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 |
|---|---|---|---|---|---|---|---|---|
[
46,
48,
59,
72
] | 50 | [
"46+72=118",
"118/59=2",
"48+2=50"
] | Current State: 50:[46, 48, 59, 72], Operations: []
Exploring Operation: 46+72=118, Resulting Numbers: [48, 59, 118]
Generated Node #2: [48, 59, 118] from Operation: 46+72=118
Current State: 50:[48, 59, 118], Operations: ['46+72=118']
Exploring Operation: 118/59=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 118/59=2
Current State: 50:[48, 2], Operations: ['46+72=118', '118/59=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[46, 48, 59, 72], Operations: []
Exploring Operation: 72-59=13, Resulting Numbers: [46, 48, 13]
Generated Node #0,0: 50:[46, 48, 13] Operation: 72-59=13
Exploring Operation: 72-46=26, Resulting Numbers: [48, 59, 26]
Generated Node #0,1: 50:[48, 59, 26] Operation: 72-46=26
Exploring Operation: 59-46=13, Resulting Numbers: [48, 72, 13]
Generated Node #0,2: 50:[48, 72, 13] Operation: 59-46=13
Exploring Operation: 72-48=24, Resulting Numbers: [46, 59, 24]
Generated Node #0,3: 50:[46, 59, 24] Operation: 72-48=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[46, 48, 13], Operations: ['72-59=13']
Exploring Operation: 48-46=2, Resulting Numbers: [13, 2]
Generated Node #0,0,0: 50:[13, 2] Operation: 48-46=2
Exploring Operation: 48-13=35, Resulting Numbers: [46, 35]
Generated Node #0,0,1: 50:[46, 35] Operation: 48-13=35
Exploring Operation: 46+13=59, Resulting Numbers: [48, 59]
Generated Node #0,0,2: 50:[48, 59] Operation: 46+13=59
Exploring Operation: 46-13=33, Resulting Numbers: [48, 33]
Generated Node #0,0,3: 50:[48, 33] Operation: 46-13=33
Moving to Node #0,0,0
Current State: 50:[13, 2], Operations: ['72-59=13', '48-46=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,50 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,50 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Moving to Node #0,0,3
Current State: 50:[48, 33], Operations: ['72-59=13', '46-13=33']
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,50 unequal: No Solution
Exploring Operation: 48+33=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 48*33=1584, Resulting Numbers: [1584]
1584,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[48, 59], Operations: ['72-59=13', '46+13=59']
Exploring Operation: 48*59=2832, Resulting Numbers: [2832]
2832,50 unequal: No Solution
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 48+59=107, Resulting Numbers: [107]
107,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[46, 35], Operations: ['72-59=13', '48-13=35']
Exploring Operation: 46+35=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 46*35=1610, Resulting Numbers: [1610]
1610,50 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,50 unequal: No Solution
No solution 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: 50:[48, 59, 26], Operations: ['72-46=26']
Exploring Operation: 48+26=74, Resulting Numbers: [59, 74]
Generated Node #0,1,0: 50:[59, 74] Operation: 48+26=74
Exploring Operation: 59-48=11, Resulting Numbers: [26, 11]
Generated Node #0,1,1: 50:[26, 11] Operation: 59-48=11
Exploring Operation: 59-26=33, Resulting Numbers: [48, 33]
Generated Node #0,1,2: 50:[48, 33] Operation: 59-26=33
Exploring Operation: 48-26=22, Resulting Numbers: [59, 22]
Generated Node #0,1,3: 50:[59, 22] Operation: 48-26=22
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 50:[26, 11], Operations: ['72-46=26', '59-48=11']
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,50 unequal: No Solution
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,50 unequal: No Solution
No 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: 50:[48, 33], Operations: ['72-46=26', '59-26=33']
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,50 unequal: No Solution
Exploring Operation: 48*33=1584, Resulting Numbers: [1584]
1584,50 unequal: No Solution
Exploring Operation: 48+33=81, Resulting Numbers: [81]
81,50 unequal: No Solution
No 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: 50:[59, 22], Operations: ['72-46=26', '48-26=22']
Exploring Operation: 59*22=1298, Resulting Numbers: [1298]
1298,50 unequal: No Solution
Exploring Operation: 59-22=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 59+22=81, Resulting Numbers: [81]
81,50 unequal: No Solution
No 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: 50:[59, 74], Operations: ['72-46=26', '48+26=74']
Exploring Operation: 59*74=4366, Resulting Numbers: [4366]
4366,50 unequal: No Solution
Exploring Operation: 74-59=15, Resulting Numbers: [15]
15,50 unequal: No Solution
Exploring Operation: 59+74=133, Resulting Numbers: [133]
133,50 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: 50:[46, 59, 24], Operations: ['72-48=24']
Exploring Operation: 46+24=70, Resulting Numbers: [59, 70]
Generated Node #0,3,0: 50:[59, 70] Operation: 46+24=70
Exploring Operation: 59-24=35, Resulting Numbers: [46, 35]
Generated Node #0,3,1: 50:[46, 35] Operation: 59-24=35
Exploring Operation: 59-46=13, Resulting Numbers: [24, 13]
Generated Node #0,3,2: 50:[24, 13] Operation: 59-46=13
Exploring Operation: 46-24=22, Resulting Numbers: [59, 22]
Generated Node #0,3,3: 50:[59, 22] Operation: 46-24=22
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 50:[24, 13], Operations: ['72-48=24', '59-46=13']
Exploring Operation: 24*13=312, Resulting Numbers: [312]
312,50 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,50 unequal: No Solution
No 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: 50:[59, 22], Operations: ['72-48=24', '46-24=22']
Exploring Operation: 59-22=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 59+22=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 59*22=1298, Resulting Numbers: [1298]
1298,50 unequal: No Solution
No 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: 50:[46, 35], Operations: ['72-48=24', '59-24=35']
Exploring Operation: 46+35=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 46*35=1610, Resulting Numbers: [1610]
1610,50 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,50 unequal: No Solution
No 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: 50:[59, 70], Operations: ['72-48=24', '46+24=70']
Exploring Operation: 70-59=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 59+70=129, Resulting Numbers: [129]
129,50 unequal: No Solution
Exploring Operation: 59*70=4130, Resulting Numbers: [4130]
4130,50 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: 50:[48, 72, 13], Operations: ['59-46=13']
Exploring Operation: 48+13=61, Resulting Numbers: [72, 61]
Generated Node #0,2,0: 50:[72, 61] Operation: 48+13=61
Exploring Operation: 48-13=35, Resulting Numbers: [72, 35]
Generated Node #0,2,1: 50:[72, 35] Operation: 48-13=35
Exploring Operation: 72-13=59, Resulting Numbers: [48, 59]
Generated Node #0,2,2: 50:[48, 59] Operation: 72-13=59
Exploring Operation: 72-48=24, Resulting Numbers: [13, 24]
Generated Node #0,2,3: 50:[13, 24] Operation: 72-48=24
Moving to Node #0,2,3
Current State: 50:[13, 24], Operations: ['59-46=13', '72-48=24']
Exploring Operation: 13*24=312, Resulting Numbers: [312]
312,50 unequal: No Solution
Exploring Operation: 13+24=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Moving to Node #0,2,2
Current State: 50:[48, 59], Operations: ['59-46=13', '72-13=59']
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 48*59=2832, Resulting Numbers: [2832]
2832,50 unequal: No Solution
Exploring Operation: 48+59=107, Resulting Numbers: [107]
107,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[72, 35], Operations: ['59-46=13', '48-13=35']
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 72*35=2520, Resulting Numbers: [2520]
2520,50 unequal: No Solution
Exploring Operation: 72+35=107, Resulting Numbers: [107]
107,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[72, 61], Operations: ['59-46=13', '48+13=61']
Exploring Operation: 72-61=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 72*61=4392, Resulting Numbers: [4392]
4392,50 unequal: No Solution
Exploring Operation: 72+61=133, Resulting Numbers: [133]
133,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
35,
32,
78,
96
] | 21 | [
"35-32=3",
"96-78=18",
"3+18=21"
] | Current State: 21:[35, 32, 78, 96], Operations: []
Exploring Operation: 35-32=3, Resulting Numbers: [78, 96, 3]
Generated Node #2: [78, 96, 3] from Operation: 35-32=3
Current State: 21:[78, 96, 3], Operations: ['35-32=3']
Exploring Operation: 96-78=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 96-78=18
Current State: 21:[3, 18], Operations: ['35-32=3', '96-78=18']
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[35, 32, 78, 96], Operations: []
Exploring Operation: 96-78=18, Resulting Numbers: [35, 32, 18]
Generated Node #0,0: 21:[35, 32, 18] Operation: 96-78=18
Exploring Operation: 96/32=3, Resulting Numbers: [35, 78, 3]
Generated Node #0,1: 21:[35, 78, 3] Operation: 96/32=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[35, 32, 18], Operations: ['96-78=18']
Exploring Operation: 35-32=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 21:[18, 3] Operation: 35-32=3
Exploring Operation: 35-18=17, Resulting Numbers: [32, 17]
Generated Node #0,0,1: 21:[32, 17] Operation: 35-18=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[18, 3], Operations: ['96-78=18', '35-32=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[35, 32, 78, 96], Operations: []
Exploring Operation: 96-78=18, Resulting Numbers: [35, 32, 18]
Generated Node #0,0: 21:[35, 32, 18] Operation: 96-78=18
Moving to Node #0,0
Current State: 21:[35, 32, 18], Operations: ['96-78=18']
Exploring Operation: 35-32=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 21:[18, 3] Operation: 35-32=3
Moving to Node #0,0,0
Current State: 21:[18, 3], Operations: ['96-78=18', '35-32=3']
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
66,
20,
4,
66
] | 52 | [
"66+66=132",
"20*4=80",
"132-80=52"
] | Current State: 52:[66, 20, 4, 66], Operations: []
Exploring Operation: 66+66=132, Resulting Numbers: [20, 4, 132]
Generated Node #2: [20, 4, 132] from Operation: 66+66=132
Current State: 52:[20, 4, 132], Operations: ['66+66=132']
Exploring Operation: 20*4=80, Resulting Numbers: [132, 80]
Generated Node #3: [132, 80] from Operation: 20*4=80
Current State: 52:[132, 80], Operations: ['66+66=132', '20*4=80']
Exploring Operation: 132-80=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[66, 20, 4, 66], Operations: []
Exploring Operation: 66-20=46, Resulting Numbers: [4, 66, 46]
Generated Node #0,0: 52:[4, 66, 46] Operation: 66-20=46
Exploring Operation: 66-20=46, Resulting Numbers: [66, 4, 46]
Generated Node #0,1: 52:[66, 4, 46] Operation: 66-20=46
Exploring Operation: 66-66=0, Resulting Numbers: [20, 4, 0]
Generated Node #0,2: 52:[20, 4, 0] Operation: 66-66=0
Exploring Operation: 20/4=5, Resulting Numbers: [66, 66, 5]
Generated Node #0,3: 52:[66, 66, 5] Operation: 20/4=5
Exploring Operation: 66/66=1, Resulting Numbers: [20, 4, 1]
Generated Node #0,4: 52:[20, 4, 1] Operation: 66/66=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 52:[20, 4, 1], Operations: ['66/66=1']
Exploring Operation: 20+4=24, Resulting Numbers: [1, 24]
Generated Node #0,4,0: 52:[1, 24] Operation: 20+4=24
Exploring Operation: 20-4=16, Resulting Numbers: [1, 16]
Generated Node #0,4,1: 52:[1, 16] Operation: 20-4=16
Exploring Operation: 20/4=5, Resulting Numbers: [1, 5]
Generated Node #0,4,2: 52:[1, 5] Operation: 20/4=5
Exploring Operation: 20+1=21, Resulting Numbers: [4, 21]
Generated Node #0,4,3: 52:[4, 21] Operation: 20+1=21
Exploring Operation: 20*1=20, Resulting Numbers: [4, 20]
Generated Node #0,4,4: 52:[4, 20] Operation: 20*1=20
Moving to Node #0,4,2
Current State: 52:[1, 5], Operations: ['66/66=1', '20/4=5']
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Moving to Node #0,4,0
Current State: 52:[1, 24], Operations: ['66/66=1', '20+4=24']
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Moving to Node #0,4,1
Current State: 52:[1, 16], Operations: ['66/66=1', '20-4=16']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Moving to Node #0,4,3
Current State: 52:[4, 21], Operations: ['66/66=1', '20+1=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,52 unequal: No Solution
Moving to Node #0,4,4
Current State: 52:[4, 20], Operations: ['66/66=1', '20*1=20']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[20, 4, 0], Operations: ['66-66=0']
Exploring Operation: 20+0=20, Resulting Numbers: [4, 20]
Generated Node #0,2,0: 52:[4, 20] Operation: 20+0=20
Exploring Operation: 20*0=0, Resulting Numbers: [4, 0]
Generated Node #0,2,1: 52:[4, 0] Operation: 20*0=0
Exploring Operation: 20/4=5, Resulting Numbers: [0, 5]
Generated Node #0,2,2: 52:[0, 5] Operation: 20/4=5
Exploring Operation: 20-4=16, Resulting Numbers: [0, 16]
Generated Node #0,2,3: 52:[0, 16] Operation: 20-4=16
Exploring Operation: 20+4=24, Resulting Numbers: [0, 24]
Generated Node #0,2,4: 52:[0, 24] Operation: 20+4=24
Moving to Node #0,2,1
Current State: 52:[4, 0], Operations: ['66-66=0', '20*0=0']
Exploring Operation: 4*0=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[0, 5], Operations: ['66-66=0', '20/4=5']
Exploring Operation: 5-0=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 0+5=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 0*5=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Moving to Node #0,2,4
Current State: 52:[0, 24], Operations: ['66-66=0', '20+4=24']
Exploring Operation: 24-0=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 0*24=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Exploring Operation: 0+24=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[0, 16], Operations: ['66-66=0', '20-4=16']
Exploring Operation: 0+16=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 0*16=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Exploring Operation: 16-0=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[4, 20], Operations: ['66-66=0', '20+0=20']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[4, 66, 46], Operations: ['66-20=46']
Exploring Operation: 66-4=62, Resulting Numbers: [46, 62]
Generated Node #0,0,0: 52:[46, 62] Operation: 66-4=62
Exploring Operation: 4+66=70, Resulting Numbers: [46, 70]
Generated Node #0,0,1: 52:[46, 70] Operation: 4+66=70
Exploring Operation: 66-46=20, Resulting Numbers: [4, 20]
Generated Node #0,0,2: 52:[4, 20] Operation: 66-46=20
Exploring Operation: 4+46=50, Resulting Numbers: [66, 50]
Generated Node #0,0,3: 52:[66, 50] Operation: 4+46=50
Exploring Operation: 46-4=42, Resulting Numbers: [66, 42]
Generated Node #0,0,4: 52:[66, 42] Operation: 46-4=42
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 52:[4, 20], Operations: ['66-20=46', '66-46=20']
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,52 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,52 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:[46, 62], Operations: ['66-20=46', '66-4=62']
Exploring Operation: 62-46=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 46+62=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Exploring Operation: 46*62=2852, Resulting Numbers: [2852]
2852,52 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 #0,0,3
Current State: 52:[66, 50], Operations: ['66-20=46', '4+46=50']
Exploring Operation: 66+50=116, Resulting Numbers: [116]
116,52 unequal: No Solution
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 66*50=3300, Resulting Numbers: [3300]
3300,52 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 #0,0,1
Current State: 52:[46, 70], Operations: ['66-20=46', '4+66=70']
Exploring Operation: 46+70=116, Resulting Numbers: [116]
116,52 unequal: No Solution
Exploring Operation: 70-46=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 46*70=3220, Resulting Numbers: [3220]
3220,52 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 #0,0,4
Current State: 52:[66, 42], Operations: ['66-20=46', '46-4=42']
Exploring Operation: 66+42=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Exploring Operation: 66-42=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 66*42=2772, Resulting Numbers: [2772]
2772,52 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 #0,1
Current State: 52:[66, 4, 46], Operations: ['66-20=46']
Exploring Operation: 66-46=20, Resulting Numbers: [4, 20]
Generated Node #0,1,0: 52:[4, 20] Operation: 66-46=20
Exploring Operation: 66+4=70, Resulting Numbers: [46, 70]
Generated Node #0,1,1: 52:[46, 70] Operation: 66+4=70
Exploring Operation: 46-4=42, Resulting Numbers: [66, 42]
Generated Node #0,1,2: 52:[66, 42] Operation: 46-4=42
Exploring Operation: 66-4=62, Resulting Numbers: [46, 62]
Generated Node #0,1,3: 52:[46, 62] Operation: 66-4=62
Exploring Operation: 4+46=50, Resulting Numbers: [66, 50]
Generated Node #0,1,4: 52:[66, 50] Operation: 4+46=50
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[4, 20], Operations: ['66-20=46', '66-46=20']
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,52 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,52 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 #0,1,3
Current State: 52:[46, 62], Operations: ['66-20=46', '66-4=62']
Exploring Operation: 62-46=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 46+62=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Exploring Operation: 46*62=2852, Resulting Numbers: [2852]
2852,52 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 #0,1,4
Current State: 52:[66, 50], Operations: ['66-20=46', '4+46=50']
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 66+50=116, Resulting Numbers: [116]
116,52 unequal: No Solution
Exploring Operation: 66*50=3300, Resulting Numbers: [3300]
3300,52 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:[46, 70], Operations: ['66-20=46', '66+4=70']
Exploring Operation: 46+70=116, Resulting Numbers: [116]
116,52 unequal: No Solution
Exploring Operation: 70-46=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 46*70=3220, Resulting Numbers: [3220]
3220,52 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 #0,1,2
Current State: 52:[66, 42], Operations: ['66-20=46', '46-4=42']
Exploring Operation: 66*42=2772, Resulting Numbers: [2772]
2772,52 unequal: No Solution
Exploring Operation: 66-42=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 66+42=108, Resulting Numbers: [108]
108,52 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 #0,3
Current State: 52:[66, 66, 5], Operations: ['20/4=5']
Exploring Operation: 66-66=0, Resulting Numbers: [5, 0]
Generated Node #0,3,0: 52:[5, 0] Operation: 66-66=0
Exploring Operation: 66-5=61, Resulting Numbers: [66, 61]
Generated Node #0,3,1: 52:[66, 61] Operation: 66-5=61
Exploring Operation: 66-5=61, Resulting Numbers: [66, 61]
Generated Node #0,3,2: 52:[66, 61] Operation: 66-5=61
Exploring Operation: 66/66=1, Resulting Numbers: [5, 1]
Generated Node #0,3,3: 52:[5, 1] Operation: 66/66=1
Exploring Operation: 66+5=71, Resulting Numbers: [66, 71]
Generated Node #0,3,4: 52:[66, 71] Operation: 66+5=71
Moving to Node #0,3,3
Current State: 52:[5, 1], Operations: ['20/4=5', '66/66=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Moving to Node #0,3,0
Current State: 52:[5, 0], Operations: ['20/4=5', '66-66=0']
Exploring Operation: 5+0=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 5-0=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 5*0=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Moving to Node #0,3,1
Current State: 52:[66, 61], Operations: ['20/4=5', '66-5=61']
Exploring Operation: 66+61=127, Resulting Numbers: [127]
127,52 unequal: No Solution
Exploring Operation: 66-61=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 66*61=4026, Resulting Numbers: [4026]
4026,52 unequal: No Solution
Moving to Node #0,3,2
Current State: 52:[66, 61], Operations: ['20/4=5', '66-5=61']
Exploring Operation: 66-61=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 66+61=127, Resulting Numbers: [127]
127,52 unequal: No Solution
Exploring Operation: 66*61=4026, Resulting Numbers: [4026]
4026,52 unequal: No Solution
Moving to Node #0,3,4
Current State: 52:[66, 71], Operations: ['20/4=5', '66+5=71']
Exploring Operation: 66*71=4686, Resulting Numbers: [4686]
4686,52 unequal: No Solution
Exploring Operation: 71-66=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 66+71=137, Resulting Numbers: [137]
137,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
65,
45,
17,
50
] | 90 | [
"65-17=48",
"50-48=2",
"45*2=90"
] | Current State: 90:[65, 45, 17, 50], Operations: []
Exploring Operation: 65-17=48, Resulting Numbers: [45, 50, 48]
Generated Node #2: [45, 50, 48] from Operation: 65-17=48
Current State: 90:[45, 50, 48], Operations: ['65-17=48']
Exploring Operation: 50-48=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 50-48=2
Current State: 90:[45, 2], Operations: ['65-17=48', '50-48=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[65, 45, 17, 50], Operations: []
Exploring Operation: 65-50=15, Resulting Numbers: [45, 17, 15]
Generated Node #0,0: 90:[45, 17, 15] Operation: 65-50=15
Exploring Operation: 65-17=48, Resulting Numbers: [45, 50, 48]
Generated Node #0,1: 90:[45, 50, 48] Operation: 65-17=48
Exploring Operation: 65-45=20, Resulting Numbers: [17, 50, 20]
Generated Node #0,2: 90:[17, 50, 20] Operation: 65-45=20
Moving to Node #0,0
Current State: 90:[45, 17, 15], Operations: ['65-50=15']
Exploring Operation: 45-15=30, Resulting Numbers: [17, 30]
Generated Node #0,0,0: 90:[17, 30] Operation: 45-15=30
Exploring Operation: 17-15=2, Resulting Numbers: [45, 2]
Generated Node #0,0,1: 90:[45, 2] Operation: 17-15=2
Exploring Operation: 45/15=3, Resulting Numbers: [17, 3]
Generated Node #0,0,2: 90:[17, 3] Operation: 45/15=3
Moving to Node #0,1
Current State: 90:[45, 50, 48], Operations: ['65-17=48']
Exploring Operation: 50-45=5, Resulting Numbers: [48, 5]
Generated Node #0,1,0: 90:[48, 5] Operation: 50-45=5
Exploring Operation: 50-48=2, Resulting Numbers: [45, 2]
Generated Node #0,1,1: 90:[45, 2] Operation: 50-48=2
Exploring Operation: 48-45=3, Resulting Numbers: [50, 3]
Generated Node #0,1,2: 90:[50, 3] Operation: 48-45=3
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[45, 2], Operations: ['65-17=48', '50-48=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[65, 45, 17, 50], Operations: []
Exploring Operation: 65-17=48, Resulting Numbers: [45, 50, 48]
Generated Node #0,1: 90:[45, 50, 48] Operation: 65-17=48
Moving to Node #0,1
Current State: 90:[45, 50, 48], Operations: ['65-17=48']
Exploring Operation: 50-48=2, Resulting Numbers: [45, 2]
Generated Node #0,1,1: 90:[45, 2] Operation: 50-48=2
Moving to Node #0,1,1
Current State: 90:[45, 2], Operations: ['65-17=48', '50-48=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
85,
94,
9,
80
] | 11 | [
"85+94=179",
"179-80=99",
"99/9=11"
] | Current State: 11:[85, 94, 9, 80], Operations: []
Exploring Operation: 85+94=179, Resulting Numbers: [9, 80, 179]
Generated Node #2: [9, 80, 179] from Operation: 85+94=179
Current State: 11:[9, 80, 179], Operations: ['85+94=179']
Exploring Operation: 179-80=99, Resulting Numbers: [9, 99]
Generated Node #3: [9, 99] from Operation: 179-80=99
Current State: 11:[9, 99], Operations: ['85+94=179', '179-80=99']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[85, 94, 9, 80], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [85, 9, 14]
Generated Node #0,0: 11:[85, 9, 14] Operation: 94-80=14
Exploring Operation: 94-85=9, Resulting Numbers: [9, 80, 9]
Generated Node #0,1: 11:[9, 80, 9] Operation: 94-85=9
Exploring Operation: 85-80=5, Resulting Numbers: [94, 9, 5]
Generated Node #0,2: 11:[94, 9, 5] Operation: 85-80=5
Exploring Operation: 85-9=76, Resulting Numbers: [94, 80, 76]
Generated Node #0,3: 11:[94, 80, 76] Operation: 85-9=76
Moving to Node #0,1
Current State: 11:[9, 80, 9], Operations: ['94-85=9']
Exploring Operation: 9+9=18, Resulting Numbers: [80, 18]
Generated Node #0,1,0: 11:[80, 18] Operation: 9+9=18
Exploring Operation: 80-9=71, Resulting Numbers: [9, 71]
Generated Node #0,1,1: 11:[9, 71] Operation: 80-9=71
Exploring Operation: 80-9=71, Resulting Numbers: [9, 71]
Generated Node #0,1,2: 11:[9, 71] Operation: 80-9=71
Exploring Operation: 9/9=1, Resulting Numbers: [80, 1]
Generated Node #0,1,3: 11:[80, 1] Operation: 9/9=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[9, 71], Operations: ['94-85=9', '80-9=71']
Exploring Operation: 9*71=639, Resulting Numbers: [639]
639,11 unequal: No Solution
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,11 unequal: No Solution
Exploring Operation: 9+71=80, Resulting Numbers: [80]
80,11 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:[9, 71], Operations: ['94-85=9', '80-9=71']
Exploring Operation: 9*71=639, Resulting Numbers: [639]
639,11 unequal: No Solution
Exploring Operation: 9+71=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,11 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:[80, 18], Operations: ['94-85=9', '9+9=18']
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,11 unequal: No Solution
Exploring Operation: 80*18=1440, Resulting Numbers: [1440]
1440,11 unequal: No Solution
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,11 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 #0,1,3
Current State: 11:[80, 1], Operations: ['94-85=9', '9/9=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,11 unequal: No Solution
Exploring Operation: 80/1=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,11 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: 11:[85, 9, 14], Operations: ['94-80=14']
Exploring Operation: 85+9=94, Resulting Numbers: [14, 94]
Generated Node #0,0,0: 11:[14, 94] Operation: 85+9=94
Exploring Operation: 85-14=71, Resulting Numbers: [9, 71]
Generated Node #0,0,1: 11:[9, 71] Operation: 85-14=71
Exploring Operation: 14-9=5, Resulting Numbers: [85, 5]
Generated Node #0,0,2: 11:[85, 5] Operation: 14-9=5
Exploring Operation: 85-9=76, Resulting Numbers: [14, 76]
Generated Node #0,0,3: 11:[14, 76] Operation: 85-9=76
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[9, 71], Operations: ['94-80=14', '85-14=71']
Exploring Operation: 9*71=639, Resulting Numbers: [639]
639,11 unequal: No Solution
Exploring Operation: 9+71=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,11 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 #0,0,3
Current State: 11:[14, 76], Operations: ['94-80=14', '85-9=76']
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,11 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,11 unequal: No Solution
Exploring Operation: 14*76=1064, Resulting Numbers: [1064]
1064,11 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 #0,0,2
Current State: 11:[85, 5], Operations: ['94-80=14', '14-9=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 85*5=425, Resulting Numbers: [425]
425,11 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,11 unequal: No Solution
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,11 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 #0,0,0
Current State: 11:[14, 94], Operations: ['94-80=14', '85+9=94']
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 14+94=108, Resulting Numbers: [108]
108,11 unequal: No Solution
Exploring Operation: 14*94=1316, Resulting Numbers: [1316]
1316,11 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:[94, 9, 5], Operations: ['85-80=5']
Exploring Operation: 94+5=99, Resulting Numbers: [9, 99]
Generated Node #0,2,0: 11:[9, 99] Operation: 94+5=99
Exploring Operation: 94-5=89, Resulting Numbers: [9, 89]
Generated Node #0,2,1: 11:[9, 89] Operation: 94-5=89
Exploring Operation: 9+5=14, Resulting Numbers: [94, 14]
Generated Node #0,2,2: 11:[94, 14] Operation: 9+5=14
Exploring Operation: 94-9=85, Resulting Numbers: [5, 85]
Generated Node #0,2,3: 11:[5, 85] Operation: 94-9=85
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 11:[9, 89], Operations: ['85-80=5', '94-5=89']
Exploring Operation: 9*89=801, Resulting Numbers: [801]
801,11 unequal: No Solution
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 9+89=98, Resulting Numbers: [98]
98,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 11:[5, 85], Operations: ['85-80=5', '94-9=85']
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,11 unequal: No Solution
Exploring Operation: 5*85=425, Resulting Numbers: [425]
425,11 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,11 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 11:[94, 14], Operations: ['85-80=5', '9+5=14']
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 94*14=1316, Resulting Numbers: [1316]
1316,11 unequal: No Solution
Exploring Operation: 94+14=108, Resulting Numbers: [108]
108,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 11:[9, 99], Operations: ['85-80=5', '94+5=99']
Exploring Operation: 9+99=108, Resulting Numbers: [108]
108,11 unequal: No Solution
Exploring Operation: 9*99=891, Resulting Numbers: [891]
891,11 unequal: No Solution
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[85, 94, 9, 80], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [94, 9, 5]
Generated Node #0,2: 11:[94, 9, 5] Operation: 85-80=5
Moving to Node #0,2
Current State: 11:[94, 9, 5], Operations: ['85-80=5']
Exploring Operation: 94+5=99, Resulting Numbers: [9, 99]
Generated Node #0,2,0: 11:[9, 99] Operation: 94+5=99
Moving to Node #0,2,0
Current State: 11:[9, 99], Operations: ['85-80=5', '94+5=99']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.948785 | hs_4 | sum_heuristic |
[
98,
40,
4,
72
] | 62 | [
"98+40=138",
"4+72=76",
"138-76=62"
] | Current State: 62:[98, 40, 4, 72], Operations: []
Exploring Operation: 98+40=138, Resulting Numbers: [4, 72, 138]
Generated Node #2: [4, 72, 138] from Operation: 98+40=138
Current State: 62:[4, 72, 138], Operations: ['98+40=138']
Exploring Operation: 4+72=76, Resulting Numbers: [138, 76]
Generated Node #3: [138, 76] from Operation: 4+72=76
Current State: 62:[138, 76], Operations: ['98+40=138', '4+72=76']
Exploring Operation: 138-76=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[98, 40, 4, 72], Operations: []
Exploring Operation: 72-40=32, Resulting Numbers: [98, 4, 32]
Generated Node #0,0: 62:[98, 4, 32] Operation: 72-40=32
Exploring Operation: 98-40=58, Resulting Numbers: [4, 72, 58]
Generated Node #0,1: 62:[4, 72, 58] Operation: 98-40=58
Exploring Operation: 98-4=94, Resulting Numbers: [40, 72, 94]
Generated Node #0,2: 62:[40, 72, 94] Operation: 98-4=94
Exploring Operation: 98-72=26, Resulting Numbers: [40, 4, 26]
Generated Node #0,3: 62:[40, 4, 26] Operation: 98-72=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[4, 72, 58], Operations: ['98-40=58']
Exploring Operation: 4+58=62, Resulting Numbers: [72, 62]
Generated Node #0,1,0: 62:[72, 62] Operation: 4+58=62
Exploring Operation: 72/4=18, Resulting Numbers: [58, 18]
Generated Node #0,1,1: 62:[58, 18] Operation: 72/4=18
Exploring Operation: 72-4=68, Resulting Numbers: [58, 68]
Generated Node #0,1,2: 62:[58, 68] Operation: 72-4=68
Exploring Operation: 72-58=14, Resulting Numbers: [4, 14]
Generated Node #0,1,3: 62:[4, 14] Operation: 72-58=14
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[72, 62], Operations: ['98-40=58', '4+58=62']
Exploring Operation: 72+62=134, Resulting Numbers: [134]
134,62 unequal: No Solution
Exploring Operation: 72-62=10, Resulting Numbers: [10]
10,62 unequal: No Solution
Exploring Operation: 72*62=4464, Resulting Numbers: [4464]
4464,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 62:[58, 68], Operations: ['98-40=58', '72-4=68']
Exploring Operation: 58*68=3944, Resulting Numbers: [3944]
3944,62 unequal: No Solution
Exploring Operation: 68-58=10, Resulting Numbers: [10]
10,62 unequal: No Solution
Exploring Operation: 58+68=126, Resulting Numbers: [126]
126,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 62:[4, 14], Operations: ['98-40=58', '72-58=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,62 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,62 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 62:[58, 18], Operations: ['98-40=58', '72/4=18']
Exploring Operation: 58*18=1044, Resulting Numbers: [1044]
1044,62 unequal: No Solution
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 62:[40, 4, 26], Operations: ['98-72=26']
Exploring Operation: 4+26=30, Resulting Numbers: [40, 30]
Generated Node #0,3,0: 62:[40, 30] Operation: 4+26=30
Exploring Operation: 40+26=66, Resulting Numbers: [4, 66]
Generated Node #0,3,1: 62:[4, 66] Operation: 40+26=66
Exploring Operation: 40-4=36, Resulting Numbers: [26, 36]
Generated Node #0,3,2: 62:[26, 36] Operation: 40-4=36
Exploring Operation: 40/4=10, Resulting Numbers: [26, 10]
Generated Node #0,3,3: 62:[26, 10] Operation: 40/4=10
Moving to Node #0,3,1
Current State: 62:[4, 66], Operations: ['98-72=26', '40+26=66']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[98, 40, 4, 72], Operations: []
Exploring Operation: 98-72=26, Resulting Numbers: [40, 4, 26]
Generated Node #0,3: 62:[40, 4, 26] Operation: 98-72=26
Moving to Node #0,3
Current State: 62:[40, 4, 26], Operations: ['98-72=26']
Exploring Operation: 40+26=66, Resulting Numbers: [4, 66]
Generated Node #0,3,1: 62:[4, 66] Operation: 40+26=66
Moving to Node #0,3,1
Current State: 62:[4, 66], Operations: ['98-72=26', '40+26=66']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | sum_heuristic |
[
65,
61,
63,
32
] | 95 | [
"65+61=126",
"63-32=31",
"126-31=95"
] | Current State: 95:[65, 61, 63, 32], Operations: []
Exploring Operation: 65+61=126, Resulting Numbers: [63, 32, 126]
Generated Node #2: [63, 32, 126] from Operation: 65+61=126
Current State: 95:[63, 32, 126], Operations: ['65+61=126']
Exploring Operation: 63-32=31, Resulting Numbers: [126, 31]
Generated Node #3: [126, 31] from Operation: 63-32=31
Current State: 95:[126, 31], Operations: ['65+61=126', '63-32=31']
Exploring Operation: 126-31=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[65, 61, 63, 32], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [65, 32, 2]
Generated Node #0,0: 95:[65, 32, 2] Operation: 63-61=2
Exploring Operation: 65-61=4, Resulting Numbers: [63, 32, 4]
Generated Node #0,1: 95:[63, 32, 4] Operation: 65-61=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[65, 32, 2], Operations: ['63-61=2']
Exploring Operation: 65+32=97, Resulting Numbers: [2, 97]
Generated Node #0,0,0: 95:[2, 97] Operation: 65+32=97
Exploring Operation: 65-32=33, Resulting Numbers: [2, 33]
Generated Node #0,0,1: 95:[2, 33] Operation: 65-32=33
Moving to Node #0,0,0
Current State: 95:[2, 97], Operations: ['63-61=2', '65+32=97']
Exploring Operation: 2+97=99, Resulting Numbers: [99]
99,95 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[65, 61, 63, 32], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [65, 32, 2]
Generated Node #0,0: 95:[65, 32, 2] Operation: 63-61=2
Moving to Node #0,0
Current State: 95:[65, 32, 2], Operations: ['63-61=2']
Exploring Operation: 65+32=97, Resulting Numbers: [2, 97]
Generated Node #0,0,0: 95:[2, 97] Operation: 65+32=97
Moving to Node #0,0,0
Current State: 95:[2, 97], Operations: ['63-61=2', '65+32=97']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
70,
62,
5,
3
] | 79 | [
"70/5=14",
"62+3=65",
"14+65=79"
] | Current State: 79:[70, 62, 5, 3], Operations: []
Exploring Operation: 70/5=14, Resulting Numbers: [62, 3, 14]
Generated Node #2: [62, 3, 14] from Operation: 70/5=14
Current State: 79:[62, 3, 14], Operations: ['70/5=14']
Exploring Operation: 62+3=65, Resulting Numbers: [14, 65]
Generated Node #3: [14, 65] from Operation: 62+3=65
Current State: 79:[14, 65], Operations: ['70/5=14', '62+3=65']
Exploring Operation: 14+65=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[70, 62, 5, 3], Operations: []
Exploring Operation: 5*3=15, Resulting Numbers: [70, 62, 15]
Generated Node #0,0: 79:[70, 62, 15] Operation: 5*3=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[70, 62, 15], Operations: ['5*3=15']
Exploring Operation: 62+15=77, Resulting Numbers: [70, 77]
Generated Node #0,0,0: 79:[70, 77] Operation: 62+15=77
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[70, 77], Operations: ['5*3=15', '62+15=77']
Exploring Operation: 70+77=147, Resulting Numbers: [147]
147,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
27,
18,
44,
63
] | 63 | [
"27+18=45",
"45-44=1",
"63*1=63"
] | Current State: 63:[27, 18, 44, 63], Operations: []
Exploring Operation: 27+18=45, Resulting Numbers: [44, 63, 45]
Generated Node #2: [44, 63, 45] from Operation: 27+18=45
Current State: 63:[44, 63, 45], Operations: ['27+18=45']
Exploring Operation: 45-44=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 45-44=1
Current State: 63:[63, 1], Operations: ['27+18=45', '45-44=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[27, 18, 44, 63], Operations: []
Exploring Operation: 27+44=71, Resulting Numbers: [18, 63, 71]
Generated Node #0,0: 63:[18, 63, 71] Operation: 27+44=71
Exploring Operation: 44-18=26, Resulting Numbers: [27, 63, 26]
Generated Node #0,1: 63:[27, 63, 26] Operation: 44-18=26
Exploring Operation: 44-27=17, Resulting Numbers: [18, 63, 17]
Generated Node #0,2: 63:[18, 63, 17] Operation: 44-27=17
Exploring Operation: 18+44=62, Resulting Numbers: [27, 63, 62]
Generated Node #0,3: 63:[27, 63, 62] Operation: 18+44=62
Moving to Node #0,2
Current State: 63:[18, 63, 17], Operations: ['44-27=17']
Exploring Operation: 18-17=1, Resulting Numbers: [63, 1]
Generated Node #0,2,0: 63:[63, 1] Operation: 18-17=1
Exploring Operation: 18+17=35, Resulting Numbers: [63, 35]
Generated Node #0,2,1: 63:[63, 35] Operation: 18+17=35
Exploring Operation: 63+17=80, Resulting Numbers: [18, 80]
Generated Node #0,2,2: 63:[18, 80] Operation: 63+17=80
Exploring Operation: 63-17=46, Resulting Numbers: [18, 46]
Generated Node #0,2,3: 63:[18, 46] Operation: 63-17=46
Moving to Node #0,3
Current State: 63:[27, 63, 62], Operations: ['18+44=62']
Exploring Operation: 63-27=36, Resulting Numbers: [62, 36]
Generated Node #0,3,0: 63:[62, 36] Operation: 63-27=36
Exploring Operation: 63-62=1, Resulting Numbers: [27, 1]
Generated Node #0,3,1: 63:[27, 1] Operation: 63-62=1
Exploring Operation: 62-27=35, Resulting Numbers: [63, 35]
Generated Node #0,3,2: 63:[63, 35] Operation: 62-27=35
Exploring Operation: 27+62=89, Resulting Numbers: [63, 89]
Generated Node #0,3,3: 63:[63, 89] Operation: 27+62=89
Moving to Node #0,1
Current State: 63:[27, 63, 26], Operations: ['44-18=26']
Exploring Operation: 27-26=1, Resulting Numbers: [63, 1]
Generated Node #0,1,0: 63:[63, 1] Operation: 27-26=1
Exploring Operation: 63-27=36, Resulting Numbers: [26, 36]
Generated Node #0,1,1: 63:[26, 36] Operation: 63-27=36
Exploring Operation: 63-26=37, Resulting Numbers: [27, 37]
Generated Node #0,1,2: 63:[27, 37] Operation: 63-26=37
Exploring Operation: 27+26=53, Resulting Numbers: [63, 53]
Generated Node #0,1,3: 63:[63, 53] Operation: 27+26=53
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[63, 1], Operations: ['44-18=26', '27-26=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[27, 18, 44, 63], Operations: []
Exploring Operation: 44-18=26, Resulting Numbers: [27, 63, 26]
Generated Node #0,1: 63:[27, 63, 26] Operation: 44-18=26
Moving to Node #0,1
Current State: 63:[27, 63, 26], Operations: ['44-18=26']
Exploring Operation: 27-26=1, Resulting Numbers: [63, 1]
Generated Node #0,1,0: 63:[63, 1] Operation: 27-26=1
Moving to Node #0,1,0
Current State: 63:[63, 1], Operations: ['44-18=26', '27-26=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
67,
74,
70,
59
] | 32 | [
"67-59=8",
"74-70=4",
"8*4=32"
] | Current State: 32:[67, 74, 70, 59], Operations: []
Exploring Operation: 67-59=8, Resulting Numbers: [74, 70, 8]
Generated Node #2: [74, 70, 8] from Operation: 67-59=8
Current State: 32:[74, 70, 8], Operations: ['67-59=8']
Exploring Operation: 74-70=4, Resulting Numbers: [8, 4]
Generated Node #3: [8, 4] from Operation: 74-70=4
Current State: 32:[8, 4], Operations: ['67-59=8', '74-70=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[67, 74, 70, 59], Operations: []
Exploring Operation: 74-67=7, Resulting Numbers: [70, 59, 7]
Generated Node #0,0: 32:[70, 59, 7] Operation: 74-67=7
Exploring Operation: 74-70=4, Resulting Numbers: [67, 59, 4]
Generated Node #0,1: 32:[67, 59, 4] Operation: 74-70=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[67, 59, 4], Operations: ['74-70=4']
Exploring Operation: 67-4=63, Resulting Numbers: [59, 63]
Generated Node #0,1,0: 32:[59, 63] Operation: 67-4=63
Exploring Operation: 67-59=8, Resulting Numbers: [4, 8]
Generated Node #0,1,1: 32:[4, 8] Operation: 67-59=8
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 32:[4, 8], Operations: ['74-70=4', '67-59=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[67, 74, 70, 59], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [67, 59, 4]
Generated Node #0,1: 32:[67, 59, 4] Operation: 74-70=4
Moving to Node #0,1
Current State: 32:[67, 59, 4], Operations: ['74-70=4']
Exploring Operation: 67-59=8, Resulting Numbers: [4, 8]
Generated Node #0,1,1: 32:[4, 8] Operation: 67-59=8
Moving to Node #0,1,1
Current State: 32:[4, 8], Operations: ['74-70=4', '67-59=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
21,
75,
92,
3
] | 12 | [
"21+75=96",
"96-92=4",
"3*4=12"
] | Current State: 12:[21, 75, 92, 3], Operations: []
Exploring Operation: 21+75=96, Resulting Numbers: [92, 3, 96]
Generated Node #2: [92, 3, 96] from Operation: 21+75=96
Current State: 12:[92, 3, 96], Operations: ['21+75=96']
Exploring Operation: 96-92=4, Resulting Numbers: [3, 4]
Generated Node #3: [3, 4] from Operation: 96-92=4
Current State: 12:[3, 4], Operations: ['21+75=96', '96-92=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[21, 75, 92, 3], Operations: []
Exploring Operation: 75/3=25, Resulting Numbers: [21, 92, 25]
Generated Node #0,0: 12:[21, 92, 25] Operation: 75/3=25
Exploring Operation: 92-75=17, Resulting Numbers: [21, 3, 17]
Generated Node #0,1: 12:[21, 3, 17] Operation: 92-75=17
Moving to Node #0,1
Current State: 12:[21, 3, 17], Operations: ['92-75=17']
Exploring Operation: 21/3=7, Resulting Numbers: [17, 7]
Generated Node #0,1,0: 12:[17, 7] Operation: 21/3=7
Exploring Operation: 21-17=4, Resulting Numbers: [3, 4]
Generated Node #0,1,1: 12:[3, 4] Operation: 21-17=4
Moving to Node #0,0
Current State: 12:[21, 92, 25], Operations: ['75/3=25']
Exploring Operation: 92-21=71, Resulting Numbers: [25, 71]
Generated Node #0,0,0: 12:[25, 71] Operation: 92-21=71
Exploring Operation: 92-25=67, Resulting Numbers: [21, 67]
Generated Node #0,0,1: 12:[21, 67] Operation: 92-25=67
Moving to Node #0,1,1
Current State: 12:[3, 4], Operations: ['92-75=17', '21-17=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[21, 75, 92, 3], Operations: []
Exploring Operation: 92-75=17, Resulting Numbers: [21, 3, 17]
Generated Node #0,1: 12:[21, 3, 17] Operation: 92-75=17
Moving to Node #0,1
Current State: 12:[21, 3, 17], Operations: ['92-75=17']
Exploring Operation: 21-17=4, Resulting Numbers: [3, 4]
Generated Node #0,1,1: 12:[3, 4] Operation: 21-17=4
Moving to Node #0,1,1
Current State: 12:[3, 4], Operations: ['92-75=17', '21-17=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
54,
62,
77,
98
] | 59 | [
"54+62=116",
"77+98=175",
"175-116=59"
] | Current State: 59:[54, 62, 77, 98], Operations: []
Exploring Operation: 54+62=116, Resulting Numbers: [77, 98, 116]
Generated Node #2: [77, 98, 116] from Operation: 54+62=116
Current State: 59:[77, 98, 116], Operations: ['54+62=116']
Exploring Operation: 77+98=175, Resulting Numbers: [116, 175]
Generated Node #3: [116, 175] from Operation: 77+98=175
Current State: 59:[116, 175], Operations: ['54+62=116', '77+98=175']
Exploring Operation: 175-116=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[54, 62, 77, 98], Operations: []
Exploring Operation: 98-54=44, Resulting Numbers: [62, 77, 44]
Generated Node #0,0: 59:[62, 77, 44] Operation: 98-54=44
Exploring Operation: 98-77=21, Resulting Numbers: [54, 62, 21]
Generated Node #0,1: 59:[54, 62, 21] Operation: 98-77=21
Exploring Operation: 98-62=36, Resulting Numbers: [54, 77, 36]
Generated Node #0,2: 59:[54, 77, 36] Operation: 98-62=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[62, 77, 44], Operations: ['98-54=44']
Exploring Operation: 77-62=15, Resulting Numbers: [44, 15]
Generated Node #0,0,0: 59:[44, 15] Operation: 77-62=15
Exploring Operation: 77-44=33, Resulting Numbers: [62, 33]
Generated Node #0,0,1: 59:[62, 33] Operation: 77-44=33
Exploring Operation: 62-44=18, Resulting Numbers: [77, 18]
Generated Node #0,0,2: 59:[77, 18] Operation: 62-44=18
Moving to Node #0,0,1
Current State: 59:[62, 33], Operations: ['98-54=44', '77-44=33']
Exploring Operation: 62+33=95, Resulting Numbers: [95]
95,59 unequal: No Solution
Exploring Operation: 62-33=29, Resulting Numbers: [29]
29,59 unequal: No Solution
Exploring Operation: 62*33=2046, Resulting Numbers: [2046]
2046,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[44, 15], Operations: ['98-54=44', '77-62=15']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,59 unequal: No Solution
Exploring Operation: 44*15=660, Resulting Numbers: [660]
660,59 unequal: No Solution
Exploring Operation: 44+15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[54, 62, 77, 98], Operations: []
Exploring Operation: 98-54=44, Resulting Numbers: [62, 77, 44]
Generated Node #0,0: 59:[62, 77, 44] Operation: 98-54=44
Moving to Node #0,0
Current State: 59:[62, 77, 44], Operations: ['98-54=44']
Exploring Operation: 77-62=15, Resulting Numbers: [44, 15]
Generated Node #0,0,0: 59:[44, 15] Operation: 77-62=15
Moving to Node #0,0,0
Current State: 59:[44, 15], Operations: ['98-54=44', '77-62=15']
Exploring Operation: 44+15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
84,
70,
79,
41
] | 100 | [
"79+41=120",
"70*120=8400",
"8400/84=100"
] | Current State: 100:[84, 70, 79, 41], Operations: []
Exploring Operation: 79+41=120, Resulting Numbers: [84, 70, 120]
Generated Node #2: [84, 70, 120] from Operation: 79+41=120
Current State: 100:[84, 70, 120], Operations: ['79+41=120']
Exploring Operation: 70*120=8400, Resulting Numbers: [84, 8400]
Generated Node #3: [84, 8400] from Operation: 70*120=8400
Current State: 100:[84, 8400], Operations: ['79+41=120', '70*120=8400']
Exploring Operation: 8400/84=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[84, 70, 79, 41], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [70, 41, 5]
Generated Node #0,0: 100:[70, 41, 5] Operation: 84-79=5
Exploring Operation: 84-70=14, Resulting Numbers: [79, 41, 14]
Generated Node #0,1: 100:[79, 41, 14] Operation: 84-70=14
Exploring Operation: 79-70=9, Resulting Numbers: [84, 41, 9]
Generated Node #0,2: 100:[84, 41, 9] Operation: 79-70=9
Moving to Node #0,2
Current State: 100:[84, 41, 9], Operations: ['79-70=9']
Exploring Operation: 41+9=50, Resulting Numbers: [84, 50]
Generated Node #0,2,0: 100:[84, 50] Operation: 41+9=50
Exploring Operation: 84-41=43, Resulting Numbers: [9, 43]
Generated Node #0,2,1: 100:[9, 43] Operation: 84-41=43
Exploring Operation: 84+9=93, Resulting Numbers: [41, 93]
Generated Node #0,2,2: 100:[41, 93] Operation: 84+9=93
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 100:[9, 43], Operations: ['79-70=9', '84-41=43']
Exploring Operation: 9+43=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,100 unequal: No Solution
Exploring Operation: 9*43=387, Resulting Numbers: [387]
387,100 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 #0,2,0
Current State: 100:[84, 50], Operations: ['79-70=9', '41+9=50']
Exploring Operation: 84*50=4200, Resulting Numbers: [4200]
4200,100 unequal: No Solution
Exploring Operation: 84+50=134, Resulting Numbers: [134]
134,100 unequal: No Solution
Exploring Operation: 84-50=34, Resulting Numbers: [34]
34,100 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 #0,2,2
Current State: 100:[41, 93], Operations: ['79-70=9', '84+9=93']
Exploring Operation: 41+93=134, Resulting Numbers: [134]
134,100 unequal: No Solution
Exploring Operation: 41*93=3813, Resulting Numbers: [3813]
3813,100 unequal: No Solution
Exploring Operation: 93-41=52, Resulting Numbers: [52]
