0,1
Current State: 45:[67, 20, 1], Operations: ['70-69=1']
Exploring Operation: 67-20=47, Resulting Numbers: [1, 47]
Generated Node #0,1,0: 45:[1, 47] Operation: 67-20=47
Exploring Operation: 67-1=66, Resulting Numbers: [20, 66]
Generated Node #0,1,1: 45:[20, 66] Operation: 67-1=66
Exploring Operation: 67/1=67, Resulting Numbers: [20, 67]
Generated Node #0,1,2: 45:[20, 67] Operation: 67/1=67
Exploring Operation: 20-1=19, Resulting Numbers: [67, 19]
Generated Node #0,1,3: 45:[67, 19] Operation: 20-1=19
Exploring Operation: 67*1=67, Resulting Numbers: [20, 67]
Generated Node #0,1,4: 45:[20, 67] Operation: 67*1=67
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 45:[1, 47], Operations: ['70-69=1', '67-20=47']
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,45 unequal: No Solution
Exploring Operation: 1+47=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[20, 66], Operations: ['70-69=1', '67-1=66']
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 20*66=1320, Resulting Numbers: [1320]
1320,45 unequal: No Solution
Exploring Operation: 20+66=86, Resulting Numbers: [86]
86,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 45:[67, 19], Operations: ['70-69=1', '20-1=19']
Exploring Operation: 67+19=86, Resulting Numbers: [86]
86,45 unequal: No Solution
Exploring Operation: 67*19=1273, Resulting Numbers: [1273]
1273,45 unequal: No Solution
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[20, 67], Operations: ['70-69=1', '67/1=67']
Exploring Operation: 20+67=87, Resulting Numbers: [87]
87,45 unequal: No Solution
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,45 unequal: No Solution
Exploring Operation: 20*67=1340, Resulting Numbers: [1340]
1340,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 45:[20, 67], Operations: ['70-69=1', '67*1=67']
Exploring Operation: 20*67=1340, Resulting Numbers: [1340]
1340,45 unequal: No Solution
Exploring Operation: 20+67=87, Resulting Numbers: [87]
87,45 unequal: No Solution
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 45:[69, 20, 3], Operations: ['70-67=3']
Exploring Operation: 69-3=66, Resulting Numbers: [20, 66]
Generated Node #0,2,0: 45:[20, 66] Operation: 69-3=66
Exploring Operation: 69-20=49, Resulting Numbers: [3, 49]
Generated Node #0,2,1: 45:[3, 49] Operation: 69-20=49
Exploring Operation: 69+3=72, Resulting Numbers: [20, 72]
Generated Node #0,2,2: 45:[20, 72] Operation: 69+3=72
Exploring Operation: 69/3=23, Resulting Numbers: [20, 23]
Generated Node #0,2,3: 45:[20, 23] Operation: 69/3=23
Exploring Operation: 20-3=17, Resulting Numbers: [69, 17]
Generated Node #0,2,4: 45:[69, 17] Operation: 20-3=17
Moving to Node #0,3
Current State: 45:[70, 20, 2], Operations: ['69-67=2']
Exploring Operation: 70-2=68, Resulting Numbers: [20, 68]
Generated Node #0,3,0: 45:[20, 68] Operation: 70-2=68
Exploring Operation: 70-20=50, Resulting Numbers: [2, 50]
Generated Node #0,3,1: 45:[2, 50] Operation: 70-20=50
Exploring Operation: 20-2=18, Resulting Numbers: [70, 18]
Generated Node #0,3,2: 45:[70, 18] Operation: 20-2=18
Exploring Operation: 70/2=35, Resulting Numbers: [20, 35]
Generated Node #0,3,3: 45:[20, 35] Operation: 70/2=35
Exploring Operation: 20/2=10, Resulting Numbers: [70, 10]
Generated Node #0,3,4: 45:[70, 10] Operation: 20/2=10
Moving to Node #0,0
Current State: 45:[67, 69, 50], Operations: ['70-20=50']
Exploring Operation: 67+69=136, Resulting Numbers: [50, 136]
Generated Node #0,0,0: 45:[50, 136] Operation: 67+69=136
Exploring Operation: 69-67=2, Resulting Numbers: [50, 2]
Generated Node #0,0,1: 45:[50, 2] Operation: 69-67=2
Exploring Operation: 69-50=19, Resulting Numbers: [67, 19]
Generated Node #0,0,2: 45:[67, 19] Operation: 69-50=19
Exploring Operation: 67+50=117, Resulting Numbers: [69, 117]
Generated Node #0,0,3: 45:[69, 117] Operation: 67+50=117
Exploring Operation: 67-50=17, Resulting Numbers: [69, 17]
Generated Node #0,0,4: 45:[69, 17] Operation: 67-50=17
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 45:[50, 2], Operations: ['70-20=50', '69-67=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 45:[67, 19], Operations: ['70-20=50', '69-50=19']
Exploring Operation: 67*19=1273, Resulting Numbers: [1273]
1273,45 unequal: No Solution
Exploring Operation: 67+19=86, Resulting Numbers: [86]
86,45 unequal: No Solution
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 45:[69, 17], Operations: ['70-20=50', '67-50=17']
Exploring Operation: 69*17=1173, Resulting Numbers: [1173]
1173,45 unequal: No Solution
Exploring Operation: 69+17=86, Resulting Numbers: [86]
86,45 unequal: No Solution
Exploring Operation: 69-17=52, Resulting Numbers: [52]
52,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[50, 136], Operations: ['70-20=50', '67+69=136']
Exploring Operation: 50+136=186, Resulting Numbers: [186]
186,45 unequal: No Solution
Exploring Operation: 136-50=86, Resulting Numbers: [86]
86,45 unequal: No Solution
Exploring Operation: 50*136=6800, Resulting Numbers: [6800]
6800,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 45:[69, 117], Operations: ['70-20=50', '67+50=117']
Exploring Operation: 69*117=8073, Resulting Numbers: [8073]
8073,45 unequal: No Solution
Exploring Operation: 117-69=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 69+117=186, Resulting Numbers: [186]
186,45 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: 45:[70, 69, 47], Operations: ['67-20=47']
Exploring Operation: 70-47=23, Resulting Numbers: [69, 23]
Generated Node #0,4,0: 45:[69, 23] Operation: 70-47=23
Exploring Operation: 69-47=22, Resulting Numbers: [70, 22]
Generated Node #0,4,1: 45:[70, 22] Operation: 69-47=22
Exploring Operation: 70-69=1, Resulting Numbers: [47, 1]
Generated Node #0,4,2: 45:[47, 1] Operation: 70-69=1
Exploring Operation: 70+69=139, Resulting Numbers: [47, 139]
Generated Node #0,4,3: 45:[47, 139] Operation: 70+69=139
Exploring Operation: 70+47=117, Resulting Numbers: [69, 117]
Generated Node #0,4,4: 45:[69, 117] Operation: 70+47=117
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 45:[47, 1], Operations: ['67-20=47', '70-69=1']
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,45 unequal: No Solution
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 45:[69, 23], Operations: ['67-20=47', '70-47=23']
Exploring Operation: 69-23=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 69/23=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 69*23=1587, Resulting Numbers: [1587]
1587,45 unequal: No Solution
Exploring Operation: 69+23=92, Resulting Numbers: [92]
92,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 45:[70, 22], Operations: ['67-20=47', '69-47=22']
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 70*22=1540, Resulting Numbers: [1540]
1540,45 unequal: No Solution
Exploring Operation: 70+22=92, Resulting Numbers: [92]
92,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 45:[47, 139], Operations: ['67-20=47', '70+69=139']
Exploring Operation: 47+139=186, Resulting Numbers: [186]
186,45 unequal: No Solution
Exploring Operation: 139-47=92, Resulting Numbers: [92]
92,45 unequal: No Solution
Exploring Operation: 47*139=6533, Resulting Numbers: [6533]
6533,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 45:[69, 117], Operations: ['67-20=47', '70+47=117']
Exploring Operation: 117-69=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 69+117=186, Resulting Numbers: [186]
186,45 unequal: No Solution
Exploring Operation: 69*117=8073, Resulting Numbers: [8073]
8073,45 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: 45:[3, 49], Operations: ['70-67=3', '69-20=49']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 3*49=147, Resulting Numbers: [147]
147,45 unequal: No Solution
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Moving to Node #0,3,1
Current State: 45:[2, 50], Operations: ['69-67=2', '70-20=50']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,45 unequal: No Solution
Moving to Node #0,2,3
Current State: 45:[20, 23], Operations: ['70-67=3', '69/3=23']
Exploring Operation: 20*23=460, Resulting Numbers: [460]
460,45 unequal: No Solution
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,45 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[20, 35], Operations: ['69-67=2', '70/2=35']
Exploring Operation: 20*35=700, Resulting Numbers: [700]
700,45 unequal: No Solution
Exploring Operation: 20+35=55, Resulting Numbers: [55]
55,45 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,45 unequal: No Solution
Moving to Node #0,2,0
Current State: 45:[20, 66], Operations: ['70-67=3', '69-3=66']
Exploring Operation: 20+66=86, Resulting Numbers: [86]
86,45 unequal: No Solution
Exploring Operation: 20*66=1320, Resulting Numbers: [1320]
1320,45 unequal: No Solution
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Moving to Node #0,2,4
Current State: 45:[69, 17], Operations: ['70-67=3', '20-3=17']
Exploring Operation: 69-17=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Exploring Operation: 69+17=86, Resulting Numbers: [86]
86,45 unequal: No Solution
Exploring Operation: 69*17=1173, Resulting Numbers: [1173]
1173,45 unequal: No Solution
Moving to Node #0,3,4
Current State: 45:[70, 10], Operations: ['69-67=2', '20/2=10']
Exploring Operation: 70+10=80, Resulting Numbers: [80]
80,45 unequal: No Solution
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,45 unequal: No Solution
Exploring Operation: 70/10=7, Resulting Numbers: [7]
7,45 unequal: No Solution
Exploring Operation: 70*10=700, Resulting Numbers: [700]
700,45 unequal: No Solution
Moving to Node #0,3,0
Current State: 45:[20, 68], Operations: ['69-67=2', '70-2=68']
Exploring Operation: 68-20=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 20+68=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 20*68=1360, Resulting Numbers: [1360]
1360,45 unequal: No Solution
Moving to Node #0,3,2
Current State: 45:[70, 18], Operations: ['69-67=2', '20-2=18']
Exploring Operation: 70*18=1260, Resulting Numbers: [1260]
1260,45 unequal: No Solution
Exploring Operation: 70+18=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 70-18=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Moving to Node #0,2,2
Current State: 45:[20, 72], Operations: ['70-67=3', '69+3=72']
Exploring Operation: 20*72=1440, Resulting Numbers: [1440]
1440,45 unequal: No Solution
Exploring Operation: 72-20=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Exploring Operation: 20+72=92, Resulting Numbers: [92]
92,45 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
85,
2,
47,
27
] | 69 | [
"85-27=58",
"2*58=116",
"116-47=69"
] | Current State: 69:[85, 2, 47, 27], Operations: []
Exploring Operation: 85-27=58, Resulting Numbers: [2, 47, 58]
Generated Node #2: [2, 47, 58] from Operation: 85-27=58
Current State: 69:[2, 47, 58], Operations: ['85-27=58']
Exploring Operation: 2*58=116, Resulting Numbers: [47, 116]
Generated Node #3: [47, 116] from Operation: 2*58=116
Current State: 69:[47, 116], Operations: ['85-27=58', '2*58=116']
Exploring Operation: 116-47=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[85, 2, 47, 27], Operations: []
Exploring Operation: 85-27=58, Resulting Numbers: [2, 47, 58]
Generated Node #0,0: 69:[2, 47, 58] Operation: 85-27=58
Exploring Operation: 47+27=74, Resulting Numbers: [85, 2, 74]
Generated Node #0,1: 69:[85, 2, 74] Operation: 47+27=74
Exploring Operation: 85-47=38, Resulting Numbers: [2, 27, 38]
Generated Node #0,2: 69:[2, 27, 38] Operation: 85-47=38
Exploring Operation: 47-27=20, Resulting Numbers: [85, 2, 20]
Generated Node #0,3: 69:[85, 2, 20] Operation: 47-27=20
Moving to Node #0,2
Current State: 69:[2, 27, 38], Operations: ['85-47=38']
Exploring Operation: 2*38=76, Resulting Numbers: [27, 76]
Generated Node #0,2,0: 69:[27, 76] Operation: 2*38=76
Exploring Operation: 38/2=19, Resulting Numbers: [27, 19]
Generated Node #0,2,1: 69:[27, 19] Operation: 38/2=19
Exploring Operation: 38-27=11, Resulting Numbers: [2, 11]
Generated Node #0,2,2: 69:[2, 11] Operation: 38-27=11
Exploring Operation: 27+38=65, Resulting Numbers: [2, 65]
Generated Node #0,2,3: 69:[2, 65] Operation: 27+38=65
Moving to Node #0,3
Current State: 69:[85, 2, 20], Operations: ['47-27=20']
Exploring Operation: 2+20=22, Resulting Numbers: [85, 22]
Generated Node #0,3,0: 69:[85, 22] Operation: 2+20=22
Exploring Operation: 85-2=83, Resulting Numbers: [20, 83]
Generated Node #0,3,1: 69:[20, 83] Operation: 85-2=83
Exploring Operation: 85+2=87, Resulting Numbers: [20, 87]
Generated Node #0,3,2: 69:[20, 87] Operation: 85+2=87
Exploring Operation: 85-20=65, Resulting Numbers: [2, 65]
Generated Node #0,3,3: 69:[2, 65] Operation: 85-20=65
Moving to Node #0,1
Current State: 69:[85, 2, 74], Operations: ['47+27=74']
Exploring Operation: 85+2=87, Resulting Numbers: [74, 87]
Generated Node #0,1,0: 69:[74, 87] Operation: 85+2=87
Exploring Operation: 74-2=72, Resulting Numbers: [85, 72]
Generated Node #0,1,1: 69:[85, 72] Operation: 74-2=72
Exploring Operation: 85-2=83, Resulting Numbers: [74, 83]
Generated Node #0,1,2: 69:[74, 83] Operation: 85-2=83
Exploring Operation: 85-74=11, Resulting Numbers: [2, 11]
Generated Node #0,1,3: 69:[2, 11] Operation: 85-74=11
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 69:[2, 11], Operations: ['47+27=74', '85-74=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,69 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 69:[85, 72], Operations: ['47+27=74', '74-2=72']
Exploring Operation: 85+72=157, Resulting Numbers: [157]
157,69 unequal: No Solution
Exploring Operation: 85-72=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 85*72=6120, Resulting Numbers: [6120]
6120,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 69:[74, 83], Operations: ['47+27=74', '85-2=83']
Exploring Operation: 74+83=157, Resulting Numbers: [157]
157,69 unequal: No Solution
Exploring Operation: 83-74=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 74*83=6142, Resulting Numbers: [6142]
6142,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 69:[74, 87], Operations: ['47+27=74', '85+2=87']
Exploring Operation: 74+87=161, Resulting Numbers: [161]
161,69 unequal: No Solution
Exploring Operation: 74*87=6438, Resulting Numbers: [6438]
6438,69 unequal: No Solution
Exploring Operation: 87-74=13, Resulting Numbers: [13]
13,69 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: 69:[2, 47, 58], Operations: ['85-27=58']
Exploring Operation: 2+47=49, Resulting Numbers: [58, 49]
Generated Node #0,0,0: 69:[58, 49] Operation: 2+47=49
Exploring Operation: 58/2=29, Resulting Numbers: [47, 29]
Generated Node #0,0,1: 69:[47, 29] Operation: 58/2=29
Exploring Operation: 58-47=11, Resulting Numbers: [2, 11]
Generated Node #0,0,2: 69:[2, 11] Operation: 58-47=11
Exploring Operation: 2+58=60, Resulting Numbers: [47, 60]
Generated Node #0,0,3: 69:[47, 60] Operation: 2+58=60
Moving to Node #0,2,3
Current State: 69:[2, 65], Operations: ['85-47=38', '27+38=65']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,69 unequal: No Solution
Exploring Operation: 2*65=130, Resulting Numbers: [130]
130,69 unequal: No Solution
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,69 unequal: No Solution
Moving to Node #0,3,3
Current State: 69:[2, 65], Operations: ['47-27=20', '85-20=65']
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,69 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,69 unequal: No Solution
Exploring Operation: 2*65=130, Resulting Numbers: [130]
130,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[27, 19], Operations: ['85-47=38', '38/2=19']
Exploring Operation: 27*19=513, Resulting Numbers: [513]
513,69 unequal: No Solution
Exploring Operation: 27+19=46, Resulting Numbers: [46]
46,69 unequal: No Solution
Exploring Operation: 27-19=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[2, 11], Operations: ['85-47=38', '38-27=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,69 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[2, 11], Operations: ['85-27=58', '58-47=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,69 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[27, 76], Operations: ['85-47=38', '2*38=76']
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,69 unequal: No Solution
Exploring Operation: 27+76=103, Resulting Numbers: [103]
103,69 unequal: No Solution
Exploring Operation: 27*76=2052, Resulting Numbers: [2052]
2052,69 unequal: No Solution
Moving to Node #0,3,1
Current State: 69:[20, 83], Operations: ['47-27=20', '85-2=83']
Exploring Operation: 20+83=103, Resulting Numbers: [103]
103,69 unequal: No Solution
Exploring Operation: 83-20=63, Resulting Numbers: [63]
63,69 unequal: No Solution
Exploring Operation: 20*83=1660, Resulting Numbers: [1660]
1660,69 unequal: No Solution
Moving to Node #0,3,0
Current State: 69:[85, 22], Operations: ['47-27=20', '2+20=22']
Exploring Operation: 85+22=107, Resulting Numbers: [107]
107,69 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,69 unequal: No Solution
Exploring Operation: 85*22=1870, Resulting Numbers: [1870]
1870,69 unequal: No Solution
Moving to Node #0,3,2
Current State: 69:[20, 87], Operations: ['47-27=20', '85+2=87']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,69 unequal: No Solution
Exploring Operation: 20+87=107, Resulting Numbers: [107]
107,69 unequal: No Solution
Exploring Operation: 20*87=1740, Resulting Numbers: [1740]
1740,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[47, 29], Operations: ['85-27=58', '58/2=29']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 47+29=76, Resulting Numbers: [76]
76,69 unequal: No Solution
Exploring Operation: 47*29=1363, Resulting Numbers: [1363]
1363,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[58, 49], Operations: ['85-27=58', '2+47=49']
Exploring Operation: 58-49=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 58*49=2842, Resulting Numbers: [2842]
2842,69 unequal: No Solution
Exploring Operation: 58+49=107, Resulting Numbers: [107]
107,69 unequal: No Solution
Moving to Node #0,0,3
Current State: 69:[47, 60], Operations: ['85-27=58', '2+58=60']
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 47+60=107, Resulting Numbers: [107]
107,69 unequal: No Solution
Exploring Operation: 47*60=2820, Resulting Numbers: [2820]
2820,69 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
91,
15,
76,
39
] | 40 | [
"91-15=76",
"76/76=1",
"39+1=40"
] | Current State: 40:[91, 15, 76, 39], Operations: []
Exploring Operation: 91-15=76, Resulting Numbers: [76, 39, 76]
Generated Node #2: [76, 39, 76] from Operation: 91-15=76
Current State: 40:[76, 39, 76], Operations: ['91-15=76']
Exploring Operation: 76/76=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 76/76=1
Current State: 40:[39, 1], Operations: ['91-15=76', '76/76=1']
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[91, 15, 76, 39], Operations: []
Exploring Operation: 91-39=52, Resulting Numbers: [15, 76, 52]
Generated Node #0,0: 40:[15, 76, 52] Operation: 91-39=52
Exploring Operation: 91-15=76, Resulting Numbers: [76, 39, 76]
Generated Node #0,1: 40:[76, 39, 76] Operation: 91-15=76
Exploring Operation: 91-76=15, Resulting Numbers: [15, 39, 15]
Generated Node #0,2: 40:[15, 39, 15] Operation: 91-76=15
Exploring Operation: 76-39=37, Resulting Numbers: [91, 15, 37]
Generated Node #0,3: 40:[91, 15, 37] Operation: 76-39=37
Moving to Node #0,2
Current State: 40:[15, 39, 15], Operations: ['91-76=15']
Exploring Operation: 39-15=24, Resulting Numbers: [15, 24]
Generated Node #0,2,0: 40:[15, 24] Operation: 39-15=24
Exploring Operation: 15-15=0, Resulting Numbers: [39, 0]
Generated Node #0,2,1: 40:[39, 0] Operation: 15-15=0
Exploring Operation: 39-15=24, Resulting Numbers: [15, 24]
Generated Node #0,2,2: 40:[15, 24] Operation: 39-15=24
