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 |
|---|---|---|---|---|---|---|---|---|
[
3,
99,
94,
13
] | 62 | [
"99-94=5",
"13*5=65",
"65-3=62"
] | Current State: 62:[3, 99, 94, 13], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [3, 13, 5]
Generated Node #2: [3, 13, 5] from Operation: 99-94=5
Current State: 62:[3, 13, 5], Operations: ['99-94=5']
Exploring Operation: 13*5=65, Resulting Numbers: [3, 65]
Generated Node #3: [3, 65] from Operation: 13*5=65
Current State: 62:[3, 65], Operations: ['99-94=5', '13*5=65']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[3, 99, 94, 13], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [94, 13, 33]
Generated Node #0,0: 62:[94, 13, 33] Operation: 99/3=33
Exploring Operation: 99-94=5, Resulting Numbers: [3, 13, 5]
Generated Node #0,1: 62:[3, 13, 5] Operation: 99-94=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[3, 13, 5], Operations: ['99-94=5']
Exploring Operation: 13-5=8, Resulting Numbers: [3, 8]
Generated Node #0,1,0: 62:[3, 8] Operation: 13-5=8
Exploring Operation: 13*5=65, Resulting Numbers: [3, 65]
Generated Node #0,1,1: 62:[3, 65] Operation: 13*5=65
Moving to Node #0,1,1
Current State: 62:[3, 65], Operations: ['99-94=5', '13*5=65']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[3, 99, 94, 13], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [3, 13, 5]
Generated Node #0,1: 62:[3, 13, 5] Operation: 99-94=5
Moving to Node #0,1
Current State: 62:[3, 13, 5], Operations: ['99-94=5']
Exploring Operation: 13*5=65, Resulting Numbers: [3, 65]
Generated Node #0,1,1: 62:[3, 65] Operation: 13*5=65
Moving to Node #0,1,1
Current State: 62:[3, 65], Operations: ['99-94=5', '13*5=65']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
15,
39,
85,
55
] | 84 | [
"15+39=54",
"85-55=30",
"54+30=84"
] | Current State: 84:[15, 39, 85, 55], Operations: []
Exploring Operation: 15+39=54, Resulting Numbers: [85, 55, 54]
Generated Node #2: [85, 55, 54] from Operation: 15+39=54
Current State: 84:[85, 55, 54], Operations: ['15+39=54']
Exploring Operation: 85-55=30, Resulting Numbers: [54, 30]
Generated Node #3: [54, 30] from Operation: 85-55=30
Current State: 84:[54, 30], Operations: ['15+39=54', '85-55=30']
Exploring Operation: 54+30=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[15, 39, 85, 55], Operations: []
Exploring Operation: 55-39=16, Resulting Numbers: [15, 85, 16]
Generated Node #0,0: 84:[15, 85, 16] Operation: 55-39=16
Exploring Operation: 55-15=40, Resulting Numbers: [39, 85, 40]
Generated Node #0,1: 84:[39, 85, 40] Operation: 55-15=40
Exploring Operation: 85-55=30, Resulting Numbers: [15, 39, 30]
Generated Node #0,2: 84:[15, 39, 30] Operation: 85-55=30
Exploring Operation: 39+55=94, Resulting Numbers: [15, 85, 94]
Generated Node #0,3: 84:[15, 85, 94] Operation: 39+55=94
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[15, 85, 16], Operations: ['55-39=16']
Exploring Operation: 16-15=1, Resulting Numbers: [85, 1]
Generated Node #0,0,0: 84:[85, 1] Operation: 16-15=1
Exploring Operation: 85-16=69, Resulting Numbers: [15, 69]
Generated Node #0,0,1: 84:[15, 69] Operation: 85-16=69
Exploring Operation: 85-15=70, Resulting Numbers: [16, 70]
Generated Node #0,0,2: 84:[16, 70] Operation: 85-15=70
Exploring Operation: 15+16=31, Resulting Numbers: [85, 31]
Generated Node #0,0,3: 84:[85, 31] Operation: 15+16=31
Moving to Node #0,0,0
Current State: 84:[85, 1], Operations: ['55-39=16', '16-15=1']
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,84 unequal: No Solution
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,84 unequal: No Solution
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,84 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[15, 39, 85, 55], Operations: []
Exploring Operation: 55-39=16, Resulting Numbers: [15, 85, 16]
Generated Node #0,0: 84:[15, 85, 16] Operation: 55-39=16
Moving to Node #0,0
Current State: 84:[15, 85, 16], Operations: ['55-39=16']
Exploring Operation: 16-15=1, Resulting Numbers: [85, 1]
Generated Node #0,0,0: 84:[85, 1] Operation: 16-15=1
Moving to Node #0,0,0
Current State: 84:[85, 1], Operations: ['55-39=16', '16-15=1']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
87,
72,
53,
73
] | 70 | [
"87+72=159",
"159/53=3",
"73-3=70"
] | Current State: 70:[87, 72, 53, 73], Operations: []
Exploring Operation: 87+72=159, Resulting Numbers: [53, 73, 159]
Generated Node #2: [53, 73, 159] from Operation: 87+72=159
Current State: 70:[53, 73, 159], Operations: ['87+72=159']
Exploring Operation: 159/53=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 159/53=3
Current State: 70:[73, 3], Operations: ['87+72=159', '159/53=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[87, 72, 53, 73], Operations: []
Exploring Operation: 87-72=15, Resulting Numbers: [53, 73, 15]
Generated Node #0,0: 70:[53, 73, 15] Operation: 87-72=15
Exploring Operation: 87-53=34, Resulting Numbers: [72, 73, 34]
Generated Node #0,1: 70:[72, 73, 34] Operation: 87-53=34
Exploring Operation: 87-73=14, Resulting Numbers: [72, 53, 14]
Generated Node #0,2: 70:[72, 53, 14] Operation: 87-73=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[72, 73, 34], Operations: ['87-53=34']
Exploring Operation: 72-34=38, Resulting Numbers: [73, 38]
Generated Node #0,1,0: 70:[73, 38] Operation: 72-34=38
Exploring Operation: 73-34=39, Resulting Numbers: [72, 39]
Generated Node #0,1,1: 70:[72, 39] Operation: 73-34=39
Exploring Operation: 73-72=1, Resulting Numbers: [34, 1]
Generated Node #0,1,2: 70:[34, 1] Operation: 73-72=1
Moving to Node #0,1,2
Current State: 70:[34, 1], Operations: ['87-53=34', '73-72=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[73, 38], Operations: ['87-53=34', '72-34=38']
Exploring Operation: 73*38=2774, Resulting Numbers: [2774]
2774,70 unequal: No Solution
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 73+38=111, Resulting Numbers: [111]
111,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[72, 39], Operations: ['87-53=34', '73-34=39']
Exploring Operation: 72+39=111, Resulting Numbers: [111]
111,70 unequal: No Solution
Exploring Operation: 72*39=2808, Resulting Numbers: [2808]
2808,70 unequal: No Solution
Exploring Operation: 72-39=33, Resulting Numbers: [33]
33,70 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 #0,2
Current State: 70:[72, 53, 14], Operations: ['87-73=14']
Exploring Operation: 53+14=67, Resulting Numbers: [72, 67]
Generated Node #0,2,0: 70:[72, 67] Operation: 53+14=67
Exploring Operation: 53-14=39, Resulting Numbers: [72, 39]
Generated Node #0,2,1: 70:[72, 39] Operation: 53-14=39
Exploring Operation: 72-53=19, Resulting Numbers: [14, 19]
Generated Node #0,2,2: 70:[14, 19] Operation: 72-53=19
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 70:[72, 67], Operations: ['87-73=14', '53+14=67']
Exploring Operation: 72-67=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 72*67=4824, Resulting Numbers: [4824]
4824,70 unequal: No Solution
Exploring Operation: 72+67=139, Resulting Numbers: [139]
139,70 unequal: No Solution
No 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: 70:[14, 19], Operations: ['87-73=14', '72-53=19']
Exploring Operation: 14+19=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 14*19=266, Resulting Numbers: [266]
266,70 unequal: No Solution
No 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: 70:[72, 39], Operations: ['87-73=14', '53-14=39']
Exploring Operation: 72-39=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Exploring Operation: 72+39=111, Resulting Numbers: [111]
111,70 unequal: No Solution
Exploring Operation: 72*39=2808, Resulting Numbers: [2808]
2808,70 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[53, 73, 15], Operations: ['87-72=15']
Exploring Operation: 73-53=20, Resulting Numbers: [15, 20]
Generated Node #0,0,0: 70:[15, 20] Operation: 73-53=20
Exploring Operation: 53+15=68, Resulting Numbers: [73, 68]
Generated Node #0,0,1: 70:[73, 68] Operation: 53+15=68
Exploring Operation: 53-15=38, Resulting Numbers: [73, 38]
Generated Node #0,0,2: 70:[73, 38] Operation: 53-15=38
Moving to Node #0,0,1
Current State: 70:[73, 68], Operations: ['87-72=15', '53+15=68']
Exploring Operation: 73-68=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 73*68=4964, Resulting Numbers: [4964]
4964,70 unequal: No Solution
Exploring Operation: 73+68=141, Resulting Numbers: [141]
141,70 unequal: No Solution
Moving to Node #0,0,2
Current State: 70:[73, 38], Operations: ['87-72=15', '53-15=38']
Exploring Operation: 73+38=111, Resulting Numbers: [111]
111,70 unequal: No Solution
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 73*38=2774, Resulting Numbers: [2774]
2774,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[15, 20], Operations: ['87-72=15', '73-53=20']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,70 unequal: No Solution
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,70 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 |
[
77,
62,
99,
14
] | 80 | [
"99*14=1386",
"1386/77=18",
"62+18=80"
] | Current State: 80:[77, 62, 99, 14], Operations: []
Exploring Operation: 99*14=1386, Resulting Numbers: [77, 62, 1386]
Generated Node #2: [77, 62, 1386] from Operation: 99*14=1386
Current State: 80:[77, 62, 1386], Operations: ['99*14=1386']
Exploring Operation: 1386/77=18, Resulting Numbers: [62, 18]
Generated Node #3: [62, 18] from Operation: 1386/77=18
Current State: 80:[62, 18], Operations: ['99*14=1386', '1386/77=18']
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[77, 62, 99, 14], Operations: []
Exploring Operation: 99-77=22, Resulting Numbers: [62, 14, 22]
Generated Node #0,0: 80:[62, 14, 22] Operation: 99-77=22
Exploring Operation: 99-62=37, Resulting Numbers: [77, 14, 37]
Generated Node #0,1: 80:[77, 14, 37] Operation: 99-62=37
Exploring Operation: 77-62=15, Resulting Numbers: [99, 14, 15]
Generated Node #0,2: 80:[99, 14, 15] Operation: 77-62=15
Exploring Operation: 62+14=76, Resulting Numbers: [77, 99, 76]
Generated Node #0,3: 80:[77, 99, 76] Operation: 62+14=76
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[77, 14, 37], Operations: ['99-62=37']
Exploring Operation: 77+14=91, Resulting Numbers: [37, 91]
Generated Node #0,1,0: 80:[37, 91] Operation: 77+14=91
Exploring Operation: 37-14=23, Resulting Numbers: [77, 23]
Generated Node #0,1,1: 80:[77, 23] Operation: 37-14=23
Exploring Operation: 77-37=40, Resulting Numbers: [14, 40]
Generated Node #0,1,2: 80:[14, 40] Operation: 77-37=40
Exploring Operation: 14+37=51, Resulting Numbers: [77, 51]
Generated Node #0,1,3: 80:[77, 51] Operation: 14+37=51
Moving to Node #0,1,2
Current State: 80:[14, 40], Operations: ['99-62=37', '77-37=40']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 14*40=560, Resulting Numbers: [560]
560,80 unequal: No Solution
Exploring Operation: 14+40=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[77, 23], Operations: ['99-62=37', '37-14=23']
Exploring Operation: 77-23=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 77+23=100, Resulting Numbers: [100]
100,80 unequal: No Solution
Exploring Operation: 77*23=1771, Resulting Numbers: [1771]
1771,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[77, 51], Operations: ['99-62=37', '14+37=51']
Exploring Operation: 77-51=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 77*51=3927, Resulting Numbers: [3927]
3927,80 unequal: No Solution
Exploring Operation: 77+51=128, Resulting Numbers: [128]
128,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[37, 91], Operations: ['99-62=37', '77+14=91']
Exploring Operation: 37*91=3367, Resulting Numbers: [3367]
3367,80 unequal: No Solution
Exploring Operation: 37+91=128, Resulting Numbers: [128]
128,80 unequal: No Solution
Exploring Operation: 91-37=54, Resulting Numbers: [54]
54,80 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 #0,0
Current State: 80:[62, 14, 22], Operations: ['99-77=22']
Exploring Operation: 62-14=48, Resulting Numbers: [22, 48]
Generated Node #0,0,0: 80:[22, 48] Operation: 62-14=48
Exploring Operation: 62+22=84, Resulting Numbers: [14, 84]
Generated Node #0,0,1: 80:[14, 84] Operation: 62+22=84
Exploring Operation: 62+14=76, Resulting Numbers: [22, 76]
Generated Node #0,0,2: 80:[22, 76] Operation: 62+14=76
Exploring Operation: 62-22=40, Resulting Numbers: [14, 40]
Generated Node #0,0,3: 80:[14, 40] Operation: 62-22=40
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 80:[14, 40], Operations: ['99-77=22', '62-22=40']
Exploring Operation: 14*40=560, Resulting Numbers: [560]
560,80 unequal: No Solution
Exploring Operation: 14+40=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 80:[14, 84], Operations: ['99-77=22', '62+22=84']
Exploring Operation: 84/14=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Exploring Operation: 14*84=1176, Resulting Numbers: [1176]
1176,80 unequal: No Solution
Exploring Operation: 14+84=98, Resulting Numbers: [98]
98,80 unequal: No Solution
Exploring Operation: 84-14=70, Resulting Numbers: [70]
70,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 80:[22, 76], Operations: ['99-77=22', '62+14=76']
Exploring Operation: 76-22=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 22*76=1672, Resulting Numbers: [1672]
1672,80 unequal: No Solution
Exploring Operation: 22+76=98, Resulting Numbers: [98]
98,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 80:[22, 48], Operations: ['99-77=22', '62-14=48']
Exploring Operation: 22*48=1056, Resulting Numbers: [1056]
1056,80 unequal: No Solution
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 22+48=70, Resulting Numbers: [70]
70,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[99, 14, 15], Operations: ['77-62=15']
Exploring Operation: 99-15=84, Resulting Numbers: [14, 84]
Generated Node #0,2,0: 80:[14, 84] Operation: 99-15=84
Exploring Operation: 14+15=29, Resulting Numbers: [99, 29]
Generated Node #0,2,1: 80:[99, 29] Operation: 14+15=29
Exploring Operation: 99-14=85, Resulting Numbers: [15, 85]
Generated Node #0,2,2: 80:[15, 85] Operation: 99-14=85
Exploring Operation: 15-14=1, Resulting Numbers: [99, 1]
Generated Node #0,2,3: 80:[99, 1] Operation: 15-14=1
Moving to Node #0,2,0
Current State: 80:[14, 84], Operations: ['77-62=15', '99-15=84']
Exploring Operation: 84/14=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Exploring Operation: 84-14=70, Resulting Numbers: [70]
70,80 unequal: No Solution
Exploring Operation: 14+84=98, Resulting Numbers: [98]
98,80 unequal: No Solution
Exploring Operation: 14*84=1176, Resulting Numbers: [1176]
1176,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[15, 85], Operations: ['77-62=15', '99-14=85']
Exploring Operation: 15+85=100, Resulting Numbers: [100]
100,80 unequal: No Solution
Exploring Operation: 85-15=70, Resulting Numbers: [70]
70,80 unequal: No Solution
Exploring Operation: 15*85=1275, Resulting Numbers: [1275]
1275,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[99, 1], Operations: ['77-62=15', '15-14=1']
Exploring Operation: 99/1=99, Resulting Numbers: [99]
99,80 unequal: No Solution
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,80 unequal: No Solution
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,80 unequal: No Solution
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[99, 29], Operations: ['77-62=15', '14+15=29']
Exploring Operation: 99-29=70, Resulting Numbers: [70]
70,80 unequal: No Solution
Exploring Operation: 99*29=2871, Resulting Numbers: [2871]
2871,80 unequal: No Solution
Exploring Operation: 99+29=128, Resulting Numbers: [128]
128,80 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 #0,3
Current State: 80:[77, 99, 76], Operations: ['62+14=76']
Exploring Operation: 77-76=1, Resulting Numbers: [99, 1]
Generated Node #0,3,0: 80:[99, 1] Operation: 77-76=1
Exploring Operation: 77+76=153, Resulting Numbers: [99, 153]
Generated Node #0,3,1: 80:[99, 153] Operation: 77+76=153
Exploring Operation: 99-76=23, Resulting Numbers: [77, 23]
Generated Node #0,3,2: 80:[77, 23] Operation: 99-76=23
Exploring Operation: 99-77=22, Resulting Numbers: [76, 22]
Generated Node #0,3,3: 80:[76, 22] Operation: 99-77=22
Moving to Node #0,3,2
Current State: 80:[77, 23], Operations: ['62+14=76', '99-76=23']
Exploring Operation: 77*23=1771, Resulting Numbers: [1771]
1771,80 unequal: No Solution
Exploring Operation: 77+23=100, Resulting Numbers: [100]
100,80 unequal: No Solution
Exploring Operation: 77-23=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[76, 22], Operations: ['62+14=76', '99-77=22']
Exploring Operation: 76*22=1672, Resulting Numbers: [1672]
1672,80 unequal: No Solution
Exploring Operation: 76+22=98, Resulting Numbers: [98]
98,80 unequal: No Solution
Exploring Operation: 76-22=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[99, 1], Operations: ['62+14=76', '77-76=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,80 unequal: No Solution
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,80 unequal: No Solution
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,80 unequal: No Solution
Exploring Operation: 99/1=99, Resulting Numbers: [99]
99,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[99, 153], Operations: ['62+14=76', '77+76=153']
Exploring Operation: 153-99=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 99*153=15147, Resulting Numbers: [15147]
15147,80 unequal: No Solution
Exploring Operation: 99+153=252, Resulting Numbers: [252]
252,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
67,
74,
25,
98
] | 39 | [
"74-67=7",
"98/7=14",
"25+14=39"
] | Current State: 39:[67, 74, 25, 98], Operations: []
Exploring Operation: 74-67=7, Resulting Numbers: [25, 98, 7]
Generated Node #2: [25, 98, 7] from Operation: 74-67=7
Current State: 39:[25, 98, 7], Operations: ['74-67=7']
Exploring Operation: 98/7=14, Resulting Numbers: [25, 14]
Generated Node #3: [25, 14] from Operation: 98/7=14
Current State: 39:[25, 14], Operations: ['74-67=7', '98/7=14']
Exploring Operation: 25+14=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[67, 74, 25, 98], Operations: []
Exploring Operation: 98-74=24, Resulting Numbers: [67, 25, 24]
Generated Node #0,0: 39:[67, 25, 24] Operation: 98-74=24
Exploring Operation: 98-67=31, Resulting Numbers: [74, 25, 31]
Generated Node #0,1: 39:[74, 25, 31] Operation: 98-67=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[67, 25, 24], Operations: ['98-74=24']
Exploring Operation: 67-25=42, Resulting Numbers: [24, 42]
Generated Node #0,0,0: 39:[24, 42] Operation: 67-25=42
Exploring Operation: 67-24=43, Resulting Numbers: [25, 43]
Generated Node #0,0,1: 39:[25, 43] Operation: 67-24=43
Moving to Node #0,0,0
Current State: 39:[24, 42], Operations: ['98-74=24', '67-25=42']
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,39 unequal: No Solution
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[25, 43], Operations: ['98-74=24', '67-24=43']
Exploring Operation: 43-25=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Exploring Operation: 25+43=68, Resulting Numbers: [68]
68,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[74, 25, 31], Operations: ['98-67=31']
Exploring Operation: 74-31=43, Resulting Numbers: [25, 43]
Generated Node #0,1,0: 39:[25, 43] Operation: 74-31=43
Exploring Operation: 74-25=49, Resulting Numbers: [31, 49]
Generated Node #0,1,1: 39:[31, 49] Operation: 74-25=49
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[25, 43], Operations: ['98-67=31', '74-31=43']
Exploring Operation: 25+43=68, Resulting Numbers: [68]
68,39 unequal: No Solution
Exploring Operation: 43-25=18, Resulting Numbers: [18]
18,39 unequal: No Solution
No 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: 39:[31, 49], Operations: ['98-67=31', '74-25=49']
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Exploring Operation: 31+49=80, Resulting Numbers: [80]
80,39 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 |
[
34,
80,
44,
65
] | 25 | [
"80-34=46",
"65-44=21",
"46-21=25"
] | Current State: 25:[34, 80, 44, 65], Operations: []
Exploring Operation: 80-34=46, Resulting Numbers: [44, 65, 46]
Generated Node #2: [44, 65, 46] from Operation: 80-34=46
Current State: 25:[44, 65, 46], Operations: ['80-34=46']
Exploring Operation: 65-44=21, Resulting Numbers: [46, 21]
Generated Node #3: [46, 21] from Operation: 65-44=21
Current State: 25:[46, 21], Operations: ['80-34=46', '65-44=21']
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[34, 80, 44, 65], Operations: []
Exploring Operation: 80-65=15, Resulting Numbers: [34, 44, 15]
Generated Node #0,0: 25:[34, 44, 15] Operation: 80-65=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[34, 44, 15], Operations: ['80-65=15']
Exploring Operation: 44-15=29, Resulting Numbers: [34, 29]
Generated Node #0,0,0: 25:[34, 29] Operation: 44-15=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[34, 29], Operations: ['80-65=15', '44-15=29']
Exploring Operation: 34-29=5, Resulting Numbers: [5]
5,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
14,
6,
7,
46
] | 88 | [
"14-7=7",
"6*7=42",
"46+42=88"
] | Current State: 88:[14, 6, 7, 46], Operations: []
Exploring Operation: 14-7=7, Resulting Numbers: [6, 46, 7]
Generated Node #2: [6, 46, 7] from Operation: 14-7=7
Current State: 88:[6, 46, 7], Operations: ['14-7=7']
Exploring Operation: 6*7=42, Resulting Numbers: [46, 42]
Generated Node #3: [46, 42] from Operation: 6*7=42
Current State: 88:[46, 42], Operations: ['14-7=7', '6*7=42']
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[14, 6, 7, 46], Operations: []
Exploring Operation: 14-6=8, Resulting Numbers: [7, 46, 8]
Generated Node #0,0: 88:[7, 46, 8] Operation: 14-6=8
Exploring Operation: 14/7=2, Resulting Numbers: [6, 46, 2]
Generated Node #0,1: 88:[6, 46, 2] Operation: 14/7=2
Exploring Operation: 14+6=20, Resulting Numbers: [7, 46, 20]
Generated Node #0,2: 88:[7, 46, 20] Operation: 14+6=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[7, 46, 8], Operations: ['14-6=8']
Exploring Operation: 8-7=1, Resulting Numbers: [46, 1]
Generated Node #0,0,0: 88:[46, 1] Operation: 8-7=1
Exploring Operation: 7+8=15, Resulting Numbers: [46, 15]
Generated Node #0,0,1: 88:[46, 15] Operation: 7+8=15
Exploring Operation: 46-7=39, Resulting Numbers: [8, 39]
Generated Node #0,0,2: 88:[8, 39] Operation: 46-7=39
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[46, 1], Operations: ['14-6=8', '8-7=1']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,88 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,88 unequal: No Solution
No 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: 88:[8, 39], Operations: ['14-6=8', '46-7=39']
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,88 unequal: No Solution
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,88 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,88 unequal: No Solution
No 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: 88:[46, 15], Operations: ['14-6=8', '7+8=15']
Exploring Operation: 46+15=61, Resulting Numbers: [61]
61,88 unequal: No Solution
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 46*15=690, Resulting Numbers: [690]
690,88 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[6, 46, 2], Operations: ['14/7=2']
Exploring Operation: 6+2=8, Resulting Numbers: [46, 8]
Generated Node #0,1,0: 88:[46, 8] Operation: 6+2=8
Exploring Operation: 6-2=4, Resulting Numbers: [46, 4]
Generated Node #0,1,1: 88:[46, 4] Operation: 6-2=4
Exploring Operation: 46-2=44, Resulting Numbers: [6, 44]
Generated Node #0,1,2: 88:[6, 44] Operation: 46-2=44
Moving to Node #0,1,0
Current State: 88:[46, 8], Operations: ['14/7=2', '6+2=8']
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,88 unequal: No Solution
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,88 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[46, 4], Operations: ['14/7=2', '6-2=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,88 unequal: No Solution
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,88 unequal: No Solution
Moving to Node #0,1,2
Current State: 88:[6, 44], Operations: ['14/7=2', '46-2=44']
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,88 unequal: No Solution
Exploring Operation: 6*44=264, Resulting Numbers: [264]
264,88 unequal: No Solution
No 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: 88:[7, 46, 20], Operations: ['14+6=20']
Exploring Operation: 46-20=26, Resulting Numbers: [7, 26]
Generated Node #0,2,0: 88:[7, 26] Operation: 46-20=26
Exploring Operation: 46-7=39, Resulting Numbers: [20, 39]
Generated Node #0,2,1: 88:[20, 39] Operation: 46-7=39
Exploring Operation: 20-7=13, Resulting Numbers: [46, 13]
Generated Node #0,2,2: 88:[46, 13] Operation: 20-7=13
Moving to Node #0,2,2
Current State: 88:[46, 13], Operations: ['14+6=20', '20-7=13']
Exploring Operation: 46*13=598, Resulting Numbers: [598]
598,88 unequal: No Solution
Exploring Operation: 46+13=59, Resulting Numbers: [59]
59,88 unequal: No Solution
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,88 unequal: No Solution
Moving to Node #0,2,0
Current State: 88:[7, 26], Operations: ['14+6=20', '46-20=26']
Exploring Operation: 7*26=182, Resulting Numbers: [182]
182,88 unequal: No Solution
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,88 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Moving to Node #0,2,1
Current State: 88:[20, 39], Operations: ['14+6=20', '46-7=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 20*39=780, Resulting Numbers: [780]
780,88 unequal: No Solution
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,88 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 |
[
26,
19,
48,
3
] | 99 | [
"26+19=45",
"48*3=144",
"144-45=99"
] | Current State: 99:[26, 19, 48, 3], Operations: []
Exploring Operation: 26+19=45, Resulting Numbers: [48, 3, 45]
Generated Node #2: [48, 3, 45] from Operation: 26+19=45
Current State: 99:[48, 3, 45], Operations: ['26+19=45']
Exploring Operation: 48*3=144, Resulting Numbers: [45, 144]
Generated Node #3: [45, 144] from Operation: 48*3=144
Current State: 99:[45, 144], Operations: ['26+19=45', '48*3=144']
Exploring Operation: 144-45=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[26, 19, 48, 3], Operations: []
Exploring Operation: 48-19=29, Resulting Numbers: [26, 3, 29]
Generated Node #0,0: 99:[26, 3, 29] Operation: 48-19=29
Exploring Operation: 48-26=22, Resulting Numbers: [19, 3, 22]
Generated Node #0,1: 99:[19, 3, 22] Operation: 48-26=22
Exploring Operation: 48/3=16, Resulting Numbers: [26, 19, 16]
Generated Node #0,2: 99:[26, 19, 16] Operation: 48/3=16
Exploring Operation: 26-19=7, Resulting Numbers: [48, 3, 7]
Generated Node #0,3: 99:[48, 3, 7] Operation: 26-19=7
Moving to Node #0,0
Current State: 99:[26, 3, 29], Operations: ['48-19=29']
Exploring Operation: 26-3=23, Resulting Numbers: [29, 23]
Generated Node #0,0,0: 99:[29, 23] Operation: 26-3=23
Exploring Operation: 3+29=32, Resulting Numbers: [26, 32]
Generated Node #0,0,1: 99:[26, 32] Operation: 3+29=32
Exploring Operation: 26+3=29, Resulting Numbers: [29, 29]
Generated Node #0,0,2: 99:[29, 29] Operation: 26+3=29
Exploring Operation: 29-26=3, Resulting Numbers: [3, 3]
Generated Node #0,0,3: 99:[3, 3] Operation: 29-26=3
Moving to Node #0,3
Current State: 99:[48, 3, 7], Operations: ['26-19=7']
Exploring Operation: 48/3=16, Resulting Numbers: [7, 16]
Generated Node #0,3,0: 99:[7, 16] Operation: 48/3=16
Exploring Operation: 48-3=45, Resulting Numbers: [7, 45]
Generated Node #0,3,1: 99:[7, 45] Operation: 48-3=45
Exploring Operation: 3+7=10, Resulting Numbers: [48, 10]
Generated Node #0,3,2: 99:[48, 10] Operation: 3+7=10
Exploring Operation: 48-7=41, Resulting Numbers: [3, 41]
Generated Node #0,3,3: 99:[3, 41] Operation: 48-7=41
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 99:[7, 16], Operations: ['26-19=7', '48/3=16']
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,99 unequal: No Solution
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,99 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 99:[3, 41], Operations: ['26-19=7', '48-7=41']
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,99 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 99:[7, 45], Operations: ['26-19=7', '48-3=45']
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,99 unequal: No Solution
Exploring Operation: 7+45=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 7*45=315, Resulting Numbers: [315]
315,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 99:[48, 10], Operations: ['26-19=7', '3+7=10']
Exploring Operation: 48*10=480, Resulting Numbers: [480]
480,99 unequal: No Solution
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,99 unequal: No Solution
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,99 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: 99:[19, 3, 22], Operations: ['48-26=22']
Exploring Operation: 22-19=3, Resulting Numbers: [3, 3]
Generated Node #0,1,0: 99:[3, 3] Operation: 22-19=3
Exploring Operation: 3+22=25, Resulting Numbers: [19, 25]
Generated Node #0,1,1: 99:[19, 25] Operation: 3+22=25
Exploring Operation: 19+22=41, Resulting Numbers: [3, 41]
Generated Node #0,1,2: 99:[3, 41] Operation: 19+22=41
Exploring Operation: 19-3=16, Resulting Numbers: [22, 16]
Generated Node #0,1,3: 99:[22, 16] Operation: 19-3=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[3, 3], Operations: ['48-26=22', '22-19=3']
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 99:[3, 41], Operations: ['48-26=22', '19+22=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,99 unequal: No Solution
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,99 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[19, 25], Operations: ['48-26=22', '3+22=25']
Exploring Operation: 19*25=475, Resulting Numbers: [475]
475,99 unequal: No Solution
Exploring Operation: 19+25=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 99:[22, 16], Operations: ['48-26=22', '19-3=16']
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,99 unequal: No Solution
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,99 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,99 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: 99:[26, 19, 16], Operations: ['48/3=16']
Exploring Operation: 19-16=3, Resulting Numbers: [26, 3]
Generated Node #0,2,0: 99:[26, 3] Operation: 19-16=3
Exploring Operation: 19+16=35, Resulting Numbers: [26, 35]
Generated Node #0,2,1: 99:[26, 35] Operation: 19+16=35
Exploring Operation: 26-19=7, Resulting Numbers: [16, 7]
Generated Node #0,2,2: 99:[16, 7] Operation: 26-19=7
Exploring Operation: 26-16=10, Resulting Numbers: [19, 10]
Generated Node #0,2,3: 99:[19, 10] Operation: 26-16=10
Moving to Node #0,0,3
Current State: 99:[3, 3], Operations: ['48-19=29', '29-26=3']
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[16, 7], Operations: ['48/3=16', '26-19=7']
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,99 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,99 unequal: No Solution
Moving to Node #0,2,0
Current State: 99:[26, 3], Operations: ['48/3=16', '19-16=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,99 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[29, 29], Operations: ['48-19=29', '26+3=29']
Exploring Operation: 29+29=58, Resulting Numbers: [58]
58,99 unequal: No Solution
Exploring Operation: 29/29=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 29*29=841, Resulting Numbers: [841]
841,99 unequal: No Solution
Exploring Operation: 29-29=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[26, 32], Operations: ['48-19=29', '3+29=32']
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,99 unequal: No Solution
Exploring Operation: 26*32=832, Resulting Numbers: [832]
832,99 unequal: No Solution
Moving to Node #0,2,3
Current State: 99:[19, 10], Operations: ['48/3=16', '26-16=10']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,99 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Moving to Node #0,2,1
Current State: 99:[26, 35], Operations: ['48/3=16', '19+16=35']
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,99 unequal: No Solution
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 26*35=910, Resulting Numbers: [910]
910,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[29, 23], Operations: ['48-19=29', '26-3=23']
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 29*23=667, Resulting Numbers: [667]
667,99 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
16,
30,
42,
86
] | 90 | [
"16+30=46",
"86-42=44",
"46+44=90"
] | Current State: 90:[16, 30, 42, 86], Operations: []
Exploring Operation: 16+30=46, Resulting Numbers: [42, 86, 46]
Generated Node #2: [42, 86, 46] from Operation: 16+30=46
Current State: 90:[42, 86, 46], Operations: ['16+30=46']
Exploring Operation: 86-42=44, Resulting Numbers: [46, 44]
Generated Node #3: [46, 44] from Operation: 86-42=44
Current State: 90:[46, 44], Operations: ['16+30=46', '86-42=44']
Exploring Operation: 46+44=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[16, 30, 42, 86], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [16, 30, 44]
Generated Node #0,0: 90:[16, 30, 44] Operation: 86-42=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[16, 30, 44], Operations: ['86-42=44']
Exploring Operation: 16+30=46, Resulting Numbers: [44, 46]
Generated Node #0,0,0: 90:[44, 46] Operation: 16+30=46
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[44, 46], Operations: ['86-42=44', '16+30=46']
Exploring Operation: 44+46=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[16, 30, 42, 86], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [16, 30, 44]
Generated Node #0,0: 90:[16, 30, 44] Operation: 86-42=44
Moving to Node #0,0
Current State: 90:[16, 30, 44], Operations: ['86-42=44']
Exploring Operation: 16+30=46, Resulting Numbers: [44, 46]
Generated Node #0,0,0: 90:[44, 46] Operation: 16+30=46
Moving to Node #0,0,0
Current State: 90:[44, 46], Operations: ['86-42=44', '16+30=46']
Exploring Operation: 44+46=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 |
[
28,
45,
33,
33
] | 72 | [
"28+45=73",
"33/33=1",
"73-1=72"
] | Current State: 72:[28, 45, 33, 33], Operations: []
Exploring Operation: 28+45=73, Resulting Numbers: [33, 33, 73]
Generated Node #2: [33, 33, 73] from Operation: 28+45=73
Current State: 72:[33, 33, 73], Operations: ['28+45=73']
Exploring Operation: 33/33=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 33/33=1
Current State: 72:[73, 1], Operations: ['28+45=73', '33/33=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[28, 45, 33, 33], Operations: []
Exploring Operation: 45-28=17, Resulting Numbers: [33, 33, 17]
Generated Node #0,0: 72:[33, 33, 17] Operation: 45-28=17
Exploring Operation: 28+45=73, Resulting Numbers: [33, 33, 73]
Generated Node #0,1: 72:[33, 33, 73] Operation: 28+45=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[33, 33, 17], Operations: ['45-28=17']
Exploring Operation: 33-33=0, Resulting Numbers: [17, 0]
Generated Node #0,0,0: 72:[17, 0] Operation: 33-33=0
Exploring Operation: 33/33=1, Resulting Numbers: [17, 1]
Generated Node #0,0,1: 72:[17, 1] Operation: 33/33=1
Moving to Node #0,0,1
Current State: 72:[17, 1], Operations: ['45-28=17', '33/33=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[17, 0], Operations: ['45-28=17', '33-33=0']
Exploring Operation: 17+0=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 17-0=17, Resulting Numbers: [17]
17,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[33, 33, 73], Operations: ['28+45=73']
Exploring Operation: 33-33=0, Resulting Numbers: [73, 0]
Generated Node #0,1,0: 72:[73, 0] Operation: 33-33=0
Exploring Operation: 33/33=1, Resulting Numbers: [73, 1]
Generated Node #0,1,1: 72:[73, 1] Operation: 33/33=1
Moving to Node #0,1,1
Current State: 72:[73, 1], Operations: ['28+45=73', '33/33=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[28, 45, 33, 33], Operations: []
Exploring Operation: 28+45=73, Resulting Numbers: [33, 33, 73]
Generated Node #0,1: 72:[33, 33, 73] Operation: 28+45=73
Moving to Node #0,1
Current State: 72:[33, 33, 73], Operations: ['28+45=73']
Exploring Operation: 33/33=1, Resulting Numbers: [73, 1]
Generated Node #0,1,1: 72:[73, 1] Operation: 33/33=1
Moving to Node #0,1,1
Current State: 72:[73, 1], Operations: ['28+45=73', '33/33=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
73,
26,
19,
24
] | 52 | [
"73-26=47",
"24-19=5",
"47+5=52"
] | Current State: 52:[73, 26, 19, 24], Operations: []
Exploring Operation: 73-26=47, Resulting Numbers: [19, 24, 47]
Generated Node #2: [19, 24, 47] from Operation: 73-26=47
Current State: 52:[19, 24, 47], Operations: ['73-26=47']
Exploring Operation: 24-19=5, Resulting Numbers: [47, 5]
Generated Node #3: [47, 5] from Operation: 24-19=5
Current State: 52:[47, 5], Operations: ['73-26=47', '24-19=5']
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[73, 26, 19, 24], Operations: []
Exploring Operation: 73-19=54, Resulting Numbers: [26, 24, 54]
Generated Node #0,0: 52:[26, 24, 54] Operation: 73-19=54
Exploring Operation: 73-26=47, Resulting Numbers: [19, 24, 47]
Generated Node #0,1: 52:[19, 24, 47] Operation: 73-26=47
Exploring Operation: 24-19=5, Resulting Numbers: [73, 26, 5]
Generated Node #0,2: 52:[73, 26, 5] Operation: 24-19=5
Exploring Operation: 73-24=49, Resulting Numbers: [26, 19, 49]
Generated Node #0,3: 52:[26, 19, 49] Operation: 73-24=49
Moving to Node #0,0
Current State: 52:[26, 24, 54], Operations: ['73-19=54']
Exploring Operation: 26-24=2, Resulting Numbers: [54, 2]
Generated Node #0,0,0: 52:[54, 2] Operation: 26-24=2
Exploring Operation: 54-24=30, Resulting Numbers: [26, 30]
Generated Node #0,0,1: 52:[26, 30] Operation: 54-24=30
Exploring Operation: 26+24=50, Resulting Numbers: [54, 50]
Generated Node #0,0,2: 52:[54, 50] Operation: 26+24=50
Exploring Operation: 54-26=28, Resulting Numbers: [24, 28]
Generated Node #0,0,3: 52:[24, 28] Operation: 54-26=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[54, 2], Operations: ['73-19=54', '26-24=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Exploring Operation: 54*2=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,52 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[73, 26, 19, 24], Operations: []
Exploring Operation: 73-19=54, Resulting Numbers: [26, 24, 54]
Generated Node #0,0: 52:[26, 24, 54] Operation: 73-19=54
Moving to Node #0,0
Current State: 52:[26, 24, 54], Operations: ['73-19=54']
Exploring Operation: 26-24=2, Resulting Numbers: [54, 2]
Generated Node #0,0,0: 52:[54, 2] Operation: 26-24=2
Moving to Node #0,0,0
Current State: 52:[54, 2], Operations: ['73-19=54', '26-24=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
1,
70,
12,
41
] | 98 | [
"70-1=69",
"41-12=29",
"69+29=98"
] | Current State: 98:[1, 70, 12, 41], Operations: []
Exploring Operation: 70-1=69, Resulting Numbers: [12, 41, 69]
Generated Node #2: [12, 41, 69] from Operation: 70-1=69
Current State: 98:[12, 41, 69], Operations: ['70-1=69']
Exploring Operation: 41-12=29, Resulting Numbers: [69, 29]
Generated Node #3: [69, 29] from Operation: 41-12=29
Current State: 98:[69, 29], Operations: ['70-1=69', '41-12=29']
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[1, 70, 12, 41], Operations: []
Exploring Operation: 70+41=111, Resulting Numbers: [1, 12, 111]
Generated Node #0,0: 98:[1, 12, 111] Operation: 70+41=111
Exploring Operation: 70-12=58, Resulting Numbers: [1, 41, 58]
Generated Node #0,1: 98:[1, 41, 58] Operation: 70-12=58
Moving to Node #0,0
Current State: 98:[1, 12, 111], Operations: ['70+41=111']
Exploring Operation: 111-12=99, Resulting Numbers: [1, 99]
Generated Node #0,0,0: 98:[1, 99] Operation: 111-12=99
Exploring Operation: 1+12=13, Resulting Numbers: [111, 13]
Generated Node #0,0,1: 98:[111, 13] Operation: 1+12=13
Moving to Node #0,1
Current State: 98:[1, 41, 58], Operations: ['70-12=58']
Exploring Operation: 58-41=17, Resulting Numbers: [1, 17]
Generated Node #0,1,0: 98:[1, 17] Operation: 58-41=17
Exploring Operation: 41+58=99, Resulting Numbers: [1, 99]
Generated Node #0,1,1: 98:[1, 99] Operation: 41+58=99
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 98:[1, 99], Operations: ['70-12=58', '41+58=99']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[1, 70, 12, 41], Operations: []
Exploring Operation: 70-12=58, Resulting Numbers: [1, 41, 58]
Generated Node #0,1: 98:[1, 41, 58] Operation: 70-12=58
Moving to Node #0,1
Current State: 98:[1, 41, 58], Operations: ['70-12=58']
Exploring Operation: 41+58=99, Resulting Numbers: [1, 99]
Generated Node #0,1,1: 98:[1, 99] Operation: 41+58=99
Moving to Node #0,1,1
Current State: 98:[1, 99], Operations: ['70-12=58', '41+58=99']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
87,
58,
15,
38
] | 28 | [
"58*15=870",
"870/87=10",
"38-10=28"
] | Current State: 28:[87, 58, 15, 38], Operations: []
Exploring Operation: 58*15=870, Resulting Numbers: [87, 38, 870]
Generated Node #2: [87, 38, 870] from Operation: 58*15=870
Current State: 28:[87, 38, 870], Operations: ['58*15=870']
Exploring Operation: 870/87=10, Resulting Numbers: [38, 10]
Generated Node #3: [38, 10] from Operation: 870/87=10
Current State: 28:[38, 10], Operations: ['58*15=870', '870/87=10']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[87, 58, 15, 38], Operations: []
Exploring Operation: 87-58=29, Resulting Numbers: [15, 38, 29]
Generated Node #0,0: 28:[15, 38, 29] Operation: 87-58=29
Exploring Operation: 58-38=20, Resulting Numbers: [87, 15, 20]
Generated Node #0,1: 28:[87, 15, 20] Operation: 58-38=20
Exploring Operation: 87-38=49, Resulting Numbers: [58, 15, 49]
Generated Node #0,2: 28:[58, 15, 49] Operation: 87-38=49
Moving to Node #0,0
Current State: 28:[15, 38, 29], Operations: ['87-58=29']
Exploring Operation: 38-29=9, Resulting Numbers: [15, 9]
Generated Node #0,0,0: 28:[15, 9] Operation: 38-29=9
Exploring Operation: 29-15=14, Resulting Numbers: [38, 14]
Generated Node #0,0,1: 28:[38, 14] Operation: 29-15=14
Exploring Operation: 38-15=23, Resulting Numbers: [29, 23]
Generated Node #0,0,2: 28:[29, 23] Operation: 38-15=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[15, 9], Operations: ['87-58=29', '38-29=9']
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,28 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,28 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 #0,0,2
Current State: 28:[29, 23], Operations: ['87-58=29', '38-15=23']
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 29*23=667, Resulting Numbers: [667]
667,28 unequal: No Solution
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 28:[38, 14], Operations: ['87-58=29', '29-15=14']
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,28 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 28:[58, 15, 49], Operations: ['87-38=49']
Exploring Operation: 58-15=43, Resulting Numbers: [49, 43]
Generated Node #0,2,0: 28:[49, 43] Operation: 58-15=43
Exploring Operation: 58-49=9, Resulting Numbers: [15, 9]
Generated Node #0,2,1: 28:[15, 9] Operation: 58-49=9
Exploring Operation: 49-15=34, Resulting Numbers: [58, 34]
Generated Node #0,2,2: 28:[58, 34] Operation: 49-15=34
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 28:[15, 9], Operations: ['87-38=49', '58-49=9']
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,28 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,28 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 #0,2,0
Current State: 28:[49, 43], Operations: ['87-38=49', '58-15=43']
Exploring Operation: 49-43=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 49+43=92, Resulting Numbers: [92]
92,28 unequal: No Solution
Exploring Operation: 49*43=2107, Resulting Numbers: [2107]
2107,28 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 #0,2,2
Current State: 28:[58, 34], Operations: ['87-38=49', '49-15=34']
Exploring Operation: 58-34=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 58*34=1972, Resulting Numbers: [1972]
1972,28 unequal: No Solution
Exploring Operation: 58+34=92, Resulting Numbers: [92]
92,28 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: 28:[87, 15, 20], Operations: ['58-38=20']
Exploring Operation: 20-15=5, Resulting Numbers: [87, 5]
Generated Node #0,1,0: 28:[87, 5] Operation: 20-15=5
Exploring Operation: 87-20=67, Resulting Numbers: [15, 67]
Generated Node #0,1,1: 28:[15, 67] Operation: 87-20=67
Exploring Operation: 87-15=72, Resulting Numbers: [20, 72]
Generated Node #0,1,2: 28:[20, 72] Operation: 87-15=72