52,100 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: 100:[70, 41, 5], Operations: ['84-79=5']
Exploring Operation: 70+41=111, Resulting Numbers: [5, 111]
Generated Node #0,0,0: 100:[5, 111] Operation: 70+41=111
Exploring Operation: 70-41=29, Resulting Numbers: [5, 29]
Generated Node #0,0,1: 100:[5, 29] Operation: 70-41=29
Exploring Operation: 70/5=14, Resulting Numbers: [41, 14]
Generated Node #0,0,2: 100:[41, 14] Operation: 70/5=14
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 100:[5, 29], Operations: ['84-79=5', '70-41=29']
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,100 unequal: No Solution
Exploring Operation: 5*29=145, Resulting Numbers: [145]
145,100 unequal: No Solution
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[5, 111], Operations: ['84-79=5', '70+41=111']
Exploring Operation: 5+111=116, Resulting Numbers: [116]
116,100 unequal: No Solution
Exploring Operation: 111-5=106, Resulting Numbers: [106]
106,100 unequal: No Solution
Exploring Operation: 5*111=555, Resulting Numbers: [555]
555,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 100:[41, 14], Operations: ['84-79=5', '70/5=14']
Exploring Operation: 41+14=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 41*14=574, Resulting Numbers: [574]
574,100 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 100:[79, 41, 14], Operations: ['84-70=14']
Exploring Operation: 41-14=27, Resulting Numbers: [79, 27]
Generated Node #0,1,0: 100:[79, 27] Operation: 41-14=27
Exploring Operation: 79-41=38, Resulting Numbers: [14, 38]
Generated Node #0,1,1: 100:[14, 38] Operation: 79-41=38
Exploring Operation: 79+14=93, Resulting Numbers: [41, 93]
Generated Node #0,1,2: 100:[41, 93] Operation: 79+14=93
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[14, 38], Operations: ['84-70=14', '79-41=38']
Exploring Operation: 14*38=532, Resulting Numbers: [532]
532,100 unequal: No Solution
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 100:[41, 93], Operations: ['84-70=14', '79+14=93']
Exploring Operation: 41+93=134, Resulting Numbers: [134]
134,100 unequal: No Solution
Exploring Operation: 41*93=3813, Resulting Numbers: [3813]
3813,100 unequal: No Solution
Exploring Operation: 93-41=52, Resulting Numbers: [52]
52,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[79, 27], Operations: ['84-70=14', '41-14=27']
Exploring Operation: 79-27=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 79*27=2133, Resulting Numbers: [2133]
2133,100 unequal: No Solution
Exploring Operation: 79+27=106, Resulting Numbers: [106]
106,100 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 |
[
41,
42,
60,
26
] | 38 | [
"41-26=15",
"60/15=4",
"42-4=38"
] | Current State: 38:[41, 42, 60, 26], Operations: []
Exploring Operation: 41-26=15, Resulting Numbers: [42, 60, 15]
Generated Node #2: [42, 60, 15] from Operation: 41-26=15
Current State: 38:[42, 60, 15], Operations: ['41-26=15']
Exploring Operation: 60/15=4, Resulting Numbers: [42, 4]
Generated Node #3: [42, 4] from Operation: 60/15=4
Current State: 38:[42, 4], Operations: ['41-26=15', '60/15=4']
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[41, 42, 60, 26], Operations: []
Exploring Operation: 60-42=18, Resulting Numbers: [41, 26, 18]
Generated Node #0,0: 38:[41, 26, 18] Operation: 60-42=18
Exploring Operation: 60-41=19, Resulting Numbers: [42, 26, 19]
Generated Node #0,1: 38:[42, 26, 19] Operation: 60-41=19
Exploring Operation: 60-26=34, Resulting Numbers: [41, 42, 34]
Generated Node #0,2: 38:[41, 42, 34] Operation: 60-26=34
Exploring Operation: 42-26=16, Resulting Numbers: [41, 60, 16]
Generated Node #0,3: 38:[41, 60, 16] Operation: 42-26=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[41, 26, 18], Operations: ['60-42=18']
Exploring Operation: 41-26=15, Resulting Numbers: [18, 15]
Generated Node #0,0,0: 38:[18, 15] Operation: 41-26=15
Exploring Operation: 41-18=23, Resulting Numbers: [26, 23]
Generated Node #0,0,1: 38:[26, 23] Operation: 41-18=23
Exploring Operation: 26+18=44, Resulting Numbers: [41, 44]
Generated Node #0,0,2: 38:[41, 44] Operation: 26+18=44
Exploring Operation: 26-18=8, Resulting Numbers: [41, 8]
Generated Node #0,0,3: 38:[41, 8] Operation: 26-18=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[18, 15], Operations: ['60-42=18', '41-26=15']
Exploring Operation: 18+15=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 18*15=270, Resulting Numbers: [270]
270,38 unequal: No Solution
No 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: 38:[41, 44], Operations: ['60-42=18', '26+18=44']
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,38 unequal: No Solution
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,38 unequal: No Solution
No 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: 38:[41, 8], Operations: ['60-42=18', '26-18=8']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,38 unequal: No Solution
Exploring Operation: 41*8=328, Resulting Numbers: [328]
328,38 unequal: No Solution
No 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: 38:[26, 23], Operations: ['60-42=18', '41-18=23']
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,38 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[42, 26, 19], Operations: ['60-41=19']
Exploring Operation: 26+19=45, Resulting Numbers: [42, 45]
Generated Node #0,1,0: 38:[42, 45] Operation: 26+19=45
Exploring Operation: 26-19=7, Resulting Numbers: [42, 7]
Generated Node #0,1,1: 38:[42, 7] Operation: 26-19=7
Exploring Operation: 42-26=16, Resulting Numbers: [19, 16]
Generated Node #0,1,2: 38:[19, 16] Operation: 42-26=16
Exploring Operation: 42-19=23, Resulting Numbers: [26, 23]
Generated Node #0,1,3: 38:[26, 23] Operation: 42-19=23
Moving to Node #0,1,2
Current State: 38:[19, 16], Operations: ['60-41=19', '42-26=16']
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,38 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[42, 7], Operations: ['60-41=19', '26-19=7']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,38 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,38 unequal: No Solution
Exploring Operation: 42*7=294, Resulting Numbers: [294]
294,38 unequal: No Solution
Moving to Node #0,1,3
Current State: 38:[26, 23], Operations: ['60-41=19', '42-19=23']
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,38 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[42, 45], Operations: ['60-41=19', '26+19=45']
Exploring Operation: 42*45=1890, Resulting Numbers: [1890]
1890,38 unequal: No Solution
Exploring Operation: 42+45=87, Resulting Numbers: [87]
87,38 unequal: No Solution
Exploring Operation: 45-42=3, Resulting Numbers: [3]
3,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[41, 42, 34], Operations: ['60-26=34']
Exploring Operation: 41+34=75, Resulting Numbers: [42, 75]
Generated Node #0,2,0: 38:[42, 75] Operation: 41+34=75
Exploring Operation: 42-41=1, Resulting Numbers: [34, 1]
Generated Node #0,2,1: 38:[34, 1] Operation: 42-41=1
Exploring Operation: 42-34=8, Resulting Numbers: [41, 8]
Generated Node #0,2,2: 38:[41, 8] Operation: 42-34=8
Exploring Operation: 41-34=7, Resulting Numbers: [42, 7]
Generated Node #0,2,3: 38:[42, 7] Operation: 41-34=7
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 38:[34, 1], Operations: ['60-26=34', '42-41=1']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,38 unequal: No Solution
No 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: 38:[41, 8], Operations: ['60-26=34', '42-34=8']
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,38 unequal: No Solution
Exploring Operation: 41*8=328, Resulting Numbers: [328]
328,38 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,38 unequal: No Solution
No 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: 38:[42, 7], Operations: ['60-26=34', '41-34=7']
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,38 unequal: No Solution
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,38 unequal: No Solution
Exploring Operation: 42*7=294, Resulting Numbers: [294]
294,38 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,38 unequal: No Solution
No 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: 38:[42, 75], Operations: ['60-26=34', '41+34=75']
Exploring Operation: 75-42=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 42*75=3150, Resulting Numbers: [3150]
3150,38 unequal: No Solution
Exploring Operation: 42+75=117, Resulting Numbers: [117]
117,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[41, 60, 16], Operations: ['42-26=16']
Exploring Operation: 41-16=25, Resulting Numbers: [60, 25]
Generated Node #0,3,0: 38:[60, 25] Operation: 41-16=25
Exploring Operation: 60-16=44, Resulting Numbers: [41, 44]
Generated Node #0,3,1: 38:[41, 44] Operation: 60-16=44
Exploring Operation: 60-41=19, Resulting Numbers: [16, 19]
Generated Node #0,3,2: 38:[16, 19] Operation: 60-41=19
Exploring Operation: 41+16=57, Resulting Numbers: [60, 57]
Generated Node #0,3,3: 38:[60, 57] Operation: 41+16=57
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 38:[16, 19], Operations: ['42-26=16', '60-41=19']
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,38 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,38 unequal: No Solution
No 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: 38:[41, 44], Operations: ['42-26=16', '60-16=44']
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,38 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,38 unequal: No Solution
No 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: 38:[60, 25], Operations: ['42-26=16', '41-16=25']
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 60*25=1500, Resulting Numbers: [1500]
1500,38 unequal: No Solution
Exploring Operation: 60+25=85, Resulting Numbers: [85]
85,38 unequal: No Solution
No 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: 38:[60, 57], Operations: ['42-26=16', '41+16=57']
Exploring Operation: 60*57=3420, Resulting Numbers: [3420]
3420,38 unequal: No Solution
Exploring Operation: 60+57=117, Resulting Numbers: [117]
117,38 unequal: No Solution
Exploring Operation: 60-57=3, Resulting Numbers: [3]
3,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
38,
65,
31,
4
] | 77 | [
"65-38=27",
"4*27=108",
"108-31=77"
] | Current State: 77:[38, 65, 31, 4], Operations: []
Exploring Operation: 65-38=27, Resulting Numbers: [31, 4, 27]
Generated Node #2: [31, 4, 27] from Operation: 65-38=27
Current State: 77:[31, 4, 27], Operations: ['65-38=27']
Exploring Operation: 4*27=108, Resulting Numbers: [31, 108]
Generated Node #3: [31, 108] from Operation: 4*27=108
Current State: 77:[31, 108], Operations: ['65-38=27', '4*27=108']
Exploring Operation: 108-31=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[38, 65, 31, 4], Operations: []
Exploring Operation: 38-31=7, Resulting Numbers: [65, 4, 7]
Generated Node #0,0: 77:[65, 4, 7] Operation: 38-31=7
Moving to Node #0,0
Current State: 77:[65, 4, 7], Operations: ['38-31=7']
Exploring Operation: 65+4=69, Resulting Numbers: [7, 69]
Generated Node #0,0,0: 77:[7, 69] Operation: 65+4=69
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[7, 69], Operations: ['38-31=7', '65+4=69']
Exploring Operation: 7+69=76, Resulting Numbers: [76]
76,77 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 |
[
24,
9,
94,
7
] | 71 | [
"9-7=2",
"94/2=47",
"24+47=71"
] | Current State: 71:[24, 9, 94, 7], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [24, 94, 2]
Generated Node #2: [24, 94, 2] from Operation: 9-7=2
Current State: 71:[24, 94, 2], Operations: ['9-7=2']
Exploring Operation: 94/2=47, Resulting Numbers: [24, 47]
Generated Node #3: [24, 47] from Operation: 94/2=47
Current State: 71:[24, 47], Operations: ['9-7=2', '94/2=47']
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[24, 9, 94, 7], Operations: []
Exploring Operation: 24+7=31, Resulting Numbers: [9, 94, 31]
Generated Node #0,0: 71:[9, 94, 31] Operation: 24+7=31
Exploring Operation: 24+9=33, Resulting Numbers: [94, 7, 33]
Generated Node #0,1: 71:[94, 7, 33] Operation: 24+9=33
Exploring Operation: 9*7=63, Resulting Numbers: [24, 94, 63]
Generated Node #0,2: 71:[24, 94, 63] Operation: 9*7=63
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[24, 94, 63], Operations: ['9*7=63']
Exploring Operation: 24+63=87, Resulting Numbers: [94, 87]
Generated Node #0,2,0: 71:[94, 87] Operation: 24+63=87
Exploring Operation: 94-24=70, Resulting Numbers: [63, 70]
Generated Node #0,2,1: 71:[63, 70] Operation: 94-24=70
Exploring Operation: 24+94=118, Resulting Numbers: [63, 118]
Generated Node #0,2,2: 71:[63, 118] Operation: 24+94=118
Moving to Node #0,2,1
Current State: 71:[63, 70], Operations: ['9*7=63', '94-24=70']
Exploring Operation: 63*70=4410, Resulting Numbers: [4410]
4410,71 unequal: No Solution
Exploring Operation: 63+70=133, Resulting Numbers: [133]
133,71 unequal: No Solution
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[94, 87], Operations: ['9*7=63', '24+63=87']
Exploring Operation: 94-87=7, Resulting Numbers: [7]
7,71 unequal: No Solution
Exploring Operation: 94*87=8178, Resulting Numbers: [8178]
8178,71 unequal: No Solution
Exploring Operation: 94+87=181, Resulting Numbers: [181]
181,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[63, 118], Operations: ['9*7=63', '24+94=118']
Exploring Operation: 118-63=55, Resulting Numbers: [55]
55,71 unequal: No Solution
Exploring Operation: 63+118=181, Resulting Numbers: [181]
181,71 unequal: No Solution
Exploring Operation: 63*118=7434, Resulting Numbers: [7434]
7434,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[9, 94, 31], Operations: ['24+7=31']
Exploring Operation: 94-9=85, Resulting Numbers: [31, 85]
Generated Node #0,0,0: 71:[31, 85] Operation: 94-9=85
Exploring Operation: 9+31=40, Resulting Numbers: [94, 40]
Generated Node #0,0,1: 71:[94, 40] Operation: 9+31=40
Exploring Operation: 94-31=63, Resulting Numbers: [9, 63]
Generated Node #0,0,2: 71:[9, 63] Operation: 94-31=63
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[31, 85], Operations: ['24+7=31', '94-9=85']
Exploring Operation: 31*85=2635, Resulting Numbers: [2635]
2635,71 unequal: No Solution
Exploring Operation: 85-31=54, Resulting Numbers: [54]
54,71 unequal: No Solution
Exploring Operation: 31+85=116, Resulting Numbers: [116]
116,71 unequal: No Solution
No 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: 71:[94, 40], Operations: ['24+7=31', '9+31=40']
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,71 unequal: No Solution
Exploring Operation: 94+40=134, Resulting Numbers: [134]
134,71 unequal: No Solution
Exploring Operation: 94*40=3760, Resulting Numbers: [3760]
3760,71 unequal: No Solution
No 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: 71:[9, 63], Operations: ['24+7=31', '94-31=63']
Exploring Operation: 9+63=72, Resulting Numbers: [72]
72,71 unequal: No Solution
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,71 unequal: No Solution
Exploring Operation: 63/9=7, Resulting Numbers: [7]
7,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[94, 7, 33], Operations: ['24+9=33']
Exploring Operation: 94-7=87, Resulting Numbers: [33, 87]
Generated Node #0,1,0: 71:[33, 87] Operation: 94-7=87
Exploring Operation: 94+7=101, Resulting Numbers: [33, 101]
Generated Node #0,1,1: 71:[33, 101] Operation: 94+7=101
Exploring Operation: 7+33=40, Resulting Numbers: [94, 40]
Generated Node #0,1,2: 71:[94, 40] Operation: 7+33=40
Moving to Node #0,1,0
Current State: 71:[33, 87], Operations: ['24+9=33', '94-7=87']
Exploring Operation: 33*87=2871, Resulting Numbers: [2871]
2871,71 unequal: No Solution
Exploring Operation: 33+87=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[94, 40], Operations: ['24+9=33', '7+33=40']
Exploring Operation: 94*40=3760, Resulting Numbers: [3760]
3760,71 unequal: No Solution
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,71 unequal: No Solution
Exploring Operation: 94+40=134, Resulting Numbers: [134]
134,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[33, 101], Operations: ['24+9=33', '94+7=101']
Exploring Operation: 33*101=3333, Resulting Numbers: [3333]
3333,71 unequal: No Solution
Exploring Operation: 33+101=134, Resulting Numbers: [134]
134,71 unequal: No Solution
Exploring Operation: 101-33=68, Resulting Numbers: [68]
68,71 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 |
[
55,
20,
47,
79
] | 88 | [
"79-47=32",
"55*32=1760",
"1760/20=88"
] | Current State: 88:[55, 20, 47, 79], Operations: []
Exploring Operation: 79-47=32, Resulting Numbers: [55, 20, 32]
Generated Node #2: [55, 20, 32] from Operation: 79-47=32
Current State: 88:[55, 20, 32], Operations: ['79-47=32']
Exploring Operation: 55*32=1760, Resulting Numbers: [20, 1760]
Generated Node #3: [20, 1760] from Operation: 55*32=1760
Current State: 88:[20, 1760], Operations: ['79-47=32', '55*32=1760']
Exploring Operation: 1760/20=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[55, 20, 47, 79], Operations: []
Exploring Operation: 79-55=24, Resulting Numbers: [20, 47, 24]
Generated Node #0,0: 88:[20, 47, 24] Operation: 79-55=24
Moving to Node #0,0
Current State: 88:[20, 47, 24], Operations: ['79-55=24']
Exploring Operation: 20+24=44, Resulting Numbers: [47, 44]
Generated Node #0,0,0: 88:[47, 44] Operation: 20+24=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[47, 44], Operations: ['79-55=24', '20+24=44']
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
44,
30,
35,
20
] | 90 | [
"44-35=9",
"30-20=10",
"9*10=90"
] | Current State: 90:[44, 30, 35, 20], Operations: []
Exploring Operation: 44-35=9, Resulting Numbers: [30, 20, 9]
Generated Node #2: [30, 20, 9] from Operation: 44-35=9
Current State: 90:[30, 20, 9], Operations: ['44-35=9']
Exploring Operation: 30-20=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 30-20=10
Current State: 90:[9, 10], Operations: ['44-35=9', '30-20=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[44, 30, 35, 20], Operations: []
Exploring Operation: 44-35=9, Resulting Numbers: [30, 20, 9]
Generated Node #0,0: 90:[30, 20, 9] Operation: 44-35=9
Exploring Operation: 35-20=15, Resulting Numbers: [44, 30, 15]
Generated Node #0,1: 90:[44, 30, 15] Operation: 35-20=15
Exploring Operation: 35-30=5, Resulting Numbers: [44, 20, 5]
Generated Node #0,2: 90:[44, 20, 5] Operation: 35-30=5
Moving to Node #0,1
Current State: 90:[44, 30, 15], Operations: ['35-20=15']
Exploring Operation: 30+15=45, Resulting Numbers: [44, 45]
Generated Node #0,1,0: 90:[44, 45] Operation: 30+15=45
Exploring Operation: 44-15=29, Resulting Numbers: [30, 29]
Generated Node #0,1,1: 90:[30, 29] Operation: 44-15=29
Exploring Operation: 44-30=14, Resulting Numbers: [15, 14]
Generated Node #0,1,2: 90:[15, 14] Operation: 44-30=14
Moving to Node #0,0
Current State: 90:[30, 20, 9], Operations: ['44-35=9']
Exploring Operation: 20+9=29, Resulting Numbers: [30, 29]
Generated Node #0,0,0: 90:[30, 29] Operation: 20+9=29
Exploring Operation: 30-20=10, Resulting Numbers: [9, 10]
Generated Node #0,0,1: 90:[9, 10] Operation: 30-20=10
Exploring Operation: 20-9=11, Resulting Numbers: [30, 11]
Generated Node #0,0,2: 90:[30, 11] Operation: 20-9=11
Moving to Node #0,2
Current State: 90:[44, 20, 5], Operations: ['35-30=5']
Exploring Operation: 20-5=15, Resulting Numbers: [44, 15]
Generated Node #0,2,0: 90:[44, 15] Operation: 20-5=15
Exploring Operation: 44-20=24, Resulting Numbers: [5, 24]
Generated Node #0,2,1: 90:[5, 24] Operation: 44-20=24
Exploring Operation: 20/5=4, Resulting Numbers: [44, 4]
Generated Node #0,2,2: 90:[44, 4] Operation: 20/5=4
Moving to Node #0,0,1
Current State: 90:[9, 10], Operations: ['44-35=9', '30-20=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[44, 30, 35, 20], Operations: []
Exploring Operation: 44-35=9, Resulting Numbers: [30, 20, 9]
Generated Node #0,0: 90:[30, 20, 9] Operation: 44-35=9
Moving to Node #0,0
Current State: 90:[30, 20, 9], Operations: ['44-35=9']
Exploring Operation: 30-20=10, Resulting Numbers: [9, 10]
Generated Node #0,0,1: 90:[9, 10] Operation: 30-20=10
Moving to Node #0,0,1
Current State: 90:[9, 10], Operations: ['44-35=9', '30-20=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 0.985243 | hs_3 | sum_heuristic |
[
78,
44,
35,
63
] | 42 | [
"78*35=2730",
"44*63=2772",
"2772-2730=42"
] | Current State: 42:[78, 44, 35, 63], Operations: []
Exploring Operation: 78*35=2730, Resulting Numbers: [44, 63, 2730]
Generated Node #2: [44, 63, 2730] from Operation: 78*35=2730
Current State: 42:[44, 63, 2730], Operations: ['78*35=2730']
Exploring Operation: 44*63=2772, Resulting Numbers: [2730, 2772]
Generated Node #3: [2730, 2772] from Operation: 44*63=2772
Current State: 42:[2730, 2772], Operations: ['78*35=2730', '44*63=2772']
Exploring Operation: 2772-2730=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[78, 44, 35, 63], Operations: []
Exploring Operation: 78-44=34, Resulting Numbers: [35, 63, 34]
Generated Node #0,0: 42:[35, 63, 34] Operation: 78-44=34
Exploring Operation: 78-35=43, Resulting Numbers: [44, 63, 43]
Generated Node #0,1: 42:[44, 63, 43] Operation: 78-35=43
Exploring Operation: 78-63=15, Resulting Numbers: [44, 35, 15]
Generated Node #0,2: 42:[44, 35, 15] Operation: 78-63=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[44, 35, 15], Operations: ['78-63=15']
Exploring Operation: 35+15=50, Resulting Numbers: [44, 50]
Generated Node #0,2,0: 42:[44, 50] Operation: 35+15=50
Exploring Operation: 44-35=9, Resulting Numbers: [15, 9]
Generated Node #0,2,1: 42:[15, 9] Operation: 44-35=9
Exploring Operation: 35-15=20, Resulting Numbers: [44, 20]
Generated Node #0,2,2: 42:[44, 20] Operation: 35-15=20
Moving to Node #0,2,1
Current State: 42:[15, 9], Operations: ['78-63=15', '44-35=9']
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,42 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[44, 20], Operations: ['78-63=15', '35-15=20']
Exploring Operation: 44*20=880, Resulting Numbers: [880]
880,42 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,42 unequal: No Solution
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[44, 50], Operations: ['78-63=15', '35+15=50']
Exploring Operation: 44*50=2200, Resulting Numbers: [2200]
2200,42 unequal: No Solution
Exploring Operation: 50-44=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 44+50=94, Resulting Numbers: [94]
94,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[44, 63, 43], Operations: ['78-35=43']
Exploring Operation: 63-43=20, Resulting Numbers: [44, 20]
Generated Node #0,1,0: 42:[44, 20] Operation: 63-43=20
Exploring Operation: 44-43=1, Resulting Numbers: [63, 1]
Generated Node #0,1,1: 42:[63, 1] Operation: 44-43=1
Exploring Operation: 63-44=19, Resulting Numbers: [43, 19]
Generated Node #0,1,2: 42:[43, 19] Operation: 63-44=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 42:[44, 20], Operations: ['78-35=43', '63-43=20']
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,42 unequal: No Solution
Exploring Operation: 44*20=880, Resulting Numbers: [880]
880,42 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 42:[43, 19], Operations: ['78-35=43', '63-44=19']
Exploring Operation: 43*19=817, Resulting Numbers: [817]
817,42 unequal: No Solution
Exploring Operation: 43+19=62, Resulting Numbers: [62]
62,42 unequal: No Solution
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 42:[63, 1], Operations: ['78-35=43', '44-43=1']
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,42 unequal: No Solution
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,42 unequal: No Solution
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[35, 63, 34], Operations: ['78-44=34']
Exploring Operation: 63-34=29, Resulting Numbers: [35, 29]
Generated Node #0,0,0: 42:[35, 29] Operation: 63-34=29
Exploring Operation: 63-35=28, Resulting Numbers: [34, 28]
Generated Node #0,0,1: 42:[34, 28] Operation: 63-35=28
Exploring Operation: 35-34=1, Resulting Numbers: [63, 1]
Generated Node #0,0,2: 42:[63, 1] Operation: 35-34=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 42:[35, 29], Operations: ['78-44=34', '63-34=29']
Exploring Operation: 35-29=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 35*29=1015, Resulting Numbers: [1015]
1015,42 unequal: No Solution
Exploring Operation: 35+29=64, Resulting Numbers: [64]
64,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 42:[34, 28], Operations: ['78-44=34', '63-35=28']
Exploring Operation: 34*28=952, Resulting Numbers: [952]
952,42 unequal: No Solution
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,42 unequal: No Solution
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 42:[63, 1], Operations: ['78-44=34', '35-34=1']
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,42 unequal: No Solution
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,42 unequal: No Solution
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
5,
67,
88,
47
] | 40 | [
"88+47=135",
"135/5=27",
"67-27=40"
] | Current State: 40:[5, 67, 88, 47], Operations: []
Exploring Operation: 88+47=135, Resulting Numbers: [5, 67, 135]
Generated Node #2: [5, 67, 135] from Operation: 88+47=135
Current State: 40:[5, 67, 135], Operations: ['88+47=135']
Exploring Operation: 135/5=27, Resulting Numbers: [67, 27]
Generated Node #3: [67, 27] from Operation: 135/5=27
Current State: 40:[67, 27], Operations: ['88+47=135', '135/5=27']
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[5, 67, 88, 47], Operations: []
Exploring Operation: 88-47=41, Resulting Numbers: [5, 67, 41]
Generated Node #0,0: 40:[5, 67, 41] Operation: 88-47=41
Exploring Operation: 67-5=62, Resulting Numbers: [88, 47, 62]
Generated Node #0,1: 40:[88, 47, 62] Operation: 67-5=62
Exploring Operation: 67-47=20, Resulting Numbers: [5, 88, 20]
Generated Node #0,2: 40:[5, 88, 20] Operation: 67-47=20
Exploring Operation: 88-67=21, Resulting Numbers: [5, 47, 21]
Generated Node #0,3: 40:[5, 47, 21] Operation: 88-67=21
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[5, 47, 21], Operations: ['88-67=21']
Exploring Operation: 5+47=52, Resulting Numbers: [21, 52]
Generated Node #0,3,0: 40:[21, 52] Operation: 5+47=52
Exploring Operation: 21-5=16, Resulting Numbers: [47, 16]
Generated Node #0,3,1: 40:[47, 16] Operation: 21-5=16
Exploring Operation: 47-5=42, Resulting Numbers: [21, 42]
Generated Node #0,3,2: 40:[21, 42] Operation: 47-5=42
Exploring Operation: 47-21=26, Resulting Numbers: [5, 26]
Generated Node #0,3,3: 40:[5, 26] Operation: 47-21=26
Moving to Node #0,3,2
Current State: 40:[21, 42], Operations: ['88-67=21', '47-5=42']
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 21+42=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 21*42=882, Resulting Numbers: [882]
882,40 unequal: No Solution
Moving to Node #0,3,3
Current State: 40:[5, 26], Operations: ['88-67=21', '47-21=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,40 unequal: No Solution
Moving to Node #0,3,1
Current State: 40:[47, 16], Operations: ['88-67=21', '21-5=16']
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 47+16=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 47*16=752, Resulting Numbers: [752]
752,40 unequal: No Solution
Moving to Node #0,3,0
Current State: 40:[21, 52], Operations: ['88-67=21', '5+47=52']
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 21+52=73, Resulting Numbers: [73]
73,40 unequal: No Solution
Exploring Operation: 21*52=1092, Resulting Numbers: [1092]
1092,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[5, 67, 41], Operations: ['88-47=41']
Exploring Operation: 41-5=36, Resulting Numbers: [67, 36]
Generated Node #0,0,0: 40:[67, 36] Operation: 41-5=36
Exploring Operation: 67-5=62, Resulting Numbers: [41, 62]
Generated Node #0,0,1: 40:[41, 62] Operation: 67-5=62
Exploring Operation: 5+67=72, Resulting Numbers: [41, 72]
Generated Node #0,0,2: 40:[41, 72] Operation: 5+67=72
Exploring Operation: 67-41=26, Resulting Numbers: [5, 26]
Generated Node #0,0,3: 40:[5, 26] Operation: 67-41=26
Moving to Node #0,0,3
Current State: 40:[5, 26], Operations: ['88-47=41', '67-41=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[41, 62], Operations: ['88-47=41', '67-5=62']
Exploring Operation: 41*62=2542, Resulting Numbers: [2542]
2542,40 unequal: No Solution
Exploring Operation: 41+62=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Exploring Operation: 62-41=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[67, 36], Operations: ['88-47=41', '41-5=36']
Exploring Operation: 67+36=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 67*36=2412, Resulting Numbers: [2412]
2412,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[41, 72], Operations: ['88-47=41', '5+67=72']
Exploring Operation: 41*72=2952, Resulting Numbers: [2952]
2952,40 unequal: No Solution
Exploring Operation: 41+72=113, Resulting Numbers: [113]
113,40 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[5, 88, 20], Operations: ['67-47=20']
Exploring Operation: 5+88=93, Resulting Numbers: [20, 93]
Generated Node #0,2,0: 40:[20, 93] Operation: 5+88=93
Exploring Operation: 20/5=4, Resulting Numbers: [88, 4]
Generated Node #0,2,1: 40:[88, 4] Operation: 20/5=4
Exploring Operation: 88-5=83, Resulting Numbers: [20, 83]
Generated Node #0,2,2: 40:[20, 83] Operation: 88-5=83
Exploring Operation: 88-20=68, Resulting Numbers: [5, 68]
Generated Node #0,2,3: 40:[5, 68] Operation: 88-20=68
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 40:[5, 68], Operations: ['67-47=20', '88-20=68']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 5+68=73, Resulting Numbers: [73]
73,40 unequal: No Solution
Exploring Operation: 5*68=340, Resulting Numbers: [340]
340,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 40:[20, 83], Operations: ['67-47=20', '88-5=83']
Exploring Operation: 83-20=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 20+83=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Exploring Operation: 20*83=1660, Resulting Numbers: [1660]
1660,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 40:[88, 4], Operations: ['67-47=20', '20/5=4']
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,40 unequal: No Solution
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,40 unequal: No Solution
Exploring Operation: 88*4=352, Resulting Numbers: [352]
352,40 unequal: No Solution
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 40:[20, 93], Operations: ['67-47=20', '5+88=93']
Exploring Operation: 20+93=113, Resulting Numbers: [113]
113,40 unequal: No Solution
Exploring Operation: 93-20=73, Resulting Numbers: [73]
73,40 unequal: No Solution
Exploring Operation: 20*93=1860, Resulting Numbers: [1860]
1860,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[88, 47, 62], Operations: ['67-5=62']
Exploring Operation: 88+47=135, Resulting Numbers: [62, 135]
Generated Node #0,1,0: 40:[62, 135] Operation: 88+47=135
Exploring Operation: 88-62=26, Resulting Numbers: [47, 26]
Generated Node #0,1,1: 40:[47, 26] Operation: 88-62=26
Exploring Operation: 62-47=15, Resulting Numbers: [88, 15]
Generated Node #0,1,2: 40:[88, 15] Operation: 62-47=15
Exploring Operation: 88-47=41, Resulting Numbers: [62, 41]
Generated Node #0,1,3: 40:[62, 41] Operation: 88-47=41
Moving to Node #0,1,1
Current State: 40:[47, 26], Operations: ['67-5=62', '88-62=26']
Exploring Operation: 47*26=1222, Resulting Numbers: [1222]
1222,40 unequal: No Solution
Exploring Operation: 47-26=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 47+26=73, Resulting Numbers: [73]
73,40 unequal: No Solution
Moving to Node #0,1,3
Current State: 40:[62, 41], Operations: ['67-5=62', '88-47=41']
Exploring Operation: 62*41=2542, Resulting Numbers: [2542]
2542,40 unequal: No Solution
Exploring Operation: 62-41=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 62+41=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Moving to Node #0,1,2
Current State: 40:[88, 15], Operations: ['67-5=62', '62-47=15']
Exploring Operation: 88*15=1320, Resulting Numbers: [1320]
1320,40 unequal: No Solution
Exploring Operation: 88+15=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,40 unequal: No Solution
Moving to Node #0,1,0
Current State: 40:[62, 135], Operations: ['67-5=62', '88+47=135']
Exploring Operation: 62+135=197, Resulting Numbers: [197]
197,40 unequal: No Solution
Exploring Operation: 135-62=73, Resulting Numbers: [73]
73,40 unequal: No Solution
Exploring Operation: 62*135=8370, Resulting Numbers: [8370]
8370,40 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 |
[
11,
69,
48,
24
] | 40 | [
"11+69=80",
"48/24=2",
"80/2=40"
] | Current State: 40:[11, 69, 48, 24], Operations: []
Exploring Operation: 11+69=80, Resulting Numbers: [48, 24, 80]
Generated Node #2: [48, 24, 80] from Operation: 11+69=80
Current State: 40:[48, 24, 80], Operations: ['11+69=80']
Exploring Operation: 48/24=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 48/24=2
Current State: 40:[80, 2], Operations: ['11+69=80', '48/24=2']
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[11, 69, 48, 24], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [11, 24, 21]
Generated Node #0,0: 40:[11, 24, 21] Operation: 69-48=21
Exploring Operation: 69-24=45, Resulting Numbers: [11, 48, 45]
Generated Node #0,1: 40:[11, 48, 45] Operation: 69-24=45
Moving to Node #0,0
Current State: 40:[11, 24, 21], Operations: ['69-48=21']
Exploring Operation: 24-11=13, Resulting Numbers: [21, 13]
Generated Node #0,0,0: 40:[21, 13] Operation: 24-11=13
Exploring Operation: 24-21=3, Resulting Numbers: [11, 3]
Generated Node #0,0,1: 40:[11, 3] Operation: 24-21=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[11, 3], Operations: ['69-48=21', '24-21=3']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[21, 13], Operations: ['69-48=21', '24-11=13']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 40:[11, 48, 45], Operations: ['69-24=45']
Exploring Operation: 48-45=3, Resulting Numbers: [11, 3]
Generated Node #0,1,0: 40:[11, 3] Operation: 48-45=3
Exploring Operation: 48-11=37, Resulting Numbers: [45, 37]
Generated Node #0,1,1: 40:[45, 37] Operation: 48-11=37
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[11, 3], Operations: ['69-24=45', '48-45=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 40:[45, 37], Operations: ['69-24=45', '48-11=37']
Exploring Operation: 45-37=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 45+37=82, Resulting Numbers: [82]
82,40 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 |
[
17,
20,
61,
89
] | 50 | [
"20-17=3",
"61+89=150",
"150/3=50"
] | Current State: 50:[17, 20, 61, 89], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [61, 89, 3]
Generated Node #2: [61, 89, 3] from Operation: 20-17=3
Current State: 50:[61, 89, 3], Operations: ['20-17=3']
Exploring Operation: 61+89=150, Resulting Numbers: [3, 150]
Generated Node #3: [3, 150] from Operation: 61+89=150
Current State: 50:[3, 150], Operations: ['20-17=3', '61+89=150']
Exploring Operation: 150/3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[17, 20, 61, 89], Operations: []
Exploring Operation: 89-20=69, Resulting Numbers: [17, 61, 69]
Generated Node #0,0: 50:[17, 61, 69] Operation: 89-20=69
Exploring Operation: 89-17=72, Resulting Numbers: [20, 61, 72]
Generated Node #0,1: 50:[20, 61, 72] Operation: 89-17=72
Exploring Operation: 89-61=28, Resulting Numbers: [17, 20, 28]
Generated Node #0,2: 50:[17, 20, 28] Operation: 89-61=28
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[17, 20, 28], Operations: ['89-61=28']
Exploring Operation: 28-17=11, Resulting Numbers: [20, 11]
Generated Node #0,2,0: 50:[20, 11] Operation: 28-17=11
Exploring Operation: 20-17=3, Resulting Numbers: [28, 3]
Generated Node #0,2,1: 50:[28, 3] Operation: 20-17=3
Exploring Operation: 20+28=48, Resulting Numbers: [17, 48]
Generated Node #0,2,2: 50:[17, 48] Operation: 20+28=48
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 50:[28, 3], Operations: ['89-61=28', '20-17=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,50 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,50 unequal: No Solution
No 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: 50:[20, 11], Operations: ['89-61=28', '28-17=11']
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,50 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,50 unequal: No Solution
No 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: 50:[17, 48], Operations: ['89-61=28', '20+28=48']
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,50 unequal: No Solution
Exploring Operation: 17*48=816, Resulting Numbers: [816]
816,50 unequal: No Solution
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,50 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: 50:[17, 61, 69], Operations: ['89-20=69']
Exploring Operation: 69-61=8, Resulting Numbers: [17, 8]
Generated Node #0,0,0: 50:[17, 8] Operation: 69-61=8
Exploring Operation: 61-17=44, Resulting Numbers: [69, 44]
Generated Node #0,0,1: 50:[69, 44] Operation: 61-17=44
Exploring Operation: 69-17=52, Resulting Numbers: [61, 52]
Generated Node #0,0,2: 50:[61, 52] Operation: 69-17=52
Moving to Node #0,0,0
Current State: 50:[17, 8], Operations: ['89-20=69', '69-61=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[61, 52], Operations: ['89-20=69', '69-17=52']
Exploring Operation: 61*52=3172, Resulting Numbers: [3172]
3172,50 unequal: No Solution
Exploring Operation: 61-52=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 61+52=113, Resulting Numbers: [113]
113,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[69, 44], Operations: ['89-20=69', '61-17=44']
Exploring Operation: 69*44=3036, Resulting Numbers: [3036]
3036,50 unequal: No Solution
Exploring Operation: 69+44=113, Resulting Numbers: [113]
113,50 unequal: No Solution
Exploring Operation: 69-44=25, Resulting Numbers: [25]
25,50 unequal: No Solution
No solution 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: 50:[20, 61, 72], Operations: ['89-17=72']
Exploring Operation: 72-61=11, Resulting Numbers: [20, 11]
Generated Node #0,1,0: 50:[20, 11] Operation: 72-61=11
Exploring Operation: 72-20=52, Resulting Numbers: [61, 52]
Generated Node #0,1,1: 50:[61, 52] Operation: 72-20=52
Exploring Operation: 61-20=41, Resulting Numbers: [72, 41]
Generated Node #0,1,2: 50:[72, 41] Operation: 61-20=41
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[20, 11], Operations: ['89-17=72', '72-61=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,50 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,50 unequal: No Solution
No 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: 50:[61, 52], Operations: ['89-17=72', '72-20=52']
Exploring Operation: 61+52=113, Resulting Numbers: [113]
113,50 unequal: No Solution
Exploring Operation: 61*52=3172, Resulting Numbers: [3172]
3172,50 unequal: No Solution
Exploring Operation: 61-52=9, Resulting Numbers: [9]
9,50 unequal: No Solution
No 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: 50:[72, 41], Operations: ['89-17=72', '61-20=41']
Exploring Operation: 72*41=2952, Resulting Numbers: [2952]
2952,50 unequal: No Solution
Exploring Operation: 72+41=113, Resulting Numbers: [113]
113,50 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,50 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 |
[
53,
50,
9,
64
] | 25 | [
"53+9=62",
"64-62=2",
"50/2=25"
] | Current State: 25:[53, 50, 9, 64], Operations: []
Exploring Operation: 53+9=62, Resulting Numbers: [50, 64, 62]
Generated Node #2: [50, 64, 62] from Operation: 53+9=62
Current State: 25:[50, 64, 62], Operations: ['53+9=62']
Exploring Operation: 64-62=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 64-62=2
Current State: 25:[50, 2], Operations: ['53+9=62', '64-62=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[53, 50, 9, 64], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [9, 64, 3]
Generated Node #0,0: 25:[9, 64, 3] Operation: 53-50=3
Exploring Operation: 53-9=44, Resulting Numbers: [50, 64, 44]
Generated Node #0,1: 25:[50, 64, 44] Operation: 53-9=44
Exploring Operation: 64-53=11, Resulting Numbers: [50, 9, 11]
Generated Node #0,2: 25:[50, 9, 11] Operation: 64-53=11
Exploring Operation: 64-50=14, Resulting Numbers: [53, 9, 14]
Generated Node #0,3: 25:[53, 9, 14] Operation: 64-50=14
Exploring Operation: 50-9=41, Resulting Numbers: [53, 64, 41]
Generated Node #0,4: 25:[53, 64, 41] Operation: 50-9=41
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[50, 9, 11], Operations: ['64-53=11']
Exploring Operation: 50+9=59, Resulting Numbers: [11, 59]
Generated Node #0,2,0: 25:[11, 59] Operation: 50+9=59
Exploring Operation: 11-9=2, Resulting Numbers: [50, 2]
Generated Node #0,2,1: 25:[50, 2] Operation: 11-9=2
Exploring Operation: 50-11=39, Resulting Numbers: [9, 39]
Generated Node #0,2,2: 25:[9, 39] Operation: 50-11=39
Exploring Operation: 9+11=20, Resulting Numbers: [50, 20]
Generated Node #0,2,3: 25:[50, 20] Operation: 9+11=20
Exploring Operation: 50-9=41, Resulting Numbers: [11, 41]
Generated Node #0,2,4: 25:[11, 41] Operation: 50-9=41
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 25:[9, 39], Operations: ['64-53=11', '50-11=39']
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 9*39=351, Resulting Numbers: [351]
351,25 unequal: No Solution
Exploring Operation: 9+39=48, Resulting Numbers: [48]
48,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 25:[11, 41], Operations: ['64-53=11', '50-9=41']
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,25 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 25:[50, 2], Operations: ['64-53=11', '11-9=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,25 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[53, 50, 9, 64], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [50, 9, 11]
Generated Node #0,2: 25:[50, 9, 11] Operation: 64-53=11
Moving to Node #0,2
Current State: 25:[50, 9, 11], Operations: ['64-53=11']
Exploring Operation: 11-9=2, Resulting Numbers: [50, 2]
Generated Node #0,2,1: 25:[50, 2] Operation: 11-9=2
Moving to Node #0,2,1
Current State: 25:[50, 2], Operations: ['64-53=11', '11-9=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
96,
6,
86,
77
] | 10 | [
"96-6=90",
"86-77=9",
"90/9=10"
] | Current State: 10:[96, 6, 86, 77], Operations: []
Exploring Operation: 96-6=90, Resulting Numbers: [86, 77, 90]
Generated Node #2: [86, 77, 90] from Operation: 96-6=90
Current State: 10:[86, 77, 90], Operations: ['96-6=90']
Exploring Operation: 86-77=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 86-77=9
Current State: 10:[90, 9], Operations: ['96-6=90', '86-77=9']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[96, 6, 86, 77], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [6, 77, 10]
Generated Node #0,0: 10:[6, 77, 10] Operation: 96-86=10
Exploring Operation: 96-77=19, Resulting Numbers: [6, 86, 19]
Generated Node #0,1: 10:[6, 86, 19] Operation: 96-77=19
Exploring Operation: 96/6=16, Resulting Numbers: [86, 77, 16]
Generated Node #0,2: 10:[86, 77, 16] Operation: 96/6=16
Exploring Operation: 96-6=90, Resulting Numbers: [86, 77, 90]
Generated Node #0,3: 10:[86, 77, 90] Operation: 96-6=90
Exploring Operation: 86-77=9, Resulting Numbers: [96, 6, 9]
Generated Node #0,4: 10:[96, 6, 9] Operation: 86-77=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[6, 77, 10], Operations: ['96-86=10']
Exploring Operation: 77-6=71, Resulting Numbers: [10, 71]
Generated Node #0,0,0: 10:[10, 71] Operation: 77-6=71
Exploring Operation: 77-10=67, Resulting Numbers: [6, 67]
Generated Node #0,0,1: 10:[6, 67] Operation: 77-10=67
Exploring Operation: 10-6=4, Resulting Numbers: [77, 4]
Generated Node #0,0,2: 10:[77, 4] Operation: 10-6=4
Exploring Operation: 6+10=16, Resulting Numbers: [77, 16]
Generated Node #0,0,3: 10:[77, 16] Operation: 6+10=16
Exploring Operation: 6+77=83, Resulting Numbers: [10, 83]
Generated Node #0,0,4: 10:[10, 83] Operation: 6+77=83
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 10:[6, 67], Operations: ['96-86=10', '77-10=67']
Exploring Operation: 6*67=402, Resulting Numbers: [402]
402,10 unequal: No Solution
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Exploring Operation: 6+67=73, Resulting Numbers: [73]
73,10 unequal: No Solution
No 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: 10:[10, 71], Operations: ['96-86=10', '77-6=71']
Exploring Operation: 10*71=710, Resulting Numbers: [710]
710,10 unequal: No Solution
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Exploring Operation: 10+71=81, Resulting Numbers: [81]
81,10 unequal: No Solution
No 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: 10:[77, 4], Operations: ['96-86=10', '10-6=4']
Exploring Operation: 77*4=308, Resulting Numbers: [308]
308,10 unequal: No Solution
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,10 unequal: No Solution
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,10 unequal: No Solution
No 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: 10:[77, 16], Operations: ['96-86=10', '6+10=16']
Exploring Operation: 77-16=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Exploring Operation: 77+16=93, Resulting Numbers: [93]
93,10 unequal: No Solution
Exploring Operation: 77*16=1232, Resulting Numbers: [1232]
1232,10 unequal: No Solution
No 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: 10:[10, 83], Operations: ['96-86=10', '6+77=83']
Exploring Operation: 10+83=93, Resulting Numbers: [93]
93,10 unequal: No Solution
Exploring Operation: 10*83=830, Resulting Numbers: [830]
830,10 unequal: No Solution
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,10 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: 10:[6, 86, 19], Operations: ['96-77=19']
Exploring Operation: 19-6=13, Resulting Numbers: [86, 13]
Generated Node #0,1,0: 10:[86, 13] Operation: 19-6=13
Exploring Operation: 86-19=67, Resulting Numbers: [6, 67]
Generated Node #0,1,1: 10:[6, 67] Operation: 86-19=67
Exploring Operation: 6+86=92, Resulting Numbers: [19, 92]
Generated Node #0,1,2: 10:[19, 92] Operation: 6+86=92
Exploring Operation: 86-6=80, Resulting Numbers: [19, 80]
Generated Node #0,1,3: 10:[19, 80] Operation: 86-6=80
Exploring Operation: 6+19=25, Resulting Numbers: [86, 25]
Generated Node #0,1,4: 10:[86, 25] Operation: 6+19=25
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 10:[6, 67], Operations: ['96-77=19', '86-19=67']
Exploring Operation: 6*67=402, Resulting Numbers: [402]
402,10 unequal: No Solution
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Exploring Operation: 6+67=73, Resulting Numbers: [73]
73,10 unequal: No Solution
No 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: 10:[86, 13], Operations: ['96-77=19', '19-6=13']
Exploring Operation: 86*13=1118, Resulting Numbers: [1118]
1118,10 unequal: No Solution
Exploring Operation: 86+13=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,10 unequal: No Solution
No 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: 10:[19, 80], Operations: ['96-77=19', '86-6=80']
Exploring Operation: 19*80=1520, Resulting Numbers: [1520]
1520,10 unequal: No Solution
Exploring Operation: 19+80=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,10 unequal: No Solution
No 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: 10:[19, 92], Operations: ['96-77=19', '6+86=92']
Exploring Operation: 19*92=1748, Resulting Numbers: [1748]
1748,10 unequal: No Solution
Exploring Operation: 19+92=111, Resulting Numbers: [111]
111,10 unequal: No Solution
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,10 unequal: No Solution
No 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: 10:[86, 25], Operations: ['96-77=19', '6+19=25']
Exploring Operation: 86*25=2150, Resulting Numbers: [2150]
2150,10 unequal: No Solution
Exploring Operation: 86+25=111, Resulting Numbers: [111]
111,10 unequal: No Solution
Exploring Operation: 86-25=61, Resulting Numbers: [61]
61,10 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: 10:[96, 6, 9], Operations: ['86-77=9']
Exploring Operation: 6+9=15, Resulting Numbers: [96, 15]
Generated Node #0,4,0: 10:[96, 15] Operation: 6+9=15
Exploring Operation: 96/6=16, Resulting Numbers: [9, 16]
Generated Node #0,4,1: 10:[9, 16] Operation: 96/6=16
