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 |
|---|---|---|---|---|---|---|---|---|
[
45,
26,
50,
72
] | 51 | [
"45+26=71",
"50+72=122",
"122-71=51"
] | Current State: 51:[45, 26, 50, 72], Operations: []
Exploring Operation: 45+26=71, Resulting Numbers: [50, 72, 71]
Generated Node #2: [50, 72, 71] from Operation: 45+26=71
Current State: 51:[50, 72, 71], Operations: ['45+26=71']
Exploring Operation: 50+72=122, Resulting Numbers: [71, 122]
Generated Node #3: [71, 122] from Operation: 50+72=122
Current State: 51:[71, 122], Operations: ['45+26=71', '50+72=122']
Exploring Operation: 122-71=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[45, 26, 50, 72], Operations: []
Exploring Operation: 72-45=27, Resulting Numbers: [26, 50, 27]
Generated Node #0,0: 51:[26, 50, 27] Operation: 72-45=27
Exploring Operation: 72-50=22, Resulting Numbers: [45, 26, 22]
Generated Node #0,1: 51:[45, 26, 22] Operation: 72-50=22
Exploring Operation: 45-26=19, Resulting Numbers: [50, 72, 19]
Generated Node #0,2: 51:[50, 72, 19] Operation: 45-26=19
Exploring Operation: 50-45=5, Resulting Numbers: [26, 72, 5]
Generated Node #0,3: 51:[26, 72, 5] Operation: 50-45=5
Exploring Operation: 72-26=46, Resulting Numbers: [45, 50, 46]
Generated Node #0,4: 51:[45, 50, 46] Operation: 72-26=46
Start Sub Search at level 1: Moving to Node #0,4
Current State: 51:[45, 50, 46], Operations: ['72-26=46']
Exploring Operation: 45+46=91, Resulting Numbers: [50, 91]
Generated Node #0,4,0: 51:[50, 91] Operation: 45+46=91
Exploring Operation: 50-46=4, Resulting Numbers: [45, 4]
Generated Node #0,4,1: 51:[45, 4] Operation: 50-46=4
Exploring Operation: 46-45=1, Resulting Numbers: [50, 1]
Generated Node #0,4,2: 51:[50, 1] Operation: 46-45=1
Exploring Operation: 45+50=95, Resulting Numbers: [46, 95]
Generated Node #0,4,3: 51:[46, 95] Operation: 45+50=95
Exploring Operation: 50-45=5, Resulting Numbers: [46, 5]
Generated Node #0,4,4: 51:[46, 5] Operation: 50-45=5
Moving to Node #0,4,2
Current State: 51:[50, 1], Operations: ['72-26=46', '46-45=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[45, 26, 50, 72], Operations: []
Exploring Operation: 72-26=46, Resulting Numbers: [45, 50, 46]
Generated Node #0,4: 51:[45, 50, 46] Operation: 72-26=46
Moving to Node #0,4
Current State: 51:[45, 50, 46], Operations: ['72-26=46']
Exploring Operation: 46-45=1, Resulting Numbers: [50, 1]
Generated Node #0,4,2: 51:[50, 1] Operation: 46-45=1
Moving to Node #0,4,2
Current State: 51:[50, 1], Operations: ['72-26=46', '46-45=1']
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
21,
66,
92,
66
] | 70 | [
"92-21=71",
"66/66=1",
"71-1=70"
] | Current State: 70:[21, 66, 92, 66], Operations: []
Exploring Operation: 92-21=71, Resulting Numbers: [66, 66, 71]
Generated Node #2: [66, 66, 71] from Operation: 92-21=71
Current State: 70:[66, 66, 71], Operations: ['92-21=71']
Exploring Operation: 66/66=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 66/66=1
Current State: 70:[71, 1], Operations: ['92-21=71', '66/66=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[21, 66, 92, 66], Operations: []
Exploring Operation: 92-21=71, Resulting Numbers: [66, 66, 71]
Generated Node #0,0: 70:[66, 66, 71] Operation: 92-21=71
Exploring Operation: 92-66=26, Resulting Numbers: [21, 66, 26]
Generated Node #0,1: 70:[21, 66, 26] Operation: 92-66=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[66, 66, 71], Operations: ['92-21=71']
Exploring Operation: 66-66=0, Resulting Numbers: [71, 0]
Generated Node #0,0,0: 70:[71, 0] Operation: 66-66=0
Exploring Operation: 66/66=1, Resulting Numbers: [71, 1]
Generated Node #0,0,1: 70:[71, 1] Operation: 66/66=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 70:[71, 1], Operations: ['92-21=71', '66/66=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[21, 66, 92, 66], Operations: []
Exploring Operation: 92-21=71, Resulting Numbers: [66, 66, 71]
Generated Node #0,0: 70:[66, 66, 71] Operation: 92-21=71
Moving to Node #0,0
Current State: 70:[66, 66, 71], Operations: ['92-21=71']
Exploring Operation: 66/66=1, Resulting Numbers: [71, 1]
Generated Node #0,0,1: 70:[71, 1] Operation: 66/66=1
Moving to Node #0,0,1
Current State: 70:[71, 1], Operations: ['92-21=71', '66/66=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
29,
32,
88,
24
] | 67 | [
"32-29=3",
"88-24=64",
"3+64=67"
] | Current State: 67:[29, 32, 88, 24], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [88, 24, 3]
Generated Node #2: [88, 24, 3] from Operation: 32-29=3
Current State: 67:[88, 24, 3], Operations: ['32-29=3']
Exploring Operation: 88-24=64, Resulting Numbers: [3, 64]
Generated Node #3: [3, 64] from Operation: 88-24=64
Current State: 67:[3, 64], Operations: ['32-29=3', '88-24=64']
Exploring Operation: 3+64=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[29, 32, 88, 24], Operations: []
Exploring Operation: 88-24=64, Resulting Numbers: [29, 32, 64]
Generated Node #0,0: 67:[29, 32, 64] Operation: 88-24=64
Exploring Operation: 29+24=53, Resulting Numbers: [32, 88, 53]
Generated Node #0,1: 67:[32, 88, 53] Operation: 29+24=53
Exploring Operation: 32+24=56, Resulting Numbers: [29, 88, 56]
Generated Node #0,2: 67:[29, 88, 56] Operation: 32+24=56
Exploring Operation: 29+32=61, Resulting Numbers: [88, 24, 61]
Generated Node #0,3: 67:[88, 24, 61] Operation: 29+32=61
Exploring Operation: 88-29=59, Resulting Numbers: [32, 24, 59]
Generated Node #0,4: 67:[32, 24, 59] Operation: 88-29=59
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[32, 88, 53], Operations: ['29+24=53']
Exploring Operation: 32+53=85, Resulting Numbers: [88, 85]
Generated Node #0,1,0: 67:[88, 85] Operation: 32+53=85
Exploring Operation: 32+88=120, Resulting Numbers: [53, 120]
Generated Node #0,1,1: 67:[53, 120] Operation: 32+88=120
Exploring Operation: 88-32=56, Resulting Numbers: [53, 56]
Generated Node #0,1,2: 67:[53, 56] Operation: 88-32=56
Exploring Operation: 53-32=21, Resulting Numbers: [88, 21]
Generated Node #0,1,3: 67:[88, 21] Operation: 53-32=21
Exploring Operation: 88-53=35, Resulting Numbers: [32, 35]
Generated Node #0,1,4: 67:[32, 35] Operation: 88-53=35
Moving to Node #0,1,2
Current State: 67:[53, 56], Operations: ['29+24=53', '88-32=56']
Exploring Operation: 53*56=2968, Resulting Numbers: [2968]
2968,67 unequal: No Solution
Exploring Operation: 56-53=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 53+56=109, Resulting Numbers: [109]
109,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[88, 85], Operations: ['29+24=53', '32+53=85']
Exploring Operation: 88-85=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 88*85=7480, Resulting Numbers: [7480]
7480,67 unequal: No Solution
Exploring Operation: 88+85=173, Resulting Numbers: [173]
173,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[53, 120], Operations: ['29+24=53', '32+88=120']
Exploring Operation: 53+120=173, Resulting Numbers: [173]
173,67 unequal: No Solution
Exploring Operation: 120-53=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[29, 32, 88, 24], Operations: []
Exploring Operation: 29+24=53, Resulting Numbers: [32, 88, 53]
Generated Node #0,1: 67:[32, 88, 53] Operation: 29+24=53
Moving to Node #0,1
Current State: 67:[32, 88, 53], Operations: ['29+24=53']
Exploring Operation: 32+88=120, Resulting Numbers: [53, 120]
Generated Node #0,1,1: 67:[53, 120] Operation: 32+88=120
Moving to Node #0,1,1
Current State: 67:[53, 120], Operations: ['29+24=53', '32+88=120']
Exploring Operation: 120-53=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
18,
27,
3,
60
] | 100 | [
"27+3=30",
"60*30=1800",
"1800/18=100"
] | Current State: 100:[18, 27, 3, 60], Operations: []
Exploring Operation: 27+3=30, Resulting Numbers: [18, 60, 30]
Generated Node #2: [18, 60, 30] from Operation: 27+3=30
Current State: 100:[18, 60, 30], Operations: ['27+3=30']
Exploring Operation: 60*30=1800, Resulting Numbers: [18, 1800]
Generated Node #3: [18, 1800] from Operation: 60*30=1800
Current State: 100:[18, 1800], Operations: ['27+3=30', '60*30=1800']
Exploring Operation: 1800/18=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[18, 27, 3, 60], Operations: []
Exploring Operation: 60-3=57, Resulting Numbers: [18, 27, 57]
Generated Node #0,0: 100:[18, 27, 57] Operation: 60-3=57
Exploring Operation: 60-27=33, Resulting Numbers: [18, 3, 33]
Generated Node #0,1: 100:[18, 3, 33] Operation: 60-27=33
Exploring Operation: 60/3=20, Resulting Numbers: [18, 27, 20]
Generated Node #0,2: 100:[18, 27, 20] Operation: 60/3=20
Exploring Operation: 60-18=42, Resulting Numbers: [27, 3, 42]
Generated Node #0,3: 100:[27, 3, 42] Operation: 60-18=42
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[18, 27, 20], Operations: ['60/3=20']
Exploring Operation: 20-18=2, Resulting Numbers: [27, 2]
Generated Node #0,2,0: 100:[27, 2] Operation: 20-18=2
Exploring Operation: 27-20=7, Resulting Numbers: [18, 7]
Generated Node #0,2,1: 100:[18, 7] Operation: 27-20=7
Exploring Operation: 27-18=9, Resulting Numbers: [20, 9]
Generated Node #0,2,2: 100:[20, 9] Operation: 27-18=9
Exploring Operation: 18+27=45, Resulting Numbers: [20, 45]
Generated Node #0,2,3: 100:[20, 45] Operation: 18+27=45
Moving to Node #0,2,2
Current State: 100:[20, 9], Operations: ['60/3=20', '27-18=9']
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,100 unequal: No Solution
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,100 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[27, 2], Operations: ['60/3=20', '20-18=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,100 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Moving to Node #0,2,1
Current State: 100:[18, 7], Operations: ['60/3=20', '27-20=7']
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,100 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Moving to Node #0,2,3
Current State: 100:[20, 45], Operations: ['60/3=20', '18+27=45']
Exploring Operation: 20*45=900, Resulting Numbers: [900]
900,100 unequal: No Solution
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 20+45=65, Resulting Numbers: [65]
65,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[18, 27, 57], Operations: ['60-3=57']
Exploring Operation: 57-27=30, Resulting Numbers: [18, 30]
Generated Node #0,0,0: 100:[18, 30] Operation: 57-27=30
Exploring Operation: 18+27=45, Resulting Numbers: [57, 45]
Generated Node #0,0,1: 100:[57, 45] Operation: 18+27=45
Exploring Operation: 57-18=39, Resulting Numbers: [27, 39]
Generated Node #0,0,2: 100:[27, 39] Operation: 57-18=39
Exploring Operation: 27-18=9, Resulting Numbers: [57, 9]
Generated Node #0,0,3: 100:[57, 9] Operation: 27-18=9
Moving to Node #0,0,0
Current State: 100:[18, 30], Operations: ['60-3=57', '57-27=30']
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,100 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[57, 9], Operations: ['60-3=57', '27-18=9']
Exploring Operation: 57*9=513, Resulting Numbers: [513]
513,100 unequal: No Solution
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,100 unequal: No Solution
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[57, 45], Operations: ['60-3=57', '18+27=45']
Exploring Operation: 57*45=2565, Resulting Numbers: [2565]
2565,100 unequal: No Solution
Exploring Operation: 57-45=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 57+45=102, Resulting Numbers: [102]
102,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[27, 39], Operations: ['60-3=57', '57-18=39']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,100 unequal: No Solution
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,100 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:[18, 3, 33], Operations: ['60-27=33']
Exploring Operation: 33-18=15, Resulting Numbers: [3, 15]
Generated Node #0,1,0: 100:[3, 15] Operation: 33-18=15
Exploring Operation: 3*33=99, Resulting Numbers: [18, 99]
Generated Node #0,1,1: 100:[18, 99] Operation: 3*33=99
Exploring Operation: 33/3=11, Resulting Numbers: [18, 11]
Generated Node #0,1,2: 100:[18, 11] Operation: 33/3=11
Exploring Operation: 18+33=51, Resulting Numbers: [3, 51]
Generated Node #0,1,3: 100:[3, 51] Operation: 18+33=51
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 100:[3, 51], Operations: ['60-27=33', '18+33=51']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,100 unequal: No Solution
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 3*51=153, Resulting Numbers: [153]
153,100 unequal: No Solution
No 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: 100:[18, 99], Operations: ['60-27=33', '3*33=99']
Exploring Operation: 99-18=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Exploring Operation: 18+99=117, Resulting Numbers: [117]
117,100 unequal: No Solution
Exploring Operation: 18*99=1782, Resulting Numbers: [1782]
1782,100 unequal: No Solution
No 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: 100:[18, 11], Operations: ['60-27=33', '33/3=11']
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,100 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,100 unequal: No Solution
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,100 unequal: No Solution
No 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: 100:[3, 15], Operations: ['60-27=33', '33-18=15']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,100 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: 100:[27, 3, 42], Operations: ['60-18=42']
Exploring Operation: 3+42=45, Resulting Numbers: [27, 45]
Generated Node #0,3,0: 100:[27, 45] Operation: 3+42=45
Exploring Operation: 42-27=15, Resulting Numbers: [3, 15]
Generated Node #0,3,1: 100:[3, 15] Operation: 42-27=15
Exploring Operation: 27-3=24, Resulting Numbers: [42, 24]
Generated Node #0,3,2: 100:[42, 24] Operation: 27-3=24
Exploring Operation: 42/3=14, Resulting Numbers: [27, 14]
Generated Node #0,3,3: 100:[27, 14] Operation: 42/3=14
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 100:[3, 15], Operations: ['60-18=42', '42-27=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,100 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,100 unequal: No Solution
No 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: 100:[27, 14], Operations: ['60-18=42', '42/3=14']
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,100 unequal: No Solution
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,100 unequal: No Solution
No 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: 100:[27, 45], Operations: ['60-18=42', '3+42=45']
Exploring Operation: 27*45=1215, Resulting Numbers: [1215]
1215,100 unequal: No Solution
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 27+45=72, Resulting Numbers: [72]
72,100 unequal: No Solution
No 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: 100:[42, 24], Operations: ['60-18=42', '27-3=24']
Exploring Operation: 42*24=1008, Resulting Numbers: [1008]
1008,100 unequal: No Solution
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 42+24=66, Resulting Numbers: [66]
66,100 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 |
[
89,
54,
78,
3
] | 46 | [
"89-54=35",
"78+3=81",
"81-35=46"
] | Current State: 46:[89, 54, 78, 3], Operations: []
Exploring Operation: 89-54=35, Resulting Numbers: [78, 3, 35]
Generated Node #2: [78, 3, 35] from Operation: 89-54=35
Current State: 46:[78, 3, 35], Operations: ['89-54=35']
Exploring Operation: 78+3=81, Resulting Numbers: [35, 81]
Generated Node #3: [35, 81] from Operation: 78+3=81
Current State: 46:[35, 81], Operations: ['89-54=35', '78+3=81']
Exploring Operation: 81-35=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[89, 54, 78, 3], Operations: []
Exploring Operation: 89-54=35, Resulting Numbers: [78, 3, 35]
Generated Node #0,0: 46:[78, 3, 35] Operation: 89-54=35
Exploring Operation: 89-78=11, Resulting Numbers: [54, 3, 11]
Generated Node #0,1: 46:[54, 3, 11] Operation: 89-78=11
Moving to Node #0,1
Current State: 46:[54, 3, 11], Operations: ['89-78=11']
Exploring Operation: 54-3=51, Resulting Numbers: [11, 51]
Generated Node #0,1,0: 46:[11, 51] Operation: 54-3=51
Exploring Operation: 54-11=43, Resulting Numbers: [3, 43]
Generated Node #0,1,1: 46:[3, 43] Operation: 54-11=43
Moving to Node #0,0
Current State: 46:[78, 3, 35], Operations: ['89-54=35']
Exploring Operation: 78/3=26, Resulting Numbers: [35, 26]
Generated Node #0,0,0: 46:[35, 26] Operation: 78/3=26
Exploring Operation: 78-35=43, Resulting Numbers: [3, 43]
Generated Node #0,0,1: 46:[3, 43] Operation: 78-35=43
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 46:[3, 43], Operations: ['89-54=35', '78-35=43']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,46 unequal: No Solution
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[89, 54, 78, 3], Operations: []
Exploring Operation: 89-54=35, Resulting Numbers: [78, 3, 35]
Generated Node #0,0: 46:[78, 3, 35] Operation: 89-54=35
Moving to Node #0,0
Current State: 46:[78, 3, 35], Operations: ['89-54=35']
Exploring Operation: 78-35=43, Resulting Numbers: [3, 43]
Generated Node #0,0,1: 46:[3, 43] Operation: 78-35=43
Moving to Node #0,0,1
Current State: 46:[3, 43], Operations: ['89-54=35', '78-35=43']
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
14,
46,
77,
55
] | 82 | [
"14+46=60",
"77-55=22",
"60+22=82"
] | Current State: 82:[14, 46, 77, 55], Operations: []
Exploring Operation: 14+46=60, Resulting Numbers: [77, 55, 60]
Generated Node #2: [77, 55, 60] from Operation: 14+46=60
Current State: 82:[77, 55, 60], Operations: ['14+46=60']
Exploring Operation: 77-55=22, Resulting Numbers: [60, 22]
Generated Node #3: [60, 22] from Operation: 77-55=22
Current State: 82:[60, 22], Operations: ['14+46=60', '77-55=22']
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[14, 46, 77, 55], Operations: []
Exploring Operation: 14+55=69, Resulting Numbers: [46, 77, 69]
Generated Node #0,0: 82:[46, 77, 69] Operation: 14+55=69
Exploring Operation: 55-14=41, Resulting Numbers: [46, 77, 41]
Generated Node #0,1: 82:[46, 77, 41] Operation: 55-14=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[46, 77, 41], Operations: ['55-14=41']
Exploring Operation: 46-41=5, Resulting Numbers: [77, 5]
Generated Node #0,1,0: 82:[77, 5] Operation: 46-41=5
Exploring Operation: 77-46=31, Resulting Numbers: [41, 31]
Generated Node #0,1,1: 82:[41, 31] Operation: 77-46=31
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[77, 5], Operations: ['55-14=41', '46-41=5']
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,82 unequal: No Solution
Exploring Operation: 77+5=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[14, 46, 77, 55], Operations: []
Exploring Operation: 55-14=41, Resulting Numbers: [46, 77, 41]
Generated Node #0,1: 82:[46, 77, 41] Operation: 55-14=41
Moving to Node #0,1
Current State: 82:[46, 77, 41], Operations: ['55-14=41']
Exploring Operation: 46-41=5, Resulting Numbers: [77, 5]
Generated Node #0,1,0: 82:[77, 5] Operation: 46-41=5
Moving to Node #0,1,0
Current State: 82:[77, 5], Operations: ['55-14=41', '46-41=5']
Exploring Operation: 77+5=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
99,
10,
24,
27
] | 15 | [
"99+24=123",
"27+123=150",
"150/10=15"
] | Current State: 15:[99, 10, 24, 27], Operations: []
Exploring Operation: 99+24=123, Resulting Numbers: [10, 27, 123]
Generated Node #2: [10, 27, 123] from Operation: 99+24=123
Current State: 15:[10, 27, 123], Operations: ['99+24=123']
Exploring Operation: 27+123=150, Resulting Numbers: [10, 150]
Generated Node #3: [10, 150] from Operation: 27+123=150
Current State: 15:[10, 150], Operations: ['99+24=123', '27+123=150']
Exploring Operation: 150/10=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[99, 10, 24, 27], Operations: []
Exploring Operation: 99-10=89, Resulting Numbers: [24, 27, 89]
Generated Node #0,0: 15:[24, 27, 89] Operation: 99-10=89
Exploring Operation: 99-24=75, Resulting Numbers: [10, 27, 75]
Generated Node #0,1: 15:[10, 27, 75] Operation: 99-24=75
Exploring Operation: 99-27=72, Resulting Numbers: [10, 24, 72]
Generated Node #0,2: 15:[10, 24, 72] Operation: 99-27=72
Exploring Operation: 27-24=3, Resulting Numbers: [99, 10, 3]
Generated Node #0,3: 15:[99, 10, 3] Operation: 27-24=3
Moving to Node #0,2
Current State: 15:[10, 24, 72], Operations: ['99-27=72']
Exploring Operation: 72/24=3, Resulting Numbers: [10, 3]
Generated Node #0,2,0: 15:[10, 3] Operation: 72/24=3
Exploring Operation: 24-10=14, Resulting Numbers: [72, 14]
Generated Node #0,2,1: 15:[72, 14] Operation: 24-10=14
Exploring Operation: 72-24=48, Resulting Numbers: [10, 48]
Generated Node #0,2,2: 15:[10, 48] Operation: 72-24=48
Exploring Operation: 72-10=62, Resulting Numbers: [24, 62]
Generated Node #0,2,3: 15:[24, 62] Operation: 72-10=62
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[10, 3], Operations: ['99-27=72', '72/24=3']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,15 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 #0,2,2
Current State: 15:[10, 48], Operations: ['99-27=72', '72-24=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,15 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,15 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 #0,2,3
Current State: 15:[24, 62], Operations: ['99-27=72', '72-10=62']
Exploring Operation: 24*62=1488, Resulting Numbers: [1488]
1488,15 unequal: No Solution
Exploring Operation: 24+62=86, Resulting Numbers: [86]
86,15 unequal: No Solution
Exploring Operation: 62-24=38, Resulting Numbers: [38]
38,15 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 #0,2,1
Current State: 15:[72, 14], Operations: ['99-27=72', '24-10=14']
Exploring Operation: 72-14=58, Resulting Numbers: [58]
58,15 unequal: No Solution
Exploring Operation: 72*14=1008, Resulting Numbers: [1008]
1008,15 unequal: No Solution
Exploring Operation: 72+14=86, Resulting Numbers: [86]
86,15 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: 15:[10, 27, 75], Operations: ['99-24=75']
Exploring Operation: 27-10=17, Resulting Numbers: [75, 17]
Generated Node #0,1,0: 15:[75, 17] Operation: 27-10=17
Exploring Operation: 75-10=65, Resulting Numbers: [27, 65]
Generated Node #0,1,1: 15:[27, 65] Operation: 75-10=65
Exploring Operation: 75-27=48, Resulting Numbers: [10, 48]
Generated Node #0,1,2: 15:[10, 48] Operation: 75-27=48
Exploring Operation: 10+27=37, Resulting Numbers: [75, 37]
Generated Node #0,1,3: 15:[75, 37] Operation: 10+27=37
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[10, 48], Operations: ['99-24=75', '75-27=48']
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,15 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,15 unequal: No Solution
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,15 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:[75, 17], Operations: ['99-24=75', '27-10=17']
Exploring Operation: 75*17=1275, Resulting Numbers: [1275]
1275,15 unequal: No Solution
Exploring Operation: 75+17=92, Resulting Numbers: [92]
92,15 unequal: No Solution
Exploring Operation: 75-17=58, Resulting Numbers: [58]
58,15 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 #0,1,1
Current State: 15:[27, 65], Operations: ['99-24=75', '75-10=65']
Exploring Operation: 27+65=92, Resulting Numbers: [92]
92,15 unequal: No Solution
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 27*65=1755, Resulting Numbers: [1755]
1755,15 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 #0,1,3
Current State: 15:[75, 37], Operations: ['99-24=75', '10+27=37']
Exploring Operation: 75*37=2775, Resulting Numbers: [2775]
2775,15 unequal: No Solution
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 75+37=112, Resulting Numbers: [112]
112,15 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: 15:[99, 10, 3], Operations: ['27-24=3']
Exploring Operation: 99/3=33, Resulting Numbers: [10, 33]
Generated Node #0,3,0: 15:[10, 33] Operation: 99/3=33
Exploring Operation: 99-10=89, Resulting Numbers: [3, 89]
Generated Node #0,3,1: 15:[3, 89] Operation: 99-10=89
Exploring Operation: 99-3=96, Resulting Numbers: [10, 96]
Generated Node #0,3,2: 15:[10, 96] Operation: 99-3=96
Exploring Operation: 10+3=13, Resulting Numbers: [99, 13]
Generated Node #0,3,3: 15:[99, 13] Operation: 10+3=13
Moving to Node #0,0
Current State: 15:[24, 27, 89], Operations: ['99-10=89']
Exploring Operation: 89-27=62, Resulting Numbers: [24, 62]
Generated Node #0,0,0: 15:[24, 62] Operation: 89-27=62
Exploring Operation: 27-24=3, Resulting Numbers: [89, 3]
Generated Node #0,0,1: 15:[89, 3] Operation: 27-24=3
Exploring Operation: 89-24=65, Resulting Numbers: [27, 65]
Generated Node #0,0,2: 15:[27, 65] Operation: 89-24=65
Exploring Operation: 24+27=51, Resulting Numbers: [89, 51]
Generated Node #0,0,3: 15:[89, 51] Operation: 24+27=51
Moving to Node #0,3,0
Current State: 15:[10, 33], Operations: ['27-24=3', '99/3=33']
Exploring Operation: 10*33=330, Resulting Numbers: [330]
330,15 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[24, 62], Operations: ['99-10=89', '89-27=62']
Exploring Operation: 62-24=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 24*62=1488, Resulting Numbers: [1488]
1488,15 unequal: No Solution
Exploring Operation: 24+62=86, Resulting Numbers: [86]
86,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[27, 65], Operations: ['99-10=89', '89-24=65']
Exploring Operation: 27*65=1755, Resulting Numbers: [1755]
1755,15 unequal: No Solution
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 27+65=92, Resulting Numbers: [92]
92,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[89, 3], Operations: ['99-10=89', '27-24=3']
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,15 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,15 unequal: No Solution
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,15 unequal: No Solution
Moving to Node #0,3,1
Current State: 15:[3, 89], Operations: ['27-24=3', '99-10=89']
Exploring Operation: 3*89=267, Resulting Numbers: [267]
267,15 unequal: No Solution
Exploring Operation: 3+89=92, Resulting Numbers: [92]
92,15 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,15 unequal: No Solution
Moving to Node #0,3,2
Current State: 15:[10, 96], Operations: ['27-24=3', '99-3=96']
Exploring Operation: 10+96=106, Resulting Numbers: [106]
106,15 unequal: No Solution
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,15 unequal: No Solution
Exploring Operation: 10*96=960, Resulting Numbers: [960]
960,15 unequal: No Solution
Moving to Node #0,3,3
Current State: 15:[99, 13], Operations: ['27-24=3', '10+3=13']
Exploring Operation: 99+13=112, Resulting Numbers: [112]
112,15 unequal: No Solution
Exploring Operation: 99-13=86, Resulting Numbers: [86]
86,15 unequal: No Solution
Exploring Operation: 99*13=1287, Resulting Numbers: [1287]
1287,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[89, 51], Operations: ['99-10=89', '24+27=51']
Exploring Operation: 89-51=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 89+51=140, Resulting Numbers: [140]
140,15 unequal: No Solution
Exploring Operation: 89*51=4539, Resulting Numbers: [4539]
4539,15 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
9,
78,
90,
87
] | 91 | [
"9+78=87",
"87/87=1",
"90+1=91"
] | Current State: 91:[9, 78, 90, 87], Operations: []
Exploring Operation: 9+78=87, Resulting Numbers: [90, 87, 87]
Generated Node #2: [90, 87, 87] from Operation: 9+78=87
Current State: 91:[90, 87, 87], Operations: ['9+78=87']
Exploring Operation: 87/87=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 87/87=1
Current State: 91:[90, 1], Operations: ['9+78=87', '87/87=1']
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[9, 78, 90, 87], Operations: []
Exploring Operation: 90-78=12, Resulting Numbers: [9, 87, 12]
Generated Node #0,0: 91:[9, 87, 12] Operation: 90-78=12
Exploring Operation: 87-78=9, Resulting Numbers: [9, 90, 9]
Generated Node #0,1: 91:[9, 90, 9] Operation: 87-78=9
Moving to Node #0,1
Current State: 91:[9, 90, 9], Operations: ['87-78=9']
Exploring Operation: 90/9=10, Resulting Numbers: [9, 10]
Generated Node #0,1,0: 91:[9, 10] Operation: 90/9=10
Exploring Operation: 90/9=10, Resulting Numbers: [9, 10]
Generated Node #0,1,1: 91:[9, 10] Operation: 90/9=10
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[9, 10], Operations: ['87-78=9', '90/9=10']
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,91 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[9, 10], Operations: ['87-78=9', '90/9=10']
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,91 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,91 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: 91:[9, 87, 12], Operations: ['90-78=12']
Exploring Operation: 9+87=96, Resulting Numbers: [12, 96]
Generated Node #0,0,0: 91:[12, 96] Operation: 9+87=96
Exploring Operation: 12-9=3, Resulting Numbers: [87, 3]
Generated Node #0,0,1: 91:[87, 3] Operation: 12-9=3
Moving to Node #0,0,0
Current State: 91:[12, 96], Operations: ['90-78=12', '9+87=96']
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,91 unequal: No Solution
Exploring Operation: 96/12=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[87, 3], Operations: ['90-78=12', '12-9=3']
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,91 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
87,
72,
68,
76
] | 18 | [
"87-68=19",
"72*19=1368",
"1368/76=18"
] | Current State: 18:[87, 72, 68, 76], Operations: []
Exploring Operation: 87-68=19, Resulting Numbers: [72, 76, 19]
Generated Node #2: [72, 76, 19] from Operation: 87-68=19
Current State: 18:[72, 76, 19], Operations: ['87-68=19']
Exploring Operation: 72*19=1368, Resulting Numbers: [76, 1368]
Generated Node #3: [76, 1368] from Operation: 72*19=1368
Current State: 18:[76, 1368], Operations: ['87-68=19', '72*19=1368']
Exploring Operation: 1368/76=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[87, 72, 68, 76], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [87, 68, 4]
Generated Node #0,0: 18:[87, 68, 4] Operation: 76-72=4
Exploring Operation: 87-68=19, Resulting Numbers: [72, 76, 19]
Generated Node #0,1: 18:[72, 76, 19] Operation: 87-68=19
Exploring Operation: 87-76=11, Resulting Numbers: [72, 68, 11]
Generated Node #0,2: 18:[72, 68, 11] Operation: 87-76=11
Exploring Operation: 87-72=15, Resulting Numbers: [68, 76, 15]
Generated Node #0,3: 18:[68, 76, 15] Operation: 87-72=15
Moving to Node #0,2
Current State: 18:[72, 68, 11], Operations: ['87-76=11']
Exploring Operation: 72-11=61, Resulting Numbers: [68, 61]
Generated Node #0,2,0: 18:[68, 61] Operation: 72-11=61
Exploring Operation: 72+11=83, Resulting Numbers: [68, 83]
Generated Node #0,2,1: 18:[68, 83] Operation: 72+11=83
Exploring Operation: 72-68=4, Resulting Numbers: [11, 4]
Generated Node #0,2,2: 18:[11, 4] Operation: 72-68=4
Exploring Operation: 68-11=57, Resulting Numbers: [72, 57]
Generated Node #0,2,3: 18:[72, 57] Operation: 68-11=57
Moving to Node #0,3
Current State: 18:[68, 76, 15], Operations: ['87-72=15']
Exploring Operation: 76-15=61, Resulting Numbers: [68, 61]
Generated Node #0,3,0: 18:[68, 61] Operation: 76-15=61
Exploring Operation: 68-15=53, Resulting Numbers: [76, 53]
Generated Node #0,3,1: 18:[76, 53] Operation: 68-15=53
Exploring Operation: 68+15=83, Resulting Numbers: [76, 83]
Generated Node #0,3,2: 18:[76, 83] Operation: 68+15=83
Exploring Operation: 76-68=8, Resulting Numbers: [15, 8]
Generated Node #0,3,3: 18:[15, 8] Operation: 76-68=8
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 18:[15, 8], Operations: ['87-72=15', '76-68=8']
Exploring Operation: 15*8=120, Resulting Numbers: [120]
120,18 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,18 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:[68, 61], Operations: ['87-72=15', '76-15=61']
Exploring Operation: 68+61=129, Resulting Numbers: [129]
129,18 unequal: No Solution
Exploring Operation: 68-61=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 68*61=4148, Resulting Numbers: [4148]
4148,18 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, 53], Operations: ['87-72=15', '68-15=53']
Exploring Operation: 76-53=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 76+53=129, Resulting Numbers: [129]
129,18 unequal: No Solution
Exploring Operation: 76*53=4028, Resulting Numbers: [4028]
4028,18 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 #0,3,2
Current State: 18:[76, 83], Operations: ['87-72=15', '68+15=83']
Exploring Operation: 83-76=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 76*83=6308, Resulting Numbers: [6308]
6308,18 unequal: No Solution
Exploring Operation: 76+83=159, Resulting Numbers: [159]
159,18 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:[72, 76, 19], Operations: ['87-68=19']
Exploring Operation: 76-19=57, Resulting Numbers: [72, 57]
Generated Node #0,1,0: 18:[72, 57] Operation: 76-19=57
Exploring Operation: 76/19=4, Resulting Numbers: [72, 4]
Generated Node #0,1,1: 18:[72, 4] Operation: 76/19=4
Exploring Operation: 72-19=53, Resulting Numbers: [76, 53]
Generated Node #0,1,2: 18:[76, 53] Operation: 72-19=53
Exploring Operation: 76-72=4, Resulting Numbers: [19, 4]
Generated Node #0,1,3: 18:[19, 4] Operation: 76-72=4
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 18:[19, 4], Operations: ['87-68=19', '76-72=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,18 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,18 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:[72, 4], Operations: ['87-68=19', '76/19=4']
Exploring Operation: 72*4=288, Resulting Numbers: [288]
288,18 unequal: No Solution
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[87, 72, 68, 76], Operations: []
Exploring Operation: 87-68=19, Resulting Numbers: [72, 76, 19]
Generated Node #0,1: 18:[72, 76, 19] Operation: 87-68=19
Moving to Node #0,1
Current State: 18:[72, 76, 19], Operations: ['87-68=19']
Exploring Operation: 76/19=4, Resulting Numbers: [72, 4]
Generated Node #0,1,1: 18:[72, 4] Operation: 76/19=4
Moving to Node #0,1,1
Current State: 18:[72, 4], Operations: ['87-68=19', '76/19=4']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_4 | sum_heuristic |
[
35,
56,
22,
50
] | 50 | [
"56-35=21",
"22-21=1",
"50*1=50"
] | Current State: 50:[35, 56, 22, 50], Operations: []
Exploring Operation: 56-35=21, Resulting Numbers: [22, 50, 21]
Generated Node #2: [22, 50, 21] from Operation: 56-35=21
Current State: 50:[22, 50, 21], Operations: ['56-35=21']
Exploring Operation: 22-21=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 22-21=1
Current State: 50:[50, 1], Operations: ['56-35=21', '22-21=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[35, 56, 22, 50], Operations: []
Exploring Operation: 35-22=13, Resulting Numbers: [56, 50, 13]
Generated Node #0,0: 50:[56, 50, 13] Operation: 35-22=13
Exploring Operation: 56-35=21, Resulting Numbers: [22, 50, 21]
Generated Node #0,1: 50:[22, 50, 21] Operation: 56-35=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[22, 50, 21], Operations: ['56-35=21']
Exploring Operation: 50-22=28, Resulting Numbers: [21, 28]
Generated Node #0,1,0: 50:[21, 28] Operation: 50-22=28
Exploring Operation: 22-21=1, Resulting Numbers: [50, 1]
Generated Node #0,1,1: 50:[50, 1] Operation: 22-21=1
Moving to Node #0,1,1
Current State: 50:[50, 1], Operations: ['56-35=21', '22-21=1']
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[35, 56, 22, 50], Operations: []
Exploring Operation: 56-35=21, Resulting Numbers: [22, 50, 21]
Generated Node #0,1: 50:[22, 50, 21] Operation: 56-35=21
Moving to Node #0,1
Current State: 50:[22, 50, 21], Operations: ['56-35=21']
Exploring Operation: 22-21=1, Resulting Numbers: [50, 1]
Generated Node #0,1,1: 50:[50, 1] Operation: 22-21=1
Moving to Node #0,1,1
Current State: 50:[50, 1], Operations: ['56-35=21', '22-21=1']
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
85,
27,
20,
16
] | 13 | [
"85+27=112",
"112/16=7",
"20-7=13"
] | Current State: 13:[85, 27, 20, 16], Operations: []
Exploring Operation: 85+27=112, Resulting Numbers: [20, 16, 112]
Generated Node #2: [20, 16, 112] from Operation: 85+27=112
Current State: 13:[20, 16, 112], Operations: ['85+27=112']
Exploring Operation: 112/16=7, Resulting Numbers: [20, 7]
Generated Node #3: [20, 7] from Operation: 112/16=7
Current State: 13:[20, 7], Operations: ['85+27=112', '112/16=7']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[85, 27, 20, 16], Operations: []
Exploring Operation: 85-27=58, Resulting Numbers: [20, 16, 58]
Generated Node #0,0: 13:[20, 16, 58] Operation: 85-27=58
Moving to Node #0,0
Current State: 13:[20, 16, 58], Operations: ['85-27=58']
Exploring Operation: 58-20=38, Resulting Numbers: [16, 38]
Generated Node #0,0,0: 13:[16, 38] Operation: 58-20=38
Moving to Node #0,0,0
Current State: 13:[16, 38], Operations: ['85-27=58', '58-20=38']
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,13 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
54,
95,
97,
9
] | 90 | [
"54-9=45",
"97-95=2",
"45*2=90"
] | Current State: 90:[54, 95, 97, 9], Operations: []
Exploring Operation: 54-9=45, Resulting Numbers: [95, 97, 45]
Generated Node #2: [95, 97, 45] from Operation: 54-9=45
Current State: 90:[95, 97, 45], Operations: ['54-9=45']
Exploring Operation: 97-95=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 97-95=2
Current State: 90:[45, 2], Operations: ['54-9=45', '97-95=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[54, 95, 97, 9], Operations: []
Exploring Operation: 95-54=41, Resulting Numbers: [97, 9, 41]
Generated Node #0,0: 90:[97, 9, 41] Operation: 95-54=41
Exploring Operation: 97-54=43, Resulting Numbers: [95, 9, 43]
Generated Node #0,1: 90:[95, 9, 43] Operation: 97-54=43
Exploring Operation: 97-95=2, Resulting Numbers: [54, 9, 2]
Generated Node #0,2: 90:[54, 9, 2] Operation: 97-95=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[95, 9, 43], Operations: ['97-54=43']
Exploring Operation: 95-9=86, Resulting Numbers: [43, 86]
Generated Node #0,1,0: 90:[43, 86] Operation: 95-9=86
Exploring Operation: 43-9=34, Resulting Numbers: [95, 34]
Generated Node #0,1,1: 90:[95, 34] Operation: 43-9=34
Exploring Operation: 95-43=52, Resulting Numbers: [9, 52]
Generated Node #0,1,2: 90:[9, 52] Operation: 95-43=52
Moving to Node #0,1,0
Current State: 90:[43, 86], Operations: ['97-54=43', '95-9=86']
Exploring Operation: 86/43=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 86-43=43, Resulting Numbers: [43]
43,90 unequal: No Solution
Exploring Operation: 43+86=129, Resulting Numbers: [129]
129,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[9, 52], Operations: ['97-54=43', '95-43=52']
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,90 unequal: No Solution
Exploring Operation: 9*52=468, Resulting Numbers: [468]
468,90 unequal: No Solution
Exploring Operation: 9+52=61, Resulting Numbers: [61]
61,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[95, 34], Operations: ['97-54=43', '43-9=34']
Exploring Operation: 95+34=129, Resulting Numbers: [129]
129,90 unequal: No Solution
Exploring Operation: 95*34=3230, Resulting Numbers: [3230]
3230,90 unequal: No Solution
Exploring Operation: 95-34=61, Resulting Numbers: [61]
61,90 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 #0,2
Current State: 90:[54, 9, 2], Operations: ['97-95=2']
Exploring Operation: 54/9=6, Resulting Numbers: [2, 6]
Generated Node #0,2,0: 90:[2, 6] Operation: 54/9=6
Exploring Operation: 54-9=45, Resulting Numbers: [2, 45]
Generated Node #0,2,1: 90:[2, 45] Operation: 54-9=45
Exploring Operation: 54/2=27, Resulting Numbers: [9, 27]
Generated Node #0,2,2: 90:[9, 27] Operation: 54/2=27
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 90:[2, 6], Operations: ['97-95=2', '54/9=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,90 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,90 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 #0,2,1
Current State: 90:[2, 45], Operations: ['97-95=2', '54-9=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,90 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[54, 95, 97, 9], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [54, 9, 2]
Generated Node #0,2: 90:[54, 9, 2] Operation: 97-95=2
Moving to Node #0,2
Current State: 90:[54, 9, 2], Operations: ['97-95=2']
Exploring Operation: 54-9=45, Resulting Numbers: [2, 45]
Generated Node #0,2,1: 90:[2, 45] Operation: 54-9=45
Moving to Node #0,2,1
Current State: 90:[2, 45], Operations: ['97-95=2', '54-9=45']
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.976563 | hs_3 | sum_heuristic |
[
26,
67,
14,
73
] | 34 | [
"26+67=93",
"73-14=59",
"93-59=34"
] | Current State: 34:[26, 67, 14, 73], Operations: []
Exploring Operation: 26+67=93, Resulting Numbers: [14, 73, 93]
Generated Node #2: [14, 73, 93] from Operation: 26+67=93
Current State: 34:[14, 73, 93], Operations: ['26+67=93']
Exploring Operation: 73-14=59, Resulting Numbers: [93, 59]
Generated Node #3: [93, 59] from Operation: 73-14=59
Current State: 34:[93, 59], Operations: ['26+67=93', '73-14=59']
Exploring Operation: 93-59=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[26, 67, 14, 73], Operations: []
Exploring Operation: 73-14=59, Resulting Numbers: [26, 67, 59]
Generated Node #0,0: 34:[26, 67, 59] Operation: 73-14=59
Exploring Operation: 67-26=41, Resulting Numbers: [14, 73, 41]
Generated Node #0,1: 34:[14, 73, 41] Operation: 67-26=41
Exploring Operation: 73-67=6, Resulting Numbers: [26, 14, 6]
Generated Node #0,2: 34:[26, 14, 6] Operation: 73-67=6
Exploring Operation: 73-26=47, Resulting Numbers: [67, 14, 47]
Generated Node #0,3: 34:[67, 14, 47] Operation: 73-26=47
Exploring Operation: 67-14=53, Resulting Numbers: [26, 73, 53]
Generated Node #0,4: 34:[26, 73, 53] Operation: 67-14=53
Moving to Node #0,2
Current State: 34:[26, 14, 6], Operations: ['73-67=6']
Exploring Operation: 26+6=32, Resulting Numbers: [14, 32]
Generated Node #0,2,0: 34:[14, 32] Operation: 26+6=32
Exploring Operation: 26+14=40, Resulting Numbers: [6, 40]
Generated Node #0,2,1: 34:[6, 40] Operation: 26+14=40
Exploring Operation: 26-14=12, Resulting Numbers: [6, 12]
Generated Node #0,2,2: 34:[6, 12] Operation: 26-14=12
Exploring Operation: 14+6=20, Resulting Numbers: [26, 20]
Generated Node #0,2,3: 34:[26, 20] Operation: 14+6=20
Exploring Operation: 26-6=20, Resulting Numbers: [14, 20]
Generated Node #0,2,4: 34:[14, 20] Operation: 26-6=20
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 34:[14, 32], Operations: ['73-67=6', '26+6=32']
Exploring Operation: 14+32=46, Resulting Numbers: [46]
46,34 unequal: No Solution
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,34 unequal: No Solution
Exploring Operation: 14*32=448, Resulting Numbers: [448]
448,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 34:[14, 20], Operations: ['73-67=6', '26-6=20']
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[26, 67, 14, 73], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [26, 14, 6]
Generated Node #0,2: 34:[26, 14, 6] Operation: 73-67=6
Moving to Node #0,2
Current State: 34:[26, 14, 6], Operations: ['73-67=6']
Exploring Operation: 26-6=20, Resulting Numbers: [14, 20]
Generated Node #0,2,4: 34:[14, 20] Operation: 26-6=20
Moving to Node #0,2,4
Current State: 34:[14, 20], Operations: ['73-67=6', '26-6=20']
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
34,
43,
52,
32
] | 75 | [
"43-34=9",
"52+32=84",
"84-9=75"
] | Current State: 75:[34, 43, 52, 32], Operations: []
Exploring Operation: 43-34=9, Resulting Numbers: [52, 32, 9]
Generated Node #2: [52, 32, 9] from Operation: 43-34=9
Current State: 75:[52, 32, 9], Operations: ['43-34=9']
Exploring Operation: 52+32=84, Resulting Numbers: [9, 84]