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[15, 67], Operations: ['58-38=20', '87-20=67']
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 15*67=1005, Resulting Numbers: [1005]
1005,28 unequal: No Solution
Exploring Operation: 15+67=82, Resulting Numbers: [82]
82,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 28:[20, 72], Operations: ['58-38=20', '87-15=72']
Exploring Operation: 20+72=92, Resulting Numbers: [92]
92,28 unequal: No Solution
Exploring Operation: 72-20=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 20*72=1440, Resulting Numbers: [1440]
1440,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[87, 5], Operations: ['58-38=20', '20-15=5']
Exploring Operation: 87+5=92, Resulting Numbers: [92]
92,28 unequal: No Solution
Exploring Operation: 87*5=435, Resulting Numbers: [435]
435,28 unequal: No Solution
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
54,
68,
92,
71
] | 23 | [
"71-54=17",
"68/17=4",
"92/4=23"
] | Current State: 23:[54, 68, 92, 71], Operations: []
Exploring Operation: 71-54=17, Resulting Numbers: [68, 92, 17]
Generated Node #2: [68, 92, 17] from Operation: 71-54=17
Current State: 23:[68, 92, 17], Operations: ['71-54=17']
Exploring Operation: 68/17=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 68/17=4
Current State: 23:[92, 4], Operations: ['71-54=17', '68/17=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[54, 68, 92, 71], Operations: []
Exploring Operation: 92-71=21, Resulting Numbers: [54, 68, 21]
Generated Node #0,0: 23:[54, 68, 21] Operation: 92-71=21
Exploring Operation: 92-54=38, Resulting Numbers: [68, 71, 38]
Generated Node #0,1: 23:[68, 71, 38] Operation: 92-54=38
Exploring Operation: 92-68=24, Resulting Numbers: [54, 71, 24]
Generated Node #0,2: 23:[54, 71, 24] Operation: 92-68=24
Moving to Node #0,0
Current State: 23:[54, 68, 21], Operations: ['92-71=21']
Exploring Operation: 54-21=33, Resulting Numbers: [68, 33]
Generated Node #0,0,0: 23:[68, 33] Operation: 54-21=33
Exploring Operation: 68-21=47, Resulting Numbers: [54, 47]
Generated Node #0,0,1: 23:[54, 47] Operation: 68-21=47
Exploring Operation: 68-54=14, Resulting Numbers: [21, 14]
Generated Node #0,0,2: 23:[21, 14] Operation: 68-54=14
Moving to Node #0,2
Current State: 23:[54, 71, 24], Operations: ['92-68=24']
Exploring Operation: 54-24=30, Resulting Numbers: [71, 30]
Generated Node #0,2,0: 23:[71, 30] Operation: 54-24=30
Exploring Operation: 71-54=17, Resulting Numbers: [24, 17]
Generated Node #0,2,1: 23:[24, 17] Operation: 71-54=17
Exploring Operation: 71-24=47, Resulting Numbers: [54, 47]
Generated Node #0,2,2: 23:[54, 47] Operation: 71-24=47
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 23:[24, 17], Operations: ['92-68=24', '71-54=17']
Exploring Operation: 24*17=408, Resulting Numbers: [408]
408,23 unequal: No Solution
Exploring Operation: 24+17=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 23:[71, 30], Operations: ['92-68=24', '54-24=30']
Exploring Operation: 71*30=2130, Resulting Numbers: [2130]
2130,23 unequal: No Solution
Exploring Operation: 71+30=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 23:[54, 47], Operations: ['92-68=24', '71-24=47']
Exploring Operation: 54+47=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 54*47=2538, Resulting Numbers: [2538]
2538,23 unequal: No Solution
Exploring Operation: 54-47=7, Resulting Numbers: [7]
7,23 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: 23:[68, 71, 38], Operations: ['92-54=38']
Exploring Operation: 71-38=33, Resulting Numbers: [68, 33]
Generated Node #0,1,0: 23:[68, 33] Operation: 71-38=33
Exploring Operation: 71-68=3, Resulting Numbers: [38, 3]
Generated Node #0,1,1: 23:[38, 3] Operation: 71-68=3
Exploring Operation: 68-38=30, Resulting Numbers: [71, 30]
Generated Node #0,1,2: 23:[71, 30] Operation: 68-38=30
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 23:[38, 3], Operations: ['92-54=38', '71-68=3']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[68, 33], Operations: ['92-54=38', '71-38=33']
Exploring Operation: 68*33=2244, Resulting Numbers: [2244]
2244,23 unequal: No Solution
Exploring Operation: 68+33=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 23:[71, 30], Operations: ['92-54=38', '68-38=30']
Exploring Operation: 71*30=2130, Resulting Numbers: [2130]
2130,23 unequal: No Solution
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 71+30=101, Resulting Numbers: [101]
101,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 23:[21, 14], Operations: ['92-71=21', '68-54=14']
Exploring Operation: 21+14=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 21*14=294, Resulting Numbers: [294]
294,23 unequal: No Solution
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[68, 33], Operations: ['92-71=21', '54-21=33']
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 68+33=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 68*33=2244, Resulting Numbers: [2244]
2244,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[54, 47], Operations: ['92-71=21', '68-21=47']
Exploring Operation: 54*47=2538, Resulting Numbers: [2538]
2538,23 unequal: No Solution
Exploring Operation: 54-47=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 54+47=101, Resulting Numbers: [101]
101,23 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
43,
17,
1,
65
] | 91 | [
"43-17=26",
"1*65=65",
"26+65=91"
] | Current State: 91:[43, 17, 1, 65], Operations: []
Exploring Operation: 43-17=26, Resulting Numbers: [1, 65, 26]
Generated Node #2: [1, 65, 26] from Operation: 43-17=26
Current State: 91:[1, 65, 26], Operations: ['43-17=26']
Exploring Operation: 1*65=65, Resulting Numbers: [26, 65]
Generated Node #3: [26, 65] from Operation: 1*65=65
Current State: 91:[26, 65], Operations: ['43-17=26', '1*65=65']
Exploring Operation: 26+65=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[43, 17, 1, 65], Operations: []
Exploring Operation: 65-43=22, Resulting Numbers: [17, 1, 22]
Generated Node #0,0: 91:[17, 1, 22] Operation: 65-43=22
Exploring Operation: 43-17=26, Resulting Numbers: [1, 65, 26]
Generated Node #0,1: 91:[1, 65, 26] Operation: 43-17=26
Exploring Operation: 43+65=108, Resulting Numbers: [17, 1, 108]
Generated Node #0,2: 91:[17, 1, 108] Operation: 43+65=108
Exploring Operation: 17+65=82, Resulting Numbers: [43, 1, 82]
Generated Node #0,3: 91:[43, 1, 82] Operation: 17+65=82
Exploring Operation: 43-1=42, Resulting Numbers: [17, 65, 42]
Generated Node #0,4: 91:[17, 65, 42] Operation: 43-1=42
Moving to Node #0,0
Current State: 91:[17, 1, 22], Operations: ['65-43=22']
Exploring Operation: 22-17=5, Resulting Numbers: [1, 5]
Generated Node #0,0,0: 91:[1, 5] Operation: 22-17=5
Exploring Operation: 17*1=17, Resulting Numbers: [22, 17]
Generated Node #0,0,1: 91:[22, 17] Operation: 17*1=17
Exploring Operation: 17/1=17, Resulting Numbers: [22, 17]
Generated Node #0,0,2: 91:[22, 17] Operation: 17/1=17
Exploring Operation: 22-1=21, Resulting Numbers: [17, 21]
Generated Node #0,0,3: 91:[17, 21] Operation: 22-1=21
Exploring Operation: 17-1=16, Resulting Numbers: [22, 16]
Generated Node #0,0,4: 91:[22, 16] Operation: 17-1=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[1, 5], Operations: ['65-43=22', '22-17=5']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 91:[17, 21], Operations: ['65-43=22', '22-1=21']
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,91 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 17*21=357, Resulting Numbers: [357]
357,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 91:[22, 16], Operations: ['65-43=22', '17-1=16']
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,91 unequal: No Solution
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[22, 17], Operations: ['65-43=22', '17*1=17']
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,91 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 22*17=374, Resulting Numbers: [374]
374,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[22, 17], Operations: ['65-43=22', '17/1=17']
Exploring Operation: 22*17=374, Resulting Numbers: [374]
374,91 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,91 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: 91:[17, 1, 108], Operations: ['43+65=108']
Exploring Operation: 17*1=17, Resulting Numbers: [108, 17]
Generated Node #0,2,0: 91:[108, 17] Operation: 17*1=17
Exploring Operation: 108-17=91, Resulting Numbers: [1, 91]
Generated Node #0,2,1: 91:[1, 91] Operation: 108-17=91
Exploring Operation: 108-1=107, Resulting Numbers: [17, 107]
Generated Node #0,2,2: 91:[17, 107] Operation: 108-1=107
Exploring Operation: 17/1=17, Resulting Numbers: [108, 17]
Generated Node #0,2,3: 91:[108, 17] Operation: 17/1=17
Exploring Operation: 17-1=16, Resulting Numbers: [108, 16]
Generated Node #0,2,4: 91:[108, 16] Operation: 17-1=16
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 91:[1, 91], Operations: ['43+65=108', '108-17=91']
Exploring Operation: 1*91=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[43, 17, 1, 65], Operations: []
Exploring Operation: 43+65=108, Resulting Numbers: [17, 1, 108]
Generated Node #0,2: 91:[17, 1, 108] Operation: 43+65=108
Moving to Node #0,2
Current State: 91:[17, 1, 108], Operations: ['43+65=108']
Exploring Operation: 108-17=91, Resulting Numbers: [1, 91]
Generated Node #0,2,1: 91:[1, 91] Operation: 108-17=91
Moving to Node #0,2,1
Current State: 91:[1, 91], Operations: ['43+65=108', '108-17=91']
Exploring Operation: 1*91=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
11,
50,
4,
16
] | 94 | [
"11*16=176",
"176/4=44",
"50+44=94"
] | Current State: 94:[11, 50, 4, 16], Operations: []
Exploring Operation: 11*16=176, Resulting Numbers: [50, 4, 176]
Generated Node #2: [50, 4, 176] from Operation: 11*16=176
Current State: 94:[50, 4, 176], Operations: ['11*16=176']
Exploring Operation: 176/4=44, Resulting Numbers: [50, 44]
Generated Node #3: [50, 44] from Operation: 176/4=44
Current State: 94:[50, 44], Operations: ['11*16=176', '176/4=44']
Exploring Operation: 50+44=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[11, 50, 4, 16], Operations: []
Exploring Operation: 16-11=5, Resulting Numbers: [50, 4, 5]
Generated Node #0,0: 94:[50, 4, 5] Operation: 16-11=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[50, 4, 5], Operations: ['16-11=5']
Exploring Operation: 50-4=46, Resulting Numbers: [5, 46]
Generated Node #0,0,0: 94:[5, 46] Operation: 50-4=46
Moving to Node #0,0,0
Current State: 94:[5, 46], Operations: ['16-11=5', '50-4=46']
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
20,
13,
37,
15
] | 55 | [
"20+13=33",
"37-15=22",
"33+22=55"
] | Current State: 55:[20, 13, 37, 15], Operations: []
Exploring Operation: 20+13=33, Resulting Numbers: [37, 15, 33]
Generated Node #2: [37, 15, 33] from Operation: 20+13=33
Current State: 55:[37, 15, 33], Operations: ['20+13=33']
Exploring Operation: 37-15=22, Resulting Numbers: [33, 22]
Generated Node #3: [33, 22] from Operation: 37-15=22
Current State: 55:[33, 22], Operations: ['20+13=33', '37-15=22']
Exploring Operation: 33+22=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[20, 13, 37, 15], Operations: []
Exploring Operation: 13+37=50, Resulting Numbers: [20, 15, 50]
Generated Node #0,0: 55:[20, 15, 50] Operation: 13+37=50
Exploring Operation: 37-20=17, Resulting Numbers: [13, 15, 17]
Generated Node #0,1: 55:[13, 15, 17] Operation: 37-20=17
Exploring Operation: 20-15=5, Resulting Numbers: [13, 37, 5]
Generated Node #0,2: 55:[13, 37, 5] Operation: 20-15=5
Exploring Operation: 20+37=57, Resulting Numbers: [13, 15, 57]
Generated Node #0,3: 55:[13, 15, 57] Operation: 20+37=57
Exploring Operation: 37+15=52, Resulting Numbers: [20, 13, 52]
Generated Node #0,4: 55:[20, 13, 52] Operation: 37+15=52
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[13, 15, 57], Operations: ['20+37=57']
Exploring Operation: 13+57=70, Resulting Numbers: [15, 70]
Generated Node #0,3,0: 55:[15, 70] Operation: 13+57=70
Exploring Operation: 15-13=2, Resulting Numbers: [57, 2]
Generated Node #0,3,1: 55:[57, 2] Operation: 15-13=2
Exploring Operation: 57-13=44, Resulting Numbers: [15, 44]
Generated Node #0,3,2: 55:[15, 44] Operation: 57-13=44
Exploring Operation: 13+15=28, Resulting Numbers: [57, 28]
Generated Node #0,3,3: 55:[57, 28] Operation: 13+15=28
Exploring Operation: 57-15=42, Resulting Numbers: [13, 42]
Generated Node #0,3,4: 55:[13, 42] Operation: 57-15=42
Moving to Node #0,3,1
Current State: 55:[57, 2], Operations: ['20+37=57', '15-13=2']
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,55 unequal: No Solution
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,55 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[20, 13, 37, 15], Operations: []
Exploring Operation: 20+37=57, Resulting Numbers: [13, 15, 57]
Generated Node #0,3: 55:[13, 15, 57] Operation: 20+37=57
Moving to Node #0,3
Current State: 55:[13, 15, 57], Operations: ['20+37=57']
Exploring Operation: 15-13=2, Resulting Numbers: [57, 2]
Generated Node #0,3,1: 55:[57, 2] Operation: 15-13=2
Moving to Node #0,3,1
Current State: 55:[57, 2], Operations: ['20+37=57', '15-13=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
9,
52,
54,
19
] | 37 | [
"54-52=2",
"9*2=18",
"19+18=37"
] | Current State: 37:[9, 52, 54, 19], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [9, 19, 2]
Generated Node #2: [9, 19, 2] from Operation: 54-52=2
Current State: 37:[9, 19, 2], Operations: ['54-52=2']
Exploring Operation: 9*2=18, Resulting Numbers: [19, 18]
Generated Node #3: [19, 18] from Operation: 9*2=18
Current State: 37:[19, 18], Operations: ['54-52=2', '9*2=18']
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[9, 52, 54, 19], Operations: []
Exploring Operation: 52-9=43, Resulting Numbers: [54, 19, 43]
Generated Node #0,0: 37:[54, 19, 43] Operation: 52-9=43
Exploring Operation: 54-9=45, Resulting Numbers: [52, 19, 45]
Generated Node #0,1: 37:[52, 19, 45] Operation: 54-9=45
Moving to Node #0,0
Current State: 37:[54, 19, 43], Operations: ['52-9=43']
Exploring Operation: 43-19=24, Resulting Numbers: [54, 24]
Generated Node #0,0,0: 37:[54, 24] Operation: 43-19=24
Exploring Operation: 54-19=35, Resulting Numbers: [43, 35]
Generated Node #0,0,1: 37:[43, 35] Operation: 54-19=35
Moving to Node #0,1
Current State: 37:[52, 19, 45], Operations: ['54-9=45']
Exploring Operation: 45-19=26, Resulting Numbers: [52, 26]
Generated Node #0,1,0: 37:[52, 26] Operation: 45-19=26
Exploring Operation: 52-19=33, Resulting Numbers: [45, 33]
Generated Node #0,1,1: 37:[45, 33] Operation: 52-19=33
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[45, 33], Operations: ['54-9=45', '52-19=33']
Exploring Operation: 45+33=78, Resulting Numbers: [78]
78,37 unequal: No Solution
Exploring Operation: 45-33=12, Resulting Numbers: [12]
12,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[52, 26], Operations: ['54-9=45', '45-19=26']
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 37:[43, 35], Operations: ['52-9=43', '54-19=35']
Exploring Operation: 43+35=78, Resulting Numbers: [78]
78,37 unequal: No Solution
Exploring Operation: 43-35=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[54, 24], Operations: ['52-9=43', '43-19=24']
Exploring Operation: 54+24=78, Resulting Numbers: [78]
78,37 unequal: No Solution
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,37 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
46,
27,
41,
66
] | 88 | [
"46-27=19",
"41+66=107",
"107-19=88"
] | Current State: 88:[46, 27, 41, 66], Operations: []
Exploring Operation: 46-27=19, Resulting Numbers: [41, 66, 19]
Generated Node #2: [41, 66, 19] from Operation: 46-27=19
Current State: 88:[41, 66, 19], Operations: ['46-27=19']
Exploring Operation: 41+66=107, Resulting Numbers: [19, 107]
Generated Node #3: [19, 107] from Operation: 41+66=107
Current State: 88:[19, 107], Operations: ['46-27=19', '41+66=107']
Exploring Operation: 107-19=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[46, 27, 41, 66], Operations: []
Exploring Operation: 66-46=20, Resulting Numbers: [27, 41, 20]
Generated Node #0,0: 88:[27, 41, 20] Operation: 66-46=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[27, 41, 20], Operations: ['66-46=20']
Exploring Operation: 27-20=7, Resulting Numbers: [41, 7]
Generated Node #0,0,0: 88:[41, 7] Operation: 27-20=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[41, 7], Operations: ['66-46=20', '27-20=7']
Exploring Operation: 41+7=48, Resulting Numbers: [48]
48,88 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 | mult_heuristic |
[
69,
11,
9,
36
] | 66 | [
"69-36=33",
"11*9=99",
"99-33=66"
] | Current State: 66:[69, 11, 9, 36], Operations: []
Exploring Operation: 69-36=33, Resulting Numbers: [11, 9, 33]
Generated Node #2: [11, 9, 33] from Operation: 69-36=33
Current State: 66:[11, 9, 33], Operations: ['69-36=33']
Exploring Operation: 11*9=99, Resulting Numbers: [33, 99]
Generated Node #3: [33, 99] from Operation: 11*9=99
Current State: 66:[33, 99], Operations: ['69-36=33', '11*9=99']
Exploring Operation: 99-33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[69, 11, 9, 36], Operations: []
Exploring Operation: 69-36=33, Resulting Numbers: [11, 9, 33]
Generated Node #0,0: 66:[11, 9, 33] Operation: 69-36=33
Exploring Operation: 11-9=2, Resulting Numbers: [69, 36, 2]
Generated Node #0,1: 66:[69, 36, 2] Operation: 11-9=2
Exploring Operation: 36/9=4, Resulting Numbers: [69, 11, 4]
Generated Node #0,2: 66:[69, 11, 4] Operation: 36/9=4
Exploring Operation: 11+9=20, Resulting Numbers: [69, 36, 20]
Generated Node #0,3: 66:[69, 36, 20] Operation: 11+9=20
Moving to Node #0,0
Current State: 66:[11, 9, 33], Operations: ['69-36=33']
Exploring Operation: 33/11=3, Resulting Numbers: [9, 3]
Generated Node #0,0,0: 66:[9, 3] Operation: 33/11=3
Exploring Operation: 33-11=22, Resulting Numbers: [9, 22]
Generated Node #0,0,1: 66:[9, 22] Operation: 33-11=22
Exploring Operation: 11+9=20, Resulting Numbers: [33, 20]
Generated Node #0,0,2: 66:[33, 20] Operation: 11+9=20
Exploring Operation: 11-9=2, Resulting Numbers: [33, 2]
Generated Node #0,0,3: 66:[33, 2] Operation: 11-9=2
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 66:[33, 2], Operations: ['69-36=33', '11-9=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,66 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[69, 11, 9, 36], Operations: []
Exploring Operation: 69-36=33, Resulting Numbers: [11, 9, 33]
Generated Node #0,0: 66:[11, 9, 33] Operation: 69-36=33
Moving to Node #0,0
Current State: 66:[11, 9, 33], Operations: ['69-36=33']
Exploring Operation: 11-9=2, Resulting Numbers: [33, 2]
Generated Node #0,0,3: 66:[33, 2] Operation: 11-9=2
Moving to Node #0,0,3
Current State: 66:[33, 2], Operations: ['69-36=33', '11-9=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
37,
72,
38,
3
] | 47 | [
"37+38=75",
"75/3=25",
"72-25=47"
] | Current State: 47:[37, 72, 38, 3], Operations: []
Exploring Operation: 37+38=75, Resulting Numbers: [72, 3, 75]
Generated Node #2: [72, 3, 75] from Operation: 37+38=75
Current State: 47:[72, 3, 75], Operations: ['37+38=75']
Exploring Operation: 75/3=25, Resulting Numbers: [72, 25]
Generated Node #3: [72, 25] from Operation: 75/3=25
Current State: 47:[72, 25], Operations: ['37+38=75', '75/3=25']
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[37, 72, 38, 3], Operations: []
Exploring Operation: 38+3=41, Resulting Numbers: [37, 72, 41]
Generated Node #0,0: 47:[37, 72, 41] Operation: 38+3=41
Exploring Operation: 37+3=40, Resulting Numbers: [72, 38, 40]
Generated Node #0,1: 47:[72, 38, 40] Operation: 37+3=40
Exploring Operation: 72/3=24, Resulting Numbers: [37, 38, 24]
Generated Node #0,2: 47:[37, 38, 24] Operation: 72/3=24
Exploring Operation: 72-3=69, Resulting Numbers: [37, 38, 69]
Generated Node #0,3: 47:[37, 38, 69] Operation: 72-3=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[37, 72, 41], Operations: ['38+3=41']
Exploring Operation: 72-37=35, Resulting Numbers: [41, 35]
Generated Node #0,0,0: 47:[41, 35] Operation: 72-37=35
Exploring Operation: 37+41=78, Resulting Numbers: [72, 78]
Generated Node #0,0,1: 47:[72, 78] Operation: 37+41=78
Exploring Operation: 72-41=31, Resulting Numbers: [37, 31]
Generated Node #0,0,2: 47:[37, 31] Operation: 72-41=31
Exploring Operation: 37+72=109, Resulting Numbers: [41, 109]
Generated Node #0,0,3: 47:[41, 109] Operation: 37+72=109
Moving to Node #0,0,0
Current State: 47:[41, 35], Operations: ['38+3=41', '72-37=35']
Exploring Operation: 41*35=1435, Resulting Numbers: [1435]
1435,47 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Exploring Operation: 41+35=76, Resulting Numbers: [76]
76,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[37, 31], Operations: ['38+3=41', '72-41=31']
Exploring Operation: 37*31=1147, Resulting Numbers: [1147]
1147,47 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Exploring Operation: 37+31=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[72, 78], Operations: ['38+3=41', '37+41=78']
Exploring Operation: 72+78=150, Resulting Numbers: [150]
150,47 unequal: No Solution
Exploring Operation: 72*78=5616, Resulting Numbers: [5616]
5616,47 unequal: No Solution
Exploring Operation: 78-72=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[41, 109], Operations: ['38+3=41', '37+72=109']
Exploring Operation: 41+109=150, Resulting Numbers: [150]
150,47 unequal: No Solution
Exploring Operation: 109-41=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 41*109=4469, Resulting Numbers: [4469]
4469,47 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
Current State: 47:[72, 38, 40], Operations: ['37+3=40']
Exploring Operation: 38+40=78, Resulting Numbers: [72, 78]
Generated Node #0,1,0: 47:[72, 78] Operation: 38+40=78
Exploring Operation: 72+38=110, Resulting Numbers: [40, 110]
Generated Node #0,1,1: 47:[40, 110] Operation: 72+38=110
Exploring Operation: 72-38=34, Resulting Numbers: [40, 34]
Generated Node #0,1,2: 47:[40, 34] Operation: 72-38=34
Exploring Operation: 72-40=32, Resulting Numbers: [38, 32]
Generated Node #0,1,3: 47:[38, 32] Operation: 72-40=32
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 47:[40, 34], Operations: ['37+3=40', '72-38=34']
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Exploring Operation: 40*34=1360, Resulting Numbers: [1360]
1360,47 unequal: No Solution
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 47:[38, 32], Operations: ['37+3=40', '72-40=32']
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Exploring Operation: 38*32=1216, Resulting Numbers: [1216]
1216,47 unequal: No Solution
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[72, 78], Operations: ['37+3=40', '38+40=78']
Exploring Operation: 72*78=5616, Resulting Numbers: [5616]
5616,47 unequal: No Solution
Exploring Operation: 72+78=150, Resulting Numbers: [150]
150,47 unequal: No Solution
Exploring Operation: 78-72=6, Resulting Numbers: [6]
6,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[40, 110], Operations: ['37+3=40', '72+38=110']
Exploring Operation: 40*110=4400, Resulting Numbers: [4400]
4400,47 unequal: No Solution
Exploring Operation: 40+110=150, Resulting Numbers: [150]
150,47 unequal: No Solution
Exploring Operation: 110-40=70, Resulting Numbers: [70]
70,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[37, 38, 69], Operations: ['72-3=69']
Exploring Operation: 69-38=31, Resulting Numbers: [37, 31]
Generated Node #0,3,0: 47:[37, 31] Operation: 69-38=31
Exploring Operation: 37+38=75, Resulting Numbers: [69, 75]
Generated Node #0,3,1: 47:[69, 75] Operation: 37+38=75
Exploring Operation: 69-37=32, Resulting Numbers: [38, 32]
Generated Node #0,3,2: 47:[38, 32] Operation: 69-37=32
Exploring Operation: 38-37=1, Resulting Numbers: [69, 1]
Generated Node #0,3,3: 47:[69, 1] Operation: 38-37=1
Moving to Node #0,3,2
Current State: 47:[38, 32], Operations: ['72-3=69', '69-37=32']
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 38*32=1216, Resulting Numbers: [1216]
1216,47 unequal: No Solution
Moving to Node #0,3,0
Current State: 47:[37, 31], Operations: ['72-3=69', '69-38=31']
Exploring Operation: 37*31=1147, Resulting Numbers: [1147]
1147,47 unequal: No Solution
Exploring Operation: 37+31=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Moving to Node #0,3,1
Current State: 47:[69, 75], Operations: ['72-3=69', '37+38=75']
Exploring Operation: 75-69=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Exploring Operation: 69+75=144, Resulting Numbers: [144]
144,47 unequal: No Solution
Exploring Operation: 69*75=5175, Resulting Numbers: [5175]
5175,47 unequal: No Solution
Moving to Node #0,3,3
Current State: 47:[69, 1], Operations: ['72-3=69', '38-37=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,47 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[37, 38, 24], Operations: ['72/3=24']
Exploring Operation: 37+24=61, Resulting Numbers: [38, 61]
Generated Node #0,2,0: 47:[38, 61] Operation: 37+24=61
Exploring Operation: 37-24=13, Resulting Numbers: [38, 13]
Generated Node #0,2,1: 47:[38, 13] Operation: 37-24=13
Exploring Operation: 38+24=62, Resulting Numbers: [37, 62]
Generated Node #0,2,2: 47:[37, 62] Operation: 38+24=62
Exploring Operation: 38-24=14, Resulting Numbers: [37, 14]
Generated Node #0,2,3: 47:[37, 14] Operation: 38-24=14
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 47:[38, 61], Operations: ['72/3=24', '37+24=61']
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,47 unequal: No Solution
Exploring Operation: 38*61=2318, Resulting Numbers: [2318]
2318,47 unequal: No Solution
Exploring Operation: 38+61=99, Resulting Numbers: [99]
99,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[37, 62], Operations: ['72/3=24', '38+24=62']
Exploring Operation: 62-37=25, Resulting Numbers: [25]
25,47 unequal: No Solution
Exploring Operation: 37+62=99, Resulting Numbers: [99]
99,47 unequal: No Solution
Exploring Operation: 37*62=2294, Resulting Numbers: [2294]
2294,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 47:[38, 13], Operations: ['72/3=24', '37-24=13']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,47 unequal: No Solution
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 47:[37, 14], Operations: ['72/3=24', '38-24=14']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,47 unequal: No Solution
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,47 unequal: No Solution
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
20,
23,
2,
4
] | 29 | [
"20/2=10",
"23-4=19",
"10+19=29"
] | Current State: 29:[20, 23, 2, 4], Operations: []
Exploring Operation: 20/2=10, Resulting Numbers: [23, 4, 10]
Generated Node #2: [23, 4, 10] from Operation: 20/2=10
Current State: 29:[23, 4, 10], Operations: ['20/2=10']
Exploring Operation: 23-4=19, Resulting Numbers: [10, 19]
Generated Node #3: [10, 19] from Operation: 23-4=19
Current State: 29:[10, 19], Operations: ['20/2=10', '23-4=19']
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[20, 23, 2, 4], Operations: []
Exploring Operation: 2*4=8, Resulting Numbers: [20, 23, 8]
Generated Node #0,0: 29:[20, 23, 8] Operation: 2*4=8
Exploring Operation: 20+4=24, Resulting Numbers: [23, 2, 24]
Generated Node #0,1: 29:[23, 2, 24] Operation: 20+4=24
Exploring Operation: 20+2=22, Resulting Numbers: [23, 4, 22]
Generated Node #0,2: 29:[23, 4, 22] Operation: 20+2=22
Exploring Operation: 23+4=27, Resulting Numbers: [20, 2, 27]
Generated Node #0,3: 29:[20, 2, 27] Operation: 23+4=27
Exploring Operation: 23+2=25, Resulting Numbers: [20, 4, 25]
Generated Node #0,4: 29:[20, 4, 25] Operation: 23+2=25
Moving to Node #0,0
Current State: 29:[20, 23, 8], Operations: ['2*4=8']
Exploring Operation: 20+8=28, Resulting Numbers: [23, 28]
Generated Node #0,0,0: 29:[23, 28] Operation: 20+8=28
Exploring Operation: 23-8=15, Resulting Numbers: [20, 15]
Generated Node #0,0,1: 29:[20, 15] Operation: 23-8=15
Exploring Operation: 23+8=31, Resulting Numbers: [20, 31]
Generated Node #0,0,2: 29:[20, 31] Operation: 23+8=31
Exploring Operation: 20-8=12, Resulting Numbers: [23, 12]
Generated Node #0,0,3: 29:[23, 12] Operation: 20-8=12
Exploring Operation: 20+23=43, Resulting Numbers: [8, 43]
Generated Node #0,0,4: 29:[8, 43] Operation: 20+23=43
Moving to Node #0,2
Current State: 29:[23, 4, 22], Operations: ['20+2=22']
Exploring Operation: 22-4=18, Resulting Numbers: [23, 18]
Generated Node #0,2,0: 29:[23, 18] Operation: 22-4=18
Exploring Operation: 23+22=45, Resulting Numbers: [4, 45]
Generated Node #0,2,1: 29:[4, 45] Operation: 23+22=45
Exploring Operation: 4+22=26, Resulting Numbers: [23, 26]
Generated Node #0,2,2: 29:[23, 26] Operation: 4+22=26
Exploring Operation: 23+4=27, Resulting Numbers: [22, 27]
Generated Node #0,2,3: 29:[22, 27] Operation: 23+4=27
Exploring Operation: 23-4=19, Resulting Numbers: [22, 19]
Generated Node #0,2,4: 29:[22, 19] Operation: 23-4=19
Moving to Node #0,4
Current State: 29:[20, 4, 25], Operations: ['23+2=25']
Exploring Operation: 20/4=5, Resulting Numbers: [25, 5]
Generated Node #0,4,0: 29:[25, 5] Operation: 20/4=5
Exploring Operation: 4+25=29, Resulting Numbers: [20, 29]
Generated Node #0,4,1: 29:[20, 29] Operation: 4+25=29
Exploring Operation: 20+4=24, Resulting Numbers: [25, 24]
Generated Node #0,4,2: 29:[25, 24] Operation: 20+4=24
Exploring Operation: 25-4=21, Resulting Numbers: [20, 21]
Generated Node #0,4,3: 29:[20, 21] Operation: 25-4=21
Exploring Operation: 20-4=16, Resulting Numbers: [25, 16]
Generated Node #0,4,4: 29:[25, 16] Operation: 20-4=16
Moving to Node #0,1
Current State: 29:[23, 2, 24], Operations: ['20+4=24']
Exploring Operation: 2+24=26, Resulting Numbers: [23, 26]
Generated Node #0,1,0: 29:[23, 26] Operation: 2+24=26
Exploring Operation: 24-2=22, Resulting Numbers: [23, 22]
Generated Node #0,1,1: 29:[23, 22] Operation: 24-2=22
Exploring Operation: 23*2=46, Resulting Numbers: [24, 46]
Generated Node #0,1,2: 29:[24, 46] Operation: 23*2=46
Exploring Operation: 23+2=25, Resulting Numbers: [24, 25]
Generated Node #0,1,3: 29:[24, 25] Operation: 23+2=25
Exploring Operation: 23-2=21, Resulting Numbers: [24, 21]
Generated Node #0,1,4: 29:[24, 21] Operation: 23-2=21
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[23, 26], Operations: ['20+4=24', '2+24=26']
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,29 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 #0,1,3
Current State: 29:[24, 25], Operations: ['20+4=24', '23+2=25']
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 24*25=600, Resulting Numbers: [600]
600,29 unequal: No Solution
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,29 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 #0,1,1
Current State: 29:[23, 22], Operations: ['20+4=24', '24-2=22']
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 23+22=45, Resulting Numbers: [45]
45,29 unequal: No Solution
Exploring Operation: 23*22=506, Resulting Numbers: [506]
506,29 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 #0,1,4
Current State: 29:[24, 21], Operations: ['20+4=24', '23-2=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,29 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,29 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 #0,1,2
Current State: 29:[24, 46], Operations: ['20+4=24', '23*2=46']
Exploring Operation: 24*46=1104, Resulting Numbers: [1104]
1104,29 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,29 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: 29:[20, 2, 27], Operations: ['23+4=27']
Exploring Operation: 2+27=29, Resulting Numbers: [20, 29]
Generated Node #0,3,0: 29:[20, 29] Operation: 2+27=29
Exploring Operation: 20+2=22, Resulting Numbers: [27, 22]
Generated Node #0,3,1: 29:[27, 22] Operation: 20+2=22
Exploring Operation: 20-2=18, Resulting Numbers: [27, 18]
Generated Node #0,3,2: 29:[27, 18] Operation: 20-2=18
Exploring Operation: 20*2=40, Resulting Numbers: [27, 40]
Generated Node #0,3,3: 29:[27, 40] Operation: 20*2=40
Exploring Operation: 27-2=25, Resulting Numbers: [20, 25]
Generated Node #0,3,4: 29:[20, 25] Operation: 27-2=25
Moving to Node #0,0,0
Current State: 29:[23, 28], Operations: ['2*4=8', '20+8=28']
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 23*28=644, Resulting Numbers: [644]
644,29 unequal: No Solution
Exploring Operation: 23+28=51, Resulting Numbers: [51]
51,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[23, 26], Operations: ['20+2=22', '4+22=26']
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,29 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[22, 27], Operations: ['20+2=22', '23+4=27']
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 22*27=594, Resulting Numbers: [594]
594,29 unequal: No Solution
Moving to Node #0,4,2
Current State: 29:[25, 24], Operations: ['23+2=25', '20+4=24']
Exploring Operation: 25*24=600, Resulting Numbers: [600]
600,29 unequal: No Solution
Exploring Operation: 25+24=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Moving to Node #0,4,1
Current State: 29:[20, 29], Operations: ['23+2=25', '4+25=29']
Exploring Operation: 20*29=580, Resulting Numbers: [580]
580,29 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,29 unequal: No Solution
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Moving to Node #0,3,0
Current State: 29:[20, 29], Operations: ['23+4=27', '2+27=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,29 unequal: No Solution
Exploring Operation: 20*29=580, Resulting Numbers: [580]
580,29 unequal: No Solution
Moving to Node #0,3,1
Current State: 29:[27, 22], Operations: ['23+4=27', '20+2=22']
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Exploring Operation: 27*22=594, Resulting Numbers: [594]
594,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[20, 31], Operations: ['2*4=8', '23+8=31']
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,29 unequal: No Solution
Exploring Operation: 20+31=51, Resulting Numbers: [51]
51,29 unequal: No Solution
Exploring Operation: 20*31=620, Resulting Numbers: [620]
620,29 unequal: No Solution
Moving to Node #0,3,3
Current State: 29:[27, 40], Operations: ['23+4=27', '20*2=40']
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 27+40=67, Resulting Numbers: [67]
67,29 unequal: No Solution
Exploring Operation: 27*40=1080, Resulting Numbers: [1080]
1080,29 unequal: No Solution
Moving to Node #0,3,4
Current State: 29:[20, 25], Operations: ['23+4=27', '27-2=25']
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,29 unequal: No Solution
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,29 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Moving to Node #0,3,2
Current State: 29:[27, 18], Operations: ['23+4=27', '20-2=18']
Exploring Operation: 27*18=486, Resulting Numbers: [486]
486,29 unequal: No Solution
Exploring Operation: 27+18=45, Resulting Numbers: [45]
45,29 unequal: No Solution
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,29 unequal: No Solution
Moving to Node #0,4,4
Current State: 29:[25, 16], Operations: ['23+2=25', '20-4=16']
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,29 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,29 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,29 unequal: No Solution
Moving to Node #0,2,4
Current State: 29:[22, 19], Operations: ['20+2=22', '23-4=19']
Exploring Operation: 22+19=41, Resulting Numbers: [41]
41,29 unequal: No Solution
Exploring Operation: 22*19=418, Resulting Numbers: [418]
418,29 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Moving to Node #0,4,3
Current State: 29:[20, 21], Operations: ['23+2=25', '25-4=21']
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,29 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[23, 18], Operations: ['20+2=22', '22-4=18']
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,29 unequal: No Solution
Exploring Operation: 23*18=414, Resulting Numbers: [414]
414,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[20, 15], Operations: ['2*4=8', '23-8=15']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 20+15=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 20*15=300, Resulting Numbers: [300]
300,29 unequal: No Solution
Moving to Node #0,0,3
Current State: 29:[23, 12], Operations: ['2*4=8', '20-8=12']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,29 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,29 unequal: No Solution
Moving to Node #0,4,0
Current State: 29:[25, 5], Operations: ['23+2=25', '20/4=5']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 25*5=125, Resulting Numbers: [125]
125,29 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Moving to Node #0,0,4
Current State: 29:[8, 43], Operations: ['2*4=8', '20+23=43']
Exploring Operation: 8*43=344, Resulting Numbers: [344]
344,29 unequal: No Solution
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,29 unequal: No Solution
Moving to Node #0,2,1
Current State: 29:[4, 45], Operations: ['20+2=22', '23+22=45']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,29 unequal: No Solution
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,29 unequal: No Solution
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,29 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
42,
55,
9,
83
] | 87 | [
"55-42=13",
"83-9=74",
"13+74=87"
] | Current State: 87:[42, 55, 9, 83], Operations: []
Exploring Operation: 55-42=13, Resulting Numbers: [9, 83, 13]
Generated Node #2: [9, 83, 13] from Operation: 55-42=13
Current State: 87:[9, 83, 13], Operations: ['55-42=13']
Exploring Operation: 83-9=74, Resulting Numbers: [13, 74]
Generated Node #3: [13, 74] from Operation: 83-9=74
Current State: 87:[13, 74], Operations: ['55-42=13', '83-9=74']
Exploring Operation: 13+74=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[42, 55, 9, 83], Operations: []
Exploring Operation: 55-42=13, Resulting Numbers: [9, 83, 13]
Generated Node #0,0: 87:[9, 83, 13] Operation: 55-42=13
Exploring Operation: 42+55=97, Resulting Numbers: [9, 83, 97]
Generated Node #0,1: 87:[9, 83, 97] Operation: 42+55=97
Exploring Operation: 83-55=28, Resulting Numbers: [42, 9, 28]
Generated Node #0,2: 87:[42, 9, 28] Operation: 83-55=28
Moving to Node #0,0
Current State: 87:[9, 83, 13], Operations: ['55-42=13']
Exploring Operation: 9+13=22, Resulting Numbers: [83, 22]
Generated Node #0,0,0: 87:[83, 22] Operation: 9+13=22
Exploring Operation: 13-9=4, Resulting Numbers: [83, 4]
Generated Node #0,0,1: 87:[83, 4] Operation: 13-9=4
Exploring Operation: 9+83=92, Resulting Numbers: [13, 92]
Generated Node #0,0,2: 87:[13, 92] Operation: 9+83=92
Moving to Node #0,1
Current State: 87:[9, 83, 97], Operations: ['42+55=97']
Exploring Operation: 9+83=92, Resulting Numbers: [97, 92]
Generated Node #0,1,0: 87:[97, 92] Operation: 9+83=92
Exploring Operation: 97-83=14, Resulting Numbers: [9, 14]
Generated Node #0,1,1: 87:[9, 14] Operation: 97-83=14
Exploring Operation: 97-9=88, Resulting Numbers: [83, 88]
Generated Node #0,1,2: 87:[83, 88] Operation: 97-9=88
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[83, 88], Operations: ['42+55=97', '97-9=88']
Exploring Operation: 83+88=171, Resulting Numbers: [171]
171,87 unequal: No Solution
Exploring Operation: 83*88=7304, Resulting Numbers: [7304]
7304,87 unequal: No Solution
Exploring Operation: 88-83=5, Resulting Numbers: [5]
5,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[97, 92], Operations: ['42+55=97', '9+83=92']
Exploring Operation: 97+92=189, Resulting Numbers: [189]
189,87 unequal: No Solution
Exploring Operation: 97-92=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 97*92=8924, Resulting Numbers: [8924]
8924,87 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:[9, 14], Operations: ['42+55=97', '97-83=14']
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,87 unequal: No Solution
Exploring Operation: 9*14=126, Resulting Numbers: [126]
126,87 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:[42, 9, 28], Operations: ['83-55=28']
Exploring Operation: 9+28=37, Resulting Numbers: [42, 37]
Generated Node #0,2,0: 87:[42, 37] Operation: 9+28=37
Exploring Operation: 42-9=33, Resulting Numbers: [28, 33]
Generated Node #0,2,1: 87:[28, 33] Operation: 42-9=33
Exploring Operation: 42-28=14, Resulting Numbers: [9, 14]
Generated Node #0,2,2: 87:[9, 14] Operation: 42-28=14
Moving to Node #0,0,1
Current State: 87:[83, 4], Operations: ['55-42=13', '13-9=4']
Exploring Operation: 83*4=332, Resulting Numbers: [332]
332,87 unequal: No Solution
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[42, 55, 9, 83], Operations: []
Exploring Operation: 55-42=13, Resulting Numbers: [9, 83, 13]
Generated Node #0,0: 87:[9, 83, 13] Operation: 55-42=13
Moving to Node #0,0
Current State: 87:[9, 83, 13], Operations: ['55-42=13']
Exploring Operation: 13-9=4, Resulting Numbers: [83, 4]
Generated Node #0,0,1: 87:[83, 4] Operation: 13-9=4
Moving to Node #0,0,1
Current State: 87:[83, 4], Operations: ['55-42=13', '13-9=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
28,
2,
62,
90
] | 79 | [
"62-28=34",
"90/2=45",
"34+45=79"
] | Current State: 79:[28, 2, 62, 90], Operations: []
Exploring Operation: 62-28=34, Resulting Numbers: [2, 90, 34]
Generated Node #2: [2, 90, 34] from Operation: 62-28=34
Current State: 79:[2, 90, 34], Operations: ['62-28=34']
Exploring Operation: 90/2=45, Resulting Numbers: [34, 45]
Generated Node #3: [34, 45] from Operation: 90/2=45
Current State: 79:[34, 45], Operations: ['62-28=34', '90/2=45']
Exploring Operation: 34+45=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[28, 2, 62, 90], Operations: []
Exploring Operation: 28*2=56, Resulting Numbers: [62, 90, 56]
Generated Node #0,0: 79:[62, 90, 56] Operation: 28*2=56
Moving to Node #0,0
Current State: 79:[62, 90, 56], Operations: ['28*2=56']
Exploring Operation: 62+56=118, Resulting Numbers: [90, 118]
Generated Node #0,0,0: 79:[90, 118] Operation: 62+56=118
Moving to Node #0,0,0
Current State: 79:[90, 118], Operations: ['28*2=56', '62+56=118']
Exploring Operation: 118-90=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
56,
50,
48,
14
] | 68 | [
"56-50=6",
"48+14=62",
"6+62=68"
] | Current State: 68:[56, 50, 48, 14], Operations: []
Exploring Operation: 56-50=6, Resulting Numbers: [48, 14, 6]
Generated Node #2: [48, 14, 6] from Operation: 56-50=6
Current State: 68:[48, 14, 6], Operations: ['56-50=6']
Exploring Operation: 48+14=62, Resulting Numbers: [6, 62]
Generated Node #3: [6, 62] from Operation: 48+14=62
Current State: 68:[6, 62], Operations: ['56-50=6', '48+14=62']
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[56, 50, 48, 14], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [56, 14, 2]
Generated Node #0,0: 68:[56, 14, 2] Operation: 50-48=2
Exploring Operation: 56-50=6, Resulting Numbers: [48, 14, 6]
Generated Node #0,1: 68:[48, 14, 6] Operation: 56-50=6
Exploring Operation: 48-14=34, Resulting Numbers: [56, 50, 34]
Generated Node #0,2: 68:[56, 50, 34] Operation: 48-14=34
Exploring Operation: 56-48=8, Resulting Numbers: [50, 14, 8]
Generated Node #0,3: 68:[50, 14, 8] Operation: 56-48=8
Exploring Operation: 50-14=36, Resulting Numbers: [56, 48, 36]
Generated Node #0,4: 68:[56, 48, 36] Operation: 50-14=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[56, 14, 2], Operations: ['50-48=2']
Exploring Operation: 56/2=28, Resulting Numbers: [14, 28]
Generated Node #0,0,0: 68:[14, 28] Operation: 56/2=28
Exploring Operation: 56+2=58, Resulting Numbers: [14, 58]
Generated Node #0,0,1: 68:[14, 58] Operation: 56+2=58
Exploring Operation: 56+14=70, Resulting Numbers: [2, 70]
Generated Node #0,0,2: 68:[2, 70] Operation: 56+14=70
Exploring Operation: 56/14=4, Resulting Numbers: [2, 4]
Generated Node #0,0,3: 68:[2, 4] Operation: 56/14=4
Exploring Operation: 56-14=42, Resulting Numbers: [2, 42]
Generated Node #0,0,4: 68:[2, 42] Operation: 56-14=42
Moving to Node #0,0,3
Current State: 68:[2, 4], Operations: ['50-48=2', '56/14=4']
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,68 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,68 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Moving to Node #0,0,2
Current State: 68:[2, 70], Operations: ['50-48=2', '56+14=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[56, 50, 48, 14], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [56, 14, 2]
Generated Node #0,0: 68:[56, 14, 2] Operation: 50-48=2
Moving to Node #0,0
Current State: 68:[56, 14, 2], Operations: ['50-48=2']
Exploring Operation: 56+14=70, Resulting Numbers: [2, 70]
Generated Node #0,0,2: 68:[2, 70] Operation: 56+14=70