Exploring Operation: 96-6=90, Resulting Numbers: [9, 90]
Generated Node #0,4,2: 10:[9, 90] Operation: 96-6=90
Exploring Operation: 96-9=87, Resulting Numbers: [6, 87]
Generated Node #0,4,3: 10:[6, 87] Operation: 96-9=87
Exploring Operation: 9-6=3, Resulting Numbers: [96, 3]
Generated Node #0,4,4: 10:[96, 3] Operation: 9-6=3
Moving to Node #0,4,1
Current State: 10:[9, 16], Operations: ['86-77=9', '96/6=16']
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,10 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Moving to Node #0,4,3
Current State: 10:[6, 87], Operations: ['86-77=9', '96-9=87']
Exploring Operation: 6*87=522, Resulting Numbers: [522]
522,10 unequal: No Solution
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,10 unequal: No Solution
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,10 unequal: No Solution
Moving to Node #0,4,2
Current State: 10:[9, 90], Operations: ['86-77=9', '96-6=90']
Exploring Operation: 9*90=810, Resulting Numbers: [810]
810,10 unequal: No Solution
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[96, 6, 86, 77], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [96, 6, 9]
Generated Node #0,4: 10:[96, 6, 9] Operation: 86-77=9
Moving to Node #0,4
Current State: 10:[96, 6, 9], Operations: ['86-77=9']
Exploring Operation: 96-6=90, Resulting Numbers: [9, 90]
Generated Node #0,4,2: 10:[9, 90] Operation: 96-6=90
Moving to Node #0,4,2
Current State: 10:[9, 90], Operations: ['86-77=9', '96-6=90']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.946181 | hs_5 | mult_heuristic |
[
20,
92,
38,
54
] | 47 | [
"20*92=1840",
"1840-54=1786",
"1786/38=47"
] | Current State: 47:[20, 92, 38, 54], Operations: []
Exploring Operation: 20*92=1840, Resulting Numbers: [38, 54, 1840]
Generated Node #2: [38, 54, 1840] from Operation: 20*92=1840
Current State: 47:[38, 54, 1840], Operations: ['20*92=1840']
Exploring Operation: 1840-54=1786, Resulting Numbers: [38, 1786]
Generated Node #3: [38, 1786] from Operation: 1840-54=1786
Current State: 47:[38, 1786], Operations: ['20*92=1840', '1840-54=1786']
Exploring Operation: 1786/38=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[20, 92, 38, 54], Operations: []
Exploring Operation: 92-38=54, Resulting Numbers: [20, 54, 54]
Generated Node #0,0: 47:[20, 54, 54] Operation: 92-38=54
Exploring Operation: 92-20=72, Resulting Numbers: [38, 54, 72]
Generated Node #0,1: 47:[38, 54, 72] Operation: 92-20=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[20, 54, 54], Operations: ['92-38=54']
Exploring Operation: 54-20=34, Resulting Numbers: [54, 34]
Generated Node #0,0,0: 47:[54, 34] Operation: 54-20=34
Exploring Operation: 54-20=34, Resulting Numbers: [54, 34]
Generated Node #0,0,1: 47:[54, 34] Operation: 54-20=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[54, 34], Operations: ['92-38=54', '54-20=34']
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 54+34=88, Resulting Numbers: [88]
88,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[54, 34], Operations: ['92-38=54', '54-20=34']
Exploring Operation: 54+34=88, Resulting Numbers: [88]
88,47 unequal: No Solution
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[38, 54, 72], Operations: ['92-20=72']
Exploring Operation: 72-54=18, Resulting Numbers: [38, 18]
Generated Node #0,1,0: 47:[38, 18] Operation: 72-54=18
Exploring Operation: 72-38=34, Resulting Numbers: [54, 34]
Generated Node #0,1,1: 47:[54, 34] Operation: 72-38=34
Moving to Node #0,1,1
Current State: 47:[54, 34], Operations: ['92-20=72', '72-38=34']
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 54+34=88, Resulting Numbers: [88]
88,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[38, 18], Operations: ['92-20=72', '72-54=18']
Exploring Operation: 38+18=56, Resulting Numbers: [56]
56,47 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,47 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 |
[
70,
58,
7,
2
] | 78 | [
"70/7=10",
"2*10=20",
"58+20=78"
] | Current State: 78:[70, 58, 7, 2], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [58, 2, 10]
Generated Node #2: [58, 2, 10] from Operation: 70/7=10
Current State: 78:[58, 2, 10], Operations: ['70/7=10']
Exploring Operation: 2*10=20, Resulting Numbers: [58, 20]
Generated Node #3: [58, 20] from Operation: 2*10=20
Current State: 78:[58, 20], Operations: ['70/7=10', '2*10=20']
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[70, 58, 7, 2], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [70, 7, 29]
Generated Node #0,0: 78:[70, 7, 29] Operation: 58/2=29
Exploring Operation: 70-58=12, Resulting Numbers: [7, 2, 12]
Generated Node #0,1: 78:[7, 2, 12] Operation: 70-58=12
Moving to Node #0,1
Current State: 78:[7, 2, 12], Operations: ['70-58=12']
Exploring Operation: 12/2=6, Resulting Numbers: [7, 6]
Generated Node #0,1,0: 78:[7, 6] Operation: 12/2=6
Exploring Operation: 12-7=5, Resulting Numbers: [2, 5]
Generated Node #0,1,1: 78:[2, 5] Operation: 12-7=5
Moving to Node #0,0
Current State: 78:[70, 7, 29], Operations: ['58/2=29']
Exploring Operation: 70-29=41, Resulting Numbers: [7, 41]
Generated Node #0,0,0: 78:[7, 41] Operation: 70-29=41
Exploring Operation: 70+7=77, Resulting Numbers: [29, 77]
Generated Node #0,0,1: 78:[29, 77] Operation: 70+7=77
Moving to Node #0,1,0
Current State: 78:[7, 6], Operations: ['70-58=12', '12/2=6']
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[2, 5], Operations: ['70-58=12', '12-7=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
Moving to Node #0,0,0
Current State: 78:[7, 41], Operations: ['58/2=29', '70-29=41']
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 7+41=48, Resulting Numbers: [48]
48,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[29, 77], Operations: ['58/2=29', '70+7=77']
Exploring Operation: 29+77=106, Resulting Numbers: [106]
106,78 unequal: No Solution
Exploring Operation: 77-29=48, Resulting Numbers: [48]
48,78 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
80,
93,
20,
1
] | 34 | [
"93-80=13",
"20+1=21",
"13+21=34"
] | Current State: 34:[80, 93, 20, 1], Operations: []
Exploring Operation: 93-80=13, Resulting Numbers: [20, 1, 13]
Generated Node #2: [20, 1, 13] from Operation: 93-80=13
Current State: 34:[20, 1, 13], Operations: ['93-80=13']
Exploring Operation: 20+1=21, Resulting Numbers: [13, 21]
Generated Node #3: [13, 21] from Operation: 20+1=21
Current State: 34:[13, 21], Operations: ['93-80=13', '20+1=21']
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[80, 93, 20, 1], Operations: []
Exploring Operation: 93-80=13, Resulting Numbers: [20, 1, 13]
Generated Node #0,0: 34:[20, 1, 13] Operation: 93-80=13
Exploring Operation: 80/20=4, Resulting Numbers: [93, 1, 4]
Generated Node #0,1: 34:[93, 1, 4] Operation: 80/20=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[20, 1, 13], Operations: ['93-80=13']
Exploring Operation: 20-1=19, Resulting Numbers: [13, 19]
Generated Node #0,0,0: 34:[13, 19] Operation: 20-1=19
Exploring Operation: 20+13=33, Resulting Numbers: [1, 33]
Generated Node #0,0,1: 34:[1, 33] Operation: 20+13=33
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 34:[1, 33], Operations: ['93-80=13', '20+13=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,34 unequal: No Solution
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[80, 93, 20, 1], Operations: []
Exploring Operation: 93-80=13, Resulting Numbers: [20, 1, 13]
Generated Node #0,0: 34:[20, 1, 13] Operation: 93-80=13
Moving to Node #0,0
Current State: 34:[20, 1, 13], Operations: ['93-80=13']
Exploring Operation: 20+13=33, Resulting Numbers: [1, 33]
Generated Node #0,0,1: 34:[1, 33] Operation: 20+13=33
Moving to Node #0,0,1
Current State: 34:[1, 33], Operations: ['93-80=13', '20+13=33']
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
5,
35,
39,
42
] | 100 | [
"42-39=3",
"35*3=105",
"105-5=100"
] | Current State: 100:[5, 35, 39, 42], Operations: []
Exploring Operation: 42-39=3, Resulting Numbers: [5, 35, 3]
Generated Node #2: [5, 35, 3] from Operation: 42-39=3
Current State: 100:[5, 35, 3], Operations: ['42-39=3']
Exploring Operation: 35*3=105, Resulting Numbers: [5, 105]
Generated Node #3: [5, 105] from Operation: 35*3=105
Current State: 100:[5, 105], Operations: ['42-39=3', '35*3=105']
Exploring Operation: 105-5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[5, 35, 39, 42], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [5, 42, 4]
Generated Node #0,0: 100:[5, 42, 4] Operation: 39-35=4
Exploring Operation: 42-39=3, Resulting Numbers: [5, 35, 3]
Generated Node #0,1: 100:[5, 35, 3] Operation: 42-39=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[5, 42, 4], Operations: ['39-35=4']
Exploring Operation: 42+4=46, Resulting Numbers: [5, 46]
Generated Node #0,0,0: 100:[5, 46] Operation: 42+4=46
Exploring Operation: 5+42=47, Resulting Numbers: [4, 47]
Generated Node #0,0,1: 100:[4, 47] Operation: 5+42=47
Moving to Node #0,0,1
Current State: 100:[4, 47], Operations: ['39-35=4', '5+42=47']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[5, 46], Operations: ['39-35=4', '42+4=46']
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[5, 35, 3], Operations: ['42-39=3']
Exploring Operation: 35/5=7, Resulting Numbers: [3, 7]
Generated Node #0,1,0: 100:[3, 7] Operation: 35/5=7
Exploring Operation: 35*3=105, Resulting Numbers: [5, 105]
Generated Node #0,1,1: 100:[5, 105] Operation: 35*3=105
Moving to Node #0,1,0
Current State: 100:[3, 7], Operations: ['42-39=3', '35/5=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,100 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[5, 105], Operations: ['42-39=3', '35*3=105']
Exploring Operation: 105-5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[5, 35, 39, 42], Operations: []
Exploring Operation: 42-39=3, Resulting Numbers: [5, 35, 3]
Generated Node #0,1: 100:[5, 35, 3] Operation: 42-39=3
Moving to Node #0,1
Current State: 100:[5, 35, 3], Operations: ['42-39=3']
Exploring Operation: 35*3=105, Resulting Numbers: [5, 105]
Generated Node #0,1,1: 100:[5, 105] Operation: 35*3=105
Moving to Node #0,1,1
Current State: 100:[5, 105], Operations: ['42-39=3', '35*3=105']
Exploring Operation: 105-5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_2 | sum_heuristic |
[
38,
72,
18,
35
] | 42 | [
"38-35=3",
"72/3=24",
"18+24=42"
] | Current State: 42:[38, 72, 18, 35], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [72, 18, 3]
Generated Node #2: [72, 18, 3] from Operation: 38-35=3
Current State: 42:[72, 18, 3], Operations: ['38-35=3']
Exploring Operation: 72/3=24, Resulting Numbers: [18, 24]
Generated Node #3: [18, 24] from Operation: 72/3=24
Current State: 42:[18, 24], Operations: ['38-35=3', '72/3=24']
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[38, 72, 18, 35], Operations: []
Exploring Operation: 72-35=37, Resulting Numbers: [38, 18, 37]
Generated Node #0,0: 42:[38, 18, 37] Operation: 72-35=37
Exploring Operation: 72/18=4, Resulting Numbers: [38, 35, 4]
Generated Node #0,1: 42:[38, 35, 4] Operation: 72/18=4
Exploring Operation: 72-38=34, Resulting Numbers: [18, 35, 34]
Generated Node #0,2: 42:[18, 35, 34] Operation: 72-38=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[38, 18, 37], Operations: ['72-35=37']
Exploring Operation: 38-37=1, Resulting Numbers: [18, 1]
Generated Node #0,0,0: 42:[18, 1] Operation: 38-37=1
Exploring Operation: 38-18=20, Resulting Numbers: [37, 20]
Generated Node #0,0,1: 42:[37, 20] Operation: 38-18=20
Exploring Operation: 37-18=19, Resulting Numbers: [38, 19]
Generated Node #0,0,2: 42:[38, 19] Operation: 37-18=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 42:[18, 1], Operations: ['72-35=37', '38-37=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,42 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,42 unequal: No Solution
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 42:[37, 20], Operations: ['72-35=37', '38-18=20']
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,42 unequal: No Solution
Exploring Operation: 37*20=740, Resulting Numbers: [740]
740,42 unequal: No Solution
Exploring Operation: 37+20=57, Resulting Numbers: [57]
57,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 42:[38, 19], Operations: ['72-35=37', '37-18=19']
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,42 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 38+19=57, Resulting Numbers: [57]
57,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[38, 35, 4], Operations: ['72/18=4']
Exploring Operation: 38+4=42, Resulting Numbers: [35, 42]
Generated Node #0,1,0: 42:[35, 42] Operation: 38+4=42
Exploring Operation: 38-35=3, Resulting Numbers: [4, 3]
Generated Node #0,1,1: 42:[4, 3] Operation: 38-35=3
Exploring Operation: 35+4=39, Resulting Numbers: [38, 39]
Generated Node #0,1,2: 42:[38, 39] Operation: 35+4=39
Moving to Node #0,1,1
Current State: 42:[4, 3], Operations: ['72/18=4', '38-35=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,42 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[35, 42], Operations: ['72/18=4', '38+4=42']
Exploring Operation: 35+42=77, Resulting Numbers: [77]
77,42 unequal: No Solution
Exploring Operation: 42-35=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Exploring Operation: 35*42=1470, Resulting Numbers: [1470]
1470,42 unequal: No Solution
Moving to Node #0,1,2
Current State: 42:[38, 39], Operations: ['72/18=4', '35+4=39']
Exploring Operation: 38*39=1482, Resulting Numbers: [1482]
1482,42 unequal: No Solution
Exploring Operation: 38+39=77, Resulting Numbers: [77]
77,42 unequal: No Solution
Exploring Operation: 39-38=1, Resulting Numbers: [1]
1,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[18, 35, 34], Operations: ['72-38=34']
Exploring Operation: 35-18=17, Resulting Numbers: [34, 17]
Generated Node #0,2,0: 42:[34, 17] Operation: 35-18=17
Exploring Operation: 35-34=1, Resulting Numbers: [18, 1]
Generated Node #0,2,1: 42:[18, 1] Operation: 35-34=1
Exploring Operation: 34-18=16, Resulting Numbers: [35, 16]
Generated Node #0,2,2: 42:[35, 16] Operation: 34-18=16
Moving to Node #0,2,1
Current State: 42:[18, 1], Operations: ['72-38=34', '35-34=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,42 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[35, 16], Operations: ['72-38=34', '34-18=16']
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,42 unequal: No Solution
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,42 unequal: No Solution
Exploring Operation: 35*16=560, Resulting Numbers: [560]
560,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[34, 17], Operations: ['72-38=34', '35-18=17']
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,42 unequal: No Solution
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,42 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,42 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 |
[
20,
40,
46,
15
] | 59 | [
"40/20=2",
"46+15=61",
"61-2=59"
] | Current State: 59:[20, 40, 46, 15], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [46, 15, 2]
Generated Node #2: [46, 15, 2] from Operation: 40/20=2
Current State: 59:[46, 15, 2], Operations: ['40/20=2']
Exploring Operation: 46+15=61, Resulting Numbers: [2, 61]
Generated Node #3: [2, 61] from Operation: 46+15=61
Current State: 59:[2, 61], Operations: ['40/20=2', '46+15=61']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[20, 40, 46, 15], Operations: []
Exploring Operation: 20+15=35, Resulting Numbers: [40, 46, 35]
Generated Node #0,0: 59:[40, 46, 35] Operation: 20+15=35
Exploring Operation: 40+15=55, Resulting Numbers: [20, 46, 55]
Generated Node #0,1: 59:[20, 46, 55] Operation: 40+15=55
Moving to Node #0,0
Current State: 59:[40, 46, 35], Operations: ['20+15=35']
Exploring Operation: 40+35=75, Resulting Numbers: [46, 75]
Generated Node #0,0,0: 59:[46, 75] Operation: 40+35=75
Exploring Operation: 46+35=81, Resulting Numbers: [40, 81]
Generated Node #0,0,1: 59:[40, 81] Operation: 46+35=81
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[46, 75], Operations: ['20+15=35', '40+35=75']
Exploring Operation: 46+75=121, Resulting Numbers: [121]
121,59 unequal: No Solution
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,59 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 #0,0,1
Current State: 59:[40, 81], Operations: ['20+15=35', '46+35=81']
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Exploring Operation: 40+81=121, Resulting Numbers: [121]
121,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 59:[20, 46, 55], Operations: ['40+15=55']
Exploring Operation: 20+46=66, Resulting Numbers: [55, 66]
Generated Node #0,1,0: 59:[55, 66] Operation: 20+46=66
Exploring Operation: 20+55=75, Resulting Numbers: [46, 75]
Generated Node #0,1,1: 59:[46, 75] Operation: 20+55=75
Moving to Node #0,1,0
Current State: 59:[55, 66], Operations: ['40+15=55', '20+46=66']
Exploring Operation: 55+66=121, Resulting Numbers: [121]
121,59 unequal: No Solution
Exploring Operation: 66-55=11, Resulting Numbers: [11]
11,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[46, 75], Operations: ['40+15=55', '20+55=75']
Exploring Operation: 46+75=121, Resulting Numbers: [121]
121,59 unequal: No Solution
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,59 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
54,
29,
3,
36
] | 48 | [
"29+3=32",
"54*32=1728",
"1728/36=48"
] | Current State: 48:[54, 29, 3, 36], Operations: []
Exploring Operation: 29+3=32, Resulting Numbers: [54, 36, 32]
Generated Node #2: [54, 36, 32] from Operation: 29+3=32
Current State: 48:[54, 36, 32], Operations: ['29+3=32']
Exploring Operation: 54*32=1728, Resulting Numbers: [36, 1728]
Generated Node #3: [36, 1728] from Operation: 54*32=1728
Current State: 48:[36, 1728], Operations: ['29+3=32', '54*32=1728']
Exploring Operation: 1728/36=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[54, 29, 3, 36], Operations: []
Exploring Operation: 54-36=18, Resulting Numbers: [29, 3, 18]
Generated Node #0,0: 48:[29, 3, 18] Operation: 54-36=18
Exploring Operation: 36-29=7, Resulting Numbers: [54, 3, 7]
Generated Node #0,1: 48:[54, 3, 7] Operation: 36-29=7
Exploring Operation: 54-29=25, Resulting Numbers: [3, 36, 25]
Generated Node #0,2: 48:[3, 36, 25] Operation: 54-29=25
Exploring Operation: 54/3=18, Resulting Numbers: [29, 36, 18]
Generated Node #0,3: 48:[29, 36, 18] Operation: 54/3=18
Exploring Operation: 36/3=12, Resulting Numbers: [54, 29, 12]
Generated Node #0,4: 48:[54, 29, 12] Operation: 36/3=12
Moving to Node #0,0
Current State: 48:[29, 3, 18], Operations: ['54-36=18']
Exploring Operation: 18/3=6, Resulting Numbers: [29, 6]
Generated Node #0,0,0: 48:[29, 6] Operation: 18/3=6
Exploring Operation: 18-3=15, Resulting Numbers: [29, 15]
Generated Node #0,0,1: 48:[29, 15] Operation: 18-3=15
Exploring Operation: 29+18=47, Resulting Numbers: [3, 47]
Generated Node #0,0,2: 48:[3, 47] Operation: 29+18=47
Exploring Operation: 29-18=11, Resulting Numbers: [3, 11]
Generated Node #0,0,3: 48:[3, 11] Operation: 29-18=11
Exploring Operation: 29-3=26, Resulting Numbers: [18, 26]
Generated Node #0,0,4: 48:[18, 26] Operation: 29-3=26
Moving to Node #0,1
Current State: 48:[54, 3, 7], Operations: ['36-29=7']
Exploring Operation: 54-7=47, Resulting Numbers: [3, 47]
Generated Node #0,1,0: 48:[3, 47] Operation: 54-7=47
Exploring Operation: 54/3=18, Resulting Numbers: [7, 18]
Generated Node #0,1,1: 48:[7, 18] Operation: 54/3=18
Exploring Operation: 54-3=51, Resulting Numbers: [7, 51]
Generated Node #0,1,2: 48:[7, 51] Operation: 54-3=51
Exploring Operation: 3+7=10, Resulting Numbers: [54, 10]
Generated Node #0,1,3: 48:[54, 10] Operation: 3+7=10
Exploring Operation: 7-3=4, Resulting Numbers: [54, 4]
Generated Node #0,1,4: 48:[54, 4] Operation: 7-3=4
Moving to Node #0,4
Current State: 48:[54, 29, 12], Operations: ['36/3=12']
Exploring Operation: 54-12=42, Resulting Numbers: [29, 42]
Generated Node #0,4,0: 48:[29, 42] Operation: 54-12=42
Exploring Operation: 29+12=41, Resulting Numbers: [54, 41]
Generated Node #0,4,1: 48:[54, 41] Operation: 29+12=41
Exploring Operation: 54-29=25, Resulting Numbers: [12, 25]
Generated Node #0,4,2: 48:[12, 25] Operation: 54-29=25
Exploring Operation: 54+12=66, Resulting Numbers: [29, 66]
Generated Node #0,4,3: 48:[29, 66] Operation: 54+12=66
Exploring Operation: 29-12=17, Resulting Numbers: [54, 17]
Generated Node #0,4,4: 48:[54, 17] Operation: 29-12=17
Moving to Node #0,2
Current State: 48:[3, 36, 25], Operations: ['54-29=25']
Exploring Operation: 36+25=61, Resulting Numbers: [3, 61]
Generated Node #0,2,0: 48:[3, 61] Operation: 36+25=61
Exploring Operation: 3+36=39, Resulting Numbers: [25, 39]
Generated Node #0,2,1: 48:[25, 39] Operation: 3+36=39
Exploring Operation: 36/3=12, Resulting Numbers: [25, 12]
Generated Node #0,2,2: 48:[25, 12] Operation: 36/3=12
Exploring Operation: 36-25=11, Resulting Numbers: [3, 11]
Generated Node #0,2,3: 48:[3, 11] Operation: 36-25=11
Exploring Operation: 36-3=33, Resulting Numbers: [25, 33]
Generated Node #0,2,4: 48:[25, 33] Operation: 36-3=33
Moving to Node #0,3
Current State: 48:[29, 36, 18], Operations: ['54/3=18']
Exploring Operation: 29+18=47, Resulting Numbers: [36, 47]
Generated Node #0,3,0: 48:[36, 47] Operation: 29+18=47
Exploring Operation: 36-18=18, Resulting Numbers: [29, 18]
Generated Node #0,3,1: 48:[29, 18] Operation: 36-18=18
Exploring Operation: 36+18=54, Resulting Numbers: [29, 54]
Generated Node #0,3,2: 48:[29, 54] Operation: 36+18=54
Exploring Operation: 36/18=2, Resulting Numbers: [29, 2]
Generated Node #0,3,3: 48:[29, 2] Operation: 36/18=2
Exploring Operation: 36-29=7, Resulting Numbers: [18, 7]
Generated Node #0,3,4: 48:[18, 7] Operation: 36-29=7
Moving to Node #0,0,2
Current State: 48:[3, 47], Operations: ['54-36=18', '29+18=47']
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,48 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[3, 47], Operations: ['36-29=7', '54-7=47']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,48 unequal: No Solution
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,48 unequal: No Solution
Moving to Node #0,0,3
Current State: 48:[3, 11], Operations: ['54-36=18', '29-18=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,48 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,48 unequal: No Solution
Moving to Node #0,4,2
Current State: 48:[12, 25], Operations: ['36/3=12', '54-29=25']
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 12*25=300, Resulting Numbers: [300]
300,48 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Moving to Node #0,2,2
Current State: 48:[25, 12], Operations: ['54-29=25', '36/3=12']
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 25*12=300, Resulting Numbers: [300]
300,48 unequal: No Solution
Moving to Node #0,2,3
Current State: 48:[3, 11], Operations: ['54-29=25', '36-25=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,48 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,48 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[7, 18], Operations: ['36-29=7', '54/3=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,48 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Moving to Node #0,3,4
Current State: 48:[18, 7], Operations: ['54/3=18', '36-29=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,48 unequal: No Solution
Moving to Node #0,0,4
Current State: 48:[18, 26], Operations: ['54-36=18', '29-3=26']
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 18*26=468, Resulting Numbers: [468]
468,48 unequal: No Solution
Exploring Operation: 18+26=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[7, 51], Operations: ['36-29=7', '54-3=51']
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,48 unequal: No Solution
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[29, 2], Operations: ['54/3=18', '36/18=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,48 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[29, 6], Operations: ['54-36=18', '18/3=6']
Exploring Operation: 29*6=174, Resulting Numbers: [174]
174,48 unequal: No Solution
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,48 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,48 unequal: No Solution
Moving to Node #0,1,4
Current State: 48:[54, 4], Operations: ['36-29=7', '7-3=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,48 unequal: No Solution
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[29, 15], Operations: ['54-36=18', '18-3=15']
Exploring Operation: 29+15=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,48 unequal: No Solution
Exploring Operation: 29*15=435, Resulting Numbers: [435]
435,48 unequal: No Solution
Moving to Node #0,4,4
Current State: 48:[54, 17], Operations: ['36/3=12', '29-12=17']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 54*17=918, Resulting Numbers: [918]
918,48 unequal: No Solution
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Moving to Node #0,3,1
Current State: 48:[29, 18], Operations: ['54/3=18', '36-18=18']
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 29+18=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 29*18=522, Resulting Numbers: [522]
522,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[54, 10], Operations: ['36-29=7', '3+7=10']
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 54*10=540, Resulting Numbers: [540]
540,48 unequal: No Solution
Exploring Operation: 54+10=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Moving to Node #0,2,1
Current State: 48:[25, 39], Operations: ['54-29=25', '3+36=39']
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Exploring Operation: 25*39=975, Resulting Numbers: [975]
975,48 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,48 unequal: No Solution
Moving to Node #0,2,4
Current State: 48:[25, 33], Operations: ['54-29=25', '36-3=33']
Exploring Operation: 25+33=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 25*33=825, Resulting Numbers: [825]
825,48 unequal: No Solution
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Moving to Node #0,4,0
Current State: 48:[29, 42], Operations: ['36/3=12', '54-12=42']
Exploring Operation: 29+42=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 29*42=1218, Resulting Numbers: [1218]
1218,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[29, 54], Operations: ['54/3=18', '36+18=54']
Exploring Operation: 29+54=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Exploring Operation: 29*54=1566, Resulting Numbers: [1566]
1566,48 unequal: No Solution
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Moving to Node #0,4,1
Current State: 48:[54, 41], Operations: ['36/3=12', '29+12=41']
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 54*41=2214, Resulting Numbers: [2214]
2214,48 unequal: No Solution
Exploring Operation: 54+41=95, Resulting Numbers: [95]
95,48 unequal: No Solution
Moving to Node #0,3,0
Current State: 48:[36, 47], Operations: ['54/3=18', '29+18=47']
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 36*47=1692, Resulting Numbers: [1692]
1692,48 unequal: No Solution
Exploring Operation: 36+47=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Moving to Node #0,2,0
Current State: 48:[3, 61], Operations: ['54-29=25', '36+25=61']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Exploring Operation: 3*61=183, Resulting Numbers: [183]
183,48 unequal: No Solution
Moving to Node #0,4,3
Current State: 48:[29, 66], Operations: ['36/3=12', '54+12=66']
Exploring Operation: 29*66=1914, Resulting Numbers: [1914]
1914,48 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 29+66=95, Resulting Numbers: [95]
95,48 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
47,
54,
2,
13
] | 40 | [
"54-47=7",
"13+7=20",
"2*20=40"
] | Current State: 40:[47, 54, 2, 13], Operations: []
Exploring Operation: 54-47=7, Resulting Numbers: [2, 13, 7]
Generated Node #2: [2, 13, 7] from Operation: 54-47=7
Current State: 40:[2, 13, 7], Operations: ['54-47=7']
Exploring Operation: 13+7=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 13+7=20
Current State: 40:[2, 20], Operations: ['54-47=7', '13+7=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[47, 54, 2, 13], Operations: []
Exploring Operation: 54-47=7, Resulting Numbers: [2, 13, 7]
Generated Node #0,0: 40:[2, 13, 7] Operation: 54-47=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[2, 13, 7], Operations: ['54-47=7']
Exploring Operation: 13+7=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 40:[2, 20] Operation: 13+7=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[2, 20], Operations: ['54-47=7', '13+7=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[47, 54, 2, 13], Operations: []
Exploring Operation: 54-47=7, Resulting Numbers: [2, 13, 7]
Generated Node #0,0: 40:[2, 13, 7] Operation: 54-47=7
Moving to Node #0,0
Current State: 40:[2, 13, 7], Operations: ['54-47=7']
Exploring Operation: 13+7=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 40:[2, 20] Operation: 13+7=20
Moving to Node #0,0,0
Current State: 40:[2, 20], Operations: ['54-47=7', '13+7=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
90,
67,
12,
19
] | 30 | [
"90-67=23",
"19-12=7",
"23+7=30"
] | Current State: 30:[90, 67, 12, 19], Operations: []
Exploring Operation: 90-67=23, Resulting Numbers: [12, 19, 23]
Generated Node #2: [12, 19, 23] from Operation: 90-67=23
Current State: 30:[12, 19, 23], Operations: ['90-67=23']
Exploring Operation: 19-12=7, Resulting Numbers: [23, 7]
Generated Node #3: [23, 7] from Operation: 19-12=7
Current State: 30:[23, 7], Operations: ['90-67=23', '19-12=7']
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[90, 67, 12, 19], Operations: []
Exploring Operation: 67-19=48, Resulting Numbers: [90, 12, 48]
Generated Node #0,0: 30:[90, 12, 48] Operation: 67-19=48
Exploring Operation: 90-19=71, Resulting Numbers: [67, 12, 71]
Generated Node #0,1: 30:[67, 12, 71] Operation: 90-19=71
Exploring Operation: 90-67=23, Resulting Numbers: [12, 19, 23]
Generated Node #0,2: 30:[12, 19, 23] Operation: 90-67=23
Moving to Node #0,2
Current State: 30:[12, 19, 23], Operations: ['90-67=23']
Exploring Operation: 12+19=31, Resulting Numbers: [23, 31]
Generated Node #0,2,0: 30:[23, 31] Operation: 12+19=31
Exploring Operation: 23-19=4, Resulting Numbers: [12, 4]
Generated Node #0,2,1: 30:[12, 4] Operation: 23-19=4
Exploring Operation: 23-12=11, Resulting Numbers: [19, 11]
Generated Node #0,2,2: 30:[19, 11] Operation: 23-12=11
Moving to Node #0,0
Current State: 30:[90, 12, 48], Operations: ['67-19=48']
Exploring Operation: 48/12=4, Resulting Numbers: [90, 4]
Generated Node #0,0,0: 30:[90, 4] Operation: 48/12=4
Exploring Operation: 90-12=78, Resulting Numbers: [48, 78]
Generated Node #0,0,1: 30:[48, 78] Operation: 90-12=78
Exploring Operation: 90-48=42, Resulting Numbers: [12, 42]
Generated Node #0,0,2: 30:[12, 42] Operation: 90-48=42
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 30:[12, 42], Operations: ['67-19=48', '90-48=42']
Exploring Operation: 12+42=54, Resulting Numbers: [54]
54,30 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[90, 67, 12, 19], Operations: []
Exploring Operation: 67-19=48, Resulting Numbers: [90, 12, 48]
Generated Node #0,0: 30:[90, 12, 48] Operation: 67-19=48
Moving to Node #0,0
Current State: 30:[90, 12, 48], Operations: ['67-19=48']
Exploring Operation: 90-48=42, Resulting Numbers: [12, 42]
Generated Node #0,0,2: 30:[12, 42] Operation: 90-48=42
Moving to Node #0,0,2
Current State: 30:[12, 42], Operations: ['67-19=48', '90-48=42']
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
39,
93,
52,
23
] | 25 | [
"93-39=54",
"52-23=29",
"54-29=25"
] | Current State: 25:[39, 93, 52, 23], Operations: []
Exploring Operation: 93-39=54, Resulting Numbers: [52, 23, 54]
Generated Node #2: [52, 23, 54] from Operation: 93-39=54
Current State: 25:[52, 23, 54], Operations: ['93-39=54']
Exploring Operation: 52-23=29, Resulting Numbers: [54, 29]
Generated Node #3: [54, 29] from Operation: 52-23=29
Current State: 25:[54, 29], Operations: ['93-39=54', '52-23=29']
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[39, 93, 52, 23], Operations: []
Exploring Operation: 93-52=41, Resulting Numbers: [39, 23, 41]
Generated Node #0,0: 25:[39, 23, 41] Operation: 93-52=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[39, 23, 41], Operations: ['93-52=41']
Exploring Operation: 41-39=2, Resulting Numbers: [23, 2]
Generated Node #0,0,0: 25:[23, 2] Operation: 41-39=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[23, 2], Operations: ['93-52=41', '41-39=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[39, 93, 52, 23], Operations: []
Exploring Operation: 93-52=41, Resulting Numbers: [39, 23, 41]
Generated Node #0,0: 25:[39, 23, 41] Operation: 93-52=41
Moving to Node #0,0
Current State: 25:[39, 23, 41], Operations: ['93-52=41']
Exploring Operation: 41-39=2, Resulting Numbers: [23, 2]
Generated Node #0,0,0: 25:[23, 2] Operation: 41-39=2
Moving to Node #0,0,0
Current State: 25:[23, 2], Operations: ['93-52=41', '41-39=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
20,
60,
80,
46
] | 31 | [
"20*60=1200",
"1200/80=15",
"46-15=31"
] | Current State: 31:[20, 60, 80, 46], Operations: []
Exploring Operation: 20*60=1200, Resulting Numbers: [80, 46, 1200]
Generated Node #2: [80, 46, 1200] from Operation: 20*60=1200
Current State: 31:[80, 46, 1200], Operations: ['20*60=1200']
Exploring Operation: 1200/80=15, Resulting Numbers: [46, 15]
Generated Node #3: [46, 15] from Operation: 1200/80=15
Current State: 31:[46, 15], Operations: ['20*60=1200', '1200/80=15']
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[20, 60, 80, 46], Operations: []
Exploring Operation: 80-46=34, Resulting Numbers: [20, 60, 34]
Generated Node #0,0: 31:[20, 60, 34] Operation: 80-46=34
Exploring Operation: 80-60=20, Resulting Numbers: [20, 46, 20]
Generated Node #0,1: 31:[20, 46, 20] Operation: 80-60=20
Exploring Operation: 80/20=4, Resulting Numbers: [60, 46, 4]
Generated Node #0,2: 31:[60, 46, 4] Operation: 80/20=4
Moving to Node #0,1
Current State: 31:[20, 46, 20], Operations: ['80-60=20']
Exploring Operation: 20+20=40, Resulting Numbers: [46, 40]
Generated Node #0,1,0: 31:[46, 40] Operation: 20+20=40
Exploring Operation: 46-20=26, Resulting Numbers: [20, 26]
Generated Node #0,1,1: 31:[20, 26] Operation: 46-20=26
Exploring Operation: 46-20=26, Resulting Numbers: [20, 26]
Generated Node #0,1,2: 31:[20, 26] Operation: 46-20=26
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 31:[20, 26], Operations: ['80-60=20', '46-20=26']
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,31 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,31 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 #0,1,2
Current State: 31:[20, 26], Operations: ['80-60=20', '46-20=26']
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,31 unequal: No Solution
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,31 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,31 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 #0,1,0
Current State: 31:[46, 40], Operations: ['80-60=20', '20+20=40']
Exploring Operation: 46*40=1840, Resulting Numbers: [1840]
1840,31 unequal: No Solution
Exploring Operation: 46+40=86, Resulting Numbers: [86]
86,31 unequal: No Solution
Exploring Operation: 46-40=6, Resulting Numbers: [6]
6,31 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: 31:[20, 60, 34], Operations: ['80-46=34']
Exploring Operation: 60-20=40, Resulting Numbers: [34, 40]
Generated Node #0,0,0: 31:[34, 40] Operation: 60-20=40
Exploring Operation: 60/20=3, Resulting Numbers: [34, 3]
Generated Node #0,0,1: 31:[34, 3] Operation: 60/20=3
Exploring Operation: 60-34=26, Resulting Numbers: [20, 26]
Generated Node #0,0,2: 31:[20, 26] Operation: 60-34=26
Moving to Node #0,2
Current State: 31:[60, 46, 4], Operations: ['80/20=4']
Exploring Operation: 46-4=42, Resulting Numbers: [60, 42]
Generated Node #0,2,0: 31:[60, 42] Operation: 46-4=42
Exploring Operation: 60/4=15, Resulting Numbers: [46, 15]
Generated Node #0,2,1: 31:[46, 15] Operation: 60/4=15
Exploring Operation: 60-4=56, Resulting Numbers: [46, 56]
Generated Node #0,2,2: 31:[46, 56] Operation: 60-4=56
Moving to Node #0,0,0
Current State: 31:[34, 40], Operations: ['80-46=34', '60-20=40']
Exploring Operation: 34+40=74, Resulting Numbers: [74]
74,31 unequal: No Solution
Exploring Operation: 34*40=1360, Resulting Numbers: [1360]
1360,31 unequal: No Solution
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[20, 26], Operations: ['80-46=34', '60-34=26']
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,31 unequal: No Solution
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,31 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[34, 3], Operations: ['80-46=34', '60/20=3']
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,31 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[20, 60, 80, 46], Operations: []
Exploring Operation: 80-46=34, Resulting Numbers: [20, 60, 34]
Generated Node #0,0: 31:[20, 60, 34] Operation: 80-46=34
Moving to Node #0,0
Current State: 31:[20, 60, 34], Operations: ['80-46=34']
Exploring Operation: 60/20=3, Resulting Numbers: [34, 3]
Generated Node #0,0,1: 31:[34, 3] Operation: 60/20=3
Moving to Node #0,0,1
Current State: 31:[34, 3], Operations: ['80-46=34', '60/20=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 0.971354 | hs_3 | mult_heuristic |
[
6,
87,
99,
3
] | 52 | [
"6+99=105",
"105/3=35",
"87-35=52"
] | Current State: 52:[6, 87, 99, 3], Operations: []
Exploring Operation: 6+99=105, Resulting Numbers: [87, 3, 105]
Generated Node #2: [87, 3, 105] from Operation: 6+99=105
Current State: 52:[87, 3, 105], Operations: ['6+99=105']
Exploring Operation: 105/3=35, Resulting Numbers: [87, 35]
Generated Node #3: [87, 35] from Operation: 105/3=35
Current State: 52:[87, 35], Operations: ['6+99=105', '105/3=35']
Exploring Operation: 87-35=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[6, 87, 99, 3], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [6, 87, 33]
Generated Node #0,0: 52:[6, 87, 33] Operation: 99/3=33
Exploring Operation: 87-6=81, Resulting Numbers: [99, 3, 81]
Generated Node #0,1: 52:[99, 3, 81] Operation: 87-6=81
Exploring Operation: 87/3=29, Resulting Numbers: [6, 99, 29]
Generated Node #0,2: 52:[6, 99, 29] Operation: 87/3=29
Exploring Operation: 99-87=12, Resulting Numbers: [6, 3, 12]
Generated Node #0,3: 52:[6, 3, 12] Operation: 99-87=12
Moving to Node #0,3
Current State: 52:[6, 3, 12], Operations: ['99-87=12']
Exploring Operation: 6-3=3, Resulting Numbers: [12, 3]
Generated Node #0,3,0: 52:[12, 3] Operation: 6-3=3
Exploring Operation: 6/3=2, Resulting Numbers: [12, 2]
Generated Node #0,3,1: 52:[12, 2] Operation: 6/3=2
Exploring Operation: 12/3=4, Resulting Numbers: [6, 4]
Generated Node #0,3,2: 52:[6, 4] Operation: 12/3=4
Exploring Operation: 12/6=2, Resulting Numbers: [3, 2]
Generated Node #0,3,3: 52:[3, 2] Operation: 12/6=2
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 52:[12, 2], Operations: ['99-87=12', '6/3=2']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 52:[3, 2], Operations: ['99-87=12', '12/6=2']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 52:[12, 3], Operations: ['99-87=12', '6-3=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,52 unequal: No Solution
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 52:[6, 4], Operations: ['99-87=12', '12/3=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,52 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: 52:[6, 87, 33], Operations: ['99/3=33']
Exploring Operation: 87-33=54, Resulting Numbers: [6, 54]
Generated Node #0,0,0: 52:[6, 54] Operation: 87-33=54
Exploring Operation: 6+87=93, Resulting Numbers: [33, 93]
Generated Node #0,0,1: 52:[33, 93] Operation: 6+87=93
Exploring Operation: 87-6=81, Resulting Numbers: [33, 81]
Generated Node #0,0,2: 52:[33, 81] Operation: 87-6=81
Exploring Operation: 33-6=27, Resulting Numbers: [87, 27]
Generated Node #0,0,3: 52:[87, 27] Operation: 33-6=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[6, 54], Operations: ['99/3=33', '87-33=54']
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 6*54=324, Resulting Numbers: [324]
324,52 unequal: No Solution
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 6+54=60, Resulting Numbers: [60]
60,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 52:[33, 81], Operations: ['99/3=33', '87-6=81']
Exploring Operation: 33*81=2673, Resulting Numbers: [2673]
2673,52 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 33+81=114, Resulting Numbers: [114]
114,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 52:[87, 27], Operations: ['99/3=33', '33-6=27']
Exploring Operation: 87*27=2349, Resulting Numbers: [2349]
2349,52 unequal: No Solution
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,52 unequal: No Solution
Exploring Operation: 87+27=114, Resulting Numbers: [114]
114,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[33, 93], Operations: ['99/3=33', '6+87=93']
Exploring Operation: 93-33=60, Resulting Numbers: [60]
60,52 unequal: No Solution
Exploring Operation: 33*93=3069, Resulting Numbers: [3069]
3069,52 unequal: No Solution
Exploring Operation: 33+93=126, Resulting Numbers: [126]
126,52 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: 52:[6, 99, 29], Operations: ['87/3=29']
Exploring Operation: 99-29=70, Resulting Numbers: [6, 70]
Generated Node #0,2,0: 52:[6, 70] Operation: 99-29=70
Exploring Operation: 29-6=23, Resulting Numbers: [99, 23]
Generated Node #0,2,1: 52:[99, 23] Operation: 29-6=23
Exploring Operation: 99-6=93, Resulting Numbers: [29, 93]
Generated Node #0,2,2: 52:[29, 93] Operation: 99-6=93
Exploring Operation: 6+99=105, Resulting Numbers: [29, 105]
Generated Node #0,2,3: 52:[29, 105] Operation: 6+99=105
Moving to Node #0,1
Current State: 52:[99, 3, 81], Operations: ['87-6=81']
Exploring Operation: 99-81=18, Resulting Numbers: [3, 18]
Generated Node #0,1,0: 52:[3, 18] Operation: 99-81=18
Exploring Operation: 99/3=33, Resulting Numbers: [81, 33]
Generated Node #0,1,1: 52:[81, 33] Operation: 99/3=33
Exploring Operation: 99-3=96, Resulting Numbers: [81, 96]
Generated Node #0,1,2: 52:[81, 96] Operation: 99-3=96
Exploring Operation: 81/3=27, Resulting Numbers: [99, 27]
Generated Node #0,1,3: 52:[99, 27] Operation: 81/3=27
Moving to Node #0,1,0
Current State: 52:[3, 18], Operations: ['87-6=81', '99-81=18']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,52 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[6, 70], Operations: ['87/3=29', '99-29=70']
Exploring Operation: 6*70=420, Resulting Numbers: [420]
420,52 unequal: No Solution
Exploring Operation: 6+70=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[81, 33], Operations: ['87-6=81', '99/3=33']
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 81*33=2673, Resulting Numbers: [2673]
2673,52 unequal: No Solution
Exploring Operation: 81+33=114, Resulting Numbers: [114]
114,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[29, 93], Operations: ['87/3=29', '99-6=93']
Exploring Operation: 93-29=64, Resulting Numbers: [64]
64,52 unequal: No Solution
Exploring Operation: 29*93=2697, Resulting Numbers: [2697]
2697,52 unequal: No Solution
Exploring Operation: 29+93=122, Resulting Numbers: [122]
122,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[99, 27], Operations: ['87-6=81', '81/3=27']
Exploring Operation: 99+27=126, Resulting Numbers: [126]
126,52 unequal: No Solution
Exploring Operation: 99-27=72, Resulting Numbers: [72]
72,52 unequal: No Solution
Exploring Operation: 99*27=2673, Resulting Numbers: [2673]
2673,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[99, 23], Operations: ['87/3=29', '29-6=23']
Exploring Operation: 99-23=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 99*23=2277, Resulting Numbers: [2277]
2277,52 unequal: No Solution
Exploring Operation: 99+23=122, Resulting Numbers: [122]
122,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[29, 105], Operations: ['87/3=29', '6+99=105']
Exploring Operation: 29+105=134, Resulting Numbers: [134]
134,52 unequal: No Solution
Exploring Operation: 105-29=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 29*105=3045, Resulting Numbers: [3045]
3045,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[81, 96], Operations: ['87-6=81', '99-3=96']
Exploring Operation: 96-81=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Exploring Operation: 81*96=7776, Resulting Numbers: [7776]
7776,52 unequal: No Solution
Exploring Operation: 81+96=177, Resulting Numbers: [177]
177,52 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
58,
20,
48,
38
] | 19 | [
"58-48=10",
"20/10=2",
"38/2=19"
] | Current State: 19:[58, 20, 48, 38], Operations: []
Exploring Operation: 58-48=10, Resulting Numbers: [20, 38, 10]
Generated Node #2: [20, 38, 10] from Operation: 58-48=10
Current State: 19:[20, 38, 10], Operations: ['58-48=10']
Exploring Operation: 20/10=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 20/10=2
Current State: 19:[38, 2], Operations: ['58-48=10', '20/10=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[58, 20, 48, 38], Operations: []
Exploring Operation: 58-38=20, Resulting Numbers: [20, 48, 20]
Generated Node #0,0: 19:[20, 48, 20] Operation: 58-38=20
Exploring Operation: 48-38=10, Resulting Numbers: [58, 20, 10]
Generated Node #0,1: 19:[58, 20, 10] Operation: 48-38=10
Exploring Operation: 58-48=10, Resulting Numbers: [20, 38, 10]
Generated Node #0,2: 19:[20, 38, 10] Operation: 58-48=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[20, 38, 10], Operations: ['58-48=10']
Exploring Operation: 38-20=18, Resulting Numbers: [10, 18]
Generated Node #0,2,0: 19:[10, 18] Operation: 38-20=18
Exploring Operation: 20-10=10, Resulting Numbers: [38, 10]
Generated Node #0,2,1: 19:[38, 10] Operation: 20-10=10
Exploring Operation: 38-10=28, Resulting Numbers: [20, 28]
Generated Node #0,2,2: 19:[20, 28] Operation: 38-10=28
Moving to Node #0,2,0
Current State: 19:[10, 18], Operations: ['58-48=10', '38-20=18']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,19 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[20, 28], Operations: ['58-48=10', '38-10=28']
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,19 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[38, 10], Operations: ['58-48=10', '20-10=10']
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 38*10=380, Resulting Numbers: [380]
380,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[20, 48, 20], Operations: ['58-38=20']
Exploring Operation: 48-20=28, Resulting Numbers: [20, 28]
Generated Node #0,0,0: 19:[20, 28] Operation: 48-20=28
Exploring Operation: 20/20=1, Resulting Numbers: [48, 1]
Generated Node #0,0,1: 19:[48, 1] Operation: 20/20=1
Exploring Operation: 48-20=28, Resulting Numbers: [20, 28]
Generated Node #0,0,2: 19:[20, 28] Operation: 48-20=28
Moving to Node #0,0,0
Current State: 19:[20, 28], Operations: ['58-38=20', '48-20=28']
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,19 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[20, 28], Operations: ['58-38=20', '48-20=28']
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,19 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[48, 1], Operations: ['58-38=20', '20/20=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[58, 20, 10], Operations: ['48-38=10']
Exploring Operation: 20-10=10, Resulting Numbers: [58, 10]
Generated Node #0,1,0: 19:[58, 10] Operation: 20-10=10
Exploring Operation: 58-20=38, Resulting Numbers: [10, 38]
Generated Node #0,1,1: 19:[10, 38] Operation: 58-20=38
Exploring Operation: 58-10=48, Resulting Numbers: [20, 48]
Generated Node #0,1,2: 19:[20, 48] Operation: 58-10=48
Moving to Node #0,1,1
Current State: 19:[10, 38], Operations: ['48-38=10', '58-20=38']
Exploring Operation: 10+38=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 10*38=380, Resulting Numbers: [380]
380,19 unequal: No Solution
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[20, 48], Operations: ['48-38=10', '58-10=48']
Exploring Operation: 20*48=960, Resulting Numbers: [960]
960,19 unequal: No Solution
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,19 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[58, 10], Operations: ['48-38=10', '20-10=10']
