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 |
|---|---|---|---|---|---|---|---|---|
[
68,
2,
60,
5
] | 50 | [
"68+2=70",
"70-60=10",
"5*10=50"
] | Current State: 50:[68, 2, 60, 5], Operations: []
Exploring Operation: 68+2=70, Resulting Numbers: [60, 5, 70]
Generated Node #2: [60, 5, 70] from Operation: 68+2=70
Current State: 50:[60, 5, 70], Operations: ['68+2=70']
Exploring Operation: 70-60=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 70-60=10
Current State: 50:[5, 10], Operations: ['68+2=70', '70-60=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[68, 2, 60, 5], Operations: []
Exploring Operation: 60/2=30, Resulting Numbers: [68, 5, 30]
Generated Node #0,0: 50:[68, 5, 30] Operation: 60/2=30
Exploring Operation: 68-60=8, Resulting Numbers: [2, 5, 8]
Generated Node #0,1: 50:[2, 5, 8] Operation: 68-60=8
Exploring Operation: 60/5=12, Resulting Numbers: [68, 2, 12]
Generated Node #0,2: 50:[68, 2, 12] Operation: 60/5=12
Exploring Operation: 68-5=63, Resulting Numbers: [2, 60, 63]
Generated Node #0,3: 50:[2, 60, 63] Operation: 68-5=63
Exploring Operation: 68/2=34, Resulting Numbers: [60, 5, 34]
Generated Node #0,4: 50:[60, 5, 34] Operation: 68/2=34
Moving to Node #0,1
Current State: 50:[2, 5, 8], Operations: ['68-60=8']
Exploring Operation: 8-5=3, Resulting Numbers: [2, 3]
Generated Node #0,1,0: 50:[2, 3] Operation: 8-5=3
Exploring Operation: 2+8=10, Resulting Numbers: [5, 10]
Generated Node #0,1,1: 50:[5, 10] Operation: 2+8=10
Exploring Operation: 2*5=10, Resulting Numbers: [8, 10]
Generated Node #0,1,2: 50:[8, 10] Operation: 2*5=10
Exploring Operation: 8-2=6, Resulting Numbers: [5, 6]
Generated Node #0,1,3: 50:[5, 6] Operation: 8-2=6
Exploring Operation: 8/2=4, Resulting Numbers: [5, 4]
Generated Node #0,1,4: 50:[5, 4] Operation: 8/2=4
Moving to Node #0,4
Current State: 50:[60, 5, 34], Operations: ['68/2=34']
Exploring Operation: 5+34=39, Resulting Numbers: [60, 39]
Generated Node #0,4,0: 50:[60, 39] Operation: 5+34=39
Exploring Operation: 60-34=26, Resulting Numbers: [5, 26]
Generated Node #0,4,1: 50:[5, 26] Operation: 60-34=26
Exploring Operation: 34-5=29, Resulting Numbers: [60, 29]
Generated Node #0,4,2: 50:[60, 29] Operation: 34-5=29
Exploring Operation: 60/5=12, Resulting Numbers: [34, 12]
Generated Node #0,4,3: 50:[34, 12] Operation: 60/5=12
Exploring Operation: 60-5=55, Resulting Numbers: [34, 55]
Generated Node #0,4,4: 50:[34, 55] Operation: 60-5=55
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 50:[5, 26], Operations: ['68/2=34', '60-34=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 50:[34, 12], Operations: ['68/2=34', '60/5=12']
Exploring Operation: 34*12=408, Resulting Numbers: [408]
408,50 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 50:[60, 29], Operations: ['68/2=34', '34-5=29']
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,50 unequal: No Solution
Exploring Operation: 60*29=1740, Resulting Numbers: [1740]
1740,50 unequal: No Solution
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 50:[34, 55], Operations: ['68/2=34', '60-5=55']
Exploring Operation: 34*55=1870, Resulting Numbers: [1870]
1870,50 unequal: No Solution
Exploring Operation: 55-34=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 34+55=89, Resulting Numbers: [89]
89,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 50:[60, 39], Operations: ['68/2=34', '5+34=39']
Exploring Operation: 60-39=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 60+39=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Exploring Operation: 60*39=2340, Resulting Numbers: [2340]
2340,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 50:[68, 2, 12], Operations: ['60/5=12']
Exploring Operation: 2*12=24, Resulting Numbers: [68, 24]
Generated Node #0,2,0: 50:[68, 24] Operation: 2*12=24
Exploring Operation: 12-2=10, Resulting Numbers: [68, 10]
Generated Node #0,2,1: 50:[68, 10] Operation: 12-2=10
Exploring Operation: 68-2=66, Resulting Numbers: [12, 66]
Generated Node #0,2,2: 50:[12, 66] Operation: 68-2=66
Exploring Operation: 68-12=56, Resulting Numbers: [2, 56]
Generated Node #0,2,3: 50:[2, 56] Operation: 68-12=56
Exploring Operation: 68/2=34, Resulting Numbers: [12, 34]
Generated Node #0,2,4: 50:[12, 34] Operation: 68/2=34
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 50:[2, 56], Operations: ['60/5=12', '68-12=56']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,50 unequal: No Solution
Exploring Operation: 2*56=112, Resulting Numbers: [112]
112,50 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 50:[12, 34], Operations: ['60/5=12', '68/2=34']
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 12*34=408, Resulting Numbers: [408]
408,50 unequal: No Solution
Exploring Operation: 12+34=46, Resulting Numbers: [46]
46,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[68, 10], Operations: ['60/5=12', '12-2=10']
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,50 unequal: No Solution
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,50 unequal: No Solution
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 50:[12, 66], Operations: ['60/5=12', '68-2=66']
Exploring Operation: 66-12=54, Resulting Numbers: [54]
54,50 unequal: No Solution
Exploring Operation: 12+66=78, Resulting Numbers: [78]
78,50 unequal: No Solution
Exploring Operation: 12*66=792, Resulting Numbers: [792]
792,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 50:[68, 24], Operations: ['60/5=12', '2*12=24']
Exploring Operation: 68+24=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 68*24=1632, Resulting Numbers: [1632]
1632,50 unequal: No Solution
Exploring Operation: 68-24=44, Resulting Numbers: [44]
44,50 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: 50:[68, 5, 30], Operations: ['60/2=30']
Exploring Operation: 68-30=38, Resulting Numbers: [5, 38]
Generated Node #0,0,0: 50:[5, 38] Operation: 68-30=38
Exploring Operation: 68-5=63, Resulting Numbers: [30, 63]
Generated Node #0,0,1: 50:[30, 63] Operation: 68-5=63
Exploring Operation: 30-5=25, Resulting Numbers: [68, 25]
Generated Node #0,0,2: 50:[68, 25] Operation: 30-5=25
Exploring Operation: 68+5=73, Resulting Numbers: [30, 73]
Generated Node #0,0,3: 50:[30, 73] Operation: 68+5=73
Exploring Operation: 30/5=6, Resulting Numbers: [68, 6]
Generated Node #0,0,4: 50:[68, 6] Operation: 30/5=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[5, 38], Operations: ['60/2=30', '68-30=38']
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,50 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,50 unequal: No Solution
Exploring Operation: 5*38=190, Resulting Numbers: [190]
190,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[30, 63], Operations: ['60/2=30', '68-5=63']
Exploring Operation: 30+63=93, Resulting Numbers: [93]
93,50 unequal: No Solution
Exploring Operation: 30*63=1890, Resulting Numbers: [1890]
1890,50 unequal: No Solution
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 50:[68, 25], Operations: ['60/2=30', '30-5=25']
Exploring Operation: 68*25=1700, Resulting Numbers: [1700]
1700,50 unequal: No Solution
Exploring Operation: 68+25=93, Resulting Numbers: [93]
93,50 unequal: No Solution
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 50:[68, 6], Operations: ['60/2=30', '30/5=6']
Exploring Operation: 68*6=408, Resulting Numbers: [408]
408,50 unequal: No Solution
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,50 unequal: No Solution
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 50:[30, 73], Operations: ['60/2=30', '68+5=73']
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,50 unequal: No Solution
Exploring Operation: 30*73=2190, Resulting Numbers: [2190]
2190,50 unequal: No Solution
Exploring Operation: 30+73=103, Resulting Numbers: [103]
103,50 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: 50:[2, 60, 63], Operations: ['68-5=63']
Exploring Operation: 60/2=30, Resulting Numbers: [63, 30]
Generated Node #0,3,0: 50:[63, 30] Operation: 60/2=30
Exploring Operation: 63-60=3, Resulting Numbers: [2, 3]
Generated Node #0,3,1: 50:[2, 3] Operation: 63-60=3
Exploring Operation: 60-2=58, Resulting Numbers: [63, 58]
Generated Node #0,3,2: 50:[63, 58] Operation: 60-2=58
Exploring Operation: 63-2=61, Resulting Numbers: [60, 61]
Generated Node #0,3,3: 50:[60, 61] Operation: 63-2=61
Exploring Operation: 2+60=62, Resulting Numbers: [63, 62]
Generated Node #0,3,4: 50:[63, 62] Operation: 2+60=62
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 50:[2, 3], Operations: ['68-5=63', '63-60=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,50 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 50:[63, 30], Operations: ['68-5=63', '60/2=30']
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,50 unequal: No Solution
Exploring Operation: 63+30=93, Resulting Numbers: [93]
93,50 unequal: No Solution
Exploring Operation: 63*30=1890, Resulting Numbers: [1890]
1890,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 50:[63, 58], Operations: ['68-5=63', '60-2=58']
Exploring Operation: 63-58=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 63+58=121, Resulting Numbers: [121]
121,50 unequal: No Solution
Exploring Operation: 63*58=3654, Resulting Numbers: [3654]
3654,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 50:[60, 61], Operations: ['68-5=63', '63-2=61']
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 60+61=121, Resulting Numbers: [121]
121,50 unequal: No Solution
Exploring Operation: 60*61=3660, Resulting Numbers: [3660]
3660,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 50:[63, 62], Operations: ['68-5=63', '2+60=62']
Exploring Operation: 63+62=125, Resulting Numbers: [125]
125,50 unequal: No Solution
Exploring Operation: 63-62=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 63*62=3906, Resulting Numbers: [3906]
3906,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 50:[5, 10], Operations: ['68-60=8', '2+8=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[68, 2, 60, 5], Operations: []
Exploring Operation: 68-60=8, Resulting Numbers: [2, 5, 8]
Generated Node #0,1: 50:[2, 5, 8] Operation: 68-60=8
Moving to Node #0,1
Current State: 50:[2, 5, 8], Operations: ['68-60=8']
Exploring Operation: 2+8=10, Resulting Numbers: [5, 10]
Generated Node #0,1,1: 50:[5, 10] Operation: 2+8=10
Moving to Node #0,1,1
Current State: 50:[5, 10], Operations: ['68-60=8', '2+8=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 0.916667 | hs_5 | sum_heuristic |
[
5,
18,
46,
49
] | 30 | [
"5*18=90",
"49-46=3",
"90/3=30"
] | Current State: 30:[5, 18, 46, 49], Operations: []
Exploring Operation: 5*18=90, Resulting Numbers: [46, 49, 90]
Generated Node #2: [46, 49, 90] from Operation: 5*18=90
Current State: 30:[46, 49, 90], Operations: ['5*18=90']
Exploring Operation: 49-46=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 49-46=3
Current State: 30:[90, 3], Operations: ['5*18=90', '49-46=3']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[5, 18, 46, 49], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [5, 18, 3]
Generated Node #0,0: 30:[5, 18, 3] Operation: 49-46=3
Moving to Node #0,0
Current State: 30:[5, 18, 3], Operations: ['49-46=3']
Exploring Operation: 18-3=15, Resulting Numbers: [5, 15]
Generated Node #0,0,0: 30:[5, 15] Operation: 18-3=15
Moving to Node #0,0,0
Current State: 30:[5, 15], Operations: ['49-46=3', '18-3=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,30 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
9,
56,
48,
86
] | 87 | [
"56-9=47",
"48+86=134",
"134-47=87"
] | Current State: 87:[9, 56, 48, 86], Operations: []
Exploring Operation: 56-9=47, Resulting Numbers: [48, 86, 47]
Generated Node #2: [48, 86, 47] from Operation: 56-9=47
Current State: 87:[48, 86, 47], Operations: ['56-9=47']
Exploring Operation: 48+86=134, Resulting Numbers: [47, 134]
Generated Node #3: [47, 134] from Operation: 48+86=134
Current State: 87:[47, 134], Operations: ['56-9=47', '48+86=134']
Exploring Operation: 134-47=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[9, 56, 48, 86], Operations: []
Exploring Operation: 56+48=104, Resulting Numbers: [9, 86, 104]
Generated Node #0,0: 87:[9, 86, 104] Operation: 56+48=104
Exploring Operation: 86-56=30, Resulting Numbers: [9, 48, 30]
Generated Node #0,1: 87:[9, 48, 30] Operation: 86-56=30
Exploring Operation: 56-48=8, Resulting Numbers: [9, 86, 8]
Generated Node #0,2: 87:[9, 86, 8] Operation: 56-48=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[9, 86, 8], Operations: ['56-48=8']
Exploring Operation: 9-8=1, Resulting Numbers: [86, 1]
Generated Node #0,2,0: 87:[86, 1] Operation: 9-8=1
Exploring Operation: 9+8=17, Resulting Numbers: [86, 17]
Generated Node #0,2,1: 87:[86, 17] Operation: 9+8=17
Exploring Operation: 9+86=95, Resulting Numbers: [8, 95]
Generated Node #0,2,2: 87:[8, 95] Operation: 9+86=95
Moving to Node #0,2,0
Current State: 87:[86, 1], Operations: ['56-48=8', '9-8=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,87 unequal: No Solution
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[9, 56, 48, 86], Operations: []
Exploring Operation: 56-48=8, Resulting Numbers: [9, 86, 8]
Generated Node #0,2: 87:[9, 86, 8] Operation: 56-48=8
Moving to Node #0,2
Current State: 87:[9, 86, 8], Operations: ['56-48=8']
Exploring Operation: 9-8=1, Resulting Numbers: [86, 1]
Generated Node #0,2,0: 87:[86, 1] Operation: 9-8=1
Moving to Node #0,2,0
Current State: 87:[86, 1], Operations: ['56-48=8', '9-8=1']
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
67,
28,
81,
46
] | 74 | [
"67-28=39",
"81-46=35",
"39+35=74"
] | Current State: 74:[67, 28, 81, 46], Operations: []
Exploring Operation: 67-28=39, Resulting Numbers: [81, 46, 39]
Generated Node #2: [81, 46, 39] from Operation: 67-28=39
Current State: 74:[81, 46, 39], Operations: ['67-28=39']
Exploring Operation: 81-46=35, Resulting Numbers: [39, 35]
Generated Node #3: [39, 35] from Operation: 81-46=35
Current State: 74:[39, 35], Operations: ['67-28=39', '81-46=35']
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[67, 28, 81, 46], Operations: []
Exploring Operation: 46-28=18, Resulting Numbers: [67, 81, 18]
Generated Node #0,0: 74:[67, 81, 18] Operation: 46-28=18
Exploring Operation: 81-67=14, Resulting Numbers: [28, 46, 14]
Generated Node #0,1: 74:[28, 46, 14] Operation: 81-67=14
Exploring Operation: 81-46=35, Resulting Numbers: [67, 28, 35]
Generated Node #0,2: 74:[67, 28, 35] Operation: 81-46=35
Exploring Operation: 28+46=74, Resulting Numbers: [67, 81, 74]
Generated Node #0,3: 74:[67, 81, 74] Operation: 28+46=74
Exploring Operation: 67-28=39, Resulting Numbers: [81, 46, 39]
Generated Node #0,4: 74:[81, 46, 39] Operation: 67-28=39
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[67, 81, 74], Operations: ['28+46=74']
Exploring Operation: 81-67=14, Resulting Numbers: [74, 14]
Generated Node #0,3,0: 74:[74, 14] Operation: 81-67=14
Exploring Operation: 81-74=7, Resulting Numbers: [67, 7]
Generated Node #0,3,1: 74:[67, 7] Operation: 81-74=7
Exploring Operation: 67+74=141, Resulting Numbers: [81, 141]
Generated Node #0,3,2: 74:[81, 141] Operation: 67+74=141
Exploring Operation: 74-67=7, Resulting Numbers: [81, 7]
Generated Node #0,3,3: 74:[81, 7] Operation: 74-67=7
Exploring Operation: 67+81=148, Resulting Numbers: [74, 148]
Generated Node #0,3,4: 74:[74, 148] Operation: 67+81=148
Moving to Node #0,3,0
Current State: 74:[74, 14], Operations: ['28+46=74', '81-67=14']
Exploring Operation: 74*14=1036, Resulting Numbers: [1036]
1036,74 unequal: No Solution
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,74 unequal: No Solution
Exploring Operation: 74+14=88, Resulting Numbers: [88]
88,74 unequal: No Solution
Moving to Node #0,3,3
Current State: 74:[81, 7], Operations: ['28+46=74', '74-67=7']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[67, 28, 81, 46], Operations: []
Exploring Operation: 28+46=74, Resulting Numbers: [67, 81, 74]
Generated Node #0,3: 74:[67, 81, 74] Operation: 28+46=74
Moving to Node #0,3
Current State: 74:[67, 81, 74], Operations: ['28+46=74']
Exploring Operation: 74-67=7, Resulting Numbers: [81, 7]
Generated Node #0,3,3: 74:[81, 7] Operation: 74-67=7
Moving to Node #0,3,3
Current State: 74:[81, 7], Operations: ['28+46=74', '74-67=7']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
83,
7,
98,
93
] | 24 | [
"93-83=10",
"98/7=14",
"10+14=24"
] | Current State: 24:[83, 7, 98, 93], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [7, 98, 10]
Generated Node #2: [7, 98, 10] from Operation: 93-83=10
Current State: 24:[7, 98, 10], Operations: ['93-83=10']
Exploring Operation: 98/7=14, Resulting Numbers: [10, 14]
Generated Node #3: [10, 14] from Operation: 98/7=14
Current State: 24:[10, 14], Operations: ['93-83=10', '98/7=14']
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[83, 7, 98, 93], Operations: []
Exploring Operation: 98-83=15, Resulting Numbers: [7, 93, 15]
Generated Node #0,0: 24:[7, 93, 15] Operation: 98-83=15
Exploring Operation: 98-93=5, Resulting Numbers: [83, 7, 5]
Generated Node #0,1: 24:[83, 7, 5] Operation: 98-93=5
Moving to Node #0,1
Current State: 24:[83, 7, 5], Operations: ['98-93=5']
Exploring Operation: 83-5=78, Resulting Numbers: [7, 78]
Generated Node #0,1,0: 24:[7, 78] Operation: 83-5=78
Exploring Operation: 83-7=76, Resulting Numbers: [5, 76]
Generated Node #0,1,1: 24:[5, 76] Operation: 83-7=76
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[5, 76], Operations: ['98-93=5', '83-7=76']
Exploring Operation: 5+76=81, Resulting Numbers: [81]
81,24 unequal: No Solution
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[7, 78], Operations: ['98-93=5', '83-5=78']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Exploring Operation: 7+78=85, Resulting Numbers: [85]
85,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 24:[7, 93, 15], Operations: ['98-83=15']
Exploring Operation: 93-7=86, Resulting Numbers: [15, 86]
Generated Node #0,0,0: 24:[15, 86] Operation: 93-7=86
Exploring Operation: 93-15=78, Resulting Numbers: [7, 78]
Generated Node #0,0,1: 24:[7, 78] Operation: 93-15=78
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 24:[7, 78], Operations: ['98-83=15', '93-15=78']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Exploring Operation: 7+78=85, Resulting Numbers: [85]
85,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[15, 86], Operations: ['98-83=15', '93-7=86']
Exploring Operation: 86-15=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Exploring Operation: 15+86=101, Resulting Numbers: [101]
101,24 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 |
[
46,
77,
1,
62
] | 30 | [
"77-46=31",
"62-1=61",
"61-31=30"
] | Current State: 30:[46, 77, 1, 62], Operations: []
Exploring Operation: 77-46=31, Resulting Numbers: [1, 62, 31]
Generated Node #2: [1, 62, 31] from Operation: 77-46=31
Current State: 30:[1, 62, 31], Operations: ['77-46=31']
Exploring Operation: 62-1=61, Resulting Numbers: [31, 61]
Generated Node #3: [31, 61] from Operation: 62-1=61
Current State: 30:[31, 61], Operations: ['77-46=31', '62-1=61']
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[46, 77, 1, 62], Operations: []
Exploring Operation: 77-62=15, Resulting Numbers: [46, 1, 15]
Generated Node #0,0: 30:[46, 1, 15] Operation: 77-62=15
Moving to Node #0,0
Current State: 30:[46, 1, 15], Operations: ['77-62=15']
Exploring Operation: 46-15=31, Resulting Numbers: [1, 31]
Generated Node #0,0,0: 30:[1, 31] Operation: 46-15=31
Moving to Node #0,0,0
Current State: 30:[1, 31], Operations: ['77-62=15', '46-15=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[46, 77, 1, 62], Operations: []
Exploring Operation: 77-62=15, Resulting Numbers: [46, 1, 15]
Generated Node #0,0: 30:[46, 1, 15] Operation: 77-62=15
Moving to Node #0,0
Current State: 30:[46, 1, 15], Operations: ['77-62=15']
Exploring Operation: 46-15=31, Resulting Numbers: [1, 31]
Generated Node #0,0,0: 30:[1, 31] Operation: 46-15=31
Moving to Node #0,0,0
Current State: 30:[1, 31], Operations: ['77-62=15', '46-15=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
34,
69,
33,
35
] | 34 | [
"69-34=35",
"35/35=1",
"33+1=34"
] | Current State: 34:[34, 69, 33, 35], Operations: []
Exploring Operation: 69-34=35, Resulting Numbers: [33, 35, 35]
Generated Node #2: [33, 35, 35] from Operation: 69-34=35
Current State: 34:[33, 35, 35], Operations: ['69-34=35']
Exploring Operation: 35/35=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 35/35=1
Current State: 34:[33, 1], Operations: ['69-34=35', '35/35=1']
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[34, 69, 33, 35], Operations: []
Exploring Operation: 69-34=35, Resulting Numbers: [33, 35, 35]
Generated Node #0,0: 34:[33, 35, 35] Operation: 69-34=35
Exploring Operation: 69-35=34, Resulting Numbers: [34, 33, 34]
Generated Node #0,1: 34:[34, 33, 34] Operation: 69-35=34
Moving to Node #0,1
Current State: 34:[34, 33, 34], Operations: ['69-35=34']
Exploring Operation: 34-33=1, Resulting Numbers: [34, 1]
Generated Node #0,1,0: 34:[34, 1] Operation: 34-33=1
Exploring Operation: 34-33=1, Resulting Numbers: [34, 1]
Generated Node #0,1,1: 34:[34, 1] Operation: 34-33=1
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[34, 1], Operations: ['69-35=34', '34-33=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[34, 69, 33, 35], Operations: []
Exploring Operation: 69-35=34, Resulting Numbers: [34, 33, 34]
Generated Node #0,1: 34:[34, 33, 34] Operation: 69-35=34
Moving to Node #0,1
Current State: 34:[34, 33, 34], Operations: ['69-35=34']
Exploring Operation: 34-33=1, Resulting Numbers: [34, 1]
Generated Node #0,1,0: 34:[34, 1] Operation: 34-33=1
Moving to Node #0,1,0
Current State: 34:[34, 1], Operations: ['69-35=34', '34-33=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
67,
43,
78,
49
] | 53 | [
"67-43=24",
"78-49=29",
"24+29=53"
] | Current State: 53:[67, 43, 78, 49], Operations: []
Exploring Operation: 67-43=24, Resulting Numbers: [78, 49, 24]
Generated Node #2: [78, 49, 24] from Operation: 67-43=24
Current State: 53:[78, 49, 24], Operations: ['67-43=24']
Exploring Operation: 78-49=29, Resulting Numbers: [24, 29]
Generated Node #3: [24, 29] from Operation: 78-49=29
Current State: 53:[24, 29], Operations: ['67-43=24', '78-49=29']
Exploring Operation: 24+29=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[67, 43, 78, 49], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [67, 49, 35]
Generated Node #0,0: 53:[67, 49, 35] Operation: 78-43=35
Exploring Operation: 78-49=29, Resulting Numbers: [67, 43, 29]
Generated Node #0,1: 53:[67, 43, 29] Operation: 78-49=29
Exploring Operation: 78-67=11, Resulting Numbers: [43, 49, 11]
Generated Node #0,2: 53:[43, 49, 11] Operation: 78-67=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[67, 49, 35], Operations: ['78-43=35']
Exploring Operation: 67-35=32, Resulting Numbers: [49, 32]
Generated Node #0,0,0: 53:[49, 32] Operation: 67-35=32
Exploring Operation: 49+35=84, Resulting Numbers: [67, 84]
Generated Node #0,0,1: 53:[67, 84] Operation: 49+35=84
Exploring Operation: 67-49=18, Resulting Numbers: [35, 18]
Generated Node #0,0,2: 53:[35, 18] Operation: 67-49=18
Moving to Node #0,0,0
Current State: 53:[49, 32], Operations: ['78-43=35', '67-35=32']
Exploring Operation: 49*32=1568, Resulting Numbers: [1568]
1568,53 unequal: No Solution
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[67, 84], Operations: ['78-43=35', '49+35=84']
Exploring Operation: 67*84=5628, Resulting Numbers: [5628]
5628,53 unequal: No Solution
Exploring Operation: 67+84=151, Resulting Numbers: [151]
151,53 unequal: No Solution
Exploring Operation: 84-67=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[35, 18], Operations: ['78-43=35', '67-49=18']
Exploring Operation: 35+18=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[67, 43, 78, 49], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [67, 49, 35]
Generated Node #0,0: 53:[67, 49, 35] Operation: 78-43=35
Moving to Node #0,0
Current State: 53:[67, 49, 35], Operations: ['78-43=35']
Exploring Operation: 67-49=18, Resulting Numbers: [35, 18]
Generated Node #0,0,2: 53:[35, 18] Operation: 67-49=18
Moving to Node #0,0,2
Current State: 53:[35, 18], Operations: ['78-43=35', '67-49=18']
Exploring Operation: 35+18=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
84,
83,
2,
6
] | 95 | [
"84/6=14",
"83-2=81",
"14+81=95"
] | Current State: 95:[84, 83, 2, 6], Operations: []
Exploring Operation: 84/6=14, Resulting Numbers: [83, 2, 14]
Generated Node #2: [83, 2, 14] from Operation: 84/6=14
Current State: 95:[83, 2, 14], Operations: ['84/6=14']
Exploring Operation: 83-2=81, Resulting Numbers: [14, 81]
Generated Node #3: [14, 81] from Operation: 83-2=81
Current State: 95:[14, 81], Operations: ['84/6=14', '83-2=81']
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[84, 83, 2, 6], Operations: []
Exploring Operation: 84-83=1, Resulting Numbers: [2, 6, 1]
Generated Node #0,0: 95:[2, 6, 1] Operation: 84-83=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[2, 6, 1], Operations: ['84-83=1']
Exploring Operation: 2+1=3, Resulting Numbers: [6, 3]
Generated Node #0,0,0: 95:[6, 3] Operation: 2+1=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[6, 3], Operations: ['84-83=1', '2+1=3']
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
33,
70,
67,
30
] | 41 | [
"70-67=3",
"33/3=11",
"30+11=41"
] | Current State: 41:[33, 70, 67, 30], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [33, 30, 3]
Generated Node #2: [33, 30, 3] from Operation: 70-67=3
Current State: 41:[33, 30, 3], Operations: ['70-67=3']
Exploring Operation: 33/3=11, Resulting Numbers: [30, 11]
Generated Node #3: [30, 11] from Operation: 33/3=11
Current State: 41:[30, 11], Operations: ['70-67=3', '33/3=11']
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[33, 70, 67, 30], Operations: []
Exploring Operation: 70-30=40, Resulting Numbers: [33, 67, 40]
Generated Node #0,0: 41:[33, 67, 40] Operation: 70-30=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[33, 67, 40], Operations: ['70-30=40']
Exploring Operation: 67-33=34, Resulting Numbers: [40, 34]
Generated Node #0,0,0: 41:[40, 34] Operation: 67-33=34
Moving to Node #0,0,0
Current State: 41:[40, 34], Operations: ['70-30=40', '67-33=34']
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
11,
26,
22,
7
] | 39 | [
"26-22=4",
"7*4=28",
"11+28=39"
] | Current State: 39:[11, 26, 22, 7], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [11, 7, 4]
Generated Node #2: [11, 7, 4] from Operation: 26-22=4
Current State: 39:[11, 7, 4], Operations: ['26-22=4']
Exploring Operation: 7*4=28, Resulting Numbers: [11, 28]
Generated Node #3: [11, 28] from Operation: 7*4=28
Current State: 39:[11, 28], Operations: ['26-22=4', '7*4=28']
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[11, 26, 22, 7], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [11, 7, 4]
Generated Node #0,0: 39:[11, 7, 4] Operation: 26-22=4
Moving to Node #0,0
Current State: 39:[11, 7, 4], Operations: ['26-22=4']
Exploring Operation: 11-7=4, Resulting Numbers: [4, 4]
Generated Node #0,0,0: 39:[4, 4] Operation: 11-7=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[4, 4], Operations: ['26-22=4', '11-7=4']
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,39 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 |
[
6,
62,
20,
12
] | 11 | [
"6*62=372",
"372/12=31",
"31-20=11"
] | Current State: 11:[6, 62, 20, 12], Operations: []
Exploring Operation: 6*62=372, Resulting Numbers: [20, 12, 372]
Generated Node #2: [20, 12, 372] from Operation: 6*62=372
Current State: 11:[20, 12, 372], Operations: ['6*62=372']
Exploring Operation: 372/12=31, Resulting Numbers: [20, 31]
Generated Node #3: [20, 31] from Operation: 372/12=31
Current State: 11:[20, 31], Operations: ['6*62=372', '372/12=31']
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[6, 62, 20, 12], Operations: []
Exploring Operation: 62-20=42, Resulting Numbers: [6, 12, 42]
Generated Node #0,0: 11:[6, 12, 42] Operation: 62-20=42
Moving to Node #0,0
Current State: 11:[6, 12, 42], Operations: ['62-20=42']
Exploring Operation: 42/6=7, Resulting Numbers: [12, 7]
Generated Node #0,0,0: 11:[12, 7] Operation: 42/6=7
Moving to Node #0,0,0
Current State: 11:[12, 7], Operations: ['62-20=42', '42/6=7']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,11 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
62,
33,
6,
78
] | 16 | [
"62-33=29",
"78/6=13",
"29-13=16"
] | Current State: 16:[62, 33, 6, 78], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [6, 78, 29]
Generated Node #2: [6, 78, 29] from Operation: 62-33=29
Current State: 16:[6, 78, 29], Operations: ['62-33=29']
Exploring Operation: 78/6=13, Resulting Numbers: [29, 13]
Generated Node #3: [29, 13] from Operation: 78/6=13
Current State: 16:[29, 13], Operations: ['62-33=29', '78/6=13']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[62, 33, 6, 78], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [6, 78, 29]
Generated Node #0,0: 16:[6, 78, 29] Operation: 62-33=29
Exploring Operation: 78-62=16, Resulting Numbers: [33, 6, 16]
Generated Node #0,1: 16:[33, 6, 16] Operation: 78-62=16
Exploring Operation: 78/6=13, Resulting Numbers: [62, 33, 13]
Generated Node #0,2: 16:[62, 33, 13] Operation: 78/6=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[33, 6, 16], Operations: ['78-62=16']
Exploring Operation: 33-6=27, Resulting Numbers: [16, 27]
Generated Node #0,1,0: 16:[16, 27] Operation: 33-6=27
Exploring Operation: 16-6=10, Resulting Numbers: [33, 10]
Generated Node #0,1,1: 16:[33, 10] Operation: 16-6=10
Exploring Operation: 33-16=17, Resulting Numbers: [6, 17]
Generated Node #0,1,2: 16:[6, 17] Operation: 33-16=17
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 16:[6, 17], Operations: ['78-62=16', '33-16=17']
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,16 unequal: No Solution
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,16 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 16:[16, 27], Operations: ['78-62=16', '33-6=27']
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 16*27=432, Resulting Numbers: [432]
432,16 unequal: No Solution
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 16:[33, 10], Operations: ['78-62=16', '16-6=10']
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,16 unequal: No Solution
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[62, 33, 13], Operations: ['78/6=13']
Exploring Operation: 33-13=20, Resulting Numbers: [62, 20]
Generated Node #0,2,0: 16:[62, 20] Operation: 33-13=20
Exploring Operation: 62-33=29, Resulting Numbers: [13, 29]
Generated Node #0,2,1: 16:[13, 29] Operation: 62-33=29
Exploring Operation: 62-13=49, Resulting Numbers: [33, 49]
Generated Node #0,2,2: 16:[33, 49] Operation: 62-13=49
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 16:[13, 29], Operations: ['78/6=13', '62-33=29']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[62, 33, 6, 78], Operations: []
Exploring Operation: 78/6=13, Resulting Numbers: [62, 33, 13]
Generated Node #0,2: 16:[62, 33, 13] Operation: 78/6=13
Moving to Node #0,2
Current State: 16:[62, 33, 13], Operations: ['78/6=13']
Exploring Operation: 62-33=29, Resulting Numbers: [13, 29]
Generated Node #0,2,1: 16:[13, 29] Operation: 62-33=29
Moving to Node #0,2,1
Current State: 16:[13, 29], Operations: ['78/6=13', '62-33=29']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
48,
43,
20,
16
] | 92 | [
"48*16=768",
"43*20=860",
"860-768=92"
] | Current State: 92:[48, 43, 20, 16], Operations: []
Exploring Operation: 48*16=768, Resulting Numbers: [43, 20, 768]