Moving to Node #0,0,2
Current State: 68:[2, 70], Operations: ['50-48=2', '56+14=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
77,
69,
24,
38
] | 54 | [
"77-69=8",
"24+38=62",
"62-8=54"
] | Current State: 54:[77, 69, 24, 38], Operations: []
Exploring Operation: 77-69=8, Resulting Numbers: [24, 38, 8]
Generated Node #2: [24, 38, 8] from Operation: 77-69=8
Current State: 54:[24, 38, 8], Operations: ['77-69=8']
Exploring Operation: 24+38=62, Resulting Numbers: [8, 62]
Generated Node #3: [8, 62] from Operation: 24+38=62
Current State: 54:[8, 62], Operations: ['77-69=8', '24+38=62']
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[77, 69, 24, 38], Operations: []
Exploring Operation: 77-69=8, Resulting Numbers: [24, 38, 8]
Generated Node #0,0: 54:[24, 38, 8] Operation: 77-69=8
Moving to Node #0,0
Current State: 54:[24, 38, 8], Operations: ['77-69=8']
Exploring Operation: 38-24=14, Resulting Numbers: [8, 14]
Generated Node #0,0,0: 54:[8, 14] Operation: 38-24=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[8, 14], Operations: ['77-69=8', '38-24=14']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,54 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 |
[
27,
37,
19,
2
] | 14 | [
"37-27=10",
"10/2=5",
"19-5=14"
] | Current State: 14:[27, 37, 19, 2], Operations: []
Exploring Operation: 37-27=10, Resulting Numbers: [19, 2, 10]
Generated Node #2: [19, 2, 10] from Operation: 37-27=10
Current State: 14:[19, 2, 10], Operations: ['37-27=10']
Exploring Operation: 10/2=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 10/2=5
Current State: 14:[19, 5], Operations: ['37-27=10', '10/2=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[27, 37, 19, 2], Operations: []
Exploring Operation: 37-27=10, Resulting Numbers: [19, 2, 10]
Generated Node #0,0: 14:[19, 2, 10] Operation: 37-27=10
Exploring Operation: 37-19=18, Resulting Numbers: [27, 2, 18]
Generated Node #0,1: 14:[27, 2, 18] Operation: 37-19=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[19, 2, 10], Operations: ['37-27=10']
Exploring Operation: 19-2=17, Resulting Numbers: [10, 17]
Generated Node #0,0,0: 14:[10, 17] Operation: 19-2=17
Exploring Operation: 19-10=9, Resulting Numbers: [2, 9]
Generated Node #0,0,1: 14:[2, 9] Operation: 19-10=9
Moving to Node #0,0,1
Current State: 14:[2, 9], Operations: ['37-27=10', '19-10=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[10, 17], Operations: ['37-27=10', '19-2=17']
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,14 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,14 unequal: No Solution
No 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: 14:[27, 2, 18], Operations: ['37-19=18']
Exploring Operation: 27-18=9, Resulting Numbers: [2, 9]
Generated Node #0,1,0: 14:[2, 9] Operation: 27-18=9
Exploring Operation: 27-2=25, Resulting Numbers: [18, 25]
Generated Node #0,1,1: 14:[18, 25] Operation: 27-2=25
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[2, 9], Operations: ['37-19=18', '27-18=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No 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: 14:[18, 25], Operations: ['37-19=18', '27-2=25']
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 18+25=43, Resulting Numbers: [43]
43,14 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 |
[
54,
72,
19,
11
] | 26 | [
"72-54=18",
"19-11=8",
"18+8=26"
] | Current State: 26:[54, 72, 19, 11], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [19, 11, 18]
Generated Node #2: [19, 11, 18] from Operation: 72-54=18
Current State: 26:[19, 11, 18], Operations: ['72-54=18']
Exploring Operation: 19-11=8, Resulting Numbers: [18, 8]
Generated Node #3: [18, 8] from Operation: 19-11=8
Current State: 26:[18, 8], Operations: ['72-54=18', '19-11=8']
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[54, 72, 19, 11], Operations: []
Exploring Operation: 54-19=35, Resulting Numbers: [72, 11, 35]
Generated Node #0,0: 26:[72, 11, 35] Operation: 54-19=35
Exploring Operation: 72-54=18, Resulting Numbers: [19, 11, 18]
Generated Node #0,1: 26:[19, 11, 18] Operation: 72-54=18
Exploring Operation: 72-19=53, Resulting Numbers: [54, 11, 53]
Generated Node #0,2: 26:[54, 11, 53] Operation: 72-19=53
Moving to Node #0,1
Current State: 26:[19, 11, 18], Operations: ['72-54=18']
Exploring Operation: 19-18=1, Resulting Numbers: [11, 1]
Generated Node #0,1,0: 26:[11, 1] Operation: 19-18=1
Exploring Operation: 11+18=29, Resulting Numbers: [19, 29]
Generated Node #0,1,1: 26:[19, 29] Operation: 11+18=29
Exploring Operation: 19+11=30, Resulting Numbers: [18, 30]
Generated Node #0,1,2: 26:[18, 30] Operation: 19+11=30
Moving to Node #0,0
Current State: 26:[72, 11, 35], Operations: ['54-19=35']
Exploring Operation: 35-11=24, Resulting Numbers: [72, 24]
Generated Node #0,0,0: 26:[72, 24] Operation: 35-11=24
Exploring Operation: 72-35=37, Resulting Numbers: [11, 37]
Generated Node #0,0,1: 26:[11, 37] Operation: 72-35=37
Exploring Operation: 72-11=61, Resulting Numbers: [35, 61]
Generated Node #0,0,2: 26:[35, 61] Operation: 72-11=61
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 26:[11, 37], Operations: ['54-19=35', '72-35=37']
Exploring Operation: 11*37=407, Resulting Numbers: [407]
407,26 unequal: No Solution
Exploring Operation: 11+37=48, Resulting Numbers: [48]
48,26 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[54, 72, 19, 11], Operations: []
Exploring Operation: 54-19=35, Resulting Numbers: [72, 11, 35]
Generated Node #0,0: 26:[72, 11, 35] Operation: 54-19=35
Moving to Node #0,0
Current State: 26:[72, 11, 35], Operations: ['54-19=35']
Exploring Operation: 72-35=37, Resulting Numbers: [11, 37]
Generated Node #0,0,1: 26:[11, 37] Operation: 72-35=37
Moving to Node #0,0,1
Current State: 26:[11, 37], Operations: ['54-19=35', '72-35=37']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
42,
6,
92,
18
] | 52 | [
"42-18=24",
"6*24=144",
"144-92=52"
] | Current State: 52:[42, 6, 92, 18], Operations: []
Exploring Operation: 42-18=24, Resulting Numbers: [6, 92, 24]
Generated Node #2: [6, 92, 24] from Operation: 42-18=24
Current State: 52:[6, 92, 24], Operations: ['42-18=24']
Exploring Operation: 6*24=144, Resulting Numbers: [92, 144]
Generated Node #3: [92, 144] from Operation: 6*24=144
Current State: 52:[92, 144], Operations: ['42-18=24', '6*24=144']
Exploring Operation: 144-92=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[42, 6, 92, 18], Operations: []
Exploring Operation: 92-42=50, Resulting Numbers: [6, 18, 50]
Generated Node #0,0: 52:[6, 18, 50] Operation: 92-42=50
Moving to Node #0,0
Current State: 52:[6, 18, 50], Operations: ['92-42=50']
Exploring Operation: 18-6=12, Resulting Numbers: [50, 12]
Generated Node #0,0,0: 52:[50, 12] Operation: 18-6=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[50, 12], Operations: ['92-42=50', '18-6=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,52 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 |
[
48,
68,
46,
7
] | 54 | [
"48-46=2",
"7*2=14",
"68-14=54"
] | Current State: 54:[48, 68, 46, 7], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [68, 7, 2]
Generated Node #2: [68, 7, 2] from Operation: 48-46=2
Current State: 54:[68, 7, 2], Operations: ['48-46=2']
Exploring Operation: 7*2=14, Resulting Numbers: [68, 14]
Generated Node #3: [68, 14] from Operation: 7*2=14
Current State: 54:[68, 14], Operations: ['48-46=2', '7*2=14']
Exploring Operation: 68-14=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[48, 68, 46, 7], Operations: []
Exploring Operation: 68-48=20, Resulting Numbers: [46, 7, 20]
Generated Node #0,0: 54:[46, 7, 20] Operation: 68-48=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[46, 7, 20], Operations: ['68-48=20']
Exploring Operation: 46-20=26, Resulting Numbers: [7, 26]
Generated Node #0,0,0: 54:[7, 26] Operation: 46-20=26
Moving to Node #0,0,0
Current State: 54:[7, 26], Operations: ['68-48=20', '46-20=26']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,54 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 |
[
17,
80,
64,
84
] | 21 | [
"84-64=20",
"80/20=4",
"17+4=21"
] | Current State: 21:[17, 80, 64, 84], Operations: []
Exploring Operation: 84-64=20, Resulting Numbers: [17, 80, 20]
Generated Node #2: [17, 80, 20] from Operation: 84-64=20
Current State: 21:[17, 80, 20], Operations: ['84-64=20']
Exploring Operation: 80/20=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 80/20=4
Current State: 21:[17, 4], Operations: ['84-64=20', '80/20=4']
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[17, 80, 64, 84], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [17, 64, 4]
Generated Node #0,0: 21:[17, 64, 4] Operation: 84-80=4
Exploring Operation: 80-17=63, Resulting Numbers: [64, 84, 63]
Generated Node #0,1: 21:[64, 84, 63] Operation: 80-17=63
Exploring Operation: 84-64=20, Resulting Numbers: [17, 80, 20]
Generated Node #0,2: 21:[17, 80, 20] Operation: 84-64=20
Exploring Operation: 80-64=16, Resulting Numbers: [17, 84, 16]
Generated Node #0,3: 21:[17, 84, 16] Operation: 80-64=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[17, 64, 4], Operations: ['84-80=4']
Exploring Operation: 64-17=47, Resulting Numbers: [4, 47]
Generated Node #0,0,0: 21:[4, 47] Operation: 64-17=47
Exploring Operation: 17+4=21, Resulting Numbers: [64, 21]
Generated Node #0,0,1: 21:[64, 21] Operation: 17+4=21
Exploring Operation: 64-4=60, Resulting Numbers: [17, 60]
Generated Node #0,0,2: 21:[17, 60] Operation: 64-4=60
Exploring Operation: 64/4=16, Resulting Numbers: [17, 16]
Generated Node #0,0,3: 21:[17, 16] Operation: 64/4=16
Moving to Node #0,0,3
Current State: 21:[17, 16], Operations: ['84-80=4', '64/4=16']
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,21 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,21 unequal: No Solution
Moving to Node #0,0,0
Current State: 21:[4, 47], Operations: ['84-80=4', '64-17=47']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,21 unequal: No Solution
Exploring Operation: 4*47=188, Resulting Numbers: [188]
188,21 unequal: No Solution
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,21 unequal: No Solution
Moving to Node #0,0,2
Current State: 21:[17, 60], Operations: ['84-80=4', '64-4=60']
Exploring Operation: 17+60=77, Resulting Numbers: [77]
77,21 unequal: No Solution
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,21 unequal: No Solution
Exploring Operation: 17*60=1020, Resulting Numbers: [1020]
1020,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[64, 21], Operations: ['84-80=4', '17+4=21']
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,21 unequal: No Solution
Exploring Operation: 64+21=85, Resulting Numbers: [85]
85,21 unequal: No Solution
Exploring Operation: 64*21=1344, Resulting Numbers: [1344]
1344,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[17, 80, 20], Operations: ['84-64=20']
Exploring Operation: 80-20=60, Resulting Numbers: [17, 60]
Generated Node #0,2,0: 21:[17, 60] Operation: 80-20=60
Exploring Operation: 80-17=63, Resulting Numbers: [20, 63]
Generated Node #0,2,1: 21:[20, 63] Operation: 80-17=63
Exploring Operation: 80/20=4, Resulting Numbers: [17, 4]
Generated Node #0,2,2: 21:[17, 4] Operation: 80/20=4
Exploring Operation: 20-17=3, Resulting Numbers: [80, 3]
Generated Node #0,2,3: 21:[80, 3] Operation: 20-17=3
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 21:[17, 4], Operations: ['84-64=20', '80/20=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,21 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[17, 80, 64, 84], Operations: []
Exploring Operation: 84-64=20, Resulting Numbers: [17, 80, 20]
Generated Node #0,2: 21:[17, 80, 20] Operation: 84-64=20
Moving to Node #0,2
Current State: 21:[17, 80, 20], Operations: ['84-64=20']
Exploring Operation: 80/20=4, Resulting Numbers: [17, 4]
Generated Node #0,2,2: 21:[17, 4] Operation: 80/20=4
Moving to Node #0,2,2
Current State: 21:[17, 4], Operations: ['84-64=20', '80/20=4']
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_4 | sum_heuristic |
[
3,
6,
92,
43
] | 45 | [
"6-3=3",
"92+43=135",
"135/3=45"
] | Current State: 45:[3, 6, 92, 43], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [92, 43, 3]
Generated Node #2: [92, 43, 3] from Operation: 6-3=3
Current State: 45:[92, 43, 3], Operations: ['6-3=3']
Exploring Operation: 92+43=135, Resulting Numbers: [3, 135]
Generated Node #3: [3, 135] from Operation: 92+43=135
Current State: 45:[3, 135], Operations: ['6-3=3', '92+43=135']
Exploring Operation: 135/3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[3, 6, 92, 43], Operations: []
Exploring Operation: 3+6=9, Resulting Numbers: [92, 43, 9]
Generated Node #0,0: 45:[92, 43, 9] Operation: 3+6=9
Exploring Operation: 92-3=89, Resulting Numbers: [6, 43, 89]
Generated Node #0,1: 45:[6, 43, 89] Operation: 92-3=89
Exploring Operation: 92-6=86, Resulting Numbers: [3, 43, 86]
Generated Node #0,2: 45:[3, 43, 86] Operation: 92-6=86
Exploring Operation: 92-43=49, Resulting Numbers: [3, 6, 49]
Generated Node #0,3: 45:[3, 6, 49] Operation: 92-43=49
Moving to Node #0,3
Current State: 45:[3, 6, 49], Operations: ['92-43=49']
Exploring Operation: 3+6=9, Resulting Numbers: [49, 9]
Generated Node #0,3,0: 45:[49, 9] Operation: 3+6=9
Exploring Operation: 6-3=3, Resulting Numbers: [49, 3]
Generated Node #0,3,1: 45:[49, 3] Operation: 6-3=3
Exploring Operation: 49-6=43, Resulting Numbers: [3, 43]
Generated Node #0,3,2: 45:[3, 43] Operation: 49-6=43
Exploring Operation: 49-3=46, Resulting Numbers: [6, 46]
Generated Node #0,3,3: 45:[6, 46] Operation: 49-3=46
Moving to Node #0,2
Current State: 45:[3, 43, 86], Operations: ['92-6=86']
Exploring Operation: 3+43=46, Resulting Numbers: [86, 46]
Generated Node #0,2,0: 45:[86, 46] Operation: 3+43=46
Exploring Operation: 86-43=43, Resulting Numbers: [3, 43]
Generated Node #0,2,1: 45:[3, 43] Operation: 86-43=43
Exploring Operation: 86/43=2, Resulting Numbers: [3, 2]
Generated Node #0,2,2: 45:[3, 2] Operation: 86/43=2
Exploring Operation: 86-3=83, Resulting Numbers: [43, 83]
Generated Node #0,2,3: 45:[43, 83] Operation: 86-3=83
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 45:[3, 2], Operations: ['92-6=86', '86/43=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,45 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 #0,2,1
Current State: 45:[3, 43], Operations: ['92-6=86', '86-43=43']
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 3*43=129, Resulting Numbers: [129]
129,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 45:[43, 83], Operations: ['92-6=86', '86-3=83']
Exploring Operation: 43*83=3569, Resulting Numbers: [3569]
3569,45 unequal: No Solution
Exploring Operation: 83-43=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 43+83=126, Resulting Numbers: [126]
126,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 45:[86, 46], Operations: ['92-6=86', '3+43=46']
Exploring Operation: 86+46=132, Resulting Numbers: [132]
132,45 unequal: No Solution
Exploring Operation: 86*46=3956, Resulting Numbers: [3956]
3956,45 unequal: No Solution
Exploring Operation: 86-46=40, Resulting Numbers: [40]
40,45 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: 45:[6, 43, 89], Operations: ['92-3=89']
Exploring Operation: 89-43=46, Resulting Numbers: [6, 46]
Generated Node #0,1,0: 45:[6, 46] Operation: 89-43=46
Exploring Operation: 6+43=49, Resulting Numbers: [89, 49]
Generated Node #0,1,1: 45:[89, 49] Operation: 6+43=49
Exploring Operation: 43-6=37, Resulting Numbers: [89, 37]
Generated Node #0,1,2: 45:[89, 37] Operation: 43-6=37
Exploring Operation: 89-6=83, Resulting Numbers: [43, 83]
Generated Node #0,1,3: 45:[43, 83] Operation: 89-6=83
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 45:[6, 46], Operations: ['92-3=89', '89-43=46']
Exploring Operation: 6*46=276, Resulting Numbers: [276]
276,45 unequal: No Solution
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 6+46=52, Resulting Numbers: [52]
52,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 45:[43, 83], Operations: ['92-3=89', '89-6=83']
Exploring Operation: 43+83=126, Resulting Numbers: [126]
126,45 unequal: No Solution
Exploring Operation: 43*83=3569, Resulting Numbers: [3569]
3569,45 unequal: No Solution
Exploring Operation: 83-43=40, Resulting Numbers: [40]
40,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[89, 49], Operations: ['92-3=89', '6+43=49']
Exploring Operation: 89-49=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 89*49=4361, Resulting Numbers: [4361]
4361,45 unequal: No Solution
Exploring Operation: 89+49=138, Resulting Numbers: [138]
138,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[89, 37], Operations: ['92-3=89', '43-6=37']
Exploring Operation: 89+37=126, Resulting Numbers: [126]
126,45 unequal: No Solution
Exploring Operation: 89*37=3293, Resulting Numbers: [3293]
3293,45 unequal: No Solution
Exploring Operation: 89-37=52, Resulting Numbers: [52]
52,45 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: 45:[92, 43, 9], Operations: ['3+6=9']
Exploring Operation: 92-9=83, Resulting Numbers: [43, 83]
Generated Node #0,0,0: 45:[43, 83] Operation: 92-9=83
Exploring Operation: 92-43=49, Resulting Numbers: [9, 49]
Generated Node #0,0,1: 45:[9, 49] Operation: 92-43=49
Exploring Operation: 43+9=52, Resulting Numbers: [92, 52]
Generated Node #0,0,2: 45:[92, 52] Operation: 43+9=52
Exploring Operation: 92+9=101, Resulting Numbers: [43, 101]
Generated Node #0,0,3: 45:[43, 101] Operation: 92+9=101
Moving to Node #0,3,2
Current State: 45:[3, 43], Operations: ['92-43=49', '49-6=43']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 3*43=129, Resulting Numbers: [129]
129,45 unequal: No Solution
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[6, 46], Operations: ['92-43=49', '49-3=46']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 6*46=276, Resulting Numbers: [276]
276,45 unequal: No Solution
Exploring Operation: 6+46=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Moving to Node #0,3,0
Current State: 45:[49, 9], Operations: ['92-43=49', '3+6=9']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Exploring Operation: 49*9=441, Resulting Numbers: [441]
441,45 unequal: No Solution
Moving to Node #0,0,1
Current State: 45:[9, 49], Operations: ['3+6=9', '92-43=49']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 9*49=441, Resulting Numbers: [441]
441,45 unequal: No Solution
Exploring Operation: 9+49=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Moving to Node #0,3,1
Current State: 45:[49, 3], Operations: ['92-43=49', '6-3=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 49*3=147, Resulting Numbers: [147]
147,45 unequal: No Solution
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[43, 83], Operations: ['3+6=9', '92-9=83']
Exploring Operation: 43*83=3569, Resulting Numbers: [3569]
3569,45 unequal: No Solution
Exploring Operation: 43+83=126, Resulting Numbers: [126]
126,45 unequal: No Solution
Exploring Operation: 83-43=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Moving to Node #0,0,2
Current State: 45:[92, 52], Operations: ['3+6=9', '43+9=52']
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 92*52=4784, Resulting Numbers: [4784]
4784,45 unequal: No Solution
Exploring Operation: 92+52=144, Resulting Numbers: [144]
144,45 unequal: No Solution
Moving to Node #0,0,3
Current State: 45:[43, 101], Operations: ['3+6=9', '92+9=101']
Exploring Operation: 43*101=4343, Resulting Numbers: [4343]
4343,45 unequal: No Solution
Exploring Operation: 43+101=144, Resulting Numbers: [144]
144,45 unequal: No Solution
Exploring Operation: 101-43=58, Resulting Numbers: [58]
58,45 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
16,
16,
8,
8
] | 19 | [
"16+8=24",
"24/8=3",
"16+3=19"
] | Current State: 19:[16, 16, 8, 8], Operations: []
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,19 equal: Goal Reached
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,19 equal: Goal Reached
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[16, 16, 8, 8], Operations: []
Exploring Operation: 8+8=16, Resulting Numbers: [16, 16, 16]
Generated Node #0,0: 19:[16, 16, 16] Operation: 8+8=16
Moving to Node #0,0
Current State: 19:[16, 16, 16], Operations: ['8+8=16']
Exploring Operation: 16+16=32, Resulting Numbers: [16, 32]
Generated Node #0,0,0: 19:[16, 32] Operation: 16+16=32
Moving to Node #0,0,0
Current State: 19:[16, 32], Operations: ['8+8=16', '16+16=32']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,19 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
62,
68,
49,
2
] | 92 | [
"68-62=6",
"49*2=98",
"98-6=92"
] | Current State: 92:[62, 68, 49, 2], Operations: []
Exploring Operation: 68-62=6, Resulting Numbers: [49, 2, 6]
Generated Node #2: [49, 2, 6] from Operation: 68-62=6
Current State: 92:[49, 2, 6], Operations: ['68-62=6']
Exploring Operation: 49*2=98, Resulting Numbers: [6, 98]
Generated Node #3: [6, 98] from Operation: 49*2=98
Current State: 92:[6, 98], Operations: ['68-62=6', '49*2=98']
Exploring Operation: 98-6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[62, 68, 49, 2], Operations: []
Exploring Operation: 68-49=19, Resulting Numbers: [62, 2, 19]
Generated Node #0,0: 92:[62, 2, 19] Operation: 68-49=19
Exploring Operation: 68-62=6, Resulting Numbers: [49, 2, 6]
Generated Node #0,1: 92:[49, 2, 6] Operation: 68-62=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[49, 2, 6], Operations: ['68-62=6']
Exploring Operation: 49-2=47, Resulting Numbers: [6, 47]
Generated Node #0,1,0: 92:[6, 47] Operation: 49-2=47
Exploring Operation: 49-6=43, Resulting Numbers: [2, 43]
Generated Node #0,1,1: 92:[2, 43] Operation: 49-6=43
Moving to Node #0,1,0
Current State: 92:[6, 47], Operations: ['68-62=6', '49-2=47']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[2, 43], Operations: ['68-62=6', '49-6=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[62, 2, 19], Operations: ['68-49=19']
Exploring Operation: 62-19=43, Resulting Numbers: [2, 43]
Generated Node #0,0,0: 92:[2, 43] Operation: 62-19=43
Exploring Operation: 62+19=81, Resulting Numbers: [2, 81]
Generated Node #0,0,1: 92:[2, 81] Operation: 62+19=81
Moving to Node #0,0,0
Current State: 92:[2, 43], Operations: ['68-49=19', '62-19=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[2, 81], Operations: ['68-49=19', '62+19=81']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,92 unequal: No Solution
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
12,
43,
28,
68
] | 71 | [
"43-12=31",
"68-28=40",
"31+40=71"
] | Current State: 71:[12, 43, 28, 68], Operations: []
Exploring Operation: 43-12=31, Resulting Numbers: [28, 68, 31]
Generated Node #2: [28, 68, 31] from Operation: 43-12=31
Current State: 71:[28, 68, 31], Operations: ['43-12=31']
Exploring Operation: 68-28=40, Resulting Numbers: [31, 40]
Generated Node #3: [31, 40] from Operation: 68-28=40
Current State: 71:[31, 40], Operations: ['43-12=31', '68-28=40']
Exploring Operation: 31+40=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[12, 43, 28, 68], Operations: []
Exploring Operation: 12+28=40, Resulting Numbers: [43, 68, 40]
Generated Node #0,0: 71:[43, 68, 40] Operation: 12+28=40
Exploring Operation: 12+43=55, Resulting Numbers: [28, 68, 55]
Generated Node #0,1: 71:[28, 68, 55] Operation: 12+43=55
Moving to Node #0,0
Current State: 71:[43, 68, 40], Operations: ['12+28=40']
Exploring Operation: 43+40=83, Resulting Numbers: [68, 83]
Generated Node #0,0,0: 71:[68, 83] Operation: 43+40=83
Exploring Operation: 68+40=108, Resulting Numbers: [43, 108]
Generated Node #0,0,1: 71:[43, 108] Operation: 68+40=108
Moving to Node #0,1
Current State: 71:[28, 68, 55], Operations: ['12+43=55']
Exploring Operation: 28+68=96, Resulting Numbers: [55, 96]
Generated Node #0,1,0: 71:[55, 96] Operation: 28+68=96
Exploring Operation: 28+55=83, Resulting Numbers: [68, 83]
Generated Node #0,1,1: 71:[68, 83] Operation: 28+55=83
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[68, 83], Operations: ['12+43=55', '28+55=83']
Exploring Operation: 68+83=151, Resulting Numbers: [151]
151,71 unequal: No Solution
Exploring Operation: 83-68=15, Resulting Numbers: [15]
15,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[55, 96], Operations: ['12+43=55', '28+68=96']
Exploring Operation: 96-55=41, Resulting Numbers: [41]
41,71 unequal: No Solution
Exploring Operation: 55+96=151, Resulting Numbers: [151]
151,71 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: 71:[68, 83], Operations: ['12+28=40', '43+40=83']
Exploring Operation: 68+83=151, Resulting Numbers: [151]
151,71 unequal: No Solution
Exploring Operation: 83-68=15, Resulting Numbers: [15]
15,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[43, 108], Operations: ['12+28=40', '68+40=108']
Exploring Operation: 43+108=151, Resulting Numbers: [151]
151,71 unequal: No Solution
Exploring Operation: 108-43=65, Resulting Numbers: [65]
65,71 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
5,
42,
76,
2
] | 44 | [
"5*2=10",
"76-42=34",
"10+34=44"
] | Current State: 44:[5, 42, 76, 2], Operations: []
Exploring Operation: 5*2=10, Resulting Numbers: [42, 76, 10]
Generated Node #2: [42, 76, 10] from Operation: 5*2=10
Current State: 44:[42, 76, 10], Operations: ['5*2=10']
Exploring Operation: 76-42=34, Resulting Numbers: [10, 34]
Generated Node #3: [10, 34] from Operation: 76-42=34
Current State: 44:[10, 34], Operations: ['5*2=10', '76-42=34']
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[5, 42, 76, 2], Operations: []
Exploring Operation: 76-42=34, Resulting Numbers: [5, 2, 34]
Generated Node #0,0: 44:[5, 2, 34] Operation: 76-42=34
Exploring Operation: 76-5=71, Resulting Numbers: [42, 2, 71]
Generated Node #0,1: 44:[42, 2, 71] Operation: 76-5=71
Exploring Operation: 76/2=38, Resulting Numbers: [5, 42, 38]
Generated Node #0,2: 44:[5, 42, 38] Operation: 76/2=38
Exploring Operation: 42+2=44, Resulting Numbers: [5, 76, 44]
Generated Node #0,3: 44:[5, 76, 44] Operation: 42+2=44
Moving to Node #0,2
Current State: 44:[5, 42, 38], Operations: ['76/2=38']
Exploring Operation: 42-5=37, Resulting Numbers: [38, 37]
Generated Node #0,2,0: 44:[38, 37] Operation: 42-5=37
Exploring Operation: 42-38=4, Resulting Numbers: [5, 4]
Generated Node #0,2,1: 44:[5, 4] Operation: 42-38=4
Exploring Operation: 5+42=47, Resulting Numbers: [38, 47]
Generated Node #0,2,2: 44:[38, 47] Operation: 5+42=47
Exploring Operation: 5+38=43, Resulting Numbers: [42, 43]
Generated Node #0,2,3: 44:[42, 43] Operation: 5+38=43
Moving to Node #0,0
Current State: 44:[5, 2, 34], Operations: ['76-42=34']
Exploring Operation: 2+34=36, Resulting Numbers: [5, 36]
Generated Node #0,0,0: 44:[5, 36] Operation: 2+34=36
Exploring Operation: 34/2=17, Resulting Numbers: [5, 17]
Generated Node #0,0,1: 44:[5, 17] Operation: 34/2=17
Exploring Operation: 34-5=29, Resulting Numbers: [2, 29]
Generated Node #0,0,2: 44:[2, 29] Operation: 34-5=29
Exploring Operation: 5+34=39, Resulting Numbers: [2, 39]
Generated Node #0,0,3: 44:[2, 39] Operation: 5+34=39
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 44:[2, 39], Operations: ['76-42=34', '5+34=39']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,44 unequal: No Solution
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,44 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 44:[5, 17], Operations: ['76-42=34', '34/2=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,44 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 44:[2, 29], Operations: ['76-42=34', '34-5=29']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,44 unequal: No Solution
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,44 unequal: No Solution
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[5, 36], Operations: ['76-42=34', '2+34=36']
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,44 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,44 unequal: No Solution
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 44:[42, 2, 71], Operations: ['76-5=71']
Exploring Operation: 42+2=44, Resulting Numbers: [71, 44]
Generated Node #0,1,0: 44:[71, 44] Operation: 42+2=44
Exploring Operation: 42/2=21, Resulting Numbers: [71, 21]
Generated Node #0,1,1: 44:[71, 21] Operation: 42/2=21
Exploring Operation: 71-42=29, Resulting Numbers: [2, 29]
Generated Node #0,1,2: 44:[2, 29] Operation: 71-42=29
Exploring Operation: 71-2=69, Resulting Numbers: [42, 69]
Generated Node #0,1,3: 44:[42, 69] Operation: 71-2=69
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 44:[2, 29], Operations: ['76-5=71', '71-42=29']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,44 unequal: No Solution
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,44 unequal: No Solution
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 44:[71, 44], Operations: ['76-5=71', '42+2=44']
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,44 unequal: No Solution
Exploring Operation: 71+44=115, Resulting Numbers: [115]
115,44 unequal: No Solution
Exploring Operation: 71*44=3124, Resulting Numbers: [3124]
3124,44 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 #0,1,3
Current State: 44:[42, 69], Operations: ['76-5=71', '71-2=69']
Exploring Operation: 42*69=2898, Resulting Numbers: [2898]
2898,44 unequal: No Solution
Exploring Operation: 69-42=27, Resulting Numbers: [27]
27,44 unequal: No Solution
Exploring Operation: 42+69=111, Resulting Numbers: [111]
111,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[71, 21], Operations: ['76-5=71', '42/2=21']
Exploring Operation: 71+21=92, Resulting Numbers: [92]
92,44 unequal: No Solution
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,44 unequal: No Solution
Exploring Operation: 71*21=1491, Resulting Numbers: [1491]
1491,44 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: 44:[5, 76, 44], Operations: ['42+2=44']
Exploring Operation: 76-44=32, Resulting Numbers: [5, 32]
Generated Node #0,3,0: 44:[5, 32] Operation: 76-44=32
Exploring Operation: 5+44=49, Resulting Numbers: [76, 49]
Generated Node #0,3,1: 44:[76, 49] Operation: 5+44=49
Exploring Operation: 5+76=81, Resulting Numbers: [44, 81]
Generated Node #0,3,2: 44:[44, 81] Operation: 5+76=81
Exploring Operation: 76-5=71, Resulting Numbers: [44, 71]
Generated Node #0,3,3: 44:[44, 71] Operation: 76-5=71
Moving to Node #0,2,1
Current State: 44:[5, 4], Operations: ['76/2=38', '42-38=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,44 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Moving to Node #0,2,3
Current State: 44:[42, 43], Operations: ['76/2=38', '5+38=43']
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Exploring Operation: 42+43=85, Resulting Numbers: [85]
85,44 unequal: No Solution
Exploring Operation: 42*43=1806, Resulting Numbers: [1806]
1806,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[38, 47], Operations: ['76/2=38', '5+42=47']
Exploring Operation: 47-38=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 38*47=1786, Resulting Numbers: [1786]
1786,44 unequal: No Solution
Exploring Operation: 38+47=85, Resulting Numbers: [85]
85,44 unequal: No Solution
Moving to Node #0,3,0
Current State: 44:[5, 32], Operations: ['42+2=44', '76-44=32']
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,44 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,44 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[38, 37], Operations: ['76/2=38', '42-5=37']
Exploring Operation: 38-37=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Exploring Operation: 38+37=75, Resulting Numbers: [75]
75,44 unequal: No Solution
Exploring Operation: 38*37=1406, Resulting Numbers: [1406]
1406,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[44, 71], Operations: ['42+2=44', '76-5=71']
Exploring Operation: 44*71=3124, Resulting Numbers: [3124]
3124,44 unequal: No Solution
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,44 unequal: No Solution
Exploring Operation: 44+71=115, Resulting Numbers: [115]
115,44 unequal: No Solution
Moving to Node #0,3,1
Current State: 44:[76, 49], Operations: ['42+2=44', '5+44=49']
Exploring Operation: 76*49=3724, Resulting Numbers: [3724]
3724,44 unequal: No Solution
Exploring Operation: 76-49=27, Resulting Numbers: [27]
27,44 unequal: No Solution
Exploring Operation: 76+49=125, Resulting Numbers: [125]
125,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[44, 81], Operations: ['42+2=44', '5+76=81']
Exploring Operation: 44+81=125, Resulting Numbers: [125]
125,44 unequal: No Solution
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,44 unequal: No Solution
Exploring Operation: 44*81=3564, Resulting Numbers: [3564]
3564,44 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
28,
76,
77,
52
] | 81 | [
"76-28=48",
"77+52=129",
"129-48=81"
] | Current State: 81:[28, 76, 77, 52], Operations: []
Exploring Operation: 76-28=48, Resulting Numbers: [77, 52, 48]
Generated Node #2: [77, 52, 48] from Operation: 76-28=48
Current State: 81:[77, 52, 48], Operations: ['76-28=48']
Exploring Operation: 77+52=129, Resulting Numbers: [48, 129]
Generated Node #3: [48, 129] from Operation: 77+52=129
Current State: 81:[48, 129], Operations: ['76-28=48', '77+52=129']
Exploring Operation: 129-48=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[28, 76, 77, 52], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [28, 77, 24]
Generated Node #0,0: 81:[28, 77, 24] Operation: 76-52=24
Exploring Operation: 28+52=80, Resulting Numbers: [76, 77, 80]
Generated Node #0,1: 81:[76, 77, 80] Operation: 28+52=80
Exploring Operation: 77-52=25, Resulting Numbers: [28, 76, 25]
Generated Node #0,2: 81:[28, 76, 25] Operation: 77-52=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[28, 77, 24], Operations: ['76-52=24']
Exploring Operation: 77-28=49, Resulting Numbers: [24, 49]
Generated Node #0,0,0: 81:[24, 49] Operation: 77-28=49
Exploring Operation: 77+24=101, Resulting Numbers: [28, 101]
Generated Node #0,0,1: 81:[28, 101] Operation: 77+24=101
Exploring Operation: 28-24=4, Resulting Numbers: [77, 4]
Generated Node #0,0,2: 81:[77, 4] Operation: 28-24=4
Moving to Node #0,0,2
Current State: 81:[77, 4], Operations: ['76-52=24', '28-24=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[28, 76, 77, 52], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [28, 77, 24]
Generated Node #0,0: 81:[28, 77, 24] Operation: 76-52=24
Moving to Node #0,0
Current State: 81:[28, 77, 24], Operations: ['76-52=24']
Exploring Operation: 28-24=4, Resulting Numbers: [77, 4]
Generated Node #0,0,2: 81:[77, 4] Operation: 28-24=4
Moving to Node #0,0,2
Current State: 81:[77, 4], Operations: ['76-52=24', '28-24=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
42,
59,
72,
11
] | 28 | [
"59-11=48",
"42*48=2016",
"2016/72=28"
] | Current State: 28:[42, 59, 72, 11], Operations: []
Exploring Operation: 59-11=48, Resulting Numbers: [42, 72, 48]
Generated Node #2: [42, 72, 48] from Operation: 59-11=48
Current State: 28:[42, 72, 48], Operations: ['59-11=48']
Exploring Operation: 42*48=2016, Resulting Numbers: [72, 2016]
Generated Node #3: [72, 2016] from Operation: 42*48=2016
Current State: 28:[72, 2016], Operations: ['59-11=48', '42*48=2016']
Exploring Operation: 2016/72=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[42, 59, 72, 11], Operations: []
Exploring Operation: 72-42=30, Resulting Numbers: [59, 11, 30]
Generated Node #0,0: 28:[59, 11, 30] Operation: 72-42=30
Exploring Operation: 72-59=13, Resulting Numbers: [42, 11, 13]
Generated Node #0,1: 28:[42, 11, 13] Operation: 72-59=13
Moving to Node #0,1
Current State: 28:[42, 11, 13], Operations: ['72-59=13']
Exploring Operation: 42-11=31, Resulting Numbers: [13, 31]
Generated Node #0,1,0: 28:[13, 31] Operation: 42-11=31
Exploring Operation: 42-13=29, Resulting Numbers: [11, 29]
Generated Node #0,1,1: 28:[11, 29] Operation: 42-13=29
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[13, 31], Operations: ['72-59=13', '42-11=31']
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,28 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[11, 29], Operations: ['72-59=13', '42-13=29']
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,28 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: 28:[59, 11, 30], Operations: ['72-42=30']
Exploring Operation: 59-11=48, Resulting Numbers: [30, 48]
Generated Node #0,0,0: 28:[30, 48] Operation: 59-11=48
Exploring Operation: 59-30=29, Resulting Numbers: [11, 29]
Generated Node #0,0,1: 28:[11, 29] Operation: 59-30=29
Moving to Node #0,0,1
Current State: 28:[11, 29], Operations: ['72-42=30', '59-30=29']
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[30, 48], Operations: ['72-42=30', '59-11=48']
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 30+48=78, Resulting Numbers: [78]
78,28 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
70,
95,
51,
17
] | 43 | [
"95-70=25",
"51+17=68",
"68-25=43"
] | Current State: 43:[70, 95, 51, 17], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [51, 17, 25]
Generated Node #2: [51, 17, 25] from Operation: 95-70=25
Current State: 43:[51, 17, 25], Operations: ['95-70=25']
Exploring Operation: 51+17=68, Resulting Numbers: [25, 68]
Generated Node #3: [25, 68] from Operation: 51+17=68
Current State: 43:[25, 68], Operations: ['95-70=25', '51+17=68']
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[70, 95, 51, 17], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [51, 17, 25]
Generated Node #0,0: 43:[51, 17, 25] Operation: 95-70=25
Exploring Operation: 95-51=44, Resulting Numbers: [70, 17, 44]
Generated Node #0,1: 43:[70, 17, 44] Operation: 95-51=44
Exploring Operation: 70-17=53, Resulting Numbers: [95, 51, 53]
Generated Node #0,2: 43:[95, 51, 53] Operation: 70-17=53
Exploring Operation: 95-17=78, Resulting Numbers: [70, 51, 78]
Generated Node #0,3: 43:[70, 51, 78] Operation: 95-17=78
Moving to Node #0,0
Current State: 43:[51, 17, 25], Operations: ['95-70=25']
Exploring Operation: 51+17=68, Resulting Numbers: [25, 68]
Generated Node #0,0,0: 43:[25, 68] Operation: 51+17=68
Exploring Operation: 17+25=42, Resulting Numbers: [51, 42]
Generated Node #0,0,1: 43:[51, 42] Operation: 17+25=42
Exploring Operation: 51-25=26, Resulting Numbers: [17, 26]
Generated Node #0,0,2: 43:[17, 26] Operation: 51-25=26
Exploring Operation: 51-17=34, Resulting Numbers: [25, 34]
Generated Node #0,0,3: 43:[25, 34] Operation: 51-17=34
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 43:[51, 42], Operations: ['95-70=25', '17+25=42']
Exploring Operation: 51+42=93, Resulting Numbers: [93]
93,43 unequal: No Solution
Exploring Operation: 51-42=9, Resulting Numbers: [9]
9,43 unequal: No Solution
Exploring Operation: 51*42=2142, Resulting Numbers: [2142]
2142,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 43:[25, 34], Operations: ['95-70=25', '51-17=34']
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,43 unequal: No Solution
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,43 unequal: No Solution
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[25, 68], Operations: ['95-70=25', '51+17=68']
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[70, 95, 51, 17], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [51, 17, 25]
Generated Node #0,0: 43:[51, 17, 25] Operation: 95-70=25
Moving to Node #0,0
Current State: 43:[51, 17, 25], Operations: ['95-70=25']
Exploring Operation: 51+17=68, Resulting Numbers: [25, 68]
Generated Node #0,0,0: 43:[25, 68] Operation: 51+17=68
Moving to Node #0,0,0
Current State: 43:[25, 68], Operations: ['95-70=25', '51+17=68']
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
69,
5,
14,
97
] | 70 | [
"69+14=83",
"97-83=14",
"5*14=70"
] | Current State: 70:[69, 5, 14, 97], Operations: []
Exploring Operation: 69+14=83, Resulting Numbers: [5, 97, 83]
Generated Node #2: [5, 97, 83] from Operation: 69+14=83
Current State: 70:[5, 97, 83], Operations: ['69+14=83']
Exploring Operation: 97-83=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 97-83=14
Current State: 70:[5, 14], Operations: ['69+14=83', '97-83=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[69, 5, 14, 97], Operations: []
Exploring Operation: 97-14=83, Resulting Numbers: [69, 5, 83]
Generated Node #0,0: 70:[69, 5, 83] Operation: 97-14=83
Exploring Operation: 97-5=92, Resulting Numbers: [69, 14, 92]
Generated Node #0,1: 70:[69, 14, 92] Operation: 97-5=92
Exploring Operation: 97-69=28, Resulting Numbers: [5, 14, 28]
Generated Node #0,2: 70:[5, 14, 28] Operation: 97-69=28
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[5, 14, 28], Operations: ['97-69=28']
Exploring Operation: 5+28=33, Resulting Numbers: [14, 33]
Generated Node #0,2,0: 70:[14, 33] Operation: 5+28=33
Exploring Operation: 28/14=2, Resulting Numbers: [5, 2]
Generated Node #0,2,1: 70:[5, 2] Operation: 28/14=2
Exploring Operation: 28-14=14, Resulting Numbers: [5, 14]
Generated Node #0,2,2: 70:[5, 14] Operation: 28-14=14
Moving to Node #0,2,1
Current State: 70:[5, 2], Operations: ['97-69=28', '28/14=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,70 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[5, 14], Operations: ['97-69=28', '28-14=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[69, 5, 14, 97], Operations: []
Exploring Operation: 97-69=28, Resulting Numbers: [5, 14, 28]
Generated Node #0,2: 70:[5, 14, 28] Operation: 97-69=28
Moving to Node #0,2
Current State: 70:[5, 14, 28], Operations: ['97-69=28']
Exploring Operation: 28-14=14, Resulting Numbers: [5, 14]
Generated Node #0,2,2: 70:[5, 14] Operation: 28-14=14
Moving to Node #0,2,2
Current State: 70:[5, 14], Operations: ['97-69=28', '28-14=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
87,
59,
34,
2
] | 40 | [
"87-59=28",
"34*2=68",
"68-28=40"
] | Current State: 40:[87, 59, 34, 2], Operations: []
Exploring Operation: 87-59=28, Resulting Numbers: [34, 2, 28]
Generated Node #2: [34, 2, 28] from Operation: 87-59=28
Current State: 40:[34, 2, 28], Operations: ['87-59=28']
Exploring Operation: 34*2=68, Resulting Numbers: [28, 68]
Generated Node #3: [28, 68] from Operation: 34*2=68
Current State: 40:[28, 68], Operations: ['87-59=28', '34*2=68']
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[87, 59, 34, 2], Operations: []
Exploring Operation: 34/2=17, Resulting Numbers: [87, 59, 17]
Generated Node #0,0: 40:[87, 59, 17] Operation: 34/2=17
Exploring Operation: 59-34=25, Resulting Numbers: [87, 2, 25]
Generated Node #0,1: 40:[87, 2, 25] Operation: 59-34=25
Exploring Operation: 87-34=53, Resulting Numbers: [59, 2, 53]
Generated Node #0,2: 40:[59, 2, 53] Operation: 87-34=53
Exploring Operation: 87-59=28, Resulting Numbers: [34, 2, 28]
Generated Node #0,3: 40:[34, 2, 28] Operation: 87-59=28
Exploring Operation: 87-2=85, Resulting Numbers: [59, 34, 85]
Generated Node #0,4: 40:[59, 34, 85] Operation: 87-2=85
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[34, 2, 28], Operations: ['87-59=28']
Exploring Operation: 34-28=6, Resulting Numbers: [2, 6]
Generated Node #0,3,0: 40:[2, 6] Operation: 34-28=6
Exploring Operation: 34+2=36, Resulting Numbers: [28, 36]
Generated Node #0,3,1: 40:[28, 36] Operation: 34+2=36
Exploring Operation: 28-2=26, Resulting Numbers: [34, 26]
Generated Node #0,3,2: 40:[34, 26] Operation: 28-2=26
Exploring Operation: 34/2=17, Resulting Numbers: [28, 17]
Generated Node #0,3,3: 40:[28, 17] Operation: 34/2=17
Exploring Operation: 28/2=14, Resulting Numbers: [34, 14]
Generated Node #0,3,4: 40:[34, 14] Operation: 28/2=14
Moving to Node #0,3,0
Current State: 40:[2, 6], Operations: ['87-59=28', '34-28=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,40 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Moving to Node #0,3,4
Current State: 40:[34, 14], Operations: ['87-59=28', '28/2=14']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,40 unequal: No Solution
Exploring Operation: 34*14=476, Resulting Numbers: [476]
476,40 unequal: No Solution
Moving to Node #0,3,3
Current State: 40:[28, 17], Operations: ['87-59=28', '34/2=17']
Exploring Operation: 28*17=476, Resulting Numbers: [476]
476,40 unequal: No Solution
Exploring Operation: 28+17=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Moving to Node #0,3,1
Current State: 40:[28, 36], Operations: ['87-59=28', '34+2=36']
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,40 unequal: No Solution
Exploring Operation: 28*36=1008, Resulting Numbers: [1008]
1008,40 unequal: No Solution
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Moving to Node #0,3,2