Generated Node #3: [9, 84] from Operation: 52+32=84
Current State: 75:[9, 84], Operations: ['43-34=9', '52+32=84']
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[34, 43, 52, 32], Operations: []
Exploring Operation: 34+43=77, Resulting Numbers: [52, 32, 77]
Generated Node #0,0: 75:[52, 32, 77] Operation: 34+43=77
Exploring Operation: 52-43=9, Resulting Numbers: [34, 32, 9]
Generated Node #0,1: 75:[34, 32, 9] Operation: 52-43=9
Exploring Operation: 43+32=75, Resulting Numbers: [34, 52, 75]
Generated Node #0,2: 75:[34, 52, 75] Operation: 43+32=75
Exploring Operation: 52-34=18, Resulting Numbers: [43, 32, 18]
Generated Node #0,3: 75:[43, 32, 18] Operation: 52-34=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[34, 32, 9], Operations: ['52-43=9']
Exploring Operation: 34+32=66, Resulting Numbers: [9, 66]
Generated Node #0,1,0: 75:[9, 66] Operation: 34+32=66
Exploring Operation: 34-32=2, Resulting Numbers: [9, 2]
Generated Node #0,1,1: 75:[9, 2] Operation: 34-32=2
Exploring Operation: 34-9=25, Resulting Numbers: [32, 25]
Generated Node #0,1,2: 75:[32, 25] Operation: 34-9=25
Exploring Operation: 32-9=23, Resulting Numbers: [34, 23]
Generated Node #0,1,3: 75:[34, 23] Operation: 32-9=23
Moving to Node #0,1,1
Current State: 75:[9, 2], Operations: ['52-43=9', '34-32=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[32, 25], Operations: ['52-43=9', '34-9=25']
Exploring Operation: 32*25=800, Resulting Numbers: [800]
800,75 unequal: No Solution
Exploring Operation: 32+25=57, Resulting Numbers: [57]
57,75 unequal: No Solution
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Moving to Node #0,1,3
Current State: 75:[34, 23], Operations: ['52-43=9', '32-9=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,75 unequal: No Solution
Exploring Operation: 34*23=782, Resulting Numbers: [782]
782,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[9, 66], Operations: ['52-43=9', '34+32=66']
Exploring Operation: 9*66=594, Resulting Numbers: [594]
594,75 unequal: No Solution
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[34, 43, 52, 32], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [34, 32, 9]
Generated Node #0,1: 75:[34, 32, 9] Operation: 52-43=9
Moving to Node #0,1
Current State: 75:[34, 32, 9], Operations: ['52-43=9']
Exploring Operation: 34+32=66, Resulting Numbers: [9, 66]
Generated Node #0,1,0: 75:[9, 66] Operation: 34+32=66
Moving to Node #0,1,0
Current State: 75:[9, 66], Operations: ['52-43=9', '34+32=66']
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_4 | mult_heuristic |
[
23,
57,
7,
99
] | 17 | [
"99-57=42",
"42/7=6",
"23-6=17"
] | Current State: 17:[23, 57, 7, 99], Operations: []
Exploring Operation: 99-57=42, Resulting Numbers: [23, 7, 42]
Generated Node #2: [23, 7, 42] from Operation: 99-57=42
Current State: 17:[23, 7, 42], Operations: ['99-57=42']
Exploring Operation: 42/7=6, Resulting Numbers: [23, 6]
Generated Node #3: [23, 6] from Operation: 42/7=6
Current State: 17:[23, 6], Operations: ['99-57=42', '42/7=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[23, 57, 7, 99], Operations: []
Exploring Operation: 57-23=34, Resulting Numbers: [7, 99, 34]
Generated Node #0,0: 17:[7, 99, 34] Operation: 57-23=34
Exploring Operation: 99-57=42, Resulting Numbers: [23, 7, 42]
Generated Node #0,1: 17:[23, 7, 42] Operation: 99-57=42
Moving to Node #0,1
Current State: 17:[23, 7, 42], Operations: ['99-57=42']
Exploring Operation: 42/7=6, Resulting Numbers: [23, 6]
Generated Node #0,1,0: 17:[23, 6] Operation: 42/7=6
Exploring Operation: 42-23=19, Resulting Numbers: [7, 19]
Generated Node #0,1,1: 17:[7, 19] Operation: 42-23=19
Moving to Node #0,0
Current State: 17:[7, 99, 34], Operations: ['57-23=34']
Exploring Operation: 99-34=65, Resulting Numbers: [7, 65]
Generated Node #0,0,0: 17:[7, 65] Operation: 99-34=65
Exploring Operation: 99-7=92, Resulting Numbers: [34, 92]
Generated Node #0,0,1: 17:[34, 92] Operation: 99-7=92
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[7, 65], Operations: ['57-23=34', '99-34=65']
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,17 unequal: No Solution
Exploring Operation: 7+65=72, Resulting Numbers: [72]
72,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 17:[34, 92], Operations: ['57-23=34', '99-7=92']
Exploring Operation: 92-34=58, Resulting Numbers: [58]
58,17 unequal: No Solution
Exploring Operation: 34+92=126, Resulting Numbers: [126]
126,17 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: 17:[7, 19], Operations: ['99-57=42', '42-23=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,17 unequal: No Solution
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[23, 6], Operations: ['99-57=42', '42/7=6']
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[23, 57, 7, 99], Operations: []
Exploring Operation: 99-57=42, Resulting Numbers: [23, 7, 42]
Generated Node #0,1: 17:[23, 7, 42] Operation: 99-57=42
Moving to Node #0,1
Current State: 17:[23, 7, 42], Operations: ['99-57=42']
Exploring Operation: 42/7=6, Resulting Numbers: [23, 6]
Generated Node #0,1,0: 17:[23, 6] Operation: 42/7=6
Moving to Node #0,1,0
Current State: 17:[23, 6], Operations: ['99-57=42', '42/7=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 0.984375 | hs_2 | sum_heuristic |
[
37,
61,
56,
28
] | 16 | [
"37+61=98",
"56*28=1568",
"1568/98=16"
] | Current State: 16:[37, 61, 56, 28], Operations: []
Exploring Operation: 37+61=98, Resulting Numbers: [56, 28, 98]
Generated Node #2: [56, 28, 98] from Operation: 37+61=98
Current State: 16:[56, 28, 98], Operations: ['37+61=98']
Exploring Operation: 56*28=1568, Resulting Numbers: [98, 1568]
Generated Node #3: [98, 1568] from Operation: 56*28=1568
Current State: 16:[98, 1568], Operations: ['37+61=98', '56*28=1568']
Exploring Operation: 1568/98=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[37, 61, 56, 28], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [37, 28, 5]
Generated Node #0,0: 16:[37, 28, 5] Operation: 61-56=5
Exploring Operation: 61-37=24, Resulting Numbers: [56, 28, 24]
Generated Node #0,1: 16:[56, 28, 24] Operation: 61-37=24
Exploring Operation: 56/28=2, Resulting Numbers: [37, 61, 2]
Generated Node #0,2: 16:[37, 61, 2] Operation: 56/28=2
Exploring Operation: 56-37=19, Resulting Numbers: [61, 28, 19]
Generated Node #0,3: 16:[61, 28, 19] Operation: 56-37=19
Moving to Node #0,0
Current State: 16:[37, 28, 5], Operations: ['61-56=5']
Exploring Operation: 37-5=32, Resulting Numbers: [28, 32]
Generated Node #0,0,0: 16:[28, 32] Operation: 37-5=32
Exploring Operation: 37-28=9, Resulting Numbers: [5, 9]
Generated Node #0,0,1: 16:[5, 9] Operation: 37-28=9
Exploring Operation: 28-5=23, Resulting Numbers: [37, 23]
Generated Node #0,0,2: 16:[37, 23] Operation: 28-5=23
Exploring Operation: 37+5=42, Resulting Numbers: [28, 42]
Generated Node #0,0,3: 16:[28, 42] Operation: 37+5=42
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[5, 9], Operations: ['61-56=5', '37-28=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,16 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,16 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:[28, 32], Operations: ['61-56=5', '37-5=32']
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 28*32=896, Resulting Numbers: [896]
896,16 unequal: No Solution
Exploring Operation: 32-28=4, Resulting Numbers: [4]
4,16 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:[37, 23], Operations: ['61-56=5', '28-5=23']
Exploring Operation: 37*23=851, Resulting Numbers: [851]
851,16 unequal: No Solution
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,16 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:[28, 42], Operations: ['61-56=5', '37+5=42']
Exploring Operation: 28+42=70, Resulting Numbers: [70]
70,16 unequal: No Solution
Exploring Operation: 28*42=1176, Resulting Numbers: [1176]
1176,16 unequal: No Solution
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 16:[61, 28, 19], Operations: ['56-37=19']
Exploring Operation: 61-28=33, Resulting Numbers: [19, 33]
Generated Node #0,3,0: 16:[19, 33] Operation: 61-28=33
Exploring Operation: 61+28=89, Resulting Numbers: [19, 89]
Generated Node #0,3,1: 16:[19, 89] Operation: 61+28=89
Exploring Operation: 28-19=9, Resulting Numbers: [61, 9]
Generated Node #0,3,2: 16:[61, 9] Operation: 28-19=9
Exploring Operation: 61-19=42, Resulting Numbers: [28, 42]
Generated Node #0,3,3: 16:[28, 42] Operation: 61-19=42
Moving to Node #0,1
Current State: 16:[56, 28, 24], Operations: ['61-37=24']
Exploring Operation: 28-24=4, Resulting Numbers: [56, 4]
Generated Node #0,1,0: 16:[56, 4] Operation: 28-24=4
Exploring Operation: 56/28=2, Resulting Numbers: [24, 2]
Generated Node #0,1,1: 16:[24, 2] Operation: 56/28=2
Exploring Operation: 56-28=28, Resulting Numbers: [24, 28]
Generated Node #0,1,2: 16:[24, 28] Operation: 56-28=28
Exploring Operation: 56-24=32, Resulting Numbers: [28, 32]
Generated Node #0,1,3: 16:[28, 32] Operation: 56-24=32
Moving to Node #0,2
Current State: 16:[37, 61, 2], Operations: ['56/28=2']
Exploring Operation: 37-2=35, Resulting Numbers: [61, 35]
Generated Node #0,2,0: 16:[61, 35] Operation: 37-2=35
Exploring Operation: 61-37=24, Resulting Numbers: [2, 24]
Generated Node #0,2,1: 16:[2, 24] Operation: 61-37=24
Exploring Operation: 37+2=39, Resulting Numbers: [61, 39]
Generated Node #0,2,2: 16:[61, 39] Operation: 37+2=39
Exploring Operation: 61-2=59, Resulting Numbers: [37, 59]
Generated Node #0,2,3: 16:[37, 59] Operation: 61-2=59
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 16:[2, 24], Operations: ['56/28=2', '61-37=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,16 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:[61, 35], Operations: ['56/28=2', '37-2=35']
Exploring Operation: 61*35=2135, Resulting Numbers: [2135]
2135,16 unequal: No Solution
Exploring Operation: 61+35=96, Resulting Numbers: [96]
96,16 unequal: No Solution
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,16 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:[37, 59], Operations: ['56/28=2', '61-2=59']
Exploring Operation: 37*59=2183, Resulting Numbers: [2183]
2183,16 unequal: No Solution
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,16 unequal: No Solution
Exploring Operation: 37+59=96, Resulting Numbers: [96]
96,16 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:[61, 39], Operations: ['56/28=2', '37+2=39']
Exploring Operation: 61+39=100, Resulting Numbers: [100]
100,16 unequal: No Solution
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,16 unequal: No Solution
Exploring Operation: 61*39=2379, Resulting Numbers: [2379]
2379,16 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:[24, 2], Operations: ['61-37=24', '56/28=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,16 unequal: No Solution
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[24, 28], Operations: ['61-37=24', '56-28=28']
Exploring Operation: 24*28=672, Resulting Numbers: [672]
672,16 unequal: No Solution
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Moving to Node #0,3,0
Current State: 16:[19, 33], Operations: ['56-37=19', '61-28=33']
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,16 unequal: No Solution
Exploring Operation: 19*33=627, Resulting Numbers: [627]
627,16 unequal: No Solution
Exploring Operation: 19+33=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[28, 32], Operations: ['61-37=24', '56-24=32']
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 28*32=896, Resulting Numbers: [896]
896,16 unequal: No Solution
Exploring Operation: 32-28=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Moving to Node #0,3,3
Current State: 16:[28, 42], Operations: ['56-37=19', '61-19=42']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,16 unequal: No Solution
Exploring Operation: 28+42=70, Resulting Numbers: [70]
70,16 unequal: No Solution
Exploring Operation: 28*42=1176, Resulting Numbers: [1176]
1176,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[56, 4], Operations: ['61-37=24', '28-24=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,16 unequal: No Solution
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 56*4=224, Resulting Numbers: [224]
224,16 unequal: No Solution
Moving to Node #0,3,2
Current State: 16:[61, 9], Operations: ['56-37=19', '28-19=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,16 unequal: No Solution
Exploring Operation: 61*9=549, Resulting Numbers: [549]
549,16 unequal: No Solution
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Moving to Node #0,3,1
Current State: 16:[19, 89], Operations: ['56-37=19', '61+28=89']
Exploring Operation: 89-19=70, Resulting Numbers: [70]
70,16 unequal: No Solution
Exploring Operation: 19+89=108, Resulting Numbers: [108]
108,16 unequal: No Solution
Exploring Operation: 19*89=1691, Resulting Numbers: [1691]
1691,16 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
27,
2,
40,
91
] | 99 | [
"27+91=118",
"118/2=59",
"40+59=99"
] | Current State: 99:[27, 2, 40, 91], Operations: []
Exploring Operation: 27+91=118, Resulting Numbers: [2, 40, 118]
Generated Node #2: [2, 40, 118] from Operation: 27+91=118
Current State: 99:[2, 40, 118], Operations: ['27+91=118']
Exploring Operation: 118/2=59, Resulting Numbers: [40, 59]
Generated Node #3: [40, 59] from Operation: 118/2=59
Current State: 99:[40, 59], Operations: ['27+91=118', '118/2=59']
Exploring Operation: 40+59=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[27, 2, 40, 91], Operations: []
Exploring Operation: 40-27=13, Resulting Numbers: [2, 91, 13]
Generated Node #0,0: 99:[2, 91, 13] Operation: 40-27=13
Moving to Node #0,0
Current State: 99:[2, 91, 13], Operations: ['40-27=13']
Exploring Operation: 91/13=7, Resulting Numbers: [2, 7]
Generated Node #0,0,0: 99:[2, 7] Operation: 91/13=7
Moving to Node #0,0,0
Current State: 99:[2, 7], Operations: ['40-27=13', '91/13=7']
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,99 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
44,
10,
88,
20
] | 30 | [
"88/44=2",
"20*2=40",
"40-10=30"
] | Current State: 30:[44, 10, 88, 20], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [10, 20, 2]
Generated Node #2: [10, 20, 2] from Operation: 88/44=2
Current State: 30:[10, 20, 2], Operations: ['88/44=2']
Exploring Operation: 20*2=40, Resulting Numbers: [10, 40]
Generated Node #3: [10, 40] from Operation: 20*2=40
Current State: 30:[10, 40], Operations: ['88/44=2', '20*2=40']
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[44, 10, 88, 20], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [10, 20, 2]
Generated Node #0,0: 30:[10, 20, 2] Operation: 88/44=2
Moving to Node #0,0
Current State: 30:[10, 20, 2], Operations: ['88/44=2']
Exploring Operation: 10+20=30, Resulting Numbers: [2, 30]
Generated Node #0,0,0: 30:[2, 30] Operation: 10+20=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[2, 30], Operations: ['88/44=2', '10+20=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
30,
42,
6,
4
] | 62 | [
"30+42=72",
"6+4=10",
"72-10=62"
] | Current State: 62:[30, 42, 6, 4], Operations: []
Exploring Operation: 30+42=72, Resulting Numbers: [6, 4, 72]
Generated Node #2: [6, 4, 72] from Operation: 30+42=72
Current State: 62:[6, 4, 72], Operations: ['30+42=72']
Exploring Operation: 6+4=10, Resulting Numbers: [72, 10]
Generated Node #3: [72, 10] from Operation: 6+4=10
Current State: 62:[72, 10], Operations: ['30+42=72', '6+4=10']
Exploring Operation: 72-10=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[30, 42, 6, 4], Operations: []
Exploring Operation: 42-6=36, Resulting Numbers: [30, 4, 36]
Generated Node #0,0: 62:[30, 4, 36] Operation: 42-6=36
Exploring Operation: 42-4=38, Resulting Numbers: [30, 6, 38]
Generated Node #0,1: 62:[30, 6, 38] Operation: 42-4=38
Exploring Operation: 42/6=7, Resulting Numbers: [30, 4, 7]
Generated Node #0,2: 62:[30, 4, 7] Operation: 42/6=7
Moving to Node #0,0
Current State: 62:[30, 4, 36], Operations: ['42-6=36']
Exploring Operation: 30+36=66, Resulting Numbers: [4, 66]
Generated Node #0,0,0: 62:[4, 66] Operation: 30+36=66
Exploring Operation: 36-30=6, Resulting Numbers: [4, 6]
Generated Node #0,0,1: 62:[4, 6] Operation: 36-30=6
Exploring Operation: 36-4=32, Resulting Numbers: [30, 32]
Generated Node #0,0,2: 62:[30, 32] Operation: 36-4=32
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[30, 32], Operations: ['42-6=36', '36-4=32']
Exploring Operation: 30*32=960, Resulting Numbers: [960]
960,62 unequal: No Solution
Exploring Operation: 32-30=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 30+32=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[30, 42, 6, 4], Operations: []
Exploring Operation: 42-6=36, Resulting Numbers: [30, 4, 36]
Generated Node #0,0: 62:[30, 4, 36] Operation: 42-6=36
Moving to Node #0,0
Current State: 62:[30, 4, 36], Operations: ['42-6=36']
Exploring Operation: 36-4=32, Resulting Numbers: [30, 32]
Generated Node #0,0,2: 62:[30, 32] Operation: 36-4=32
Moving to Node #0,0,2
Current State: 62:[30, 32], Operations: ['42-6=36', '36-4=32']
Exploring Operation: 30+32=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
8,
81,
79,
89
] | 80 | [
"8+81=89",
"89/89=1",
"79+1=80"
] | Current State: 80:[8, 81, 79, 89], Operations: []
Exploring Operation: 8+81=89, Resulting Numbers: [79, 89, 89]
Generated Node #2: [79, 89, 89] from Operation: 8+81=89
Current State: 80:[79, 89, 89], Operations: ['8+81=89']
Exploring Operation: 89/89=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 89/89=1
Current State: 80:[79, 1], Operations: ['8+81=89', '89/89=1']
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[8, 81, 79, 89], Operations: []
Exploring Operation: 89-81=8, Resulting Numbers: [8, 79, 8]
Generated Node #0,0: 80:[8, 79, 8] Operation: 89-81=8
Exploring Operation: 89-79=10, Resulting Numbers: [8, 81, 10]
Generated Node #0,1: 80:[8, 81, 10] Operation: 89-79=10
Moving to Node #0,0
Current State: 80:[8, 79, 8], Operations: ['89-81=8']
Exploring Operation: 8+8=16, Resulting Numbers: [79, 16]
Generated Node #0,0,0: 80:[79, 16] Operation: 8+8=16
Exploring Operation: 8/8=1, Resulting Numbers: [79, 1]
Generated Node #0,0,1: 80:[79, 1] Operation: 8/8=1
Moving to Node #0,1
Current State: 80:[8, 81, 10], Operations: ['89-79=10']
Exploring Operation: 8*10=80, Resulting Numbers: [81, 80]
Generated Node #0,1,0: 80:[81, 80] Operation: 8*10=80
Exploring Operation: 10-8=2, Resulting Numbers: [81, 2]
Generated Node #0,1,1: 80:[81, 2] Operation: 10-8=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[81, 80], Operations: ['89-79=10', '8*10=80']
Exploring Operation: 81+80=161, Resulting Numbers: [161]
161,80 unequal: No Solution
Exploring Operation: 81-80=1, Resulting Numbers: [1]
1,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[81, 2], Operations: ['89-79=10', '10-8=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,80 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,80 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: 80:[79, 16], Operations: ['89-81=8', '8+8=16']
Exploring Operation: 79+16=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[79, 1], Operations: ['89-81=8', '8/8=1']
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[8, 81, 79, 89], Operations: []
Exploring Operation: 89-81=8, Resulting Numbers: [8, 79, 8]
Generated Node #0,0: 80:[8, 79, 8] Operation: 89-81=8
Moving to Node #0,0
Current State: 80:[8, 79, 8], Operations: ['89-81=8']
Exploring Operation: 8/8=1, Resulting Numbers: [79, 1]
Generated Node #0,0,1: 80:[79, 1] Operation: 8/8=1
Moving to Node #0,0,1
Current State: 80:[79, 1], Operations: ['89-81=8', '8/8=1']
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.985243 | hs_2 | sum_heuristic |
[
7,
2,
66,
10
] | 24 | [
"7+2=9",
"10*9=90",
"90-66=24"
] | Current State: 24:[7, 2, 66, 10], Operations: []
Exploring Operation: 7+2=9, Resulting Numbers: [66, 10, 9]
Generated Node #2: [66, 10, 9] from Operation: 7+2=9
Current State: 24:[66, 10, 9], Operations: ['7+2=9']
Exploring Operation: 10*9=90, Resulting Numbers: [66, 90]
Generated Node #3: [66, 90] from Operation: 10*9=90
Current State: 24:[66, 90], Operations: ['7+2=9', '10*9=90']
Exploring Operation: 90-66=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[7, 2, 66, 10], Operations: []
Exploring Operation: 66-7=59, Resulting Numbers: [2, 10, 59]
Generated Node #0,0: 24:[2, 10, 59] Operation: 66-7=59
Exploring Operation: 66-10=56, Resulting Numbers: [7, 2, 56]
Generated Node #0,1: 24:[7, 2, 56] Operation: 66-10=56
Exploring Operation: 66/2=33, Resulting Numbers: [7, 10, 33]
Generated Node #0,2: 24:[7, 10, 33] Operation: 66/2=33
Moving to Node #0,2
Current State: 24:[7, 10, 33], Operations: ['66/2=33']
Exploring Operation: 10-7=3, Resulting Numbers: [33, 3]
Generated Node #0,2,0: 24:[33, 3] Operation: 10-7=3
Exploring Operation: 33-10=23, Resulting Numbers: [7, 23]
Generated Node #0,2,1: 24:[7, 23] Operation: 33-10=23
Exploring Operation: 33-7=26, Resulting Numbers: [10, 26]
Generated Node #0,2,2: 24:[10, 26] Operation: 33-7=26
Moving to Node #0,1
Current State: 24:[7, 2, 56], Operations: ['66-10=56']
Exploring Operation: 56-7=49, Resulting Numbers: [2, 49]
Generated Node #0,1,0: 24:[2, 49] Operation: 56-7=49
Exploring Operation: 56/2=28, Resulting Numbers: [7, 28]
Generated Node #0,1,1: 24:[7, 28] Operation: 56/2=28
Exploring Operation: 56/7=8, Resulting Numbers: [2, 8]
Generated Node #0,1,2: 24:[2, 8] Operation: 56/7=8
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 24:[2, 8], Operations: ['66-10=56', '56/7=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[7, 28], Operations: ['66-10=56', '56/2=28']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,24 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[2, 49], Operations: ['66-10=56', '56-7=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,24 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,24 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: 24:[2, 10, 59], Operations: ['66-7=59']
Exploring Operation: 59-10=49, Resulting Numbers: [2, 49]
Generated Node #0,0,0: 24:[2, 49] Operation: 59-10=49
Exploring Operation: 2+10=12, Resulting Numbers: [59, 12]
Generated Node #0,0,1: 24:[59, 12] Operation: 2+10=12
Exploring Operation: 10-2=8, Resulting Numbers: [59, 8]
Generated Node #0,0,2: 24:[59, 8] Operation: 10-2=8
Moving to Node #0,2,1
Current State: 24:[7, 23], Operations: ['66/2=33', '33-10=23']
Exploring Operation: 7*23=161, Resulting Numbers: [161]
161,24 unequal: No Solution
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[10, 26], Operations: ['66/2=33', '33-7=26']
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Exploring Operation: 10*26=260, Resulting Numbers: [260]
260,24 unequal: No Solution
Moving to Node #0,2,0
Current State: 24:[33, 3], Operations: ['66/2=33', '10-7=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[2, 49], Operations: ['66-7=59', '59-10=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[59, 8], Operations: ['66-7=59', '10-2=8']
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,24 unequal: No Solution
Exploring Operation: 59*8=472, Resulting Numbers: [472]
472,24 unequal: No Solution
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[59, 12], Operations: ['66-7=59', '2+10=12']
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 59+12=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Exploring Operation: 59*12=708, Resulting Numbers: [708]
708,24 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
64,
57,
83,
44
] | 32 | [
"64-57=7",
"83-44=39",
"39-7=32"
] | Current State: 32:[64, 57, 83, 44], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [83, 44, 7]
Generated Node #2: [83, 44, 7] from Operation: 64-57=7
Current State: 32:[83, 44, 7], Operations: ['64-57=7']
Exploring Operation: 83-44=39, Resulting Numbers: [7, 39]
Generated Node #3: [7, 39] from Operation: 83-44=39
Current State: 32:[7, 39], Operations: ['64-57=7', '83-44=39']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[64, 57, 83, 44], Operations: []
Exploring Operation: 83-64=19, Resulting Numbers: [57, 44, 19]
Generated Node #0,0: 32:[57, 44, 19] Operation: 83-64=19
Exploring Operation: 83-44=39, Resulting Numbers: [64, 57, 39]
Generated Node #0,1: 32:[64, 57, 39] Operation: 83-44=39
Exploring Operation: 83-57=26, Resulting Numbers: [64, 44, 26]
Generated Node #0,2: 32:[64, 44, 26] Operation: 83-57=26
Exploring Operation: 64-57=7, Resulting Numbers: [83, 44, 7]
Generated Node #0,3: 32:[83, 44, 7] Operation: 64-57=7
Exploring Operation: 64-44=20, Resulting Numbers: [57, 83, 20]
Generated Node #0,4: 32:[57, 83, 20] Operation: 64-44=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[57, 44, 19], Operations: ['83-64=19']
Exploring Operation: 57-19=38, Resulting Numbers: [44, 38]
Generated Node #0,0,0: 32:[44, 38] Operation: 57-19=38
Exploring Operation: 57-44=13, Resulting Numbers: [19, 13]
Generated Node #0,0,1: 32:[19, 13] Operation: 57-44=13
Exploring Operation: 44-19=25, Resulting Numbers: [57, 25]
Generated Node #0,0,2: 32:[57, 25] Operation: 44-19=25
Exploring Operation: 57/19=3, Resulting Numbers: [44, 3]
Generated Node #0,0,3: 32:[44, 3] Operation: 57/19=3
Exploring Operation: 57+19=76, Resulting Numbers: [44, 76]
Generated Node #0,0,4: 32:[44, 76] Operation: 57+19=76
Moving to Node #0,0,1
Current State: 32:[19, 13], Operations: ['83-64=19', '57-44=13']
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,32 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[64, 57, 83, 44], Operations: []
Exploring Operation: 83-64=19, Resulting Numbers: [57, 44, 19]
Generated Node #0,0: 32:[57, 44, 19] Operation: 83-64=19
Moving to Node #0,0
Current State: 32:[57, 44, 19], Operations: ['83-64=19']
Exploring Operation: 57-44=13, Resulting Numbers: [19, 13]
Generated Node #0,0,1: 32:[19, 13] Operation: 57-44=13
Moving to Node #0,0,1
Current State: 32:[19, 13], Operations: ['83-64=19', '57-44=13']
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
12,
65,
98,
99
] | 53 | [
"65-12=53",
"99-98=1",
"53*1=53"
] | Current State: 53:[12, 65, 98, 99], Operations: []
Exploring Operation: 65-12=53, Resulting Numbers: [98, 99, 53]
Generated Node #2: [98, 99, 53] from Operation: 65-12=53
Current State: 53:[98, 99, 53], Operations: ['65-12=53']
Exploring Operation: 99-98=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 99-98=1
Current State: 53:[53, 1], Operations: ['65-12=53', '99-98=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[12, 65, 98, 99], Operations: []
Exploring Operation: 65-12=53, Resulting Numbers: [98, 99, 53]
Generated Node #0,0: 53:[98, 99, 53] Operation: 65-12=53
Exploring Operation: 99-12=87, Resulting Numbers: [65, 98, 87]
Generated Node #0,1: 53:[65, 98, 87] Operation: 99-12=87
Exploring Operation: 98-12=86, Resulting Numbers: [65, 99, 86]
Generated Node #0,2: 53:[65, 99, 86] Operation: 98-12=86
Moving to Node #0,0
Current State: 53:[98, 99, 53], Operations: ['65-12=53']
Exploring Operation: 99-53=46, Resulting Numbers: [98, 46]
Generated Node #0,0,0: 53:[98, 46] Operation: 99-53=46
Exploring Operation: 98-53=45, Resulting Numbers: [99, 45]
Generated Node #0,0,1: 53:[99, 45] Operation: 98-53=45
Exploring Operation: 99-98=1, Resulting Numbers: [53, 1]
Generated Node #0,0,2: 53:[53, 1] Operation: 99-98=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[98, 46], Operations: ['65-12=53', '99-53=46']
Exploring Operation: 98+46=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Exploring Operation: 98-46=52, Resulting Numbers: [52]
52,53 unequal: No Solution
Exploring Operation: 98*46=4508, Resulting Numbers: [4508]
4508,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[53, 1], Operations: ['65-12=53', '99-98=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[12, 65, 98, 99], Operations: []
Exploring Operation: 65-12=53, Resulting Numbers: [98, 99, 53]
Generated Node #0,0: 53:[98, 99, 53] Operation: 65-12=53
Moving to Node #0,0
Current State: 53:[98, 99, 53], Operations: ['65-12=53']
Exploring Operation: 99-98=1, Resulting Numbers: [53, 1]
Generated Node #0,0,2: 53:[53, 1] Operation: 99-98=1
Moving to Node #0,0,2
Current State: 53:[53, 1], Operations: ['65-12=53', '99-98=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
6,
12,
89,
86
] | 90 | [
"12+89=101",
"101-86=15",
"6*15=90"
] | Current State: 90:[6, 12, 89, 86], Operations: []
Exploring Operation: 12+89=101, Resulting Numbers: [6, 86, 101]
Generated Node #2: [6, 86, 101] from Operation: 12+89=101
Current State: 90:[6, 86, 101], Operations: ['12+89=101']
Exploring Operation: 101-86=15, Resulting Numbers: [6, 15]
Generated Node #3: [6, 15] from Operation: 101-86=15
Current State: 90:[6, 15], Operations: ['12+89=101', '101-86=15']
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[6, 12, 89, 86], Operations: []
Exploring Operation: 6+12=18, Resulting Numbers: [89, 86, 18]
Generated Node #0,0: 90:[89, 86, 18] Operation: 6+12=18
Exploring Operation: 89-86=3, Resulting Numbers: [6, 12, 3]
Generated Node #0,1: 90:[6, 12, 3] Operation: 89-86=3
Moving to Node #0,1
Current State: 90:[6, 12, 3], Operations: ['89-86=3']
Exploring Operation: 6+12=18, Resulting Numbers: [3, 18]
Generated Node #0,1,0: 90:[3, 18] Operation: 6+12=18
Exploring Operation: 12-6=6, Resulting Numbers: [3, 6]
Generated Node #0,1,1: 90:[3, 6] Operation: 12-6=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[3, 18], Operations: ['89-86=3', '6+12=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,90 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,90 unequal: No Solution
No solution 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:[3, 6], Operations: ['89-86=3', '12-6=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,90 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: 90:[89, 86, 18], Operations: ['6+12=18']
Exploring Operation: 86+18=104, Resulting Numbers: [89, 104]
Generated Node #0,0,0: 90:[89, 104] Operation: 86+18=104
Exploring Operation: 89-86=3, Resulting Numbers: [18, 3]
Generated Node #0,0,1: 90:[18, 3] Operation: 89-86=3
Moving to Node #0,0,1
Current State: 90:[18, 3], Operations: ['6+12=18', '89-86=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,90 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[89, 104], Operations: ['6+12=18', '86+18=104']
Exploring Operation: 89+104=193, Resulting Numbers: [193]
193,90 unequal: No Solution
Exploring Operation: 104-89=15, Resulting Numbers: [15]
15,90 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
33,
5,
32,
19
] | 90 | [
"33-32=1",
"19-1=18",
"5*18=90"
] | Current State: 90:[33, 5, 32, 19], Operations: []
Exploring Operation: 33-32=1, Resulting Numbers: [5, 19, 1]
Generated Node #2: [5, 19, 1] from Operation: 33-32=1
Current State: 90:[5, 19, 1], Operations: ['33-32=1']
Exploring Operation: 19-1=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 19-1=18
Current State: 90:[5, 18], Operations: ['33-32=1', '19-1=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[33, 5, 32, 19], Operations: []
Exploring Operation: 33-32=1, Resulting Numbers: [5, 19, 1]
Generated Node #0,0: 90:[5, 19, 1] Operation: 33-32=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[5, 19, 1], Operations: ['33-32=1']
Exploring Operation: 19-1=18, Resulting Numbers: [5, 18]
Generated Node #0,0,0: 90:[5, 18] Operation: 19-1=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[5, 18], Operations: ['33-32=1', '19-1=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[33, 5, 32, 19], Operations: []
Exploring Operation: 33-32=1, Resulting Numbers: [5, 19, 1]
Generated Node #0,0: 90:[5, 19, 1] Operation: 33-32=1
Moving to Node #0,0
Current State: 90:[5, 19, 1], Operations: ['33-32=1']
Exploring Operation: 19-1=18, Resulting Numbers: [5, 18]
Generated Node #0,0,0: 90:[5, 18] Operation: 19-1=18
Moving to Node #0,0,0
Current State: 90:[5, 18], Operations: ['33-32=1', '19-1=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
24,
97,
12,
40
] | 59 | [
"24/12=2",
"97-40=57",
"2+57=59"
] | Current State: 59:[24, 97, 12, 40], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [97, 40, 2]
Generated Node #2: [97, 40, 2] from Operation: 24/12=2
Current State: 59:[97, 40, 2], Operations: ['24/12=2']
Exploring Operation: 97-40=57, Resulting Numbers: [2, 57]
Generated Node #3: [2, 57] from Operation: 97-40=57
Current State: 59:[2, 57], Operations: ['24/12=2', '97-40=57']
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[24, 97, 12, 40], Operations: []
Exploring Operation: 24+12=36, Resulting Numbers: [97, 40, 36]
Generated Node #0,0: 59:[97, 40, 36] Operation: 24+12=36
Exploring Operation: 97-12=85, Resulting Numbers: [24, 40, 85]
Generated Node #0,1: 59:[24, 40, 85] Operation: 97-12=85
Exploring Operation: 97-24=73, Resulting Numbers: [12, 40, 73]
Generated Node #0,2: 59:[12, 40, 73] Operation: 97-24=73
Moving to Node #0,0
Current State: 59:[97, 40, 36], Operations: ['24+12=36']
Exploring Operation: 97-36=61, Resulting Numbers: [40, 61]
Generated Node #0,0,0: 59:[40, 61] Operation: 97-36=61
Exploring Operation: 97-40=57, Resulting Numbers: [36, 57]
Generated Node #0,0,1: 59:[36, 57] Operation: 97-40=57
Exploring Operation: 40+36=76, Resulting Numbers: [97, 76]
Generated Node #0,0,2: 59:[97, 76] Operation: 40+36=76
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[40, 61], Operations: ['24+12=36', '97-36=61']
Exploring Operation: 40*61=2440, Resulting Numbers: [2440]
2440,59 unequal: No Solution
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 40+61=101, Resulting Numbers: [101]
101,59 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:[36, 57], Operations: ['24+12=36', '97-40=57']
Exploring Operation: 36+57=93, Resulting Numbers: [93]
93,59 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 36*57=2052, Resulting Numbers: [2052]
2052,59 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 #0,0,2
Current State: 59:[97, 76], Operations: ['24+12=36', '40+36=76']
Exploring Operation: 97-76=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 97*76=7372, Resulting Numbers: [7372]
7372,59 unequal: No Solution
Exploring Operation: 97+76=173, Resulting Numbers: [173]
173,59 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:[24, 40, 85], Operations: ['97-12=85']
Exploring Operation: 85-40=45, Resulting Numbers: [24, 45]
Generated Node #0,1,0: 59:[24, 45] Operation: 85-40=45
Exploring Operation: 85-24=61, Resulting Numbers: [40, 61]
Generated Node #0,1,1: 59:[40, 61] Operation: 85-24=61
Exploring Operation: 24+40=64, Resulting Numbers: [85, 64]
Generated Node #0,1,2: 59:[85, 64] Operation: 24+40=64
Moving to Node #0,2
Current State: 59:[12, 40, 73], Operations: ['97-24=73']
Exploring Operation: 40-12=28, Resulting Numbers: [73, 28]
Generated Node #0,2,0: 59:[73, 28] Operation: 40-12=28
Exploring Operation: 73-12=61, Resulting Numbers: [40, 61]
Generated Node #0,2,1: 59:[40, 61] Operation: 73-12=61
Exploring Operation: 12+40=52, Resulting Numbers: [73, 52]
Generated Node #0,2,2: 59:[73, 52] Operation: 12+40=52
Moving to Node #0,1,1
Current State: 59:[40, 61], Operations: ['97-12=85', '85-24=61']
Exploring Operation: 40*61=2440, Resulting Numbers: [2440]
2440,59 unequal: No Solution
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 40+61=101, Resulting Numbers: [101]
101,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[40, 61], Operations: ['97-24=73', '73-12=61']
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 40+61=101, Resulting Numbers: [101]
101,59 unequal: No Solution
Exploring Operation: 40*61=2440, Resulting Numbers: [2440]
2440,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[73, 52], Operations: ['97-24=73', '12+40=52']
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 73*52=3796, Resulting Numbers: [3796]
3796,59 unequal: No Solution
Exploring Operation: 73+52=125, Resulting Numbers: [125]
125,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[85, 64], Operations: ['97-12=85', '24+40=64']
Exploring Operation: 85*64=5440, Resulting Numbers: [5440]
5440,59 unequal: No Solution
Exploring Operation: 85+64=149, Resulting Numbers: [149]
149,59 unequal: No Solution
Exploring Operation: 85-64=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[73, 28], Operations: ['97-24=73', '40-12=28']
Exploring Operation: 73*28=2044, Resulting Numbers: [2044]
2044,59 unequal: No Solution
Exploring Operation: 73+28=101, Resulting Numbers: [101]
101,59 unequal: No Solution
Exploring Operation: 73-28=45, Resulting Numbers: [45]
45,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[24, 45], Operations: ['97-12=85', '85-40=45']
Exploring Operation: 24*45=1080, Resulting Numbers: [1080]
1080,59 unequal: No Solution
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 24+45=69, Resulting Numbers: [69]
69,59 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
47,
94,
13,
52
] | 29 | [
"52-47=5",
"13*5=65",
"94-65=29"
] | Current State: 29:[47, 94, 13, 52], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [94, 13, 5]
Generated Node #2: [94, 13, 5] from Operation: 52-47=5
Current State: 29:[94, 13, 5], Operations: ['52-47=5']
Exploring Operation: 13*5=65, Resulting Numbers: [94, 65]
Generated Node #3: [94, 65] from Operation: 13*5=65
Current State: 29:[94, 65], Operations: ['52-47=5', '13*5=65']
Exploring Operation: 94-65=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[47, 94, 13, 52], Operations: []
Exploring Operation: 94-13=81, Resulting Numbers: [47, 52, 81]
Generated Node #0,0: 29:[47, 52, 81] Operation: 94-13=81
Exploring Operation: 47-13=34, Resulting Numbers: [94, 52, 34]
Generated Node #0,1: 29:[94, 52, 34] Operation: 47-13=34
Exploring Operation: 94/47=2, Resulting Numbers: [13, 52, 2]
Generated Node #0,2: 29:[13, 52, 2] Operation: 94/47=2
Exploring Operation: 94-52=42, Resulting Numbers: [47, 13, 42]
Generated Node #0,3: 29:[47, 13, 42] Operation: 94-52=42
Exploring Operation: 94-47=47, Resulting Numbers: [13, 52, 47]
Generated Node #0,4: 29:[13, 52, 47] Operation: 94-47=47
Start Sub Search at level 1: Moving to Node #0,3
Current State: 29:[47, 13, 42], Operations: ['94-52=42']
Exploring Operation: 47-42=5, Resulting Numbers: [13, 5]
Generated Node #0,3,0: 29:[13, 5] Operation: 47-42=5
Exploring Operation: 13+42=55, Resulting Numbers: [47, 55]
Generated Node #0,3,1: 29:[47, 55] Operation: 13+42=55
Exploring Operation: 42-13=29, Resulting Numbers: [47, 29]
Generated Node #0,3,2: 29:[47, 29] Operation: 42-13=29
Exploring Operation: 47-13=34, Resulting Numbers: [42, 34]
Generated Node #0,3,3: 29:[42, 34] Operation: 47-13=34
Exploring Operation: 47+13=60, Resulting Numbers: [42, 60]
Generated Node #0,3,4: 29:[42, 60] Operation: 47+13=60
Moving to Node #0,3,2
Current State: 29:[47, 29], Operations: ['94-52=42', '42-13=29']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 47*29=1363, Resulting Numbers: [1363]
1363,29 unequal: No Solution
Exploring Operation: 47+29=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Moving to Node #0,3,3
Current State: 29:[42, 34], Operations: ['94-52=42', '47-13=34']
Exploring Operation: 42-34=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 42+34=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 42*34=1428, Resulting Numbers: [1428]
1428,29 unequal: No Solution
Moving to Node #0,3,0
Current State: 29:[13, 5], Operations: ['94-52=42', '47-42=5']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,29 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Moving to Node #0,3,1
Current State: 29:[47, 55], Operations: ['94-52=42', '13+42=55']
Exploring Operation: 47+55=102, Resulting Numbers: [102]
102,29 unequal: No Solution
Exploring Operation: 55-47=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 47*55=2585, Resulting Numbers: [2585]
2585,29 unequal: No Solution
Moving to Node #0,3,4
Current State: 29:[42, 60], Operations: ['94-52=42', '47+13=60']
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 42*60=2520, Resulting Numbers: [2520]
2520,29 unequal: No Solution
Exploring Operation: 42+60=102, Resulting Numbers: [102]
102,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 29:[13, 52, 47], Operations: ['94-47=47']
Exploring Operation: 47-13=34, Resulting Numbers: [52, 34]
Generated Node #0,4,0: 29:[52, 34] Operation: 47-13=34
Exploring Operation: 52-13=39, Resulting Numbers: [47, 39]
Generated Node #0,4,1: 29:[47, 39] Operation: 52-13=39
Exploring Operation: 52/13=4, Resulting Numbers: [47, 4]
Generated Node #0,4,2: 29:[47, 4] Operation: 52/13=4
Exploring Operation: 52-47=5, Resulting Numbers: [13, 5]
Generated Node #0,4,3: 29:[13, 5] Operation: 52-47=5
Exploring Operation: 13+52=65, Resulting Numbers: [47, 65]
Generated Node #0,4,4: 29:[47, 65] Operation: 13+52=65
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 29:[52, 34], Operations: ['94-47=47', '47-13=34']
Exploring Operation: 52+34=86, Resulting Numbers: [86]
86,29 unequal: No Solution
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 52*34=1768, Resulting Numbers: [1768]
1768,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 29:[47, 39], Operations: ['94-47=47', '52-13=39']
Exploring Operation: 47*39=1833, Resulting Numbers: [1833]
1833,29 unequal: No Solution
Exploring Operation: 47-39=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 47+39=86, Resulting Numbers: [86]
86,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 29:[13, 5], Operations: ['94-47=47', '52-47=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,29 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 29:[47, 4], Operations: ['94-47=47', '52/13=4']
Exploring Operation: 47*4=188, Resulting Numbers: [188]
188,29 unequal: No Solution
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,29 unequal: No Solution
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 29:[47, 65], Operations: ['94-47=47', '13+52=65']
Exploring Operation: 47+65=112, Resulting Numbers: [112]
112,29 unequal: No Solution
Exploring Operation: 47*65=3055, Resulting Numbers: [3055]
3055,29 unequal: No Solution
Exploring Operation: 65-47=18, Resulting Numbers: [18]
18,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[13, 52, 2], Operations: ['94/47=2']
Exploring Operation: 52-13=39, Resulting Numbers: [2, 39]
Generated Node #0,2,0: 29:[2, 39] Operation: 52-13=39
Exploring Operation: 13+2=15, Resulting Numbers: [52, 15]
Generated Node #0,2,1: 29:[52, 15] Operation: 13+2=15
Exploring Operation: 52/2=26, Resulting Numbers: [13, 26]
Generated Node #0,2,2: 29:[13, 26] Operation: 52/2=26
Exploring Operation: 52-2=50, Resulting Numbers: [13, 50]
Generated Node #0,2,3: 29:[13, 50] Operation: 52-2=50
Exploring Operation: 13*2=26, Resulting Numbers: [52, 26]
Generated Node #0,2,4: 29:[52, 26] Operation: 13*2=26
Moving to Node #0,2,2
Current State: 29:[13, 26], Operations: ['94/47=2', '52/2=26']
Exploring Operation: 13*26=338, Resulting Numbers: [338]
338,29 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 13+26=39, Resulting Numbers: [39]
39,29 unequal: No Solution
Moving to Node #0,2,4
Current State: 29:[52, 26], Operations: ['94/47=2', '13*2=26']
Exploring Operation: 52+26=78, Resulting Numbers: [78]
78,29 unequal: No Solution
Exploring Operation: 52*26=1352, Resulting Numbers: [1352]
1352,29 unequal: No Solution
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[2, 39], Operations: ['94/47=2', '52-13=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,29 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,29 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,29 unequal: No Solution
Moving to Node #0,2,1
Current State: 29:[52, 15], Operations: ['94/47=2', '13+2=15']