Generated Node #2: [43, 20, 768] from Operation: 48*16=768
Current State: 92:[43, 20, 768], Operations: ['48*16=768']
Exploring Operation: 43*20=860, Resulting Numbers: [768, 860]
Generated Node #3: [768, 860] from Operation: 43*20=860
Current State: 92:[768, 860], Operations: ['48*16=768', '43*20=860']
Exploring Operation: 860-768=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[48, 43, 20, 16], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [43, 20, 3]
Generated Node #0,0: 92:[43, 20, 3] Operation: 48/16=3
Exploring Operation: 20-16=4, Resulting Numbers: [48, 43, 4]
Generated Node #0,1: 92:[48, 43, 4] Operation: 20-16=4
Exploring Operation: 43-20=23, Resulting Numbers: [48, 16, 23]
Generated Node #0,2: 92:[48, 16, 23] Operation: 43-20=23
Moving to Node #0,1
Current State: 92:[48, 43, 4], Operations: ['20-16=4']
Exploring Operation: 43+4=47, Resulting Numbers: [48, 47]
Generated Node #0,1,0: 92:[48, 47] Operation: 43+4=47
Exploring Operation: 48-43=5, Resulting Numbers: [4, 5]
Generated Node #0,1,1: 92:[4, 5] Operation: 48-43=5
Exploring Operation: 48+43=91, Resulting Numbers: [4, 91]
Generated Node #0,1,2: 92:[4, 91] Operation: 48+43=91
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 92:[4, 5], Operations: ['20-16=4', '48-43=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,92 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 #0,1,2
Current State: 92:[4, 91], Operations: ['20-16=4', '48+43=91']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,92 unequal: No Solution
Exploring Operation: 4*91=364, Resulting Numbers: [364]
364,92 unequal: No Solution
Exploring Operation: 4+91=95, Resulting Numbers: [95]
95,92 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 #0,1,0
Current State: 92:[48, 47], Operations: ['20-16=4', '43+4=47']
Exploring Operation: 48+47=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Exploring Operation: 48*47=2256, Resulting Numbers: [2256]
2256,92 unequal: No Solution
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,92 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: 92:[43, 20, 3], Operations: ['48/16=3']
Exploring Operation: 43+3=46, Resulting Numbers: [20, 46]
Generated Node #0,0,0: 92:[20, 46] Operation: 43+3=46
Exploring Operation: 20+3=23, Resulting Numbers: [43, 23]
Generated Node #0,0,1: 92:[43, 23] Operation: 20+3=23
Exploring Operation: 43-20=23, Resulting Numbers: [3, 23]
Generated Node #0,0,2: 92:[3, 23] Operation: 43-20=23
Moving to Node #0,2
Current State: 92:[48, 16, 23], Operations: ['43-20=23']
Exploring Operation: 23-16=7, Resulting Numbers: [48, 7]
Generated Node #0,2,0: 92:[48, 7] Operation: 23-16=7
Exploring Operation: 48-16=32, Resulting Numbers: [23, 32]
Generated Node #0,2,1: 92:[23, 32] Operation: 48-16=32
Exploring Operation: 48/16=3, Resulting Numbers: [23, 3]
Generated Node #0,2,2: 92:[23, 3] Operation: 48/16=3
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 92:[23, 3], Operations: ['43-20=23', '48/16=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,92 unequal: No Solution
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,92 unequal: No Solution
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,92 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 #0,2,0
Current State: 92:[48, 7], Operations: ['43-20=23', '23-16=7']
Exploring Operation: 48*7=336, Resulting Numbers: [336]
336,92 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 48+7=55, Resulting Numbers: [55]
55,92 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 #0,2,1
Current State: 92:[23, 32], Operations: ['43-20=23', '48-16=32']
Exploring Operation: 23+32=55, Resulting Numbers: [55]
55,92 unequal: No Solution
Exploring Operation: 23*32=736, Resulting Numbers: [736]
736,92 unequal: No Solution
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,92 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: 92:[3, 23], Operations: ['48/16=3', '43-20=23']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,92 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,92 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[20, 46], Operations: ['48/16=3', '43+3=46']
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 20+46=66, Resulting Numbers: [66]
66,92 unequal: No Solution
Exploring Operation: 20*46=920, Resulting Numbers: [920]
920,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[43, 23], Operations: ['48/16=3', '20+3=23']
Exploring Operation: 43*23=989, Resulting Numbers: [989]
989,92 unequal: No Solution
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,92 unequal: No Solution
Exploring Operation: 43+23=66, Resulting Numbers: [66]
66,92 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
5,
76,
26,
92
] | 50 | [
"76+26=102",
"102-92=10",
"5*10=50"
] | Current State: 50:[5, 76, 26, 92], Operations: []
Exploring Operation: 76+26=102, Resulting Numbers: [5, 92, 102]
Generated Node #2: [5, 92, 102] from Operation: 76+26=102
Current State: 50:[5, 92, 102], Operations: ['76+26=102']
Exploring Operation: 102-92=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 102-92=10
Current State: 50:[5, 10], Operations: ['76+26=102', '102-92=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[5, 76, 26, 92], Operations: []
Exploring Operation: 92-26=66, Resulting Numbers: [5, 76, 66]
Generated Node #0,0: 50:[5, 76, 66] Operation: 92-26=66
Exploring Operation: 92-76=16, Resulting Numbers: [5, 26, 16]
Generated Node #0,1: 50:[5, 26, 16] Operation: 92-76=16
Exploring Operation: 76-26=50, Resulting Numbers: [5, 92, 50]
Generated Node #0,2: 50:[5, 92, 50] Operation: 76-26=50
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[5, 26, 16], Operations: ['92-76=16']
Exploring Operation: 5+16=21, Resulting Numbers: [26, 21]
Generated Node #0,1,0: 50:[26, 21] Operation: 5+16=21
Exploring Operation: 26-16=10, Resulting Numbers: [5, 10]
Generated Node #0,1,1: 50:[5, 10] Operation: 26-16=10
Exploring Operation: 16-5=11, Resulting Numbers: [26, 11]
Generated Node #0,1,2: 50:[26, 11] Operation: 16-5=11
Moving to Node #0,1,1
Current State: 50:[5, 10], Operations: ['92-76=16', '26-16=10']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[5, 76, 26, 92], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [5, 26, 16]
Generated Node #0,1: 50:[5, 26, 16] Operation: 92-76=16
Moving to Node #0,1
Current State: 50:[5, 26, 16], Operations: ['92-76=16']
Exploring Operation: 26-16=10, Resulting Numbers: [5, 10]
Generated Node #0,1,1: 50:[5, 10] Operation: 26-16=10
Moving to Node #0,1,1
Current State: 50:[5, 10], Operations: ['92-76=16', '26-16=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
37,
10,
84,
72
] | 83 | [
"84-72=12",
"10*12=120",
"120-37=83"
] | Current State: 83:[37, 10, 84, 72], Operations: []
Exploring Operation: 84-72=12, Resulting Numbers: [37, 10, 12]
Generated Node #2: [37, 10, 12] from Operation: 84-72=12
Current State: 83:[37, 10, 12], Operations: ['84-72=12']
Exploring Operation: 10*12=120, Resulting Numbers: [37, 120]
Generated Node #3: [37, 120] from Operation: 10*12=120
Current State: 83:[37, 120], Operations: ['84-72=12', '10*12=120']
Exploring Operation: 120-37=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[37, 10, 84, 72], Operations: []
Exploring Operation: 10+72=82, Resulting Numbers: [37, 84, 82]
Generated Node #0,0: 83:[37, 84, 82] Operation: 10+72=82
Exploring Operation: 37+10=47, Resulting Numbers: [84, 72, 47]
Generated Node #0,1: 83:[84, 72, 47] Operation: 37+10=47
Moving to Node #0,0
Current State: 83:[37, 84, 82], Operations: ['10+72=82']
Exploring Operation: 37+82=119, Resulting Numbers: [84, 119]
Generated Node #0,0,0: 83:[84, 119] Operation: 37+82=119
Exploring Operation: 84-37=47, Resulting Numbers: [82, 47]
Generated Node #0,0,1: 83:[82, 47] Operation: 84-37=47
Moving to Node #0,1
Current State: 83:[84, 72, 47], Operations: ['37+10=47']
Exploring Operation: 84-47=37, Resulting Numbers: [72, 37]
Generated Node #0,1,0: 83:[72, 37] Operation: 84-47=37
Exploring Operation: 72+47=119, Resulting Numbers: [84, 119]
Generated Node #0,1,1: 83:[84, 119] Operation: 72+47=119
Moving to Node #0,0,0
Current State: 83:[84, 119], Operations: ['10+72=82', '37+82=119']
Exploring Operation: 84+119=203, Resulting Numbers: [203]
203,83 unequal: No Solution
Exploring Operation: 119-84=35, Resulting Numbers: [35]
35,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[84, 119], Operations: ['37+10=47', '72+47=119']
Exploring Operation: 119-84=35, Resulting Numbers: [35]
35,83 unequal: No Solution
Exploring Operation: 84+119=203, Resulting Numbers: [203]
203,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[82, 47], Operations: ['10+72=82', '84-37=47']
Exploring Operation: 82+47=129, Resulting Numbers: [129]
129,83 unequal: No Solution
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[72, 37], Operations: ['37+10=47', '84-47=37']
Exploring Operation: 72-37=35, Resulting Numbers: [35]
35,83 unequal: No Solution
Exploring Operation: 72+37=109, Resulting Numbers: [109]
109,83 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
53,
64,
35,
95
] | 71 | [
"64-53=11",
"95-35=60",
"11+60=71"
] | Current State: 71:[53, 64, 35, 95], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [35, 95, 11]
Generated Node #2: [35, 95, 11] from Operation: 64-53=11
Current State: 71:[35, 95, 11], Operations: ['64-53=11']
Exploring Operation: 95-35=60, Resulting Numbers: [11, 60]
Generated Node #3: [11, 60] from Operation: 95-35=60
Current State: 71:[11, 60], Operations: ['64-53=11', '95-35=60']
Exploring Operation: 11+60=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[53, 64, 35, 95], Operations: []
Exploring Operation: 53+35=88, Resulting Numbers: [64, 95, 88]
Generated Node #0,0: 71:[64, 95, 88] Operation: 53+35=88
Exploring Operation: 95-35=60, Resulting Numbers: [53, 64, 60]
Generated Node #0,1: 71:[53, 64, 60] Operation: 95-35=60
Exploring Operation: 64+35=99, Resulting Numbers: [53, 95, 99]
Generated Node #0,2: 71:[53, 95, 99] Operation: 64+35=99
Moving to Node #0,1
Current State: 71:[53, 64, 60], Operations: ['95-35=60']
Exploring Operation: 53+60=113, Resulting Numbers: [64, 113]
Generated Node #0,1,0: 71:[64, 113] Operation: 53+60=113
Exploring Operation: 64-53=11, Resulting Numbers: [60, 11]
Generated Node #0,1,1: 71:[60, 11] Operation: 64-53=11
Exploring Operation: 53+64=117, Resulting Numbers: [60, 117]
Generated Node #0,1,2: 71:[60, 117] Operation: 53+64=117
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[64, 113], Operations: ['95-35=60', '53+60=113']
Exploring Operation: 113-64=49, Resulting Numbers: [49]
49,71 unequal: No Solution
Exploring Operation: 64+113=177, Resulting Numbers: [177]
177,71 unequal: No Solution
Exploring Operation: 64*113=7232, Resulting Numbers: [7232]
7232,71 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 #0,1,2
Current State: 71:[60, 117], Operations: ['95-35=60', '53+64=117']
Exploring Operation: 60+117=177, Resulting Numbers: [177]
177,71 unequal: No Solution
Exploring Operation: 117-60=57, Resulting Numbers: [57]
57,71 unequal: No Solution
Exploring Operation: 60*117=7020, Resulting Numbers: [7020]
7020,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[60, 11], Operations: ['95-35=60', '64-53=11']
Exploring Operation: 60-11=49, Resulting Numbers: [49]
49,71 unequal: No Solution
Exploring Operation: 60*11=660, Resulting Numbers: [660]
660,71 unequal: No Solution
Exploring Operation: 60+11=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[53, 64, 35, 95], Operations: []
Exploring Operation: 95-35=60, Resulting Numbers: [53, 64, 60]
Generated Node #0,1: 71:[53, 64, 60] Operation: 95-35=60
Moving to Node #0,1
Current State: 71:[53, 64, 60], Operations: ['95-35=60']
Exploring Operation: 64-53=11, Resulting Numbers: [60, 11]
Generated Node #0,1,1: 71:[60, 11] Operation: 64-53=11
Moving to Node #0,1,1
Current State: 71:[60, 11], Operations: ['95-35=60', '64-53=11']
Exploring Operation: 60+11=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
59,
52,
52,
89
] | 89 | [
"52-52=0",
"59*0=0",
"89+0=89"
] | Current State: 89:[59, 52, 52, 89], Operations: []
Exploring Operation: 52-52=0, Resulting Numbers: [59, 89, 0]
Generated Node #2: [59, 89, 0] from Operation: 52-52=0
Current State: 89:[59, 89, 0], Operations: ['52-52=0']
Exploring Operation: 59*0=0, Resulting Numbers: [89, 0]
Generated Node #3: [89, 0] from Operation: 59*0=0
Current State: 89:[89, 0], Operations: ['52-52=0', '59*0=0']
Exploring Operation: 89+0=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[59, 52, 52, 89], Operations: []
Exploring Operation: 52+52=104, Resulting Numbers: [59, 89, 104]
Generated Node #0,0: 89:[59, 89, 104] Operation: 52+52=104
Moving to Node #0,0
Current State: 89:[59, 89, 104], Operations: ['52+52=104']
Exploring Operation: 104-59=45, Resulting Numbers: [89, 45]
Generated Node #0,0,0: 89:[89, 45] Operation: 104-59=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[89, 45], Operations: ['52+52=104', '104-59=45']
Exploring Operation: 89+45=134, Resulting Numbers: [134]
134,89 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 |
[
98,
85,
86,
57
] | 42 | [
"98-85=13",
"86-57=29",
"13+29=42"
] | Current State: 42:[98, 85, 86, 57], Operations: []
Exploring Operation: 98-85=13, Resulting Numbers: [86, 57, 13]
Generated Node #2: [86, 57, 13] from Operation: 98-85=13
Current State: 42:[86, 57, 13], Operations: ['98-85=13']
Exploring Operation: 86-57=29, Resulting Numbers: [13, 29]
Generated Node #3: [13, 29] from Operation: 86-57=29
Current State: 42:[13, 29], Operations: ['98-85=13', '86-57=29']
Exploring Operation: 13+29=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[98, 85, 86, 57], Operations: []
Exploring Operation: 98-85=13, Resulting Numbers: [86, 57, 13]
Generated Node #0,0: 42:[86, 57, 13] Operation: 98-85=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[86, 57, 13], Operations: ['98-85=13']
Exploring Operation: 86-57=29, Resulting Numbers: [13, 29]
Generated Node #0,0,0: 42:[13, 29] Operation: 86-57=29
Moving to Node #0,0,0
Current State: 42:[13, 29], Operations: ['98-85=13', '86-57=29']
Exploring Operation: 13+29=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[98, 85, 86, 57], Operations: []
Exploring Operation: 98-85=13, Resulting Numbers: [86, 57, 13]
Generated Node #0,0: 42:[86, 57, 13] Operation: 98-85=13
Moving to Node #0,0
Current State: 42:[86, 57, 13], Operations: ['98-85=13']
Exploring Operation: 86-57=29, Resulting Numbers: [13, 29]
Generated Node #0,0,0: 42:[13, 29] Operation: 86-57=29
Moving to Node #0,0,0
Current State: 42:[13, 29], Operations: ['98-85=13', '86-57=29']
Exploring Operation: 13+29=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
64,
48,
71,
16
] | 83 | [
"64/16=4",
"48/4=12",
"71+12=83"
] | Current State: 83:[64, 48, 71, 16], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [48, 71, 4]
Generated Node #2: [48, 71, 4] from Operation: 64/16=4
Current State: 83:[48, 71, 4], Operations: ['64/16=4']
Exploring Operation: 48/4=12, Resulting Numbers: [71, 12]
Generated Node #3: [71, 12] from Operation: 48/4=12
Current State: 83:[71, 12], Operations: ['64/16=4', '48/4=12']
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[64, 48, 71, 16], Operations: []
Exploring Operation: 64-16=48, Resulting Numbers: [48, 71, 48]
Generated Node #0,0: 83:[48, 71, 48] Operation: 64-16=48
Exploring Operation: 71+16=87, Resulting Numbers: [64, 48, 87]
Generated Node #0,1: 83:[64, 48, 87] Operation: 71+16=87
Exploring Operation: 64+16=80, Resulting Numbers: [48, 71, 80]
Generated Node #0,2: 83:[48, 71, 80] Operation: 64+16=80
Exploring Operation: 48+16=64, Resulting Numbers: [64, 71, 64]
Generated Node #0,3: 83:[64, 71, 64] Operation: 48+16=64
Moving to Node #0,2
Current State: 83:[48, 71, 80], Operations: ['64+16=80']
Exploring Operation: 48+80=128, Resulting Numbers: [71, 128]
Generated Node #0,2,0: 83:[71, 128] Operation: 48+80=128
Exploring Operation: 48+71=119, Resulting Numbers: [80, 119]
Generated Node #0,2,1: 83:[80, 119] Operation: 48+71=119
Exploring Operation: 71-48=23, Resulting Numbers: [80, 23]
Generated Node #0,2,2: 83:[80, 23] Operation: 71-48=23
Exploring Operation: 80-48=32, Resulting Numbers: [71, 32]
Generated Node #0,2,3: 83:[71, 32] Operation: 80-48=32
Moving to Node #0,3
Current State: 83:[64, 71, 64], Operations: ['48+16=64']
Exploring Operation: 64+64=128, Resulting Numbers: [71, 128]
Generated Node #0,3,0: 83:[71, 128] Operation: 64+64=128
Exploring Operation: 71+64=135, Resulting Numbers: [64, 135]
Generated Node #0,3,1: 83:[64, 135] Operation: 71+64=135
Exploring Operation: 64/64=1, Resulting Numbers: [71, 1]
Generated Node #0,3,2: 83:[71, 1] Operation: 64/64=1
Exploring Operation: 64+71=135, Resulting Numbers: [64, 135]
Generated Node #0,3,3: 83:[64, 135] Operation: 64+71=135
Moving to Node #0,1
Current State: 83:[64, 48, 87], Operations: ['71+16=87']
Exploring Operation: 48+87=135, Resulting Numbers: [64, 135]
Generated Node #0,1,0: 83:[64, 135] Operation: 48+87=135
Exploring Operation: 87-48=39, Resulting Numbers: [64, 39]
Generated Node #0,1,1: 83:[64, 39] Operation: 87-48=39
Exploring Operation: 64+48=112, Resulting Numbers: [87, 112]
Generated Node #0,1,2: 83:[87, 112] Operation: 64+48=112
Exploring Operation: 64-48=16, Resulting Numbers: [87, 16]
Generated Node #0,1,3: 83:[87, 16] Operation: 64-48=16
Moving to Node #0,0
Current State: 83:[48, 71, 48], Operations: ['64-16=48']
Exploring Operation: 48+71=119, Resulting Numbers: [48, 119]
Generated Node #0,0,0: 83:[48, 119] Operation: 48+71=119
Exploring Operation: 48+48=96, Resulting Numbers: [71, 96]
Generated Node #0,0,1: 83:[71, 96] Operation: 48+48=96
Exploring Operation: 48/48=1, Resulting Numbers: [71, 1]
Generated Node #0,0,2: 83:[71, 1] Operation: 48/48=1
Exploring Operation: 71+48=119, Resulting Numbers: [48, 119]
Generated Node #0,0,3: 83:[48, 119] Operation: 71+48=119
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[71, 96], Operations: ['64-16=48', '48+48=96']
Exploring Operation: 71+96=167, Resulting Numbers: [167]
167,83 unequal: No Solution
Exploring Operation: 96-71=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 71*96=6816, Resulting Numbers: [6816]
6816,83 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 #0,0,0
Current State: 83:[48, 119], Operations: ['64-16=48', '48+71=119']
Exploring Operation: 48*119=5712, Resulting Numbers: [5712]
5712,83 unequal: No Solution
Exploring Operation: 119-48=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 48+119=167, Resulting Numbers: [167]
167,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 83:[48, 119], Operations: ['64-16=48', '71+48=119']
Exploring Operation: 48*119=5712, Resulting Numbers: [5712]
5712,83 unequal: No Solution
Exploring Operation: 119-48=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 48+119=167, Resulting Numbers: [167]
167,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[71, 1], Operations: ['64-16=48', '48/48=1']
Exploring Operation: 71+1=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,83 unequal: No Solution
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 83:[87, 112], Operations: ['71+16=87', '64+48=112']
Exploring Operation: 87*112=9744, Resulting Numbers: [9744]
9744,83 unequal: No Solution
Exploring Operation: 87+112=199, Resulting Numbers: [199]
199,83 unequal: No Solution
Exploring Operation: 112-87=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[80, 119], Operations: ['64+16=80', '48+71=119']
Exploring Operation: 80*119=9520, Resulting Numbers: [9520]
9520,83 unequal: No Solution
Exploring Operation: 119-80=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 80+119=199, Resulting Numbers: [199]
199,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[71, 128], Operations: ['48+16=64', '64+64=128']
Exploring Operation: 71+128=199, Resulting Numbers: [199]
199,83 unequal: No Solution
Exploring Operation: 71*128=9088, Resulting Numbers: [9088]
9088,83 unequal: No Solution
Exploring Operation: 128-71=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[71, 128], Operations: ['64+16=80', '48+80=128']
Exploring Operation: 71+128=199, Resulting Numbers: [199]
199,83 unequal: No Solution
Exploring Operation: 128-71=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 71*128=9088, Resulting Numbers: [9088]
9088,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[80, 23], Operations: ['64+16=80', '71-48=23']
Exploring Operation: 80+23=103, Resulting Numbers: [103]
103,83 unequal: No Solution
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 80*23=1840, Resulting Numbers: [1840]
1840,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[64, 39], Operations: ['71+16=87', '87-48=39']
Exploring Operation: 64*39=2496, Resulting Numbers: [2496]
2496,83 unequal: No Solution
Exploring Operation: 64+39=103, Resulting Numbers: [103]
103,83 unequal: No Solution
Exploring Operation: 64-39=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[71, 32], Operations: ['64+16=80', '80-48=32']
Exploring Operation: 71-32=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 71+32=103, Resulting Numbers: [103]
103,83 unequal: No Solution
Exploring Operation: 71*32=2272, Resulting Numbers: [2272]
2272,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[64, 135], Operations: ['48+16=64', '64+71=135']
Exploring Operation: 64+135=199, Resulting Numbers: [199]
199,83 unequal: No Solution
Exploring Operation: 135-64=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 64*135=8640, Resulting Numbers: [8640]
8640,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[64, 135], Operations: ['48+16=64', '71+64=135']
Exploring Operation: 64*135=8640, Resulting Numbers: [8640]
8640,83 unequal: No Solution
Exploring Operation: 135-64=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 64+135=199, Resulting Numbers: [199]
199,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[64, 135], Operations: ['71+16=87', '48+87=135']
Exploring Operation: 64+135=199, Resulting Numbers: [199]
199,83 unequal: No Solution
Exploring Operation: 64*135=8640, Resulting Numbers: [8640]
8640,83 unequal: No Solution
Exploring Operation: 135-64=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[87, 16], Operations: ['71+16=87', '64-48=16']
Exploring Operation: 87+16=103, Resulting Numbers: [103]
103,83 unequal: No Solution
Exploring Operation: 87*16=1392, Resulting Numbers: [1392]
1392,83 unequal: No Solution
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[71, 1], Operations: ['48+16=64', '64/64=1']
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,83 unequal: No Solution
Exploring Operation: 71+1=72, Resulting Numbers: [72]
72,83 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
34,
27,
15,
28
] | 19 | [
"34-27=7",
"28/7=4",
"15+4=19"
] | Current State: 19:[34, 27, 15, 28], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [15, 28, 7]
Generated Node #2: [15, 28, 7] from Operation: 34-27=7
Current State: 19:[15, 28, 7], Operations: ['34-27=7']
Exploring Operation: 28/7=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 28/7=4
Current State: 19:[15, 4], Operations: ['34-27=7', '28/7=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[34, 27, 15, 28], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [15, 28, 7]
Generated Node #0,0: 19:[15, 28, 7] Operation: 34-27=7
Exploring Operation: 34-15=19, Resulting Numbers: [27, 28, 19]
Generated Node #0,1: 19:[27, 28, 19] Operation: 34-15=19
Exploring Operation: 34-28=6, Resulting Numbers: [27, 15, 6]
Generated Node #0,2: 19:[27, 15, 6] Operation: 34-28=6
Exploring Operation: 28-15=13, Resulting Numbers: [34, 27, 13]
Generated Node #0,3: 19:[34, 27, 13] Operation: 28-15=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[27, 28, 19], Operations: ['34-15=19']
Exploring Operation: 28-27=1, Resulting Numbers: [19, 1]
Generated Node #0,1,0: 19:[19, 1] Operation: 28-27=1
Exploring Operation: 27+28=55, Resulting Numbers: [19, 55]
Generated Node #0,1,1: 19:[19, 55] Operation: 27+28=55
Exploring Operation: 27-19=8, Resulting Numbers: [28, 8]
Generated Node #0,1,2: 19:[28, 8] Operation: 27-19=8
Exploring Operation: 28-19=9, Resulting Numbers: [27, 9]
Generated Node #0,1,3: 19:[27, 9] Operation: 28-19=9
Moving to Node #0,1,0
Current State: 19:[19, 1], Operations: ['34-15=19', '28-27=1']
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[34, 27, 15, 28], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [27, 28, 19]
Generated Node #0,1: 19:[27, 28, 19] Operation: 34-15=19
Moving to Node #0,1
Current State: 19:[27, 28, 19], Operations: ['34-15=19']
Exploring Operation: 28-27=1, Resulting Numbers: [19, 1]
Generated Node #0,1,0: 19:[19, 1] Operation: 28-27=1
Moving to Node #0,1,0
Current State: 19:[19, 1], Operations: ['34-15=19', '28-27=1']
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
83,
52,
81,
68
] | 60 | [
"83-81=2",
"52+68=120",
"120/2=60"
] | Current State: 60:[83, 52, 81, 68], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [52, 68, 2]
Generated Node #2: [52, 68, 2] from Operation: 83-81=2
Current State: 60:[52, 68, 2], Operations: ['83-81=2']
Exploring Operation: 52+68=120, Resulting Numbers: [2, 120]
Generated Node #3: [2, 120] from Operation: 52+68=120
Current State: 60:[2, 120], Operations: ['83-81=2', '52+68=120']
Exploring Operation: 120/2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[83, 52, 81, 68], Operations: []
Exploring Operation: 83-68=15, Resulting Numbers: [52, 81, 15]
Generated Node #0,0: 60:[52, 81, 15] Operation: 83-68=15
Exploring Operation: 83-81=2, Resulting Numbers: [52, 68, 2]
Generated Node #0,1: 60:[52, 68, 2] Operation: 83-81=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[52, 68, 2], Operations: ['83-81=2']
Exploring Operation: 52/2=26, Resulting Numbers: [68, 26]
Generated Node #0,1,0: 60:[68, 26] Operation: 52/2=26
Exploring Operation: 68-52=16, Resulting Numbers: [2, 16]
Generated Node #0,1,1: 60:[2, 16] Operation: 68-52=16
Moving to Node #0,1,1
Current State: 60:[2, 16], Operations: ['83-81=2', '68-52=16']
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,60 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[68, 26], Operations: ['83-81=2', '52/2=26']
Exploring Operation: 68+26=94, Resulting Numbers: [94]
94,60 unequal: No Solution
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,60 unequal: No Solution
No 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: 60:[52, 81, 15], Operations: ['83-68=15']
Exploring Operation: 81-15=66, Resulting Numbers: [52, 66]
Generated Node #0,0,0: 60:[52, 66] Operation: 81-15=66
Exploring Operation: 81-52=29, Resulting Numbers: [15, 29]
Generated Node #0,0,1: 60:[15, 29] Operation: 81-52=29
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 60:[15, 29], Operations: ['83-68=15', '81-52=29']
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 15+29=44, Resulting Numbers: [44]
44,60 unequal: No Solution
No 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: 60:[52, 66], Operations: ['83-68=15', '81-15=66']
Exploring Operation: 52+66=118, Resulting Numbers: [118]
118,60 unequal: No Solution
Exploring Operation: 66-52=14, Resulting Numbers: [14]
14,60 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 |
[
3,
52,
2,
98
] | 98 | [
"52-3=49",
"98/2=49",
"49+49=98"
] | Current State: 98:[3, 52, 2, 98], Operations: []
Exploring Operation: 52-3=49, Resulting Numbers: [2, 98, 49]
Generated Node #2: [2, 98, 49] from Operation: 52-3=49
Current State: 98:[2, 98, 49], Operations: ['52-3=49']
Exploring Operation: 98/2=49, Resulting Numbers: [49, 49]
Generated Node #3: [49, 49] from Operation: 98/2=49
Current State: 98:[49, 49], Operations: ['52-3=49', '98/2=49']
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[3, 52, 2, 98], Operations: []
Exploring Operation: 52-3=49, Resulting Numbers: [2, 98, 49]
Generated Node #0,0: 98:[2, 98, 49] Operation: 52-3=49
Exploring Operation: 98-52=46, Resulting Numbers: [3, 2, 46]
Generated Node #0,1: 98:[3, 2, 46] Operation: 98-52=46
Exploring Operation: 3*2=6, Resulting Numbers: [52, 98, 6]
Generated Node #0,2: 98:[52, 98, 6] Operation: 3*2=6
Exploring Operation: 52-2=50, Resulting Numbers: [3, 98, 50]
Generated Node #0,3: 98:[3, 98, 50] Operation: 52-2=50
Exploring Operation: 3-2=1, Resulting Numbers: [52, 98, 1]
Generated Node #0,4: 98:[52, 98, 1] Operation: 3-2=1
Moving to Node #0,0
Current State: 98:[2, 98, 49], Operations: ['52-3=49']
Exploring Operation: 2+98=100, Resulting Numbers: [49, 100]
Generated Node #0,0,0: 98:[49, 100] Operation: 2+98=100
Exploring Operation: 98-49=49, Resulting Numbers: [2, 49]
Generated Node #0,0,1: 98:[2, 49] Operation: 98-49=49
Exploring Operation: 2*49=98, Resulting Numbers: [98, 98]
Generated Node #0,0,2: 98:[98, 98] Operation: 2*49=98
Exploring Operation: 98/2=49, Resulting Numbers: [49, 49]
Generated Node #0,0,3: 98:[49, 49] Operation: 98/2=49
Exploring Operation: 98/49=2, Resulting Numbers: [2, 2]
Generated Node #0,0,4: 98:[2, 2] Operation: 98/49=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 98:[2, 49], Operations: ['52-3=49', '98-49=49']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,98 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[3, 52, 2, 98], Operations: []
Exploring Operation: 52-3=49, Resulting Numbers: [2, 98, 49]
Generated Node #0,0: 98:[2, 98, 49] Operation: 52-3=49
Moving to Node #0,0
Current State: 98:[2, 98, 49], Operations: ['52-3=49']
Exploring Operation: 98-49=49, Resulting Numbers: [2, 49]
Generated Node #0,0,1: 98:[2, 49] Operation: 98-49=49
Moving to Node #0,0,1
Current State: 98:[2, 49], Operations: ['52-3=49', '98-49=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
63,
48,
41,
95
] | 39 | [
"63-48=15",
"95-41=54",
"54-15=39"
] | Current State: 39:[63, 48, 41, 95], Operations: []
Exploring Operation: 63-48=15, Resulting Numbers: [41, 95, 15]
Generated Node #2: [41, 95, 15] from Operation: 63-48=15
Current State: 39:[41, 95, 15], Operations: ['63-48=15']
Exploring Operation: 95-41=54, Resulting Numbers: [15, 54]
Generated Node #3: [15, 54] from Operation: 95-41=54
Current State: 39:[15, 54], Operations: ['63-48=15', '95-41=54']
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[63, 48, 41, 95], Operations: []
Exploring Operation: 95-41=54, Resulting Numbers: [63, 48, 54]
Generated Node #0,0: 39:[63, 48, 54] Operation: 95-41=54
Exploring Operation: 95-48=47, Resulting Numbers: [63, 41, 47]
Generated Node #0,1: 39:[63, 41, 47] Operation: 95-48=47
Exploring Operation: 95-63=32, Resulting Numbers: [48, 41, 32]
Generated Node #0,2: 39:[48, 41, 32] Operation: 95-63=32
Moving to Node #0,2
Current State: 39:[48, 41, 32], Operations: ['95-63=32']
Exploring Operation: 48-32=16, Resulting Numbers: [41, 16]
Generated Node #0,2,0: 39:[41, 16] Operation: 48-32=16
Exploring Operation: 41-32=9, Resulting Numbers: [48, 9]
Generated Node #0,2,1: 39:[48, 9] Operation: 41-32=9
Exploring Operation: 48-41=7, Resulting Numbers: [32, 7]
Generated Node #0,2,2: 39:[32, 7] Operation: 48-41=7
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[41, 16], Operations: ['95-63=32', '48-32=16']
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,39 unequal: No Solution
Exploring Operation: 41*16=656, Resulting Numbers: [656]
656,39 unequal: No Solution
Exploring Operation: 41+16=57, Resulting Numbers: [57]
57,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[32, 7], Operations: ['95-63=32', '48-41=7']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,39 unequal: No Solution
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[63, 48, 41, 95], Operations: []