Exploring Operation: 58*10=580, Resulting Numbers: [580]
580,19 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,19 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 |
[
22,
14,
11,
77
] | 74 | [
"22-14=8",
"77-11=66",
"8+66=74"
] | Current State: 74:[22, 14, 11, 77], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [11, 77, 8]
Generated Node #2: [11, 77, 8] from Operation: 22-14=8
Current State: 74:[11, 77, 8], Operations: ['22-14=8']
Exploring Operation: 77-11=66, Resulting Numbers: [8, 66]
Generated Node #3: [8, 66] from Operation: 77-11=66
Current State: 74:[8, 66], Operations: ['22-14=8', '77-11=66']
Exploring Operation: 8+66=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[22, 14, 11, 77], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [14, 77, 2]
Generated Node #0,0: 74:[14, 77, 2] Operation: 22/11=2
Exploring Operation: 22+14=36, Resulting Numbers: [11, 77, 36]
Generated Node #0,1: 74:[11, 77, 36] Operation: 22+14=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[11, 77, 36], Operations: ['22+14=36']
Exploring Operation: 77-11=66, Resulting Numbers: [36, 66]
Generated Node #0,1,0: 74:[36, 66] Operation: 77-11=66
Exploring Operation: 77/11=7, Resulting Numbers: [36, 7]
Generated Node #0,1,1: 74:[36, 7] Operation: 77/11=7
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[36, 7], Operations: ['22+14=36', '77/11=7']
Exploring Operation: 36+7=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 74:[36, 66], Operations: ['22+14=36', '77-11=66']
Exploring Operation: 36+66=102, Resulting Numbers: [102]
102,74 unequal: No Solution
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[14, 77, 2], Operations: ['22/11=2']
Exploring Operation: 77-14=63, Resulting Numbers: [2, 63]
Generated Node #0,0,0: 74:[2, 63] Operation: 77-14=63
Exploring Operation: 14/2=7, Resulting Numbers: [77, 7]
Generated Node #0,0,1: 74:[77, 7] Operation: 14/2=7
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[77, 7], Operations: ['22/11=2', '14/2=7']
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,74 unequal: No Solution
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[2, 63], Operations: ['22/11=2', '77-14=63']
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
98,
42,
21,
42
] | 77 | [
"98+42=140",
"21+42=63",
"140-63=77"
] | Current State: 77:[98, 42, 21, 42], Operations: []
Exploring Operation: 98+42=140, Resulting Numbers: [21, 140]
Generated Node #2: [21, 140] from Operation: 98+42=140
Current State: 77:[21, 140], Operations: ['98+42=140']
Exploring Operation: 21+42=63, Resulting Numbers: [140, 63]
Generated Node #3: [140, 63] from Operation: 21+42=63
Current State: 77:[140, 63], Operations: ['98+42=140', '21+42=63']
Exploring Operation: 140-63=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[98, 42, 21, 42], Operations: []
Exploring Operation: 42/42=1, Resulting Numbers: [98, 21, 1]
Generated Node #0,0: 77:[98, 21, 1] Operation: 42/42=1
Exploring Operation: 42/21=2, Resulting Numbers: [98, 42, 2]
Generated Node #0,1: 77:[98, 42, 2] Operation: 42/21=2
Exploring Operation: 42-42=0, Resulting Numbers: [98, 21, 0]
Generated Node #0,2: 77:[98, 21, 0] Operation: 42-42=0
Exploring Operation: 42+42=84, Resulting Numbers: [98, 21, 84]
Generated Node #0,3: 77:[98, 21, 84] Operation: 42+42=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[98, 21, 1], Operations: ['42/42=1']
Exploring Operation: 98*1=98, Resulting Numbers: [21, 98]
Generated Node #0,0,0: 77:[21, 98] Operation: 98*1=98
Exploring Operation: 21-1=20, Resulting Numbers: [98, 20]
Generated Node #0,0,1: 77:[98, 20] Operation: 21-1=20
Exploring Operation: 98-1=97, Resulting Numbers: [21, 97]
Generated Node #0,0,2: 77:[21, 97] Operation: 98-1=97
Exploring Operation: 98-21=77, Resulting Numbers: [1, 77]
Generated Node #0,0,3: 77:[1, 77] Operation: 98-21=77
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 77:[1, 77], Operations: ['42/42=1', '98-21=77']
Exploring Operation: 1+77=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Exploring Operation: 1*77=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[98, 42, 21, 42], Operations: []
Exploring Operation: 42/42=1, Resulting Numbers: [98, 21, 1]
Generated Node #0,0: 77:[98, 21, 1] Operation: 42/42=1
Moving to Node #0,0
Current State: 77:[98, 21, 1], Operations: ['42/42=1']
Exploring Operation: 98-21=77, Resulting Numbers: [1, 77]
Generated Node #0,0,3: 77:[1, 77] Operation: 98-21=77
Moving to Node #0,0,3
Current State: 77:[1, 77], Operations: ['42/42=1', '98-21=77']
Exploring Operation: 1*77=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
93,
86,
6,
29
] | 42 | [
"93-86=7",
"6+29=35",
"7+35=42"
] | Current State: 42:[93, 86, 6, 29], Operations: []
Exploring Operation: 93-86=7, Resulting Numbers: [6, 29, 7]
Generated Node #2: [6, 29, 7] from Operation: 93-86=7
Current State: 42:[6, 29, 7], Operations: ['93-86=7']
Exploring Operation: 6+29=35, Resulting Numbers: [7, 35]
Generated Node #3: [7, 35] from Operation: 6+29=35
Current State: 42:[7, 35], Operations: ['93-86=7', '6+29=35']
Exploring Operation: 7+35=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[93, 86, 6, 29], Operations: []
Exploring Operation: 93-29=64, Resulting Numbers: [86, 6, 64]
Generated Node #0,0: 42:[86, 6, 64] Operation: 93-29=64
Exploring Operation: 93-86=7, Resulting Numbers: [6, 29, 7]
Generated Node #0,1: 42:[6, 29, 7] Operation: 93-86=7
Moving to Node #0,1
Current State: 42:[6, 29, 7], Operations: ['93-86=7']
Exploring Operation: 29-7=22, Resulting Numbers: [6, 22]
Generated Node #0,1,0: 42:[6, 22] Operation: 29-7=22
Exploring Operation: 29-6=23, Resulting Numbers: [7, 23]
Generated Node #0,1,1: 42:[7, 23] Operation: 29-6=23
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[6, 22], Operations: ['93-86=7', '29-7=22']
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[7, 23], Operations: ['93-86=7', '29-6=23']
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,42 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,42 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: 42:[86, 6, 64], Operations: ['93-29=64']
Exploring Operation: 86-6=80, Resulting Numbers: [64, 80]
Generated Node #0,0,0: 42:[64, 80] Operation: 86-6=80
Exploring Operation: 86-64=22, Resulting Numbers: [6, 22]
Generated Node #0,0,1: 42:[6, 22] Operation: 86-64=22
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 42:[6, 22], Operations: ['93-29=64', '86-64=22']
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[64, 80], Operations: ['93-29=64', '86-6=80']
Exploring Operation: 64+80=144, Resulting Numbers: [144]
144,42 unequal: No Solution
Exploring Operation: 80-64=16, Resulting Numbers: [16]
16,42 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 |
[
42,
32,
42,
4
] | 96 | [
"42/42=1",
"4-1=3",
"32*3=96"
] | Current State: 96:[42, 32, 42, 4], Operations: []
Exploring Operation: 42/42=1, Resulting Numbers: [32, 4, 1]
Generated Node #2: [32, 4, 1] from Operation: 42/42=1
Current State: 96:[32, 4, 1], Operations: ['42/42=1']
Exploring Operation: 4-1=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 4-1=3
Current State: 96:[32, 3], Operations: ['42/42=1', '4-1=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[42, 32, 42, 4], Operations: []
Exploring Operation: 42/42=1, Resulting Numbers: [32, 4, 1]
Generated Node #0,0: 96:[32, 4, 1] Operation: 42/42=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[32, 4, 1], Operations: ['42/42=1']
Exploring Operation: 32*1=32, Resulting Numbers: [4, 32]
Generated Node #0,0,0: 96:[4, 32] Operation: 32*1=32
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[4, 32], Operations: ['42/42=1', '32*1=32']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,96 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 |
[
33,
41,
85,
8
] | 85 | [
"41-33=8",
"85+8=93",
"93-8=85"
] | Current State: 85:[33, 41, 85, 8], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [85, 8, 8]
Generated Node #2: [85, 8, 8] from Operation: 41-33=8
Current State: 85:[85, 8, 8], Operations: ['41-33=8']
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,85 equal: Goal Reached
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[33, 41, 85, 8], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [85, 8, 8]
Generated Node #0,0: 85:[85, 8, 8] Operation: 41-33=8
Exploring Operation: 33-8=25, Resulting Numbers: [41, 85, 25]
Generated Node #0,1: 85:[41, 85, 25] Operation: 33-8=25
Exploring Operation: 33+41=74, Resulting Numbers: [85, 8, 74]
Generated Node #0,2: 85:[85, 8, 74] Operation: 33+41=74
Exploring Operation: 41-8=33, Resulting Numbers: [33, 85, 33]
Generated Node #0,3: 85:[33, 85, 33] Operation: 41-8=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[85, 8, 8], Operations: ['41-33=8']
Exploring Operation: 8/8=1, Resulting Numbers: [85, 1]
Generated Node #0,0,0: 85:[85, 1] Operation: 8/8=1
Exploring Operation: 85+8=93, Resulting Numbers: [8, 93]
Generated Node #0,0,1: 85:[8, 93] Operation: 85+8=93
Exploring Operation: 8+8=16, Resulting Numbers: [85, 16]
Generated Node #0,0,2: 85:[85, 16] Operation: 8+8=16
Exploring Operation: 8-8=0, Resulting Numbers: [85, 0]
Generated Node #0,0,3: 85:[85, 0] Operation: 8-8=0
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 85:[85, 16], Operations: ['41-33=8', '8+8=16']
Exploring Operation: 85-16=69, Resulting Numbers: [69]
69,85 unequal: No Solution
Exploring Operation: 85*16=1360, Resulting Numbers: [1360]
1360,85 unequal: No Solution
Exploring Operation: 85+16=101, Resulting Numbers: [101]
101,85 unequal: No Solution
No 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: 85:[85, 1], Operations: ['41-33=8', '8/8=1']
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[33, 41, 85, 8], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [85, 8, 8]
Generated Node #0,0: 85:[85, 8, 8] Operation: 41-33=8
Moving to Node #0,0
Current State: 85:[85, 8, 8], Operations: ['41-33=8']
Exploring Operation: 8/8=1, Resulting Numbers: [85, 1]
Generated Node #0,0,0: 85:[85, 1] Operation: 8/8=1
Moving to Node #0,0,0
Current State: 85:[85, 1], Operations: ['41-33=8', '8/8=1']
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
11,
78,
36,
41
] | 23 | [
"41-36=5",
"11*5=55",
"78-55=23"
] | Current State: 23:[11, 78, 36, 41], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [11, 78, 5]
Generated Node #2: [11, 78, 5] from Operation: 41-36=5
Current State: 23:[11, 78, 5], Operations: ['41-36=5']
Exploring Operation: 11*5=55, Resulting Numbers: [78, 55]
Generated Node #3: [78, 55] from Operation: 11*5=55
Current State: 23:[78, 55], Operations: ['41-36=5', '11*5=55']
Exploring Operation: 78-55=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[11, 78, 36, 41], Operations: []
Exploring Operation: 78-36=42, Resulting Numbers: [11, 41, 42]
Generated Node #0,0: 23:[11, 41, 42] Operation: 78-36=42
Exploring Operation: 78-11=67, Resulting Numbers: [36, 41, 67]
Generated Node #0,1: 23:[36, 41, 67] Operation: 78-11=67
Exploring Operation: 36-11=25, Resulting Numbers: [78, 41, 25]
Generated Node #0,2: 23:[78, 41, 25] Operation: 36-11=25
Exploring Operation: 78-41=37, Resulting Numbers: [11, 36, 37]
Generated Node #0,3: 23:[11, 36, 37] Operation: 78-41=37
Start Sub Search at level 1: Moving to Node #0,3
Current State: 23:[11, 36, 37], Operations: ['78-41=37']
Exploring Operation: 11+36=47, Resulting Numbers: [37, 47]
Generated Node #0,3,0: 23:[37, 47] Operation: 11+36=47
Exploring Operation: 37-11=26, Resulting Numbers: [36, 26]
Generated Node #0,3,1: 23:[36, 26] Operation: 37-11=26
Exploring Operation: 37-36=1, Resulting Numbers: [11, 1]
Generated Node #0,3,2: 23:[11, 1] Operation: 37-36=1
Exploring Operation: 36-11=25, Resulting Numbers: [37, 25]
Generated Node #0,3,3: 23:[37, 25] Operation: 36-11=25
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 23:[36, 26], Operations: ['78-41=37', '37-11=26']
Exploring Operation: 36+26=62, Resulting Numbers: [62]
62,23 unequal: No Solution
Exploring Operation: 36*26=936, Resulting Numbers: [936]
936,23 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,23 unequal: No Solution
No 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: 23:[37, 25], Operations: ['78-41=37', '36-11=25']
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 37*25=925, Resulting Numbers: [925]
925,23 unequal: No Solution
Exploring Operation: 37+25=62, Resulting Numbers: [62]
62,23 unequal: No Solution
No 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: 23:[11, 1], Operations: ['78-41=37', '37-36=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,23 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,23 unequal: No Solution
No 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: 23:[37, 47], Operations: ['78-41=37', '11+36=47']
Exploring Operation: 37*47=1739, Resulting Numbers: [1739]
1739,23 unequal: No Solution
Exploring Operation: 37+47=84, Resulting Numbers: [84]
84,23 unequal: No Solution
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,23 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: 23:[11, 41, 42], Operations: ['78-36=42']
Exploring Operation: 11+41=52, Resulting Numbers: [42, 52]
Generated Node #0,0,0: 23:[42, 52] Operation: 11+41=52
Exploring Operation: 41-11=30, Resulting Numbers: [42, 30]
Generated Node #0,0,1: 23:[42, 30] Operation: 41-11=30
Exploring Operation: 42-11=31, Resulting Numbers: [41, 31]
Generated Node #0,0,2: 23:[41, 31] Operation: 42-11=31
Exploring Operation: 42-41=1, Resulting Numbers: [11, 1]
Generated Node #0,0,3: 23:[11, 1] Operation: 42-41=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 23:[42, 30], Operations: ['78-36=42', '41-11=30']
Exploring Operation: 42+30=72, Resulting Numbers: [72]
72,23 unequal: No Solution
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 42*30=1260, Resulting Numbers: [1260]
1260,23 unequal: No Solution
No 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: 23:[41, 31], Operations: ['78-36=42', '42-11=31']
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 41*31=1271, Resulting Numbers: [1271]
1271,23 unequal: No Solution
Exploring Operation: 41+31=72, Resulting Numbers: [72]
72,23 unequal: No Solution
No 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: 23:[11, 1], Operations: ['78-36=42', '42-41=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,23 unequal: No Solution
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,23 unequal: No Solution
No 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: 23:[42, 52], Operations: ['78-36=42', '11+41=52']
Exploring Operation: 42*52=2184, Resulting Numbers: [2184]
2184,23 unequal: No Solution
Exploring Operation: 42+52=94, Resulting Numbers: [94]
94,23 unequal: No Solution
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,23 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: 23:[36, 41, 67], Operations: ['78-11=67']
Exploring Operation: 36+41=77, Resulting Numbers: [67, 77]
Generated Node #0,1,0: 23:[67, 77] Operation: 36+41=77
Exploring Operation: 41-36=5, Resulting Numbers: [67, 5]
Generated Node #0,1,1: 23:[67, 5] Operation: 41-36=5
Exploring Operation: 67-36=31, Resulting Numbers: [41, 31]
Generated Node #0,1,2: 23:[41, 31] Operation: 67-36=31
Exploring Operation: 67-41=26, Resulting Numbers: [36, 26]
Generated Node #0,1,3: 23:[36, 26] Operation: 67-41=26
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 23:[36, 26], Operations: ['78-11=67', '67-41=26']
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 36*26=936, Resulting Numbers: [936]
936,23 unequal: No Solution
Exploring Operation: 36+26=62, Resulting Numbers: [62]
62,23 unequal: No Solution
No 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: 23:[41, 31], Operations: ['78-11=67', '67-36=31']
Exploring Operation: 41*31=1271, Resulting Numbers: [1271]
1271,23 unequal: No Solution
Exploring Operation: 41+31=72, Resulting Numbers: [72]
72,23 unequal: No Solution
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,23 unequal: No Solution
No 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: 23:[67, 5], Operations: ['78-11=67', '41-36=5']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,23 unequal: No Solution
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,23 unequal: No Solution
Exploring Operation: 67*5=335, Resulting Numbers: [335]
335,23 unequal: No Solution
No 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: 23:[67, 77], Operations: ['78-11=67', '36+41=77']
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 67*77=5159, Resulting Numbers: [5159]
5159,23 unequal: No Solution
Exploring Operation: 67+77=144, Resulting Numbers: [144]
144,23 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: 23:[78, 41, 25], Operations: ['36-11=25']
Exploring Operation: 41-25=16, Resulting Numbers: [78, 16]
Generated Node #0,2,0: 23:[78, 16] Operation: 41-25=16
Exploring Operation: 78-41=37, Resulting Numbers: [25, 37]
Generated Node #0,2,1: 23:[25, 37] Operation: 78-41=37
Exploring Operation: 78+41=119, Resulting Numbers: [25, 119]
Generated Node #0,2,2: 23:[25, 119] Operation: 78+41=119
Exploring Operation: 78-25=53, Resulting Numbers: [41, 53]
Generated Node #0,2,3: 23:[41, 53] Operation: 78-25=53
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 23:[25, 37], Operations: ['36-11=25', '78-41=37']
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,23 unequal: No Solution
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,23 unequal: No Solution
No 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: 23:[41, 53], Operations: ['36-11=25', '78-25=53']
Exploring Operation: 41+53=94, Resulting Numbers: [94]
94,23 unequal: No Solution
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 41*53=2173, Resulting Numbers: [2173]
2173,23 unequal: No Solution
No 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: 23:[78, 16], Operations: ['36-11=25', '41-25=16']
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,23 unequal: No Solution
Exploring Operation: 78*16=1248, Resulting Numbers: [1248]
1248,23 unequal: No Solution
Exploring Operation: 78+16=94, Resulting Numbers: [94]
94,23 unequal: No Solution
No 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: 23:[25, 119], Operations: ['36-11=25', '78+41=119']
Exploring Operation: 119-25=94, Resulting Numbers: [94]
94,23 unequal: No Solution
Exploring Operation: 25+119=144, Resulting Numbers: [144]
144,23 unequal: No Solution
Exploring Operation: 25*119=2975, Resulting Numbers: [2975]
2975,23 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 |
[
43,
74,
93,
74
] | 43 | [
"74-74=0",
"93*0=0",
"43+0=43"
] | Current State: 43:[43, 74, 93, 74], Operations: []
Exploring Operation: 74-74=0, Resulting Numbers: [43, 93, 0]
Generated Node #2: [43, 93, 0] from Operation: 74-74=0
Current State: 43:[43, 93, 0], Operations: ['74-74=0']
Exploring Operation: 93*0=0, Resulting Numbers: [43, 0]
Generated Node #3: [43, 0] from Operation: 93*0=0
Current State: 43:[43, 0], Operations: ['74-74=0', '93*0=0']
Exploring Operation: 43+0=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[43, 74, 93, 74], Operations: []
Exploring Operation: 93-43=50, Resulting Numbers: [74, 74, 50]
Generated Node #0,0: 43:[74, 74, 50] Operation: 93-43=50
Exploring Operation: 93-74=19, Resulting Numbers: [43, 74, 19]
Generated Node #0,1: 43:[43, 74, 19] Operation: 93-74=19
Exploring Operation: 93-74=19, Resulting Numbers: [43, 74, 19]
Generated Node #0,2: 43:[43, 74, 19] Operation: 93-74=19
Moving to Node #0,1
Current State: 43:[43, 74, 19], Operations: ['93-74=19']
Exploring Operation: 43+19=62, Resulting Numbers: [74, 62]
Generated Node #0,1,0: 43:[74, 62] Operation: 43+19=62
Exploring Operation: 74-19=55, Resulting Numbers: [43, 55]
Generated Node #0,1,1: 43:[43, 55] Operation: 74-19=55
Exploring Operation: 74-43=31, Resulting Numbers: [19, 31]
Generated Node #0,1,2: 43:[19, 31] Operation: 74-43=31
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 43:[43, 55], Operations: ['93-74=19', '74-19=55']
Exploring Operation: 55-43=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 43*55=2365, Resulting Numbers: [2365]
2365,43 unequal: No Solution
Exploring Operation: 43+55=98, Resulting Numbers: [98]
98,43 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 #0,1,2
Current State: 43:[19, 31], Operations: ['93-74=19', '74-43=31']
Exploring Operation: 19*31=589, Resulting Numbers: [589]
589,43 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 19+31=50, Resulting Numbers: [50]
50,43 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 #0,1,0
Current State: 43:[74, 62], Operations: ['93-74=19', '43+19=62']
Exploring Operation: 74*62=4588, Resulting Numbers: [4588]
4588,43 unequal: No Solution
Exploring Operation: 74+62=136, Resulting Numbers: [136]
136,43 unequal: No Solution
Exploring Operation: 74-62=12, Resulting Numbers: [12]
12,43 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: 43:[43, 74, 19], Operations: ['93-74=19']
Exploring Operation: 74-43=31, Resulting Numbers: [19, 31]
Generated Node #0,2,0: 43:[19, 31] Operation: 74-43=31
Exploring Operation: 74-19=55, Resulting Numbers: [43, 55]
Generated Node #0,2,1: 43:[43, 55] Operation: 74-19=55
Exploring Operation: 43+19=62, Resulting Numbers: [74, 62]
Generated Node #0,2,2: 43:[74, 62] Operation: 43+19=62
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 43:[43, 55], Operations: ['93-74=19', '74-19=55']
Exploring Operation: 43+55=98, Resulting Numbers: [98]
98,43 unequal: No Solution
Exploring Operation: 55-43=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 43*55=2365, Resulting Numbers: [2365]
2365,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 43:[19, 31], Operations: ['93-74=19', '74-43=31']
Exploring Operation: 19+31=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 19*31=589, Resulting Numbers: [589]
589,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 43:[74, 62], Operations: ['93-74=19', '43+19=62']
Exploring Operation: 74+62=136, Resulting Numbers: [136]
136,43 unequal: No Solution
Exploring Operation: 74-62=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 74*62=4588, Resulting Numbers: [4588]
4588,43 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: 43:[74, 74, 50], Operations: ['93-43=50']
Exploring Operation: 74-74=0, Resulting Numbers: [50, 0]
Generated Node #0,0,0: 43:[50, 0] Operation: 74-74=0
Exploring Operation: 74/74=1, Resulting Numbers: [50, 1]
Generated Node #0,0,1: 43:[50, 1] Operation: 74/74=1
Exploring Operation: 74-50=24, Resulting Numbers: [74, 24]
Generated Node #0,0,2: 43:[74, 24] Operation: 74-50=24
Moving to Node #0,0,1
Current State: 43:[50, 1], Operations: ['93-43=50', '74/74=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,43 unequal: No Solution
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[50, 0], Operations: ['93-43=50', '74-74=0']
Exploring Operation: 50+0=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 50-0=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 50*0=0, Resulting Numbers: [0]
0,43 unequal: No Solution
Moving to Node #0,0,2
Current State: 43:[74, 24], Operations: ['93-43=50', '74-50=24']
Exploring Operation: 74*24=1776, Resulting Numbers: [1776]
1776,43 unequal: No Solution
Exploring Operation: 74+24=98, Resulting Numbers: [98]
98,43 unequal: No Solution
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,43 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
24,
52,
79,
4
] | 81 | [
"52-4=48",
"48/24=2",
"79+2=81"
] | Current State: 81:[24, 52, 79, 4], Operations: []
Exploring Operation: 52-4=48, Resulting Numbers: [24, 79, 48]
Generated Node #2: [24, 79, 48] from Operation: 52-4=48
Current State: 81:[24, 79, 48], Operations: ['52-4=48']
Exploring Operation: 48/24=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 48/24=2
Current State: 81:[79, 2], Operations: ['52-4=48', '48/24=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[24, 52, 79, 4], Operations: []
Exploring Operation: 52-24=28, Resulting Numbers: [79, 4, 28]
Generated Node #0,0: 81:[79, 4, 28] Operation: 52-24=28
Exploring Operation: 79-52=27, Resulting Numbers: [24, 4, 27]
Generated Node #0,1: 81:[24, 4, 27] Operation: 79-52=27
Moving to Node #0,0
Current State: 81:[79, 4, 28], Operations: ['52-24=28']
Exploring Operation: 28/4=7, Resulting Numbers: [79, 7]
Generated Node #0,0,0: 81:[79, 7] Operation: 28/4=7
Exploring Operation: 79+4=83, Resulting Numbers: [28, 83]
Generated Node #0,0,1: 81:[28, 83] Operation: 79+4=83
Moving to Node #0,1
Current State: 81:[24, 4, 27], Operations: ['79-52=27']
Exploring Operation: 24+4=28, Resulting Numbers: [27, 28]
Generated Node #0,1,0: 81:[27, 28] Operation: 24+4=28
Exploring Operation: 27-24=3, Resulting Numbers: [4, 3]
Generated Node #0,1,1: 81:[4, 3] Operation: 27-24=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[27, 28], Operations: ['79-52=27', '24+4=28']
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 27+28=55, Resulting Numbers: [55]
55,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[4, 3], Operations: ['79-52=27', '27-24=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,81 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: 81:[28, 83], Operations: ['52-24=28', '79+4=83']
Exploring Operation: 28+83=111, Resulting Numbers: [111]
111,81 unequal: No Solution
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,81 unequal: No Solution
Moving to Node #0,0,0
Current State: 81:[79, 7], Operations: ['52-24=28', '28/4=7']
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,81 unequal: No Solution
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,81 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
75,
9,
86,
87
] | 67 | [
"75-9=66",
"87-86=1",
"66+1=67"
] | Current State: 67:[75, 9, 86, 87], Operations: []
Exploring Operation: 75-9=66, Resulting Numbers: [86, 87, 66]
Generated Node #2: [86, 87, 66] from Operation: 75-9=66
Current State: 67:[86, 87, 66], Operations: ['75-9=66']
Exploring Operation: 87-86=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 87-86=1
Current State: 67:[66, 1], Operations: ['75-9=66', '87-86=1']
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[75, 9, 86, 87], Operations: []
Exploring Operation: 87-9=78, Resulting Numbers: [75, 86, 78]
Generated Node #0,0: 67:[75, 86, 78] Operation: 87-9=78
Exploring Operation: 75-9=66, Resulting Numbers: [86, 87, 66]
Generated Node #0,1: 67:[86, 87, 66] Operation: 75-9=66
Exploring Operation: 75+9=84, Resulting Numbers: [86, 87, 84]
Generated Node #0,2: 67:[86, 87, 84] Operation: 75+9=84
Exploring Operation: 86-9=77, Resulting Numbers: [75, 87, 77]
Generated Node #0,3: 67:[75, 87, 77] Operation: 86-9=77
Moving to Node #0,0
Current State: 67:[75, 86, 78], Operations: ['87-9=78']
Exploring Operation: 86-75=11, Resulting Numbers: [78, 11]
Generated Node #0,0,0: 67:[78, 11] Operation: 86-75=11
Exploring Operation: 75+86=161, Resulting Numbers: [78, 161]
Generated Node #0,0,1: 67:[78, 161] Operation: 75+86=161
Exploring Operation: 78-75=3, Resulting Numbers: [86, 3]
Generated Node #0,0,2: 67:[86, 3] Operation: 78-75=3
Exploring Operation: 86-78=8, Resulting Numbers: [75, 8]
Generated Node #0,0,3: 67:[75, 8] Operation: 86-78=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[78, 11], Operations: ['87-9=78', '86-75=11']
Exploring Operation: 78*11=858, Resulting Numbers: [858]
858,67 unequal: No Solution
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[75, 9, 86, 87], Operations: []
Exploring Operation: 87-9=78, Resulting Numbers: [75, 86, 78]
Generated Node #0,0: 67:[75, 86, 78] Operation: 87-9=78
Moving to Node #0,0
Current State: 67:[75, 86, 78], Operations: ['87-9=78']
Exploring Operation: 86-75=11, Resulting Numbers: [78, 11]
Generated Node #0,0,0: 67:[78, 11] Operation: 86-75=11
Moving to Node #0,0,0
Current State: 67:[78, 11], Operations: ['87-9=78', '86-75=11']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
62,
25,
41,
10
] | 14 | [
"62-25=37",
"41+10=51",
"51-37=14"
] | Current State: 14:[62, 25, 41, 10], Operations: []
Exploring Operation: 62-25=37, Resulting Numbers: [41, 10, 37]
Generated Node #2: [41, 10, 37] from Operation: 62-25=37
Current State: 14:[41, 10, 37], Operations: ['62-25=37']
Exploring Operation: 41+10=51, Resulting Numbers: [37, 51]
Generated Node #3: [37, 51] from Operation: 41+10=51
Current State: 14:[37, 51], Operations: ['62-25=37', '41+10=51']
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[62, 25, 41, 10], Operations: []
Exploring Operation: 41-25=16, Resulting Numbers: [62, 10, 16]
Generated Node #0,0: 14:[62, 10, 16] Operation: 41-25=16
Exploring Operation: 62-25=37, Resulting Numbers: [41, 10, 37]
Generated Node #0,1: 14:[41, 10, 37] Operation: 62-25=37
Exploring Operation: 62-10=52, Resulting Numbers: [25, 41, 52]
Generated Node #0,2: 14:[25, 41, 52] Operation: 62-10=52
Exploring Operation: 62-41=21, Resulting Numbers: [25, 10, 21]
Generated Node #0,3: 14:[25, 10, 21] Operation: 62-41=21
Moving to Node #0,3
Current State: 14:[25, 10, 21], Operations: ['62-41=21']
Exploring Operation: 25-10=15, Resulting Numbers: [21, 15]
Generated Node #0,3,0: 14:[21, 15] Operation: 25-10=15
Exploring Operation: 25-21=4, Resulting Numbers: [10, 4]
Generated Node #0,3,1: 14:[10, 4] Operation: 25-21=4
Exploring Operation: 21-10=11, Resulting Numbers: [25, 11]
Generated Node #0,3,2: 14:[25, 11] Operation: 21-10=11
Exploring Operation: 25+10=35, Resulting Numbers: [21, 35]
Generated Node #0,3,3: 14:[21, 35] Operation: 25+10=35
Moving to Node #0,1
Current State: 14:[41, 10, 37], Operations: ['62-25=37']
Exploring Operation: 37-10=27, Resulting Numbers: [41, 27]
Generated Node #0,1,0: 14:[41, 27] Operation: 37-10=27
Exploring Operation: 41+10=51, Resulting Numbers: [37, 51]
Generated Node #0,1,1: 14:[37, 51] Operation: 41+10=51
Exploring Operation: 41-37=4, Resulting Numbers: [10, 4]
Generated Node #0,1,2: 14:[10, 4] Operation: 41-37=4
Exploring Operation: 41-10=31, Resulting Numbers: [37, 31]
Generated Node #0,1,3: 14:[37, 31] Operation: 41-10=31
Moving to Node #0,0
Current State: 14:[62, 10, 16], Operations: ['41-25=16']
Exploring Operation: 62+10=72, Resulting Numbers: [16, 72]
Generated Node #0,0,0: 14:[16, 72] Operation: 62+10=72
Exploring Operation: 62-16=46, Resulting Numbers: [10, 46]
Generated Node #0,0,1: 14:[10, 46] Operation: 62-16=46
Exploring Operation: 16-10=6, Resulting Numbers: [62, 6]
Generated Node #0,0,2: 14:[62, 6] Operation: 16-10=6
Exploring Operation: 62-10=52, Resulting Numbers: [16, 52]
Generated Node #0,0,3: 14:[16, 52] Operation: 62-10=52
Moving to Node #0,2
Current State: 14:[25, 41, 52], Operations: ['62-10=52']
Exploring Operation: 52-41=11, Resulting Numbers: [25, 11]
Generated Node #0,2,0: 14:[25, 11] Operation: 52-41=11
Exploring Operation: 52-25=27, Resulting Numbers: [41, 27]
Generated Node #0,2,1: 14:[41, 27] Operation: 52-25=27
Exploring Operation: 25+41=66, Resulting Numbers: [52, 66]
Generated Node #0,2,2: 14:[52, 66] Operation: 25+41=66
Exploring Operation: 41-25=16, Resulting Numbers: [52, 16]
Generated Node #0,2,3: 14:[52, 16] Operation: 41-25=16
Moving to Node #0,3,1
Current State: 14:[10, 4], Operations: ['62-41=21', '25-21=4']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[62, 25, 41, 10], Operations: []
Exploring Operation: 62-41=21, Resulting Numbers: [25, 10, 21]
Generated Node #0,3: 14:[25, 10, 21] Operation: 62-41=21
Moving to Node #0,3
Current State: 14:[25, 10, 21], Operations: ['62-41=21']
Exploring Operation: 25-21=4, Resulting Numbers: [10, 4]
Generated Node #0,3,1: 14:[10, 4] Operation: 25-21=4
Moving to Node #0,3,1
Current State: 14:[10, 4], Operations: ['62-41=21', '25-21=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.977431 | hs_4 | mult_heuristic |
[
48,
34,
46,
1
] | 69 | [
"48-46=2",
"34*2=68",
"1+68=69"
] | Current State: 69:[48, 34, 46, 1], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [34, 1, 2]
Generated Node #2: [34, 1, 2] from Operation: 48-46=2
Current State: 69:[34, 1, 2], Operations: ['48-46=2']
Exploring Operation: 34*2=68, Resulting Numbers: [1, 68]
Generated Node #3: [1, 68] from Operation: 34*2=68
Current State: 69:[1, 68], Operations: ['48-46=2', '34*2=68']
Exploring Operation: 1+68=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[48, 34, 46, 1], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [34, 1, 2]
Generated Node #0,0: 69:[34, 1, 2] Operation: 48-46=2
Exploring Operation: 46-34=12, Resulting Numbers: [48, 1, 12]
Generated Node #0,1: 69:[48, 1, 12] Operation: 46-34=12
Moving to Node #0,0
Current State: 69:[34, 1, 2], Operations: ['48-46=2']
Exploring Operation: 34*2=68, Resulting Numbers: [1, 68]
Generated Node #0,0,0: 69:[1, 68] Operation: 34*2=68
Exploring Operation: 34/2=17, Resulting Numbers: [1, 17]
Generated Node #0,0,1: 69:[1, 17] Operation: 34/2=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[1, 68], Operations: ['48-46=2', '34*2=68']
Exploring Operation: 1*68=68, Resulting Numbers: [68]
68,69 unequal: No Solution
Exploring Operation: 1+68=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[48, 34, 46, 1], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [34, 1, 2]
Generated Node #0,0: 69:[34, 1, 2] Operation: 48-46=2
Moving to Node #0,0
Current State: 69:[34, 1, 2], Operations: ['48-46=2']
Exploring Operation: 34*2=68, Resulting Numbers: [1, 68]
Generated Node #0,0,0: 69:[1, 68] Operation: 34*2=68
Moving to Node #0,0,0
Current State: 69:[1, 68], Operations: ['48-46=2', '34*2=68']
Exploring Operation: 1+68=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
15,
2,
71,
65
] | 83 | [
"71+65=136",
"136/2=68",
"15+68=83"
] | Current State: 83:[15, 2, 71, 65], Operations: []
Exploring Operation: 71+65=136, Resulting Numbers: [15, 2, 136]
Generated Node #2: [15, 2, 136] from Operation: 71+65=136
Current State: 83:[15, 2, 136], Operations: ['71+65=136']
Exploring Operation: 136/2=68, Resulting Numbers: [15, 68]
Generated Node #3: [15, 68] from Operation: 136/2=68
Current State: 83:[15, 68], Operations: ['71+65=136', '136/2=68']
Exploring Operation: 15+68=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[15, 2, 71, 65], Operations: []
Exploring Operation: 15+2=17, Resulting Numbers: [71, 65, 17]
Generated Node #0,0: 83:[71, 65, 17] Operation: 15+2=17
Exploring Operation: 15*2=30, Resulting Numbers: [71, 65, 30]
Generated Node #0,1: 83:[71, 65, 30] Operation: 15*2=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[71, 65, 30], Operations: ['15*2=30']
Exploring Operation: 71+30=101, Resulting Numbers: [65, 101]
Generated Node #0,1,0: 83:[65, 101] Operation: 71+30=101
Exploring Operation: 65+30=95, Resulting Numbers: [71, 95]
Generated Node #0,1,1: 83:[71, 95] Operation: 65+30=95
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[71, 95], Operations: ['15*2=30', '65+30=95']
Exploring Operation: 71+95=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 95-71=24, Resulting Numbers: [24]
24,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[65, 101], Operations: ['15*2=30', '71+30=101']
Exploring Operation: 101-65=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 65+101=166, Resulting Numbers: [166]
166,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[71, 65, 17], Operations: ['15+2=17']
Exploring Operation: 71+17=88, Resulting Numbers: [65, 88]
Generated Node #0,0,0: 83:[65, 88] Operation: 71+17=88
Exploring Operation: 65+17=82, Resulting Numbers: [71, 82]
Generated Node #0,0,1: 83:[71, 82] Operation: 65+17=82
Moving to Node #0,0,1
Current State: 83:[71, 82], Operations: ['15+2=17', '65+17=82']
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 71+82=153, Resulting Numbers: [153]
153,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[65, 88], Operations: ['15+2=17', '71+17=88']
Exploring Operation: 88-65=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 65+88=153, Resulting Numbers: [153]
153,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
89,
83,
86,
26
] | 28 | [
"89+83=172",
"172/86=2",
"26+2=28"
] | Current State: 28:[89, 83, 86, 26], Operations: []
Exploring Operation: 89+83=172, Resulting Numbers: [86, 26, 172]
Generated Node #2: [86, 26, 172] from Operation: 89+83=172
Current State: 28:[86, 26, 172], Operations: ['89+83=172']
Exploring Operation: 172/86=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 172/86=2
Current State: 28:[26, 2], Operations: ['89+83=172', '172/86=2']
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[89, 83, 86, 26], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [83, 26, 3]
Generated Node #0,0: 28:[83, 26, 3] Operation: 89-86=3
Exploring Operation: 86-83=3, Resulting Numbers: [89, 26, 3]
Generated Node #0,1: 28:[89, 26, 3] Operation: 86-83=3
Exploring Operation: 89-83=6, Resulting Numbers: [86, 26, 6]
Generated Node #0,2: 28:[86, 26, 6] Operation: 89-83=6
Exploring Operation: 89-26=63, Resulting Numbers: [83, 86, 63]
Generated Node #0,3: 28:[83, 86, 63] Operation: 89-26=63
Moving to Node #0,0
Current State: 28:[83, 26, 3], Operations: ['89-86=3']
Exploring Operation: 83+3=86, Resulting Numbers: [26, 86]
Generated Node #0,0,0: 28:[26, 86] Operation: 83+3=86
Exploring Operation: 26+3=29, Resulting Numbers: [83, 29]
Generated Node #0,0,1: 28:[83, 29] Operation: 26+3=29
Exploring Operation: 83-26=57, Resulting Numbers: [3, 57]
Generated Node #0,0,2: 28:[3, 57] Operation: 83-26=57
Exploring Operation: 83-3=80, Resulting Numbers: [26, 80]
Generated Node #0,0,3: 28:[26, 80] Operation: 83-3=80
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 28:[3, 57], Operations: ['89-86=3', '83-26=57']
Exploring Operation: 3*57=171, Resulting Numbers: [171]
171,28 unequal: No Solution
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 28:[26, 80], Operations: ['89-86=3', '83-3=80']
Exploring Operation: 26*80=2080, Resulting Numbers: [2080]
2080,28 unequal: No Solution
Exploring Operation: 26+80=106, Resulting Numbers: [106]
106,28 unequal: No Solution
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 28:[83, 29], Operations: ['89-86=3', '26+3=29']
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,28 unequal: No Solution
Exploring Operation: 83+29=112, Resulting Numbers: [112]
112,28 unequal: No Solution
Exploring Operation: 83*29=2407, Resulting Numbers: [2407]
2407,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[26, 86], Operations: ['89-86=3', '83+3=86']
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Exploring Operation: 26*86=2236, Resulting Numbers: [2236]
2236,28 unequal: No Solution
Exploring Operation: 26+86=112, Resulting Numbers: [112]
112,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 28:[86, 26, 6], Operations: ['89-83=6']
Exploring Operation: 26-6=20, Resulting Numbers: [86, 20]
Generated Node #0,2,0: 28:[86, 20] Operation: 26-6=20
Exploring Operation: 26+6=32, Resulting Numbers: [86, 32]
Generated Node #0,2,1: 28:[86, 32] Operation: 26+6=32
Exploring Operation: 86-6=80, Resulting Numbers: [26, 80]
Generated Node #0,2,2: 28:[26, 80] Operation: 86-6=80
Exploring Operation: 86-26=60, Resulting Numbers: [6, 60]
Generated Node #0,2,3: 28:[6, 60] Operation: 86-26=60
Moving to Node #0,1
Current State: 28:[89, 26, 3], Operations: ['86-83=3']
Exploring Operation: 89-26=63, Resulting Numbers: [3, 63]
Generated Node #0,1,0: 28:[3, 63] Operation: 89-26=63
Exploring Operation: 26+3=29, Resulting Numbers: [89, 29]
Generated Node #0,1,1: 28:[89, 29] Operation: 26+3=29
Exploring Operation: 89-3=86, Resulting Numbers: [26, 86]
Generated Node #0,1,2: 28:[26, 86] Operation: 89-3=86
Exploring Operation: 89+3=92, Resulting Numbers: [26, 92]
Generated Node #0,1,3: 28:[26, 92] Operation: 89+3=92
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[3, 63], Operations: ['86-83=3', '89-26=63']
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,28 unequal: No Solution
Exploring Operation: 3*63=189, Resulting Numbers: [189]
189,28 unequal: No Solution
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 28:[26, 86], Operations: ['86-83=3', '89-3=86']
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Exploring Operation: 26*86=2236, Resulting Numbers: [2236]
2236,28 unequal: No Solution
Exploring Operation: 26+86=112, Resulting Numbers: [112]
112,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[89, 29], Operations: ['86-83=3', '26+3=29']
Exploring Operation: 89-29=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Exploring Operation: 89*29=2581, Resulting Numbers: [2581]
2581,28 unequal: No Solution
Exploring Operation: 89+29=118, Resulting Numbers: [118]
118,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 28:[26, 92], Operations: ['86-83=3', '89+3=92']
Exploring Operation: 26*92=2392, Resulting Numbers: [2392]
2392,28 unequal: No Solution
Exploring Operation: 26+92=118, Resulting Numbers: [118]
118,28 unequal: No Solution
Exploring Operation: 92-26=66, Resulting Numbers: [66]
66,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 28:[83, 86, 63], Operations: ['89-26=63']
Exploring Operation: 86-63=23, Resulting Numbers: [83, 23]
Generated Node #0,3,0: 28:[83, 23] Operation: 86-63=23
Exploring Operation: 83-63=20, Resulting Numbers: [86, 20]
Generated Node #0,3,1: 28:[86, 20] Operation: 83-63=20
Exploring Operation: 86-83=3, Resulting Numbers: [63, 3]
Generated Node #0,3,2: 28:[63, 3] Operation: 86-83=3
Exploring Operation: 83+86=169, Resulting Numbers: [63, 169]
Generated Node #0,3,3: 28:[63, 169] Operation: 83+86=169
Moving to Node #0,2,3
Current State: 28:[6, 60], Operations: ['89-83=6', '86-26=60']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,28 unequal: No Solution
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 6+60=66, Resulting Numbers: [66]
66,28 unequal: No Solution
Exploring Operation: 6*60=360, Resulting Numbers: [360]
360,28 unequal: No Solution
Moving to Node #0,3,2
Current State: 28:[63, 3], Operations: ['89-26=63', '86-83=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,28 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 63*3=189, Resulting Numbers: [189]
189,28 unequal: No Solution
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Moving to Node #0,2,2
Current State: 28:[26, 80], Operations: ['89-83=6', '86-6=80']
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,28 unequal: No Solution
Exploring Operation: 26+80=106, Resulting Numbers: [106]
106,28 unequal: No Solution
Exploring Operation: 26*80=2080, Resulting Numbers: [2080]
2080,28 unequal: No Solution
Moving to Node #0,3,0
Current State: 28:[83, 23], Operations: ['89-26=63', '86-63=23']
Exploring Operation: 83+23=106, Resulting Numbers: [106]
106,28 unequal: No Solution
Exploring Operation: 83-23=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Exploring Operation: 83*23=1909, Resulting Numbers: [1909]
1909,28 unequal: No Solution
Moving to Node #0,2,1
Current State: 28:[86, 32], Operations: ['89-83=6', '26+6=32']
Exploring Operation: 86+32=118, Resulting Numbers: [118]
118,28 unequal: No Solution
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,28 unequal: No Solution
Exploring Operation: 86*32=2752, Resulting Numbers: [2752]
2752,28 unequal: No Solution
Moving to Node #0,2,0
Current State: 28:[86, 20], Operations: ['89-83=6', '26-6=20']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,28 unequal: No Solution
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,28 unequal: No Solution
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,28 unequal: No Solution
Moving to Node #0,3,1
Current State: 28:[86, 20], Operations: ['89-26=63', '83-63=20']
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,28 unequal: No Solution
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,28 unequal: No Solution
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,28 unequal: No Solution
Moving to Node #0,3,3
Current State: 28:[63, 169], Operations: ['89-26=63', '83+86=169']
Exploring Operation: 63*169=10647, Resulting Numbers: [10647]
10647,28 unequal: No Solution
Exploring Operation: 169-63=106, Resulting Numbers: [106]
106,28 unequal: No Solution
Exploring Operation: 63+169=232, Resulting Numbers: [232]
232,28 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
1,
2,
78,
5
] | 25 | [
"5-2=3",
"78/3=26",
"26-1=25"
] | Current State: 25:[1, 2, 78, 5], Operations: []
Exploring Operation: 5-2=3, Resulting Numbers: [1, 78, 3]
Generated Node #2: [1, 78, 3] from Operation: 5-2=3
Current State: 25:[1, 78, 3], Operations: ['5-2=3']
Exploring Operation: 78/3=26, Resulting Numbers: [1, 26]
Generated Node #3: [1, 26] from Operation: 78/3=26
Current State: 25:[1, 26], Operations: ['5-2=3', '78/3=26']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[1, 2, 78, 5], Operations: []
Exploring Operation: 78-2=76, Resulting Numbers: [1, 5, 76]
Generated Node #0,0: 25:[1, 5, 76] Operation: 78-2=76
Exploring Operation: 78/2=39, Resulting Numbers: [1, 5, 39]
Generated Node #0,1: 25:[1, 5, 39] Operation: 78/2=39
Exploring Operation: 78-1=77, Resulting Numbers: [2, 5, 77]
Generated Node #0,2: 25:[2, 5, 77] Operation: 78-1=77
Exploring Operation: 1+2=3, Resulting Numbers: [78, 5, 3]
Generated Node #0,3: 25:[78, 5, 3] Operation: 1+2=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[1, 5, 39], Operations: ['78/2=39']
Exploring Operation: 39-1=38, Resulting Numbers: [5, 38]
Generated Node #0,1,0: 25:[5, 38] Operation: 39-1=38
Exploring Operation: 1*5=5, Resulting Numbers: [39, 5]
Generated Node #0,1,1: 25:[39, 5] Operation: 1*5=5
Exploring Operation: 39-5=34, Resulting Numbers: [1, 34]
Generated Node #0,1,2: 25:[1, 34] Operation: 39-5=34
Exploring Operation: 5/1=5, Resulting Numbers: [39, 5]
Generated Node #0,1,3: 25:[39, 5] Operation: 5/1=5
Moving to Node #0,1,0
Current State: 25:[5, 38], Operations: ['78/2=39', '39-1=38']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,25 unequal: No Solution
Exploring Operation: 5*38=190, Resulting Numbers: [190]
190,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[1, 34], Operations: ['78/2=39', '39-5=34']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 1+34=35, Resulting Numbers: [35]
35,25 unequal: No Solution
Exploring Operation: 1*34=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Moving to Node #0,1,3
Current State: 25:[39, 5], Operations: ['78/2=39', '5/1=5']
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,25 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[39, 5], Operations: ['78/2=39', '1*5=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,25 unequal: No Solution
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,25 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:[1, 5, 76], Operations: ['78-2=76']
Exploring Operation: 1*5=5, Resulting Numbers: [76, 5]
Generated Node #0,0,0: 25:[76, 5] Operation: 1*5=5
Exploring Operation: 76-5=71, Resulting Numbers: [1, 71]
Generated Node #0,0,1: 25:[1, 71] Operation: 76-5=71
Exploring Operation: 5/1=5, Resulting Numbers: [76, 5]
Generated Node #0,0,2: 25:[76, 5] Operation: 5/1=5
Exploring Operation: 76-1=75, Resulting Numbers: [5, 75]
Generated Node #0,0,3: 25:[5, 75] Operation: 76-1=75
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 25:[1, 71], Operations: ['78-2=76', '76-5=71']
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 1+71=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 1*71=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,25 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 #0,0,3
Current State: 25:[5, 75], Operations: ['78-2=76', '76-1=75']
Exploring Operation: 5+75=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 5*75=375, Resulting Numbers: [375]
375,25 unequal: No Solution
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,25 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:[76, 5], Operations: ['78-2=76', '1*5=5']
Exploring Operation: 76*5=380, Resulting Numbers: [380]
380,25 unequal: No Solution
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,25 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:[76, 5], Operations: ['78-2=76', '5/1=5']
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 76*5=380, Resulting Numbers: [380]