Current State: 40:[34, 26], Operations: ['87-59=28', '28-2=26']
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,40 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[59, 2, 53], Operations: ['87-34=53']
Exploring Operation: 2+53=55, Resulting Numbers: [59, 55]
Generated Node #0,2,0: 40:[59, 55] Operation: 2+53=55
Exploring Operation: 59-53=6, Resulting Numbers: [2, 6]
Generated Node #0,2,1: 40:[2, 6] Operation: 59-53=6
Exploring Operation: 53-2=51, Resulting Numbers: [59, 51]
Generated Node #0,2,2: 40:[59, 51] Operation: 53-2=51
Exploring Operation: 59-2=57, Resulting Numbers: [53, 57]
Generated Node #0,2,3: 40:[53, 57] Operation: 59-2=57
Exploring Operation: 59+2=61, Resulting Numbers: [53, 61]
Generated Node #0,2,4: 40:[53, 61] Operation: 59+2=61
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 40:[2, 6], Operations: ['87-34=53', '59-53=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,40 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 40:[59, 51], Operations: ['87-34=53', '53-2=51']
Exploring Operation: 59*51=3009, Resulting Numbers: [3009]
3009,40 unequal: No Solution
Exploring Operation: 59+51=110, Resulting Numbers: [110]
110,40 unequal: No Solution
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 40:[53, 57], Operations: ['87-34=53', '59-2=57']
Exploring Operation: 53+57=110, Resulting Numbers: [110]
110,40 unequal: No Solution
Exploring Operation: 53*57=3021, Resulting Numbers: [3021]
3021,40 unequal: No Solution
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 40:[59, 55], Operations: ['87-34=53', '2+53=55']
Exploring Operation: 59*55=3245, Resulting Numbers: [3245]
3245,40 unequal: No Solution
Exploring Operation: 59-55=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 59+55=114, Resulting Numbers: [114]
114,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 40:[53, 61], Operations: ['87-34=53', '59+2=61']
Exploring Operation: 53+61=114, Resulting Numbers: [114]
114,40 unequal: No Solution
Exploring Operation: 53*61=3233, Resulting Numbers: [3233]
3233,40 unequal: No Solution
Exploring Operation: 61-53=8, Resulting Numbers: [8]
8,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[87, 2, 25], Operations: ['59-34=25']
Exploring Operation: 25-2=23, Resulting Numbers: [87, 23]
Generated Node #0,1,0: 40:[87, 23] Operation: 25-2=23
Exploring Operation: 87+2=89, Resulting Numbers: [25, 89]
Generated Node #0,1,1: 40:[25, 89] Operation: 87+2=89
Exploring Operation: 2+25=27, Resulting Numbers: [87, 27]
Generated Node #0,1,2: 40:[87, 27] Operation: 2+25=27
Exploring Operation: 87-2=85, Resulting Numbers: [25, 85]
Generated Node #0,1,3: 40:[25, 85] Operation: 87-2=85
Exploring Operation: 87-25=62, Resulting Numbers: [2, 62]
Generated Node #0,1,4: 40:[2, 62] Operation: 87-25=62
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 40:[2, 62], Operations: ['59-34=25', '87-25=62']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,40 unequal: No Solution
Exploring Operation: 2*62=124, Resulting Numbers: [124]
124,40 unequal: No Solution
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,40 unequal: No Solution
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 40:[87, 23], Operations: ['59-34=25', '25-2=23']
Exploring Operation: 87+23=110, Resulting Numbers: [110]
110,40 unequal: No Solution
Exploring Operation: 87-23=64, Resulting Numbers: [64]
64,40 unequal: No Solution
Exploring Operation: 87*23=2001, Resulting Numbers: [2001]
2001,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 40:[25, 85], Operations: ['59-34=25', '87-2=85']
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,40 unequal: No Solution
Exploring Operation: 25*85=2125, Resulting Numbers: [2125]
2125,40 unequal: No Solution
Exploring Operation: 25+85=110, Resulting Numbers: [110]
110,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 40:[25, 89], Operations: ['59-34=25', '87+2=89']
Exploring Operation: 25+89=114, Resulting Numbers: [114]
114,40 unequal: No Solution
Exploring Operation: 25*89=2225, Resulting Numbers: [2225]
2225,40 unequal: No Solution
Exploring Operation: 89-25=64, Resulting Numbers: [64]
64,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 40:[87, 27], Operations: ['59-34=25', '2+25=27']
Exploring Operation: 87+27=114, Resulting Numbers: [114]
114,40 unequal: No Solution
Exploring Operation: 87*27=2349, Resulting Numbers: [2349]
2349,40 unequal: No Solution
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[87, 59, 17], Operations: ['34/2=17']
Exploring Operation: 87-59=28, Resulting Numbers: [17, 28]
Generated Node #0,0,0: 40:[17, 28] Operation: 87-59=28
Exploring Operation: 87+17=104, Resulting Numbers: [59, 104]
Generated Node #0,0,1: 40:[59, 104] Operation: 87+17=104
Exploring Operation: 59+17=76, Resulting Numbers: [87, 76]
Generated Node #0,0,2: 40:[87, 76] Operation: 59+17=76
Exploring Operation: 59-17=42, Resulting Numbers: [87, 42]
Generated Node #0,0,3: 40:[87, 42] Operation: 59-17=42
Exploring Operation: 87-17=70, Resulting Numbers: [59, 70]
Generated Node #0,0,4: 40:[59, 70] Operation: 87-17=70
Moving to Node #0,0,0
Current State: 40:[17, 28], Operations: ['34/2=17', '87-59=28']
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,40 unequal: No Solution
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Moving to Node #0,0,4
Current State: 40:[59, 70], Operations: ['34/2=17', '87-17=70']
Exploring Operation: 59+70=129, Resulting Numbers: [129]
129,40 unequal: No Solution
Exploring Operation: 70-59=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Exploring Operation: 59*70=4130, Resulting Numbers: [4130]
4130,40 unequal: No Solution
Moving to Node #0,0,3
Current State: 40:[87, 42], Operations: ['34/2=17', '59-17=42']
Exploring Operation: 87*42=3654, Resulting Numbers: [3654]
3654,40 unequal: No Solution
Exploring Operation: 87+42=129, Resulting Numbers: [129]
129,40 unequal: No Solution
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[59, 104], Operations: ['34/2=17', '87+17=104']
Exploring Operation: 104-59=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 59+104=163, Resulting Numbers: [163]
163,40 unequal: No Solution
Exploring Operation: 59*104=6136, Resulting Numbers: [6136]
6136,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[87, 76], Operations: ['34/2=17', '59+17=76']
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Exploring Operation: 87+76=163, Resulting Numbers: [163]
163,40 unequal: No Solution
Exploring Operation: 87*76=6612, Resulting Numbers: [6612]
6612,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 40:[59, 34, 85], Operations: ['87-2=85']
Exploring Operation: 85-34=51, Resulting Numbers: [59, 51]
Generated Node #0,4,0: 40:[59, 51] Operation: 85-34=51
Exploring Operation: 85-59=26, Resulting Numbers: [34, 26]
Generated Node #0,4,1: 40:[34, 26] Operation: 85-59=26
Exploring Operation: 59+34=93, Resulting Numbers: [85, 93]
Generated Node #0,4,2: 40:[85, 93] Operation: 59+34=93
Exploring Operation: 59-34=25, Resulting Numbers: [85, 25]
Generated Node #0,4,3: 40:[85, 25] Operation: 59-34=25
Exploring Operation: 34+85=119, Resulting Numbers: [59, 119]
Generated Node #0,4,4: 40:[59, 119] Operation: 34+85=119
Moving to Node #0,4,1
Current State: 40:[34, 26], Operations: ['87-2=85', '85-59=26']
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,40 unequal: No Solution
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,40 unequal: No Solution
Moving to Node #0,4,0
Current State: 40:[59, 51], Operations: ['87-2=85', '85-34=51']
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 59*51=3009, Resulting Numbers: [3009]
3009,40 unequal: No Solution
Exploring Operation: 59+51=110, Resulting Numbers: [110]
110,40 unequal: No Solution
Moving to Node #0,4,3
Current State: 40:[85, 25], Operations: ['87-2=85', '59-34=25']
Exploring Operation: 85+25=110, Resulting Numbers: [110]
110,40 unequal: No Solution
Exploring Operation: 85*25=2125, Resulting Numbers: [2125]
2125,40 unequal: No Solution
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,40 unequal: No Solution
Moving to Node #0,4,2
Current State: 40:[85, 93], Operations: ['87-2=85', '59+34=93']
Exploring Operation: 93-85=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 85+93=178, Resulting Numbers: [178]
178,40 unequal: No Solution
Exploring Operation: 85*93=7905, Resulting Numbers: [7905]
7905,40 unequal: No Solution
Moving to Node #0,4,4
Current State: 40:[59, 119], Operations: ['87-2=85', '34+85=119']
Exploring Operation: 59+119=178, Resulting Numbers: [178]
178,40 unequal: No Solution
Exploring Operation: 59*119=7021, Resulting Numbers: [7021]
7021,40 unequal: No Solution
Exploring Operation: 119-59=60, Resulting Numbers: [60]
60,40 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 |
[
23,
30,
86,
43
] | 38 | [
"30*43=1290",
"1290/86=15",
"23+15=38"
] | Current State: 38:[23, 30, 86, 43], Operations: []
Exploring Operation: 30*43=1290, Resulting Numbers: [23, 86, 1290]
Generated Node #2: [23, 86, 1290] from Operation: 30*43=1290
Current State: 38:[23, 86, 1290], Operations: ['30*43=1290']
Exploring Operation: 1290/86=15, Resulting Numbers: [23, 15]
Generated Node #3: [23, 15] from Operation: 1290/86=15
Current State: 38:[23, 15], Operations: ['30*43=1290', '1290/86=15']
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[23, 30, 86, 43], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [23, 30, 2]
Generated Node #0,0: 38:[23, 30, 2] Operation: 86/43=2
Exploring Operation: 43-23=20, Resulting Numbers: [30, 86, 20]
Generated Node #0,1: 38:[30, 86, 20] Operation: 43-23=20
Exploring Operation: 86-43=43, Resulting Numbers: [23, 30, 43]
Generated Node #0,2: 38:[23, 30, 43] Operation: 86-43=43
Exploring Operation: 86-30=56, Resulting Numbers: [23, 43, 56]
Generated Node #0,3: 38:[23, 43, 56] Operation: 86-30=56
Exploring Operation: 86-23=63, Resulting Numbers: [30, 43, 63]
Generated Node #0,4: 38:[30, 43, 63] Operation: 86-23=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[23, 30, 2], Operations: ['86/43=2']
Exploring Operation: 30/2=15, Resulting Numbers: [23, 15]
Generated Node #0,0,0: 38:[23, 15] Operation: 30/2=15
Exploring Operation: 30-23=7, Resulting Numbers: [2, 7]
Generated Node #0,0,1: 38:[2, 7] Operation: 30-23=7
Exploring Operation: 30-2=28, Resulting Numbers: [23, 28]
Generated Node #0,0,2: 38:[23, 28] Operation: 30-2=28
Exploring Operation: 23-2=21, Resulting Numbers: [30, 21]
Generated Node #0,0,3: 38:[30, 21] Operation: 23-2=21
Exploring Operation: 30+2=32, Resulting Numbers: [23, 32]
Generated Node #0,0,4: 38:[23, 32] Operation: 30+2=32
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 38:[2, 7], Operations: ['86/43=2', '30-23=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[23, 15], Operations: ['86/43=2', '30/2=15']
Exploring Operation: 23*15=345, Resulting Numbers: [345]
345,38 unequal: No Solution
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[23, 30, 86, 43], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [23, 30, 2]
Generated Node #0,0: 38:[23, 30, 2] Operation: 86/43=2
Moving to Node #0,0
Current State: 38:[23, 30, 2], Operations: ['86/43=2']
Exploring Operation: 30/2=15, Resulting Numbers: [23, 15]
Generated Node #0,0,0: 38:[23, 15] Operation: 30/2=15
Moving to Node #0,0,0
Current State: 38:[23, 15], Operations: ['86/43=2', '30/2=15']
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
21,
6,
18,
22
] | 14 | [
"22-18=4",
"21*4=84",
"84/6=14"
] | Current State: 14:[21, 6, 18, 22], Operations: []
Exploring Operation: 22-18=4, Resulting Numbers: [21, 6, 4]
Generated Node #2: [21, 6, 4] from Operation: 22-18=4
Current State: 14:[21, 6, 4], Operations: ['22-18=4']
Exploring Operation: 21*4=84, Resulting Numbers: [6, 84]
Generated Node #3: [6, 84] from Operation: 21*4=84
Current State: 14:[6, 84], Operations: ['22-18=4', '21*4=84']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[21, 6, 18, 22], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [6, 22, 3]
Generated Node #0,0: 14:[6, 22, 3] Operation: 21-18=3
Exploring Operation: 22-18=4, Resulting Numbers: [21, 6, 4]
Generated Node #0,1: 14:[21, 6, 4] Operation: 22-18=4
Exploring Operation: 22-21=1, Resulting Numbers: [6, 18, 1]
Generated Node #0,2: 14:[6, 18, 1] Operation: 22-21=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[6, 18, 1], Operations: ['22-21=1']
Exploring Operation: 18-6=12, Resulting Numbers: [1, 12]
Generated Node #0,2,0: 14:[1, 12] Operation: 18-6=12
Exploring Operation: 6+1=7, Resulting Numbers: [18, 7]
Generated Node #0,2,1: 14:[18, 7] Operation: 6+1=7
Exploring Operation: 18/6=3, Resulting Numbers: [1, 3]
Generated Node #0,2,2: 14:[1, 3] Operation: 18/6=3
Moving to Node #0,2,2
Current State: 14:[1, 3], Operations: ['22-21=1', '18/6=3']
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[1, 12], Operations: ['22-21=1', '18-6=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Moving to Node #0,2,1
Current State: 14:[18, 7], Operations: ['22-21=1', '6+1=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,14 unequal: No Solution
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,14 unequal: No Solution
No 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: 14:[6, 22, 3], Operations: ['21-18=3']
Exploring Operation: 6/3=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 14:[22, 2] Operation: 6/3=2
Exploring Operation: 22-6=16, Resulting Numbers: [3, 16]
Generated Node #0,0,1: 14:[3, 16] Operation: 22-6=16
Exploring Operation: 22-3=19, Resulting Numbers: [6, 19]
Generated Node #0,0,2: 14:[6, 19] Operation: 22-3=19
Moving to Node #0,0,1
Current State: 14:[3, 16], Operations: ['21-18=3', '22-6=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,14 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Moving to Node #0,0,2
Current State: 14:[6, 19], Operations: ['21-18=3', '22-3=19']
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,14 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[22, 2], Operations: ['21-18=3', '6/3=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,14 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,14 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No 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: 14:[21, 6, 4], Operations: ['22-18=4']
Exploring Operation: 21-4=17, Resulting Numbers: [6, 17]
Generated Node #0,1,0: 14:[6, 17] Operation: 21-4=17
Exploring Operation: 21-6=15, Resulting Numbers: [4, 15]
Generated Node #0,1,1: 14:[4, 15] Operation: 21-6=15
Exploring Operation: 6-4=2, Resulting Numbers: [21, 2]
Generated Node #0,1,2: 14:[21, 2] Operation: 6-4=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 14:[4, 15], Operations: ['22-18=4', '21-6=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,14 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,14 unequal: No Solution
No 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: 14:[6, 17], Operations: ['22-18=4', '21-4=17']
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,14 unequal: No Solution
No 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: 14:[21, 2], Operations: ['22-18=4', '6-4=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,14 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,14 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 |
[
36,
8,
24,
10
] | 98 | [
"36*24=864",
"864/8=108",
"108-10=98"
] | Current State: 98:[36, 8, 24, 10], Operations: []
Exploring Operation: 36*24=864, Resulting Numbers: [8, 10, 864]
Generated Node #2: [8, 10, 864] from Operation: 36*24=864
Current State: 98:[8, 10, 864], Operations: ['36*24=864']
Exploring Operation: 864/8=108, Resulting Numbers: [10, 108]
Generated Node #3: [10, 108] from Operation: 864/8=108
Current State: 98:[10, 108], Operations: ['36*24=864', '864/8=108']
Exploring Operation: 108-10=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[36, 8, 24, 10], Operations: []
Exploring Operation: 36-24=12, Resulting Numbers: [8, 10, 12]
Generated Node #0,0: 98:[8, 10, 12] Operation: 36-24=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[8, 10, 12], Operations: ['36-24=12']
Exploring Operation: 12-10=2, Resulting Numbers: [8, 2]
Generated Node #0,0,0: 98:[8, 2] Operation: 12-10=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[8, 2], Operations: ['36-24=12', '12-10=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
15,
91,
8,
80
] | 67 | [
"15-8=7",
"91/7=13",
"80-13=67"
] | Current State: 67:[15, 91, 8, 80], Operations: []
Exploring Operation: 15-8=7, Resulting Numbers: [91, 80, 7]
Generated Node #2: [91, 80, 7] from Operation: 15-8=7
Current State: 67:[91, 80, 7], Operations: ['15-8=7']
Exploring Operation: 91/7=13, Resulting Numbers: [80, 13]
Generated Node #3: [80, 13] from Operation: 91/7=13
Current State: 67:[80, 13], Operations: ['15-8=7', '91/7=13']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[15, 91, 8, 80], Operations: []
Exploring Operation: 80-8=72, Resulting Numbers: [15, 91, 72]
Generated Node #0,0: 67:[15, 91, 72] Operation: 80-8=72
Exploring Operation: 91-8=83, Resulting Numbers: [15, 80, 83]
Generated Node #0,1: 67:[15, 80, 83] Operation: 91-8=83
Exploring Operation: 15+8=23, Resulting Numbers: [91, 80, 23]
Generated Node #0,2: 67:[91, 80, 23] Operation: 15+8=23
Exploring Operation: 80-15=65, Resulting Numbers: [91, 8, 65]
Generated Node #0,3: 67:[91, 8, 65] Operation: 80-15=65
Exploring Operation: 91-15=76, Resulting Numbers: [8, 80, 76]
Generated Node #0,4: 67:[8, 80, 76] Operation: 91-15=76
Moving to Node #0,0
Current State: 67:[15, 91, 72], Operations: ['80-8=72']
Exploring Operation: 15+72=87, Resulting Numbers: [91, 87]
Generated Node #0,0,0: 67:[91, 87] Operation: 15+72=87
Exploring Operation: 72-15=57, Resulting Numbers: [91, 57]
Generated Node #0,0,1: 67:[91, 57] Operation: 72-15=57
Exploring Operation: 15+91=106, Resulting Numbers: [72, 106]
Generated Node #0,0,2: 67:[72, 106] Operation: 15+91=106
Exploring Operation: 91-72=19, Resulting Numbers: [15, 19]
Generated Node #0,0,3: 67:[15, 19] Operation: 91-72=19
Exploring Operation: 91-15=76, Resulting Numbers: [72, 76]
Generated Node #0,0,4: 67:[72, 76] Operation: 91-15=76
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 67:[72, 76], Operations: ['80-8=72', '91-15=76']
Exploring Operation: 72*76=5472, Resulting Numbers: [5472]
5472,67 unequal: No Solution
Exploring Operation: 72+76=148, Resulting Numbers: [148]
148,67 unequal: No Solution
Exploring Operation: 76-72=4, Resulting Numbers: [4]
4,67 unequal: No Solution
No 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: 67:[91, 57], Operations: ['80-8=72', '72-15=57']
Exploring Operation: 91*57=5187, Resulting Numbers: [5187]
5187,67 unequal: No Solution
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 91+57=148, Resulting Numbers: [148]
148,67 unequal: No Solution
No 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: 67:[91, 87], Operations: ['80-8=72', '15+72=87']
Exploring Operation: 91-87=4, Resulting Numbers: [4]
4,67 unequal: No Solution
Exploring Operation: 91*87=7917, Resulting Numbers: [7917]
7917,67 unequal: No Solution
Exploring Operation: 91+87=178, Resulting Numbers: [178]
178,67 unequal: No Solution
No 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: 67:[72, 106], Operations: ['80-8=72', '15+91=106']
Exploring Operation: 106-72=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 72+106=178, Resulting Numbers: [178]
178,67 unequal: No Solution
Exploring Operation: 72*106=7632, Resulting Numbers: [7632]
7632,67 unequal: No Solution
No 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: 67:[15, 19], Operations: ['80-8=72', '91-72=19']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,67 unequal: No Solution
Exploring Operation: 15*19=285, Resulting Numbers: [285]
285,67 unequal: No Solution
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,67 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: 67:[91, 80, 23], Operations: ['15+8=23']
Exploring Operation: 91-80=11, Resulting Numbers: [23, 11]
Generated Node #0,2,0: 67:[23, 11] Operation: 91-80=11
Exploring Operation: 80+23=103, Resulting Numbers: [91, 103]
Generated Node #0,2,1: 67:[91, 103] Operation: 80+23=103
Exploring Operation: 91+23=114, Resulting Numbers: [80, 114]
Generated Node #0,2,2: 67:[80, 114] Operation: 91+23=114
Exploring Operation: 91-23=68, Resulting Numbers: [80, 68]
Generated Node #0,2,3: 67:[80, 68] Operation: 91-23=68
Exploring Operation: 80-23=57, Resulting Numbers: [91, 57]
Generated Node #0,2,4: 67:[91, 57] Operation: 80-23=57
Moving to Node #0,1
Current State: 67:[15, 80, 83], Operations: ['91-8=83']
Exploring Operation: 15+80=95, Resulting Numbers: [83, 95]
Generated Node #0,1,0: 67:[83, 95] Operation: 15+80=95
Exploring Operation: 83-15=68, Resulting Numbers: [80, 68]
Generated Node #0,1,1: 67:[80, 68] Operation: 83-15=68
Exploring Operation: 80-15=65, Resulting Numbers: [83, 65]
Generated Node #0,1,2: 67:[83, 65] Operation: 80-15=65
Exploring Operation: 15+83=98, Resulting Numbers: [80, 98]
Generated Node #0,1,3: 67:[80, 98] Operation: 15+83=98
Exploring Operation: 83-80=3, Resulting Numbers: [15, 3]
Generated Node #0,1,4: 67:[15, 3] Operation: 83-80=3
Moving to Node #0,4
Current State: 67:[8, 80, 76], Operations: ['91-15=76']
Exploring Operation: 76-8=68, Resulting Numbers: [80, 68]
Generated Node #0,4,0: 67:[80, 68] Operation: 76-8=68
Exploring Operation: 8+76=84, Resulting Numbers: [80, 84]
Generated Node #0,4,1: 67:[80, 84] Operation: 8+76=84
Exploring Operation: 80/8=10, Resulting Numbers: [76, 10]
Generated Node #0,4,2: 67:[76, 10] Operation: 80/8=10
Exploring Operation: 8+80=88, Resulting Numbers: [76, 88]
Generated Node #0,4,3: 67:[76, 88] Operation: 8+80=88
Exploring Operation: 80-8=72, Resulting Numbers: [76, 72]
Generated Node #0,4,4: 67:[76, 72] Operation: 80-8=72
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 67:[80, 68], Operations: ['91-15=76', '76-8=68']
Exploring Operation: 80-68=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 80+68=148, Resulting Numbers: [148]
148,67 unequal: No Solution
Exploring Operation: 80*68=5440, Resulting Numbers: [5440]
5440,67 unequal: No Solution
No 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: 67:[76, 72], Operations: ['91-15=76', '80-8=72']
Exploring Operation: 76-72=4, Resulting Numbers: [4]
4,67 unequal: No Solution
Exploring Operation: 76+72=148, Resulting Numbers: [148]
148,67 unequal: No Solution
Exploring Operation: 76*72=5472, Resulting Numbers: [5472]
5472,67 unequal: No Solution
No 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: 67:[80, 84], Operations: ['91-15=76', '8+76=84']
Exploring Operation: 80+84=164, Resulting Numbers: [164]
164,67 unequal: No Solution
Exploring Operation: 80*84=6720, Resulting Numbers: [6720]
6720,67 unequal: No Solution
Exploring Operation: 84-80=4, Resulting Numbers: [4]
4,67 unequal: No Solution
No 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: 67:[76, 88], Operations: ['91-15=76', '8+80=88']
Exploring Operation: 76*88=6688, Resulting Numbers: [6688]
6688,67 unequal: No Solution
Exploring Operation: 88-76=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 76+88=164, Resulting Numbers: [164]
164,67 unequal: No Solution
No 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: 67:[76, 10], Operations: ['91-15=76', '80/8=10']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,67 unequal: No Solution
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,67 unequal: No Solution
Exploring Operation: 76*10=760, Resulting Numbers: [760]
760,67 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: 67:[91, 8, 65], Operations: ['80-15=65']
Exploring Operation: 91-8=83, Resulting Numbers: [65, 83]
Generated Node #0,3,0: 67:[65, 83] Operation: 91-8=83
Exploring Operation: 91-65=26, Resulting Numbers: [8, 26]
Generated Node #0,3,1: 67:[8, 26] Operation: 91-65=26
Exploring Operation: 91+8=99, Resulting Numbers: [65, 99]
Generated Node #0,3,2: 67:[65, 99] Operation: 91+8=99
Exploring Operation: 65-8=57, Resulting Numbers: [91, 57]
Generated Node #0,3,3: 67:[91, 57] Operation: 65-8=57
Exploring Operation: 8+65=73, Resulting Numbers: [91, 73]
Generated Node #0,3,4: 67:[91, 73] Operation: 8+65=73
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 67:[65, 83], Operations: ['80-15=65', '91-8=83']
Exploring Operation: 83-65=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Exploring Operation: 65*83=5395, Resulting Numbers: [5395]
5395,67 unequal: No Solution
Exploring Operation: 65+83=148, Resulting Numbers: [148]
148,67 unequal: No Solution
No 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: 67:[91, 73], Operations: ['80-15=65', '8+65=73']
Exploring Operation: 91+73=164, Resulting Numbers: [164]
164,67 unequal: No Solution
Exploring Operation: 91*73=6643, Resulting Numbers: [6643]
6643,67 unequal: No Solution
Exploring Operation: 91-73=18, Resulting Numbers: [18]
18,67 unequal: No Solution
No 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: 67:[65, 99], Operations: ['80-15=65', '91+8=99']
Exploring Operation: 99-65=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 65+99=164, Resulting Numbers: [164]
164,67 unequal: No Solution
Exploring Operation: 65*99=6435, Resulting Numbers: [6435]
6435,67 unequal: No Solution
No 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: 67:[91, 57], Operations: ['80-15=65', '65-8=57']
Exploring Operation: 91*57=5187, Resulting Numbers: [5187]
5187,67 unequal: No Solution
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 91+57=148, Resulting Numbers: [148]
148,67 unequal: No Solution
No 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: 67:[8, 26], Operations: ['80-15=65', '91-65=26']
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,67 unequal: No Solution
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 67:[80, 68], Operations: ['15+8=23', '91-23=68']
Exploring Operation: 80*68=5440, Resulting Numbers: [5440]
5440,67 unequal: No Solution
Exploring Operation: 80+68=148, Resulting Numbers: [148]
148,67 unequal: No Solution
Exploring Operation: 80-68=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[80, 68], Operations: ['91-8=83', '83-15=68']
Exploring Operation: 80*68=5440, Resulting Numbers: [5440]
5440,67 unequal: No Solution
Exploring Operation: 80+68=148, Resulting Numbers: [148]
148,67 unequal: No Solution
Exploring Operation: 80-68=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[83, 65], Operations: ['91-8=83', '80-15=65']
Exploring Operation: 83-65=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Exploring Operation: 83*65=5395, Resulting Numbers: [5395]
5395,67 unequal: No Solution
Exploring Operation: 83+65=148, Resulting Numbers: [148]
148,67 unequal: No Solution
Moving to Node #0,2,4
Current State: 67:[91, 57], Operations: ['15+8=23', '80-23=57']
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 91*57=5187, Resulting Numbers: [5187]
5187,67 unequal: No Solution
Exploring Operation: 91+57=148, Resulting Numbers: [148]
148,67 unequal: No Solution
Moving to Node #0,1,3
Current State: 67:[80, 98], Operations: ['91-8=83', '15+83=98']
Exploring Operation: 80*98=7840, Resulting Numbers: [7840]
7840,67 unequal: No Solution
Exploring Operation: 98-80=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Exploring Operation: 80+98=178, Resulting Numbers: [178]
178,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[83, 95], Operations: ['91-8=83', '15+80=95']
Exploring Operation: 83*95=7885, Resulting Numbers: [7885]
7885,67 unequal: No Solution
Exploring Operation: 95-83=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 83+95=178, Resulting Numbers: [178]
178,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[91, 103], Operations: ['15+8=23', '80+23=103']
Exploring Operation: 91*103=9373, Resulting Numbers: [9373]
9373,67 unequal: No Solution
Exploring Operation: 91+103=194, Resulting Numbers: [194]
194,67 unequal: No Solution
Exploring Operation: 103-91=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[80, 114], Operations: ['15+8=23', '91+23=114']
Exploring Operation: 80*114=9120, Resulting Numbers: [9120]
9120,67 unequal: No Solution
Exploring Operation: 80+114=194, Resulting Numbers: [194]
194,67 unequal: No Solution
Exploring Operation: 114-80=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[23, 11], Operations: ['15+8=23', '91-80=11']
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 23*11=253, Resulting Numbers: [253]
253,67 unequal: No Solution
Moving to Node #0,1,4
Current State: 67:[15, 3], Operations: ['91-8=83', '83-80=3']
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,67 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,67 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
10,
80,
41,
52
] | 19 | [
"80/10=8",
"52-41=11",
"8+11=19"
] | Current State: 19:[10, 80, 41, 52], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [41, 52, 8]
Generated Node #2: [41, 52, 8] from Operation: 80/10=8
Current State: 19:[41, 52, 8], Operations: ['80/10=8']
Exploring Operation: 52-41=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 52-41=11
Current State: 19:[8, 11], Operations: ['80/10=8', '52-41=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[10, 80, 41, 52], Operations: []
Exploring Operation: 80-41=39, Resulting Numbers: [10, 52, 39]
Generated Node #0,0: 19:[10, 52, 39] Operation: 80-41=39
Exploring Operation: 80-52=28, Resulting Numbers: [10, 41, 28]
Generated Node #0,1: 19:[10, 41, 28] Operation: 80-52=28
Moving to Node #0,1
Current State: 19:[10, 41, 28], Operations: ['80-52=28']
Exploring Operation: 41-10=31, Resulting Numbers: [28, 31]
Generated Node #0,1,0: 19:[28, 31] Operation: 41-10=31
Exploring Operation: 41-28=13, Resulting Numbers: [10, 13]
Generated Node #0,1,1: 19:[10, 13] Operation: 41-28=13
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[10, 13], Operations: ['80-52=28', '41-28=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[28, 31], Operations: ['80-52=28', '41-10=31']
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,19 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: 19:[10, 52, 39], Operations: ['80-41=39']
Exploring Operation: 52-10=42, Resulting Numbers: [39, 42]
Generated Node #0,0,0: 19:[39, 42] Operation: 52-10=42
Exploring Operation: 52-39=13, Resulting Numbers: [10, 13]
Generated Node #0,0,1: 19:[10, 13] Operation: 52-39=13
Moving to Node #0,0,1
Current State: 19:[10, 13], Operations: ['80-41=39', '52-39=13']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[39, 42], Operations: ['80-41=39', '52-10=42']
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,19 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,19 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
8,
54,
27,
40
] | 34 | [
"40-8=32",
"54/27=2",
"32+2=34"
] | Current State: 34:[8, 54, 27, 40], Operations: []
Exploring Operation: 40-8=32, Resulting Numbers: [54, 27, 32]
Generated Node #2: [54, 27, 32] from Operation: 40-8=32
Current State: 34:[54, 27, 32], Operations: ['40-8=32']
Exploring Operation: 54/27=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 54/27=2
Current State: 34:[32, 2], Operations: ['40-8=32', '54/27=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[8, 54, 27, 40], Operations: []
Exploring Operation: 54-27=27, Resulting Numbers: [8, 40, 27]
Generated Node #0,0: 34:[8, 40, 27] Operation: 54-27=27
Exploring Operation: 54/27=2, Resulting Numbers: [8, 40, 2]
Generated Node #0,1: 34:[8, 40, 2] Operation: 54/27=2
Exploring Operation: 54-40=14, Resulting Numbers: [8, 27, 14]
Generated Node #0,2: 34:[8, 27, 14] Operation: 54-40=14
Moving to Node #0,1
Current State: 34:[8, 40, 2], Operations: ['54/27=2']
Exploring Operation: 8*2=16, Resulting Numbers: [40, 16]
Generated Node #0,1,0: 34:[40, 16] Operation: 8*2=16
Exploring Operation: 40-8=32, Resulting Numbers: [2, 32]
Generated Node #0,1,1: 34:[2, 32] Operation: 40-8=32
Exploring Operation: 40/8=5, Resulting Numbers: [2, 5]
Generated Node #0,1,2: 34:[2, 5] Operation: 40/8=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[2, 32], Operations: ['54/27=2', '40-8=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[8, 54, 27, 40], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [8, 40, 2]
Generated Node #0,1: 34:[8, 40, 2] Operation: 54/27=2
Moving to Node #0,1
Current State: 34:[8, 40, 2], Operations: ['54/27=2']
Exploring Operation: 40-8=32, Resulting Numbers: [2, 32]
Generated Node #0,1,1: 34:[2, 32] Operation: 40-8=32
Moving to Node #0,1,1
Current State: 34:[2, 32], Operations: ['54/27=2', '40-8=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
15,
61,
54,
43
] | 45 | [
"15*54=810",
"61-43=18",
"810/18=45"
] | Current State: 45:[15, 61, 54, 43], Operations: []
Exploring Operation: 15*54=810, Resulting Numbers: [61, 43, 810]
Generated Node #2: [61, 43, 810] from Operation: 15*54=810
Current State: 45:[61, 43, 810], Operations: ['15*54=810']
Exploring Operation: 61-43=18, Resulting Numbers: [810, 18]
Generated Node #3: [810, 18] from Operation: 61-43=18
Current State: 45:[810, 18], Operations: ['15*54=810', '61-43=18']
Exploring Operation: 810/18=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[15, 61, 54, 43], Operations: []
Exploring Operation: 54-43=11, Resulting Numbers: [15, 61, 11]
Generated Node #0,0: 45:[15, 61, 11] Operation: 54-43=11
Exploring Operation: 61-43=18, Resulting Numbers: [15, 54, 18]
Generated Node #0,1: 45:[15, 54, 18] Operation: 61-43=18
Exploring Operation: 61-15=46, Resulting Numbers: [54, 43, 46]
Generated Node #0,2: 45:[54, 43, 46] Operation: 61-15=46
Exploring Operation: 61-54=7, Resulting Numbers: [15, 43, 7]
Generated Node #0,3: 45:[15, 43, 7] Operation: 61-54=7
Exploring Operation: 54-15=39, Resulting Numbers: [61, 43, 39]
Generated Node #0,4: 45:[61, 43, 39] Operation: 54-15=39
Start Sub Search at level 1: Moving to Node #0,3
Current State: 45:[15, 43, 7], Operations: ['61-54=7']
Exploring Operation: 15+7=22, Resulting Numbers: [43, 22]
Generated Node #0,3,0: 45:[43, 22] Operation: 15+7=22
Exploring Operation: 15+43=58, Resulting Numbers: [7, 58]
Generated Node #0,3,1: 45:[7, 58] Operation: 15+43=58
Exploring Operation: 43+7=50, Resulting Numbers: [15, 50]
Generated Node #0,3,2: 45:[15, 50] Operation: 43+7=50
Exploring Operation: 43-7=36, Resulting Numbers: [15, 36]
Generated Node #0,3,3: 45:[15, 36] Operation: 43-7=36
Exploring Operation: 15-7=8, Resulting Numbers: [43, 8]
Generated Node #0,3,4: 45:[43, 8] Operation: 15-7=8
Moving to Node #0,3,4
Current State: 45:[43, 8], Operations: ['61-54=7', '15-7=8']
Exploring Operation: 43*8=344, Resulting Numbers: [344]
344,45 unequal: No Solution
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,45 unequal: No Solution
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,45 unequal: No Solution
Moving to Node #0,3,2
Current State: 45:[15, 50], Operations: ['61-54=7', '43+7=50']
Exploring Operation: 15+50=65, Resulting Numbers: [65]
65,45 unequal: No Solution
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,45 unequal: No Solution
Exploring Operation: 15*50=750, Resulting Numbers: [750]
750,45 unequal: No Solution
Moving to Node #0,3,0
Current State: 45:[43, 22], Operations: ['61-54=7', '15+7=22']
Exploring Operation: 43*22=946, Resulting Numbers: [946]
946,45 unequal: No Solution
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 43+22=65, Resulting Numbers: [65]
65,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[15, 36], Operations: ['61-54=7', '43-7=36']
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,45 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 15*36=540, Resulting Numbers: [540]
540,45 unequal: No Solution
Moving to Node #0,3,1
Current State: 45:[7, 58], Operations: ['61-54=7', '15+43=58']
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,45 unequal: No Solution
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,45 unequal: No Solution
Exploring Operation: 7*58=406, Resulting Numbers: [406]
406,45 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:[15, 54, 18], Operations: ['61-43=18']
Exploring Operation: 54-18=36, Resulting Numbers: [15, 36]
Generated Node #0,1,0: 45:[15, 36] Operation: 54-18=36
Exploring Operation: 18-15=3, Resulting Numbers: [54, 3]
Generated Node #0,1,1: 45:[54, 3] Operation: 18-15=3
Exploring Operation: 54-15=39, Resulting Numbers: [18, 39]
Generated Node #0,1,2: 45:[18, 39] Operation: 54-15=39
Exploring Operation: 54/18=3, Resulting Numbers: [15, 3]
Generated Node #0,1,3: 45:[15, 3] Operation: 54/18=3
Exploring Operation: 15+18=33, Resulting Numbers: [54, 33]
Generated Node #0,1,4: 45:[54, 33] Operation: 15+18=33
Moving to Node #0,1,3
Current State: 45:[15, 3], Operations: ['61-43=18', '54/18=3']
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,45 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[15, 61, 54, 43], Operations: []
Exploring Operation: 61-43=18, Resulting Numbers: [15, 54, 18]
Generated Node #0,1: 45:[15, 54, 18] Operation: 61-43=18
Moving to Node #0,1
Current State: 45:[15, 54, 18], Operations: ['61-43=18']
Exploring Operation: 54/18=3, Resulting Numbers: [15, 3]
Generated Node #0,1,3: 45:[15, 3] Operation: 54/18=3
Moving to Node #0,1,3
Current State: 45:[15, 3], Operations: ['61-43=18', '54/18=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
75,
9,
62,
85
] | 43 | [
"75-9=66",
"85-62=23",
"66-23=43"
] | Current State: 43:[75, 9, 62, 85], Operations: []
Exploring Operation: 75-9=66, Resulting Numbers: [62, 85, 66]
Generated Node #2: [62, 85, 66] from Operation: 75-9=66
Current State: 43:[62, 85, 66], Operations: ['75-9=66']
Exploring Operation: 85-62=23, Resulting Numbers: [66, 23]
Generated Node #3: [66, 23] from Operation: 85-62=23
Current State: 43:[66, 23], Operations: ['75-9=66', '85-62=23']
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[75, 9, 62, 85], Operations: []
Exploring Operation: 75-9=66, Resulting Numbers: [62, 85, 66]
Generated Node #0,0: 43:[62, 85, 66] Operation: 75-9=66
Exploring Operation: 62-9=53, Resulting Numbers: [75, 85, 53]
Generated Node #0,1: 43:[75, 85, 53] Operation: 62-9=53
Moving to Node #0,0
Current State: 43:[62, 85, 66], Operations: ['75-9=66']
Exploring Operation: 85-62=23, Resulting Numbers: [66, 23]
Generated Node #0,0,0: 43:[66, 23] Operation: 85-62=23
Exploring Operation: 85-66=19, Resulting Numbers: [62, 19]
Generated Node #0,0,1: 43:[62, 19] Operation: 85-66=19
Moving to Node #0,1
Current State: 43:[75, 85, 53], Operations: ['62-9=53']
Exploring Operation: 85-75=10, Resulting Numbers: [53, 10]
Generated Node #0,1,0: 43:[53, 10] Operation: 85-75=10
Exploring Operation: 85-53=32, Resulting Numbers: [75, 32]
Generated Node #0,1,1: 43:[75, 32] Operation: 85-53=32
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 43:[53, 10], Operations: ['62-9=53', '85-75=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[75, 9, 62, 85], Operations: []
Exploring Operation: 62-9=53, Resulting Numbers: [75, 85, 53]
Generated Node #0,1: 43:[75, 85, 53] Operation: 62-9=53
Moving to Node #0,1
Current State: 43:[75, 85, 53], Operations: ['62-9=53']
Exploring Operation: 85-75=10, Resulting Numbers: [53, 10]
Generated Node #0,1,0: 43:[53, 10] Operation: 85-75=10
Moving to Node #0,1,0
Current State: 43:[53, 10], Operations: ['62-9=53', '85-75=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
90,
45,
19,
82
] | 61 | [
"90/45=2",
"82-19=63",
"63-2=61"
] | Current State: 61:[90, 45, 19, 82], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [19, 82, 2]
Generated Node #2: [19, 82, 2] from Operation: 90/45=2
Current State: 61:[19, 82, 2], Operations: ['90/45=2']
Exploring Operation: 82-19=63, Resulting Numbers: [2, 63]
Generated Node #3: [2, 63] from Operation: 82-19=63
Current State: 61:[2, 63], Operations: ['90/45=2', '82-19=63']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[90, 45, 19, 82], Operations: []
Exploring Operation: 90-45=45, Resulting Numbers: [19, 82, 45]
Generated Node #0,0: 61:[19, 82, 45] Operation: 90-45=45
Exploring Operation: 90-19=71, Resulting Numbers: [45, 82, 71]
Generated Node #0,1: 61:[45, 82, 71] Operation: 90-19=71
Exploring Operation: 45+19=64, Resulting Numbers: [90, 82, 64]
Generated Node #0,2: 61:[90, 82, 64] Operation: 45+19=64
Exploring Operation: 82-19=63, Resulting Numbers: [90, 45, 63]
Generated Node #0,3: 61:[90, 45, 63] Operation: 82-19=63
Moving to Node #0,1
Current State: 61:[45, 82, 71], Operations: ['90-19=71']
Exploring Operation: 71-45=26, Resulting Numbers: [82, 26]
Generated Node #0,1,0: 61:[82, 26] Operation: 71-45=26
Exploring Operation: 82-45=37, Resulting Numbers: [71, 37]
Generated Node #0,1,1: 61:[71, 37] Operation: 82-45=37
Exploring Operation: 82-71=11, Resulting Numbers: [45, 11]
Generated Node #0,1,2: 61:[45, 11] Operation: 82-71=11
Exploring Operation: 45+82=127, Resulting Numbers: [71, 127]
Generated Node #0,1,3: 61:[71, 127] Operation: 45+82=127
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[71, 37], Operations: ['90-19=71', '82-45=37']
Exploring Operation: 71*37=2627, Resulting Numbers: [2627]
2627,61 unequal: No Solution
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 71+37=108, Resulting Numbers: [108]
108,61 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 #0,1,0
Current State: 61:[82, 26], Operations: ['90-19=71', '71-45=26']
Exploring Operation: 82-26=56, Resulting Numbers: [56]
56,61 unequal: No Solution
Exploring Operation: 82+26=108, Resulting Numbers: [108]
108,61 unequal: No Solution
Exploring Operation: 82*26=2132, Resulting Numbers: [2132]
2132,61 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 #0,1,2
Current State: 61:[45, 11], Operations: ['90-19=71', '82-71=11']
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,61 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,61 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 #0,1,3
Current State: 61:[71, 127], Operations: ['90-19=71', '45+82=127']
Exploring Operation: 71*127=9017, Resulting Numbers: [9017]
9017,61 unequal: No Solution
Exploring Operation: 71+127=198, Resulting Numbers: [198]
198,61 unequal: No Solution
Exploring Operation: 127-71=56, Resulting Numbers: [56]
56,61 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: 61:[90, 45, 63], Operations: ['82-19=63']
Exploring Operation: 63-45=18, Resulting Numbers: [90, 18]
Generated Node #0,3,0: 61:[90, 18] Operation: 63-45=18
Exploring Operation: 90/45=2, Resulting Numbers: [63, 2]
Generated Node #0,3,1: 61:[63, 2] Operation: 90/45=2
Exploring Operation: 90-45=45, Resulting Numbers: [63, 45]
Generated Node #0,3,2: 61:[63, 45] Operation: 90-45=45
Exploring Operation: 90-63=27, Resulting Numbers: [45, 27]
Generated Node #0,3,3: 61:[45, 27] Operation: 90-63=27
Moving to Node #0,2
Current State: 61:[90, 82, 64], Operations: ['45+19=64']
Exploring Operation: 82-64=18, Resulting Numbers: [90, 18]
Generated Node #0,2,0: 61:[90, 18] Operation: 82-64=18
Exploring Operation: 90-82=8, Resulting Numbers: [64, 8]
Generated Node #0,2,1: 61:[64, 8] Operation: 90-82=8
Exploring Operation: 90-64=26, Resulting Numbers: [82, 26]
Generated Node #0,2,2: 61:[82, 26] Operation: 90-64=26
Exploring Operation: 90+82=172, Resulting Numbers: [64, 172]
Generated Node #0,2,3: 61:[64, 172] Operation: 90+82=172
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[64, 8], Operations: ['45+19=64', '90-82=8']
Exploring Operation: 64+8=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 64/8=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,61 unequal: No Solution
Exploring Operation: 64*8=512, Resulting Numbers: [512]
512,61 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 #0,2,2
Current State: 61:[82, 26], Operations: ['45+19=64', '90-64=26']
Exploring Operation: 82-26=56, Resulting Numbers: [56]
56,61 unequal: No Solution
Exploring Operation: 82+26=108, Resulting Numbers: [108]
108,61 unequal: No Solution
Exploring Operation: 82*26=2132, Resulting Numbers: [2132]
2132,61 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 #0,2,0
Current State: 61:[90, 18], Operations: ['45+19=64', '82-64=18']
Exploring Operation: 90*18=1620, Resulting Numbers: [1620]
1620,61 unequal: No Solution
Exploring Operation: 90/18=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Exploring Operation: 90+18=108, Resulting Numbers: [108]
108,61 unequal: No Solution
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,61 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 #0,2,3