Exploring Operation: 52*15=780, Resulting Numbers: [780]
780,29 unequal: No Solution
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,29 unequal: No Solution
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[13, 50], Operations: ['94/47=2', '52-2=50']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,29 unequal: No Solution
Exploring Operation: 13+50=63, Resulting Numbers: [63]
63,29 unequal: No Solution
Exploring Operation: 13*50=650, Resulting Numbers: [650]
650,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[47, 52, 81], Operations: ['94-13=81']
Exploring Operation: 47+52=99, Resulting Numbers: [81, 99]
Generated Node #0,0,0: 29:[81, 99] Operation: 47+52=99
Exploring Operation: 47+81=128, Resulting Numbers: [52, 128]
Generated Node #0,0,1: 29:[52, 128] Operation: 47+81=128
Exploring Operation: 52-47=5, Resulting Numbers: [81, 5]
Generated Node #0,0,2: 29:[81, 5] Operation: 52-47=5
Exploring Operation: 81-47=34, Resulting Numbers: [52, 34]
Generated Node #0,0,3: 29:[52, 34] Operation: 81-47=34
Exploring Operation: 81-52=29, Resulting Numbers: [47, 29]
Generated Node #0,0,4: 29:[47, 29] Operation: 81-52=29
Moving to Node #0,0,4
Current State: 29:[47, 29], Operations: ['94-13=81', '81-52=29']
Exploring Operation: 47*29=1363, Resulting Numbers: [1363]
1363,29 unequal: No Solution
Exploring Operation: 47+29=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Moving to Node #0,0,3
Current State: 29:[52, 34], Operations: ['94-13=81', '81-47=34']
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 52+34=86, Resulting Numbers: [86]
86,29 unequal: No Solution
Exploring Operation: 52*34=1768, Resulting Numbers: [1768]
1768,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[81, 5], Operations: ['94-13=81', '52-47=5']
Exploring Operation: 81+5=86, Resulting Numbers: [86]
86,29 unequal: No Solution
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 81*5=405, Resulting Numbers: [405]
405,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[81, 99], Operations: ['94-13=81', '47+52=99']
Exploring Operation: 99-81=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 81+99=180, Resulting Numbers: [180]
180,29 unequal: No Solution
Exploring Operation: 81*99=8019, Resulting Numbers: [8019]
8019,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[52, 128], Operations: ['94-13=81', '47+81=128']
Exploring Operation: 128-52=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 52+128=180, Resulting Numbers: [180]
180,29 unequal: No Solution
Exploring Operation: 52*128=6656, Resulting Numbers: [6656]
6656,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[94, 52, 34], Operations: ['47-13=34']
Exploring Operation: 52-34=18, Resulting Numbers: [94, 18]
Generated Node #0,1,0: 29:[94, 18] Operation: 52-34=18
Exploring Operation: 94-52=42, Resulting Numbers: [34, 42]
Generated Node #0,1,1: 29:[34, 42] Operation: 94-52=42
Exploring Operation: 94+34=128, Resulting Numbers: [52, 128]
Generated Node #0,1,2: 29:[52, 128] Operation: 94+34=128
Exploring Operation: 94-34=60, Resulting Numbers: [52, 60]
Generated Node #0,1,3: 29:[52, 60] Operation: 94-34=60
Exploring Operation: 94+52=146, Resulting Numbers: [34, 146]
Generated Node #0,1,4: 29:[34, 146] Operation: 94+52=146
Moving to Node #0,1,1
Current State: 29:[34, 42], Operations: ['47-13=34', '94-52=42']
Exploring Operation: 42-34=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 34*42=1428, Resulting Numbers: [1428]
1428,29 unequal: No Solution
Exploring Operation: 34+42=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Moving to Node #0,1,3
Current State: 29:[52, 60], Operations: ['47-13=34', '94-34=60']
Exploring Operation: 52+60=112, Resulting Numbers: [112]
112,29 unequal: No Solution
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 52*60=3120, Resulting Numbers: [3120]
3120,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[94, 18], Operations: ['47-13=34', '52-34=18']
Exploring Operation: 94+18=112, Resulting Numbers: [112]
112,29 unequal: No Solution
Exploring Operation: 94*18=1692, Resulting Numbers: [1692]
1692,29 unequal: No Solution
Exploring Operation: 94-18=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Moving to Node #0,1,2
Current State: 29:[52, 128], Operations: ['47-13=34', '94+34=128']
Exploring Operation: 52+128=180, Resulting Numbers: [180]
180,29 unequal: No Solution
Exploring Operation: 128-52=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 52*128=6656, Resulting Numbers: [6656]
6656,29 unequal: No Solution
Moving to Node #0,1,4
Current State: 29:[34, 146], Operations: ['47-13=34', '94+52=146']
Exploring Operation: 146-34=112, Resulting Numbers: [112]
112,29 unequal: No Solution
Exploring Operation: 34*146=4964, Resulting Numbers: [4964]
4964,29 unequal: No Solution
Exploring Operation: 34+146=180, Resulting Numbers: [180]
180,29 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 |
[
56,
60,
2,
2
] | 90 | [
"56/2=28",
"60+2=62",
"28+62=90"
] | Current State: 90:[56, 60, 2, 2], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [60, 28]
Generated Node #2: [60, 28] from Operation: 56/2=28
Current State: 90:[60, 28], Operations: ['56/2=28']
Exploring Operation: 60+2=62, Resulting Numbers: [28, 62]
Generated Node #3: [28, 62] from Operation: 60+2=62
Current State: 90:[28, 62], Operations: ['56/2=28', '60+2=62']
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[56, 60, 2, 2], Operations: []
Exploring Operation: 60/2=30, Resulting Numbers: [56, 2, 30]
Generated Node #0,0: 90:[56, 2, 30] Operation: 60/2=30
Exploring Operation: 60-56=4, Resulting Numbers: [2, 2, 4]
Generated Node #0,1: 90:[2, 2, 4] Operation: 60-56=4
Exploring Operation: 60/2=30, Resulting Numbers: [56, 2, 30]
Generated Node #0,2: 90:[56, 2, 30] Operation: 60/2=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[2, 2, 4], Operations: ['60-56=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2, 2]
Generated Node #0,1,0: 90:[2, 2] Operation: 4/2=2
Exploring Operation: 4-2=2, Resulting Numbers: [2, 2]
Generated Node #0,1,1: 90:[2, 2] Operation: 4-2=2
Exploring Operation: 2+4=6, Resulting Numbers: [2, 6]
Generated Node #0,1,2: 90:[2, 6] Operation: 2+4=6
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 90:[2, 2], Operations: ['60-56=4', '4/2=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,90 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 #0,1,1
Current State: 90:[2, 2], Operations: ['60-56=4', '4-2=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,90 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 #0,1,2
Current State: 90:[2, 6], Operations: ['60-56=4', '2+4=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,90 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,90 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 #0,0
Current State: 90:[56, 2, 30], Operations: ['60/2=30']
Exploring Operation: 56/2=28, Resulting Numbers: [30, 28]
Generated Node #0,0,0: 90:[30, 28] Operation: 56/2=28
Exploring Operation: 56-30=26, Resulting Numbers: [2, 26]
Generated Node #0,0,1: 90:[2, 26] Operation: 56-30=26
Exploring Operation: 56+30=86, Resulting Numbers: [2, 86]
Generated Node #0,0,2: 90:[2, 86] Operation: 56+30=86
Moving to Node #0,0,0
Current State: 90:[30, 28], Operations: ['60/2=30', '56/2=28']
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 30*28=840, Resulting Numbers: [840]
840,90 unequal: No Solution
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[2, 26], Operations: ['60/2=30', '56-30=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,90 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Moving to Node #0,0,2
Current State: 90:[2, 86], Operations: ['60/2=30', '56+30=86']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,90 unequal: No Solution
Exploring Operation: 2+86=88, Resulting Numbers: [88]
88,90 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,90 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 #0,2
Current State: 90:[56, 2, 30], Operations: ['60/2=30']
Exploring Operation: 56/2=28, Resulting Numbers: [30, 28]
Generated Node #0,2,0: 90:[30, 28] Operation: 56/2=28
Exploring Operation: 56+30=86, Resulting Numbers: [2, 86]
Generated Node #0,2,1: 90:[2, 86] Operation: 56+30=86
Exploring Operation: 56-30=26, Resulting Numbers: [2, 26]
Generated Node #0,2,2: 90:[2, 26] Operation: 56-30=26
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 90:[30, 28], Operations: ['60/2=30', '56/2=28']
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 30*28=840, Resulting Numbers: [840]
840,90 unequal: No Solution
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,90 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 #0,2,1
Current State: 90:[2, 86], Operations: ['60/2=30', '56+30=86']
Exploring Operation: 2+86=88, Resulting Numbers: [88]
88,90 unequal: No Solution
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,90 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,90 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 #0,2,2
Current State: 90:[2, 26], Operations: ['60/2=30', '56-30=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,90 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,90 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_3 | sum_heuristic |
[
69,
92,
2,
95
] | 29 | [
"69+92=161",
"2*95=190",
"190-161=29"
] | Current State: 29:[69, 92, 2, 95], Operations: []
Exploring Operation: 69+92=161, Resulting Numbers: [2, 95, 161]
Generated Node #2: [2, 95, 161] from Operation: 69+92=161
Current State: 29:[2, 95, 161], Operations: ['69+92=161']
Exploring Operation: 2*95=190, Resulting Numbers: [161, 190]
Generated Node #3: [161, 190] from Operation: 2*95=190
Current State: 29:[161, 190], Operations: ['69+92=161', '2*95=190']
Exploring Operation: 190-161=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[69, 92, 2, 95], Operations: []
Exploring Operation: 69-2=67, Resulting Numbers: [92, 95, 67]
Generated Node #0,0: 29:[92, 95, 67] Operation: 69-2=67
Exploring Operation: 95-69=26, Resulting Numbers: [92, 2, 26]
Generated Node #0,1: 29:[92, 2, 26] Operation: 95-69=26
Exploring Operation: 92/2=46, Resulting Numbers: [69, 95, 46]
Generated Node #0,2: 29:[69, 95, 46] Operation: 92/2=46
Exploring Operation: 92-69=23, Resulting Numbers: [2, 95, 23]
Generated Node #0,3: 29:[2, 95, 23] Operation: 92-69=23
Exploring Operation: 95-92=3, Resulting Numbers: [69, 2, 3]
Generated Node #0,4: 29:[69, 2, 3] Operation: 95-92=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[92, 2, 26], Operations: ['95-69=26']
Exploring Operation: 92/2=46, Resulting Numbers: [26, 46]
Generated Node #0,1,0: 29:[26, 46] Operation: 92/2=46
Exploring Operation: 92+2=94, Resulting Numbers: [26, 94]
Generated Node #0,1,1: 29:[26, 94] Operation: 92+2=94
Exploring Operation: 92-2=90, Resulting Numbers: [26, 90]
Generated Node #0,1,2: 29:[26, 90] Operation: 92-2=90
Exploring Operation: 2+26=28, Resulting Numbers: [92, 28]
Generated Node #0,1,3: 29:[92, 28] Operation: 2+26=28
Exploring Operation: 92-26=66, Resulting Numbers: [2, 66]
Generated Node #0,1,4: 29:[2, 66] Operation: 92-26=66
Moving to Node #0,1,0
Current State: 29:[26, 46], Operations: ['95-69=26', '92/2=46']
Exploring Operation: 26+46=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 26*46=1196, Resulting Numbers: [1196]
1196,29 unequal: No Solution
Moving to Node #0,1,3
Current State: 29:[92, 28], Operations: ['95-69=26', '2+26=28']
Exploring Operation: 92-28=64, Resulting Numbers: [64]
64,29 unequal: No Solution
Exploring Operation: 92*28=2576, Resulting Numbers: [2576]
2576,29 unequal: No Solution
Exploring Operation: 92+28=120, Resulting Numbers: [120]
120,29 unequal: No Solution
Moving to Node #0,1,2
Current State: 29:[26, 90], Operations: ['95-69=26', '92-2=90']
Exploring Operation: 26*90=2340, Resulting Numbers: [2340]
2340,29 unequal: No Solution
Exploring Operation: 26+90=116, Resulting Numbers: [116]
116,29 unequal: No Solution
Exploring Operation: 90-26=64, Resulting Numbers: [64]
64,29 unequal: No Solution
Moving to Node #0,1,4
Current State: 29:[2, 66], Operations: ['95-69=26', '92-26=66']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,29 unequal: No Solution
Exploring Operation: 2+66=68, Resulting Numbers: [68]
68,29 unequal: No Solution
Exploring Operation: 2*66=132, Resulting Numbers: [132]
132,29 unequal: No Solution
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[26, 94], Operations: ['95-69=26', '92+2=94']
Exploring Operation: 26*94=2444, Resulting Numbers: [2444]
2444,29 unequal: No Solution
Exploring Operation: 26+94=120, Resulting Numbers: [120]
120,29 unequal: No Solution
Exploring Operation: 94-26=68, Resulting Numbers: [68]
68,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 29:[69, 2, 3], Operations: ['95-92=3']
Exploring Operation: 69/3=23, Resulting Numbers: [2, 23]
Generated Node #0,4,0: 29:[2, 23] Operation: 69/3=23
Exploring Operation: 2+3=5, Resulting Numbers: [69, 5]
Generated Node #0,4,1: 29:[69, 5] Operation: 2+3=5
Exploring Operation: 69-2=67, Resulting Numbers: [3, 67]
Generated Node #0,4,2: 29:[3, 67] Operation: 69-2=67
Exploring Operation: 2*3=6, Resulting Numbers: [69, 6]
Generated Node #0,4,3: 29:[69, 6] Operation: 2*3=6
Exploring Operation: 69-3=66, Resulting Numbers: [2, 66]
Generated Node #0,4,4: 29:[2, 66] Operation: 69-3=66
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 29:[2, 23], Operations: ['95-92=3', '69/3=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,29 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 29:[69, 6], Operations: ['95-92=3', '2*3=6']
Exploring Operation: 69*6=414, Resulting Numbers: [414]
414,29 unequal: No Solution
Exploring Operation: 69+6=75, Resulting Numbers: [75]
75,29 unequal: No Solution
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 29:[69, 5], Operations: ['95-92=3', '2+3=5']
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,29 unequal: No Solution
Exploring Operation: 69*5=345, Resulting Numbers: [345]
345,29 unequal: No Solution
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 29:[3, 67], Operations: ['95-92=3', '69-2=67']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,29 unequal: No Solution
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 3*67=201, Resulting Numbers: [201]
201,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 29:[2, 66], Operations: ['95-92=3', '69-3=66']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,29 unequal: No Solution
Exploring Operation: 2+66=68, Resulting Numbers: [68]
68,29 unequal: No Solution
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,29 unequal: No Solution
Exploring Operation: 2*66=132, Resulting Numbers: [132]
132,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 29:[2, 95, 23], Operations: ['92-69=23']
Exploring Operation: 23-2=21, Resulting Numbers: [95, 21]
Generated Node #0,3,0: 29:[95, 21] Operation: 23-2=21
Exploring Operation: 2+23=25, Resulting Numbers: [95, 25]
Generated Node #0,3,1: 29:[95, 25] Operation: 2+23=25
Exploring Operation: 2+95=97, Resulting Numbers: [23, 97]
Generated Node #0,3,2: 29:[23, 97] Operation: 2+95=97
Exploring Operation: 95-2=93, Resulting Numbers: [23, 93]
Generated Node #0,3,3: 29:[23, 93] Operation: 95-2=93
Exploring Operation: 95-23=72, Resulting Numbers: [2, 72]
Generated Node #0,3,4: 29:[2, 72] Operation: 95-23=72
Moving to Node #0,3,1
Current State: 29:[95, 25], Operations: ['92-69=23', '2+23=25']
Exploring Operation: 95+25=120, Resulting Numbers: [120]
120,29 unequal: No Solution
Exploring Operation: 95-25=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 95*25=2375, Resulting Numbers: [2375]
2375,29 unequal: No Solution
Moving to Node #0,3,4
Current State: 29:[2, 72], Operations: ['92-69=23', '95-23=72']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 2*72=144, Resulting Numbers: [144]
144,29 unequal: No Solution
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Moving to Node #0,3,3
Current State: 29:[23, 93], Operations: ['92-69=23', '95-2=93']
Exploring Operation: 23+93=116, Resulting Numbers: [116]
116,29 unequal: No Solution
Exploring Operation: 93-23=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 23*93=2139, Resulting Numbers: [2139]
2139,29 unequal: No Solution
Moving to Node #0,3,0
Current State: 29:[95, 21], Operations: ['92-69=23', '23-2=21']
Exploring Operation: 95+21=116, Resulting Numbers: [116]
116,29 unequal: No Solution
Exploring Operation: 95-21=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Exploring Operation: 95*21=1995, Resulting Numbers: [1995]
1995,29 unequal: No Solution
Moving to Node #0,3,2
Current State: 29:[23, 97], Operations: ['92-69=23', '2+95=97']
Exploring Operation: 23+97=120, Resulting Numbers: [120]
120,29 unequal: No Solution
Exploring Operation: 23*97=2231, Resulting Numbers: [2231]
2231,29 unequal: No Solution
Exploring Operation: 97-23=74, Resulting Numbers: [74]
74,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[69, 95, 46], Operations: ['92/2=46']
Exploring Operation: 69-46=23, Resulting Numbers: [95, 23]
Generated Node #0,2,0: 29:[95, 23] Operation: 69-46=23
Exploring Operation: 95-69=26, Resulting Numbers: [46, 26]
Generated Node #0,2,1: 29:[46, 26] Operation: 95-69=26
Exploring Operation: 95-46=49, Resulting Numbers: [69, 49]
Generated Node #0,2,2: 29:[69, 49] Operation: 95-46=49
Exploring Operation: 69+46=115, Resulting Numbers: [95, 115]
Generated Node #0,2,3: 29:[95, 115] Operation: 69+46=115
Exploring Operation: 69+95=164, Resulting Numbers: [46, 164]
Generated Node #0,2,4: 29:[46, 164] Operation: 69+95=164
Moving to Node #0,2,1
Current State: 29:[46, 26], Operations: ['92/2=46', '95-69=26']
Exploring Operation: 46+26=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 46*26=1196, Resulting Numbers: [1196]
1196,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[69, 49], Operations: ['92/2=46', '95-46=49']
Exploring Operation: 69*49=3381, Resulting Numbers: [3381]
3381,29 unequal: No Solution
Exploring Operation: 69+49=118, Resulting Numbers: [118]
118,29 unequal: No Solution
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[95, 23], Operations: ['92/2=46', '69-46=23']
Exploring Operation: 95-23=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 95*23=2185, Resulting Numbers: [2185]
2185,29 unequal: No Solution
Exploring Operation: 95+23=118, Resulting Numbers: [118]
118,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[95, 115], Operations: ['92/2=46', '69+46=115']
Exploring Operation: 95+115=210, Resulting Numbers: [210]
210,29 unequal: No Solution
Exploring Operation: 115-95=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 95*115=10925, Resulting Numbers: [10925]
10925,29 unequal: No Solution
Moving to Node #0,2,4
Current State: 29:[46, 164], Operations: ['92/2=46', '69+95=164']
Exploring Operation: 164-46=118, Resulting Numbers: [118]
118,29 unequal: No Solution
Exploring Operation: 46*164=7544, Resulting Numbers: [7544]
7544,29 unequal: No Solution
Exploring Operation: 46+164=210, Resulting Numbers: [210]
210,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[92, 95, 67], Operations: ['69-2=67']
Exploring Operation: 95-67=28, Resulting Numbers: [92, 28]
Generated Node #0,0,0: 29:[92, 28] Operation: 95-67=28
Exploring Operation: 92-67=25, Resulting Numbers: [95, 25]
Generated Node #0,0,1: 29:[95, 25] Operation: 92-67=25
Exploring Operation: 95-92=3, Resulting Numbers: [67, 3]
Generated Node #0,0,2: 29:[67, 3] Operation: 95-92=3
Exploring Operation: 92+67=159, Resulting Numbers: [95, 159]
Generated Node #0,0,3: 29:[95, 159] Operation: 92+67=159
Exploring Operation: 92+95=187, Resulting Numbers: [67, 187]
Generated Node #0,0,4: 29:[67, 187] Operation: 92+95=187
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 29:[92, 28], Operations: ['69-2=67', '95-67=28']
Exploring Operation: 92-28=64, Resulting Numbers: [64]
64,29 unequal: No Solution
Exploring Operation: 92+28=120, Resulting Numbers: [120]
120,29 unequal: No Solution
Exploring Operation: 92*28=2576, Resulting Numbers: [2576]
2576,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 29:[67, 3], Operations: ['69-2=67', '95-92=3']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,29 unequal: No Solution
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 67*3=201, Resulting Numbers: [201]
201,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 29:[95, 25], Operations: ['69-2=67', '92-67=25']
Exploring Operation: 95-25=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 95+25=120, Resulting Numbers: [120]
120,29 unequal: No Solution
Exploring Operation: 95*25=2375, Resulting Numbers: [2375]
2375,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 29:[95, 159], Operations: ['69-2=67', '92+67=159']
Exploring Operation: 95*159=15105, Resulting Numbers: [15105]
15105,29 unequal: No Solution
Exploring Operation: 159-95=64, Resulting Numbers: [64]
64,29 unequal: No Solution
Exploring Operation: 95+159=254, Resulting Numbers: [254]
254,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 29:[67, 187], Operations: ['69-2=67', '92+95=187']
Exploring Operation: 187-67=120, Resulting Numbers: [120]
120,29 unequal: No Solution
Exploring Operation: 67*187=12529, Resulting Numbers: [12529]
12529,29 unequal: No Solution
Exploring Operation: 67+187=254, Resulting Numbers: [254]
254,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
41,
46,
7,
82
] | 51 | [
"82/41=2",
"46+7=53",
"53-2=51"
] | Current State: 51:[41, 46, 7, 82], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [46, 7, 2]
Generated Node #2: [46, 7, 2] from Operation: 82/41=2
Current State: 51:[46, 7, 2], Operations: ['82/41=2']
Exploring Operation: 46+7=53, Resulting Numbers: [2, 53]
Generated Node #3: [2, 53] from Operation: 46+7=53
Current State: 51:[2, 53], Operations: ['82/41=2', '46+7=53']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[41, 46, 7, 82], Operations: []
Exploring Operation: 82-46=36, Resulting Numbers: [41, 7, 36]
Generated Node #0,0: 51:[41, 7, 36] Operation: 82-46=36
Exploring Operation: 41+7=48, Resulting Numbers: [46, 82, 48]
Generated Node #0,1: 51:[46, 82, 48] Operation: 41+7=48
Exploring Operation: 82/41=2, Resulting Numbers: [46, 7, 2]
Generated Node #0,2: 51:[46, 7, 2] Operation: 82/41=2
Exploring Operation: 82-41=41, Resulting Numbers: [46, 7, 41]
Generated Node #0,3: 51:[46, 7, 41] Operation: 82-41=41
Exploring Operation: 46-41=5, Resulting Numbers: [7, 82, 5]
Generated Node #0,4: 51:[7, 82, 5] Operation: 46-41=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[46, 7, 2], Operations: ['82/41=2']
Exploring Operation: 46/2=23, Resulting Numbers: [7, 23]
Generated Node #0,2,0: 51:[7, 23] Operation: 46/2=23
Exploring Operation: 7*2=14, Resulting Numbers: [46, 14]
Generated Node #0,2,1: 51:[46, 14] Operation: 7*2=14
Exploring Operation: 7-2=5, Resulting Numbers: [46, 5]
Generated Node #0,2,2: 51:[46, 5] Operation: 7-2=5
Exploring Operation: 46+7=53, Resulting Numbers: [2, 53]
Generated Node #0,2,3: 51:[2, 53] Operation: 46+7=53
Exploring Operation: 46+2=48, Resulting Numbers: [7, 48]
Generated Node #0,2,4: 51:[7, 48] Operation: 46+2=48
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 51:[2, 53], Operations: ['82/41=2', '46+7=53']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[41, 46, 7, 82], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [46, 7, 2]
Generated Node #0,2: 51:[46, 7, 2] Operation: 82/41=2
Moving to Node #0,2
Current State: 51:[46, 7, 2], Operations: ['82/41=2']
Exploring Operation: 46+7=53, Resulting Numbers: [2, 53]
Generated Node #0,2,3: 51:[2, 53] Operation: 46+7=53
Moving to Node #0,2,3
Current State: 51:[2, 53], Operations: ['82/41=2', '46+7=53']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
75,
2,
77,
57
] | 97 | [
"75+2=77",
"77-57=20",
"77+20=97"
] | Current State: 97:[75, 2, 77, 57], Operations: []
Exploring Operation: 75+2=77, Resulting Numbers: [77, 57, 77]
Generated Node #2: [77, 57, 77] from Operation: 75+2=77
Current State: 97:[77, 57, 77], Operations: ['75+2=77']
Exploring Operation: 77-57=20, Resulting Numbers: [20]
20,97 equal: Goal Reached
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[75, 2, 77, 57], Operations: []
Exploring Operation: 2*57=114, Resulting Numbers: [75, 77, 114]
Generated Node #0,0: 97:[75, 77, 114] Operation: 2*57=114
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[75, 77, 114], Operations: ['2*57=114']
Exploring Operation: 75+77=152, Resulting Numbers: [114, 152]
Generated Node #0,0,0: 97:[114, 152] Operation: 75+77=152
Moving to Node #0,0,0
Current State: 97:[114, 152], Operations: ['2*57=114', '75+77=152']
Exploring Operation: 152-114=38, Resulting Numbers: [38]
38,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
6,
23,
63,
70
] | 96 | [
"23+63=86",
"86-70=16",
"6*16=96"
] | Current State: 96:[6, 23, 63, 70], Operations: []
Exploring Operation: 23+63=86, Resulting Numbers: [6, 70, 86]
Generated Node #2: [6, 70, 86] from Operation: 23+63=86
Current State: 96:[6, 70, 86], Operations: ['23+63=86']
Exploring Operation: 86-70=16, Resulting Numbers: [6, 16]
Generated Node #3: [6, 16] from Operation: 86-70=16
Current State: 96:[6, 16], Operations: ['23+63=86', '86-70=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[6, 23, 63, 70], Operations: []
Exploring Operation: 70-63=7, Resulting Numbers: [6, 23, 7]
Generated Node #0,0: 96:[6, 23, 7] Operation: 70-63=7
Moving to Node #0,0
Current State: 96:[6, 23, 7], Operations: ['70-63=7']
Exploring Operation: 23-7=16, Resulting Numbers: [6, 16]
Generated Node #0,0,0: 96:[6, 16] Operation: 23-7=16
Moving to Node #0,0,0
Current State: 96:[6, 16], Operations: ['70-63=7', '23-7=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[6, 23, 63, 70], Operations: []
Exploring Operation: 70-63=7, Resulting Numbers: [6, 23, 7]
Generated Node #0,0: 96:[6, 23, 7] Operation: 70-63=7
Moving to Node #0,0
Current State: 96:[6, 23, 7], Operations: ['70-63=7']
Exploring Operation: 23-7=16, Resulting Numbers: [6, 16]
Generated Node #0,0,0: 96:[6, 16] Operation: 23-7=16
Moving to Node #0,0,0
Current State: 96:[6, 16], Operations: ['70-63=7', '23-7=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
34,
81,
51,
48
] | 49 | [
"34*48=1632",
"1632/51=32",
"81-32=49"
] | Current State: 49:[34, 81, 51, 48], Operations: []
Exploring Operation: 34*48=1632, Resulting Numbers: [81, 51, 1632]
Generated Node #2: [81, 51, 1632] from Operation: 34*48=1632
Current State: 49:[81, 51, 1632], Operations: ['34*48=1632']
Exploring Operation: 1632/51=32, Resulting Numbers: [81, 32]
Generated Node #3: [81, 32] from Operation: 1632/51=32
Current State: 49:[81, 32], Operations: ['34*48=1632', '1632/51=32']
Exploring Operation: 81-32=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[34, 81, 51, 48], Operations: []
Exploring Operation: 81-34=47, Resulting Numbers: [51, 48, 47]
Generated Node #0,0: 49:[51, 48, 47] Operation: 81-34=47
Exploring Operation: 81-48=33, Resulting Numbers: [34, 51, 33]
Generated Node #0,1: 49:[34, 51, 33] Operation: 81-48=33
Exploring Operation: 81-51=30, Resulting Numbers: [34, 48, 30]
Generated Node #0,2: 49:[34, 48, 30] Operation: 81-51=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[51, 48, 47], Operations: ['81-34=47']
Exploring Operation: 51-47=4, Resulting Numbers: [48, 4]
Generated Node #0,0,0: 49:[48, 4] Operation: 51-47=4
Exploring Operation: 51-48=3, Resulting Numbers: [47, 3]
Generated Node #0,0,1: 49:[47, 3] Operation: 51-48=3
Exploring Operation: 48-47=1, Resulting Numbers: [51, 1]
Generated Node #0,0,2: 49:[51, 1] Operation: 48-47=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[48, 4], Operations: ['81-34=47', '51-47=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[47, 3], Operations: ['81-34=47', '51-48=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 49:[51, 1], Operations: ['81-34=47', '48-47=1']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,49 unequal: No Solution
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[34, 51, 33], Operations: ['81-48=33']
Exploring Operation: 51-34=17, Resulting Numbers: [33, 17]
Generated Node #0,1,0: 49:[33, 17] Operation: 51-34=17
Exploring Operation: 34-33=1, Resulting Numbers: [51, 1]
Generated Node #0,1,1: 49:[51, 1] Operation: 34-33=1
Exploring Operation: 34+33=67, Resulting Numbers: [51, 67]
Generated Node #0,1,2: 49:[51, 67] Operation: 34+33=67
Moving to Node #0,1,1
Current State: 49:[51, 1], Operations: ['81-48=33', '34-33=1']
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,49 unequal: No Solution
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,49 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[51, 67], Operations: ['81-48=33', '34+33=67']
Exploring Operation: 51*67=3417, Resulting Numbers: [3417]
3417,49 unequal: No Solution
Exploring Operation: 67-51=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 51+67=118, Resulting Numbers: [118]
118,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[33, 17], Operations: ['81-48=33', '51-34=17']
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 33+17=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 33*17=561, Resulting Numbers: [561]
561,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[34, 48, 30], Operations: ['81-51=30']
Exploring Operation: 34-30=4, Resulting Numbers: [48, 4]
Generated Node #0,2,0: 49:[48, 4] Operation: 34-30=4
Exploring Operation: 34+30=64, Resulting Numbers: [48, 64]
Generated Node #0,2,1: 49:[48, 64] Operation: 34+30=64
Exploring Operation: 48-34=14, Resulting Numbers: [30, 14]
Generated Node #0,2,2: 49:[30, 14] Operation: 48-34=14
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 49:[48, 4], Operations: ['81-51=30', '34-30=4']
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,49 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 49:[48, 64], Operations: ['81-51=30', '34+30=64']
Exploring Operation: 48*64=3072, Resulting Numbers: [3072]
3072,49 unequal: No Solution
Exploring Operation: 48+64=112, Resulting Numbers: [112]
112,49 unequal: No Solution
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[30, 14], Operations: ['81-51=30', '48-34=14']
Exploring Operation: 30+14=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 30*14=420, Resulting Numbers: [420]
420,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
28,
77,
2,
25
] | 38 | [
"28/2=14",
"77-25=52",
"52-14=38"
] | Current State: 38:[28, 77, 2, 25], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [77, 25, 14]
Generated Node #2: [77, 25, 14] from Operation: 28/2=14
Current State: 38:[77, 25, 14], Operations: ['28/2=14']
Exploring Operation: 77-25=52, Resulting Numbers: [14, 52]
Generated Node #3: [14, 52] from Operation: 77-25=52
Current State: 38:[14, 52], Operations: ['28/2=14', '77-25=52']
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[28, 77, 2, 25], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [77, 25, 14]
Generated Node #0,0: 38:[77, 25, 14] Operation: 28/2=14
Exploring Operation: 28-25=3, Resulting Numbers: [77, 2, 3]
Generated Node #0,1: 38:[77, 2, 3] Operation: 28-25=3
Exploring Operation: 77-28=49, Resulting Numbers: [2, 25, 49]
Generated Node #0,2: 38:[2, 25, 49] Operation: 77-28=49
Exploring Operation: 77-25=52, Resulting Numbers: [28, 2, 52]
Generated Node #0,3: 38:[28, 2, 52] Operation: 77-25=52
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[2, 25, 49], Operations: ['77-28=49']
Exploring Operation: 49-25=24, Resulting Numbers: [2, 24]
Generated Node #0,2,0: 38:[2, 24] Operation: 49-25=24
Exploring Operation: 49-2=47, Resulting Numbers: [25, 47]
Generated Node #0,2,1: 38:[25, 47] Operation: 49-2=47
Exploring Operation: 25-2=23, Resulting Numbers: [49, 23]
Generated Node #0,2,2: 38:[49, 23] Operation: 25-2=23
Exploring Operation: 2+25=27, Resulting Numbers: [49, 27]
Generated Node #0,2,3: 38:[49, 27] Operation: 2+25=27
Moving to Node #0,2,0
Current State: 38:[2, 24], Operations: ['77-28=49', '49-25=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,38 unequal: No Solution
Moving to Node #0,2,2
Current State: 38:[49, 23], Operations: ['77-28=49', '25-2=23']
Exploring Operation: 49*23=1127, Resulting Numbers: [1127]
1127,38 unequal: No Solution
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Exploring Operation: 49+23=72, Resulting Numbers: [72]
72,38 unequal: No Solution
Moving to Node #0,2,1
Current State: 38:[25, 47], Operations: ['77-28=49', '49-2=47']
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,38 unequal: No Solution
Exploring Operation: 25*47=1175, Resulting Numbers: [1175]
1175,38 unequal: No Solution
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Moving to Node #0,2,3
Current State: 38:[49, 27], Operations: ['77-28=49', '2+25=27']
Exploring Operation: 49+27=76, Resulting Numbers: [76]
76,38 unequal: No Solution
Exploring Operation: 49*27=1323, Resulting Numbers: [1323]
1323,38 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[28, 2, 52], Operations: ['77-25=52']
Exploring Operation: 52-28=24, Resulting Numbers: [2, 24]
Generated Node #0,3,0: 38:[2, 24] Operation: 52-28=24
Exploring Operation: 28-2=26, Resulting Numbers: [52, 26]
Generated Node #0,3,1: 38:[52, 26] Operation: 28-2=26
Exploring Operation: 28/2=14, Resulting Numbers: [52, 14]
Generated Node #0,3,2: 38:[52, 14] Operation: 28/2=14
Exploring Operation: 52/2=26, Resulting Numbers: [28, 26]
Generated Node #0,3,3: 38:[28, 26] Operation: 52/2=26
Moving to Node #0,3,0
Current State: 38:[2, 24], Operations: ['77-25=52', '52-28=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,38 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Moving to Node #0,3,3
Current State: 38:[28, 26], Operations: ['77-25=52', '52/2=26']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Exploring Operation: 28*26=728, Resulting Numbers: [728]
728,38 unequal: No Solution
Moving to Node #0,3,2
Current State: 38:[52, 14], Operations: ['77-25=52', '28/2=14']
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[28, 77, 2, 25], Operations: []
Exploring Operation: 77-25=52, Resulting Numbers: [28, 2, 52]
Generated Node #0,3: 38:[28, 2, 52] Operation: 77-25=52
Moving to Node #0,3
Current State: 38:[28, 2, 52], Operations: ['77-25=52']
Exploring Operation: 28/2=14, Resulting Numbers: [52, 14]
Generated Node #0,3,2: 38:[52, 14] Operation: 28/2=14
Moving to Node #0,3,2
Current State: 38:[52, 14], Operations: ['77-25=52', '28/2=14']
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_4 | sum_heuristic |
[
35,
22,
44,
28
] | 15 | [
"35+22=57",
"44+28=72",
"72-57=15"
] | Current State: 15:[35, 22, 44, 28], Operations: []
Exploring Operation: 35+22=57, Resulting Numbers: [44, 28, 57]
Generated Node #2: [44, 28, 57] from Operation: 35+22=57
Current State: 15:[44, 28, 57], Operations: ['35+22=57']
Exploring Operation: 44+28=72, Resulting Numbers: [57, 72]
Generated Node #3: [57, 72] from Operation: 44+28=72
Current State: 15:[57, 72], Operations: ['35+22=57', '44+28=72']
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[35, 22, 44, 28], Operations: []
Exploring Operation: 44-28=16, Resulting Numbers: [35, 22, 16]
Generated Node #0,0: 15:[35, 22, 16] Operation: 44-28=16
Exploring Operation: 44-35=9, Resulting Numbers: [22, 28, 9]
Generated Node #0,1: 15:[22, 28, 9] Operation: 44-35=9
Exploring Operation: 35-28=7, Resulting Numbers: [22, 44, 7]
Generated Node #0,2: 15:[22, 44, 7] Operation: 35-28=7
Exploring Operation: 44/22=2, Resulting Numbers: [35, 28, 2]
Generated Node #0,3: 15:[35, 28, 2] Operation: 44/22=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[22, 28, 9], Operations: ['44-35=9']
Exploring Operation: 22+9=31, Resulting Numbers: [28, 31]
Generated Node #0,1,0: 15:[28, 31] Operation: 22+9=31
Exploring Operation: 22-9=13, Resulting Numbers: [28, 13]
Generated Node #0,1,1: 15:[28, 13] Operation: 22-9=13
Exploring Operation: 28-9=19, Resulting Numbers: [22, 19]
Generated Node #0,1,2: 15:[22, 19] Operation: 28-9=19
Exploring Operation: 28-22=6, Resulting Numbers: [9, 6]
Generated Node #0,1,3: 15:[9, 6] Operation: 28-22=6
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 15:[9, 6], Operations: ['44-35=9', '28-22=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[35, 22, 44, 28], Operations: []
Exploring Operation: 44-35=9, Resulting Numbers: [22, 28, 9]
Generated Node #0,1: 15:[22, 28, 9] Operation: 44-35=9
Moving to Node #0,1
Current State: 15:[22, 28, 9], Operations: ['44-35=9']
Exploring Operation: 28-22=6, Resulting Numbers: [9, 6]
Generated Node #0,1,3: 15:[9, 6] Operation: 28-22=6
Moving to Node #0,1,3
Current State: 15:[9, 6], Operations: ['44-35=9', '28-22=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
84,
30,
72,
21
] | 63 | [
"84+30=114",
"72-21=51",
"114-51=63"
] | Current State: 63:[84, 30, 72, 21], Operations: []
Exploring Operation: 84+30=114, Resulting Numbers: [72, 21, 114]
Generated Node #2: [72, 21, 114] from Operation: 84+30=114
Current State: 63:[72, 21, 114], Operations: ['84+30=114']
Exploring Operation: 72-21=51, Resulting Numbers: [114, 51]
Generated Node #3: [114, 51] from Operation: 72-21=51
Current State: 63:[114, 51], Operations: ['84+30=114', '72-21=51']
Exploring Operation: 114-51=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[84, 30, 72, 21], Operations: []
Exploring Operation: 84-72=12, Resulting Numbers: [30, 21, 12]
Generated Node #0,0: 63:[30, 21, 12] Operation: 84-72=12
Exploring Operation: 84-30=54, Resulting Numbers: [72, 21, 54]
Generated Node #0,1: 63:[72, 21, 54] Operation: 84-30=54
Exploring Operation: 84-21=63, Resulting Numbers: [30, 72, 63]
Generated Node #0,2: 63:[30, 72, 63] Operation: 84-21=63
Exploring Operation: 84/21=4, Resulting Numbers: [30, 72, 4]
Generated Node #0,3: 63:[30, 72, 4] Operation: 84/21=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[30, 21, 12], Operations: ['84-72=12']
Exploring Operation: 21-12=9, Resulting Numbers: [30, 9]
Generated Node #0,0,0: 63:[30, 9] Operation: 21-12=9
Exploring Operation: 30+21=51, Resulting Numbers: [12, 51]
Generated Node #0,0,1: 63:[12, 51] Operation: 30+21=51
Exploring Operation: 30-12=18, Resulting Numbers: [21, 18]
Generated Node #0,0,2: 63:[21, 18] Operation: 30-12=18
Exploring Operation: 30-21=9, Resulting Numbers: [12, 9]
Generated Node #0,0,3: 63:[12, 9] Operation: 30-21=9
Moving to Node #0,0,2
Current State: 63:[21, 18], Operations: ['84-72=12', '30-12=18']
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,63 unequal: No Solution
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Moving to Node #0,0,3
Current State: 63:[12, 9], Operations: ['84-72=12', '30-21=9']
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,63 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[30, 9], Operations: ['84-72=12', '21-12=9']
Exploring Operation: 30*9=270, Resulting Numbers: [270]
270,63 unequal: No Solution
Exploring Operation: 30+9=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[12, 51], Operations: ['84-72=12', '30+21=51']
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Exploring Operation: 12*51=612, Resulting Numbers: [612]
612,63 unequal: No Solution
Exploring Operation: 12+51=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[84, 30, 72, 21], Operations: []
Exploring Operation: 84-72=12, Resulting Numbers: [30, 21, 12]
Generated Node #0,0: 63:[30, 21, 12] Operation: 84-72=12
Moving to Node #0,0
Current State: 63:[30, 21, 12], Operations: ['84-72=12']
Exploring Operation: 30+21=51, Resulting Numbers: [12, 51]
Generated Node #0,0,1: 63:[12, 51] Operation: 30+21=51
Moving to Node #0,0,1
Current State: 63:[12, 51], Operations: ['84-72=12', '30+21=51']
Exploring Operation: 12+51=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
37,
13,
22,
7
] | 32 | [
"37+22=59",
"13*7=91",
"91-59=32"
] | Current State: 32:[37, 13, 22, 7], Operations: []
Exploring Operation: 37+22=59, Resulting Numbers: [13, 7, 59]
Generated Node #2: [13, 7, 59] from Operation: 37+22=59
Current State: 32:[13, 7, 59], Operations: ['37+22=59']
Exploring Operation: 13*7=91, Resulting Numbers: [59, 91]
Generated Node #3: [59, 91] from Operation: 13*7=91
Current State: 32:[59, 91], Operations: ['37+22=59', '13*7=91']
Exploring Operation: 91-59=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[37, 13, 22, 7], Operations: []
Exploring Operation: 37-22=15, Resulting Numbers: [13, 7, 15]
Generated Node #0,0: 32:[13, 7, 15] Operation: 37-22=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[13, 7, 15], Operations: ['37-22=15']
Exploring Operation: 15-13=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 32:[7, 2] Operation: 15-13=2
Moving to Node #0,0,0
Current State: 32:[7, 2], Operations: ['37-22=15', '15-13=2']
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
78,
50,
70,
19
] | 79 | [
"78-50=28",
"70-19=51",
"28+51=79"
] | Current State: 79:[78, 50, 70, 19], Operations: []
Exploring Operation: 78-50=28, Resulting Numbers: [70, 19, 28]
Generated Node #2: [70, 19, 28] from Operation: 78-50=28
Current State: 79:[70, 19, 28], Operations: ['78-50=28']
Exploring Operation: 70-19=51, Resulting Numbers: [28, 51]
Generated Node #3: [28, 51] from Operation: 70-19=51
Current State: 79:[28, 51], Operations: ['78-50=28', '70-19=51']
Exploring Operation: 28+51=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[78, 50, 70, 19], Operations: []
Exploring Operation: 70+19=89, Resulting Numbers: [78, 50, 89]
Generated Node #0,0: 79:[78, 50, 89] Operation: 70+19=89
Exploring Operation: 50+19=69, Resulting Numbers: [78, 70, 69]
Generated Node #0,1: 79:[78, 70, 69] Operation: 50+19=69
Moving to Node #0,1
Current State: 79:[78, 70, 69], Operations: ['50+19=69']
Exploring Operation: 70+69=139, Resulting Numbers: [78, 139]
Generated Node #0,1,0: 79:[78, 139] Operation: 70+69=139
Exploring Operation: 78+69=147, Resulting Numbers: [70, 147]
Generated Node #0,1,1: 79:[70, 147] Operation: 78+69=147
Moving to Node #0,0
Current State: 79:[78, 50, 89], Operations: ['70+19=89']
Exploring Operation: 78+50=128, Resulting Numbers: [89, 128]
Generated Node #0,0,0: 79:[89, 128] Operation: 78+50=128
Exploring Operation: 89-50=39, Resulting Numbers: [78, 39]
Generated Node #0,0,1: 79:[78, 39] Operation: 89-50=39
Moving to Node #0,0,1
Current State: 79:[78, 39], Operations: ['70+19=89', '89-50=39']
Exploring Operation: 78+39=117, Resulting Numbers: [117]
117,79 unequal: No Solution
Exploring Operation: 78-39=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[89, 128], Operations: ['70+19=89', '78+50=128']
Exploring Operation: 89+128=217, Resulting Numbers: [217]
217,79 unequal: No Solution
Exploring Operation: 128-89=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[78, 139], Operations: ['50+19=69', '70+69=139']
Exploring Operation: 78+139=217, Resulting Numbers: [217]
217,79 unequal: No Solution
Exploring Operation: 139-78=61, Resulting Numbers: [61]
61,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[70, 147], Operations: ['50+19=69', '78+69=147']
Exploring Operation: 70+147=217, Resulting Numbers: [217]
217,79 unequal: No Solution
Exploring Operation: 147-70=77, Resulting Numbers: [77]
77,79 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
37,
74,
63,
40
] | 95 | [
"40-37=3",
"63/3=21",
"74+21=95"
] | Current State: 95:[37, 74, 63, 40], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [74, 63, 3]
Generated Node #2: [74, 63, 3] from Operation: 40-37=3
Current State: 95:[74, 63, 3], Operations: ['40-37=3']
Exploring Operation: 63/3=21, Resulting Numbers: [74, 21]