380,25 unequal: No Solution
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,25 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 #0,2
Current State: 25:[2, 5, 77], Operations: ['78-1=77']
Exploring Operation: 77-5=72, Resulting Numbers: [2, 72]
Generated Node #0,2,0: 25:[2, 72] Operation: 77-5=72
Exploring Operation: 2+5=7, Resulting Numbers: [77, 7]
Generated Node #0,2,1: 25:[77, 7] Operation: 2+5=7
Exploring Operation: 5-2=3, Resulting Numbers: [77, 3]
Generated Node #0,2,2: 25:[77, 3] Operation: 5-2=3
Exploring Operation: 77-2=75, Resulting Numbers: [5, 75]
Generated Node #0,2,3: 25:[5, 75] Operation: 77-2=75
Moving to Node #0,2,0
Current State: 25:[2, 72], Operations: ['78-1=77', '77-5=72']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,25 unequal: No Solution
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,25 unequal: No Solution
Exploring Operation: 2*72=144, Resulting Numbers: [144]
144,25 unequal: No Solution
Moving to Node #0,2,3
Current State: 25:[5, 75], Operations: ['78-1=77', '77-2=75']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Exploring Operation: 5+75=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,25 unequal: No Solution
Exploring Operation: 5*75=375, Resulting Numbers: [375]
375,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[77, 3], Operations: ['78-1=77', '5-2=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 77*3=231, Resulting Numbers: [231]
231,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[77, 7], Operations: ['78-1=77', '2+5=7']
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,25 unequal: No Solution
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 77*7=539, Resulting Numbers: [539]
539,25 unequal: No Solution
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,25 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:[78, 5, 3], Operations: ['1+2=3']
Exploring Operation: 78-3=75, Resulting Numbers: [5, 75]
Generated Node #0,3,0: 25:[5, 75] Operation: 78-3=75
Exploring Operation: 78+3=81, Resulting Numbers: [5, 81]
Generated Node #0,3,1: 25:[5, 81] Operation: 78+3=81
Exploring Operation: 78/3=26, Resulting Numbers: [5, 26]
Generated Node #0,3,2: 25:[5, 26] Operation: 78/3=26
Exploring Operation: 78-5=73, Resulting Numbers: [3, 73]
Generated Node #0,3,3: 25:[3, 73] Operation: 78-5=73
Moving to Node #0,3,2
Current State: 25:[5, 26], Operations: ['1+2=3', '78/3=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,25 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,25 unequal: No Solution
Moving to Node #0,3,3
Current State: 25:[3, 73], Operations: ['1+2=3', '78-5=73']
Exploring Operation: 3*73=219, Resulting Numbers: [219]
219,25 unequal: No Solution
Exploring Operation: 3+73=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,25 unequal: No Solution
Moving to Node #0,3,0
Current State: 25:[5, 75], Operations: ['1+2=3', '78-3=75']
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,25 unequal: No Solution
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Exploring Operation: 5*75=375, Resulting Numbers: [375]
375,25 unequal: No Solution
Exploring Operation: 5+75=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Moving to Node #0,3,1
Current State: 25:[5, 81], Operations: ['1+2=3', '78+3=81']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Exploring Operation: 5*81=405, Resulting Numbers: [405]
405,25 unequal: No Solution
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
95,
33,
7,
99
] | 11 | [
"95+7=102",
"102-99=3",
"33/3=11"
] | Current State: 11:[95, 33, 7, 99], Operations: []
Exploring Operation: 95+7=102, Resulting Numbers: [33, 99, 102]
Generated Node #2: [33, 99, 102] from Operation: 95+7=102
Current State: 11:[33, 99, 102], Operations: ['95+7=102']
Exploring Operation: 102-99=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 102-99=3
Current State: 11:[33, 3], Operations: ['95+7=102', '102-99=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[95, 33, 7, 99], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [95, 7, 3]
Generated Node #0,0: 11:[95, 7, 3] Operation: 99/33=3
Exploring Operation: 99-95=4, Resulting Numbers: [33, 7, 4]
Generated Node #0,1: 11:[33, 7, 4] Operation: 99-95=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[33, 7, 4], Operations: ['99-95=4']
Exploring Operation: 33-4=29, Resulting Numbers: [7, 29]
Generated Node #0,1,0: 11:[7, 29] Operation: 33-4=29
Exploring Operation: 33-7=26, Resulting Numbers: [4, 26]
Generated Node #0,1,1: 11:[4, 26] Operation: 33-7=26
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[7, 29], Operations: ['99-95=4', '33-4=29']
Exploring Operation: 7+29=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[4, 26], Operations: ['99-95=4', '33-7=26']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,11 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 #0,0
Current State: 11:[95, 7, 3], Operations: ['99/33=3']
Exploring Operation: 95-7=88, Resulting Numbers: [3, 88]
Generated Node #0,0,0: 11:[3, 88] Operation: 95-7=88
Exploring Operation: 95-3=92, Resulting Numbers: [7, 92]
Generated Node #0,0,1: 11:[7, 92] Operation: 95-3=92
Moving to Node #0,0,0
Current State: 11:[3, 88], Operations: ['99/33=3', '95-7=88']
Exploring Operation: 3+88=91, Resulting Numbers: [91]
91,11 unequal: No Solution
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[7, 92], Operations: ['99/33=3', '95-3=92']
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,11 unequal: No Solution
Exploring Operation: 7+92=99, Resulting Numbers: [99]
99,11 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 |
[
1,
39,
1,
25
] | 62 | [
"39-1=38",
"25-1=24",
"38+24=62"
] | Current State: 62:[1, 39, 1, 25], Operations: []
Exploring Operation: 39-1=38, Resulting Numbers: [25, 38]
Generated Node #2: [25, 38] from Operation: 39-1=38
Current State: 62:[25, 38], Operations: ['39-1=38']
Exploring Operation: 25-1=24, Resulting Numbers: [38, 24]
Generated Node #3: [38, 24] from Operation: 25-1=24
Current State: 62:[38, 24], Operations: ['39-1=38', '25-1=24']
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[1, 39, 1, 25], Operations: []
Exploring Operation: 39+25=64, Resulting Numbers: [1, 1, 64]
Generated Node #0,0: 62:[1, 1, 64] Operation: 39+25=64
Exploring Operation: 39-1=38, Resulting Numbers: [1, 25, 38]
Generated Node #0,1: 62:[1, 25, 38] Operation: 39-1=38
Exploring Operation: 1+1=2, Resulting Numbers: [39, 25, 2]
Generated Node #0,2: 62:[39, 25, 2] Operation: 1+1=2
Moving to Node #0,0
Current State: 62:[1, 1, 64], Operations: ['39+25=64']
Exploring Operation: 64-1=63, Resulting Numbers: [1, 63]
Generated Node #0,0,0: 62:[1, 63] Operation: 64-1=63
Exploring Operation: 64-1=63, Resulting Numbers: [1, 63]
Generated Node #0,0,1: 62:[1, 63] Operation: 64-1=63
Exploring Operation: 1+1=2, Resulting Numbers: [64, 2]
Generated Node #0,0,2: 62:[64, 2] Operation: 1+1=2
Moving to Node #0,1
Current State: 62:[1, 25, 38], Operations: ['39-1=38']
Exploring Operation: 1+25=26, Resulting Numbers: [38, 26]
Generated Node #0,1,0: 62:[38, 26] Operation: 1+25=26
Exploring Operation: 38-1=37, Resulting Numbers: [25, 37]
Generated Node #0,1,1: 62:[25, 37] Operation: 38-1=37
Exploring Operation: 25+38=63, Resulting Numbers: [1, 63]
Generated Node #0,1,2: 62:[1, 63] Operation: 25+38=63
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[1, 63], Operations: ['39-1=38', '25+38=63']
Exploring Operation: 1*63=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[1, 39, 1, 25], Operations: []
Exploring Operation: 39-1=38, Resulting Numbers: [1, 25, 38]
Generated Node #0,1: 62:[1, 25, 38] Operation: 39-1=38
Moving to Node #0,1
Current State: 62:[1, 25, 38], Operations: ['39-1=38']
Exploring Operation: 25+38=63, Resulting Numbers: [1, 63]
Generated Node #0,1,2: 62:[1, 63] Operation: 25+38=63
Moving to Node #0,1,2
Current State: 62:[1, 63], Operations: ['39-1=38', '25+38=63']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
24,
95,
98,
96
] | 73 | [
"95-24=71",
"98-96=2",
"71+2=73"
] | Current State: 73:[24, 95, 98, 96], Operations: []
Exploring Operation: 95-24=71, Resulting Numbers: [98, 96, 71]
Generated Node #2: [98, 96, 71] from Operation: 95-24=71
Current State: 73:[98, 96, 71], Operations: ['95-24=71']
Exploring Operation: 98-96=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 98-96=2
Current State: 73:[71, 2], Operations: ['95-24=71', '98-96=2']
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[24, 95, 98, 96], Operations: []
Exploring Operation: 95-24=71, Resulting Numbers: [98, 96, 71]
Generated Node #0,0: 73:[98, 96, 71] Operation: 95-24=71
Exploring Operation: 98-24=74, Resulting Numbers: [95, 96, 74]
Generated Node #0,1: 73:[95, 96, 74] Operation: 98-24=74
Exploring Operation: 96-24=72, Resulting Numbers: [95, 98, 72]
Generated Node #0,2: 73:[95, 98, 72] Operation: 96-24=72
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[95, 96, 74], Operations: ['98-24=74']
Exploring Operation: 96-95=1, Resulting Numbers: [74, 1]
Generated Node #0,1,0: 73:[74, 1] Operation: 96-95=1
Exploring Operation: 95-74=21, Resulting Numbers: [96, 21]
Generated Node #0,1,1: 73:[96, 21] Operation: 95-74=21
Exploring Operation: 96-74=22, Resulting Numbers: [95, 22]
Generated Node #0,1,2: 73:[95, 22] Operation: 96-74=22
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[74, 1], Operations: ['98-24=74', '96-95=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[24, 95, 98, 96], Operations: []
Exploring Operation: 98-24=74, Resulting Numbers: [95, 96, 74]
Generated Node #0,1: 73:[95, 96, 74] Operation: 98-24=74
Moving to Node #0,1
Current State: 73:[95, 96, 74], Operations: ['98-24=74']
Exploring Operation: 96-95=1, Resulting Numbers: [74, 1]
Generated Node #0,1,0: 73:[74, 1] Operation: 96-95=1
Moving to Node #0,1,0
Current State: 73:[74, 1], Operations: ['98-24=74', '96-95=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
75,
38,
22,
3
] | 94 | [
"75+38=113",
"22-3=19",
"113-19=94"
] | Current State: 94:[75, 38, 22, 3], Operations: []
Exploring Operation: 75+38=113, Resulting Numbers: [22, 3, 113]
Generated Node #2: [22, 3, 113] from Operation: 75+38=113
Current State: 94:[22, 3, 113], Operations: ['75+38=113']
Exploring Operation: 22-3=19, Resulting Numbers: [113, 19]
Generated Node #3: [113, 19] from Operation: 22-3=19
Current State: 94:[113, 19], Operations: ['75+38=113', '22-3=19']
Exploring Operation: 113-19=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[75, 38, 22, 3], Operations: []
Exploring Operation: 75+22=97, Resulting Numbers: [38, 3, 97]
Generated Node #0,0: 94:[38, 3, 97] Operation: 75+22=97
Moving to Node #0,0
Current State: 94:[38, 3, 97], Operations: ['75+22=97']
Exploring Operation: 38+3=41, Resulting Numbers: [97, 41]
Generated Node #0,0,0: 94:[97, 41] Operation: 38+3=41
Moving to Node #0,0,0
Current State: 94:[97, 41], Operations: ['75+22=97', '38+3=41']
Exploring Operation: 97-41=56, Resulting Numbers: [56]
56,94 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
86,
43,
34,
18
] | 27 | [
"86-43=43",
"34-18=16",
"43-16=27"
] | Current State: 27:[86, 43, 34, 18], Operations: []
Exploring Operation: 86-43=43, Resulting Numbers: [34, 18, 43]
Generated Node #2: [34, 18, 43] from Operation: 86-43=43
Current State: 27:[34, 18, 43], Operations: ['86-43=43']
Exploring Operation: 34-18=16, Resulting Numbers: [43, 16]
Generated Node #3: [43, 16] from Operation: 34-18=16
Current State: 27:[43, 16], Operations: ['86-43=43', '34-18=16']
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[86, 43, 34, 18], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [34, 18, 2]
Generated Node #0,0: 27:[34, 18, 2] Operation: 86/43=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[34, 18, 2], Operations: ['86/43=2']
Exploring Operation: 18/2=9, Resulting Numbers: [34, 9]
Generated Node #0,0,0: 27:[34, 9] Operation: 18/2=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[34, 9], Operations: ['86/43=2', '18/2=9']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,27 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_1 | sum_heuristic |
[
5,
52,
56,
90
] | 99 | [
"52-5=47",
"56+90=146",
"146-47=99"
] | Current State: 99:[5, 52, 56, 90], Operations: []
Exploring Operation: 52-5=47, Resulting Numbers: [56, 90, 47]
Generated Node #2: [56, 90, 47] from Operation: 52-5=47
Current State: 99:[56, 90, 47], Operations: ['52-5=47']
Exploring Operation: 56+90=146, Resulting Numbers: [47, 146]
Generated Node #3: [47, 146] from Operation: 56+90=146
Current State: 99:[47, 146], Operations: ['52-5=47', '56+90=146']
Exploring Operation: 146-47=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[5, 52, 56, 90], Operations: []
Exploring Operation: 90-52=38, Resulting Numbers: [5, 56, 38]
Generated Node #0,0: 99:[5, 56, 38] Operation: 90-52=38
Exploring Operation: 56-52=4, Resulting Numbers: [5, 90, 4]
Generated Node #0,1: 99:[5, 90, 4] Operation: 56-52=4
Exploring Operation: 52+56=108, Resulting Numbers: [5, 90, 108]
Generated Node #0,2: 99:[5, 90, 108] Operation: 52+56=108
Exploring Operation: 90-56=34, Resulting Numbers: [5, 52, 34]
Generated Node #0,3: 99:[5, 52, 34] Operation: 90-56=34
Moving to Node #0,1
Current State: 99:[5, 90, 4], Operations: ['56-52=4']
Exploring Operation: 5+90=95, Resulting Numbers: [4, 95]
Generated Node #0,1,0: 99:[4, 95] Operation: 5+90=95
Exploring Operation: 5+4=9, Resulting Numbers: [90, 9]
Generated Node #0,1,1: 99:[90, 9] Operation: 5+4=9
Exploring Operation: 90/5=18, Resulting Numbers: [4, 18]
Generated Node #0,1,2: 99:[4, 18] Operation: 90/5=18
Exploring Operation: 90+4=94, Resulting Numbers: [5, 94]
Generated Node #0,1,3: 99:[5, 94] Operation: 90+4=94
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[4, 95], Operations: ['56-52=4', '5+90=95']
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[5, 52, 56, 90], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [5, 90, 4]
Generated Node #0,1: 99:[5, 90, 4] Operation: 56-52=4
Moving to Node #0,1
Current State: 99:[5, 90, 4], Operations: ['56-52=4']
Exploring Operation: 5+90=95, Resulting Numbers: [4, 95]
Generated Node #0,1,0: 99:[4, 95] Operation: 5+90=95
Moving to Node #0,1,0
Current State: 99:[4, 95], Operations: ['56-52=4', '5+90=95']
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
18,
68,
64,
8
] | 50 | [
"68-64=4",
"8*4=32",
"18+32=50"
] | Current State: 50:[18, 68, 64, 8], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [18, 8, 4]
Generated Node #2: [18, 8, 4] from Operation: 68-64=4
Current State: 50:[18, 8, 4], Operations: ['68-64=4']
Exploring Operation: 8*4=32, Resulting Numbers: [18, 32]
Generated Node #3: [18, 32] from Operation: 8*4=32
Current State: 50:[18, 32], Operations: ['68-64=4', '8*4=32']
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[18, 68, 64, 8], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [18, 8, 4]
Generated Node #0,0: 50:[18, 8, 4] Operation: 68-64=4
Exploring Operation: 68-18=50, Resulting Numbers: [64, 8, 50]
Generated Node #0,1: 50:[64, 8, 50] Operation: 68-18=50
Exploring Operation: 64-18=46, Resulting Numbers: [68, 8, 46]
Generated Node #0,2: 50:[68, 8, 46] Operation: 64-18=46
Moving to Node #0,0
Current State: 50:[18, 8, 4], Operations: ['68-64=4']
Exploring Operation: 18+8=26, Resulting Numbers: [4, 26]
Generated Node #0,0,0: 50:[4, 26] Operation: 18+8=26
Exploring Operation: 18-8=10, Resulting Numbers: [4, 10]
Generated Node #0,0,1: 50:[4, 10] Operation: 18-8=10
Exploring Operation: 18+4=22, Resulting Numbers: [8, 22]
Generated Node #0,0,2: 50:[8, 22] Operation: 18+4=22
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[4, 10], Operations: ['68-64=4', '18-8=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,50 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,50 unequal: No Solution
No 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: 50:[4, 26], Operations: ['68-64=4', '18+8=26']
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,50 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,50 unequal: No Solution
No 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: 50:[8, 22], Operations: ['68-64=4', '18+4=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Exploring Operation: 8*22=176, Resulting Numbers: [176]
176,50 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,50 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: 50:[64, 8, 50], Operations: ['68-18=50']
Exploring Operation: 64-50=14, Resulting Numbers: [8, 14]
Generated Node #0,1,0: 50:[8, 14] Operation: 64-50=14
Exploring Operation: 64/8=8, Resulting Numbers: [50, 8]
Generated Node #0,1,1: 50:[50, 8] Operation: 64/8=8
Exploring Operation: 64-8=56, Resulting Numbers: [50, 56]
Generated Node #0,1,2: 50:[50, 56] Operation: 64-8=56
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[50, 8], Operations: ['68-18=50', '64/8=8']
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,50 unequal: No Solution
Exploring Operation: 50*8=400, Resulting Numbers: [400]
400,50 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,50 unequal: No Solution
No solution 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: 50:[8, 14], Operations: ['68-18=50', '64-50=14']
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,50 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,50 unequal: No Solution
No solution 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: 50:[50, 56], Operations: ['68-18=50', '64-8=56']
Exploring Operation: 56-50=6, Resulting Numbers: [6]
6,50 unequal: No Solution
Exploring Operation: 50+56=106, Resulting Numbers: [106]
106,50 unequal: No Solution
Exploring Operation: 50*56=2800, Resulting Numbers: [2800]
2800,50 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: 50:[68, 8, 46], Operations: ['64-18=46']
Exploring Operation: 68-8=60, Resulting Numbers: [46, 60]
Generated Node #0,2,0: 50:[46, 60] Operation: 68-8=60
Exploring Operation: 68-46=22, Resulting Numbers: [8, 22]
Generated Node #0,2,1: 50:[8, 22] Operation: 68-46=22
Exploring Operation: 8+46=54, Resulting Numbers: [68, 54]
Generated Node #0,2,2: 50:[68, 54] Operation: 8+46=54
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[8, 22], Operations: ['64-18=46', '68-46=22']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Exploring Operation: 8*22=176, Resulting Numbers: [176]
176,50 unequal: No Solution
No 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: 50:[46, 60], Operations: ['64-18=46', '68-8=60']
Exploring Operation: 46+60=106, Resulting Numbers: [106]
106,50 unequal: No Solution
Exploring Operation: 60-46=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Exploring Operation: 46*60=2760, Resulting Numbers: [2760]
2760,50 unequal: No Solution
No 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: 50:[68, 54], Operations: ['64-18=46', '8+46=54']
Exploring Operation: 68*54=3672, Resulting Numbers: [3672]
3672,50 unequal: No Solution
Exploring Operation: 68+54=122, Resulting Numbers: [122]
122,50 unequal: No Solution
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,50 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,
40,
13,
48
] | 56 | [
"16-13=3",
"48/3=16",
"40+16=56"
] | Current State: 56:[16, 40, 13, 48], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [40, 48, 3]
Generated Node #2: [40, 48, 3] from Operation: 16-13=3
Current State: 56:[40, 48, 3], Operations: ['16-13=3']
Exploring Operation: 48/3=16, Resulting Numbers: [40, 16]
Generated Node #3: [40, 16] from Operation: 48/3=16
Current State: 56:[40, 16], Operations: ['16-13=3', '48/3=16']
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[16, 40, 13, 48], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [16, 13, 8]
Generated Node #0,0: 56:[16, 13, 8] Operation: 48-40=8
Exploring Operation: 16+40=56, Resulting Numbers: [13, 48, 56]
Generated Node #0,1: 56:[13, 48, 56] Operation: 16+40=56
Moving to Node #0,0
Current State: 56:[16, 13, 8], Operations: ['48-40=8']
Exploring Operation: 16-13=3, Resulting Numbers: [8, 3]
Generated Node #0,0,0: 56:[8, 3] Operation: 16-13=3
Exploring Operation: 16+13=29, Resulting Numbers: [8, 29]
Generated Node #0,0,1: 56:[8, 29] Operation: 16+13=29
Moving to Node #0,1
Current State: 56:[13, 48, 56], Operations: ['16+40=56']
Exploring Operation: 56-48=8, Resulting Numbers: [13, 8]
Generated Node #0,1,0: 56:[13, 8] Operation: 56-48=8
Exploring Operation: 13+48=61, Resulting Numbers: [56, 61]
Generated Node #0,1,1: 56:[56, 61] Operation: 13+48=61
Moving to Node #0,0,0
Current State: 56:[8, 3], Operations: ['48-40=8', '16-13=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[13, 8], Operations: ['16+40=56', '56-48=8']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[8, 29], Operations: ['48-40=8', '16+13=29']
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,56 unequal: No Solution
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[56, 61], Operations: ['16+40=56', '13+48=61']
Exploring Operation: 56+61=117, Resulting Numbers: [117]
117,56 unequal: No Solution
Exploring Operation: 61-56=5, Resulting Numbers: [5]
5,56 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
9,
20,
9,
90
] | 69 | [
"9/9=1",
"90-20=70",
"70-1=69"
] | Current State: 69:[9, 20, 9, 90], Operations: []
Exploring Operation: 9/9=1, Resulting Numbers: [20, 90, 1]
Generated Node #2: [20, 90, 1] from Operation: 9/9=1
Current State: 69:[20, 90, 1], Operations: ['9/9=1']
Exploring Operation: 90-20=70, Resulting Numbers: [1, 70]
Generated Node #3: [1, 70] from Operation: 90-20=70
Current State: 69:[1, 70], Operations: ['9/9=1', '90-20=70']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[9, 20, 9, 90], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [20, 9, 10]
Generated Node #0,0: 69:[20, 9, 10] Operation: 90/9=10
Exploring Operation: 90-9=81, Resulting Numbers: [20, 9, 81]
Generated Node #0,1: 69:[20, 9, 81] Operation: 90-9=81
Exploring Operation: 90/9=10, Resulting Numbers: [9, 20, 10]
Generated Node #0,2: 69:[9, 20, 10] Operation: 90/9=10
Exploring Operation: 90-20=70, Resulting Numbers: [9, 9, 70]
Generated Node #0,3: 69:[9, 9, 70] Operation: 90-20=70
Moving to Node #0,3
Current State: 69:[9, 9, 70], Operations: ['90-20=70']
Exploring Operation: 9-9=0, Resulting Numbers: [70, 0]
Generated Node #0,3,0: 69:[70, 0] Operation: 9-9=0
Exploring Operation: 9*9=81, Resulting Numbers: [70, 81]
Generated Node #0,3,1: 69:[70, 81] Operation: 9*9=81
Exploring Operation: 9+9=18, Resulting Numbers: [70, 18]
Generated Node #0,3,2: 69:[70, 18] Operation: 9+9=18
Exploring Operation: 9/9=1, Resulting Numbers: [70, 1]
Generated Node #0,3,3: 69:[70, 1] Operation: 9/9=1
Moving to Node #0,2
Current State: 69:[9, 20, 10], Operations: ['90/9=10']
Exploring Operation: 9+10=19, Resulting Numbers: [20, 19]
Generated Node #0,2,0: 69:[20, 19] Operation: 9+10=19
Exploring Operation: 10-9=1, Resulting Numbers: [20, 1]
Generated Node #0,2,1: 69:[20, 1] Operation: 10-9=1
Exploring Operation: 9+20=29, Resulting Numbers: [10, 29]
Generated Node #0,2,2: 69:[10, 29] Operation: 9+20=29
Exploring Operation: 20/10=2, Resulting Numbers: [9, 2]
Generated Node #0,2,3: 69:[9, 2] Operation: 20/10=2
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 69:[20, 1], Operations: ['90/9=10', '10-9=1']
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,69 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,69 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 #0,2,0
Current State: 69:[20, 19], Operations: ['90/9=10', '9+10=19']
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,69 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,69 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 #0,2,3
Current State: 69:[9, 2], Operations: ['90/9=10', '20/10=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,69 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,69 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 #0,2,2
Current State: 69:[10, 29], Operations: ['90/9=10', '9+20=29']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,69 unequal: No Solution
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,69 unequal: No Solution
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,69 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:[20, 9, 10], Operations: ['90/9=10']
Exploring Operation: 20/10=2, Resulting Numbers: [9, 2]
Generated Node #0,0,0: 69:[9, 2] Operation: 20/10=2
Exploring Operation: 10-9=1, Resulting Numbers: [20, 1]
Generated Node #0,0,1: 69:[20, 1] Operation: 10-9=1
Exploring Operation: 20+9=29, Resulting Numbers: [10, 29]
Generated Node #0,0,2: 69:[10, 29] Operation: 20+9=29
Exploring Operation: 9+10=19, Resulting Numbers: [20, 19]
Generated Node #0,0,3: 69:[20, 19] Operation: 9+10=19
Moving to Node #0,1
Current State: 69:[20, 9, 81], Operations: ['90-9=81']
Exploring Operation: 20+9=29, Resulting Numbers: [81, 29]
Generated Node #0,1,0: 69:[81, 29] Operation: 20+9=29
Exploring Operation: 81-9=72, Resulting Numbers: [20, 72]
Generated Node #0,1,1: 69:[20, 72] Operation: 81-9=72
Exploring Operation: 81/9=9, Resulting Numbers: [20, 9]
Generated Node #0,1,2: 69:[20, 9] Operation: 81/9=9
Exploring Operation: 81-20=61, Resulting Numbers: [9, 61]
Generated Node #0,1,3: 69:[9, 61] Operation: 81-20=61
Moving to Node #0,3,3
Current State: 69:[70, 1], Operations: ['90-20=70', '9/9=1']
Exploring Operation: 70*1=70, Resulting Numbers: [70]
70,69 unequal: No Solution
Exploring Operation: 70+1=71, Resulting Numbers: [71]
71,69 unequal: No Solution
Exploring Operation: 70/1=70, Resulting Numbers: [70]
70,69 unequal: No Solution
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[9, 20, 9, 90], Operations: []
Exploring Operation: 90-20=70, Resulting Numbers: [9, 9, 70]
Generated Node #0,3: 69:[9, 9, 70] Operation: 90-20=70
Moving to Node #0,3
Current State: 69:[9, 9, 70], Operations: ['90-20=70']
Exploring Operation: 9/9=1, Resulting Numbers: [70, 1]
Generated Node #0,3,3: 69:[70, 1] Operation: 9/9=1
Moving to Node #0,3,3
Current State: 69:[70, 1], Operations: ['90-20=70', '9/9=1']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 0.96441 | hs_4 | sum_heuristic |
[
14,
41,
75,
73
] | 53 | [
"14+41=55",
"75-73=2",
"55-2=53"
] | Current State: 53:[14, 41, 75, 73], Operations: []
Exploring Operation: 14+41=55, Resulting Numbers: [75, 73, 55]
Generated Node #2: [75, 73, 55] from Operation: 14+41=55
Current State: 53:[75, 73, 55], Operations: ['14+41=55']
Exploring Operation: 75-73=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 75-73=2
Current State: 53:[55, 2], Operations: ['14+41=55', '75-73=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[14, 41, 75, 73], Operations: []
Exploring Operation: 73-14=59, Resulting Numbers: [41, 75, 59]
Generated Node #0,0: 53:[41, 75, 59] Operation: 73-14=59
Exploring Operation: 14+41=55, Resulting Numbers: [75, 73, 55]
Generated Node #0,1: 53:[75, 73, 55] Operation: 14+41=55
Exploring Operation: 75-14=61, Resulting Numbers: [41, 73, 61]
Generated Node #0,2: 53:[41, 73, 61] Operation: 75-14=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[41, 75, 59], Operations: ['73-14=59']
Exploring Operation: 75-59=16, Resulting Numbers: [41, 16]
Generated Node #0,0,0: 53:[41, 16] Operation: 75-59=16
Exploring Operation: 75-41=34, Resulting Numbers: [59, 34]
Generated Node #0,0,1: 53:[59, 34] Operation: 75-41=34
Exploring Operation: 59-41=18, Resulting Numbers: [75, 18]
Generated Node #0,0,2: 53:[75, 18] Operation: 59-41=18
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[59, 34], Operations: ['73-14=59', '75-41=34']
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 59*34=2006, Resulting Numbers: [2006]
2006,53 unequal: No Solution
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[41, 16], Operations: ['73-14=59', '75-59=16']
Exploring Operation: 41*16=656, Resulting Numbers: [656]
656,53 unequal: No Solution
Exploring Operation: 41+16=57, Resulting Numbers: [57]
57,53 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 53:[75, 18], Operations: ['73-14=59', '59-41=18']
Exploring Operation: 75*18=1350, Resulting Numbers: [1350]
1350,53 unequal: No Solution
Exploring Operation: 75+18=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 75-18=57, Resulting Numbers: [57]
57,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[41, 73, 61], Operations: ['75-14=61']
Exploring Operation: 61-41=20, Resulting Numbers: [73, 20]
Generated Node #0,2,0: 53:[73, 20] Operation: 61-41=20
Exploring Operation: 73-41=32, Resulting Numbers: [61, 32]
Generated Node #0,2,1: 53:[61, 32] Operation: 73-41=32
Exploring Operation: 73-61=12, Resulting Numbers: [41, 12]
Generated Node #0,2,2: 53:[41, 12] Operation: 73-61=12
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 53:[61, 32], Operations: ['75-14=61', '73-41=32']
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 61+32=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 61*32=1952, Resulting Numbers: [1952]
1952,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 53:[73, 20], Operations: ['75-14=61', '61-41=20']
Exploring Operation: 73*20=1460, Resulting Numbers: [1460]
1460,53 unequal: No Solution
Exploring Operation: 73+20=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 73-20=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[14, 41, 75, 73], Operations: []
Exploring Operation: 75-14=61, Resulting Numbers: [41, 73, 61]
Generated Node #0,2: 53:[41, 73, 61] Operation: 75-14=61
Moving to Node #0,2
Current State: 53:[41, 73, 61], Operations: ['75-14=61']
Exploring Operation: 61-41=20, Resulting Numbers: [73, 20]
Generated Node #0,2,0: 53:[73, 20] Operation: 61-41=20
Moving to Node #0,2,0
Current State: 53:[73, 20], Operations: ['75-14=61', '61-41=20']
Exploring Operation: 73-20=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.975694 | hs_3 | mult_heuristic |
[
36,
66,
18,
10
] | 71 | [
"36/18=2",
"10/2=5",
"66+5=71"
] | Current State: 71:[36, 66, 18, 10], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [66, 10, 2]
Generated Node #2: [66, 10, 2] from Operation: 36/18=2
Current State: 71:[66, 10, 2], Operations: ['36/18=2']
Exploring Operation: 10/2=5, Resulting Numbers: [66, 5]
Generated Node #3: [66, 5] from Operation: 10/2=5
Current State: 71:[66, 5], Operations: ['36/18=2', '10/2=5']
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[36, 66, 18, 10], Operations: []
Exploring Operation: 36+10=46, Resulting Numbers: [66, 18, 46]
Generated Node #0,0: 71:[66, 18, 46] Operation: 36+10=46
Exploring Operation: 36+18=54, Resulting Numbers: [66, 10, 54]
Generated Node #0,1: 71:[66, 10, 54] Operation: 36+18=54
Moving to Node #0,0
Current State: 71:[66, 18, 46], Operations: ['36+10=46']
Exploring Operation: 66+18=84, Resulting Numbers: [46, 84]
Generated Node #0,0,0: 71:[46, 84] Operation: 66+18=84
Exploring Operation: 18+46=64, Resulting Numbers: [66, 64]
Generated Node #0,0,1: 71:[66, 64] Operation: 18+46=64
Moving to Node #0,1
Current State: 71:[66, 10, 54], Operations: ['36+18=54']
Exploring Operation: 10+54=64, Resulting Numbers: [66, 64]
Generated Node #0,1,0: 71:[66, 64] Operation: 10+54=64
Exploring Operation: 66+10=76, Resulting Numbers: [54, 76]
Generated Node #0,1,1: 71:[54, 76] Operation: 66+10=76
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[66, 64], Operations: ['36+18=54', '10+54=64']
Exploring Operation: 66+64=130, Resulting Numbers: [130]
130,71 unequal: No Solution
Exploring Operation: 66-64=2, Resulting Numbers: [2]
2,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[54, 76], Operations: ['36+18=54', '66+10=76']
Exploring Operation: 54+76=130, Resulting Numbers: [130]
130,71 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,71 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: 71:[66, 64], Operations: ['36+10=46', '18+46=64']
Exploring Operation: 66+64=130, Resulting Numbers: [130]
130,71 unequal: No Solution
Exploring Operation: 66-64=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[46, 84], Operations: ['36+10=46', '66+18=84']
Exploring Operation: 46+84=130, Resulting Numbers: [130]
130,71 unequal: No Solution
Exploring Operation: 84-46=38, Resulting Numbers: [38]
38,71 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
91,
2,
42,
86
] | 26 | [
"91-86=5",
"42/2=21",
"5+21=26"
] | Current State: 26:[91, 2, 42, 86], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [2, 42, 5]
Generated Node #2: [2, 42, 5] from Operation: 91-86=5
Current State: 26:[2, 42, 5], Operations: ['91-86=5']
Exploring Operation: 42/2=21, Resulting Numbers: [5, 21]
Generated Node #3: [5, 21] from Operation: 42/2=21
Current State: 26:[5, 21], Operations: ['91-86=5', '42/2=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[91, 2, 42, 86], Operations: []
Exploring Operation: 86/2=43, Resulting Numbers: [91, 42, 43]
Generated Node #0,0: 26:[91, 42, 43] Operation: 86/2=43
Exploring Operation: 86-42=44, Resulting Numbers: [91, 2, 44]
Generated Node #0,1: 26:[91, 2, 44] Operation: 86-42=44
Exploring Operation: 91-42=49, Resulting Numbers: [2, 86, 49]
Generated Node #0,2: 26:[2, 86, 49] Operation: 91-42=49
Exploring Operation: 91-86=5, Resulting Numbers: [2, 42, 5]
Generated Node #0,3: 26:[2, 42, 5] Operation: 91-86=5
Moving to Node #0,3
Current State: 26:[2, 42, 5], Operations: ['91-86=5']
Exploring Operation: 42-2=40, Resulting Numbers: [5, 40]
Generated Node #0,3,0: 26:[5, 40] Operation: 42-2=40
Exploring Operation: 42-5=37, Resulting Numbers: [2, 37]
Generated Node #0,3,1: 26:[2, 37] Operation: 42-5=37
Exploring Operation: 42/2=21, Resulting Numbers: [5, 21]
Generated Node #0,3,2: 26:[5, 21] Operation: 42/2=21
Exploring Operation: 5-2=3, Resulting Numbers: [42, 3]
Generated Node #0,3,3: 26:[42, 3] Operation: 5-2=3
Moving to Node #0,2
Current State: 26:[2, 86, 49], Operations: ['91-42=49']
Exploring Operation: 86-2=84, Resulting Numbers: [49, 84]
Generated Node #0,2,0: 26:[49, 84] Operation: 86-2=84
Exploring Operation: 86-49=37, Resulting Numbers: [2, 37]
Generated Node #0,2,1: 26:[2, 37] Operation: 86-49=37
Exploring Operation: 49-2=47, Resulting Numbers: [86, 47]
Generated Node #0,2,2: 26:[86, 47] Operation: 49-2=47
Exploring Operation: 86/2=43, Resulting Numbers: [49, 43]
Generated Node #0,2,3: 26:[49, 43] Operation: 86/2=43
Moving to Node #0,1
Current State: 26:[91, 2, 44], Operations: ['86-42=44']
Exploring Operation: 91-2=89, Resulting Numbers: [44, 89]
Generated Node #0,1,0: 26:[44, 89] Operation: 91-2=89
Exploring Operation: 44-2=42, Resulting Numbers: [91, 42]
Generated Node #0,1,1: 26:[91, 42] Operation: 44-2=42
Exploring Operation: 91-44=47, Resulting Numbers: [2, 47]
Generated Node #0,1,2: 26:[2, 47] Operation: 91-44=47
Exploring Operation: 44/2=22, Resulting Numbers: [91, 22]
Generated Node #0,1,3: 26:[91, 22] Operation: 44/2=22
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 26:[2, 47], Operations: ['86-42=44', '91-44=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,26 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,26 unequal: No Solution
No solution 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: 26:[91, 22], Operations: ['86-42=44', '44/2=22']
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,26 unequal: No Solution
Exploring Operation: 91*22=2002, Resulting Numbers: [2002]
2002,26 unequal: No Solution
Exploring Operation: 91+22=113, Resulting Numbers: [113]
113,26 unequal: No Solution
No solution 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: 26:[44, 89], Operations: ['86-42=44', '91-2=89']
Exploring Operation: 89-44=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 44*89=3916, Resulting Numbers: [3916]
3916,26 unequal: No Solution
Exploring Operation: 44+89=133, Resulting Numbers: [133]
133,26 unequal: No Solution
No solution 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: 26:[91, 42], Operations: ['86-42=44', '44-2=42']
Exploring Operation: 91-42=49, Resulting Numbers: [49]
49,26 unequal: No Solution
Exploring Operation: 91*42=3822, Resulting Numbers: [3822]
3822,26 unequal: No Solution
Exploring Operation: 91+42=133, Resulting Numbers: [133]
133,26 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: 26:[91, 42, 43], Operations: ['86/2=43']
Exploring Operation: 43-42=1, Resulting Numbers: [91, 1]
Generated Node #0,0,0: 26:[91, 1] Operation: 43-42=1
Exploring Operation: 91+42=133, Resulting Numbers: [43, 133]
Generated Node #0,0,1: 26:[43, 133] Operation: 91+42=133
Exploring Operation: 91-43=48, Resulting Numbers: [42, 48]
Generated Node #0,0,2: 26:[42, 48] Operation: 91-43=48
Exploring Operation: 91-42=49, Resulting Numbers: [43, 49]
Generated Node #0,0,3: 26:[43, 49] Operation: 91-42=49
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 26:[42, 48], Operations: ['86/2=43', '91-43=48']
Exploring Operation: 42+48=90, Resulting Numbers: [90]
90,26 unequal: No Solution
Exploring Operation: 42*48=2016, Resulting Numbers: [2016]
2016,26 unequal: No Solution
Exploring Operation: 48-42=6, Resulting Numbers: [6]
6,26 unequal: No Solution
No 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: 26:[43, 49], Operations: ['86/2=43', '91-42=49']
Exploring Operation: 43*49=2107, Resulting Numbers: [2107]
2107,26 unequal: No Solution
Exploring Operation: 49-43=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Exploring Operation: 43+49=92, Resulting Numbers: [92]
92,26 unequal: No Solution
No 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: 26:[91, 1], Operations: ['86/2=43', '43-42=1']
Exploring Operation: 91/1=91, Resulting Numbers: [91]
91,26 unequal: No Solution
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,26 unequal: No Solution
Exploring Operation: 91+1=92, Resulting Numbers: [92]
92,26 unequal: No Solution
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,26 unequal: No Solution
No 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: 26:[43, 133], Operations: ['86/2=43', '91+42=133']
Exploring Operation: 43*133=5719, Resulting Numbers: [5719]
5719,26 unequal: No Solution
Exploring Operation: 133-43=90, Resulting Numbers: [90]
90,26 unequal: No Solution
Exploring Operation: 43+133=176, Resulting Numbers: [176]
176,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 26:[5, 21], Operations: ['91-86=5', '42/2=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,26 unequal: No Solution
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,26 unequal: No Solution
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[91, 2, 42, 86], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [2, 42, 5]
Generated Node #0,3: 26:[2, 42, 5] Operation: 91-86=5
Moving to Node #0,3
Current State: 26:[2, 42, 5], Operations: ['91-86=5']
Exploring Operation: 42/2=21, Resulting Numbers: [5, 21]
Generated Node #0,3,2: 26:[5, 21] Operation: 42/2=21
Moving to Node #0,3,2
Current State: 26:[5, 21], Operations: ['91-86=5', '42/2=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 0.954861 | hs_4 | mult_heuristic |
[
4,
8,
25,
20
] | 28 | [
"4+20=24",
"24/8=3",
"25+3=28"
] | Current State: 28:[4, 8, 25, 20], Operations: []
Exploring Operation: 4+20=24, Resulting Numbers: [8, 25, 24]
Generated Node #2: [8, 25, 24] from Operation: 4+20=24
Current State: 28:[8, 25, 24], Operations: ['4+20=24']
Exploring Operation: 24/8=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 24/8=3
Current State: 28:[25, 3], Operations: ['4+20=24', '24/8=3']
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[4, 8, 25, 20], Operations: []
Exploring Operation: 8+20=28, Resulting Numbers: [4, 25, 28]
Generated Node #0,0: 28:[4, 25, 28] Operation: 8+20=28
Exploring Operation: 20/4=5, Resulting Numbers: [8, 25, 5]
Generated Node #0,1: 28:[8, 25, 5] Operation: 20/4=5
Exploring Operation: 25-20=5, Resulting Numbers: [4, 8, 5]
Generated Node #0,2: 28:[4, 8, 5] Operation: 25-20=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[4, 8, 5], Operations: ['25-20=5']
Exploring Operation: 8/4=2, Resulting Numbers: [5, 2]
Generated Node #0,2,0: 28:[5, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [5, 4]
Generated Node #0,2,1: 28:[5, 4] Operation: 8-4=4
Exploring Operation: 8+5=13, Resulting Numbers: [4, 13]
Generated Node #0,2,2: 28:[4, 13] Operation: 8+5=13
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[5, 2], Operations: ['25-20=5', '8/4=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,28 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,28 unequal: No Solution
No 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: 28:[5, 4], Operations: ['25-20=5', '8-4=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,28 unequal: No Solution
No 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: 28:[4, 13], Operations: ['25-20=5', '8+5=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,28 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: 28:[4, 25, 28], Operations: ['8+20=28']
Exploring Operation: 28-25=3, Resulting Numbers: [4, 3]
Generated Node #0,0,0: 28:[4, 3] Operation: 28-25=3
Exploring Operation: 4+25=29, Resulting Numbers: [28, 29]
Generated Node #0,0,1: 28:[28, 29] Operation: 4+25=29
Exploring Operation: 28/4=7, Resulting Numbers: [25, 7]
Generated Node #0,0,2: 28:[25, 7] Operation: 28/4=7
Moving to Node #0,0,0
Current State: 28:[4, 3], Operations: ['8+20=28', '28-25=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[28, 29], Operations: ['8+20=28', '4+25=29']
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,28 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 28*29=812, Resulting Numbers: [812]
812,28 unequal: No Solution
Moving to Node #0,0,2
Current State: 28:[25, 7], Operations: ['8+20=28', '28/4=7']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Exploring Operation: 25*7=175, Resulting Numbers: [175]
175,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[8, 25, 5], Operations: ['20/4=5']
Exploring Operation: 25+5=30, Resulting Numbers: [8, 30]
Generated Node #0,1,0: 28:[8, 30] Operation: 25+5=30
Exploring Operation: 25-8=17, Resulting Numbers: [5, 17]
Generated Node #0,1,1: 28:[5, 17] Operation: 25-8=17
Exploring Operation: 25/5=5, Resulting Numbers: [8, 5]
Generated Node #0,1,2: 28:[8, 5] Operation: 25/5=5
Moving to Node #0,1,2
Current State: 28:[8, 5], Operations: ['20/4=5', '25/5=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,28 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[8, 30], Operations: ['20/4=5', '25+5=30']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,28 unequal: No Solution
Exploring Operation: 8*30=240, Resulting Numbers: [240]
240,28 unequal: No Solution
Exploring Operation: 8+30=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[5, 17], Operations: ['20/4=5', '25-8=17']
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,28 unequal: No Solution
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,28 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,28 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 |
[
25,
18,
22,
10
] | 24 | [
"25-22=3",
"18-10=8",
"3*8=24"
] | Current State: 24:[25, 18, 22, 10], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [18, 10, 3]
Generated Node #2: [18, 10, 3] from Operation: 25-22=3
Current State: 24:[18, 10, 3], Operations: ['25-22=3']
Exploring Operation: 18-10=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 18-10=8
Current State: 24:[3, 8], Operations: ['25-22=3', '18-10=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[25, 18, 22, 10], Operations: []
Exploring Operation: 22-18=4, Resulting Numbers: [25, 10, 4]
Generated Node #0,0: 24:[25, 10, 4] Operation: 22-18=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[25, 10, 4], Operations: ['22-18=4']
Exploring Operation: 10-4=6, Resulting Numbers: [25, 6]
Generated Node #0,0,0: 24:[25, 6] Operation: 10-4=6
Moving to Node #0,0,0
Current State: 24:[25, 6], Operations: ['22-18=4', '10-4=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,24 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 |
[
69,
49,
34,
3
] | 16 | [
"69+49=118",
"34*3=102",
"118-102=16"
] | Current State: 16:[69, 49, 34, 3], Operations: []
Exploring Operation: 69+49=118, Resulting Numbers: [34, 3, 118]
Generated Node #2: [34, 3, 118] from Operation: 69+49=118
Current State: 16:[34, 3, 118], Operations: ['69+49=118']
Exploring Operation: 34*3=102, Resulting Numbers: [118, 102]
Generated Node #3: [118, 102] from Operation: 34*3=102
Current State: 16:[118, 102], Operations: ['69+49=118', '34*3=102']
Exploring Operation: 118-102=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[69, 49, 34, 3], Operations: []
Exploring Operation: 69-3=66, Resulting Numbers: [49, 34, 66]
Generated Node #0,0: 16:[49, 34, 66] Operation: 69-3=66
Exploring Operation: 49-34=15, Resulting Numbers: [69, 3, 15]
Generated Node #0,1: 16:[69, 3, 15] Operation: 49-34=15
Exploring Operation: 69-34=35, Resulting Numbers: [49, 3, 35]
Generated Node #0,2: 16:[49, 3, 35] Operation: 69-34=35
Exploring Operation: 69/3=23, Resulting Numbers: [49, 34, 23]
Generated Node #0,3: 16:[49, 34, 23] Operation: 69/3=23
Exploring Operation: 69-49=20, Resulting Numbers: [34, 3, 20]
Generated Node #0,4: 16:[34, 3, 20] Operation: 69-49=20
Moving to Node #0,4
Current State: 16:[34, 3, 20], Operations: ['69-49=20']
Exploring Operation: 34-3=31, Resulting Numbers: [20, 31]
Generated Node #0,4,0: 16:[20, 31] Operation: 34-3=31
Exploring Operation: 34-20=14, Resulting Numbers: [3, 14]
Generated Node #0,4,1: 16:[3, 14] Operation: 34-20=14
Exploring Operation: 3+20=23, Resulting Numbers: [34, 23]
Generated Node #0,4,2: 16:[34, 23] Operation: 3+20=23
Exploring Operation: 20-3=17, Resulting Numbers: [34, 17]
Generated Node #0,4,3: 16:[34, 17] Operation: 20-3=17
Exploring Operation: 34+3=37, Resulting Numbers: [20, 37]
Generated Node #0,4,4: 16:[20, 37] Operation: 34+3=37
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 16:[3, 14], Operations: ['69-49=20', '34-20=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,16 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 16:[20, 31], Operations: ['69-49=20', '34-3=31']
Exploring Operation: 20+31=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 20*31=620, Resulting Numbers: [620]
620,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 16:[34, 17], Operations: ['69-49=20', '20-3=17']
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 34*17=578, Resulting Numbers: [578]
578,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 16:[34, 23], Operations: ['69-49=20', '3+20=23']
Exploring Operation: 34*23=782, Resulting Numbers: [782]
782,16 unequal: No Solution
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,16 unequal: No Solution
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 16:[20, 37], Operations: ['69-49=20', '34+3=37']
Exploring Operation: 20*37=740, Resulting Numbers: [740]
740,16 unequal: No Solution
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 16:[49, 3, 35], Operations: ['69-34=35']
Exploring Operation: 3+35=38, Resulting Numbers: [49, 38]
Generated Node #0,2,0: 16:[49, 38] Operation: 3+35=38
Exploring Operation: 49-35=14, Resulting Numbers: [3, 14]
Generated Node #0,2,1: 16:[3, 14] Operation: 49-35=14
Exploring Operation: 49+3=52, Resulting Numbers: [35, 52]
Generated Node #0,2,2: 16:[35, 52] Operation: 49+3=52
Exploring Operation: 35-3=32, Resulting Numbers: [49, 32]
Generated Node #0,2,3: 16:[49, 32] Operation: 35-3=32
Exploring Operation: 49-3=46, Resulting Numbers: [35, 46]
Generated Node #0,2,4: 16:[35, 46] Operation: 49-3=46
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 16:[3, 14], Operations: ['69-34=35', '49-35=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,16 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 16:[49, 32], Operations: ['69-34=35', '35-3=32']
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 49*32=1568, Resulting Numbers: [1568]
1568,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 16:[35, 46], Operations: ['69-34=35', '49-3=46']
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 35*46=1610, Resulting Numbers: [1610]
1610,16 unequal: No Solution
Exploring Operation: 35+46=81, Resulting Numbers: [81]
81,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 16:[49, 38], Operations: ['69-34=35', '3+35=38']