Exploring Operation: 95-63=32, Resulting Numbers: [48, 41, 32]
Generated Node #0,2: 39:[48, 41, 32] Operation: 95-63=32
Moving to Node #0,2
Current State: 39:[48, 41, 32], Operations: ['95-63=32']
Exploring Operation: 48-41=7, Resulting Numbers: [32, 7]
Generated Node #0,2,2: 39:[32, 7] Operation: 48-41=7
Moving to Node #0,2,2
Current State: 39:[32, 7], Operations: ['95-63=32', '48-41=7']
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
97,
53,
99,
27
] | 78 | [
"97+53=150",
"99-27=72",
"150-72=78"
] | Current State: 78:[97, 53, 99, 27], Operations: []
Exploring Operation: 97+53=150, Resulting Numbers: [99, 27, 150]
Generated Node #2: [99, 27, 150] from Operation: 97+53=150
Current State: 78:[99, 27, 150], Operations: ['97+53=150']
Exploring Operation: 99-27=72, Resulting Numbers: [150, 72]
Generated Node #3: [150, 72] from Operation: 99-27=72
Current State: 78:[150, 72], Operations: ['97+53=150', '99-27=72']
Exploring Operation: 150-72=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[97, 53, 99, 27], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [53, 27, 2]
Generated Node #0,0: 78:[53, 27, 2] Operation: 99-97=2
Moving to Node #0,0
Current State: 78:[53, 27, 2], Operations: ['99-97=2']
Exploring Operation: 53-27=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 78:[2, 26] Operation: 53-27=26
Moving to Node #0,0,0
Current State: 78:[2, 26], Operations: ['99-97=2', '53-27=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,78 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
97,
61,
2,
47
] | 72 | [
"97-47=50",
"61*2=122",
"122-50=72"
] | Current State: 72:[97, 61, 2, 47], Operations: []
Exploring Operation: 97-47=50, Resulting Numbers: [61, 2, 50]
Generated Node #2: [61, 2, 50] from Operation: 97-47=50
Current State: 72:[61, 2, 50], Operations: ['97-47=50']
Exploring Operation: 61*2=122, Resulting Numbers: [50, 122]
Generated Node #3: [50, 122] from Operation: 61*2=122
Current State: 72:[50, 122], Operations: ['97-47=50', '61*2=122']
Exploring Operation: 122-50=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[97, 61, 2, 47], Operations: []
Exploring Operation: 61-47=14, Resulting Numbers: [97, 2, 14]
Generated Node #0,0: 72:[97, 2, 14] Operation: 61-47=14
Exploring Operation: 97-2=95, Resulting Numbers: [61, 47, 95]
Generated Node #0,1: 72:[61, 47, 95] Operation: 97-2=95
Exploring Operation: 97-61=36, Resulting Numbers: [2, 47, 36]
Generated Node #0,2: 72:[2, 47, 36] Operation: 97-61=36
Exploring Operation: 61+2=63, Resulting Numbers: [97, 47, 63]
Generated Node #0,3: 72:[97, 47, 63] Operation: 61+2=63
Exploring Operation: 97-47=50, Resulting Numbers: [61, 2, 50]
Generated Node #0,4: 72:[61, 2, 50] Operation: 97-47=50
Moving to Node #0,2
Current State: 72:[2, 47, 36], Operations: ['97-61=36']
Exploring Operation: 47-2=45, Resulting Numbers: [36, 45]
Generated Node #0,2,0: 72:[36, 45] Operation: 47-2=45
Exploring Operation: 47-36=11, Resulting Numbers: [2, 11]
Generated Node #0,2,1: 72:[2, 11] Operation: 47-36=11
Exploring Operation: 36/2=18, Resulting Numbers: [47, 18]
Generated Node #0,2,2: 72:[47, 18] Operation: 36/2=18
Exploring Operation: 2*36=72, Resulting Numbers: [47, 72]
Generated Node #0,2,3: 72:[47, 72] Operation: 2*36=72
Exploring Operation: 47+36=83, Resulting Numbers: [2, 83]
Generated Node #0,2,4: 72:[2, 83] Operation: 47+36=83
Moving to Node #0,4
Current State: 72:[61, 2, 50], Operations: ['97-47=50']
Exploring Operation: 50/2=25, Resulting Numbers: [61, 25]
Generated Node #0,4,0: 72:[61, 25] Operation: 50/2=25
Exploring Operation: 61+2=63, Resulting Numbers: [50, 63]
Generated Node #0,4,1: 72:[50, 63] Operation: 61+2=63
Exploring Operation: 50-2=48, Resulting Numbers: [61, 48]
Generated Node #0,4,2: 72:[61, 48] Operation: 50-2=48
Exploring Operation: 61-50=11, Resulting Numbers: [2, 11]
Generated Node #0,4,3: 72:[2, 11] Operation: 61-50=11
Exploring Operation: 61-2=59, Resulting Numbers: [50, 59]
Generated Node #0,4,4: 72:[50, 59] Operation: 61-2=59
Moving to Node #0,0
Current State: 72:[97, 2, 14], Operations: ['61-47=14']
Exploring Operation: 14/2=7, Resulting Numbers: [97, 7]
Generated Node #0,0,0: 72:[97, 7] Operation: 14/2=7
Exploring Operation: 2+14=16, Resulting Numbers: [97, 16]
Generated Node #0,0,1: 72:[97, 16] Operation: 2+14=16
Exploring Operation: 14-2=12, Resulting Numbers: [97, 12]
Generated Node #0,0,2: 72:[97, 12] Operation: 14-2=12
Exploring Operation: 97-2=95, Resulting Numbers: [14, 95]
Generated Node #0,0,3: 72:[14, 95] Operation: 97-2=95
Exploring Operation: 97-14=83, Resulting Numbers: [2, 83]
Generated Node #0,0,4: 72:[2, 83] Operation: 97-14=83
Moving to Node #0,1
Current State: 72:[61, 47, 95], Operations: ['97-2=95']
Exploring Operation: 47+95=142, Resulting Numbers: [61, 142]
Generated Node #0,1,0: 72:[61, 142] Operation: 47+95=142
Exploring Operation: 95-61=34, Resulting Numbers: [47, 34]
Generated Node #0,1,1: 72:[47, 34] Operation: 95-61=34
Exploring Operation: 61+47=108, Resulting Numbers: [95, 108]
Generated Node #0,1,2: 72:[95, 108] Operation: 61+47=108
Exploring Operation: 61-47=14, Resulting Numbers: [95, 14]
Generated Node #0,1,3: 72:[95, 14] Operation: 61-47=14
Exploring Operation: 95-47=48, Resulting Numbers: [61, 48]
Generated Node #0,1,4: 72:[61, 48] Operation: 95-47=48
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 72:[47, 34], Operations: ['97-2=95', '95-61=34']
Exploring Operation: 47*34=1598, Resulting Numbers: [1598]
1598,72 unequal: No Solution
Exploring Operation: 47+34=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,72 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 #0,1,4
Current State: 72:[61, 48], Operations: ['97-2=95', '95-47=48']
Exploring Operation: 61+48=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Exploring Operation: 61*48=2928, Resulting Numbers: [2928]
2928,72 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,72 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 #0,1,3
Current State: 72:[95, 14], Operations: ['97-2=95', '61-47=14']
Exploring Operation: 95+14=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 95*14=1330, Resulting Numbers: [1330]
1330,72 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 #0,1,2
Current State: 72:[95, 108], Operations: ['97-2=95', '61+47=108']
Exploring Operation: 108-95=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 95*108=10260, Resulting Numbers: [10260]
10260,72 unequal: No Solution
Exploring Operation: 95+108=203, Resulting Numbers: [203]
203,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[61, 142], Operations: ['97-2=95', '47+95=142']
Exploring Operation: 61*142=8662, Resulting Numbers: [8662]
8662,72 unequal: No Solution
Exploring Operation: 61+142=203, Resulting Numbers: [203]
203,72 unequal: No Solution
Exploring Operation: 142-61=81, Resulting Numbers: [81]
81,72 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:[97, 47, 63], Operations: ['61+2=63']
Exploring Operation: 97-63=34, Resulting Numbers: [47, 34]
Generated Node #0,3,0: 72:[47, 34] Operation: 97-63=34
Exploring Operation: 47+63=110, Resulting Numbers: [97, 110]
Generated Node #0,3,1: 72:[97, 110] Operation: 47+63=110
Exploring Operation: 63-47=16, Resulting Numbers: [97, 16]
Generated Node #0,3,2: 72:[97, 16] Operation: 63-47=16
Exploring Operation: 97+47=144, Resulting Numbers: [63, 144]
Generated Node #0,3,3: 72:[63, 144] Operation: 97+47=144
Exploring Operation: 97-47=50, Resulting Numbers: [63, 50]
Generated Node #0,3,4: 72:[63, 50] Operation: 97-47=50
Moving to Node #0,2,1
Current State: 72:[2, 11], Operations: ['97-61=36', '47-36=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Moving to Node #0,4,3
Current State: 72:[2, 11], Operations: ['97-47=50', '61-50=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[36, 45], Operations: ['97-61=36', '47-2=45']
Exploring Operation: 36+45=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 36*45=1620, Resulting Numbers: [1620]
1620,72 unequal: No Solution
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[47, 18], Operations: ['97-61=36', '36/2=18']
Exploring Operation: 47+18=65, Resulting Numbers: [65]
65,72 unequal: No Solution
Exploring Operation: 47*18=846, Resulting Numbers: [846]
846,72 unequal: No Solution
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,72 unequal: No Solution
Moving to Node #0,2,4
Current State: 72:[2, 83], Operations: ['97-61=36', '47+36=83']
Exploring Operation: 2+83=85, Resulting Numbers: [85]
85,72 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 2*83=166, Resulting Numbers: [166]
166,72 unequal: No Solution
Moving to Node #0,0,4
Current State: 72:[2, 83], Operations: ['61-47=14', '97-14=83']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 2+83=85, Resulting Numbers: [85]
85,72 unequal: No Solution
Exploring Operation: 2*83=166, Resulting Numbers: [166]
166,72 unequal: No Solution
Moving to Node #0,2,3
Current State: 72:[47, 72], Operations: ['97-61=36', '2*36=72']
Exploring Operation: 47*72=3384, Resulting Numbers: [3384]
3384,72 unequal: No Solution
Exploring Operation: 47+72=119, Resulting Numbers: [119]
119,72 unequal: No Solution
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Moving to Node #0,4,0
Current State: 72:[61, 25], Operations: ['97-47=50', '50/2=25']
Exploring Operation: 61*25=1525, Resulting Numbers: [1525]
1525,72 unequal: No Solution
Exploring Operation: 61+25=86, Resulting Numbers: [86]
86,72 unequal: No Solution
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Moving to Node #0,3,0
Current State: 72:[47, 34], Operations: ['61+2=63', '97-63=34']
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 47+34=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 47*34=1598, Resulting Numbers: [1598]
1598,72 unequal: No Solution
Moving to Node #0,3,4
Current State: 72:[63, 50], Operations: ['61+2=63', '97-47=50']
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 63+50=113, Resulting Numbers: [113]
113,72 unequal: No Solution
Exploring Operation: 63*50=3150, Resulting Numbers: [3150]
3150,72 unequal: No Solution
Moving to Node #0,4,2
Current State: 72:[61, 48], Operations: ['97-47=50', '50-2=48']
Exploring Operation: 61*48=2928, Resulting Numbers: [2928]
2928,72 unequal: No Solution
Exploring Operation: 61+48=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Moving to Node #0,4,1
Current State: 72:[50, 63], Operations: ['97-47=50', '61+2=63']
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 50*63=3150, Resulting Numbers: [3150]
3150,72 unequal: No Solution
Exploring Operation: 50+63=113, Resulting Numbers: [113]
113,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[14, 95], Operations: ['61-47=14', '97-2=95']
Exploring Operation: 14*95=1330, Resulting Numbers: [1330]
1330,72 unequal: No Solution
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 14+95=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[97, 12], Operations: ['61-47=14', '14-2=12']
Exploring Operation: 97*12=1164, Resulting Numbers: [1164]
1164,72 unequal: No Solution
Exploring Operation: 97+12=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Exploring Operation: 97-12=85, Resulting Numbers: [85]
85,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[97, 7], Operations: ['61-47=14', '14/2=7']
Exploring Operation: 97+7=104, Resulting Numbers: [104]
104,72 unequal: No Solution
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,72 unequal: No Solution
Exploring Operation: 97*7=679, Resulting Numbers: [679]
679,72 unequal: No Solution
Moving to Node #0,3,2
Current State: 72:[97, 16], Operations: ['61+2=63', '63-47=16']
Exploring Operation: 97+16=113, Resulting Numbers: [113]
113,72 unequal: No Solution
Exploring Operation: 97-16=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 97*16=1552, Resulting Numbers: [1552]
1552,72 unequal: No Solution
Moving to Node #0,4,4
Current State: 72:[50, 59], Operations: ['97-47=50', '61-2=59']
Exploring Operation: 50+59=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Exploring Operation: 59-50=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 50*59=2950, Resulting Numbers: [2950]
2950,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[97, 16], Operations: ['61-47=14', '2+14=16']
Exploring Operation: 97*16=1552, Resulting Numbers: [1552]
1552,72 unequal: No Solution
Exploring Operation: 97+16=113, Resulting Numbers: [113]
113,72 unequal: No Solution
Exploring Operation: 97-16=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Moving to Node #0,3,1
Current State: 72:[97, 110], Operations: ['61+2=63', '47+63=110']
Exploring Operation: 97*110=10670, Resulting Numbers: [10670]
10670,72 unequal: No Solution
Exploring Operation: 97+110=207, Resulting Numbers: [207]
207,72 unequal: No Solution
Exploring Operation: 110-97=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Moving to Node #0,3,3
Current State: 72:[63, 144], Operations: ['61+2=63', '97+47=144']
Exploring Operation: 63*144=9072, Resulting Numbers: [9072]
9072,72 unequal: No Solution
Exploring Operation: 144-63=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 63+144=207, Resulting Numbers: [207]
207,72 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
42,
30,
18,
60
] | 47 | [
"30-18=12",
"60/12=5",
"42+5=47"
] | Current State: 47:[42, 30, 18, 60], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [42, 60, 12]
Generated Node #2: [42, 60, 12] from Operation: 30-18=12
Current State: 47:[42, 60, 12], Operations: ['30-18=12']
Exploring Operation: 60/12=5, Resulting Numbers: [42, 5]
Generated Node #3: [42, 5] from Operation: 60/12=5
Current State: 47:[42, 5], Operations: ['30-18=12', '60/12=5']
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[42, 30, 18, 60], Operations: []
Exploring Operation: 60-18=42, Resulting Numbers: [42, 30, 42]
Generated Node #0,0: 47:[42, 30, 42] Operation: 60-18=42
Exploring Operation: 30+18=48, Resulting Numbers: [42, 60, 48]
Generated Node #0,1: 47:[42, 60, 48] Operation: 30+18=48
Moving to Node #0,1
Current State: 47:[42, 60, 48], Operations: ['30+18=48']
Exploring Operation: 60-48=12, Resulting Numbers: [42, 12]
Generated Node #0,1,0: 47:[42, 12] Operation: 60-48=12
Exploring Operation: 60-42=18, Resulting Numbers: [48, 18]
Generated Node #0,1,1: 47:[48, 18] Operation: 60-42=18
Moving to Node #0,0
Current State: 47:[42, 30, 42], Operations: ['60-18=42']
Exploring Operation: 42+30=72, Resulting Numbers: [42, 72]
Generated Node #0,0,0: 47:[42, 72] Operation: 42+30=72
Exploring Operation: 30+42=72, Resulting Numbers: [42, 72]
Generated Node #0,0,1: 47:[42, 72] Operation: 30+42=72
Moving to Node #0,1,1
Current State: 47:[48, 18], Operations: ['30+18=48', '60-42=18']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,47 unequal: No Solution
Exploring Operation: 48+18=66, Resulting Numbers: [66]
66,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[42, 72], Operations: ['60-18=42', '42+30=72']
Exploring Operation: 42+72=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[42, 72], Operations: ['60-18=42', '30+42=72']
Exploring Operation: 42+72=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[42, 12], Operations: ['30+18=48', '60-48=12']
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,47 unequal: No Solution
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,47 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
29,
65,
22,
67
] | 23 | [
"65+67=132",
"132/22=6",
"29-6=23"
] | Current State: 23:[29, 65, 22, 67], Operations: []
Exploring Operation: 65+67=132, Resulting Numbers: [29, 22, 132]
Generated Node #2: [29, 22, 132] from Operation: 65+67=132
Current State: 23:[29, 22, 132], Operations: ['65+67=132']
Exploring Operation: 132/22=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 132/22=6
Current State: 23:[29, 6], Operations: ['65+67=132', '132/22=6']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[29, 65, 22, 67], Operations: []
Exploring Operation: 65-29=36, Resulting Numbers: [22, 67, 36]
Generated Node #0,0: 23:[22, 67, 36] Operation: 65-29=36
Exploring Operation: 65-22=43, Resulting Numbers: [29, 67, 43]
Generated Node #0,1: 23:[29, 67, 43] Operation: 65-22=43
Exploring Operation: 67-29=38, Resulting Numbers: [65, 22, 38]
Generated Node #0,2: 23:[65, 22, 38] Operation: 67-29=38
Exploring Operation: 67-65=2, Resulting Numbers: [29, 22, 2]
Generated Node #0,3: 23:[29, 22, 2] Operation: 67-65=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 23:[29, 22, 2], Operations: ['67-65=2']
Exploring Operation: 29-2=27, Resulting Numbers: [22, 27]
Generated Node #0,3,0: 23:[22, 27] Operation: 29-2=27
Exploring Operation: 29+2=31, Resulting Numbers: [22, 31]
Generated Node #0,3,1: 23:[22, 31] Operation: 29+2=31
Exploring Operation: 22-2=20, Resulting Numbers: [29, 20]
Generated Node #0,3,2: 23:[29, 20] Operation: 22-2=20
Exploring Operation: 22+2=24, Resulting Numbers: [29, 24]
Generated Node #0,3,3: 23:[29, 24] Operation: 22+2=24
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 23:[22, 27], Operations: ['67-65=2', '29-2=27']
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Exploring Operation: 22*27=594, Resulting Numbers: [594]
594,23 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 23:[29, 24], Operations: ['67-65=2', '22+2=24']
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,23 unequal: No Solution
Exploring Operation: 29*24=696, Resulting Numbers: [696]
696,23 unequal: No Solution
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 23:[22, 31], Operations: ['67-65=2', '29+2=31']
Exploring Operation: 22*31=682, Resulting Numbers: [682]
682,23 unequal: No Solution
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 23:[29, 20], Operations: ['67-65=2', '22-2=20']
Exploring Operation: 29*20=580, Resulting Numbers: [580]
580,23 unequal: No Solution
Exploring Operation: 29+20=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[22, 67, 36], Operations: ['65-29=36']
Exploring Operation: 67-22=45, Resulting Numbers: [36, 45]
Generated Node #0,0,0: 23:[36, 45] Operation: 67-22=45
Exploring Operation: 22+67=89, Resulting Numbers: [36, 89]
Generated Node #0,0,1: 23:[36, 89] Operation: 22+67=89
Exploring Operation: 67-36=31, Resulting Numbers: [22, 31]
Generated Node #0,0,2: 23:[22, 31] Operation: 67-36=31
Exploring Operation: 36-22=14, Resulting Numbers: [67, 14]
Generated Node #0,0,3: 23:[67, 14] Operation: 36-22=14
Moving to Node #0,0,2
Current State: 23:[22, 31], Operations: ['65-29=36', '67-36=31']
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 22*31=682, Resulting Numbers: [682]
682,23 unequal: No Solution
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[36, 45], Operations: ['65-29=36', '67-22=45']
Exploring Operation: 36*45=1620, Resulting Numbers: [1620]
1620,23 unequal: No Solution
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 36+45=81, Resulting Numbers: [81]
81,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[67, 14], Operations: ['65-29=36', '36-22=14']
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,23 unequal: No Solution
Exploring Operation: 67*14=938, Resulting Numbers: [938]
938,23 unequal: No Solution
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[36, 89], Operations: ['65-29=36', '22+67=89']
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,23 unequal: No Solution
Exploring Operation: 36+89=125, Resulting Numbers: [125]
125,23 unequal: No Solution
Exploring Operation: 36*89=3204, Resulting Numbers: [3204]
3204,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[65, 22, 38], Operations: ['67-29=38']
Exploring Operation: 65-38=27, Resulting Numbers: [22, 27]
Generated Node #0,2,0: 23:[22, 27] Operation: 65-38=27
Exploring Operation: 65+22=87, Resulting Numbers: [38, 87]
Generated Node #0,2,1: 23:[38, 87] Operation: 65+22=87
Exploring Operation: 38-22=16, Resulting Numbers: [65, 16]
Generated Node #0,2,2: 23:[65, 16] Operation: 38-22=16
Exploring Operation: 65-22=43, Resulting Numbers: [38, 43]
Generated Node #0,2,3: 23:[38, 43] Operation: 65-22=43
Moving to Node #0,2,0
Current State: 23:[22, 27], Operations: ['67-29=38', '65-38=27']
Exploring Operation: 22*27=594, Resulting Numbers: [594]
594,23 unequal: No Solution
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Moving to Node #0,2,3
Current State: 23:[38, 43], Operations: ['67-29=38', '65-22=43']
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 38*43=1634, Resulting Numbers: [1634]
1634,23 unequal: No Solution
Exploring Operation: 38+43=81, Resulting Numbers: [81]
81,23 unequal: No Solution
Moving to Node #0,2,2
Current State: 23:[65, 16], Operations: ['67-29=38', '38-22=16']
Exploring Operation: 65*16=1040, Resulting Numbers: [1040]
1040,23 unequal: No Solution
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Exploring Operation: 65+16=81, Resulting Numbers: [81]
81,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[38, 87], Operations: ['67-29=38', '65+22=87']
Exploring Operation: 38+87=125, Resulting Numbers: [125]
125,23 unequal: No Solution
Exploring Operation: 38*87=3306, Resulting Numbers: [3306]
3306,23 unequal: No Solution
Exploring Operation: 87-38=49, Resulting Numbers: [49]
49,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[29, 67, 43], Operations: ['65-22=43']
Exploring Operation: 43-29=14, Resulting Numbers: [67, 14]
Generated Node #0,1,0: 23:[67, 14] Operation: 43-29=14
Exploring Operation: 67-29=38, Resulting Numbers: [43, 38]
Generated Node #0,1,1: 23:[43, 38] Operation: 67-29=38
Exploring Operation: 67-43=24, Resulting Numbers: [29, 24]
Generated Node #0,1,2: 23:[29, 24] Operation: 67-43=24
Exploring Operation: 29+67=96, Resulting Numbers: [43, 96]
Generated Node #0,1,3: 23:[43, 96] Operation: 29+67=96
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 23:[29, 24], Operations: ['65-22=43', '67-43=24']
Exploring Operation: 29*24=696, Resulting Numbers: [696]
696,23 unequal: No Solution
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,23 unequal: No Solution
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 23:[43, 38], Operations: ['65-22=43', '67-29=38']
Exploring Operation: 43*38=1634, Resulting Numbers: [1634]
1634,23 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 23:[67, 14], Operations: ['65-22=43', '43-29=14']
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,23 unequal: No Solution
Exploring Operation: 67*14=938, Resulting Numbers: [938]
938,23 unequal: No Solution
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 23:[43, 96], Operations: ['65-22=43', '29+67=96']
Exploring Operation: 43*96=4128, Resulting Numbers: [4128]
4128,23 unequal: No Solution
Exploring Operation: 43+96=139, Resulting Numbers: [139]
139,23 unequal: No Solution
Exploring Operation: 96-43=53, Resulting Numbers: [53]
53,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
89,
27,
8,
51
] | 19 | [
"89-27=62",
"51-8=43",
"62-43=19"
] | Current State: 19:[89, 27, 8, 51], Operations: []
Exploring Operation: 89-27=62, Resulting Numbers: [8, 51, 62]
Generated Node #2: [8, 51, 62] from Operation: 89-27=62
Current State: 19:[8, 51, 62], Operations: ['89-27=62']
Exploring Operation: 51-8=43, Resulting Numbers: [62, 43]
Generated Node #3: [62, 43] from Operation: 51-8=43
Current State: 19:[62, 43], Operations: ['89-27=62', '51-8=43']
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[89, 27, 8, 51], Operations: []
Exploring Operation: 89-51=38, Resulting Numbers: [27, 8, 38]
Generated Node #0,0: 19:[27, 8, 38] Operation: 89-51=38
Moving to Node #0,0
Current State: 19:[27, 8, 38], Operations: ['89-51=38']
Exploring Operation: 27-8=19, Resulting Numbers: [38, 19]
Generated Node #0,0,0: 19:[38, 19] Operation: 27-8=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[38, 19], Operations: ['89-51=38', '27-8=19']
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[89, 27, 8, 51], Operations: []
Exploring Operation: 89-51=38, Resulting Numbers: [27, 8, 38]
Generated Node #0,0: 19:[27, 8, 38] Operation: 89-51=38
Moving to Node #0,0
Current State: 19:[27, 8, 38], Operations: ['89-51=38']
Exploring Operation: 27-8=19, Resulting Numbers: [38, 19]
Generated Node #0,0,0: 19:[38, 19] Operation: 27-8=19
Moving to Node #0,0,0
Current State: 19:[38, 19], Operations: ['89-51=38', '27-8=19']
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
41,
76,
70,
45
] | 10 | [
"76-41=35",
"70-45=25",
"35-25=10"
] | Current State: 10:[41, 76, 70, 45], Operations: []
Exploring Operation: 76-41=35, Resulting Numbers: [70, 45, 35]
Generated Node #2: [70, 45, 35] from Operation: 76-41=35
Current State: 10:[70, 45, 35], Operations: ['76-41=35']
Exploring Operation: 70-45=25, Resulting Numbers: [35, 25]
Generated Node #3: [35, 25] from Operation: 70-45=25
Current State: 10:[35, 25], Operations: ['76-41=35', '70-45=25']
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[41, 76, 70, 45], Operations: []
Exploring Operation: 76-45=31, Resulting Numbers: [41, 70, 31]
Generated Node #0,0: 10:[41, 70, 31] Operation: 76-45=31
Exploring Operation: 70-45=25, Resulting Numbers: [41, 76, 25]
Generated Node #0,1: 10:[41, 76, 25] Operation: 70-45=25
Exploring Operation: 76-70=6, Resulting Numbers: [41, 45, 6]
Generated Node #0,2: 10:[41, 45, 6] Operation: 76-70=6
Moving to Node #0,2
Current State: 10:[41, 45, 6], Operations: ['76-70=6']
Exploring Operation: 45-41=4, Resulting Numbers: [6, 4]
Generated Node #0,2,0: 10:[6, 4] Operation: 45-41=4
Exploring Operation: 45-6=39, Resulting Numbers: [41, 39]
Generated Node #0,2,1: 10:[41, 39] Operation: 45-6=39
Exploring Operation: 41-6=35, Resulting Numbers: [45, 35]
Generated Node #0,2,2: 10:[45, 35] Operation: 41-6=35
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 10:[6, 4], Operations: ['76-70=6', '45-41=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,10 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[41, 76, 70, 45], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [41, 45, 6]
Generated Node #0,2: 10:[41, 45, 6] Operation: 76-70=6
Moving to Node #0,2
Current State: 10:[41, 45, 6], Operations: ['76-70=6']
Exploring Operation: 45-41=4, Resulting Numbers: [6, 4]
Generated Node #0,2,0: 10:[6, 4] Operation: 45-41=4
Moving to Node #0,2,0
Current State: 10:[6, 4], Operations: ['76-70=6', '45-41=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
77,
84,
6,
65
] | 42 | [
"77-65=12",
"84*6=504",
"504/12=42"
] | Current State: 42:[77, 84, 6, 65], Operations: []
Exploring Operation: 77-65=12, Resulting Numbers: [84, 6, 12]
Generated Node #2: [84, 6, 12] from Operation: 77-65=12
Current State: 42:[84, 6, 12], Operations: ['77-65=12']
Exploring Operation: 84*6=504, Resulting Numbers: [12, 504]
Generated Node #3: [12, 504] from Operation: 84*6=504
Current State: 42:[12, 504], Operations: ['77-65=12', '84*6=504']
Exploring Operation: 504/12=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[77, 84, 6, 65], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [77, 6, 19]
Generated Node #0,0: 42:[77, 6, 19] Operation: 84-65=19
Exploring Operation: 84-77=7, Resulting Numbers: [6, 65, 7]
Generated Node #0,1: 42:[6, 65, 7] Operation: 84-77=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[6, 65, 7], Operations: ['84-77=7']
Exploring Operation: 65-7=58, Resulting Numbers: [6, 58]
Generated Node #0,1,0: 42:[6, 58] Operation: 65-7=58
Exploring Operation: 65-6=59, Resulting Numbers: [7, 59]
Generated Node #0,1,1: 42:[7, 59] Operation: 65-6=59
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 42:[6, 58], Operations: ['84-77=7', '65-7=58']
Exploring Operation: 6+58=64, Resulting Numbers: [64]
64,42 unequal: No Solution
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 42:[7, 59], Operations: ['84-77=7', '65-6=59']
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,42 unequal: No Solution
Exploring Operation: 7+59=66, Resulting Numbers: [66]
66,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[77, 6, 19], Operations: ['84-65=19']
Exploring Operation: 77-6=71, Resulting Numbers: [19, 71]
Generated Node #0,0,0: 42:[19, 71] Operation: 77-6=71
Exploring Operation: 77-19=58, Resulting Numbers: [6, 58]
Generated Node #0,0,1: 42:[6, 58] Operation: 77-19=58
Moving to Node #0,0,1
Current State: 42:[6, 58], Operations: ['84-65=19', '77-19=58']
Exploring Operation: 6+58=64, Resulting Numbers: [64]
64,42 unequal: No Solution
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[19, 71], Operations: ['84-65=19', '77-6=71']
Exploring Operation: 19+71=90, Resulting Numbers: [90]
90,42 unequal: No Solution
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
18,
25,
34,
4
] | 89 | [
"34-18=16",
"4*16=64",
"25+64=89"
] | Current State: 89:[18, 25, 34, 4], Operations: []
Exploring Operation: 34-18=16, Resulting Numbers: [25, 4, 16]
Generated Node #2: [25, 4, 16] from Operation: 34-18=16
Current State: 89:[25, 4, 16], Operations: ['34-18=16']
Exploring Operation: 4*16=64, Resulting Numbers: [25, 64]
Generated Node #3: [25, 64] from Operation: 4*16=64
Current State: 89:[25, 64], Operations: ['34-18=16', '4*16=64']
Exploring Operation: 25+64=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[18, 25, 34, 4], Operations: []
Exploring Operation: 18*4=72, Resulting Numbers: [25, 34, 72]
Generated Node #0,0: 89:[25, 34, 72] Operation: 18*4=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[25, 34, 72], Operations: ['18*4=72']
Exploring Operation: 25+34=59, Resulting Numbers: [72, 59]
Generated Node #0,0,0: 89:[72, 59] Operation: 25+34=59
Moving to Node #0,0,0
Current State: 89:[72, 59], Operations: ['18*4=72', '25+34=59']
Exploring Operation: 72+59=131, Resulting Numbers: [131]
131,89 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 |
[
90,
66,
43,
18
] | 85 | [
"90-66=24",
"43+18=61",
"24+61=85"
] | Current State: 85:[90, 66, 43, 18], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [43, 18, 24]
Generated Node #2: [43, 18, 24] from Operation: 90-66=24
Current State: 85:[43, 18, 24], Operations: ['90-66=24']
Exploring Operation: 43+18=61, Resulting Numbers: [24, 61]
Generated Node #3: [24, 61] from Operation: 43+18=61
Current State: 85:[24, 61], Operations: ['90-66=24', '43+18=61']
Exploring Operation: 24+61=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[90, 66, 43, 18], Operations: []
Exploring Operation: 66-43=23, Resulting Numbers: [90, 18, 23]
Generated Node #0,0: 85:[90, 18, 23] Operation: 66-43=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[90, 18, 23], Operations: ['66-43=23']
Exploring Operation: 23-18=5, Resulting Numbers: [90, 5]
Generated Node #0,0,0: 85:[90, 5] Operation: 23-18=5
Moving to Node #0,0,0
Current State: 85:[90, 5], Operations: ['66-43=23', '23-18=5']
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[90, 66, 43, 18], Operations: []
Exploring Operation: 66-43=23, Resulting Numbers: [90, 18, 23]
Generated Node #0,0: 85:[90, 18, 23] Operation: 66-43=23
Moving to Node #0,0
Current State: 85:[90, 18, 23], Operations: ['66-43=23']
Exploring Operation: 23-18=5, Resulting Numbers: [90, 5]
Generated Node #0,0,0: 85:[90, 5] Operation: 23-18=5
Moving to Node #0,0,0
Current State: 85:[90, 5], Operations: ['66-43=23', '23-18=5']
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
13,
17,
50,
28
] | 23 | [
"50+28=78",
"78/13=6",
"17+6=23"
] | Current State: 23:[13, 17, 50, 28], Operations: []
Exploring Operation: 50+28=78, Resulting Numbers: [13, 17, 78]
Generated Node #2: [13, 17, 78] from Operation: 50+28=78
Current State: 23:[13, 17, 78], Operations: ['50+28=78']
Exploring Operation: 78/13=6, Resulting Numbers: [17, 6]
Generated Node #3: [17, 6] from Operation: 78/13=6