Exploring Operation: 15/15=1, Resulting Numbers: [39, 1]
Generated Node #0,2,3: 40:[39, 1] Operation: 15/15=1
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 40:[39, 1], Operations: ['91-76=15', '15/15=1']
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,40 unequal: No Solution
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[91, 15, 76, 39], Operations: []
Exploring Operation: 91-76=15, Resulting Numbers: [15, 39, 15]
Generated Node #0,2: 40:[15, 39, 15] Operation: 91-76=15
Moving to Node #0,2
Current State: 40:[15, 39, 15], Operations: ['91-76=15']
Exploring Operation: 15/15=1, Resulting Numbers: [39, 1]
Generated Node #0,2,3: 40:[39, 1] Operation: 15/15=1
Moving to Node #0,2,3
Current State: 40:[39, 1], Operations: ['91-76=15', '15/15=1']
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
77,
2,
74,
93
] | 88 | [
"77+2=79",
"74+93=167",
"167-79=88"
] | Current State: 88:[77, 2, 74, 93], Operations: []
Exploring Operation: 77+2=79, Resulting Numbers: [74, 93, 79]
Generated Node #2: [74, 93, 79] from Operation: 77+2=79
Current State: 88:[74, 93, 79], Operations: ['77+2=79']
Exploring Operation: 74+93=167, Resulting Numbers: [79, 167]
Generated Node #3: [79, 167] from Operation: 74+93=167
Current State: 88:[79, 167], Operations: ['77+2=79', '74+93=167']
Exploring Operation: 167-79=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[77, 2, 74, 93], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [2, 93, 3]
Generated Node #0,0: 88:[2, 93, 3] Operation: 77-74=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[2, 93, 3], Operations: ['77-74=3']
Exploring Operation: 93-3=90, Resulting Numbers: [2, 90]
Generated Node #0,0,0: 88:[2, 90] Operation: 93-3=90
Moving to Node #0,0,0
Current State: 88:[2, 90], Operations: ['77-74=3', '93-3=90']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[77, 2, 74, 93], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [2, 93, 3]
Generated Node #0,0: 88:[2, 93, 3] Operation: 77-74=3
Moving to Node #0,0
Current State: 88:[2, 93, 3], Operations: ['77-74=3']
Exploring Operation: 93-3=90, Resulting Numbers: [2, 90]
Generated Node #0,0,0: 88:[2, 90] Operation: 93-3=90
Moving to Node #0,0,0
Current State: 88:[2, 90], Operations: ['77-74=3', '93-3=90']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
70,
26,
53,
57
] | 55 | [
"70-57=13",
"26/13=2",
"53+2=55"
] | Current State: 55:[70, 26, 53, 57], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [26, 53, 13]
Generated Node #2: [26, 53, 13] from Operation: 70-57=13
Current State: 55:[26, 53, 13], Operations: ['70-57=13']
Exploring Operation: 26/13=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 26/13=2
Current State: 55:[53, 2], Operations: ['70-57=13', '26/13=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[70, 26, 53, 57], Operations: []
Exploring Operation: 70-53=17, Resulting Numbers: [26, 57, 17]
Generated Node #0,0: 55:[26, 57, 17] Operation: 70-53=17
Exploring Operation: 57-53=4, Resulting Numbers: [70, 26, 4]
Generated Node #0,1: 55:[70, 26, 4] Operation: 57-53=4
Exploring Operation: 70-57=13, Resulting Numbers: [26, 53, 13]
Generated Node #0,2: 55:[26, 53, 13] Operation: 70-57=13
Exploring Operation: 70-26=44, Resulting Numbers: [53, 57, 44]
Generated Node #0,3: 55:[53, 57, 44] Operation: 70-26=44
Moving to Node #0,3
Current State: 55:[53, 57, 44], Operations: ['70-26=44']
Exploring Operation: 57-44=13, Resulting Numbers: [53, 13]
Generated Node #0,3,0: 55:[53, 13] Operation: 57-44=13
Exploring Operation: 57-53=4, Resulting Numbers: [44, 4]
Generated Node #0,3,1: 55:[44, 4] Operation: 57-53=4
Exploring Operation: 53-44=9, Resulting Numbers: [57, 9]
Generated Node #0,3,2: 55:[57, 9] Operation: 53-44=9
Exploring Operation: 53+44=97, Resulting Numbers: [57, 97]
Generated Node #0,3,3: 55:[57, 97] Operation: 53+44=97
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 55:[53, 13], Operations: ['70-26=44', '57-44=13']
Exploring Operation: 53+13=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,55 unequal: No Solution
Exploring Operation: 53*13=689, Resulting Numbers: [689]
689,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 55:[57, 9], Operations: ['70-26=44', '53-44=9']
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,55 unequal: No Solution
Exploring Operation: 57*9=513, Resulting Numbers: [513]
513,55 unequal: No Solution
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 55:[44, 4], Operations: ['70-26=44', '57-53=4']
Exploring Operation: 44*4=176, Resulting Numbers: [176]
176,55 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,55 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 55:[57, 97], Operations: ['70-26=44', '53+44=97']
Exploring Operation: 97-57=40, Resulting Numbers: [40]
40,55 unequal: No Solution
Exploring Operation: 57*97=5529, Resulting Numbers: [5529]
5529,55 unequal: No Solution
Exploring Operation: 57+97=154, Resulting Numbers: [154]
154,55 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: 55:[26, 53, 13], Operations: ['70-57=13']
Exploring Operation: 26/13=2, Resulting Numbers: [53, 2]
Generated Node #0,2,0: 55:[53, 2] Operation: 26/13=2
Exploring Operation: 26+13=39, Resulting Numbers: [53, 39]
Generated Node #0,2,1: 55:[53, 39] Operation: 26+13=39
Exploring Operation: 26-13=13, Resulting Numbers: [53, 13]
Generated Node #0,2,2: 55:[53, 13] Operation: 26-13=13
Exploring Operation: 53-26=27, Resulting Numbers: [13, 27]
Generated Node #0,2,3: 55:[13, 27] Operation: 53-26=27
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 55:[53, 13], Operations: ['70-57=13', '26-13=13']
Exploring Operation: 53+13=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,55 unequal: No Solution
Exploring Operation: 53*13=689, Resulting Numbers: [689]
689,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 55:[53, 2], Operations: ['70-57=13', '26/13=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 53*2=106, Resulting Numbers: [106]
106,55 unequal: No Solution
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[70, 26, 53, 57], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [26, 53, 13]
Generated Node #0,2: 55:[26, 53, 13] Operation: 70-57=13
Moving to Node #0,2
Current State: 55:[26, 53, 13], Operations: ['70-57=13']
Exploring Operation: 26/13=2, Resulting Numbers: [53, 2]
Generated Node #0,2,0: 55:[53, 2] Operation: 26/13=2
Moving to Node #0,2,0
Current State: 55:[53, 2], Operations: ['70-57=13', '26/13=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_4 | sum_heuristic |
[
75,
77,
86,
97
] | 54 | [
"77-75=2",
"86/2=43",
"97-43=54"
] | Current State: 54:[75, 77, 86, 97], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [86, 97, 2]
Generated Node #2: [86, 97, 2] from Operation: 77-75=2
Current State: 54:[86, 97, 2], Operations: ['77-75=2']
Exploring Operation: 86/2=43, Resulting Numbers: [97, 43]
Generated Node #3: [97, 43] from Operation: 86/2=43
Current State: 54:[97, 43], Operations: ['77-75=2', '86/2=43']
Exploring Operation: 97-43=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[75, 77, 86, 97], Operations: []
Exploring Operation: 97-77=20, Resulting Numbers: [75, 86, 20]
Generated Node #0,0: 54:[75, 86, 20] Operation: 97-77=20
Exploring Operation: 97-86=11, Resulting Numbers: [75, 77, 11]
Generated Node #0,1: 54:[75, 77, 11] Operation: 97-86=11
Exploring Operation: 86-75=11, Resulting Numbers: [77, 97, 11]
Generated Node #0,2: 54:[77, 97, 11] Operation: 86-75=11
Exploring Operation: 97-75=22, Resulting Numbers: [77, 86, 22]
Generated Node #0,3: 54:[77, 86, 22] Operation: 97-75=22
Exploring Operation: 86-77=9, Resulting Numbers: [75, 97, 9]
Generated Node #0,4: 54:[75, 97, 9] Operation: 86-77=9
Moving to Node #0,1
Current State: 54:[75, 77, 11], Operations: ['97-86=11']
Exploring Operation: 77-11=66, Resulting Numbers: [75, 66]
Generated Node #0,1,0: 54:[75, 66] Operation: 77-11=66
Exploring Operation: 77/11=7, Resulting Numbers: [75, 7]
Generated Node #0,1,1: 54:[75, 7] Operation: 77/11=7
Exploring Operation: 77-75=2, Resulting Numbers: [11, 2]
Generated Node #0,1,2: 54:[11, 2] Operation: 77-75=2
Exploring Operation: 75-11=64, Resulting Numbers: [77, 64]
Generated Node #0,1,3: 54:[77, 64] Operation: 75-11=64
Exploring Operation: 75+11=86, Resulting Numbers: [77, 86]
Generated Node #0,1,4: 54:[77, 86] Operation: 75+11=86
Moving to Node #0,0
Current State: 54:[75, 86, 20], Operations: ['97-77=20']
Exploring Operation: 86-20=66, Resulting Numbers: [75, 66]
Generated Node #0,0,0: 54:[75, 66] Operation: 86-20=66
Exploring Operation: 75-20=55, Resulting Numbers: [86, 55]
Generated Node #0,0,1: 54:[86, 55] Operation: 75-20=55
Exploring Operation: 75+20=95, Resulting Numbers: [86, 95]
Generated Node #0,0,2: 54:[86, 95] Operation: 75+20=95
Exploring Operation: 86+20=106, Resulting Numbers: [75, 106]
Generated Node #0,0,3: 54:[75, 106] Operation: 86+20=106
Exploring Operation: 86-75=11, Resulting Numbers: [20, 11]
Generated Node #0,0,4: 54:[20, 11] Operation: 86-75=11
Moving to Node #0,3
Current State: 54:[77, 86, 22], Operations: ['97-75=22']
Exploring Operation: 86-77=9, Resulting Numbers: [22, 9]
Generated Node #0,3,0: 54:[22, 9] Operation: 86-77=9
Exploring Operation: 86-22=64, Resulting Numbers: [77, 64]
Generated Node #0,3,1: 54:[77, 64] Operation: 86-22=64
Exploring Operation: 77+22=99, Resulting Numbers: [86, 99]
Generated Node #0,3,2: 54:[86, 99] Operation: 77+22=99
Exploring Operation: 77-22=55, Resulting Numbers: [86, 55]
Generated Node #0,3,3: 54:[86, 55] Operation: 77-22=55
Exploring Operation: 86+22=108, Resulting Numbers: [77, 108]
Generated Node #0,3,4: 54:[77, 108] Operation: 86+22=108
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 54:[22, 9], Operations: ['97-75=22', '86-77=9']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 22*9=198, Resulting Numbers: [198]
198,54 unequal: No Solution
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 54:[77, 64], Operations: ['97-75=22', '86-22=64']
Exploring Operation: 77*64=4928, Resulting Numbers: [4928]
4928,54 unequal: No Solution
Exploring Operation: 77-64=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 77+64=141, Resulting Numbers: [141]
141,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 54:[86, 55], Operations: ['97-75=22', '77-22=55']
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 86+55=141, Resulting Numbers: [141]
141,54 unequal: No Solution
Exploring Operation: 86*55=4730, Resulting Numbers: [4730]
4730,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 54:[86, 99], Operations: ['97-75=22', '77+22=99']
Exploring Operation: 86*99=8514, Resulting Numbers: [8514]
8514,54 unequal: No Solution
Exploring Operation: 99-86=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 86+99=185, Resulting Numbers: [185]
185,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 54:[77, 108], Operations: ['97-75=22', '86+22=108']
Exploring Operation: 77*108=8316, Resulting Numbers: [8316]
8316,54 unequal: No Solution
Exploring Operation: 108-77=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 77+108=185, Resulting Numbers: [185]
185,54 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: 54:[75, 97, 9], Operations: ['86-77=9']
Exploring Operation: 75-9=66, Resulting Numbers: [97, 66]
Generated Node #0,4,0: 54:[97, 66] Operation: 75-9=66
Exploring Operation: 97-75=22, Resulting Numbers: [9, 22]
Generated Node #0,4,1: 54:[9, 22] Operation: 97-75=22
Exploring Operation: 97-9=88, Resulting Numbers: [75, 88]
Generated Node #0,4,2: 54:[75, 88] Operation: 97-9=88
Exploring Operation: 75+9=84, Resulting Numbers: [97, 84]
Generated Node #0,4,3: 54:[97, 84] Operation: 75+9=84
Exploring Operation: 97+9=106, Resulting Numbers: [75, 106]
Generated Node #0,4,4: 54:[75, 106] Operation: 97+9=106
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 54:[9, 22], Operations: ['86-77=9', '97-75=22']
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,54 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 54:[97, 66], Operations: ['86-77=9', '75-9=66']
Exploring Operation: 97-66=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 97*66=6402, Resulting Numbers: [6402]
6402,54 unequal: No Solution
Exploring Operation: 97+66=163, Resulting Numbers: [163]
163,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 54:[75, 88], Operations: ['86-77=9', '97-9=88']
Exploring Operation: 75+88=163, Resulting Numbers: [163]
163,54 unequal: No Solution
Exploring Operation: 88-75=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 75*88=6600, Resulting Numbers: [6600]
6600,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 54:[97, 84], Operations: ['86-77=9', '75+9=84']
Exploring Operation: 97*84=8148, Resulting Numbers: [8148]
8148,54 unequal: No Solution
Exploring Operation: 97-84=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 97+84=181, Resulting Numbers: [181]
181,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 54:[75, 106], Operations: ['86-77=9', '97+9=106']
Exploring Operation: 75+106=181, Resulting Numbers: [181]
181,54 unequal: No Solution
Exploring Operation: 106-75=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 75*106=7950, Resulting Numbers: [7950]
7950,54 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: 54:[77, 97, 11], Operations: ['86-75=11']
Exploring Operation: 77/11=7, Resulting Numbers: [97, 7]
Generated Node #0,2,0: 54:[97, 7] Operation: 77/11=7
Exploring Operation: 97-77=20, Resulting Numbers: [11, 20]
Generated Node #0,2,1: 54:[11, 20] Operation: 97-77=20
Exploring Operation: 77-11=66, Resulting Numbers: [97, 66]
Generated Node #0,2,2: 54:[97, 66] Operation: 77-11=66
Exploring Operation: 97-11=86, Resulting Numbers: [77, 86]
Generated Node #0,2,3: 54:[77, 86] Operation: 97-11=86
Exploring Operation: 77+11=88, Resulting Numbers: [97, 88]
Generated Node #0,2,4: 54:[97, 88] Operation: 77+11=88
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 54:[11, 20], Operations: ['86-75=11', '97-77=20']
Exploring Operation: 11*20=220, Resulting Numbers: [220]
220,54 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 54:[97, 7], Operations: ['86-75=11', '77/11=7']
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,54 unequal: No Solution
Exploring Operation: 97+7=104, Resulting Numbers: [104]
104,54 unequal: No Solution
Exploring Operation: 97*7=679, Resulting Numbers: [679]
679,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 54:[97, 66], Operations: ['86-75=11', '77-11=66']
Exploring Operation: 97-66=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 97+66=163, Resulting Numbers: [163]
163,54 unequal: No Solution
Exploring Operation: 97*66=6402, Resulting Numbers: [6402]
6402,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 54:[77, 86], Operations: ['86-75=11', '97-11=86']
Exploring Operation: 77+86=163, Resulting Numbers: [163]
163,54 unequal: No Solution
Exploring Operation: 86-77=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Exploring Operation: 77*86=6622, Resulting Numbers: [6622]
6622,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 54:[97, 88], Operations: ['86-75=11', '77+11=88']
Exploring Operation: 97*88=8536, Resulting Numbers: [8536]
8536,54 unequal: No Solution
Exploring Operation: 97+88=185, Resulting Numbers: [185]
185,54 unequal: No Solution
Exploring Operation: 97-88=9, Resulting Numbers: [9]
9,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 54:[11, 2], Operations: ['97-86=11', '77-75=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,54 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Moving to Node #0,0,4
Current State: 54:[20, 11], Operations: ['97-77=20', '86-75=11']
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,54 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[75, 7], Operations: ['97-86=11', '77/11=7']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,54 unequal: No Solution
Exploring Operation: 75*7=525, Resulting Numbers: [525]
525,54 unequal: No Solution
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[75, 66], Operations: ['97-77=20', '86-20=66']
Exploring Operation: 75*66=4950, Resulting Numbers: [4950]
4950,54 unequal: No Solution
Exploring Operation: 75+66=141, Resulting Numbers: [141]
141,54 unequal: No Solution
Exploring Operation: 75-66=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[75, 66], Operations: ['97-86=11', '77-11=66']
Exploring Operation: 75-66=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Exploring Operation: 75+66=141, Resulting Numbers: [141]
141,54 unequal: No Solution
Exploring Operation: 75*66=4950, Resulting Numbers: [4950]
4950,54 unequal: No Solution
Moving to Node #0,1,3
Current State: 54:[77, 64], Operations: ['97-86=11', '75-11=64']
Exploring Operation: 77+64=141, Resulting Numbers: [141]
141,54 unequal: No Solution
Exploring Operation: 77*64=4928, Resulting Numbers: [4928]
4928,54 unequal: No Solution
Exploring Operation: 77-64=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[86, 55], Operations: ['97-77=20', '75-20=55']
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 86*55=4730, Resulting Numbers: [4730]
4730,54 unequal: No Solution
Exploring Operation: 86+55=141, Resulting Numbers: [141]
141,54 unequal: No Solution
Moving to Node #0,1,4
Current State: 54:[77, 86], Operations: ['97-86=11', '75+11=86']
Exploring Operation: 86-77=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Exploring Operation: 77+86=163, Resulting Numbers: [163]
163,54 unequal: No Solution
Exploring Operation: 77*86=6622, Resulting Numbers: [6622]
6622,54 unequal: No Solution
Moving to Node #0,0,3
Current State: 54:[75, 106], Operations: ['97-77=20', '86+20=106']
Exploring Operation: 75*106=7950, Resulting Numbers: [7950]
7950,54 unequal: No Solution
Exploring Operation: 106-75=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 75+106=181, Resulting Numbers: [181]
181,54 unequal: No Solution
Moving to Node #0,0,2
Current State: 54:[86, 95], Operations: ['97-77=20', '75+20=95']
Exploring Operation: 86*95=8170, Resulting Numbers: [8170]
8170,54 unequal: No Solution
Exploring Operation: 86+95=181, Resulting Numbers: [181]
181,54 unequal: No Solution
Exploring Operation: 95-86=9, Resulting Numbers: [9]
9,54 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
83,
78,
58,
37
] | 90 | [
"83-78=5",
"58+37=95",
"95-5=90"
] | Current State: 90:[83, 78, 58, 37], Operations: []
Exploring Operation: 83-78=5, Resulting Numbers: [58, 37, 5]
Generated Node #2: [58, 37, 5] from Operation: 83-78=5
Current State: 90:[58, 37, 5], Operations: ['83-78=5']
Exploring Operation: 58+37=95, Resulting Numbers: [5, 95]
Generated Node #3: [5, 95] from Operation: 58+37=95
Current State: 90:[5, 95], Operations: ['83-78=5', '58+37=95']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[83, 78, 58, 37], Operations: []
Exploring Operation: 78-58=20, Resulting Numbers: [83, 37, 20]
Generated Node #0,0: 90:[83, 37, 20] Operation: 78-58=20
Moving to Node #0,0
Current State: 90:[83, 37, 20], Operations: ['78-58=20']
Exploring Operation: 83-37=46, Resulting Numbers: [20, 46]
Generated Node #0,0,0: 90:[20, 46] Operation: 83-37=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[20, 46], Operations: ['78-58=20', '83-37=46']
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,90 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 |
[
15,
4,
3,
68
] | 46 | [
"15+4=19",
"68-3=65",
"65-19=46"
] | Current State: 46:[15, 4, 3, 68], Operations: []
Exploring Operation: 15+4=19, Resulting Numbers: [3, 68, 19]
Generated Node #2: [3, 68, 19] from Operation: 15+4=19
Current State: 46:[3, 68, 19], Operations: ['15+4=19']
Exploring Operation: 68-3=65, Resulting Numbers: [19, 65]
Generated Node #3: [19, 65] from Operation: 68-3=65