Current State: 61:[64, 172], Operations: ['45+19=64', '90+82=172']
Exploring Operation: 64*172=11008, Resulting Numbers: [11008]
11008,61 unequal: No Solution
Exploring Operation: 64+172=236, Resulting Numbers: [236]
236,61 unequal: No Solution
Exploring Operation: 172-64=108, Resulting Numbers: [108]
108,61 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: 61:[19, 82, 45], Operations: ['90-45=45']
Exploring Operation: 19+45=64, Resulting Numbers: [82, 64]
Generated Node #0,0,0: 61:[82, 64] Operation: 19+45=64
Exploring Operation: 45-19=26, Resulting Numbers: [82, 26]
Generated Node #0,0,1: 61:[82, 26] Operation: 45-19=26
Exploring Operation: 82-19=63, Resulting Numbers: [45, 63]
Generated Node #0,0,2: 61:[45, 63] Operation: 82-19=63
Exploring Operation: 19+82=101, Resulting Numbers: [45, 101]
Generated Node #0,0,3: 61:[45, 101] Operation: 19+82=101
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[45, 63], Operations: ['90-45=45', '82-19=63']
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 45+63=108, Resulting Numbers: [108]
108,61 unequal: No Solution
Exploring Operation: 45*63=2835, Resulting Numbers: [2835]
2835,61 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 #0,0,0
Current State: 61:[82, 64], Operations: ['90-45=45', '19+45=64']
Exploring Operation: 82*64=5248, Resulting Numbers: [5248]
5248,61 unequal: No Solution
Exploring Operation: 82+64=146, Resulting Numbers: [146]
146,61 unequal: No Solution
Exploring Operation: 82-64=18, Resulting Numbers: [18]
18,61 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 #0,0,1
Current State: 61:[82, 26], Operations: ['90-45=45', '45-19=26']
Exploring Operation: 82*26=2132, Resulting Numbers: [2132]
2132,61 unequal: No Solution
Exploring Operation: 82-26=56, Resulting Numbers: [56]
56,61 unequal: No Solution
Exploring Operation: 82+26=108, Resulting Numbers: [108]
108,61 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 #0,0,3
Current State: 61:[45, 101], Operations: ['90-45=45', '19+82=101']
Exploring Operation: 101-45=56, Resulting Numbers: [56]
56,61 unequal: No Solution
Exploring Operation: 45*101=4545, Resulting Numbers: [4545]
4545,61 unequal: No Solution
Exploring Operation: 45+101=146, Resulting Numbers: [146]
146,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 61:[63, 45], Operations: ['82-19=63', '90-45=45']
Exploring Operation: 63*45=2835, Resulting Numbers: [2835]
2835,61 unequal: No Solution
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 63+45=108, Resulting Numbers: [108]
108,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[45, 27], Operations: ['82-19=63', '90-63=27']
Exploring Operation: 45+27=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 45*27=1215, Resulting Numbers: [1215]
1215,61 unequal: No Solution
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[63, 2], Operations: ['82-19=63', '90/45=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[90, 45, 19, 82], Operations: []
Exploring Operation: 82-19=63, Resulting Numbers: [90, 45, 63]
Generated Node #0,3: 61:[90, 45, 63] Operation: 82-19=63
Moving to Node #0,3
Current State: 61:[90, 45, 63], Operations: ['82-19=63']
Exploring Operation: 90/45=2, Resulting Numbers: [63, 2]
Generated Node #0,3,1: 61:[63, 2] Operation: 90/45=2
Moving to Node #0,3,1
Current State: 61:[63, 2], Operations: ['82-19=63', '90/45=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 0.940104 | hs_4 | mult_heuristic |
[
42,
8,
14,
96
] | 36 | [
"42/14=3",
"96/8=12",
"3*12=36"
] | Current State: 36:[42, 8, 14, 96], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [8, 96, 3]
Generated Node #2: [8, 96, 3] from Operation: 42/14=3
Current State: 36:[8, 96, 3], Operations: ['42/14=3']
Exploring Operation: 96/8=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 96/8=12
Current State: 36:[3, 12], Operations: ['42/14=3', '96/8=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[42, 8, 14, 96], Operations: []
Exploring Operation: 96-42=54, Resulting Numbers: [8, 14, 54]
Generated Node #0,0: 36:[8, 14, 54] Operation: 96-42=54
Exploring Operation: 96/8=12, Resulting Numbers: [42, 14, 12]
Generated Node #0,1: 36:[42, 14, 12] Operation: 96/8=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[42, 14, 12], Operations: ['96/8=12']
Exploring Operation: 14-12=2, Resulting Numbers: [42, 2]
Generated Node #0,1,0: 36:[42, 2] Operation: 14-12=2
Exploring Operation: 42/14=3, Resulting Numbers: [12, 3]
Generated Node #0,1,1: 36:[12, 3] Operation: 42/14=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 36:[12, 3], Operations: ['96/8=12', '42/14=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[42, 8, 14, 96], Operations: []
Exploring Operation: 96/8=12, Resulting Numbers: [42, 14, 12]
Generated Node #0,1: 36:[42, 14, 12] Operation: 96/8=12
Moving to Node #0,1
Current State: 36:[42, 14, 12], Operations: ['96/8=12']
Exploring Operation: 42/14=3, Resulting Numbers: [12, 3]
Generated Node #0,1,1: 36:[12, 3] Operation: 42/14=3
Moving to Node #0,1,1
Current State: 36:[12, 3], Operations: ['96/8=12', '42/14=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
5,
2,
34,
33
] | 91 | [
"34-5=29",
"2*29=58",
"33+58=91"
] | Current State: 91:[5, 2, 34, 33], Operations: []
Exploring Operation: 34-5=29, Resulting Numbers: [2, 33, 29]
Generated Node #2: [2, 33, 29] from Operation: 34-5=29
Current State: 91:[2, 33, 29], Operations: ['34-5=29']
Exploring Operation: 2*29=58, Resulting Numbers: [33, 58]
Generated Node #3: [33, 58] from Operation: 2*29=58
Current State: 91:[33, 58], Operations: ['34-5=29', '2*29=58']
Exploring Operation: 33+58=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[5, 2, 34, 33], Operations: []
Exploring Operation: 34-33=1, Resulting Numbers: [5, 2, 1]
Generated Node #0,0: 91:[5, 2, 1] Operation: 34-33=1
Exploring Operation: 34+33=67, Resulting Numbers: [5, 2, 67]
Generated Node #0,1: 91:[5, 2, 67] Operation: 34+33=67
Exploring Operation: 5+2=7, Resulting Numbers: [34, 33, 7]
Generated Node #0,2: 91:[34, 33, 7] Operation: 5+2=7
Exploring Operation: 34/2=17, Resulting Numbers: [5, 33, 17]
Generated Node #0,3: 91:[5, 33, 17] Operation: 34/2=17
Moving to Node #0,0
Current State: 91:[5, 2, 1], Operations: ['34-33=1']
Exploring Operation: 5*1=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 91:[2, 5] Operation: 5*1=5
Exploring Operation: 5+1=6, Resulting Numbers: [2, 6]
Generated Node #0,0,1: 91:[2, 6] Operation: 5+1=6
Exploring Operation: 5+2=7, Resulting Numbers: [1, 7]
Generated Node #0,0,2: 91:[1, 7] Operation: 5+2=7
Exploring Operation: 2+1=3, Resulting Numbers: [5, 3]
Generated Node #0,0,3: 91:[5, 3] Operation: 2+1=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[2, 6], Operations: ['34-33=1', '5+1=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,91 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[1, 7], Operations: ['34-33=1', '5+2=7']
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 1*7=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 1+7=8, Resulting Numbers: [8]
8,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 91:[5, 3], Operations: ['34-33=1', '2+1=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[2, 5], Operations: ['34-33=1', '5*1=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,91 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: 91:[5, 33, 17], Operations: ['34/2=17']
Exploring Operation: 33-17=16, Resulting Numbers: [5, 16]
Generated Node #0,3,0: 91:[5, 16] Operation: 33-17=16
Exploring Operation: 5*17=85, Resulting Numbers: [33, 85]
Generated Node #0,3,1: 91:[33, 85] Operation: 5*17=85
Exploring Operation: 17-5=12, Resulting Numbers: [33, 12]
Generated Node #0,3,2: 91:[33, 12] Operation: 17-5=12
Exploring Operation: 33-5=28, Resulting Numbers: [17, 28]
Generated Node #0,3,3: 91:[17, 28] Operation: 33-5=28
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 91:[5, 16], Operations: ['34/2=17', '33-17=16']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,91 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 #0,3,3
Current State: 91:[17, 28], Operations: ['34/2=17', '33-5=28']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,91 unequal: No Solution
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,91 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 #0,3,2
Current State: 91:[33, 12], Operations: ['34/2=17', '17-5=12']
Exploring Operation: 33*12=396, Resulting Numbers: [396]
396,91 unequal: No Solution
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,91 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 #0,3,1
Current State: 91:[33, 85], Operations: ['34/2=17', '5*17=85']
Exploring Operation: 85-33=52, Resulting Numbers: [52]
52,91 unequal: No Solution
Exploring Operation: 33*85=2805, Resulting Numbers: [2805]
2805,91 unequal: No Solution
Exploring Operation: 33+85=118, Resulting Numbers: [118]
118,91 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: 91:[5, 2, 67], Operations: ['34+33=67']
Exploring Operation: 5*2=10, Resulting Numbers: [67, 10]
Generated Node #0,1,0: 91:[67, 10] Operation: 5*2=10
Exploring Operation: 5+2=7, Resulting Numbers: [67, 7]
Generated Node #0,1,1: 91:[67, 7] Operation: 5+2=7
Exploring Operation: 5+67=72, Resulting Numbers: [2, 72]
Generated Node #0,1,2: 91:[2, 72] Operation: 5+67=72
Exploring Operation: 2+67=69, Resulting Numbers: [5, 69]
Generated Node #0,1,3: 91:[5, 69] Operation: 2+67=69
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[67, 7], Operations: ['34+33=67', '5+2=7']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,91 unequal: No Solution
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,91 unequal: No Solution
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,91 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 #0,1,2
Current State: 91:[2, 72], Operations: ['34+33=67', '5+67=72']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,91 unequal: No Solution
Exploring Operation: 2*72=144, Resulting Numbers: [144]
144,91 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,91 unequal: No Solution
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,91 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 #0,1,3
Current State: 91:[5, 69], Operations: ['34+33=67', '2+67=69']
Exploring Operation: 5*69=345, Resulting Numbers: [345]
345,91 unequal: No Solution
Exploring Operation: 5+69=74, Resulting Numbers: [74]
74,91 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,91 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 #0,1,0
Current State: 91:[67, 10], Operations: ['34+33=67', '5*2=10']
Exploring Operation: 67*10=670, Resulting Numbers: [670]
670,91 unequal: No Solution
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,91 unequal: No Solution
Exploring Operation: 67+10=77, Resulting Numbers: [77]
77,91 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: 91:[34, 33, 7], Operations: ['5+2=7']
Exploring Operation: 34+33=67, Resulting Numbers: [7, 67]
Generated Node #0,2,0: 91:[7, 67] Operation: 34+33=67
Exploring Operation: 34-7=27, Resulting Numbers: [33, 27]
Generated Node #0,2,1: 91:[33, 27] Operation: 34-7=27
Exploring Operation: 34-33=1, Resulting Numbers: [7, 1]
Generated Node #0,2,2: 91:[7, 1] Operation: 34-33=1
Exploring Operation: 33-7=26, Resulting Numbers: [34, 26]
Generated Node #0,2,3: 91:[34, 26] Operation: 33-7=26
Moving to Node #0,2,2
Current State: 91:[7, 1], Operations: ['5+2=7', '34-33=1']
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[7, 67], Operations: ['5+2=7', '34+33=67']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,91 unequal: No Solution
Exploring Operation: 7+67=74, Resulting Numbers: [74]
74,91 unequal: No Solution
Exploring Operation: 7*67=469, Resulting Numbers: [469]
469,91 unequal: No Solution
Moving to Node #0,2,3
Current State: 91:[34, 26], Operations: ['5+2=7', '33-7=26']
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,91 unequal: No Solution
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,91 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[33, 27], Operations: ['5+2=7', '34-7=27']
Exploring Operation: 33*27=891, Resulting Numbers: [891]
891,91 unequal: No Solution
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,91 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
79,
95,
53,
39
] | 76 | [
"95-79=16",
"53+39=92",
"92-16=76"
] | Current State: 76:[79, 95, 53, 39], Operations: []
Exploring Operation: 95-79=16, Resulting Numbers: [53, 39, 16]
Generated Node #2: [53, 39, 16] from Operation: 95-79=16
Current State: 76:[53, 39, 16], Operations: ['95-79=16']
Exploring Operation: 53+39=92, Resulting Numbers: [16, 92]
Generated Node #3: [16, 92] from Operation: 53+39=92
Current State: 76:[16, 92], Operations: ['95-79=16', '53+39=92']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[79, 95, 53, 39], Operations: []
Exploring Operation: 95-79=16, Resulting Numbers: [53, 39, 16]
Generated Node #0,0: 76:[53, 39, 16] Operation: 95-79=16
Exploring Operation: 95-53=42, Resulting Numbers: [79, 39, 42]
Generated Node #0,1: 76:[79, 39, 42] Operation: 95-53=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[79, 39, 42], Operations: ['95-53=42']
Exploring Operation: 42-39=3, Resulting Numbers: [79, 3]
Generated Node #0,1,0: 76:[79, 3] Operation: 42-39=3
Exploring Operation: 79-42=37, Resulting Numbers: [39, 37]
Generated Node #0,1,1: 76:[39, 37] Operation: 79-42=37
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[39, 37], Operations: ['95-53=42', '79-42=37']
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[79, 95, 53, 39], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [79, 39, 42]
Generated Node #0,1: 76:[79, 39, 42] Operation: 95-53=42
Moving to Node #0,1
Current State: 76:[79, 39, 42], Operations: ['95-53=42']
Exploring Operation: 79-42=37, Resulting Numbers: [39, 37]
Generated Node #0,1,1: 76:[39, 37] Operation: 79-42=37
Moving to Node #0,1,1
Current State: 76:[39, 37], Operations: ['95-53=42', '79-42=37']
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
44,
70,
99,
59
] | 53 | [
"70-59=11",
"99/11=9",
"44+9=53"
] | Current State: 53:[44, 70, 99, 59], Operations: []
Exploring Operation: 70-59=11, Resulting Numbers: [44, 99, 11]
Generated Node #2: [44, 99, 11] from Operation: 70-59=11
Current State: 53:[44, 99, 11], Operations: ['70-59=11']
Exploring Operation: 99/11=9, Resulting Numbers: [44, 9]
Generated Node #3: [44, 9] from Operation: 99/11=9
Current State: 53:[44, 9], Operations: ['70-59=11', '99/11=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[44, 70, 99, 59], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [44, 59, 29]
Generated Node #0,0: 53:[44, 59, 29] Operation: 99-70=29
Exploring Operation: 99-44=55, Resulting Numbers: [70, 59, 55]
Generated Node #0,1: 53:[70, 59, 55] Operation: 99-44=55
Moving to Node #0,1
Current State: 53:[70, 59, 55], Operations: ['99-44=55']
Exploring Operation: 70-59=11, Resulting Numbers: [55, 11]
Generated Node #0,1,0: 53:[55, 11] Operation: 70-59=11
Exploring Operation: 70-55=15, Resulting Numbers: [59, 15]
Generated Node #0,1,1: 53:[59, 15] Operation: 70-55=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[55, 11], Operations: ['99-44=55', '70-59=11']
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,53 unequal: No Solution
Exploring Operation: 55+11=66, Resulting Numbers: [66]
66,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[59, 15], Operations: ['99-44=55', '70-55=15']
Exploring Operation: 59+15=74, Resulting Numbers: [74]
74,53 unequal: No Solution
Exploring Operation: 59-15=44, Resulting Numbers: [44]
44,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 53:[44, 59, 29], Operations: ['99-70=29']
Exploring Operation: 44+29=73, Resulting Numbers: [59, 73]
Generated Node #0,0,0: 53:[59, 73] Operation: 44+29=73
Exploring Operation: 59-29=30, Resulting Numbers: [44, 30]
Generated Node #0,0,1: 53:[44, 30] Operation: 59-29=30
Moving to Node #0,0,0
Current State: 53:[59, 73], Operations: ['99-70=29', '44+29=73']
Exploring Operation: 59+73=132, Resulting Numbers: [132]
132,53 unequal: No Solution
Exploring Operation: 73-59=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[44, 30], Operations: ['99-70=29', '59-29=30']
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,53 unequal: No Solution
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,53 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
3,
36,
67,
71
] | 27 | [
"3*36=108",
"71-67=4",
"108/4=27"
] | Current State: 27:[3, 36, 67, 71], Operations: []
Exploring Operation: 3*36=108, Resulting Numbers: [67, 71, 108]
Generated Node #2: [67, 71, 108] from Operation: 3*36=108
Current State: 27:[67, 71, 108], Operations: ['3*36=108']
Exploring Operation: 71-67=4, Resulting Numbers: [108, 4]
Generated Node #3: [108, 4] from Operation: 71-67=4
Current State: 27:[108, 4], Operations: ['3*36=108', '71-67=4']
Exploring Operation: 108/4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[3, 36, 67, 71], Operations: []
Exploring Operation: 71-67=4, Resulting Numbers: [3, 36, 4]
Generated Node #0,0: 27:[3, 36, 4] Operation: 71-67=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[3, 36, 4], Operations: ['71-67=4']
Exploring Operation: 36/4=9, Resulting Numbers: [3, 9]
Generated Node #0,0,0: 27:[3, 9] Operation: 36/4=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[3, 9], Operations: ['71-67=4', '36/4=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[3, 36, 67, 71], Operations: []
Exploring Operation: 71-67=4, Resulting Numbers: [3, 36, 4]
Generated Node #0,0: 27:[3, 36, 4] Operation: 71-67=4
Moving to Node #0,0
Current State: 27:[3, 36, 4], Operations: ['71-67=4']
Exploring Operation: 36/4=9, Resulting Numbers: [3, 9]
Generated Node #0,0,0: 27:[3, 9] Operation: 36/4=9
Moving to Node #0,0,0
Current State: 27:[3, 9], Operations: ['71-67=4', '36/4=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
63,
30,
1,
3
] | 90 | [
"63+30=93",
"1*3=3",
"93-3=90"
] | Current State: 90:[63, 30, 1, 3], Operations: []
Exploring Operation: 63+30=93, Resulting Numbers: [1, 3, 93]
Generated Node #2: [1, 3, 93] from Operation: 63+30=93
Current State: 90:[1, 3, 93], Operations: ['63+30=93']
Exploring Operation: 1*3=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 1*3=3
Current State: 90:[93, 3], Operations: ['63+30=93', '1*3=3']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[63, 30, 1, 3], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [30, 1, 21]
Generated Node #0,0: 90:[30, 1, 21] Operation: 63/3=21
Exploring Operation: 63+30=93, Resulting Numbers: [1, 3, 93]
Generated Node #0,1: 90:[1, 3, 93] Operation: 63+30=93
Exploring Operation: 63-3=60, Resulting Numbers: [30, 1, 60]
Generated Node #0,2: 90:[30, 1, 60] Operation: 63-3=60
Exploring Operation: 63-30=33, Resulting Numbers: [1, 3, 33]
Generated Node #0,3: 90:[1, 3, 33] Operation: 63-30=33
Exploring Operation: 63-1=62, Resulting Numbers: [30, 3, 62]
Generated Node #0,4: 90:[30, 3, 62] Operation: 63-1=62
Moving to Node #0,0
Current State: 90:[30, 1, 21], Operations: ['63/3=21']
Exploring Operation: 30*1=30, Resulting Numbers: [21, 30]
Generated Node #0,0,0: 90:[21, 30] Operation: 30*1=30
Exploring Operation: 21-1=20, Resulting Numbers: [30, 20]
Generated Node #0,0,1: 90:[30, 20] Operation: 21-1=20
Exploring Operation: 30/1=30, Resulting Numbers: [21, 30]
Generated Node #0,0,2: 90:[21, 30] Operation: 30/1=30
Exploring Operation: 30-21=9, Resulting Numbers: [1, 9]
Generated Node #0,0,3: 90:[1, 9] Operation: 30-21=9
Exploring Operation: 1*21=21, Resulting Numbers: [30, 21]
Generated Node #0,0,4: 90:[30, 21] Operation: 1*21=21
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 90:[1, 9], Operations: ['63/3=21', '30-21=9']
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,90 unequal: No Solution
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,90 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 #0,0,1
Current State: 90:[30, 20], Operations: ['63/3=21', '21-1=20']
Exploring Operation: 30*20=600, Resulting Numbers: [600]
600,90 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,90 unequal: No Solution
Exploring Operation: 30+20=50, Resulting Numbers: [50]
50,90 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 #0,0,0
Current State: 90:[21, 30], Operations: ['63/3=21', '30*1=30']
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,90 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,90 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 #0,0,2
Current State: 90:[21, 30], Operations: ['63/3=21', '30/1=30']
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,90 unequal: No Solution
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,90 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,90 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 #0,0,4
Current State: 90:[30, 21], Operations: ['63/3=21', '1*21=21']
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,90 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,90 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: 90:[1, 3, 33], Operations: ['63-30=33']
Exploring Operation: 3-1=2, Resulting Numbers: [33, 2]
Generated Node #0,3,0: 90:[33, 2] Operation: 3-1=2
Exploring Operation: 33/3=11, Resulting Numbers: [1, 11]
Generated Node #0,3,1: 90:[1, 11] Operation: 33/3=11
Exploring Operation: 33-1=32, Resulting Numbers: [3, 32]
Generated Node #0,3,2: 90:[3, 32] Operation: 33-1=32
Exploring Operation: 33-3=30, Resulting Numbers: [1, 30]
Generated Node #0,3,3: 90:[1, 30] Operation: 33-3=30
Exploring Operation: 1*3=3, Resulting Numbers: [33, 3]
Generated Node #0,3,4: 90:[33, 3] Operation: 1*3=3
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 90:[1, 30], Operations: ['63-30=33', '33-3=30']
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,90 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,90 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 #0,3,1
Current State: 90:[1, 11], Operations: ['63-30=33', '33/3=11']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,90 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 1+11=12, Resulting Numbers: [12]
12,90 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 #0,3,2
Current State: 90:[3, 32], Operations: ['63-30=33', '33-1=32']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,90 unequal: No Solution
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,90 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 #0,3,0
Current State: 90:[33, 2], Operations: ['63-30=33', '3-1=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,90 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,90 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 #0,3,4
Current State: 90:[33, 3], Operations: ['63-30=33', '1*3=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,90 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,90 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,90 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: 90:[1, 3, 93], Operations: ['63+30=93']
Exploring Operation: 93-3=90, Resulting Numbers: [1, 90]
Generated Node #0,1,0: 90:[1, 90] Operation: 93-3=90
Exploring Operation: 1*3=3, Resulting Numbers: [93, 3]
Generated Node #0,1,1: 90:[93, 3] Operation: 1*3=3
Exploring Operation: 93-1=92, Resulting Numbers: [3, 92]
Generated Node #0,1,2: 90:[3, 92] Operation: 93-1=92
Exploring Operation: 3-1=2, Resulting Numbers: [93, 2]
Generated Node #0,1,3: 90:[93, 2] Operation: 3-1=2
Exploring Operation: 93/3=31, Resulting Numbers: [1, 31]
Generated Node #0,1,4: 90:[1, 31] Operation: 93/3=31
Moving to Node #0,2
Current State: 90:[30, 1, 60], Operations: ['63-3=60']
Exploring Operation: 60-1=59, Resulting Numbers: [30, 59]
Generated Node #0,2,0: 90:[30, 59] Operation: 60-1=59
Exploring Operation: 30*1=30, Resulting Numbers: [60, 30]
Generated Node #0,2,1: 90:[60, 30] Operation: 30*1=30
Exploring Operation: 60-30=30, Resulting Numbers: [1, 30]
Generated Node #0,2,2: 90:[1, 30] Operation: 60-30=30
Exploring Operation: 60/30=2, Resulting Numbers: [1, 2]
Generated Node #0,2,3: 90:[1, 2] Operation: 60/30=2
Exploring Operation: 30+60=90, Resulting Numbers: [1, 90]
Generated Node #0,2,4: 90:[1, 90] Operation: 30+60=90
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 90:[1, 30], Operations: ['63-3=60', '60-30=30']
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,90 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,90 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 #0,2,3
Current State: 90:[1, 2], Operations: ['63-3=60', '60/30=2']
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,90 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,90 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 #0,2,4
Current State: 90:[1, 90], Operations: ['63-3=60', '30+60=90']
Exploring Operation: 1+90=91, Resulting Numbers: [91]
91,90 unequal: No Solution
Exploring Operation: 1*90=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[63, 30, 1, 3], Operations: []
Exploring Operation: 63-3=60, Resulting Numbers: [30, 1, 60]
Generated Node #0,2: 90:[30, 1, 60] Operation: 63-3=60
Moving to Node #0,2
Current State: 90:[30, 1, 60], Operations: ['63-3=60']
Exploring Operation: 30+60=90, Resulting Numbers: [1, 90]
Generated Node #0,2,4: 90:[1, 90] Operation: 30+60=90
Moving to Node #0,2,4
Current State: 90:[1, 90], Operations: ['63-3=60', '30+60=90']
Exploring Operation: 1*90=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.936632 | hs_5 | sum_heuristic |
[
2,
8,
3,
51
] | 68 | [
"8/2=4",
"51/3=17",
"4*17=68"
] | Current State: 68:[2, 8, 3, 51], Operations: []
Exploring Operation: 8/2=4, Resulting Numbers: [3, 51, 4]
Generated Node #2: [3, 51, 4] from Operation: 8/2=4
Current State: 68:[3, 51, 4], Operations: ['8/2=4']
Exploring Operation: 51/3=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 51/3=17
Current State: 68:[4, 17], Operations: ['8/2=4', '51/3=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[2, 8, 3, 51], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [2, 8, 17]
Generated Node #0,0: 68:[2, 8, 17] Operation: 51/3=17
Exploring Operation: 8/2=4, Resulting Numbers: [3, 51, 4]
Generated Node #0,1: 68:[3, 51, 4] Operation: 8/2=4
Exploring Operation: 51-8=43, Resulting Numbers: [2, 3, 43]
Generated Node #0,2: 68:[2, 3, 43] Operation: 51-8=43
Exploring Operation: 8+51=59, Resulting Numbers: [2, 3, 59]
Generated Node #0,3: 68:[2, 3, 59] Operation: 8+51=59
Exploring Operation: 8-3=5, Resulting Numbers: [2, 51, 5]
Generated Node #0,4: 68:[2, 51, 5] Operation: 8-3=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[2, 8, 17], Operations: ['51/3=17']
Exploring Operation: 2*8=16, Resulting Numbers: [17, 16]
Generated Node #0,0,0: 68:[17, 16] Operation: 2*8=16
Exploring Operation: 8/2=4, Resulting Numbers: [17, 4]
Generated Node #0,0,1: 68:[17, 4] Operation: 8/2=4
Exploring Operation: 2*17=34, Resulting Numbers: [8, 34]
Generated Node #0,0,2: 68:[8, 34] Operation: 2*17=34
Exploring Operation: 17-8=9, Resulting Numbers: [2, 9]
Generated Node #0,0,3: 68:[2, 9] Operation: 17-8=9
Exploring Operation: 8-2=6, Resulting Numbers: [17, 6]
Generated Node #0,0,4: 68:[17, 6] Operation: 8-2=6
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 68:[17, 4], Operations: ['51/3=17', '8/2=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[2, 8, 3, 51], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [2, 8, 17]
Generated Node #0,0: 68:[2, 8, 17] Operation: 51/3=17
Moving to Node #0,0
Current State: 68:[2, 8, 17], Operations: ['51/3=17']
Exploring Operation: 8/2=4, Resulting Numbers: [17, 4]
Generated Node #0,0,1: 68:[17, 4] Operation: 8/2=4
Moving to Node #0,0,1
Current State: 68:[17, 4], Operations: ['51/3=17', '8/2=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
26,
34,
14,
43
] | 28 | [
"43-26=17",
"34*14=476",
"476/17=28"
] | Current State: 28:[26, 34, 14, 43], Operations: []
Exploring Operation: 43-26=17, Resulting Numbers: [34, 14, 17]
Generated Node #2: [34, 14, 17] from Operation: 43-26=17
Current State: 28:[34, 14, 17], Operations: ['43-26=17']
Exploring Operation: 34*14=476, Resulting Numbers: [17, 476]
Generated Node #3: [17, 476] from Operation: 34*14=476
Current State: 28:[17, 476], Operations: ['43-26=17', '34*14=476']
Exploring Operation: 476/17=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[26, 34, 14, 43], Operations: []
Exploring Operation: 43-26=17, Resulting Numbers: [34, 14, 17]
Generated Node #0,0: 28:[34, 14, 17] Operation: 43-26=17
Exploring Operation: 34-26=8, Resulting Numbers: [14, 43, 8]
Generated Node #0,1: 28:[14, 43, 8] Operation: 34-26=8
Exploring Operation: 43-34=9, Resulting Numbers: [26, 14, 9]
Generated Node #0,2: 28:[26, 14, 9] Operation: 43-34=9
Exploring Operation: 43-14=29, Resulting Numbers: [26, 34, 29]
Generated Node #0,3: 28:[26, 34, 29] Operation: 43-14=29
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[26, 14, 9], Operations: ['43-34=9']
Exploring Operation: 14-9=5, Resulting Numbers: [26, 5]
Generated Node #0,2,0: 28:[26, 5] Operation: 14-9=5
Exploring Operation: 26+9=35, Resulting Numbers: [14, 35]
Generated Node #0,2,1: 28:[14, 35] Operation: 26+9=35
Exploring Operation: 26-9=17, Resulting Numbers: [14, 17]
Generated Node #0,2,2: 28:[14, 17] Operation: 26-9=17
Exploring Operation: 26-14=12, Resulting Numbers: [9, 12]
Generated Node #0,2,3: 28:[9, 12] Operation: 26-14=12
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[26, 5], Operations: ['43-34=9', '14-9=5']
Exploring Operation: 26*5=130, Resulting Numbers: [130]
130,28 unequal: No Solution
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,28 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 28:[14, 17], Operations: ['43-34=9', '26-9=17']
Exploring Operation: 14*17=238, Resulting Numbers: [238]
238,28 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,28 unequal: No Solution
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 28:[9, 12], Operations: ['43-34=9', '26-14=12']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,28 unequal: No Solution
Exploring Operation: 9*12=108, Resulting Numbers: [108]
108,28 unequal: No Solution
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 28:[14, 35], Operations: ['43-34=9', '26+9=35']
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,28 unequal: No Solution
Exploring Operation: 14*35=490, Resulting Numbers: [490]
490,28 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[34, 14, 17], Operations: ['43-26=17']
Exploring Operation: 34-17=17, Resulting Numbers: [14, 17]
Generated Node #0,0,0: 28:[14, 17] Operation: 34-17=17
Exploring Operation: 34-14=20, Resulting Numbers: [17, 20]
Generated Node #0,0,1: 28:[17, 20] Operation: 34-14=20
Exploring Operation: 34/17=2, Resulting Numbers: [14, 2]
Generated Node #0,0,2: 28:[14, 2] Operation: 34/17=2
Exploring Operation: 17-14=3, Resulting Numbers: [34, 3]
Generated Node #0,0,3: 28:[34, 3] Operation: 17-14=3
Moving to Node #0,0,2
Current State: 28:[14, 2], Operations: ['43-26=17', '34/17=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[26, 34, 14, 43], Operations: []
Exploring Operation: 43-26=17, Resulting Numbers: [34, 14, 17]
Generated Node #0,0: 28:[34, 14, 17] Operation: 43-26=17
Moving to Node #0,0
Current State: 28:[34, 14, 17], Operations: ['43-26=17']
Exploring Operation: 34/17=2, Resulting Numbers: [14, 2]
Generated Node #0,0,2: 28:[14, 2] Operation: 34/17=2
Moving to Node #0,0,2
Current State: 28:[14, 2], Operations: ['43-26=17', '34/17=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | sum_heuristic |
[
57,
82,
98,
16
] | 89 | [
"82-57=25",
"98+16=114",
"114-25=89"
] | Current State: 89:[57, 82, 98, 16], Operations: []
Exploring Operation: 82-57=25, Resulting Numbers: [98, 16, 25]
Generated Node #2: [98, 16, 25] from Operation: 82-57=25
Current State: 89:[98, 16, 25], Operations: ['82-57=25']
Exploring Operation: 98+16=114, Resulting Numbers: [25, 114]
Generated Node #3: [25, 114] from Operation: 98+16=114
Current State: 89:[25, 114], Operations: ['82-57=25', '98+16=114']
Exploring Operation: 114-25=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[57, 82, 98, 16], Operations: []
Exploring Operation: 57+16=73, Resulting Numbers: [82, 98, 73]
Generated Node #0,0: 89:[82, 98, 73] Operation: 57+16=73
Exploring Operation: 82-16=66, Resulting Numbers: [57, 98, 66]
Generated Node #0,1: 89:[57, 98, 66] Operation: 82-16=66
Exploring Operation: 82+16=98, Resulting Numbers: [57, 98, 98]
Generated Node #0,2: 89:[57, 98, 98] Operation: 82+16=98
Exploring Operation: 98-16=82, Resulting Numbers: [57, 82, 82]
Generated Node #0,3: 89:[57, 82, 82] Operation: 98-16=82
Exploring Operation: 57-16=41, Resulting Numbers: [82, 98, 41]
Generated Node #0,4: 89:[82, 98, 41] Operation: 57-16=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[82, 98, 73], Operations: ['57+16=73']
Exploring Operation: 98-82=16, Resulting Numbers: [73, 16]
Generated Node #0,0,0: 89:[73, 16] Operation: 98-82=16
Exploring Operation: 82+73=155, Resulting Numbers: [98, 155]
Generated Node #0,0,1: 89:[98, 155] Operation: 82+73=155
Exploring Operation: 98+73=171, Resulting Numbers: [82, 171]
Generated Node #0,0,2: 89:[82, 171] Operation: 98+73=171
Exploring Operation: 98-73=25, Resulting Numbers: [82, 25]
Generated Node #0,0,3: 89:[82, 25] Operation: 98-73=25
Exploring Operation: 82-73=9, Resulting Numbers: [98, 9]
Generated Node #0,0,4: 89:[98, 9] Operation: 82-73=9
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 89:[82, 25], Operations: ['57+16=73', '98-73=25']
Exploring Operation: 82*25=2050, Resulting Numbers: [2050]
2050,89 unequal: No Solution
Exploring Operation: 82-25=57, Resulting Numbers: [57]
57,89 unequal: No Solution
Exploring Operation: 82+25=107, Resulting Numbers: [107]
107,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[98, 155], Operations: ['57+16=73', '82+73=155']
Exploring Operation: 98*155=15190, Resulting Numbers: [15190]
15190,89 unequal: No Solution
Exploring Operation: 155-98=57, Resulting Numbers: [57]
57,89 unequal: No Solution
Exploring Operation: 98+155=253, Resulting Numbers: [253]
253,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[73, 16], Operations: ['57+16=73', '98-82=16']
Exploring Operation: 73+16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[57, 82, 98, 16], Operations: []
Exploring Operation: 57+16=73, Resulting Numbers: [82, 98, 73]
Generated Node #0,0: 89:[82, 98, 73] Operation: 57+16=73
Moving to Node #0,0
Current State: 89:[82, 98, 73], Operations: ['57+16=73']
Exploring Operation: 98-82=16, Resulting Numbers: [73, 16]
Generated Node #0,0,0: 89:[73, 16] Operation: 98-82=16
Moving to Node #0,0,0
Current State: 89:[73, 16], Operations: ['57+16=73', '98-82=16']
Exploring Operation: 73+16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
94,
81,
23,
20
] | 39 | [
"94-81=13",
"23-20=3",
"13*3=39"
] | Current State: 39:[94, 81, 23, 20], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [23, 20, 13]
Generated Node #2: [23, 20, 13] from Operation: 94-81=13
Current State: 39:[23, 20, 13], Operations: ['94-81=13']
Exploring Operation: 23-20=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 23-20=3
Current State: 39:[13, 3], Operations: ['94-81=13', '23-20=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[94, 81, 23, 20], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [23, 20, 13]
Generated Node #0,0: 39:[23, 20, 13] Operation: 94-81=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[23, 20, 13], Operations: ['94-81=13']
Exploring Operation: 23-20=3, Resulting Numbers: [13, 3]
Generated Node #0,0,0: 39:[13, 3] Operation: 23-20=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[13, 3], Operations: ['94-81=13', '23-20=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[94, 81, 23, 20], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [23, 20, 13]
Generated Node #0,0: 39:[23, 20, 13] Operation: 94-81=13
Moving to Node #0,0
Current State: 39:[23, 20, 13], Operations: ['94-81=13']
Exploring Operation: 23-20=3, Resulting Numbers: [13, 3]
Generated Node #0,0,0: 39:[13, 3] Operation: 23-20=3
Moving to Node #0,0,0
Current State: 39:[13, 3], Operations: ['94-81=13', '23-20=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
31,
33,
58,
37
] | 17 | [
"31*33=1023",
"1023-37=986",
"986/58=17"
] | Current State: 17:[31, 33, 58, 37], Operations: []
Exploring Operation: 31*33=1023, Resulting Numbers: [58, 37, 1023]
Generated Node #2: [58, 37, 1023] from Operation: 31*33=1023
Current State: 17:[58, 37, 1023], Operations: ['31*33=1023']
Exploring Operation: 1023-37=986, Resulting Numbers: [58, 986]
Generated Node #3: [58, 986] from Operation: 1023-37=986
Current State: 17:[58, 986], Operations: ['31*33=1023', '1023-37=986']
Exploring Operation: 986/58=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[31, 33, 58, 37], Operations: []
Exploring Operation: 58-31=27, Resulting Numbers: [33, 37, 27]
Generated Node #0,0: 17:[33, 37, 27] Operation: 58-31=27
Exploring Operation: 58-33=25, Resulting Numbers: [31, 37, 25]
Generated Node #0,1: 17:[31, 37, 25] Operation: 58-33=25
Exploring Operation: 37-31=6, Resulting Numbers: [33, 58, 6]
Generated Node #0,2: 17:[33, 58, 6] Operation: 37-31=6
Exploring Operation: 37-33=4, Resulting Numbers: [31, 58, 4]
Generated Node #0,3: 17:[31, 58, 4] Operation: 37-33=4
Exploring Operation: 58-37=21, Resulting Numbers: [31, 33, 21]
Generated Node #0,4: 17:[31, 33, 21] Operation: 58-37=21
Moving to Node #0,4
Current State: 17:[31, 33, 21], Operations: ['58-37=21']
Exploring Operation: 31-21=10, Resulting Numbers: [33, 10]
Generated Node #0,4,0: 17:[33, 10] Operation: 31-21=10
Exploring Operation: 33-21=12, Resulting Numbers: [31, 12]
Generated Node #0,4,1: 17:[31, 12] Operation: 33-21=12
Exploring Operation: 31+21=52, Resulting Numbers: [33, 52]
Generated Node #0,4,2: 17:[33, 52] Operation: 31+21=52
Exploring Operation: 33-31=2, Resulting Numbers: [21, 2]
Generated Node #0,4,3: 17:[21, 2] Operation: 33-31=2
Exploring Operation: 31+33=64, Resulting Numbers: [21, 64]
Generated Node #0,4,4: 17:[21, 64] Operation: 31+33=64
Moving to Node #0,1
Current State: 17:[31, 37, 25], Operations: ['58-33=25']
Exploring Operation: 37-31=6, Resulting Numbers: [25, 6]
Generated Node #0,1,0: 17:[25, 6] Operation: 37-31=6
Exploring Operation: 31+37=68, Resulting Numbers: [25, 68]
Generated Node #0,1,1: 17:[25, 68] Operation: 31+37=68
Exploring Operation: 31-25=6, Resulting Numbers: [37, 6]
Generated Node #0,1,2: 17:[37, 6] Operation: 31-25=6
Exploring Operation: 37-25=12, Resulting Numbers: [31, 12]
Generated Node #0,1,3: 17:[31, 12] Operation: 37-25=12
Exploring Operation: 31+25=56, Resulting Numbers: [37, 56]
Generated Node #0,1,4: 17:[37, 56] Operation: 31+25=56
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 17:[25, 6], Operations: ['58-33=25', '37-31=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,17 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 17:[31, 12], Operations: ['58-33=25', '37-25=12']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 31*12=372, Resulting Numbers: [372]
372,17 unequal: No Solution
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 17:[37, 6], Operations: ['58-33=25', '31-25=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,17 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 17:[25, 68], Operations: ['58-33=25', '31+37=68']
Exploring Operation: 25+68=93, Resulting Numbers: [93]
93,17 unequal: No Solution
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Exploring Operation: 25*68=1700, Resulting Numbers: [1700]
1700,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 17:[37, 56], Operations: ['58-33=25', '31+25=56']
Exploring Operation: 37*56=2072, Resulting Numbers: [2072]
2072,17 unequal: No Solution
Exploring Operation: 37+56=93, Resulting Numbers: [93]
93,17 unequal: No Solution
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 17:[33, 37, 27], Operations: ['58-31=27']
Exploring Operation: 33+27=60, Resulting Numbers: [37, 60]
Generated Node #0,0,0: 17:[37, 60] Operation: 33+27=60
Exploring Operation: 37-27=10, Resulting Numbers: [33, 10]
Generated Node #0,0,1: 17:[33, 10] Operation: 37-27=10
Exploring Operation: 33+37=70, Resulting Numbers: [27, 70]
Generated Node #0,0,2: 17:[27, 70] Operation: 33+37=70
Exploring Operation: 33-27=6, Resulting Numbers: [37, 6]
Generated Node #0,0,3: 17:[37, 6] Operation: 33-27=6
Exploring Operation: 37-33=4, Resulting Numbers: [27, 4]
Generated Node #0,0,4: 17:[27, 4] Operation: 37-33=4
Moving to Node #0,2
Current State: 17:[33, 58, 6], Operations: ['37-31=6']
Exploring Operation: 58-33=25, Resulting Numbers: [6, 25]
Generated Node #0,2,0: 17:[6, 25] Operation: 58-33=25
Exploring Operation: 33+6=39, Resulting Numbers: [58, 39]
Generated Node #0,2,1: 17:[58, 39] Operation: 33+6=39
Exploring Operation: 58-6=52, Resulting Numbers: [33, 52]
Generated Node #0,2,2: 17:[33, 52] Operation: 58-6=52
Exploring Operation: 33-6=27, Resulting Numbers: [58, 27]
Generated Node #0,2,3: 17:[58, 27] Operation: 33-6=27
Exploring Operation: 58+6=64, Resulting Numbers: [33, 64]
Generated Node #0,2,4: 17:[33, 64] Operation: 58+6=64
Moving to Node #0,3
Current State: 17:[31, 58, 4], Operations: ['37-33=4']
Exploring Operation: 58-31=27, Resulting Numbers: [4, 27]
Generated Node #0,3,0: 17:[4, 27] Operation: 58-31=27
Exploring Operation: 58+4=62, Resulting Numbers: [31, 62]
Generated Node #0,3,1: 17:[31, 62] Operation: 58+4=62
Exploring Operation: 31+4=35, Resulting Numbers: [58, 35]
Generated Node #0,3,2: 17:[58, 35] Operation: 31+4=35
Exploring Operation: 58-4=54, Resulting Numbers: [31, 54]
Generated Node #0,3,3: 17:[31, 54] Operation: 58-4=54
Exploring Operation: 31-4=27, Resulting Numbers: [58, 27]
Generated Node #0,3,4: 17:[58, 27] Operation: 31-4=27
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 17:[4, 27], Operations: ['37-33=4', '58-31=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,17 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 #0,3,3
Current State: 17:[31, 54], Operations: ['37-33=4', '58-4=54']
Exploring Operation: 31*54=1674, Resulting Numbers: [1674]
1674,17 unequal: No Solution
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 31+54=85, Resulting Numbers: [85]
85,17 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 #0,3,4
Current State: 17:[58, 27], Operations: ['37-33=4', '31-4=27']
Exploring Operation: 58+27=85, Resulting Numbers: [85]
85,17 unequal: No Solution
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 58*27=1566, Resulting Numbers: [1566]
1566,17 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 #0,3,1
Current State: 17:[31, 62], Operations: ['37-33=4', '58+4=62']
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 31+62=93, Resulting Numbers: [93]
93,17 unequal: No Solution
Exploring Operation: 62/31=2, Resulting Numbers: [2]
2,17 unequal: No Solution
Exploring Operation: 31*62=1922, Resulting Numbers: [1922]
1922,17 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 #0,3,2
Current State: 17:[58, 35], Operations: ['37-33=4', '31+4=35']
Exploring Operation: 58*35=2030, Resulting Numbers: [2030]
2030,17 unequal: No Solution
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 58+35=93, Resulting Numbers: [93]
93,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,1
Current State: 17:[31, 12], Operations: ['58-37=21', '33-21=12']
Exploring Operation: 31*12=372, Resulting Numbers: [372]
372,17 unequal: No Solution
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Moving to Node #0,4,3
Current State: 17:[21, 2], Operations: ['58-37=21', '33-31=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,17 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Moving to Node #0,2,0
Current State: 17:[6, 25], Operations: ['37-31=6', '58-33=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,17 unequal: No Solution
Moving to Node #0,4,0
Current State: 17:[33, 10], Operations: ['58-37=21', '31-21=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,17 unequal: No Solution
Moving to Node #0,0,4
Current State: 17:[27, 4], Operations: ['58-31=27', '37-33=4']
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[33, 10], Operations: ['58-31=27', '37-27=10']
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,17 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[37, 6], Operations: ['58-31=27', '33-27=6']
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,17 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Moving to Node #0,2,3