Exploring Operation: 49*38=1862, Resulting Numbers: [1862]
1862,16 unequal: No Solution
Exploring Operation: 49+38=87, Resulting Numbers: [87]
87,16 unequal: No Solution
Exploring Operation: 49-38=11, Resulting Numbers: [11]
11,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 16:[35, 52], Operations: ['69-34=35', '49+3=52']
Exploring Operation: 35*52=1820, Resulting Numbers: [1820]
1820,16 unequal: No Solution
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 35+52=87, Resulting Numbers: [87]
87,16 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: 16:[69, 3, 15], Operations: ['49-34=15']
Exploring Operation: 69-3=66, Resulting Numbers: [15, 66]
Generated Node #0,1,0: 16:[15, 66] Operation: 69-3=66
Exploring Operation: 69/3=23, Resulting Numbers: [15, 23]
Generated Node #0,1,1: 16:[15, 23] Operation: 69/3=23
Exploring Operation: 15/3=5, Resulting Numbers: [69, 5]
Generated Node #0,1,2: 16:[69, 5] Operation: 15/3=5
Exploring Operation: 69-15=54, Resulting Numbers: [3, 54]
Generated Node #0,1,3: 16:[3, 54] Operation: 69-15=54
Exploring Operation: 3+15=18, Resulting Numbers: [69, 18]
Generated Node #0,1,4: 16:[69, 18] Operation: 3+15=18
Moving to Node #0,3
Current State: 16:[49, 34, 23], Operations: ['69/3=23']
Exploring Operation: 34-23=11, Resulting Numbers: [49, 11]
Generated Node #0,3,0: 16:[49, 11] Operation: 34-23=11
Exploring Operation: 49+34=83, Resulting Numbers: [23, 83]
Generated Node #0,3,1: 16:[23, 83] Operation: 49+34=83
Exploring Operation: 49-23=26, Resulting Numbers: [34, 26]
Generated Node #0,3,2: 16:[34, 26] Operation: 49-23=26
Exploring Operation: 49-34=15, Resulting Numbers: [23, 15]
Generated Node #0,3,3: 16:[23, 15] Operation: 49-34=15
Exploring Operation: 49+23=72, Resulting Numbers: [34, 72]
Generated Node #0,3,4: 16:[34, 72] Operation: 49+23=72
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 16:[23, 15], Operations: ['69/3=23', '49-34=15']
Exploring Operation: 23*15=345, Resulting Numbers: [345]
345,16 unequal: No Solution
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,16 unequal: No Solution
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,16 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 #0,3,2
Current State: 16:[34, 26], Operations: ['69/3=23', '49-23=26']
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,16 unequal: No Solution
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 16:[49, 11], Operations: ['69/3=23', '34-23=11']
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,16 unequal: No Solution
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 49*11=539, Resulting Numbers: [539]
539,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 16:[23, 83], Operations: ['69/3=23', '49+34=83']
Exploring Operation: 83-23=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 23+83=106, Resulting Numbers: [106]
106,16 unequal: No Solution
Exploring Operation: 23*83=1909, Resulting Numbers: [1909]
1909,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 16:[34, 72], Operations: ['69/3=23', '49+23=72']
Exploring Operation: 72-34=38, Resulting Numbers: [38]
38,16 unequal: No Solution
Exploring Operation: 34+72=106, Resulting Numbers: [106]
106,16 unequal: No Solution
Exploring Operation: 34*72=2448, Resulting Numbers: [2448]
2448,16 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: 16:[49, 34, 66], Operations: ['69-3=66']
Exploring Operation: 49-34=15, Resulting Numbers: [66, 15]
Generated Node #0,0,0: 16:[66, 15] Operation: 49-34=15
Exploring Operation: 66-49=17, Resulting Numbers: [34, 17]
Generated Node #0,0,1: 16:[34, 17] Operation: 66-49=17
Exploring Operation: 49+66=115, Resulting Numbers: [34, 115]
Generated Node #0,0,2: 16:[34, 115] Operation: 49+66=115
Exploring Operation: 66-34=32, Resulting Numbers: [49, 32]
Generated Node #0,0,3: 16:[49, 32] Operation: 66-34=32
Exploring Operation: 49+34=83, Resulting Numbers: [66, 83]
Generated Node #0,0,4: 16:[66, 83] Operation: 49+34=83
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[34, 17], Operations: ['69-3=66', '66-49=17']
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 34*17=578, Resulting Numbers: [578]
578,16 unequal: No Solution
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 16:[49, 32], Operations: ['69-3=66', '66-34=32']
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 49*32=1568, Resulting Numbers: [1568]
1568,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[66, 15], Operations: ['69-3=66', '49-34=15']
Exploring Operation: 66*15=990, Resulting Numbers: [990]
990,16 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 66+15=81, Resulting Numbers: [81]
81,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 16:[34, 115], Operations: ['69-3=66', '49+66=115']
Exploring Operation: 115-34=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 34*115=3910, Resulting Numbers: [3910]
3910,16 unequal: No Solution
Exploring Operation: 34+115=149, Resulting Numbers: [149]
149,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 16:[66, 83], Operations: ['69-3=66', '49+34=83']
Exploring Operation: 66*83=5478, Resulting Numbers: [5478]
5478,16 unequal: No Solution
Exploring Operation: 83-66=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 66+83=149, Resulting Numbers: [149]
149,16 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: 16:[15, 23], Operations: ['49-34=15', '69/3=23']
Exploring Operation: 15+23=38, Resulting Numbers: [38]
38,16 unequal: No Solution
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 15*23=345, Resulting Numbers: [345]
345,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[3, 54], Operations: ['49-34=15', '69-15=54']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 3*54=162, Resulting Numbers: [162]
162,16 unequal: No Solution
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 3+54=57, Resulting Numbers: [57]
57,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[15, 66], Operations: ['49-34=15', '69-3=66']
Exploring Operation: 15*66=990, Resulting Numbers: [990]
990,16 unequal: No Solution
Exploring Operation: 15+66=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[69, 5], Operations: ['49-34=15', '15/3=5']
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,16 unequal: No Solution
Exploring Operation: 69*5=345, Resulting Numbers: [345]
345,16 unequal: No Solution
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,16 unequal: No Solution
Moving to Node #0,1,4
Current State: 16:[69, 18], Operations: ['49-34=15', '3+15=18']
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,16 unequal: No Solution
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,16 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
88,
37,
44,
45
] | 16 | [
"88/44=2",
"45-37=8",
"2*8=16"
] | Current State: 16:[88, 37, 44, 45], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [37, 45, 2]
Generated Node #2: [37, 45, 2] from Operation: 88/44=2
Current State: 16:[37, 45, 2], Operations: ['88/44=2']
Exploring Operation: 45-37=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 45-37=8
Current State: 16:[2, 8], Operations: ['88/44=2', '45-37=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[88, 37, 44, 45], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [37, 45, 2]
Generated Node #0,0: 16:[37, 45, 2] Operation: 88/44=2
Exploring Operation: 88-37=51, Resulting Numbers: [44, 45, 51]
Generated Node #0,1: 16:[44, 45, 51] Operation: 88-37=51
Exploring Operation: 88-44=44, Resulting Numbers: [37, 45, 44]
Generated Node #0,2: 16:[37, 45, 44] Operation: 88-44=44
Exploring Operation: 88-45=43, Resulting Numbers: [37, 44, 43]
Generated Node #0,3: 16:[37, 44, 43] Operation: 88-45=43
Exploring Operation: 45-44=1, Resulting Numbers: [88, 37, 1]
Generated Node #0,4: 16:[88, 37, 1] Operation: 45-44=1
Moving to Node #0,0
Current State: 16:[37, 45, 2], Operations: ['88/44=2']
Exploring Operation: 37-2=35, Resulting Numbers: [45, 35]
Generated Node #0,0,0: 16:[45, 35] Operation: 37-2=35
Exploring Operation: 45+2=47, Resulting Numbers: [37, 47]
Generated Node #0,0,1: 16:[37, 47] Operation: 45+2=47
Exploring Operation: 45-37=8, Resulting Numbers: [2, 8]
Generated Node #0,0,2: 16:[2, 8] Operation: 45-37=8
Exploring Operation: 37+2=39, Resulting Numbers: [45, 39]
Generated Node #0,0,3: 16:[45, 39] Operation: 37+2=39
Exploring Operation: 45-2=43, Resulting Numbers: [37, 43]
Generated Node #0,0,4: 16:[37, 43] Operation: 45-2=43
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 16:[2, 8], Operations: ['88/44=2', '45-37=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,16 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,16 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[88, 37, 44, 45], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [37, 45, 2]
Generated Node #0,0: 16:[37, 45, 2] Operation: 88/44=2
Moving to Node #0,0
Current State: 16:[37, 45, 2], Operations: ['88/44=2']
Exploring Operation: 45-37=8, Resulting Numbers: [2, 8]
Generated Node #0,0,2: 16:[2, 8] Operation: 45-37=8
Moving to Node #0,0,2
Current State: 16:[2, 8], Operations: ['88/44=2', '45-37=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
85,
43,
76,
81
] | 96 | [
"85-81=4",
"43*4=172",
"172-76=96"
] | Current State: 96:[85, 43, 76, 81], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [43, 76, 4]
Generated Node #2: [43, 76, 4] from Operation: 85-81=4
Current State: 96:[43, 76, 4], Operations: ['85-81=4']
Exploring Operation: 43*4=172, Resulting Numbers: [76, 172]
Generated Node #3: [76, 172] from Operation: 43*4=172
Current State: 96:[76, 172], Operations: ['85-81=4', '43*4=172']
Exploring Operation: 172-76=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[85, 43, 76, 81], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [43, 81, 9]
Generated Node #0,0: 96:[43, 81, 9] Operation: 85-76=9
Exploring Operation: 85-81=4, Resulting Numbers: [43, 76, 4]
Generated Node #0,1: 96:[43, 76, 4] Operation: 85-81=4
Exploring Operation: 81-76=5, Resulting Numbers: [85, 43, 5]
Generated Node #0,2: 96:[85, 43, 5] Operation: 81-76=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[85, 43, 5], Operations: ['81-76=5']
Exploring Operation: 85-43=42, Resulting Numbers: [5, 42]
Generated Node #0,2,0: 96:[5, 42] Operation: 85-43=42
Exploring Operation: 85+5=90, Resulting Numbers: [43, 90]
Generated Node #0,2,1: 96:[43, 90] Operation: 85+5=90
Exploring Operation: 85/5=17, Resulting Numbers: [43, 17]
Generated Node #0,2,2: 96:[43, 17] Operation: 85/5=17
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 96:[43, 17], Operations: ['81-76=5', '85/5=17']
Exploring Operation: 43*17=731, Resulting Numbers: [731]
731,96 unequal: No Solution
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 43+17=60, Resulting Numbers: [60]
60,96 unequal: No Solution
No 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: 96:[5, 42], Operations: ['81-76=5', '85-43=42']
Exploring Operation: 5*42=210, Resulting Numbers: [210]
210,96 unequal: No Solution
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,96 unequal: No Solution
No 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: 96:[43, 90], Operations: ['81-76=5', '85+5=90']
Exploring Operation: 43*90=3870, Resulting Numbers: [3870]
3870,96 unequal: No Solution
Exploring Operation: 90-43=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 43+90=133, Resulting Numbers: [133]
133,96 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: 96:[43, 81, 9], Operations: ['85-76=9']
Exploring Operation: 81-43=38, Resulting Numbers: [9, 38]
Generated Node #0,0,0: 96:[9, 38] Operation: 81-43=38
Exploring Operation: 81+9=90, Resulting Numbers: [43, 90]
Generated Node #0,0,1: 96:[43, 90] Operation: 81+9=90
Exploring Operation: 81/9=9, Resulting Numbers: [43, 9]
Generated Node #0,0,2: 96:[43, 9] Operation: 81/9=9
Moving to Node #0,0,2
Current State: 96:[43, 9], Operations: ['85-76=9', '81/9=9']
Exploring Operation: 43*9=387, Resulting Numbers: [387]
387,96 unequal: No Solution
Exploring Operation: 43+9=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[9, 38], Operations: ['85-76=9', '81-43=38']
Exploring Operation: 9+38=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 9*38=342, Resulting Numbers: [342]
342,96 unequal: No Solution
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[43, 90], Operations: ['85-76=9', '81+9=90']
Exploring Operation: 43*90=3870, Resulting Numbers: [3870]
3870,96 unequal: No Solution
Exploring Operation: 43+90=133, Resulting Numbers: [133]
133,96 unequal: No Solution
Exploring Operation: 90-43=47, Resulting Numbers: [47]
47,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[43, 76, 4], Operations: ['85-81=4']
Exploring Operation: 76-43=33, Resulting Numbers: [4, 33]
Generated Node #0,1,0: 96:[4, 33] Operation: 76-43=33
Exploring Operation: 76/4=19, Resulting Numbers: [43, 19]
Generated Node #0,1,1: 96:[43, 19] Operation: 76/4=19
Exploring Operation: 43+4=47, Resulting Numbers: [76, 47]
Generated Node #0,1,2: 96:[76, 47] Operation: 43+4=47
Moving to Node #0,1,0
Current State: 96:[4, 33], Operations: ['85-81=4', '76-43=33']
Exploring Operation: 4*33=132, Resulting Numbers: [132]
132,96 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[43, 19], Operations: ['85-81=4', '76/4=19']
Exploring Operation: 43+19=62, Resulting Numbers: [62]
62,96 unequal: No Solution
Exploring Operation: 43*19=817, Resulting Numbers: [817]
817,96 unequal: No Solution
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[76, 47], Operations: ['85-81=4', '43+4=47']
Exploring Operation: 76-47=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 76*47=3572, Resulting Numbers: [3572]
3572,96 unequal: No Solution
Exploring Operation: 76+47=123, Resulting Numbers: [123]
123,96 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 |
[
73,
3,
67,
99
] | 38 | [
"73-3=70",
"99-67=32",
"70-32=38"
] | Current State: 38:[73, 3, 67, 99], Operations: []
Exploring Operation: 73-3=70, Resulting Numbers: [67, 99, 70]
Generated Node #2: [67, 99, 70] from Operation: 73-3=70
Current State: 38:[67, 99, 70], Operations: ['73-3=70']
Exploring Operation: 99-67=32, Resulting Numbers: [70, 32]
Generated Node #3: [70, 32] from Operation: 99-67=32
Current State: 38:[70, 32], Operations: ['73-3=70', '99-67=32']
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[73, 3, 67, 99], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [3, 99, 6]
Generated Node #0,0: 38:[3, 99, 6] Operation: 73-67=6
Exploring Operation: 99-73=26, Resulting Numbers: [3, 67, 26]
Generated Node #0,1: 38:[3, 67, 26] Operation: 99-73=26
Exploring Operation: 99-67=32, Resulting Numbers: [73, 3, 32]
Generated Node #0,2: 38:[73, 3, 32] Operation: 99-67=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[3, 67, 26], Operations: ['99-73=26']
Exploring Operation: 67-3=64, Resulting Numbers: [26, 64]
Generated Node #0,1,0: 38:[26, 64] Operation: 67-3=64
Exploring Operation: 26-3=23, Resulting Numbers: [67, 23]
Generated Node #0,1,1: 38:[67, 23] Operation: 26-3=23
Exploring Operation: 67-26=41, Resulting Numbers: [3, 41]
Generated Node #0,1,2: 38:[3, 41] Operation: 67-26=41
Moving to Node #0,1,2
Current State: 38:[3, 41], Operations: ['99-73=26', '67-26=41']
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,38 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[73, 3, 67, 99], Operations: []
Exploring Operation: 99-73=26, Resulting Numbers: [3, 67, 26]
Generated Node #0,1: 38:[3, 67, 26] Operation: 99-73=26
Moving to Node #0,1
Current State: 38:[3, 67, 26], Operations: ['99-73=26']
Exploring Operation: 67-26=41, Resulting Numbers: [3, 41]
Generated Node #0,1,2: 38:[3, 41] Operation: 67-26=41
Moving to Node #0,1,2
Current State: 38:[3, 41], Operations: ['99-73=26', '67-26=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
4,
26,
26,
98
] | 44 | [
"98-26=72",
"72/4=18",
"26+18=44"
] | Current State: 44:[4, 26, 26, 98], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [4, 72]
Generated Node #2: [4, 72] from Operation: 98-26=72
Current State: 44:[4, 72], Operations: ['98-26=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,44 equal: Goal Reached
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[4, 26, 26, 98], Operations: []
Exploring Operation: 26/26=1, Resulting Numbers: [4, 98, 1]
Generated Node #0,0: 44:[4, 98, 1] Operation: 26/26=1
Exploring Operation: 98-26=72, Resulting Numbers: [4, 26, 72]
Generated Node #0,1: 44:[4, 26, 72] Operation: 98-26=72
Exploring Operation: 26-26=0, Resulting Numbers: [4, 98, 0]
Generated Node #0,2: 44:[4, 98, 0] Operation: 26-26=0
Exploring Operation: 98-26=72, Resulting Numbers: [4, 26, 72]
Generated Node #0,3: 44:[4, 26, 72] Operation: 98-26=72
Exploring Operation: 26-4=22, Resulting Numbers: [26, 98, 22]
Generated Node #0,4: 44:[26, 98, 22] Operation: 26-4=22
Moving to Node #0,1
Current State: 44:[4, 26, 72], Operations: ['98-26=72']
Exploring Operation: 72/4=18, Resulting Numbers: [26, 18]
Generated Node #0,1,0: 44:[26, 18] Operation: 72/4=18
Exploring Operation: 72-26=46, Resulting Numbers: [4, 46]
Generated Node #0,1,1: 44:[4, 46] Operation: 72-26=46
Exploring Operation: 4+26=30, Resulting Numbers: [72, 30]
Generated Node #0,1,2: 44:[72, 30] Operation: 4+26=30
Exploring Operation: 26-4=22, Resulting Numbers: [72, 22]
Generated Node #0,1,3: 44:[72, 22] Operation: 26-4=22
Exploring Operation: 72-4=68, Resulting Numbers: [26, 68]
Generated Node #0,1,4: 44:[26, 68] Operation: 72-4=68
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[4, 46], Operations: ['98-26=72', '72-26=46']
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,44 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,44 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,44 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 #0,1,0
Current State: 44:[26, 18], Operations: ['98-26=72', '72/4=18']
Exploring Operation: 26*18=468, Resulting Numbers: [468]
468,44 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[4, 26, 26, 98], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [4, 26, 72]
Generated Node #0,1: 44:[4, 26, 72] Operation: 98-26=72
Moving to Node #0,1
Current State: 44:[4, 26, 72], Operations: ['98-26=72']
Exploring Operation: 72/4=18, Resulting Numbers: [26, 18]
Generated Node #0,1,0: 44:[26, 18] Operation: 72/4=18
Moving to Node #0,1,0
Current State: 44:[26, 18], Operations: ['98-26=72', '72/4=18']
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
87,
21,
84,
18
] | 11 | [
"87-84=3",
"21/3=7",
"18-7=11"
] | Current State: 11:[87, 21, 84, 18], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [21, 18, 3]
Generated Node #2: [21, 18, 3] from Operation: 87-84=3
Current State: 11:[21, 18, 3], Operations: ['87-84=3']
Exploring Operation: 21/3=7, Resulting Numbers: [18, 7]
Generated Node #3: [18, 7] from Operation: 21/3=7
Current State: 11:[18, 7], Operations: ['87-84=3', '21/3=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[87, 21, 84, 18], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [87, 18, 4]
Generated Node #0,0: 11:[87, 18, 4] Operation: 84/21=4
Exploring Operation: 87-21=66, Resulting Numbers: [84, 18, 66]
Generated Node #0,1: 11:[84, 18, 66] Operation: 87-21=66
Exploring Operation: 87-84=3, Resulting Numbers: [21, 18, 3]
Generated Node #0,2: 11:[21, 18, 3] Operation: 87-84=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[21, 18, 3], Operations: ['87-84=3']
Exploring Operation: 21/3=7, Resulting Numbers: [18, 7]
Generated Node #0,2,0: 11:[18, 7] Operation: 21/3=7
Exploring Operation: 21-3=18, Resulting Numbers: [18, 18]
Generated Node #0,2,1: 11:[18, 18] Operation: 21-3=18
Exploring Operation: 18-3=15, Resulting Numbers: [21, 15]
Generated Node #0,2,2: 11:[21, 15] Operation: 18-3=15
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 11:[18, 7], Operations: ['87-84=3', '21/3=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[87, 21, 84, 18], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [21, 18, 3]
Generated Node #0,2: 11:[21, 18, 3] Operation: 87-84=3
Moving to Node #0,2
Current State: 11:[21, 18, 3], Operations: ['87-84=3']
Exploring Operation: 21/3=7, Resulting Numbers: [18, 7]
Generated Node #0,2,0: 11:[18, 7] Operation: 21/3=7
Moving to Node #0,2,0
Current State: 11:[18, 7], Operations: ['87-84=3', '21/3=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
32,
11,
35,
75
] | 33 | [
"75-11=64",
"64/32=2",
"35-2=33"
] | Current State: 33:[32, 11, 35, 75], Operations: []
Exploring Operation: 75-11=64, Resulting Numbers: [32, 35, 64]
Generated Node #2: [32, 35, 64] from Operation: 75-11=64
Current State: 33:[32, 35, 64], Operations: ['75-11=64']
Exploring Operation: 64/32=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 64/32=2
Current State: 33:[35, 2], Operations: ['75-11=64', '64/32=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[32, 11, 35, 75], Operations: []
Exploring Operation: 75-35=40, Resulting Numbers: [32, 11, 40]
Generated Node #0,0: 33:[32, 11, 40] Operation: 75-35=40
Exploring Operation: 35-32=3, Resulting Numbers: [11, 75, 3]
Generated Node #0,1: 33:[11, 75, 3] Operation: 35-32=3
Exploring Operation: 75-32=43, Resulting Numbers: [11, 35, 43]
Generated Node #0,2: 33:[11, 35, 43] Operation: 75-32=43
Exploring Operation: 75-11=64, Resulting Numbers: [32, 35, 64]
Generated Node #0,3: 33:[32, 35, 64] Operation: 75-11=64
Exploring Operation: 35-11=24, Resulting Numbers: [32, 75, 24]
Generated Node #0,4: 33:[32, 75, 24] Operation: 35-11=24
Moving to Node #0,0
Current State: 33:[32, 11, 40], Operations: ['75-35=40']
Exploring Operation: 32+11=43, Resulting Numbers: [40, 43]
Generated Node #0,0,0: 33:[40, 43] Operation: 32+11=43
Exploring Operation: 40-11=29, Resulting Numbers: [32, 29]
Generated Node #0,0,1: 33:[32, 29] Operation: 40-11=29
Exploring Operation: 40-32=8, Resulting Numbers: [11, 8]
Generated Node #0,0,2: 33:[11, 8] Operation: 40-32=8
Exploring Operation: 11+40=51, Resulting Numbers: [32, 51]
Generated Node #0,0,3: 33:[32, 51] Operation: 11+40=51
Exploring Operation: 32-11=21, Resulting Numbers: [40, 21]
Generated Node #0,0,4: 33:[40, 21] Operation: 32-11=21
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 33:[11, 8], Operations: ['75-35=40', '40-32=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,33 unequal: No Solution
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 33:[32, 29], Operations: ['75-35=40', '40-11=29']
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,33 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[40, 43], Operations: ['75-35=40', '32+11=43']
Exploring Operation: 40*43=1720, Resulting Numbers: [1720]
1720,33 unequal: No Solution
Exploring Operation: 40+43=83, Resulting Numbers: [83]
83,33 unequal: No Solution
Exploring Operation: 43-40=3, Resulting Numbers: [3]
3,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 33:[40, 21], Operations: ['75-35=40', '32-11=21']
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,33 unequal: No Solution
Exploring Operation: 40*21=840, Resulting Numbers: [840]
840,33 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 33:[32, 51], Operations: ['75-35=40', '11+40=51']
Exploring Operation: 32*51=1632, Resulting Numbers: [1632]
1632,33 unequal: No Solution
Exploring Operation: 32+51=83, Resulting Numbers: [83]
83,33 unequal: No Solution
Exploring Operation: 51-32=19, Resulting Numbers: [19]
19,33 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: 33:[11, 35, 43], Operations: ['75-32=43']
Exploring Operation: 43-35=8, Resulting Numbers: [11, 8]
Generated Node #0,2,0: 33:[11, 8] Operation: 43-35=8
Exploring Operation: 35-11=24, Resulting Numbers: [43, 24]
Generated Node #0,2,1: 33:[43, 24] Operation: 35-11=24
Exploring Operation: 11+43=54, Resulting Numbers: [35, 54]
Generated Node #0,2,2: 33:[35, 54] Operation: 11+43=54
Exploring Operation: 11+35=46, Resulting Numbers: [43, 46]
Generated Node #0,2,3: 33:[43, 46] Operation: 11+35=46
Exploring Operation: 43-11=32, Resulting Numbers: [35, 32]
Generated Node #0,2,4: 33:[35, 32] Operation: 43-11=32
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 33:[11, 8], Operations: ['75-32=43', '43-35=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 33:[35, 32], Operations: ['75-32=43', '43-11=32']
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,33 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 33:[43, 24], Operations: ['75-32=43', '35-11=24']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 43*24=1032, Resulting Numbers: [1032]
1032,33 unequal: No Solution
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 33:[35, 54], Operations: ['75-32=43', '11+43=54']
Exploring Operation: 35*54=1890, Resulting Numbers: [1890]
1890,33 unequal: No Solution
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 35+54=89, Resulting Numbers: [89]
89,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 33:[43, 46], Operations: ['75-32=43', '11+35=46']
Exploring Operation: 43+46=89, Resulting Numbers: [89]
89,33 unequal: No Solution
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 43*46=1978, Resulting Numbers: [1978]
1978,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 33:[32, 35, 64], Operations: ['75-11=64']
Exploring Operation: 64-32=32, Resulting Numbers: [35, 32]
Generated Node #0,3,0: 33:[35, 32] Operation: 64-32=32
Exploring Operation: 35-32=3, Resulting Numbers: [64, 3]
Generated Node #0,3,1: 33:[64, 3] Operation: 35-32=3
Exploring Operation: 64-35=29, Resulting Numbers: [32, 29]
Generated Node #0,3,2: 33:[32, 29] Operation: 64-35=29
Exploring Operation: 64/32=2, Resulting Numbers: [35, 2]
Generated Node #0,3,3: 33:[35, 2] Operation: 64/32=2
Exploring Operation: 32+35=67, Resulting Numbers: [64, 67]
Generated Node #0,3,4: 33:[64, 67] Operation: 32+35=67
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 33:[35, 32], Operations: ['75-11=64', '64-32=32']
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,33 unequal: No Solution
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 33:[35, 2], Operations: ['75-11=64', '64/32=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,33 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[32, 11, 35, 75], Operations: []
Exploring Operation: 75-11=64, Resulting Numbers: [32, 35, 64]
Generated Node #0,3: 33:[32, 35, 64] Operation: 75-11=64
Moving to Node #0,3
Current State: 33:[32, 35, 64], Operations: ['75-11=64']
Exploring Operation: 64/32=2, Resulting Numbers: [35, 2]
Generated Node #0,3,3: 33:[35, 2] Operation: 64/32=2
Moving to Node #0,3,3
Current State: 33:[35, 2], Operations: ['75-11=64', '64/32=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.948785 | hs_5 | sum_heuristic |
[
44,
64,
44,
99
] | 72 | [
"44+44=88",
"64*99=6336",
"6336/88=72"
] | Current State: 72:[44, 64, 44, 99], Operations: []
Exploring Operation: 44+44=88, Resulting Numbers: [64, 99, 88]
Generated Node #2: [64, 99, 88] from Operation: 44+44=88
Current State: 72:[64, 99, 88], Operations: ['44+44=88']
Exploring Operation: 64*99=6336, Resulting Numbers: [88, 6336]
Generated Node #3: [88, 6336] from Operation: 64*99=6336
Current State: 72:[88, 6336], Operations: ['44+44=88', '64*99=6336']
Exploring Operation: 6336/88=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[44, 64, 44, 99], Operations: []
Exploring Operation: 99-64=35, Resulting Numbers: [44, 44, 35]
Generated Node #0,0: 72:[44, 44, 35] Operation: 99-64=35
Exploring Operation: 99-44=55, Resulting Numbers: [64, 44, 55]
Generated Node #0,1: 72:[64, 44, 55] Operation: 99-44=55
Moving to Node #0,0
Current State: 72:[44, 44, 35], Operations: ['99-64=35']
Exploring Operation: 44/44=1, Resulting Numbers: [35, 1]
Generated Node #0,0,0: 72:[35, 1] Operation: 44/44=1
Exploring Operation: 44-44=0, Resulting Numbers: [35, 0]
Generated Node #0,0,1: 72:[35, 0] Operation: 44-44=0
Moving to Node #0,1
Current State: 72:[64, 44, 55], Operations: ['99-44=55']
Exploring Operation: 55-44=11, Resulting Numbers: [64, 11]
Generated Node #0,1,0: 72:[64, 11] Operation: 55-44=11
Exploring Operation: 64-55=9, Resulting Numbers: [44, 9]
Generated Node #0,1,1: 72:[44, 9] Operation: 64-55=9
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 72:[44, 9], Operations: ['99-44=55', '64-55=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,72 unequal: No Solution
No solution 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: 72:[64, 11], Operations: ['99-44=55', '55-44=11']
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 72:[35, 1], Operations: ['99-64=35', '44/44=1']
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[35, 0], Operations: ['99-64=35', '44-44=0']
Exploring Operation: 35+0=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Exploring Operation: 35-0=35, Resulting Numbers: [35]
35,72 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
2,
91,
99,
75
] | 85 | [
"91-2=89",
"99+75=174",
"174-89=85"
] | Current State: 85:[2, 91, 99, 75], Operations: []
Exploring Operation: 91-2=89, Resulting Numbers: [99, 75, 89]
Generated Node #2: [99, 75, 89] from Operation: 91-2=89
Current State: 85:[99, 75, 89], Operations: ['91-2=89']
Exploring Operation: 99+75=174, Resulting Numbers: [89, 174]
Generated Node #3: [89, 174] from Operation: 99+75=174
Current State: 85:[89, 174], Operations: ['91-2=89', '99+75=174']
Exploring Operation: 174-89=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[2, 91, 99, 75], Operations: []
Exploring Operation: 99-75=24, Resulting Numbers: [2, 91, 24]
Generated Node #0,0: 85:[2, 91, 24] Operation: 99-75=24
Exploring Operation: 99-91=8, Resulting Numbers: [2, 75, 8]
Generated Node #0,1: 85:[2, 75, 8] Operation: 99-91=8
Moving to Node #0,0
Current State: 85:[2, 91, 24], Operations: ['99-75=24']
Exploring Operation: 24-2=22, Resulting Numbers: [91, 22]
Generated Node #0,0,0: 85:[91, 22] Operation: 24-2=22
Exploring Operation: 91-2=89, Resulting Numbers: [24, 89]
Generated Node #0,0,1: 85:[24, 89] Operation: 91-2=89
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[91, 22], Operations: ['99-75=24', '24-2=22']
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,85 unequal: No Solution
Exploring Operation: 91+22=113, Resulting Numbers: [113]
113,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 85:[24, 89], Operations: ['99-75=24', '91-2=89']
Exploring Operation: 24+89=113, Resulting Numbers: [113]
113,85 unequal: No Solution
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 85:[2, 75, 8], Operations: ['99-91=8']
Exploring Operation: 2+75=77, Resulting Numbers: [8, 77]
Generated Node #0,1,0: 85:[8, 77] Operation: 2+75=77
Exploring Operation: 75+8=83, Resulting Numbers: [2, 83]
Generated Node #0,1,1: 85:[2, 83] Operation: 75+8=83
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[2, 83], Operations: ['99-91=8', '75+8=83']
Exploring Operation: 2+83=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[2, 91, 99, 75], Operations: []
Exploring Operation: 99-91=8, Resulting Numbers: [2, 75, 8]
Generated Node #0,1: 85:[2, 75, 8] Operation: 99-91=8
Moving to Node #0,1
Current State: 85:[2, 75, 8], Operations: ['99-91=8']
Exploring Operation: 75+8=83, Resulting Numbers: [2, 83]
Generated Node #0,1,1: 85:[2, 83] Operation: 75+8=83
Moving to Node #0,1,1
Current State: 85:[2, 83], Operations: ['99-91=8', '75+8=83']
Exploring Operation: 2+83=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
5,
36,
11,
49
] | 44 | [
"36-11=25",
"25/5=5",
"49-5=44"
] | Current State: 44:[5, 36, 11, 49], Operations: []
Exploring Operation: 36-11=25, Resulting Numbers: [5, 49, 25]
Generated Node #2: [5, 49, 25] from Operation: 36-11=25
Current State: 44:[5, 49, 25], Operations: ['36-11=25']
Exploring Operation: 25/5=5, Resulting Numbers: [49, 5]
Generated Node #3: [49, 5] from Operation: 25/5=5
Current State: 44:[49, 5], Operations: ['36-11=25', '25/5=5']
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[5, 36, 11, 49], Operations: []
Exploring Operation: 5+36=41, Resulting Numbers: [11, 49, 41]
Generated Node #0,0: 44:[11, 49, 41] Operation: 5+36=41
Exploring Operation: 36+11=47, Resulting Numbers: [5, 49, 47]
Generated Node #0,1: 44:[5, 49, 47] Operation: 36+11=47
Exploring Operation: 36-11=25, Resulting Numbers: [5, 49, 25]
Generated Node #0,2: 44:[5, 49, 25] Operation: 36-11=25
Exploring Operation: 49-5=44, Resulting Numbers: [36, 11, 44]
Generated Node #0,3: 44:[36, 11, 44] Operation: 49-5=44
Exploring Operation: 49-36=13, Resulting Numbers: [5, 11, 13]
Generated Node #0,4: 44:[5, 11, 13] Operation: 49-36=13
Start Sub Search at level 1: Moving to Node #0,4
Current State: 44:[5, 11, 13], Operations: ['49-36=13']
Exploring Operation: 13-11=2, Resulting Numbers: [5, 2]
Generated Node #0,4,0: 44:[5, 2] Operation: 13-11=2
Exploring Operation: 5+13=18, Resulting Numbers: [11, 18]
Generated Node #0,4,1: 44:[11, 18] Operation: 5+13=18
Exploring Operation: 11+13=24, Resulting Numbers: [5, 24]
Generated Node #0,4,2: 44:[5, 24] Operation: 11+13=24
Exploring Operation: 13-5=8, Resulting Numbers: [11, 8]
Generated Node #0,4,3: 44:[11, 8] Operation: 13-5=8
Exploring Operation: 11-5=6, Resulting Numbers: [13, 6]
Generated Node #0,4,4: 44:[13, 6] Operation: 11-5=6
Moving to Node #0,4,0
Current State: 44:[5, 2], Operations: ['49-36=13', '13-11=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Moving to Node #0,4,3
Current State: 44:[11, 8], Operations: ['49-36=13', '13-5=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,44 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Moving to Node #0,4,2
Current State: 44:[5, 24], Operations: ['49-36=13', '11+13=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,44 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,44 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Moving to Node #0,4,1
Current State: 44:[11, 18], Operations: ['49-36=13', '5+13=18']
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,44 unequal: No Solution
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,44 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Moving to Node #0,4,4
Current State: 44:[13, 6], Operations: ['49-36=13', '11-5=6']
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[11, 49, 41], Operations: ['5+36=41']
Exploring Operation: 11+41=52, Resulting Numbers: [49, 52]
Generated Node #0,0,0: 44:[49, 52] Operation: 11+41=52
Exploring Operation: 49-41=8, Resulting Numbers: [11, 8]
Generated Node #0,0,1: 44:[11, 8] Operation: 49-41=8
Exploring Operation: 49-11=38, Resulting Numbers: [41, 38]
Generated Node #0,0,2: 44:[41, 38] Operation: 49-11=38
Exploring Operation: 41-11=30, Resulting Numbers: [49, 30]
Generated Node #0,0,3: 44:[49, 30] Operation: 41-11=30
Exploring Operation: 11+49=60, Resulting Numbers: [41, 60]
Generated Node #0,0,4: 44:[41, 60] Operation: 11+49=60
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 44:[11, 8], Operations: ['5+36=41', '49-41=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,44 unequal: No Solution
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 44:[41, 38], Operations: ['5+36=41', '49-11=38']
Exploring Operation: 41*38=1558, Resulting Numbers: [1558]
1558,44 unequal: No Solution
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[49, 52], Operations: ['5+36=41', '11+41=52']
Exploring Operation: 49+52=101, Resulting Numbers: [101]
101,44 unequal: No Solution
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 49*52=2548, Resulting Numbers: [2548]
2548,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 44:[49, 30], Operations: ['5+36=41', '41-11=30']
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 49+30=79, Resulting Numbers: [79]
79,44 unequal: No Solution
Exploring Operation: 49*30=1470, Resulting Numbers: [1470]
1470,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 44:[41, 60], Operations: ['5+36=41', '11+49=60']
Exploring Operation: 41*60=2460, Resulting Numbers: [2460]
2460,44 unequal: No Solution
Exploring Operation: 60-41=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 41+60=101, Resulting Numbers: [101]
101,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[36, 11, 44], Operations: ['49-5=44']
Exploring Operation: 44-36=8, Resulting Numbers: [11, 8]
Generated Node #0,3,0: 44:[11, 8] Operation: 44-36=8
Exploring Operation: 36+11=47, Resulting Numbers: [44, 47]
Generated Node #0,3,1: 44:[44, 47] Operation: 36+11=47
Exploring Operation: 36-11=25, Resulting Numbers: [44, 25]
Generated Node #0,3,2: 44:[44, 25] Operation: 36-11=25
Exploring Operation: 44/11=4, Resulting Numbers: [36, 4]
Generated Node #0,3,3: 44:[36, 4] Operation: 44/11=4
Exploring Operation: 11+44=55, Resulting Numbers: [36, 55]
Generated Node #0,3,4: 44:[36, 55] Operation: 11+44=55
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 44:[11, 8], Operations: ['49-5=44', '44-36=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 44:[44, 47], Operations: ['49-5=44', '36+11=47']
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 44+47=91, Resulting Numbers: [91]
91,44 unequal: No Solution
Exploring Operation: 44*47=2068, Resulting Numbers: [2068]
2068,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 44:[44, 25], Operations: ['49-5=44', '36-11=25']
Exploring Operation: 44*25=1100, Resulting Numbers: [1100]
1100,44 unequal: No Solution
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 44+25=69, Resulting Numbers: [69]
69,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 44:[36, 4], Operations: ['49-5=44', '44/11=4']
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 44:[36, 55], Operations: ['49-5=44', '11+44=55']
Exploring Operation: 36+55=91, Resulting Numbers: [91]
91,44 unequal: No Solution
Exploring Operation: 36*55=1980, Resulting Numbers: [1980]
1980,44 unequal: No Solution
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[5, 49, 47], Operations: ['36+11=47']
Exploring Operation: 5+49=54, Resulting Numbers: [47, 54]
Generated Node #0,1,0: 44:[47, 54] Operation: 5+49=54
Exploring Operation: 47-5=42, Resulting Numbers: [49, 42]
Generated Node #0,1,1: 44:[49, 42] Operation: 47-5=42
Exploring Operation: 49-47=2, Resulting Numbers: [5, 2]
Generated Node #0,1,2: 44:[5, 2] Operation: 49-47=2
Exploring Operation: 49-5=44, Resulting Numbers: [47, 44]
Generated Node #0,1,3: 44:[47, 44] Operation: 49-5=44
Exploring Operation: 5+47=52, Resulting Numbers: [49, 52]
Generated Node #0,1,4: 44:[49, 52] Operation: 5+47=52
Moving to Node #0,1,2
Current State: 44:[5, 2], Operations: ['36+11=47', '49-47=2']
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Moving to Node #0,1,3
Current State: 44:[47, 44], Operations: ['36+11=47', '49-5=44']
Exploring Operation: 47+44=91, Resulting Numbers: [91]
91,44 unequal: No Solution
Exploring Operation: 47*44=2068, Resulting Numbers: [2068]
2068,44 unequal: No Solution
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[49, 42], Operations: ['36+11=47', '47-5=42']
Exploring Operation: 49-42=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 49+42=91, Resulting Numbers: [91]
91,44 unequal: No Solution
Exploring Operation: 49*42=2058, Resulting Numbers: [2058]
2058,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[47, 54], Operations: ['36+11=47', '5+49=54']
Exploring Operation: 47*54=2538, Resulting Numbers: [2538]
2538,44 unequal: No Solution
Exploring Operation: 47+54=101, Resulting Numbers: [101]
101,44 unequal: No Solution
Exploring Operation: 54-47=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Moving to Node #0,1,4
Current State: 44:[49, 52], Operations: ['36+11=47', '5+47=52']
Exploring Operation: 49+52=101, Resulting Numbers: [101]
101,44 unequal: No Solution
Exploring Operation: 49*52=2548, Resulting Numbers: [2548]
2548,44 unequal: No Solution
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,44 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 #0,2
Current State: 44:[5, 49, 25], Operations: ['36-11=25']
Exploring Operation: 5+49=54, Resulting Numbers: [25, 54]
Generated Node #0,2,0: 44:[25, 54] Operation: 5+49=54
Exploring Operation: 25/5=5, Resulting Numbers: [49, 5]
Generated Node #0,2,1: 44:[49, 5] Operation: 25/5=5
Exploring Operation: 49-5=44, Resulting Numbers: [25, 44]
Generated Node #0,2,2: 44:[25, 44] Operation: 49-5=44
Exploring Operation: 25-5=20, Resulting Numbers: [49, 20]
Generated Node #0,2,3: 44:[49, 20] Operation: 25-5=20
Exploring Operation: 49-25=24, Resulting Numbers: [5, 24]
Generated Node #0,2,4: 44:[5, 24] Operation: 49-25=24
Moving to Node #0,2,2
Current State: 44:[25, 44], Operations: ['36-11=25', '49-5=44']
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 25*44=1100, Resulting Numbers: [1100]
1100,44 unequal: No Solution
Exploring Operation: 25+44=69, Resulting Numbers: [69]
69,44 unequal: No Solution
Moving to Node #0,2,4
Current State: 44:[5, 24], Operations: ['36-11=25', '49-25=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,44 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,44 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Moving to Node #0,2,1
Current State: 44:[49, 5], Operations: ['36-11=25', '25/5=5']
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,44 unequal: No Solution
Exploring Operation: 49*5=245, Resulting Numbers: [245]
245,44 unequal: No Solution
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[5, 36, 11, 49], Operations: []
Exploring Operation: 36-11=25, Resulting Numbers: [5, 49, 25]
Generated Node #0,2: 44:[5, 49, 25] Operation: 36-11=25
Moving to Node #0,2
Current State: 44:[5, 49, 25], Operations: ['36-11=25']
Exploring Operation: 25/5=5, Resulting Numbers: [49, 5]
Generated Node #0,2,1: 44:[49, 5] Operation: 25/5=5
Moving to Node #0,2,1
Current State: 44:[49, 5], Operations: ['36-11=25', '25/5=5']
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.909722 | hs_5 | mult_heuristic |
[
60,
6,
4,
55
] | 91 | [
"60+55=115",
"6*4=24",
"115-24=91"
] | Current State: 91:[60, 6, 4, 55], Operations: []
Exploring Operation: 60+55=115, Resulting Numbers: [6, 4, 115]
Generated Node #2: [6, 4, 115] from Operation: 60+55=115
Current State: 91:[6, 4, 115], Operations: ['60+55=115']
Exploring Operation: 6*4=24, Resulting Numbers: [115, 24]
Generated Node #3: [115, 24] from Operation: 6*4=24
Current State: 91:[115, 24], Operations: ['60+55=115', '6*4=24']
Exploring Operation: 115-24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[60, 6, 4, 55], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [6, 4, 5]
Generated Node #0,0: 91:[6, 4, 5] Operation: 60-55=5
Moving to Node #0,0
Current State: 91:[6, 4, 5], Operations: ['60-55=5']
Exploring Operation: 4+5=9, Resulting Numbers: [6, 9]
Generated Node #0,0,0: 91:[6, 9] Operation: 4+5=9
Moving to Node #0,0,0
Current State: 91:[6, 9], Operations: ['60-55=5', '4+5=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,91 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
79,
86,
50,
13
] | 44 | [
"86-79=7",
"50-13=37",
"7+37=44"
] | Current State: 44:[79, 86, 50, 13], Operations: []
Exploring Operation: 86-79=7, Resulting Numbers: [50, 13, 7]
Generated Node #2: [50, 13, 7] from Operation: 86-79=7
Current State: 44:[50, 13, 7], Operations: ['86-79=7']
Exploring Operation: 50-13=37, Resulting Numbers: [7, 37]
Generated Node #3: [7, 37] from Operation: 50-13=37
Current State: 44:[7, 37], Operations: ['86-79=7', '50-13=37']
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[79, 86, 50, 13], Operations: []
Exploring Operation: 86-50=36, Resulting Numbers: [79, 13, 36]
Generated Node #0,0: 44:[79, 13, 36] Operation: 86-50=36
Exploring Operation: 79-50=29, Resulting Numbers: [86, 13, 29]
Generated Node #0,1: 44:[86, 13, 29] Operation: 79-50=29
Exploring Operation: 86-79=7, Resulting Numbers: [50, 13, 7]
Generated Node #0,2: 44:[50, 13, 7] Operation: 86-79=7
Moving to Node #0,2
Current State: 44:[50, 13, 7], Operations: ['86-79=7']
Exploring Operation: 13+7=20, Resulting Numbers: [50, 20]
Generated Node #0,2,0: 44:[50, 20] Operation: 13+7=20
Exploring Operation: 13-7=6, Resulting Numbers: [50, 6]
Generated Node #0,2,1: 44:[50, 6] Operation: 13-7=6
Exploring Operation: 50-7=43, Resulting Numbers: [13, 43]
Generated Node #0,2,2: 44:[13, 43] Operation: 50-7=43
Moving to Node #0,0
Current State: 44:[79, 13, 36], Operations: ['86-50=36']
Exploring Operation: 79-36=43, Resulting Numbers: [13, 43]
Generated Node #0,0,0: 44:[13, 43] Operation: 79-36=43
Exploring Operation: 36-13=23, Resulting Numbers: [79, 23]
Generated Node #0,0,1: 44:[79, 23] Operation: 36-13=23
Exploring Operation: 79-13=66, Resulting Numbers: [36, 66]
Generated Node #0,0,2: 44:[36, 66] Operation: 79-13=66
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[13, 43], Operations: ['86-50=36', '79-36=43']
Exploring Operation: 13*43=559, Resulting Numbers: [559]
559,44 unequal: No Solution
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 13+43=56, Resulting Numbers: [56]
56,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 44:[36, 66], Operations: ['86-50=36', '79-13=66']
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 36*66=2376, Resulting Numbers: [2376]
2376,44 unequal: No Solution
Exploring Operation: 36+66=102, Resulting Numbers: [102]
102,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 44:[79, 23], Operations: ['86-50=36', '36-13=23']
Exploring Operation: 79*23=1817, Resulting Numbers: [1817]
1817,44 unequal: No Solution
Exploring Operation: 79+23=102, Resulting Numbers: [102]
102,44 unequal: No Solution
Exploring Operation: 79-23=56, Resulting Numbers: [56]
56,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 44:[86, 13, 29], Operations: ['79-50=29']
Exploring Operation: 13+29=42, Resulting Numbers: [86, 42]
Generated Node #0,1,0: 44:[86, 42] Operation: 13+29=42
Exploring Operation: 86-29=57, Resulting Numbers: [13, 57]
Generated Node #0,1,1: 44:[13, 57] Operation: 86-29=57
Exploring Operation: 86-13=73, Resulting Numbers: [29, 73]
Generated Node #0,1,2: 44:[29, 73] Operation: 86-13=73
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[13, 57], Operations: ['79-50=29', '86-29=57']
Exploring Operation: 13*57=741, Resulting Numbers: [741]
741,44 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[79, 86, 50, 13], Operations: []
Exploring Operation: 79-50=29, Resulting Numbers: [86, 13, 29]
Generated Node #0,1: 44:[86, 13, 29] Operation: 79-50=29
Moving to Node #0,1
Current State: 44:[86, 13, 29], Operations: ['79-50=29']
Exploring Operation: 86-29=57, Resulting Numbers: [13, 57]
Generated Node #0,1,1: 44:[13, 57] Operation: 86-29=57
Moving to Node #0,1,1
Current State: 44:[13, 57], Operations: ['79-50=29', '86-29=57']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
20,
31,
7,
19
] | 77 | [
"20+31=51",
"7+19=26",
"51+26=77"
] | Current State: 77:[20, 31, 7, 19], Operations: []
Exploring Operation: 20+31=51, Resulting Numbers: [7, 19, 51]
Generated Node #2: [7, 19, 51] from Operation: 20+31=51
Current State: 77:[7, 19, 51], Operations: ['20+31=51']
Exploring Operation: 7+19=26, Resulting Numbers: [51, 26]
Generated Node #3: [51, 26] from Operation: 7+19=26
Current State: 77:[51, 26], Operations: ['20+31=51', '7+19=26']
Exploring Operation: 51+26=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[20, 31, 7, 19], Operations: []
Exploring Operation: 31-20=11, Resulting Numbers: [7, 19, 11]
Generated Node #0,0: 77:[7, 19, 11] Operation: 31-20=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[7, 19, 11], Operations: ['31-20=11']
Exploring Operation: 19-7=12, Resulting Numbers: [11, 12]
Generated Node #0,0,0: 77:[11, 12] Operation: 19-7=12
Moving to Node #0,0,0
Current State: 77:[11, 12], Operations: ['31-20=11', '19-7=12']
Exploring Operation: 12-11=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_1 | mult_heuristic |
[
53,
36,
46,
24
] | 84 | [
"53-46=7",
"36-24=12",
"7*12=84"
] | Current State: 84:[53, 36, 46, 24], Operations: []
Exploring Operation: 53-46=7, Resulting Numbers: [36, 24, 7]
Generated Node #2: [36, 24, 7] from Operation: 53-46=7
Current State: 84:[36, 24, 7], Operations: ['53-46=7']
Exploring Operation: 36-24=12, Resulting Numbers: [7, 12]
Generated Node #3: [7, 12] from Operation: 36-24=12
Current State: 84:[7, 12], Operations: ['53-46=7', '36-24=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[53, 36, 46, 24], Operations: []