Current State: 46:[19, 65], Operations: ['15+4=19', '68-3=65']
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[15, 4, 3, 68], Operations: []
Exploring Operation: 68-15=53, Resulting Numbers: [4, 3, 53]
Generated Node #0,0: 46:[4, 3, 53] Operation: 68-15=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[4, 3, 53], Operations: ['68-15=53']
Exploring Operation: 53-4=49, Resulting Numbers: [3, 49]
Generated Node #0,0,0: 46:[3, 49] Operation: 53-4=49
Moving to Node #0,0,0
Current State: 46:[3, 49], Operations: ['68-15=53', '53-4=49']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[15, 4, 3, 68], Operations: []
Exploring Operation: 68-15=53, Resulting Numbers: [4, 3, 53]
Generated Node #0,0: 46:[4, 3, 53] Operation: 68-15=53
Moving to Node #0,0
Current State: 46:[4, 3, 53], Operations: ['68-15=53']
Exploring Operation: 53-4=49, Resulting Numbers: [3, 49]
Generated Node #0,0,0: 46:[3, 49] Operation: 53-4=49
Moving to Node #0,0,0
Current State: 46:[3, 49], Operations: ['68-15=53', '53-4=49']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
20,
10,
44,
54
] | 100 | [
"20-10=10",
"54-44=10",
"10*10=100"
] | Current State: 100:[20, 10, 44, 54], Operations: []
Exploring Operation: 20-10=10, Resulting Numbers: [44, 54, 10]
Generated Node #2: [44, 54, 10] from Operation: 20-10=10
Current State: 100:[44, 54, 10], Operations: ['20-10=10']
Exploring Operation: 54-44=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 54-44=10
Current State: 100:[10, 10], Operations: ['20-10=10', '54-44=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[20, 10, 44, 54], Operations: []
Exploring Operation: 44-20=24, Resulting Numbers: [10, 54, 24]
Generated Node #0,0: 100:[10, 54, 24] Operation: 44-20=24
Exploring Operation: 44+54=98, Resulting Numbers: [20, 10, 98]
Generated Node #0,1: 100:[20, 10, 98] Operation: 44+54=98
Exploring Operation: 54-44=10, Resulting Numbers: [20, 10, 10]
Generated Node #0,2: 100:[20, 10, 10] Operation: 54-44=10
Exploring Operation: 20-10=10, Resulting Numbers: [44, 54, 10]
Generated Node #0,3: 100:[44, 54, 10] Operation: 20-10=10
Exploring Operation: 10+44=54, Resulting Numbers: [20, 54, 54]
Generated Node #0,4: 100:[20, 54, 54] Operation: 10+44=54
Moving to Node #0,2
Current State: 100:[20, 10, 10], Operations: ['54-44=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20, 20]
Generated Node #0,2,0: 100:[20, 20] Operation: 10+10=20
Exploring Operation: 20-10=10, Resulting Numbers: [10, 10]
Generated Node #0,2,1: 100:[10, 10] Operation: 20-10=10
Exploring Operation: 20/10=2, Resulting Numbers: [10, 2]
Generated Node #0,2,2: 100:[10, 2] Operation: 20/10=2
Exploring Operation: 20/10=2, Resulting Numbers: [10, 2]
Generated Node #0,2,3: 100:[10, 2] Operation: 20/10=2
Exploring Operation: 20-10=10, Resulting Numbers: [10, 10]
Generated Node #0,2,4: 100:[10, 10] Operation: 20-10=10
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 100:[20, 20], Operations: ['54-44=10', '10+10=20']
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,100 unequal: No Solution
Exploring Operation: 20*20=400, Resulting Numbers: [400]
400,100 unequal: No Solution
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,100 unequal: No Solution
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 100:[10, 10], Operations: ['54-44=10', '20-10=10']
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,100 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[20, 10, 44, 54], Operations: []
Exploring Operation: 54-44=10, Resulting Numbers: [20, 10, 10]
Generated Node #0,2: 100:[20, 10, 10] Operation: 54-44=10
Moving to Node #0,2
Current State: 100:[20, 10, 10], Operations: ['54-44=10']
Exploring Operation: 20-10=10, Resulting Numbers: [10, 10]
Generated Node #0,2,1: 100:[10, 10] Operation: 20-10=10
Moving to Node #0,2,1
Current State: 100:[10, 10], Operations: ['54-44=10', '20-10=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
90,
40,
3,
54
] | 16 | [
"90/3=30",
"54-40=14",
"30-14=16"
] | Current State: 16:[90, 40, 3, 54], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [40, 54, 30]
Generated Node #2: [40, 54, 30] from Operation: 90/3=30
Current State: 16:[40, 54, 30], Operations: ['90/3=30']
Exploring Operation: 54-40=14, Resulting Numbers: [30, 14]
Generated Node #3: [30, 14] from Operation: 54-40=14
Current State: 16:[30, 14], Operations: ['90/3=30', '54-40=14']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[90, 40, 3, 54], Operations: []
Exploring Operation: 90-40=50, Resulting Numbers: [3, 54, 50]
Generated Node #0,0: 16:[3, 54, 50] Operation: 90-40=50
Exploring Operation: 90/3=30, Resulting Numbers: [40, 54, 30]
Generated Node #0,1: 16:[40, 54, 30] Operation: 90/3=30
Exploring Operation: 90-54=36, Resulting Numbers: [40, 3, 36]
Generated Node #0,2: 16:[40, 3, 36] Operation: 90-54=36
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[40, 3, 36], Operations: ['90-54=36']
Exploring Operation: 40-3=37, Resulting Numbers: [36, 37]
Generated Node #0,2,0: 16:[36, 37] Operation: 40-3=37
Exploring Operation: 40-36=4, Resulting Numbers: [3, 4]
Generated Node #0,2,1: 16:[3, 4] Operation: 40-36=4
Exploring Operation: 36/3=12, Resulting Numbers: [40, 12]
Generated Node #0,2,2: 16:[40, 12] Operation: 36/3=12
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 16:[3, 4], Operations: ['90-54=36', '40-36=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,16 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:[40, 12], Operations: ['90-54=36', '36/3=12']
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 40+12=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 40*12=480, Resulting Numbers: [480]
480,16 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:[36, 37], Operations: ['90-54=36', '40-3=37']
Exploring Operation: 36*37=1332, Resulting Numbers: [1332]
1332,16 unequal: No Solution
Exploring Operation: 36+37=73, Resulting Numbers: [73]
73,16 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,16 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 #0,0
Current State: 16:[3, 54, 50], Operations: ['90-40=50']
Exploring Operation: 54-50=4, Resulting Numbers: [3, 4]
Generated Node #0,0,0: 16:[3, 4] Operation: 54-50=4
Exploring Operation: 54/3=18, Resulting Numbers: [50, 18]
Generated Node #0,0,1: 16:[50, 18] Operation: 54/3=18
Exploring Operation: 54-3=51, Resulting Numbers: [50, 51]
Generated Node #0,0,2: 16:[50, 51] Operation: 54-3=51
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[3, 4], Operations: ['90-40=50', '54-50=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,16 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 #0,0,1
Current State: 16:[50, 18], Operations: ['90-40=50', '54/3=18']
Exploring Operation: 50+18=68, Resulting Numbers: [68]
68,16 unequal: No Solution
Exploring Operation: 50*18=900, Resulting Numbers: [900]
900,16 unequal: No Solution
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,16 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 #0,0,2
Current State: 16:[50, 51], Operations: ['90-40=50', '54-3=51']
Exploring Operation: 51-50=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 50*51=2550, Resulting Numbers: [2550]
2550,16 unequal: No Solution
Exploring Operation: 50+51=101, Resulting Numbers: [101]
101,16 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:[40, 54, 30], Operations: ['90/3=30']
Exploring Operation: 54-40=14, Resulting Numbers: [30, 14]
Generated Node #0,1,0: 16:[30, 14] Operation: 54-40=14
Exploring Operation: 54-30=24, Resulting Numbers: [40, 24]
Generated Node #0,1,1: 16:[40, 24] Operation: 54-30=24
Exploring Operation: 40-30=10, Resulting Numbers: [54, 10]
Generated Node #0,1,2: 16:[54, 10] Operation: 40-30=10
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 16:[30, 14], Operations: ['90/3=30', '54-40=14']
Exploring Operation: 30*14=420, Resulting Numbers: [420]
420,16 unequal: No Solution
Exploring Operation: 30+14=44, Resulting Numbers: [44]
44,16 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[90, 40, 3, 54], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [40, 54, 30]
Generated Node #0,1: 16:[40, 54, 30] Operation: 90/3=30
Moving to Node #0,1
Current State: 16:[40, 54, 30], Operations: ['90/3=30']
Exploring Operation: 54-40=14, Resulting Numbers: [30, 14]
Generated Node #0,1,0: 16:[30, 14] Operation: 54-40=14
Moving to Node #0,1,0
Current State: 16:[30, 14], Operations: ['90/3=30', '54-40=14']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_3 | sum_heuristic |
[
66,
21,
15,
65
] | 76 | [
"21-15=6",
"66/6=11",
"65+11=76"
] | Current State: 76:[66, 21, 15, 65], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [66, 65, 6]
Generated Node #2: [66, 65, 6] from Operation: 21-15=6
Current State: 76:[66, 65, 6], Operations: ['21-15=6']
Exploring Operation: 66/6=11, Resulting Numbers: [65, 11]
Generated Node #3: [65, 11] from Operation: 66/6=11
Current State: 76:[65, 11], Operations: ['21-15=6', '66/6=11']
Exploring Operation: 65+11=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[66, 21, 15, 65], Operations: []
Exploring Operation: 65-21=44, Resulting Numbers: [66, 15, 44]
Generated Node #0,0: 76:[66, 15, 44] Operation: 65-21=44
Exploring Operation: 66-21=45, Resulting Numbers: [15, 65, 45]
Generated Node #0,1: 76:[15, 65, 45] Operation: 66-21=45
Exploring Operation: 66-65=1, Resulting Numbers: [21, 15, 1]
Generated Node #0,2: 76:[21, 15, 1] Operation: 66-65=1
Exploring Operation: 15+65=80, Resulting Numbers: [66, 21, 80]
Generated Node #0,3: 76:[66, 21, 80] Operation: 15+65=80
Exploring Operation: 66+15=81, Resulting Numbers: [21, 65, 81]
Generated Node #0,4: 76:[21, 65, 81] Operation: 66+15=81
Moving to Node #0,2
Current State: 76:[21, 15, 1], Operations: ['66-65=1']
Exploring Operation: 21*1=21, Resulting Numbers: [15, 21]
Generated Node #0,2,0: 76:[15, 21] Operation: 21*1=21
Exploring Operation: 21-15=6, Resulting Numbers: [1, 6]
Generated Node #0,2,1: 76:[1, 6] Operation: 21-15=6
Exploring Operation: 15+1=16, Resulting Numbers: [21, 16]
Generated Node #0,2,2: 76:[21, 16] Operation: 15+1=16
Exploring Operation: 21+15=36, Resulting Numbers: [1, 36]
Generated Node #0,2,3: 76:[1, 36] Operation: 21+15=36
Exploring Operation: 21-1=20, Resulting Numbers: [15, 20]
Generated Node #0,2,4: 76:[15, 20] Operation: 21-1=20
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 76:[1, 6], Operations: ['66-65=1', '21-15=6']
Exploring Operation: 1+6=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 1*6=6, Resulting Numbers: [6]
6,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 76:[1, 36], Operations: ['66-65=1', '21+15=36']
Exploring Operation: 1+36=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,76 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 76:[21, 16], Operations: ['66-65=1', '15+1=16']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,76 unequal: No Solution
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 76:[15, 20], Operations: ['66-65=1', '21-1=20']
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 76:[15, 21], Operations: ['66-65=1', '21*1=21']
Exploring Operation: 15*21=315, Resulting Numbers: [315]
315,76 unequal: No Solution
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 15+21=36, Resulting Numbers: [36]
36,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 76:[66, 21, 80], Operations: ['15+65=80']
Exploring Operation: 21+80=101, Resulting Numbers: [66, 101]
Generated Node #0,3,0: 76:[66, 101] Operation: 21+80=101
Exploring Operation: 80-66=14, Resulting Numbers: [21, 14]
Generated Node #0,3,1: 76:[21, 14] Operation: 80-66=14
Exploring Operation: 66+21=87, Resulting Numbers: [80, 87]
Generated Node #0,3,2: 76:[80, 87] Operation: 66+21=87
Exploring Operation: 66-21=45, Resulting Numbers: [80, 45]
Generated Node #0,3,3: 76:[80, 45] Operation: 66-21=45
Exploring Operation: 80-21=59, Resulting Numbers: [66, 59]
Generated Node #0,3,4: 76:[66, 59] Operation: 80-21=59
Moving to Node #0,4
Current State: 76:[21, 65, 81], Operations: ['66+15=81']
Exploring Operation: 81-21=60, Resulting Numbers: [65, 60]
Generated Node #0,4,0: 76:[65, 60] Operation: 81-21=60
Exploring Operation: 81-65=16, Resulting Numbers: [21, 16]
Generated Node #0,4,1: 76:[21, 16] Operation: 81-65=16
Exploring Operation: 65-21=44, Resulting Numbers: [81, 44]
Generated Node #0,4,2: 76:[81, 44] Operation: 65-21=44
Exploring Operation: 21+81=102, Resulting Numbers: [65, 102]
Generated Node #0,4,3: 76:[65, 102] Operation: 21+81=102
Exploring Operation: 21+65=86, Resulting Numbers: [81, 86]
Generated Node #0,4,4: 76:[81, 86] Operation: 21+65=86
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 76:[21, 16], Operations: ['66+15=81', '81-65=16']
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 76:[81, 44], Operations: ['66+15=81', '65-21=44']
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 81+44=125, Resulting Numbers: [125]
125,76 unequal: No Solution
Exploring Operation: 81*44=3564, Resulting Numbers: [3564]
3564,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 76:[81, 86], Operations: ['66+15=81', '21+65=86']
Exploring Operation: 81*86=6966, Resulting Numbers: [6966]
6966,76 unequal: No Solution
Exploring Operation: 81+86=167, Resulting Numbers: [167]
167,76 unequal: No Solution
Exploring Operation: 86-81=5, Resulting Numbers: [5]
5,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 76:[65, 60], Operations: ['66+15=81', '81-21=60']
Exploring Operation: 65+60=125, Resulting Numbers: [125]
125,76 unequal: No Solution
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 65*60=3900, Resulting Numbers: [3900]
3900,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 76:[65, 102], Operations: ['66+15=81', '21+81=102']
Exploring Operation: 65+102=167, Resulting Numbers: [167]
167,76 unequal: No Solution
Exploring Operation: 102-65=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 65*102=6630, Resulting Numbers: [6630]
6630,76 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: 76:[66, 15, 44], Operations: ['65-21=44']
Exploring Operation: 66+15=81, Resulting Numbers: [44, 81]
Generated Node #0,0,0: 76:[44, 81] Operation: 66+15=81
Exploring Operation: 66-15=51, Resulting Numbers: [44, 51]
Generated Node #0,0,1: 76:[44, 51] Operation: 66-15=51
Exploring Operation: 15+44=59, Resulting Numbers: [66, 59]
Generated Node #0,0,2: 76:[66, 59] Operation: 15+44=59
Exploring Operation: 44-15=29, Resulting Numbers: [66, 29]
Generated Node #0,0,3: 76:[66, 29] Operation: 44-15=29
Exploring Operation: 66-44=22, Resulting Numbers: [15, 22]
Generated Node #0,0,4: 76:[15, 22] Operation: 66-44=22
Moving to Node #0,1
Current State: 76:[15, 65, 45], Operations: ['66-21=45']
Exploring Operation: 65-45=20, Resulting Numbers: [15, 20]
Generated Node #0,1,0: 76:[15, 20] Operation: 65-45=20
Exploring Operation: 15+65=80, Resulting Numbers: [45, 80]
Generated Node #0,1,1: 76:[45, 80] Operation: 15+65=80
Exploring Operation: 45/15=3, Resulting Numbers: [65, 3]
Generated Node #0,1,2: 76:[65, 3] Operation: 45/15=3
Exploring Operation: 65-15=50, Resulting Numbers: [45, 50]
Generated Node #0,1,3: 76:[45, 50] Operation: 65-15=50
Exploring Operation: 45-15=30, Resulting Numbers: [65, 30]
Generated Node #0,1,4: 76:[65, 30] Operation: 45-15=30
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[15, 20], Operations: ['66-21=45', '65-45=20']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 76:[45, 80], Operations: ['66-21=45', '15+65=80']
Exploring Operation: 45+80=125, Resulting Numbers: [125]
125,76 unequal: No Solution
Exploring Operation: 80-45=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 45*80=3600, Resulting Numbers: [3600]
3600,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 76:[65, 3], Operations: ['66-21=45', '45/15=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Exploring Operation: 65*3=195, Resulting Numbers: [195]
195,76 unequal: No Solution
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 76:[45, 50], Operations: ['66-21=45', '65-15=50']
Exploring Operation: 45+50=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 45*50=2250, Resulting Numbers: [2250]
2250,76 unequal: No Solution
Exploring Operation: 50-45=5, Resulting Numbers: [5]
5,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 76:[65, 30], Operations: ['66-21=45', '45-15=30']
Exploring Operation: 65+30=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 65*30=1950, Resulting Numbers: [1950]
1950,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 76:[21, 14], Operations: ['15+65=80', '80-66=14']
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 21+14=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 21*14=294, Resulting Numbers: [294]
294,76 unequal: No Solution
Moving to Node #0,0,4
Current State: 76:[15, 22], Operations: ['65-21=44', '66-44=22']
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 15*22=330, Resulting Numbers: [330]
330,76 unequal: No Solution
Exploring Operation: 15+22=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[44, 81], Operations: ['65-21=44', '66+15=81']
Exploring Operation: 44+81=125, Resulting Numbers: [125]
125,76 unequal: No Solution
Exploring Operation: 44*81=3564, Resulting Numbers: [3564]
3564,76 unequal: No Solution
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[80, 45], Operations: ['15+65=80', '66-21=45']
Exploring Operation: 80+45=125, Resulting Numbers: [125]
125,76 unequal: No Solution
Exploring Operation: 80-45=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 80*45=3600, Resulting Numbers: [3600]
3600,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[80, 87], Operations: ['15+65=80', '66+21=87']
Exploring Operation: 80+87=167, Resulting Numbers: [167]
167,76 unequal: No Solution
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 80*87=6960, Resulting Numbers: [6960]
6960,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[66, 29], Operations: ['65-21=44', '44-15=29']
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,76 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[44, 51], Operations: ['65-21=44', '66-15=51']
Exploring Operation: 44+51=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 44*51=2244, Resulting Numbers: [2244]
2244,76 unequal: No Solution
Exploring Operation: 51-44=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,3,4
Current State: 76:[66, 59], Operations: ['15+65=80', '80-21=59']
Exploring Operation: 66+59=125, Resulting Numbers: [125]
125,76 unequal: No Solution
Exploring Operation: 66*59=3894, Resulting Numbers: [3894]
3894,76 unequal: No Solution
Exploring Operation: 66-59=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[66, 59], Operations: ['65-21=44', '15+44=59']
Exploring Operation: 66+59=125, Resulting Numbers: [125]
125,76 unequal: No Solution
Exploring Operation: 66*59=3894, Resulting Numbers: [3894]
3894,76 unequal: No Solution
Exploring Operation: 66-59=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,3,0
Current State: 76:[66, 101], Operations: ['15+65=80', '21+80=101']
Exploring Operation: 66*101=6666, Resulting Numbers: [6666]
6666,76 unequal: No Solution
Exploring Operation: 101-66=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 66+101=167, Resulting Numbers: [167]
167,76 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
96,
64,
45,
72
] | 56 | [
"64*45=2880",
"2880/72=40",
"96-40=56"
] | Current State: 56:[96, 64, 45, 72], Operations: []
Exploring Operation: 64*45=2880, Resulting Numbers: [96, 72, 2880]
Generated Node #2: [96, 72, 2880] from Operation: 64*45=2880
Current State: 56:[96, 72, 2880], Operations: ['64*45=2880']
Exploring Operation: 2880/72=40, Resulting Numbers: [96, 40]
Generated Node #3: [96, 40] from Operation: 2880/72=40