Current State: 23:[17, 6], Operations: ['50+28=78', '78/13=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[13, 17, 50, 28], Operations: []
Exploring Operation: 28-13=15, Resulting Numbers: [17, 50, 15]
Generated Node #0,0: 23:[17, 50, 15] Operation: 28-13=15
Exploring Operation: 50-13=37, Resulting Numbers: [17, 28, 37]
Generated Node #0,1: 23:[17, 28, 37] Operation: 50-13=37
Exploring Operation: 50-17=33, Resulting Numbers: [13, 28, 33]
Generated Node #0,2: 23:[13, 28, 33] Operation: 50-17=33
Exploring Operation: 13+17=30, Resulting Numbers: [50, 28, 30]
Generated Node #0,3: 23:[50, 28, 30] Operation: 13+17=30
Exploring Operation: 50-28=22, Resulting Numbers: [13, 17, 22]
Generated Node #0,4: 23:[13, 17, 22] Operation: 50-28=22
Moving to Node #0,4
Current State: 23:[13, 17, 22], Operations: ['50-28=22']
Exploring Operation: 13+22=35, Resulting Numbers: [17, 35]
Generated Node #0,4,0: 23:[17, 35] Operation: 13+22=35
Exploring Operation: 17-13=4, Resulting Numbers: [22, 4]
Generated Node #0,4,1: 23:[22, 4] Operation: 17-13=4
Exploring Operation: 17+22=39, Resulting Numbers: [13, 39]
Generated Node #0,4,2: 23:[13, 39] Operation: 17+22=39
Exploring Operation: 22-13=9, Resulting Numbers: [17, 9]
Generated Node #0,4,3: 23:[17, 9] Operation: 22-13=9
Exploring Operation: 13+17=30, Resulting Numbers: [22, 30]
Generated Node #0,4,4: 23:[22, 30] Operation: 13+17=30
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 23:[22, 30], Operations: ['50-28=22', '13+17=30']
Exploring Operation: 22*30=660, Resulting Numbers: [660]
660,23 unequal: No Solution
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,23 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 #0,4,0
Current State: 23:[17, 35], Operations: ['50-28=22', '13+22=35']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 17+35=52, Resulting Numbers: [52]
52,23 unequal: No Solution
Exploring Operation: 17*35=595, Resulting Numbers: [595]
595,23 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 #0,4,1
Current State: 23:[22, 4], Operations: ['50-28=22', '17-13=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,23 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,23 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 #0,4,3
Current State: 23:[17, 9], Operations: ['50-28=22', '22-13=9']
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,23 unequal: No Solution
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,23 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 #0,4,2
Current State: 23:[13, 39], Operations: ['50-28=22', '17+22=39']
Exploring Operation: 13*39=507, Resulting Numbers: [507]
507,23 unequal: No Solution
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,23 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,23 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: 23:[13, 28, 33], Operations: ['50-17=33']
Exploring Operation: 13+33=46, Resulting Numbers: [28, 46]
Generated Node #0,2,0: 23:[28, 46] Operation: 13+33=46
Exploring Operation: 28-13=15, Resulting Numbers: [33, 15]
Generated Node #0,2,1: 23:[33, 15] Operation: 28-13=15
Exploring Operation: 33-28=5, Resulting Numbers: [13, 5]
Generated Node #0,2,2: 23:[13, 5] Operation: 33-28=5
Exploring Operation: 33-13=20, Resulting Numbers: [28, 20]
Generated Node #0,2,3: 23:[28, 20] Operation: 33-13=20
Exploring Operation: 13+28=41, Resulting Numbers: [33, 41]
Generated Node #0,2,4: 23:[33, 41] Operation: 13+28=41
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 23:[28, 20], Operations: ['50-17=33', '33-13=20']
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 23:[33, 15], Operations: ['50-17=33', '28-13=15']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,23 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:[28, 46], Operations: ['50-17=33', '13+33=46']
Exploring Operation: 28+46=74, Resulting Numbers: [74]
74,23 unequal: No Solution
Exploring Operation: 28*46=1288, Resulting Numbers: [1288]
1288,23 unequal: No Solution
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,23 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:[13, 5], Operations: ['50-17=33', '33-28=5']
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,23 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 #0,2,4
Current State: 23:[33, 41], Operations: ['50-17=33', '13+28=41']
Exploring Operation: 41-33=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 33*41=1353, Resulting Numbers: [1353]
1353,23 unequal: No Solution
Exploring Operation: 33+41=74, Resulting Numbers: [74]
74,23 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:[17, 28, 37], Operations: ['50-13=37']
Exploring Operation: 17+37=54, Resulting Numbers: [28, 54]
Generated Node #0,1,0: 23:[28, 54] Operation: 17+37=54
Exploring Operation: 17+28=45, Resulting Numbers: [37, 45]
Generated Node #0,1,1: 23:[37, 45] Operation: 17+28=45
Exploring Operation: 37-17=20, Resulting Numbers: [28, 20]
Generated Node #0,1,2: 23:[28, 20] Operation: 37-17=20
Exploring Operation: 28-17=11, Resulting Numbers: [37, 11]
Generated Node #0,1,3: 23:[37, 11] Operation: 28-17=11
Exploring Operation: 37-28=9, Resulting Numbers: [17, 9]
Generated Node #0,1,4: 23:[17, 9] Operation: 37-28=9
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 23:[28, 20], Operations: ['50-13=37', '37-17=20']
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,23 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 #0,1,4
Current State: 23:[17, 9], Operations: ['50-13=37', '37-28=9']
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,23 unequal: No Solution
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,23 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 #0,1,3
Current State: 23:[37, 11], Operations: ['50-13=37', '28-17=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,23 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:[28, 54], Operations: ['50-13=37', '17+37=54']
Exploring Operation: 28*54=1512, Resulting Numbers: [1512]
1512,23 unequal: No Solution
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,23 unequal: No Solution
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,23 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 #0,1,1
Current State: 23:[37, 45], Operations: ['50-13=37', '17+28=45']
Exploring Operation: 37*45=1665, Resulting Numbers: [1665]
1665,23 unequal: No Solution
Exploring Operation: 37+45=82, Resulting Numbers: [82]
82,23 unequal: No Solution
Exploring Operation: 45-37=8, Resulting Numbers: [8]
8,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 23:[50, 28, 30], Operations: ['13+17=30']
Exploring Operation: 30-28=2, Resulting Numbers: [50, 2]
Generated Node #0,3,0: 23:[50, 2] Operation: 30-28=2
Exploring Operation: 50+28=78, Resulting Numbers: [30, 78]
Generated Node #0,3,1: 23:[30, 78] Operation: 50+28=78
Exploring Operation: 50+30=80, Resulting Numbers: [28, 80]
Generated Node #0,3,2: 23:[28, 80] Operation: 50+30=80
Exploring Operation: 50-30=20, Resulting Numbers: [28, 20]
Generated Node #0,3,3: 23:[28, 20] Operation: 50-30=20
Exploring Operation: 50-28=22, Resulting Numbers: [30, 22]
Generated Node #0,3,4: 23:[30, 22] Operation: 50-28=22
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 23:[28, 20], Operations: ['13+17=30', '50-30=20']
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 23:[30, 22], Operations: ['13+17=30', '50-28=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,23 unequal: No Solution
Exploring Operation: 30*22=660, Resulting Numbers: [660]
660,23 unequal: No Solution
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 23:[50, 2], Operations: ['13+17=30', '30-28=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,23 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 23:[30, 78], Operations: ['13+17=30', '50+28=78']
Exploring Operation: 78-30=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 30+78=108, Resulting Numbers: [108]
108,23 unequal: No Solution
Exploring Operation: 30*78=2340, Resulting Numbers: [2340]
2340,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 23:[28, 80], Operations: ['13+17=30', '50+30=80']
Exploring Operation: 28*80=2240, Resulting Numbers: [2240]
2240,23 unequal: No Solution
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,23 unequal: No Solution
Exploring Operation: 28+80=108, Resulting Numbers: [108]
108,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 23:[17, 50, 15], Operations: ['28-13=15']
Exploring Operation: 50-17=33, Resulting Numbers: [15, 33]
Generated Node #0,0,0: 23:[15, 33] Operation: 50-17=33
Exploring Operation: 17+15=32, Resulting Numbers: [50, 32]
Generated Node #0,0,1: 23:[50, 32] Operation: 17+15=32
Exploring Operation: 17-15=2, Resulting Numbers: [50, 2]
Generated Node #0,0,2: 23:[50, 2] Operation: 17-15=2
Exploring Operation: 50+15=65, Resulting Numbers: [17, 65]
Generated Node #0,0,3: 23:[17, 65] Operation: 50+15=65
Exploring Operation: 50-15=35, Resulting Numbers: [17, 35]
Generated Node #0,0,4: 23:[17, 35] Operation: 50-15=35
Moving to Node #0,0,0
Current State: 23:[15, 33], Operations: ['28-13=15', '50-17=33']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 15+33=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 15*33=495, Resulting Numbers: [495]
495,23 unequal: No Solution
Moving to Node #0,0,4
Current State: 23:[17, 35], Operations: ['28-13=15', '50-15=35']
Exploring Operation: 17+35=52, Resulting Numbers: [52]
52,23 unequal: No Solution
Exploring Operation: 17*35=595, Resulting Numbers: [595]
595,23 unequal: No Solution
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[50, 32], Operations: ['28-13=15', '17+15=32']
Exploring Operation: 50+32=82, Resulting Numbers: [82]
82,23 unequal: No Solution
Exploring Operation: 50*32=1600, Resulting Numbers: [1600]
1600,23 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[50, 2], Operations: ['28-13=15', '17-15=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,23 unequal: No Solution
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,23 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[17, 65], Operations: ['28-13=15', '50+15=65']
Exploring Operation: 65-17=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 17+65=82, Resulting Numbers: [82]
82,23 unequal: No Solution
Exploring Operation: 17*65=1105, Resulting Numbers: [1105]
1105,23 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
9,
4,
38,
47
] | 85 | [
"47-38=9",
"9*9=81",
"4+81=85"
] | Current State: 85:[9, 4, 38, 47], Operations: []
Exploring Operation: 47-38=9, Resulting Numbers: [9, 4, 9]
Generated Node #2: [9, 4, 9] from Operation: 47-38=9
Current State: 85:[9, 4, 9], Operations: ['47-38=9']
Exploring Operation: 9*9=81, Resulting Numbers: [4, 81]
Generated Node #3: [4, 81] from Operation: 9*9=81
Current State: 85:[4, 81], Operations: ['47-38=9', '9*9=81']
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[9, 4, 38, 47], Operations: []
Exploring Operation: 38-9=29, Resulting Numbers: [4, 47, 29]
Generated Node #0,0: 85:[4, 47, 29] Operation: 38-9=29
Exploring Operation: 38+47=85, Resulting Numbers: [9, 4, 85]
Generated Node #0,1: 85:[9, 4, 85] Operation: 38+47=85
Exploring Operation: 47-38=9, Resulting Numbers: [9, 4, 9]
Generated Node #0,2: 85:[9, 4, 9] Operation: 47-38=9
Exploring Operation: 47-9=38, Resulting Numbers: [4, 38, 38]
Generated Node #0,3: 85:[4, 38, 38] Operation: 47-9=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[9, 4, 85], Operations: ['38+47=85']
Exploring Operation: 85-4=81, Resulting Numbers: [9, 81]
Generated Node #0,1,0: 85:[9, 81] Operation: 85-4=81
Exploring Operation: 9+4=13, Resulting Numbers: [85, 13]
Generated Node #0,1,1: 85:[85, 13] Operation: 9+4=13
Exploring Operation: 9-4=5, Resulting Numbers: [85, 5]
Generated Node #0,1,2: 85:[85, 5] Operation: 9-4=5
Exploring Operation: 4+85=89, Resulting Numbers: [9, 89]
Generated Node #0,1,3: 85:[9, 89] Operation: 4+85=89
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 85:[85, 5], Operations: ['38+47=85', '9-4=5']
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Exploring Operation: 85*5=425, Resulting Numbers: [425]
425,85 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,85 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 85:[85, 13], Operations: ['38+47=85', '9+4=13']
Exploring Operation: 85*13=1105, Resulting Numbers: [1105]
1105,85 unequal: No Solution
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,85 unequal: No Solution
Exploring Operation: 85+13=98, Resulting Numbers: [98]
98,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[9, 81], Operations: ['38+47=85', '85-4=81']
Exploring Operation: 9+81=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,85 unequal: No Solution
Exploring Operation: 9*81=729, Resulting Numbers: [729]
729,85 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 85:[9, 89], Operations: ['38+47=85', '4+85=89']
Exploring Operation: 9*89=801, Resulting Numbers: [801]
801,85 unequal: No Solution
Exploring Operation: 9+89=98, Resulting Numbers: [98]
98,85 unequal: No Solution
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[9, 4, 9], Operations: ['47-38=9']
Exploring Operation: 9-4=5, Resulting Numbers: [9, 5]
Generated Node #0,2,0: 85:[9, 5] Operation: 9-4=5
Exploring Operation: 9*9=81, Resulting Numbers: [4, 81]
Generated Node #0,2,1: 85:[4, 81] Operation: 9*9=81
Exploring Operation: 9-4=5, Resulting Numbers: [9, 5]
Generated Node #0,2,2: 85:[9, 5] Operation: 9-4=5
Exploring Operation: 9+9=18, Resulting Numbers: [4, 18]
Generated Node #0,2,3: 85:[4, 18] Operation: 9+9=18
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 85:[4, 18], Operations: ['47-38=9', '9+9=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,85 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,85 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 85:[9, 5], Operations: ['47-38=9', '9-4=5']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,85 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 85:[9, 5], Operations: ['47-38=9', '9-4=5']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,85 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 85:[4, 81], Operations: ['47-38=9', '9*9=81']
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[9, 4, 38, 47], Operations: []
Exploring Operation: 47-38=9, Resulting Numbers: [9, 4, 9]
Generated Node #0,2: 85:[9, 4, 9] Operation: 47-38=9
Moving to Node #0,2
Current State: 85:[9, 4, 9], Operations: ['47-38=9']
Exploring Operation: 9*9=81, Resulting Numbers: [4, 81]
Generated Node #0,2,1: 85:[4, 81] Operation: 9*9=81
Moving to Node #0,2,1
Current State: 85:[4, 81], Operations: ['47-38=9', '9*9=81']
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.965278 | hs_4 | sum_heuristic |
[
7,
85,
74,
61
] | 91 | [
"85-7=78",
"74-61=13",
"78+13=91"
] | Current State: 91:[7, 85, 74, 61], Operations: []
Exploring Operation: 85-7=78, Resulting Numbers: [74, 61, 78]
Generated Node #2: [74, 61, 78] from Operation: 85-7=78
Current State: 91:[74, 61, 78], Operations: ['85-7=78']
Exploring Operation: 74-61=13, Resulting Numbers: [78, 13]
Generated Node #3: [78, 13] from Operation: 74-61=13
Current State: 91:[78, 13], Operations: ['85-7=78', '74-61=13']
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[7, 85, 74, 61], Operations: []
Exploring Operation: 74-61=13, Resulting Numbers: [7, 85, 13]
Generated Node #0,0: 91:[7, 85, 13] Operation: 74-61=13
Exploring Operation: 85-61=24, Resulting Numbers: [7, 74, 24]
Generated Node #0,1: 91:[7, 74, 24] Operation: 85-61=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[7, 85, 13], Operations: ['74-61=13']
Exploring Operation: 7*13=91, Resulting Numbers: [85, 91]
Generated Node #0,0,0: 91:[85, 91] Operation: 7*13=91
Exploring Operation: 7+85=92, Resulting Numbers: [13, 92]
Generated Node #0,0,1: 91:[13, 92] Operation: 7+85=92
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[13, 92], Operations: ['74-61=13', '7+85=92']
Exploring Operation: 13+92=105, Resulting Numbers: [105]
105,91 unequal: No Solution
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,91 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 #0,0,0
Current State: 91:[85, 91], Operations: ['74-61=13', '7*13=91']
Exploring Operation: 91-85=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 85+91=176, Resulting Numbers: [176]
176,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[7, 74, 24], Operations: ['85-61=24']
Exploring Operation: 74+24=98, Resulting Numbers: [7, 98]
Generated Node #0,1,0: 91:[7, 98] Operation: 74+24=98
Exploring Operation: 7+74=81, Resulting Numbers: [24, 81]
Generated Node #0,1,1: 91:[24, 81] Operation: 7+74=81
Moving to Node #0,1,0
Current State: 91:[7, 98], Operations: ['85-61=24', '74+24=98']
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Exploring Operation: 98-7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[7, 85, 74, 61], Operations: []
Exploring Operation: 85-61=24, Resulting Numbers: [7, 74, 24]
Generated Node #0,1: 91:[7, 74, 24] Operation: 85-61=24
Moving to Node #0,1
Current State: 91:[7, 74, 24], Operations: ['85-61=24']
Exploring Operation: 74+24=98, Resulting Numbers: [7, 98]
Generated Node #0,1,0: 91:[7, 98] Operation: 74+24=98
Moving to Node #0,1,0
Current State: 91:[7, 98], Operations: ['85-61=24', '74+24=98']
Exploring Operation: 98-7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
56,
1,
27,
46
] | 92 | [
"56*46=2576",
"1+27=28",
"2576/28=92"
] | Current State: 92:[56, 1, 27, 46], Operations: []
Exploring Operation: 56*46=2576, Resulting Numbers: [1, 27, 2576]
Generated Node #2: [1, 27, 2576] from Operation: 56*46=2576
Current State: 92:[1, 27, 2576], Operations: ['56*46=2576']
Exploring Operation: 1+27=28, Resulting Numbers: [2576, 28]
Generated Node #3: [2576, 28] from Operation: 1+27=28
Current State: 92:[2576, 28], Operations: ['56*46=2576', '1+27=28']
Exploring Operation: 2576/28=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[56, 1, 27, 46], Operations: []
Exploring Operation: 27-1=26, Resulting Numbers: [56, 46, 26]
Generated Node #0,0: 92:[56, 46, 26] Operation: 27-1=26
Exploring Operation: 56-1=55, Resulting Numbers: [27, 46, 55]
Generated Node #0,1: 92:[27, 46, 55] Operation: 56-1=55
Exploring Operation: 56+27=83, Resulting Numbers: [1, 46, 83]
Generated Node #0,2: 92:[1, 46, 83] Operation: 56+27=83
Exploring Operation: 56-46=10, Resulting Numbers: [1, 27, 10]
Generated Node #0,3: 92:[1, 27, 10] Operation: 56-46=10
Exploring Operation: 56-27=29, Resulting Numbers: [1, 46, 29]
Generated Node #0,4: 92:[1, 46, 29] Operation: 56-27=29
Start Sub Search at level 1: Moving to Node #0,4
Current State: 92:[1, 46, 29], Operations: ['56-27=29']
Exploring Operation: 29-1=28, Resulting Numbers: [46, 28]
Generated Node #0,4,0: 92:[46, 28] Operation: 29-1=28
Exploring Operation: 1*29=29, Resulting Numbers: [46, 29]
Generated Node #0,4,1: 92:[46, 29] Operation: 1*29=29
Exploring Operation: 29/1=29, Resulting Numbers: [46, 29]
Generated Node #0,4,2: 92:[46, 29] Operation: 29/1=29
Exploring Operation: 46/1=46, Resulting Numbers: [29, 46]
Generated Node #0,4,3: 92:[29, 46] Operation: 46/1=46
Exploring Operation: 1*46=46, Resulting Numbers: [29, 46]
Generated Node #0,4,4: 92:[29, 46] Operation: 1*46=46
Moving to Node #0,4,0
Current State: 92:[46, 28], Operations: ['56-27=29', '29-1=28']
Exploring Operation: 46*28=1288, Resulting Numbers: [1288]
1288,92 unequal: No Solution
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,92 unequal: No Solution
Moving to Node #0,4,2
Current State: 92:[46, 29], Operations: ['56-27=29', '29/1=29']
Exploring Operation: 46+29=75, Resulting Numbers: [75]
75,92 unequal: No Solution
Exploring Operation: 46*29=1334, Resulting Numbers: [1334]
1334,92 unequal: No Solution
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Moving to Node #0,4,4
Current State: 92:[29, 46], Operations: ['56-27=29', '1*46=46']
Exploring Operation: 29+46=75, Resulting Numbers: [75]
75,92 unequal: No Solution
Exploring Operation: 29*46=1334, Resulting Numbers: [1334]
1334,92 unequal: No Solution
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Moving to Node #0,4,1
Current State: 92:[46, 29], Operations: ['56-27=29', '1*29=29']
Exploring Operation: 46*29=1334, Resulting Numbers: [1334]
1334,92 unequal: No Solution
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 46+29=75, Resulting Numbers: [75]
75,92 unequal: No Solution
Moving to Node #0,4,3
Current State: 92:[29, 46], Operations: ['56-27=29', '46/1=46']
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 29*46=1334, Resulting Numbers: [1334]
1334,92 unequal: No Solution
Exploring Operation: 29+46=75, Resulting Numbers: [75]
75,92 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 #0,2
Current State: 92:[1, 46, 83], Operations: ['56+27=83']
Exploring Operation: 1+83=84, Resulting Numbers: [46, 84]
Generated Node #0,2,0: 92:[46, 84] Operation: 1+83=84
Exploring Operation: 46/1=46, Resulting Numbers: [83, 46]
Generated Node #0,2,1: 92:[83, 46] Operation: 46/1=46
Exploring Operation: 1*46=46, Resulting Numbers: [83, 46]
Generated Node #0,2,2: 92:[83, 46] Operation: 1*46=46
Exploring Operation: 83/1=83, Resulting Numbers: [46, 83]
Generated Node #0,2,3: 92:[46, 83] Operation: 83/1=83
Exploring Operation: 1*83=83, Resulting Numbers: [46, 83]
Generated Node #0,2,4: 92:[46, 83] Operation: 1*83=83
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[46, 84], Operations: ['56+27=83', '1+83=84']
Exploring Operation: 84-46=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 46+84=130, Resulting Numbers: [130]
130,92 unequal: No Solution
Exploring Operation: 46*84=3864, Resulting Numbers: [3864]
3864,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 92:[83, 46], Operations: ['56+27=83', '46/1=46']
Exploring Operation: 83-46=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 83*46=3818, Resulting Numbers: [3818]
3818,92 unequal: No Solution
Exploring Operation: 83+46=129, Resulting Numbers: [129]
129,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[83, 46], Operations: ['56+27=83', '1*46=46']
Exploring Operation: 83+46=129, Resulting Numbers: [129]
129,92 unequal: No Solution
Exploring Operation: 83-46=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 83*46=3818, Resulting Numbers: [3818]
3818,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 92:[46, 83], Operations: ['56+27=83', '83/1=83']
Exploring Operation: 83-46=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 46+83=129, Resulting Numbers: [129]
129,92 unequal: No Solution
Exploring Operation: 46*83=3818, Resulting Numbers: [3818]
3818,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 92:[46, 83], Operations: ['56+27=83', '1*83=83']
Exploring Operation: 46*83=3818, Resulting Numbers: [3818]
3818,92 unequal: No Solution
Exploring Operation: 83-46=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 46+83=129, Resulting Numbers: [129]
129,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[1, 27, 10], Operations: ['56-46=10']
Exploring Operation: 10-1=9, Resulting Numbers: [27, 9]
Generated Node #0,3,0: 92:[27, 9] Operation: 10-1=9
Exploring Operation: 27-10=17, Resulting Numbers: [1, 17]
Generated Node #0,3,1: 92:[1, 17] Operation: 27-10=17
Exploring Operation: 27-1=26, Resulting Numbers: [10, 26]
Generated Node #0,3,2: 92:[10, 26] Operation: 27-1=26
Exploring Operation: 27/1=27, Resulting Numbers: [10, 27]
Generated Node #0,3,3: 92:[10, 27] Operation: 27/1=27
Exploring Operation: 1*27=27, Resulting Numbers: [10, 27]
Generated Node #0,3,4: 92:[10, 27] Operation: 1*27=27
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 92:[1, 17], Operations: ['56-46=10', '27-10=17']
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 92:[27, 9], Operations: ['56-46=10', '10-1=9']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,92 unequal: No Solution
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 92:[10, 26], Operations: ['56-46=10', '27-1=26']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 10*26=260, Resulting Numbers: [260]
260,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 92:[10, 27], Operations: ['56-46=10', '27/1=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 92:[10, 27], Operations: ['56-46=10', '1*27=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[56, 46, 26], Operations: ['27-1=26']
Exploring Operation: 56-46=10, Resulting Numbers: [26, 10]
Generated Node #0,0,0: 92:[26, 10] Operation: 56-46=10
Exploring Operation: 56-26=30, Resulting Numbers: [46, 30]
Generated Node #0,0,1: 92:[46, 30] Operation: 56-26=30
Exploring Operation: 56+46=102, Resulting Numbers: [26, 102]
Generated Node #0,0,2: 92:[26, 102] Operation: 56+46=102
Exploring Operation: 46-26=20, Resulting Numbers: [56, 20]
Generated Node #0,0,3: 92:[56, 20] Operation: 46-26=20
Exploring Operation: 56+26=82, Resulting Numbers: [46, 82]
Generated Node #0,0,4: 92:[46, 82] Operation: 56+26=82
Moving to Node #0,0,1
Current State: 92:[46, 30], Operations: ['27-1=26', '56-26=30']
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Exploring Operation: 46*30=1380, Resulting Numbers: [1380]
1380,92 unequal: No Solution
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[26, 10], Operations: ['27-1=26', '56-46=10']
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,92 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Moving to Node #0,0,4
Current State: 92:[46, 82], Operations: ['27-1=26', '56+26=82']
Exploring Operation: 82-46=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 46*82=3772, Resulting Numbers: [3772]
3772,92 unequal: No Solution
Exploring Operation: 46+82=128, Resulting Numbers: [128]
128,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[26, 102], Operations: ['27-1=26', '56+46=102']
Exploring Operation: 26+102=128, Resulting Numbers: [128]
128,92 unequal: No Solution
Exploring Operation: 26*102=2652, Resulting Numbers: [2652]
2652,92 unequal: No Solution
Exploring Operation: 102-26=76, Resulting Numbers: [76]
76,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[56, 20], Operations: ['27-1=26', '46-26=20']
Exploring Operation: 56*20=1120, Resulting Numbers: [1120]
1120,92 unequal: No Solution
Exploring Operation: 56-20=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 56+20=76, Resulting Numbers: [76]
76,92 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 #0,1
Current State: 92:[27, 46, 55], Operations: ['56-1=55']
Exploring Operation: 55-46=9, Resulting Numbers: [27, 9]
Generated Node #0,1,0: 92:[27, 9] Operation: 55-46=9
Exploring Operation: 55-27=28, Resulting Numbers: [46, 28]
Generated Node #0,1,1: 92:[46, 28] Operation: 55-27=28
Exploring Operation: 27+55=82, Resulting Numbers: [46, 82]
Generated Node #0,1,2: 92:[46, 82] Operation: 27+55=82
Exploring Operation: 46+55=101, Resulting Numbers: [27, 101]
Generated Node #0,1,3: 92:[27, 101] Operation: 46+55=101
Exploring Operation: 46-27=19, Resulting Numbers: [55, 19]
Generated Node #0,1,4: 92:[55, 19] Operation: 46-27=19
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[46, 28], Operations: ['56-1=55', '55-27=28']
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 46*28=1288, Resulting Numbers: [1288]
1288,92 unequal: No Solution
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[27, 9], Operations: ['56-1=55', '55-46=9']
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,92 unequal: No Solution
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 92:[46, 82], Operations: ['56-1=55', '27+55=82']
Exploring Operation: 82-46=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 46+82=128, Resulting Numbers: [128]
128,92 unequal: No Solution
Exploring Operation: 46*82=3772, Resulting Numbers: [3772]
3772,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 92:[27, 101], Operations: ['56-1=55', '46+55=101']
Exploring Operation: 101-27=74, Resulting Numbers: [74]
74,92 unequal: No Solution
Exploring Operation: 27+101=128, Resulting Numbers: [128]
128,92 unequal: No Solution
Exploring Operation: 27*101=2727, Resulting Numbers: [2727]
2727,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 92:[55, 19], Operations: ['56-1=55', '46-27=19']
Exploring Operation: 55*19=1045, Resulting Numbers: [1045]
1045,92 unequal: No Solution
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 55+19=74, Resulting Numbers: [74]
74,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
67,
85,
45,
19
] | 46 | [
"85-67=18",
"45+19=64",
"64-18=46"
] | Current State: 46:[67, 85, 45, 19], Operations: []
Exploring Operation: 85-67=18, Resulting Numbers: [45, 19, 18]
Generated Node #2: [45, 19, 18] from Operation: 85-67=18
Current State: 46:[45, 19, 18], Operations: ['85-67=18']
Exploring Operation: 45+19=64, Resulting Numbers: [18, 64]
Generated Node #3: [18, 64] from Operation: 45+19=64
Current State: 46:[18, 64], Operations: ['85-67=18', '45+19=64']
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[67, 85, 45, 19], Operations: []
Exploring Operation: 85-19=66, Resulting Numbers: [67, 45, 66]
Generated Node #0,0: 46:[67, 45, 66] Operation: 85-19=66
Exploring Operation: 67-19=48, Resulting Numbers: [85, 45, 48]
Generated Node #0,1: 46:[85, 45, 48] Operation: 67-19=48
Exploring Operation: 85-67=18, Resulting Numbers: [45, 19, 18]
Generated Node #0,2: 46:[45, 19, 18] Operation: 85-67=18
Exploring Operation: 85-45=40, Resulting Numbers: [67, 19, 40]
Generated Node #0,3: 46:[67, 19, 40] Operation: 85-45=40
Moving to Node #0,2
Current State: 46:[45, 19, 18], Operations: ['85-67=18']
Exploring Operation: 19-18=1, Resulting Numbers: [45, 1]
Generated Node #0,2,0: 46:[45, 1] Operation: 19-18=1
Exploring Operation: 45-18=27, Resulting Numbers: [19, 27]
Generated Node #0,2,1: 46:[19, 27] Operation: 45-18=27
Exploring Operation: 45-19=26, Resulting Numbers: [18, 26]
Generated Node #0,2,2: 46:[18, 26] Operation: 45-19=26
Exploring Operation: 19+18=37, Resulting Numbers: [45, 37]
Generated Node #0,2,3: 46:[45, 37] Operation: 19+18=37
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 46:[45, 1], Operations: ['85-67=18', '19-18=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[67, 85, 45, 19], Operations: []
Exploring Operation: 85-67=18, Resulting Numbers: [45, 19, 18]
Generated Node #0,2: 46:[45, 19, 18] Operation: 85-67=18
Moving to Node #0,2
Current State: 46:[45, 19, 18], Operations: ['85-67=18']
Exploring Operation: 19-18=1, Resulting Numbers: [45, 1]
Generated Node #0,2,0: 46:[45, 1] Operation: 19-18=1
Moving to Node #0,2,0
Current State: 46:[45, 1], Operations: ['85-67=18', '19-18=1']
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
27,
96,
90,
16
] | 57 | [
"90-27=63",
"96/16=6",
"63-6=57"
] | Current State: 57:[27, 96, 90, 16], Operations: []
Exploring Operation: 90-27=63, Resulting Numbers: [96, 16, 63]
Generated Node #2: [96, 16, 63] from Operation: 90-27=63
Current State: 57:[96, 16, 63], Operations: ['90-27=63']
Exploring Operation: 96/16=6, Resulting Numbers: [63, 6]
Generated Node #3: [63, 6] from Operation: 96/16=6
Current State: 57:[63, 6], Operations: ['90-27=63', '96/16=6']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[27, 96, 90, 16], Operations: []
Exploring Operation: 96/16=6, Resulting Numbers: [27, 90, 6]
Generated Node #0,0: 57:[27, 90, 6] Operation: 96/16=6
Exploring Operation: 96-90=6, Resulting Numbers: [27, 16, 6]
Generated Node #0,1: 57:[27, 16, 6] Operation: 96-90=6
Exploring Operation: 96-27=69, Resulting Numbers: [90, 16, 69]
Generated Node #0,2: 57:[90, 16, 69] Operation: 96-27=69
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[27, 16, 6], Operations: ['96-90=6']
Exploring Operation: 27-6=21, Resulting Numbers: [16, 21]