Current State: 17:[58, 27], Operations: ['37-31=6', '33-6=27']
Exploring Operation: 58*27=1566, Resulting Numbers: [1566]
1566,17 unequal: No Solution
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 58+27=85, Resulting Numbers: [85]
85,17 unequal: No Solution
Moving to Node #0,2,2
Current State: 17:[33, 52], Operations: ['37-31=6', '58-6=52']
Exploring Operation: 33+52=85, Resulting Numbers: [85]
85,17 unequal: No Solution
Exploring Operation: 33*52=1716, Resulting Numbers: [1716]
1716,17 unequal: No Solution
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Moving to Node #0,4,4
Current State: 17:[21, 64], Operations: ['58-37=21', '31+33=64']
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Exploring Operation: 21+64=85, Resulting Numbers: [85]
85,17 unequal: No Solution
Exploring Operation: 21*64=1344, Resulting Numbers: [1344]
1344,17 unequal: No Solution
Moving to Node #0,4,2
Current State: 17:[33, 52], Operations: ['58-37=21', '31+21=52']
Exploring Operation: 33*52=1716, Resulting Numbers: [1716]
1716,17 unequal: No Solution
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 33+52=85, Resulting Numbers: [85]
85,17 unequal: No Solution
Moving to Node #0,2,4
Current State: 17:[33, 64], Operations: ['37-31=6', '58+6=64']
Exploring Operation: 33+64=97, Resulting Numbers: [97]
97,17 unequal: No Solution
Exploring Operation: 33*64=2112, Resulting Numbers: [2112]
2112,17 unequal: No Solution
Exploring Operation: 64-33=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[37, 60], Operations: ['58-31=27', '33+27=60']
Exploring Operation: 37+60=97, Resulting Numbers: [97]
97,17 unequal: No Solution
Exploring Operation: 60-37=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 37*60=2220, Resulting Numbers: [2220]
2220,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[27, 70], Operations: ['58-31=27', '33+37=70']
Exploring Operation: 27*70=1890, Resulting Numbers: [1890]
1890,17 unequal: No Solution
Exploring Operation: 70-27=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Exploring Operation: 27+70=97, Resulting Numbers: [97]
97,17 unequal: No Solution
Moving to Node #0,2,1
Current State: 17:[58, 39], Operations: ['37-31=6', '33+6=39']
Exploring Operation: 58-39=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 58+39=97, Resulting Numbers: [97]
97,17 unequal: No Solution
Exploring Operation: 58*39=2262, Resulting Numbers: [2262]
2262,17 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
4,
72,
68,
75
] | 91 | [
"72-68=4",
"4*4=16",
"75+16=91"
] | Current State: 91:[4, 72, 68, 75], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [4, 75, 4]
Generated Node #2: [4, 75, 4] from Operation: 72-68=4
Current State: 91:[4, 75, 4], Operations: ['72-68=4']
Exploring Operation: 4*4=16, Resulting Numbers: [75, 16]
Generated Node #3: [75, 16] from Operation: 4*4=16
Current State: 91:[75, 16], Operations: ['72-68=4', '4*4=16']
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[4, 72, 68, 75], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [4, 68, 3]
Generated Node #0,0: 91:[4, 68, 3] Operation: 75-72=3
Exploring Operation: 75-68=7, Resulting Numbers: [4, 72, 7]
Generated Node #0,1: 91:[4, 72, 7] Operation: 75-68=7
Exploring Operation: 72-68=4, Resulting Numbers: [4, 75, 4]
Generated Node #0,2: 91:[4, 75, 4] Operation: 72-68=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[4, 72, 7], Operations: ['75-68=7']
Exploring Operation: 72+7=79, Resulting Numbers: [4, 79]
Generated Node #0,1,0: 91:[4, 79] Operation: 72+7=79
Exploring Operation: 4+72=76, Resulting Numbers: [7, 76]
Generated Node #0,1,1: 91:[7, 76] Operation: 4+72=76
Exploring Operation: 72/4=18, Resulting Numbers: [7, 18]
Generated Node #0,1,2: 91:[7, 18] Operation: 72/4=18
Moving to Node #0,1,2
Current State: 91:[7, 18], Operations: ['75-68=7', '72/4=18']
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[4, 79], Operations: ['75-68=7', '72+7=79']
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,91 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 4*79=316, Resulting Numbers: [316]
316,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[7, 76], Operations: ['75-68=7', '4+72=76']
Exploring Operation: 7*76=532, Resulting Numbers: [532]
532,91 unequal: No Solution
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,91 unequal: No Solution
Exploring Operation: 7+76=83, Resulting Numbers: [83]
83,91 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 #0,2
Current State: 91:[4, 75, 4], Operations: ['72-68=4']
Exploring Operation: 4+75=79, Resulting Numbers: [4, 79]
Generated Node #0,2,0: 91:[4, 79] Operation: 4+75=79
Exploring Operation: 75+4=79, Resulting Numbers: [4, 79]
Generated Node #0,2,1: 91:[4, 79] Operation: 75+4=79
Exploring Operation: 4+4=8, Resulting Numbers: [75, 8]
Generated Node #0,2,2: 91:[75, 8] Operation: 4+4=8
Moving to Node #0,2,0
Current State: 91:[4, 79], Operations: ['72-68=4', '4+75=79']
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,91 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 4*79=316, Resulting Numbers: [316]
316,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[4, 79], Operations: ['72-68=4', '75+4=79']
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,91 unequal: No Solution
Exploring Operation: 4*79=316, Resulting Numbers: [316]
316,91 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[75, 8], Operations: ['72-68=4', '4+4=8']
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,91 unequal: No Solution
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,91 unequal: No Solution
Exploring Operation: 75*8=600, Resulting Numbers: [600]
600,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[4, 68, 3], Operations: ['75-72=3']
Exploring Operation: 68/4=17, Resulting Numbers: [3, 17]
Generated Node #0,0,0: 91:[3, 17] Operation: 68/4=17
Exploring Operation: 4+3=7, Resulting Numbers: [68, 7]
Generated Node #0,0,1: 91:[68, 7] Operation: 4+3=7
Exploring Operation: 4+68=72, Resulting Numbers: [3, 72]
Generated Node #0,0,2: 91:[3, 72] Operation: 4+68=72
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[3, 17], Operations: ['75-72=3', '68/4=17']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[68, 7], Operations: ['75-72=3', '4+3=7']
Exploring Operation: 68+7=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 68*7=476, Resulting Numbers: [476]
476,91 unequal: No Solution
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 91:[3, 72], Operations: ['75-72=3', '4+68=72']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,91 unequal: No Solution
Exploring Operation: 3+72=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
7,
76,
85,
74
] | 94 | [
"7+76=83",
"85-74=11",
"83+11=94"
] | Current State: 94:[7, 76, 85, 74], Operations: []
Exploring Operation: 7+76=83, Resulting Numbers: [85, 74, 83]
Generated Node #2: [85, 74, 83] from Operation: 7+76=83
Current State: 94:[85, 74, 83], Operations: ['7+76=83']
Exploring Operation: 85-74=11, Resulting Numbers: [83, 11]
Generated Node #3: [83, 11] from Operation: 85-74=11
Current State: 94:[83, 11], Operations: ['7+76=83', '85-74=11']
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[7, 76, 85, 74], Operations: []
Exploring Operation: 7+76=83, Resulting Numbers: [85, 74, 83]
Generated Node #0,0: 94:[85, 74, 83] Operation: 7+76=83
Exploring Operation: 76-74=2, Resulting Numbers: [7, 85, 2]
Generated Node #0,1: 94:[7, 85, 2] Operation: 76-74=2
Exploring Operation: 85-76=9, Resulting Numbers: [7, 74, 9]
Generated Node #0,2: 94:[7, 74, 9] Operation: 85-76=9
Exploring Operation: 85-74=11, Resulting Numbers: [7, 76, 11]
Generated Node #0,3: 94:[7, 76, 11] Operation: 85-74=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[7, 85, 2], Operations: ['76-74=2']
Exploring Operation: 85+2=87, Resulting Numbers: [7, 87]
Generated Node #0,1,0: 94:[7, 87] Operation: 85+2=87
Exploring Operation: 85-7=78, Resulting Numbers: [2, 78]
Generated Node #0,1,1: 94:[2, 78] Operation: 85-7=78
Exploring Operation: 7+85=92, Resulting Numbers: [2, 92]
Generated Node #0,1,2: 94:[2, 92] Operation: 7+85=92
Exploring Operation: 7-2=5, Resulting Numbers: [85, 5]
Generated Node #0,1,3: 94:[85, 5] Operation: 7-2=5
Moving to Node #0,1,2
Current State: 94:[2, 92], Operations: ['76-74=2', '7+85=92']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,94 unequal: No Solution
Exploring Operation: 2+92=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[7, 76, 85, 74], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [7, 85, 2]
Generated Node #0,1: 94:[7, 85, 2] Operation: 76-74=2
Moving to Node #0,1
Current State: 94:[7, 85, 2], Operations: ['76-74=2']
Exploring Operation: 7+85=92, Resulting Numbers: [2, 92]
Generated Node #0,1,2: 94:[2, 92] Operation: 7+85=92
Moving to Node #0,1,2
Current State: 94:[2, 92], Operations: ['76-74=2', '7+85=92']
Exploring Operation: 2+92=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
30,
22,
20,
28
] | 75 | [
"22+28=50",
"30*50=1500",
"1500/20=75"
] | Current State: 75:[30, 22, 20, 28], Operations: []
Exploring Operation: 22+28=50, Resulting Numbers: [30, 20, 50]
Generated Node #2: [30, 20, 50] from Operation: 22+28=50
Current State: 75:[30, 20, 50], Operations: ['22+28=50']
Exploring Operation: 30*50=1500, Resulting Numbers: [20, 1500]
Generated Node #3: [20, 1500] from Operation: 30*50=1500
Current State: 75:[20, 1500], Operations: ['22+28=50', '30*50=1500']
Exploring Operation: 1500/20=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[30, 22, 20, 28], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [22, 20, 2]
Generated Node #0,0: 75:[22, 20, 2] Operation: 30-28=2
Exploring Operation: 22-20=2, Resulting Numbers: [30, 28, 2]
Generated Node #0,1: 75:[30, 28, 2] Operation: 22-20=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[22, 20, 2], Operations: ['30-28=2']
Exploring Operation: 22+2=24, Resulting Numbers: [20, 24]
Generated Node #0,0,0: 75:[20, 24] Operation: 22+2=24
Exploring Operation: 22-20=2, Resulting Numbers: [2, 2]
Generated Node #0,0,1: 75:[2, 2] Operation: 22-20=2
Moving to Node #0,0,1
Current State: 75:[2, 2], Operations: ['30-28=2', '22-20=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[20, 24], Operations: ['30-28=2', '22+2=24']
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 20+24=44, Resulting Numbers: [44]
44,75 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:[30, 28, 2], Operations: ['22-20=2']
Exploring Operation: 30/2=15, Resulting Numbers: [28, 15]
Generated Node #0,1,0: 75:[28, 15] Operation: 30/2=15
Exploring Operation: 30-28=2, Resulting Numbers: [2, 2]
Generated Node #0,1,1: 75:[2, 2] Operation: 30-28=2
Moving to Node #0,1,1
Current State: 75:[2, 2], Operations: ['22-20=2', '30-28=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[28, 15], Operations: ['22-20=2', '30/2=15']
Exploring Operation: 28+15=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,75 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 |
[
11,
69,
72,
36
] | 47 | [
"11*72=792",
"792/36=22",
"69-22=47"
] | Current State: 47:[11, 69, 72, 36], Operations: []
Exploring Operation: 11*72=792, Resulting Numbers: [69, 36, 792]
Generated Node #2: [69, 36, 792] from Operation: 11*72=792
Current State: 47:[69, 36, 792], Operations: ['11*72=792']
Exploring Operation: 792/36=22, Resulting Numbers: [69, 22]
Generated Node #3: [69, 22] from Operation: 792/36=22
Current State: 47:[69, 22], Operations: ['11*72=792', '792/36=22']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[11, 69, 72, 36], Operations: []
Exploring Operation: 69-11=58, Resulting Numbers: [72, 36, 58]
Generated Node #0,0: 47:[72, 36, 58] Operation: 69-11=58
Exploring Operation: 72-11=61, Resulting Numbers: [69, 36, 61]
Generated Node #0,1: 47:[69, 36, 61] Operation: 72-11=61
Moving to Node #0,0
Current State: 47:[72, 36, 58], Operations: ['69-11=58']
Exploring Operation: 72-58=14, Resulting Numbers: [36, 14]
Generated Node #0,0,0: 47:[36, 14] Operation: 72-58=14
Exploring Operation: 72-36=36, Resulting Numbers: [58, 36]
Generated Node #0,0,1: 47:[58, 36] Operation: 72-36=36
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[58, 36], Operations: ['69-11=58', '72-36=36']
Exploring Operation: 58+36=94, Resulting Numbers: [94]
94,47 unequal: No Solution
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[36, 14], Operations: ['69-11=58', '72-58=14']
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 36+14=50, Resulting Numbers: [50]
50,47 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: 47:[69, 36, 61], Operations: ['72-11=61']
Exploring Operation: 61-36=25, Resulting Numbers: [69, 25]
Generated Node #0,1,0: 47:[69, 25] Operation: 61-36=25
Exploring Operation: 69-36=33, Resulting Numbers: [61, 33]
Generated Node #0,1,1: 47:[61, 33] Operation: 69-36=33
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[61, 33], Operations: ['72-11=61', '69-36=33']
Exploring Operation: 61+33=94, Resulting Numbers: [94]
94,47 unequal: No Solution
Exploring Operation: 61-33=28, Resulting Numbers: [28]
28,47 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:[69, 25], Operations: ['72-11=61', '61-36=25']
Exploring Operation: 69+25=94, Resulting Numbers: [94]
94,47 unequal: No Solution
Exploring Operation: 69-25=44, Resulting Numbers: [44]
44,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
44,
26,
49,
69
] | 50 | [
"44+26=70",
"69-49=20",
"70-20=50"
] | Current State: 50:[44, 26, 49, 69], Operations: []
Exploring Operation: 44+26=70, Resulting Numbers: [49, 69, 70]
Generated Node #2: [49, 69, 70] from Operation: 44+26=70
Current State: 50:[49, 69, 70], Operations: ['44+26=70']
Exploring Operation: 69-49=20, Resulting Numbers: [70, 20]
Generated Node #3: [70, 20] from Operation: 69-49=20
Current State: 50:[70, 20], Operations: ['44+26=70', '69-49=20']
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[44, 26, 49, 69], Operations: []
Exploring Operation: 49-44=5, Resulting Numbers: [26, 69, 5]
Generated Node #0,0: 50:[26, 69, 5] Operation: 49-44=5
Exploring Operation: 69-44=25, Resulting Numbers: [26, 49, 25]
Generated Node #0,1: 50:[26, 49, 25] Operation: 69-44=25
Exploring Operation: 69-49=20, Resulting Numbers: [44, 26, 20]
Generated Node #0,2: 50:[44, 26, 20] Operation: 69-49=20
Exploring Operation: 69-26=43, Resulting Numbers: [44, 49, 43]
Generated Node #0,3: 50:[44, 49, 43] Operation: 69-26=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[26, 49, 25], Operations: ['69-44=25']
Exploring Operation: 26+25=51, Resulting Numbers: [49, 51]
Generated Node #0,1,0: 50:[49, 51] Operation: 26+25=51
Exploring Operation: 26-25=1, Resulting Numbers: [49, 1]
Generated Node #0,1,1: 50:[49, 1] Operation: 26-25=1
Exploring Operation: 49-26=23, Resulting Numbers: [25, 23]
Generated Node #0,1,2: 50:[25, 23] Operation: 49-26=23
Exploring Operation: 49-25=24, Resulting Numbers: [26, 24]
Generated Node #0,1,3: 50:[26, 24] Operation: 49-25=24
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[49, 51], Operations: ['69-44=25', '26+25=51']
Exploring Operation: 49*51=2499, Resulting Numbers: [2499]
2499,50 unequal: No Solution
Exploring Operation: 49+51=100, Resulting Numbers: [100]
100,50 unequal: No Solution
Exploring Operation: 51-49=2, Resulting Numbers: [2]
2,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 50:[49, 1], Operations: ['69-44=25', '26-25=1']
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[44, 26, 49, 69], Operations: []
Exploring Operation: 69-44=25, Resulting Numbers: [26, 49, 25]
Generated Node #0,1: 50:[26, 49, 25] Operation: 69-44=25
Moving to Node #0,1
Current State: 50:[26, 49, 25], Operations: ['69-44=25']
Exploring Operation: 26-25=1, Resulting Numbers: [49, 1]
Generated Node #0,1,1: 50:[49, 1] Operation: 26-25=1
Moving to Node #0,1,1
Current State: 50:[49, 1], Operations: ['69-44=25', '26-25=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
69,
54,
11,
53
] | 80 | [
"69+11=80",
"54-53=1",
"80*1=80"
] | Current State: 80:[69, 54, 11, 53], Operations: []
Exploring Operation: 69+11=80, Resulting Numbers: [54, 53, 80]
Generated Node #2: [54, 53, 80] from Operation: 69+11=80
Current State: 80:[54, 53, 80], Operations: ['69+11=80']
Exploring Operation: 54-53=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 54-53=1
Current State: 80:[80, 1], Operations: ['69+11=80', '54-53=1']
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[69, 54, 11, 53], Operations: []
Exploring Operation: 69-54=15, Resulting Numbers: [11, 53, 15]
Generated Node #0,0: 80:[11, 53, 15] Operation: 69-54=15
Exploring Operation: 54-53=1, Resulting Numbers: [69, 11, 1]
Generated Node #0,1: 80:[69, 11, 1] Operation: 54-53=1
Exploring Operation: 69-53=16, Resulting Numbers: [54, 11, 16]
Generated Node #0,2: 80:[54, 11, 16] Operation: 69-53=16
Moving to Node #0,1
Current State: 80:[69, 11, 1], Operations: ['54-53=1']
Exploring Operation: 69+11=80, Resulting Numbers: [1, 80]
Generated Node #0,1,0: 80:[1, 80] Operation: 69+11=80
Exploring Operation: 11-1=10, Resulting Numbers: [69, 10]
Generated Node #0,1,1: 80:[69, 10] Operation: 11-1=10
Exploring Operation: 69+1=70, Resulting Numbers: [11, 70]
Generated Node #0,1,2: 80:[11, 70] Operation: 69+1=70
Moving to Node #0,0
Current State: 80:[11, 53, 15], Operations: ['69-54=15']
Exploring Operation: 53-11=42, Resulting Numbers: [15, 42]
Generated Node #0,0,0: 80:[15, 42] Operation: 53-11=42
Exploring Operation: 53-15=38, Resulting Numbers: [11, 38]
Generated Node #0,0,1: 80:[11, 38] Operation: 53-15=38
Exploring Operation: 15-11=4, Resulting Numbers: [53, 4]
Generated Node #0,0,2: 80:[53, 4] Operation: 15-11=4
Moving to Node #0,2
Current State: 80:[54, 11, 16], Operations: ['69-53=16']
Exploring Operation: 54-11=43, Resulting Numbers: [16, 43]
Generated Node #0,2,0: 80:[16, 43] Operation: 54-11=43
Exploring Operation: 54+16=70, Resulting Numbers: [11, 70]
Generated Node #0,2,1: 80:[11, 70] Operation: 54+16=70
Exploring Operation: 54-16=38, Resulting Numbers: [11, 38]
Generated Node #0,2,2: 80:[11, 38] Operation: 54-16=38
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 80:[16, 43], Operations: ['69-53=16', '54-11=43']
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,80 unequal: No Solution
Exploring Operation: 16*43=688, Resulting Numbers: [688]
688,80 unequal: No Solution
Exploring Operation: 16+43=59, Resulting Numbers: [59]
59,80 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 #0,2,2
Current State: 80:[11, 38], Operations: ['69-53=16', '54-16=38']
Exploring Operation: 11*38=418, Resulting Numbers: [418]
418,80 unequal: No Solution
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,80 unequal: No Solution
Exploring Operation: 11+38=49, Resulting Numbers: [49]
49,80 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 #0,2,1
Current State: 80:[11, 70], Operations: ['69-53=16', '54+16=70']
Exploring Operation: 11+70=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 11*70=770, Resulting Numbers: [770]
770,80 unequal: No Solution
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 80:[1, 80], Operations: ['54-53=1', '69+11=80']
Exploring Operation: 1+80=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 80/1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[69, 54, 11, 53], Operations: []
Exploring Operation: 54-53=1, Resulting Numbers: [69, 11, 1]
Generated Node #0,1: 80:[69, 11, 1] Operation: 54-53=1
Moving to Node #0,1
Current State: 80:[69, 11, 1], Operations: ['54-53=1']
Exploring Operation: 69+11=80, Resulting Numbers: [1, 80]
Generated Node #0,1,0: 80:[1, 80] Operation: 69+11=80
Moving to Node #0,1,0
Current State: 80:[1, 80], Operations: ['54-53=1', '69+11=80']
Exploring Operation: 80/1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
58,
71,
29,
14
] | 61 | [
"71-29=42",
"42/14=3",
"58+3=61"
] | Current State: 61:[58, 71, 29, 14], Operations: []
Exploring Operation: 71-29=42, Resulting Numbers: [58, 14, 42]
Generated Node #2: [58, 14, 42] from Operation: 71-29=42
Current State: 61:[58, 14, 42], Operations: ['71-29=42']
Exploring Operation: 42/14=3, Resulting Numbers: [58, 3]
Generated Node #3: [58, 3] from Operation: 42/14=3
Current State: 61:[58, 3], Operations: ['71-29=42', '42/14=3']
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[58, 71, 29, 14], Operations: []
Exploring Operation: 29+14=43, Resulting Numbers: [58, 71, 43]
Generated Node #0,0: 61:[58, 71, 43] Operation: 29+14=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[58, 71, 43], Operations: ['29+14=43']
Exploring Operation: 71-43=28, Resulting Numbers: [58, 28]
Generated Node #0,0,0: 61:[58, 28] Operation: 71-43=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[58, 28], Operations: ['29+14=43', '71-43=28']
Exploring Operation: 58+28=86, Resulting Numbers: [86]
86,61 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_1 | mult_heuristic |
[
85,
22,
91,
49
] | 77 | [
"85-22=63",
"91+49=140",
"140-63=77"
] | Current State: 77:[85, 22, 91, 49], Operations: []
Exploring Operation: 85-22=63, Resulting Numbers: [91, 49, 63]
Generated Node #2: [91, 49, 63] from Operation: 85-22=63
Current State: 77:[91, 49, 63], Operations: ['85-22=63']
Exploring Operation: 91+49=140, Resulting Numbers: [63, 140]
Generated Node #3: [63, 140] from Operation: 91+49=140
Current State: 77:[63, 140], Operations: ['85-22=63', '91+49=140']
Exploring Operation: 140-63=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[85, 22, 91, 49], Operations: []
Exploring Operation: 49-22=27, Resulting Numbers: [85, 91, 27]
Generated Node #0,0: 77:[85, 91, 27] Operation: 49-22=27
Exploring Operation: 22+49=71, Resulting Numbers: [85, 91, 71]
Generated Node #0,1: 77:[85, 91, 71] Operation: 22+49=71
Moving to Node #0,1
Current State: 77:[85, 91, 71], Operations: ['22+49=71']
Exploring Operation: 91-85=6, Resulting Numbers: [71, 6]
Generated Node #0,1,0: 77:[71, 6] Operation: 91-85=6
Exploring Operation: 85-71=14, Resulting Numbers: [91, 14]
Generated Node #0,1,1: 77:[91, 14] Operation: 85-71=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[71, 6], Operations: ['22+49=71', '91-85=6']
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[85, 22, 91, 49], Operations: []
Exploring Operation: 22+49=71, Resulting Numbers: [85, 91, 71]
Generated Node #0,1: 77:[85, 91, 71] Operation: 22+49=71
Moving to Node #0,1
Current State: 77:[85, 91, 71], Operations: ['22+49=71']
Exploring Operation: 91-85=6, Resulting Numbers: [71, 6]
Generated Node #0,1,0: 77:[71, 6] Operation: 91-85=6
Moving to Node #0,1,0
Current State: 77:[71, 6], Operations: ['22+49=71', '91-85=6']
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
13,
15,
24,
26
] | 38 | [
"15-13=2",
"24/2=12",
"26+12=38"
] | Current State: 38:[13, 15, 24, 26], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [24, 26, 2]
Generated Node #2: [24, 26, 2] from Operation: 15-13=2
Current State: 38:[24, 26, 2], Operations: ['15-13=2']
Exploring Operation: 24/2=12, Resulting Numbers: [26, 12]
Generated Node #3: [26, 12] from Operation: 24/2=12
Current State: 38:[26, 12], Operations: ['15-13=2', '24/2=12']
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[13, 15, 24, 26], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [15, 24, 2]
Generated Node #0,0: 38:[15, 24, 2] Operation: 26/13=2
Exploring Operation: 13+26=39, Resulting Numbers: [15, 24, 39]
Generated Node #0,1: 38:[15, 24, 39] Operation: 13+26=39
Moving to Node #0,0
Current State: 38:[15, 24, 2], Operations: ['26/13=2']
Exploring Operation: 24-15=9, Resulting Numbers: [2, 9]
Generated Node #0,0,0: 38:[2, 9] Operation: 24-15=9
Exploring Operation: 15+24=39, Resulting Numbers: [2, 39]
Generated Node #0,0,1: 38:[2, 39] Operation: 15+24=39
Moving to Node #0,1
Current State: 38:[15, 24, 39], Operations: ['13+26=39']
Exploring Operation: 15+24=39, Resulting Numbers: [39, 39]
Generated Node #0,1,0: 38:[39, 39] Operation: 15+24=39
Exploring Operation: 24-15=9, Resulting Numbers: [39, 9]
Generated Node #0,1,1: 38:[39, 9] Operation: 24-15=9
Moving to Node #0,0,1
Current State: 38:[2, 39], Operations: ['26/13=2', '15+24=39']
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[39, 39], Operations: ['13+26=39', '15+24=39']
Exploring Operation: 39/39=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 39-39=0, Resulting Numbers: [0]
0,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[2, 9], Operations: ['26/13=2', '24-15=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[39, 9], Operations: ['13+26=39', '24-15=9']
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,38 unequal: No Solution
Exploring Operation: 39+9=48, Resulting Numbers: [48]
48,38 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
15,
98,
32,
23
] | 37 | [
"98-23=75",
"75/15=5",
"32+5=37"
] | Current State: 37:[15, 98, 32, 23], Operations: []
Exploring Operation: 98-23=75, Resulting Numbers: [15, 32, 75]
Generated Node #2: [15, 32, 75] from Operation: 98-23=75
Current State: 37:[15, 32, 75], Operations: ['98-23=75']
Exploring Operation: 75/15=5, Resulting Numbers: [32, 5]
Generated Node #3: [32, 5] from Operation: 75/15=5
Current State: 37:[32, 5], Operations: ['98-23=75', '75/15=5']
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[15, 98, 32, 23], Operations: []
Exploring Operation: 98-15=83, Resulting Numbers: [32, 23, 83]
Generated Node #0,0: 37:[32, 23, 83] Operation: 98-15=83
Moving to Node #0,0
Current State: 37:[32, 23, 83], Operations: ['98-15=83']
Exploring Operation: 83-32=51, Resulting Numbers: [23, 51]
Generated Node #0,0,0: 37:[23, 51] Operation: 83-32=51
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[23, 51], Operations: ['98-15=83', '83-32=51']
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,37 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 |
[
86,
74,
78,
76
] | 24 | [
"86-74=12",
"78-76=2",
"12*2=24"
] | Current State: 24:[86, 74, 78, 76], Operations: []
Exploring Operation: 86-74=12, Resulting Numbers: [78, 76, 12]
Generated Node #2: [78, 76, 12] from Operation: 86-74=12
Current State: 24:[78, 76, 12], Operations: ['86-74=12']
Exploring Operation: 78-76=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 78-76=2
Current State: 24:[12, 2], Operations: ['86-74=12', '78-76=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[86, 74, 78, 76], Operations: []
Exploring Operation: 86-76=10, Resulting Numbers: [74, 78, 10]
Generated Node #0,0: 24:[74, 78, 10] Operation: 86-76=10
Exploring Operation: 86-74=12, Resulting Numbers: [78, 76, 12]
Generated Node #0,1: 24:[78, 76, 12] Operation: 86-74=12
Exploring Operation: 86-78=8, Resulting Numbers: [74, 76, 8]
Generated Node #0,2: 24:[74, 76, 8] Operation: 86-78=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[74, 76, 8], Operations: ['86-78=8']
Exploring Operation: 76-8=68, Resulting Numbers: [74, 68]
Generated Node #0,2,0: 24:[74, 68] Operation: 76-8=68
Exploring Operation: 74-8=66, Resulting Numbers: [76, 66]
Generated Node #0,2,1: 24:[76, 66] Operation: 74-8=66
Exploring Operation: 76-74=2, Resulting Numbers: [8, 2]
Generated Node #0,2,2: 24:[8, 2] Operation: 76-74=2
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 24:[8, 2], Operations: ['86-78=8', '76-74=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,24 unequal: No Solution
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
No 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: 24:[74, 68], Operations: ['86-78=8', '76-8=68']
Exploring Operation: 74+68=142, Resulting Numbers: [142]
142,24 unequal: No Solution
Exploring Operation: 74*68=5032, Resulting Numbers: [5032]
5032,24 unequal: No Solution
Exploring Operation: 74-68=6, Resulting Numbers: [6]
6,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 24:[76, 66], Operations: ['86-78=8', '74-8=66']
Exploring Operation: 76-66=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 76*66=5016, Resulting Numbers: [5016]
5016,24 unequal: No Solution
Exploring Operation: 76+66=142, Resulting Numbers: [142]
142,24 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: 24:[74, 78, 10], Operations: ['86-76=10']
Exploring Operation: 78-74=4, Resulting Numbers: [10, 4]
Generated Node #0,0,0: 24:[10, 4] Operation: 78-74=4
Exploring Operation: 74-10=64, Resulting Numbers: [78, 64]
Generated Node #0,0,1: 24:[78, 64] Operation: 74-10=64
Exploring Operation: 78-10=68, Resulting Numbers: [74, 68]
Generated Node #0,0,2: 24:[74, 68] Operation: 78-10=68
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 24:[10, 4], Operations: ['86-76=10', '78-74=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,24 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 24:[78, 64], Operations: ['86-76=10', '74-10=64']
Exploring Operation: 78-64=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 78*64=4992, Resulting Numbers: [4992]
4992,24 unequal: No Solution
Exploring Operation: 78+64=142, Resulting Numbers: [142]
142,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 24:[74, 68], Operations: ['86-76=10', '78-10=68']
Exploring Operation: 74*68=5032, Resulting Numbers: [5032]
5032,24 unequal: No Solution
Exploring Operation: 74-68=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 74+68=142, Resulting Numbers: [142]
142,24 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: 24:[78, 76, 12], Operations: ['86-74=12']
Exploring Operation: 78-76=2, Resulting Numbers: [12, 2]
Generated Node #0,1,0: 24:[12, 2] Operation: 78-76=2
Exploring Operation: 78-12=66, Resulting Numbers: [76, 66]
Generated Node #0,1,1: 24:[76, 66] Operation: 78-12=66
Exploring Operation: 76-12=64, Resulting Numbers: [78, 64]
Generated Node #0,1,2: 24:[78, 64] Operation: 76-12=64
Moving to Node #0,1,0
Current State: 24:[12, 2], Operations: ['86-74=12', '78-76=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[86, 74, 78, 76], Operations: []
Exploring Operation: 86-74=12, Resulting Numbers: [78, 76, 12]
Generated Node #0,1: 24:[78, 76, 12] Operation: 86-74=12
Moving to Node #0,1
Current State: 24:[78, 76, 12], Operations: ['86-74=12']
Exploring Operation: 78-76=2, Resulting Numbers: [12, 2]
Generated Node #0,1,0: 24:[12, 2] Operation: 78-76=2
Moving to Node #0,1,0
Current State: 24:[12, 2], Operations: ['86-74=12', '78-76=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
8,
98,
20,
97
] | 27 | [
"98-8=90",
"20+97=117",
"117-90=27"
] | Current State: 27:[8, 98, 20, 97], Operations: []
Exploring Operation: 98-8=90, Resulting Numbers: [20, 97, 90]
Generated Node #2: [20, 97, 90] from Operation: 98-8=90
Current State: 27:[20, 97, 90], Operations: ['98-8=90']
Exploring Operation: 20+97=117, Resulting Numbers: [90, 117]
Generated Node #3: [90, 117] from Operation: 20+97=117
Current State: 27:[90, 117], Operations: ['98-8=90', '20+97=117']
Exploring Operation: 117-90=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[8, 98, 20, 97], Operations: []
Exploring Operation: 98-20=78, Resulting Numbers: [8, 97, 78]
Generated Node #0,0: 27:[8, 97, 78] Operation: 98-20=78
Exploring Operation: 98-97=1, Resulting Numbers: [8, 20, 1]
Generated Node #0,1: 27:[8, 20, 1] Operation: 98-97=1
Exploring Operation: 97-8=89, Resulting Numbers: [98, 20, 89]
Generated Node #0,2: 27:[98, 20, 89] Operation: 97-8=89
Exploring Operation: 97-20=77, Resulting Numbers: [8, 98, 77]
Generated Node #0,3: 27:[8, 98, 77] Operation: 97-20=77
Exploring Operation: 98-8=90, Resulting Numbers: [20, 97, 90]
Generated Node #0,4: 27:[20, 97, 90] Operation: 98-8=90
Moving to Node #0,1
Current State: 27:[8, 20, 1], Operations: ['98-97=1']
Exploring Operation: 8*1=8, Resulting Numbers: [20, 8]
Generated Node #0,1,0: 27:[20, 8] Operation: 8*1=8
Exploring Operation: 8+20=28, Resulting Numbers: [1, 28]
Generated Node #0,1,1: 27:[1, 28] Operation: 8+20=28
Exploring Operation: 20-8=12, Resulting Numbers: [1, 12]
Generated Node #0,1,2: 27:[1, 12] Operation: 20-8=12
Exploring Operation: 8+1=9, Resulting Numbers: [20, 9]
Generated Node #0,1,3: 27:[20, 9] Operation: 8+1=9
Exploring Operation: 20+1=21, Resulting Numbers: [8, 21]
Generated Node #0,1,4: 27:[8, 21] Operation: 20+1=21
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 27:[1, 28], Operations: ['98-97=1', '8+20=28']
Exploring Operation: 1*28=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[8, 98, 20, 97], Operations: []
Exploring Operation: 98-97=1, Resulting Numbers: [8, 20, 1]
Generated Node #0,1: 27:[8, 20, 1] Operation: 98-97=1
Moving to Node #0,1
Current State: 27:[8, 20, 1], Operations: ['98-97=1']
Exploring Operation: 8+20=28, Resulting Numbers: [1, 28]
Generated Node #0,1,1: 27:[1, 28] Operation: 8+20=28
Moving to Node #0,1,1
Current State: 27:[1, 28], Operations: ['98-97=1', '8+20=28']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
6,
70,
63,
46
] | 96 | [
"70*63=4410",
"6+4410=4416",
"4416/46=96"
] | Current State: 96:[6, 70, 63, 46], Operations: []
Exploring Operation: 70*63=4410, Resulting Numbers: [6, 46, 4410]
Generated Node #2: [6, 46, 4410] from Operation: 70*63=4410
Current State: 96:[6, 46, 4410], Operations: ['70*63=4410']
Exploring Operation: 6+4410=4416, Resulting Numbers: [46, 4416]
Generated Node #3: [46, 4416] from Operation: 6+4410=4416
Current State: 96:[46, 4416], Operations: ['70*63=4410', '6+4410=4416']
Exploring Operation: 4416/46=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[6, 70, 63, 46], Operations: []
Exploring Operation: 63-6=57, Resulting Numbers: [70, 46, 57]
Generated Node #0,0: 96:[70, 46, 57] Operation: 63-6=57
Exploring Operation: 70-46=24, Resulting Numbers: [6, 63, 24]
Generated Node #0,1: 96:[6, 63, 24] Operation: 70-46=24
Exploring Operation: 70-63=7, Resulting Numbers: [6, 46, 7]
Generated Node #0,2: 96:[6, 46, 7] Operation: 70-63=7
Exploring Operation: 70-6=64, Resulting Numbers: [63, 46, 64]
Generated Node #0,3: 96:[63, 46, 64] Operation: 70-6=64
Exploring Operation: 63-46=17, Resulting Numbers: [6, 70, 17]
Generated Node #0,4: 96:[6, 70, 17] Operation: 63-46=17
Moving to Node #0,2
Current State: 96:[6, 46, 7], Operations: ['70-63=7']
Exploring Operation: 6+7=13, Resulting Numbers: [46, 13]
Generated Node #0,2,0: 96:[46, 13] Operation: 6+7=13
Exploring Operation: 6+46=52, Resulting Numbers: [7, 52]
Generated Node #0,2,1: 96:[7, 52] Operation: 6+46=52
Exploring Operation: 7-6=1, Resulting Numbers: [46, 1]
Generated Node #0,2,2: 96:[46, 1] Operation: 7-6=1
Exploring Operation: 46+7=53, Resulting Numbers: [6, 53]
Generated Node #0,2,3: 96:[6, 53] Operation: 46+7=53
Exploring Operation: 46-7=39, Resulting Numbers: [6, 39]
Generated Node #0,2,4: 96:[6, 39] Operation: 46-7=39
Moving to Node #0,1
Current State: 96:[6, 63, 24], Operations: ['70-46=24']
Exploring Operation: 63+24=87, Resulting Numbers: [6, 87]
Generated Node #0,1,0: 96:[6, 87] Operation: 63+24=87
Exploring Operation: 63-6=57, Resulting Numbers: [24, 57]
Generated Node #0,1,1: 96:[24, 57] Operation: 63-6=57
Exploring Operation: 63-24=39, Resulting Numbers: [6, 39]
Generated Node #0,1,2: 96:[6, 39] Operation: 63-24=39
Exploring Operation: 6+24=30, Resulting Numbers: [63, 30]
Generated Node #0,1,3: 96:[63, 30] Operation: 6+24=30
Exploring Operation: 24/6=4, Resulting Numbers: [63, 4]
Generated Node #0,1,4: 96:[63, 4] Operation: 24/6=4
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 96:[6, 39], Operations: ['70-46=24', '63-24=39']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,96 unequal: No Solution
Exploring Operation: 6*39=234, Resulting Numbers: [234]
234,96 unequal: No Solution
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[6, 87], Operations: ['70-46=24', '63+24=87']
Exploring Operation: 6*87=522, Resulting Numbers: [522]
522,96 unequal: No Solution
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,96 unequal: No Solution
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[24, 57], Operations: ['70-46=24', '63-6=57']
Exploring Operation: 24+57=81, Resulting Numbers: [81]
81,96 unequal: No Solution
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,96 unequal: No Solution
Exploring Operation: 24*57=1368, Resulting Numbers: [1368]
1368,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 96:[63, 4], Operations: ['70-46=24', '24/6=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,96 unequal: No Solution
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,96 unequal: No Solution
Exploring Operation: 63*4=252, Resulting Numbers: [252]
252,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 96:[63, 30], Operations: ['70-46=24', '6+24=30']
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,96 unequal: No Solution
Exploring Operation: 63+30=93, Resulting Numbers: [93]
93,96 unequal: No Solution
Exploring Operation: 63*30=1890, Resulting Numbers: [1890]
1890,96 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: 96:[6, 70, 17], Operations: ['63-46=17']
Exploring Operation: 70-17=53, Resulting Numbers: [6, 53]
Generated Node #0,4,0: 96:[6, 53] Operation: 70-17=53
Exploring Operation: 70-6=64, Resulting Numbers: [17, 64]
Generated Node #0,4,1: 96:[17, 64] Operation: 70-6=64
Exploring Operation: 6+17=23, Resulting Numbers: [70, 23]
Generated Node #0,4,2: 96:[70, 23] Operation: 6+17=23
Exploring Operation: 6+70=76, Resulting Numbers: [17, 76]
Generated Node #0,4,3: 96:[17, 76] Operation: 6+70=76
Exploring Operation: 70+17=87, Resulting Numbers: [6, 87]
Generated Node #0,4,4: 96:[6, 87] Operation: 70+17=87
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 96:[6, 53], Operations: ['63-46=17', '70-17=53']
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,96 unequal: No Solution
Exploring Operation: 6*53=318, Resulting Numbers: [318]
318,96 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 96:[6, 87], Operations: ['63-46=17', '70+17=87']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,96 unequal: No Solution
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,96 unequal: No Solution
Exploring Operation: 6*87=522, Resulting Numbers: [522]
522,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 96:[17, 64], Operations: ['63-46=17', '70-6=64']
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 17+64=81, Resulting Numbers: [81]
81,96 unequal: No Solution
Exploring Operation: 17*64=1088, Resulting Numbers: [1088]
1088,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 96:[17, 76], Operations: ['63-46=17', '6+70=76']
Exploring Operation: 17*76=1292, Resulting Numbers: [1292]
1292,96 unequal: No Solution
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,96 unequal: No Solution
Exploring Operation: 17+76=93, Resulting Numbers: [93]
93,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 96:[70, 23], Operations: ['63-46=17', '6+17=23']
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,96 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,96 unequal: No Solution
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,96 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: 96:[70, 46, 57], Operations: ['63-6=57']
Exploring Operation: 46+57=103, Resulting Numbers: [70, 103]
Generated Node #0,0,0: 96:[70, 103] Operation: 46+57=103
Exploring Operation: 70-57=13, Resulting Numbers: [46, 13]
Generated Node #0,0,1: 96:[46, 13] Operation: 70-57=13
Exploring Operation: 70-46=24, Resulting Numbers: [57, 24]
Generated Node #0,0,2: 96:[57, 24] Operation: 70-46=24
Exploring Operation: 70+46=116, Resulting Numbers: [57, 116]
Generated Node #0,0,3: 96:[57, 116] Operation: 70+46=116
Exploring Operation: 57-46=11, Resulting Numbers: [70, 11]
Generated Node #0,0,4: 96:[70, 11] Operation: 57-46=11
Moving to Node #0,3
Current State: 96:[63, 46, 64], Operations: ['70-6=64']
Exploring Operation: 64-46=18, Resulting Numbers: [63, 18]
Generated Node #0,3,0: 96:[63, 18] Operation: 64-46=18
Exploring Operation: 46+64=110, Resulting Numbers: [63, 110]
Generated Node #0,3,1: 96:[63, 110] Operation: 46+64=110
Exploring Operation: 63+46=109, Resulting Numbers: [64, 109]
Generated Node #0,3,2: 96:[64, 109] Operation: 63+46=109
Exploring Operation: 63-46=17, Resulting Numbers: [64, 17]
Generated Node #0,3,3: 96:[64, 17] Operation: 63-46=17
Exploring Operation: 64-63=1, Resulting Numbers: [46, 1]
Generated Node #0,3,4: 96:[46, 1] Operation: 64-63=1
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 96:[46, 1], Operations: ['70-6=64', '64-63=1']
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,96 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 96:[63, 18], Operations: ['70-6=64', '64-46=18']
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,96 unequal: No Solution
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,96 unequal: No Solution
Exploring Operation: 63*18=1134, Resulting Numbers: [1134]
1134,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 96:[64, 17], Operations: ['70-6=64', '63-46=17']
Exploring Operation: 64*17=1088, Resulting Numbers: [1088]
1088,96 unequal: No Solution
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,96 unequal: No Solution
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 96:[63, 110], Operations: ['70-6=64', '46+64=110']
Exploring Operation: 110-63=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 63+110=173, Resulting Numbers: [173]
173,96 unequal: No Solution
Exploring Operation: 63*110=6930, Resulting Numbers: [6930]
6930,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 96:[64, 109], Operations: ['70-6=64', '63+46=109']
Exploring Operation: 64*109=6976, Resulting Numbers: [6976]
6976,96 unequal: No Solution
Exploring Operation: 109-64=45, Resulting Numbers: [45]
45,96 unequal: No Solution
Exploring Operation: 64+109=173, Resulting Numbers: [173]
173,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 96:[46, 13], Operations: ['70-63=7', '6+7=13']
Exploring Operation: 46+13=59, Resulting Numbers: [59]
59,96 unequal: No Solution
Exploring Operation: 46*13=598, Resulting Numbers: [598]
598,96 unequal: No Solution
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[46, 13], Operations: ['63-6=57', '70-57=13']
Exploring Operation: 46*13=598, Resulting Numbers: [598]
598,96 unequal: No Solution
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,96 unequal: No Solution
Exploring Operation: 46+13=59, Resulting Numbers: [59]
59,96 unequal: No Solution
Moving to Node #0,2,2
Current State: 96:[46, 1], Operations: ['70-63=7', '7-6=1']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,96 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Moving to Node #0,2,1
Current State: 96:[7, 52], Operations: ['70-63=7', '6+46=52']
Exploring Operation: 7*52=364, Resulting Numbers: [364]
364,96 unequal: No Solution
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,96 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,96 unequal: No Solution
Moving to Node #0,2,3
Current State: 96:[6, 53], Operations: ['70-63=7', '46+7=53']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,96 unequal: No Solution
Exploring Operation: 6*53=318, Resulting Numbers: [318]
318,96 unequal: No Solution
Moving to Node #0,2,4
Current State: 96:[6, 39], Operations: ['70-63=7', '46-7=39']
Exploring Operation: 6*39=234, Resulting Numbers: [234]
234,96 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,96 unequal: No Solution
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,96 unequal: No Solution
Moving to Node #0,0,2
Current State: 96:[57, 24], Operations: ['63-6=57', '70-46=24']
Exploring Operation: 57+24=81, Resulting Numbers: [81]
81,96 unequal: No Solution
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,96 unequal: No Solution
Exploring Operation: 57*24=1368, Resulting Numbers: [1368]
1368,96 unequal: No Solution
Moving to Node #0,0,4
Current State: 96:[70, 11], Operations: ['63-6=57', '57-46=11']
Exploring Operation: 70*11=770, Resulting Numbers: [770]
770,96 unequal: No Solution
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,96 unequal: No Solution
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,96 unequal: No Solution
Moving to Node #0,0,3
Current State: 96:[57, 116], Operations: ['63-6=57', '70+46=116']
Exploring Operation: 57+116=173, Resulting Numbers: [173]
173,96 unequal: No Solution
Exploring Operation: 116-57=59, Resulting Numbers: [59]
59,96 unequal: No Solution
Exploring Operation: 57*116=6612, Resulting Numbers: [6612]
6612,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[70, 103], Operations: ['63-6=57', '46+57=103']
Exploring Operation: 70+103=173, Resulting Numbers: [173]