Current State: 56:[96, 40], Operations: ['64*45=2880', '2880/72=40']
Exploring Operation: 96-40=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[96, 64, 45, 72], Operations: []
Exploring Operation: 96-72=24, Resulting Numbers: [64, 45, 24]
Generated Node #0,0: 56:[64, 45, 24] Operation: 96-72=24
Exploring Operation: 96-45=51, Resulting Numbers: [64, 72, 51]
Generated Node #0,1: 56:[64, 72, 51] Operation: 96-45=51
Exploring Operation: 96-64=32, Resulting Numbers: [45, 72, 32]
Generated Node #0,2: 56:[45, 72, 32] Operation: 96-64=32
Moving to Node #0,0
Current State: 56:[64, 45, 24], Operations: ['96-72=24']
Exploring Operation: 45-24=21, Resulting Numbers: [64, 21]
Generated Node #0,0,0: 56:[64, 21] Operation: 45-24=21
Exploring Operation: 64-45=19, Resulting Numbers: [24, 19]
Generated Node #0,0,1: 56:[24, 19] Operation: 64-45=19
Exploring Operation: 45+24=69, Resulting Numbers: [64, 69]
Generated Node #0,0,2: 56:[64, 69] Operation: 45+24=69
Moving to Node #0,1
Current State: 56:[64, 72, 51], Operations: ['96-45=51']
Exploring Operation: 72-51=21, Resulting Numbers: [64, 21]
Generated Node #0,1,0: 56:[64, 21] Operation: 72-51=21
Exploring Operation: 72-64=8, Resulting Numbers: [51, 8]
Generated Node #0,1,1: 56:[51, 8] Operation: 72-64=8
Exploring Operation: 64-51=13, Resulting Numbers: [72, 13]
Generated Node #0,1,2: 56:[72, 13] Operation: 64-51=13
Moving to Node #0,2
Current State: 56:[45, 72, 32], Operations: ['96-64=32']
Exploring Operation: 72-45=27, Resulting Numbers: [32, 27]
Generated Node #0,2,0: 56:[32, 27] Operation: 72-45=27
Exploring Operation: 72-32=40, Resulting Numbers: [45, 40]
Generated Node #0,2,1: 56:[45, 40] Operation: 72-32=40
Exploring Operation: 45-32=13, Resulting Numbers: [72, 13]
Generated Node #0,2,2: 56:[72, 13] Operation: 45-32=13
Moving to Node #0,1,1
Current State: 56:[51, 8], Operations: ['96-45=51', '72-64=8']
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,56 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,56 unequal: No Solution
Exploring Operation: 51*8=408, Resulting Numbers: [408]
408,56 unequal: No Solution
Moving to Node #0,2,0
Current State: 56:[32, 27], Operations: ['96-64=32', '72-45=27']
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 32*27=864, Resulting Numbers: [864]
864,56 unequal: No Solution
Exploring Operation: 32+27=59, Resulting Numbers: [59]
59,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[24, 19], Operations: ['96-72=24', '64-45=19']
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,56 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[64, 21], Operations: ['96-45=51', '72-51=21']
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,56 unequal: No Solution
Exploring Operation: 64+21=85, Resulting Numbers: [85]
85,56 unequal: No Solution
Exploring Operation: 64*21=1344, Resulting Numbers: [1344]
1344,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[64, 21], Operations: ['96-72=24', '45-24=21']
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,56 unequal: No Solution
Exploring Operation: 64*21=1344, Resulting Numbers: [1344]
1344,56 unequal: No Solution
Exploring Operation: 64+21=85, Resulting Numbers: [85]
85,56 unequal: No Solution
Moving to Node #0,1,2
Current State: 56:[72, 13], Operations: ['96-45=51', '64-51=13']
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,56 unequal: No Solution
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,56 unequal: No Solution
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[72, 13], Operations: ['96-64=32', '45-32=13']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,56 unequal: No Solution
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,56 unequal: No Solution
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[64, 69], Operations: ['96-72=24', '45+24=69']
Exploring Operation: 64+69=133, Resulting Numbers: [133]
133,56 unequal: No Solution
Exploring Operation: 69-64=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 64*69=4416, Resulting Numbers: [4416]
4416,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[45, 40], Operations: ['96-64=32', '72-32=40']
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,56 unequal: No Solution
Exploring Operation: 45*40=1800, Resulting Numbers: [1800]
1800,56 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
50,
40,
26,
64
] | 25 | [
"40+26=66",
"66-64=2",
"50/2=25"
] | Current State: 25:[50, 40, 26, 64], Operations: []
Exploring Operation: 40+26=66, Resulting Numbers: [50, 64, 66]
Generated Node #2: [50, 64, 66] from Operation: 40+26=66
Current State: 25:[50, 64, 66], Operations: ['40+26=66']
Exploring Operation: 66-64=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 66-64=2
Current State: 25:[50, 2], Operations: ['40+26=66', '66-64=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[50, 40, 26, 64], Operations: []
Exploring Operation: 64-40=24, Resulting Numbers: [50, 26, 24]
Generated Node #0,0: 25:[50, 26, 24] Operation: 64-40=24
Exploring Operation: 50-40=10, Resulting Numbers: [26, 64, 10]
Generated Node #0,1: 25:[26, 64, 10] Operation: 50-40=10
Exploring Operation: 64-26=38, Resulting Numbers: [50, 40, 38]
Generated Node #0,2: 25:[50, 40, 38] Operation: 64-26=38
Exploring Operation: 64-50=14, Resulting Numbers: [40, 26, 14]
Generated Node #0,3: 25:[40, 26, 14] Operation: 64-50=14
Start Sub Search at level 1: Moving to Node #0,3
Current State: 25:[40, 26, 14], Operations: ['64-50=14']
Exploring Operation: 40+14=54, Resulting Numbers: [26, 54]
Generated Node #0,3,0: 25:[26, 54] Operation: 40+14=54
Exploring Operation: 26-14=12, Resulting Numbers: [40, 12]
Generated Node #0,3,1: 25:[40, 12] Operation: 26-14=12
Exploring Operation: 40-26=14, Resulting Numbers: [14, 14]
Generated Node #0,3,2: 25:[14, 14] Operation: 40-26=14
Exploring Operation: 40-14=26, Resulting Numbers: [26, 26]
Generated Node #0,3,3: 25:[26, 26] Operation: 40-14=26
Moving to Node #0,3,3
Current State: 25:[26, 26], Operations: ['64-50=14', '40-14=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,25 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,25 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Moving to Node #0,3,2
Current State: 25:[14, 14], Operations: ['64-50=14', '40-26=14']
Exploring Operation: 14*14=196, Resulting Numbers: [196]
196,25 unequal: No Solution
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Exploring Operation: 14-14=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 14/14=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Moving to Node #0,3,1
Current State: 25:[40, 12], Operations: ['64-50=14', '26-14=12']
Exploring Operation: 40*12=480, Resulting Numbers: [480]
480,25 unequal: No Solution
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Exploring Operation: 40+12=52, Resulting Numbers: [52]
52,25 unequal: No Solution
Moving to Node #0,3,0
Current State: 25:[26, 54], Operations: ['64-50=14', '40+14=54']
Exploring Operation: 26+54=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 26*54=1404, Resulting Numbers: [1404]
1404,25 unequal: No Solution
Exploring Operation: 54-26=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
Current State: 25:[50, 26, 24], Operations: ['64-40=24']
Exploring Operation: 26-24=2, Resulting Numbers: [50, 2]
Generated Node #0,0,0: 25:[50, 2] Operation: 26-24=2
Exploring Operation: 50-26=24, Resulting Numbers: [24, 24]
Generated Node #0,0,1: 25:[24, 24] Operation: 50-26=24
Exploring Operation: 50+24=74, Resulting Numbers: [26, 74]
Generated Node #0,0,2: 25:[26, 74] Operation: 50+24=74
Exploring Operation: 50-24=26, Resulting Numbers: [26, 26]
Generated Node #0,0,3: 25:[26, 26] Operation: 50-24=26
Moving to Node #0,0,1
Current State: 25:[24, 24], Operations: ['64-40=24', '50-26=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,25 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,25 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[26, 26], Operations: ['64-40=24', '50-24=26']
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,25 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,25 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[50, 2], Operations: ['64-40=24', '26-24=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,25 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,25 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,25 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[50, 40, 26, 64], Operations: []
Exploring Operation: 64-40=24, Resulting Numbers: [50, 26, 24]
Generated Node #0,0: 25:[50, 26, 24] Operation: 64-40=24
Moving to Node #0,0
Current State: 25:[50, 26, 24], Operations: ['64-40=24']
Exploring Operation: 26-24=2, Resulting Numbers: [50, 2]
Generated Node #0,0,0: 25:[50, 2] Operation: 26-24=2
Moving to Node #0,0,0
Current State: 25:[50, 2], Operations: ['64-40=24', '26-24=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_4 | mult_heuristic |
[
91,
96,
9,
70
] | 25 | [
"96-91=5",
"9*5=45",
"70-45=25"
] | Current State: 25:[91, 96, 9, 70], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [9, 70, 5]
Generated Node #2: [9, 70, 5] from Operation: 96-91=5
Current State: 25:[9, 70, 5], Operations: ['96-91=5']
Exploring Operation: 9*5=45, Resulting Numbers: [70, 45]
Generated Node #3: [70, 45] from Operation: 9*5=45
Current State: 25:[70, 45], Operations: ['96-91=5', '9*5=45']
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[91, 96, 9, 70], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [9, 70, 5]
Generated Node #0,0: 25:[9, 70, 5] Operation: 96-91=5
Exploring Operation: 96-70=26, Resulting Numbers: [91, 9, 26]
Generated Node #0,1: 25:[91, 9, 26] Operation: 96-70=26
Exploring Operation: 91-9=82, Resulting Numbers: [96, 70, 82]
Generated Node #0,2: 25:[96, 70, 82] Operation: 91-9=82
Exploring Operation: 91-70=21, Resulting Numbers: [96, 9, 21]
Generated Node #0,3: 25:[96, 9, 21] Operation: 91-70=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[9, 70, 5], Operations: ['96-91=5']
Exploring Operation: 70-9=61, Resulting Numbers: [5, 61]
Generated Node #0,0,0: 25:[5, 61] Operation: 70-9=61
Exploring Operation: 70-5=65, Resulting Numbers: [9, 65]
Generated Node #0,0,1: 25:[9, 65] Operation: 70-5=65
Exploring Operation: 9-5=4, Resulting Numbers: [70, 4]
Generated Node #0,0,2: 25:[70, 4] Operation: 9-5=4
Exploring Operation: 70/5=14, Resulting Numbers: [9, 14]
Generated Node #0,0,3: 25:[9, 14] Operation: 70/5=14
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 25:[9, 14], Operations: ['96-91=5', '70/5=14']
Exploring Operation: 9*14=126, Resulting Numbers: [126]
126,25 unequal: No Solution
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[5, 61], Operations: ['96-91=5', '70-9=61']
Exploring Operation: 5*61=305, Resulting Numbers: [305]
305,25 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 25:[9, 65], Operations: ['96-91=5', '70-5=65']
Exploring Operation: 9*65=585, Resulting Numbers: [585]
585,25 unequal: No Solution
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 25:[70, 4], Operations: ['96-91=5', '9-5=4']
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,25 unequal: No Solution
Exploring Operation: 70*4=280, Resulting Numbers: [280]
280,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[91, 9, 26], Operations: ['96-70=26']
Exploring Operation: 91-9=82, Resulting Numbers: [26, 82]
Generated Node #0,1,0: 25:[26, 82] Operation: 91-9=82
Exploring Operation: 91-26=65, Resulting Numbers: [9, 65]
Generated Node #0,1,1: 25:[9, 65] Operation: 91-26=65
Exploring Operation: 91+9=100, Resulting Numbers: [26, 100]
Generated Node #0,1,2: 25:[26, 100] Operation: 91+9=100
Exploring Operation: 26-9=17, Resulting Numbers: [91, 17]
Generated Node #0,1,3: 25:[91, 17] Operation: 26-9=17
Moving to Node #0,1,1
Current State: 25:[9, 65], Operations: ['96-70=26', '91-26=65']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 9*65=585, Resulting Numbers: [585]
585,25 unequal: No Solution
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[26, 82], Operations: ['96-70=26', '91-9=82']
Exploring Operation: 82-26=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 26*82=2132, Resulting Numbers: [2132]
2132,25 unequal: No Solution
Exploring Operation: 26+82=108, Resulting Numbers: [108]
108,25 unequal: No Solution
Moving to Node #0,1,3
Current State: 25:[91, 17], Operations: ['96-70=26', '26-9=17']
Exploring Operation: 91-17=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 91*17=1547, Resulting Numbers: [1547]
1547,25 unequal: No Solution
Exploring Operation: 91+17=108, Resulting Numbers: [108]
108,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[26, 100], Operations: ['96-70=26', '91+9=100']
Exploring Operation: 26*100=2600, Resulting Numbers: [2600]
2600,25 unequal: No Solution
Exploring Operation: 26+100=126, Resulting Numbers: [126]
126,25 unequal: No Solution
Exploring Operation: 100-26=74, Resulting Numbers: [74]
74,25 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
Current State: 25:[96, 9, 21], Operations: ['91-70=21']
Exploring Operation: 96-21=75, Resulting Numbers: [9, 75]
Generated Node #0,3,0: 25:[9, 75] Operation: 96-21=75
Exploring Operation: 9+21=30, Resulting Numbers: [96, 30]
Generated Node #0,3,1: 25:[96, 30] Operation: 9+21=30
Exploring Operation: 21-9=12, Resulting Numbers: [96, 12]
Generated Node #0,3,2: 25:[96, 12] Operation: 21-9=12
Exploring Operation: 96-9=87, Resulting Numbers: [21, 87]
Generated Node #0,3,3: 25:[21, 87] Operation: 96-9=87
Moving to Node #0,3,0
Current State: 25:[9, 75], Operations: ['91-70=21', '96-21=75']
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,25 unequal: No Solution
Exploring Operation: 9*75=675, Resulting Numbers: [675]
675,25 unequal: No Solution
Exploring Operation: 9+75=84, Resulting Numbers: [84]
84,25 unequal: No Solution
Moving to Node #0,3,3
Current State: 25:[21, 87], Operations: ['91-70=21', '96-9=87']
Exploring Operation: 21*87=1827, Resulting Numbers: [1827]
1827,25 unequal: No Solution
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,25 unequal: No Solution
Exploring Operation: 21+87=108, Resulting Numbers: [108]
108,25 unequal: No Solution
Moving to Node #0,3,1
Current State: 25:[96, 30], Operations: ['91-70=21', '9+21=30']
Exploring Operation: 96+30=126, Resulting Numbers: [126]
126,25 unequal: No Solution
Exploring Operation: 96*30=2880, Resulting Numbers: [2880]
2880,25 unequal: No Solution
Exploring Operation: 96-30=66, Resulting Numbers: [66]
66,25 unequal: No Solution
Moving to Node #0,3,2
Current State: 25:[96, 12], Operations: ['91-70=21', '21-9=12']
Exploring Operation: 96/12=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 96*12=1152, Resulting Numbers: [1152]
1152,25 unequal: No Solution
Exploring Operation: 96+12=108, Resulting Numbers: [108]
108,25 unequal: No Solution
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,25 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 #0,2
Current State: 25:[96, 70, 82], Operations: ['91-9=82']
Exploring Operation: 96+70=166, Resulting Numbers: [82, 166]
Generated Node #0,2,0: 25:[82, 166] Operation: 96+70=166
Exploring Operation: 82-70=12, Resulting Numbers: [96, 12]
Generated Node #0,2,1: 25:[96, 12] Operation: 82-70=12
Exploring Operation: 96-70=26, Resulting Numbers: [82, 26]
Generated Node #0,2,2: 25:[82, 26] Operation: 96-70=26
Exploring Operation: 96-82=14, Resulting Numbers: [70, 14]
Generated Node #0,2,3: 25:[70, 14] Operation: 96-82=14
Moving to Node #0,2,3
Current State: 25:[70, 14], Operations: ['91-9=82', '96-82=14']
Exploring Operation: 70/14=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 70-14=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 70+14=84, Resulting Numbers: [84]
84,25 unequal: No Solution
Exploring Operation: 70*14=980, Resulting Numbers: [980]
980,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[82, 26], Operations: ['91-9=82', '96-70=26']
Exploring Operation: 82-26=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 82*26=2132, Resulting Numbers: [2132]
2132,25 unequal: No Solution
Exploring Operation: 82+26=108, Resulting Numbers: [108]
108,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[96, 12], Operations: ['91-9=82', '82-70=12']
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,25 unequal: No Solution
Exploring Operation: 96*12=1152, Resulting Numbers: [1152]
1152,25 unequal: No Solution
Exploring Operation: 96+12=108, Resulting Numbers: [108]
108,25 unequal: No Solution
Exploring Operation: 96/12=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[82, 166], Operations: ['91-9=82', '96+70=166']
Exploring Operation: 82*166=13612, Resulting Numbers: [13612]
13612,25 unequal: No Solution
Exploring Operation: 166-82=84, Resulting Numbers: [84]
84,25 unequal: No Solution
Exploring Operation: 82+166=248, Resulting Numbers: [248]
248,25 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 |
[
20,
56,
30,
50
] | 65 | [
"56-30=26",
"50*26=1300",
"1300/20=65"
] | Current State: 65:[20, 56, 30, 50], Operations: []
Exploring Operation: 56-30=26, Resulting Numbers: [20, 50, 26]
Generated Node #2: [20, 50, 26] from Operation: 56-30=26
Current State: 65:[20, 50, 26], Operations: ['56-30=26']
Exploring Operation: 50*26=1300, Resulting Numbers: [20, 1300]
Generated Node #3: [20, 1300] from Operation: 50*26=1300
Current State: 65:[20, 1300], Operations: ['56-30=26', '50*26=1300']
Exploring Operation: 1300/20=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[20, 56, 30, 50], Operations: []
Exploring Operation: 30-20=10, Resulting Numbers: [56, 50, 10]
Generated Node #0,0: 65:[56, 50, 10] Operation: 30-20=10
Exploring Operation: 50-30=20, Resulting Numbers: [20, 56, 20]
Generated Node #0,1: 65:[20, 56, 20] Operation: 50-30=20
Exploring Operation: 56-50=6, Resulting Numbers: [20, 30, 6]
Generated Node #0,2: 65:[20, 30, 6] Operation: 56-50=6
Moving to Node #0,1
Current State: 65:[20, 56, 20], Operations: ['50-30=20']
Exploring Operation: 20+56=76, Resulting Numbers: [20, 76]
Generated Node #0,1,0: 65:[20, 76] Operation: 20+56=76
Exploring Operation: 20/20=1, Resulting Numbers: [56, 1]
Generated Node #0,1,1: 65:[56, 1] Operation: 20/20=1
Exploring Operation: 20-20=0, Resulting Numbers: [56, 0]
Generated Node #0,1,2: 65:[56, 0] Operation: 20-20=0
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[56, 1], Operations: ['50-30=20', '20/20=1']
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,65 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 65:[56, 0], Operations: ['50-30=20', '20-20=0']
Exploring Operation: 56-0=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 56+0=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 56*0=0, Resulting Numbers: [0]
0,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 65:[20, 76], Operations: ['50-30=20', '20+56=76']
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 20+76=96, Resulting Numbers: [96]
96,65 unequal: No Solution
Exploring Operation: 20*76=1520, Resulting Numbers: [1520]
1520,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 65:[20, 30, 6], Operations: ['56-50=6']
Exploring Operation: 30/6=5, Resulting Numbers: [20, 5]
Generated Node #0,2,0: 65:[20, 5] Operation: 30/6=5
Exploring Operation: 30-20=10, Resulting Numbers: [6, 10]
Generated Node #0,2,1: 65:[6, 10] Operation: 30-20=10
Exploring Operation: 20+30=50, Resulting Numbers: [6, 50]
Generated Node #0,2,2: 65:[6, 50] Operation: 20+30=50
Moving to Node #0,0
Current State: 65:[56, 50, 10], Operations: ['30-20=10']
Exploring Operation: 56-50=6, Resulting Numbers: [10, 6]
Generated Node #0,0,0: 65:[10, 6] Operation: 56-50=6
Exploring Operation: 50+10=60, Resulting Numbers: [56, 60]
Generated Node #0,0,1: 65:[56, 60] Operation: 50+10=60