Generated Node #0,1,0: 57:[16, 21] Operation: 27-6=21
Exploring Operation: 27-16=11, Resulting Numbers: [6, 11]
Generated Node #0,1,1: 57:[6, 11] Operation: 27-16=11
Exploring Operation: 16+6=22, Resulting Numbers: [27, 22]
Generated Node #0,1,2: 57:[27, 22] Operation: 16+6=22
Moving to Node #0,1,0
Current State: 57:[16, 21], Operations: ['96-90=6', '27-6=21']
Exploring Operation: 16*21=336, Resulting Numbers: [336]
336,57 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[6, 11], Operations: ['96-90=6', '27-16=11']
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Moving to Node #0,1,2
Current State: 57:[27, 22], Operations: ['96-90=6', '16+6=22']
Exploring Operation: 27*22=594, Resulting Numbers: [594]
594,57 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[27, 90, 6], Operations: ['96/16=6']
Exploring Operation: 90/6=15, Resulting Numbers: [27, 15]
Generated Node #0,0,0: 57:[27, 15] Operation: 90/6=15
Exploring Operation: 27-6=21, Resulting Numbers: [90, 21]
Generated Node #0,0,1: 57:[90, 21] Operation: 27-6=21
Exploring Operation: 90-27=63, Resulting Numbers: [6, 63]
Generated Node #0,0,2: 57:[6, 63] Operation: 90-27=63
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 57:[6, 63], Operations: ['96/16=6', '90-27=63']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[27, 96, 90, 16], Operations: []
Exploring Operation: 96/16=6, Resulting Numbers: [27, 90, 6]
Generated Node #0,0: 57:[27, 90, 6] Operation: 96/16=6
Moving to Node #0,0
Current State: 57:[27, 90, 6], Operations: ['96/16=6']
Exploring Operation: 90-27=63, Resulting Numbers: [6, 63]
Generated Node #0,0,2: 57:[6, 63] Operation: 90-27=63
Moving to Node #0,0,2
Current State: 57:[6, 63], Operations: ['96/16=6', '90-27=63']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
45,
13,
76,
45
] | 89 | [
"45+13=58",
"76-45=31",
"58+31=89"
] | Current State: 89:[45, 13, 76, 45], Operations: []
Exploring Operation: 45+13=58, Resulting Numbers: [76, 58]
Generated Node #2: [76, 58] from Operation: 45+13=58
Current State: 89:[76, 58], Operations: ['45+13=58']
Exploring Operation: 76-45=31, Resulting Numbers: [58, 31]
Generated Node #3: [58, 31] from Operation: 76-45=31
Current State: 89:[58, 31], Operations: ['45+13=58', '76-45=31']
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[45, 13, 76, 45], Operations: []
Exploring Operation: 13+45=58, Resulting Numbers: [45, 76, 58]
Generated Node #0,0: 89:[45, 76, 58] Operation: 13+45=58
Exploring Operation: 45+13=58, Resulting Numbers: [76, 45, 58]
Generated Node #0,1: 89:[76, 45, 58] Operation: 45+13=58
Exploring Operation: 45+45=90, Resulting Numbers: [13, 76, 90]
Generated Node #0,2: 89:[13, 76, 90] Operation: 45+45=90
Exploring Operation: 13+76=89, Resulting Numbers: [45, 45, 89]
Generated Node #0,3: 89:[45, 45, 89] Operation: 13+76=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[45, 76, 58], Operations: ['13+45=58']
Exploring Operation: 58-45=13, Resulting Numbers: [76, 13]
Generated Node #0,0,0: 89:[76, 13] Operation: 58-45=13
Exploring Operation: 45+58=103, Resulting Numbers: [76, 103]
Generated Node #0,0,1: 89:[76, 103] Operation: 45+58=103
Exploring Operation: 76-45=31, Resulting Numbers: [58, 31]
Generated Node #0,0,2: 89:[58, 31] Operation: 76-45=31
Exploring Operation: 45+76=121, Resulting Numbers: [58, 121]
Generated Node #0,0,3: 89:[58, 121] Operation: 45+76=121
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[76, 103], Operations: ['13+45=58', '45+58=103']
Exploring Operation: 103-76=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 76*103=7828, Resulting Numbers: [7828]
7828,89 unequal: No Solution
Exploring Operation: 76+103=179, Resulting Numbers: [179]
179,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 89:[58, 121], Operations: ['13+45=58', '45+76=121']
Exploring Operation: 121-58=63, Resulting Numbers: [63]
63,89 unequal: No Solution
Exploring Operation: 58*121=7018, Resulting Numbers: [7018]
7018,89 unequal: No Solution
Exploring Operation: 58+121=179, Resulting Numbers: [179]
179,89 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:[76, 13], Operations: ['13+45=58', '58-45=13']
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[45, 13, 76, 45], Operations: []
Exploring Operation: 13+45=58, Resulting Numbers: [45, 76, 58]
Generated Node #0,0: 89:[45, 76, 58] Operation: 13+45=58
Moving to Node #0,0
Current State: 89:[45, 76, 58], Operations: ['13+45=58']
Exploring Operation: 58-45=13, Resulting Numbers: [76, 13]
Generated Node #0,0,0: 89:[76, 13] Operation: 58-45=13
Moving to Node #0,0,0
Current State: 89:[76, 13], Operations: ['13+45=58', '58-45=13']
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
95,
5,
80,
62
] | 52 | [
"95-5=90",
"80+62=142",
"142-90=52"
] | Current State: 52:[95, 5, 80, 62], Operations: []
Exploring Operation: 95-5=90, Resulting Numbers: [80, 62, 90]
Generated Node #2: [80, 62, 90] from Operation: 95-5=90
Current State: 52:[80, 62, 90], Operations: ['95-5=90']
Exploring Operation: 80+62=142, Resulting Numbers: [90, 142]
Generated Node #3: [90, 142] from Operation: 80+62=142
Current State: 52:[90, 142], Operations: ['95-5=90', '80+62=142']
Exploring Operation: 142-90=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[95, 5, 80, 62], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [95, 62, 16]
Generated Node #0,0: 52:[95, 62, 16] Operation: 80/5=16
Exploring Operation: 95-80=15, Resulting Numbers: [5, 62, 15]
Generated Node #0,1: 52:[5, 62, 15] Operation: 95-80=15
Exploring Operation: 95-62=33, Resulting Numbers: [5, 80, 33]
Generated Node #0,2: 52:[5, 80, 33] Operation: 95-62=33
Exploring Operation: 95/5=19, Resulting Numbers: [80, 62, 19]
Generated Node #0,3: 52:[80, 62, 19] Operation: 95/5=19
Exploring Operation: 80-62=18, Resulting Numbers: [95, 5, 18]
Generated Node #0,4: 52:[95, 5, 18] Operation: 80-62=18
Moving to Node #0,1
Current State: 52:[5, 62, 15], Operations: ['95-80=15']
Exploring Operation: 62-5=57, Resulting Numbers: [15, 57]
Generated Node #0,1,0: 52:[15, 57] Operation: 62-5=57
Exploring Operation: 62-15=47, Resulting Numbers: [5, 47]
Generated Node #0,1,1: 52:[5, 47] Operation: 62-15=47
Exploring Operation: 5+15=20, Resulting Numbers: [62, 20]
Generated Node #0,1,2: 52:[62, 20] Operation: 5+15=20
Exploring Operation: 15/5=3, Resulting Numbers: [62, 3]
Generated Node #0,1,3: 52:[62, 3] Operation: 15/5=3
Exploring Operation: 15-5=10, Resulting Numbers: [62, 10]
Generated Node #0,1,4: 52:[62, 10] Operation: 15-5=10
Moving to Node #0,2
Current State: 52:[5, 80, 33], Operations: ['95-62=33']
Exploring Operation: 33-5=28, Resulting Numbers: [80, 28]
Generated Node #0,2,0: 52:[80, 28] Operation: 33-5=28
Exploring Operation: 80-33=47, Resulting Numbers: [5, 47]
Generated Node #0,2,1: 52:[5, 47] Operation: 80-33=47
Exploring Operation: 80-5=75, Resulting Numbers: [33, 75]
Generated Node #0,2,2: 52:[33, 75] Operation: 80-5=75
Exploring Operation: 80/5=16, Resulting Numbers: [33, 16]
Generated Node #0,2,3: 52:[33, 16] Operation: 80/5=16
Exploring Operation: 5+80=85, Resulting Numbers: [33, 85]
Generated Node #0,2,4: 52:[33, 85] Operation: 5+80=85
Moving to Node #0,3
Current State: 52:[80, 62, 19], Operations: ['95/5=19']
Exploring Operation: 80-19=61, Resulting Numbers: [62, 61]
Generated Node #0,3,0: 52:[62, 61] Operation: 80-19=61
Exploring Operation: 80+19=99, Resulting Numbers: [62, 99]
Generated Node #0,3,1: 52:[62, 99] Operation: 80+19=99
Exploring Operation: 62+19=81, Resulting Numbers: [80, 81]
Generated Node #0,3,2: 52:[80, 81] Operation: 62+19=81
Exploring Operation: 80-62=18, Resulting Numbers: [19, 18]
Generated Node #0,3,3: 52:[19, 18] Operation: 80-62=18
Exploring Operation: 62-19=43, Resulting Numbers: [80, 43]
Generated Node #0,3,4: 52:[80, 43] Operation: 62-19=43
Moving to Node #0,4
Current State: 52:[95, 5, 18], Operations: ['80-62=18']
Exploring Operation: 5+18=23, Resulting Numbers: [95, 23]
Generated Node #0,4,0: 52:[95, 23] Operation: 5+18=23
Exploring Operation: 18-5=13, Resulting Numbers: [95, 13]
Generated Node #0,4,1: 52:[95, 13] Operation: 18-5=13
Exploring Operation: 95/5=19, Resulting Numbers: [18, 19]
Generated Node #0,4,2: 52:[18, 19] Operation: 95/5=19
Exploring Operation: 95-5=90, Resulting Numbers: [18, 90]
Generated Node #0,4,3: 52:[18, 90] Operation: 95-5=90
Exploring Operation: 95-18=77, Resulting Numbers: [5, 77]
Generated Node #0,4,4: 52:[5, 77] Operation: 95-18=77
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 52:[18, 19], Operations: ['80-62=18', '95/5=19']
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,52 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 52:[5, 77], Operations: ['80-62=18', '95-18=77']
Exploring Operation: 5*77=385, Resulting Numbers: [385]
385,52 unequal: No Solution
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,52 unequal: No Solution
Exploring Operation: 5+77=82, Resulting Numbers: [82]
82,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 52:[95, 13], Operations: ['80-62=18', '18-5=13']
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,52 unequal: No Solution
Exploring Operation: 95+13=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Exploring Operation: 95*13=1235, Resulting Numbers: [1235]
1235,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 52:[18, 90], Operations: ['80-62=18', '95-5=90']
Exploring Operation: 18*90=1620, Resulting Numbers: [1620]
1620,52 unequal: No Solution
Exploring Operation: 18+90=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Exploring Operation: 90/18=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 52:[95, 23], Operations: ['80-62=18', '5+18=23']
Exploring Operation: 95*23=2185, Resulting Numbers: [2185]
2185,52 unequal: No Solution
Exploring Operation: 95-23=72, Resulting Numbers: [72]
72,52 unequal: No Solution
Exploring Operation: 95+23=118, Resulting Numbers: [118]
118,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 52:[95, 62, 16], Operations: ['80/5=16']
Exploring Operation: 62+16=78, Resulting Numbers: [95, 78]
Generated Node #0,0,0: 52:[95, 78] Operation: 62+16=78
Exploring Operation: 95-62=33, Resulting Numbers: [16, 33]
Generated Node #0,0,1: 52:[16, 33] Operation: 95-62=33
Exploring Operation: 62-16=46, Resulting Numbers: [95, 46]
Generated Node #0,0,2: 52:[95, 46] Operation: 62-16=46
Exploring Operation: 95-16=79, Resulting Numbers: [62, 79]
Generated Node #0,0,3: 52:[62, 79] Operation: 95-16=79
Exploring Operation: 95+16=111, Resulting Numbers: [62, 111]
Generated Node #0,0,4: 52:[62, 111] Operation: 95+16=111
Moving to Node #0,1,1
Current State: 52:[5, 47], Operations: ['95-80=15', '62-15=47']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,52 unequal: No Solution
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[95, 5, 80, 62], Operations: []
Exploring Operation: 95-80=15, Resulting Numbers: [5, 62, 15]
Generated Node #0,1: 52:[5, 62, 15] Operation: 95-80=15
Moving to Node #0,1
Current State: 52:[5, 62, 15], Operations: ['95-80=15']
Exploring Operation: 62-15=47, Resulting Numbers: [5, 47]
Generated Node #0,1,1: 52:[5, 47] Operation: 62-15=47
Moving to Node #0,1,1
Current State: 52:[5, 47], Operations: ['95-80=15', '62-15=47']
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.954861 | hs_5 | sum_heuristic |
[
64,
42,
99,
25
] | 52 | [
"64-42=22",
"99-25=74",
"74-22=52"
] | Current State: 52:[64, 42, 99, 25], Operations: []
Exploring Operation: 64-42=22, Resulting Numbers: [99, 25, 22]
Generated Node #2: [99, 25, 22] from Operation: 64-42=22
Current State: 52:[99, 25, 22], Operations: ['64-42=22']
Exploring Operation: 99-25=74, Resulting Numbers: [22, 74]
Generated Node #3: [22, 74] from Operation: 99-25=74
Current State: 52:[22, 74], Operations: ['64-42=22', '99-25=74']
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[64, 42, 99, 25], Operations: []
Exploring Operation: 99-42=57, Resulting Numbers: [64, 25, 57]
Generated Node #0,0: 52:[64, 25, 57] Operation: 99-42=57
Exploring Operation: 99-64=35, Resulting Numbers: [42, 25, 35]
Generated Node #0,1: 52:[42, 25, 35] Operation: 99-64=35
Moving to Node #0,0
Current State: 52:[64, 25, 57], Operations: ['99-42=57']
Exploring Operation: 64-25=39, Resulting Numbers: [57, 39]
Generated Node #0,0,0: 52:[57, 39] Operation: 64-25=39
Exploring Operation: 64-57=7, Resulting Numbers: [25, 7]
Generated Node #0,0,1: 52:[25, 7] Operation: 64-57=7
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[25, 7], Operations: ['99-42=57', '64-57=7']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[57, 39], Operations: ['99-42=57', '64-25=39']
Exploring Operation: 57+39=96, Resulting Numbers: [96]
96,52 unequal: No Solution
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,52 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: 52:[42, 25, 35], Operations: ['99-64=35']
Exploring Operation: 42-25=17, Resulting Numbers: [35, 17]
Generated Node #0,1,0: 52:[35, 17] Operation: 42-25=17
Exploring Operation: 42-35=7, Resulting Numbers: [25, 7]
Generated Node #0,1,1: 52:[25, 7] Operation: 42-35=7
Moving to Node #0,1,1
Current State: 52:[25, 7], Operations: ['99-64=35', '42-35=7']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[35, 17], Operations: ['99-64=35', '42-25=17']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[64, 42, 99, 25], Operations: []
Exploring Operation: 99-64=35, Resulting Numbers: [42, 25, 35]
Generated Node #0,1: 52:[42, 25, 35] Operation: 99-64=35
Moving to Node #0,1
Current State: 52:[42, 25, 35], Operations: ['99-64=35']
Exploring Operation: 42-25=17, Resulting Numbers: [35, 17]
Generated Node #0,1,0: 52:[35, 17] Operation: 42-25=17
Moving to Node #0,1,0
Current State: 52:[35, 17], Operations: ['99-64=35', '42-25=17']
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.984375 | hs_2 | sum_heuristic |
[
29,
56,
8,
42
] | 23 | [
"56-29=27",
"8+42=50",
"50-27=23"
] | Current State: 23:[29, 56, 8, 42], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [8, 42, 27]
Generated Node #2: [8, 42, 27] from Operation: 56-29=27
Current State: 23:[8, 42, 27], Operations: ['56-29=27']
Exploring Operation: 8+42=50, Resulting Numbers: [27, 50]
Generated Node #3: [27, 50] from Operation: 8+42=50
Current State: 23:[27, 50], Operations: ['56-29=27', '8+42=50']
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[29, 56, 8, 42], Operations: []
Exploring Operation: 56-42=14, Resulting Numbers: [29, 8, 14]
Generated Node #0,0: 23:[29, 8, 14] Operation: 56-42=14
Moving to Node #0,0
Current State: 23:[29, 8, 14], Operations: ['56-42=14']
Exploring Operation: 8+14=22, Resulting Numbers: [29, 22]
Generated Node #0,0,0: 23:[29, 22] Operation: 8+14=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[29, 22], Operations: ['56-42=14', '8+14=22']
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
8,
85,
92,
18
] | 33 | [
"85-8=77",
"92+18=110",
"110-77=33"
] | Current State: 33:[8, 85, 92, 18], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [92, 18, 77]
Generated Node #2: [92, 18, 77] from Operation: 85-8=77
Current State: 33:[92, 18, 77], Operations: ['85-8=77']
Exploring Operation: 92+18=110, Resulting Numbers: [77, 110]
Generated Node #3: [77, 110] from Operation: 92+18=110
Current State: 33:[77, 110], Operations: ['85-8=77', '92+18=110']
Exploring Operation: 110-77=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[8, 85, 92, 18], Operations: []
Exploring Operation: 92-8=84, Resulting Numbers: [85, 18, 84]
Generated Node #0,0: 33:[85, 18, 84] Operation: 92-8=84
Exploring Operation: 85-18=67, Resulting Numbers: [8, 92, 67]
Generated Node #0,1: 33:[8, 92, 67] Operation: 85-18=67
Exploring Operation: 92-18=74, Resulting Numbers: [8, 85, 74]
Generated Node #0,2: 33:[8, 85, 74] Operation: 92-18=74
Exploring Operation: 85-8=77, Resulting Numbers: [92, 18, 77]
Generated Node #0,3: 33:[92, 18, 77] Operation: 85-8=77
Exploring Operation: 92-85=7, Resulting Numbers: [8, 18, 7]
Generated Node #0,4: 33:[8, 18, 7] Operation: 92-85=7
Moving to Node #0,4
Current State: 33:[8, 18, 7], Operations: ['92-85=7']
Exploring Operation: 18-7=11, Resulting Numbers: [8, 11]
Generated Node #0,4,0: 33:[8, 11] Operation: 18-7=11
Exploring Operation: 8-7=1, Resulting Numbers: [18, 1]
Generated Node #0,4,1: 33:[18, 1] Operation: 8-7=1
Exploring Operation: 8+7=15, Resulting Numbers: [18, 15]
Generated Node #0,4,2: 33:[18, 15] Operation: 8+7=15
Exploring Operation: 18-8=10, Resulting Numbers: [7, 10]
Generated Node #0,4,3: 33:[7, 10] Operation: 18-8=10
Exploring Operation: 8+18=26, Resulting Numbers: [7, 26]
Generated Node #0,4,4: 33:[7, 26] Operation: 8+18=26
Moving to Node #0,2
Current State: 33:[8, 85, 74], Operations: ['92-18=74']
Exploring Operation: 8+74=82, Resulting Numbers: [85, 82]
Generated Node #0,2,0: 33:[85, 82] Operation: 8+74=82
Exploring Operation: 85-8=77, Resulting Numbers: [74, 77]
Generated Node #0,2,1: 33:[74, 77] Operation: 85-8=77
Exploring Operation: 74-8=66, Resulting Numbers: [85, 66]
Generated Node #0,2,2: 33:[85, 66] Operation: 74-8=66
Exploring Operation: 85-74=11, Resulting Numbers: [8, 11]
Generated Node #0,2,3: 33:[8, 11] Operation: 85-74=11
Exploring Operation: 8+85=93, Resulting Numbers: [74, 93]
Generated Node #0,2,4: 33:[74, 93] Operation: 8+85=93
Moving to Node #0,1
Current State: 33:[8, 92, 67], Operations: ['85-18=67']
Exploring Operation: 92-8=84, Resulting Numbers: [67, 84]
Generated Node #0,1,0: 33:[67, 84] Operation: 92-8=84
Exploring Operation: 8+92=100, Resulting Numbers: [67, 100]
Generated Node #0,1,1: 33:[67, 100] Operation: 8+92=100
Exploring Operation: 92-67=25, Resulting Numbers: [8, 25]
Generated Node #0,1,2: 33:[8, 25] Operation: 92-67=25
Exploring Operation: 67-8=59, Resulting Numbers: [92, 59]
Generated Node #0,1,3: 33:[92, 59] Operation: 67-8=59
Exploring Operation: 8+67=75, Resulting Numbers: [92, 75]
Generated Node #0,1,4: 33:[92, 75] Operation: 8+67=75
Moving to Node #0,0
Current State: 33:[85, 18, 84], Operations: ['92-8=84']
Exploring Operation: 85-84=1, Resulting Numbers: [18, 1]
Generated Node #0,0,0: 33:[18, 1] Operation: 85-84=1
Exploring Operation: 85-18=67, Resulting Numbers: [84, 67]
Generated Node #0,0,1: 33:[84, 67] Operation: 85-18=67
Exploring Operation: 18+84=102, Resulting Numbers: [85, 102]
Generated Node #0,0,2: 33:[85, 102] Operation: 18+84=102
Exploring Operation: 84-18=66, Resulting Numbers: [85, 66]
Generated Node #0,0,3: 33:[85, 66] Operation: 84-18=66
Exploring Operation: 85+18=103, Resulting Numbers: [84, 103]
Generated Node #0,0,4: 33:[84, 103] Operation: 85+18=103
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[18, 1], Operations: ['92-8=84', '85-84=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 33:[84, 67], Operations: ['92-8=84', '85-18=67']
Exploring Operation: 84*67=5628, Resulting Numbers: [5628]
5628,33 unequal: No Solution
Exploring Operation: 84-67=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Exploring Operation: 84+67=151, Resulting Numbers: [151]
151,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 33:[85, 66], Operations: ['92-8=84', '84-18=66']
Exploring Operation: 85-66=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 85+66=151, Resulting Numbers: [151]
151,33 unequal: No Solution
Exploring Operation: 85*66=5610, Resulting Numbers: [5610]
5610,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 33:[85, 102], Operations: ['92-8=84', '18+84=102']
Exploring Operation: 102-85=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Exploring Operation: 85+102=187, Resulting Numbers: [187]
187,33 unequal: No Solution
Exploring Operation: 85*102=8670, Resulting Numbers: [8670]
8670,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 33:[84, 103], Operations: ['92-8=84', '85+18=103']
Exploring Operation: 103-84=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 84*103=8652, Resulting Numbers: [8652]
8652,33 unequal: No Solution
Exploring Operation: 84+103=187, Resulting Numbers: [187]
187,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 33:[92, 18, 77], Operations: ['85-8=77']
Exploring Operation: 77-18=59, Resulting Numbers: [92, 59]
Generated Node #0,3,0: 33:[92, 59] Operation: 77-18=59
Exploring Operation: 18+77=95, Resulting Numbers: [92, 95]
Generated Node #0,3,1: 33:[92, 95] Operation: 18+77=95
Exploring Operation: 92+18=110, Resulting Numbers: [77, 110]
Generated Node #0,3,2: 33:[77, 110] Operation: 92+18=110
Exploring Operation: 92-77=15, Resulting Numbers: [18, 15]
Generated Node #0,3,3: 33:[18, 15] Operation: 92-77=15
Exploring Operation: 92-18=74, Resulting Numbers: [77, 74]
Generated Node #0,3,4: 33:[77, 74] Operation: 92-18=74
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 33:[18, 15], Operations: ['85-8=77', '92-77=15']
Exploring Operation: 18+15=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[8, 85, 92, 18], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [92, 18, 77]
Generated Node #0,3: 33:[92, 18, 77] Operation: 85-8=77
Moving to Node #0,3
Current State: 33:[92, 18, 77], Operations: ['85-8=77']
Exploring Operation: 92-77=15, Resulting Numbers: [18, 15]
Generated Node #0,3,3: 33:[18, 15] Operation: 92-77=15
Moving to Node #0,3,3
Current State: 33:[18, 15], Operations: ['85-8=77', '92-77=15']
Exploring Operation: 18+15=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729 | hs_5 | sum_heuristic |
[
18,
52,
71,
92
] | 55 | [
"52-18=34",
"92-71=21",
"34+21=55"
] | Current State: 55:[18, 52, 71, 92], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [71, 92, 34]
Generated Node #2: [71, 92, 34] from Operation: 52-18=34
Current State: 55:[71, 92, 34], Operations: ['52-18=34']
Exploring Operation: 92-71=21, Resulting Numbers: [34, 21]
Generated Node #3: [34, 21] from Operation: 92-71=21
Current State: 55:[34, 21], Operations: ['52-18=34', '92-71=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[18, 52, 71, 92], Operations: []
Exploring Operation: 92-52=40, Resulting Numbers: [18, 71, 40]
Generated Node #0,0: 55:[18, 71, 40] Operation: 92-52=40
Exploring Operation: 71-18=53, Resulting Numbers: [52, 92, 53]
Generated Node #0,1: 55:[52, 92, 53] Operation: 71-18=53
Exploring Operation: 92-18=74, Resulting Numbers: [52, 71, 74]
Generated Node #0,2: 55:[52, 71, 74] Operation: 92-18=74
Exploring Operation: 92-71=21, Resulting Numbers: [18, 52, 21]
Generated Node #0,3: 55:[18, 52, 21] Operation: 92-71=21
Moving to Node #0,3
Current State: 55:[18, 52, 21], Operations: ['92-71=21']
Exploring Operation: 18+52=70, Resulting Numbers: [21, 70]
Generated Node #0,3,0: 55:[21, 70] Operation: 18+52=70
Exploring Operation: 21-18=3, Resulting Numbers: [52, 3]
Generated Node #0,3,1: 55:[52, 3] Operation: 21-18=3
Exploring Operation: 18+21=39, Resulting Numbers: [52, 39]
Generated Node #0,3,2: 55:[52, 39] Operation: 18+21=39
Exploring Operation: 52+21=73, Resulting Numbers: [18, 73]
Generated Node #0,3,3: 55:[18, 73] Operation: 52+21=73
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 55:[52, 3], Operations: ['92-71=21', '21-18=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[18, 52, 71, 92], Operations: []
Exploring Operation: 92-71=21, Resulting Numbers: [18, 52, 21]
Generated Node #0,3: 55:[18, 52, 21] Operation: 92-71=21
Moving to Node #0,3
Current State: 55:[18, 52, 21], Operations: ['92-71=21']
Exploring Operation: 21-18=3, Resulting Numbers: [52, 3]
Generated Node #0,3,1: 55:[52, 3] Operation: 21-18=3
Moving to Node #0,3,1
Current State: 55:[52, 3], Operations: ['92-71=21', '21-18=3']
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
67,
92,
62,
64
] | 33 | [
"67+92=159",
"62+64=126",
"159-126=33"
] | Current State: 33:[67, 92, 62, 64], Operations: []
Exploring Operation: 67+92=159, Resulting Numbers: [62, 64, 159]
Generated Node #2: [62, 64, 159] from Operation: 67+92=159
Current State: 33:[62, 64, 159], Operations: ['67+92=159']
Exploring Operation: 62+64=126, Resulting Numbers: [159, 126]
Generated Node #3: [159, 126] from Operation: 62+64=126
Current State: 33:[159, 126], Operations: ['67+92=159', '62+64=126']
Exploring Operation: 159-126=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[67, 92, 62, 64], Operations: []
Exploring Operation: 92-62=30, Resulting Numbers: [67, 64, 30]
Generated Node #0,0: 33:[67, 64, 30] Operation: 92-62=30
Exploring Operation: 92-67=25, Resulting Numbers: [62, 64, 25]
Generated Node #0,1: 33:[62, 64, 25] Operation: 92-67=25
Moving to Node #0,0
Current State: 33:[67, 64, 30], Operations: ['92-62=30']
Exploring Operation: 67-64=3, Resulting Numbers: [30, 3]
Generated Node #0,0,0: 33:[30, 3] Operation: 67-64=3
Exploring Operation: 67-30=37, Resulting Numbers: [64, 37]
Generated Node #0,0,1: 33:[64, 37] Operation: 67-30=37
Moving to Node #0,1
Current State: 33:[62, 64, 25], Operations: ['92-67=25']
Exploring Operation: 62-25=37, Resulting Numbers: [64, 37]
Generated Node #0,1,0: 33:[64, 37] Operation: 62-25=37
Exploring Operation: 64-62=2, Resulting Numbers: [25, 2]
Generated Node #0,1,1: 33:[25, 2] Operation: 64-62=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 33:[25, 2], Operations: ['92-67=25', '64-62=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,33 unequal: No Solution
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[64, 37], Operations: ['92-67=25', '62-25=37']
Exploring Operation: 64+37=101, Resulting Numbers: [101]
101,33 unequal: No Solution
Exploring Operation: 64-37=27, Resulting Numbers: [27]
27,33 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: 33:[30, 3], Operations: ['92-62=30', '67-64=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[67, 92, 62, 64], Operations: []
Exploring Operation: 92-62=30, Resulting Numbers: [67, 64, 30]
Generated Node #0,0: 33:[67, 64, 30] Operation: 92-62=30
Moving to Node #0,0
Current State: 33:[67, 64, 30], Operations: ['92-62=30']
Exploring Operation: 67-64=3, Resulting Numbers: [30, 3]
Generated Node #0,0,0: 33:[30, 3] Operation: 67-64=3
Moving to Node #0,0,0
Current State: 33:[30, 3], Operations: ['92-62=30', '67-64=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
82,
52,
19,
98
] | 55 | [
"82+52=134",
"98-19=79",
"134-79=55"
] | Current State: 55:[82, 52, 19, 98], Operations: []
Exploring Operation: 82+52=134, Resulting Numbers: [19, 98, 134]
Generated Node #2: [19, 98, 134] from Operation: 82+52=134
Current State: 55:[19, 98, 134], Operations: ['82+52=134']
Exploring Operation: 98-19=79, Resulting Numbers: [134, 79]
Generated Node #3: [134, 79] from Operation: 98-19=79
Current State: 55:[134, 79], Operations: ['82+52=134', '98-19=79']
Exploring Operation: 134-79=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[82, 52, 19, 98], Operations: []
Exploring Operation: 98-52=46, Resulting Numbers: [82, 19, 46]
Generated Node #0,0: 55:[82, 19, 46] Operation: 98-52=46
Exploring Operation: 82-19=63, Resulting Numbers: [52, 98, 63]
Generated Node #0,1: 55:[52, 98, 63] Operation: 82-19=63
Exploring Operation: 98-82=16, Resulting Numbers: [52, 19, 16]
Generated Node #0,2: 55:[52, 19, 16] Operation: 98-82=16
Moving to Node #0,2
Current State: 55:[52, 19, 16], Operations: ['98-82=16']
Exploring Operation: 52+19=71, Resulting Numbers: [16, 71]
Generated Node #0,2,0: 55:[16, 71] Operation: 52+19=71
Exploring Operation: 52+16=68, Resulting Numbers: [19, 68]
Generated Node #0,2,1: 55:[19, 68] Operation: 52+16=68
Exploring Operation: 19-16=3, Resulting Numbers: [52, 3]
Generated Node #0,2,2: 55:[52, 3] Operation: 19-16=3
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 55:[52, 3], Operations: ['98-82=16', '19-16=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[82, 52, 19, 98], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [52, 19, 16]
Generated Node #0,2: 55:[52, 19, 16] Operation: 98-82=16
Moving to Node #0,2
Current State: 55:[52, 19, 16], Operations: ['98-82=16']
Exploring Operation: 19-16=3, Resulting Numbers: [52, 3]
Generated Node #0,2,2: 55:[52, 3] Operation: 19-16=3
Moving to Node #0,2,2
Current State: 55:[52, 3], Operations: ['98-82=16', '19-16=3']
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
48,
32,
12,
69
] | 77 | [
"48/12=4",
"32/4=8",
"69+8=77"
] | Current State: 77:[48, 32, 12, 69], Operations: []
Exploring Operation: 48/12=4, Resulting Numbers: [32, 69, 4]
Generated Node #2: [32, 69, 4] from Operation: 48/12=4
Current State: 77:[32, 69, 4], Operations: ['48/12=4']
Exploring Operation: 32/4=8, Resulting Numbers: [69, 8]
Generated Node #3: [69, 8] from Operation: 32/4=8
Current State: 77:[69, 8], Operations: ['48/12=4', '32/4=8']
Exploring Operation: 69+8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[48, 32, 12, 69], Operations: []
Exploring Operation: 48/12=4, Resulting Numbers: [32, 69, 4]
Generated Node #0,0: 77:[32, 69, 4] Operation: 48/12=4
Exploring Operation: 48-32=16, Resulting Numbers: [12, 69, 16]
Generated Node #0,1: 77:[12, 69, 16] Operation: 48-32=16
Exploring Operation: 48+32=80, Resulting Numbers: [12, 69, 80]
Generated Node #0,2: 77:[12, 69, 80] Operation: 48+32=80
Moving to Node #0,2
Current State: 77:[12, 69, 80], Operations: ['48+32=80']
Exploring Operation: 80-12=68, Resulting Numbers: [69, 68]
Generated Node #0,2,0: 77:[69, 68] Operation: 80-12=68
Exploring Operation: 12+69=81, Resulting Numbers: [80, 81]
Generated Node #0,2,1: 77:[80, 81] Operation: 12+69=81
Exploring Operation: 80-69=11, Resulting Numbers: [12, 11]
Generated Node #0,2,2: 77:[12, 11] Operation: 80-69=11
Moving to Node #0,1
Current State: 77:[12, 69, 16], Operations: ['48-32=16']
Exploring Operation: 12+69=81, Resulting Numbers: [16, 81]
Generated Node #0,1,0: 77:[16, 81] Operation: 12+69=81
Exploring Operation: 69+16=85, Resulting Numbers: [12, 85]
Generated Node #0,1,1: 77:[12, 85] Operation: 69+16=85
Exploring Operation: 16-12=4, Resulting Numbers: [69, 4]
Generated Node #0,1,2: 77:[69, 4] Operation: 16-12=4
Moving to Node #0,0
Current State: 77:[32, 69, 4], Operations: ['48/12=4']
Exploring Operation: 32-4=28, Resulting Numbers: [69, 28]
Generated Node #0,0,0: 77:[69, 28] Operation: 32-4=28
Exploring Operation: 32/4=8, Resulting Numbers: [69, 8]
Generated Node #0,0,1: 77:[69, 8] Operation: 32/4=8
Exploring Operation: 69+4=73, Resulting Numbers: [32, 73]
Generated Node #0,0,2: 77:[32, 73] Operation: 69+4=73
Moving to Node #0,2,2
Current State: 77:[12, 11], Operations: ['48+32=80', '80-69=11']
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,77 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[80, 81], Operations: ['48+32=80', '12+69=81']
Exploring Operation: 80*81=6480, Resulting Numbers: [6480]
6480,77 unequal: No Solution
Exploring Operation: 80+81=161, Resulting Numbers: [161]
161,77 unequal: No Solution
Exploring Operation: 81-80=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[69, 8], Operations: ['48/12=4', '32/4=8']
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,77 unequal: No Solution
Exploring Operation: 69+8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[48, 32, 12, 69], Operations: []
Exploring Operation: 48/12=4, Resulting Numbers: [32, 69, 4]
Generated Node #0,0: 77:[32, 69, 4] Operation: 48/12=4
Moving to Node #0,0
Current State: 77:[32, 69, 4], Operations: ['48/12=4']
Exploring Operation: 32/4=8, Resulting Numbers: [69, 8]
Generated Node #0,0,1: 77:[69, 8] Operation: 32/4=8
Moving to Node #0,0,1
Current State: 77:[69, 8], Operations: ['48/12=4', '32/4=8']
Exploring Operation: 69+8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.979167 | hs_3 | sum_heuristic |
[
84,
92,
11,
57
] | 41 | [
"84+92=176",
"176/11=16",
"57-16=41"
] | Current State: 41:[84, 92, 11, 57], Operations: []
Exploring Operation: 84+92=176, Resulting Numbers: [11, 57, 176]