173,96 unequal: No Solution
Exploring Operation: 103-70=33, Resulting Numbers: [33]
33,96 unequal: No Solution
Exploring Operation: 70*103=7210, Resulting Numbers: [7210]
7210,96 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
24,
15,
60,
28
] | 17 | [
"60/15=4",
"28/4=7",
"24-7=17"
] | Current State: 17:[24, 15, 60, 28], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [24, 28, 4]
Generated Node #2: [24, 28, 4] from Operation: 60/15=4
Current State: 17:[24, 28, 4], Operations: ['60/15=4']
Exploring Operation: 28/4=7, Resulting Numbers: [24, 7]
Generated Node #3: [24, 7] from Operation: 28/4=7
Current State: 17:[24, 7], Operations: ['60/15=4', '28/4=7']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[24, 15, 60, 28], Operations: []
Exploring Operation: 60-28=32, Resulting Numbers: [24, 15, 32]
Generated Node #0,0: 17:[24, 15, 32] Operation: 60-28=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[24, 15, 32], Operations: ['60-28=32']
Exploring Operation: 32-15=17, Resulting Numbers: [24, 17]
Generated Node #0,0,0: 17:[24, 17] Operation: 32-15=17
Moving to Node #0,0,0
Current State: 17:[24, 17], Operations: ['60-28=32', '32-15=17']
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,17 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 |
[
72,
71,
2,
72
] | 24 | [
"72-71=1",
"2+1=3",
"72/3=24"
] | Current State: 24:[72, 71, 2, 72], Operations: []
Exploring Operation: 72-71=1, Resulting Numbers: [2, 1]
Generated Node #2: [2, 1] from Operation: 72-71=1
Current State: 24:[2, 1], Operations: ['72-71=1']
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,24 equal: Goal Reached
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[72, 71, 2, 72], Operations: []
Exploring Operation: 72-72=0, Resulting Numbers: [71, 2, 0]
Generated Node #0,0: 24:[71, 2, 0] Operation: 72-72=0
Exploring Operation: 72/72=1, Resulting Numbers: [71, 2, 1]
Generated Node #0,1: 24:[71, 2, 1] Operation: 72/72=1
Exploring Operation: 72-71=1, Resulting Numbers: [72, 2, 1]
Generated Node #0,2: 24:[72, 2, 1] Operation: 72-71=1
Exploring Operation: 72-71=1, Resulting Numbers: [2, 72, 1]
Generated Node #0,3: 24:[2, 72, 1] Operation: 72-71=1
Moving to Node #0,1
Current State: 24:[71, 2, 1], Operations: ['72/72=1']
Exploring Operation: 71-2=69, Resulting Numbers: [1, 69]
Generated Node #0,1,0: 24:[1, 69] Operation: 71-2=69
Exploring Operation: 71/1=71, Resulting Numbers: [2, 71]
Generated Node #0,1,1: 24:[2, 71] Operation: 71/1=71
Exploring Operation: 71*1=71, Resulting Numbers: [2, 71]
Generated Node #0,1,2: 24:[2, 71] Operation: 71*1=71
Exploring Operation: 71-1=70, Resulting Numbers: [2, 70]
Generated Node #0,1,3: 24:[2, 70] Operation: 71-1=70
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[1, 69], Operations: ['72/72=1', '71-2=69']
Exploring Operation: 1*69=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,24 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 1+69=70, Resulting Numbers: [70]
70,24 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 #0,1,3
Current State: 24:[2, 70], Operations: ['72/72=1', '71-1=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,24 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,24 unequal: No Solution
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,24 unequal: No Solution
Exploring Operation: 2*70=140, Resulting Numbers: [140]
140,24 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:[2, 71], Operations: ['72/72=1', '71/1=71']
Exploring Operation: 2*71=142, Resulting Numbers: [142]
142,24 unequal: No Solution
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,24 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 #0,1,2
Current State: 24:[2, 71], Operations: ['72/72=1', '71*1=71']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 2*71=142, Resulting Numbers: [142]
142,24 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: 24:[72, 2, 1], Operations: ['72-71=1']
Exploring Operation: 72-2=70, Resulting Numbers: [1, 70]
Generated Node #0,2,0: 24:[1, 70] Operation: 72-2=70
Exploring Operation: 72/2=36, Resulting Numbers: [1, 36]
Generated Node #0,2,1: 24:[1, 36] Operation: 72/2=36
Exploring Operation: 72-1=71, Resulting Numbers: [2, 71]
Generated Node #0,2,2: 24:[2, 71] Operation: 72-1=71
Exploring Operation: 72*1=72, Resulting Numbers: [2, 72]
Generated Node #0,2,3: 24:[2, 72] Operation: 72*1=72
Moving to Node #0,0
Current State: 24:[71, 2, 0], Operations: ['72-72=0']
Exploring Operation: 71*0=0, Resulting Numbers: [2, 0]
Generated Node #0,0,0: 24:[2, 0] Operation: 71*0=0
Exploring Operation: 71-0=71, Resulting Numbers: [2, 71]
Generated Node #0,0,1: 24:[2, 71] Operation: 71-0=71
Exploring Operation: 71-2=69, Resulting Numbers: [0, 69]
Generated Node #0,0,2: 24:[0, 69] Operation: 71-2=69
Exploring Operation: 71+0=71, Resulting Numbers: [2, 71]
Generated Node #0,0,3: 24:[2, 71] Operation: 71+0=71
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[2, 0], Operations: ['72-72=0', '71*0=0']
Exploring Operation: 2*0=0, Resulting Numbers: [0]
0,24 unequal: No Solution
Exploring Operation: 2-0=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 2+0=2, Resulting Numbers: [2]
2,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 24:[2, 71], Operations: ['72-72=0', '71-0=71']
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 2*71=142, Resulting Numbers: [142]
142,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 24:[0, 69], Operations: ['72-72=0', '71-2=69']
Exploring Operation: 69-0=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 0+69=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 0*69=0, Resulting Numbers: [0]
0,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 24:[2, 71], Operations: ['72-72=0', '71+0=71']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 2*71=142, Resulting Numbers: [142]
142,24 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: 24:[2, 72, 1], Operations: ['72-71=1']
Exploring Operation: 72-2=70, Resulting Numbers: [1, 70]
Generated Node #0,3,0: 24:[1, 70] Operation: 72-2=70
Exploring Operation: 72/2=36, Resulting Numbers: [1, 36]
Generated Node #0,3,1: 24:[1, 36] Operation: 72/2=36
Exploring Operation: 72-1=71, Resulting Numbers: [2, 71]
Generated Node #0,3,2: 24:[2, 71] Operation: 72-1=71
Exploring Operation: 2+1=3, Resulting Numbers: [72, 3]
Generated Node #0,3,3: 24:[72, 3] Operation: 2+1=3
Moving to Node #0,2,1
Current State: 24:[1, 36], Operations: ['72-71=1', '72/2=36']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,24 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 1+36=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[1, 36], Operations: ['72-71=1', '72/2=36']
Exploring Operation: 1+36=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,24 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[2, 71], Operations: ['72-71=1', '72-1=71']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 2*71=142, Resulting Numbers: [142]
142,24 unequal: No Solution
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[1, 70], Operations: ['72-71=1', '72-2=70']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 70/1=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 1+70=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Moving to Node #0,3,2
Current State: 24:[2, 71], Operations: ['72-71=1', '72-1=71']
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 2*71=142, Resulting Numbers: [142]
142,24 unequal: No Solution
Moving to Node #0,2,0
Current State: 24:[1, 70], Operations: ['72-71=1', '72-2=70']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 70/1=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 1+70=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Moving to Node #0,2,3
Current State: 24:[2, 72], Operations: ['72-71=1', '72*1=72']
Exploring Operation: 2*72=144, Resulting Numbers: [144]
144,24 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,24 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Moving to Node #0,3,3
Current State: 24:[72, 3], Operations: ['72-71=1', '2+1=3']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[72, 71, 2, 72], Operations: []
Exploring Operation: 72-71=1, Resulting Numbers: [2, 72, 1]
Generated Node #0,3: 24:[2, 72, 1] Operation: 72-71=1
Moving to Node #0,3
Current State: 24:[2, 72, 1], Operations: ['72-71=1']
Exploring Operation: 2+1=3, Resulting Numbers: [72, 3]
Generated Node #0,3,3: 24:[72, 3] Operation: 2+1=3
Moving to Node #0,3,3
Current State: 24:[72, 3], Operations: ['72-71=1', '2+1=3']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 0.93316 | hs_4 | mult_heuristic |
[
56,
32,
44,
63
] | 83 | [
"56-32=24",
"44+63=107",
"107-24=83"
] | Current State: 83:[56, 32, 44, 63], Operations: []
Exploring Operation: 56-32=24, Resulting Numbers: [44, 63, 24]
Generated Node #2: [44, 63, 24] from Operation: 56-32=24
Current State: 83:[44, 63, 24], Operations: ['56-32=24']
Exploring Operation: 44+63=107, Resulting Numbers: [24, 107]
Generated Node #3: [24, 107] from Operation: 44+63=107
Current State: 83:[24, 107], Operations: ['56-32=24', '44+63=107']
Exploring Operation: 107-24=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[56, 32, 44, 63], Operations: []
Exploring Operation: 32+44=76, Resulting Numbers: [56, 63, 76]
Generated Node #0,0: 83:[56, 63, 76] Operation: 32+44=76
Exploring Operation: 56+32=88, Resulting Numbers: [44, 63, 88]
Generated Node #0,1: 83:[44, 63, 88] Operation: 56+32=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[56, 63, 76], Operations: ['32+44=76']
Exploring Operation: 56+63=119, Resulting Numbers: [76, 119]
Generated Node #0,0,0: 83:[76, 119] Operation: 56+63=119
Exploring Operation: 56+76=132, Resulting Numbers: [63, 132]
Generated Node #0,0,1: 83:[63, 132] Operation: 56+76=132
Moving to Node #0,0,0
Current State: 83:[76, 119], Operations: ['32+44=76', '56+63=119']
Exploring Operation: 119-76=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 76+119=195, Resulting Numbers: [195]
195,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[63, 132], Operations: ['32+44=76', '56+76=132']
Exploring Operation: 132-63=69, Resulting Numbers: [69]
69,83 unequal: No Solution
Exploring Operation: 63+132=195, Resulting Numbers: [195]
195,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[44, 63, 88], Operations: ['56+32=88']
Exploring Operation: 44+63=107, Resulting Numbers: [88, 107]
Generated Node #0,1,0: 83:[88, 107] Operation: 44+63=107
Exploring Operation: 88-44=44, Resulting Numbers: [63, 44]
Generated Node #0,1,1: 83:[63, 44] Operation: 88-44=44
Moving to Node #0,1,0
Current State: 83:[88, 107], Operations: ['56+32=88', '44+63=107']
Exploring Operation: 107-88=19, Resulting Numbers: [19]
19,83 unequal: No Solution
Exploring Operation: 88+107=195, Resulting Numbers: [195]
195,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[63, 44], Operations: ['56+32=88', '88-44=44']
Exploring Operation: 63+44=107, Resulting Numbers: [107]
107,83 unequal: No Solution
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
9,
7,
40,
5
] | 16 | [
"9-7=2",
"40/5=8",
"2*8=16"
] | Current State: 16:[9, 7, 40, 5], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [40, 5, 2]
Generated Node #2: [40, 5, 2] from Operation: 9-7=2
Current State: 16:[40, 5, 2], Operations: ['9-7=2']
Exploring Operation: 40/5=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 40/5=8
Current State: 16:[2, 8], Operations: ['9-7=2', '40/5=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[9, 7, 40, 5], Operations: []
Exploring Operation: 40-7=33, Resulting Numbers: [9, 5, 33]
Generated Node #0,0: 16:[9, 5, 33] Operation: 40-7=33
Exploring Operation: 40-5=35, Resulting Numbers: [9, 7, 35]
Generated Node #0,1: 16:[9, 7, 35] Operation: 40-5=35
Exploring Operation: 40/5=8, Resulting Numbers: [9, 7, 8]
Generated Node #0,2: 16:[9, 7, 8] Operation: 40/5=8
Exploring Operation: 40-9=31, Resulting Numbers: [7, 5, 31]
Generated Node #0,3: 16:[7, 5, 31] Operation: 40-9=31
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[9, 7, 8], Operations: ['40/5=8']
Exploring Operation: 9-7=2, Resulting Numbers: [8, 2]
Generated Node #0,2,0: 16:[8, 2] Operation: 9-7=2
Exploring Operation: 9+8=17, Resulting Numbers: [7, 17]
Generated Node #0,2,1: 16:[7, 17] Operation: 9+8=17
Exploring Operation: 9+7=16, Resulting Numbers: [8, 16]
Generated Node #0,2,2: 16:[8, 16] Operation: 9+7=16
Exploring Operation: 9-8=1, Resulting Numbers: [7, 1]
Generated Node #0,2,3: 16:[7, 1] Operation: 9-8=1
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 16:[8, 2], Operations: ['40/5=8', '9-7=2']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[9, 7, 40, 5], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [9, 7, 8]
Generated Node #0,2: 16:[9, 7, 8] Operation: 40/5=8
Moving to Node #0,2
Current State: 16:[9, 7, 8], Operations: ['40/5=8']
Exploring Operation: 9-7=2, Resulting Numbers: [8, 2]
Generated Node #0,2,0: 16:[8, 2] Operation: 9-7=2
Moving to Node #0,2,0
Current State: 16:[8, 2], Operations: ['40/5=8', '9-7=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
36,
39,
76,
50
] | 51 | [
"36+39=75",
"76+50=126",
"126-75=51"
] | Current State: 51:[36, 39, 76, 50], Operations: []
Exploring Operation: 36+39=75, Resulting Numbers: [76, 50, 75]
Generated Node #2: [76, 50, 75] from Operation: 36+39=75
Current State: 51:[76, 50, 75], Operations: ['36+39=75']
Exploring Operation: 76+50=126, Resulting Numbers: [75, 126]
Generated Node #3: [75, 126] from Operation: 76+50=126
Current State: 51:[75, 126], Operations: ['36+39=75', '76+50=126']
Exploring Operation: 126-75=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[36, 39, 76, 50], Operations: []
Exploring Operation: 76-39=37, Resulting Numbers: [36, 50, 37]
Generated Node #0,0: 51:[36, 50, 37] Operation: 76-39=37
Exploring Operation: 39-36=3, Resulting Numbers: [76, 50, 3]
Generated Node #0,1: 51:[76, 50, 3] Operation: 39-36=3
Exploring Operation: 76-36=40, Resulting Numbers: [39, 50, 40]
Generated Node #0,2: 51:[39, 50, 40] Operation: 76-36=40
Moving to Node #0,2
Current State: 51:[39, 50, 40], Operations: ['76-36=40']
Exploring Operation: 40-39=1, Resulting Numbers: [50, 1]
Generated Node #0,2,0: 51:[50, 1] Operation: 40-39=1
Exploring Operation: 50-40=10, Resulting Numbers: [39, 10]
Generated Node #0,2,1: 51:[39, 10] Operation: 50-40=10
Exploring Operation: 50-39=11, Resulting Numbers: [40, 11]
Generated Node #0,2,2: 51:[40, 11] Operation: 50-39=11
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[50, 1], Operations: ['76-36=40', '40-39=1']
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,51 unequal: No Solution
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:[36, 39, 76, 50], Operations: []
Exploring Operation: 76-36=40, Resulting Numbers: [39, 50, 40]
Generated Node #0,2: 51:[39, 50, 40] Operation: 76-36=40
Moving to Node #0,2
Current State: 51:[39, 50, 40], Operations: ['76-36=40']
Exploring Operation: 40-39=1, Resulting Numbers: [50, 1]
Generated Node #0,2,0: 51:[50, 1] Operation: 40-39=1
Moving to Node #0,2,0
Current State: 51:[50, 1], Operations: ['76-36=40', '40-39=1']
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
51,
48,
1,
23
] | 20 | [
"51-48=3",
"1*23=23",
"23-3=20"
] | Current State: 20:[51, 48, 1, 23], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [1, 23, 3]
Generated Node #2: [1, 23, 3] from Operation: 51-48=3
Current State: 20:[1, 23, 3], Operations: ['51-48=3']
Exploring Operation: 1*23=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 1*23=23
Current State: 20:[3, 23], Operations: ['51-48=3', '1*23=23']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[51, 48, 1, 23], Operations: []
Exploring Operation: 51-23=28, Resulting Numbers: [48, 1, 28]
Generated Node #0,0: 20:[48, 1, 28] Operation: 51-23=28
Exploring Operation: 51-1=50, Resulting Numbers: [48, 23, 50]
Generated Node #0,1: 20:[48, 23, 50] Operation: 51-1=50
Exploring Operation: 51-48=3, Resulting Numbers: [1, 23, 3]
Generated Node #0,2: 20:[1, 23, 3] Operation: 51-48=3
Exploring Operation: 48-23=25, Resulting Numbers: [51, 1, 25]
Generated Node #0,3: 20:[51, 1, 25] Operation: 48-23=25
Moving to Node #0,2
Current State: 20:[1, 23, 3], Operations: ['51-48=3']
Exploring Operation: 23-3=20, Resulting Numbers: [1, 20]
Generated Node #0,2,0: 20:[1, 20] Operation: 23-3=20
Exploring Operation: 1+3=4, Resulting Numbers: [23, 4]
Generated Node #0,2,1: 20:[23, 4] Operation: 1+3=4
Exploring Operation: 3-1=2, Resulting Numbers: [23, 2]
Generated Node #0,2,2: 20:[23, 2] Operation: 3-1=2
Exploring Operation: 23-1=22, Resulting Numbers: [3, 22]
Generated Node #0,2,3: 20:[3, 22] Operation: 23-1=22
Moving to Node #0,3
Current State: 20:[51, 1, 25], Operations: ['48-23=25']
Exploring Operation: 51*1=51, Resulting Numbers: [25, 51]
Generated Node #0,3,0: 20:[25, 51] Operation: 51*1=51
Exploring Operation: 51-25=26, Resulting Numbers: [1, 26]
Generated Node #0,3,1: 20:[1, 26] Operation: 51-25=26
Exploring Operation: 51-1=50, Resulting Numbers: [25, 50]
Generated Node #0,3,2: 20:[25, 50] Operation: 51-1=50
Exploring Operation: 25-1=24, Resulting Numbers: [51, 24]
Generated Node #0,3,3: 20:[51, 24] Operation: 25-1=24
Moving to Node #0,0
Current State: 20:[48, 1, 28], Operations: ['51-23=28']
Exploring Operation: 48*1=48, Resulting Numbers: [28, 48]
Generated Node #0,0,0: 20:[28, 48] Operation: 48*1=48
Exploring Operation: 48-28=20, Resulting Numbers: [1, 20]
Generated Node #0,0,1: 20:[1, 20] Operation: 48-28=20
Exploring Operation: 48-1=47, Resulting Numbers: [28, 47]
Generated Node #0,0,2: 20:[28, 47] Operation: 48-1=47
Exploring Operation: 28-1=27, Resulting Numbers: [48, 27]
Generated Node #0,0,3: 20:[48, 27] Operation: 28-1=27
Moving to Node #0,1
Current State: 20:[48, 23, 50], Operations: ['51-1=50']
Exploring Operation: 50-48=2, Resulting Numbers: [23, 2]
Generated Node #0,1,0: 20:[23, 2] Operation: 50-48=2
Exploring Operation: 50-23=27, Resulting Numbers: [48, 27]
Generated Node #0,1,1: 20:[48, 27] Operation: 50-23=27
Exploring Operation: 48-23=25, Resulting Numbers: [50, 25]
Generated Node #0,1,2: 20:[50, 25] Operation: 48-23=25
Exploring Operation: 48+23=71, Resulting Numbers: [50, 71]
Generated Node #0,1,3: 20:[50, 71] Operation: 48+23=71
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 20:[23, 2], Operations: ['51-1=50', '50-48=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,20 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:[48, 27], Operations: ['51-1=50', '50-23=27']
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,20 unequal: No Solution
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,20 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 #0,1,2
Current State: 20:[50, 25], Operations: ['51-1=50', '48-23=25']
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 50+25=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 50*25=1250, Resulting Numbers: [1250]
1250,20 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 #0,1,3
Current State: 20:[50, 71], Operations: ['51-1=50', '48+23=71']
Exploring Operation: 71-50=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 50+71=121, Resulting Numbers: [121]
121,20 unequal: No Solution
Exploring Operation: 50*71=3550, Resulting Numbers: [3550]
3550,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 20:[1, 20], Operations: ['51-48=3', '23-3=20']
Exploring Operation: 1*20=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[51, 48, 1, 23], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [1, 23, 3]
Generated Node #0,2: 20:[1, 23, 3] Operation: 51-48=3
Moving to Node #0,2
Current State: 20:[1, 23, 3], Operations: ['51-48=3']
Exploring Operation: 23-3=20, Resulting Numbers: [1, 20]
Generated Node #0,2,0: 20:[1, 20] Operation: 23-3=20
Moving to Node #0,2,0
Current State: 20:[1, 20], Operations: ['51-48=3', '23-3=20']
Exploring Operation: 1*20=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.967014 | hs_4 | mult_heuristic |
[
93,
84,
59,
91
] | 88 | [
"93+84=177",
"177/59=3",
"91-3=88"
] | Current State: 88:[93, 84, 59, 91], Operations: []
Exploring Operation: 93+84=177, Resulting Numbers: [59, 91, 177]
Generated Node #2: [59, 91, 177] from Operation: 93+84=177
Current State: 88:[59, 91, 177], Operations: ['93+84=177']
Exploring Operation: 177/59=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 177/59=3
Current State: 88:[91, 3], Operations: ['93+84=177', '177/59=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[93, 84, 59, 91], Operations: []
Exploring Operation: 84-59=25, Resulting Numbers: [93, 91, 25]
Generated Node #0,0: 88:[93, 91, 25] Operation: 84-59=25
Exploring Operation: 93-59=34, Resulting Numbers: [84, 91, 34]
Generated Node #0,1: 88:[84, 91, 34] Operation: 93-59=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[93, 91, 25], Operations: ['84-59=25']
Exploring Operation: 93-91=2, Resulting Numbers: [25, 2]
Generated Node #0,0,0: 88:[25, 2] Operation: 93-91=2
Exploring Operation: 93-25=68, Resulting Numbers: [91, 68]
Generated Node #0,0,1: 88:[91, 68] Operation: 93-25=68
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[25, 2], Operations: ['84-59=25', '93-91=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,88 unequal: No Solution
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,88 unequal: No Solution
No 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: 88:[91, 68], Operations: ['84-59=25', '93-25=68']
Exploring Operation: 91-68=23, Resulting Numbers: [23]
23,88 unequal: No Solution
Exploring Operation: 91+68=159, Resulting Numbers: [159]
159,88 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[84, 91, 34], Operations: ['93-59=34']
Exploring Operation: 84-34=50, Resulting Numbers: [91, 50]
Generated Node #0,1,0: 88:[91, 50] Operation: 84-34=50
Exploring Operation: 91-84=7, Resulting Numbers: [34, 7]
Generated Node #0,1,1: 88:[34, 7] Operation: 91-84=7
Moving to Node #0,1,0
Current State: 88:[91, 50], Operations: ['93-59=34', '84-34=50']
Exploring Operation: 91+50=141, Resulting Numbers: [141]
141,88 unequal: No Solution
Exploring Operation: 91-50=41, Resulting Numbers: [41]
41,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[34, 7], Operations: ['93-59=34', '91-84=7']
Exploring Operation: 34+7=41, Resulting Numbers: [41]
41,88 unequal: No Solution
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,88 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 |
[
27,
7,
7,
84
] | 98 | [
"27*7=189",
"7+84=91",
"189-91=98"
] | Current State: 98:[27, 7, 7, 84], Operations: []
Exploring Operation: 27*7=189, Resulting Numbers: [84, 189]
Generated Node #2: [84, 189] from Operation: 27*7=189
Current State: 98:[84, 189], Operations: ['27*7=189']
Exploring Operation: 7+84=91, Resulting Numbers: [189, 91]
Generated Node #3: [189, 91] from Operation: 7+84=91
Current State: 98:[189, 91], Operations: ['27*7=189', '7+84=91']
Exploring Operation: 189-91=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[27, 7, 7, 84], Operations: []
Exploring Operation: 27+84=111, Resulting Numbers: [7, 7, 111]
Generated Node #0,0: 98:[7, 7, 111] Operation: 27+84=111
Exploring Operation: 84-27=57, Resulting Numbers: [7, 7, 57]
Generated Node #0,1: 98:[7, 7, 57] Operation: 84-27=57
Moving to Node #0,1
Current State: 98:[7, 7, 57], Operations: ['84-27=57']
Exploring Operation: 57-7=50, Resulting Numbers: [7, 50]
Generated Node #0,1,0: 98:[7, 50] Operation: 57-7=50
Exploring Operation: 57-7=50, Resulting Numbers: [7, 50]
Generated Node #0,1,1: 98:[7, 50] Operation: 57-7=50
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 98:[7, 50], Operations: ['84-27=57', '57-7=50']
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,98 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 98:[7, 50], Operations: ['84-27=57', '57-7=50']
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 98:[7, 7, 111], Operations: ['27+84=111']
Exploring Operation: 111-7=104, Resulting Numbers: [7, 104]
Generated Node #0,0,0: 98:[7, 104] Operation: 111-7=104
Exploring Operation: 111-7=104, Resulting Numbers: [7, 104]
Generated Node #0,0,1: 98:[7, 104] Operation: 111-7=104
Moving to Node #0,0,0
Current State: 98:[7, 104], Operations: ['27+84=111', '111-7=104']
Exploring Operation: 104-7=97, Resulting Numbers: [97]
97,98 unequal: No Solution
Exploring Operation: 7+104=111, Resulting Numbers: [111]
111,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[7, 104], Operations: ['27+84=111', '111-7=104']
Exploring Operation: 7+104=111, Resulting Numbers: [111]
111,98 unequal: No Solution
Exploring Operation: 104-7=97, Resulting Numbers: [97]
97,98 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
2,
90,
20,
76
] | 64 | [
"90-20=70",
"2*70=140",
"140-76=64"
] | Current State: 64:[2, 90, 20, 76], Operations: []
Exploring Operation: 90-20=70, Resulting Numbers: [2, 76, 70]
Generated Node #2: [2, 76, 70] from Operation: 90-20=70
Current State: 64:[2, 76, 70], Operations: ['90-20=70']
Exploring Operation: 2*70=140, Resulting Numbers: [76, 140]
Generated Node #3: [76, 140] from Operation: 2*70=140
Current State: 64:[76, 140], Operations: ['90-20=70', '2*70=140']
Exploring Operation: 140-76=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[2, 90, 20, 76], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [2, 20, 14]
Generated Node #0,0: 64:[2, 20, 14] Operation: 90-76=14
Exploring Operation: 90-20=70, Resulting Numbers: [2, 76, 70]
Generated Node #0,1: 64:[2, 76, 70] Operation: 90-20=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[2, 20, 14], Operations: ['90-76=14']
Exploring Operation: 20-14=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 64:[2, 6] Operation: 20-14=6
Exploring Operation: 20+14=34, Resulting Numbers: [2, 34]
Generated Node #0,0,1: 64:[2, 34] Operation: 20+14=34
Moving to Node #0,0,0
Current State: 64:[2, 6], Operations: ['90-76=14', '20-14=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[2, 34], Operations: ['90-76=14', '20+14=34']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[2, 76, 70], Operations: ['90-20=70']
Exploring Operation: 76-70=6, Resulting Numbers: [2, 6]
Generated Node #0,1,0: 64:[2, 6] Operation: 76-70=6
Exploring Operation: 76/2=38, Resulting Numbers: [70, 38]
Generated Node #0,1,1: 64:[70, 38] Operation: 76/2=38
Moving to Node #0,1,0
Current State: 64:[2, 6], Operations: ['90-20=70', '76-70=6']
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[70, 38], Operations: ['90-20=70', '76/2=38']
Exploring Operation: 70-38=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 70+38=108, Resulting Numbers: [108]
108,64 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 |
[
12,
1,
12,
76
] | 74 | [
"12/12=1",
"76-1=75",
"75-1=74"
] | Current State: 74:[12, 1, 12, 76], Operations: []
Exploring Operation: 12/12=1, Resulting Numbers: [1, 76, 1]
Generated Node #2: [1, 76, 1] from Operation: 12/12=1
Current State: 74:[1, 76, 1], Operations: ['12/12=1']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,74 equal: Goal Reached
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[12, 1, 12, 76], Operations: []
Exploring Operation: 12-12=0, Resulting Numbers: [1, 76, 0]
Generated Node #0,0: 74:[1, 76, 0] Operation: 12-12=0
Exploring Operation: 12/12=1, Resulting Numbers: [1, 76, 1]
Generated Node #0,1: 74:[1, 76, 1] Operation: 12/12=1
Exploring Operation: 12+12=24, Resulting Numbers: [1, 76, 24]
Generated Node #0,2: 74:[1, 76, 24] Operation: 12+12=24
Moving to Node #0,1
Current State: 74:[1, 76, 1], Operations: ['12/12=1']
Exploring Operation: 1+1=2, Resulting Numbers: [76, 2]
Generated Node #0,1,0: 74:[76, 2] Operation: 1+1=2
Exploring Operation: 76-1=75, Resulting Numbers: [1, 75]
Generated Node #0,1,1: 74:[1, 75] Operation: 76-1=75
Exploring Operation: 76-1=75, Resulting Numbers: [1, 75]
Generated Node #0,1,2: 74:[1, 75] Operation: 76-1=75
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[76, 2], Operations: ['12/12=1', '1+1=2']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,74 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[12, 1, 12, 76], Operations: []
Exploring Operation: 12/12=1, Resulting Numbers: [1, 76, 1]
Generated Node #0,1: 74:[1, 76, 1] Operation: 12/12=1
Moving to Node #0,1
Current State: 74:[1, 76, 1], Operations: ['12/12=1']
Exploring Operation: 1+1=2, Resulting Numbers: [76, 2]
Generated Node #0,1,0: 74:[76, 2] Operation: 1+1=2
Moving to Node #0,1,0
Current State: 74:[76, 2], Operations: ['12/12=1', '1+1=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
88,
82,
16,
72
] | 50 | [
"88-82=6",
"72-16=56",
"56-6=50"
] | Current State: 50:[88, 82, 16, 72], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [16, 72, 6]
Generated Node #2: [16, 72, 6] from Operation: 88-82=6
Current State: 50:[16, 72, 6], Operations: ['88-82=6']
Exploring Operation: 72-16=56, Resulting Numbers: [6, 56]
Generated Node #3: [6, 56] from Operation: 72-16=56
Current State: 50:[6, 56], Operations: ['88-82=6', '72-16=56']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[88, 82, 16, 72], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [88, 16, 10]
Generated Node #0,0: 50:[88, 16, 10] Operation: 82-72=10
Exploring Operation: 88-16=72, Resulting Numbers: [82, 72, 72]
Generated Node #0,1: 50:[82, 72, 72] Operation: 88-16=72
Exploring Operation: 88-82=6, Resulting Numbers: [16, 72, 6]
Generated Node #0,2: 50:[16, 72, 6] Operation: 88-82=6
Exploring Operation: 82-16=66, Resulting Numbers: [88, 72, 66]
Generated Node #0,3: 50:[88, 72, 66] Operation: 82-16=66
Exploring Operation: 88-72=16, Resulting Numbers: [82, 16, 16]
Generated Node #0,4: 50:[82, 16, 16] Operation: 88-72=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[16, 72, 6], Operations: ['88-82=6']
Exploring Operation: 72-16=56, Resulting Numbers: [6, 56]
Generated Node #0,2,0: 50:[6, 56] Operation: 72-16=56
Exploring Operation: 72/6=12, Resulting Numbers: [16, 12]
Generated Node #0,2,1: 50:[16, 12] Operation: 72/6=12
Exploring Operation: 16-6=10, Resulting Numbers: [72, 10]
Generated Node #0,2,2: 50:[72, 10] Operation: 16-6=10
Exploring Operation: 16+6=22, Resulting Numbers: [72, 22]
Generated Node #0,2,3: 50:[72, 22] Operation: 16+6=22
Exploring Operation: 72-6=66, Resulting Numbers: [16, 66]
Generated Node #0,2,4: 50:[16, 66] Operation: 72-6=66
Moving to Node #0,2,0
Current State: 50:[6, 56], Operations: ['88-82=6', '72-16=56']
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,50 unequal: No Solution
Exploring Operation: 6*56=336, Resulting Numbers: [336]
336,50 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[88, 82, 16, 72], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [16, 72, 6]
Generated Node #0,2: 50:[16, 72, 6] Operation: 88-82=6
Moving to Node #0,2
Current State: 50:[16, 72, 6], Operations: ['88-82=6']
Exploring Operation: 72-16=56, Resulting Numbers: [6, 56]
Generated Node #0,2,0: 50:[6, 56] Operation: 72-16=56
Moving to Node #0,2,0
Current State: 50:[6, 56], Operations: ['88-82=6', '72-16=56']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
74,
44,
39,
6
] | 15 | [
"74-44=30",
"39+6=45",
"45-30=15"
] | Current State: 15:[74, 44, 39, 6], Operations: []
Exploring Operation: 74-44=30, Resulting Numbers: [39, 6, 30]
Generated Node #2: [39, 6, 30] from Operation: 74-44=30
Current State: 15:[39, 6, 30], Operations: ['74-44=30']
Exploring Operation: 39+6=45, Resulting Numbers: [30, 45]
Generated Node #3: [30, 45] from Operation: 39+6=45
Current State: 15:[30, 45], Operations: ['74-44=30', '39+6=45']
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[74, 44, 39, 6], Operations: []
Exploring Operation: 74-44=30, Resulting Numbers: [39, 6, 30]
Generated Node #0,0: 15:[39, 6, 30] Operation: 74-44=30
Exploring Operation: 74-39=35, Resulting Numbers: [44, 6, 35]
Generated Node #0,1: 15:[44, 6, 35] Operation: 74-39=35
Moving to Node #0,0
Current State: 15:[39, 6, 30], Operations: ['74-44=30']
Exploring Operation: 39-30=9, Resulting Numbers: [6, 9]
Generated Node #0,0,0: 15:[6, 9] Operation: 39-30=9
Exploring Operation: 30/6=5, Resulting Numbers: [39, 5]
Generated Node #0,0,1: 15:[39, 5] Operation: 30/6=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[6, 9], Operations: ['74-44=30', '39-30=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[74, 44, 39, 6], Operations: []
Exploring Operation: 74-44=30, Resulting Numbers: [39, 6, 30]
Generated Node #0,0: 15:[39, 6, 30] Operation: 74-44=30
Moving to Node #0,0
Current State: 15:[39, 6, 30], Operations: ['74-44=30']
Exploring Operation: 39-30=9, Resulting Numbers: [6, 9]
Generated Node #0,0,0: 15:[6, 9] Operation: 39-30=9
Moving to Node #0,0,0
Current State: 15:[6, 9], Operations: ['74-44=30', '39-30=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
83,
37,
68,
72
] | 50 | [
"83-37=46",
"72-68=4",
"46+4=50"
] | Current State: 50:[83, 37, 68, 72], Operations: []
Exploring Operation: 83-37=46, Resulting Numbers: [68, 72, 46]
Generated Node #2: [68, 72, 46] from Operation: 83-37=46
Current State: 50:[68, 72, 46], Operations: ['83-37=46']
Exploring Operation: 72-68=4, Resulting Numbers: [46, 4]
Generated Node #3: [46, 4] from Operation: 72-68=4
Current State: 50:[46, 4], Operations: ['83-37=46', '72-68=4']
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[83, 37, 68, 72], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [83, 37, 4]
Generated Node #0,0: 50:[83, 37, 4] Operation: 72-68=4
Exploring Operation: 83-68=15, Resulting Numbers: [37, 72, 15]
Generated Node #0,1: 50:[37, 72, 15] Operation: 83-68=15
Exploring Operation: 83-37=46, Resulting Numbers: [68, 72, 46]
Generated Node #0,2: 50:[68, 72, 46] Operation: 83-37=46
Exploring Operation: 83-72=11, Resulting Numbers: [37, 68, 11]
Generated Node #0,3: 50:[37, 68, 11] Operation: 83-72=11
Moving to Node #0,3
Current State: 50:[37, 68, 11], Operations: ['83-72=11']
Exploring Operation: 68-37=31, Resulting Numbers: [11, 31]
Generated Node #0,3,0: 50:[11, 31] Operation: 68-37=31
Exploring Operation: 37-11=26, Resulting Numbers: [68, 26]
Generated Node #0,3,1: 50:[68, 26] Operation: 37-11=26
Exploring Operation: 68-11=57, Resulting Numbers: [37, 57]
Generated Node #0,3,2: 50:[37, 57] Operation: 68-11=57
Exploring Operation: 37+11=48, Resulting Numbers: [68, 48]
Generated Node #0,3,3: 50:[68, 48] Operation: 37+11=48
Moving to Node #0,1
Current State: 50:[37, 72, 15], Operations: ['83-68=15']
Exploring Operation: 72-37=35, Resulting Numbers: [15, 35]
Generated Node #0,1,0: 50:[15, 35] Operation: 72-37=35
Exploring Operation: 37-15=22, Resulting Numbers: [72, 22]
Generated Node #0,1,1: 50:[72, 22] Operation: 37-15=22
Exploring Operation: 72-15=57, Resulting Numbers: [37, 57]
Generated Node #0,1,2: 50:[37, 57] Operation: 72-15=57
Exploring Operation: 37+15=52, Resulting Numbers: [72, 52]
Generated Node #0,1,3: 50:[72, 52] Operation: 37+15=52
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[15, 35], Operations: ['83-68=15', '72-37=35']
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,50 unequal: No Solution
Exploring Operation: 15*35=525, Resulting Numbers: [525]
525,50 unequal: No Solution
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[83, 37, 68, 72], Operations: []
Exploring Operation: 83-68=15, Resulting Numbers: [37, 72, 15]
Generated Node #0,1: 50:[37, 72, 15] Operation: 83-68=15
Moving to Node #0,1
Current State: 50:[37, 72, 15], Operations: ['83-68=15']
Exploring Operation: 72-37=35, Resulting Numbers: [15, 35]
Generated Node #0,1,0: 50:[15, 35] Operation: 72-37=35
Moving to Node #0,1,0
Current State: 50:[15, 35], Operations: ['83-68=15', '72-37=35']
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
36,
85,
26,
12
] | 62 | [
"36/12=3",
"85-26=59",
"3+59=62"
] | Current State: 62:[36, 85, 26, 12], Operations: []
Exploring Operation: 36/12=3, Resulting Numbers: [85, 26, 3]
Generated Node #2: [85, 26, 3] from Operation: 36/12=3
Current State: 62:[85, 26, 3], Operations: ['36/12=3']
Exploring Operation: 85-26=59, Resulting Numbers: [3, 59]
Generated Node #3: [3, 59] from Operation: 85-26=59
Current State: 62:[3, 59], Operations: ['36/12=3', '85-26=59']
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[36, 85, 26, 12], Operations: []
Exploring Operation: 85-26=59, Resulting Numbers: [36, 12, 59]
Generated Node #0,0: 62:[36, 12, 59] Operation: 85-26=59
Exploring Operation: 85-12=73, Resulting Numbers: [36, 26, 73]
Generated Node #0,1: 62:[36, 26, 73] Operation: 85-12=73
Moving to Node #0,0
Current State: 62:[36, 12, 59], Operations: ['85-26=59']
Exploring Operation: 36-12=24, Resulting Numbers: [59, 24]
Generated Node #0,0,0: 62:[59, 24] Operation: 36-12=24
Exploring Operation: 36/12=3, Resulting Numbers: [59, 3]
Generated Node #0,0,1: 62:[59, 3] Operation: 36/12=3
Moving to Node #0,1
Current State: 62:[36, 26, 73], Operations: ['85-12=73']
Exploring Operation: 73-36=37, Resulting Numbers: [26, 37]
Generated Node #0,1,0: 62:[26, 37] Operation: 73-36=37
Exploring Operation: 36+26=62, Resulting Numbers: [73, 62]
Generated Node #0,1,1: 62:[73, 62] Operation: 36+26=62
Moving to Node #0,0,1
Current State: 62:[59, 3], Operations: ['85-26=59', '36/12=3']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,62 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[36, 85, 26, 12], Operations: []
Exploring Operation: 85-26=59, Resulting Numbers: [36, 12, 59]
Generated Node #0,0: 62:[36, 12, 59] Operation: 85-26=59
Moving to Node #0,0
Current State: 62:[36, 12, 59], Operations: ['85-26=59']
Exploring Operation: 36/12=3, Resulting Numbers: [59, 3]
Generated Node #0,0,1: 62:[59, 3] Operation: 36/12=3
Moving to Node #0,0,1
Current State: 62:[59, 3], Operations: ['85-26=59', '36/12=3']
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
66,
90,
32,
29
] | 72 | [
"90-66=24",
"32-29=3",
"24*3=72"
] | Current State: 72:[66, 90, 32, 29], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [32, 29, 24]
Generated Node #2: [32, 29, 24] from Operation: 90-66=24
Current State: 72:[32, 29, 24], Operations: ['90-66=24']
Exploring Operation: 32-29=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 32-29=3
Current State: 72:[24, 3], Operations: ['90-66=24', '32-29=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[66, 90, 32, 29], Operations: []
Exploring Operation: 90-29=61, Resulting Numbers: [66, 32, 61]
Generated Node #0,0: 72:[66, 32, 61] Operation: 90-29=61
Exploring Operation: 90-66=24, Resulting Numbers: [32, 29, 24]
Generated Node #0,1: 72:[32, 29, 24] Operation: 90-66=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[32, 29, 24], Operations: ['90-66=24']
Exploring Operation: 32-24=8, Resulting Numbers: [29, 8]
Generated Node #0,1,0: 72:[29, 8] Operation: 32-24=8
Exploring Operation: 32-29=3, Resulting Numbers: [24, 3]
Generated Node #0,1,1: 72:[24, 3] Operation: 32-29=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 72:[24, 3], Operations: ['90-66=24', '32-29=3']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[66, 90, 32, 29], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [32, 29, 24]
Generated Node #0,1: 72:[32, 29, 24] Operation: 90-66=24
Moving to Node #0,1
Current State: 72:[32, 29, 24], Operations: ['90-66=24']
Exploring Operation: 32-29=3, Resulting Numbers: [24, 3]
Generated Node #0,1,1: 72:[24, 3] Operation: 32-29=3
Moving to Node #0,1,1
Current State: 72:[24, 3], Operations: ['90-66=24', '32-29=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
82,
46,
82,
16
] | 63 | [
"82/82=1",
"46+16=62",
"1+62=63"
] | Current State: 63:[82, 46, 82, 16], Operations: []
Exploring Operation: 82/82=1, Resulting Numbers: [46, 16, 1]
Generated Node #2: [46, 16, 1] from Operation: 82/82=1
Current State: 63:[46, 16, 1], Operations: ['82/82=1']
Exploring Operation: 46+16=62, Resulting Numbers: [1, 62]
Generated Node #3: [1, 62] from Operation: 46+16=62
Current State: 63:[1, 62], Operations: ['82/82=1', '46+16=62']
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[82, 46, 82, 16], Operations: []
Exploring Operation: 82/82=1, Resulting Numbers: [46, 16, 1]
Generated Node #0,0: 63:[46, 16, 1] Operation: 82/82=1
Exploring Operation: 82-82=0, Resulting Numbers: [46, 16, 0]
Generated Node #0,1: 63:[46, 16, 0] Operation: 82-82=0
Exploring Operation: 82-16=66, Resulting Numbers: [46, 82, 66]
Generated Node #0,2: 63:[46, 82, 66] Operation: 82-16=66
Exploring Operation: 82-46=36, Resulting Numbers: [82, 16, 36]
Generated Node #0,3: 63:[82, 16, 36] Operation: 82-46=36
Exploring Operation: 82-46=36, Resulting Numbers: [82, 16, 36]
Generated Node #0,4: 63:[82, 16, 36] Operation: 82-46=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[46, 16, 1], Operations: ['82/82=1']
Exploring Operation: 46+16=62, Resulting Numbers: [1, 62]
Generated Node #0,0,0: 63:[1, 62] Operation: 46+16=62
Exploring Operation: 16+1=17, Resulting Numbers: [46, 17]
Generated Node #0,0,1: 63:[46, 17] Operation: 16+1=17
Exploring Operation: 46*1=46, Resulting Numbers: [16, 46]
Generated Node #0,0,2: 63:[16, 46] Operation: 46*1=46
Exploring Operation: 46-16=30, Resulting Numbers: [1, 30]
Generated Node #0,0,3: 63:[1, 30] Operation: 46-16=30
Exploring Operation: 46+1=47, Resulting Numbers: [16, 47]
Generated Node #0,0,4: 63:[16, 47] Operation: 46+1=47
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[1, 62], Operations: ['82/82=1', '46+16=62']
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 1*62=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,63 unequal: No Solution
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[82, 46, 82, 16], Operations: []
Exploring Operation: 82/82=1, Resulting Numbers: [46, 16, 1]
Generated Node #0,0: 63:[46, 16, 1] Operation: 82/82=1
Moving to Node #0,0
Current State: 63:[46, 16, 1], Operations: ['82/82=1']
Exploring Operation: 46+16=62, Resulting Numbers: [1, 62]
Generated Node #0,0,0: 63:[1, 62] Operation: 46+16=62
Moving to Node #0,0,0
Current State: 63:[1, 62], Operations: ['82/82=1', '46+16=62']
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
46,
28,
57,
77
] | 35 | [
"57-46=11",
"77/11=7",
"28+7=35"
] | Current State: 35:[46, 28, 57, 77], Operations: []
Exploring Operation: 57-46=11, Resulting Numbers: [28, 77, 11]
Generated Node #2: [28, 77, 11] from Operation: 57-46=11
Current State: 35:[28, 77, 11], Operations: ['57-46=11']
Exploring Operation: 77/11=7, Resulting Numbers: [28, 7]
Generated Node #3: [28, 7] from Operation: 77/11=7
Current State: 35:[28, 7], Operations: ['57-46=11', '77/11=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[46, 28, 57, 77], Operations: []
Exploring Operation: 77-57=20, Resulting Numbers: [46, 28, 20]
Generated Node #0,0: 35:[46, 28, 20] Operation: 77-57=20
Exploring Operation: 57-46=11, Resulting Numbers: [28, 77, 11]
Generated Node #0,1: 35:[28, 77, 11] Operation: 57-46=11
Exploring Operation: 57-28=29, Resulting Numbers: [46, 77, 29]
Generated Node #0,2: 35:[46, 77, 29] Operation: 57-28=29
Exploring Operation: 77-46=31, Resulting Numbers: [28, 57, 31]
Generated Node #0,3: 35:[28, 57, 31] Operation: 77-46=31
Exploring Operation: 77-28=49, Resulting Numbers: [46, 57, 49]
Generated Node #0,4: 35:[46, 57, 49] Operation: 77-28=49
Moving to Node #0,0
Current State: 35:[46, 28, 20], Operations: ['77-57=20']
Exploring Operation: 46-20=26, Resulting Numbers: [28, 26]
Generated Node #0,0,0: 35:[28, 26] Operation: 46-20=26
Exploring Operation: 28-20=8, Resulting Numbers: [46, 8]
Generated Node #0,0,1: 35:[46, 8] Operation: 28-20=8
Exploring Operation: 46-28=18, Resulting Numbers: [20, 18]
Generated Node #0,0,2: 35:[20, 18] Operation: 46-28=18
Exploring Operation: 28+20=48, Resulting Numbers: [46, 48]
Generated Node #0,0,3: 35:[46, 48] Operation: 28+20=48
Exploring Operation: 46+20=66, Resulting Numbers: [28, 66]
Generated Node #0,0,4: 35:[28, 66] Operation: 46+20=66
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 35:[46, 8], Operations: ['77-57=20', '28-20=8']
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[28, 26], Operations: ['77-57=20', '46-20=26']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 28*26=728, Resulting Numbers: [728]
728,35 unequal: No Solution
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 35:[20, 18], Operations: ['77-57=20', '46-28=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 35:[46, 48], Operations: ['77-57=20', '28+20=48']
Exploring Operation: 48-46=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 46+48=94, Resulting Numbers: [94]
94,35 unequal: No Solution
Exploring Operation: 46*48=2208, Resulting Numbers: [2208]