Generated Node #3: [74, 21] from Operation: 63/3=21
Current State: 95:[74, 21], Operations: ['40-37=3', '63/3=21']
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[37, 74, 63, 40], Operations: []
Exploring Operation: 37+63=100, Resulting Numbers: [74, 40, 100]
Generated Node #0,0: 95:[74, 40, 100] Operation: 37+63=100
Exploring Operation: 63+40=103, Resulting Numbers: [37, 74, 103]
Generated Node #0,1: 95:[37, 74, 103] Operation: 63+40=103
Exploring Operation: 74-63=11, Resulting Numbers: [37, 40, 11]
Generated Node #0,2: 95:[37, 40, 11] Operation: 74-63=11
Exploring Operation: 63-40=23, Resulting Numbers: [37, 74, 23]
Generated Node #0,3: 95:[37, 74, 23] Operation: 63-40=23
Start Sub Search at level 1: Moving to Node #0,3
Current State: 95:[37, 74, 23], Operations: ['63-40=23']
Exploring Operation: 74/37=2, Resulting Numbers: [23, 2]
Generated Node #0,3,0: 95:[23, 2] Operation: 74/37=2
Exploring Operation: 74+23=97, Resulting Numbers: [37, 97]
Generated Node #0,3,1: 95:[37, 97] Operation: 74+23=97
Exploring Operation: 37+74=111, Resulting Numbers: [23, 111]
Generated Node #0,3,2: 95:[23, 111] Operation: 37+74=111
Exploring Operation: 74-37=37, Resulting Numbers: [23, 37]
Generated Node #0,3,3: 95:[23, 37] Operation: 74-37=37
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 95:[23, 2], Operations: ['63-40=23', '74/37=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,95 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,95 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 95:[37, 97], Operations: ['63-40=23', '74+23=97']
Exploring Operation: 97-37=60, Resulting Numbers: [60]
60,95 unequal: No Solution
Exploring Operation: 37*97=3589, Resulting Numbers: [3589]
3589,95 unequal: No Solution
Exploring Operation: 37+97=134, Resulting Numbers: [134]
134,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 95:[23, 111], Operations: ['63-40=23', '37+74=111']
Exploring Operation: 23*111=2553, Resulting Numbers: [2553]
2553,95 unequal: No Solution
Exploring Operation: 111-23=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 23+111=134, Resulting Numbers: [134]
134,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 95:[23, 37], Operations: ['63-40=23', '74-37=37']
Exploring Operation: 23*37=851, Resulting Numbers: [851]
851,95 unequal: No Solution
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 23+37=60, Resulting Numbers: [60]
60,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[37, 40, 11], Operations: ['74-63=11']
Exploring Operation: 37-11=26, Resulting Numbers: [40, 26]
Generated Node #0,2,0: 95:[40, 26] Operation: 37-11=26
Exploring Operation: 40-11=29, Resulting Numbers: [37, 29]
Generated Node #0,2,1: 95:[37, 29] Operation: 40-11=29
Exploring Operation: 37+40=77, Resulting Numbers: [11, 77]
Generated Node #0,2,2: 95:[11, 77] Operation: 37+40=77
Exploring Operation: 40-37=3, Resulting Numbers: [11, 3]
Generated Node #0,2,3: 95:[11, 3] Operation: 40-37=3
Moving to Node #0,2,3
Current State: 95:[11, 3], Operations: ['74-63=11', '40-37=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[11, 77], Operations: ['74-63=11', '37+40=77']
Exploring Operation: 11+77=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,95 unequal: No Solution
Exploring Operation: 11*77=847, Resulting Numbers: [847]
847,95 unequal: No Solution
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[37, 29], Operations: ['74-63=11', '40-11=29']
Exploring Operation: 37*29=1073, Resulting Numbers: [1073]
1073,95 unequal: No Solution
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,95 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[40, 26], Operations: ['74-63=11', '37-11=26']
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 40+26=66, Resulting Numbers: [66]
66,95 unequal: No Solution
Exploring Operation: 40*26=1040, Resulting Numbers: [1040]
1040,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[74, 40, 100], Operations: ['37+63=100']
Exploring Operation: 74-40=34, Resulting Numbers: [100, 34]
Generated Node #0,0,0: 95:[100, 34] Operation: 74-40=34
Exploring Operation: 100-74=26, Resulting Numbers: [40, 26]
Generated Node #0,0,1: 95:[40, 26] Operation: 100-74=26
Exploring Operation: 100-40=60, Resulting Numbers: [74, 60]
Generated Node #0,0,2: 95:[74, 60] Operation: 100-40=60
Exploring Operation: 74+40=114, Resulting Numbers: [100, 114]
Generated Node #0,0,3: 95:[100, 114] Operation: 74+40=114
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[100, 34], Operations: ['37+63=100', '74-40=34']
Exploring Operation: 100*34=3400, Resulting Numbers: [3400]
3400,95 unequal: No Solution
Exploring Operation: 100-34=66, Resulting Numbers: [66]
66,95 unequal: No Solution
Exploring Operation: 100+34=134, Resulting Numbers: [134]
134,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 95:[100, 114], Operations: ['37+63=100', '74+40=114']
Exploring Operation: 100+114=214, Resulting Numbers: [214]
214,95 unequal: No Solution
Exploring Operation: 100*114=11400, Resulting Numbers: [11400]
11400,95 unequal: No Solution
Exploring Operation: 114-100=14, Resulting Numbers: [14]
14,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 95:[40, 26], Operations: ['37+63=100', '100-74=26']
Exploring Operation: 40+26=66, Resulting Numbers: [66]
66,95 unequal: No Solution
Exploring Operation: 40*26=1040, Resulting Numbers: [1040]
1040,95 unequal: No Solution
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 95:[74, 60], Operations: ['37+63=100', '100-40=60']
Exploring Operation: 74-60=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 74+60=134, Resulting Numbers: [134]
134,95 unequal: No Solution
Exploring Operation: 74*60=4440, Resulting Numbers: [4440]
4440,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[37, 74, 103], Operations: ['63+40=103']
Exploring Operation: 74-37=37, Resulting Numbers: [103, 37]
Generated Node #0,1,0: 95:[103, 37] Operation: 74-37=37
Exploring Operation: 103-74=29, Resulting Numbers: [37, 29]
Generated Node #0,1,1: 95:[37, 29] Operation: 103-74=29
Exploring Operation: 37+74=111, Resulting Numbers: [103, 111]
Generated Node #0,1,2: 95:[103, 111] Operation: 37+74=111
Exploring Operation: 74/37=2, Resulting Numbers: [103, 2]
Generated Node #0,1,3: 95:[103, 2] Operation: 74/37=2
Moving to Node #0,1,3
Current State: 95:[103, 2], Operations: ['63+40=103', '74/37=2']
Exploring Operation: 103-2=101, Resulting Numbers: [101]
101,95 unequal: No Solution
Exploring Operation: 103+2=105, Resulting Numbers: [105]
105,95 unequal: No Solution
Exploring Operation: 103*2=206, Resulting Numbers: [206]
206,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[103, 111], Operations: ['63+40=103', '37+74=111']
Exploring Operation: 111-103=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 103+111=214, Resulting Numbers: [214]
214,95 unequal: No Solution
Exploring Operation: 103*111=11433, Resulting Numbers: [11433]
11433,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[103, 37], Operations: ['63+40=103', '74-37=37']
Exploring Operation: 103*37=3811, Resulting Numbers: [3811]
3811,95 unequal: No Solution
Exploring Operation: 103+37=140, Resulting Numbers: [140]
140,95 unequal: No Solution
Exploring Operation: 103-37=66, Resulting Numbers: [66]
66,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[37, 29], Operations: ['63+40=103', '103-74=29']
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,95 unequal: No Solution
Exploring Operation: 37*29=1073, Resulting Numbers: [1073]
1073,95 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,95 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 |
[
28,
56,
88,
71
] | 45 | [
"56-28=28",
"88-71=17",
"28+17=45"
] | Current State: 45:[28, 56, 88, 71], Operations: []
Exploring Operation: 56-28=28, Resulting Numbers: [88, 71, 28]
Generated Node #2: [88, 71, 28] from Operation: 56-28=28
Current State: 45:[88, 71, 28], Operations: ['56-28=28']
Exploring Operation: 88-71=17, Resulting Numbers: [28, 17]
Generated Node #3: [28, 17] from Operation: 88-71=17
Current State: 45:[28, 17], Operations: ['56-28=28', '88-71=17']
Exploring Operation: 28+17=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[28, 56, 88, 71], Operations: []
Exploring Operation: 88-71=17, Resulting Numbers: [28, 56, 17]
Generated Node #0,0: 45:[28, 56, 17] Operation: 88-71=17
Moving to Node #0,0
Current State: 45:[28, 56, 17], Operations: ['88-71=17']
Exploring Operation: 56/28=2, Resulting Numbers: [17, 2]
Generated Node #0,0,0: 45:[17, 2] Operation: 56/28=2
Moving to Node #0,0,0
Current State: 45:[17, 2], Operations: ['88-71=17', '56/28=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,45 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
60,
93,
46,
41
] | 54 | [
"93-60=33",
"46+41=87",
"87-33=54"
] | Current State: 54:[60, 93, 46, 41], Operations: []
Exploring Operation: 93-60=33, Resulting Numbers: [46, 41, 33]
Generated Node #2: [46, 41, 33] from Operation: 93-60=33
Current State: 54:[46, 41, 33], Operations: ['93-60=33']
Exploring Operation: 46+41=87, Resulting Numbers: [33, 87]
Generated Node #3: [33, 87] from Operation: 46+41=87
Current State: 54:[33, 87], Operations: ['93-60=33', '46+41=87']
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[60, 93, 46, 41], Operations: []
Exploring Operation: 93-46=47, Resulting Numbers: [60, 41, 47]
Generated Node #0,0: 54:[60, 41, 47] Operation: 93-46=47
Exploring Operation: 93-41=52, Resulting Numbers: [60, 46, 52]
Generated Node #0,1: 54:[60, 46, 52] Operation: 93-41=52
Moving to Node #0,1
Current State: 54:[60, 46, 52], Operations: ['93-41=52']
Exploring Operation: 60-46=14, Resulting Numbers: [52, 14]
Generated Node #0,1,0: 54:[52, 14] Operation: 60-46=14
Exploring Operation: 52-46=6, Resulting Numbers: [60, 6]
Generated Node #0,1,1: 54:[60, 6] Operation: 52-46=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 54:[52, 14], Operations: ['93-41=52', '60-46=14']
Exploring Operation: 52+14=66, Resulting Numbers: [66]
66,54 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 54:[60, 6], Operations: ['93-41=52', '52-46=6']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[60, 93, 46, 41], Operations: []
Exploring Operation: 93-41=52, Resulting Numbers: [60, 46, 52]
Generated Node #0,1: 54:[60, 46, 52] Operation: 93-41=52
Moving to Node #0,1
Current State: 54:[60, 46, 52], Operations: ['93-41=52']
Exploring Operation: 52-46=6, Resulting Numbers: [60, 6]
Generated Node #0,1,1: 54:[60, 6] Operation: 52-46=6
Moving to Node #0,1,1
Current State: 54:[60, 6], Operations: ['93-41=52', '52-46=6']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
61,
96,
66,
64
] | 13 | [
"66-64=2",
"96/2=48",
"61-48=13"
] | Current State: 13:[61, 96, 66, 64], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [61, 96, 2]
Generated Node #2: [61, 96, 2] from Operation: 66-64=2
Current State: 13:[61, 96, 2], Operations: ['66-64=2']
Exploring Operation: 96/2=48, Resulting Numbers: [61, 48]
Generated Node #3: [61, 48] from Operation: 96/2=48
Current State: 13:[61, 48], Operations: ['66-64=2', '96/2=48']
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[61, 96, 66, 64], Operations: []
Exploring Operation: 96-64=32, Resulting Numbers: [61, 66, 32]
Generated Node #0,0: 13:[61, 66, 32] Operation: 96-64=32
Exploring Operation: 96-61=35, Resulting Numbers: [66, 64, 35]
Generated Node #0,1: 13:[66, 64, 35] Operation: 96-61=35
Exploring Operation: 66-61=5, Resulting Numbers: [96, 64, 5]
Generated Node #0,2: 13:[96, 64, 5] Operation: 66-61=5
Exploring Operation: 96-66=30, Resulting Numbers: [61, 64, 30]
Generated Node #0,3: 13:[61, 64, 30] Operation: 96-66=30
Start Sub Search at level 1: Moving to Node #0,3
Current State: 13:[61, 64, 30], Operations: ['96-66=30']
Exploring Operation: 61-30=31, Resulting Numbers: [64, 31]
Generated Node #0,3,0: 13:[64, 31] Operation: 61-30=31
Exploring Operation: 64-30=34, Resulting Numbers: [61, 34]
Generated Node #0,3,1: 13:[61, 34] Operation: 64-30=34
Exploring Operation: 61+64=125, Resulting Numbers: [30, 125]
Generated Node #0,3,2: 13:[30, 125] Operation: 61+64=125
Exploring Operation: 64-61=3, Resulting Numbers: [30, 3]
Generated Node #0,3,3: 13:[30, 3] Operation: 64-61=3
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 13:[30, 3], Operations: ['96-66=30', '64-61=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,13 unequal: No Solution
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,13 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,13 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,13 unequal: No Solution
No 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: 13:[64, 31], Operations: ['96-66=30', '61-30=31']
Exploring Operation: 64+31=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Exploring Operation: 64*31=1984, Resulting Numbers: [1984]
1984,13 unequal: No Solution
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,13 unequal: No Solution
No 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: 13:[61, 34], Operations: ['96-66=30', '64-30=34']
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 61+34=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Exploring Operation: 61*34=2074, Resulting Numbers: [2074]
2074,13 unequal: No Solution
No 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: 13:[30, 125], Operations: ['96-66=30', '61+64=125']
Exploring Operation: 30*125=3750, Resulting Numbers: [3750]
3750,13 unequal: No Solution
Exploring Operation: 125-30=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Exploring Operation: 30+125=155, Resulting Numbers: [155]
155,13 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: 13:[61, 66, 32], Operations: ['96-64=32']
Exploring Operation: 66-32=34, Resulting Numbers: [61, 34]
Generated Node #0,0,0: 13:[61, 34] Operation: 66-32=34
Exploring Operation: 66-61=5, Resulting Numbers: [32, 5]
Generated Node #0,0,1: 13:[32, 5] Operation: 66-61=5
Exploring Operation: 61+66=127, Resulting Numbers: [32, 127]
Generated Node #0,0,2: 13:[32, 127] Operation: 61+66=127
Exploring Operation: 61-32=29, Resulting Numbers: [66, 29]
Generated Node #0,0,3: 13:[66, 29] Operation: 61-32=29
Moving to Node #0,0,1
Current State: 13:[32, 5], Operations: ['96-64=32', '66-61=5']
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 32*5=160, Resulting Numbers: [160]
160,13 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Moving to Node #0,0,3
Current State: 13:[66, 29], Operations: ['96-64=32', '61-32=29']
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[61, 34], Operations: ['96-64=32', '66-32=34']
Exploring Operation: 61+34=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 61*34=2074, Resulting Numbers: [2074]
2074,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[32, 127], Operations: ['96-64=32', '61+66=127']
Exploring Operation: 32*127=4064, Resulting Numbers: [4064]
4064,13 unequal: No Solution
Exploring Operation: 127-32=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Exploring Operation: 32+127=159, Resulting Numbers: [159]
159,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[66, 64, 35], Operations: ['96-61=35']
Exploring Operation: 66-35=31, Resulting Numbers: [64, 31]
Generated Node #0,1,0: 13:[64, 31] Operation: 66-35=31
Exploring Operation: 66+64=130, Resulting Numbers: [35, 130]
Generated Node #0,1,1: 13:[35, 130] Operation: 66+64=130
Exploring Operation: 64-35=29, Resulting Numbers: [66, 29]
Generated Node #0,1,2: 13:[66, 29] Operation: 64-35=29
Exploring Operation: 66-64=2, Resulting Numbers: [35, 2]
Generated Node #0,1,3: 13:[35, 2] Operation: 66-64=2
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 13:[35, 2], Operations: ['96-61=35', '66-64=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,13 unequal: No Solution
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,13 unequal: No Solution
No 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: 13:[64, 31], Operations: ['96-61=35', '66-35=31']
Exploring Operation: 64*31=1984, Resulting Numbers: [1984]
1984,13 unequal: No Solution
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,13 unequal: No Solution
Exploring Operation: 64+31=95, Resulting Numbers: [95]
95,13 unequal: No Solution
No 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: 13:[66, 29], Operations: ['96-61=35', '64-35=29']
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,13 unequal: No Solution
No 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: 13:[35, 130], Operations: ['96-61=35', '66+64=130']
Exploring Operation: 35*130=4550, Resulting Numbers: [4550]
4550,13 unequal: No Solution
Exploring Operation: 130-35=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Exploring Operation: 35+130=165, Resulting Numbers: [165]
165,13 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: 13:[96, 64, 5], Operations: ['66-61=5']
Exploring Operation: 96+5=101, Resulting Numbers: [64, 101]
Generated Node #0,2,0: 13:[64, 101] Operation: 96+5=101
Exploring Operation: 96-64=32, Resulting Numbers: [5, 32]
Generated Node #0,2,1: 13:[5, 32] Operation: 96-64=32
Exploring Operation: 96-5=91, Resulting Numbers: [64, 91]
Generated Node #0,2,2: 13:[64, 91] Operation: 96-5=91
Exploring Operation: 64-5=59, Resulting Numbers: [96, 59]
Generated Node #0,2,3: 13:[96, 59] Operation: 64-5=59
Moving to Node #0,2,1
Current State: 13:[5, 32], Operations: ['66-61=5', '96-64=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,13 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Moving to Node #0,2,3
Current State: 13:[96, 59], Operations: ['66-61=5', '64-5=59']
Exploring Operation: 96+59=155, Resulting Numbers: [155]
155,13 unequal: No Solution
Exploring Operation: 96*59=5664, Resulting Numbers: [5664]
5664,13 unequal: No Solution
Exploring Operation: 96-59=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[64, 91], Operations: ['66-61=5', '96-5=91']
Exploring Operation: 64+91=155, Resulting Numbers: [155]
155,13 unequal: No Solution
Exploring Operation: 64*91=5824, Resulting Numbers: [5824]
5824,13 unequal: No Solution
Exploring Operation: 91-64=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[64, 101], Operations: ['66-61=5', '96+5=101']
Exploring Operation: 64+101=165, Resulting Numbers: [165]
165,13 unequal: No Solution
Exploring Operation: 64*101=6464, Resulting Numbers: [6464]
6464,13 unequal: No Solution
Exploring Operation: 101-64=37, Resulting Numbers: [37]
37,13 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 |
[
40,
78,
34,
6
] | 78 | [
"40+78=118",
"34+6=40",
"118-40=78"
] | Current State: 78:[40, 78, 34, 6], Operations: []
Exploring Operation: 40+78=118, Resulting Numbers: [34, 6, 118]
Generated Node #2: [34, 6, 118] from Operation: 40+78=118
Current State: 78:[34, 6, 118], Operations: ['40+78=118']
Exploring Operation: 34+6=40, Resulting Numbers: [118, 40]
Generated Node #3: [118, 40] from Operation: 34+6=40
Current State: 78:[118, 40], Operations: ['40+78=118', '34+6=40']
Exploring Operation: 118-40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[40, 78, 34, 6], Operations: []
Exploring Operation: 34+6=40, Resulting Numbers: [40, 78, 40]
Generated Node #0,0: 78:[40, 78, 40] Operation: 34+6=40
Exploring Operation: 40-34=6, Resulting Numbers: [78, 6, 6]
Generated Node #0,1: 78:[78, 6, 6] Operation: 40-34=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[78, 6, 6], Operations: ['40-34=6']
Exploring Operation: 78/6=13, Resulting Numbers: [6, 13]
Generated Node #0,1,0: 78:[6, 13] Operation: 78/6=13
Exploring Operation: 78/6=13, Resulting Numbers: [6, 13]
Generated Node #0,1,1: 78:[6, 13] Operation: 78/6=13
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[6, 13], Operations: ['40-34=6', '78/6=13']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[40, 78, 34, 6], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [78, 6, 6]
Generated Node #0,1: 78:[78, 6, 6] Operation: 40-34=6
Moving to Node #0,1
Current State: 78:[78, 6, 6], Operations: ['40-34=6']
Exploring Operation: 78/6=13, Resulting Numbers: [6, 13]
Generated Node #0,1,0: 78:[6, 13] Operation: 78/6=13
Moving to Node #0,1,0
Current State: 78:[6, 13], Operations: ['40-34=6', '78/6=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
86,
29,
2,
93
] | 44 | [
"86+29=115",
"115-93=22",
"2*22=44"
] | Current State: 44:[86, 29, 2, 93], Operations: []
Exploring Operation: 86+29=115, Resulting Numbers: [2, 93, 115]
Generated Node #2: [2, 93, 115] from Operation: 86+29=115
Current State: 44:[2, 93, 115], Operations: ['86+29=115']
Exploring Operation: 115-93=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 115-93=22
Current State: 44:[2, 22], Operations: ['86+29=115', '115-93=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[86, 29, 2, 93], Operations: []
Exploring Operation: 93-86=7, Resulting Numbers: [29, 2, 7]
Generated Node #0,0: 44:[29, 2, 7] Operation: 93-86=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[29, 2, 7], Operations: ['93-86=7']
Exploring Operation: 29-7=22, Resulting Numbers: [2, 22]
Generated Node #0,0,0: 44:[2, 22] Operation: 29-7=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[2, 22], Operations: ['93-86=7', '29-7=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[86, 29, 2, 93], Operations: []
Exploring Operation: 93-86=7, Resulting Numbers: [29, 2, 7]
Generated Node #0,0: 44:[29, 2, 7] Operation: 93-86=7
Moving to Node #0,0
Current State: 44:[29, 2, 7], Operations: ['93-86=7']
Exploring Operation: 29-7=22, Resulting Numbers: [2, 22]
Generated Node #0,0,0: 44:[2, 22] Operation: 29-7=22
Moving to Node #0,0,0
Current State: 44:[2, 22], Operations: ['93-86=7', '29-7=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
8,
46,
33,
62
] | 31 | [
"62-46=16",
"16/8=2",
"33-2=31"
] | Current State: 31:[8, 46, 33, 62], Operations: []
Exploring Operation: 62-46=16, Resulting Numbers: [8, 33, 16]
Generated Node #2: [8, 33, 16] from Operation: 62-46=16
Current State: 31:[8, 33, 16], Operations: ['62-46=16']
Exploring Operation: 16/8=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 16/8=2
Current State: 31:[33, 2], Operations: ['62-46=16', '16/8=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[8, 46, 33, 62], Operations: []
Exploring Operation: 62-46=16, Resulting Numbers: [8, 33, 16]
Generated Node #0,0: 31:[8, 33, 16] Operation: 62-46=16
Exploring Operation: 46-8=38, Resulting Numbers: [33, 62, 38]
Generated Node #0,1: 31:[33, 62, 38] Operation: 46-8=38
Exploring Operation: 62-8=54, Resulting Numbers: [46, 33, 54]
Generated Node #0,2: 31:[46, 33, 54] Operation: 62-8=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[8, 33, 16], Operations: ['62-46=16']
Exploring Operation: 8+33=41, Resulting Numbers: [16, 41]
Generated Node #0,0,0: 31:[16, 41] Operation: 8+33=41
Exploring Operation: 8+16=24, Resulting Numbers: [33, 24]
Generated Node #0,0,1: 31:[33, 24] Operation: 8+16=24
Exploring Operation: 33-8=25, Resulting Numbers: [16, 25]
Generated Node #0,0,2: 31:[16, 25] Operation: 33-8=25
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 31:[33, 24], Operations: ['62-46=16', '8+16=24']
Exploring Operation: 33*24=792, Resulting Numbers: [792]
792,31 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,31 unequal: No Solution
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 31:[16, 25], Operations: ['62-46=16', '33-8=25']
Exploring Operation: 16*25=400, Resulting Numbers: [400]
400,31 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,31 unequal: No Solution
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[16, 41], Operations: ['62-46=16', '8+33=41']
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 16*41=656, Resulting Numbers: [656]
656,31 unequal: No Solution
Exploring Operation: 16+41=57, Resulting Numbers: [57]
57,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[33, 62, 38], Operations: ['46-8=38']
Exploring Operation: 62-33=29, Resulting Numbers: [38, 29]
Generated Node #0,1,0: 31:[38, 29] Operation: 62-33=29
Exploring Operation: 62-38=24, Resulting Numbers: [33, 24]
Generated Node #0,1,1: 31:[33, 24] Operation: 62-38=24
Exploring Operation: 38-33=5, Resulting Numbers: [62, 5]
Generated Node #0,1,2: 31:[62, 5] Operation: 38-33=5
Moving to Node #0,1,0
Current State: 31:[38, 29], Operations: ['46-8=38', '62-33=29']
Exploring Operation: 38+29=67, Resulting Numbers: [67]
67,31 unequal: No Solution
Exploring Operation: 38*29=1102, Resulting Numbers: [1102]
1102,31 unequal: No Solution
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[33, 24], Operations: ['46-8=38', '62-38=24']
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,31 unequal: No Solution
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,31 unequal: No Solution
Exploring Operation: 33*24=792, Resulting Numbers: [792]
792,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[62, 5], Operations: ['46-8=38', '38-33=5']
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,31 unequal: No Solution
Exploring Operation: 62*5=310, Resulting Numbers: [310]
310,31 unequal: No Solution
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,31 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 #0,2
Current State: 31:[46, 33, 54], Operations: ['62-8=54']
Exploring Operation: 54-33=21, Resulting Numbers: [46, 21]
Generated Node #0,2,0: 31:[46, 21] Operation: 54-33=21
Exploring Operation: 54-46=8, Resulting Numbers: [33, 8]
Generated Node #0,2,1: 31:[33, 8] Operation: 54-46=8
Exploring Operation: 46-33=13, Resulting Numbers: [54, 13]
Generated Node #0,2,2: 31:[54, 13] Operation: 46-33=13
Moving to Node #0,2,0
Current State: 31:[46, 21], Operations: ['62-8=54', '54-33=21']
Exploring Operation: 46+21=67, Resulting Numbers: [67]
67,31 unequal: No Solution
Exploring Operation: 46*21=966, Resulting Numbers: [966]
966,31 unequal: No Solution
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[33, 8], Operations: ['62-8=54', '54-46=8']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 33*8=264, Resulting Numbers: [264]
264,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[54, 13], Operations: ['62-8=54', '46-33=13']
Exploring Operation: 54+13=67, Resulting Numbers: [67]
67,31 unequal: No Solution
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 54*13=702, Resulting Numbers: [702]
702,31 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 |
[
87,
3,
64,
90
] | 65 | [
"87+3=90",
"90/90=1",
"64+1=65"
] | Current State: 65:[87, 3, 64, 90], Operations: []
Exploring Operation: 87+3=90, Resulting Numbers: [64, 90, 90]
Generated Node #2: [64, 90, 90] from Operation: 87+3=90
Current State: 65:[64, 90, 90], Operations: ['87+3=90']
Exploring Operation: 90/90=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 90/90=1
Current State: 65:[64, 1], Operations: ['87+3=90', '90/90=1']
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[87, 3, 64, 90], Operations: []
Exploring Operation: 87-64=23, Resulting Numbers: [3, 90, 23]
Generated Node #0,0: 65:[3, 90, 23] Operation: 87-64=23
Exploring Operation: 90-87=3, Resulting Numbers: [3, 64, 3]
Generated Node #0,1: 65:[3, 64, 3] Operation: 90-87=3
Moving to Node #0,1
Current State: 65:[3, 64, 3], Operations: ['90-87=3']
Exploring Operation: 3+3=6, Resulting Numbers: [64, 6]
Generated Node #0,1,0: 65:[64, 6] Operation: 3+3=6
Exploring Operation: 3+64=67, Resulting Numbers: [3, 67]
Generated Node #0,1,1: 65:[3, 67] Operation: 3+64=67
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 65:[64, 6], Operations: ['90-87=3', '3+3=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,65 unequal: No Solution
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[3, 67], Operations: ['90-87=3', '3+64=67']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 65:[3, 90, 23], Operations: ['87-64=23']
Exploring Operation: 90/3=30, Resulting Numbers: [23, 30]
Generated Node #0,0,0: 65:[23, 30] Operation: 90/3=30
Exploring Operation: 90-23=67, Resulting Numbers: [3, 67]
Generated Node #0,0,1: 65:[3, 67] Operation: 90-23=67
Moving to Node #0,0,1
Current State: 65:[3, 67], Operations: ['87-64=23', '90-23=67']
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,65 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[23, 30], Operations: ['87-64=23', '90/3=30']
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 23+30=53, Resulting Numbers: [53]
53,65 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
44,
16,
33,
4
] | 79 | [
"44-16=28",
"4*28=112",
"112-33=79"
] | Current State: 79:[44, 16, 33, 4], Operations: []
Exploring Operation: 44-16=28, Resulting Numbers: [33, 4, 28]
Generated Node #2: [33, 4, 28] from Operation: 44-16=28
Current State: 79:[33, 4, 28], Operations: ['44-16=28']
Exploring Operation: 4*28=112, Resulting Numbers: [33, 112]
Generated Node #3: [33, 112] from Operation: 4*28=112
Current State: 79:[33, 112], Operations: ['44-16=28', '4*28=112']
Exploring Operation: 112-33=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[44, 16, 33, 4], Operations: []
Exploring Operation: 16*4=64, Resulting Numbers: [44, 33, 64]
Generated Node #0,0: 79:[44, 33, 64] Operation: 16*4=64
Moving to Node #0,0
Current State: 79:[44, 33, 64], Operations: ['16*4=64']
Exploring Operation: 44+33=77, Resulting Numbers: [64, 77]
Generated Node #0,0,0: 79:[64, 77] Operation: 44+33=77
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[64, 77], Operations: ['16*4=64', '44+33=77']
Exploring Operation: 64+77=141, Resulting Numbers: [141]
141,79 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 |
[
77,
39,
52,
39
] | 87 | [
"77+39=116",
"39*116=4524",
"4524/52=87"
] | Current State: 87:[77, 39, 52, 39], Operations: []
Exploring Operation: 77+39=116, Resulting Numbers: [52, 116]
Generated Node #2: [52, 116] from Operation: 77+39=116
Current State: 87:[52, 116], Operations: ['77+39=116']
Exploring Operation: 39*116=4524, Resulting Numbers: [52, 4524]
Generated Node #3: [52, 4524] from Operation: 39*116=4524
Current State: 87:[52, 4524], Operations: ['77+39=116', '39*116=4524']
Exploring Operation: 4524/52=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[77, 39, 52, 39], Operations: []
Exploring Operation: 52-39=13, Resulting Numbers: [77, 39, 13]
Generated Node #0,0: 87:[77, 39, 13] Operation: 52-39=13
Exploring Operation: 52+39=91, Resulting Numbers: [77, 39, 91]
Generated Node #0,1: 87:[77, 39, 91] Operation: 52+39=91
Exploring Operation: 77-52=25, Resulting Numbers: [39, 39, 25]
Generated Node #0,2: 87:[39, 39, 25] Operation: 77-52=25
Exploring Operation: 39+52=91, Resulting Numbers: [77, 39, 91]
Generated Node #0,3: 87:[77, 39, 91] Operation: 39+52=91
Moving to Node #0,1
Current State: 87:[77, 39, 91], Operations: ['52+39=91']
Exploring Operation: 77-39=38, Resulting Numbers: [91, 38]
Generated Node #0,1,0: 87:[91, 38] Operation: 77-39=38
Exploring Operation: 91-39=52, Resulting Numbers: [77, 52]
Generated Node #0,1,1: 87:[77, 52] Operation: 91-39=52
Exploring Operation: 91-77=14, Resulting Numbers: [39, 14]
Generated Node #0,1,2: 87:[39, 14] Operation: 91-77=14
Exploring Operation: 77+39=116, Resulting Numbers: [91, 116]
Generated Node #0,1,3: 87:[91, 116] Operation: 77+39=116
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[91, 38], Operations: ['52+39=91', '77-39=38']
Exploring Operation: 91-38=53, Resulting Numbers: [53]
53,87 unequal: No Solution
Exploring Operation: 91+38=129, Resulting Numbers: [129]
129,87 unequal: No Solution
Exploring Operation: 91*38=3458, Resulting Numbers: [3458]
3458,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[39, 14], Operations: ['52+39=91', '91-77=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,87 unequal: No Solution
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[77, 52], Operations: ['52+39=91', '91-39=52']
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 77*52=4004, Resulting Numbers: [4004]
4004,87 unequal: No Solution
Exploring Operation: 77+52=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 #0,1,3
Current State: 87:[91, 116], Operations: ['52+39=91', '77+39=116']
Exploring Operation: 116-91=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 91*116=10556, Resulting Numbers: [10556]
10556,87 unequal: No Solution
Exploring Operation: 91+116=207, Resulting Numbers: [207]
207,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 87:[77, 39, 91], Operations: ['39+52=91']
Exploring Operation: 91-77=14, Resulting Numbers: [39, 14]
Generated Node #0,3,0: 87:[39, 14] Operation: 91-77=14
Exploring Operation: 91-39=52, Resulting Numbers: [77, 52]
Generated Node #0,3,1: 87:[77, 52] Operation: 91-39=52
Exploring Operation: 77+39=116, Resulting Numbers: [91, 116]
Generated Node #0,3,2: 87:[91, 116] Operation: 77+39=116
Exploring Operation: 77-39=38, Resulting Numbers: [91, 38]
Generated Node #0,3,3: 87:[91, 38] Operation: 77-39=38
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 87:[91, 38], Operations: ['39+52=91', '77-39=38']
Exploring Operation: 91*38=3458, Resulting Numbers: [3458]
3458,87 unequal: No Solution
Exploring Operation: 91+38=129, Resulting Numbers: [129]
129,87 unequal: No Solution
Exploring Operation: 91-38=53, Resulting Numbers: [53]
53,87 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:[39, 14], Operations: ['39+52=91', '91-77=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,87 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,87 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:[77, 52], Operations: ['39+52=91', '91-39=52']
Exploring Operation: 77*52=4004, Resulting Numbers: [4004]
4004,87 unequal: No Solution
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 77+52=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 #0,3,2
Current State: 87:[91, 116], Operations: ['39+52=91', '77+39=116']
Exploring Operation: 91*116=10556, Resulting Numbers: [10556]
10556,87 unequal: No Solution
Exploring Operation: 91+116=207, Resulting Numbers: [207]
207,87 unequal: No Solution
Exploring Operation: 116-91=25, Resulting Numbers: [25]
25,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 87:[39, 39, 25], Operations: ['77-52=25']
Exploring Operation: 39-25=14, Resulting Numbers: [39, 14]
Generated Node #0,2,0: 87:[39, 14] Operation: 39-25=14
Exploring Operation: 39+39=78, Resulting Numbers: [25, 78]
Generated Node #0,2,1: 87:[25, 78] Operation: 39+39=78
Exploring Operation: 39/39=1, Resulting Numbers: [25, 1]
Generated Node #0,2,2: 87:[25, 1] Operation: 39/39=1
Exploring Operation: 39-39=0, Resulting Numbers: [25, 0]
Generated Node #0,2,3: 87:[25, 0] Operation: 39-39=0
Moving to Node #0,0
Current State: 87:[77, 39, 13], Operations: ['52-39=13']
Exploring Operation: 39-13=26, Resulting Numbers: [77, 26]
Generated Node #0,0,0: 87:[77, 26] Operation: 39-13=26
Exploring Operation: 39/13=3, Resulting Numbers: [77, 3]
Generated Node #0,0,1: 87:[77, 3] Operation: 39/13=3
Exploring Operation: 77-39=38, Resulting Numbers: [13, 38]
Generated Node #0,0,2: 87:[13, 38] Operation: 77-39=38
Exploring Operation: 77+13=90, Resulting Numbers: [39, 90]
Generated Node #0,0,3: 87:[39, 90] Operation: 77+13=90
Moving to Node #0,2,2
Current State: 87:[25, 1], Operations: ['77-52=25', '39/39=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,87 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Moving to Node #0,2,3
Current State: 87:[25, 0], Operations: ['77-52=25', '39-39=0']
Exploring Operation: 25*0=0, Resulting Numbers: [0]
0,87 unequal: No Solution
Exploring Operation: 25+0=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 25-0=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[77, 3], Operations: ['52-39=13', '39/13=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 77*3=231, Resulting Numbers: [231]
231,87 unequal: No Solution
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,87 unequal: No Solution
Moving to Node #0,2,1
Current State: 87:[25, 78], Operations: ['77-52=25', '39+39=78']
Exploring Operation: 25+78=103, Resulting Numbers: [103]
103,87 unequal: No Solution
Exploring Operation: 25*78=1950, Resulting Numbers: [1950]
1950,87 unequal: No Solution
Exploring Operation: 78-25=53, Resulting Numbers: [53]
53,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[77, 26], Operations: ['52-39=13', '39-13=26']
Exploring Operation: 77*26=2002, Resulting Numbers: [2002]
2002,87 unequal: No Solution
Exploring Operation: 77+26=103, Resulting Numbers: [103]
103,87 unequal: No Solution
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,87 unequal: No Solution
Moving to Node #0,0,3
Current State: 87:[39, 90], Operations: ['52-39=13', '77+13=90']
Exploring Operation: 39*90=3510, Resulting Numbers: [3510]
3510,87 unequal: No Solution
Exploring Operation: 39+90=129, Resulting Numbers: [129]
129,87 unequal: No Solution
Exploring Operation: 90-39=51, Resulting Numbers: [51]
51,87 unequal: No Solution
Moving to Node #0,0,2
Current State: 87:[13, 38], Operations: ['52-39=13', '77-39=38']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,87 unequal: No Solution
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,87 unequal: No Solution
Moving to Node #0,2,0
Current State: 87:[39, 14], Operations: ['77-52=25', '39-25=14']
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,87 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,87 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
18,
15,
52,
8
] | 86 | [
"52-18=34",
"15*8=120",
"120-34=86"
] | Current State: 86:[18, 15, 52, 8], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [15, 8, 34]
Generated Node #2: [15, 8, 34] from Operation: 52-18=34
Current State: 86:[15, 8, 34], Operations: ['52-18=34']
Exploring Operation: 15*8=120, Resulting Numbers: [34, 120]
Generated Node #3: [34, 120] from Operation: 15*8=120
Current State: 86:[34, 120], Operations: ['52-18=34', '15*8=120']
Exploring Operation: 120-34=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[18, 15, 52, 8], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [52, 8, 3]
Generated Node #0,0: 86:[52, 8, 3] Operation: 18-15=3
Exploring Operation: 52-15=37, Resulting Numbers: [18, 8, 37]
Generated Node #0,1: 86:[18, 8, 37] Operation: 52-15=37
Exploring Operation: 18+15=33, Resulting Numbers: [52, 8, 33]
Generated Node #0,2: 86:[52, 8, 33] Operation: 18+15=33
Exploring Operation: 52-18=34, Resulting Numbers: [15, 8, 34]
Generated Node #0,3: 86:[15, 8, 34] Operation: 52-18=34
Moving to Node #0,0
Current State: 86:[52, 8, 3], Operations: ['18-15=3']
Exploring Operation: 52-3=49, Resulting Numbers: [8, 49]
Generated Node #0,0,0: 86:[8, 49] Operation: 52-3=49
Exploring Operation: 52+8=60, Resulting Numbers: [3, 60]
Generated Node #0,0,1: 86:[3, 60] Operation: 52+8=60
Exploring Operation: 8-3=5, Resulting Numbers: [52, 5]
Generated Node #0,0,2: 86:[52, 5] Operation: 8-3=5
Exploring Operation: 52-8=44, Resulting Numbers: [3, 44]
Generated Node #0,0,3: 86:[3, 44] Operation: 52-8=44
Moving to Node #0,2
Current State: 86:[52, 8, 33], Operations: ['18+15=33']
Exploring Operation: 52+33=85, Resulting Numbers: [8, 85]
Generated Node #0,2,0: 86:[8, 85] Operation: 52+33=85
Exploring Operation: 52-33=19, Resulting Numbers: [8, 19]
Generated Node #0,2,1: 86:[8, 19] Operation: 52-33=19
Exploring Operation: 8+33=41, Resulting Numbers: [52, 41]
Generated Node #0,2,2: 86:[52, 41] Operation: 8+33=41
Exploring Operation: 52-8=44, Resulting Numbers: [33, 44]
Generated Node #0,2,3: 86:[33, 44] Operation: 52-8=44
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 86:[8, 85], Operations: ['18+15=33', '52+33=85']
Exploring Operation: 8*85=680, Resulting Numbers: [680]
680,86 unequal: No Solution
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,86 unequal: No Solution
Exploring Operation: 8+85=93, Resulting Numbers: [93]
93,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 86:[52, 41], Operations: ['18+15=33', '8+33=41']
Exploring Operation: 52*41=2132, Resulting Numbers: [2132]
2132,86 unequal: No Solution
Exploring Operation: 52+41=93, Resulting Numbers: [93]
93,86 unequal: No Solution
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 86:[33, 44], Operations: ['18+15=33', '52-8=44']
Exploring Operation: 33*44=1452, Resulting Numbers: [1452]
1452,86 unequal: No Solution
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,86 unequal: No Solution
Exploring Operation: 33+44=77, Resulting Numbers: [77]
77,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 86:[8, 19], Operations: ['18+15=33', '52-33=19']
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,86 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 86:[15, 8, 34], Operations: ['52-18=34']
Exploring Operation: 34-15=19, Resulting Numbers: [8, 19]
Generated Node #0,3,0: 86:[8, 19] Operation: 34-15=19
Exploring Operation: 15-8=7, Resulting Numbers: [34, 7]
Generated Node #0,3,1: 86:[34, 7] Operation: 15-8=7
Exploring Operation: 15+34=49, Resulting Numbers: [8, 49]
Generated Node #0,3,2: 86:[8, 49] Operation: 15+34=49
Exploring Operation: 8+34=42, Resulting Numbers: [15, 42]
Generated Node #0,3,3: 86:[15, 42] Operation: 8+34=42
Moving to Node #0,1
Current State: 86:[18, 8, 37], Operations: ['52-15=37']
Exploring Operation: 18-8=10, Resulting Numbers: [37, 10]
Generated Node #0,1,0: 86:[37, 10] Operation: 18-8=10
Exploring Operation: 18+37=55, Resulting Numbers: [8, 55]
Generated Node #0,1,1: 86:[8, 55] Operation: 18+37=55
Exploring Operation: 18+8=26, Resulting Numbers: [37, 26]
Generated Node #0,1,2: 86:[37, 26] Operation: 18+8=26
Exploring Operation: 8+37=45, Resulting Numbers: [18, 45]
Generated Node #0,1,3: 86:[18, 45] Operation: 8+37=45
Moving to Node #0,0,3
Current State: 86:[3, 44], Operations: ['18-15=3', '52-8=44']
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,86 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,86 unequal: No Solution
Exploring Operation: 3*44=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[52, 5], Operations: ['18-15=3', '8-3=5']
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,86 unequal: No Solution
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,86 unequal: No Solution
Exploring Operation: 52*5=260, Resulting Numbers: [260]
260,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[8, 49], Operations: ['18-15=3', '52-3=49']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,86 unequal: No Solution
Exploring Operation: 8*49=392, Resulting Numbers: [392]
392,86 unequal: No Solution
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,86 unequal: No Solution
Moving to Node #0,3,2
Current State: 86:[8, 49], Operations: ['52-18=34', '15+34=49']
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,86 unequal: No Solution
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,86 unequal: No Solution
Exploring Operation: 8*49=392, Resulting Numbers: [392]
392,86 unequal: No Solution
Moving to Node #0,3,3
Current State: 86:[15, 42], Operations: ['52-18=34', '8+34=42']
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,86 unequal: No Solution
Exploring Operation: 15*42=630, Resulting Numbers: [630]
630,86 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Moving to Node #0,3,1
Current State: 86:[34, 7], Operations: ['52-18=34', '15-8=7']
Exploring Operation: 34+7=41, Resulting Numbers: [41]
41,86 unequal: No Solution
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 34*7=238, Resulting Numbers: [238]
238,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[37, 10], Operations: ['52-15=37', '18-8=10']
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 37+10=47, Resulting Numbers: [47]
47,86 unequal: No Solution
Exploring Operation: 37*10=370, Resulting Numbers: [370]