Exploring Operation: 53+36=89, Resulting Numbers: [46, 24, 89]
Generated Node #0,0: 84:[46, 24, 89] Operation: 53+36=89
Exploring Operation: 36-24=12, Resulting Numbers: [53, 46, 12]
Generated Node #0,1: 84:[53, 46, 12] Operation: 36-24=12
Exploring Operation: 53-46=7, Resulting Numbers: [36, 24, 7]
Generated Node #0,2: 84:[36, 24, 7] Operation: 53-46=7
Exploring Operation: 53-24=29, Resulting Numbers: [36, 46, 29]
Generated Node #0,3: 84:[36, 46, 29] Operation: 53-24=29
Exploring Operation: 53-36=17, Resulting Numbers: [46, 24, 17]
Generated Node #0,4: 84:[46, 24, 17] Operation: 53-36=17
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[36, 24, 7], Operations: ['53-46=7']
Exploring Operation: 24+7=31, Resulting Numbers: [36, 31]
Generated Node #0,2,0: 84:[36, 31] Operation: 24+7=31
Exploring Operation: 36+7=43, Resulting Numbers: [24, 43]
Generated Node #0,2,1: 84:[24, 43] Operation: 36+7=43
Exploring Operation: 24-7=17, Resulting Numbers: [36, 17]
Generated Node #0,2,2: 84:[36, 17] Operation: 24-7=17
Exploring Operation: 36-7=29, Resulting Numbers: [24, 29]
Generated Node #0,2,3: 84:[24, 29] Operation: 36-7=29
Exploring Operation: 36-24=12, Resulting Numbers: [7, 12]
Generated Node #0,2,4: 84:[7, 12] Operation: 36-24=12
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 84:[7, 12], Operations: ['53-46=7', '36-24=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[53, 36, 46, 24], Operations: []
Exploring Operation: 53-46=7, Resulting Numbers: [36, 24, 7]
Generated Node #0,2: 84:[36, 24, 7] Operation: 53-46=7
Moving to Node #0,2
Current State: 84:[36, 24, 7], Operations: ['53-46=7']
Exploring Operation: 36-24=12, Resulting Numbers: [7, 12]
Generated Node #0,2,4: 84:[7, 12] Operation: 36-24=12
Moving to Node #0,2,4
Current State: 84:[7, 12], Operations: ['53-46=7', '36-24=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
3,
34,
14,
10
] | 90 | [
"34-14=20",
"10+20=30",
"3*30=90"
] | Current State: 90:[3, 34, 14, 10], Operations: []
Exploring Operation: 34-14=20, Resulting Numbers: [3, 10, 20]
Generated Node #2: [3, 10, 20] from Operation: 34-14=20
Current State: 90:[3, 10, 20], Operations: ['34-14=20']
Exploring Operation: 10+20=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 10+20=30
Current State: 90:[3, 30], Operations: ['34-14=20', '10+20=30']
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[3, 34, 14, 10], Operations: []
Exploring Operation: 34-14=20, Resulting Numbers: [3, 10, 20]
Generated Node #0,0: 90:[3, 10, 20] Operation: 34-14=20
Exploring Operation: 34-3=31, Resulting Numbers: [14, 10, 31]
Generated Node #0,1: 90:[14, 10, 31] Operation: 34-3=31
Moving to Node #0,0
Current State: 90:[3, 10, 20], Operations: ['34-14=20']
Exploring Operation: 20-10=10, Resulting Numbers: [3, 10]
Generated Node #0,0,0: 90:[3, 10] Operation: 20-10=10
Exploring Operation: 10+20=30, Resulting Numbers: [3, 30]
Generated Node #0,0,1: 90:[3, 30] Operation: 10+20=30
Moving to Node #0,1
Current State: 90:[14, 10, 31], Operations: ['34-3=31']
Exploring Operation: 14+31=45, Resulting Numbers: [10, 45]
Generated Node #0,1,0: 90:[10, 45] Operation: 14+31=45
Exploring Operation: 31-14=17, Resulting Numbers: [10, 17]
Generated Node #0,1,1: 90:[10, 17] Operation: 31-14=17
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[10, 45], Operations: ['34-3=31', '14+31=45']
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,90 unequal: No Solution
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[10, 17], Operations: ['34-3=31', '31-14=17']
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,90 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 90:[3, 10], Operations: ['34-14=20', '20-10=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[3, 30], Operations: ['34-14=20', '10+20=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,90 unequal: No Solution
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[3, 34, 14, 10], Operations: []
Exploring Operation: 34-14=20, Resulting Numbers: [3, 10, 20]
Generated Node #0,0: 90:[3, 10, 20] Operation: 34-14=20
Moving to Node #0,0
Current State: 90:[3, 10, 20], Operations: ['34-14=20']
Exploring Operation: 10+20=30, Resulting Numbers: [3, 30]
Generated Node #0,0,1: 90:[3, 30] Operation: 10+20=30
Moving to Node #0,0,1
Current State: 90:[3, 30], Operations: ['34-14=20', '10+20=30']
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 0.984375 | hs_2 | sum_heuristic |
[
44,
91,
15,
4
] | 75 | [
"44+91=135",
"15*4=60",
"135-60=75"
] | Current State: 75:[44, 91, 15, 4], Operations: []
Exploring Operation: 44+91=135, Resulting Numbers: [15, 4, 135]
Generated Node #2: [15, 4, 135] from Operation: 44+91=135
Current State: 75:[15, 4, 135], Operations: ['44+91=135']
Exploring Operation: 15*4=60, Resulting Numbers: [135, 60]
Generated Node #3: [135, 60] from Operation: 15*4=60
Current State: 75:[135, 60], Operations: ['44+91=135', '15*4=60']
Exploring Operation: 135-60=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[44, 91, 15, 4], Operations: []
Exploring Operation: 44/4=11, Resulting Numbers: [91, 15, 11]
Generated Node #0,0: 75:[91, 15, 11] Operation: 44/4=11
Exploring Operation: 44-15=29, Resulting Numbers: [91, 4, 29]
Generated Node #0,1: 75:[91, 4, 29] Operation: 44-15=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[91, 15, 11], Operations: ['44/4=11']
Exploring Operation: 91-11=80, Resulting Numbers: [15, 80]
Generated Node #0,0,0: 75:[15, 80] Operation: 91-11=80
Exploring Operation: 91-15=76, Resulting Numbers: [11, 76]
Generated Node #0,0,1: 75:[11, 76] Operation: 91-15=76
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[15, 80], Operations: ['44/4=11', '91-11=80']
Exploring Operation: 80-15=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Exploring Operation: 15+80=95, Resulting Numbers: [95]
95,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[11, 76], Operations: ['44/4=11', '91-15=76']
Exploring Operation: 11+76=87, Resulting Numbers: [87]
87,75 unequal: No Solution
Exploring Operation: 76-11=65, Resulting Numbers: [65]
65,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[91, 4, 29], Operations: ['44-15=29']
Exploring Operation: 91-29=62, Resulting Numbers: [4, 62]
Generated Node #0,1,0: 75:[4, 62] Operation: 91-29=62
Exploring Operation: 91-4=87, Resulting Numbers: [29, 87]
Generated Node #0,1,1: 75:[29, 87] Operation: 91-4=87
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[4, 62], Operations: ['44-15=29', '91-29=62']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,75 unequal: No Solution
Exploring Operation: 4+62=66, Resulting Numbers: [66]
66,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[29, 87], Operations: ['44-15=29', '91-4=87']
Exploring Operation: 87-29=58, Resulting Numbers: [58]
58,75 unequal: No Solution
Exploring Operation: 87/29=3, Resulting Numbers: [3]
3,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
36,
26,
14,
53
] | 87 | [
"36-26=10",
"14*10=140",
"140-53=87"
] | Current State: 87:[36, 26, 14, 53], Operations: []
Exploring Operation: 36-26=10, Resulting Numbers: [14, 53, 10]
Generated Node #2: [14, 53, 10] from Operation: 36-26=10
Current State: 87:[14, 53, 10], Operations: ['36-26=10']
Exploring Operation: 14*10=140, Resulting Numbers: [53, 140]
Generated Node #3: [53, 140] from Operation: 14*10=140
Current State: 87:[53, 140], Operations: ['36-26=10', '14*10=140']
Exploring Operation: 140-53=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[36, 26, 14, 53], Operations: []
Exploring Operation: 53-14=39, Resulting Numbers: [36, 26, 39]
Generated Node #0,0: 87:[36, 26, 39] Operation: 53-14=39
Exploring Operation: 53-36=17, Resulting Numbers: [26, 14, 17]
Generated Node #0,1: 87:[26, 14, 17] Operation: 53-36=17
Exploring Operation: 36+53=89, Resulting Numbers: [26, 14, 89]
Generated Node #0,2: 87:[26, 14, 89] Operation: 36+53=89
Exploring Operation: 26+53=79, Resulting Numbers: [36, 14, 79]
Generated Node #0,3: 87:[36, 14, 79] Operation: 26+53=79
Exploring Operation: 53-26=27, Resulting Numbers: [36, 14, 27]
Generated Node #0,4: 87:[36, 14, 27] Operation: 53-26=27
Moving to Node #0,2
Current State: 87:[26, 14, 89], Operations: ['36+53=89']
Exploring Operation: 89-14=75, Resulting Numbers: [26, 75]
Generated Node #0,2,0: 87:[26, 75] Operation: 89-14=75
Exploring Operation: 26-14=12, Resulting Numbers: [89, 12]
Generated Node #0,2,1: 87:[89, 12] Operation: 26-14=12
Exploring Operation: 14+89=103, Resulting Numbers: [26, 103]
Generated Node #0,2,2: 87:[26, 103] Operation: 14+89=103
Exploring Operation: 26+14=40, Resulting Numbers: [89, 40]
Generated Node #0,2,3: 87:[89, 40] Operation: 26+14=40
Exploring Operation: 89-26=63, Resulting Numbers: [14, 63]
Generated Node #0,2,4: 87:[14, 63] Operation: 89-26=63
Moving to Node #0,4
Current State: 87:[36, 14, 27], Operations: ['53-26=27']
Exploring Operation: 14+27=41, Resulting Numbers: [36, 41]
Generated Node #0,4,0: 87:[36, 41] Operation: 14+27=41
Exploring Operation: 27-14=13, Resulting Numbers: [36, 13]
Generated Node #0,4,1: 87:[36, 13] Operation: 27-14=13
Exploring Operation: 36+14=50, Resulting Numbers: [27, 50]
Generated Node #0,4,2: 87:[27, 50] Operation: 36+14=50
Exploring Operation: 36-14=22, Resulting Numbers: [27, 22]
Generated Node #0,4,3: 87:[27, 22] Operation: 36-14=22
Exploring Operation: 36-27=9, Resulting Numbers: [14, 9]
Generated Node #0,4,4: 87:[14, 9] Operation: 36-27=9
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 87:[27, 22], Operations: ['53-26=27', '36-14=22']
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 27*22=594, Resulting Numbers: [594]
594,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 87:[36, 13], Operations: ['53-26=27', '27-14=13']
Exploring Operation: 36+13=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 36*13=468, Resulting Numbers: [468]
468,87 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 87:[14, 9], Operations: ['53-26=27', '36-27=9']
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,87 unequal: No Solution
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,87 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 87:[36, 41], Operations: ['53-26=27', '14+27=41']
Exploring Operation: 36+41=77, Resulting Numbers: [77]
77,87 unequal: No Solution
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 36*41=1476, Resulting Numbers: [1476]
1476,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 87:[27, 50], Operations: ['53-26=27', '36+14=50']
Exploring Operation: 27*50=1350, Resulting Numbers: [1350]
1350,87 unequal: No Solution
Exploring Operation: 27+50=77, Resulting Numbers: [77]
77,87 unequal: No Solution
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,87 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: 87:[36, 26, 39], Operations: ['53-14=39']
Exploring Operation: 39-26=13, Resulting Numbers: [36, 13]
Generated Node #0,0,0: 87:[36, 13] Operation: 39-26=13
Exploring Operation: 36-26=10, Resulting Numbers: [39, 10]
Generated Node #0,0,1: 87:[39, 10] Operation: 36-26=10
Exploring Operation: 26+39=65, Resulting Numbers: [36, 65]
Generated Node #0,0,2: 87:[36, 65] Operation: 26+39=65
Exploring Operation: 39-36=3, Resulting Numbers: [26, 3]
Generated Node #0,0,3: 87:[26, 3] Operation: 39-36=3
Exploring Operation: 36+39=75, Resulting Numbers: [26, 75]
Generated Node #0,0,4: 87:[26, 75] Operation: 36+39=75
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 87:[26, 3], Operations: ['53-14=39', '39-36=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,87 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 87:[26, 75], Operations: ['53-14=39', '36+39=75']
Exploring Operation: 26*75=1950, Resulting Numbers: [1950]
1950,87 unequal: No Solution
Exploring Operation: 75-26=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 26+75=101, Resulting Numbers: [101]
101,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[36, 13], Operations: ['53-14=39', '39-26=13']
Exploring Operation: 36*13=468, Resulting Numbers: [468]
468,87 unequal: No Solution
Exploring Operation: 36+13=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 87:[39, 10], Operations: ['53-14=39', '36-26=10']
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,87 unequal: No Solution
Exploring Operation: 39*10=390, Resulting Numbers: [390]
390,87 unequal: No Solution
Exploring Operation: 39+10=49, Resulting Numbers: [49]
49,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 87:[36, 65], Operations: ['53-14=39', '26+39=65']
Exploring Operation: 36+65=101, Resulting Numbers: [101]
101,87 unequal: No Solution
Exploring Operation: 36*65=2340, Resulting Numbers: [2340]
2340,87 unequal: No Solution
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 87:[26, 14, 17], Operations: ['53-36=17']
Exploring Operation: 26+14=40, Resulting Numbers: [17, 40]
Generated Node #0,1,0: 87:[17, 40] Operation: 26+14=40
Exploring Operation: 26-14=12, Resulting Numbers: [17, 12]
Generated Node #0,1,1: 87:[17, 12] Operation: 26-14=12
Exploring Operation: 14+17=31, Resulting Numbers: [26, 31]
Generated Node #0,1,2: 87:[26, 31] Operation: 14+17=31
Exploring Operation: 26-17=9, Resulting Numbers: [14, 9]
Generated Node #0,1,3: 87:[14, 9] Operation: 26-17=9
Exploring Operation: 17-14=3, Resulting Numbers: [26, 3]
Generated Node #0,1,4: 87:[26, 3] Operation: 17-14=3
Moving to Node #0,3
Current State: 87:[36, 14, 79], Operations: ['26+53=79']
Exploring Operation: 36+14=50, Resulting Numbers: [79, 50]
Generated Node #0,3,0: 87:[79, 50] Operation: 36+14=50
Exploring Operation: 79-14=65, Resulting Numbers: [36, 65]
Generated Node #0,3,1: 87:[36, 65] Operation: 79-14=65
Exploring Operation: 79-36=43, Resulting Numbers: [14, 43]
Generated Node #0,3,2: 87:[14, 43] Operation: 79-36=43
Exploring Operation: 36-14=22, Resulting Numbers: [79, 22]
Generated Node #0,3,3: 87:[79, 22] Operation: 36-14=22
Exploring Operation: 14+79=93, Resulting Numbers: [36, 93]
Generated Node #0,3,4: 87:[36, 93] Operation: 14+79=93
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 87:[36, 93], Operations: ['26+53=79', '14+79=93']
Exploring Operation: 36+93=129, Resulting Numbers: [129]
129,87 unequal: No Solution
Exploring Operation: 36*93=3348, Resulting Numbers: [3348]
3348,87 unequal: No Solution
Exploring Operation: 93-36=57, Resulting Numbers: [57]
57,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 87:[79, 22], Operations: ['26+53=79', '36-14=22']
Exploring Operation: 79*22=1738, Resulting Numbers: [1738]
1738,87 unequal: No Solution
Exploring Operation: 79+22=101, Resulting Numbers: [101]
101,87 unequal: No Solution
Exploring Operation: 79-22=57, Resulting Numbers: [57]
57,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 87:[14, 43], Operations: ['26+53=79', '79-36=43']
Exploring Operation: 14+43=57, Resulting Numbers: [57]
57,87 unequal: No Solution
Exploring Operation: 14*43=602, Resulting Numbers: [602]
602,87 unequal: No Solution
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 87:[79, 50], Operations: ['26+53=79', '36+14=50']
Exploring Operation: 79*50=3950, Resulting Numbers: [3950]
3950,87 unequal: No Solution
Exploring Operation: 79-50=29, Resulting Numbers: [29]
29,87 unequal: No Solution
Exploring Operation: 79+50=129, Resulting Numbers: [129]
129,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 87:[36, 65], Operations: ['26+53=79', '79-14=65']
Exploring Operation: 36+65=101, Resulting Numbers: [101]
101,87 unequal: No Solution
Exploring Operation: 36*65=2340, Resulting Numbers: [2340]
2340,87 unequal: No Solution
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,4
Current State: 87:[26, 3], Operations: ['53-36=17', '17-14=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,87 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,87 unequal: No Solution
Moving to Node #0,1,2
Current State: 87:[26, 31], Operations: ['53-36=17', '14+17=31']
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 26+31=57, Resulting Numbers: [57]
57,87 unequal: No Solution
Exploring Operation: 26*31=806, Resulting Numbers: [806]
806,87 unequal: No Solution
Moving to Node #0,2,1
Current State: 87:[89, 12], Operations: ['36+53=89', '26-14=12']
Exploring Operation: 89+12=101, Resulting Numbers: [101]
101,87 unequal: No Solution
Exploring Operation: 89*12=1068, Resulting Numbers: [1068]
1068,87 unequal: No Solution
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,87 unequal: No Solution
Moving to Node #0,2,3
Current State: 87:[89, 40], Operations: ['36+53=89', '26+14=40']
Exploring Operation: 89*40=3560, Resulting Numbers: [3560]
3560,87 unequal: No Solution
Exploring Operation: 89-40=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 89+40=129, Resulting Numbers: [129]
129,87 unequal: No Solution
Moving to Node #0,2,0
Current State: 87:[26, 75], Operations: ['36+53=89', '89-14=75']
Exploring Operation: 26*75=1950, Resulting Numbers: [1950]
1950,87 unequal: No Solution
Exploring Operation: 75-26=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 26+75=101, Resulting Numbers: [101]
101,87 unequal: No Solution
Moving to Node #0,1,3
Current State: 87:[14, 9], Operations: ['53-36=17', '26-17=9']
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,87 unequal: No Solution
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,87 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Moving to Node #0,2,2
Current State: 87:[26, 103], Operations: ['36+53=89', '14+89=103']
Exploring Operation: 26+103=129, Resulting Numbers: [129]
129,87 unequal: No Solution
Exploring Operation: 26*103=2678, Resulting Numbers: [2678]
2678,87 unequal: No Solution
Exploring Operation: 103-26=77, Resulting Numbers: [77]
77,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[17, 12], Operations: ['53-36=17', '26-14=12']
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,87 unequal: No Solution
Exploring Operation: 17*12=204, Resulting Numbers: [204]
204,87 unequal: No Solution
Moving to Node #0,1,0
Current State: 87:[17, 40], Operations: ['53-36=17', '26+14=40']
Exploring Operation: 17*40=680, Resulting Numbers: [680]
680,87 unequal: No Solution
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,87 unequal: No Solution
Exploring Operation: 17+40=57, Resulting Numbers: [57]
57,87 unequal: No Solution
Moving to Node #0,2,4
Current State: 87:[14, 63], Operations: ['36+53=89', '89-26=63']
Exploring Operation: 14+63=77, Resulting Numbers: [77]
77,87 unequal: No Solution
Exploring Operation: 14*63=882, Resulting Numbers: [882]
882,87 unequal: No Solution
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,87 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
13,
9,
53,
87
] | 23 | [
"13*9=117",
"53+87=140",
"140-117=23"
] | Current State: 23:[13, 9, 53, 87], Operations: []
Exploring Operation: 13*9=117, Resulting Numbers: [53, 87, 117]
Generated Node #2: [53, 87, 117] from Operation: 13*9=117
Current State: 23:[53, 87, 117], Operations: ['13*9=117']
Exploring Operation: 53+87=140, Resulting Numbers: [117, 140]
Generated Node #3: [117, 140] from Operation: 53+87=140
Current State: 23:[117, 140], Operations: ['13*9=117', '53+87=140']
Exploring Operation: 140-117=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[13, 9, 53, 87], Operations: []
Exploring Operation: 53-13=40, Resulting Numbers: [9, 87, 40]
Generated Node #0,0: 23:[9, 87, 40] Operation: 53-13=40
Exploring Operation: 13+9=22, Resulting Numbers: [53, 87, 22]
Generated Node #0,1: 23:[53, 87, 22] Operation: 13+9=22
Exploring Operation: 87-53=34, Resulting Numbers: [13, 9, 34]
Generated Node #0,2: 23:[13, 9, 34] Operation: 87-53=34
Exploring Operation: 87-13=74, Resulting Numbers: [9, 53, 74]
Generated Node #0,3: 23:[9, 53, 74] Operation: 87-13=74
Moving to Node #0,2
Current State: 23:[13, 9, 34], Operations: ['87-53=34']
Exploring Operation: 13+9=22, Resulting Numbers: [34, 22]
Generated Node #0,2,0: 23:[34, 22] Operation: 13+9=22
Exploring Operation: 13-9=4, Resulting Numbers: [34, 4]
Generated Node #0,2,1: 23:[34, 4] Operation: 13-9=4
Exploring Operation: 34-9=25, Resulting Numbers: [13, 25]
Generated Node #0,2,2: 23:[13, 25] Operation: 34-9=25
Exploring Operation: 34-13=21, Resulting Numbers: [9, 21]
Generated Node #0,2,3: 23:[9, 21] Operation: 34-13=21
Moving to Node #0,1
Current State: 23:[53, 87, 22], Operations: ['13+9=22']
Exploring Operation: 53+22=75, Resulting Numbers: [87, 75]
Generated Node #0,1,0: 23:[87, 75] Operation: 53+22=75
Exploring Operation: 53-22=31, Resulting Numbers: [87, 31]
Generated Node #0,1,1: 23:[87, 31] Operation: 53-22=31
Exploring Operation: 87-53=34, Resulting Numbers: [22, 34]
Generated Node #0,1,2: 23:[22, 34] Operation: 87-53=34
Exploring Operation: 87-22=65, Resulting Numbers: [53, 65]
Generated Node #0,1,3: 23:[53, 65] Operation: 87-22=65
Moving to Node #0,0
Current State: 23:[9, 87, 40], Operations: ['53-13=40']
Exploring Operation: 9+87=96, Resulting Numbers: [40, 96]
Generated Node #0,0,0: 23:[40, 96] Operation: 9+87=96
Exploring Operation: 87-40=47, Resulting Numbers: [9, 47]
Generated Node #0,0,1: 23:[9, 47] Operation: 87-40=47
Exploring Operation: 40-9=31, Resulting Numbers: [87, 31]
Generated Node #0,0,2: 23:[87, 31] Operation: 40-9=31
Exploring Operation: 87-9=78, Resulting Numbers: [40, 78]
Generated Node #0,0,3: 23:[40, 78] Operation: 87-9=78
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 23:[9, 47], Operations: ['53-13=40', '87-40=47']
Exploring Operation: 9*47=423, Resulting Numbers: [423]
423,23 unequal: No Solution
Exploring Operation: 9+47=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,23 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 #0,0,2
Current State: 23:[87, 31], Operations: ['53-13=40', '40-9=31']
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 87*31=2697, Resulting Numbers: [2697]
2697,23 unequal: No Solution
Exploring Operation: 87+31=118, Resulting Numbers: [118]
118,23 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 #0,0,3
Current State: 23:[40, 78], Operations: ['53-13=40', '87-9=78']
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 40*78=3120, Resulting Numbers: [3120]
3120,23 unequal: No Solution
Exploring Operation: 40+78=118, Resulting Numbers: [118]
118,23 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 #0,0,0
Current State: 23:[40, 96], Operations: ['53-13=40', '9+87=96']
Exploring Operation: 40*96=3840, Resulting Numbers: [3840]
3840,23 unequal: No Solution
Exploring Operation: 96-40=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 40+96=136, Resulting Numbers: [136]
136,23 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: 23:[9, 53, 74], Operations: ['87-13=74']
Exploring Operation: 9+53=62, Resulting Numbers: [74, 62]
Generated Node #0,3,0: 23:[74, 62] Operation: 9+53=62
Exploring Operation: 74-9=65, Resulting Numbers: [53, 65]
Generated Node #0,3,1: 23:[53, 65] Operation: 74-9=65
Exploring Operation: 74-53=21, Resulting Numbers: [9, 21]
Generated Node #0,3,2: 23:[9, 21] Operation: 74-53=21
Exploring Operation: 53-9=44, Resulting Numbers: [74, 44]
Generated Node #0,3,3: 23:[74, 44] Operation: 53-9=44
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 23:[9, 21], Operations: ['87-13=74', '74-53=21']
Exploring Operation: 9*21=189, Resulting Numbers: [189]
189,23 unequal: No Solution
Exploring Operation: 9+21=30, Resulting Numbers: [30]
30,23 unequal: No Solution
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,23 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 #0,3,1
Current State: 23:[53, 65], Operations: ['87-13=74', '74-9=65']
Exploring Operation: 53+65=118, Resulting Numbers: [118]
118,23 unequal: No Solution
Exploring Operation: 65-53=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 53*65=3445, Resulting Numbers: [3445]
3445,23 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 #0,3,3
Current State: 23:[74, 44], Operations: ['87-13=74', '53-9=44']
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,23 unequal: No Solution
Exploring Operation: 74*44=3256, Resulting Numbers: [3256]
3256,23 unequal: No Solution
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,23 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 #0,3,0
Current State: 23:[74, 62], Operations: ['87-13=74', '9+53=62']
Exploring Operation: 74+62=136, Resulting Numbers: [136]
136,23 unequal: No Solution
Exploring Operation: 74-62=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 74*62=4588, Resulting Numbers: [4588]
4588,23 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: 23:[34, 22], Operations: ['87-53=34', '13+9=22']
Exploring Operation: 34*22=748, Resulting Numbers: [748]
748,23 unequal: No Solution
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 34+22=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Moving to Node #0,2,2
Current State: 23:[13, 25], Operations: ['87-53=34', '34-9=25']
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 13*25=325, Resulting Numbers: [325]
325,23 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[22, 34], Operations: ['13+9=22', '87-53=34']
Exploring Operation: 22+34=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 22*34=748, Resulting Numbers: [748]
748,23 unequal: No Solution
Moving to Node #0,2,3
Current State: 23:[9, 21], Operations: ['87-53=34', '34-13=21']
Exploring Operation: 9*21=189, Resulting Numbers: [189]
189,23 unequal: No Solution
Exploring Operation: 9+21=30, Resulting Numbers: [30]
30,23 unequal: No Solution
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[34, 4], Operations: ['87-53=34', '13-9=4']
Exploring Operation: 34*4=136, Resulting Numbers: [136]
136,23 unequal: No Solution
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[87, 31], Operations: ['13+9=22', '53-22=31']
Exploring Operation: 87+31=118, Resulting Numbers: [118]
118,23 unequal: No Solution
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 87*31=2697, Resulting Numbers: [2697]
2697,23 unequal: No Solution
Moving to Node #0,1,3
Current State: 23:[53, 65], Operations: ['13+9=22', '87-22=65']
Exploring Operation: 53*65=3445, Resulting Numbers: [3445]
3445,23 unequal: No Solution
Exploring Operation: 65-53=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 53+65=118, Resulting Numbers: [118]
118,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[87, 75], Operations: ['13+9=22', '53+22=75']
Exploring Operation: 87-75=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 87*75=6525, Resulting Numbers: [6525]
6525,23 unequal: No Solution
Exploring Operation: 87+75=162, Resulting Numbers: [162]
162,23 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
29,
48,
30,
17
] | 90 | [
"29+48=77",
"30-17=13",
"77+13=90"
] | Current State: 90:[29, 48, 30, 17], Operations: []
Exploring Operation: 29+48=77, Resulting Numbers: [30, 17, 77]
Generated Node #2: [30, 17, 77] from Operation: 29+48=77
Current State: 90:[30, 17, 77], Operations: ['29+48=77']
Exploring Operation: 30-17=13, Resulting Numbers: [77, 13]
Generated Node #3: [77, 13] from Operation: 30-17=13
Current State: 90:[77, 13], Operations: ['29+48=77', '30-17=13']
Exploring Operation: 77+13=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[29, 48, 30, 17], Operations: []
Exploring Operation: 48-29=19, Resulting Numbers: [30, 17, 19]
Generated Node #0,0: 90:[30, 17, 19] Operation: 48-29=19
Exploring Operation: 48-30=18, Resulting Numbers: [29, 17, 18]
Generated Node #0,1: 90:[29, 17, 18] Operation: 48-30=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[30, 17, 19], Operations: ['48-29=19']
Exploring Operation: 30-19=11, Resulting Numbers: [17, 11]
Generated Node #0,0,0: 90:[17, 11] Operation: 30-19=11
Exploring Operation: 19-17=2, Resulting Numbers: [30, 2]
Generated Node #0,0,1: 90:[30, 2] Operation: 19-17=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 90:[30, 2], Operations: ['48-29=19', '19-17=2']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,90 unequal: No Solution
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,90 unequal: No Solution
No 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: 90:[17, 11], Operations: ['48-29=19', '30-19=11']
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,90 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,90 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[29, 17, 18], Operations: ['48-30=18']
Exploring Operation: 29-17=12, Resulting Numbers: [18, 12]
Generated Node #0,1,0: 90:[18, 12] Operation: 29-17=12
Exploring Operation: 29+17=46, Resulting Numbers: [18, 46]
Generated Node #0,1,1: 90:[18, 46] Operation: 29+17=46
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 90:[18, 46], Operations: ['48-30=18', '29+17=46']
Exploring Operation: 18+46=64, Resulting Numbers: [64]
64,90 unequal: No Solution
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,90 unequal: No Solution
No 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: 90:[18, 12], Operations: ['48-30=18', '29-17=12']
Exploring Operation: 18+12=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,90 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_2 | mult_heuristic |
[
5,
10,
75,
65
] | 69 | [
"65-5=60",
"60/10=6",
"75-6=69"
] | Current State: 69:[5, 10, 75, 65], Operations: []
Exploring Operation: 65-5=60, Resulting Numbers: [10, 75, 60]
Generated Node #2: [10, 75, 60] from Operation: 65-5=60
Current State: 69:[10, 75, 60], Operations: ['65-5=60']
Exploring Operation: 60/10=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 60/10=6
Current State: 69:[75, 6], Operations: ['65-5=60', '60/10=6']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[5, 10, 75, 65], Operations: []
Exploring Operation: 75-10=65, Resulting Numbers: [5, 65, 65]
Generated Node #0,0: 69:[5, 65, 65] Operation: 75-10=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[5, 65, 65], Operations: ['75-10=65']
Exploring Operation: 65/65=1, Resulting Numbers: [5, 1]
Generated Node #0,0,0: 69:[5, 1] Operation: 65/65=1
Moving to Node #0,0,0
Current State: 69:[5, 1], Operations: ['75-10=65', '65/65=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
16,
36,
67,
72
] | 87 | [
"16+36=52",
"67+72=139",
"139-52=87"
] | Current State: 87:[16, 36, 67, 72], Operations: []
Exploring Operation: 16+36=52, Resulting Numbers: [67, 72, 52]
Generated Node #2: [67, 72, 52] from Operation: 16+36=52
Current State: 87:[67, 72, 52], Operations: ['16+36=52']
Exploring Operation: 67+72=139, Resulting Numbers: [52, 139]
Generated Node #3: [52, 139] from Operation: 67+72=139
Current State: 87:[52, 139], Operations: ['16+36=52', '67+72=139']
Exploring Operation: 139-52=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[16, 36, 67, 72], Operations: []
Exploring Operation: 72-67=5, Resulting Numbers: [16, 36, 5]
Generated Node #0,0: 87:[16, 36, 5] Operation: 72-67=5
Exploring Operation: 16+72=88, Resulting Numbers: [36, 67, 88]
Generated Node #0,1: 87:[36, 67, 88] Operation: 16+72=88
Exploring Operation: 16+67=83, Resulting Numbers: [36, 72, 83]
Generated Node #0,2: 87:[36, 72, 83] Operation: 16+67=83
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[16, 36, 5], Operations: ['72-67=5']
Exploring Operation: 36-16=20, Resulting Numbers: [5, 20]
Generated Node #0,0,0: 87:[5, 20] Operation: 36-16=20
Exploring Operation: 16*5=80, Resulting Numbers: [36, 80]
Generated Node #0,0,1: 87:[36, 80] Operation: 16*5=80
Exploring Operation: 16+5=21, Resulting Numbers: [36, 21]
Generated Node #0,0,2: 87:[36, 21] Operation: 16+5=21
Moving to Node #0,0,0
Current State: 87:[5, 20], Operations: ['72-67=5', '36-16=20']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,87 unequal: No Solution
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[36, 80], Operations: ['72-67=5', '16*5=80']
Exploring Operation: 36+80=116, Resulting Numbers: [116]
116,87 unequal: No Solution
Exploring Operation: 36*80=2880, Resulting Numbers: [2880]
2880,87 unequal: No Solution
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Moving to Node #0,0,2
Current State: 87:[36, 21], Operations: ['72-67=5', '16+5=21']
Exploring Operation: 36*21=756, Resulting Numbers: [756]
756,87 unequal: No Solution
Exploring Operation: 36+21=57, Resulting Numbers: [57]
57,87 unequal: No Solution
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[36, 72, 83], Operations: ['16+67=83']
Exploring Operation: 72/36=2, Resulting Numbers: [83, 2]
Generated Node #0,2,0: 87:[83, 2] Operation: 72/36=2
Exploring Operation: 72-36=36, Resulting Numbers: [83, 36]
Generated Node #0,2,1: 87:[83, 36] Operation: 72-36=36
Exploring Operation: 83-72=11, Resulting Numbers: [36, 11]
Generated Node #0,2,2: 87:[36, 11] Operation: 83-72=11
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 87:[83, 2], Operations: ['16+67=83', '72/36=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,87 unequal: No Solution
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,87 unequal: No Solution
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,87 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:[83, 36], Operations: ['16+67=83', '72-36=36']
Exploring Operation: 83+36=119, Resulting Numbers: [119]
119,87 unequal: No Solution
Exploring Operation: 83-36=47, Resulting Numbers: [47]
47,87 unequal: No Solution
Exploring Operation: 83*36=2988, Resulting Numbers: [2988]
2988,87 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:[36, 11], Operations: ['16+67=83', '83-72=11']
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,87 unequal: No Solution
Exploring Operation: 36*11=396, Resulting Numbers: [396]
396,87 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,87 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:[36, 67, 88], Operations: ['16+72=88']
Exploring Operation: 36+67=103, Resulting Numbers: [88, 103]
Generated Node #0,1,0: 87:[88, 103] Operation: 36+67=103
Exploring Operation: 67-36=31, Resulting Numbers: [88, 31]
Generated Node #0,1,1: 87:[88, 31] Operation: 67-36=31
Exploring Operation: 88-67=21, Resulting Numbers: [36, 21]
Generated Node #0,1,2: 87:[36, 21] Operation: 88-67=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[88, 31], Operations: ['16+72=88', '67-36=31']
Exploring Operation: 88+31=119, Resulting Numbers: [119]
119,87 unequal: No Solution
Exploring Operation: 88*31=2728, Resulting Numbers: [2728]
2728,87 unequal: No Solution
Exploring Operation: 88-31=57, Resulting Numbers: [57]
57,87 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:[36, 21], Operations: ['16+72=88', '88-67=21']
Exploring Operation: 36+21=57, Resulting Numbers: [57]
57,87 unequal: No Solution
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,87 unequal: No Solution
Exploring Operation: 36*21=756, Resulting Numbers: [756]
756,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[88, 103], Operations: ['16+72=88', '36+67=103']
Exploring Operation: 103-88=15, Resulting Numbers: [15]
15,87 unequal: No Solution
Exploring Operation: 88*103=9064, Resulting Numbers: [9064]
9064,87 unequal: No Solution
Exploring Operation: 88+103=191, Resulting Numbers: [191]
191,87 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_3 | sum_heuristic |
[
47,
16,
56,
33
] | 54 | [
"47-16=31",
"56-33=23",
"31+23=54"
] | Current State: 54:[47, 16, 56, 33], Operations: []
Exploring Operation: 47-16=31, Resulting Numbers: [56, 33, 31]
Generated Node #2: [56, 33, 31] from Operation: 47-16=31
Current State: 54:[56, 33, 31], Operations: ['47-16=31']
Exploring Operation: 56-33=23, Resulting Numbers: [31, 23]
Generated Node #3: [31, 23] from Operation: 56-33=23
Current State: 54:[31, 23], Operations: ['47-16=31', '56-33=23']
Exploring Operation: 31+23=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[47, 16, 56, 33], Operations: []
Exploring Operation: 56-47=9, Resulting Numbers: [16, 33, 9]
Generated Node #0,0: 54:[16, 33, 9] Operation: 56-47=9
Exploring Operation: 47-33=14, Resulting Numbers: [16, 56, 14]
Generated Node #0,1: 54:[16, 56, 14] Operation: 47-33=14
Exploring Operation: 47-16=31, Resulting Numbers: [56, 33, 31]
Generated Node #0,2: 54:[56, 33, 31] Operation: 47-16=31
Exploring Operation: 33-16=17, Resulting Numbers: [47, 56, 17]
Generated Node #0,3: 54:[47, 56, 17] Operation: 33-16=17
Moving to Node #0,0
Current State: 54:[16, 33, 9], Operations: ['56-47=9']
Exploring Operation: 16-9=7, Resulting Numbers: [33, 7]
Generated Node #0,0,0: 54:[33, 7] Operation: 16-9=7
Exploring Operation: 33-16=17, Resulting Numbers: [9, 17]
Generated Node #0,0,1: 54:[9, 17] Operation: 33-16=17
Exploring Operation: 33-9=24, Resulting Numbers: [16, 24]
Generated Node #0,0,2: 54:[16, 24] Operation: 33-9=24
Exploring Operation: 16+33=49, Resulting Numbers: [9, 49]
Generated Node #0,0,3: 54:[9, 49] Operation: 16+33=49
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[9, 17], Operations: ['56-47=9', '33-16=17']
Exploring Operation: 9+17=26, Resulting Numbers: [26]
26,54 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 9*17=153, Resulting Numbers: [153]
153,54 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 #0,0,2
Current State: 54:[16, 24], Operations: ['56-47=9', '33-9=24']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 16*24=384, Resulting Numbers: [384]
384,54 unequal: No Solution
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,54 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 #0,0,3
Current State: 54:[9, 49], Operations: ['56-47=9', '16+33=49']
Exploring Operation: 9*49=441, Resulting Numbers: [441]
441,54 unequal: No Solution
Exploring Operation: 9+49=58, Resulting Numbers: [58]
58,54 unequal: No Solution
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,54 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:[33, 7], Operations: ['56-47=9', '16-9=7']
Exploring Operation: 33+7=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Exploring Operation: 33*7=231, Resulting Numbers: [231]
231,54 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,54 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: 54:[16, 56, 14], Operations: ['47-33=14']
Exploring Operation: 16-14=2, Resulting Numbers: [56, 2]
Generated Node #0,1,0: 54:[56, 2] Operation: 16-14=2
Exploring Operation: 56/14=4, Resulting Numbers: [16, 4]
Generated Node #0,1,1: 54:[16, 4] Operation: 56/14=4
Exploring Operation: 56-14=42, Resulting Numbers: [16, 42]
Generated Node #0,1,2: 54:[16, 42] Operation: 56-14=42
Exploring Operation: 16+14=30, Resulting Numbers: [56, 30]
Generated Node #0,1,3: 54:[56, 30] Operation: 16+14=30
Moving to Node #0,3
Current State: 54:[47, 56, 17], Operations: ['33-16=17']
Exploring Operation: 56-17=39, Resulting Numbers: [47, 39]
Generated Node #0,3,0: 54:[47, 39] Operation: 56-17=39
Exploring Operation: 56-47=9, Resulting Numbers: [17, 9]
Generated Node #0,3,1: 54:[17, 9] Operation: 56-47=9
Exploring Operation: 47+17=64, Resulting Numbers: [56, 64]
Generated Node #0,3,2: 54:[56, 64] Operation: 47+17=64
Exploring Operation: 47-17=30, Resulting Numbers: [56, 30]
Generated Node #0,3,3: 54:[56, 30] Operation: 47-17=30
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 54:[17, 9], Operations: ['33-16=17', '56-47=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,54 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,54 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:[56, 30], Operations: ['33-16=17', '47-17=30']
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,54 unequal: No Solution
Exploring Operation: 56*30=1680, Resulting Numbers: [1680]
1680,54 unequal: No Solution
Exploring Operation: 56+30=86, Resulting Numbers: [86]
86,54 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:[56, 64], Operations: ['33-16=17', '47+17=64']
Exploring Operation: 56*64=3584, Resulting Numbers: [3584]
3584,54 unequal: No Solution
Exploring Operation: 64-56=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 56+64=120, Resulting Numbers: [120]
120,54 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 #0,3,0
Current State: 54:[47, 39], Operations: ['33-16=17', '56-17=39']
Exploring Operation: 47-39=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 47+39=86, Resulting Numbers: [86]
86,54 unequal: No Solution
Exploring Operation: 47*39=1833, Resulting Numbers: [1833]
1833,54 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:[56, 33, 31], Operations: ['47-16=31']
Exploring Operation: 33+31=64, Resulting Numbers: [56, 64]
Generated Node #0,2,0: 54:[56, 64] Operation: 33+31=64
Exploring Operation: 56-33=23, Resulting Numbers: [31, 23]
Generated Node #0,2,1: 54:[31, 23] Operation: 56-33=23
Exploring Operation: 33-31=2, Resulting Numbers: [56, 2]
Generated Node #0,2,2: 54:[56, 2] Operation: 33-31=2
Exploring Operation: 56-31=25, Resulting Numbers: [33, 25]
Generated Node #0,2,3: 54:[33, 25] Operation: 56-31=25
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 54:[56, 2], Operations: ['47-16=31', '33-31=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,54 unequal: No Solution
Exploring Operation: 56*2=112, Resulting Numbers: [112]
112,54 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,54 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[47, 16, 56, 33], Operations: []
Exploring Operation: 47-16=31, Resulting Numbers: [56, 33, 31]
Generated Node #0,2: 54:[56, 33, 31] Operation: 47-16=31
Moving to Node #0,2
Current State: 54:[56, 33, 31], Operations: ['47-16=31']
Exploring Operation: 33-31=2, Resulting Numbers: [56, 2]
Generated Node #0,2,2: 54:[56, 2] Operation: 33-31=2
Moving to Node #0,2,2
Current State: 54:[56, 2], Operations: ['47-16=31', '33-31=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 | hs_4 | mult_heuristic |
[
90,
44,
86,
3
] | 56 | [
"90-86=4",
"3*4=12",
"44+12=56"
] | Current State: 56:[90, 44, 86, 3], Operations: []
Exploring Operation: 90-86=4, Resulting Numbers: [44, 3, 4]
Generated Node #2: [44, 3, 4] from Operation: 90-86=4
Current State: 56:[44, 3, 4], Operations: ['90-86=4']
Exploring Operation: 3*4=12, Resulting Numbers: [44, 12]
Generated Node #3: [44, 12] from Operation: 3*4=12
Current State: 56:[44, 12], Operations: ['90-86=4', '3*4=12']
Exploring Operation: 44+12=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[90, 44, 86, 3], Operations: []
Exploring Operation: 90-44=46, Resulting Numbers: [86, 3, 46]
Generated Node #0,0: 56:[86, 3, 46] Operation: 90-44=46
Exploring Operation: 90-86=4, Resulting Numbers: [44, 3, 4]
Generated Node #0,1: 56:[44, 3, 4] Operation: 90-86=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[44, 3, 4], Operations: ['90-86=4']
Exploring Operation: 44+3=47, Resulting Numbers: [4, 47]
Generated Node #0,1,0: 56:[4, 47] Operation: 44+3=47
Exploring Operation: 44/4=11, Resulting Numbers: [3, 11]
Generated Node #0,1,1: 56:[3, 11] Operation: 44/4=11
Moving to Node #0,1,1
Current State: 56:[3, 11], Operations: ['90-86=4', '44/4=11']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[4, 47], Operations: ['90-86=4', '44+3=47']
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,56 unequal: No Solution
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[86, 3, 46], Operations: ['90-44=46']
Exploring Operation: 86-46=40, Resulting Numbers: [3, 40]
Generated Node #0,0,0: 56:[3, 40] Operation: 86-46=40
Exploring Operation: 86-3=83, Resulting Numbers: [46, 83]
Generated Node #0,0,1: 56:[46, 83] Operation: 86-3=83
Moving to Node #0,0,0
Current State: 56:[3, 40], Operations: ['90-44=46', '86-46=40']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,56 unequal: No Solution
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[46, 83], Operations: ['90-44=46', '86-3=83']
Exploring Operation: 46+83=129, Resulting Numbers: [129]
129,56 unequal: No Solution
Exploring Operation: 83-46=37, Resulting Numbers: [37]
37,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
24,
44,
49,
39
] | 81 | [
"49-44=5",
"24*5=120",
"120-39=81"
] | Current State: 81:[24, 44, 49, 39], Operations: []
Exploring Operation: 49-44=5, Resulting Numbers: [24, 39, 5]
Generated Node #2: [24, 39, 5] from Operation: 49-44=5
Current State: 81:[24, 39, 5], Operations: ['49-44=5']
Exploring Operation: 24*5=120, Resulting Numbers: [39, 120]
Generated Node #3: [39, 120] from Operation: 24*5=120
Current State: 81:[39, 120], Operations: ['49-44=5', '24*5=120']
Exploring Operation: 120-39=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[24, 44, 49, 39], Operations: []
Exploring Operation: 49-39=10, Resulting Numbers: [24, 44, 10]
Generated Node #0,0: 81:[24, 44, 10] Operation: 49-39=10
Exploring Operation: 44+49=93, Resulting Numbers: [24, 39, 93]
Generated Node #0,1: 81:[24, 39, 93] Operation: 44+49=93
Exploring Operation: 49-44=5, Resulting Numbers: [24, 39, 5]
Generated Node #0,2: 81:[24, 39, 5] Operation: 49-44=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[24, 39, 5], Operations: ['49-44=5']
Exploring Operation: 24+5=29, Resulting Numbers: [39, 29]
Generated Node #0,2,0: 81:[39, 29] Operation: 24+5=29
Exploring Operation: 39-24=15, Resulting Numbers: [5, 15]
Generated Node #0,2,1: 81:[5, 15] Operation: 39-24=15
Exploring Operation: 39-5=34, Resulting Numbers: [24, 34]
Generated Node #0,2,2: 81:[24, 34] Operation: 39-5=34
Moving to Node #0,2,1
Current State: 81:[5, 15], Operations: ['49-44=5', '39-24=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[24, 34], Operations: ['49-44=5', '39-5=34']
Exploring Operation: 24*34=816, Resulting Numbers: [816]
816,81 unequal: No Solution
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,81 unequal: No Solution
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[39, 29], Operations: ['49-44=5', '24+5=29']
Exploring Operation: 39*29=1131, Resulting Numbers: [1131]
1131,81 unequal: No Solution
Exploring Operation: 39+29=68, Resulting Numbers: [68]
68,81 unequal: No Solution
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[24, 44, 10], Operations: ['49-39=10']
Exploring Operation: 24+44=68, Resulting Numbers: [10, 68]
Generated Node #0,0,0: 81:[10, 68] Operation: 24+44=68
Exploring Operation: 44-24=20, Resulting Numbers: [10, 20]
Generated Node #0,0,1: 81:[10, 20] Operation: 44-24=20
Exploring Operation: 44-10=34, Resulting Numbers: [24, 34]
Generated Node #0,0,2: 81:[24, 34] Operation: 44-10=34
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[10, 20], Operations: ['49-39=10', '44-24=20']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 81:[24, 34], Operations: ['49-39=10', '44-10=34']
Exploring Operation: 24*34=816, Resulting Numbers: [816]
816,81 unequal: No Solution
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[10, 68], Operations: ['49-39=10', '24+44=68']
Exploring Operation: 10*68=680, Resulting Numbers: [680]
680,81 unequal: No Solution
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,81 unequal: No Solution
Exploring Operation: 10+68=78, Resulting Numbers: [78]
78,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[24, 39, 93], Operations: ['44+49=93']
Exploring Operation: 24+39=63, Resulting Numbers: [93, 63]
Generated Node #0,1,0: 81:[93, 63] Operation: 24+39=63
Exploring Operation: 39-24=15, Resulting Numbers: [93, 15]
Generated Node #0,1,1: 81:[93, 15] Operation: 39-24=15
Exploring Operation: 93-24=69, Resulting Numbers: [39, 69]
Generated Node #0,1,2: 81:[39, 69] Operation: 93-24=69
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 81:[93, 15], Operations: ['44+49=93', '39-24=15']
Exploring Operation: 93+15=108, Resulting Numbers: [108]
108,81 unequal: No Solution
Exploring Operation: 93*15=1395, Resulting Numbers: [1395]
1395,81 unequal: No Solution
Exploring Operation: 93-15=78, Resulting Numbers: [78]
78,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 81:[39, 69], Operations: ['44+49=93', '93-24=69']
Exploring Operation: 39*69=2691, Resulting Numbers: [2691]
2691,81 unequal: No Solution
Exploring Operation: 39+69=108, Resulting Numbers: [108]
108,81 unequal: No Solution
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 81:[93, 63], Operations: ['44+49=93', '24+39=63']
Exploring Operation: 93*63=5859, Resulting Numbers: [5859]
5859,81 unequal: No Solution
Exploring Operation: 93+63=156, Resulting Numbers: [156]
156,81 unequal: No Solution