Exploring Operation: 50/10=5, Resulting Numbers: [56, 5]
Generated Node #0,0,2: 65:[56, 5] Operation: 50/10=5
Moving to Node #0,2,1
Current State: 65:[6, 10], Operations: ['56-50=6', '30-20=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[10, 6], Operations: ['30-20=10', '56-50=6']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[20, 5], Operations: ['56-50=6', '30/6=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,65 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[56, 5], Operations: ['30-20=10', '50/10=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,65 unequal: No Solution
Exploring Operation: 56*5=280, Resulting Numbers: [280]
280,65 unequal: No Solution
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[56, 60], Operations: ['30-20=10', '50+10=60']
Exploring Operation: 56*60=3360, Resulting Numbers: [3360]
3360,65 unequal: No Solution
Exploring Operation: 56+60=116, Resulting Numbers: [116]
116,65 unequal: No Solution
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[6, 50], Operations: ['56-50=6', '20+30=50']
Exploring Operation: 6*50=300, Resulting Numbers: [300]
300,65 unequal: No Solution
Exploring Operation: 6+50=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,65 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
43,
25,
33,
91
] | 86 | [
"91-25=66",
"43*66=2838",
"2838/33=86"
] | Current State: 86:[43, 25, 33, 91], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [43, 33, 66]
Generated Node #2: [43, 33, 66] from Operation: 91-25=66
Current State: 86:[43, 33, 66], Operations: ['91-25=66']
Exploring Operation: 43*66=2838, Resulting Numbers: [33, 2838]
Generated Node #3: [33, 2838] from Operation: 43*66=2838
Current State: 86:[33, 2838], Operations: ['91-25=66', '43*66=2838']
Exploring Operation: 2838/33=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[43, 25, 33, 91], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [43, 33, 66]
Generated Node #0,0: 86:[43, 33, 66] Operation: 91-25=66
Exploring Operation: 33-25=8, Resulting Numbers: [43, 91, 8]
Generated Node #0,1: 86:[43, 91, 8] Operation: 33-25=8
Exploring Operation: 43-25=18, Resulting Numbers: [33, 91, 18]
Generated Node #0,2: 86:[33, 91, 18] Operation: 43-25=18
Exploring Operation: 25+33=58, Resulting Numbers: [43, 91, 58]
Generated Node #0,3: 86:[43, 91, 58] Operation: 25+33=58
Exploring Operation: 43-33=10, Resulting Numbers: [25, 91, 10]
Generated Node #0,4: 86:[25, 91, 10] Operation: 43-33=10
Moving to Node #0,1
Current State: 86:[43, 91, 8], Operations: ['33-25=8']
Exploring Operation: 91-8=83, Resulting Numbers: [43, 83]
Generated Node #0,1,0: 86:[43, 83] Operation: 91-8=83
Exploring Operation: 43+8=51, Resulting Numbers: [91, 51]
Generated Node #0,1,1: 86:[91, 51] Operation: 43+8=51
Exploring Operation: 91+8=99, Resulting Numbers: [43, 99]
Generated Node #0,1,2: 86:[43, 99] Operation: 91+8=99
Exploring Operation: 91-43=48, Resulting Numbers: [8, 48]
Generated Node #0,1,3: 86:[8, 48] Operation: 91-43=48
Exploring Operation: 43-8=35, Resulting Numbers: [91, 35]
Generated Node #0,1,4: 86:[91, 35] Operation: 43-8=35
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[43, 83], Operations: ['33-25=8', '91-8=83']
Exploring Operation: 83-43=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 43+83=126, Resulting Numbers: [126]
126,86 unequal: No Solution
Exploring Operation: 43*83=3569, Resulting Numbers: [3569]
3569,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 86:[8, 48], Operations: ['33-25=8', '91-43=48']
Exploring Operation: 8*48=384, Resulting Numbers: [384]
384,86 unequal: No Solution
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,86 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[91, 51], Operations: ['33-25=8', '43+8=51']
Exploring Operation: 91*51=4641, Resulting Numbers: [4641]
4641,86 unequal: No Solution
Exploring Operation: 91-51=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 91+51=142, Resulting Numbers: [142]
142,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[43, 99], Operations: ['33-25=8', '91+8=99']
Exploring Operation: 99-43=56, Resulting Numbers: [56]
56,86 unequal: No Solution
Exploring Operation: 43+99=142, Resulting Numbers: [142]
142,86 unequal: No Solution
Exploring Operation: 43*99=4257, Resulting Numbers: [4257]
4257,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 86:[91, 35], Operations: ['33-25=8', '43-8=35']
Exploring Operation: 91*35=3185, Resulting Numbers: [3185]
3185,86 unequal: No Solution
Exploring Operation: 91+35=126, Resulting Numbers: [126]
126,86 unequal: No Solution
Exploring Operation: 91-35=56, Resulting Numbers: [56]
56,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 86:[43, 91, 58], Operations: ['25+33=58']
Exploring Operation: 91-58=33, Resulting Numbers: [43, 33]
Generated Node #0,3,0: 86:[43, 33] Operation: 91-58=33
Exploring Operation: 43+91=134, Resulting Numbers: [58, 134]
Generated Node #0,3,1: 86:[58, 134] Operation: 43+91=134
Exploring Operation: 91-43=48, Resulting Numbers: [58, 48]
Generated Node #0,3,2: 86:[58, 48] Operation: 91-43=48
Exploring Operation: 43+58=101, Resulting Numbers: [91, 101]
Generated Node #0,3,3: 86:[91, 101] Operation: 43+58=101
Exploring Operation: 58-43=15, Resulting Numbers: [91, 15]
Generated Node #0,3,4: 86:[91, 15] Operation: 58-43=15
Moving to Node #0,0
Current State: 86:[43, 33, 66], Operations: ['91-25=66']
Exploring Operation: 43+33=76, Resulting Numbers: [66, 76]
Generated Node #0,0,0: 86:[66, 76] Operation: 43+33=76
Exploring Operation: 33+66=99, Resulting Numbers: [43, 99]
Generated Node #0,0,1: 86:[43, 99] Operation: 33+66=99
Exploring Operation: 43-33=10, Resulting Numbers: [66, 10]
Generated Node #0,0,2: 86:[66, 10] Operation: 43-33=10
Exploring Operation: 66/33=2, Resulting Numbers: [43, 2]
Generated Node #0,0,3: 86:[43, 2] Operation: 66/33=2
Exploring Operation: 66-33=33, Resulting Numbers: [43, 33]
Generated Node #0,0,4: 86:[43, 33] Operation: 66-33=33
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 86:[43, 2], Operations: ['91-25=66', '66/33=2']
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[43, 25, 33, 91], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [43, 33, 66]
Generated Node #0,0: 86:[43, 33, 66] Operation: 91-25=66
Moving to Node #0,0
Current State: 86:[43, 33, 66], Operations: ['91-25=66']
Exploring Operation: 66/33=2, Resulting Numbers: [43, 2]
Generated Node #0,0,3: 86:[43, 2] Operation: 66/33=2
Moving to Node #0,0,3
Current State: 86:[43, 2], Operations: ['91-25=66', '66/33=2']
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_5 | sum_heuristic |
[
6,
1,
89,
81
] | 54 | [
"1+89=90",
"90-81=9",
"6*9=54"
] | Current State: 54:[6, 1, 89, 81], Operations: []
Exploring Operation: 1+89=90, Resulting Numbers: [6, 81, 90]
Generated Node #2: [6, 81, 90] from Operation: 1+89=90
Current State: 54:[6, 81, 90], Operations: ['1+89=90']
Exploring Operation: 90-81=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 90-81=9
Current State: 54:[6, 9], Operations: ['1+89=90', '90-81=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[6, 1, 89, 81], Operations: []
Exploring Operation: 89-6=83, Resulting Numbers: [1, 81, 83]
Generated Node #0,0: 54:[1, 81, 83] Operation: 89-6=83
Exploring Operation: 89-81=8, Resulting Numbers: [6, 1, 8]
Generated Node #0,1: 54:[6, 1, 8] Operation: 89-81=8
Moving to Node #0,1
Current State: 54:[6, 1, 8], Operations: ['89-81=8']
Exploring Operation: 6*1=6, Resulting Numbers: [8, 6]
Generated Node #0,1,0: 54:[8, 6] Operation: 6*1=6
Exploring Operation: 1+8=9, Resulting Numbers: [6, 9]
Generated Node #0,1,1: 54:[6, 9] Operation: 1+8=9
Moving to Node #0,0
Current State: 54:[1, 81, 83], Operations: ['89-6=83']
Exploring Operation: 81-1=80, Resulting Numbers: [83, 80]
Generated Node #0,0,0: 54:[83, 80] Operation: 81-1=80
Exploring Operation: 83-81=2, Resulting Numbers: [1, 2]
Generated Node #0,0,1: 54:[1, 2] Operation: 83-81=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[1, 2], Operations: ['89-6=83', '83-81=2']
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[83, 80], Operations: ['89-6=83', '81-1=80']
Exploring Operation: 83+80=163, Resulting Numbers: [163]
163,54 unequal: No Solution
Exploring Operation: 83-80=3, Resulting Numbers: [3]
3,54 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: 54:[6, 9], Operations: ['89-81=8', '1+8=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[6, 1, 89, 81], Operations: []
Exploring Operation: 89-81=8, Resulting Numbers: [6, 1, 8]
Generated Node #0,1: 54:[6, 1, 8] Operation: 89-81=8
Moving to Node #0,1
Current State: 54:[6, 1, 8], Operations: ['89-81=8']
Exploring Operation: 1+8=9, Resulting Numbers: [6, 9]
Generated Node #0,1,1: 54:[6, 9] Operation: 1+8=9
Moving to Node #0,1,1
Current State: 54:[6, 9], Operations: ['89-81=8', '1+8=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
84,
26,
3,
25
] | 11 | [
"84-26=58",
"58-25=33",
"33/3=11"
] | Current State: 11:[84, 26, 3, 25], Operations: []
Exploring Operation: 84-26=58, Resulting Numbers: [3, 25, 58]
Generated Node #2: [3, 25, 58] from Operation: 84-26=58
Current State: 11:[3, 25, 58], Operations: ['84-26=58']
Exploring Operation: 58-25=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 58-25=33
Current State: 11:[3, 33], Operations: ['84-26=58', '58-25=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[84, 26, 3, 25], Operations: []
Exploring Operation: 84-25=59, Resulting Numbers: [26, 3, 59]
Generated Node #0,0: 11:[26, 3, 59] Operation: 84-25=59
Exploring Operation: 84-26=58, Resulting Numbers: [3, 25, 58]
Generated Node #0,1: 11:[3, 25, 58] Operation: 84-26=58
Exploring Operation: 84/3=28, Resulting Numbers: [26, 25, 28]
Generated Node #0,2: 11:[26, 25, 28] Operation: 84/3=28
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[26, 25, 28], Operations: ['84/3=28']
Exploring Operation: 28-26=2, Resulting Numbers: [25, 2]
Generated Node #0,2,0: 11:[25, 2] Operation: 28-26=2
Exploring Operation: 26-25=1, Resulting Numbers: [28, 1]
Generated Node #0,2,1: 11:[28, 1] Operation: 26-25=1
Exploring Operation: 28-25=3, Resulting Numbers: [26, 3]
Generated Node #0,2,2: 11:[26, 3] Operation: 28-25=3
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 11:[25, 2], Operations: ['84/3=28', '28-26=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,11 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,11 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 11:[26, 3], Operations: ['84/3=28', '28-25=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 11:[28, 1], Operations: ['84/3=28', '26-25=1']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,11 unequal: No Solution
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[3, 25, 58], Operations: ['84-26=58']
Exploring Operation: 58-25=33, Resulting Numbers: [3, 33]
Generated Node #0,1,0: 11:[3, 33] Operation: 58-25=33
Exploring Operation: 58-3=55, Resulting Numbers: [25, 55]
Generated Node #0,1,1: 11:[25, 55] Operation: 58-3=55
Exploring Operation: 25-3=22, Resulting Numbers: [58, 22]
Generated Node #0,1,2: 11:[58, 22] Operation: 25-3=22
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[3, 33], Operations: ['84-26=58', '58-25=33']
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[84, 26, 3, 25], Operations: []
Exploring Operation: 84-26=58, Resulting Numbers: [3, 25, 58]
Generated Node #0,1: 11:[3, 25, 58] Operation: 84-26=58
Moving to Node #0,1
Current State: 11:[3, 25, 58], Operations: ['84-26=58']
Exploring Operation: 58-25=33, Resulting Numbers: [3, 33]
Generated Node #0,1,0: 11:[3, 33] Operation: 58-25=33
Moving to Node #0,1,0
Current State: 11:[3, 33], Operations: ['84-26=58', '58-25=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
21,
96,
44,
7
] | 65 | [
"44-21=23",
"7*23=161",
"161-96=65"
] | Current State: 65:[21, 96, 44, 7], Operations: []
Exploring Operation: 44-21=23, Resulting Numbers: [96, 7, 23]
Generated Node #2: [96, 7, 23] from Operation: 44-21=23
Current State: 65:[96, 7, 23], Operations: ['44-21=23']
Exploring Operation: 7*23=161, Resulting Numbers: [96, 161]
Generated Node #3: [96, 161] from Operation: 7*23=161
Current State: 65:[96, 161], Operations: ['44-21=23', '7*23=161']
Exploring Operation: 161-96=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[21, 96, 44, 7], Operations: []
Exploring Operation: 96-21=75, Resulting Numbers: [44, 7, 75]
Generated Node #0,0: 65:[44, 7, 75] Operation: 96-21=75
Exploring Operation: 96-44=52, Resulting Numbers: [21, 7, 52]
Generated Node #0,1: 65:[21, 7, 52] Operation: 96-44=52
Moving to Node #0,1
Current State: 65:[21, 7, 52], Operations: ['96-44=52']
Exploring Operation: 21+52=73, Resulting Numbers: [7, 73]
Generated Node #0,1,0: 65:[7, 73] Operation: 21+52=73
Exploring Operation: 21-7=14, Resulting Numbers: [52, 14]
Generated Node #0,1,1: 65:[52, 14] Operation: 21-7=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 65:[7, 73], Operations: ['96-44=52', '21+52=73']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 7+73=80, Resulting Numbers: [80]
80,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[52, 14], Operations: ['96-44=52', '21-7=14']
Exploring Operation: 52+14=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,65 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: 65:[44, 7, 75], Operations: ['96-21=75']
Exploring Operation: 75-44=31, Resulting Numbers: [7, 31]
Generated Node #0,0,0: 65:[7, 31] Operation: 75-44=31
Exploring Operation: 44+7=51, Resulting Numbers: [75, 51]
Generated Node #0,0,1: 65:[75, 51] Operation: 44+7=51
Moving to Node #0,0,0
Current State: 65:[7, 31], Operations: ['96-21=75', '75-44=31']
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,65 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[75, 51], Operations: ['96-21=75', '44+7=51']
Exploring Operation: 75+51=126, Resulting Numbers: [126]
126,65 unequal: No Solution
Exploring Operation: 75-51=24, Resulting Numbers: [24]
24,65 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
4,
62,
38,
84
] | 64 | [
"62-4=58",
"38+84=122",
"122-58=64"
] | Current State: 64:[4, 62, 38, 84], Operations: []
Exploring Operation: 62-4=58, Resulting Numbers: [38, 84, 58]
Generated Node #2: [38, 84, 58] from Operation: 62-4=58
Current State: 64:[38, 84, 58], Operations: ['62-4=58']
Exploring Operation: 38+84=122, Resulting Numbers: [58, 122]
Generated Node #3: [58, 122] from Operation: 38+84=122
Current State: 64:[58, 122], Operations: ['62-4=58', '38+84=122']
Exploring Operation: 122-58=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[4, 62, 38, 84], Operations: []
Exploring Operation: 84-62=22, Resulting Numbers: [4, 38, 22]
Generated Node #0,0: 64:[4, 38, 22] Operation: 84-62=22
Exploring Operation: 38-4=34, Resulting Numbers: [62, 84, 34]
Generated Node #0,1: 64:[62, 84, 34] Operation: 38-4=34
Exploring Operation: 84-38=46, Resulting Numbers: [4, 62, 46]
Generated Node #0,2: 64:[4, 62, 46] Operation: 84-38=46
Exploring Operation: 84/4=21, Resulting Numbers: [62, 38, 21]
Generated Node #0,3: 64:[62, 38, 21] Operation: 84/4=21
Moving to Node #0,0
Current State: 64:[4, 38, 22], Operations: ['84-62=22']
Exploring Operation: 38-22=16, Resulting Numbers: [4, 16]
Generated Node #0,0,0: 64:[4, 16] Operation: 38-22=16
Exploring Operation: 38-4=34, Resulting Numbers: [22, 34]
Generated Node #0,0,1: 64:[22, 34] Operation: 38-4=34
Exploring Operation: 38+22=60, Resulting Numbers: [4, 60]
Generated Node #0,0,2: 64:[4, 60] Operation: 38+22=60
Exploring Operation: 22-4=18, Resulting Numbers: [38, 18]
Generated Node #0,0,3: 64:[38, 18] Operation: 22-4=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[4, 16], Operations: ['84-62=22', '38-22=16']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,64 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[4, 62, 38, 84], Operations: []
Exploring Operation: 84-62=22, Resulting Numbers: [4, 38, 22]
Generated Node #0,0: 64:[4, 38, 22] Operation: 84-62=22
Moving to Node #0,0
Current State: 64:[4, 38, 22], Operations: ['84-62=22']
Exploring Operation: 38-22=16, Resulting Numbers: [4, 16]
Generated Node #0,0,0: 64:[4, 16] Operation: 38-22=16
Moving to Node #0,0,0
Current State: 64:[4, 16], Operations: ['84-62=22', '38-22=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
2,
55,
75,
4
] | 78 | [
"75-55=20",
"4*20=80",
"80-2=78"
] | Current State: 78:[2, 55, 75, 4], Operations: []
Exploring Operation: 75-55=20, Resulting Numbers: [2, 4, 20]
Generated Node #2: [2, 4, 20] from Operation: 75-55=20
Current State: 78:[2, 4, 20], Operations: ['75-55=20']
Exploring Operation: 4*20=80, Resulting Numbers: [2, 80]
Generated Node #3: [2, 80] from Operation: 4*20=80
Current State: 78:[2, 80], Operations: ['75-55=20', '4*20=80']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[2, 55, 75, 4], Operations: []
Exploring Operation: 55-4=51, Resulting Numbers: [2, 75, 51]
Generated Node #0,0: 78:[2, 75, 51] Operation: 55-4=51
Exploring Operation: 75+4=79, Resulting Numbers: [2, 55, 79]
Generated Node #0,1: 78:[2, 55, 79] Operation: 75+4=79
Exploring Operation: 75-55=20, Resulting Numbers: [2, 4, 20]
Generated Node #0,2: 78:[2, 4, 20] Operation: 75-55=20
Exploring Operation: 55-2=53, Resulting Numbers: [75, 4, 53]
Generated Node #0,3: 78:[75, 4, 53] Operation: 55-2=53
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[2, 4, 20], Operations: ['75-55=20']
Exploring Operation: 2*20=40, Resulting Numbers: [4, 40]
Generated Node #0,2,0: 78:[4, 40] Operation: 2*20=40
Exploring Operation: 20/4=5, Resulting Numbers: [2, 5]
Generated Node #0,2,1: 78:[2, 5] Operation: 20/4=5
Exploring Operation: 4+20=24, Resulting Numbers: [2, 24]
Generated Node #0,2,2: 78:[2, 24] Operation: 4+20=24
Exploring Operation: 4*20=80, Resulting Numbers: [2, 80]
Generated Node #0,2,3: 78:[2, 80] Operation: 4*20=80
Moving to Node #0,2,1
Current State: 78:[2, 5], Operations: ['75-55=20', '20/4=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Moving to Node #0,2,2
Current State: 78:[2, 24], Operations: ['75-55=20', '4+20=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,78 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,78 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,78 unequal: No Solution
Moving to Node #0,2,0
Current State: 78:[4, 40], Operations: ['75-55=20', '2*20=40']
Exploring Operation: 4*40=160, Resulting Numbers: [160]
160,78 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,78 unequal: No Solution
Moving to Node #0,2,3
Current State: 78:[2, 80], Operations: ['75-55=20', '4*20=80']
Exploring Operation: 2+80=82, Resulting Numbers: [82]
82,78 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[2, 55, 75, 4], Operations: []
Exploring Operation: 75-55=20, Resulting Numbers: [2, 4, 20]
Generated Node #0,2: 78:[2, 4, 20] Operation: 75-55=20
Moving to Node #0,2
Current State: 78:[2, 4, 20], Operations: ['75-55=20']
Exploring Operation: 4*20=80, Resulting Numbers: [2, 80]
Generated Node #0,2,3: 78:[2, 80] Operation: 4*20=80
Moving to Node #0,2,3
Current State: 78:[2, 80], Operations: ['75-55=20', '4*20=80']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_4 | mult_heuristic |
[
11,
2,
68,
12
] | 89 | [
"11-2=9",
"68+12=80",
"9+80=89"
] | Current State: 89:[11, 2, 68, 12], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [68, 12, 9]
Generated Node #2: [68, 12, 9] from Operation: 11-2=9
Current State: 89:[68, 12, 9], Operations: ['11-2=9']
Exploring Operation: 68+12=80, Resulting Numbers: [9, 80]
Generated Node #3: [9, 80] from Operation: 68+12=80
Current State: 89:[9, 80], Operations: ['11-2=9', '68+12=80']
Exploring Operation: 9+80=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[11, 2, 68, 12], Operations: []
Exploring Operation: 11*2=22, Resulting Numbers: [68, 12, 22]