370,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[18, 45], Operations: ['52-15=37', '8+37=45']
Exploring Operation: 18+45=63, Resulting Numbers: [63]
63,86 unequal: No Solution
Exploring Operation: 18*45=810, Resulting Numbers: [810]
810,86 unequal: No Solution
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[8, 55], Operations: ['52-15=37', '18+37=55']
Exploring Operation: 8*55=440, Resulting Numbers: [440]
440,86 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,86 unequal: No Solution
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[3, 60], Operations: ['18-15=3', '52+8=60']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,86 unequal: No Solution
Exploring Operation: 3*60=180, Resulting Numbers: [180]
180,86 unequal: No Solution
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,86 unequal: No Solution
Exploring Operation: 3+60=63, Resulting Numbers: [63]
63,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[37, 26], Operations: ['52-15=37', '18+8=26']
Exploring Operation: 37*26=962, Resulting Numbers: [962]
962,86 unequal: No Solution
Exploring Operation: 37-26=11, Resulting Numbers: [11]
11,86 unequal: No Solution
Exploring Operation: 37+26=63, Resulting Numbers: [63]
63,86 unequal: No Solution
Moving to Node #0,3,0
Current State: 86:[8, 19], Operations: ['52-18=34', '34-15=19']
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,86 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,86 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
40,
88,
21,
46
] | 20 | [
"40*21=840",
"88-46=42",
"840/42=20"
] | Current State: 20:[40, 88, 21, 46], Operations: []
Exploring Operation: 40*21=840, Resulting Numbers: [88, 46, 840]
Generated Node #2: [88, 46, 840] from Operation: 40*21=840
Current State: 20:[88, 46, 840], Operations: ['40*21=840']
Exploring Operation: 88-46=42, Resulting Numbers: [840, 42]
Generated Node #3: [840, 42] from Operation: 88-46=42
Current State: 20:[840, 42], Operations: ['40*21=840', '88-46=42']
Exploring Operation: 840/42=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[40, 88, 21, 46], Operations: []
Exploring Operation: 88-40=48, Resulting Numbers: [21, 46, 48]
Generated Node #0,0: 20:[21, 46, 48] Operation: 88-40=48
Exploring Operation: 88-46=42, Resulting Numbers: [40, 21, 42]
Generated Node #0,1: 20:[40, 21, 42] Operation: 88-46=42
Exploring Operation: 46-40=6, Resulting Numbers: [88, 21, 6]
Generated Node #0,2: 20:[88, 21, 6] Operation: 46-40=6
Moving to Node #0,1
Current State: 20:[40, 21, 42], Operations: ['88-46=42']
Exploring Operation: 42-21=21, Resulting Numbers: [40, 21]
Generated Node #0,1,0: 20:[40, 21] Operation: 42-21=21
Exploring Operation: 42/21=2, Resulting Numbers: [40, 2]
Generated Node #0,1,1: 20:[40, 2] Operation: 42/21=2
Exploring Operation: 42-40=2, Resulting Numbers: [21, 2]
Generated Node #0,1,2: 20:[21, 2] Operation: 42-40=2
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 20:[21, 2], Operations: ['88-46=42', '42-40=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,20 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,20 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,20 unequal: No Solution
No solution 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: 20:[40, 2], Operations: ['88-46=42', '42/21=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,20 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[40, 88, 21, 46], Operations: []
Exploring Operation: 88-46=42, Resulting Numbers: [40, 21, 42]
Generated Node #0,1: 20:[40, 21, 42] Operation: 88-46=42
Moving to Node #0,1
Current State: 20:[40, 21, 42], Operations: ['88-46=42']
Exploring Operation: 42/21=2, Resulting Numbers: [40, 2]
Generated Node #0,1,1: 20:[40, 2] Operation: 42/21=2
Moving to Node #0,1,1
Current State: 20:[40, 2], Operations: ['88-46=42', '42/21=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
60,
98,
49,
78
] | 46 | [
"98-78=20",
"60/20=3",
"49-3=46"
] | Current State: 46:[60, 98, 49, 78], Operations: []
Exploring Operation: 98-78=20, Resulting Numbers: [60, 49, 20]
Generated Node #2: [60, 49, 20] from Operation: 98-78=20
Current State: 46:[60, 49, 20], Operations: ['98-78=20']
Exploring Operation: 60/20=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 60/20=3
Current State: 46:[49, 3], Operations: ['98-78=20', '60/20=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[60, 98, 49, 78], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [49, 78, 38]
Generated Node #0,0: 46:[49, 78, 38] Operation: 98-60=38
Exploring Operation: 98/49=2, Resulting Numbers: [60, 78, 2]
Generated Node #0,1: 46:[60, 78, 2] Operation: 98/49=2
Exploring Operation: 98-78=20, Resulting Numbers: [60, 49, 20]
Generated Node #0,2: 46:[60, 49, 20] Operation: 98-78=20
Moving to Node #0,2
Current State: 46:[60, 49, 20], Operations: ['98-78=20']
Exploring Operation: 60-20=40, Resulting Numbers: [49, 40]
Generated Node #0,2,0: 46:[49, 40] Operation: 60-20=40
Exploring Operation: 60-49=11, Resulting Numbers: [20, 11]
Generated Node #0,2,1: 46:[20, 11] Operation: 60-49=11
Exploring Operation: 60/20=3, Resulting Numbers: [49, 3]
Generated Node #0,2,2: 46:[49, 3] Operation: 60/20=3
Moving to Node #0,0
Current State: 46:[49, 78, 38], Operations: ['98-60=38']
Exploring Operation: 78-49=29, Resulting Numbers: [38, 29]
Generated Node #0,0,0: 46:[38, 29] Operation: 78-49=29
Exploring Operation: 78-38=40, Resulting Numbers: [49, 40]
Generated Node #0,0,1: 46:[49, 40] Operation: 78-38=40
Exploring Operation: 49-38=11, Resulting Numbers: [78, 11]
Generated Node #0,0,2: 46:[78, 11] Operation: 49-38=11
Moving to Node #0,1
Current State: 46:[60, 78, 2], Operations: ['98/49=2']
Exploring Operation: 60/2=30, Resulting Numbers: [78, 30]
Generated Node #0,1,0: 46:[78, 30] Operation: 60/2=30
Exploring Operation: 78/2=39, Resulting Numbers: [60, 39]
Generated Node #0,1,1: 46:[60, 39] Operation: 78/2=39
Exploring Operation: 78-60=18, Resulting Numbers: [2, 18]
Generated Node #0,1,2: 46:[2, 18] Operation: 78-60=18
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[2, 18], Operations: ['98/49=2', '78-60=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,46 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[60, 39], Operations: ['98/49=2', '78/2=39']
Exploring Operation: 60+39=99, Resulting Numbers: [99]
99,46 unequal: No Solution
Exploring Operation: 60*39=2340, Resulting Numbers: [2340]
2340,46 unequal: No Solution
Exploring Operation: 60-39=21, Resulting Numbers: [21]
21,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[78, 30], Operations: ['98/49=2', '60/2=30']
Exploring Operation: 78+30=108, Resulting Numbers: [108]
108,46 unequal: No Solution
Exploring Operation: 78*30=2340, Resulting Numbers: [2340]
2340,46 unequal: No Solution
Exploring Operation: 78-30=48, Resulting Numbers: [48]
48,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 46:[49, 3], Operations: ['98-78=20', '60/20=3']
Exploring Operation: 49*3=147, Resulting Numbers: [147]
147,46 unequal: No Solution
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,46 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[60, 98, 49, 78], Operations: []
Exploring Operation: 98-78=20, Resulting Numbers: [60, 49, 20]
Generated Node #0,2: 46:[60, 49, 20] Operation: 98-78=20
Moving to Node #0,2
Current State: 46:[60, 49, 20], Operations: ['98-78=20']
Exploring Operation: 60/20=3, Resulting Numbers: [49, 3]
Generated Node #0,2,2: 46:[49, 3] Operation: 60/20=3
Moving to Node #0,2,2
Current State: 46:[49, 3], Operations: ['98-78=20', '60/20=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.975694 | hs_3 | sum_heuristic |
[
54,
81,
55,
28
] | 52 | [
"54+81=135",
"55+28=83",
"135-83=52"
] | Current State: 52:[54, 81, 55, 28], Operations: []
Exploring Operation: 54+81=135, Resulting Numbers: [55, 28, 135]
Generated Node #2: [55, 28, 135] from Operation: 54+81=135
Current State: 52:[55, 28, 135], Operations: ['54+81=135']
Exploring Operation: 55+28=83, Resulting Numbers: [135, 83]
Generated Node #3: [135, 83] from Operation: 55+28=83
Current State: 52:[135, 83], Operations: ['54+81=135', '55+28=83']
Exploring Operation: 135-83=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[54, 81, 55, 28], Operations: []
Exploring Operation: 81-55=26, Resulting Numbers: [54, 28, 26]
Generated Node #0,0: 52:[54, 28, 26] Operation: 81-55=26
Moving to Node #0,0
Current State: 52:[54, 28, 26], Operations: ['81-55=26']
Exploring Operation: 54-28=26, Resulting Numbers: [26, 26]
Generated Node #0,0,0: 52:[26, 26] Operation: 54-28=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[26, 26], Operations: ['81-55=26', '54-28=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[54, 81, 55, 28], Operations: []
Exploring Operation: 81-55=26, Resulting Numbers: [54, 28, 26]
Generated Node #0,0: 52:[54, 28, 26] Operation: 81-55=26
Moving to Node #0,0
Current State: 52:[54, 28, 26], Operations: ['81-55=26']
Exploring Operation: 54-28=26, Resulting Numbers: [26, 26]
Generated Node #0,0,0: 52:[26, 26] Operation: 54-28=26
Moving to Node #0,0,0
Current State: 52:[26, 26], Operations: ['81-55=26', '54-28=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
3,
86,
47,
5
] | 74 | [
"86-5=81",
"81/3=27",
"47+27=74"
] | Current State: 74:[3, 86, 47, 5], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [3, 47, 81]
Generated Node #2: [3, 47, 81] from Operation: 86-5=81
Current State: 74:[3, 47, 81], Operations: ['86-5=81']
Exploring Operation: 81/3=27, Resulting Numbers: [47, 27]
Generated Node #3: [47, 27] from Operation: 81/3=27
Current State: 74:[47, 27], Operations: ['86-5=81', '81/3=27']
Exploring Operation: 47+27=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[3, 86, 47, 5], Operations: []
Exploring Operation: 86-47=39, Resulting Numbers: [3, 5, 39]
Generated Node #0,0: 74:[3, 5, 39] Operation: 86-47=39
Exploring Operation: 86-5=81, Resulting Numbers: [3, 47, 81]
Generated Node #0,1: 74:[3, 47, 81] Operation: 86-5=81
Exploring Operation: 47-5=42, Resulting Numbers: [3, 86, 42]
Generated Node #0,2: 74:[3, 86, 42] Operation: 47-5=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[3, 5, 39], Operations: ['86-47=39']
Exploring Operation: 39-3=36, Resulting Numbers: [5, 36]
Generated Node #0,0,0: 74:[5, 36] Operation: 39-3=36
Exploring Operation: 39-5=34, Resulting Numbers: [3, 34]
Generated Node #0,0,1: 74:[3, 34] Operation: 39-5=34
Exploring Operation: 5-3=2, Resulting Numbers: [39, 2]
Generated Node #0,0,2: 74:[39, 2] Operation: 5-3=2
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 74:[39, 2], Operations: ['86-47=39', '5-3=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,74 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:[5, 36], Operations: ['86-47=39', '39-3=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,74 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 #0,0,1
Current State: 74:[3, 34], Operations: ['86-47=39', '39-5=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,74 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,74 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 #0,1
Current State: 74:[3, 47, 81], Operations: ['86-5=81']
Exploring Operation: 81-47=34, Resulting Numbers: [3, 34]
Generated Node #0,1,0: 74:[3, 34] Operation: 81-47=34
Exploring Operation: 47-3=44, Resulting Numbers: [81, 44]
Generated Node #0,1,1: 74:[81, 44] Operation: 47-3=44
Exploring Operation: 81-3=78, Resulting Numbers: [47, 78]
Generated Node #0,1,2: 74:[47, 78] Operation: 81-3=78
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 74:[3, 34], Operations: ['86-5=81', '81-47=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,74 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,74 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 #0,1,1
Current State: 74:[81, 44], Operations: ['86-5=81', '47-3=44']
Exploring Operation: 81+44=125, Resulting Numbers: [125]
125,74 unequal: No Solution
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 81*44=3564, Resulting Numbers: [3564]
3564,74 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 #0,1,2
Current State: 74:[47, 78], Operations: ['86-5=81', '81-3=78']
Exploring Operation: 78-47=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 47+78=125, Resulting Numbers: [125]
125,74 unequal: No Solution
Exploring Operation: 47*78=3666, Resulting Numbers: [3666]
3666,74 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 #0,2
Current State: 74:[3, 86, 42], Operations: ['47-5=42']
Exploring Operation: 86-3=83, Resulting Numbers: [42, 83]
Generated Node #0,2,0: 74:[42, 83] Operation: 86-3=83
Exploring Operation: 86-42=44, Resulting Numbers: [3, 44]
Generated Node #0,2,1: 74:[3, 44] Operation: 86-42=44
Exploring Operation: 42-3=39, Resulting Numbers: [86, 39]
Generated Node #0,2,2: 74:[86, 39] Operation: 42-3=39
Moving to Node #0,2,1
Current State: 74:[3, 44], Operations: ['47-5=42', '86-42=44']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Exploring Operation: 3*44=132, Resulting Numbers: [132]
132,74 unequal: No Solution
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Moving to Node #0,2,0
Current State: 74:[42, 83], Operations: ['47-5=42', '86-3=83']
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Exploring Operation: 42+83=125, Resulting Numbers: [125]
125,74 unequal: No Solution
Exploring Operation: 42*83=3486, Resulting Numbers: [3486]
3486,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[86, 39], Operations: ['47-5=42', '42-3=39']
Exploring Operation: 86*39=3354, Resulting Numbers: [3354]
3354,74 unequal: No Solution
Exploring Operation: 86+39=125, Resulting Numbers: [125]
125,74 unequal: No Solution
Exploring Operation: 86-39=47, Resulting Numbers: [47]
47,74 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 |
[
56,
41,
6,
5
] | 51 | [
"56-6=50",
"50/5=10",
"41+10=51"
] | Current State: 51:[56, 41, 6, 5], Operations: []
Exploring Operation: 56-6=50, Resulting Numbers: [41, 5, 50]
Generated Node #2: [41, 5, 50] from Operation: 56-6=50
Current State: 51:[41, 5, 50], Operations: ['56-6=50']
Exploring Operation: 50/5=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 50/5=10
Current State: 51:[41, 10], Operations: ['56-6=50', '50/5=10']
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[56, 41, 6, 5], Operations: []
Exploring Operation: 56-6=50, Resulting Numbers: [41, 5, 50]
Generated Node #0,0: 51:[41, 5, 50] Operation: 56-6=50
Exploring Operation: 41+6=47, Resulting Numbers: [56, 5, 47]
Generated Node #0,1: 51:[56, 5, 47] Operation: 41+6=47
Exploring Operation: 56-5=51, Resulting Numbers: [41, 6, 51]
Generated Node #0,2: 51:[41, 6, 51] Operation: 56-5=51
Exploring Operation: 56-41=15, Resulting Numbers: [6, 5, 15]
Generated Node #0,3: 51:[6, 5, 15] Operation: 56-41=15
Moving to Node #0,3
Current State: 51:[6, 5, 15], Operations: ['56-41=15']
Exploring Operation: 6-5=1, Resulting Numbers: [15, 1]
Generated Node #0,3,0: 51:[15, 1] Operation: 6-5=1
Exploring Operation: 5+15=20, Resulting Numbers: [6, 20]
Generated Node #0,3,1: 51:[6, 20] Operation: 5+15=20
Exploring Operation: 15/5=3, Resulting Numbers: [6, 3]
Generated Node #0,3,2: 51:[6, 3] Operation: 15/5=3
Exploring Operation: 6+15=21, Resulting Numbers: [5, 21]
Generated Node #0,3,3: 51:[5, 21] Operation: 6+15=21
Moving to Node #0,1
Current State: 51:[56, 5, 47], Operations: ['41+6=47']
Exploring Operation: 56-47=9, Resulting Numbers: [5, 9]
Generated Node #0,1,0: 51:[5, 9] Operation: 56-47=9
Exploring Operation: 56+5=61, Resulting Numbers: [47, 61]
Generated Node #0,1,1: 51:[47, 61] Operation: 56+5=61
Exploring Operation: 5+47=52, Resulting Numbers: [56, 52]
Generated Node #0,1,2: 51:[56, 52] Operation: 5+47=52
Exploring Operation: 56-5=51, Resulting Numbers: [47, 51]
Generated Node #0,1,3: 51:[47, 51] Operation: 56-5=51
Moving to Node #0,2
Current State: 51:[41, 6, 51], Operations: ['56-5=51']
Exploring Operation: 51-41=10, Resulting Numbers: [6, 10]
Generated Node #0,2,0: 51:[6, 10] Operation: 51-41=10
Exploring Operation: 41+6=47, Resulting Numbers: [51, 47]
Generated Node #0,2,1: 51:[51, 47] Operation: 41+6=47
Exploring Operation: 41-6=35, Resulting Numbers: [51, 35]
Generated Node #0,2,2: 51:[51, 35] Operation: 41-6=35
Exploring Operation: 6+51=57, Resulting Numbers: [41, 57]
Generated Node #0,2,3: 51:[41, 57] Operation: 6+51=57
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 51:[51, 47], Operations: ['56-5=51', '41+6=47']
Exploring Operation: 51*47=2397, Resulting Numbers: [2397]
2397,51 unequal: No Solution
Exploring Operation: 51-47=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 51+47=98, Resulting Numbers: [98]
98,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[6, 10], Operations: ['56-5=51', '51-41=10']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 51:[51, 35], Operations: ['56-5=51', '41-6=35']
Exploring Operation: 51*35=1785, Resulting Numbers: [1785]
1785,51 unequal: No Solution
Exploring Operation: 51-35=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Exploring Operation: 51+35=86, Resulting Numbers: [86]
86,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 51:[41, 57], Operations: ['56-5=51', '6+51=57']
Exploring Operation: 41+57=98, Resulting Numbers: [98]
98,51 unequal: No Solution
Exploring Operation: 57-41=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Exploring Operation: 41*57=2337, Resulting Numbers: [2337]
2337,51 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: 51:[41, 5, 50], Operations: ['56-6=50']
Exploring Operation: 50-41=9, Resulting Numbers: [5, 9]
Generated Node #0,0,0: 51:[5, 9] Operation: 50-41=9
Exploring Operation: 41-5=36, Resulting Numbers: [50, 36]
Generated Node #0,0,1: 51:[50, 36] Operation: 41-5=36
Exploring Operation: 41+5=46, Resulting Numbers: [50, 46]
Generated Node #0,0,2: 51:[50, 46] Operation: 41+5=46
Exploring Operation: 5+50=55, Resulting Numbers: [41, 55]
Generated Node #0,0,3: 51:[41, 55] Operation: 5+50=55
Moving to Node #0,3,2
Current State: 51:[6, 3], Operations: ['56-41=15', '15/5=3']
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,51 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Moving to Node #0,3,0
Current State: 51:[15, 1], Operations: ['56-41=15', '6-5=1']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Moving to Node #0,1,3
Current State: 51:[47, 51], Operations: ['41+6=47', '56-5=51']
Exploring Operation: 47*51=2397, Resulting Numbers: [2397]
2397,51 unequal: No Solution
Exploring Operation: 51-47=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 47+51=98, Resulting Numbers: [98]
98,51 unequal: No Solution
Moving to Node #0,3,1
Current State: 51:[6, 20], Operations: ['56-41=15', '5+15=20']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,51 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[56, 52], Operations: ['41+6=47', '5+47=52']
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 56*52=2912, Resulting Numbers: [2912]
2912,51 unequal: No Solution
Exploring Operation: 56+52=108, Resulting Numbers: [108]
108,51 unequal: No Solution
Moving to Node #0,3,3
Current State: 51:[5, 21], Operations: ['56-41=15', '6+15=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[50, 46], Operations: ['56-6=50', '41+5=46']
Exploring Operation: 50*46=2300, Resulting Numbers: [2300]
2300,51 unequal: No Solution
Exploring Operation: 50+46=96, Resulting Numbers: [96]
96,51 unequal: No Solution
Exploring Operation: 50-46=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[5, 9], Operations: ['41+6=47', '56-47=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[5, 9], Operations: ['56-6=50', '50-41=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[47, 61], Operations: ['41+6=47', '56+5=61']
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,51 unequal: No Solution
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,51 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[41, 55], Operations: ['56-6=50', '5+50=55']
Exploring Operation: 41+55=96, Resulting Numbers: [96]
96,51 unequal: No Solution
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 41*55=2255, Resulting Numbers: [2255]
2255,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[50, 36], Operations: ['56-6=50', '41-5=36']
Exploring Operation: 50+36=86, Resulting Numbers: [86]
86,51 unequal: No Solution
Exploring Operation: 50-36=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 50*36=1800, Resulting Numbers: [1800]
1800,51 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
77,
29,
66,
52
] | 70 | [
"77-29=48",
"66+52=118",
"118-48=70"
] | Current State: 70:[77, 29, 66, 52], Operations: []
Exploring Operation: 77-29=48, Resulting Numbers: [66, 52, 48]
Generated Node #2: [66, 52, 48] from Operation: 77-29=48
Current State: 70:[66, 52, 48], Operations: ['77-29=48']
Exploring Operation: 66+52=118, Resulting Numbers: [48, 118]
Generated Node #3: [48, 118] from Operation: 66+52=118
Current State: 70:[48, 118], Operations: ['77-29=48', '66+52=118']
Exploring Operation: 118-48=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[77, 29, 66, 52], Operations: []
Exploring Operation: 52-29=23, Resulting Numbers: [77, 66, 23]
Generated Node #0,0: 70:[77, 66, 23] Operation: 52-29=23
Exploring Operation: 66-52=14, Resulting Numbers: [77, 29, 14]
Generated Node #0,1: 70:[77, 29, 14] Operation: 66-52=14
Exploring Operation: 77-52=25, Resulting Numbers: [29, 66, 25]
Generated Node #0,2: 70:[29, 66, 25] Operation: 77-52=25
Moving to Node #0,1
Current State: 70:[77, 29, 14], Operations: ['66-52=14']
Exploring Operation: 77-29=48, Resulting Numbers: [14, 48]
Generated Node #0,1,0: 70:[14, 48] Operation: 77-29=48
Exploring Operation: 29-14=15, Resulting Numbers: [77, 15]
Generated Node #0,1,1: 70:[77, 15] Operation: 29-14=15
Exploring Operation: 77-14=63, Resulting Numbers: [29, 63]
Generated Node #0,1,2: 70:[29, 63] Operation: 77-14=63
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 70:[77, 15], Operations: ['66-52=14', '29-14=15']
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,70 unequal: No Solution
Exploring Operation: 77+15=92, Resulting Numbers: [92]
92,70 unequal: No Solution
Exploring Operation: 77*15=1155, Resulting Numbers: [1155]
1155,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 70:[14, 48], Operations: ['66-52=14', '77-29=48']
Exploring Operation: 14+48=62, Resulting Numbers: [62]
62,70 unequal: No Solution
Exploring Operation: 14*48=672, Resulting Numbers: [672]
672,70 unequal: No Solution
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 70:[29, 63], Operations: ['66-52=14', '77-14=63']
Exploring Operation: 29*63=1827, Resulting Numbers: [1827]
1827,70 unequal: No Solution
Exploring Operation: 29+63=92, Resulting Numbers: [92]
92,70 unequal: No Solution
Exploring Operation: 63-29=34, Resulting Numbers: [34]
34,70 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: 70:[77, 66, 23], Operations: ['52-29=23']
Exploring Operation: 77-23=54, Resulting Numbers: [66, 54]
Generated Node #0,0,0: 70:[66, 54] Operation: 77-23=54
Exploring Operation: 77-66=11, Resulting Numbers: [23, 11]
Generated Node #0,0,1: 70:[23, 11] Operation: 77-66=11
Exploring Operation: 66-23=43, Resulting Numbers: [77, 43]
Generated Node #0,0,2: 70:[77, 43] Operation: 66-23=43
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[23, 11], Operations: ['52-29=23', '77-66=11']
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,70 unequal: No Solution
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 23*11=253, Resulting Numbers: [253]
253,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[77, 43], Operations: ['52-29=23', '66-23=43']
Exploring Operation: 77+43=120, Resulting Numbers: [120]
120,70 unequal: No Solution
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 77*43=3311, Resulting Numbers: [3311]
3311,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[66, 54], Operations: ['52-29=23', '77-23=54']
Exploring Operation: 66+54=120, Resulting Numbers: [120]
120,70 unequal: No Solution
Exploring Operation: 66*54=3564, Resulting Numbers: [3564]
3564,70 unequal: No Solution
Exploring Operation: 66-54=12, Resulting Numbers: [12]
12,70 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: 70:[29, 66, 25], Operations: ['77-52=25']
Exploring Operation: 29-25=4, Resulting Numbers: [66, 4]
Generated Node #0,2,0: 70:[66, 4] Operation: 29-25=4
Exploring Operation: 66-29=37, Resulting Numbers: [25, 37]
Generated Node #0,2,1: 70:[25, 37] Operation: 66-29=37
Exploring Operation: 66-25=41, Resulting Numbers: [29, 41]
Generated Node #0,2,2: 70:[29, 41] Operation: 66-25=41
Moving to Node #0,2,0
Current State: 70:[66, 4], Operations: ['77-52=25', '29-25=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[77, 29, 66, 52], Operations: []
Exploring Operation: 77-52=25, Resulting Numbers: [29, 66, 25]
Generated Node #0,2: 70:[29, 66, 25] Operation: 77-52=25
Moving to Node #0,2
Current State: 70:[29, 66, 25], Operations: ['77-52=25']
Exploring Operation: 29-25=4, Resulting Numbers: [66, 4]
Generated Node #0,2,0: 70:[66, 4] Operation: 29-25=4
Moving to Node #0,2,0
Current State: 70:[66, 4], Operations: ['77-52=25', '29-25=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.969618 | hs_3 | mult_heuristic |
[
33,
8,
41,
39
] | 49 | [
"41-39=2",
"8*2=16",
"33+16=49"
] | Current State: 49:[33, 8, 41, 39], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [33, 8, 2]
Generated Node #2: [33, 8, 2] from Operation: 41-39=2
Current State: 49:[33, 8, 2], Operations: ['41-39=2']
Exploring Operation: 8*2=16, Resulting Numbers: [33, 16]
Generated Node #3: [33, 16] from Operation: 8*2=16
Current State: 49:[33, 16], Operations: ['41-39=2', '8*2=16']
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[33, 8, 41, 39], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [8, 41, 6]
Generated Node #0,0: 49:[8, 41, 6] Operation: 39-33=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[8, 41, 6], Operations: ['39-33=6']
Exploring Operation: 8+41=49, Resulting Numbers: [6, 49]
Generated Node #0,0,0: 49:[6, 49] Operation: 8+41=49
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[6, 49], Operations: ['39-33=6', '8+41=49']
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
24,
87,
31,
2
] | 88 | [
"87-31=56",
"2*56=112",
"112-24=88"
] | Current State: 88:[24, 87, 31, 2], Operations: []
Exploring Operation: 87-31=56, Resulting Numbers: [24, 2, 56]
Generated Node #2: [24, 2, 56] from Operation: 87-31=56
Current State: 88:[24, 2, 56], Operations: ['87-31=56']
Exploring Operation: 2*56=112, Resulting Numbers: [24, 112]
Generated Node #3: [24, 112] from Operation: 2*56=112
Current State: 88:[24, 112], Operations: ['87-31=56', '2*56=112']
Exploring Operation: 112-24=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[24, 87, 31, 2], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [87, 2, 7]
Generated Node #0,0: 88:[87, 2, 7] Operation: 31-24=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[87, 2, 7], Operations: ['31-24=7']
Exploring Operation: 87+2=89, Resulting Numbers: [7, 89]
Generated Node #0,0,0: 88:[7, 89] Operation: 87+2=89
Moving to Node #0,0,0
Current State: 88:[7, 89], Operations: ['31-24=7', '87+2=89']
Exploring Operation: 89-7=82, Resulting Numbers: [82]
82,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
40,
38,
29,
11
] | 37 | [
"40-29=11",
"11/11=1",
"38-1=37"
] | Current State: 37:[40, 38, 29, 11], Operations: []
Exploring Operation: 40-29=11, Resulting Numbers: [38, 11, 11]
Generated Node #2: [38, 11, 11] from Operation: 40-29=11
Current State: 37:[38, 11, 11], Operations: ['40-29=11']
Exploring Operation: 11/11=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 11/11=1
Current State: 37:[38, 1], Operations: ['40-29=11', '11/11=1']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[40, 38, 29, 11], Operations: []
Exploring Operation: 40+11=51, Resulting Numbers: [38, 29, 51]
Generated Node #0,0: 37:[38, 29, 51] Operation: 40+11=51
Exploring Operation: 38+11=49, Resulting Numbers: [40, 29, 49]
Generated Node #0,1: 37:[40, 29, 49] Operation: 38+11=49
Exploring Operation: 29+11=40, Resulting Numbers: [40, 38, 40]
Generated Node #0,2: 37:[40, 38, 40] Operation: 29+11=40
Exploring Operation: 38-11=27, Resulting Numbers: [40, 29, 27]
Generated Node #0,3: 37:[40, 29, 27] Operation: 38-11=27
Exploring Operation: 40-11=29, Resulting Numbers: [38, 29, 29]
Generated Node #0,4: 37:[38, 29, 29] Operation: 40-11=29
Moving to Node #0,2
Current State: 37:[40, 38, 40], Operations: ['29+11=40']
Exploring Operation: 40+38=78, Resulting Numbers: [40, 78]
Generated Node #0,2,0: 37:[40, 78] Operation: 40+38=78
Exploring Operation: 40-38=2, Resulting Numbers: [40, 2]
Generated Node #0,2,1: 37:[40, 2] Operation: 40-38=2
Exploring Operation: 40-38=2, Resulting Numbers: [40, 2]
Generated Node #0,2,2: 37:[40, 2] Operation: 40-38=2
Exploring Operation: 40/40=1, Resulting Numbers: [38, 1]
Generated Node #0,2,3: 37:[38, 1] Operation: 40/40=1
Exploring Operation: 40-40=0, Resulting Numbers: [38, 0]
Generated Node #0,2,4: 37:[38, 0] Operation: 40-40=0
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 37:[38, 1], Operations: ['29+11=40', '40/40=1']
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,37 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[40, 38, 29, 11], Operations: []
Exploring Operation: 29+11=40, Resulting Numbers: [40, 38, 40]
Generated Node #0,2: 37:[40, 38, 40] Operation: 29+11=40
Moving to Node #0,2
Current State: 37:[40, 38, 40], Operations: ['29+11=40']
Exploring Operation: 40/40=1, Resulting Numbers: [38, 1]
Generated Node #0,2,3: 37:[38, 1] Operation: 40/40=1
Moving to Node #0,2,3
Current State: 37:[38, 1], Operations: ['29+11=40', '40/40=1']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
40,
2,
22,
37
] | 16 | [
"40-37=3",
"2*3=6",
"22-6=16"
] | Current State: 16:[40, 2, 22, 37], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [2, 22, 3]
Generated Node #2: [2, 22, 3] from Operation: 40-37=3
Current State: 16:[2, 22, 3], Operations: ['40-37=3']
Exploring Operation: 2*3=6, Resulting Numbers: [22, 6]
Generated Node #3: [22, 6] from Operation: 2*3=6
Current State: 16:[22, 6], Operations: ['40-37=3', '2*3=6']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[40, 2, 22, 37], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [2, 22, 3]
Generated Node #0,0: 16:[2, 22, 3] Operation: 40-37=3
Moving to Node #0,0
Current State: 16:[2, 22, 3], Operations: ['40-37=3']
Exploring Operation: 22-3=19, Resulting Numbers: [2, 19]
Generated Node #0,0,0: 16:[2, 19] Operation: 22-3=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[2, 19], Operations: ['40-37=3', '22-3=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,16 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 |
[
61,
58,
2,
34
] | 96 | [
"61-58=3",
"34-2=32",
"3*32=96"
] | Current State: 96:[61, 58, 2, 34], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [2, 34, 3]
Generated Node #2: [2, 34, 3] from Operation: 61-58=3
Current State: 96:[2, 34, 3], Operations: ['61-58=3']
Exploring Operation: 34-2=32, Resulting Numbers: [3, 32]
Generated Node #3: [3, 32] from Operation: 34-2=32
Current State: 96:[3, 32], Operations: ['61-58=3', '34-2=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[61, 58, 2, 34], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [2, 34, 3]
Generated Node #0,0: 96:[2, 34, 3] Operation: 61-58=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[2, 34, 3], Operations: ['61-58=3']
Exploring Operation: 34-2=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 96:[3, 32] Operation: 34-2=32
Moving to Node #0,0,0
Current State: 96:[3, 32], Operations: ['61-58=3', '34-2=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[61, 58, 2, 34], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [2, 34, 3]
Generated Node #0,0: 96:[2, 34, 3] Operation: 61-58=3
Moving to Node #0,0
Current State: 96:[2, 34, 3], Operations: ['61-58=3']
Exploring Operation: 34-2=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 96:[3, 32] Operation: 34-2=32
Moving to Node #0,0,0
Current State: 96:[3, 32], Operations: ['61-58=3', '34-2=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
11,
40,
28,
17
] | 44 | [
"40+28=68",
"11*68=748",
"748/17=44"
] | Current State: 44:[11, 40, 28, 17], Operations: []
Exploring Operation: 40+28=68, Resulting Numbers: [11, 17, 68]
Generated Node #2: [11, 17, 68] from Operation: 40+28=68
Current State: 44:[11, 17, 68], Operations: ['40+28=68']
Exploring Operation: 11*68=748, Resulting Numbers: [17, 748]
Generated Node #3: [17, 748] from Operation: 11*68=748
Current State: 44:[17, 748], Operations: ['40+28=68', '11*68=748']
Exploring Operation: 748/17=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[11, 40, 28, 17], Operations: []
Exploring Operation: 40-28=12, Resulting Numbers: [11, 17, 12]
Generated Node #0,0: 44:[11, 17, 12] Operation: 40-28=12
Exploring Operation: 40-17=23, Resulting Numbers: [11, 28, 23]
Generated Node #0,1: 44:[11, 28, 23] Operation: 40-17=23
Exploring Operation: 28-17=11, Resulting Numbers: [11, 40, 11]
Generated Node #0,2: 44:[11, 40, 11] Operation: 28-17=11
Exploring Operation: 28+17=45, Resulting Numbers: [11, 40, 45]
Generated Node #0,3: 44:[11, 40, 45] Operation: 28+17=45
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[11, 40, 11], Operations: ['28-17=11']
Exploring Operation: 11+40=51, Resulting Numbers: [11, 51]
Generated Node #0,2,0: 44:[11, 51] Operation: 11+40=51
Exploring Operation: 11+11=22, Resulting Numbers: [40, 22]
Generated Node #0,2,1: 44:[40, 22] Operation: 11+11=22
Exploring Operation: 11/11=1, Resulting Numbers: [40, 1]
Generated Node #0,2,2: 44:[40, 1] Operation: 11/11=1
Exploring Operation: 11-11=0, Resulting Numbers: [40, 0]
Generated Node #0,2,3: 44:[40, 0] Operation: 11-11=0
Moving to Node #0,2,1
Current State: 44:[40, 22], Operations: ['28-17=11', '11+11=22']
Exploring Operation: 40+22=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 40*22=880, Resulting Numbers: [880]
880,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[40, 1], Operations: ['28-17=11', '11/11=1']
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Exploring Operation: 40+1=41, Resulting Numbers: [41]
41,44 unequal: No Solution
Moving to Node #0,2,3
Current State: 44:[40, 0], Operations: ['28-17=11', '11-11=0']
Exploring Operation: 40-0=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 40*0=0, Resulting Numbers: [0]
0,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[11, 51], Operations: ['28-17=11', '11+40=51']
Exploring Operation: 11*51=561, Resulting Numbers: [561]
561,44 unequal: No Solution
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 11+51=62, Resulting Numbers: [62]
62,44 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 #0,3
Current State: 44:[11, 40, 45], Operations: ['28+17=45']
Exploring Operation: 45-40=5, Resulting Numbers: [11, 5]
Generated Node #0,3,0: 44:[11, 5] Operation: 45-40=5
Exploring Operation: 45-11=34, Resulting Numbers: [40, 34]
Generated Node #0,3,1: 44:[40, 34] Operation: 45-11=34
Exploring Operation: 40-11=29, Resulting Numbers: [45, 29]
Generated Node #0,3,2: 44:[45, 29] Operation: 40-11=29
Exploring Operation: 11+40=51, Resulting Numbers: [45, 51]
Generated Node #0,3,3: 44:[45, 51] Operation: 11+40=51
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 44:[11, 5], Operations: ['28+17=45', '45-40=5']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,44 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,44 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,44 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:[45, 29], Operations: ['28+17=45', '40-11=29']
Exploring Operation: 45+29=74, Resulting Numbers: [74]
74,44 unequal: No Solution
Exploring Operation: 45*29=1305, Resulting Numbers: [1305]
1305,44 unequal: No Solution
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,44 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:[45, 51], Operations: ['28+17=45', '11+40=51']
Exploring Operation: 45*51=2295, Resulting Numbers: [2295]
2295,44 unequal: No Solution
Exploring Operation: 51-45=6, Resulting Numbers: [6]
6,44 unequal: No Solution
Exploring Operation: 45+51=96, Resulting Numbers: [96]
96,44 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:[40, 34], Operations: ['28+17=45', '45-11=34']
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,44 unequal: No Solution
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,44 unequal: No Solution
Exploring Operation: 40*34=1360, Resulting Numbers: [1360]
1360,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[11, 17, 12], Operations: ['40-28=12']
Exploring Operation: 12-11=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 44:[17, 1] Operation: 12-11=1
Exploring Operation: 17-12=5, Resulting Numbers: [11, 5]
Generated Node #0,0,1: 44:[11, 5] Operation: 17-12=5
Exploring Operation: 11+12=23, Resulting Numbers: [17, 23]
Generated Node #0,0,2: 44:[17, 23] Operation: 11+12=23
Exploring Operation: 17-11=6, Resulting Numbers: [12, 6]
Generated Node #0,0,3: 44:[12, 6] Operation: 17-11=6
Moving to Node #0,0,1
Current State: 44:[11, 5], Operations: ['40-28=12', '17-12=5']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,44 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,44 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Moving to Node #0,0,3
Current State: 44:[12, 6], Operations: ['40-28=12', '17-11=6']
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,44 unequal: No Solution
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,44 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[17, 23], Operations: ['40-28=12', '11+12=23']
Exploring Operation: 17*23=391, Resulting Numbers: [391]
391,44 unequal: No Solution
Exploring Operation: 17+23=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[17, 1], Operations: ['40-28=12', '12-11=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,44 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,44 unequal: No Solution
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,44 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
Current State: 44:[11, 28, 23], Operations: ['40-17=23']
Exploring Operation: 28-23=5, Resulting Numbers: [11, 5]
Generated Node #0,1,0: 44:[11, 5] Operation: 28-23=5
Exploring Operation: 23-11=12, Resulting Numbers: [28, 12]
Generated Node #0,1,1: 44:[28, 12] Operation: 23-11=12
Exploring Operation: 28-11=17, Resulting Numbers: [23, 17]
Generated Node #0,1,2: 44:[23, 17] Operation: 28-11=17
Exploring Operation: 11+28=39, Resulting Numbers: [23, 39]
Generated Node #0,1,3: 44:[23, 39] Operation: 11+28=39
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 44:[11, 5], Operations: ['40-17=23', '28-23=5']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,44 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,44 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 #0,1,2
Current State: 44:[23, 17], Operations: ['40-17=23', '28-11=17']
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,44 unequal: No Solution
Exploring Operation: 23*17=391, Resulting Numbers: [391]
391,44 unequal: No Solution
Exploring Operation: 23+17=40, Resulting Numbers: [40]
40,44 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 #0,1,3
Current State: 44:[23, 39], Operations: ['40-17=23', '11+28=39']
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,44 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 #0,1,1
Current State: 44:[28, 12], Operations: ['40-17=23', '23-11=12']
Exploring Operation: 28+12=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 28*12=336, Resulting Numbers: [336]
336,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
67,
61,
85,
32
] | 81 | [
"67+61=128",
"128/32=4",
"85-4=81"
] | Current State: 81:[67, 61, 85, 32], Operations: []
Exploring Operation: 67+61=128, Resulting Numbers: [85, 32, 128]
Generated Node #2: [85, 32, 128] from Operation: 67+61=128
Current State: 81:[85, 32, 128], Operations: ['67+61=128']
Exploring Operation: 128/32=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 128/32=4
Current State: 81:[85, 4], Operations: ['67+61=128', '128/32=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[67, 61, 85, 32], Operations: []
Exploring Operation: 67-61=6, Resulting Numbers: [85, 32, 6]
Generated Node #0,0: 81:[85, 32, 6] Operation: 67-61=6
Moving to Node #0,0
Current State: 81:[85, 32, 6], Operations: ['67-61=6']
Exploring Operation: 32-6=26, Resulting Numbers: [85, 26]
Generated Node #0,0,0: 81:[85, 26] Operation: 32-6=26
Moving to Node #0,0,0
Current State: 81:[85, 26], Operations: ['67-61=6', '32-6=26']
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,81 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
93,
11,
11,
8
] | 42 | [
"11-8=3",
"93/3=31",
"11+31=42"
] | Current State: 42:[93, 11, 11, 8], Operations: []
Exploring Operation: 11-8=3, Resulting Numbers: [93, 3]
Generated Node #2: [93, 3] from Operation: 11-8=3
Current State: 42:[93, 3], Operations: ['11-8=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,42 equal: Goal Reached
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[93, 11, 11, 8], Operations: []
Exploring Operation: 93-11=82, Resulting Numbers: [11, 8, 82]
Generated Node #0,0: 42:[11, 8, 82] Operation: 93-11=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[11, 8, 82], Operations: ['93-11=82']
Exploring Operation: 82-11=71, Resulting Numbers: [8, 71]
Generated Node #0,0,0: 42:[8, 71] Operation: 82-11=71
Moving to Node #0,0,0
Current State: 42:[8, 71], Operations: ['93-11=82', '82-11=71']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
2,
22,
70,
20
] | 34 | [
"70-2=68",
"22-20=2",
"68/2=34"
] | Current State: 34:[2, 22, 70, 20], Operations: []
Exploring Operation: 70-2=68, Resulting Numbers: [22, 20, 68]
Generated Node #2: [22, 20, 68] from Operation: 70-2=68
Current State: 34:[22, 20, 68], Operations: ['70-2=68']
Exploring Operation: 22-20=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 22-20=2
Current State: 34:[68, 2], Operations: ['70-2=68', '22-20=2']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[2, 22, 70, 20], Operations: []
Exploring Operation: 70/2=35, Resulting Numbers: [22, 20, 35]
Generated Node #0,0: 34:[22, 20, 35] Operation: 70/2=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[22, 20, 35], Operations: ['70/2=35']
Exploring Operation: 22-20=2, Resulting Numbers: [35, 2]
Generated Node #0,0,0: 34:[35, 2] Operation: 22-20=2
Moving to Node #0,0,0
Current State: 34:[35, 2], Operations: ['70/2=35', '22-20=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,34 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 |
[
38,
2,
5,
52
] | 34 | [
"38+5=43",
"2*43=86",
"86-52=34"
] | Current State: 34:[38, 2, 5, 52], Operations: []
Exploring Operation: 38+5=43, Resulting Numbers: [2, 52, 43]
Generated Node #2: [2, 52, 43] from Operation: 38+5=43
Current State: 34:[2, 52, 43], Operations: ['38+5=43']
Exploring Operation: 2*43=86, Resulting Numbers: [52, 86]
Generated Node #3: [52, 86] from Operation: 2*43=86
Current State: 34:[52, 86], Operations: ['38+5=43', '2*43=86']
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[38, 2, 5, 52], Operations: []
Exploring Operation: 52-5=47, Resulting Numbers: [38, 2, 47]
Generated Node #0,0: 34:[38, 2, 47] Operation: 52-5=47
Exploring Operation: 52/2=26, Resulting Numbers: [38, 5, 26]
Generated Node #0,1: 34:[38, 5, 26] Operation: 52/2=26
Exploring Operation: 52-38=14, Resulting Numbers: [2, 5, 14]