Generated Node #2: [11, 57, 176] from Operation: 84+92=176
Current State: 41:[11, 57, 176], Operations: ['84+92=176']
Exploring Operation: 176/11=16, Resulting Numbers: [57, 16]
Generated Node #3: [57, 16] from Operation: 176/11=16
Current State: 41:[57, 16], Operations: ['84+92=176', '176/11=16']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[84, 92, 11, 57], Operations: []
Exploring Operation: 92-84=8, Resulting Numbers: [11, 57, 8]
Generated Node #0,0: 41:[11, 57, 8] Operation: 92-84=8
Exploring Operation: 84-11=73, Resulting Numbers: [92, 57, 73]
Generated Node #0,1: 41:[92, 57, 73] Operation: 84-11=73
Exploring Operation: 84-57=27, Resulting Numbers: [92, 11, 27]
Generated Node #0,2: 41:[92, 11, 27] Operation: 84-57=27
Exploring Operation: 92-57=35, Resulting Numbers: [84, 11, 35]
Generated Node #0,3: 41:[84, 11, 35] Operation: 92-57=35
Exploring Operation: 92-11=81, Resulting Numbers: [84, 57, 81]
Generated Node #0,4: 41:[84, 57, 81] Operation: 92-11=81
Moving to Node #0,0
Current State: 41:[11, 57, 8], Operations: ['92-84=8']
Exploring Operation: 11+8=19, Resulting Numbers: [57, 19]
Generated Node #0,0,0: 41:[57, 19] Operation: 11+8=19
Exploring Operation: 57+8=65, Resulting Numbers: [11, 65]
Generated Node #0,0,1: 41:[11, 65] Operation: 57+8=65
Exploring Operation: 57-11=46, Resulting Numbers: [8, 46]
Generated Node #0,0,2: 41:[8, 46] Operation: 57-11=46
Exploring Operation: 11-8=3, Resulting Numbers: [57, 3]
Generated Node #0,0,3: 41:[57, 3] Operation: 11-8=3
Exploring Operation: 57-8=49, Resulting Numbers: [11, 49]
Generated Node #0,0,4: 41:[11, 49] Operation: 57-8=49
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[57, 19], Operations: ['92-84=8', '11+8=19']
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 57*19=1083, Resulting Numbers: [1083]
1083,41 unequal: No Solution
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[8, 46], Operations: ['92-84=8', '57-11=46']
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,41 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,41 unequal: No Solution
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 41:[11, 49], Operations: ['92-84=8', '57-8=49']
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,41 unequal: No Solution
Exploring Operation: 11*49=539, Resulting Numbers: [539]
539,41 unequal: No Solution
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[11, 65], Operations: ['92-84=8', '57+8=65']
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,41 unequal: No Solution
Exploring Operation: 11*65=715, Resulting Numbers: [715]
715,41 unequal: No Solution
Exploring Operation: 11+65=76, Resulting Numbers: [76]
76,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 41:[57, 3], Operations: ['92-84=8', '11-8=3']
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,41 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,41 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: 41:[84, 11, 35], Operations: ['92-57=35']
Exploring Operation: 35-11=24, Resulting Numbers: [84, 24]
Generated Node #0,3,0: 41:[84, 24] Operation: 35-11=24
Exploring Operation: 84-35=49, Resulting Numbers: [11, 49]
Generated Node #0,3,1: 41:[11, 49] Operation: 84-35=49
Exploring Operation: 11+35=46, Resulting Numbers: [84, 46]
Generated Node #0,3,2: 41:[84, 46] Operation: 11+35=46
Exploring Operation: 84-11=73, Resulting Numbers: [35, 73]
Generated Node #0,3,3: 41:[35, 73] Operation: 84-11=73
Exploring Operation: 84+11=95, Resulting Numbers: [35, 95]
Generated Node #0,3,4: 41:[35, 95] Operation: 84+11=95
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 41:[11, 49], Operations: ['92-57=35', '84-35=49']
Exploring Operation: 11*49=539, Resulting Numbers: [539]
539,41 unequal: No Solution
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 41:[35, 73], Operations: ['92-57=35', '84-11=73']
Exploring Operation: 35+73=108, Resulting Numbers: [108]
108,41 unequal: No Solution
Exploring Operation: 73-35=38, Resulting Numbers: [38]
38,41 unequal: No Solution
Exploring Operation: 35*73=2555, Resulting Numbers: [2555]
2555,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 41:[84, 46], Operations: ['92-57=35', '11+35=46']
Exploring Operation: 84+46=130, Resulting Numbers: [130]
130,41 unequal: No Solution
Exploring Operation: 84-46=38, Resulting Numbers: [38]
38,41 unequal: No Solution
Exploring Operation: 84*46=3864, Resulting Numbers: [3864]
3864,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 41:[84, 24], Operations: ['92-57=35', '35-11=24']
Exploring Operation: 84*24=2016, Resulting Numbers: [2016]
2016,41 unequal: No Solution
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 84+24=108, Resulting Numbers: [108]
108,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 41:[35, 95], Operations: ['92-57=35', '84+11=95']
Exploring Operation: 95-35=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 35*95=3325, Resulting Numbers: [3325]
3325,41 unequal: No Solution
Exploring Operation: 35+95=130, Resulting Numbers: [130]
130,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 41:[92, 11, 27], Operations: ['84-57=27']
Exploring Operation: 92-27=65, Resulting Numbers: [11, 65]
Generated Node #0,2,0: 41:[11, 65] Operation: 92-27=65
Exploring Operation: 11+27=38, Resulting Numbers: [92, 38]
Generated Node #0,2,1: 41:[92, 38] Operation: 11+27=38
Exploring Operation: 92+11=103, Resulting Numbers: [27, 103]
Generated Node #0,2,2: 41:[27, 103] Operation: 92+11=103
Exploring Operation: 92-11=81, Resulting Numbers: [27, 81]
Generated Node #0,2,3: 41:[27, 81] Operation: 92-11=81
Exploring Operation: 27-11=16, Resulting Numbers: [92, 16]
Generated Node #0,2,4: 41:[92, 16] Operation: 27-11=16
Moving to Node #0,1
Current State: 41:[92, 57, 73], Operations: ['84-11=73']
Exploring Operation: 92-57=35, Resulting Numbers: [73, 35]
Generated Node #0,1,0: 41:[73, 35] Operation: 92-57=35
Exploring Operation: 92+57=149, Resulting Numbers: [73, 149]
Generated Node #0,1,1: 41:[73, 149] Operation: 92+57=149
Exploring Operation: 92-73=19, Resulting Numbers: [57, 19]
Generated Node #0,1,2: 41:[57, 19] Operation: 92-73=19
Exploring Operation: 92+73=165, Resulting Numbers: [57, 165]
Generated Node #0,1,3: 41:[57, 165] Operation: 92+73=165
Exploring Operation: 73-57=16, Resulting Numbers: [92, 16]
Generated Node #0,1,4: 41:[92, 16] Operation: 73-57=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[73, 35], Operations: ['84-11=73', '92-57=35']
Exploring Operation: 73-35=38, Resulting Numbers: [38]
38,41 unequal: No Solution
Exploring Operation: 73+35=108, Resulting Numbers: [108]
108,41 unequal: No Solution
Exploring Operation: 73*35=2555, Resulting Numbers: [2555]
2555,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[57, 19], Operations: ['84-11=73', '92-73=19']
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,41 unequal: No Solution
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 57*19=1083, Resulting Numbers: [1083]
1083,41 unequal: No Solution
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 41:[92, 16], Operations: ['84-11=73', '73-57=16']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 92*16=1472, Resulting Numbers: [1472]
1472,41 unequal: No Solution
Exploring Operation: 92+16=108, Resulting Numbers: [108]
108,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[73, 149], Operations: ['84-11=73', '92+57=149']
Exploring Operation: 73*149=10877, Resulting Numbers: [10877]
10877,41 unequal: No Solution
Exploring Operation: 149-73=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 73+149=222, Resulting Numbers: [222]
222,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 41:[57, 165], Operations: ['84-11=73', '92+73=165']
Exploring Operation: 165-57=108, Resulting Numbers: [108]
108,41 unequal: No Solution
Exploring Operation: 57+165=222, Resulting Numbers: [222]
222,41 unequal: No Solution
Exploring Operation: 57*165=9405, Resulting Numbers: [9405]
9405,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 41:[84, 57, 81], Operations: ['92-11=81']
Exploring Operation: 81-57=24, Resulting Numbers: [84, 24]
Generated Node #0,4,0: 41:[84, 24] Operation: 81-57=24
Exploring Operation: 84-81=3, Resulting Numbers: [57, 3]
Generated Node #0,4,1: 41:[57, 3] Operation: 84-81=3
Exploring Operation: 84+81=165, Resulting Numbers: [57, 165]
Generated Node #0,4,2: 41:[57, 165] Operation: 84+81=165
Exploring Operation: 84-57=27, Resulting Numbers: [81, 27]
Generated Node #0,4,3: 41:[81, 27] Operation: 84-57=27
Exploring Operation: 84+57=141, Resulting Numbers: [81, 141]
Generated Node #0,4,4: 41:[81, 141] Operation: 84+57=141
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 41:[57, 3], Operations: ['92-11=81', '84-81=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,41 unequal: No Solution
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 41:[81, 27], Operations: ['92-11=81', '84-57=27']
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,41 unequal: No Solution
Exploring Operation: 81*27=2187, Resulting Numbers: [2187]
2187,41 unequal: No Solution
Exploring Operation: 81+27=108, Resulting Numbers: [108]
108,41 unequal: No Solution
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 41:[84, 24], Operations: ['92-11=81', '81-57=24']
Exploring Operation: 84*24=2016, Resulting Numbers: [2016]
2016,41 unequal: No Solution
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 84+24=108, Resulting Numbers: [108]
108,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 41:[57, 165], Operations: ['92-11=81', '84+81=165']
Exploring Operation: 165-57=108, Resulting Numbers: [108]
108,41 unequal: No Solution
Exploring Operation: 57*165=9405, Resulting Numbers: [9405]
9405,41 unequal: No Solution
Exploring Operation: 57+165=222, Resulting Numbers: [222]
222,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 41:[81, 141], Operations: ['92-11=81', '84+57=141']
Exploring Operation: 141-81=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 81+141=222, Resulting Numbers: [222]
222,41 unequal: No Solution
Exploring Operation: 81*141=11421, Resulting Numbers: [11421]
11421,41 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: 41:[11, 65], Operations: ['84-57=27', '92-27=65']
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,41 unequal: No Solution
Exploring Operation: 11*65=715, Resulting Numbers: [715]
715,41 unequal: No Solution
Exploring Operation: 11+65=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[27, 81], Operations: ['84-57=27', '92-11=81']
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,41 unequal: No Solution
Exploring Operation: 27*81=2187, Resulting Numbers: [2187]
2187,41 unequal: No Solution
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 27+81=108, Resulting Numbers: [108]
108,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[92, 38], Operations: ['84-57=27', '11+27=38']
Exploring Operation: 92-38=54, Resulting Numbers: [54]
54,41 unequal: No Solution
Exploring Operation: 92+38=130, Resulting Numbers: [130]
130,41 unequal: No Solution
Exploring Operation: 92*38=3496, Resulting Numbers: [3496]
3496,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[27, 103], Operations: ['84-57=27', '92+11=103']
Exploring Operation: 27+103=130, Resulting Numbers: [130]
130,41 unequal: No Solution
Exploring Operation: 27*103=2781, Resulting Numbers: [2781]
2781,41 unequal: No Solution
Exploring Operation: 103-27=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Moving to Node #0,2,4
Current State: 41:[92, 16], Operations: ['84-57=27', '27-11=16']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 92+16=108, Resulting Numbers: [108]
108,41 unequal: No Solution
Exploring Operation: 92*16=1472, Resulting Numbers: [1472]
1472,41 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
1,
64,
1,
12
] | 77 | [
"1+64=65",
"1*12=12",
"65+12=77"
] | Current State: 77:[1, 64, 1, 12], Operations: []
Exploring Operation: 1+64=65, Resulting Numbers: [12, 65]
Generated Node #2: [12, 65] from Operation: 1+64=65
Current State: 77:[12, 65], Operations: ['1+64=65']
Exploring Operation: 1*12=12, Resulting Numbers: [65, 12]
Generated Node #3: [65, 12] from Operation: 1*12=12
Current State: 77:[65, 12], Operations: ['1+64=65', '1*12=12']
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[1, 64, 1, 12], Operations: []
Exploring Operation: 1+1=2, Resulting Numbers: [64, 12, 2]
Generated Node #0,0: 77:[64, 12, 2] Operation: 1+1=2
Exploring Operation: 64+12=76, Resulting Numbers: [1, 1, 76]
Generated Node #0,1: 77:[1, 1, 76] Operation: 64+12=76
Exploring Operation: 1+64=65, Resulting Numbers: [1, 12, 65]
Generated Node #0,2: 77:[1, 12, 65] Operation: 1+64=65
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[1, 1, 76], Operations: ['64+12=76']
Exploring Operation: 1+76=77, Resulting Numbers: [1, 77]
Generated Node #0,1,0: 77:[1, 77] Operation: 1+76=77
Exploring Operation: 1+76=77, Resulting Numbers: [1, 77]
Generated Node #0,1,1: 77:[1, 77] Operation: 1+76=77
Exploring Operation: 1+1=2, Resulting Numbers: [76, 2]
Generated Node #0,1,2: 77:[76, 2] Operation: 1+1=2
Moving to Node #0,1,0
Current State: 77:[1, 77], Operations: ['64+12=76', '1+76=77']
Exploring Operation: 1*77=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[1, 64, 1, 12], Operations: []
Exploring Operation: 64+12=76, Resulting Numbers: [1, 1, 76]
Generated Node #0,1: 77:[1, 1, 76] Operation: 64+12=76
Moving to Node #0,1
Current State: 77:[1, 1, 76], Operations: ['64+12=76']
Exploring Operation: 1+76=77, Resulting Numbers: [1, 77]
Generated Node #0,1,0: 77:[1, 77] Operation: 1+76=77
Moving to Node #0,1,0
Current State: 77:[1, 77], Operations: ['64+12=76', '1+76=77']
Exploring Operation: 1*77=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
53,
46,
85,
70
] | 56 | [
"53+46=99",
"85+70=155",
"155-99=56"
] | Current State: 56:[53, 46, 85, 70], Operations: []
Exploring Operation: 53+46=99, Resulting Numbers: [85, 70, 99]
Generated Node #2: [85, 70, 99] from Operation: 53+46=99
Current State: 56:[85, 70, 99], Operations: ['53+46=99']
Exploring Operation: 85+70=155, Resulting Numbers: [99, 155]
Generated Node #3: [99, 155] from Operation: 85+70=155
Current State: 56:[99, 155], Operations: ['53+46=99', '85+70=155']
Exploring Operation: 155-99=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[53, 46, 85, 70], Operations: []
Exploring Operation: 70-46=24, Resulting Numbers: [53, 85, 24]
Generated Node #0,0: 56:[53, 85, 24] Operation: 70-46=24
Exploring Operation: 85-70=15, Resulting Numbers: [53, 46, 15]
Generated Node #0,1: 56:[53, 46, 15] Operation: 85-70=15
Exploring Operation: 85-53=32, Resulting Numbers: [46, 70, 32]
Generated Node #0,2: 56:[46, 70, 32] Operation: 85-53=32
Exploring Operation: 70-53=17, Resulting Numbers: [46, 85, 17]
Generated Node #0,3: 56:[46, 85, 17] Operation: 70-53=17
Exploring Operation: 85-46=39, Resulting Numbers: [53, 70, 39]
Generated Node #0,4: 56:[53, 70, 39] Operation: 85-46=39
Moving to Node #0,1
Current State: 56:[53, 46, 15], Operations: ['85-70=15']
Exploring Operation: 46-15=31, Resulting Numbers: [53, 31]
Generated Node #0,1,0: 56:[53, 31] Operation: 46-15=31
Exploring Operation: 53-15=38, Resulting Numbers: [46, 38]
Generated Node #0,1,1: 56:[46, 38] Operation: 53-15=38
Exploring Operation: 53-46=7, Resulting Numbers: [15, 7]
Generated Node #0,1,2: 56:[15, 7] Operation: 53-46=7
Exploring Operation: 46+15=61, Resulting Numbers: [53, 61]
Generated Node #0,1,3: 56:[53, 61] Operation: 46+15=61
Exploring Operation: 53+15=68, Resulting Numbers: [46, 68]
Generated Node #0,1,4: 56:[46, 68] Operation: 53+15=68
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 56:[15, 7], Operations: ['85-70=15', '53-46=7']
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,56 unequal: No Solution
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 56:[53, 31], Operations: ['85-70=15', '46-15=31']
Exploring Operation: 53+31=84, Resulting Numbers: [84]
84,56 unequal: No Solution
Exploring Operation: 53*31=1643, Resulting Numbers: [1643]
1643,56 unequal: No Solution
Exploring Operation: 53-31=22, Resulting Numbers: [22]
22,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 56:[53, 61], Operations: ['85-70=15', '46+15=61']
Exploring Operation: 53+61=114, Resulting Numbers: [114]
114,56 unequal: No Solution
Exploring Operation: 61-53=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 53*61=3233, Resulting Numbers: [3233]
3233,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 56:[46, 38], Operations: ['85-70=15', '53-15=38']
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 46+38=84, Resulting Numbers: [84]
84,56 unequal: No Solution
Exploring Operation: 46*38=1748, Resulting Numbers: [1748]
1748,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 56:[46, 68], Operations: ['85-70=15', '53+15=68']
Exploring Operation: 68-46=22, Resulting Numbers: [22]
22,56 unequal: No Solution
Exploring Operation: 46*68=3128, Resulting Numbers: [3128]
3128,56 unequal: No Solution
Exploring Operation: 46+68=114, Resulting Numbers: [114]
114,56 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: 56:[53, 70, 39], Operations: ['85-46=39']
Exploring Operation: 53+39=92, Resulting Numbers: [70, 92]
Generated Node #0,4,0: 56:[70, 92] Operation: 53+39=92
Exploring Operation: 70+39=109, Resulting Numbers: [53, 109]
Generated Node #0,4,1: 56:[53, 109] Operation: 70+39=109
Exploring Operation: 70-39=31, Resulting Numbers: [53, 31]
Generated Node #0,4,2: 56:[53, 31] Operation: 70-39=31
Exploring Operation: 70-53=17, Resulting Numbers: [39, 17]
Generated Node #0,4,3: 56:[39, 17] Operation: 70-53=17
Exploring Operation: 53-39=14, Resulting Numbers: [70, 14]
Generated Node #0,4,4: 56:[70, 14] Operation: 53-39=14
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 56:[53, 31], Operations: ['85-46=39', '70-39=31']
Exploring Operation: 53*31=1643, Resulting Numbers: [1643]
1643,56 unequal: No Solution
Exploring Operation: 53+31=84, Resulting Numbers: [84]
84,56 unequal: No Solution
Exploring Operation: 53-31=22, Resulting Numbers: [22]
22,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 56:[39, 17], Operations: ['85-46=39', '70-53=17']
Exploring Operation: 39*17=663, Resulting Numbers: [663]
663,56 unequal: No Solution
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[53, 46, 85, 70], Operations: []
Exploring Operation: 85-46=39, Resulting Numbers: [53, 70, 39]
Generated Node #0,4: 56:[53, 70, 39] Operation: 85-46=39
Moving to Node #0,4
Current State: 56:[53, 70, 39], Operations: ['85-46=39']
Exploring Operation: 70-53=17, Resulting Numbers: [39, 17]
Generated Node #0,4,3: 56:[39, 17] Operation: 70-53=17
Moving to Node #0,4,3
Current State: 56:[39, 17], Operations: ['85-46=39', '70-53=17']
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | sum_heuristic |
[
42,
31,
10,
6
] | 76 | [
"42-31=11",
"6*11=66",
"10+66=76"
] | Current State: 76:[42, 31, 10, 6], Operations: []
Exploring Operation: 42-31=11, Resulting Numbers: [10, 6, 11]
Generated Node #2: [10, 6, 11] from Operation: 42-31=11
Current State: 76:[10, 6, 11], Operations: ['42-31=11']
Exploring Operation: 6*11=66, Resulting Numbers: [10, 66]
Generated Node #3: [10, 66] from Operation: 6*11=66
Current State: 76:[10, 66], Operations: ['42-31=11', '6*11=66']
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[42, 31, 10, 6], Operations: []
Exploring Operation: 31-10=21, Resulting Numbers: [42, 6, 21]
Generated Node #0,0: 76:[42, 6, 21] Operation: 31-10=21
Moving to Node #0,0
Current State: 76:[42, 6, 21], Operations: ['31-10=21']
Exploring Operation: 42/21=2, Resulting Numbers: [6, 2]
Generated Node #0,0,0: 76:[6, 2] Operation: 42/21=2
Moving to Node #0,0,0
Current State: 76:[6, 2], Operations: ['31-10=21', '42/21=2']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,76 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
4,
82,
53,
13
] | 15 | [
"13-4=9",
"82+53=135",
"135/9=15"
] | Current State: 15:[4, 82, 53, 13], Operations: []
Exploring Operation: 13-4=9, Resulting Numbers: [82, 53, 9]
Generated Node #2: [82, 53, 9] from Operation: 13-4=9
Current State: 15:[82, 53, 9], Operations: ['13-4=9']
Exploring Operation: 82+53=135, Resulting Numbers: [9, 135]
Generated Node #3: [9, 135] from Operation: 82+53=135
Current State: 15:[9, 135], Operations: ['13-4=9', '82+53=135']
Exploring Operation: 135/9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[4, 82, 53, 13], Operations: []
Exploring Operation: 82-53=29, Resulting Numbers: [4, 13, 29]
Generated Node #0,0: 15:[4, 13, 29] Operation: 82-53=29
Exploring Operation: 82-13=69, Resulting Numbers: [4, 53, 69]
Generated Node #0,1: 15:[4, 53, 69] Operation: 82-13=69
Moving to Node #0,0
Current State: 15:[4, 13, 29], Operations: ['82-53=29']
Exploring Operation: 29-13=16, Resulting Numbers: [4, 16]
Generated Node #0,0,0: 15:[4, 16] Operation: 29-13=16
Exploring Operation: 29-4=25, Resulting Numbers: [13, 25]
Generated Node #0,0,1: 15:[13, 25] Operation: 29-4=25
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[4, 16], Operations: ['82-53=29', '29-13=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[13, 25], Operations: ['82-53=29', '29-4=25']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 15:[4, 53, 69], Operations: ['82-13=69']
Exploring Operation: 69-53=16, Resulting Numbers: [4, 16]
Generated Node #0,1,0: 15:[4, 16] Operation: 69-53=16
Exploring Operation: 53-4=49, Resulting Numbers: [69, 49]
Generated Node #0,1,1: 15:[69, 49] Operation: 53-4=49
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[4, 16], Operations: ['82-13=69', '69-53=16']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[69, 49], Operations: ['82-13=69', '53-4=49']
Exploring Operation: 69+49=118, Resulting Numbers: [118]
118,15 unequal: No Solution
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,15 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 |
[
82,
97,
50,
55
] | 74 | [
"82+97=179",
"50+55=105",
"179-105=74"
] | Current State: 74:[82, 97, 50, 55], Operations: []
Exploring Operation: 82+97=179, Resulting Numbers: [50, 55, 179]
Generated Node #2: [50, 55, 179] from Operation: 82+97=179
Current State: 74:[50, 55, 179], Operations: ['82+97=179']
Exploring Operation: 50+55=105, Resulting Numbers: [179, 105]
Generated Node #3: [179, 105] from Operation: 50+55=105
Current State: 74:[179, 105], Operations: ['82+97=179', '50+55=105']
Exploring Operation: 179-105=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[82, 97, 50, 55], Operations: []
Exploring Operation: 97-82=15, Resulting Numbers: [50, 55, 15]
Generated Node #0,0: 74:[50, 55, 15] Operation: 97-82=15
Exploring Operation: 97-55=42, Resulting Numbers: [82, 50, 42]
Generated Node #0,1: 74:[82, 50, 42] Operation: 97-55=42
Exploring Operation: 97-50=47, Resulting Numbers: [82, 55, 47]
Generated Node #0,2: 74:[82, 55, 47] Operation: 97-50=47
Exploring Operation: 55-50=5, Resulting Numbers: [82, 97, 5]
Generated Node #0,3: 74:[82, 97, 5] Operation: 55-50=5
Moving to Node #0,1
Current State: 74:[82, 50, 42], Operations: ['97-55=42']
Exploring Operation: 82-42=40, Resulting Numbers: [50, 40]
Generated Node #0,1,0: 74:[50, 40] Operation: 82-42=40
Exploring Operation: 50+42=92, Resulting Numbers: [82, 92]
Generated Node #0,1,1: 74:[82, 92] Operation: 50+42=92
Exploring Operation: 82-50=32, Resulting Numbers: [42, 32]
Generated Node #0,1,2: 74:[42, 32] Operation: 82-50=32
Exploring Operation: 50-42=8, Resulting Numbers: [82, 8]
Generated Node #0,1,3: 74:[82, 8] Operation: 50-42=8
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 74:[42, 32], Operations: ['97-55=42', '82-50=32']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Exploring Operation: 42+32=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[82, 97, 50, 55], Operations: []
Exploring Operation: 97-55=42, Resulting Numbers: [82, 50, 42]
Generated Node #0,1: 74:[82, 50, 42] Operation: 97-55=42
Moving to Node #0,1
Current State: 74:[82, 50, 42], Operations: ['97-55=42']
Exploring Operation: 82-50=32, Resulting Numbers: [42, 32]
Generated Node #0,1,2: 74:[42, 32] Operation: 82-50=32
Moving to Node #0,1,2
Current State: 74:[42, 32], Operations: ['97-55=42', '82-50=32']
Exploring Operation: 42+32=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
81,
86,
15,
62
] | 90 | [
"81+86=167",
"15+62=77",
"167-77=90"
] | Current State: 90:[81, 86, 15, 62], Operations: []
Exploring Operation: 81+86=167, Resulting Numbers: [15, 62, 167]
Generated Node #2: [15, 62, 167] from Operation: 81+86=167
Current State: 90:[15, 62, 167], Operations: ['81+86=167']
Exploring Operation: 15+62=77, Resulting Numbers: [167, 77]
Generated Node #3: [167, 77] from Operation: 15+62=77
Current State: 90:[167, 77], Operations: ['81+86=167', '15+62=77']
Exploring Operation: 167-77=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[81, 86, 15, 62], Operations: []
Exploring Operation: 86-62=24, Resulting Numbers: [81, 15, 24]
Generated Node #0,0: 90:[81, 15, 24] Operation: 86-62=24
Exploring Operation: 62-15=47, Resulting Numbers: [81, 86, 47]
Generated Node #0,1: 90:[81, 86, 47] Operation: 62-15=47
Exploring Operation: 86-81=5, Resulting Numbers: [15, 62, 5]
Generated Node #0,2: 90:[15, 62, 5] Operation: 86-81=5
Exploring Operation: 81-62=19, Resulting Numbers: [86, 15, 19]
Generated Node #0,3: 90:[86, 15, 19] Operation: 81-62=19
Moving to Node #0,3
Current State: 90:[86, 15, 19], Operations: ['81-62=19']
Exploring Operation: 86+19=105, Resulting Numbers: [15, 105]
Generated Node #0,3,0: 90:[15, 105] Operation: 86+19=105
Exploring Operation: 15+19=34, Resulting Numbers: [86, 34]
Generated Node #0,3,1: 90:[86, 34] Operation: 15+19=34
Exploring Operation: 86+15=101, Resulting Numbers: [19, 101]
Generated Node #0,3,2: 90:[19, 101] Operation: 86+15=101
Exploring Operation: 19-15=4, Resulting Numbers: [86, 4]
Generated Node #0,3,3: 90:[86, 4] Operation: 19-15=4
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 90:[86, 4], Operations: ['81-62=19', '19-15=4']
Exploring Operation: 86*4=344, Resulting Numbers: [344]
344,90 unequal: No Solution
Exploring Operation: 86+4=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[81, 86, 15, 62], Operations: []
Exploring Operation: 81-62=19, Resulting Numbers: [86, 15, 19]
Generated Node #0,3: 90:[86, 15, 19] Operation: 81-62=19
Moving to Node #0,3
Current State: 90:[86, 15, 19], Operations: ['81-62=19']
Exploring Operation: 19-15=4, Resulting Numbers: [86, 4]
Generated Node #0,3,3: 90:[86, 4] Operation: 19-15=4
Moving to Node #0,3,3
Current State: 90:[86, 4], Operations: ['81-62=19', '19-15=4']
Exploring Operation: 86+4=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
47,
92,
93,
89
] | 70 | [
"93-89=4",
"92/4=23",
"47+23=70"
] | Current State: 70:[47, 92, 93, 89], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [47, 92, 4]
Generated Node #2: [47, 92, 4] from Operation: 93-89=4
Current State: 70:[47, 92, 4], Operations: ['93-89=4']
Exploring Operation: 92/4=23, Resulting Numbers: [47, 23]
Generated Node #3: [47, 23] from Operation: 92/4=23
Current State: 70:[47, 23], Operations: ['93-89=4', '92/4=23']
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[47, 92, 93, 89], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [47, 93, 3]
Generated Node #0,0: 70:[47, 93, 3] Operation: 92-89=3
Exploring Operation: 93-92=1, Resulting Numbers: [47, 89, 1]
Generated Node #0,1: 70:[47, 89, 1] Operation: 93-92=1
Exploring Operation: 93-89=4, Resulting Numbers: [47, 92, 4]
Generated Node #0,2: 70:[47, 92, 4] Operation: 93-89=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[47, 89, 1], Operations: ['93-92=1']
Exploring Operation: 47-1=46, Resulting Numbers: [89, 46]
Generated Node #0,1,0: 70:[89, 46] Operation: 47-1=46
Exploring Operation: 89-47=42, Resulting Numbers: [1, 42]
Generated Node #0,1,1: 70:[1, 42] Operation: 89-47=42
Exploring Operation: 89-1=88, Resulting Numbers: [47, 88]
Generated Node #0,1,2: 70:[47, 88] Operation: 89-1=88
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 70:[1, 42], Operations: ['93-92=1', '89-47=42']
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,70 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,70 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 #0,1,0
Current State: 70:[89, 46], Operations: ['93-92=1', '47-1=46']
Exploring Operation: 89-46=43, Resulting Numbers: [43]
43,70 unequal: No Solution
Exploring Operation: 89*46=4094, Resulting Numbers: [4094]
4094,70 unequal: No Solution
Exploring Operation: 89+46=135, Resulting Numbers: [135]
135,70 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 #0,1,2
Current State: 70:[47, 88], Operations: ['93-92=1', '89-1=88']
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,70 unequal: No Solution
Exploring Operation: 47+88=135, Resulting Numbers: [135]
135,70 unequal: No Solution
Exploring Operation: 47*88=4136, Resulting Numbers: [4136]
4136,70 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 #0,2
Current State: 70:[47, 92, 4], Operations: ['93-89=4']
Exploring Operation: 92/4=23, Resulting Numbers: [47, 23]
Generated Node #0,2,0: 70:[47, 23] Operation: 92/4=23
Exploring Operation: 92-47=45, Resulting Numbers: [4, 45]
Generated Node #0,2,1: 70:[4, 45] Operation: 92-47=45
Exploring Operation: 47-4=43, Resulting Numbers: [92, 43]
Generated Node #0,2,2: 70:[92, 43] Operation: 47-4=43
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 70:[4, 45], Operations: ['93-89=4', '92-47=45']
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,70 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,70 unequal: No Solution
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,70 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 #0,2,0
Current State: 70:[47, 23], Operations: ['93-89=4', '92/4=23']
Exploring Operation: 47*23=1081, Resulting Numbers: [1081]
1081,70 unequal: No Solution
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,70 unequal: No Solution
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[47, 92, 93, 89], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [47, 92, 4]
Generated Node #0,2: 70:[47, 92, 4] Operation: 93-89=4
Moving to Node #0,2
Current State: 70:[47, 92, 4], Operations: ['93-89=4']
Exploring Operation: 92/4=23, Resulting Numbers: [47, 23]
Generated Node #0,2,0: 70:[47, 23] Operation: 92/4=23
Moving to Node #0,2,0
Current State: 70:[47, 23], Operations: ['93-89=4', '92/4=23']
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.975694 | hs_3 | sum_heuristic |
[
51,
80,
72,
87
] | 78 | [
"87-51=36",
"72/36=2",
"80-2=78"
] | Current State: 78:[51, 80, 72, 87], Operations: []
Exploring Operation: 87-51=36, Resulting Numbers: [80, 72, 36]
Generated Node #2: [80, 72, 36] from Operation: 87-51=36
Current State: 78:[80, 72, 36], Operations: ['87-51=36']
Exploring Operation: 72/36=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 72/36=2
Current State: 78:[80, 2], Operations: ['87-51=36', '72/36=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[51, 80, 72, 87], Operations: []
Exploring Operation: 87-51=36, Resulting Numbers: [80, 72, 36]
Generated Node #0,0: 78:[80, 72, 36] Operation: 87-51=36
Exploring Operation: 72-51=21, Resulting Numbers: [80, 87, 21]
Generated Node #0,1: 78:[80, 87, 21] Operation: 72-51=21
Exploring Operation: 80-51=29, Resulting Numbers: [72, 87, 29]
Generated Node #0,2: 78:[72, 87, 29] Operation: 80-51=29
Exploring Operation: 87-72=15, Resulting Numbers: [51, 80, 15]
Generated Node #0,3: 78:[51, 80, 15] Operation: 87-72=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[80, 72, 36], Operations: ['87-51=36']