Generated Node #0,0: 89:[68, 12, 22] Operation: 11*2=22
Exploring Operation: 11+2=13, Resulting Numbers: [68, 12, 13]
Generated Node #0,1: 89:[68, 12, 13] Operation: 11+2=13
Exploring Operation: 11*12=132, Resulting Numbers: [2, 68, 132]
Generated Node #0,2: 89:[2, 68, 132] Operation: 11*12=132
Exploring Operation: 2*12=24, Resulting Numbers: [11, 68, 24]
Generated Node #0,3: 89:[11, 68, 24] Operation: 2*12=24
Moving to Node #0,2
Current State: 89:[2, 68, 132], Operations: ['11*12=132']
Exploring Operation: 68-2=66, Resulting Numbers: [132, 66]
Generated Node #0,2,0: 89:[132, 66] Operation: 68-2=66
Exploring Operation: 132/2=66, Resulting Numbers: [68, 66]
Generated Node #0,2,1: 89:[68, 66] Operation: 132/2=66
Exploring Operation: 132-2=130, Resulting Numbers: [68, 130]
Generated Node #0,2,2: 89:[68, 130] Operation: 132-2=130
Exploring Operation: 2+68=70, Resulting Numbers: [132, 70]
Generated Node #0,2,3: 89:[132, 70] Operation: 2+68=70
Moving to Node #0,3
Current State: 89:[11, 68, 24], Operations: ['2*12=24']
Exploring Operation: 11+24=35, Resulting Numbers: [68, 35]
Generated Node #0,3,0: 89:[68, 35] Operation: 11+24=35
Exploring Operation: 11+68=79, Resulting Numbers: [24, 79]
Generated Node #0,3,1: 89:[24, 79] Operation: 11+68=79
Exploring Operation: 68+24=92, Resulting Numbers: [11, 92]
Generated Node #0,3,2: 89:[11, 92] Operation: 68+24=92
Exploring Operation: 68-11=57, Resulting Numbers: [24, 57]
Generated Node #0,3,3: 89:[24, 57] Operation: 68-11=57
Moving to Node #0,0
Current State: 89:[68, 12, 22], Operations: ['11*2=22']
Exploring Operation: 68+12=80, Resulting Numbers: [22, 80]
Generated Node #0,0,0: 89:[22, 80] Operation: 68+12=80
Exploring Operation: 68+22=90, Resulting Numbers: [12, 90]
Generated Node #0,0,1: 89:[12, 90] Operation: 68+22=90
Exploring Operation: 68-12=56, Resulting Numbers: [22, 56]
Generated Node #0,0,2: 89:[22, 56] Operation: 68-12=56
Exploring Operation: 12+22=34, Resulting Numbers: [68, 34]
Generated Node #0,0,3: 89:[68, 34] Operation: 12+22=34
Moving to Node #0,1
Current State: 89:[68, 12, 13], Operations: ['11+2=13']
Exploring Operation: 68+12=80, Resulting Numbers: [13, 80]
Generated Node #0,1,0: 89:[13, 80] Operation: 68+12=80
Exploring Operation: 68+13=81, Resulting Numbers: [12, 81]
Generated Node #0,1,1: 89:[12, 81] Operation: 68+13=81
Exploring Operation: 12+13=25, Resulting Numbers: [68, 25]
Generated Node #0,1,2: 89:[68, 25] Operation: 12+13=25
Exploring Operation: 12*13=156, Resulting Numbers: [68, 156]
Generated Node #0,1,3: 89:[68, 156] Operation: 12*13=156
Moving to Node #0,2,1
Current State: 89:[68, 66], Operations: ['11*12=132', '132/2=66']
Exploring Operation: 68-66=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 68+66=134, Resulting Numbers: [134]
134,89 unequal: No Solution
Exploring Operation: 68*66=4488, Resulting Numbers: [4488]
4488,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[132, 70], Operations: ['11*12=132', '2+68=70']
Exploring Operation: 132+70=202, Resulting Numbers: [202]
202,89 unequal: No Solution
Exploring Operation: 132-70=62, Resulting Numbers: [62]
62,89 unequal: No Solution
Exploring Operation: 132*70=9240, Resulting Numbers: [9240]
9240,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[68, 130], Operations: ['11*12=132', '132-2=130']
Exploring Operation: 68+130=198, Resulting Numbers: [198]
198,89 unequal: No Solution
Exploring Operation: 68*130=8840, Resulting Numbers: [8840]
8840,89 unequal: No Solution
Exploring Operation: 130-68=62, Resulting Numbers: [62]
62,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[132, 66], Operations: ['11*12=132', '68-2=66']
Exploring Operation: 132/66=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 132+66=198, Resulting Numbers: [198]
198,89 unequal: No Solution
Exploring Operation: 132-66=66, Resulting Numbers: [66]
66,89 unequal: No Solution
Exploring Operation: 132*66=8712, Resulting Numbers: [8712]
8712,89 unequal: No Solution
Moving to Node #0,3,1
Current State: 89:[24, 79], Operations: ['2*12=24', '11+68=79']
Exploring Operation: 24*79=1896, Resulting Numbers: [1896]
1896,89 unequal: No Solution
Exploring Operation: 79-24=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 24+79=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Moving to Node #0,3,0
Current State: 89:[68, 35], Operations: ['2*12=24', '11+24=35']
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 68*35=2380, Resulting Numbers: [2380]
2380,89 unequal: No Solution
Exploring Operation: 68+35=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[68, 34], Operations: ['11*2=22', '12+22=34']
Exploring Operation: 68*34=2312, Resulting Numbers: [2312]
2312,89 unequal: No Solution
Exploring Operation: 68-34=34, Resulting Numbers: [34]
34,89 unequal: No Solution
Exploring Operation: 68/34=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 68+34=102, Resulting Numbers: [102]
102,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[22, 80], Operations: ['11*2=22', '68+12=80']
Exploring Operation: 22*80=1760, Resulting Numbers: [1760]
1760,89 unequal: No Solution
Exploring Operation: 80-22=58, Resulting Numbers: [58]
58,89 unequal: No Solution
Exploring Operation: 22+80=102, Resulting Numbers: [102]
102,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[12, 90], Operations: ['11*2=22', '68+22=90']
Exploring Operation: 12*90=1080, Resulting Numbers: [1080]
1080,89 unequal: No Solution
Exploring Operation: 90-12=78, Resulting Numbers: [78]
78,89 unequal: No Solution
Exploring Operation: 12+90=102, Resulting Numbers: [102]
102,89 unequal: No Solution
Moving to Node #0,3,2
Current State: 89:[11, 92], Operations: ['2*12=24', '68+24=92']
Exploring Operation: 11*92=1012, Resulting Numbers: [1012]
1012,89 unequal: No Solution
Exploring Operation: 11+92=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[13, 80], Operations: ['11+2=13', '68+12=80']
Exploring Operation: 13*80=1040, Resulting Numbers: [1040]
1040,89 unequal: No Solution
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,89 unequal: No Solution
Exploring Operation: 13+80=93, Resulting Numbers: [93]
93,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[12, 81], Operations: ['11+2=13', '68+13=81']
Exploring Operation: 12*81=972, Resulting Numbers: [972]
972,89 unequal: No Solution
Exploring Operation: 81-12=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 12+81=93, Resulting Numbers: [93]
93,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[68, 25], Operations: ['11+2=13', '12+13=25']
Exploring Operation: 68+25=93, Resulting Numbers: [93]
93,89 unequal: No Solution
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,89 unequal: No Solution
Exploring Operation: 68*25=1700, Resulting Numbers: [1700]
1700,89 unequal: No Solution
Moving to Node #0,1,3
Current State: 89:[68, 156], Operations: ['11+2=13', '12*13=156']
Exploring Operation: 156-68=88, Resulting Numbers: [88]
88,89 unequal: No Solution
Exploring Operation: 68*156=10608, Resulting Numbers: [10608]
10608,89 unequal: No Solution
Exploring Operation: 68+156=224, Resulting Numbers: [224]
224,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[24, 57], Operations: ['2*12=24', '68-11=57']
Exploring Operation: 24*57=1368, Resulting Numbers: [1368]
1368,89 unequal: No Solution
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 24+57=81, Resulting Numbers: [81]
81,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[22, 56], Operations: ['11*2=22', '68-12=56']
Exploring Operation: 56-22=34, Resulting Numbers: [34]
34,89 unequal: No Solution
Exploring Operation: 22*56=1232, Resulting Numbers: [1232]
1232,89 unequal: No Solution
Exploring Operation: 22+56=78, Resulting Numbers: [78]
78,89 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
28,
88,
8,
22
] | 32 | [
"28+8=36",
"88/22=4",
"36-4=32"
] | Current State: 32:[28, 88, 8, 22], Operations: []
Exploring Operation: 28+8=36, Resulting Numbers: [88, 22, 36]
Generated Node #2: [88, 22, 36] from Operation: 28+8=36
Current State: 32:[88, 22, 36], Operations: ['28+8=36']
Exploring Operation: 88/22=4, Resulting Numbers: [36, 4]
Generated Node #3: [36, 4] from Operation: 88/22=4
Current State: 32:[36, 4], Operations: ['28+8=36', '88/22=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[28, 88, 8, 22], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [28, 22, 11]
Generated Node #0,0: 32:[28, 22, 11] Operation: 88/8=11
Exploring Operation: 88-28=60, Resulting Numbers: [8, 22, 60]
Generated Node #0,1: 32:[8, 22, 60] Operation: 88-28=60
Exploring Operation: 88/22=4, Resulting Numbers: [28, 8, 4]
Generated Node #0,2: 32:[28, 8, 4] Operation: 88/22=4
Moving to Node #0,2
Current State: 32:[28, 8, 4], Operations: ['88/22=4']
Exploring Operation: 28+4=32, Resulting Numbers: [8, 32]
Generated Node #0,2,0: 32:[8, 32] Operation: 28+4=32
Exploring Operation: 28+8=36, Resulting Numbers: [4, 36]
Generated Node #0,2,1: 32:[4, 36] Operation: 28+8=36
Exploring Operation: 28/4=7, Resulting Numbers: [8, 7]
Generated Node #0,2,2: 32:[8, 7] Operation: 28/4=7
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 32:[8, 32], Operations: ['88/22=4', '28+4=32']
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,32 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:[8, 7], Operations: ['88/22=4', '28/4=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,32 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,32 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:[4, 36], Operations: ['88/22=4', '28+8=36']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[28, 88, 8, 22], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [28, 8, 4]
Generated Node #0,2: 32:[28, 8, 4] Operation: 88/22=4
Moving to Node #0,2
Current State: 32:[28, 8, 4], Operations: ['88/22=4']
Exploring Operation: 28+8=36, Resulting Numbers: [4, 36]
Generated Node #0,2,1: 32:[4, 36] Operation: 28+8=36
Moving to Node #0,2,1
Current State: 32:[4, 36], Operations: ['88/22=4', '28+8=36']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
13,
64,
29,
78
] | 87 | [
"78/13=6",
"64+29=93",
"93-6=87"
] | Current State: 87:[13, 64, 29, 78], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [64, 29, 6]
Generated Node #2: [64, 29, 6] from Operation: 78/13=6
Current State: 87:[64, 29, 6], Operations: ['78/13=6']
Exploring Operation: 64+29=93, Resulting Numbers: [6, 93]
Generated Node #3: [6, 93] from Operation: 64+29=93
Current State: 87:[6, 93], Operations: ['78/13=6', '64+29=93']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[13, 64, 29, 78], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [13, 29, 14]
Generated Node #0,0: 87:[13, 29, 14] Operation: 78-64=14
Exploring Operation: 64+29=93, Resulting Numbers: [13, 78, 93]
Generated Node #0,1: 87:[13, 78, 93] Operation: 64+29=93
Exploring Operation: 13+64=77, Resulting Numbers: [29, 78, 77]
Generated Node #0,2: 87:[29, 78, 77] Operation: 13+64=77
Moving to Node #0,2
Current State: 87:[29, 78, 77], Operations: ['13+64=77']
Exploring Operation: 29+77=106, Resulting Numbers: [78, 106]
Generated Node #0,2,0: 87:[78, 106] Operation: 29+77=106
Exploring Operation: 78-77=1, Resulting Numbers: [29, 1]
Generated Node #0,2,1: 87:[29, 1] Operation: 78-77=1
Exploring Operation: 77-29=48, Resulting Numbers: [78, 48]
Generated Node #0,2,2: 87:[78, 48] Operation: 77-29=48
Moving to Node #0,0
Current State: 87:[13, 29, 14], Operations: ['78-64=14']
Exploring Operation: 29-14=15, Resulting Numbers: [13, 15]
Generated Node #0,0,0: 87:[13, 15] Operation: 29-14=15
Exploring Operation: 14-13=1, Resulting Numbers: [29, 1]
Generated Node #0,0,1: 87:[29, 1] Operation: 14-13=1
Exploring Operation: 13+14=27, Resulting Numbers: [29, 27]
Generated Node #0,0,2: 87:[29, 27] Operation: 13+14=27
Moving to Node #0,1
Current State: 87:[13, 78, 93], Operations: ['64+29=93']
Exploring Operation: 93-13=80, Resulting Numbers: [78, 80]
Generated Node #0,1,0: 87:[78, 80] Operation: 93-13=80
Exploring Operation: 13+78=91, Resulting Numbers: [93, 91]
Generated Node #0,1,1: 87:[93, 91] Operation: 13+78=91
Exploring Operation: 78/13=6, Resulting Numbers: [93, 6]
Generated Node #0,1,2: 87:[93, 6] Operation: 78/13=6
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[93, 6], Operations: ['64+29=93', '78/13=6']
Exploring Operation: 93*6=558, Resulting Numbers: [558]
558,87 unequal: No Solution
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[13, 64, 29, 78], Operations: []
Exploring Operation: 64+29=93, Resulting Numbers: [13, 78, 93]
Generated Node #0,1: 87:[13, 78, 93] Operation: 64+29=93
Moving to Node #0,1
Current State: 87:[13, 78, 93], Operations: ['64+29=93']
Exploring Operation: 78/13=6, Resulting Numbers: [93, 6]
Generated Node #0,1,2: 87:[93, 6] Operation: 78/13=6
Moving to Node #0,1,2
Current State: 87:[93, 6], Operations: ['64+29=93', '78/13=6']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
10,
37,
17,
43
] | 90 | [
"10*17=170",
"37+43=80",
"170-80=90"
] | Current State: 90:[10, 37, 17, 43], Operations: []
Exploring Operation: 10*17=170, Resulting Numbers: [37, 43, 170]
Generated Node #2: [37, 43, 170] from Operation: 10*17=170
Current State: 90:[37, 43, 170], Operations: ['10*17=170']
Exploring Operation: 37+43=80, Resulting Numbers: [170, 80]
Generated Node #3: [170, 80] from Operation: 37+43=80
Current State: 90:[170, 80], Operations: ['10*17=170', '37+43=80']
Exploring Operation: 170-80=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[10, 37, 17, 43], Operations: []
Exploring Operation: 43-37=6, Resulting Numbers: [10, 17, 6]
Generated Node #0,0: 90:[10, 17, 6] Operation: 43-37=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[10, 17, 6], Operations: ['43-37=6']
Exploring Operation: 17-10=7, Resulting Numbers: [6, 7]
Generated Node #0,0,0: 90:[6, 7] Operation: 17-10=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[6, 7], Operations: ['43-37=6', '17-10=7']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,90 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 |
[
16,
60,
27,
64
] | 83 | [
"64/16=4",
"60+27=87",
"87-4=83"
] | Current State: 83:[16, 60, 27, 64], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [60, 27, 4]
Generated Node #2: [60, 27, 4] from Operation: 64/16=4
Current State: 83:[60, 27, 4], Operations: ['64/16=4']
Exploring Operation: 60+27=87, Resulting Numbers: [4, 87]
Generated Node #3: [4, 87] from Operation: 60+27=87
Current State: 83:[4, 87], Operations: ['64/16=4', '60+27=87']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[16, 60, 27, 64], Operations: []
Exploring Operation: 16+64=80, Resulting Numbers: [60, 27, 80]
Generated Node #0,0: 83:[60, 27, 80] Operation: 16+64=80
Exploring Operation: 27+64=91, Resulting Numbers: [16, 60, 91]
Generated Node #0,1: 83:[16, 60, 91] Operation: 27+64=91
Exploring Operation: 16+60=76, Resulting Numbers: [27, 64, 76]
Generated Node #0,2: 83:[27, 64, 76] Operation: 16+60=76
Exploring Operation: 60+27=87, Resulting Numbers: [16, 64, 87]
Generated Node #0,3: 83:[16, 64, 87] Operation: 60+27=87
Exploring Operation: 16+27=43, Resulting Numbers: [60, 64, 43]
Generated Node #0,4: 83:[60, 64, 43] Operation: 16+27=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[60, 27, 80], Operations: ['16+64=80']
Exploring Operation: 60-27=33, Resulting Numbers: [80, 33]
Generated Node #0,0,0: 83:[80, 33] Operation: 60-27=33
Exploring Operation: 60+80=140, Resulting Numbers: [27, 140]
Generated Node #0,0,1: 83:[27, 140] Operation: 60+80=140
Exploring Operation: 80-27=53, Resulting Numbers: [60, 53]
Generated Node #0,0,2: 83:[60, 53] Operation: 80-27=53
Exploring Operation: 60+27=87, Resulting Numbers: [80, 87]
Generated Node #0,0,3: 83:[80, 87] Operation: 60+27=87
Exploring Operation: 27+80=107, Resulting Numbers: [60, 107]
Generated Node #0,0,4: 83:[60, 107] Operation: 27+80=107
Moving to Node #0,0,3
Current State: 83:[80, 87], Operations: ['16+64=80', '60+27=87']
Exploring Operation: 80+87=167, Resulting Numbers: [167]
167,83 unequal: No Solution
Exploring Operation: 80*87=6960, Resulting Numbers: [6960]
6960,83 unequal: No Solution
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Moving to Node #0,0,4
Current State: 83:[60, 107], Operations: ['16+64=80', '27+80=107']
Exploring Operation: 60*107=6420, Resulting Numbers: [6420]
6420,83 unequal: No Solution
Exploring Operation: 60+107=167, Resulting Numbers: [167]
167,83 unequal: No Solution
Exploring Operation: 107-60=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[80, 33], Operations: ['16+64=80', '60-27=33']
Exploring Operation: 80-33=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 80+33=113, Resulting Numbers: [113]
113,83 unequal: No Solution
Exploring Operation: 80*33=2640, Resulting Numbers: [2640]
2640,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[60, 53], Operations: ['16+64=80', '80-27=53']
Exploring Operation: 60+53=113, Resulting Numbers: [113]
113,83 unequal: No Solution
Exploring Operation: 60*53=3180, Resulting Numbers: [3180]
3180,83 unequal: No Solution
Exploring Operation: 60-53=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[27, 140], Operations: ['16+64=80', '60+80=140']
Exploring Operation: 27*140=3780, Resulting Numbers: [3780]
3780,83 unequal: No Solution
Exploring Operation: 140-27=113, Resulting Numbers: [113]
113,83 unequal: No Solution
Exploring Operation: 27+140=167, Resulting Numbers: [167]
167,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[27, 64, 76], Operations: ['16+60=76']
Exploring Operation: 27+64=91, Resulting Numbers: [76, 91]
Generated Node #0,2,0: 83:[76, 91] Operation: 27+64=91
Exploring Operation: 64+76=140, Resulting Numbers: [27, 140]
Generated Node #0,2,1: 83:[27, 140] Operation: 64+76=140
Exploring Operation: 64-27=37, Resulting Numbers: [76, 37]
Generated Node #0,2,2: 83:[76, 37] Operation: 64-27=37
Exploring Operation: 27+76=103, Resulting Numbers: [64, 103]
Generated Node #0,2,3: 83:[64, 103] Operation: 27+76=103
Exploring Operation: 76-27=49, Resulting Numbers: [64, 49]
Generated Node #0,2,4: 83:[64, 49] Operation: 76-27=49
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[76, 91], Operations: ['16+60=76', '27+64=91']
Exploring Operation: 76*91=6916, Resulting Numbers: [6916]
6916,83 unequal: No Solution
Exploring Operation: 91-76=15, Resulting Numbers: [15]
15,83 unequal: No Solution
Exploring Operation: 76+91=167, Resulting Numbers: [167]
167,83 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 #0,2,3
Current State: 83:[64, 103], Operations: ['16+60=76', '27+76=103']
Exploring Operation: 64+103=167, Resulting Numbers: [167]
167,83 unequal: No Solution
Exploring Operation: 64*103=6592, Resulting Numbers: [6592]
6592,83 unequal: No Solution
Exploring Operation: 103-64=39, Resulting Numbers: [39]
39,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 83:[76, 37], Operations: ['16+60=76', '64-27=37']
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 76+37=113, Resulting Numbers: [113]
113,83 unequal: No Solution
Exploring Operation: 76*37=2812, Resulting Numbers: [2812]
2812,83 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 #0,2,4
Current State: 83:[64, 49], Operations: ['16+60=76', '76-27=49']
Exploring Operation: 64*49=3136, Resulting Numbers: [3136]
3136,83 unequal: No Solution
Exploring Operation: 64+49=113, Resulting Numbers: [113]
113,83 unequal: No Solution
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,83 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:[27, 140], Operations: ['16+60=76', '64+76=140']
Exploring Operation: 27*140=3780, Resulting Numbers: [3780]
3780,83 unequal: No Solution
Exploring Operation: 27+140=167, Resulting Numbers: [167]
167,83 unequal: No Solution