Generated Node #0,2: 34:[2, 5, 14] Operation: 52-38=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 34:[2, 5, 14], Operations: ['52-38=14']
Exploring Operation: 5+14=19, Resulting Numbers: [2, 19]
Generated Node #0,2,0: 34:[2, 19] Operation: 5+14=19
Exploring Operation: 5-2=3, Resulting Numbers: [14, 3]
Generated Node #0,2,1: 34:[14, 3] Operation: 5-2=3
Exploring Operation: 2+14=16, Resulting Numbers: [5, 16]
Generated Node #0,2,2: 34:[5, 16] Operation: 2+14=16
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 34:[2, 19], Operations: ['52-38=14', '5+14=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,34 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 34:[14, 3], Operations: ['52-38=14', '5-2=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,34 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 34:[5, 16], Operations: ['52-38=14', '2+14=16']
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[38, 5, 26], Operations: ['52/2=26']
Exploring Operation: 5+26=31, Resulting Numbers: [38, 31]
Generated Node #0,1,0: 34:[38, 31] Operation: 5+26=31
Exploring Operation: 38-26=12, Resulting Numbers: [5, 12]
Generated Node #0,1,1: 34:[5, 12] Operation: 38-26=12
Exploring Operation: 26-5=21, Resulting Numbers: [38, 21]
Generated Node #0,1,2: 34:[38, 21] Operation: 26-5=21
Moving to Node #0,1,0
Current State: 34:[38, 31], Operations: ['52/2=26', '5+26=31']
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 38*31=1178, Resulting Numbers: [1178]
1178,34 unequal: No Solution
Exploring Operation: 38+31=69, Resulting Numbers: [69]
69,34 unequal: No Solution
Moving to Node #0,1,1
Current State: 34:[5, 12], Operations: ['52/2=26', '38-26=12']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,34 unequal: No Solution
Moving to Node #0,1,2
Current State: 34:[38, 21], Operations: ['52/2=26', '26-5=21']
Exploring Operation: 38*21=798, Resulting Numbers: [798]
798,34 unequal: No Solution
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[38, 2, 47], Operations: ['52-5=47']
Exploring Operation: 38-2=36, Resulting Numbers: [47, 36]
Generated Node #0,0,0: 34:[47, 36] Operation: 38-2=36
Exploring Operation: 47-38=9, Resulting Numbers: [2, 9]
Generated Node #0,0,1: 34:[2, 9] Operation: 47-38=9
Exploring Operation: 38/2=19, Resulting Numbers: [47, 19]
Generated Node #0,0,2: 34:[47, 19] Operation: 38/2=19
Moving to Node #0,0,1
Current State: 34:[2, 9], Operations: ['52-5=47', '47-38=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,34 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[47, 36], Operations: ['52-5=47', '38-2=36']
Exploring Operation: 47+36=83, Resulting Numbers: [83]
83,34 unequal: No Solution
Exploring Operation: 47*36=1692, Resulting Numbers: [1692]
1692,34 unequal: No Solution
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[47, 19], Operations: ['52-5=47', '38/2=19']
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,34 unequal: No Solution
Exploring Operation: 47*19=893, Resulting Numbers: [893]
893,34 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,34 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 |
[
8,
63,
14,
17
] | 66 | [
"8*14=112",
"63-17=46",
"112-46=66"
] | Current State: 66:[8, 63, 14, 17], Operations: []
Exploring Operation: 8*14=112, Resulting Numbers: [63, 17, 112]
Generated Node #2: [63, 17, 112] from Operation: 8*14=112
Current State: 66:[63, 17, 112], Operations: ['8*14=112']
Exploring Operation: 63-17=46, Resulting Numbers: [112, 46]
Generated Node #3: [112, 46] from Operation: 63-17=46
Current State: 66:[112, 46], Operations: ['8*14=112', '63-17=46']
Exploring Operation: 112-46=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[8, 63, 14, 17], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [8, 63, 3]
Generated Node #0,0: 66:[8, 63, 3] Operation: 17-14=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[8, 63, 3], Operations: ['17-14=3']
Exploring Operation: 63+3=66, Resulting Numbers: [8, 66]
Generated Node #0,0,0: 66:[8, 66] Operation: 63+3=66
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[8, 66], Operations: ['17-14=3', '63+3=66']
Exploring Operation: 8+66=74, Resulting Numbers: [74]
74,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
15,
35,
93,
9
] | 48 | [
"15*35=525",
"525-93=432",
"432/9=48"
] | Current State: 48:[15, 35, 93, 9], Operations: []
Exploring Operation: 15*35=525, Resulting Numbers: [93, 9, 525]
Generated Node #2: [93, 9, 525] from Operation: 15*35=525
Current State: 48:[93, 9, 525], Operations: ['15*35=525']
Exploring Operation: 525-93=432, Resulting Numbers: [9, 432]
Generated Node #3: [9, 432] from Operation: 525-93=432
Current State: 48:[9, 432], Operations: ['15*35=525', '525-93=432']
Exploring Operation: 432/9=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[15, 35, 93, 9], Operations: []
Exploring Operation: 93-15=78, Resulting Numbers: [35, 9, 78]
Generated Node #0,0: 48:[35, 9, 78] Operation: 93-15=78
Exploring Operation: 93-35=58, Resulting Numbers: [15, 9, 58]
Generated Node #0,1: 48:[15, 9, 58] Operation: 93-35=58
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[15, 9, 58], Operations: ['93-35=58']
Exploring Operation: 58-9=49, Resulting Numbers: [15, 49]
Generated Node #0,1,0: 48:[15, 49] Operation: 58-9=49
Exploring Operation: 58-15=43, Resulting Numbers: [9, 43]
Generated Node #0,1,1: 48:[9, 43] Operation: 58-15=43
Moving to Node #0,1,0
Current State: 48:[15, 49], Operations: ['93-35=58', '58-9=49']
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 15+49=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[9, 43], Operations: ['93-35=58', '58-15=43']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 9+43=52, Resulting Numbers: [52]
52,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[35, 9, 78], Operations: ['93-15=78']
Exploring Operation: 78-35=43, Resulting Numbers: [9, 43]
Generated Node #0,0,0: 48:[9, 43] Operation: 78-35=43
Exploring Operation: 35-9=26, Resulting Numbers: [78, 26]
Generated Node #0,0,1: 48:[78, 26] Operation: 35-9=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[9, 43], Operations: ['93-15=78', '78-35=43']
Exploring Operation: 9+43=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[78, 26], Operations: ['93-15=78', '35-9=26']
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
18,
16,
70,
4
] | 68 | [
"18-16=2",
"70-4=66",
"2+66=68"
] | Current State: 68:[18, 16, 70, 4], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [70, 4, 2]
Generated Node #2: [70, 4, 2] from Operation: 18-16=2
Current State: 68:[70, 4, 2], Operations: ['18-16=2']
Exploring Operation: 70-4=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 70-4=66
Current State: 68:[2, 66], Operations: ['18-16=2', '70-4=66']
Exploring Operation: 2+66=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[18, 16, 70, 4], Operations: []
Exploring Operation: 18+16=34, Resulting Numbers: [70, 4, 34]
Generated Node #0,0: 68:[70, 4, 34] Operation: 18+16=34
Exploring Operation: 18-16=2, Resulting Numbers: [70, 4, 2]
Generated Node #0,1: 68:[70, 4, 2] Operation: 18-16=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[70, 4, 34], Operations: ['18+16=34']
Exploring Operation: 70-34=36, Resulting Numbers: [4, 36]
Generated Node #0,0,0: 68:[4, 36] Operation: 70-34=36
Exploring Operation: 70-4=66, Resulting Numbers: [34, 66]
Generated Node #0,0,1: 68:[34, 66] Operation: 70-4=66
Moving to Node #0,0,0
Current State: 68:[4, 36], Operations: ['18+16=34', '70-34=36']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[34, 66], Operations: ['18+16=34', '70-4=66']
Exploring Operation: 66-34=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 34+66=100, Resulting Numbers: [100]
100,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[70, 4, 2], Operations: ['18-16=2']
Exploring Operation: 70/2=35, Resulting Numbers: [4, 35]
Generated Node #0,1,0: 68:[4, 35] Operation: 70/2=35
Exploring Operation: 70-2=68, Resulting Numbers: [4, 68]
Generated Node #0,1,1: 68:[4, 68] Operation: 70-2=68
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 68:[4, 68], Operations: ['18-16=2', '70-2=68']
Exploring Operation: 4+68=72, Resulting Numbers: [72]
72,68 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,68 unequal: No Solution
No 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: 68:[4, 35], Operations: ['18-16=2', '70/2=35']
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,68 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 |
[
92,
43,
6,
29
] | 47 | [
"29-6=23",
"92/23=4",
"43+4=47"
] | Current State: 47:[92, 43, 6, 29], Operations: []
Exploring Operation: 29-6=23, Resulting Numbers: [92, 43, 23]
Generated Node #2: [92, 43, 23] from Operation: 29-6=23
Current State: 47:[92, 43, 23], Operations: ['29-6=23']
Exploring Operation: 92/23=4, Resulting Numbers: [43, 4]
Generated Node #3: [43, 4] from Operation: 92/23=4
Current State: 47:[43, 4], Operations: ['29-6=23', '92/23=4']
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[92, 43, 6, 29], Operations: []
Exploring Operation: 92-29=63, Resulting Numbers: [43, 6, 63]
Generated Node #0,0: 47:[43, 6, 63] Operation: 92-29=63
Exploring Operation: 92-43=49, Resulting Numbers: [6, 29, 49]
Generated Node #0,1: 47:[6, 29, 49] Operation: 92-43=49
Exploring Operation: 92-6=86, Resulting Numbers: [43, 29, 86]
Generated Node #0,2: 47:[43, 29, 86] Operation: 92-6=86
Moving to Node #0,0
Current State: 47:[43, 6, 63], Operations: ['92-29=63']
Exploring Operation: 43+6=49, Resulting Numbers: [63, 49]
Generated Node #0,0,0: 47:[63, 49] Operation: 43+6=49
Exploring Operation: 63-6=57, Resulting Numbers: [43, 57]
Generated Node #0,0,1: 47:[43, 57] Operation: 63-6=57
Exploring Operation: 43-6=37, Resulting Numbers: [63, 37]
Generated Node #0,0,2: 47:[63, 37] Operation: 43-6=37
Moving to Node #0,1
Current State: 47:[6, 29, 49], Operations: ['92-43=49']
Exploring Operation: 29-6=23, Resulting Numbers: [49, 23]
Generated Node #0,1,0: 47:[49, 23] Operation: 29-6=23
Exploring Operation: 6+29=35, Resulting Numbers: [49, 35]
Generated Node #0,1,1: 47:[49, 35] Operation: 6+29=35
Exploring Operation: 49-6=43, Resulting Numbers: [29, 43]
Generated Node #0,1,2: 47:[29, 43] Operation: 49-6=43
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[49, 35], Operations: ['92-43=49', '6+29=35']
Exploring Operation: 49*35=1715, Resulting Numbers: [1715]
1715,47 unequal: No Solution
Exploring Operation: 49+35=84, Resulting Numbers: [84]
84,47 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[29, 43], Operations: ['92-43=49', '49-6=43']
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,47 unequal: No Solution
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 29*43=1247, Resulting Numbers: [1247]
1247,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[49, 23], Operations: ['92-43=49', '29-6=23']
Exploring Operation: 49*23=1127, Resulting Numbers: [1127]
1127,47 unequal: No Solution
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Exploring Operation: 49+23=72, Resulting Numbers: [72]
72,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 47:[43, 29, 86], Operations: ['92-6=86']
Exploring Operation: 86-43=43, Resulting Numbers: [29, 43]
Generated Node #0,2,0: 47:[29, 43] Operation: 86-43=43
Exploring Operation: 86/43=2, Resulting Numbers: [29, 2]
Generated Node #0,2,1: 47:[29, 2] Operation: 86/43=2
Exploring Operation: 86-29=57, Resulting Numbers: [43, 57]
Generated Node #0,2,2: 47:[43, 57] Operation: 86-29=57
Moving to Node #0,0,1
Current State: 47:[43, 57], Operations: ['92-29=63', '63-6=57']
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,47 unequal: No Solution
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[43, 57], Operations: ['92-6=86', '86-29=57']
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,47 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[63, 49], Operations: ['92-29=63', '43+6=49']
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 63*49=3087, Resulting Numbers: [3087]
3087,47 unequal: No Solution
Exploring Operation: 63+49=112, Resulting Numbers: [112]
112,47 unequal: No Solution
Moving to Node #0,2,0
Current State: 47:[29, 43], Operations: ['92-6=86', '86-43=43']
Exploring Operation: 29*43=1247, Resulting Numbers: [1247]
1247,47 unequal: No Solution
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,47 unequal: No Solution
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[63, 37], Operations: ['92-29=63', '43-6=37']
Exploring Operation: 63-37=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Exploring Operation: 63+37=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 63*37=2331, Resulting Numbers: [2331]
2331,47 unequal: No Solution
Moving to Node #0,2,1
Current State: 47:[29, 2], Operations: ['92-6=86', '86/43=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,47 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,47 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,47 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
8,
51,
64,
54
] | 49 | [
"8+51=59",
"64-54=10",
"59-10=49"
] | Current State: 49:[8, 51, 64, 54], Operations: []
Exploring Operation: 8+51=59, Resulting Numbers: [64, 54, 59]
Generated Node #2: [64, 54, 59] from Operation: 8+51=59
Current State: 49:[64, 54, 59], Operations: ['8+51=59']
Exploring Operation: 64-54=10, Resulting Numbers: [59, 10]
Generated Node #3: [59, 10] from Operation: 64-54=10
Current State: 49:[59, 10], Operations: ['8+51=59', '64-54=10']
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[8, 51, 64, 54], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [8, 51, 10]
Generated Node #0,0: 49:[8, 51, 10] Operation: 64-54=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[8, 51, 10], Operations: ['64-54=10']
Exploring Operation: 10-8=2, Resulting Numbers: [51, 2]
Generated Node #0,0,0: 49:[51, 2] Operation: 10-8=2
Moving to Node #0,0,0
Current State: 49:[51, 2], Operations: ['64-54=10', '10-8=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[8, 51, 64, 54], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [8, 51, 10]
Generated Node #0,0: 49:[8, 51, 10] Operation: 64-54=10
Moving to Node #0,0
Current State: 49:[8, 51, 10], Operations: ['64-54=10']
Exploring Operation: 10-8=2, Resulting Numbers: [51, 2]
Generated Node #0,0,0: 49:[51, 2] Operation: 10-8=2
Moving to Node #0,0,0
Current State: 49:[51, 2], Operations: ['64-54=10', '10-8=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
70,
2,
32,
64
] | 90 | [
"70-32=38",
"2*64=128",
"128-38=90"
] | Current State: 90:[70, 2, 32, 64], Operations: []
Exploring Operation: 70-32=38, Resulting Numbers: [2, 64, 38]
Generated Node #2: [2, 64, 38] from Operation: 70-32=38
Current State: 90:[2, 64, 38], Operations: ['70-32=38']
Exploring Operation: 2*64=128, Resulting Numbers: [38, 128]
Generated Node #3: [38, 128] from Operation: 2*64=128
Current State: 90:[38, 128], Operations: ['70-32=38', '2*64=128']
Exploring Operation: 128-38=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[70, 2, 32, 64], Operations: []
Exploring Operation: 70-64=6, Resulting Numbers: [2, 32, 6]
Generated Node #0,0: 90:[2, 32, 6] Operation: 70-64=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[2, 32, 6], Operations: ['70-64=6']
Exploring Operation: 32-2=30, Resulting Numbers: [6, 30]
Generated Node #0,0,0: 90:[6, 30] Operation: 32-2=30
Moving to Node #0,0,0
Current State: 90:[6, 30], Operations: ['70-64=6', '32-2=30']
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
56,
8,
58,
64
] | 70 | [
"56+8=64",
"64-58=6",
"64+6=70"
] | Current State: 70:[56, 8, 58, 64], Operations: []
Exploring Operation: 56+8=64, Resulting Numbers: [58, 64, 64]
Generated Node #2: [58, 64, 64] from Operation: 56+8=64
Current State: 70:[58, 64, 64], Operations: ['56+8=64']
Exploring Operation: 64-58=6, Resulting Numbers: [6]
6,70 equal: Goal Reached
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[56, 8, 58, 64], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [8, 64, 2]
Generated Node #0,0: 70:[8, 64, 2] Operation: 58-56=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[8, 64, 2], Operations: ['58-56=2']
Exploring Operation: 64/8=8, Resulting Numbers: [2, 8]
Generated Node #0,0,0: 70:[2, 8] Operation: 64/8=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[2, 8], Operations: ['58-56=2', '64/8=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,70 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 |
[
14,
54,
93,
95
] | 13 | [
"95-93=2",
"54/2=27",
"27-14=13"
] | Current State: 13:[14, 54, 93, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [14, 54, 2]
Generated Node #2: [14, 54, 2] from Operation: 95-93=2
Current State: 13:[14, 54, 2], Operations: ['95-93=2']
Exploring Operation: 54/2=27, Resulting Numbers: [14, 27]
Generated Node #3: [14, 27] from Operation: 54/2=27
Current State: 13:[14, 27], Operations: ['95-93=2', '54/2=27']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[14, 54, 93, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [14, 54, 2]
Generated Node #0,0: 13:[14, 54, 2] Operation: 95-93=2
Exploring Operation: 93-54=39, Resulting Numbers: [14, 95, 39]
Generated Node #0,1: 13:[14, 95, 39] Operation: 93-54=39
Moving to Node #0,0
Current State: 13:[14, 54, 2], Operations: ['95-93=2']
Exploring Operation: 54-14=40, Resulting Numbers: [2, 40]
Generated Node #0,0,0: 13:[2, 40] Operation: 54-14=40
Exploring Operation: 54/2=27, Resulting Numbers: [14, 27]
Generated Node #0,0,1: 13:[14, 27] Operation: 54/2=27
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[14, 27], Operations: ['95-93=2', '54/2=27']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[14, 54, 93, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [14, 54, 2]
Generated Node #0,0: 13:[14, 54, 2] Operation: 95-93=2
Moving to Node #0,0
Current State: 13:[14, 54, 2], Operations: ['95-93=2']
Exploring Operation: 54/2=27, Resulting Numbers: [14, 27]
Generated Node #0,0,1: 13:[14, 27] Operation: 54/2=27
Moving to Node #0,0,1
Current State: 13:[14, 27], Operations: ['95-93=2', '54/2=27']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
15,
28,
8,
42
] | 63 | [
"28-15=13",
"8+42=50",
"13+50=63"
] | Current State: 63:[15, 28, 8, 42], Operations: []
Exploring Operation: 28-15=13, Resulting Numbers: [8, 42, 13]
Generated Node #2: [8, 42, 13] from Operation: 28-15=13
Current State: 63:[8, 42, 13], Operations: ['28-15=13']
Exploring Operation: 8+42=50, Resulting Numbers: [13, 50]
Generated Node #3: [13, 50] from Operation: 8+42=50
Current State: 63:[13, 50], Operations: ['28-15=13', '8+42=50']
Exploring Operation: 13+50=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[15, 28, 8, 42], Operations: []
Exploring Operation: 42-15=27, Resulting Numbers: [28, 8, 27]
Generated Node #0,0: 63:[28, 8, 27] Operation: 42-15=27
Exploring Operation: 28-15=13, Resulting Numbers: [8, 42, 13]
Generated Node #0,1: 63:[8, 42, 13] Operation: 28-15=13
Exploring Operation: 15+42=57, Resulting Numbers: [28, 8, 57]
Generated Node #0,2: 63:[28, 8, 57] Operation: 15+42=57
Exploring Operation: 42-28=14, Resulting Numbers: [15, 8, 14]
Generated Node #0,3: 63:[15, 8, 14] Operation: 42-28=14
Exploring Operation: 28+42=70, Resulting Numbers: [15, 8, 70]
Generated Node #0,4: 63:[15, 8, 70] Operation: 28+42=70
Moving to Node #0,3
Current State: 63:[15, 8, 14], Operations: ['42-28=14']
Exploring Operation: 15+8=23, Resulting Numbers: [14, 23]
Generated Node #0,3,0: 63:[14, 23] Operation: 15+8=23
Exploring Operation: 14-8=6, Resulting Numbers: [15, 6]
Generated Node #0,3,1: 63:[15, 6] Operation: 14-8=6
Exploring Operation: 15-8=7, Resulting Numbers: [14, 7]
Generated Node #0,3,2: 63:[14, 7] Operation: 15-8=7
Exploring Operation: 8+14=22, Resulting Numbers: [15, 22]
Generated Node #0,3,3: 63:[15, 22] Operation: 8+14=22
Exploring Operation: 15-14=1, Resulting Numbers: [8, 1]
Generated Node #0,3,4: 63:[8, 1] Operation: 15-14=1
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 63:[8, 1], Operations: ['42-28=14', '15-14=1']
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,63 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,63 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 #0,3,2
Current State: 63:[14, 7], Operations: ['42-28=14', '15-8=7']
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,63 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,63 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 #0,3,0
Current State: 63:[14, 23], Operations: ['42-28=14', '15+8=23']
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,63 unequal: No Solution
Exploring Operation: 14*23=322, Resulting Numbers: [322]
322,63 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,63 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 #0,3,1
Current State: 63:[15, 6], Operations: ['42-28=14', '14-8=6']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,63 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,63 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,63 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 #0,3,3
Current State: 63:[15, 22], Operations: ['42-28=14', '8+14=22']
Exploring Operation: 15+22=37, Resulting Numbers: [37]
37,63 unequal: No Solution
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 15*22=330, Resulting Numbers: [330]
330,63 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: 63:[28, 8, 57], Operations: ['15+42=57']
Exploring Operation: 8+57=65, Resulting Numbers: [28, 65]
Generated Node #0,2,0: 63:[28, 65] Operation: 8+57=65
Exploring Operation: 57-8=49, Resulting Numbers: [28, 49]
Generated Node #0,2,1: 63:[28, 49] Operation: 57-8=49
Exploring Operation: 28-8=20, Resulting Numbers: [57, 20]
Generated Node #0,2,2: 63:[57, 20] Operation: 28-8=20
Exploring Operation: 57-28=29, Resulting Numbers: [8, 29]
Generated Node #0,2,3: 63:[8, 29] Operation: 57-28=29
Exploring Operation: 28+8=36, Resulting Numbers: [57, 36]
Generated Node #0,2,4: 63:[57, 36] Operation: 28+8=36
Moving to Node #0,0
Current State: 63:[28, 8, 27], Operations: ['42-15=27']
Exploring Operation: 28+27=55, Resulting Numbers: [8, 55]
Generated Node #0,0,0: 63:[8, 55] Operation: 28+27=55
Exploring Operation: 28+8=36, Resulting Numbers: [27, 36]
Generated Node #0,0,1: 63:[27, 36] Operation: 28+8=36
Exploring Operation: 28-27=1, Resulting Numbers: [8, 1]
Generated Node #0,0,2: 63:[8, 1] Operation: 28-27=1
Exploring Operation: 28-8=20, Resulting Numbers: [27, 20]
Generated Node #0,0,3: 63:[27, 20] Operation: 28-8=20
Exploring Operation: 27-8=19, Resulting Numbers: [28, 19]
Generated Node #0,0,4: 63:[28, 19] Operation: 27-8=19
Moving to Node #0,4
Current State: 63:[15, 8, 70], Operations: ['28+42=70']
Exploring Operation: 70-8=62, Resulting Numbers: [15, 62]
Generated Node #0,4,0: 63:[15, 62] Operation: 70-8=62
Exploring Operation: 15-8=7, Resulting Numbers: [70, 7]
Generated Node #0,4,1: 63:[70, 7] Operation: 15-8=7
Exploring Operation: 15+8=23, Resulting Numbers: [70, 23]
Generated Node #0,4,2: 63:[70, 23] Operation: 15+8=23
Exploring Operation: 8+70=78, Resulting Numbers: [15, 78]
Generated Node #0,4,3: 63:[15, 78] Operation: 8+70=78
Exploring Operation: 70-15=55, Resulting Numbers: [8, 55]
Generated Node #0,4,4: 63:[8, 55] Operation: 70-15=55
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 63:[15, 62], Operations: ['28+42=70', '70-8=62']
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 15*62=930, Resulting Numbers: [930]
930,63 unequal: No Solution
Exploring Operation: 15+62=77, Resulting Numbers: [77]
77,63 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 #0,4,1
Current State: 63:[70, 7], Operations: ['28+42=70', '15-8=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,63 unequal: No Solution
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[15, 28, 8, 42], Operations: []
Exploring Operation: 28+42=70, Resulting Numbers: [15, 8, 70]
Generated Node #0,4: 63:[15, 8, 70] Operation: 28+42=70
Moving to Node #0,4
Current State: 63:[15, 8, 70], Operations: ['28+42=70']
Exploring Operation: 15-8=7, Resulting Numbers: [70, 7]
Generated Node #0,4,1: 63:[70, 7] Operation: 15-8=7
Moving to Node #0,4,1
Current State: 63:[70, 7], Operations: ['28+42=70', '15-8=7']
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729 | hs_5 | mult_heuristic |
[
25,
7,
4,
17
] | 76 | [
"25*4=100",
"7+17=24",
"100-24=76"
] | Current State: 76:[25, 7, 4, 17], Operations: []
Exploring Operation: 25*4=100, Resulting Numbers: [7, 17, 100]
Generated Node #2: [7, 17, 100] from Operation: 25*4=100
Current State: 76:[7, 17, 100], Operations: ['25*4=100']
Exploring Operation: 7+17=24, Resulting Numbers: [100, 24]
Generated Node #3: [100, 24] from Operation: 7+17=24
Current State: 76:[100, 24], Operations: ['25*4=100', '7+17=24']
Exploring Operation: 100-24=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[25, 7, 4, 17], Operations: []
Exploring Operation: 25-7=18, Resulting Numbers: [4, 17, 18]
Generated Node #0,0: 76:[4, 17, 18] Operation: 25-7=18
Exploring Operation: 25+17=42, Resulting Numbers: [7, 4, 42]
Generated Node #0,1: 76:[7, 4, 42] Operation: 25+17=42
Exploring Operation: 25+7=32, Resulting Numbers: [4, 17, 32]
Generated Node #0,2: 76:[4, 17, 32] Operation: 25+7=32
Exploring Operation: 25-17=8, Resulting Numbers: [7, 4, 8]
Generated Node #0,3: 76:[7, 4, 8] Operation: 25-17=8
Exploring Operation: 25-4=21, Resulting Numbers: [7, 17, 21]
Generated Node #0,4: 76:[7, 17, 21] Operation: 25-4=21
Moving to Node #0,0
Current State: 76:[4, 17, 18], Operations: ['25-7=18']
Exploring Operation: 4*18=72, Resulting Numbers: [17, 72]
Generated Node #0,0,0: 76:[17, 72] Operation: 4*18=72
Exploring Operation: 18-17=1, Resulting Numbers: [4, 1]
Generated Node #0,0,1: 76:[4, 1] Operation: 18-17=1
Exploring Operation: 4+17=21, Resulting Numbers: [18, 21]
Generated Node #0,0,2: 76:[18, 21] Operation: 4+17=21
Exploring Operation: 4+18=22, Resulting Numbers: [17, 22]
Generated Node #0,0,3: 76:[17, 22] Operation: 4+18=22
Exploring Operation: 17+18=35, Resulting Numbers: [4, 35]
Generated Node #0,0,4: 76:[4, 35] Operation: 17+18=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[4, 1], Operations: ['25-7=18', '18-17=1']
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[18, 21], Operations: ['25-7=18', '4+17=21']
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,76 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,76 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 #0,0,4
Current State: 76:[4, 35], Operations: ['25-7=18', '17+18=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,76 unequal: No Solution
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,76 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 76:[17, 22], Operations: ['25-7=18', '4+18=22']
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 17*22=374, Resulting Numbers: [374]
374,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[17, 72], Operations: ['25-7=18', '4*18=72']
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,76 unequal: No Solution
Exploring Operation: 17*72=1224, Resulting Numbers: [1224]
1224,76 unequal: No Solution
Exploring Operation: 17+72=89, Resulting Numbers: [89]
89,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 76:[7, 4, 8], Operations: ['25-17=8']
Exploring Operation: 7+8=15, Resulting Numbers: [4, 15]
Generated Node #0,3,0: 76:[4, 15] Operation: 7+8=15
Exploring Operation: 8-4=4, Resulting Numbers: [7, 4]
Generated Node #0,3,1: 76:[7, 4] Operation: 8-4=4
Exploring Operation: 8/4=2, Resulting Numbers: [7, 2]
Generated Node #0,3,2: 76:[7, 2] Operation: 8/4=2
Exploring Operation: 7-4=3, Resulting Numbers: [8, 3]
Generated Node #0,3,3: 76:[8, 3] Operation: 7-4=3
Exploring Operation: 8-7=1, Resulting Numbers: [4, 1]
Generated Node #0,3,4: 76:[4, 1] Operation: 8-7=1
Moving to Node #0,1
Current State: 76:[7, 4, 42], Operations: ['25+17=42']
Exploring Operation: 7+4=11, Resulting Numbers: [42, 11]
Generated Node #0,1,0: 76:[42, 11] Operation: 7+4=11
Exploring Operation: 7-4=3, Resulting Numbers: [42, 3]
Generated Node #0,1,1: 76:[42, 3] Operation: 7-4=3
Exploring Operation: 42/7=6, Resulting Numbers: [4, 6]
Generated Node #0,1,2: 76:[4, 6] Operation: 42/7=6
Exploring Operation: 42-4=38, Resulting Numbers: [7, 38]
Generated Node #0,1,3: 76:[7, 38] Operation: 42-4=38
Exploring Operation: 42-7=35, Resulting Numbers: [4, 35]
Generated Node #0,1,4: 76:[4, 35] Operation: 42-7=35
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 76:[4, 6], Operations: ['25+17=42', '42/7=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 76:[7, 38], Operations: ['25+17=42', '42-4=38']
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,76 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,76 unequal: No Solution
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 76:[4, 35], Operations: ['25+17=42', '42-7=35']
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,76 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,76 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:[42, 3], Operations: ['25+17=42', '7-4=3']
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,76 unequal: No Solution
Exploring Operation: 42*3=126, Resulting Numbers: [126]
126,76 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 #0,1,0
Current State: 76:[42, 11], Operations: ['25+17=42', '7+4=11']
Exploring Operation: 42+11=53, Resulting Numbers: [53]
53,76 unequal: No Solution
Exploring Operation: 42*11=462, Resulting Numbers: [462]
462,76 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 76:[7, 17, 21], Operations: ['25-4=21']
Exploring Operation: 17+21=38, Resulting Numbers: [7, 38]
Generated Node #0,4,0: 76:[7, 38] Operation: 17+21=38
Exploring Operation: 21/7=3, Resulting Numbers: [17, 3]
Generated Node #0,4,1: 76:[17, 3] Operation: 21/7=3
Exploring Operation: 21-7=14, Resulting Numbers: [17, 14]
Generated Node #0,4,2: 76:[17, 14] Operation: 21-7=14
Exploring Operation: 7+17=24, Resulting Numbers: [21, 24]
Generated Node #0,4,3: 76:[21, 24] Operation: 7+17=24
Exploring Operation: 21-17=4, Resulting Numbers: [7, 4]
Generated Node #0,4,4: 76:[7, 4] Operation: 21-17=4
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 76:[7, 38], Operations: ['25-4=21', '17+21=38']
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,76 unequal: No Solution
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 76:[17, 3], Operations: ['25-4=21', '21/7=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,76 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 76:[7, 4], Operations: ['25-4=21', '21-17=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 76:[17, 14], Operations: ['25-4=21', '21-7=14']
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,76 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 76:[21, 24], Operations: ['25-4=21', '7+17=24']
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 21*24=504, Resulting Numbers: [504]
504,76 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 76:[4, 17, 32], Operations: ['25+7=32']
Exploring Operation: 32-17=15, Resulting Numbers: [4, 15]
Generated Node #0,2,0: 76:[4, 15] Operation: 32-17=15
Exploring Operation: 32-4=28, Resulting Numbers: [17, 28]
Generated Node #0,2,1: 76:[17, 28] Operation: 32-4=28
Exploring Operation: 32/4=8, Resulting Numbers: [17, 8]
Generated Node #0,2,2: 76:[17, 8] Operation: 32/4=8
Exploring Operation: 4+17=21, Resulting Numbers: [32, 21]
Generated Node #0,2,3: 76:[32, 21] Operation: 4+17=21
Exploring Operation: 4+32=36, Resulting Numbers: [17, 36]
Generated Node #0,2,4: 76:[17, 36] Operation: 4+32=36
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 76:[4, 15], Operations: ['25+7=32', '32-17=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 76:[17, 36], Operations: ['25+7=32', '4+32=36']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 17+36=53, Resulting Numbers: [53]
53,76 unequal: No Solution
Exploring Operation: 17*36=612, Resulting Numbers: [612]
612,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 76:[17, 8], Operations: ['25+7=32', '32/4=8']
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,76 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 76:[32, 21], Operations: ['25+7=32', '4+17=21']
Exploring Operation: 32*21=672, Resulting Numbers: [672]
672,76 unequal: No Solution
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,76 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 76:[17, 28], Operations: ['25+7=32', '32-4=28']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,4
Current State: 76:[4, 1], Operations: ['25-17=8', '8-7=1']
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[7, 2], Operations: ['25-17=8', '8/4=2']
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,76 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[7, 4], Operations: ['25-17=8', '8-4=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Moving to Node #0,3,0
Current State: 76:[4, 15], Operations: ['25-17=8', '7+8=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[8, 3], Operations: ['25-17=8', '7-4=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,76 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
93,
41,
14,
19
] | 85 | [
"93-41=52",
"14+19=33",
"52+33=85"
] | Current State: 85:[93, 41, 14, 19], Operations: []
Exploring Operation: 93-41=52, Resulting Numbers: [14, 19, 52]
Generated Node #2: [14, 19, 52] from Operation: 93-41=52
Current State: 85:[14, 19, 52], Operations: ['93-41=52']
Exploring Operation: 14+19=33, Resulting Numbers: [52, 33]
Generated Node #3: [52, 33] from Operation: 14+19=33
Current State: 85:[52, 33], Operations: ['93-41=52', '14+19=33']
Exploring Operation: 52+33=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[93, 41, 14, 19], Operations: []
Exploring Operation: 41-19=22, Resulting Numbers: [93, 14, 22]
Generated Node #0,0: 85:[93, 14, 22] Operation: 41-19=22
Moving to Node #0,0
Current State: 85:[93, 14, 22], Operations: ['41-19=22']
Exploring Operation: 93-14=79, Resulting Numbers: [22, 79]
Generated Node #0,0,0: 85:[22, 79] Operation: 93-14=79
Moving to Node #0,0,0
Current State: 85:[22, 79], Operations: ['41-19=22', '93-14=79']
Exploring Operation: 22+79=101, Resulting Numbers: [101]
101,85 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
11,
60,
70,
5
] | 75 | [
"11*5=55",
"60+70=130",
"130-55=75"
] | Current State: 75:[11, 60, 70, 5], Operations: []
Exploring Operation: 11*5=55, Resulting Numbers: [60, 70, 55]
Generated Node #2: [60, 70, 55] from Operation: 11*5=55
Current State: 75:[60, 70, 55], Operations: ['11*5=55']
Exploring Operation: 60+70=130, Resulting Numbers: [55, 130]
Generated Node #3: [55, 130] from Operation: 60+70=130
Current State: 75:[55, 130], Operations: ['11*5=55', '60+70=130']
Exploring Operation: 130-55=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[11, 60, 70, 5], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [11, 5, 10]
Generated Node #0,0: 75:[11, 5, 10] Operation: 70-60=10
Exploring Operation: 11+60=71, Resulting Numbers: [70, 5, 71]
Generated Node #0,1: 75:[70, 5, 71] Operation: 11+60=71
Exploring Operation: 60/5=12, Resulting Numbers: [11, 70, 12]
Generated Node #0,2: 75:[11, 70, 12] Operation: 60/5=12
Exploring Operation: 70+5=75, Resulting Numbers: [11, 60, 75]
Generated Node #0,3: 75:[11, 60, 75] Operation: 70+5=75
Exploring Operation: 60+5=65, Resulting Numbers: [11, 70, 65]
Generated Node #0,4: 75:[11, 70, 65] Operation: 60+5=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[11, 5, 10], Operations: ['70-60=10']
Exploring Operation: 5+10=15, Resulting Numbers: [11, 15]
Generated Node #0,0,0: 75:[11, 15] Operation: 5+10=15
Exploring Operation: 10-5=5, Resulting Numbers: [11, 5]
Generated Node #0,0,1: 75:[11, 5] Operation: 10-5=5
Exploring Operation: 11+10=21, Resulting Numbers: [5, 21]
Generated Node #0,0,2: 75:[5, 21] Operation: 11+10=21
Exploring Operation: 11-10=1, Resulting Numbers: [5, 1]
Generated Node #0,0,3: 75:[5, 1] Operation: 11-10=1
Exploring Operation: 10/5=2, Resulting Numbers: [11, 2]
Generated Node #0,0,4: 75:[11, 2] Operation: 10/5=2
Moving to Node #0,0,3
Current State: 75:[5, 1], Operations: ['70-60=10', '11-10=1']
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,75 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[11, 5], Operations: ['70-60=10', '10-5=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[11, 15], Operations: ['70-60=10', '5+10=15']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 11*15=165, Resulting Numbers: [165]
165,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[5, 21], Operations: ['70-60=10', '11+10=21']
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,75 unequal: No Solution
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Moving to Node #0,0,4
Current State: 75:[11, 2], Operations: ['70-60=10', '10/5=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[70, 5, 71], Operations: ['11+60=71']
Exploring Operation: 70-5=65, Resulting Numbers: [71, 65]
Generated Node #0,1,0: 75:[71, 65] Operation: 70-5=65
Exploring Operation: 70/5=14, Resulting Numbers: [71, 14]
Generated Node #0,1,1: 75:[71, 14] Operation: 70/5=14
Exploring Operation: 71-70=1, Resulting Numbers: [5, 1]
Generated Node #0,1,2: 75:[5, 1] Operation: 71-70=1
Exploring Operation: 5+71=76, Resulting Numbers: [70, 76]
Generated Node #0,1,3: 75:[70, 76] Operation: 5+71=76
Exploring Operation: 70+5=75, Resulting Numbers: [71, 75]
Generated Node #0,1,4: 75:[71, 75] Operation: 70+5=75
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[5, 1], Operations: ['11+60=71', '71-70=1']
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,75 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,75 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 #0,1,4
Current State: 75:[71, 75], Operations: ['11+60=71', '70+5=75']
Exploring Operation: 75-71=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 71*75=5325, Resulting Numbers: [5325]
5325,75 unequal: No Solution
Exploring Operation: 71+75=146, Resulting Numbers: [146]
146,75 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:[71, 14], Operations: ['11+60=71', '70/5=14']
Exploring Operation: 71*14=994, Resulting Numbers: [994]
994,75 unequal: No Solution
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,75 unequal: No Solution
Exploring Operation: 71+14=85, Resulting Numbers: [85]
85,75 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 #0,1,3
Current State: 75:[70, 76], Operations: ['11+60=71', '5+71=76']
Exploring Operation: 76-70=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 70*76=5320, Resulting Numbers: [5320]
5320,75 unequal: No Solution
Exploring Operation: 70+76=146, Resulting Numbers: [146]
146,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[71, 65], Operations: ['11+60=71', '70-5=65']
Exploring Operation: 71-65=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 71*65=4615, Resulting Numbers: [4615]
4615,75 unequal: No Solution
Exploring Operation: 71+65=136, Resulting Numbers: [136]
136,75 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 #0,2
Current State: 75:[11, 70, 12], Operations: ['60/5=12']
Exploring Operation: 70-11=59, Resulting Numbers: [12, 59]
Generated Node #0,2,0: 75:[12, 59] Operation: 70-11=59
Exploring Operation: 11+12=23, Resulting Numbers: [70, 23]
Generated Node #0,2,1: 75:[70, 23] Operation: 11+12=23
Exploring Operation: 11+70=81, Resulting Numbers: [12, 81]
Generated Node #0,2,2: 75:[12, 81] Operation: 11+70=81
Exploring Operation: 12-11=1, Resulting Numbers: [70, 1]
Generated Node #0,2,3: 75:[70, 1] Operation: 12-11=1
Exploring Operation: 70+12=82, Resulting Numbers: [11, 82]
Generated Node #0,2,4: 75:[11, 82] Operation: 70+12=82
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 75:[70, 23], Operations: ['60/5=12', '11+12=23']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,75 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 #0,2,3
Current State: 75:[70, 1], Operations: ['60/5=12', '12-11=1']
Exploring Operation: 70/1=70, Resulting Numbers: [70]
70,75 unequal: No Solution
Exploring Operation: 70*1=70, Resulting Numbers: [70]
70,75 unequal: No Solution
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,75 unequal: No Solution
Exploring Operation: 70+1=71, Resulting Numbers: [71]
71,75 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 #0,2,2
Current State: 75:[12, 81], Operations: ['60/5=12', '11+70=81']
Exploring Operation: 12+81=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Exploring Operation: 81-12=69, Resulting Numbers: [69]
69,75 unequal: No Solution
Exploring Operation: 12*81=972, Resulting Numbers: [972]
972,75 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 #0,2,4
Current State: 75:[11, 82], Operations: ['60/5=12', '70+12=82']
Exploring Operation: 11+82=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Exploring Operation: 82-11=71, Resulting Numbers: [71]
71,75 unequal: No Solution
Exploring Operation: 11*82=902, Resulting Numbers: [902]
902,75 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 #0,2,0
Current State: 75:[12, 59], Operations: ['60/5=12', '70-11=59']
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Exploring Operation: 12*59=708, Resulting Numbers: [708]
708,75 unequal: No Solution
Exploring Operation: 12+59=71, Resulting Numbers: [71]
71,75 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 #0,3
Current State: 75:[11, 60, 75], Operations: ['70+5=75']
Exploring Operation: 60-11=49, Resulting Numbers: [75, 49]
Generated Node #0,3,0: 75:[75, 49] Operation: 60-11=49
Exploring Operation: 11+60=71, Resulting Numbers: [75, 71]
Generated Node #0,3,1: 75:[75, 71] Operation: 11+60=71
Exploring Operation: 75-11=64, Resulting Numbers: [60, 64]
Generated Node #0,3,2: 75:[60, 64] Operation: 75-11=64
Exploring Operation: 11+75=86, Resulting Numbers: [60, 86]
Generated Node #0,3,3: 75:[60, 86] Operation: 11+75=86
Exploring Operation: 75-60=15, Resulting Numbers: [11, 15]
Generated Node #0,3,4: 75:[11, 15] Operation: 75-60=15
Moving to Node #0,3,1
Current State: 75:[75, 71], Operations: ['70+5=75', '11+60=71']
Exploring Operation: 75*71=5325, Resulting Numbers: [5325]
5325,75 unequal: No Solution
Exploring Operation: 75+71=146, Resulting Numbers: [146]
146,75 unequal: No Solution
Exploring Operation: 75-71=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Moving to Node #0,3,4
Current State: 75:[11, 15], Operations: ['70+5=75', '75-60=15']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 11*15=165, Resulting Numbers: [165]
165,75 unequal: No Solution
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Moving to Node #0,3,0
Current State: 75:[75, 49], Operations: ['70+5=75', '60-11=49']
Exploring Operation: 75*49=3675, Resulting Numbers: [3675]
3675,75 unequal: No Solution
Exploring Operation: 75-49=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 75+49=124, Resulting Numbers: [124]
124,75 unequal: No Solution
Moving to Node #0,3,2
Current State: 75:[60, 64], Operations: ['70+5=75', '75-11=64']
Exploring Operation: 60+64=124, Resulting Numbers: [124]
124,75 unequal: No Solution
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 60*64=3840, Resulting Numbers: [3840]
3840,75 unequal: No Solution
Moving to Node #0,3,3
Current State: 75:[60, 86], Operations: ['70+5=75', '11+75=86']
Exploring Operation: 60+86=146, Resulting Numbers: [146]
146,75 unequal: No Solution
Exploring Operation: 86-60=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 60*86=5160, Resulting Numbers: [5160]
5160,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 75:[11, 70, 65], Operations: ['60+5=65']