Exploring Operation: 93-63=30, Resulting Numbers: [30]
30,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
87,
29,
56,
77
] | 63 | [
"87/29=3",
"77-56=21",
"3*21=63"
] | Current State: 63:[87, 29, 56, 77], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [56, 77, 3]
Generated Node #2: [56, 77, 3] from Operation: 87/29=3
Current State: 63:[56, 77, 3], Operations: ['87/29=3']
Exploring Operation: 77-56=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 77-56=21
Current State: 63:[3, 21], Operations: ['87/29=3', '77-56=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[87, 29, 56, 77], Operations: []
Exploring Operation: 87-29=58, Resulting Numbers: [56, 77, 58]
Generated Node #0,0: 63:[56, 77, 58] Operation: 87-29=58
Exploring Operation: 87/29=3, Resulting Numbers: [56, 77, 3]
Generated Node #0,1: 63:[56, 77, 3] Operation: 87/29=3
Exploring Operation: 77-56=21, Resulting Numbers: [87, 29, 21]
Generated Node #0,2: 63:[87, 29, 21] Operation: 77-56=21
Exploring Operation: 87-56=31, Resulting Numbers: [29, 77, 31]
Generated Node #0,3: 63:[29, 77, 31] Operation: 87-56=31
Exploring Operation: 87-77=10, Resulting Numbers: [29, 56, 10]
Generated Node #0,4: 63:[29, 56, 10] Operation: 87-77=10
Start Sub Search at level 1: Moving to Node #0,4
Current State: 63:[29, 56, 10], Operations: ['87-77=10']
Exploring Operation: 29+10=39, Resulting Numbers: [56, 39]
Generated Node #0,4,0: 63:[56, 39] Operation: 29+10=39
Exploring Operation: 29-10=19, Resulting Numbers: [56, 19]
Generated Node #0,4,1: 63:[56, 19] Operation: 29-10=19
Exploring Operation: 56-29=27, Resulting Numbers: [10, 27]
Generated Node #0,4,2: 63:[10, 27] Operation: 56-29=27
Exploring Operation: 56+10=66, Resulting Numbers: [29, 66]
Generated Node #0,4,3: 63:[29, 66] Operation: 56+10=66
Exploring Operation: 29+56=85, Resulting Numbers: [10, 85]
Generated Node #0,4,4: 63:[10, 85] Operation: 29+56=85
Moving to Node #0,4,2
Current State: 63:[10, 27], Operations: ['87-77=10', '56-29=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,63 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,63 unequal: No Solution
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,63 unequal: No Solution
Moving to Node #0,4,1
Current State: 63:[56, 19], Operations: ['87-77=10', '29-10=19']
Exploring Operation: 56+19=75, Resulting Numbers: [75]
75,63 unequal: No Solution
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,63 unequal: No Solution
Exploring Operation: 56*19=1064, Resulting Numbers: [1064]
1064,63 unequal: No Solution
Moving to Node #0,4,3
Current State: 63:[29, 66], Operations: ['87-77=10', '56+10=66']
Exploring Operation: 29*66=1914, Resulting Numbers: [1914]
1914,63 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,63 unequal: No Solution
Exploring Operation: 29+66=95, Resulting Numbers: [95]
95,63 unequal: No Solution
Moving to Node #0,4,4
Current State: 63:[10, 85], Operations: ['87-77=10', '29+56=85']
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,63 unequal: No Solution
Exploring Operation: 10+85=95, Resulting Numbers: [95]
95,63 unequal: No Solution
Exploring Operation: 10*85=850, Resulting Numbers: [850]
850,63 unequal: No Solution
Moving to Node #0,4,0
Current State: 63:[56, 39], Operations: ['87-77=10', '29+10=39']
Exploring Operation: 56*39=2184, Resulting Numbers: [2184]
2184,63 unequal: No Solution
Exploring Operation: 56+39=95, Resulting Numbers: [95]
95,63 unequal: No Solution
Exploring Operation: 56-39=17, Resulting Numbers: [17]
17,63 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
Current State: 63:[56, 77, 3], Operations: ['87/29=3']
Exploring Operation: 77+3=80, Resulting Numbers: [56, 80]
Generated Node #0,1,0: 63:[56, 80] Operation: 77+3=80
Exploring Operation: 77-56=21, Resulting Numbers: [3, 21]
Generated Node #0,1,1: 63:[3, 21] Operation: 77-56=21
Exploring Operation: 56-3=53, Resulting Numbers: [77, 53]
Generated Node #0,1,2: 63:[77, 53] Operation: 56-3=53
Exploring Operation: 56+3=59, Resulting Numbers: [77, 59]
Generated Node #0,1,3: 63:[77, 59] Operation: 56+3=59
Exploring Operation: 77-3=74, Resulting Numbers: [56, 74]
Generated Node #0,1,4: 63:[56, 74] Operation: 77-3=74
Moving to Node #0,1,1
Current State: 63:[3, 21], Operations: ['87/29=3', '77-56=21']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,63 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[87, 29, 56, 77], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [56, 77, 3]
Generated Node #0,1: 63:[56, 77, 3] Operation: 87/29=3
Moving to Node #0,1
Current State: 63:[56, 77, 3], Operations: ['87/29=3']
Exploring Operation: 77-56=21, Resulting Numbers: [3, 21]
Generated Node #0,1,1: 63:[3, 21] Operation: 77-56=21
Moving to Node #0,1,1
Current State: 63:[3, 21], Operations: ['87/29=3', '77-56=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_5 | sum_heuristic |
[
51,
59,
5,
88
] | 94 | [
"88-59=29",
"5*29=145",
"145-51=94"
] | Current State: 94:[51, 59, 5, 88], Operations: []
Exploring Operation: 88-59=29, Resulting Numbers: [51, 5, 29]
Generated Node #2: [51, 5, 29] from Operation: 88-59=29
Current State: 94:[51, 5, 29], Operations: ['88-59=29']
Exploring Operation: 5*29=145, Resulting Numbers: [51, 145]
Generated Node #3: [51, 145] from Operation: 5*29=145
Current State: 94:[51, 145], Operations: ['88-59=29', '5*29=145']
Exploring Operation: 145-51=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[51, 59, 5, 88], Operations: []
Exploring Operation: 51-5=46, Resulting Numbers: [59, 88, 46]
Generated Node #0,0: 94:[59, 88, 46] Operation: 51-5=46
Exploring Operation: 59-5=54, Resulting Numbers: [51, 88, 54]
Generated Node #0,1: 94:[51, 88, 54] Operation: 59-5=54
Exploring Operation: 59-51=8, Resulting Numbers: [5, 88, 8]
Generated Node #0,2: 94:[5, 88, 8] Operation: 59-51=8
Exploring Operation: 5+88=93, Resulting Numbers: [51, 59, 93]
Generated Node #0,3: 94:[51, 59, 93] Operation: 5+88=93
Moving to Node #0,2
Current State: 94:[5, 88, 8], Operations: ['59-51=8']
Exploring Operation: 88/8=11, Resulting Numbers: [5, 11]
Generated Node #0,2,0: 94:[5, 11] Operation: 88/8=11
Exploring Operation: 5+88=93, Resulting Numbers: [8, 93]
Generated Node #0,2,1: 94:[8, 93] Operation: 5+88=93
Exploring Operation: 8-5=3, Resulting Numbers: [88, 3]
Generated Node #0,2,2: 94:[88, 3] Operation: 8-5=3
Exploring Operation: 88+8=96, Resulting Numbers: [5, 96]
Generated Node #0,2,3: 94:[5, 96] Operation: 88+8=96
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 94:[5, 96], Operations: ['59-51=8', '88+8=96']
Exploring Operation: 5*96=480, Resulting Numbers: [480]
480,94 unequal: No Solution
Exploring Operation: 5+96=101, Resulting Numbers: [101]
101,94 unequal: No Solution
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 94:[8, 93], Operations: ['59-51=8', '5+88=93']
Exploring Operation: 8+93=101, Resulting Numbers: [101]
101,94 unequal: No Solution
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,94 unequal: No Solution
Exploring Operation: 8*93=744, Resulting Numbers: [744]
744,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 94:[88, 3], Operations: ['59-51=8', '8-5=3']
Exploring Operation: 88*3=264, Resulting Numbers: [264]
264,94 unequal: No Solution
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,94 unequal: No Solution
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 94:[5, 11], Operations: ['59-51=8', '88/8=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,94 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,94 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: 94:[51, 59, 93], Operations: ['5+88=93']
Exploring Operation: 93-51=42, Resulting Numbers: [59, 42]
Generated Node #0,3,0: 94:[59, 42] Operation: 93-51=42
Exploring Operation: 51+59=110, Resulting Numbers: [93, 110]
Generated Node #0,3,1: 94:[93, 110] Operation: 51+59=110
Exploring Operation: 93-59=34, Resulting Numbers: [51, 34]
Generated Node #0,3,2: 94:[51, 34] Operation: 93-59=34
Exploring Operation: 59-51=8, Resulting Numbers: [93, 8]
Generated Node #0,3,3: 94:[93, 8] Operation: 59-51=8
Moving to Node #0,1
Current State: 94:[51, 88, 54], Operations: ['59-5=54']
Exploring Operation: 88-54=34, Resulting Numbers: [51, 34]
Generated Node #0,1,0: 94:[51, 34] Operation: 88-54=34
Exploring Operation: 54-51=3, Resulting Numbers: [88, 3]
Generated Node #0,1,1: 94:[88, 3] Operation: 54-51=3
Exploring Operation: 51+54=105, Resulting Numbers: [88, 105]
Generated Node #0,1,2: 94:[88, 105] Operation: 51+54=105
Exploring Operation: 88-51=37, Resulting Numbers: [54, 37]
Generated Node #0,1,3: 94:[54, 37] Operation: 88-51=37
Moving to Node #0,0
Current State: 94:[59, 88, 46], Operations: ['51-5=46']
Exploring Operation: 59-46=13, Resulting Numbers: [88, 13]
Generated Node #0,0,0: 94:[88, 13] Operation: 59-46=13
Exploring Operation: 88-46=42, Resulting Numbers: [59, 42]
Generated Node #0,0,1: 94:[59, 42] Operation: 88-46=42
Exploring Operation: 59+46=105, Resulting Numbers: [88, 105]
Generated Node #0,0,2: 94:[88, 105] Operation: 59+46=105
Exploring Operation: 88-59=29, Resulting Numbers: [46, 29]
Generated Node #0,0,3: 94:[46, 29] Operation: 88-59=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[88, 13], Operations: ['51-5=46', '59-46=13']
Exploring Operation: 88*13=1144, Resulting Numbers: [1144]
1144,94 unequal: No Solution
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,94 unequal: No Solution
Exploring Operation: 88+13=101, Resulting Numbers: [101]
101,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[59, 42], Operations: ['51-5=46', '88-46=42']
Exploring Operation: 59*42=2478, Resulting Numbers: [2478]
2478,94 unequal: No Solution
Exploring Operation: 59-42=17, Resulting Numbers: [17]
17,94 unequal: No Solution
Exploring Operation: 59+42=101, Resulting Numbers: [101]
101,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 94:[88, 105], Operations: ['51-5=46', '59+46=105']
Exploring Operation: 88+105=193, Resulting Numbers: [193]
193,94 unequal: No Solution
Exploring Operation: 105-88=17, Resulting Numbers: [17]
17,94 unequal: No Solution
Exploring Operation: 88*105=9240, Resulting Numbers: [9240]
9240,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 94:[46, 29], Operations: ['51-5=46', '88-59=29']
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,94 unequal: No Solution
Exploring Operation: 46*29=1334, Resulting Numbers: [1334]
1334,94 unequal: No Solution
Exploring Operation: 46+29=75, Resulting Numbers: [75]
75,94 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: 94:[93, 8], Operations: ['5+88=93', '59-51=8']
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,94 unequal: No Solution
Exploring Operation: 93+8=101, Resulting Numbers: [101]
101,94 unequal: No Solution
Exploring Operation: 93*8=744, Resulting Numbers: [744]
744,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[88, 3], Operations: ['59-5=54', '54-51=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,94 unequal: No Solution
Exploring Operation: 88*3=264, Resulting Numbers: [264]
264,94 unequal: No Solution
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,94 unequal: No Solution
Moving to Node #0,3,1
Current State: 94:[93, 110], Operations: ['5+88=93', '51+59=110']
Exploring Operation: 93+110=203, Resulting Numbers: [203]
203,94 unequal: No Solution
Exploring Operation: 110-93=17, Resulting Numbers: [17]
17,94 unequal: No Solution
Exploring Operation: 93*110=10230, Resulting Numbers: [10230]
10230,94 unequal: No Solution
Moving to Node #0,1,0
Current State: 94:[51, 34], Operations: ['59-5=54', '88-54=34']
Exploring Operation: 51-34=17, Resulting Numbers: [17]
17,94 unequal: No Solution
Exploring Operation: 51*34=1734, Resulting Numbers: [1734]
1734,94 unequal: No Solution
Exploring Operation: 51+34=85, Resulting Numbers: [85]
85,94 unequal: No Solution
Moving to Node #0,1,2
Current State: 94:[88, 105], Operations: ['59-5=54', '51+54=105']
Exploring Operation: 88+105=193, Resulting Numbers: [193]
193,94 unequal: No Solution
Exploring Operation: 88*105=9240, Resulting Numbers: [9240]
9240,94 unequal: No Solution
Exploring Operation: 105-88=17, Resulting Numbers: [17]
17,94 unequal: No Solution
Moving to Node #0,1,3
Current State: 94:[54, 37], Operations: ['59-5=54', '88-51=37']
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,94 unequal: No Solution
Exploring Operation: 54*37=1998, Resulting Numbers: [1998]
1998,94 unequal: No Solution
Exploring Operation: 54+37=91, Resulting Numbers: [91]
91,94 unequal: No Solution
Moving to Node #0,3,0
Current State: 94:[59, 42], Operations: ['5+88=93', '93-51=42']
Exploring Operation: 59+42=101, Resulting Numbers: [101]
101,94 unequal: No Solution
Exploring Operation: 59*42=2478, Resulting Numbers: [2478]
2478,94 unequal: No Solution
Exploring Operation: 59-42=17, Resulting Numbers: [17]
17,94 unequal: No Solution
Moving to Node #0,3,2
Current State: 94:[51, 34], Operations: ['5+88=93', '93-59=34']
Exploring Operation: 51+34=85, Resulting Numbers: [85]
85,94 unequal: No Solution
Exploring Operation: 51*34=1734, Resulting Numbers: [1734]
1734,94 unequal: No Solution
Exploring Operation: 51-34=17, Resulting Numbers: [17]
17,94 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
79,
17,
12,
14
] | 43 | [
"17-14=3",
"12*3=36",
"79-36=43"
] | Current State: 43:[79, 17, 12, 14], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [79, 12, 3]
Generated Node #2: [79, 12, 3] from Operation: 17-14=3
Current State: 43:[79, 12, 3], Operations: ['17-14=3']
Exploring Operation: 12*3=36, Resulting Numbers: [79, 36]
Generated Node #3: [79, 36] from Operation: 12*3=36
Current State: 43:[79, 36], Operations: ['17-14=3', '12*3=36']
Exploring Operation: 79-36=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[79, 17, 12, 14], Operations: []
Exploring Operation: 79-17=62, Resulting Numbers: [12, 14, 62]
Generated Node #0,0: 43:[12, 14, 62] Operation: 79-17=62
Moving to Node #0,0
Current State: 43:[12, 14, 62], Operations: ['79-17=62']
Exploring Operation: 12+14=26, Resulting Numbers: [62, 26]
Generated Node #0,0,0: 43:[62, 26] Operation: 12+14=26
Moving to Node #0,0,0
Current State: 43:[62, 26], Operations: ['79-17=62', '12+14=26']
Exploring Operation: 62-26=36, Resulting Numbers: [36]
36,43 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
78,
2,
37,
7
] | 93 | [
"37-7=30",
"30/2=15",
"78+15=93"
] | Current State: 93:[78, 2, 37, 7], Operations: []
Exploring Operation: 37-7=30, Resulting Numbers: [78, 2, 30]
Generated Node #2: [78, 2, 30] from Operation: 37-7=30
Current State: 93:[78, 2, 30], Operations: ['37-7=30']
Exploring Operation: 30/2=15, Resulting Numbers: [78, 15]
Generated Node #3: [78, 15] from Operation: 30/2=15
Current State: 93:[78, 15], Operations: ['37-7=30', '30/2=15']
Exploring Operation: 78+15=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[78, 2, 37, 7], Operations: []
Exploring Operation: 78-37=41, Resulting Numbers: [2, 7, 41]
Generated Node #0,0: 93:[2, 7, 41] Operation: 78-37=41
Exploring Operation: 78+7=85, Resulting Numbers: [2, 37, 85]
Generated Node #0,1: 93:[2, 37, 85] Operation: 78+7=85
Exploring Operation: 78/2=39, Resulting Numbers: [37, 7, 39]
Generated Node #0,2: 93:[37, 7, 39] Operation: 78/2=39
Exploring Operation: 37-7=30, Resulting Numbers: [78, 2, 30]
Generated Node #0,3: 93:[78, 2, 30] Operation: 37-7=30
Moving to Node #0,0
Current State: 93:[2, 7, 41], Operations: ['78-37=41']
Exploring Operation: 2*41=82, Resulting Numbers: [7, 82]
Generated Node #0,0,0: 93:[7, 82] Operation: 2*41=82
Exploring Operation: 7-2=5, Resulting Numbers: [41, 5]
Generated Node #0,0,1: 93:[41, 5] Operation: 7-2=5
Exploring Operation: 41-7=34, Resulting Numbers: [2, 34]
Generated Node #0,0,2: 93:[2, 34] Operation: 41-7=34
Exploring Operation: 41-2=39, Resulting Numbers: [7, 39]
Generated Node #0,0,3: 93:[7, 39] Operation: 41-2=39
Moving to Node #0,1
Current State: 93:[2, 37, 85], Operations: ['78+7=85']
Exploring Operation: 85-2=83, Resulting Numbers: [37, 83]
Generated Node #0,1,0: 93:[37, 83] Operation: 85-2=83
Exploring Operation: 2+85=87, Resulting Numbers: [37, 87]
Generated Node #0,1,1: 93:[37, 87] Operation: 2+85=87
Exploring Operation: 37-2=35, Resulting Numbers: [85, 35]
Generated Node #0,1,2: 93:[85, 35] Operation: 37-2=35
Exploring Operation: 2+37=39, Resulting Numbers: [85, 39]
Generated Node #0,1,3: 93:[85, 39] Operation: 2+37=39
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[37, 87], Operations: ['78+7=85', '2+85=87']
Exploring Operation: 37*87=3219, Resulting Numbers: [3219]
3219,93 unequal: No Solution
Exploring Operation: 87-37=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 37+87=124, Resulting Numbers: [124]
124,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 93:[85, 35], Operations: ['78+7=85', '37-2=35']
Exploring Operation: 85*35=2975, Resulting Numbers: [2975]
2975,93 unequal: No Solution
Exploring Operation: 85+35=120, Resulting Numbers: [120]
120,93 unequal: No Solution
Exploring Operation: 85-35=50, Resulting Numbers: [50]
50,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[37, 83], Operations: ['78+7=85', '85-2=83']
Exploring Operation: 37*83=3071, Resulting Numbers: [3071]
3071,93 unequal: No Solution
Exploring Operation: 37+83=120, Resulting Numbers: [120]
120,93 unequal: No Solution
Exploring Operation: 83-37=46, Resulting Numbers: [46]
46,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 93:[85, 39], Operations: ['78+7=85', '2+37=39']
Exploring Operation: 85*39=3315, Resulting Numbers: [3315]
3315,93 unequal: No Solution
Exploring Operation: 85+39=124, Resulting Numbers: [124]
124,93 unequal: No Solution
Exploring Operation: 85-39=46, Resulting Numbers: [46]
46,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 93:[78, 2, 30], Operations: ['37-7=30']
Exploring Operation: 78+30=108, Resulting Numbers: [2, 108]
Generated Node #0,3,0: 93:[2, 108] Operation: 78+30=108
Exploring Operation: 2+30=32, Resulting Numbers: [78, 32]
Generated Node #0,3,1: 93:[78, 32] Operation: 2+30=32
Exploring Operation: 78+2=80, Resulting Numbers: [30, 80]
Generated Node #0,3,2: 93:[30, 80] Operation: 78+2=80
Exploring Operation: 78/2=39, Resulting Numbers: [30, 39]
Generated Node #0,3,3: 93:[30, 39] Operation: 78/2=39
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 93:[30, 39], Operations: ['37-7=30', '78/2=39']
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,93 unequal: No Solution
Exploring Operation: 30*39=1170, Resulting Numbers: [1170]
1170,93 unequal: No Solution
Exploring Operation: 30+39=69, Resulting Numbers: [69]
69,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 93:[30, 80], Operations: ['37-7=30', '78+2=80']
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 30*80=2400, Resulting Numbers: [2400]
2400,93 unequal: No Solution
Exploring Operation: 30+80=110, Resulting Numbers: [110]
110,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 93:[2, 108], Operations: ['37-7=30', '78+30=108']
Exploring Operation: 108/2=54, Resulting Numbers: [54]
54,93 unequal: No Solution
Exploring Operation: 108-2=106, Resulting Numbers: [106]
106,93 unequal: No Solution
Exploring Operation: 2*108=216, Resulting Numbers: [216]
216,93 unequal: No Solution
Exploring Operation: 2+108=110, Resulting Numbers: [110]
110,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 93:[78, 32], Operations: ['37-7=30', '2+30=32']
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Exploring Operation: 78*32=2496, Resulting Numbers: [2496]
2496,93 unequal: No Solution
Exploring Operation: 78+32=110, Resulting Numbers: [110]
110,93 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: 93:[37, 7, 39], Operations: ['78/2=39']
Exploring Operation: 39-7=32, Resulting Numbers: [37, 32]
Generated Node #0,2,0: 93:[37, 32] Operation: 39-7=32
Exploring Operation: 37+7=44, Resulting Numbers: [39, 44]
Generated Node #0,2,1: 93:[39, 44] Operation: 37+7=44
Exploring Operation: 39-37=2, Resulting Numbers: [7, 2]
Generated Node #0,2,2: 93:[7, 2] Operation: 39-37=2
Exploring Operation: 37-7=30, Resulting Numbers: [39, 30]
Generated Node #0,2,3: 93:[39, 30] Operation: 37-7=30
Moving to Node #0,0,2
Current State: 93:[2, 34], Operations: ['78-37=41', '41-7=34']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,93 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[7, 2], Operations: ['78/2=39', '39-37=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,93 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[37, 32], Operations: ['78/2=39', '39-7=32']
Exploring Operation: 37-32=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,93 unequal: No Solution
Exploring Operation: 37*32=1184, Resulting Numbers: [1184]
1184,93 unequal: No Solution
Moving to Node #0,2,3
Current State: 93:[39, 30], Operations: ['78/2=39', '37-7=30']
Exploring Operation: 39*30=1170, Resulting Numbers: [1170]
1170,93 unequal: No Solution
Exploring Operation: 39+30=69, Resulting Numbers: [69]
69,93 unequal: No Solution
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[7, 39], Operations: ['78-37=41', '41-2=39']
Exploring Operation: 7*39=273, Resulting Numbers: [273]
273,93 unequal: No Solution
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[41, 5], Operations: ['78-37=41', '7-2=5']
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Exploring Operation: 41*5=205, Resulting Numbers: [205]
205,93 unequal: No Solution
Exploring Operation: 41+5=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[7, 82], Operations: ['78-37=41', '2*41=82']
Exploring Operation: 7+82=89, Resulting Numbers: [89]
89,93 unequal: No Solution
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,93 unequal: No Solution
Exploring Operation: 7*82=574, Resulting Numbers: [574]
574,93 unequal: No Solution
Moving to Node #0,2,1
Current State: 93:[39, 44], Operations: ['78/2=39', '37+7=44']
Exploring Operation: 39*44=1716, Resulting Numbers: [1716]
1716,93 unequal: No Solution
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 39+44=83, Resulting Numbers: [83]
83,93 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
24,
92,
88,
78
] | 72 | [
"92-88=4",
"24/4=6",
"78-6=72"
] | Current State: 72:[24, 92, 88, 78], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [24, 78, 4]
Generated Node #2: [24, 78, 4] from Operation: 92-88=4
Current State: 72:[24, 78, 4], Operations: ['92-88=4']
Exploring Operation: 24/4=6, Resulting Numbers: [78, 6]
Generated Node #3: [78, 6] from Operation: 24/4=6
Current State: 72:[78, 6], Operations: ['92-88=4', '24/4=6']
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[24, 92, 88, 78], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [24, 78, 4]
Generated Node #0,0: 72:[24, 78, 4] Operation: 92-88=4
Exploring Operation: 88-78=10, Resulting Numbers: [24, 92, 10]
Generated Node #0,1: 72:[24, 92, 10] Operation: 88-78=10
Exploring Operation: 88-24=64, Resulting Numbers: [92, 78, 64]
Generated Node #0,2: 72:[92, 78, 64] Operation: 88-24=64
Exploring Operation: 92-24=68, Resulting Numbers: [88, 78, 68]
Generated Node #0,3: 72:[88, 78, 68] Operation: 92-24=68
Exploring Operation: 92-78=14, Resulting Numbers: [24, 88, 14]
Generated Node #0,4: 72:[24, 88, 14] Operation: 92-78=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[24, 78, 4], Operations: ['92-88=4']
Exploring Operation: 24+4=28, Resulting Numbers: [78, 28]
Generated Node #0,0,0: 72:[78, 28] Operation: 24+4=28
Exploring Operation: 78-4=74, Resulting Numbers: [24, 74]
Generated Node #0,0,1: 72:[24, 74] Operation: 78-4=74
Exploring Operation: 78+4=82, Resulting Numbers: [24, 82]
Generated Node #0,0,2: 72:[24, 82] Operation: 78+4=82
Exploring Operation: 24-4=20, Resulting Numbers: [78, 20]
Generated Node #0,0,3: 72:[78, 20] Operation: 24-4=20
Exploring Operation: 24/4=6, Resulting Numbers: [78, 6]
Generated Node #0,0,4: 72:[78, 6] Operation: 24/4=6
Moving to Node #0,0,1
Current State: 72:[24, 74], Operations: ['92-88=4', '78-4=74']
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Exploring Operation: 24*74=1776, Resulting Numbers: [1776]
1776,72 unequal: No Solution
Exploring Operation: 24+74=98, Resulting Numbers: [98]
98,72 unequal: No Solution
Moving to Node #0,0,4
Current State: 72:[78, 6], Operations: ['92-88=4', '24/4=6']
Exploring Operation: 78*6=468, Resulting Numbers: [468]
468,72 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[24, 92, 88, 78], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [24, 78, 4]
Generated Node #0,0: 72:[24, 78, 4] Operation: 92-88=4
Moving to Node #0,0
Current State: 72:[24, 78, 4], Operations: ['92-88=4']
Exploring Operation: 24/4=6, Resulting Numbers: [78, 6]
Generated Node #0,0,4: 72:[78, 6] Operation: 24/4=6
Moving to Node #0,0,4
Current State: 72:[78, 6], Operations: ['92-88=4', '24/4=6']
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
80,
31,
23,
25
] | 15 | [
"31-23=8",
"80/8=10",
"25-10=15"
] | Current State: 15:[80, 31, 23, 25], Operations: []
Exploring Operation: 31-23=8, Resulting Numbers: [80, 25, 8]
Generated Node #2: [80, 25, 8] from Operation: 31-23=8
Current State: 15:[80, 25, 8], Operations: ['31-23=8']
Exploring Operation: 80/8=10, Resulting Numbers: [25, 10]
Generated Node #3: [25, 10] from Operation: 80/8=10
Current State: 15:[25, 10], Operations: ['31-23=8', '80/8=10']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[80, 31, 23, 25], Operations: []
Exploring Operation: 80-23=57, Resulting Numbers: [31, 25, 57]
Generated Node #0,0: 15:[31, 25, 57] Operation: 80-23=57
Exploring Operation: 80-31=49, Resulting Numbers: [23, 25, 49]
Generated Node #0,1: 15:[23, 25, 49] Operation: 80-31=49
Exploring Operation: 80-25=55, Resulting Numbers: [31, 23, 55]
Generated Node #0,2: 15:[31, 23, 55] Operation: 80-25=55
Moving to Node #0,1
Current State: 15:[23, 25, 49], Operations: ['80-31=49']
Exploring Operation: 25-23=2, Resulting Numbers: [49, 2]
Generated Node #0,1,0: 15:[49, 2] Operation: 25-23=2
Exploring Operation: 49-25=24, Resulting Numbers: [23, 24]
Generated Node #0,1,1: 15:[23, 24] Operation: 49-25=24
Exploring Operation: 49-23=26, Resulting Numbers: [25, 26]
Generated Node #0,1,2: 15:[25, 26] Operation: 49-23=26
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[23, 24], Operations: ['80-31=49', '49-25=24']
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,15 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,15 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[25, 26], Operations: ['80-31=49', '49-23=26']
Exploring Operation: 25+26=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 25*26=650, Resulting Numbers: [650]
650,15 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[49, 2], Operations: ['80-31=49', '25-23=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,15 unequal: No Solution
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,15 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: 15:[31, 23, 55], Operations: ['80-25=55']
Exploring Operation: 55-23=32, Resulting Numbers: [31, 32]
Generated Node #0,2,0: 15:[31, 32] Operation: 55-23=32
Exploring Operation: 55-31=24, Resulting Numbers: [23, 24]
Generated Node #0,2,1: 15:[23, 24] Operation: 55-31=24
Exploring Operation: 31-23=8, Resulting Numbers: [55, 8]
Generated Node #0,2,2: 15:[55, 8] Operation: 31-23=8
Moving to Node #0,0
Current State: 15:[31, 25, 57], Operations: ['80-23=57']
Exploring Operation: 31-25=6, Resulting Numbers: [57, 6]
Generated Node #0,0,0: 15:[57, 6] Operation: 31-25=6
Exploring Operation: 57-31=26, Resulting Numbers: [25, 26]
Generated Node #0,0,1: 15:[25, 26] Operation: 57-31=26
Exploring Operation: 57-25=32, Resulting Numbers: [31, 32]
Generated Node #0,0,2: 15:[31, 32] Operation: 57-25=32
Moving to Node #0,2,1
Current State: 15:[23, 24], Operations: ['80-25=55', '55-31=24']
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,15 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[25, 26], Operations: ['80-23=57', '57-31=26']
Exploring Operation: 25+26=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 25*26=650, Resulting Numbers: [650]
650,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[31, 32], Operations: ['80-23=57', '57-25=32']
Exploring Operation: 31*32=992, Resulting Numbers: [992]
992,15 unequal: No Solution
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[31, 32], Operations: ['80-25=55', '55-23=32']
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 31*32=992, Resulting Numbers: [992]
992,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[57, 6], Operations: ['80-23=57', '31-25=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,15 unequal: No Solution
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[55, 8], Operations: ['80-25=55', '31-23=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,15 unequal: No Solution
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 55*8=440, Resulting Numbers: [440]
440,15 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
24,
22,
22,
34
] | 23 | [
"24-22=2",
"22/2=11",
"34-11=23"
] | Current State: 23:[24, 22, 22, 34], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [34, 2]
Generated Node #2: [34, 2] from Operation: 24-22=2
Current State: 23:[34, 2], Operations: ['24-22=2']
Exploring Operation: 22/2=11, Resulting Numbers: [34, 11]
Generated Node #3: [34, 11] from Operation: 22/2=11
Current State: 23:[34, 11], Operations: ['24-22=2', '22/2=11']
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[24, 22, 22, 34], Operations: []
Exploring Operation: 34-22=12, Resulting Numbers: [24, 22, 12]
Generated Node #0,0: 23:[24, 22, 12] Operation: 34-22=12
Moving to Node #0,0
Current State: 23:[24, 22, 12], Operations: ['34-22=12']
Exploring Operation: 24-12=12, Resulting Numbers: [22, 12]
Generated Node #0,0,0: 23:[22, 12] Operation: 24-12=12
Moving to Node #0,0,0
Current State: 23:[22, 12], Operations: ['34-22=12', '24-12=12']
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,23 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
72,
66,
33,
13
] | 23 | [
"72*33=2376",
"2376/66=36",
"36-13=23"
] | Current State: 23:[72, 66, 33, 13], Operations: []
Exploring Operation: 72*33=2376, Resulting Numbers: [66, 13, 2376]
Generated Node #2: [66, 13, 2376] from Operation: 72*33=2376
Current State: 23:[66, 13, 2376], Operations: ['72*33=2376']
Exploring Operation: 2376/66=36, Resulting Numbers: [13, 36]
Generated Node #3: [13, 36] from Operation: 2376/66=36
Current State: 23:[13, 36], Operations: ['72*33=2376', '2376/66=36']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[72, 66, 33, 13], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [72, 13, 2]
Generated Node #0,0: 23:[72, 13, 2] Operation: 66/33=2
Exploring Operation: 72-33=39, Resulting Numbers: [66, 13, 39]
Generated Node #0,1: 23:[66, 13, 39] Operation: 72-33=39
Exploring Operation: 66-33=33, Resulting Numbers: [72, 13, 33]
Generated Node #0,2: 23:[72, 13, 33] Operation: 66-33=33
Exploring Operation: 72-66=6, Resulting Numbers: [33, 13, 6]
Generated Node #0,3: 23:[33, 13, 6] Operation: 72-66=6
Moving to Node #0,3
Current State: 23:[33, 13, 6], Operations: ['72-66=6']
Exploring Operation: 33+6=39, Resulting Numbers: [13, 39]
Generated Node #0,3,0: 23:[13, 39] Operation: 33+6=39
Exploring Operation: 33-13=20, Resulting Numbers: [6, 20]
Generated Node #0,3,1: 23:[6, 20] Operation: 33-13=20
Exploring Operation: 33-6=27, Resulting Numbers: [13, 27]
Generated Node #0,3,2: 23:[13, 27] Operation: 33-6=27
Exploring Operation: 13+6=19, Resulting Numbers: [33, 19]
Generated Node #0,3,3: 23:[33, 19] Operation: 13+6=19
Moving to Node #0,2
Current State: 23:[72, 13, 33], Operations: ['66-33=33']
Exploring Operation: 72+13=85, Resulting Numbers: [33, 85]
Generated Node #0,2,0: 23:[33, 85] Operation: 72+13=85
Exploring Operation: 33-13=20, Resulting Numbers: [72, 20]
Generated Node #0,2,1: 23:[72, 20] Operation: 33-13=20
Exploring Operation: 72-13=59, Resulting Numbers: [33, 59]
Generated Node #0,2,2: 23:[33, 59] Operation: 72-13=59
Exploring Operation: 72-33=39, Resulting Numbers: [13, 39]
Generated Node #0,2,3: 23:[13, 39] Operation: 72-33=39
Moving to Node #0,1
Current State: 23:[66, 13, 39], Operations: ['72-33=39']
Exploring Operation: 66-39=27, Resulting Numbers: [13, 27]
Generated Node #0,1,0: 23:[13, 27] Operation: 66-39=27
Exploring Operation: 39-13=26, Resulting Numbers: [66, 26]
Generated Node #0,1,1: 23:[66, 26] Operation: 39-13=26
Exploring Operation: 39/13=3, Resulting Numbers: [66, 3]
Generated Node #0,1,2: 23:[66, 3] Operation: 39/13=3
Exploring Operation: 66-13=53, Resulting Numbers: [39, 53]
Generated Node #0,1,3: 23:[39, 53] Operation: 66-13=53
Moving to Node #0,0
Current State: 23:[72, 13, 2], Operations: ['66/33=2']
Exploring Operation: 13*2=26, Resulting Numbers: [72, 26]
Generated Node #0,0,0: 23:[72, 26] Operation: 13*2=26
Exploring Operation: 72-2=70, Resulting Numbers: [13, 70]
Generated Node #0,0,1: 23:[13, 70] Operation: 72-2=70
Exploring Operation: 72-13=59, Resulting Numbers: [2, 59]
Generated Node #0,0,2: 23:[2, 59] Operation: 72-13=59
Exploring Operation: 72/2=36, Resulting Numbers: [13, 36]
Generated Node #0,0,3: 23:[13, 36] Operation: 72/2=36
Moving to Node #0,3,2
Current State: 23:[13, 27], Operations: ['72-66=6', '33-6=27']
Exploring Operation: 13*27=351, Resulting Numbers: [351]
351,23 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,23 unequal: No Solution
Moving to Node #0,3,3
Current State: 23:[33, 19], Operations: ['72-66=6', '13+6=19']
Exploring Operation: 33+19=52, Resulting Numbers: [52]
52,23 unequal: No Solution
Exploring Operation: 33*19=627, Resulting Numbers: [627]
627,23 unequal: No Solution
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[13, 27], Operations: ['72-33=39', '66-39=27']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Exploring Operation: 13*27=351, Resulting Numbers: [351]
351,23 unequal: No Solution
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,23 unequal: No Solution
Moving to Node #0,3,1
Current State: 23:[6, 20], Operations: ['72-66=6', '33-13=20']
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,23 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[13, 36], Operations: ['66/33=2', '72/2=36']
Exploring Operation: 13*36=468, Resulting Numbers: [468]
468,23 unequal: No Solution
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[72, 66, 33, 13], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [72, 13, 2]
Generated Node #0,0: 23:[72, 13, 2] Operation: 66/33=2
Moving to Node #0,0
Current State: 23:[72, 13, 2], Operations: ['66/33=2']
Exploring Operation: 72/2=36, Resulting Numbers: [13, 36]
Generated Node #0,0,3: 23:[13, 36] Operation: 72/2=36
Moving to Node #0,0,3
Current State: 23:[13, 36], Operations: ['66/33=2', '72/2=36']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 0.966146 | hs_4 | mult_heuristic |
[
46,
2,
75,
91
] | 76 | [
"46*2=92",
"91-75=16",
"92-16=76"
] | Current State: 76:[46, 2, 75, 91], Operations: []
Exploring Operation: 46*2=92, Resulting Numbers: [75, 91, 92]
Generated Node #2: [75, 91, 92] from Operation: 46*2=92
Current State: 76:[75, 91, 92], Operations: ['46*2=92']
Exploring Operation: 91-75=16, Resulting Numbers: [92, 16]
Generated Node #3: [92, 16] from Operation: 91-75=16
Current State: 76:[92, 16], Operations: ['46*2=92', '91-75=16']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[46, 2, 75, 91], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [46, 2, 16]
Generated Node #0,0: 76:[46, 2, 16] Operation: 91-75=16
Exploring Operation: 91-46=45, Resulting Numbers: [2, 75, 45]
Generated Node #0,1: 76:[2, 75, 45] Operation: 91-46=45
Moving to Node #0,1
Current State: 76:[2, 75, 45], Operations: ['91-46=45']
Exploring Operation: 45-2=43, Resulting Numbers: [75, 43]
Generated Node #0,1,0: 76:[75, 43] Operation: 45-2=43
Exploring Operation: 2+75=77, Resulting Numbers: [45, 77]
Generated Node #0,1,1: 76:[45, 77] Operation: 2+75=77
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[75, 43], Operations: ['91-46=45', '45-2=43']
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,76 unequal: No Solution
Exploring Operation: 75+43=118, Resulting Numbers: [118]
118,76 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, 77], Operations: ['91-46=45', '2+75=77']
Exploring Operation: 77-45=32, Resulting Numbers: [32]
32,76 unequal: No Solution
Exploring Operation: 45+77=122, Resulting Numbers: [122]
122,76 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:[46, 2, 16], Operations: ['91-75=16']
Exploring Operation: 46/2=23, Resulting Numbers: [16, 23]
Generated Node #0,0,0: 76:[16, 23] Operation: 46/2=23
Exploring Operation: 46-16=30, Resulting Numbers: [2, 30]
Generated Node #0,0,1: 76:[2, 30] Operation: 46-16=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[16, 23], Operations: ['91-75=16', '46/2=23']
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[2, 30], Operations: ['91-75=16', '46-16=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,76 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 |
[
65,
29,
33,
86
] | 89 | [
"65-29=36",
"86-33=53",
"36+53=89"
] | Current State: 89:[65, 29, 33, 86], Operations: []
Exploring Operation: 65-29=36, Resulting Numbers: [33, 86, 36]
Generated Node #2: [33, 86, 36] from Operation: 65-29=36
Current State: 89:[33, 86, 36], Operations: ['65-29=36']
Exploring Operation: 86-33=53, Resulting Numbers: [36, 53]
Generated Node #3: [36, 53] from Operation: 86-33=53
Current State: 89:[36, 53], Operations: ['65-29=36', '86-33=53']
Exploring Operation: 36+53=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[65, 29, 33, 86], Operations: []
Exploring Operation: 29+33=62, Resulting Numbers: [65, 86, 62]
Generated Node #0,0: 89:[65, 86, 62] Operation: 29+33=62
Exploring Operation: 65+29=94, Resulting Numbers: [33, 86, 94]
Generated Node #0,1: 89:[33, 86, 94] Operation: 65+29=94
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[65, 86, 62], Operations: ['29+33=62']
Exploring Operation: 86+62=148, Resulting Numbers: [65, 148]
Generated Node #0,0,0: 89:[65, 148] Operation: 86+62=148
Exploring Operation: 65+62=127, Resulting Numbers: [86, 127]
Generated Node #0,0,1: 89:[86, 127] Operation: 65+62=127
Moving to Node #0,0,1
Current State: 89:[86, 127], Operations: ['29+33=62', '65+62=127']
Exploring Operation: 86+127=213, Resulting Numbers: [213]
213,89 unequal: No Solution
Exploring Operation: 127-86=41, Resulting Numbers: [41]
41,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[65, 148], Operations: ['29+33=62', '86+62=148']
Exploring Operation: 65+148=213, Resulting Numbers: [213]
213,89 unequal: No Solution
Exploring Operation: 148-65=83, Resulting Numbers: [83]
83,89 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 #0,1
Current State: 89:[33, 86, 94], Operations: ['65+29=94']
Exploring Operation: 94-33=61, Resulting Numbers: [86, 61]
Generated Node #0,1,0: 89:[86, 61] Operation: 94-33=61
Exploring Operation: 33+86=119, Resulting Numbers: [94, 119]
Generated Node #0,1,1: 89:[94, 119] Operation: 33+86=119
Moving to Node #0,1,0
Current State: 89:[86, 61], Operations: ['65+29=94', '94-33=61']
Exploring Operation: 86+61=147, Resulting Numbers: [147]
147,89 unequal: No Solution
Exploring Operation: 86-61=25, Resulting Numbers: [25]
25,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[94, 119], Operations: ['65+29=94', '33+86=119']
Exploring Operation: 94+119=213, Resulting Numbers: [213]
213,89 unequal: No Solution
Exploring Operation: 119-94=25, Resulting Numbers: [25]
25,89 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 |
[
12,
88,
42,
69
] | 18 | [
"12*69=828",
"88-42=46",
"828/46=18"
] | Current State: 18:[12, 88, 42, 69], Operations: []
Exploring Operation: 12*69=828, Resulting Numbers: [88, 42, 828]
Generated Node #2: [88, 42, 828] from Operation: 12*69=828
Current State: 18:[88, 42, 828], Operations: ['12*69=828']
Exploring Operation: 88-42=46, Resulting Numbers: [828, 46]
Generated Node #3: [828, 46] from Operation: 88-42=46
Current State: 18:[828, 46], Operations: ['12*69=828', '88-42=46']
Exploring Operation: 828/46=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[12, 88, 42, 69], Operations: []
Exploring Operation: 69-42=27, Resulting Numbers: [12, 88, 27]
Generated Node #0,0: 18:[12, 88, 27] Operation: 69-42=27
Exploring Operation: 88-42=46, Resulting Numbers: [12, 69, 46]
Generated Node #0,1: 18:[12, 69, 46] Operation: 88-42=46
Exploring Operation: 88-69=19, Resulting Numbers: [12, 42, 19]
Generated Node #0,2: 18:[12, 42, 19] Operation: 88-69=19
Exploring Operation: 88-12=76, Resulting Numbers: [42, 69, 76]
Generated Node #0,3: 18:[42, 69, 76] Operation: 88-12=76
Moving to Node #0,2
Current State: 18:[12, 42, 19], Operations: ['88-69=19']
Exploring Operation: 42-12=30, Resulting Numbers: [19, 30]
Generated Node #0,2,0: 18:[19, 30] Operation: 42-12=30
Exploring Operation: 12+42=54, Resulting Numbers: [19, 54]
Generated Node #0,2,1: 18:[19, 54] Operation: 12+42=54
Exploring Operation: 19-12=7, Resulting Numbers: [42, 7]
Generated Node #0,2,2: 18:[42, 7] Operation: 19-12=7
Exploring Operation: 42-19=23, Resulting Numbers: [12, 23]
Generated Node #0,2,3: 18:[12, 23] Operation: 42-19=23
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 18:[12, 23], Operations: ['88-69=19', '42-19=23']
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,18 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,18 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 #0,2,0
Current State: 18:[19, 30], Operations: ['88-69=19', '42-12=30']
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,18 unequal: No Solution
Exploring Operation: 19*30=570, Resulting Numbers: [570]
570,18 unequal: No Solution
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,18 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 #0,2,2
Current State: 18:[42, 7], Operations: ['88-69=19', '19-12=7']
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,18 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 42*7=294, Resulting Numbers: [294]
294,18 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,18 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 #0,2,1
Current State: 18:[19, 54], Operations: ['88-69=19', '12+42=54']
Exploring Operation: 19*54=1026, Resulting Numbers: [1026]
1026,18 unequal: No Solution
Exploring Operation: 19+54=73, Resulting Numbers: [73]
73,18 unequal: No Solution
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,18 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: 18:[12, 69, 46], Operations: ['88-42=46']
Exploring Operation: 46-12=34, Resulting Numbers: [69, 34]
Generated Node #0,1,0: 18:[69, 34] Operation: 46-12=34
Exploring Operation: 12+69=81, Resulting Numbers: [46, 81]
Generated Node #0,1,1: 18:[46, 81] Operation: 12+69=81
Exploring Operation: 69-46=23, Resulting Numbers: [12, 23]
Generated Node #0,1,2: 18:[12, 23] Operation: 69-46=23
Exploring Operation: 69-12=57, Resulting Numbers: [46, 57]
Generated Node #0,1,3: 18:[46, 57] Operation: 69-12=57
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 18:[12, 23], Operations: ['88-42=46', '69-46=23']
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,18 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[69, 34], Operations: ['88-42=46', '46-12=34']
Exploring Operation: 69+34=103, Resulting Numbers: [103]
103,18 unequal: No Solution
Exploring Operation: 69*34=2346, Resulting Numbers: [2346]
2346,18 unequal: No Solution
Exploring Operation: 69-34=35, Resulting Numbers: [35]
35,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 18:[46, 57], Operations: ['88-42=46', '69-12=57']
Exploring Operation: 46+57=103, Resulting Numbers: [103]
103,18 unequal: No Solution
Exploring Operation: 46*57=2622, Resulting Numbers: [2622]
2622,18 unequal: No Solution
Exploring Operation: 57-46=11, Resulting Numbers: [11]
11,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[46, 81], Operations: ['88-42=46', '12+69=81']
Exploring Operation: 46*81=3726, Resulting Numbers: [3726]
3726,18 unequal: No Solution
Exploring Operation: 81-46=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 46+81=127, Resulting Numbers: [127]
127,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 18:[12, 88, 27], Operations: ['69-42=27']
Exploring Operation: 88-27=61, Resulting Numbers: [12, 61]
Generated Node #0,0,0: 18:[12, 61] Operation: 88-27=61
Exploring Operation: 27-12=15, Resulting Numbers: [88, 15]
Generated Node #0,0,1: 18:[88, 15] Operation: 27-12=15
Exploring Operation: 88-12=76, Resulting Numbers: [27, 76]
Generated Node #0,0,2: 18:[27, 76] Operation: 88-12=76
Exploring Operation: 12+88=100, Resulting Numbers: [27, 100]
Generated Node #0,0,3: 18:[27, 100] Operation: 12+88=100
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[12, 61], Operations: ['69-42=27', '88-27=61']
Exploring Operation: 12*61=732, Resulting Numbers: [732]
732,18 unequal: No Solution
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,18 unequal: No Solution
Exploring Operation: 12+61=73, Resulting Numbers: [73]
73,18 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 #0,0,2
Current State: 18:[27, 76], Operations: ['69-42=27', '88-12=76']
Exploring Operation: 27+76=103, Resulting Numbers: [103]
103,18 unequal: No Solution
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,18 unequal: No Solution
Exploring Operation: 27*76=2052, Resulting Numbers: [2052]
2052,18 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:[88, 15], Operations: ['69-42=27', '27-12=15']
Exploring Operation: 88+15=103, Resulting Numbers: [103]
103,18 unequal: No Solution
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,18 unequal: No Solution
Exploring Operation: 88*15=1320, Resulting Numbers: [1320]
1320,18 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 #0,0,3
Current State: 18:[27, 100], Operations: ['69-42=27', '12+88=100']
Exploring Operation: 27*100=2700, Resulting Numbers: [2700]
2700,18 unequal: No Solution
Exploring Operation: 100-27=73, Resulting Numbers: [73]
73,18 unequal: No Solution
Exploring Operation: 27+100=127, Resulting Numbers: [127]
127,18 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: 18:[42, 69, 76], Operations: ['88-12=76']
Exploring Operation: 76-42=34, Resulting Numbers: [69, 34]
Generated Node #0,3,0: 18:[69, 34] Operation: 76-42=34
Exploring Operation: 69-42=27, Resulting Numbers: [76, 27]
Generated Node #0,3,1: 18:[76, 27] Operation: 69-42=27
Exploring Operation: 76-69=7, Resulting Numbers: [42, 7]
Generated Node #0,3,2: 18:[42, 7] Operation: 76-69=7
Exploring Operation: 42+69=111, Resulting Numbers: [76, 111]
Generated Node #0,3,3: 18:[76, 111] Operation: 42+69=111
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 18:[42, 7], Operations: ['88-12=76', '76-69=7']
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 42*7=294, Resulting Numbers: [294]
294,18 unequal: No Solution
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,18 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,18 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 #0,3,0
Current State: 18:[69, 34], Operations: ['88-12=76', '76-42=34']
Exploring Operation: 69+34=103, Resulting Numbers: [103]
103,18 unequal: No Solution
Exploring Operation: 69*34=2346, Resulting Numbers: [2346]
2346,18 unequal: No Solution
Exploring Operation: 69-34=35, Resulting Numbers: [35]
35,18 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 #0,3,1
Current State: 18:[76, 27], Operations: ['88-12=76', '69-42=27']
Exploring Operation: 76+27=103, Resulting Numbers: [103]
103,18 unequal: No Solution
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,18 unequal: No Solution
Exploring Operation: 76*27=2052, Resulting Numbers: [2052]
2052,18 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 #0,3,3
Current State: 18:[76, 111], Operations: ['88-12=76', '42+69=111']
Exploring Operation: 76*111=8436, Resulting Numbers: [8436]
8436,18 unequal: No Solution
Exploring Operation: 76+111=187, Resulting Numbers: [187]
187,18 unequal: No Solution
Exploring Operation: 111-76=35, Resulting Numbers: [35]
35,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
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