Exploring Operation: 140-27=113, Resulting Numbers: [113]
113,83 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 #0,4
Current State: 83:[60, 64, 43], Operations: ['16+27=43']
Exploring Operation: 64-43=21, Resulting Numbers: [60, 21]
Generated Node #0,4,0: 83:[60, 21] Operation: 64-43=21
Exploring Operation: 64+43=107, Resulting Numbers: [60, 107]
Generated Node #0,4,1: 83:[60, 107] Operation: 64+43=107
Exploring Operation: 60+43=103, Resulting Numbers: [64, 103]
Generated Node #0,4,2: 83:[64, 103] Operation: 60+43=103
Exploring Operation: 60-43=17, Resulting Numbers: [64, 17]
Generated Node #0,4,3: 83:[64, 17] Operation: 60-43=17
Exploring Operation: 60+64=124, Resulting Numbers: [43, 124]
Generated Node #0,4,4: 83:[43, 124] Operation: 60+64=124
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 83:[64, 103], Operations: ['16+27=43', '60+43=103']
Exploring Operation: 103-64=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 64+103=167, Resulting Numbers: [167]
167,83 unequal: No Solution
Exploring Operation: 64*103=6592, Resulting Numbers: [6592]
6592,83 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 #0,4,1
Current State: 83:[60, 107], Operations: ['16+27=43', '64+43=107']
Exploring Operation: 60*107=6420, Resulting Numbers: [6420]
6420,83 unequal: No Solution
Exploring Operation: 107-60=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 60+107=167, Resulting Numbers: [167]
167,83 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 #0,4,4
Current State: 83:[43, 124], Operations: ['16+27=43', '60+64=124']
Exploring Operation: 124-43=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 43+124=167, Resulting Numbers: [167]
167,83 unequal: No Solution
Exploring Operation: 43*124=5332, Resulting Numbers: [5332]
5332,83 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 #0,4,0
Current State: 83:[60, 21], Operations: ['16+27=43', '64-43=21']
Exploring Operation: 60+21=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 60*21=1260, Resulting Numbers: [1260]
1260,83 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 #0,4,3
Current State: 83:[64, 17], Operations: ['16+27=43', '60-43=17']
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 64*17=1088, Resulting Numbers: [1088]
1088,83 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 #0,3
Current State: 83:[16, 64, 87], Operations: ['60+27=87']
Exploring Operation: 64/16=4, Resulting Numbers: [87, 4]
Generated Node #0,3,0: 83:[87, 4] Operation: 64/16=4
Exploring Operation: 64-16=48, Resulting Numbers: [87, 48]
Generated Node #0,3,1: 83:[87, 48] Operation: 64-16=48
Exploring Operation: 87-16=71, Resulting Numbers: [64, 71]
Generated Node #0,3,2: 83:[64, 71] Operation: 87-16=71
Exploring Operation: 16+87=103, Resulting Numbers: [64, 103]
Generated Node #0,3,3: 83:[64, 103] Operation: 16+87=103
Exploring Operation: 16+64=80, Resulting Numbers: [87, 80]
Generated Node #0,3,4: 83:[87, 80] Operation: 16+64=80
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 83:[87, 80], Operations: ['60+27=87', '16+64=80']
Exploring Operation: 87*80=6960, Resulting Numbers: [6960]
6960,83 unequal: No Solution
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Exploring Operation: 87+80=167, Resulting Numbers: [167]
167,83 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 #0,3,2
Current State: 83:[64, 71], Operations: ['60+27=87', '87-16=71']
Exploring Operation: 71-64=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Exploring Operation: 64*71=4544, Resulting Numbers: [4544]
4544,83 unequal: No Solution
Exploring Operation: 64+71=135, Resulting Numbers: [135]
135,83 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 #0,3,1
Current State: 83:[87, 48], Operations: ['60+27=87', '64-16=48']
Exploring Operation: 87+48=135, Resulting Numbers: [135]
135,83 unequal: No Solution
Exploring Operation: 87-48=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 87*48=4176, Resulting Numbers: [4176]
4176,83 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 #0,3,3
Current State: 83:[64, 103], Operations: ['60+27=87', '16+87=103']
Exploring Operation: 103-64=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 64+103=167, Resulting Numbers: [167]
167,83 unequal: No Solution
Exploring Operation: 64*103=6592, Resulting Numbers: [6592]
6592,83 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 #0,3,0
Current State: 83:[87, 4], Operations: ['60+27=87', '64/16=4']
Exploring Operation: 87*4=348, Resulting Numbers: [348]
348,83 unequal: No Solution
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,83 unequal: No Solution
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[16, 60, 27, 64], Operations: []
Exploring Operation: 60+27=87, Resulting Numbers: [16, 64, 87]
Generated Node #0,3: 83:[16, 64, 87] Operation: 60+27=87
Moving to Node #0,3
Current State: 83:[16, 64, 87], Operations: ['60+27=87']
Exploring Operation: 64/16=4, Resulting Numbers: [87, 4]
Generated Node #0,3,0: 83:[87, 4] Operation: 64/16=4
Moving to Node #0,3,0
Current State: 83:[87, 4], Operations: ['60+27=87', '64/16=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.922743 | hs_5 | sum_heuristic |
[
62,
4,
15,
45
] | 53 | [
"62-45=17",
"4*17=68",
"68-15=53"
] | Current State: 53:[62, 4, 15, 45], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [4, 15, 17]
Generated Node #2: [4, 15, 17] from Operation: 62-45=17
Current State: 53:[4, 15, 17], Operations: ['62-45=17']
Exploring Operation: 4*17=68, Resulting Numbers: [15, 68]
Generated Node #3: [15, 68] from Operation: 4*17=68
Current State: 53:[15, 68], Operations: ['62-45=17', '4*17=68']
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[62, 4, 15, 45], Operations: []
Exploring Operation: 4+15=19, Resulting Numbers: [62, 45, 19]
Generated Node #0,0: 53:[62, 45, 19] Operation: 4+15=19
Exploring Operation: 62-4=58, Resulting Numbers: [15, 45, 58]
Generated Node #0,1: 53:[15, 45, 58] Operation: 62-4=58
Exploring Operation: 4*15=60, Resulting Numbers: [62, 45, 60]
Generated Node #0,2: 53:[62, 45, 60] Operation: 4*15=60
Exploring Operation: 4+45=49, Resulting Numbers: [62, 15, 49]
Generated Node #0,3: 53:[62, 15, 49] Operation: 4+45=49
Exploring Operation: 62+4=66, Resulting Numbers: [15, 45, 66]
Generated Node #0,4: 53:[15, 45, 66] Operation: 62+4=66
Moving to Node #0,2
Current State: 53:[62, 45, 60], Operations: ['4*15=60']
Exploring Operation: 62-45=17, Resulting Numbers: [60, 17]
Generated Node #0,2,0: 53:[60, 17] Operation: 62-45=17
Exploring Operation: 62-60=2, Resulting Numbers: [45, 2]
Generated Node #0,2,1: 53:[45, 2] Operation: 62-60=2
Exploring Operation: 60-45=15, Resulting Numbers: [62, 15]
Generated Node #0,2,2: 53:[62, 15] Operation: 60-45=15
Exploring Operation: 45+60=105, Resulting Numbers: [62, 105]
Generated Node #0,2,3: 53:[62, 105] Operation: 45+60=105
Exploring Operation: 62+45=107, Resulting Numbers: [60, 107]
Generated Node #0,2,4: 53:[60, 107] Operation: 62+45=107
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[60, 17], Operations: ['4*15=60', '62-45=17']
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Exploring Operation: 60*17=1020, Resulting Numbers: [1020]
1020,53 unequal: No Solution
Exploring Operation: 60+17=77, Resulting Numbers: [77]
77,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 53:[62, 15], Operations: ['4*15=60', '60-45=15']
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,53 unequal: No Solution
Exploring Operation: 62*15=930, Resulting Numbers: [930]
930,53 unequal: No Solution
Exploring Operation: 62+15=77, Resulting Numbers: [77]
77,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[45, 2], Operations: ['4*15=60', '62-60=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 53:[62, 105], Operations: ['4*15=60', '45+60=105']
Exploring Operation: 62*105=6510, Resulting Numbers: [6510]
6510,53 unequal: No Solution
Exploring Operation: 62+105=167, Resulting Numbers: [167]
167,53 unequal: No Solution
Exploring Operation: 105-62=43, Resulting Numbers: [43]
43,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 53:[60, 107], Operations: ['4*15=60', '62+45=107']
Exploring Operation: 60+107=167, Resulting Numbers: [167]
167,53 unequal: No Solution
Exploring Operation: 107-60=47, Resulting Numbers: [47]
47,53 unequal: No Solution
Exploring Operation: 60*107=6420, Resulting Numbers: [6420]
6420,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 53:[15, 45, 58], Operations: ['62-4=58']
Exploring Operation: 45-15=30, Resulting Numbers: [58, 30]
Generated Node #0,1,0: 53:[58, 30] Operation: 45-15=30
Exploring Operation: 58-15=43, Resulting Numbers: [45, 43]
Generated Node #0,1,1: 53:[45, 43] Operation: 58-15=43
Exploring Operation: 15+45=60, Resulting Numbers: [58, 60]
Generated Node #0,1,2: 53:[58, 60] Operation: 15+45=60
Exploring Operation: 45/15=3, Resulting Numbers: [58, 3]
Generated Node #0,1,3: 53:[58, 3] Operation: 45/15=3
Exploring Operation: 15+58=73, Resulting Numbers: [45, 73]
Generated Node #0,1,4: 53:[45, 73] Operation: 15+58=73
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 53:[58, 60], Operations: ['62-4=58', '15+45=60']
Exploring Operation: 58+60=118, Resulting Numbers: [118]
118,53 unequal: No Solution
Exploring Operation: 60-58=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 58*60=3480, Resulting Numbers: [3480]
3480,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[45, 43], Operations: ['62-4=58', '58-15=43']
Exploring Operation: 45-43=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 45*43=1935, Resulting Numbers: [1935]
1935,53 unequal: No Solution
Exploring Operation: 45+43=88, Resulting Numbers: [88]
88,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[58, 30], Operations: ['62-4=58', '45-15=30']
Exploring Operation: 58-30=28, Resulting Numbers: [28]
28,53 unequal: No Solution
Exploring Operation: 58*30=1740, Resulting Numbers: [1740]
1740,53 unequal: No Solution
Exploring Operation: 58+30=88, Resulting Numbers: [88]
88,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 53:[45, 73], Operations: ['62-4=58', '15+58=73']
Exploring Operation: 73-45=28, Resulting Numbers: [28]
28,53 unequal: No Solution
Exploring Operation: 45*73=3285, Resulting Numbers: [3285]
3285,53 unequal: No Solution
Exploring Operation: 45+73=118, Resulting Numbers: [118]
118,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 53:[58, 3], Operations: ['62-4=58', '45/15=3']
Exploring Operation: 58*3=174, Resulting Numbers: [174]
174,53 unequal: No Solution
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,53 unequal: No Solution
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 53:[62, 45, 19], Operations: ['4+15=19']
Exploring Operation: 45-19=26, Resulting Numbers: [62, 26]
Generated Node #0,0,0: 53:[62, 26] Operation: 45-19=26
Exploring Operation: 62-19=43, Resulting Numbers: [45, 43]
Generated Node #0,0,1: 53:[45, 43] Operation: 62-19=43
Exploring Operation: 45+19=64, Resulting Numbers: [62, 64]
Generated Node #0,0,2: 53:[62, 64] Operation: 45+19=64
Exploring Operation: 62-45=17, Resulting Numbers: [19, 17]
Generated Node #0,0,3: 53:[19, 17] Operation: 62-45=17
Exploring Operation: 62+19=81, Resulting Numbers: [45, 81]
Generated Node #0,0,4: 53:[45, 81] Operation: 62+19=81
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[45, 43], Operations: ['4+15=19', '62-19=43']
Exploring Operation: 45*43=1935, Resulting Numbers: [1935]
1935,53 unequal: No Solution
Exploring Operation: 45-43=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 45+43=88, Resulting Numbers: [88]
88,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[62, 64], Operations: ['4+15=19', '45+19=64']
Exploring Operation: 62*64=3968, Resulting Numbers: [3968]
3968,53 unequal: No Solution
Exploring Operation: 62+64=126, Resulting Numbers: [126]
126,53 unequal: No Solution
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[62, 26], Operations: ['4+15=19', '45-19=26']
Exploring Operation: 62-26=36, Resulting Numbers: [36]
36,53 unequal: No Solution
Exploring Operation: 62+26=88, Resulting Numbers: [88]
88,53 unequal: No Solution
Exploring Operation: 62*26=1612, Resulting Numbers: [1612]
1612,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 53:[45, 81], Operations: ['4+15=19', '62+19=81']
Exploring Operation: 45*81=3645, Resulting Numbers: [3645]
3645,53 unequal: No Solution
Exploring Operation: 45+81=126, Resulting Numbers: [126]
126,53 unequal: No Solution
Exploring Operation: 81-45=36, Resulting Numbers: [36]
36,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 53:[19, 17], Operations: ['4+15=19', '62-45=17']
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 19*17=323, Resulting Numbers: [323]
323,53 unequal: No Solution
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 53:[62, 15, 49], Operations: ['4+45=49']
Exploring Operation: 62-49=13, Resulting Numbers: [15, 13]
Generated Node #0,3,0: 53:[15, 13] Operation: 62-49=13
Exploring Operation: 49-15=34, Resulting Numbers: [62, 34]
Generated Node #0,3,1: 53:[62, 34] Operation: 49-15=34
Exploring Operation: 62+15=77, Resulting Numbers: [49, 77]
Generated Node #0,3,2: 53:[49, 77] Operation: 62+15=77
Exploring Operation: 62-15=47, Resulting Numbers: [49, 47]
Generated Node #0,3,3: 53:[49, 47] Operation: 62-15=47
Exploring Operation: 15+49=64, Resulting Numbers: [62, 64]
Generated Node #0,3,4: 53:[62, 64] Operation: 15+49=64
Moving to Node #0,4
Current State: 53:[15, 45, 66], Operations: ['62+4=66']
Exploring Operation: 45/15=3, Resulting Numbers: [66, 3]
Generated Node #0,4,0: 53:[66, 3] Operation: 45/15=3
Exploring Operation: 45-15=30, Resulting Numbers: [66, 30]
Generated Node #0,4,1: 53:[66, 30] Operation: 45-15=30
Exploring Operation: 15+45=60, Resulting Numbers: [66, 60]
Generated Node #0,4,2: 53:[66, 60] Operation: 15+45=60
Exploring Operation: 15+66=81, Resulting Numbers: [45, 81]
Generated Node #0,4,3: 53:[45, 81] Operation: 15+66=81
Exploring Operation: 66-15=51, Resulting Numbers: [45, 51]
Generated Node #0,4,4: 53:[45, 51] Operation: 66-15=51
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 53:[45, 51], Operations: ['62+4=66', '66-15=51']
Exploring Operation: 45*51=2295, Resulting Numbers: [2295]
2295,53 unequal: No Solution
Exploring Operation: 51-45=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 45+51=96, Resulting Numbers: [96]
96,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 53:[66, 60], Operations: ['62+4=66', '15+45=60']
Exploring Operation: 66*60=3960, Resulting Numbers: [3960]
3960,53 unequal: No Solution
Exploring Operation: 66+60=126, Resulting Numbers: [126]
126,53 unequal: No Solution
Exploring Operation: 66-60=6, Resulting Numbers: [6]
6,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 53:[66, 30], Operations: ['62+4=66', '45-15=30']
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,53 unequal: No Solution
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,53 unequal: No Solution
Exploring Operation: 66*30=1980, Resulting Numbers: [1980]
1980,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 53:[45, 81], Operations: ['62+4=66', '15+66=81']
Exploring Operation: 45+81=126, Resulting Numbers: [126]
126,53 unequal: No Solution
Exploring Operation: 81-45=36, Resulting Numbers: [36]
36,53 unequal: No Solution
Exploring Operation: 45*81=3645, Resulting Numbers: [3645]
3645,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 53:[66, 3], Operations: ['62+4=66', '45/15=3']
Exploring Operation: 66*3=198, Resulting Numbers: [198]
198,53 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,53 unequal: No Solution
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,53 unequal: No Solution
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 53:[49, 47], Operations: ['4+45=49', '62-15=47']
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 49+47=96, Resulting Numbers: [96]
96,53 unequal: No Solution
Exploring Operation: 49*47=2303, Resulting Numbers: [2303]
2303,53 unequal: No Solution
Moving to Node #0,3,4
Current State: 53:[62, 64], Operations: ['4+45=49', '15+49=64']
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 62+64=126, Resulting Numbers: [126]
126,53 unequal: No Solution
Exploring Operation: 62*64=3968, Resulting Numbers: [3968]
3968,53 unequal: No Solution
Moving to Node #0,3,1
Current State: 53:[62, 34], Operations: ['4+45=49', '49-15=34']
Exploring Operation: 62*34=2108, Resulting Numbers: [2108]
2108,53 unequal: No Solution
Exploring Operation: 62-34=28, Resulting Numbers: [28]
28,53 unequal: No Solution
Exploring Operation: 62+34=96, Resulting Numbers: [96]
96,53 unequal: No Solution
Moving to Node #0,3,2
Current State: 53:[49, 77], Operations: ['4+45=49', '62+15=77']
Exploring Operation: 49+77=126, Resulting Numbers: [126]
126,53 unequal: No Solution
Exploring Operation: 49*77=3773, Resulting Numbers: [3773]
3773,53 unequal: No Solution
Exploring Operation: 77-49=28, Resulting Numbers: [28]
28,53 unequal: No Solution
Moving to Node #0,3,0
Current State: 53:[15, 13], Operations: ['4+45=49', '62-49=13']
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,53 unequal: No Solution
Exploring Operation: 15*13=195, Resulting Numbers: [195]
195,53 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,53 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
48,
99,
72,
8
] | 74 | [
"48*99=4752",
"4752/72=66",
"8+66=74"
] | Current State: 74:[48, 99, 72, 8], Operations: []
Exploring Operation: 48*99=4752, Resulting Numbers: [72, 8, 4752]
Generated Node #2: [72, 8, 4752] from Operation: 48*99=4752
Current State: 74:[72, 8, 4752], Operations: ['48*99=4752']
Exploring Operation: 4752/72=66, Resulting Numbers: [8, 66]
Generated Node #3: [8, 66] from Operation: 4752/72=66
Current State: 74:[8, 66], Operations: ['48*99=4752', '4752/72=66']
Exploring Operation: 8+66=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[48, 99, 72, 8], Operations: []
Exploring Operation: 99-48=51, Resulting Numbers: [72, 8, 51]
Generated Node #0,0: 74:[72, 8, 51] Operation: 99-48=51
Moving to Node #0,0
Current State: 74:[72, 8, 51], Operations: ['99-48=51']
Exploring Operation: 51-8=43, Resulting Numbers: [72, 43]
Generated Node #0,0,0: 74:[72, 43] Operation: 51-8=43
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[72, 43], Operations: ['99-48=51', '51-8=43']
Exploring Operation: 72-43=29, Resulting Numbers: [29]
29,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
38,
4,
35,
90
] | 83 | [
"38+4=42",
"35+90=125",
"125-42=83"
] | Current State: 83:[38, 4, 35, 90], Operations: []
Exploring Operation: 38+4=42, Resulting Numbers: [35, 90, 42]
Generated Node #2: [35, 90, 42] from Operation: 38+4=42
Current State: 83:[35, 90, 42], Operations: ['38+4=42']
Exploring Operation: 35+90=125, Resulting Numbers: [42, 125]
Generated Node #3: [42, 125] from Operation: 35+90=125
Current State: 83:[42, 125], Operations: ['38+4=42', '35+90=125']
Exploring Operation: 125-42=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[38, 4, 35, 90], Operations: []
Exploring Operation: 38+4=42, Resulting Numbers: [35, 90, 42]
Generated Node #0,0: 83:[35, 90, 42] Operation: 38+4=42
Moving to Node #0,0
Current State: 83:[35, 90, 42], Operations: ['38+4=42']
Exploring Operation: 35+42=77, Resulting Numbers: [90, 77]
Generated Node #0,0,0: 83:[90, 77] Operation: 35+42=77
Moving to Node #0,0,0
Current State: 83:[90, 77], Operations: ['38+4=42', '35+42=77']
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,83 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
18,
50,
68,
5
] | 72 | [
"18*5=90",
"68-50=18",
"90-18=72"
] | Current State: 72:[18, 50, 68, 5], Operations: []
Exploring Operation: 18*5=90, Resulting Numbers: [50, 68, 90]
Generated Node #2: [50, 68, 90] from Operation: 18*5=90