Exploring Operation: 72/36=2, Resulting Numbers: [80, 2]
Generated Node #0,0,0: 78:[80, 2] Operation: 72/36=2
Exploring Operation: 80-36=44, Resulting Numbers: [72, 44]
Generated Node #0,0,1: 78:[72, 44] Operation: 80-36=44
Exploring Operation: 72-36=36, Resulting Numbers: [80, 36]
Generated Node #0,0,2: 78:[80, 36] Operation: 72-36=36
Exploring Operation: 80-72=8, Resulting Numbers: [36, 8]
Generated Node #0,0,3: 78:[36, 8] Operation: 80-72=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[80, 2], Operations: ['87-51=36', '72/36=2']
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,78 unequal: No Solution
Exploring Operation: 80*2=160, Resulting Numbers: [160]
160,78 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[51, 80, 72, 87], Operations: []
Exploring Operation: 87-51=36, Resulting Numbers: [80, 72, 36]
Generated Node #0,0: 78:[80, 72, 36] Operation: 87-51=36
Moving to Node #0,0
Current State: 78:[80, 72, 36], Operations: ['87-51=36']
Exploring Operation: 72/36=2, Resulting Numbers: [80, 2]
Generated Node #0,0,0: 78:[80, 2] Operation: 72/36=2
Moving to Node #0,0,0
Current State: 78:[80, 2], Operations: ['87-51=36', '72/36=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
60,
42,
33,
86
] | 17 | [
"60+42=102",
"33+86=119",
"119-102=17"
] | Current State: 17:[60, 42, 33, 86], Operations: []
Exploring Operation: 60+42=102, Resulting Numbers: [33, 86, 102]
Generated Node #2: [33, 86, 102] from Operation: 60+42=102
Current State: 17:[33, 86, 102], Operations: ['60+42=102']
Exploring Operation: 33+86=119, Resulting Numbers: [102, 119]
Generated Node #3: [102, 119] from Operation: 33+86=119
Current State: 17:[102, 119], Operations: ['60+42=102', '33+86=119']
Exploring Operation: 119-102=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[60, 42, 33, 86], Operations: []
Exploring Operation: 86-60=26, Resulting Numbers: [42, 33, 26]
Generated Node #0,0: 17:[42, 33, 26] Operation: 86-60=26
Exploring Operation: 60-42=18, Resulting Numbers: [33, 86, 18]
Generated Node #0,1: 17:[33, 86, 18] Operation: 60-42=18
Exploring Operation: 60-33=27, Resulting Numbers: [42, 86, 27]
Generated Node #0,2: 17:[42, 86, 27] Operation: 60-33=27
Exploring Operation: 86-42=44, Resulting Numbers: [60, 33, 44]
Generated Node #0,3: 17:[60, 33, 44] Operation: 86-42=44
Moving to Node #0,0
Current State: 17:[42, 33, 26], Operations: ['86-60=26']
Exploring Operation: 42+33=75, Resulting Numbers: [26, 75]
Generated Node #0,0,0: 17:[26, 75] Operation: 42+33=75
Exploring Operation: 42-26=16, Resulting Numbers: [33, 16]
Generated Node #0,0,1: 17:[33, 16] Operation: 42-26=16
Exploring Operation: 33-26=7, Resulting Numbers: [42, 7]
Generated Node #0,0,2: 17:[42, 7] Operation: 33-26=7
Exploring Operation: 42-33=9, Resulting Numbers: [26, 9]
Generated Node #0,0,3: 17:[26, 9] Operation: 42-33=9
Moving to Node #0,3
Current State: 17:[60, 33, 44], Operations: ['86-42=44']
Exploring Operation: 60-44=16, Resulting Numbers: [33, 16]
Generated Node #0,3,0: 17:[33, 16] Operation: 60-44=16
Exploring Operation: 60-33=27, Resulting Numbers: [44, 27]
Generated Node #0,3,1: 17:[44, 27] Operation: 60-33=27
Exploring Operation: 60+33=93, Resulting Numbers: [44, 93]
Generated Node #0,3,2: 17:[44, 93] Operation: 60+33=93
Exploring Operation: 44-33=11, Resulting Numbers: [60, 11]
Generated Node #0,3,3: 17:[60, 11] Operation: 44-33=11
Moving to Node #0,1
Current State: 17:[33, 86, 18], Operations: ['60-42=18']
Exploring Operation: 86-18=68, Resulting Numbers: [33, 68]
Generated Node #0,1,0: 17:[33, 68] Operation: 86-18=68
Exploring Operation: 86-33=53, Resulting Numbers: [18, 53]
Generated Node #0,1,1: 17:[18, 53] Operation: 86-33=53
Exploring Operation: 33-18=15, Resulting Numbers: [86, 15]
Generated Node #0,1,2: 17:[86, 15] Operation: 33-18=15
Exploring Operation: 33+86=119, Resulting Numbers: [18, 119]
Generated Node #0,1,3: 17:[18, 119] Operation: 33+86=119
Moving to Node #0,2
Current State: 17:[42, 86, 27], Operations: ['60-33=27']
Exploring Operation: 42-27=15, Resulting Numbers: [86, 15]
Generated Node #0,2,0: 17:[86, 15] Operation: 42-27=15
Exploring Operation: 42+86=128, Resulting Numbers: [27, 128]
Generated Node #0,2,1: 17:[27, 128] Operation: 42+86=128
Exploring Operation: 86-42=44, Resulting Numbers: [27, 44]
Generated Node #0,2,2: 17:[27, 44] Operation: 86-42=44
Exploring Operation: 86-27=59, Resulting Numbers: [42, 59]
Generated Node #0,2,3: 17:[42, 59] Operation: 86-27=59
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 17:[27, 44], Operations: ['60-33=27', '86-42=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[60, 42, 33, 86], Operations: []
Exploring Operation: 60-33=27, Resulting Numbers: [42, 86, 27]
Generated Node #0,2: 17:[42, 86, 27] Operation: 60-33=27
Moving to Node #0,2
Current State: 17:[42, 86, 27], Operations: ['60-33=27']
Exploring Operation: 86-42=44, Resulting Numbers: [27, 44]
Generated Node #0,2,2: 17:[27, 44] Operation: 86-42=44
Moving to Node #0,2,2
Current State: 17:[27, 44], Operations: ['60-33=27', '86-42=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | sum_heuristic |
[
60,
48,
25,
37
] | 17 | [
"48*25=1200",
"1200/60=20",
"37-20=17"
] | Current State: 17:[60, 48, 25, 37], Operations: []
Exploring Operation: 48*25=1200, Resulting Numbers: [60, 37, 1200]
Generated Node #2: [60, 37, 1200] from Operation: 48*25=1200
Current State: 17:[60, 37, 1200], Operations: ['48*25=1200']
Exploring Operation: 1200/60=20, Resulting Numbers: [37, 20]
Generated Node #3: [37, 20] from Operation: 1200/60=20
Current State: 17:[37, 20], Operations: ['48*25=1200', '1200/60=20']
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[60, 48, 25, 37], Operations: []
Exploring Operation: 60-48=12, Resulting Numbers: [25, 37, 12]
Generated Node #0,0: 17:[25, 37, 12] Operation: 60-48=12
Moving to Node #0,0
Current State: 17:[25, 37, 12], Operations: ['60-48=12']
Exploring Operation: 37-25=12, Resulting Numbers: [12, 12]
Generated Node #0,0,0: 17:[12, 12] Operation: 37-25=12
Moving to Node #0,0,0
Current State: 17:[12, 12], Operations: ['60-48=12', '37-25=12']
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,17 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
10,
84,
47,
34
] | 36 | [
"10+84=94",
"94/47=2",
"34+2=36"
] | Current State: 36:[10, 84, 47, 34], Operations: []
Exploring Operation: 10+84=94, Resulting Numbers: [47, 34, 94]
Generated Node #2: [47, 34, 94] from Operation: 10+84=94
Current State: 36:[47, 34, 94], Operations: ['10+84=94']
Exploring Operation: 94/47=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 94/47=2
Current State: 36:[34, 2], Operations: ['10+84=94', '94/47=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[10, 84, 47, 34], Operations: []
Exploring Operation: 84-47=37, Resulting Numbers: [10, 34, 37]
Generated Node #0,0: 36:[10, 34, 37] Operation: 84-47=37
Moving to Node #0,0
Current State: 36:[10, 34, 37], Operations: ['84-47=37']
Exploring Operation: 37-34=3, Resulting Numbers: [10, 3]
Generated Node #0,0,0: 36:[10, 3] Operation: 37-34=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[10, 3], Operations: ['84-47=37', '37-34=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,36 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 |
[
12,
46,
62,
38
] | 92 | [
"62-38=24",
"24/12=2",
"46*2=92"
] | Current State: 92:[12, 46, 62, 38], Operations: []
Exploring Operation: 62-38=24, Resulting Numbers: [12, 46, 24]
Generated Node #2: [12, 46, 24] from Operation: 62-38=24
Current State: 92:[12, 46, 24], Operations: ['62-38=24']
Exploring Operation: 24/12=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 24/12=2
Current State: 92:[46, 2], Operations: ['62-38=24', '24/12=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[12, 46, 62, 38], Operations: []
Exploring Operation: 38-12=26, Resulting Numbers: [46, 62, 26]
Generated Node #0,0: 92:[46, 62, 26] Operation: 38-12=26
Exploring Operation: 62+38=100, Resulting Numbers: [12, 46, 100]
Generated Node #0,1: 92:[12, 46, 100] Operation: 62+38=100
Exploring Operation: 62-12=50, Resulting Numbers: [46, 38, 50]
Generated Node #0,2: 92:[46, 38, 50] Operation: 62-12=50
Exploring Operation: 12+38=50, Resulting Numbers: [46, 62, 50]
Generated Node #0,3: 92:[46, 62, 50] Operation: 12+38=50
Exploring Operation: 62-38=24, Resulting Numbers: [12, 46, 24]
Generated Node #0,4: 92:[12, 46, 24] Operation: 62-38=24
Start Sub Search at level 1: Moving to Node #0,4
Current State: 92:[12, 46, 24], Operations: ['62-38=24']
Exploring Operation: 46-24=22, Resulting Numbers: [12, 22]
Generated Node #0,4,0: 92:[12, 22] Operation: 46-24=22
Exploring Operation: 46-12=34, Resulting Numbers: [24, 34]
Generated Node #0,4,1: 92:[24, 34] Operation: 46-12=34
Exploring Operation: 24-12=12, Resulting Numbers: [46, 12]
Generated Node #0,4,2: 92:[46, 12] Operation: 24-12=12
Exploring Operation: 12+24=36, Resulting Numbers: [46, 36]
Generated Node #0,4,3: 92:[46, 36] Operation: 12+24=36
Exploring Operation: 24/12=2, Resulting Numbers: [46, 2]
Generated Node #0,4,4: 92:[46, 2] Operation: 24/12=2
Moving to Node #0,4,4
Current State: 92:[46, 2], Operations: ['62-38=24', '24/12=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[12, 46, 62, 38], Operations: []
Exploring Operation: 62-38=24, Resulting Numbers: [12, 46, 24]
Generated Node #0,4: 92:[12, 46, 24] Operation: 62-38=24
Moving to Node #0,4
Current State: 92:[12, 46, 24], Operations: ['62-38=24']
Exploring Operation: 24/12=2, Resulting Numbers: [46, 2]
Generated Node #0,4,4: 92:[46, 2] Operation: 24/12=2
Moving to Node #0,4,4
Current State: 92:[46, 2], Operations: ['62-38=24', '24/12=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
17,
66,
60,
51
] | 58 | [
"66-17=49",
"60-51=9",
"49+9=58"
] | Current State: 58:[17, 66, 60, 51], Operations: []
Exploring Operation: 66-17=49, Resulting Numbers: [60, 51, 49]
Generated Node #2: [60, 51, 49] from Operation: 66-17=49
Current State: 58:[60, 51, 49], Operations: ['66-17=49']
Exploring Operation: 60-51=9, Resulting Numbers: [49, 9]
Generated Node #3: [49, 9] from Operation: 60-51=9
Current State: 58:[49, 9], Operations: ['66-17=49', '60-51=9']
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[17, 66, 60, 51], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [66, 60, 3]
Generated Node #0,0: 58:[66, 60, 3] Operation: 51/17=3
Exploring Operation: 51-17=34, Resulting Numbers: [66, 60, 34]
Generated Node #0,1: 58:[66, 60, 34] Operation: 51-17=34
Moving to Node #0,0
Current State: 58:[66, 60, 3], Operations: ['51/17=3']
Exploring Operation: 66-60=6, Resulting Numbers: [3, 6]
Generated Node #0,0,0: 58:[3, 6] Operation: 66-60=6
Exploring Operation: 66-3=63, Resulting Numbers: [60, 63]
Generated Node #0,0,1: 58:[60, 63] Operation: 66-3=63
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[3, 6], Operations: ['51/17=3', '66-60=6']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,58 unequal: No Solution
No 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: 58:[60, 63], Operations: ['51/17=3', '66-3=63']
Exploring Operation: 60+63=123, Resulting Numbers: [123]
123,58 unequal: No Solution
Exploring Operation: 63-60=3, Resulting Numbers: [3]
3,58 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: 58:[66, 60, 34], Operations: ['51-17=34']
Exploring Operation: 66-60=6, Resulting Numbers: [34, 6]
Generated Node #0,1,0: 58:[34, 6] Operation: 66-60=6
Exploring Operation: 66-34=32, Resulting Numbers: [60, 32]
Generated Node #0,1,1: 58:[60, 32] Operation: 66-34=32
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[60, 32], Operations: ['51-17=34', '66-34=32']
Exploring Operation: 60+32=92, Resulting Numbers: [92]
92,58 unequal: No Solution
Exploring Operation: 60-32=28, Resulting Numbers: [28]
28,58 unequal: No Solution
No solution 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: 58:[34, 6], Operations: ['51-17=34', '66-60=6']
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,58 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,58 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 |
[
31,
9,
70,
97
] | 13 | [
"31+9=40",
"97-70=27",
"40-27=13"
] | Current State: 13:[31, 9, 70, 97], Operations: []
Exploring Operation: 31+9=40, Resulting Numbers: [70, 97, 40]
Generated Node #2: [70, 97, 40] from Operation: 31+9=40
Current State: 13:[70, 97, 40], Operations: ['31+9=40']
Exploring Operation: 97-70=27, Resulting Numbers: [40, 27]
Generated Node #3: [40, 27] from Operation: 97-70=27
Current State: 13:[40, 27], Operations: ['31+9=40', '97-70=27']
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[31, 9, 70, 97], Operations: []
Exploring Operation: 97-70=27, Resulting Numbers: [31, 9, 27]
Generated Node #0,0: 13:[31, 9, 27] Operation: 97-70=27
Moving to Node #0,0
Current State: 13:[31, 9, 27], Operations: ['97-70=27']
Exploring Operation: 31-27=4, Resulting Numbers: [9, 4]
Generated Node #0,0,0: 13:[9, 4] Operation: 31-27=4
Moving to Node #0,0,0
Current State: 13:[9, 4], Operations: ['97-70=27', '31-27=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[31, 9, 70, 97], Operations: []
Exploring Operation: 97-70=27, Resulting Numbers: [31, 9, 27]
Generated Node #0,0: 13:[31, 9, 27] Operation: 97-70=27
Moving to Node #0,0
Current State: 13:[31, 9, 27], Operations: ['97-70=27']
Exploring Operation: 31-27=4, Resulting Numbers: [9, 4]
Generated Node #0,0,0: 13:[9, 4] Operation: 31-27=4
Moving to Node #0,0,0
Current State: 13:[9, 4], Operations: ['97-70=27', '31-27=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
12,
23,
23,
85
] | 51 | [
"23-12=11",
"85-23=62",
"62-11=51"
] | Current State: 51:[12, 23, 23, 85], Operations: []
Exploring Operation: 23-12=11, Resulting Numbers: [85, 11]
Generated Node #2: [85, 11] from Operation: 23-12=11
Current State: 51:[85, 11], Operations: ['23-12=11']
Exploring Operation: 85-23=62, Resulting Numbers: [11, 62]
Generated Node #3: [11, 62] from Operation: 85-23=62
Current State: 51:[11, 62], Operations: ['23-12=11', '85-23=62']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[12, 23, 23, 85], Operations: []
Exploring Operation: 85-23=62, Resulting Numbers: [12, 23, 62]
Generated Node #0,0: 51:[12, 23, 62] Operation: 85-23=62
Exploring Operation: 85-23=62, Resulting Numbers: [12, 23, 62]
Generated Node #0,1: 51:[12, 23, 62] Operation: 85-23=62
Exploring Operation: 85-12=73, Resulting Numbers: [23, 23, 73]
Generated Node #0,2: 51:[23, 23, 73] Operation: 85-12=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[12, 23, 62], Operations: ['85-23=62']
Exploring Operation: 23-12=11, Resulting Numbers: [62, 11]
Generated Node #0,0,0: 51:[62, 11] Operation: 23-12=11
Exploring Operation: 62-12=50, Resulting Numbers: [23, 50]
Generated Node #0,0,1: 51:[23, 50] Operation: 62-12=50
Exploring Operation: 62-23=39, Resulting Numbers: [12, 39]
Generated Node #0,0,2: 51:[12, 39] Operation: 62-23=39
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[23, 50], Operations: ['85-23=62', '62-12=50']
Exploring Operation: 23+50=73, Resulting Numbers: [73]
73,51 unequal: No Solution
Exploring Operation: 23*50=1150, Resulting Numbers: [1150]
1150,51 unequal: No Solution
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[62, 11], Operations: ['85-23=62', '23-12=11']
Exploring Operation: 62+11=73, Resulting Numbers: [73]
73,51 unequal: No Solution
Exploring Operation: 62*11=682, Resulting Numbers: [682]
682,51 unequal: No Solution
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[12, 23, 23, 85], Operations: []
Exploring Operation: 85-23=62, Resulting Numbers: [12, 23, 62]
Generated Node #0,0: 51:[12, 23, 62] Operation: 85-23=62
Moving to Node #0,0
Current State: 51:[12, 23, 62], Operations: ['85-23=62']
Exploring Operation: 23-12=11, Resulting Numbers: [62, 11]
Generated Node #0,0,0: 51:[62, 11] Operation: 23-12=11
Moving to Node #0,0,0
Current State: 51:[62, 11], Operations: ['85-23=62', '23-12=11']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
14,
16,
38,
80
] | 40 | [
"16-14=2",
"80-38=42",
"42-2=40"
] | Current State: 40:[14, 16, 38, 80], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [38, 80, 2]
Generated Node #2: [38, 80, 2] from Operation: 16-14=2
Current State: 40:[38, 80, 2], Operations: ['16-14=2']
Exploring Operation: 80-38=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 80-38=42
Current State: 40:[2, 42], Operations: ['16-14=2', '80-38=42']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[14, 16, 38, 80], Operations: []
Exploring Operation: 80-14=66, Resulting Numbers: [16, 38, 66]
Generated Node #0,0: 40:[16, 38, 66] Operation: 80-14=66
Exploring Operation: 80-16=64, Resulting Numbers: [14, 38, 64]
Generated Node #0,1: 40:[14, 38, 64] Operation: 80-16=64
Exploring Operation: 80-38=42, Resulting Numbers: [14, 16, 42]
Generated Node #0,2: 40:[14, 16, 42] Operation: 80-38=42
Exploring Operation: 80/16=5, Resulting Numbers: [14, 38, 5]
Generated Node #0,3: 40:[14, 38, 5] Operation: 80/16=5
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[14, 38, 5], Operations: ['80/16=5']
Exploring Operation: 14-5=9, Resulting Numbers: [38, 9]
Generated Node #0,3,0: 40:[38, 9] Operation: 14-5=9
Exploring Operation: 14+5=19, Resulting Numbers: [38, 19]
Generated Node #0,3,1: 40:[38, 19] Operation: 14+5=19
Exploring Operation: 38-14=24, Resulting Numbers: [5, 24]
Generated Node #0,3,2: 40:[5, 24] Operation: 38-14=24
Exploring Operation: 38+5=43, Resulting Numbers: [14, 43]
Generated Node #0,3,3: 40:[14, 43] Operation: 38+5=43
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 40:[38, 9], Operations: ['80/16=5', '14-5=9']
Exploring Operation: 38*9=342, Resulting Numbers: [342]
342,40 unequal: No Solution
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 38+9=47, Resulting Numbers: [47]
47,40 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 #0,3,1
Current State: 40:[38, 19], Operations: ['80/16=5', '14+5=19']
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 38+19=57, Resulting Numbers: [57]
57,40 unequal: No Solution
Exploring Operation: 38*19=722, Resulting Numbers: [722]
722,40 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,40 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 #0,3,2
Current State: 40:[5, 24], Operations: ['80/16=5', '38-14=24']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,40 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,40 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 #0,3,3
Current State: 40:[14, 43], Operations: ['80/16=5', '38+5=43']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 14*43=602, Resulting Numbers: [602]
602,40 unequal: No Solution
Exploring Operation: 14+43=57, Resulting Numbers: [57]
57,40 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 #0,2
Current State: 40:[14, 16, 42], Operations: ['80-38=42']
Exploring Operation: 16-14=2, Resulting Numbers: [42, 2]
Generated Node #0,2,0: 40:[42, 2] Operation: 16-14=2
Exploring Operation: 14+16=30, Resulting Numbers: [42, 30]
Generated Node #0,2,1: 40:[42, 30] Operation: 14+16=30
Exploring Operation: 42/14=3, Resulting Numbers: [16, 3]
Generated Node #0,2,2: 40:[16, 3] Operation: 42/14=3
Exploring Operation: 42-16=26, Resulting Numbers: [14, 26]
Generated Node #0,2,3: 40:[14, 26] Operation: 42-16=26
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 40:[42, 2], Operations: ['80-38=42', '16-14=2']
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,40 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,40 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[14, 16, 38, 80], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [14, 16, 42]
Generated Node #0,2: 40:[14, 16, 42] Operation: 80-38=42
Moving to Node #0,2
Current State: 40:[14, 16, 42], Operations: ['80-38=42']
Exploring Operation: 16-14=2, Resulting Numbers: [42, 2]
Generated Node #0,2,0: 40:[42, 2] Operation: 16-14=2
Moving to Node #0,2,0
Current State: 40:[42, 2], Operations: ['80-38=42', '16-14=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
70,
8,
72,
99
] | 35 | [
"70-8=62",
"99-72=27",
"62-27=35"
] | Current State: 35:[70, 8, 72, 99], Operations: []
Exploring Operation: 70-8=62, Resulting Numbers: [72, 99, 62]
Generated Node #2: [72, 99, 62] from Operation: 70-8=62
Current State: 35:[72, 99, 62], Operations: ['70-8=62']
Exploring Operation: 99-72=27, Resulting Numbers: [62, 27]
Generated Node #3: [62, 27] from Operation: 99-72=27
Current State: 35:[62, 27], Operations: ['70-8=62', '99-72=27']
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[70, 8, 72, 99], Operations: []
Exploring Operation: 99-72=27, Resulting Numbers: [70, 8, 27]
Generated Node #0,0: 35:[70, 8, 27] Operation: 99-72=27
Exploring Operation: 99-70=29, Resulting Numbers: [8, 72, 29]
Generated Node #0,1: 35:[8, 72, 29] Operation: 99-70=29
Moving to Node #0,0
Current State: 35:[70, 8, 27], Operations: ['99-72=27']
Exploring Operation: 70-27=43, Resulting Numbers: [8, 43]
Generated Node #0,0,0: 35:[8, 43] Operation: 70-27=43
Exploring Operation: 70-8=62, Resulting Numbers: [27, 62]
Generated Node #0,0,1: 35:[27, 62] Operation: 70-8=62
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[8, 43], Operations: ['99-72=27', '70-27=43']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[70, 8, 72, 99], Operations: []
Exploring Operation: 99-72=27, Resulting Numbers: [70, 8, 27]
Generated Node #0,0: 35:[70, 8, 27] Operation: 99-72=27
Moving to Node #0,0
Current State: 35:[70, 8, 27], Operations: ['99-72=27']
Exploring Operation: 70-27=43, Resulting Numbers: [8, 43]
Generated Node #0,0,0: 35:[8, 43] Operation: 70-27=43
Moving to Node #0,0,0
Current State: 35:[8, 43], Operations: ['99-72=27', '70-27=43']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
15,
41,
3,
85
] | 47 | [
"15+41=56",
"85+56=141",
"141/3=47"
] | Current State: 47:[15, 41, 3, 85], Operations: []
Exploring Operation: 15+41=56, Resulting Numbers: [3, 85, 56]
Generated Node #2: [3, 85, 56] from Operation: 15+41=56
Current State: 47:[3, 85, 56], Operations: ['15+41=56']
Exploring Operation: 85+56=141, Resulting Numbers: [3, 141]
Generated Node #3: [3, 141] from Operation: 85+56=141
Current State: 47:[3, 141], Operations: ['15+41=56', '85+56=141']
Exploring Operation: 141/3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[15, 41, 3, 85], Operations: []
Exploring Operation: 15*3=45, Resulting Numbers: [41, 85, 45]
Generated Node #0,0: 47:[41, 85, 45] Operation: 15*3=45
Exploring Operation: 85-15=70, Resulting Numbers: [41, 3, 70]
Generated Node #0,1: 47:[41, 3, 70] Operation: 85-15=70
Exploring Operation: 15+3=18, Resulting Numbers: [41, 85, 18]
Generated Node #0,2: 47:[41, 85, 18] Operation: 15+3=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[41, 85, 45], Operations: ['15*3=45']
Exploring Operation: 85-45=40, Resulting Numbers: [41, 40]
Generated Node #0,0,0: 47:[41, 40] Operation: 85-45=40
Exploring Operation: 41+45=86, Resulting Numbers: [85, 86]
Generated Node #0,0,1: 47:[85, 86] Operation: 41+45=86
Exploring Operation: 85-41=44, Resulting Numbers: [45, 44]
Generated Node #0,0,2: 47:[45, 44] Operation: 85-41=44
Moving to Node #0,0,2
Current State: 47:[45, 44], Operations: ['15*3=45', '85-41=44']
Exploring Operation: 45*44=1980, Resulting Numbers: [1980]
1980,47 unequal: No Solution
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 45+44=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[41, 40], Operations: ['15*3=45', '85-45=40']
Exploring Operation: 41*40=1640, Resulting Numbers: [1640]
1640,47 unequal: No Solution
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[85, 86], Operations: ['15*3=45', '41+45=86']
Exploring Operation: 86-85=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 85+86=171, Resulting Numbers: [171]
171,47 unequal: No Solution
Exploring Operation: 85*86=7310, Resulting Numbers: [7310]
7310,47 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:[41, 3, 70], Operations: ['85-15=70']
Exploring Operation: 70-3=67, Resulting Numbers: [41, 67]
Generated Node #0,1,0: 47:[41, 67] Operation: 70-3=67
Exploring Operation: 41+3=44, Resulting Numbers: [70, 44]
Generated Node #0,1,1: 47:[70, 44] Operation: 41+3=44
Exploring Operation: 41-3=38, Resulting Numbers: [70, 38]
Generated Node #0,1,2: 47:[70, 38] Operation: 41-3=38
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[41, 67], Operations: ['85-15=70', '70-3=67']
Exploring Operation: 41*67=2747, Resulting Numbers: [2747]
2747,47 unequal: No Solution
Exploring Operation: 67-41=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Exploring Operation: 41+67=108, Resulting Numbers: [108]
108,47 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:[70, 44], Operations: ['85-15=70', '41+3=44']
Exploring Operation: 70+44=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 70*44=3080, Resulting Numbers: [3080]
3080,47 unequal: No Solution
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,47 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 #0,1,2
Current State: 47:[70, 38], Operations: ['85-15=70', '41-3=38']
Exploring Operation: 70-38=32, Resulting Numbers: [32]
32,47 unequal: No Solution
Exploring Operation: 70*38=2660, Resulting Numbers: [2660]
2660,47 unequal: No Solution
Exploring Operation: 70+38=108, Resulting Numbers: [108]
108,47 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 #0,2
Current State: 47:[41, 85, 18], Operations: ['15+3=18']
Exploring Operation: 85-41=44, Resulting Numbers: [18, 44]
Generated Node #0,2,0: 47:[18, 44] Operation: 85-41=44
Exploring Operation: 41+18=59, Resulting Numbers: [85, 59]
Generated Node #0,2,1: 47:[85, 59] Operation: 41+18=59
Exploring Operation: 85-18=67, Resulting Numbers: [41, 67]
Generated Node #0,2,2: 47:[41, 67] Operation: 85-18=67
Moving to Node #0,2,2
Current State: 47:[41, 67], Operations: ['15+3=18', '85-18=67']
Exploring Operation: 67-41=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Exploring Operation: 41+67=108, Resulting Numbers: [108]
108,47 unequal: No Solution
Exploring Operation: 41*67=2747, Resulting Numbers: [2747]
2747,47 unequal: No Solution
Moving to Node #0,2,0
Current State: 47:[18, 44], Operations: ['15+3=18', '85-41=44']
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,47 unequal: No Solution
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Exploring Operation: 18*44=792, Resulting Numbers: [792]
792,47 unequal: No Solution
Moving to Node #0,2,1
Current State: 47:[85, 59], Operations: ['15+3=18', '41+18=59']
Exploring Operation: 85-59=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Exploring Operation: 85*59=5015, Resulting Numbers: [5015]
5015,47 unequal: No Solution
Exploring Operation: 85+59=144, Resulting Numbers: [144]
144,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
45,
37,
50,
86
] | 45 | [
"37+50=87",
"87-86=1",
"45*1=45"
] | Current State: 45:[45, 37, 50, 86], Operations: []
Exploring Operation: 37+50=87, Resulting Numbers: [45, 86, 87]
Generated Node #2: [45, 86, 87] from Operation: 37+50=87
Current State: 45:[45, 86, 87], Operations: ['37+50=87']
Exploring Operation: 87-86=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 87-86=1
Current State: 45:[45, 1], Operations: ['37+50=87', '87-86=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[45, 37, 50, 86], Operations: []
Exploring Operation: 86-45=41, Resulting Numbers: [37, 50, 41]
Generated Node #0,0: 45:[37, 50, 41] Operation: 86-45=41
Exploring Operation: 86-37=49, Resulting Numbers: [45, 50, 49]
Generated Node #0,1: 45:[45, 50, 49] Operation: 86-37=49
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[45, 50, 49], Operations: ['86-37=49']
Exploring Operation: 50-49=1, Resulting Numbers: [45, 1]
Generated Node #0,1,0: 45:[45, 1] Operation: 50-49=1
Exploring Operation: 50-45=5, Resulting Numbers: [49, 5]
Generated Node #0,1,1: 45:[49, 5] Operation: 50-45=5
Moving to Node #0,1,0
Current State: 45:[45, 1], Operations: ['86-37=49', '50-49=1']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[45, 37, 50, 86], Operations: []
Exploring Operation: 86-37=49, Resulting Numbers: [45, 50, 49]
Generated Node #0,1: 45:[45, 50, 49] Operation: 86-37=49
Moving to Node #0,1
Current State: 45:[45, 50, 49], Operations: ['86-37=49']
Exploring Operation: 50-49=1, Resulting Numbers: [45, 1]
Generated Node #0,1,0: 45:[45, 1] Operation: 50-49=1
Moving to Node #0,1,0
Current State: 45:[45, 1], Operations: ['86-37=49', '50-49=1']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
52,
79,
12,
1
] | 83 | [
"12+1=13",
"52/13=4",
"79+4=83"
] | Current State: 83:[52, 79, 12, 1], Operations: []
Exploring Operation: 12+1=13, Resulting Numbers: [52, 79, 13]
Generated Node #2: [52, 79, 13] from Operation: 12+1=13
Current State: 83:[52, 79, 13], Operations: ['12+1=13']
Exploring Operation: 52/13=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 52/13=4
Current State: 83:[79, 4], Operations: ['12+1=13', '52/13=4']
Exploring Operation: 79+4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[52, 79, 12, 1], Operations: []
Exploring Operation: 52+12=64, Resulting Numbers: [79, 1, 64]
Generated Node #0,0: 83:[79, 1, 64] Operation: 52+12=64
Exploring Operation: 52+1=53, Resulting Numbers: [79, 12, 53]
Generated Node #0,1: 83:[79, 12, 53] Operation: 52+1=53
Exploring Operation: 79+1=80, Resulting Numbers: [52, 12, 80]
Generated Node #0,2: 83:[52, 12, 80] Operation: 79+1=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[79, 1, 64], Operations: ['52+12=64']
Exploring Operation: 79+1=80, Resulting Numbers: [64, 80]
Generated Node #0,0,0: 83:[64, 80] Operation: 79+1=80
Exploring Operation: 79*1=79, Resulting Numbers: [64, 79]
Generated Node #0,0,1: 83:[64, 79] Operation: 79*1=79
Exploring Operation: 1+64=65, Resulting Numbers: [79, 65]
Generated Node #0,0,2: 83:[79, 65] Operation: 1+64=65
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[64, 80], Operations: ['52+12=64', '79+1=80']
Exploring Operation: 80-64=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 64+80=144, Resulting Numbers: [144]
144,83 unequal: No Solution
Exploring Operation: 64*80=5120, Resulting Numbers: [5120]
5120,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[79, 65], Operations: ['52+12=64', '1+64=65']
Exploring Operation: 79+65=144, Resulting Numbers: [144]
144,83 unequal: No Solution
Exploring Operation: 79*65=5135, Resulting Numbers: [5135]
5135,83 unequal: No Solution
Exploring Operation: 79-65=14, Resulting Numbers: [14]
14,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[64, 79], Operations: ['52+12=64', '79*1=79']
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,83 unequal: No Solution
Exploring Operation: 64*79=5056, Resulting Numbers: [5056]
5056,83 unequal: No Solution
Exploring Operation: 64+79=143, Resulting Numbers: [143]
143,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[79, 12, 53], Operations: ['52+1=53']
Exploring Operation: 12+53=65, Resulting Numbers: [79, 65]
Generated Node #0,1,0: 83:[79, 65] Operation: 12+53=65
Exploring Operation: 79+12=91, Resulting Numbers: [53, 91]
Generated Node #0,1,1: 83:[53, 91] Operation: 79+12=91
Exploring Operation: 79-12=67, Resulting Numbers: [53, 67]
Generated Node #0,1,2: 83:[53, 67] Operation: 79-12=67
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[79, 65], Operations: ['52+1=53', '12+53=65']
Exploring Operation: 79*65=5135, Resulting Numbers: [5135]
5135,83 unequal: No Solution
Exploring Operation: 79+65=144, Resulting Numbers: [144]
144,83 unequal: No Solution
Exploring Operation: 79-65=14, Resulting Numbers: [14]
14,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[53, 91], Operations: ['52+1=53', '79+12=91']