Exploring Operation: 65-11=54, Resulting Numbers: [70, 54]
Generated Node #0,4,0: 75:[70, 54] Operation: 65-11=54
Exploring Operation: 70-11=59, Resulting Numbers: [65, 59]
Generated Node #0,4,1: 75:[65, 59] Operation: 70-11=59
Exploring Operation: 70-65=5, Resulting Numbers: [11, 5]
Generated Node #0,4,2: 75:[11, 5] Operation: 70-65=5
Exploring Operation: 11+70=81, Resulting Numbers: [65, 81]
Generated Node #0,4,3: 75:[65, 81] Operation: 11+70=81
Exploring Operation: 11+65=76, Resulting Numbers: [70, 76]
Generated Node #0,4,4: 75:[70, 76] Operation: 11+65=76
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 75:[11, 5], Operations: ['60+5=65', '70-65=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,75 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,75 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 #0,4,4
Current State: 75:[70, 76], Operations: ['60+5=65', '11+65=76']
Exploring Operation: 70*76=5320, Resulting Numbers: [5320]
5320,75 unequal: No Solution
Exploring Operation: 76-70=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 70+76=146, Resulting Numbers: [146]
146,75 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 #0,4,3
Current State: 75:[65, 81], Operations: ['60+5=65', '11+70=81']
Exploring Operation: 81-65=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 65*81=5265, Resulting Numbers: [5265]
5265,75 unequal: No Solution
Exploring Operation: 65+81=146, Resulting Numbers: [146]
146,75 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 #0,4,0
Current State: 75:[70, 54], Operations: ['60+5=65', '65-11=54']
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 70*54=3780, Resulting Numbers: [3780]
3780,75 unequal: No Solution
Exploring Operation: 70+54=124, Resulting Numbers: [124]
124,75 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 #0,4,1
Current State: 75:[65, 59], Operations: ['60+5=65', '70-11=59']
Exploring Operation: 65*59=3835, Resulting Numbers: [3835]
3835,75 unequal: No Solution
Exploring Operation: 65+59=124, Resulting Numbers: [124]
124,75 unequal: No Solution
Exploring Operation: 65-59=6, Resulting Numbers: [6]
6,75 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_5 | mult_heuristic |
[
64,
6,
63,
38
] | 65 | [
"38-6=32",
"64/32=2",
"63+2=65"
] | Current State: 65:[64, 6, 63, 38], Operations: []
Exploring Operation: 38-6=32, Resulting Numbers: [64, 63, 32]
Generated Node #2: [64, 63, 32] from Operation: 38-6=32
Current State: 65:[64, 63, 32], Operations: ['38-6=32']
Exploring Operation: 64/32=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 64/32=2
Current State: 65:[63, 2], Operations: ['38-6=32', '64/32=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[64, 6, 63, 38], Operations: []
Exploring Operation: 38-6=32, Resulting Numbers: [64, 63, 32]
Generated Node #0,0: 65:[64, 63, 32] Operation: 38-6=32
Exploring Operation: 64-38=26, Resulting Numbers: [6, 63, 26]
Generated Node #0,1: 65:[6, 63, 26] Operation: 64-38=26
Exploring Operation: 63-38=25, Resulting Numbers: [64, 6, 25]
Generated Node #0,2: 65:[64, 6, 25] Operation: 63-38=25
Exploring Operation: 6+38=44, Resulting Numbers: [64, 63, 44]
Generated Node #0,3: 65:[64, 63, 44] Operation: 6+38=44
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[64, 6, 25], Operations: ['63-38=25']
Exploring Operation: 6+25=31, Resulting Numbers: [64, 31]
Generated Node #0,2,0: 65:[64, 31] Operation: 6+25=31
Exploring Operation: 25-6=19, Resulting Numbers: [64, 19]
Generated Node #0,2,1: 65:[64, 19] Operation: 25-6=19
Exploring Operation: 64+6=70, Resulting Numbers: [25, 70]
Generated Node #0,2,2: 65:[25, 70] Operation: 64+6=70
Exploring Operation: 64-6=58, Resulting Numbers: [25, 58]
Generated Node #0,2,3: 65:[25, 58] Operation: 64-6=58
Moving to Node #0,2,1
Current State: 65:[64, 19], Operations: ['63-38=25', '25-6=19']
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,65 unequal: No Solution
Exploring Operation: 64*19=1216, Resulting Numbers: [1216]
1216,65 unequal: No Solution
Exploring Operation: 64+19=83, Resulting Numbers: [83]
83,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[25, 70], Operations: ['63-38=25', '64+6=70']
Exploring Operation: 25*70=1750, Resulting Numbers: [1750]
1750,65 unequal: No Solution
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,65 unequal: No Solution
Exploring Operation: 25+70=95, Resulting Numbers: [95]
95,65 unequal: No Solution
Moving to Node #0,2,3
Current State: 65:[25, 58], Operations: ['63-38=25', '64-6=58']
Exploring Operation: 25+58=83, Resulting Numbers: [83]
83,65 unequal: No Solution
Exploring Operation: 58-25=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 25*58=1450, Resulting Numbers: [1450]
1450,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[64, 31], Operations: ['63-38=25', '6+25=31']
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 64+31=95, Resulting Numbers: [95]
95,65 unequal: No Solution
Exploring Operation: 64*31=1984, Resulting Numbers: [1984]
1984,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[6, 63, 26], Operations: ['64-38=26']
Exploring Operation: 6+26=32, Resulting Numbers: [63, 32]
Generated Node #0,1,0: 65:[63, 32] Operation: 6+26=32
Exploring Operation: 6+63=69, Resulting Numbers: [26, 69]
Generated Node #0,1,1: 65:[26, 69] Operation: 6+63=69
Exploring Operation: 63-6=57, Resulting Numbers: [26, 57]
Generated Node #0,1,2: 65:[26, 57] Operation: 63-6=57
Exploring Operation: 26-6=20, Resulting Numbers: [63, 20]
Generated Node #0,1,3: 65:[63, 20] Operation: 26-6=20
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 65:[63, 20], Operations: ['64-38=26', '26-6=20']
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,65 unequal: No Solution
Exploring Operation: 63*20=1260, Resulting Numbers: [1260]
1260,65 unequal: No Solution
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 65:[26, 69], Operations: ['64-38=26', '6+63=69']
Exploring Operation: 26*69=1794, Resulting Numbers: [1794]
1794,65 unequal: No Solution
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,65 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[63, 32], Operations: ['64-38=26', '6+26=32']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,65 unequal: No Solution
Exploring Operation: 63*32=2016, Resulting Numbers: [2016]
2016,65 unequal: No Solution
Exploring Operation: 63+32=95, Resulting Numbers: [95]
95,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 65:[26, 57], Operations: ['64-38=26', '63-6=57']
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,65 unequal: No Solution
Exploring Operation: 26+57=83, Resulting Numbers: [83]
83,65 unequal: No Solution
Exploring Operation: 26*57=1482, Resulting Numbers: [1482]
1482,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[64, 63, 32], Operations: ['38-6=32']
Exploring Operation: 64-32=32, Resulting Numbers: [63, 32]
Generated Node #0,0,0: 65:[63, 32] Operation: 64-32=32
Exploring Operation: 64/32=2, Resulting Numbers: [63, 2]
Generated Node #0,0,1: 65:[63, 2] Operation: 64/32=2
Exploring Operation: 64-63=1, Resulting Numbers: [32, 1]
Generated Node #0,0,2: 65:[32, 1] Operation: 64-63=1
Exploring Operation: 63-32=31, Resulting Numbers: [64, 31]
Generated Node #0,0,3: 65:[64, 31] Operation: 63-32=31
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 65:[63, 2], Operations: ['38-6=32', '64/32=2']
Exploring Operation: 63*2=126, Resulting Numbers: [126]
126,65 unequal: No Solution
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[64, 6, 63, 38], Operations: []
Exploring Operation: 38-6=32, Resulting Numbers: [64, 63, 32]
Generated Node #0,0: 65:[64, 63, 32] Operation: 38-6=32
Moving to Node #0,0
Current State: 65:[64, 63, 32], Operations: ['38-6=32']
Exploring Operation: 64/32=2, Resulting Numbers: [63, 2]
Generated Node #0,0,1: 65:[63, 2] Operation: 64/32=2
Moving to Node #0,0,1
Current State: 65:[63, 2], Operations: ['38-6=32', '64/32=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.960069 | hs_4 | sum_heuristic |
[
22,
61,
88,
56
] | 75 | [
"88/22=4",
"56/4=14",
"61+14=75"
] | Current State: 75:[22, 61, 88, 56], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [61, 56, 4]
Generated Node #2: [61, 56, 4] from Operation: 88/22=4
Current State: 75:[61, 56, 4], Operations: ['88/22=4']
Exploring Operation: 56/4=14, Resulting Numbers: [61, 14]
Generated Node #3: [61, 14] from Operation: 56/4=14
Current State: 75:[61, 14], Operations: ['88/22=4', '56/4=14']
Exploring Operation: 61+14=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[22, 61, 88, 56], Operations: []
Exploring Operation: 88-61=27, Resulting Numbers: [22, 56, 27]
Generated Node #0,0: 75:[22, 56, 27] Operation: 88-61=27
Exploring Operation: 88-56=32, Resulting Numbers: [22, 61, 32]
Generated Node #0,1: 75:[22, 61, 32] Operation: 88-56=32
Exploring Operation: 61-56=5, Resulting Numbers: [22, 88, 5]
Generated Node #0,2: 75:[22, 88, 5] Operation: 61-56=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[22, 88, 5], Operations: ['61-56=5']
Exploring Operation: 88-22=66, Resulting Numbers: [5, 66]
Generated Node #0,2,0: 75:[5, 66] Operation: 88-22=66
Exploring Operation: 88/22=4, Resulting Numbers: [5, 4]
Generated Node #0,2,1: 75:[5, 4] Operation: 88/22=4
Exploring Operation: 88-5=83, Resulting Numbers: [22, 83]
Generated Node #0,2,2: 75:[22, 83] Operation: 88-5=83
Moving to Node #0,2,1
Current State: 75:[5, 4], Operations: ['61-56=5', '88/22=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[5, 66], Operations: ['61-56=5', '88-22=66']
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,75 unequal: No Solution
Exploring Operation: 5*66=330, Resulting Numbers: [330]
330,75 unequal: No Solution
Exploring Operation: 5+66=71, Resulting Numbers: [71]
71,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[22, 83], Operations: ['61-56=5', '88-5=83']
Exploring Operation: 83-22=61, Resulting Numbers: [61]
61,75 unequal: No Solution
Exploring Operation: 22*83=1826, Resulting Numbers: [1826]
1826,75 unequal: No Solution
Exploring Operation: 22+83=105, Resulting Numbers: [105]
105,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[22, 56, 27], Operations: ['88-61=27']
Exploring Operation: 56-22=34, Resulting Numbers: [27, 34]
Generated Node #0,0,0: 75:[27, 34] Operation: 56-22=34
Exploring Operation: 56-27=29, Resulting Numbers: [22, 29]
Generated Node #0,0,1: 75:[22, 29] Operation: 56-27=29
Exploring Operation: 22+56=78, Resulting Numbers: [27, 78]
Generated Node #0,0,2: 75:[27, 78] Operation: 22+56=78
Moving to Node #0,0,2
Current State: 75:[27, 78], Operations: ['88-61=27', '22+56=78']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 27+78=105, Resulting Numbers: [105]
105,75 unequal: No Solution
Exploring Operation: 27*78=2106, Resulting Numbers: [2106]
2106,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[22, 29], Operations: ['88-61=27', '56-27=29']
Exploring Operation: 22+29=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 22*29=638, Resulting Numbers: [638]
638,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[27, 34], Operations: ['88-61=27', '56-22=34']
Exploring Operation: 27*34=918, Resulting Numbers: [918]
918,75 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 27+34=61, Resulting Numbers: [61]
61,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[22, 61, 32], Operations: ['88-56=32']
Exploring Operation: 32-22=10, Resulting Numbers: [61, 10]
Generated Node #0,1,0: 75:[61, 10] Operation: 32-22=10
Exploring Operation: 22+61=83, Resulting Numbers: [32, 83]
Generated Node #0,1,1: 75:[32, 83] Operation: 22+61=83
Exploring Operation: 61-32=29, Resulting Numbers: [22, 29]
Generated Node #0,1,2: 75:[22, 29] Operation: 61-32=29
Moving to Node #0,1,2
Current State: 75:[22, 29], Operations: ['88-56=32', '61-32=29']
Exploring Operation: 22*29=638, Resulting Numbers: [638]
638,75 unequal: No Solution
Exploring Operation: 22+29=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[32, 83], Operations: ['88-56=32', '22+61=83']
Exploring Operation: 32+83=115, Resulting Numbers: [115]
115,75 unequal: No Solution
Exploring Operation: 32*83=2656, Resulting Numbers: [2656]
2656,75 unequal: No Solution
Exploring Operation: 83-32=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[61, 10], Operations: ['88-56=32', '32-22=10']
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 61+10=71, Resulting Numbers: [71]
71,75 unequal: No Solution
Exploring Operation: 61*10=610, Resulting Numbers: [610]
610,75 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 |
[
75,
45,
11,
15
] | 51 | [
"75/15=5",
"45+11=56",
"56-5=51"
] | Current State: 51:[75, 45, 11, 15], Operations: []
Exploring Operation: 75/15=5, Resulting Numbers: [45, 11, 5]
Generated Node #2: [45, 11, 5] from Operation: 75/15=5
Current State: 51:[45, 11, 5], Operations: ['75/15=5']
Exploring Operation: 45+11=56, Resulting Numbers: [5, 56]
Generated Node #3: [5, 56] from Operation: 45+11=56
Current State: 51:[5, 56], Operations: ['75/15=5', '45+11=56']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[75, 45, 11, 15], Operations: []
Exploring Operation: 75-11=64, Resulting Numbers: [45, 15, 64]
Generated Node #0,0: 51:[45, 15, 64] Operation: 75-11=64
Exploring Operation: 75-15=60, Resulting Numbers: [45, 11, 60]
Generated Node #0,1: 51:[45, 11, 60] Operation: 75-15=60
Exploring Operation: 75/15=5, Resulting Numbers: [45, 11, 5]
Generated Node #0,2: 51:[45, 11, 5] Operation: 75/15=5
Exploring Operation: 75-45=30, Resulting Numbers: [11, 15, 30]
Generated Node #0,3: 51:[11, 15, 30] Operation: 75-45=30
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[45, 11, 5], Operations: ['75/15=5']
Exploring Operation: 11+5=16, Resulting Numbers: [45, 16]
Generated Node #0,2,0: 51:[45, 16] Operation: 11+5=16
Exploring Operation: 45+11=56, Resulting Numbers: [5, 56]
Generated Node #0,2,1: 51:[5, 56] Operation: 45+11=56
Exploring Operation: 45+5=50, Resulting Numbers: [11, 50]
Generated Node #0,2,2: 51:[11, 50] Operation: 45+5=50
Exploring Operation: 11-5=6, Resulting Numbers: [45, 6]
Generated Node #0,2,3: 51:[45, 6] Operation: 11-5=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 51:[45, 16], Operations: ['75/15=5', '11+5=16']
Exploring Operation: 45+16=61, Resulting Numbers: [61]
61,51 unequal: No Solution
Exploring Operation: 45*16=720, Resulting Numbers: [720]
720,51 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 51:[5, 56], Operations: ['75/15=5', '45+11=56']
Exploring Operation: 5*56=280, Resulting Numbers: [280]
280,51 unequal: No Solution
Exploring Operation: 5+56=61, Resulting Numbers: [61]
61,51 unequal: No Solution
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[75, 45, 11, 15], Operations: []
Exploring Operation: 75/15=5, Resulting Numbers: [45, 11, 5]
Generated Node #0,2: 51:[45, 11, 5] Operation: 75/15=5
Moving to Node #0,2
Current State: 51:[45, 11, 5], Operations: ['75/15=5']
Exploring Operation: 45+11=56, Resulting Numbers: [5, 56]
Generated Node #0,2,1: 51:[5, 56] Operation: 45+11=56
Moving to Node #0,2,1
Current State: 51:[5, 56], Operations: ['75/15=5', '45+11=56']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
3,
12,
15,
35
] | 22 | [
"3*15=45",
"35-12=23",
"45-23=22"
] | Current State: 22:[3, 12, 15, 35], Operations: []
Exploring Operation: 3*15=45, Resulting Numbers: [12, 35, 45]
Generated Node #2: [12, 35, 45] from Operation: 3*15=45
Current State: 22:[12, 35, 45], Operations: ['3*15=45']
Exploring Operation: 35-12=23, Resulting Numbers: [45, 23]
Generated Node #3: [45, 23] from Operation: 35-12=23
Current State: 22:[45, 23], Operations: ['3*15=45', '35-12=23']
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[3, 12, 15, 35], Operations: []
Exploring Operation: 35-12=23, Resulting Numbers: [3, 15, 23]
Generated Node #0,0: 22:[3, 15, 23] Operation: 35-12=23
Exploring Operation: 35-15=20, Resulting Numbers: [3, 12, 20]
Generated Node #0,1: 22:[3, 12, 20] Operation: 35-15=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[3, 12, 20], Operations: ['35-15=20']
Exploring Operation: 3+20=23, Resulting Numbers: [12, 23]
Generated Node #0,1,0: 22:[12, 23] Operation: 3+20=23
Exploring Operation: 12-3=9, Resulting Numbers: [20, 9]
Generated Node #0,1,1: 22:[20, 9] Operation: 12-3=9
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 22:[12, 23], Operations: ['35-15=20', '3+20=23']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 22:[20, 9], Operations: ['35-15=20', '12-3=9']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[3, 15, 23], Operations: ['35-12=23']
Exploring Operation: 15/3=5, Resulting Numbers: [23, 5]
Generated Node #0,0,0: 22:[23, 5] Operation: 15/3=5
Exploring Operation: 15-3=12, Resulting Numbers: [23, 12]
Generated Node #0,0,1: 22:[23, 12] Operation: 15-3=12
Moving to Node #0,0,1
Current State: 22:[23, 12], Operations: ['35-12=23', '15-3=12']
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Moving to Node #0,0,0
Current State: 22:[23, 5], Operations: ['35-12=23', '15/3=5']
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,22 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
2,
66,
83,
99
] | 54 | [
"83-2=81",
"66*81=5346",
"5346/99=54"
] | Current State: 54:[2, 66, 83, 99], Operations: []
Exploring Operation: 83-2=81, Resulting Numbers: [66, 99, 81]
Generated Node #2: [66, 99, 81] from Operation: 83-2=81
Current State: 54:[66, 99, 81], Operations: ['83-2=81']
Exploring Operation: 66*81=5346, Resulting Numbers: [99, 5346]
Generated Node #3: [99, 5346] from Operation: 66*81=5346
Current State: 54:[99, 5346], Operations: ['83-2=81', '66*81=5346']
Exploring Operation: 5346/99=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[2, 66, 83, 99], Operations: []
Exploring Operation: 99-83=16, Resulting Numbers: [2, 66, 16]
Generated Node #0,0: 54:[2, 66, 16] Operation: 99-83=16
Exploring Operation: 83-66=17, Resulting Numbers: [2, 99, 17]
Generated Node #0,1: 54:[2, 99, 17] Operation: 83-66=17
Exploring Operation: 99-66=33, Resulting Numbers: [2, 83, 33]
Generated Node #0,2: 54:[2, 83, 33] Operation: 99-66=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[2, 66, 16], Operations: ['99-83=16']
Exploring Operation: 66-16=50, Resulting Numbers: [2, 50]
Generated Node #0,0,0: 54:[2, 50] Operation: 66-16=50
Exploring Operation: 66-2=64, Resulting Numbers: [16, 64]
Generated Node #0,0,1: 54:[16, 64] Operation: 66-2=64
Exploring Operation: 66/2=33, Resulting Numbers: [16, 33]
Generated Node #0,0,2: 54:[16, 33] Operation: 66/2=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[2, 50], Operations: ['99-83=16', '66-16=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,54 unequal: No Solution
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 54:[16, 33], Operations: ['99-83=16', '66/2=33']
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,54 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,54 unequal: No Solution
Exploring Operation: 16*33=528, Resulting Numbers: [528]
528,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 54:[16, 64], Operations: ['99-83=16', '66-2=64']
Exploring Operation: 16+64=80, Resulting Numbers: [80]
80,54 unequal: No Solution
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,54 unequal: No Solution
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[2, 83, 33], Operations: ['99-66=33']
Exploring Operation: 33-2=31, Resulting Numbers: [83, 31]
Generated Node #0,2,0: 54:[83, 31] Operation: 33-2=31
Exploring Operation: 83-2=81, Resulting Numbers: [33, 81]
Generated Node #0,2,1: 54:[33, 81] Operation: 83-2=81
Exploring Operation: 83-33=50, Resulting Numbers: [2, 50]
Generated Node #0,2,2: 54:[2, 50] Operation: 83-33=50
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 54:[2, 50], Operations: ['99-66=33', '83-33=50']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,54 unequal: No Solution
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,54 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 54:[83, 31], Operations: ['99-66=33', '33-2=31']
Exploring Operation: 83*31=2573, Resulting Numbers: [2573]
2573,54 unequal: No Solution
Exploring Operation: 83+31=114, Resulting Numbers: [114]
114,54 unequal: No Solution
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 54:[33, 81], Operations: ['99-66=33', '83-2=81']
Exploring Operation: 33*81=2673, Resulting Numbers: [2673]
2673,54 unequal: No Solution
Exploring Operation: 33+81=114, Resulting Numbers: [114]
114,54 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[2, 99, 17], Operations: ['83-66=17']
Exploring Operation: 2+17=19, Resulting Numbers: [99, 19]
Generated Node #0,1,0: 54:[99, 19] Operation: 2+17=19
Exploring Operation: 99-2=97, Resulting Numbers: [17, 97]
Generated Node #0,1,1: 54:[17, 97] Operation: 99-2=97
Exploring Operation: 99-17=82, Resulting Numbers: [2, 82]
Generated Node #0,1,2: 54:[2, 82] Operation: 99-17=82
Moving to Node #0,1,2
Current State: 54:[2, 82], Operations: ['83-66=17', '99-17=82']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,54 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,54 unequal: No Solution
Exploring Operation: 2+82=84, Resulting Numbers: [84]
84,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[17, 97], Operations: ['83-66=17', '99-2=97']
Exploring Operation: 17*97=1649, Resulting Numbers: [1649]
1649,54 unequal: No Solution
Exploring Operation: 17+97=114, Resulting Numbers: [114]
114,54 unequal: No Solution
Exploring Operation: 97-17=80, Resulting Numbers: [80]
80,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[99, 19], Operations: ['83-66=17', '2+17=19']
Exploring Operation: 99*19=1881, Resulting Numbers: [1881]
1881,54 unequal: No Solution
Exploring Operation: 99+19=118, Resulting Numbers: [118]
118,54 unequal: No Solution
Exploring Operation: 99-19=80, Resulting Numbers: [80]
80,54 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 |
[
9,
69,
73,
17
] | 19 | [
"73-69=4",
"9*4=36",
"36-17=19"
] | Current State: 19:[9, 69, 73, 17], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [9, 17, 4]
Generated Node #2: [9, 17, 4] from Operation: 73-69=4
Current State: 19:[9, 17, 4], Operations: ['73-69=4']
Exploring Operation: 9*4=36, Resulting Numbers: [17, 36]
Generated Node #3: [17, 36] from Operation: 9*4=36
Current State: 19:[17, 36], Operations: ['73-69=4', '9*4=36']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[9, 69, 73, 17], Operations: []
Exploring Operation: 73-9=64, Resulting Numbers: [69, 17, 64]
Generated Node #0,0: 19:[69, 17, 64] Operation: 73-9=64
Exploring Operation: 69-9=60, Resulting Numbers: [73, 17, 60]
Generated Node #0,1: 19:[73, 17, 60] Operation: 69-9=60
Exploring Operation: 73-69=4, Resulting Numbers: [9, 17, 4]
Generated Node #0,2: 19:[9, 17, 4] Operation: 73-69=4
Exploring Operation: 69-17=52, Resulting Numbers: [9, 73, 52]
Generated Node #0,3: 19:[9, 73, 52] Operation: 69-17=52
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[9, 17, 4], Operations: ['73-69=4']
Exploring Operation: 9+4=13, Resulting Numbers: [17, 13]
Generated Node #0,2,0: 19:[17, 13] Operation: 9+4=13
Exploring Operation: 17-4=13, Resulting Numbers: [9, 13]
Generated Node #0,2,1: 19:[9, 13] Operation: 17-4=13
Exploring Operation: 17+4=21, Resulting Numbers: [9, 21]
Generated Node #0,2,2: 19:[9, 21] Operation: 17+4=21
Exploring Operation: 9-4=5, Resulting Numbers: [17, 5]
Generated Node #0,2,3: 19:[17, 5] Operation: 9-4=5
Moving to Node #0,2,0
Current State: 19:[17, 13], Operations: ['73-69=4', '9+4=13']
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 17*13=221, Resulting Numbers: [221]
221,19 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[9, 21], Operations: ['73-69=4', '17+4=21']
Exploring Operation: 9*21=189, Resulting Numbers: [189]
189,19 unequal: No Solution
Exploring Operation: 9+21=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Moving to Node #0,2,3
Current State: 19:[17, 5], Operations: ['73-69=4', '9-4=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,19 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[9, 13], Operations: ['73-69=4', '17-4=13']
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 9*13=117, Resulting Numbers: [117]
117,19 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,19 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:[69, 17, 64], Operations: ['73-9=64']
Exploring Operation: 69+17=86, Resulting Numbers: [64, 86]
Generated Node #0,0,0: 19:[64, 86] Operation: 69+17=86
Exploring Operation: 64-17=47, Resulting Numbers: [69, 47]
Generated Node #0,0,1: 19:[69, 47] Operation: 64-17=47
Exploring Operation: 69-64=5, Resulting Numbers: [17, 5]
Generated Node #0,0,2: 19:[17, 5] Operation: 69-64=5
Exploring Operation: 69-17=52, Resulting Numbers: [64, 52]
Generated Node #0,0,3: 19:[64, 52] Operation: 69-17=52
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 19:[17, 5], Operations: ['73-9=64', '69-64=5']
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[69, 47], Operations: ['73-9=64', '64-17=47']
Exploring Operation: 69-47=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 69+47=116, Resulting Numbers: [116]
116,19 unequal: No Solution
Exploring Operation: 69*47=3243, Resulting Numbers: [3243]
3243,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 19:[64, 52], Operations: ['73-9=64', '69-17=52']
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 64+52=116, Resulting Numbers: [116]
116,19 unequal: No Solution
Exploring Operation: 64*52=3328, Resulting Numbers: [3328]
3328,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[64, 86], Operations: ['73-9=64', '69+17=86']
Exploring Operation: 64+86=150, Resulting Numbers: [150]
150,19 unequal: No Solution
Exploring Operation: 86-64=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 64*86=5504, Resulting Numbers: [5504]
5504,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[73, 17, 60], Operations: ['69-9=60']
Exploring Operation: 60-17=43, Resulting Numbers: [73, 43]
Generated Node #0,1,0: 19:[73, 43] Operation: 60-17=43
Exploring Operation: 73+17=90, Resulting Numbers: [60, 90]
Generated Node #0,1,1: 19:[60, 90] Operation: 73+17=90
Exploring Operation: 73-60=13, Resulting Numbers: [17, 13]
Generated Node #0,1,2: 19:[17, 13] Operation: 73-60=13
Exploring Operation: 73-17=56, Resulting Numbers: [60, 56]
Generated Node #0,1,3: 19:[60, 56] Operation: 73-17=56
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 19:[17, 13], Operations: ['69-9=60', '73-60=13']
Exploring Operation: 17*13=221, Resulting Numbers: [221]
221,19 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[73, 43], Operations: ['69-9=60', '60-17=43']
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 73+43=116, Resulting Numbers: [116]
116,19 unequal: No Solution
Exploring Operation: 73*43=3139, Resulting Numbers: [3139]
3139,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 19:[60, 56], Operations: ['69-9=60', '73-17=56']
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 60*56=3360, Resulting Numbers: [3360]
3360,19 unequal: No Solution
Exploring Operation: 60+56=116, Resulting Numbers: [116]
116,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 19:[60, 90], Operations: ['69-9=60', '73+17=90']
Exploring Operation: 90-60=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 60+90=150, Resulting Numbers: [150]
150,19 unequal: No Solution
Exploring Operation: 60*90=5400, Resulting Numbers: [5400]
5400,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[9, 73, 52], Operations: ['69-17=52']
Exploring Operation: 73-9=64, Resulting Numbers: [52, 64]
Generated Node #0,3,0: 19:[52, 64] Operation: 73-9=64
Exploring Operation: 9+73=82, Resulting Numbers: [52, 82]
Generated Node #0,3,1: 19:[52, 82] Operation: 9+73=82
Exploring Operation: 73-52=21, Resulting Numbers: [9, 21]
Generated Node #0,3,2: 19:[9, 21] Operation: 73-52=21
Exploring Operation: 52-9=43, Resulting Numbers: [73, 43]
Generated Node #0,3,3: 19:[73, 43] Operation: 52-9=43
Moving to Node #0,3,2
Current State: 19:[9, 21], Operations: ['69-17=52', '73-52=21']
Exploring Operation: 9+21=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 9*21=189, Resulting Numbers: [189]
189,19 unequal: No Solution
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Moving to Node #0,3,3
Current State: 19:[73, 43], Operations: ['69-17=52', '52-9=43']
Exploring Operation: 73*43=3139, Resulting Numbers: [3139]
3139,19 unequal: No Solution
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 73+43=116, Resulting Numbers: [116]
116,19 unequal: No Solution
Moving to Node #0,3,0
Current State: 19:[52, 64], Operations: ['69-17=52', '73-9=64']
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 52+64=116, Resulting Numbers: [116]
116,19 unequal: No Solution
Exploring Operation: 52*64=3328, Resulting Numbers: [3328]
3328,19 unequal: No Solution
Moving to Node #0,3,1
Current State: 19:[52, 82], Operations: ['69-17=52', '9+73=82']
Exploring Operation: 82-52=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 52*82=4264, Resulting Numbers: [4264]
4264,19 unequal: No Solution
Exploring Operation: 52+82=134, Resulting Numbers: [134]
134,19 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 |
[
89,
60,
57,
39
] | 51 | [
"89*39=3471",
"60*57=3420",
"3471-3420=51"
] | Current State: 51:[89, 60, 57, 39], Operations: []
Exploring Operation: 89*39=3471, Resulting Numbers: [60, 57, 3471]
Generated Node #2: [60, 57, 3471] from Operation: 89*39=3471
Current State: 51:[60, 57, 3471], Operations: ['89*39=3471']
Exploring Operation: 60*57=3420, Resulting Numbers: [3471, 3420]
Generated Node #3: [3471, 3420] from Operation: 60*57=3420
Current State: 51:[3471, 3420], Operations: ['89*39=3471', '60*57=3420']
Exploring Operation: 3471-3420=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[89, 60, 57, 39], Operations: []
Exploring Operation: 60-39=21, Resulting Numbers: [89, 57, 21]
Generated Node #0,0: 51:[89, 57, 21] Operation: 60-39=21
Exploring Operation: 89-39=50, Resulting Numbers: [60, 57, 50]
Generated Node #0,1: 51:[60, 57, 50] Operation: 89-39=50
Exploring Operation: 89-57=32, Resulting Numbers: [60, 39, 32]
Generated Node #0,2: 51:[60, 39, 32] Operation: 89-57=32
Exploring Operation: 57-39=18, Resulting Numbers: [89, 60, 18]
Generated Node #0,3: 51:[89, 60, 18] Operation: 57-39=18
Exploring Operation: 89-60=29, Resulting Numbers: [57, 39, 29]
Generated Node #0,4: 51:[57, 39, 29] Operation: 89-60=29
Moving to Node #0,1
Current State: 51:[60, 57, 50], Operations: ['89-39=50']
Exploring Operation: 57+50=107, Resulting Numbers: [60, 107]
Generated Node #0,1,0: 51:[60, 107] Operation: 57+50=107
Exploring Operation: 60+50=110, Resulting Numbers: [57, 110]
Generated Node #0,1,1: 51:[57, 110] Operation: 60+50=110
Exploring Operation: 60-57=3, Resulting Numbers: [50, 3]
Generated Node #0,1,2: 51:[50, 3] Operation: 60-57=3
Exploring Operation: 60-50=10, Resulting Numbers: [57, 10]
Generated Node #0,1,3: 51:[57, 10] Operation: 60-50=10
Exploring Operation: 57-50=7, Resulting Numbers: [60, 7]
Generated Node #0,1,4: 51:[60, 7] Operation: 57-50=7
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 51:[50, 3], Operations: ['89-39=50', '60-57=3']
Exploring Operation: 50*3=150, Resulting Numbers: [150]
150,51 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,51 unequal: No Solution
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 51:[57, 10], Operations: ['89-39=50', '60-50=10']
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,51 unequal: No Solution
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 51:[60, 7], Operations: ['89-39=50', '57-50=7']
Exploring Operation: 60*7=420, Resulting Numbers: [420]
420,51 unequal: No Solution
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,51 unequal: No Solution
Exploring Operation: 60+7=67, Resulting Numbers: [67]
67,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 51:[60, 107], Operations: ['89-39=50', '57+50=107']
Exploring Operation: 107-60=47, Resulting Numbers: [47]
47,51 unequal: No Solution
Exploring Operation: 60*107=6420, Resulting Numbers: [6420]
6420,51 unequal: No Solution
Exploring Operation: 60+107=167, Resulting Numbers: [167]
167,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 51:[57, 110], Operations: ['89-39=50', '60+50=110']
Exploring Operation: 110-57=53, Resulting Numbers: [53]
53,51 unequal: No Solution
Exploring Operation: 57*110=6270, Resulting Numbers: [6270]
6270,51 unequal: No Solution
Exploring Operation: 57+110=167, Resulting Numbers: [167]
167,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 51:[57, 39, 29], Operations: ['89-60=29']
Exploring Operation: 57+29=86, Resulting Numbers: [39, 86]
Generated Node #0,4,0: 51:[39, 86] Operation: 57+29=86
Exploring Operation: 39+29=68, Resulting Numbers: [57, 68]
Generated Node #0,4,1: 51:[57, 68] Operation: 39+29=68
Exploring Operation: 57-29=28, Resulting Numbers: [39, 28]
Generated Node #0,4,2: 51:[39, 28] Operation: 57-29=28
Exploring Operation: 57-39=18, Resulting Numbers: [29, 18]
Generated Node #0,4,3: 51:[29, 18] Operation: 57-39=18
Exploring Operation: 39-29=10, Resulting Numbers: [57, 10]
Generated Node #0,4,4: 51:[57, 10] Operation: 39-29=10
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 51:[29, 18], Operations: ['89-60=29', '57-39=18']
Exploring Operation: 29+18=47, Resulting Numbers: [47]
47,51 unequal: No Solution
Exploring Operation: 29*18=522, Resulting Numbers: [522]
522,51 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 51:[57, 10], Operations: ['89-60=29', '39-29=10']
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,51 unequal: No Solution
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 51:[57, 68], Operations: ['89-60=29', '39+29=68']
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 57+68=125, Resulting Numbers: [125]
125,51 unequal: No Solution
Exploring Operation: 57*68=3876, Resulting Numbers: [3876]
3876,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 51:[39, 28], Operations: ['89-60=29', '57-29=28']
Exploring Operation: 39*28=1092, Resulting Numbers: [1092]
1092,51 unequal: No Solution
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 39+28=67, Resulting Numbers: [67]
67,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 51:[39, 86], Operations: ['89-60=29', '57+29=86']
Exploring Operation: 39+86=125, Resulting Numbers: [125]
125,51 unequal: No Solution
Exploring Operation: 86-39=47, Resulting Numbers: [47]
47,51 unequal: No Solution
Exploring Operation: 39*86=3354, Resulting Numbers: [3354]
3354,51 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: 51:[60, 39, 32], Operations: ['89-57=32']
Exploring Operation: 60-39=21, Resulting Numbers: [32, 21]
Generated Node #0,2,0: 51:[32, 21] Operation: 60-39=21
Exploring Operation: 60-32=28, Resulting Numbers: [39, 28]
Generated Node #0,2,1: 51:[39, 28] Operation: 60-32=28
Exploring Operation: 60+32=92, Resulting Numbers: [39, 92]
Generated Node #0,2,2: 51:[39, 92] Operation: 60+32=92
Exploring Operation: 39-32=7, Resulting Numbers: [60, 7]
Generated Node #0,2,3: 51:[60, 7] Operation: 39-32=7
Exploring Operation: 39+32=71, Resulting Numbers: [60, 71]
Generated Node #0,2,4: 51:[60, 71] Operation: 39+32=71
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 51:[60, 7], Operations: ['89-57=32', '39-32=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,51 unequal: No Solution
Exploring Operation: 60*7=420, Resulting Numbers: [420]
420,51 unequal: No Solution
Exploring Operation: 60+7=67, Resulting Numbers: [67]
67,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[32, 21], Operations: ['89-57=32', '60-39=21']
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,51 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 32*21=672, Resulting Numbers: [672]
672,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 51:[39, 28], Operations: ['89-57=32', '60-32=28']
Exploring Operation: 39*28=1092, Resulting Numbers: [1092]
1092,51 unequal: No Solution
Exploring Operation: 39+28=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 51:[60, 71], Operations: ['89-57=32', '39+32=71']
Exploring Operation: 71-60=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 60*71=4260, Resulting Numbers: [4260]
4260,51 unequal: No Solution
Exploring Operation: 60+71=131, Resulting Numbers: [131]
131,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 51:[39, 92], Operations: ['89-57=32', '60+32=92']
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,51 unequal: No Solution
Exploring Operation: 39+92=131, Resulting Numbers: [131]
131,51 unequal: No Solution
Exploring Operation: 39*92=3588, Resulting Numbers: [3588]
3588,51 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: 51:[89, 57, 21], Operations: ['60-39=21']
Exploring Operation: 89+21=110, Resulting Numbers: [57, 110]
Generated Node #0,0,0: 51:[57, 110] Operation: 89+21=110
Exploring Operation: 57+21=78, Resulting Numbers: [89, 78]
Generated Node #0,0,1: 51:[89, 78] Operation: 57+21=78
Exploring Operation: 57-21=36, Resulting Numbers: [89, 36]
Generated Node #0,0,2: 51:[89, 36] Operation: 57-21=36
Exploring Operation: 89-57=32, Resulting Numbers: [21, 32]
Generated Node #0,0,3: 51:[21, 32] Operation: 89-57=32
Exploring Operation: 89-21=68, Resulting Numbers: [57, 68]
Generated Node #0,0,4: 51:[57, 68] Operation: 89-21=68
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 51:[21, 32], Operations: ['60-39=21', '89-57=32']
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,51 unequal: No Solution
Exploring Operation: 21*32=672, Resulting Numbers: [672]
672,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 51:[57, 68], Operations: ['60-39=21', '89-21=68']
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 57*68=3876, Resulting Numbers: [3876]
3876,51 unequal: No Solution
Exploring Operation: 57+68=125, Resulting Numbers: [125]
125,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 51:[89, 36], Operations: ['60-39=21', '57-21=36']
Exploring Operation: 89*36=3204, Resulting Numbers: [3204]
3204,51 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,51 unequal: No Solution
Exploring Operation: 89+36=125, Resulting Numbers: [125]
125,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[57, 110], Operations: ['60-39=21', '89+21=110']
Exploring Operation: 57*110=6270, Resulting Numbers: [6270]
6270,51 unequal: No Solution
Exploring Operation: 57+110=167, Resulting Numbers: [167]
167,51 unequal: No Solution
Exploring Operation: 110-57=53, Resulting Numbers: [53]
53,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[89, 78], Operations: ['60-39=21', '57+21=78']
Exploring Operation: 89-78=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 89*78=6942, Resulting Numbers: [6942]
6942,51 unequal: No Solution
Exploring Operation: 89+78=167, Resulting Numbers: [167]
167,51 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: 51:[89, 60, 18], Operations: ['57-39=18']
Exploring Operation: 89+18=107, Resulting Numbers: [60, 107]
Generated Node #0,3,0: 51:[60, 107] Operation: 89+18=107
Exploring Operation: 60-18=42, Resulting Numbers: [89, 42]
Generated Node #0,3,1: 51:[89, 42] Operation: 60-18=42
Exploring Operation: 89-60=29, Resulting Numbers: [18, 29]
Generated Node #0,3,2: 51:[18, 29] Operation: 89-60=29
Exploring Operation: 60+18=78, Resulting Numbers: [89, 78]
Generated Node #0,3,3: 51:[89, 78] Operation: 60+18=78
Exploring Operation: 89-18=71, Resulting Numbers: [60, 71]
Generated Node #0,3,4: 51:[60, 71] Operation: 89-18=71
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 51:[18, 29], Operations: ['57-39=18', '89-60=29']
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,51 unequal: No Solution
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,51 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 51:[60, 71], Operations: ['57-39=18', '89-18=71']
Exploring Operation: 60*71=4260, Resulting Numbers: [4260]
4260,51 unequal: No Solution
Exploring Operation: 60+71=131, Resulting Numbers: [131]
131,51 unequal: No Solution
Exploring Operation: 71-60=11, Resulting Numbers: [11]
11,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 51:[89, 42], Operations: ['57-39=18', '60-18=42']
Exploring Operation: 89*42=3738, Resulting Numbers: [3738]
3738,51 unequal: No Solution
Exploring Operation: 89-42=47, Resulting Numbers: [47]
47,51 unequal: No Solution
Exploring Operation: 89+42=131, Resulting Numbers: [131]
131,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 51:[60, 107], Operations: ['57-39=18', '89+18=107']
Exploring Operation: 60*107=6420, Resulting Numbers: [6420]
6420,51 unequal: No Solution
Exploring Operation: 60+107=167, Resulting Numbers: [167]
167,51 unequal: No Solution
Exploring Operation: 107-60=47, Resulting Numbers: [47]
47,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 51:[89, 78], Operations: ['57-39=18', '60+18=78']
Exploring Operation: 89*78=6942, Resulting Numbers: [6942]
6942,51 unequal: No Solution
Exploring Operation: 89+78=167, Resulting Numbers: [167]
167,51 unequal: No Solution
Exploring Operation: 89-78=11, Resulting Numbers: [11]
11,51 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 |
[
24,
46,
92,
27
] | 15 | [
"24*46=1104",
"1104/92=12",
"27-12=15"
] | Current State: 15:[24, 46, 92, 27], Operations: []
Exploring Operation: 24*46=1104, Resulting Numbers: [92, 27, 1104]
Generated Node #2: [92, 27, 1104] from Operation: 24*46=1104
Current State: 15:[92, 27, 1104], Operations: ['24*46=1104']
Exploring Operation: 1104/92=12, Resulting Numbers: [27, 12]
Generated Node #3: [27, 12] from Operation: 1104/92=12
Current State: 15:[27, 12], Operations: ['24*46=1104', '1104/92=12']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[24, 46, 92, 27], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [24, 27, 2]
Generated Node #0,0: 15:[24, 27, 2] Operation: 92/46=2
Exploring Operation: 92-46=46, Resulting Numbers: [24, 27, 46]
Generated Node #0,1: 15:[24, 27, 46] Operation: 92-46=46
Moving to Node #0,0
Current State: 15:[24, 27, 2], Operations: ['92/46=2']
Exploring Operation: 27-24=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 15:[2, 3] Operation: 27-24=3
Exploring Operation: 24/2=12, Resulting Numbers: [27, 12]
Generated Node #0,0,1: 15:[27, 12] Operation: 24/2=12
Moving to Node #0,1
Current State: 15:[24, 27, 46], Operations: ['92-46=46']
Exploring Operation: 46-27=19, Resulting Numbers: [24, 19]
Generated Node #0,1,0: 15:[24, 19] Operation: 46-27=19
Exploring Operation: 46-24=22, Resulting Numbers: [27, 22]
Generated Node #0,1,1: 15:[27, 22] Operation: 46-24=22
Moving to Node #0,0,0
Current State: 15:[2, 3], Operations: ['92/46=2', '27-24=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[24, 19], Operations: ['92-46=46', '46-27=19']
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[27, 12], Operations: ['92/46=2', '24/2=12']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[24, 46, 92, 27], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [24, 27, 2]
Generated Node #0,0: 15:[24, 27, 2] Operation: 92/46=2
Moving to Node #0,0
Current State: 15:[24, 27, 2], Operations: ['92/46=2']
Exploring Operation: 24/2=12, Resulting Numbers: [27, 12]
Generated Node #0,0,1: 15:[27, 12] Operation: 24/2=12
Moving to Node #0,0,1
Current State: 15:[27, 12], Operations: ['92/46=2', '24/2=12']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
7,
24,
45,
67
] | 56 | [
"7*24=168",
"45+67=112",
"168-112=56"
] | Current State: 56:[7, 24, 45, 67], Operations: []
Exploring Operation: 7*24=168, Resulting Numbers: [45, 67, 168]