2208,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 35:[28, 66], Operations: ['77-57=20', '46+20=66']
Exploring Operation: 28+66=94, Resulting Numbers: [94]
94,35 unequal: No Solution
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 28*66=1848, Resulting Numbers: [1848]
1848,35 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: 35:[28, 57, 31], Operations: ['77-46=31']
Exploring Operation: 28+31=59, Resulting Numbers: [57, 59]
Generated Node #0,3,0: 35:[57, 59] Operation: 28+31=59
Exploring Operation: 57-31=26, Resulting Numbers: [28, 26]
Generated Node #0,3,1: 35:[28, 26] Operation: 57-31=26
Exploring Operation: 28+57=85, Resulting Numbers: [31, 85]
Generated Node #0,3,2: 35:[31, 85] Operation: 28+57=85
Exploring Operation: 31-28=3, Resulting Numbers: [57, 3]
Generated Node #0,3,3: 35:[57, 3] Operation: 31-28=3
Exploring Operation: 57-28=29, Resulting Numbers: [31, 29]
Generated Node #0,3,4: 35:[31, 29] Operation: 57-28=29
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 35:[31, 29], Operations: ['77-46=31', '57-28=29']
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 31+29=60, Resulting Numbers: [60]
60,35 unequal: No Solution
Exploring Operation: 31*29=899, Resulting Numbers: [899]
899,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 35:[28, 26], Operations: ['77-46=31', '57-31=26']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 28*26=728, Resulting Numbers: [728]
728,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 35:[57, 3], Operations: ['77-46=31', '31-28=3']
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,35 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,35 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 35:[57, 59], Operations: ['77-46=31', '28+31=59']
Exploring Operation: 57*59=3363, Resulting Numbers: [3363]
3363,35 unequal: No Solution
Exploring Operation: 57+59=116, Resulting Numbers: [116]
116,35 unequal: No Solution
Exploring Operation: 59-57=2, Resulting Numbers: [2]
2,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 35:[31, 85], Operations: ['77-46=31', '28+57=85']
Exploring Operation: 31+85=116, Resulting Numbers: [116]
116,35 unequal: No Solution
Exploring Operation: 85-31=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 31*85=2635, Resulting Numbers: [2635]
2635,35 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: 35:[46, 57, 49], Operations: ['77-28=49']
Exploring Operation: 46+57=103, Resulting Numbers: [49, 103]
Generated Node #0,4,0: 35:[49, 103] Operation: 46+57=103
Exploring Operation: 57-46=11, Resulting Numbers: [49, 11]
Generated Node #0,4,1: 35:[49, 11] Operation: 57-46=11
Exploring Operation: 57-49=8, Resulting Numbers: [46, 8]
Generated Node #0,4,2: 35:[46, 8] Operation: 57-49=8
Exploring Operation: 49-46=3, Resulting Numbers: [57, 3]
Generated Node #0,4,3: 35:[57, 3] Operation: 49-46=3
Exploring Operation: 46+49=95, Resulting Numbers: [57, 95]
Generated Node #0,4,4: 35:[57, 95] Operation: 46+49=95
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 35:[46, 8], Operations: ['77-28=49', '57-49=8']
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 35:[49, 11], Operations: ['77-28=49', '57-46=11']
Exploring Operation: 49*11=539, Resulting Numbers: [539]
539,35 unequal: No Solution
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,35 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 35:[57, 3], Operations: ['77-28=49', '49-46=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,35 unequal: No Solution
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,35 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 35:[49, 103], Operations: ['77-28=49', '46+57=103']
Exploring Operation: 49*103=5047, Resulting Numbers: [5047]
5047,35 unequal: No Solution
Exploring Operation: 103-49=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 49+103=152, Resulting Numbers: [152]
152,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 35:[57, 95], Operations: ['77-28=49', '46+49=95']
Exploring Operation: 57+95=152, Resulting Numbers: [152]
152,35 unequal: No Solution
Exploring Operation: 95-57=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 57*95=5415, Resulting Numbers: [5415]
5415,35 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: 35:[28, 77, 11], Operations: ['57-46=11']
Exploring Operation: 28+11=39, Resulting Numbers: [77, 39]
Generated Node #0,1,0: 35:[77, 39] Operation: 28+11=39
Exploring Operation: 28-11=17, Resulting Numbers: [77, 17]
Generated Node #0,1,1: 35:[77, 17] Operation: 28-11=17
Exploring Operation: 77-11=66, Resulting Numbers: [28, 66]
Generated Node #0,1,2: 35:[28, 66] Operation: 77-11=66
Exploring Operation: 77-28=49, Resulting Numbers: [11, 49]
Generated Node #0,1,3: 35:[11, 49] Operation: 77-28=49
Exploring Operation: 77/11=7, Resulting Numbers: [28, 7]
Generated Node #0,1,4: 35:[28, 7] Operation: 77/11=7
Moving to Node #0,2
Current State: 35:[46, 77, 29], Operations: ['57-28=29']
Exploring Operation: 46-29=17, Resulting Numbers: [77, 17]
Generated Node #0,2,0: 35:[77, 17] Operation: 46-29=17
Exploring Operation: 77-46=31, Resulting Numbers: [29, 31]
Generated Node #0,2,1: 35:[29, 31] Operation: 77-46=31
Exploring Operation: 77+29=106, Resulting Numbers: [46, 106]
Generated Node #0,2,2: 35:[46, 106] Operation: 77+29=106
Exploring Operation: 77-29=48, Resulting Numbers: [46, 48]
Generated Node #0,2,3: 35:[46, 48] Operation: 77-29=48
Exploring Operation: 46+29=75, Resulting Numbers: [77, 75]
Generated Node #0,2,4: 35:[77, 75] Operation: 46+29=75
Moving to Node #0,1,4
Current State: 35:[28, 7], Operations: ['57-46=11', '77/11=7']
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,35 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[46, 28, 57, 77], Operations: []
Exploring Operation: 57-46=11, Resulting Numbers: [28, 77, 11]
Generated Node #0,1: 35:[28, 77, 11] Operation: 57-46=11
Moving to Node #0,1
Current State: 35:[28, 77, 11], Operations: ['57-46=11']
Exploring Operation: 77/11=7, Resulting Numbers: [28, 7]
Generated Node #0,1,4: 35:[28, 7] Operation: 77/11=7
Moving to Node #0,1,4
Current State: 35:[28, 7], Operations: ['57-46=11', '77/11=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.926215 | hs_5 | sum_heuristic |
[
2,
69,
44,
29
] | 62 | [
"44/2=22",
"69-29=40",
"22+40=62"
] | Current State: 62:[2, 69, 44, 29], Operations: []
Exploring Operation: 44/2=22, Resulting Numbers: [69, 29, 22]
Generated Node #2: [69, 29, 22] from Operation: 44/2=22
Current State: 62:[69, 29, 22], Operations: ['44/2=22']
Exploring Operation: 69-29=40, Resulting Numbers: [22, 40]
Generated Node #3: [22, 40] from Operation: 69-29=40
Current State: 62:[22, 40], Operations: ['44/2=22', '69-29=40']
Exploring Operation: 22+40=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[2, 69, 44, 29], Operations: []
Exploring Operation: 69-44=25, Resulting Numbers: [2, 29, 25]
Generated Node #0,0: 62:[2, 29, 25] Operation: 69-44=25
Exploring Operation: 44+29=73, Resulting Numbers: [2, 69, 73]
Generated Node #0,1: 62:[2, 69, 73] Operation: 44+29=73
Exploring Operation: 69-2=67, Resulting Numbers: [44, 29, 67]
Generated Node #0,2: 62:[44, 29, 67] Operation: 69-2=67
Exploring Operation: 44/2=22, Resulting Numbers: [69, 29, 22]
Generated Node #0,3: 62:[69, 29, 22] Operation: 44/2=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[2, 29, 25], Operations: ['69-44=25']
Exploring Operation: 29+25=54, Resulting Numbers: [2, 54]
Generated Node #0,0,0: 62:[2, 54] Operation: 29+25=54
Exploring Operation: 2+29=31, Resulting Numbers: [25, 31]
Generated Node #0,0,1: 62:[25, 31] Operation: 2+29=31
Exploring Operation: 2+25=27, Resulting Numbers: [29, 27]
Generated Node #0,0,2: 62:[29, 27] Operation: 2+25=27
Exploring Operation: 29-25=4, Resulting Numbers: [2, 4]
Generated Node #0,0,3: 62:[2, 4] Operation: 29-25=4
Moving to Node #0,0,3
Current State: 62:[2, 4], Operations: ['69-44=25', '29-25=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,62 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Moving to Node #0,0,2
Current State: 62:[29, 27], Operations: ['69-44=25', '2+25=27']
Exploring Operation: 29+27=56, Resulting Numbers: [56]
56,62 unequal: No Solution
Exploring Operation: 29*27=783, Resulting Numbers: [783]
783,62 unequal: No Solution
Exploring Operation: 29-27=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[25, 31], Operations: ['69-44=25', '2+29=31']
Exploring Operation: 25*31=775, Resulting Numbers: [775]
775,62 unequal: No Solution
Exploring Operation: 25+31=56, Resulting Numbers: [56]
56,62 unequal: No Solution
Exploring Operation: 31-25=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Moving to Node #0,0,0
Current State: 62:[2, 54], Operations: ['69-44=25', '29+25=54']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,62 unequal: No Solution
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,62 unequal: No Solution
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,62 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[2, 69, 73], Operations: ['44+29=73']
Exploring Operation: 73-69=4, Resulting Numbers: [2, 4]
Generated Node #0,1,0: 62:[2, 4] Operation: 73-69=4
Exploring Operation: 2+69=71, Resulting Numbers: [73, 71]
Generated Node #0,1,1: 62:[73, 71] Operation: 2+69=71
Exploring Operation: 69-2=67, Resulting Numbers: [73, 67]
Generated Node #0,1,2: 62:[73, 67] Operation: 69-2=67
Exploring Operation: 73-2=71, Resulting Numbers: [69, 71]
Generated Node #0,1,3: 62:[69, 71] Operation: 73-2=71
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[2, 4], Operations: ['44+29=73', '73-69=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 62:[73, 67], Operations: ['44+29=73', '69-2=67']
Exploring Operation: 73+67=140, Resulting Numbers: [140]
140,62 unequal: No Solution
Exploring Operation: 73-67=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 73*67=4891, Resulting Numbers: [4891]
4891,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 62:[69, 71], Operations: ['44+29=73', '73-2=71']
Exploring Operation: 71-69=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 69+71=140, Resulting Numbers: [140]
140,62 unequal: No Solution
Exploring Operation: 69*71=4899, Resulting Numbers: [4899]
4899,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 62:[73, 71], Operations: ['44+29=73', '2+69=71']
Exploring Operation: 73-71=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 73*71=5183, Resulting Numbers: [5183]
5183,62 unequal: No Solution
Exploring Operation: 73+71=144, Resulting Numbers: [144]
144,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 62:[69, 29, 22], Operations: ['44/2=22']
Exploring Operation: 29-22=7, Resulting Numbers: [69, 7]
Generated Node #0,3,0: 62:[69, 7] Operation: 29-22=7
Exploring Operation: 69-22=47, Resulting Numbers: [29, 47]
Generated Node #0,3,1: 62:[29, 47] Operation: 69-22=47
Exploring Operation: 29+22=51, Resulting Numbers: [69, 51]
Generated Node #0,3,2: 62:[69, 51] Operation: 29+22=51
Exploring Operation: 69-29=40, Resulting Numbers: [22, 40]
Generated Node #0,3,3: 62:[22, 40] Operation: 69-29=40
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 62:[69, 7], Operations: ['44/2=22', '29-22=7']
Exploring Operation: 69*7=483, Resulting Numbers: [483]
483,62 unequal: No Solution
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[2, 69, 44, 29], Operations: []
Exploring Operation: 44/2=22, Resulting Numbers: [69, 29, 22]
Generated Node #0,3: 62:[69, 29, 22] Operation: 44/2=22
Moving to Node #0,3
Current State: 62:[69, 29, 22], Operations: ['44/2=22']
Exploring Operation: 29-22=7, Resulting Numbers: [69, 7]
Generated Node #0,3,0: 62:[69, 7] Operation: 29-22=7
Moving to Node #0,3,0
Current State: 62:[69, 7], Operations: ['44/2=22', '29-22=7']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.957465 | hs_4 | sum_heuristic |
[
36,
8,
12,
57
] | 72 | [
"36+12=48",
"57-48=9",
"8*9=72"
] | Current State: 72:[36, 8, 12, 57], Operations: []
Exploring Operation: 36+12=48, Resulting Numbers: [8, 57, 48]
Generated Node #2: [8, 57, 48] from Operation: 36+12=48
Current State: 72:[8, 57, 48], Operations: ['36+12=48']
Exploring Operation: 57-48=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 57-48=9
Current State: 72:[8, 9], Operations: ['36+12=48', '57-48=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[36, 8, 12, 57], Operations: []
Exploring Operation: 57-12=45, Resulting Numbers: [36, 8, 45]
Generated Node #0,0: 72:[36, 8, 45] Operation: 57-12=45
Exploring Operation: 8+57=65, Resulting Numbers: [36, 12, 65]
Generated Node #0,1: 72:[36, 12, 65] Operation: 8+57=65
Exploring Operation: 12+57=69, Resulting Numbers: [36, 8, 69]
Generated Node #0,2: 72:[36, 8, 69] Operation: 12+57=69
Exploring Operation: 57-36=21, Resulting Numbers: [8, 12, 21]
Generated Node #0,3: 72:[8, 12, 21] Operation: 57-36=21
Moving to Node #0,2
Current State: 72:[36, 8, 69], Operations: ['12+57=69']
Exploring Operation: 8+69=77, Resulting Numbers: [36, 77]
Generated Node #0,2,0: 72:[36, 77] Operation: 8+69=77
Exploring Operation: 69-36=33, Resulting Numbers: [8, 33]
Generated Node #0,2,1: 72:[8, 33] Operation: 69-36=33
Exploring Operation: 36-8=28, Resulting Numbers: [69, 28]
Generated Node #0,2,2: 72:[69, 28] Operation: 36-8=28
Exploring Operation: 36+8=44, Resulting Numbers: [69, 44]
Generated Node #0,2,3: 72:[69, 44] Operation: 36+8=44
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[8, 33], Operations: ['12+57=69', '69-36=33']
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,72 unequal: No Solution
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,72 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[36, 77], Operations: ['12+57=69', '8+69=77']
Exploring Operation: 36+77=113, Resulting Numbers: [113]
113,72 unequal: No Solution
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,72 unequal: No Solution
Exploring Operation: 36*77=2772, Resulting Numbers: [2772]
2772,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[69, 28], Operations: ['12+57=69', '36-8=28']
Exploring Operation: 69+28=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Exploring Operation: 69*28=1932, Resulting Numbers: [1932]
1932,72 unequal: No Solution
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 72:[69, 44], Operations: ['12+57=69', '36+8=44']
Exploring Operation: 69*44=3036, Resulting Numbers: [3036]
3036,72 unequal: No Solution
Exploring Operation: 69+44=113, Resulting Numbers: [113]
113,72 unequal: No Solution
Exploring Operation: 69-44=25, Resulting Numbers: [25]
25,72 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: 72:[8, 12, 21], Operations: ['57-36=21']
Exploring Operation: 12-8=4, Resulting Numbers: [21, 4]
Generated Node #0,3,0: 72:[21, 4] Operation: 12-8=4
Exploring Operation: 12+21=33, Resulting Numbers: [8, 33]
Generated Node #0,3,1: 72:[8, 33] Operation: 12+21=33
Exploring Operation: 21-8=13, Resulting Numbers: [12, 13]
Generated Node #0,3,2: 72:[12, 13] Operation: 21-8=13
Exploring Operation: 21-12=9, Resulting Numbers: [8, 9]
Generated Node #0,3,3: 72:[8, 9] Operation: 21-12=9
Moving to Node #0,1
Current State: 72:[36, 12, 65], Operations: ['8+57=65']
Exploring Operation: 36-12=24, Resulting Numbers: [65, 24]
Generated Node #0,1,0: 72:[65, 24] Operation: 36-12=24
Exploring Operation: 12+65=77, Resulting Numbers: [36, 77]
Generated Node #0,1,1: 72:[36, 77] Operation: 12+65=77
Exploring Operation: 36/12=3, Resulting Numbers: [65, 3]
Generated Node #0,1,2: 72:[65, 3] Operation: 36/12=3
Exploring Operation: 65-36=29, Resulting Numbers: [12, 29]
Generated Node #0,1,3: 72:[12, 29] Operation: 65-36=29
Moving to Node #0,0
Current State: 72:[36, 8, 45], Operations: ['57-12=45']
Exploring Operation: 36-8=28, Resulting Numbers: [45, 28]
Generated Node #0,0,0: 72:[45, 28] Operation: 36-8=28
Exploring Operation: 36+45=81, Resulting Numbers: [8, 81]
Generated Node #0,0,1: 72:[8, 81] Operation: 36+45=81
Exploring Operation: 45-8=37, Resulting Numbers: [36, 37]
Generated Node #0,0,2: 72:[36, 37] Operation: 45-8=37
Exploring Operation: 45-36=9, Resulting Numbers: [8, 9]
Generated Node #0,0,3: 72:[8, 9] Operation: 45-36=9
Moving to Node #0,3,3
Current State: 72:[8, 9], Operations: ['57-36=21', '21-12=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[36, 8, 12, 57], Operations: []
Exploring Operation: 57-36=21, Resulting Numbers: [8, 12, 21]
Generated Node #0,3: 72:[8, 12, 21] Operation: 57-36=21
Moving to Node #0,3
Current State: 72:[8, 12, 21], Operations: ['57-36=21']
Exploring Operation: 21-12=9, Resulting Numbers: [8, 9]
Generated Node #0,3,3: 72:[8, 9] Operation: 21-12=9
Moving to Node #0,3,3
Current State: 72:[8, 9], Operations: ['57-36=21', '21-12=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.967882 | hs_4 | mult_heuristic |
[
73,
39,
59,
78
] | 66 | [
"73+59=132",
"78/39=2",
"132/2=66"
] | Current State: 66:[73, 39, 59, 78], Operations: []
Exploring Operation: 73+59=132, Resulting Numbers: [39, 78, 132]
Generated Node #2: [39, 78, 132] from Operation: 73+59=132
Current State: 66:[39, 78, 132], Operations: ['73+59=132']
Exploring Operation: 78/39=2, Resulting Numbers: [132, 2]
Generated Node #3: [132, 2] from Operation: 78/39=2
Current State: 66:[132, 2], Operations: ['73+59=132', '78/39=2']
Exploring Operation: 132/2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[73, 39, 59, 78], Operations: []
Exploring Operation: 73-39=34, Resulting Numbers: [59, 78, 34]
Generated Node #0,0: 66:[59, 78, 34] Operation: 73-39=34
Exploring Operation: 78-59=19, Resulting Numbers: [73, 39, 19]
Generated Node #0,1: 66:[73, 39, 19] Operation: 78-59=19
Exploring Operation: 78-73=5, Resulting Numbers: [39, 59, 5]
Generated Node #0,2: 66:[39, 59, 5] Operation: 78-73=5
Exploring Operation: 78/39=2, Resulting Numbers: [73, 59, 2]
Generated Node #0,3: 66:[73, 59, 2] Operation: 78/39=2
Exploring Operation: 78-39=39, Resulting Numbers: [73, 59, 39]
Generated Node #0,4: 66:[73, 59, 39] Operation: 78-39=39
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[39, 59, 5], Operations: ['78-73=5']
Exploring Operation: 39-5=34, Resulting Numbers: [59, 34]
Generated Node #0,2,0: 66:[59, 34] Operation: 39-5=34
Exploring Operation: 39+5=44, Resulting Numbers: [59, 44]
Generated Node #0,2,1: 66:[59, 44] Operation: 39+5=44
Exploring Operation: 59-39=20, Resulting Numbers: [5, 20]
Generated Node #0,2,2: 66:[5, 20] Operation: 59-39=20
Exploring Operation: 59-5=54, Resulting Numbers: [39, 54]
Generated Node #0,2,3: 66:[39, 54] Operation: 59-5=54
Exploring Operation: 59+5=64, Resulting Numbers: [39, 64]
Generated Node #0,2,4: 66:[39, 64] Operation: 59+5=64
Moving to Node #0,2,2
Current State: 66:[5, 20], Operations: ['78-73=5', '59-39=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,66 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Moving to Node #0,2,4
Current State: 66:[39, 64], Operations: ['78-73=5', '59+5=64']
Exploring Operation: 64-39=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Exploring Operation: 39*64=2496, Resulting Numbers: [2496]
2496,66 unequal: No Solution
Exploring Operation: 39+64=103, Resulting Numbers: [103]
103,66 unequal: No Solution
Moving to Node #0,2,0
Current State: 66:[59, 34], Operations: ['78-73=5', '39-5=34']
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Exploring Operation: 59*34=2006, Resulting Numbers: [2006]
2006,66 unequal: No Solution
Moving to Node #0,2,1
Current State: 66:[59, 44], Operations: ['78-73=5', '39+5=44']
Exploring Operation: 59+44=103, Resulting Numbers: [103]
103,66 unequal: No Solution
Exploring Operation: 59*44=2596, Resulting Numbers: [2596]
2596,66 unequal: No Solution
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Moving to Node #0,2,3
Current State: 66:[39, 54], Operations: ['78-73=5', '59-5=54']
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 39+54=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 39*54=2106, Resulting Numbers: [2106]
2106,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 66:[73, 59, 2], Operations: ['78/39=2']
Exploring Operation: 59-2=57, Resulting Numbers: [73, 57]
Generated Node #0,3,0: 66:[73, 57] Operation: 59-2=57
Exploring Operation: 73-59=14, Resulting Numbers: [2, 14]
Generated Node #0,3,1: 66:[2, 14] Operation: 73-59=14
Exploring Operation: 73-2=71, Resulting Numbers: [59, 71]
Generated Node #0,3,2: 66:[59, 71] Operation: 73-2=71
Exploring Operation: 59+2=61, Resulting Numbers: [73, 61]
Generated Node #0,3,3: 66:[73, 61] Operation: 59+2=61
Exploring Operation: 73+2=75, Resulting Numbers: [59, 75]
Generated Node #0,3,4: 66:[59, 75] Operation: 73+2=75
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 66:[2, 14], Operations: ['78/39=2', '73-59=14']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,66 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 66:[59, 71], Operations: ['78/39=2', '73-2=71']
Exploring Operation: 59*71=4189, Resulting Numbers: [4189]
4189,66 unequal: No Solution
Exploring Operation: 59+71=130, Resulting Numbers: [130]
130,66 unequal: No Solution
Exploring Operation: 71-59=12, Resulting Numbers: [12]
12,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 66:[73, 61], Operations: ['78/39=2', '59+2=61']
Exploring Operation: 73-61=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 73+61=134, Resulting Numbers: [134]
134,66 unequal: No Solution
Exploring Operation: 73*61=4453, Resulting Numbers: [4453]
4453,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 66:[73, 57], Operations: ['78/39=2', '59-2=57']
Exploring Operation: 73*57=4161, Resulting Numbers: [4161]
4161,66 unequal: No Solution
Exploring Operation: 73-57=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 73+57=130, Resulting Numbers: [130]
130,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 66:[59, 75], Operations: ['78/39=2', '73+2=75']
Exploring Operation: 59+75=134, Resulting Numbers: [134]
134,66 unequal: No Solution
Exploring Operation: 75-59=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 59*75=4425, Resulting Numbers: [4425]
4425,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[73, 39, 19], Operations: ['78-59=19']
Exploring Operation: 39-19=20, Resulting Numbers: [73, 20]
Generated Node #0,1,0: 66:[73, 20] Operation: 39-19=20
Exploring Operation: 73+19=92, Resulting Numbers: [39, 92]
Generated Node #0,1,1: 66:[39, 92] Operation: 73+19=92
Exploring Operation: 73-39=34, Resulting Numbers: [19, 34]
Generated Node #0,1,2: 66:[19, 34] Operation: 73-39=34
Exploring Operation: 73-19=54, Resulting Numbers: [39, 54]
Generated Node #0,1,3: 66:[39, 54] Operation: 73-19=54
Exploring Operation: 39+19=58, Resulting Numbers: [73, 58]
Generated Node #0,1,4: 66:[73, 58] Operation: 39+19=58
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 66:[19, 34], Operations: ['78-59=19', '73-39=34']
Exploring Operation: 19*34=646, Resulting Numbers: [646]
646,66 unequal: No Solution
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 19+34=53, Resulting Numbers: [53]
53,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 66:[73, 20], Operations: ['78-59=19', '39-19=20']
Exploring Operation: 73*20=1460, Resulting Numbers: [1460]
1460,66 unequal: No Solution
Exploring Operation: 73+20=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 73-20=53, Resulting Numbers: [53]
53,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 66:[73, 58], Operations: ['78-59=19', '39+19=58']
Exploring Operation: 73-58=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 73*58=4234, Resulting Numbers: [4234]
4234,66 unequal: No Solution
Exploring Operation: 73+58=131, Resulting Numbers: [131]
131,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 66:[39, 54], Operations: ['78-59=19', '73-19=54']
Exploring Operation: 39+54=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 39*54=2106, Resulting Numbers: [2106]
2106,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 66:[39, 92], Operations: ['78-59=19', '73+19=92']
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Exploring Operation: 39+92=131, Resulting Numbers: [131]
131,66 unequal: No Solution
Exploring Operation: 39*92=3588, Resulting Numbers: [3588]
3588,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[59, 78, 34], Operations: ['73-39=34']
Exploring Operation: 78+34=112, Resulting Numbers: [59, 112]
Generated Node #0,0,0: 66:[59, 112] Operation: 78+34=112
Exploring Operation: 59+34=93, Resulting Numbers: [78, 93]
Generated Node #0,0,1: 66:[78, 93] Operation: 59+34=93
Exploring Operation: 78-59=19, Resulting Numbers: [34, 19]
Generated Node #0,0,2: 66:[34, 19] Operation: 78-59=19
Exploring Operation: 78-34=44, Resulting Numbers: [59, 44]
Generated Node #0,0,3: 66:[59, 44] Operation: 78-34=44
Exploring Operation: 59-34=25, Resulting Numbers: [78, 25]
Generated Node #0,0,4: 66:[78, 25] Operation: 59-34=25
Moving to Node #0,0,2
Current State: 66:[34, 19], Operations: ['73-39=34', '78-59=19']
Exploring Operation: 34*19=646, Resulting Numbers: [646]
646,66 unequal: No Solution
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Moving to Node #0,0,4
Current State: 66:[78, 25], Operations: ['73-39=34', '59-34=25']
Exploring Operation: 78+25=103, Resulting Numbers: [103]
103,66 unequal: No Solution
Exploring Operation: 78*25=1950, Resulting Numbers: [1950]
1950,66 unequal: No Solution
Exploring Operation: 78-25=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Moving to Node #0,0,3
Current State: 66:[59, 44], Operations: ['73-39=34', '78-34=44']
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 59+44=103, Resulting Numbers: [103]
103,66 unequal: No Solution
Exploring Operation: 59*44=2596, Resulting Numbers: [2596]
2596,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[78, 93], Operations: ['73-39=34', '59+34=93']
Exploring Operation: 93-78=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 78+93=171, Resulting Numbers: [171]
171,66 unequal: No Solution
Exploring Operation: 78*93=7254, Resulting Numbers: [7254]
7254,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[59, 112], Operations: ['73-39=34', '78+34=112']
Exploring Operation: 59+112=171, Resulting Numbers: [171]
171,66 unequal: No Solution
Exploring Operation: 59*112=6608, Resulting Numbers: [6608]
6608,66 unequal: No Solution
Exploring Operation: 112-59=53, Resulting Numbers: [53]
53,66 unequal: No Solution
No 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: 66:[73, 59, 39], Operations: ['78-39=39']
Exploring Operation: 73-39=34, Resulting Numbers: [59, 34]
Generated Node #0,4,0: 66:[59, 34] Operation: 73-39=34
Exploring Operation: 73+39=112, Resulting Numbers: [59, 112]
Generated Node #0,4,1: 66:[59, 112] Operation: 73+39=112
Exploring Operation: 59-39=20, Resulting Numbers: [73, 20]
Generated Node #0,4,2: 66:[73, 20] Operation: 59-39=20
Exploring Operation: 59+39=98, Resulting Numbers: [73, 98]
Generated Node #0,4,3: 66:[73, 98] Operation: 59+39=98
Exploring Operation: 73-59=14, Resulting Numbers: [39, 14]
Generated Node #0,4,4: 66:[39, 14] Operation: 73-59=14
Moving to Node #0,4,0
Current State: 66:[59, 34], Operations: ['78-39=39', '73-39=34']
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Exploring Operation: 59*34=2006, Resulting Numbers: [2006]
2006,66 unequal: No Solution
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Moving to Node #0,4,4
Current State: 66:[39, 14], Operations: ['78-39=39', '73-59=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,66 unequal: No Solution
Moving to Node #0,4,2
Current State: 66:[73, 20], Operations: ['78-39=39', '59-39=20']
Exploring Operation: 73+20=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 73-20=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Exploring Operation: 73*20=1460, Resulting Numbers: [1460]
1460,66 unequal: No Solution
Moving to Node #0,4,3
Current State: 66:[73, 98], Operations: ['78-39=39', '59+39=98']
Exploring Operation: 98-73=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Exploring Operation: 73+98=171, Resulting Numbers: [171]
171,66 unequal: No Solution
Exploring Operation: 73*98=7154, Resulting Numbers: [7154]
7154,66 unequal: No Solution
Moving to Node #0,4,1
Current State: 66:[59, 112], Operations: ['78-39=39', '73+39=112']
Exploring Operation: 59*112=6608, Resulting Numbers: [6608]
6608,66 unequal: No Solution
Exploring Operation: 112-59=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Exploring Operation: 59+112=171, Resulting Numbers: [171]
171,66 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 |
[
6,
32,
70,
28
] | 72 | [
"32-6=26",
"70+28=98",
"98-26=72"
] | Current State: 72:[6, 32, 70, 28], Operations: []
Exploring Operation: 32-6=26, Resulting Numbers: [70, 28, 26]
Generated Node #2: [70, 28, 26] from Operation: 32-6=26
Current State: 72:[70, 28, 26], Operations: ['32-6=26']
Exploring Operation: 70+28=98, Resulting Numbers: [26, 98]
Generated Node #3: [26, 98] from Operation: 70+28=98
Current State: 72:[26, 98], Operations: ['32-6=26', '70+28=98']
Exploring Operation: 98-26=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[6, 32, 70, 28], Operations: []
Exploring Operation: 6+32=38, Resulting Numbers: [70, 28, 38]
Generated Node #0,0: 72:[70, 28, 38] Operation: 6+32=38
Exploring Operation: 6+28=34, Resulting Numbers: [32, 70, 34]
Generated Node #0,1: 72:[32, 70, 34] Operation: 6+28=34
Exploring Operation: 70-32=38, Resulting Numbers: [6, 28, 38]
Generated Node #0,2: 72:[6, 28, 38] Operation: 70-32=38
Exploring Operation: 32-6=26, Resulting Numbers: [70, 28, 26]
Generated Node #0,3: 72:[70, 28, 26] Operation: 32-6=26
Exploring Operation: 32-28=4, Resulting Numbers: [6, 70, 4]
Generated Node #0,4: 72:[6, 70, 4] Operation: 32-28=4
Start Sub Search at level 1: Moving to Node #0,4
Current State: 72:[6, 70, 4], Operations: ['32-28=4']
Exploring Operation: 6+4=10, Resulting Numbers: [70, 10]
Generated Node #0,4,0: 72:[70, 10] Operation: 6+4=10
Exploring Operation: 6*4=24, Resulting Numbers: [70, 24]
Generated Node #0,4,1: 72:[70, 24] Operation: 6*4=24
Exploring Operation: 70+4=74, Resulting Numbers: [6, 74]
Generated Node #0,4,2: 72:[6, 74] Operation: 70+4=74
Exploring Operation: 6-4=2, Resulting Numbers: [70, 2]
Generated Node #0,4,3: 72:[70, 2] Operation: 6-4=2
Exploring Operation: 6+70=76, Resulting Numbers: [4, 76]
Generated Node #0,4,4: 72:[4, 76] Operation: 6+70=76
Moving to Node #0,4,1
Current State: 72:[70, 24], Operations: ['32-28=4', '6*4=24']
Exploring Operation: 70+24=94, Resulting Numbers: [94]
94,72 unequal: No Solution
Exploring Operation: 70-24=46, Resulting Numbers: [46]
46,72 unequal: No Solution
Exploring Operation: 70*24=1680, Resulting Numbers: [1680]
1680,72 unequal: No Solution
Moving to Node #0,4,3
Current State: 72:[70, 2], Operations: ['32-28=4', '6-4=2']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,72 unequal: No Solution
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,72 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[6, 32, 70, 28], Operations: []
Exploring Operation: 32-28=4, Resulting Numbers: [6, 70, 4]
Generated Node #0,4: 72:[6, 70, 4] Operation: 32-28=4
Moving to Node #0,4
Current State: 72:[6, 70, 4], Operations: ['32-28=4']
Exploring Operation: 6-4=2, Resulting Numbers: [70, 2]
Generated Node #0,4,3: 72:[70, 2] Operation: 6-4=2
Moving to Node #0,4,3
Current State: 72:[70, 2], Operations: ['32-28=4', '6-4=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
39,
40,
23,
31
] | 54 | [
"40-39=1",
"23+31=54",
"1*54=54"
] | Current State: 54:[39, 40, 23, 31], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [23, 31, 1]
Generated Node #2: [23, 31, 1] from Operation: 40-39=1
Current State: 54:[23, 31, 1], Operations: ['40-39=1']
Exploring Operation: 23+31=54, Resulting Numbers: [1, 54]
Generated Node #3: [1, 54] from Operation: 23+31=54
Current State: 54:[1, 54], Operations: ['40-39=1', '23+31=54']
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[39, 40, 23, 31], Operations: []
Exploring Operation: 39-31=8, Resulting Numbers: [40, 23, 8]
Generated Node #0,0: 54:[40, 23, 8] Operation: 39-31=8
Exploring Operation: 40-39=1, Resulting Numbers: [23, 31, 1]
Generated Node #0,1: 54:[23, 31, 1] Operation: 40-39=1
Exploring Operation: 40-31=9, Resulting Numbers: [39, 23, 9]
Generated Node #0,2: 54:[39, 23, 9] Operation: 40-31=9
Exploring Operation: 40-23=17, Resulting Numbers: [39, 31, 17]
Generated Node #0,3: 54:[39, 31, 17] Operation: 40-23=17
Moving to Node #0,1
Current State: 54:[23, 31, 1], Operations: ['40-39=1']
Exploring Operation: 23+1=24, Resulting Numbers: [31, 24]
Generated Node #0,1,0: 54:[31, 24] Operation: 23+1=24
Exploring Operation: 31-23=8, Resulting Numbers: [1, 8]
Generated Node #0,1,1: 54:[1, 8] Operation: 31-23=8
Exploring Operation: 31-1=30, Resulting Numbers: [23, 30]
Generated Node #0,1,2: 54:[23, 30] Operation: 31-1=30
Exploring Operation: 23+31=54, Resulting Numbers: [1, 54]
Generated Node #0,1,3: 54:[1, 54] Operation: 23+31=54
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 54:[1, 54], Operations: ['40-39=1', '23+31=54']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[39, 40, 23, 31], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [23, 31, 1]
Generated Node #0,1: 54:[23, 31, 1] Operation: 40-39=1
Moving to Node #0,1
Current State: 54:[23, 31, 1], Operations: ['40-39=1']
Exploring Operation: 23+31=54, Resulting Numbers: [1, 54]
Generated Node #0,1,3: 54:[1, 54] Operation: 23+31=54
Moving to Node #0,1,3
Current State: 54:[1, 54], Operations: ['40-39=1', '23+31=54']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
7,
39,
7,
42
] | 21 | [
"7*39=273",
"7*42=294",
"294-273=21"
] | Current State: 21:[7, 39, 7, 42], Operations: []
Exploring Operation: 7*39=273, Resulting Numbers: [42, 273]
Generated Node #2: [42, 273] from Operation: 7*39=273
Current State: 21:[42, 273], Operations: ['7*39=273']
Exploring Operation: 7*42=294, Resulting Numbers: [273, 294]
Generated Node #3: [273, 294] from Operation: 7*42=294
Current State: 21:[273, 294], Operations: ['7*39=273', '7*42=294']
Exploring Operation: 294-273=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[7, 39, 7, 42], Operations: []
Exploring Operation: 42/7=6, Resulting Numbers: [39, 7, 6]
Generated Node #0,0: 21:[39, 7, 6] Operation: 42/7=6
Exploring Operation: 42-39=3, Resulting Numbers: [7, 7, 3]
Generated Node #0,1: 21:[7, 7, 3] Operation: 42-39=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[7, 7, 3], Operations: ['42-39=3']
Exploring Operation: 7*3=21, Resulting Numbers: [7, 21]
Generated Node #0,1,0: 21:[7, 21] Operation: 7*3=21
Exploring Operation: 7*3=21, Resulting Numbers: [7, 21]
Generated Node #0,1,1: 21:[7, 21] Operation: 7*3=21
Moving to Node #0,1,0
Current State: 21:[7, 21], Operations: ['42-39=3', '7*3=21']
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Exploring Operation: 7+21=28, Resulting Numbers: [28]
28,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[7, 21], Operations: ['42-39=3', '7*3=21']
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Exploring Operation: 7+21=28, Resulting Numbers: [28]
28,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[39, 7, 6], Operations: ['42/7=6']
Exploring Operation: 39-7=32, Resulting Numbers: [6, 32]
Generated Node #0,0,0: 21:[6, 32] Operation: 39-7=32
Exploring Operation: 39-6=33, Resulting Numbers: [7, 33]
Generated Node #0,0,1: 21:[7, 33] Operation: 39-6=33
Moving to Node #0,0,0
Current State: 21:[6, 32], Operations: ['42/7=6', '39-7=32']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[7, 33], Operations: ['42/7=6', '39-6=33']
Exploring Operation: 7+33=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,21 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 |
[
65,
69,
65,
23
] | 84 | [
"69-65=4",
"65+23=88",
"88-4=84"
] | Current State: 84:[65, 69, 65, 23], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [23, 4]
Generated Node #2: [23, 4] from Operation: 69-65=4
Current State: 84:[23, 4], Operations: ['69-65=4']
Exploring Operation: 65+23=88, Resulting Numbers: [4, 88]
Generated Node #3: [4, 88] from Operation: 65+23=88
Current State: 84:[4, 88], Operations: ['69-65=4', '65+23=88']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[65, 69, 65, 23], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [65, 23, 4]
Generated Node #0,0: 84:[65, 23, 4] Operation: 69-65=4
Exploring Operation: 65-65=0, Resulting Numbers: [69, 23, 0]
Generated Node #0,1: 84:[69, 23, 0] Operation: 65-65=0
Exploring Operation: 65/65=1, Resulting Numbers: [69, 23, 1]
Generated Node #0,2: 84:[69, 23, 1] Operation: 65/65=1
Exploring Operation: 69-65=4, Resulting Numbers: [65, 23, 4]
Generated Node #0,3: 84:[65, 23, 4] Operation: 69-65=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[69, 23, 1], Operations: ['65/65=1']
Exploring Operation: 69-23=46, Resulting Numbers: [1, 46]
Generated Node #0,2,0: 84:[1, 46] Operation: 69-23=46
Exploring Operation: 69+1=70, Resulting Numbers: [23, 70]
Generated Node #0,2,1: 84:[23, 70] Operation: 69+1=70
Exploring Operation: 69/23=3, Resulting Numbers: [1, 3]
Generated Node #0,2,2: 84:[1, 3] Operation: 69/23=3
Exploring Operation: 69+23=92, Resulting Numbers: [1, 92]
Generated Node #0,2,3: 84:[1, 92] Operation: 69+23=92
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 84:[1, 3], Operations: ['65/65=1', '69/23=3']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 84:[1, 46], Operations: ['65/65=1', '69-23=46']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,84 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 1+46=47, Resulting Numbers: [47]
47,84 unequal: No Solution
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 84:[1, 92], Operations: ['65/65=1', '69+23=92']
Exploring Operation: 1+92=93, Resulting Numbers: [93]
93,84 unequal: No Solution
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,84 unequal: No Solution
Exploring Operation: 1*92=92, Resulting Numbers: [92]
92,84 unequal: No Solution
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 84:[23, 70], Operations: ['65/65=1', '69+1=70']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,84 unequal: No Solution
Exploring Operation: 23*70=1610, Resulting Numbers: [1610]
1610,84 unequal: No Solution
Exploring Operation: 23+70=93, Resulting Numbers: [93]
93,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[69, 23, 0], Operations: ['65-65=0']
Exploring Operation: 69+23=92, Resulting Numbers: [0, 92]
Generated Node #0,1,0: 84:[0, 92] Operation: 69+23=92
Exploring Operation: 69-23=46, Resulting Numbers: [0, 46]
Generated Node #0,1,1: 84:[0, 46] Operation: 69-23=46
Exploring Operation: 69*0=0, Resulting Numbers: [23, 0]
Generated Node #0,1,2: 84:[23, 0] Operation: 69*0=0
Exploring Operation: 69/23=3, Resulting Numbers: [0, 3]
Generated Node #0,1,3: 84:[0, 3] Operation: 69/23=3
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 84:[0, 3], Operations: ['65-65=0', '69/23=3']
Exploring Operation: 0+3=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 0*3=0, Resulting Numbers: [0]
0,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 84:[23, 0], Operations: ['65-65=0', '69*0=0']
Exploring Operation: 23*0=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,84 unequal: No Solution
Exploring Operation: 23-0=23, Resulting Numbers: [23]
23,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 84:[0, 46], Operations: ['65-65=0', '69-23=46']
Exploring Operation: 0*46=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 0+46=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 46-0=46, Resulting Numbers: [46]
46,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 84:[0, 92], Operations: ['65-65=0', '69+23=92']
Exploring Operation: 0+92=92, Resulting Numbers: [92]
92,84 unequal: No Solution
Exploring Operation: 0*92=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 92-0=92, Resulting Numbers: [92]
92,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[65, 23, 4], Operations: ['69-65=4']
Exploring Operation: 65+4=69, Resulting Numbers: [23, 69]
Generated Node #0,0,0: 84:[23, 69] Operation: 65+4=69
Exploring Operation: 23+4=27, Resulting Numbers: [65, 27]
Generated Node #0,0,1: 84:[65, 27] Operation: 23+4=27
Exploring Operation: 65+23=88, Resulting Numbers: [4, 88]
Generated Node #0,0,2: 84:[4, 88] Operation: 65+23=88
Exploring Operation: 65-23=42, Resulting Numbers: [4, 42]
Generated Node #0,0,3: 84:[4, 42] Operation: 65-23=42
Moving to Node #0,0,3
Current State: 84:[4, 42], Operations: ['69-65=4', '65-23=42']
Exploring Operation: 4*42=168, Resulting Numbers: [168]
168,84 unequal: No Solution
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[4, 88], Operations: ['69-65=4', '65+23=88']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,84 unequal: No Solution
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,84 unequal: No Solution
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[65, 69, 65, 23], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [65, 23, 4]
Generated Node #0,0: 84:[65, 23, 4] Operation: 69-65=4
Moving to Node #0,0
Current State: 84:[65, 23, 4], Operations: ['69-65=4']
Exploring Operation: 65+23=88, Resulting Numbers: [4, 88]
Generated Node #0,0,2: 84:[4, 88] Operation: 65+23=88
Moving to Node #0,0,2
Current State: 84:[4, 88], Operations: ['69-65=4', '65+23=88']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.953993 | hs_4 | mult_heuristic |
[
49,
32,
8,
74
] | 100 | [
"74-49=25",
"32/8=4",
"25*4=100"
] | Current State: 100:[49, 32, 8, 74], Operations: []
Exploring Operation: 74-49=25, Resulting Numbers: [32, 8, 25]
Generated Node #2: [32, 8, 25] from Operation: 74-49=25
Current State: 100:[32, 8, 25], Operations: ['74-49=25']
Exploring Operation: 32/8=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 32/8=4
Current State: 100:[25, 4], Operations: ['74-49=25', '32/8=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[49, 32, 8, 74], Operations: []
Exploring Operation: 32+74=106, Resulting Numbers: [49, 8, 106]
Generated Node #0,0: 100:[49, 8, 106] Operation: 32+74=106
Exploring Operation: 74-49=25, Resulting Numbers: [32, 8, 25]
Generated Node #0,1: 100:[32, 8, 25] Operation: 74-49=25
Moving to Node #0,0
Current State: 100:[49, 8, 106], Operations: ['32+74=106']
Exploring Operation: 106-49=57, Resulting Numbers: [8, 57]
Generated Node #0,0,0: 100:[8, 57] Operation: 106-49=57
Exploring Operation: 106-8=98, Resulting Numbers: [49, 98]
Generated Node #0,0,1: 100:[49, 98] Operation: 106-8=98
Moving to Node #0,1
Current State: 100:[32, 8, 25], Operations: ['74-49=25']
Exploring Operation: 32/8=4, Resulting Numbers: [25, 4]
Generated Node #0,1,0: 100:[25, 4] Operation: 32/8=4
Exploring Operation: 32-8=24, Resulting Numbers: [25, 24]
Generated Node #0,1,1: 100:[25, 24] Operation: 32-8=24
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[25, 4], Operations: ['74-49=25', '32/8=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[49, 32, 8, 74], Operations: []
Exploring Operation: 74-49=25, Resulting Numbers: [32, 8, 25]
Generated Node #0,1: 100:[32, 8, 25] Operation: 74-49=25
Moving to Node #0,1
Current State: 100:[32, 8, 25], Operations: ['74-49=25']
Exploring Operation: 32/8=4, Resulting Numbers: [25, 4]
Generated Node #0,1,0: 100:[25, 4] Operation: 32/8=4
Moving to Node #0,1,0
Current State: 100:[25, 4], Operations: ['74-49=25', '32/8=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
9,
37,
34,
9
] | 21 | [
"9+37=46",
"34-9=25",
"46-25=21"
] | Current State: 21:[9, 37, 34, 9], Operations: []
Exploring Operation: 9+37=46, Resulting Numbers: [34, 46]
Generated Node #2: [34, 46] from Operation: 9+37=46
Current State: 21:[34, 46], Operations: ['9+37=46']
Exploring Operation: 34-9=25, Resulting Numbers: [46, 25]
Generated Node #3: [46, 25] from Operation: 34-9=25
Current State: 21:[46, 25], Operations: ['9+37=46', '34-9=25']
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[9, 37, 34, 9], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [9, 9, 3]
Generated Node #0,0: 21:[9, 9, 3] Operation: 37-34=3
Moving to Node #0,0
Current State: 21:[9, 9, 3], Operations: ['37-34=3']
Exploring Operation: 9/9=1, Resulting Numbers: [3, 1]
Generated Node #0,0,0: 21:[3, 1] Operation: 9/9=1
Moving to Node #0,0,0
Current State: 21:[3, 1], Operations: ['37-34=3', '9/9=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,21 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
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