Current State: 72:[50, 68, 90], Operations: ['18*5=90']
Exploring Operation: 68-50=18, Resulting Numbers: [90, 18]
Generated Node #3: [90, 18] from Operation: 68-50=18
Current State: 72:[90, 18], Operations: ['18*5=90', '68-50=18']
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[18, 50, 68, 5], Operations: []
Exploring Operation: 68-50=18, Resulting Numbers: [18, 5, 18]
Generated Node #0,0: 72:[18, 5, 18] Operation: 68-50=18
Moving to Node #0,0
Current State: 72:[18, 5, 18], Operations: ['68-50=18']
Exploring Operation: 18+5=23, Resulting Numbers: [18, 23]
Generated Node #0,0,0: 72:[18, 23] Operation: 18+5=23
Moving to Node #0,0,0
Current State: 72:[18, 23], Operations: ['68-50=18', '18+5=23']
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,72 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
27,
35,
6,
3
] | 65 | [
"27+35=62",
"6-3=3",
"62+3=65"
] | Current State: 65:[27, 35, 6, 3], Operations: []
Exploring Operation: 27+35=62, Resulting Numbers: [6, 3, 62]
Generated Node #2: [6, 3, 62] from Operation: 27+35=62
Current State: 65:[6, 3, 62], Operations: ['27+35=62']
Exploring Operation: 6-3=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 6-3=3
Current State: 65:[62, 3], Operations: ['27+35=62', '6-3=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[27, 35, 6, 3], Operations: []
Exploring Operation: 35-6=29, Resulting Numbers: [27, 3, 29]
Generated Node #0,0: 65:[27, 3, 29] Operation: 35-6=29
Exploring Operation: 35-27=8, Resulting Numbers: [6, 3, 8]
Generated Node #0,1: 65:[6, 3, 8] Operation: 35-27=8
Exploring Operation: 27+35=62, Resulting Numbers: [6, 3, 62]
Generated Node #0,2: 65:[6, 3, 62] Operation: 27+35=62
Exploring Operation: 27-6=21, Resulting Numbers: [35, 3, 21]
Generated Node #0,3: 65:[35, 3, 21] Operation: 27-6=21
Exploring Operation: 27/3=9, Resulting Numbers: [35, 6, 9]
Generated Node #0,4: 65:[35, 6, 9] Operation: 27/3=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[6, 3, 8], Operations: ['35-27=8']
Exploring Operation: 6+8=14, Resulting Numbers: [3, 14]
Generated Node #0,1,0: 65:[3, 14] Operation: 6+8=14
Exploring Operation: 6-3=3, Resulting Numbers: [8, 3]
Generated Node #0,1,1: 65:[8, 3] Operation: 6-3=3
Exploring Operation: 8-6=2, Resulting Numbers: [3, 2]
Generated Node #0,1,2: 65:[3, 2] Operation: 8-6=2
Exploring Operation: 3+8=11, Resulting Numbers: [6, 11]
Generated Node #0,1,3: 65:[6, 11] Operation: 3+8=11
Exploring Operation: 8-3=5, Resulting Numbers: [6, 5]
Generated Node #0,1,4: 65:[6, 5] Operation: 8-3=5
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 65:[6, 5], Operations: ['35-27=8', '8-3=5']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,65 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 #0,1,0
Current State: 65:[3, 14], Operations: ['35-27=8', '6+8=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,65 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,65 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 #0,1,3
Current State: 65:[6, 11], Operations: ['35-27=8', '3+8=11']
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,65 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 #0,1,1
Current State: 65:[8, 3], Operations: ['35-27=8', '6-3=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,65 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,65 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 #0,1,2
Current State: 65:[3, 2], Operations: ['35-27=8', '8-6=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,65 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: 65:[6, 3, 62], Operations: ['27+35=62']
Exploring Operation: 6+62=68, Resulting Numbers: [3, 68]
Generated Node #0,2,0: 65:[3, 68] Operation: 6+62=68
Exploring Operation: 6+3=9, Resulting Numbers: [62, 9]
Generated Node #0,2,1: 65:[62, 9] Operation: 6+3=9
Exploring Operation: 6/3=2, Resulting Numbers: [62, 2]
Generated Node #0,2,2: 65:[62, 2] Operation: 6/3=2
Exploring Operation: 3+62=65, Resulting Numbers: [6, 65]
Generated Node #0,2,3: 65:[6, 65] Operation: 3+62=65
Exploring Operation: 6-3=3, Resulting Numbers: [62, 3]
Generated Node #0,2,4: 65:[62, 3] Operation: 6-3=3
Moving to Node #0,2,3
Current State: 65:[6, 65], Operations: ['27+35=62', '3+62=65']
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Exploring Operation: 6+65=71, Resulting Numbers: [71]
71,65 unequal: No Solution
Exploring Operation: 6*65=390, Resulting Numbers: [390]
390,65 unequal: No Solution
Moving to Node #0,2,4
Current State: 65:[62, 3], Operations: ['27+35=62', '6-3=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Exploring Operation: 62*3=186, Resulting Numbers: [186]
186,65 unequal: No Solution
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[27, 35, 6, 3], Operations: []
Exploring Operation: 27+35=62, Resulting Numbers: [6, 3, 62]
Generated Node #0,2: 65:[6, 3, 62] Operation: 27+35=62
Moving to Node #0,2
Current State: 65:[6, 3, 62], Operations: ['27+35=62']
Exploring Operation: 6-3=3, Resulting Numbers: [62, 3]
Generated Node #0,2,4: 65:[62, 3] Operation: 6-3=3
Moving to Node #0,2,4
Current State: 65:[62, 3], Operations: ['27+35=62', '6-3=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_5 | sum_heuristic |
[
13,
73,
9,
42
] | 53 | [
"13+73=86",
"42-9=33",
"86-33=53"
] | Current State: 53:[13, 73, 9, 42], Operations: []
Exploring Operation: 13+73=86, Resulting Numbers: [9, 42, 86]
Generated Node #2: [9, 42, 86] from Operation: 13+73=86
Current State: 53:[9, 42, 86], Operations: ['13+73=86']
Exploring Operation: 42-9=33, Resulting Numbers: [86, 33]
Generated Node #3: [86, 33] from Operation: 42-9=33
Current State: 53:[86, 33], Operations: ['13+73=86', '42-9=33']
Exploring Operation: 86-33=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[13, 73, 9, 42], Operations: []
Exploring Operation: 73-13=60, Resulting Numbers: [9, 42, 60]
Generated Node #0,0: 53:[9, 42, 60] Operation: 73-13=60
Exploring Operation: 13+9=22, Resulting Numbers: [73, 42, 22]
Generated Node #0,1: 53:[73, 42, 22] Operation: 13+9=22
Moving to Node #0,0
Current State: 53:[9, 42, 60], Operations: ['73-13=60']
Exploring Operation: 9+42=51, Resulting Numbers: [60, 51]
Generated Node #0,0,0: 53:[60, 51] Operation: 9+42=51
Exploring Operation: 60-9=51, Resulting Numbers: [42, 51]
Generated Node #0,0,1: 53:[42, 51] Operation: 60-9=51
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[60, 51], Operations: ['73-13=60', '9+42=51']
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,53 unequal: No Solution
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[42, 51], Operations: ['73-13=60', '60-9=51']
Exploring Operation: 51-42=9, Resulting Numbers: [9]
9,53 unequal: No Solution
Exploring Operation: 42+51=93, Resulting Numbers: [93]
93,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 53:[73, 42, 22], Operations: ['13+9=22']
Exploring Operation: 73-22=51, Resulting Numbers: [42, 51]
Generated Node #0,1,0: 53:[42, 51] Operation: 73-22=51
Exploring Operation: 42+22=64, Resulting Numbers: [73, 64]
Generated Node #0,1,1: 53:[73, 64] Operation: 42+22=64
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[42, 51], Operations: ['13+9=22', '73-22=51']
Exploring Operation: 42+51=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 51-42=9, Resulting Numbers: [9]
9,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[73, 64], Operations: ['13+9=22', '42+22=64']
Exploring Operation: 73+64=137, Resulting Numbers: [137]
137,53 unequal: No Solution
Exploring Operation: 73-64=9, Resulting Numbers: [9]
9,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
91,
19,
5,
1
] | 66 | [
"91-19=72",
"5+1=6",
"72-6=66"
] | Current State: 66:[91, 19, 5, 1], Operations: []
Exploring Operation: 91-19=72, Resulting Numbers: [5, 1, 72]
Generated Node #2: [5, 1, 72] from Operation: 91-19=72
Current State: 66:[5, 1, 72], Operations: ['91-19=72']
Exploring Operation: 5+1=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 5+1=6
Current State: 66:[72, 6], Operations: ['91-19=72', '5+1=6']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[91, 19, 5, 1], Operations: []
Exploring Operation: 91-19=72, Resulting Numbers: [5, 1, 72]
Generated Node #0,0: 66:[5, 1, 72] Operation: 91-19=72
Exploring Operation: 91-5=86, Resulting Numbers: [19, 1, 86]
Generated Node #0,1: 66:[19, 1, 86] Operation: 91-5=86
Exploring Operation: 19+5=24, Resulting Numbers: [91, 1, 24]
Generated Node #0,2: 66:[91, 1, 24] Operation: 19+5=24
Exploring Operation: 91-1=90, Resulting Numbers: [19, 5, 90]
Generated Node #0,3: 66:[19, 5, 90] Operation: 91-1=90
Exploring Operation: 19+1=20, Resulting Numbers: [91, 5, 20]
Generated Node #0,4: 66:[91, 5, 20] Operation: 19+1=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[5, 1, 72], Operations: ['91-19=72']
Exploring Operation: 72-1=71, Resulting Numbers: [5, 71]
Generated Node #0,0,0: 66:[5, 71] Operation: 72-1=71
Exploring Operation: 5+1=6, Resulting Numbers: [72, 6]
Generated Node #0,0,1: 66:[72, 6] Operation: 5+1=6
Exploring Operation: 72-5=67, Resulting Numbers: [1, 67]
Generated Node #0,0,2: 66:[1, 67] Operation: 72-5=67
Exploring Operation: 5-1=4, Resulting Numbers: [72, 4]
Generated Node #0,0,3: 66:[72, 4] Operation: 5-1=4
Exploring Operation: 5*1=5, Resulting Numbers: [72, 5]
Generated Node #0,0,4: 66:[72, 5] Operation: 5*1=5
Moving to Node #0,0,2
Current State: 66:[1, 67], Operations: ['91-19=72', '72-5=67']
Exploring Operation: 67/1=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[91, 19, 5, 1], Operations: []
Exploring Operation: 91-19=72, Resulting Numbers: [5, 1, 72]
Generated Node #0,0: 66:[5, 1, 72] Operation: 91-19=72
Moving to Node #0,0
Current State: 66:[5, 1, 72], Operations: ['91-19=72']
Exploring Operation: 72-5=67, Resulting Numbers: [1, 67]
Generated Node #0,0,2: 66:[1, 67] Operation: 72-5=67
Moving to Node #0,0,2
Current State: 66:[1, 67], Operations: ['91-19=72', '72-5=67']
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
20,
88,
19,
12
] | 16 | [
"88-12=76",
"76/19=4",
"20-4=16"
] | Current State: 16:[20, 88, 19, 12], Operations: []
Exploring Operation: 88-12=76, Resulting Numbers: [20, 19, 76]
Generated Node #2: [20, 19, 76] from Operation: 88-12=76
Current State: 16:[20, 19, 76], Operations: ['88-12=76']
Exploring Operation: 76/19=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 76/19=4
Current State: 16:[20, 4], Operations: ['88-12=76', '76/19=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[20, 88, 19, 12], Operations: []
Exploring Operation: 20-19=1, Resulting Numbers: [88, 12, 1]
Generated Node #0,0: 16:[88, 12, 1] Operation: 20-19=1
Exploring Operation: 88-20=68, Resulting Numbers: [19, 12, 68]
Generated Node #0,1: 16:[19, 12, 68] Operation: 88-20=68
Exploring Operation: 20-12=8, Resulting Numbers: [88, 19, 8]
Generated Node #0,2: 16:[88, 19, 8] Operation: 20-12=8
Exploring Operation: 88-19=69, Resulting Numbers: [20, 12, 69]
Generated Node #0,3: 16:[20, 12, 69] Operation: 88-19=69
Exploring Operation: 88-12=76, Resulting Numbers: [20, 19, 76]
Generated Node #0,4: 16:[20, 19, 76] Operation: 88-12=76
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[19, 12, 68], Operations: ['88-20=68']
Exploring Operation: 19-12=7, Resulting Numbers: [68, 7]
Generated Node #0,1,0: 16:[68, 7] Operation: 19-12=7
Exploring Operation: 12+68=80, Resulting Numbers: [19, 80]
Generated Node #0,1,1: 16:[19, 80] Operation: 12+68=80
Exploring Operation: 68-19=49, Resulting Numbers: [12, 49]
Generated Node #0,1,2: 16:[12, 49] Operation: 68-19=49
Exploring Operation: 19+12=31, Resulting Numbers: [68, 31]
Generated Node #0,1,3: 16:[68, 31] Operation: 19+12=31
Exploring Operation: 68-12=56, Resulting Numbers: [19, 56]
Generated Node #0,1,4: 16:[19, 56] Operation: 68-12=56
Moving to Node #0,1,2
Current State: 16:[12, 49], Operations: ['88-20=68', '68-19=49']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,16 unequal: No Solution
Exploring Operation: 12+49=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 12*49=588, Resulting Numbers: [588]
588,16 unequal: No Solution
Moving to Node #0,1,4
Current State: 16:[19, 56], Operations: ['88-20=68', '68-12=56']
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,16 unequal: No Solution
Exploring Operation: 19+56=75, Resulting Numbers: [75]
75,16 unequal: No Solution
Exploring Operation: 19*56=1064, Resulting Numbers: [1064]
1064,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[68, 7], Operations: ['88-20=68', '19-12=7']
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 68*7=476, Resulting Numbers: [476]
476,16 unequal: No Solution
Exploring Operation: 68+7=75, Resulting Numbers: [75]
75,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[19, 80], Operations: ['88-20=68', '12+68=80']
Exploring Operation: 19*80=1520, Resulting Numbers: [1520]
1520,16 unequal: No Solution
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 19+80=99, Resulting Numbers: [99]
99,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[68, 31], Operations: ['88-20=68', '19+12=31']
Exploring Operation: 68*31=2108, Resulting Numbers: [2108]
2108,16 unequal: No Solution
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,16 unequal: No Solution
Exploring Operation: 68+31=99, Resulting Numbers: [99]
99,16 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:[20, 12, 69], Operations: ['88-19=69']
Exploring Operation: 12+69=81, Resulting Numbers: [20, 81]
Generated Node #0,3,0: 16:[20, 81] Operation: 12+69=81
Exploring Operation: 69-20=49, Resulting Numbers: [12, 49]
Generated Node #0,3,1: 16:[12, 49] Operation: 69-20=49
Exploring Operation: 20+12=32, Resulting Numbers: [69, 32]
Generated Node #0,3,2: 16:[69, 32] Operation: 20+12=32
Exploring Operation: 20-12=8, Resulting Numbers: [69, 8]
Generated Node #0,3,3: 16:[69, 8] Operation: 20-12=8
Exploring Operation: 69-12=57, Resulting Numbers: [20, 57]
Generated Node #0,3,4: 16:[20, 57] Operation: 69-12=57
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 16:[12, 49], Operations: ['88-19=69', '69-20=49']
Exploring Operation: 12*49=588, Resulting Numbers: [588]
588,16 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,16 unequal: No Solution
Exploring Operation: 12+49=61, Resulting Numbers: [61]
61,16 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:[20, 57], Operations: ['88-19=69', '69-12=57']
Exploring Operation: 20*57=1140, Resulting Numbers: [1140]
1140,16 unequal: No Solution
Exploring Operation: 20+57=77, Resulting Numbers: [77]
77,16 unequal: No Solution
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,16 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 #0,3,3
Current State: 16:[69, 8], Operations: ['88-19=69', '20-12=8']
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 69+8=77, Resulting Numbers: [77]
77,16 unequal: No Solution
Exploring Operation: 69*8=552, Resulting Numbers: [552]
552,16 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:[20, 81], Operations: ['88-19=69', '12+69=81']
Exploring Operation: 20+81=101, Resulting Numbers: [101]
101,16 unequal: No Solution
Exploring Operation: 81-20=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 20*81=1620, Resulting Numbers: [1620]
1620,16 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:[69, 32], Operations: ['88-19=69', '20+12=32']
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,16 unequal: No Solution
Exploring Operation: 69*32=2208, Resulting Numbers: [2208]
2208,16 unequal: No Solution
Exploring Operation: 69+32=101, Resulting Numbers: [101]
101,16 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 #0,4
Current State: 16:[20, 19, 76], Operations: ['88-12=76']
Exploring Operation: 20+19=39, Resulting Numbers: [76, 39]
Generated Node #0,4,0: 16:[76, 39] Operation: 20+19=39
Exploring Operation: 20-19=1, Resulting Numbers: [76, 1]
Generated Node #0,4,1: 16:[76, 1] Operation: 20-19=1
Exploring Operation: 76-20=56, Resulting Numbers: [19, 56]
Generated Node #0,4,2: 16:[19, 56] Operation: 76-20=56
Exploring Operation: 76/19=4, Resulting Numbers: [20, 4]
Generated Node #0,4,3: 16:[20, 4] Operation: 76/19=4
Exploring Operation: 76-19=57, Resulting Numbers: [20, 57]
Generated Node #0,4,4: 16:[20, 57] Operation: 76-19=57
Moving to Node #0,4,3
Current State: 16:[20, 4], Operations: ['88-12=76', '76/19=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,16 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[20, 88, 19, 12], Operations: []
Exploring Operation: 88-12=76, Resulting Numbers: [20, 19, 76]
Generated Node #0,4: 16:[20, 19, 76] Operation: 88-12=76
Moving to Node #0,4
Current State: 16:[20, 19, 76], Operations: ['88-12=76']
Exploring Operation: 76/19=4, Resulting Numbers: [20, 4]
Generated Node #0,4,3: 16:[20, 4] Operation: 76/19=4
Moving to Node #0,4,3
Current State: 16:[20, 4], Operations: ['88-12=76', '76/19=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.950521 | hs_5 | sum_heuristic |
[
25,
57,
53,
23
] | 52 | [
"25+57=82",
"53-23=30",
"82-30=52"
] | Current State: 52:[25, 57, 53, 23], Operations: []
Exploring Operation: 25+57=82, Resulting Numbers: [53, 23, 82]
Generated Node #2: [53, 23, 82] from Operation: 25+57=82
Current State: 52:[53, 23, 82], Operations: ['25+57=82']
Exploring Operation: 53-23=30, Resulting Numbers: [82, 30]
Generated Node #3: [82, 30] from Operation: 53-23=30
Current State: 52:[82, 30], Operations: ['25+57=82', '53-23=30']
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[25, 57, 53, 23], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [25, 23, 4]
Generated Node #0,0: 52:[25, 23, 4] Operation: 57-53=4
Exploring Operation: 25+23=48, Resulting Numbers: [57, 53, 48]
Generated Node #0,1: 52:[57, 53, 48] Operation: 25+23=48
Exploring Operation: 57-25=32, Resulting Numbers: [53, 23, 32]
Generated Node #0,2: 52:[53, 23, 32] Operation: 57-25=32
Exploring Operation: 25-23=2, Resulting Numbers: [57, 53, 2]
Generated Node #0,3: 52:[57, 53, 2] Operation: 25-23=2
Exploring Operation: 53-25=28, Resulting Numbers: [57, 23, 28]
Generated Node #0,4: 52:[57, 23, 28] Operation: 53-25=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[25, 23, 4], Operations: ['57-53=4']
Exploring Operation: 23+4=27, Resulting Numbers: [25, 27]
Generated Node #0,0,0: 52:[25, 27] Operation: 23+4=27
Exploring Operation: 25+4=29, Resulting Numbers: [23, 29]
Generated Node #0,0,1: 52:[23, 29] Operation: 25+4=29
Exploring Operation: 25+23=48, Resulting Numbers: [4, 48]
Generated Node #0,0,2: 52:[4, 48] Operation: 25+23=48
Exploring Operation: 25-23=2, Resulting Numbers: [4, 2]
Generated Node #0,0,3: 52:[4, 2] Operation: 25-23=2
Exploring Operation: 23-4=19, Resulting Numbers: [25, 19]
Generated Node #0,0,4: 52:[25, 19] Operation: 23-4=19
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 52:[4, 2], Operations: ['57-53=4', '25-23=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,52 unequal: No Solution
No 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: 52:[25, 27], Operations: ['57-53=4', '23+4=27']
Exploring Operation: 25*27=675, Resulting Numbers: [675]
675,52 unequal: No Solution
Exploring Operation: 27-25=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 25+27=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[25, 57, 53, 23], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [25, 23, 4]
Generated Node #0,0: 52:[25, 23, 4] Operation: 57-53=4
Moving to Node #0,0
Current State: 52:[25, 23, 4], Operations: ['57-53=4']
Exploring Operation: 23+4=27, Resulting Numbers: [25, 27]
Generated Node #0,0,0: 52:[25, 27] Operation: 23+4=27
Moving to Node #0,0,0
Current State: 52:[25, 27], Operations: ['57-53=4', '23+4=27']
Exploring Operation: 25+27=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
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