Generated Node #2: [45, 67, 168] from Operation: 7*24=168
Current State: 56:[45, 67, 168], Operations: ['7*24=168']
Exploring Operation: 45+67=112, Resulting Numbers: [168, 112]
Generated Node #3: [168, 112] from Operation: 45+67=112
Current State: 56:[168, 112], Operations: ['7*24=168', '45+67=112']
Exploring Operation: 168-112=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[7, 24, 45, 67], Operations: []
Exploring Operation: 7+45=52, Resulting Numbers: [24, 67, 52]
Generated Node #0,0: 56:[24, 67, 52] Operation: 7+45=52
Exploring Operation: 67-7=60, Resulting Numbers: [24, 45, 60]
Generated Node #0,1: 56:[24, 45, 60] Operation: 67-7=60
Exploring Operation: 67-45=22, Resulting Numbers: [7, 24, 22]
Generated Node #0,2: 56:[7, 24, 22] Operation: 67-45=22
Exploring Operation: 45-24=21, Resulting Numbers: [7, 67, 21]
Generated Node #0,3: 56:[7, 67, 21] Operation: 45-24=21
Moving to Node #0,2
Current State: 56:[7, 24, 22], Operations: ['67-45=22']
Exploring Operation: 7+24=31, Resulting Numbers: [22, 31]
Generated Node #0,2,0: 56:[22, 31] Operation: 7+24=31
Exploring Operation: 7+22=29, Resulting Numbers: [24, 29]
Generated Node #0,2,1: 56:[24, 29] Operation: 7+22=29
Exploring Operation: 24-22=2, Resulting Numbers: [7, 2]
Generated Node #0,2,2: 56:[7, 2] Operation: 24-22=2
Exploring Operation: 22-7=15, Resulting Numbers: [24, 15]
Generated Node #0,2,3: 56:[24, 15] Operation: 22-7=15
Moving to Node #0,3
Current State: 56:[7, 67, 21], Operations: ['45-24=21']
Exploring Operation: 67-7=60, Resulting Numbers: [21, 60]
Generated Node #0,3,0: 56:[21, 60] Operation: 67-7=60
Exploring Operation: 21-7=14, Resulting Numbers: [67, 14]
Generated Node #0,3,1: 56:[67, 14] Operation: 21-7=14
Exploring Operation: 67-21=46, Resulting Numbers: [7, 46]
Generated Node #0,3,2: 56:[7, 46] Operation: 67-21=46
Exploring Operation: 7+21=28, Resulting Numbers: [67, 28]
Generated Node #0,3,3: 56:[67, 28] Operation: 7+21=28
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 56:[7, 46], Operations: ['45-24=21', '67-21=46']
Exploring Operation: 7+46=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 7*46=322, Resulting Numbers: [322]
322,56 unequal: No Solution
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 56:[21, 60], Operations: ['45-24=21', '67-7=60']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 21+60=81, Resulting Numbers: [81]
81,56 unequal: No Solution
Exploring Operation: 21*60=1260, Resulting Numbers: [1260]
1260,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 56:[67, 14], Operations: ['45-24=21', '21-7=14']
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,56 unequal: No Solution
Exploring Operation: 67*14=938, Resulting Numbers: [938]
938,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 56:[67, 28], Operations: ['45-24=21', '7+21=28']
Exploring Operation: 67+28=95, Resulting Numbers: [95]
95,56 unequal: No Solution
Exploring Operation: 67-28=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 67*28=1876, Resulting Numbers: [1876]
1876,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 56:[24, 45, 60], Operations: ['67-7=60']
Exploring Operation: 45-24=21, Resulting Numbers: [60, 21]
Generated Node #0,1,0: 56:[60, 21] Operation: 45-24=21
Exploring Operation: 60-24=36, Resulting Numbers: [45, 36]
Generated Node #0,1,1: 56:[45, 36] Operation: 60-24=36
Exploring Operation: 60-45=15, Resulting Numbers: [24, 15]
Generated Node #0,1,2: 56:[24, 15] Operation: 60-45=15
Exploring Operation: 24+45=69, Resulting Numbers: [60, 69]
Generated Node #0,1,3: 56:[60, 69] Operation: 24+45=69
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 56:[24, 15], Operations: ['67-7=60', '60-45=15']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 24*15=360, Resulting Numbers: [360]
360,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 56:[60, 21], Operations: ['67-7=60', '45-24=21']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 60+21=81, Resulting Numbers: [81]
81,56 unequal: No Solution
Exploring Operation: 60*21=1260, Resulting Numbers: [1260]
1260,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 56:[60, 69], Operations: ['67-7=60', '24+45=69']
Exploring Operation: 60+69=129, Resulting Numbers: [129]
129,56 unequal: No Solution
Exploring Operation: 60*69=4140, Resulting Numbers: [4140]
4140,56 unequal: No Solution
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 56:[45, 36], Operations: ['67-7=60', '60-24=36']
Exploring Operation: 45*36=1620, Resulting Numbers: [1620]
1620,56 unequal: No Solution
Exploring Operation: 45+36=81, Resulting Numbers: [81]
81,56 unequal: No Solution
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 56:[24, 67, 52], Operations: ['7+45=52']
Exploring Operation: 67-24=43, Resulting Numbers: [52, 43]
Generated Node #0,0,0: 56:[52, 43] Operation: 67-24=43
Exploring Operation: 67-52=15, Resulting Numbers: [24, 15]
Generated Node #0,0,1: 56:[24, 15] Operation: 67-52=15
Exploring Operation: 24+52=76, Resulting Numbers: [67, 76]
Generated Node #0,0,2: 56:[67, 76] Operation: 24+52=76
Exploring Operation: 52-24=28, Resulting Numbers: [67, 28]
Generated Node #0,0,3: 56:[67, 28] Operation: 52-24=28
Moving to Node #0,2,2
Current State: 56:[7, 2], Operations: ['67-45=22', '24-22=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Moving to Node #0,2,3
Current State: 56:[24, 15], Operations: ['67-45=22', '22-7=15']
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 24*15=360, Resulting Numbers: [360]
360,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[24, 29], Operations: ['67-45=22', '7+22=29']
Exploring Operation: 24+29=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 24*29=696, Resulting Numbers: [696]
696,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[24, 15], Operations: ['7+45=52', '67-52=15']
Exploring Operation: 24*15=360, Resulting Numbers: [360]
360,56 unequal: No Solution
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Moving to Node #0,2,0
Current State: 56:[22, 31], Operations: ['67-45=22', '7+24=31']
Exploring Operation: 22*31=682, Resulting Numbers: [682]
682,56 unequal: No Solution
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Moving to Node #0,0,3
Current State: 56:[67, 28], Operations: ['7+45=52', '52-24=28']
Exploring Operation: 67-28=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 67*28=1876, Resulting Numbers: [1876]
1876,56 unequal: No Solution
Exploring Operation: 67+28=95, Resulting Numbers: [95]
95,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[52, 43], Operations: ['7+45=52', '67-24=43']
Exploring Operation: 52*43=2236, Resulting Numbers: [2236]
2236,56 unequal: No Solution
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 52+43=95, Resulting Numbers: [95]
95,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[67, 76], Operations: ['7+45=52', '24+52=76']
Exploring Operation: 67*76=5092, Resulting Numbers: [5092]
5092,56 unequal: No Solution
Exploring Operation: 67+76=143, Resulting Numbers: [143]
143,56 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,56 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
81,
27,
77,
66
] | 14 | [
"81/27=3",
"77-66=11",
"3+11=14"
] | Current State: 14:[81, 27, 77, 66], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [77, 66, 3]
Generated Node #2: [77, 66, 3] from Operation: 81/27=3
Current State: 14:[77, 66, 3], Operations: ['81/27=3']
Exploring Operation: 77-66=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 77-66=11
Current State: 14:[3, 11], Operations: ['81/27=3', '77-66=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[81, 27, 77, 66], Operations: []
Exploring Operation: 81-77=4, Resulting Numbers: [27, 66, 4]
Generated Node #0,0: 14:[27, 66, 4] Operation: 81-77=4
Moving to Node #0,0
Current State: 14:[27, 66, 4], Operations: ['81-77=4']
Exploring Operation: 66-27=39, Resulting Numbers: [4, 39]
Generated Node #0,0,0: 14:[4, 39] Operation: 66-27=39
Moving to Node #0,0,0
Current State: 14:[4, 39], Operations: ['81-77=4', '66-27=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,14 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
42,
97,
63,
51
] | 25 | [
"42+97=139",
"63+51=114",
"139-114=25"
] | Current State: 25:[42, 97, 63, 51], Operations: []
Exploring Operation: 42+97=139, Resulting Numbers: [63, 51, 139]
Generated Node #2: [63, 51, 139] from Operation: 42+97=139
Current State: 25:[63, 51, 139], Operations: ['42+97=139']
Exploring Operation: 63+51=114, Resulting Numbers: [139, 114]
Generated Node #3: [139, 114] from Operation: 63+51=114
Current State: 25:[139, 114], Operations: ['42+97=139', '63+51=114']
Exploring Operation: 139-114=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[42, 97, 63, 51], Operations: []
Exploring Operation: 97-51=46, Resulting Numbers: [42, 63, 46]
Generated Node #0,0: 25:[42, 63, 46] Operation: 97-51=46
Exploring Operation: 97-42=55, Resulting Numbers: [63, 51, 55]
Generated Node #0,1: 25:[63, 51, 55] Operation: 97-42=55
Exploring Operation: 97-63=34, Resulting Numbers: [42, 51, 34]
Generated Node #0,2: 25:[42, 51, 34] Operation: 97-63=34
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[42, 51, 34], Operations: ['97-63=34']
Exploring Operation: 51-34=17, Resulting Numbers: [42, 17]
Generated Node #0,2,0: 25:[42, 17] Operation: 51-34=17
Exploring Operation: 42-34=8, Resulting Numbers: [51, 8]
Generated Node #0,2,1: 25:[51, 8] Operation: 42-34=8
Exploring Operation: 51-42=9, Resulting Numbers: [34, 9]
Generated Node #0,2,2: 25:[34, 9] Operation: 51-42=9
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 25:[34, 9], Operations: ['97-63=34', '51-42=9']
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,25 unequal: No Solution
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,25 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[42, 97, 63, 51], Operations: []
Exploring Operation: 97-63=34, Resulting Numbers: [42, 51, 34]
Generated Node #0,2: 25:[42, 51, 34] Operation: 97-63=34
Moving to Node #0,2
Current State: 25:[42, 51, 34], Operations: ['97-63=34']
Exploring Operation: 51-42=9, Resulting Numbers: [34, 9]
Generated Node #0,2,2: 25:[34, 9] Operation: 51-42=9
Moving to Node #0,2,2
Current State: 25:[34, 9], Operations: ['97-63=34', '51-42=9']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
83,
15,
55,
37
] | 63 | [
"83+37=120",
"120/15=8",
"55+8=63"
] | Current State: 63:[83, 15, 55, 37], Operations: []
Exploring Operation: 83+37=120, Resulting Numbers: [15, 55, 120]
Generated Node #2: [15, 55, 120] from Operation: 83+37=120
Current State: 63:[15, 55, 120], Operations: ['83+37=120']
Exploring Operation: 120/15=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 120/15=8
Current State: 63:[55, 8], Operations: ['83+37=120', '120/15=8']
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[83, 15, 55, 37], Operations: []
Exploring Operation: 83-15=68, Resulting Numbers: [55, 37, 68]
Generated Node #0,0: 63:[55, 37, 68] Operation: 83-15=68
Moving to Node #0,0
Current State: 63:[55, 37, 68], Operations: ['83-15=68']
Exploring Operation: 55-37=18, Resulting Numbers: [68, 18]
Generated Node #0,0,0: 63:[68, 18] Operation: 55-37=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[68, 18], Operations: ['83-15=68', '55-37=18']
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
96,
3,
23,
15
] | 28 | [
"96-23=73",
"3*15=45",
"73-45=28"
] | Current State: 28:[96, 3, 23, 15], Operations: []
Exploring Operation: 96-23=73, Resulting Numbers: [3, 15, 73]
Generated Node #2: [3, 15, 73] from Operation: 96-23=73
Current State: 28:[3, 15, 73], Operations: ['96-23=73']
Exploring Operation: 3*15=45, Resulting Numbers: [73, 45]
Generated Node #3: [73, 45] from Operation: 3*15=45
Current State: 28:[73, 45], Operations: ['96-23=73', '3*15=45']
Exploring Operation: 73-45=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[96, 3, 23, 15], Operations: []
Exploring Operation: 96-23=73, Resulting Numbers: [3, 15, 73]
Generated Node #0,0: 28:[3, 15, 73] Operation: 96-23=73
Exploring Operation: 96/3=32, Resulting Numbers: [23, 15, 32]
Generated Node #0,1: 28:[23, 15, 32] Operation: 96/3=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[23, 15, 32], Operations: ['96/3=32']
Exploring Operation: 32-23=9, Resulting Numbers: [15, 9]
Generated Node #0,1,0: 28:[15, 9] Operation: 32-23=9
Exploring Operation: 23-15=8, Resulting Numbers: [32, 8]
Generated Node #0,1,1: 28:[32, 8] Operation: 23-15=8
Moving to Node #0,1,0
Current State: 28:[15, 9], Operations: ['96/3=32', '32-23=9']
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[32, 8], Operations: ['96/3=32', '23-15=8']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[3, 15, 73], Operations: ['96-23=73']
Exploring Operation: 73-3=70, Resulting Numbers: [15, 70]
Generated Node #0,0,0: 28:[15, 70] Operation: 73-3=70
Exploring Operation: 73-15=58, Resulting Numbers: [3, 58]
Generated Node #0,0,1: 28:[3, 58] Operation: 73-15=58
Moving to Node #0,0,1
Current State: 28:[3, 58], Operations: ['96-23=73', '73-15=58']
Exploring Operation: 3+58=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[15, 70], Operations: ['96-23=73', '73-3=70']
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,28 unequal: No Solution
Exploring Operation: 15+70=85, Resulting Numbers: [85]
85,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
40,
95,
37,
5
] | 88 | [
"95*37=3515",
"5+3515=3520",
"3520/40=88"
] | Current State: 88:[40, 95, 37, 5], Operations: []
Exploring Operation: 95*37=3515, Resulting Numbers: [40, 5, 3515]
Generated Node #2: [40, 5, 3515] from Operation: 95*37=3515
Current State: 88:[40, 5, 3515], Operations: ['95*37=3515']
Exploring Operation: 5+3515=3520, Resulting Numbers: [40, 3520]
Generated Node #3: [40, 3520] from Operation: 5+3515=3520
Current State: 88:[40, 3520], Operations: ['95*37=3515', '5+3515=3520']
Exploring Operation: 3520/40=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[40, 95, 37, 5], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [95, 5, 3]
Generated Node #0,0: 88:[95, 5, 3] Operation: 40-37=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[95, 5, 3], Operations: ['40-37=3']
Exploring Operation: 95-5=90, Resulting Numbers: [3, 90]
Generated Node #0,0,0: 88:[3, 90] Operation: 95-5=90
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[3, 90], Operations: ['40-37=3', '95-5=90']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
92,
73,
22,
15
] | 11 | [
"92+73=165",
"165/15=11",
"22-11=11"
] | Current State: 11:[92, 73, 22, 15], Operations: []
Exploring Operation: 92+73=165, Resulting Numbers: [22, 15, 165]
Generated Node #2: [22, 15, 165] from Operation: 92+73=165
Current State: 11:[22, 15, 165], Operations: ['92+73=165']
Exploring Operation: 165/15=11, Resulting Numbers: [22, 11]
Generated Node #3: [22, 11] from Operation: 165/15=11
Current State: 11:[22, 11], Operations: ['92+73=165', '165/15=11']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[92, 73, 22, 15], Operations: []
Exploring Operation: 92-73=19, Resulting Numbers: [22, 15, 19]
Generated Node #0,0: 11:[22, 15, 19] Operation: 92-73=19
Exploring Operation: 92-15=77, Resulting Numbers: [73, 22, 77]
Generated Node #0,1: 11:[73, 22, 77] Operation: 92-15=77
Exploring Operation: 73-22=51, Resulting Numbers: [92, 15, 51]
Generated Node #0,2: 11:[92, 15, 51] Operation: 73-22=51
Exploring Operation: 92-22=70, Resulting Numbers: [73, 15, 70]
Generated Node #0,3: 11:[73, 15, 70] Operation: 92-22=70
Moving to Node #0,0
Current State: 11:[22, 15, 19], Operations: ['92-73=19']
Exploring Operation: 22-15=7, Resulting Numbers: [19, 7]
Generated Node #0,0,0: 11:[19, 7] Operation: 22-15=7
Exploring Operation: 19-15=4, Resulting Numbers: [22, 4]
Generated Node #0,0,1: 11:[22, 4] Operation: 19-15=4
Exploring Operation: 22+15=37, Resulting Numbers: [19, 37]
Generated Node #0,0,2: 11:[19, 37] Operation: 22+15=37
Exploring Operation: 22-19=3, Resulting Numbers: [15, 3]
Generated Node #0,0,3: 11:[15, 3] Operation: 22-19=3
Moving to Node #0,3
Current State: 11:[73, 15, 70], Operations: ['92-22=70']
Exploring Operation: 73-70=3, Resulting Numbers: [15, 3]
Generated Node #0,3,0: 11:[15, 3] Operation: 73-70=3
Exploring Operation: 73+15=88, Resulting Numbers: [70, 88]
Generated Node #0,3,1: 11:[70, 88] Operation: 73+15=88
Exploring Operation: 73-15=58, Resulting Numbers: [70, 58]
Generated Node #0,3,2: 11:[70, 58] Operation: 73-15=58
Exploring Operation: 70-15=55, Resulting Numbers: [73, 55]
Generated Node #0,3,3: 11:[73, 55] Operation: 70-15=55
Moving to Node #0,2
Current State: 11:[92, 15, 51], Operations: ['73-22=51']
Exploring Operation: 92+15=107, Resulting Numbers: [51, 107]
Generated Node #0,2,0: 11:[51, 107] Operation: 92+15=107
Exploring Operation: 51-15=36, Resulting Numbers: [92, 36]
Generated Node #0,2,1: 11:[92, 36] Operation: 51-15=36
Exploring Operation: 92-15=77, Resulting Numbers: [51, 77]
Generated Node #0,2,2: 11:[51, 77] Operation: 92-15=77
Exploring Operation: 92-51=41, Resulting Numbers: [15, 41]
Generated Node #0,2,3: 11:[15, 41] Operation: 92-51=41
Moving to Node #0,1
Current State: 11:[73, 22, 77], Operations: ['92-15=77']
Exploring Operation: 77-22=55, Resulting Numbers: [73, 55]
Generated Node #0,1,0: 11:[73, 55] Operation: 77-22=55
Exploring Operation: 73+22=95, Resulting Numbers: [77, 95]
Generated Node #0,1,1: 11:[77, 95] Operation: 73+22=95
Exploring Operation: 77-73=4, Resulting Numbers: [22, 4]
Generated Node #0,1,2: 11:[22, 4] Operation: 77-73=4
Exploring Operation: 73-22=51, Resulting Numbers: [77, 51]
Generated Node #0,1,3: 11:[77, 51] Operation: 73-22=51
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 11:[22, 4], Operations: ['92-15=77', '77-73=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,11 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,11 unequal: No Solution
No solution 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:[73, 55], Operations: ['92-15=77', '77-22=55']
Exploring Operation: 73*55=4015, Resulting Numbers: [4015]
4015,11 unequal: No Solution
Exploring Operation: 73-55=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 73+55=128, Resulting Numbers: [128]
128,11 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:[77, 51], Operations: ['92-15=77', '73-22=51']
Exploring Operation: 77*51=3927, Resulting Numbers: [3927]
3927,11 unequal: No Solution
Exploring Operation: 77+51=128, Resulting Numbers: [128]
128,11 unequal: No Solution
Exploring Operation: 77-51=26, Resulting Numbers: [26]
26,11 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 #0,1,1
Current State: 11:[77, 95], Operations: ['92-15=77', '73+22=95']
Exploring Operation: 95-77=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 77*95=7315, Resulting Numbers: [7315]
7315,11 unequal: No Solution
Exploring Operation: 77+95=172, Resulting Numbers: [172]
172,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 11:[19, 7], Operations: ['92-73=19', '22-15=7']
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,11 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Moving to Node #0,0,3
Current State: 11:[15, 3], Operations: ['92-73=19', '22-19=3']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Moving to Node #0,3,0
Current State: 11:[15, 3], Operations: ['92-22=70', '73-70=3']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[22, 4], Operations: ['92-73=19', '19-15=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,11 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[19, 37], Operations: ['92-73=19', '22+15=37']
Exploring Operation: 19*37=703, Resulting Numbers: [703]
703,11 unequal: No Solution
Exploring Operation: 19+37=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[15, 41], Operations: ['73-22=51', '92-51=41']
Exploring Operation: 15+41=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 15*41=615, Resulting Numbers: [615]
615,11 unequal: No Solution
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Moving to Node #0,3,3
Current State: 11:[73, 55], Operations: ['92-22=70', '70-15=55']
Exploring Operation: 73*55=4015, Resulting Numbers: [4015]
4015,11 unequal: No Solution
Exploring Operation: 73-55=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 73+55=128, Resulting Numbers: [128]
128,11 unequal: No Solution
Moving to Node #0,3,2
Current State: 11:[70, 58], Operations: ['92-22=70', '73-15=58']
Exploring Operation: 70+58=128, Resulting Numbers: [128]
128,11 unequal: No Solution
Exploring Operation: 70-58=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 70*58=4060, Resulting Numbers: [4060]
4060,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[92, 36], Operations: ['73-22=51', '51-15=36']
Exploring Operation: 92+36=128, Resulting Numbers: [128]
128,11 unequal: No Solution
Exploring Operation: 92-36=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 92*36=3312, Resulting Numbers: [3312]
3312,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[51, 77], Operations: ['73-22=51', '92-15=77']
Exploring Operation: 51+77=128, Resulting Numbers: [128]
128,11 unequal: No Solution
Exploring Operation: 51*77=3927, Resulting Numbers: [3927]
3927,11 unequal: No Solution
Exploring Operation: 77-51=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Moving to Node #0,3,1
Current State: 11:[70, 88], Operations: ['92-22=70', '73+15=88']
Exploring Operation: 70*88=6160, Resulting Numbers: [6160]
6160,11 unequal: No Solution
Exploring Operation: 70+88=158, Resulting Numbers: [158]
158,11 unequal: No Solution
Exploring Operation: 88-70=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[51, 107], Operations: ['73-22=51', '92+15=107']
Exploring Operation: 107-51=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 51+107=158, Resulting Numbers: [158]
158,11 unequal: No Solution
Exploring Operation: 51*107=5457, Resulting Numbers: [5457]
5457,11 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
22,
71,
78,
1
] | 29 | [
"71-22=49",
"78*1=78",
"78-49=29"
] | Current State: 29:[22, 71, 78, 1], Operations: []
Exploring Operation: 71-22=49, Resulting Numbers: [78, 1, 49]
Generated Node #2: [78, 1, 49] from Operation: 71-22=49
Current State: 29:[78, 1, 49], Operations: ['71-22=49']
Exploring Operation: 78*1=78, Resulting Numbers: [49, 78]
Generated Node #3: [49, 78] from Operation: 78*1=78
Current State: 29:[49, 78], Operations: ['71-22=49', '78*1=78']
Exploring Operation: 78-49=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[22, 71, 78, 1], Operations: []
Exploring Operation: 78-71=7, Resulting Numbers: [22, 1, 7]
Generated Node #0,0: 29:[22, 1, 7] Operation: 78-71=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[22, 1, 7], Operations: ['78-71=7']
Exploring Operation: 22+1=23, Resulting Numbers: [7, 23]
Generated Node #0,0,0: 29:[7, 23] Operation: 22+1=23
Moving to Node #0,0,0
Current State: 29:[7, 23], Operations: ['78-71=7', '22+1=23']
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
57,
31,
24,
27
] | 45 | [
"57*24=1368",
"27+1368=1395",
"1395/31=45"
] | Current State: 45:[57, 31, 24, 27], Operations: []
Exploring Operation: 57*24=1368, Resulting Numbers: [31, 27, 1368]
Generated Node #2: [31, 27, 1368] from Operation: 57*24=1368
Current State: 45:[31, 27, 1368], Operations: ['57*24=1368']
Exploring Operation: 27+1368=1395, Resulting Numbers: [31, 1395]
Generated Node #3: [31, 1395] from Operation: 27+1368=1395
Current State: 45:[31, 1395], Operations: ['57*24=1368', '27+1368=1395']
Exploring Operation: 1395/31=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[57, 31, 24, 27], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [57, 24, 4]
Generated Node #0,0: 45:[57, 24, 4] Operation: 31-27=4
Exploring Operation: 31-24=7, Resulting Numbers: [57, 27, 7]
Generated Node #0,1: 45:[57, 27, 7] Operation: 31-24=7
Exploring Operation: 27-24=3, Resulting Numbers: [57, 31, 3]
Generated Node #0,2: 45:[57, 31, 3] Operation: 27-24=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[57, 24, 4], Operations: ['31-27=4']
Exploring Operation: 24/4=6, Resulting Numbers: [57, 6]
Generated Node #0,0,0: 45:[57, 6] Operation: 24/4=6
Exploring Operation: 57-4=53, Resulting Numbers: [24, 53]
Generated Node #0,0,1: 45:[24, 53] Operation: 57-4=53
Exploring Operation: 57-24=33, Resulting Numbers: [4, 33]
Generated Node #0,0,2: 45:[4, 33] Operation: 57-24=33
Moving to Node #0,0,0
Current State: 45:[57, 6], Operations: ['31-27=4', '24/4=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,45 unequal: No Solution
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,45 unequal: No Solution
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,45 unequal: No Solution
Moving to Node #0,0,2
Current State: 45:[4, 33], Operations: ['31-27=4', '57-24=33']
Exploring Operation: 4*33=132, Resulting Numbers: [132]
132,45 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,45 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,45 unequal: No Solution
Moving to Node #0,0,1
Current State: 45:[24, 53], Operations: ['31-27=4', '57-4=53']
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,45 unequal: No Solution
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,45 unequal: No Solution
Exploring Operation: 24*53=1272, Resulting Numbers: [1272]
1272,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[57, 27, 7], Operations: ['31-24=7']
Exploring Operation: 27-7=20, Resulting Numbers: [57, 20]
Generated Node #0,1,0: 45:[57, 20] Operation: 27-7=20
Exploring Operation: 57-7=50, Resulting Numbers: [27, 50]
Generated Node #0,1,1: 45:[27, 50] Operation: 57-7=50
Exploring Operation: 57-27=30, Resulting Numbers: [7, 30]
Generated Node #0,1,2: 45:[7, 30] Operation: 57-27=30
Moving to Node #0,1,0
Current State: 45:[57, 20], Operations: ['31-24=7', '27-7=20']
Exploring Operation: 57*20=1140, Resulting Numbers: [1140]
1140,45 unequal: No Solution
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,45 unequal: No Solution
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,45 unequal: No Solution
Moving to Node #0,1,1
Current State: 45:[27, 50], Operations: ['31-24=7', '57-7=50']
Exploring Operation: 27*50=1350, Resulting Numbers: [1350]
1350,45 unequal: No Solution
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,45 unequal: No Solution
Exploring Operation: 27+50=77, Resulting Numbers: [77]
77,45 unequal: No Solution
Moving to Node #0,1,2
Current State: 45:[7, 30], Operations: ['31-24=7', '57-27=30']
Exploring Operation: 7*30=210, Resulting Numbers: [210]
210,45 unequal: No Solution
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,45 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[57, 31, 3], Operations: ['27-24=3']
Exploring Operation: 57/3=19, Resulting Numbers: [31, 19]
Generated Node #0,2,0: 45:[31, 19] Operation: 57/3=19
Exploring Operation: 57-31=26, Resulting Numbers: [3, 26]
Generated Node #0,2,1: 45:[3, 26] Operation: 57-31=26
Exploring Operation: 57-3=54, Resulting Numbers: [31, 54]
Generated Node #0,2,2: 45:[31, 54] Operation: 57-3=54
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 45:[3, 26], Operations: ['27-24=3', '57-31=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,45 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,45 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,45 unequal: No Solution
No 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: 45:[31, 19], Operations: ['27-24=3', '57/3=19']
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,45 unequal: No Solution
Exploring Operation: 31*19=589, Resulting Numbers: [589]
589,45 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,45 unequal: No Solution
No 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: 45:[31, 54], Operations: ['27-24=3', '57-3=54']
Exploring Operation: 31+54=85, Resulting Numbers: [85]
85,45 unequal: No Solution
Exploring Operation: 31*54=1674, Resulting Numbers: [1674]
1674,45 unequal: No Solution
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
23,
77,
12,
75
] | 37 | [
"23+77=100",
"75-12=63",
"100-63=37"
] | Current State: 37:[23, 77, 12, 75], Operations: []
Exploring Operation: 23+77=100, Resulting Numbers: [12, 75, 100]
Generated Node #2: [12, 75, 100] from Operation: 23+77=100
Current State: 37:[12, 75, 100], Operations: ['23+77=100']
Exploring Operation: 75-12=63, Resulting Numbers: [100, 63]
Generated Node #3: [100, 63] from Operation: 75-12=63
Current State: 37:[100, 63], Operations: ['23+77=100', '75-12=63']
Exploring Operation: 100-63=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[23, 77, 12, 75], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [23, 12, 2]
Generated Node #0,0: 37:[23, 12, 2] Operation: 77-75=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[23, 12, 2], Operations: ['77-75=2']
Exploring Operation: 12*2=24, Resulting Numbers: [23, 24]
Generated Node #0,0,0: 37:[23, 24] Operation: 12*2=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[23, 24], Operations: ['77-75=2', '12*2=24']
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
61,
39,
66,
35
] | 79 | [
"61-39=22",
"66+35=101",
"101-22=79"
] | Current State: 79:[61, 39, 66, 35], Operations: []
Exploring Operation: 61-39=22, Resulting Numbers: [66, 35, 22]
Generated Node #2: [66, 35, 22] from Operation: 61-39=22
Current State: 79:[66, 35, 22], Operations: ['61-39=22']
Exploring Operation: 66+35=101, Resulting Numbers: [22, 101]
Generated Node #3: [22, 101] from Operation: 66+35=101
Current State: 79:[22, 101], Operations: ['61-39=22', '66+35=101']
Exploring Operation: 101-22=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[61, 39, 66, 35], Operations: []
Exploring Operation: 39+35=74, Resulting Numbers: [61, 66, 74]
Generated Node #0,0: 79:[61, 66, 74] Operation: 39+35=74
Moving to Node #0,0
Current State: 79:[61, 66, 74], Operations: ['39+35=74']
Exploring Operation: 61+66=127, Resulting Numbers: [74, 127]
Generated Node #0,0,0: 79:[74, 127] Operation: 61+66=127
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[74, 127], Operations: ['39+35=74', '61+66=127']
Exploring Operation: 127-74=53, Resulting Numbers: [53]
53,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
2,
37,
30,
47
] | 61 | [
"37-30=7",
"2*7=14",
"47+14=61"
] | Current State: 61:[2, 37, 30, 47], Operations: []
Exploring Operation: 37-30=7, Resulting Numbers: [2, 47, 7]
Generated Node #2: [2, 47, 7] from Operation: 37-30=7
Current State: 61:[2, 47, 7], Operations: ['37-30=7']
Exploring Operation: 2*7=14, Resulting Numbers: [47, 14]
Generated Node #3: [47, 14] from Operation: 2*7=14
Current State: 61:[47, 14], Operations: ['37-30=7', '2*7=14']
Exploring Operation: 47+14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[2, 37, 30, 47], Operations: []
Exploring Operation: 2*37=74, Resulting Numbers: [30, 47, 74]
Generated Node #0,0: 61:[30, 47, 74] Operation: 2*37=74
Exploring Operation: 2*30=60, Resulting Numbers: [37, 47, 60]
Generated Node #0,1: 61:[37, 47, 60] Operation: 2*30=60
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[37, 47, 60], Operations: ['2*30=60']
Exploring Operation: 37+47=84, Resulting Numbers: [60, 84]
Generated Node #0,1,0: 61:[60, 84] Operation: 37+47=84
Exploring Operation: 37+60=97, Resulting Numbers: [47, 97]
Generated Node #0,1,1: 61:[47, 97] Operation: 37+60=97
Moving to Node #0,1,0
Current State: 61:[60, 84], Operations: ['2*30=60', '37+47=84']
Exploring Operation: 84-60=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 60+84=144, Resulting Numbers: [144]
144,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[47, 97], Operations: ['2*30=60', '37+60=97']
Exploring Operation: 47+97=144, Resulting Numbers: [144]
144,61 unequal: No Solution
Exploring Operation: 97-47=50, Resulting Numbers: [50]
50,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[30, 47, 74], Operations: ['2*37=74']
Exploring Operation: 30+47=77, Resulting Numbers: [74, 77]
Generated Node #0,0,0: 61:[74, 77] Operation: 30+47=77
Exploring Operation: 74-30=44, Resulting Numbers: [47, 44]
Generated Node #0,0,1: 61:[47, 44] Operation: 74-30=44
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[74, 77], Operations: ['2*37=74', '30+47=77']
Exploring Operation: 77-74=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 74+77=151, Resulting Numbers: [151]
151,61 unequal: No Solution
No 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: 61:[47, 44], Operations: ['2*37=74', '74-30=44']
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 47+44=91, Resulting Numbers: [91]
91,61 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 |
[
16,
3,
32,
41
] | 79 | [
"32/16=2",
"41*2=82",
"82-3=79"
] | Current State: 79:[16, 3, 32, 41], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [3, 41, 2]
Generated Node #2: [3, 41, 2] from Operation: 32/16=2
Current State: 79:[3, 41, 2], Operations: ['32/16=2']
Exploring Operation: 41*2=82, Resulting Numbers: [3, 82]
Generated Node #3: [3, 82] from Operation: 41*2=82
Current State: 79:[3, 82], Operations: ['32/16=2', '41*2=82']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[16, 3, 32, 41], Operations: []
Exploring Operation: 16+32=48, Resulting Numbers: [3, 41, 48]
Generated Node #0,0: 79:[3, 41, 48] Operation: 16+32=48
Exploring Operation: 16+3=19, Resulting Numbers: [32, 41, 19]
Generated Node #0,1: 79:[32, 41, 19] Operation: 16+3=19
Exploring Operation: 3*32=96, Resulting Numbers: [16, 41, 96]
Generated Node #0,2: 79:[16, 41, 96] Operation: 3*32=96
Exploring Operation: 16*3=48, Resulting Numbers: [32, 41, 48]
Generated Node #0,3: 79:[32, 41, 48] Operation: 16*3=48
Moving to Node #0,3
Current State: 79:[32, 41, 48], Operations: ['16*3=48']
Exploring Operation: 32+41=73, Resulting Numbers: [48, 73]
Generated Node #0,3,0: 79:[48, 73] Operation: 32+41=73
Exploring Operation: 32+48=80, Resulting Numbers: [41, 80]
Generated Node #0,3,1: 79:[41, 80] Operation: 32+48=80
Exploring Operation: 41-32=9, Resulting Numbers: [48, 9]
Generated Node #0,3,2: 79:[48, 9] Operation: 41-32=9
Exploring Operation: 41+48=89, Resulting Numbers: [32, 89]
Generated Node #0,3,3: 79:[32, 89] Operation: 41+48=89
Moving to Node #0,2
Current State: 79:[16, 41, 96], Operations: ['3*32=96']
Exploring Operation: 96-16=80, Resulting Numbers: [41, 80]
Generated Node #0,2,0: 79:[41, 80] Operation: 96-16=80
Exploring Operation: 16+41=57, Resulting Numbers: [96, 57]
Generated Node #0,2,1: 79:[96, 57] Operation: 16+41=57
Exploring Operation: 41-16=25, Resulting Numbers: [96, 25]
Generated Node #0,2,2: 79:[96, 25] Operation: 41-16=25
Exploring Operation: 16+96=112, Resulting Numbers: [41, 112]
Generated Node #0,2,3: 79:[41, 112] Operation: 16+96=112
Moving to Node #0,1
Current State: 79:[32, 41, 19], Operations: ['16+3=19']
Exploring Operation: 41+19=60, Resulting Numbers: [32, 60]
Generated Node #0,1,0: 79:[32, 60] Operation: 41+19=60
Exploring Operation: 32-19=13, Resulting Numbers: [41, 13]
Generated Node #0,1,1: 79:[41, 13] Operation: 32-19=13
Exploring Operation: 32+19=51, Resulting Numbers: [41, 51]
Generated Node #0,1,2: 79:[41, 51] Operation: 32+19=51
Exploring Operation: 32+41=73, Resulting Numbers: [19, 73]
Generated Node #0,1,3: 79:[19, 73] Operation: 32+41=73
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[32, 60], Operations: ['16+3=19', '41+19=60']
Exploring Operation: 32*60=1920, Resulting Numbers: [1920]
1920,79 unequal: No Solution
Exploring Operation: 32+60=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 60-32=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[41, 51], Operations: ['16+3=19', '32+19=51']
Exploring Operation: 41*51=2091, Resulting Numbers: [2091]
2091,79 unequal: No Solution
Exploring Operation: 41+51=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 79:[19, 73], Operations: ['16+3=19', '32+41=73']
Exploring Operation: 19*73=1387, Resulting Numbers: [1387]
1387,79 unequal: No Solution
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 19+73=92, Resulting Numbers: [92]
92,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[41, 13], Operations: ['16+3=19', '32-19=13']
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,79 unequal: No Solution
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 79:[3, 41, 48], Operations: ['16+32=48']
Exploring Operation: 41-3=38, Resulting Numbers: [48, 38]
Generated Node #0,0,0: 79:[48, 38] Operation: 41-3=38
Exploring Operation: 48-3=45, Resulting Numbers: [41, 45]
Generated Node #0,0,1: 79:[41, 45] Operation: 48-3=45
Exploring Operation: 3+48=51, Resulting Numbers: [41, 51]
Generated Node #0,0,2: 79:[41, 51] Operation: 3+48=51
Exploring Operation: 3+41=44, Resulting Numbers: [48, 44]
Generated Node #0,0,3: 79:[48, 44] Operation: 3+41=44
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[41, 51], Operations: ['16+32=48', '3+48=51']
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 41+51=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 41*51=2091, Resulting Numbers: [2091]
2091,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 79:[48, 44], Operations: ['16+32=48', '3+41=44']
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 48-44=4, Resulting Numbers: [4]
4,79 unequal: No Solution
Exploring Operation: 48*44=2112, Resulting Numbers: [2112]
2112,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[48, 38], Operations: ['16+32=48', '41-3=38']
Exploring Operation: 48+38=86, Resulting Numbers: [86]
86,79 unequal: No Solution
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 48*38=1824, Resulting Numbers: [1824]
1824,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[41, 45], Operations: ['16+32=48', '48-3=45']
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,79 unequal: No Solution
Exploring Operation: 41+45=86, Resulting Numbers: [86]
86,79 unequal: No Solution
Exploring Operation: 41*45=1845, Resulting Numbers: [1845]
1845,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 79:[48, 73], Operations: ['16*3=48', '32+41=73']
Exploring Operation: 48+73=121, Resulting Numbers: [121]
121,79 unequal: No Solution
Exploring Operation: 48*73=3504, Resulting Numbers: [3504]
3504,79 unequal: No Solution
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[96, 57], Operations: ['3*32=96', '16+41=57']
Exploring Operation: 96+57=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 96*57=5472, Resulting Numbers: [5472]
5472,79 unequal: No Solution
Exploring Operation: 96-57=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[41, 80], Operations: ['16*3=48', '32+48=80']
Exploring Operation: 80-41=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 41*80=3280, Resulting Numbers: [3280]
3280,79 unequal: No Solution
Exploring Operation: 41+80=121, Resulting Numbers: [121]
121,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[41, 80], Operations: ['3*32=96', '96-16=80']
Exploring Operation: 41+80=121, Resulting Numbers: [121]
121,79 unequal: No Solution
Exploring Operation: 80-41=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 41*80=3280, Resulting Numbers: [3280]
3280,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[32, 89], Operations: ['16*3=48', '41+48=89']
Exploring Operation: 32*89=2848, Resulting Numbers: [2848]
2848,79 unequal: No Solution
Exploring Operation: 89-32=57, Resulting Numbers: [57]
57,79 unequal: No Solution
Exploring Operation: 32+89=121, Resulting Numbers: [121]
121,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[96, 25], Operations: ['3*32=96', '41-16=25']
Exploring Operation: 96*25=2400, Resulting Numbers: [2400]
2400,79 unequal: No Solution
Exploring Operation: 96+25=121, Resulting Numbers: [121]
121,79 unequal: No Solution
Exploring Operation: 96-25=71, Resulting Numbers: [71]
71,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[41, 112], Operations: ['3*32=96', '16+96=112']
Exploring Operation: 41+112=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 41*112=4592, Resulting Numbers: [4592]
4592,79 unequal: No Solution
Exploring Operation: 112-41=71, Resulting Numbers: [71]
71,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[48, 9], Operations: ['16*3=48', '41-32=9']
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,79 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,79 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,79 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
2,
1,
71,
8
] | 18 | [
"8/2=4",
"1+71=72",
"72/4=18"
] | Current State: 18:[2, 1, 71, 8], Operations: []
Exploring Operation: 8/2=4, Resulting Numbers: [1, 71, 4]
Generated Node #2: [1, 71, 4] from Operation: 8/2=4
Current State: 18:[1, 71, 4], Operations: ['8/2=4']
Exploring Operation: 1+71=72, Resulting Numbers: [4, 72]
Generated Node #3: [4, 72] from Operation: 1+71=72
Current State: 18:[4, 72], Operations: ['8/2=4', '1+71=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[2, 1, 71, 8], Operations: []
Exploring Operation: 71-8=63, Resulting Numbers: [2, 1, 63]
Generated Node #0,0: 18:[2, 1, 63] Operation: 71-8=63
Exploring Operation: 71-2=69, Resulting Numbers: [1, 8, 69]
Generated Node #0,1: 18:[1, 8, 69] Operation: 71-2=69
Moving to Node #0,0
Current State: 18:[2, 1, 63], Operations: ['71-8=63']
Exploring Operation: 63-2=61, Resulting Numbers: [1, 61]
Generated Node #0,0,0: 18:[1, 61] Operation: 63-2=61
Exploring Operation: 63-1=62, Resulting Numbers: [2, 62]
Generated Node #0,0,1: 18:[2, 62] Operation: 63-1=62
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[1, 61], Operations: ['71-8=63', '63-2=61']
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,18 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,18 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:[2, 62], Operations: ['71-8=63', '63-1=62']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,18 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:[1, 8, 69], Operations: ['71-2=69']
Exploring Operation: 1+8=9, Resulting Numbers: [69, 9]
Generated Node #0,1,0: 18:[69, 9] Operation: 1+8=9
Exploring Operation: 69-8=61, Resulting Numbers: [1, 61]
Generated Node #0,1,1: 18:[1, 61] Operation: 69-8=61
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[1, 61], Operations: ['71-2=69', '69-8=61']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,18 unequal: No Solution
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,18 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, 9], Operations: ['71-2=69', '1+8=9']
Exploring Operation: 69-9=60, Resulting Numbers: [60]
60,18 unequal: No Solution
Exploring Operation: 69+9=78, Resulting Numbers: [78]
78,18 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 |
[
45,
3,
5,
43
] | 41 | [
"5-3=2",
"43*2=86",
"86-45=41"
] | Current State: 41:[45, 3, 5, 43], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [45, 43, 2]
Generated Node #2: [45, 43, 2] from Operation: 5-3=2
Current State: 41:[45, 43, 2], Operations: ['5-3=2']
Exploring Operation: 43*2=86, Resulting Numbers: [45, 86]
Generated Node #3: [45, 86] from Operation: 43*2=86
Current State: 41:[45, 86], Operations: ['5-3=2', '43*2=86']
Exploring Operation: 86-45=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[45, 3, 5, 43], Operations: []
Exploring Operation: 3*5=15, Resulting Numbers: [45, 43, 15]
Generated Node #0,0: 41:[45, 43, 15] Operation: 3*5=15
Moving to Node #0,0
Current State: 41:[45, 43, 15], Operations: ['3*5=15']
Exploring Operation: 45-15=30, Resulting Numbers: [43, 30]
Generated Node #0,0,0: 41:[43, 30] Operation: 45-15=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[43, 30], Operations: ['3*5=15', '45-15=30']
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
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