Exploring Operation: 53+91=144, Resulting Numbers: [144]
144,83 unequal: No Solution
Exploring Operation: 91-53=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 53*91=4823, Resulting Numbers: [4823]
4823,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[53, 67], Operations: ['52+1=53', '79-12=67']
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 53*67=3551, Resulting Numbers: [3551]
3551,83 unequal: No Solution
Exploring Operation: 53+67=120, Resulting Numbers: [120]
120,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[52, 12, 80], Operations: ['79+1=80']
Exploring Operation: 52+12=64, Resulting Numbers: [80, 64]
Generated Node #0,2,0: 83:[80, 64] Operation: 52+12=64
Exploring Operation: 52-12=40, Resulting Numbers: [80, 40]
Generated Node #0,2,1: 83:[80, 40] Operation: 52-12=40
Exploring Operation: 12+80=92, Resulting Numbers: [52, 92]
Generated Node #0,2,2: 83:[52, 92] Operation: 12+80=92
Moving to Node #0,2,0
Current State: 83:[80, 64], Operations: ['79+1=80', '52+12=64']
Exploring Operation: 80*64=5120, Resulting Numbers: [5120]
5120,83 unequal: No Solution
Exploring Operation: 80-64=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 80+64=144, Resulting Numbers: [144]
144,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[52, 92], Operations: ['79+1=80', '12+80=92']
Exploring Operation: 52*92=4784, Resulting Numbers: [4784]
4784,83 unequal: No Solution
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,83 unequal: No Solution
Exploring Operation: 52+92=144, Resulting Numbers: [144]
144,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[80, 40], Operations: ['79+1=80', '52-12=40']
Exploring Operation: 80/40=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 80-40=40, Resulting Numbers: [40]
40,83 unequal: No Solution
Exploring Operation: 80+40=120, Resulting Numbers: [120]
120,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
86,
5,
39,
46
] | 88 | [
"86-5=81",
"46-39=7",
"81+7=88"
] | Current State: 88:[86, 5, 39, 46], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [39, 46, 81]
Generated Node #2: [39, 46, 81] from Operation: 86-5=81
Current State: 88:[39, 46, 81], Operations: ['86-5=81']
Exploring Operation: 46-39=7, Resulting Numbers: [81, 7]
Generated Node #3: [81, 7] from Operation: 46-39=7
Current State: 88:[81, 7], Operations: ['86-5=81', '46-39=7']
Exploring Operation: 81+7=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[86, 5, 39, 46], Operations: []
Exploring Operation: 46-39=7, Resulting Numbers: [86, 5, 7]
Generated Node #0,0: 88:[86, 5, 7] Operation: 46-39=7
Exploring Operation: 39+46=85, Resulting Numbers: [86, 5, 85]
Generated Node #0,1: 88:[86, 5, 85] Operation: 39+46=85
Exploring Operation: 86-39=47, Resulting Numbers: [5, 46, 47]
Generated Node #0,2: 88:[5, 46, 47] Operation: 86-39=47
Exploring Operation: 5+39=44, Resulting Numbers: [86, 46, 44]
Generated Node #0,3: 88:[86, 46, 44] Operation: 5+39=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[86, 5, 7], Operations: ['46-39=7']
Exploring Operation: 86+7=93, Resulting Numbers: [5, 93]
Generated Node #0,0,0: 88:[5, 93] Operation: 86+7=93
Exploring Operation: 86+5=91, Resulting Numbers: [7, 91]
Generated Node #0,0,1: 88:[7, 91] Operation: 86+5=91
Exploring Operation: 7-5=2, Resulting Numbers: [86, 2]
Generated Node #0,0,2: 88:[86, 2] Operation: 7-5=2
Exploring Operation: 5+7=12, Resulting Numbers: [86, 12]
Generated Node #0,0,3: 88:[86, 12] Operation: 5+7=12
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 88:[86, 2], Operations: ['46-39=7', '7-5=2']
Exploring Operation: 86*2=172, Resulting Numbers: [172]
172,88 unequal: No Solution
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,88 unequal: No Solution
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[86, 5, 39, 46], Operations: []
Exploring Operation: 46-39=7, Resulting Numbers: [86, 5, 7]
Generated Node #0,0: 88:[86, 5, 7] Operation: 46-39=7
Moving to Node #0,0
Current State: 88:[86, 5, 7], Operations: ['46-39=7']
Exploring Operation: 7-5=2, Resulting Numbers: [86, 2]
Generated Node #0,0,2: 88:[86, 2] Operation: 7-5=2
Moving to Node #0,0,2
Current State: 88:[86, 2], Operations: ['46-39=7', '7-5=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
68,
12,
28,
63
] | 71 | [
"68+28=96",
"96/12=8",
"63+8=71"
] | Current State: 71:[68, 12, 28, 63], Operations: []
Exploring Operation: 68+28=96, Resulting Numbers: [12, 63, 96]
Generated Node #2: [12, 63, 96] from Operation: 68+28=96
Current State: 71:[12, 63, 96], Operations: ['68+28=96']
Exploring Operation: 96/12=8, Resulting Numbers: [63, 8]
Generated Node #3: [63, 8] from Operation: 96/12=8
Current State: 71:[63, 8], Operations: ['68+28=96', '96/12=8']
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[68, 12, 28, 63], Operations: []
Exploring Operation: 68-12=56, Resulting Numbers: [28, 63, 56]
Generated Node #0,0: 71:[28, 63, 56] Operation: 68-12=56
Exploring Operation: 12+28=40, Resulting Numbers: [68, 63, 40]
Generated Node #0,1: 71:[68, 63, 40] Operation: 12+28=40
Exploring Operation: 68+12=80, Resulting Numbers: [28, 63, 80]
Generated Node #0,2: 71:[28, 63, 80] Operation: 68+12=80
Exploring Operation: 12+63=75, Resulting Numbers: [68, 28, 75]
Generated Node #0,3: 71:[68, 28, 75] Operation: 12+63=75
Exploring Operation: 28-12=16, Resulting Numbers: [68, 63, 16]
Generated Node #0,4: 71:[68, 63, 16] Operation: 28-12=16
Moving to Node #0,1
Current State: 71:[68, 63, 40], Operations: ['12+28=40']
Exploring Operation: 63+40=103, Resulting Numbers: [68, 103]
Generated Node #0,1,0: 71:[68, 103] Operation: 63+40=103
Exploring Operation: 68+40=108, Resulting Numbers: [63, 108]
Generated Node #0,1,1: 71:[63, 108] Operation: 68+40=108
Exploring Operation: 63-40=23, Resulting Numbers: [68, 23]
Generated Node #0,1,2: 71:[68, 23] Operation: 63-40=23
Exploring Operation: 68+63=131, Resulting Numbers: [40, 131]
Generated Node #0,1,3: 71:[40, 131] Operation: 68+63=131
Exploring Operation: 68-40=28, Resulting Numbers: [63, 28]
Generated Node #0,1,4: 71:[63, 28] Operation: 68-40=28
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[68, 103], Operations: ['12+28=40', '63+40=103']
Exploring Operation: 68+103=171, Resulting Numbers: [171]
171,71 unequal: No Solution
Exploring Operation: 68*103=7004, Resulting Numbers: [7004]
7004,71 unequal: No Solution
Exploring Operation: 103-68=35, Resulting Numbers: [35]
35,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[63, 108], Operations: ['12+28=40', '68+40=108']
Exploring Operation: 108-63=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 63+108=171, Resulting Numbers: [171]
171,71 unequal: No Solution
Exploring Operation: 63*108=6804, Resulting Numbers: [6804]
6804,71 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 #0,1,2
Current State: 71:[68, 23], Operations: ['12+28=40', '63-40=23']
Exploring Operation: 68-23=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 68+23=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Exploring Operation: 68*23=1564, Resulting Numbers: [1564]
1564,71 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 #0,1,4
Current State: 71:[63, 28], Operations: ['12+28=40', '68-40=28']
Exploring Operation: 63+28=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,71 unequal: No Solution
Exploring Operation: 63*28=1764, Resulting Numbers: [1764]
1764,71 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 #0,1,3
Current State: 71:[40, 131], Operations: ['12+28=40', '68+63=131']
Exploring Operation: 40+131=171, Resulting Numbers: [171]
171,71 unequal: No Solution
Exploring Operation: 131-40=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Exploring Operation: 40*131=5240, Resulting Numbers: [5240]
5240,71 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: 71:[68, 28, 75], Operations: ['12+63=75']
Exploring Operation: 75-68=7, Resulting Numbers: [28, 7]
Generated Node #0,3,0: 71:[28, 7] Operation: 75-68=7
Exploring Operation: 68+28=96, Resulting Numbers: [75, 96]
Generated Node #0,3,1: 71:[75, 96] Operation: 68+28=96
Exploring Operation: 75-28=47, Resulting Numbers: [68, 47]
Generated Node #0,3,2: 71:[68, 47] Operation: 75-28=47
Exploring Operation: 68-28=40, Resulting Numbers: [75, 40]
Generated Node #0,3,3: 71:[75, 40] Operation: 68-28=40
Exploring Operation: 28+75=103, Resulting Numbers: [68, 103]
Generated Node #0,3,4: 71:[68, 103] Operation: 28+75=103
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 71:[68, 47], Operations: ['12+63=75', '75-28=47']
Exploring Operation: 68-47=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 68*47=3196, Resulting Numbers: [3196]
3196,71 unequal: No Solution
Exploring Operation: 68+47=115, Resulting Numbers: [115]
115,71 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 #0,3,1
Current State: 71:[75, 96], Operations: ['12+63=75', '68+28=96']
Exploring Operation: 75*96=7200, Resulting Numbers: [7200]
7200,71 unequal: No Solution
Exploring Operation: 96-75=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 75+96=171, Resulting Numbers: [171]
171,71 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 #0,3,3
Current State: 71:[75, 40], Operations: ['12+63=75', '68-28=40']
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,71 unequal: No Solution
Exploring Operation: 75+40=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 75*40=3000, Resulting Numbers: [3000]
3000,71 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 #0,3,4
Current State: 71:[68, 103], Operations: ['12+63=75', '28+75=103']
Exploring Operation: 68*103=7004, Resulting Numbers: [7004]
7004,71 unequal: No Solution
Exploring Operation: 68+103=171, Resulting Numbers: [171]
171,71 unequal: No Solution
Exploring Operation: 103-68=35, Resulting Numbers: [35]
35,71 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 #0,3,0
Current State: 71:[28, 7], Operations: ['12+63=75', '75-68=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,71 unequal: No Solution
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,71 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,71 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,71 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: 71:[28, 63, 80], Operations: ['68+12=80']
Exploring Operation: 28+63=91, Resulting Numbers: [80, 91]
Generated Node #0,2,0: 71:[80, 91] Operation: 28+63=91
Exploring Operation: 28+80=108, Resulting Numbers: [63, 108]
Generated Node #0,2,1: 71:[63, 108] Operation: 28+80=108
Exploring Operation: 63-28=35, Resulting Numbers: [80, 35]
Generated Node #0,2,2: 71:[80, 35] Operation: 63-28=35
Exploring Operation: 80-28=52, Resulting Numbers: [63, 52]
Generated Node #0,2,3: 71:[63, 52] Operation: 80-28=52
Exploring Operation: 80-63=17, Resulting Numbers: [28, 17]
Generated Node #0,2,4: 71:[28, 17] Operation: 80-63=17
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 71:[63, 52], Operations: ['68+12=80', '80-28=52']
Exploring Operation: 63+52=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 63*52=3276, Resulting Numbers: [3276]
3276,71 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 #0,2,0
Current State: 71:[80, 91], Operations: ['68+12=80', '28+63=91']
Exploring Operation: 80*91=7280, Resulting Numbers: [7280]
7280,71 unequal: No Solution
Exploring Operation: 80+91=171, Resulting Numbers: [171]
171,71 unequal: No Solution
Exploring Operation: 91-80=11, Resulting Numbers: [11]
11,71 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 #0,2,1
Current State: 71:[63, 108], Operations: ['68+12=80', '28+80=108']
Exploring Operation: 108-63=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 63*108=6804, Resulting Numbers: [6804]
6804,71 unequal: No Solution
Exploring Operation: 63+108=171, Resulting Numbers: [171]
171,71 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 #0,2,2
Current State: 71:[80, 35], Operations: ['68+12=80', '63-28=35']
Exploring Operation: 80+35=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 80*35=2800, Resulting Numbers: [2800]
2800,71 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 #0,2,4
Current State: 71:[28, 17], Operations: ['68+12=80', '80-63=17']
Exploring Operation: 28*17=476, Resulting Numbers: [476]
476,71 unequal: No Solution
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 28+17=45, Resulting Numbers: [45]
45,71 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: 71:[28, 63, 56], Operations: ['68-12=56']
Exploring Operation: 28+63=91, Resulting Numbers: [56, 91]
Generated Node #0,0,0: 71:[56, 91] Operation: 28+63=91
Exploring Operation: 63-28=35, Resulting Numbers: [56, 35]
Generated Node #0,0,1: 71:[56, 35] Operation: 63-28=35
Exploring Operation: 56-28=28, Resulting Numbers: [63, 28]
Generated Node #0,0,2: 71:[63, 28] Operation: 56-28=28
Exploring Operation: 28+56=84, Resulting Numbers: [63, 84]
Generated Node #0,0,3: 71:[63, 84] Operation: 28+56=84
Exploring Operation: 56/28=2, Resulting Numbers: [63, 2]
Generated Node #0,0,4: 71:[63, 2] Operation: 56/28=2
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 71:[63, 84], Operations: ['68-12=56', '28+56=84']
Exploring Operation: 84-63=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 63*84=5292, Resulting Numbers: [5292]
5292,71 unequal: No Solution
Exploring Operation: 63+84=147, Resulting Numbers: [147]
147,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[56, 91], Operations: ['68-12=56', '28+63=91']
Exploring Operation: 91-56=35, Resulting Numbers: [35]
35,71 unequal: No Solution
Exploring Operation: 56+91=147, Resulting Numbers: [147]
147,71 unequal: No Solution
Exploring Operation: 56*91=5096, Resulting Numbers: [5096]
5096,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[56, 35], Operations: ['68-12=56', '63-28=35']
Exploring Operation: 56-35=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 56+35=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Exploring Operation: 56*35=1960, Resulting Numbers: [1960]
1960,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 71:[63, 28], Operations: ['68-12=56', '56-28=28']
Exploring Operation: 63+28=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Exploring Operation: 63*28=1764, Resulting Numbers: [1764]
1764,71 unequal: No Solution
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 71:[63, 2], Operations: ['68-12=56', '56/28=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,71 unequal: No Solution
Exploring Operation: 63*2=126, Resulting Numbers: [126]
126,71 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: 71:[68, 63, 16], Operations: ['28-12=16']
Exploring Operation: 68-16=52, Resulting Numbers: [63, 52]
Generated Node #0,4,0: 71:[63, 52] Operation: 68-16=52
Exploring Operation: 68+63=131, Resulting Numbers: [16, 131]
Generated Node #0,4,1: 71:[16, 131] Operation: 68+63=131
Exploring Operation: 63-16=47, Resulting Numbers: [68, 47]
Generated Node #0,4,2: 71:[68, 47] Operation: 63-16=47
Exploring Operation: 63+16=79, Resulting Numbers: [68, 79]
Generated Node #0,4,3: 71:[68, 79] Operation: 63+16=79
Exploring Operation: 68+16=84, Resulting Numbers: [63, 84]
Generated Node #0,4,4: 71:[63, 84] Operation: 68+16=84
Moving to Node #0,4,3
Current State: 71:[68, 79], Operations: ['28-12=16', '63+16=79']
Exploring Operation: 68*79=5372, Resulting Numbers: [5372]
5372,71 unequal: No Solution
Exploring Operation: 68+79=147, Resulting Numbers: [147]
147,71 unequal: No Solution
Exploring Operation: 79-68=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Moving to Node #0,4,4
Current State: 71:[63, 84], Operations: ['28-12=16', '68+16=84']
Exploring Operation: 63+84=147, Resulting Numbers: [147]
147,71 unequal: No Solution
Exploring Operation: 63*84=5292, Resulting Numbers: [5292]
5292,71 unequal: No Solution
Exploring Operation: 84-63=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Moving to Node #0,4,0
Current State: 71:[63, 52], Operations: ['28-12=16', '68-16=52']
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 63*52=3276, Resulting Numbers: [3276]
3276,71 unequal: No Solution
Exploring Operation: 63+52=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Moving to Node #0,4,2
Current State: 71:[68, 47], Operations: ['28-12=16', '63-16=47']
Exploring Operation: 68*47=3196, Resulting Numbers: [3196]
3196,71 unequal: No Solution
Exploring Operation: 68+47=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 68-47=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Moving to Node #0,4,1
Current State: 71:[16, 131], Operations: ['28-12=16', '68+63=131']
Exploring Operation: 16*131=2096, Resulting Numbers: [2096]
2096,71 unequal: No Solution
Exploring Operation: 16+131=147, Resulting Numbers: [147]
147,71 unequal: No Solution
Exploring Operation: 131-16=115, Resulting Numbers: [115]
115,71 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
2,
77,
14,
99
] | 95 | [
"77+14=91",
"99+91=190",
"190/2=95"
] | Current State: 95:[2, 77, 14, 99], Operations: []
Exploring Operation: 77+14=91, Resulting Numbers: [2, 99, 91]
Generated Node #2: [2, 99, 91] from Operation: 77+14=91
Current State: 95:[2, 99, 91], Operations: ['77+14=91']
Exploring Operation: 99+91=190, Resulting Numbers: [2, 190]
Generated Node #3: [2, 190] from Operation: 99+91=190
Current State: 95:[2, 190], Operations: ['77+14=91', '99+91=190']
Exploring Operation: 190/2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[2, 77, 14, 99], Operations: []
Exploring Operation: 77+14=91, Resulting Numbers: [2, 99, 91]
Generated Node #0,0: 95:[2, 99, 91] Operation: 77+14=91
Exploring Operation: 99-77=22, Resulting Numbers: [2, 14, 22]
Generated Node #0,1: 95:[2, 14, 22] Operation: 99-77=22
Moving to Node #0,0
Current State: 95:[2, 99, 91], Operations: ['77+14=91']
Exploring Operation: 99-2=97, Resulting Numbers: [91, 97]
Generated Node #0,0,0: 95:[91, 97] Operation: 99-2=97
Exploring Operation: 2+91=93, Resulting Numbers: [99, 93]
Generated Node #0,0,1: 95:[99, 93] Operation: 2+91=93
Moving to Node #0,1
Current State: 95:[2, 14, 22], Operations: ['99-77=22']
Exploring Operation: 14/2=7, Resulting Numbers: [22, 7]
Generated Node #0,1,0: 95:[22, 7] Operation: 14/2=7
Exploring Operation: 2+14=16, Resulting Numbers: [22, 16]
Generated Node #0,1,1: 95:[22, 16] Operation: 2+14=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[22, 7], Operations: ['99-77=22', '14/2=7']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[22, 16], Operations: ['99-77=22', '2+14=16']
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,95 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: 95:[91, 97], Operations: ['77+14=91', '99-2=97']
Exploring Operation: 91+97=188, Resulting Numbers: [188]
188,95 unequal: No Solution
Exploring Operation: 97-91=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[99, 93], Operations: ['77+14=91', '2+91=93']
Exploring Operation: 99-93=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 99+93=192, Resulting Numbers: [192]
192,95 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
55,
84,
79,
18
] | 29 | [
"84-79=5",
"55/5=11",
"18+11=29"
] | Current State: 29:[55, 84, 79, 18], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [55, 18, 5]
Generated Node #2: [55, 18, 5] from Operation: 84-79=5
Current State: 29:[55, 18, 5], Operations: ['84-79=5']
Exploring Operation: 55/5=11, Resulting Numbers: [18, 11]
Generated Node #3: [18, 11] from Operation: 55/5=11
Current State: 29:[18, 11], Operations: ['84-79=5', '55/5=11']
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[55, 84, 79, 18], Operations: []
Exploring Operation: 84-55=29, Resulting Numbers: [79, 18, 29]
Generated Node #0,0: 29:[79, 18, 29] Operation: 84-55=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[79, 18, 29], Operations: ['84-55=29']
Exploring Operation: 79-18=61, Resulting Numbers: [29, 61]
Generated Node #0,0,0: 29:[29, 61] Operation: 79-18=61
Moving to Node #0,0,0
Current State: 29:[29, 61], Operations: ['84-55=29', '79-18=61']
Exploring Operation: 61-29=32, Resulting Numbers: [32]
32,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
54,
40,
40,
6
] | 47 | [
"54-6=48",
"40/40=1",
"48-1=47"
] | Current State: 47:[54, 40, 40, 6], Operations: []
Exploring Operation: 54-6=48, Resulting Numbers: [40, 40, 48]
Generated Node #2: [40, 40, 48] from Operation: 54-6=48
Current State: 47:[40, 40, 48], Operations: ['54-6=48']
Exploring Operation: 40/40=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 40/40=1
Current State: 47:[48, 1], Operations: ['54-6=48', '40/40=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[54, 40, 40, 6], Operations: []
Exploring Operation: 40+6=46, Resulting Numbers: [54, 40, 46]
Generated Node #0,0: 47:[54, 40, 46] Operation: 40+6=46
Exploring Operation: 54-6=48, Resulting Numbers: [40, 40, 48]
Generated Node #0,1: 47:[40, 40, 48] Operation: 54-6=48
Moving to Node #0,0
Current State: 47:[54, 40, 46], Operations: ['40+6=46']
Exploring Operation: 54-46=8, Resulting Numbers: [40, 8]
Generated Node #0,0,0: 47:[40, 8] Operation: 54-46=8
Exploring Operation: 54-40=14, Resulting Numbers: [46, 14]
Generated Node #0,0,1: 47:[46, 14] Operation: 54-40=14
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[46, 14], Operations: ['40+6=46', '54-40=14']
Exploring Operation: 46+14=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,47 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:[40, 8], Operations: ['40+6=46', '54-46=8']
Exploring Operation: 40+8=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,47 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:[40, 40, 48], Operations: ['54-6=48']
Exploring Operation: 48-40=8, Resulting Numbers: [40, 8]
Generated Node #0,1,0: 47:[40, 8] Operation: 48-40=8
Exploring Operation: 40+40=80, Resulting Numbers: [48, 80]
Generated Node #0,1,1: 47:[48, 80] Operation: 40+40=80
Moving to Node #0,1,1
Current State: 47:[48, 80], Operations: ['54-6=48', '40+40=80']
Exploring Operation: 80-48=32, Resulting Numbers: [32]
32,47 unequal: No Solution
Exploring Operation: 48+80=128, Resulting Numbers: [128]
128,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[40, 8], Operations: ['54-6=48', '48-40=8']
Exploring Operation: 40+8=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,47 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
64,
55,
20,
83
] | 97 | [
"64-55=9",
"20*9=180",
"180-83=97"
] | Current State: 97:[64, 55, 20, 83], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [20, 83, 9]
Generated Node #2: [20, 83, 9] from Operation: 64-55=9
Current State: 97:[20, 83, 9], Operations: ['64-55=9']
Exploring Operation: 20*9=180, Resulting Numbers: [83, 180]
Generated Node #3: [83, 180] from Operation: 20*9=180
Current State: 97:[83, 180], Operations: ['64-55=9', '20*9=180']
Exploring Operation: 180-83=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[64, 55, 20, 83], Operations: []
Exploring Operation: 64-20=44, Resulting Numbers: [55, 83, 44]
Generated Node #0,0: 97:[55, 83, 44] Operation: 64-20=44
Exploring Operation: 55+20=75, Resulting Numbers: [64, 83, 75]
Generated Node #0,1: 97:[64, 83, 75] Operation: 55+20=75
Exploring Operation: 20+83=103, Resulting Numbers: [64, 55, 103]
Generated Node #0,2: 97:[64, 55, 103] Operation: 20+83=103
Exploring Operation: 64+20=84, Resulting Numbers: [55, 83, 84]
Generated Node #0,3: 97:[55, 83, 84] Operation: 64+20=84
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[64, 83, 75], Operations: ['55+20=75']
Exploring Operation: 64+75=139, Resulting Numbers: [83, 139]
Generated Node #0,1,0: 97:[83, 139] Operation: 64+75=139
Exploring Operation: 83-64=19, Resulting Numbers: [75, 19]
Generated Node #0,1,1: 97:[75, 19] Operation: 83-64=19
Exploring Operation: 83+75=158, Resulting Numbers: [64, 158]
Generated Node #0,1,2: 97:[64, 158] Operation: 83+75=158
Exploring Operation: 64+83=147, Resulting Numbers: [75, 147]
Generated Node #0,1,3: 97:[75, 147] Operation: 64+83=147
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[83, 139], Operations: ['55+20=75', '64+75=139']
Exploring Operation: 83+139=222, Resulting Numbers: [222]
222,97 unequal: No Solution
Exploring Operation: 139-83=56, Resulting Numbers: [56]
56,97 unequal: No Solution
Exploring Operation: 83*139=11537, Resulting Numbers: [11537]
11537,97 unequal: No Solution
No 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: 97:[75, 147], Operations: ['55+20=75', '64+83=147']
Exploring Operation: 75+147=222, Resulting Numbers: [222]
222,97 unequal: No Solution
Exploring Operation: 147-75=72, Resulting Numbers: [72]
72,97 unequal: No Solution
Exploring Operation: 75*147=11025, Resulting Numbers: [11025]
11025,97 unequal: No Solution
No 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: 97:[64, 158], Operations: ['55+20=75', '83+75=158']
Exploring Operation: 64+158=222, Resulting Numbers: [222]
222,97 unequal: No Solution
Exploring Operation: 158-64=94, Resulting Numbers: [94]
94,97 unequal: No Solution
Exploring Operation: 64*158=10112, Resulting Numbers: [10112]
10112,97 unequal: No Solution
No 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: 97:[75, 19], Operations: ['55+20=75', '83-64=19']
Exploring Operation: 75+19=94, Resulting Numbers: [94]
94,97 unequal: No Solution
Exploring Operation: 75*19=1425, Resulting Numbers: [1425]
1425,97 unequal: No Solution
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,97 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: 97:[55, 83, 84], Operations: ['64+20=84']
Exploring Operation: 84-55=29, Resulting Numbers: [83, 29]
Generated Node #0,3,0: 97:[83, 29] Operation: 84-55=29
Exploring Operation: 55+84=139, Resulting Numbers: [83, 139]
Generated Node #0,3,1: 97:[83, 139] Operation: 55+84=139
Exploring Operation: 55+83=138, Resulting Numbers: [84, 138]
Generated Node #0,3,2: 97:[84, 138] Operation: 55+83=138
Exploring Operation: 83-55=28, Resulting Numbers: [84, 28]
Generated Node #0,3,3: 97:[84, 28] Operation: 83-55=28
Moving to Node #0,3,2
Current State: 97:[84, 138], Operations: ['64+20=84', '55+83=138']
Exploring Operation: 138-84=54, Resulting Numbers: [54]
54,97 unequal: No Solution
Exploring Operation: 84+138=222, Resulting Numbers: [222]
222,97 unequal: No Solution
Exploring Operation: 84*138=11592, Resulting Numbers: [11592]
11592,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[83, 139], Operations: ['64+20=84', '55+84=139']
Exploring Operation: 83+139=222, Resulting Numbers: [222]
222,97 unequal: No Solution
Exploring Operation: 139-83=56, Resulting Numbers: [56]
56,97 unequal: No Solution
Exploring Operation: 83*139=11537, Resulting Numbers: [11537]
11537,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[84, 28], Operations: ['64+20=84', '83-55=28']
Exploring Operation: 84/28=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Exploring Operation: 84+28=112, Resulting Numbers: [112]
112,97 unequal: No Solution
Exploring Operation: 84*28=2352, Resulting Numbers: [2352]
2352,97 unequal: No Solution
Exploring Operation: 84-28=56, Resulting Numbers: [56]
56,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[83, 29], Operations: ['64+20=84', '84-55=29']
Exploring Operation: 83+29=112, Resulting Numbers: [112]
112,97 unequal: No Solution
Exploring Operation: 83*29=2407, Resulting Numbers: [2407]
2407,97 unequal: No Solution
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,97 unequal: No Solution
No 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: 97:[64, 55, 103], Operations: ['20+83=103']
Exploring Operation: 64-55=9, Resulting Numbers: [103, 9]
Generated Node #0,2,0: 97:[103, 9] Operation: 64-55=9
Exploring Operation: 103-55=48, Resulting Numbers: [64, 48]
Generated Node #0,2,1: 97:[64, 48] Operation: 103-55=48
Exploring Operation: 55+103=158, Resulting Numbers: [64, 158]
Generated Node #0,2,2: 97:[64, 158] Operation: 55+103=158
Exploring Operation: 64+55=119, Resulting Numbers: [103, 119]
Generated Node #0,2,3: 97:[103, 119] Operation: 64+55=119
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 97:[103, 119], Operations: ['20+83=103', '64+55=119']
Exploring Operation: 103*119=12257, Resulting Numbers: [12257]
12257,97 unequal: No Solution
Exploring Operation: 103+119=222, Resulting Numbers: [222]
222,97 unequal: No Solution
Exploring Operation: 119-103=16, Resulting Numbers: [16]
16,97 unequal: No Solution
No 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: 97:[64, 48], Operations: ['20+83=103', '103-55=48']
Exploring Operation: 64+48=112, Resulting Numbers: [112]
112,97 unequal: No Solution
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Exploring Operation: 64*48=3072, Resulting Numbers: [3072]
3072,97 unequal: No Solution
No 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: 97:[103, 9], Operations: ['20+83=103', '64-55=9']
Exploring Operation: 103*9=927, Resulting Numbers: [927]
927,97 unequal: No Solution
Exploring Operation: 103+9=112, Resulting Numbers: [112]
112,97 unequal: No Solution
Exploring Operation: 103-9=94, Resulting Numbers: [94]
94,97 unequal: No Solution
No 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: 97:[64, 158], Operations: ['20+83=103', '55+103=158']
Exploring Operation: 158-64=94, Resulting Numbers: [94]
94,97 unequal: No Solution
Exploring Operation: 64*158=10112, Resulting Numbers: [10112]
10112,97 unequal: No Solution
Exploring Operation: 64+158=222, Resulting Numbers: [222]
222,97 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: 97:[55, 83, 44], Operations: ['64-20=44']
Exploring Operation: 83+44=127, Resulting Numbers: [55, 127]
Generated Node #0,0,0: 97:[55, 127] Operation: 83+44=127
Exploring Operation: 55+44=99, Resulting Numbers: [83, 99]
Generated Node #0,0,1: 97:[83, 99] Operation: 55+44=99
Exploring Operation: 55-44=11, Resulting Numbers: [83, 11]
Generated Node #0,0,2: 97:[83, 11] Operation: 55-44=11
Exploring Operation: 55+83=138, Resulting Numbers: [44, 138]
Generated Node #0,0,3: 97:[44, 138] Operation: 55+83=138
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[83, 99], Operations: ['64-20=44', '55+44=99']
Exploring Operation: 83+99=182, Resulting Numbers: [182]
182,97 unequal: No Solution
Exploring Operation: 83*99=8217, Resulting Numbers: [8217]
8217,97 unequal: No Solution
Exploring Operation: 99-83=16, Resulting Numbers: [16]
16,97 unequal: No Solution
No 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: 97:[55, 127], Operations: ['64-20=44', '83+44=127']
Exploring Operation: 55*127=6985, Resulting Numbers: [6985]
6985,97 unequal: No Solution
Exploring Operation: 55+127=182, Resulting Numbers: [182]
182,97 unequal: No Solution
Exploring Operation: 127-55=72, Resulting Numbers: [72]
72,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 97:[44, 138], Operations: ['64-20=44', '55+83=138']
Exploring Operation: 138-44=94, Resulting Numbers: [94]
94,97 unequal: No Solution
Exploring Operation: 44*138=6072, Resulting Numbers: [6072]
6072,97 unequal: No Solution
Exploring Operation: 44+138=182, Resulting Numbers: [182]
182,97 unequal: No Solution
No 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: 97:[83, 11], Operations: ['64-20=44', '55-44=11']
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,97 unequal: No Solution
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,97 unequal: No Solution
Exploring Operation: 83*11=913, Resulting Numbers: [913]
913,97 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 |
[
96,
20,
76,
4
] | 81 | [
"96+4=100",
"100/20=5",
"76+5=81"
] | Current State: 81:[96, 20, 76, 4], Operations: []
Exploring Operation: 96+4=100, Resulting Numbers: [20, 76, 100]
Generated Node #2: [20, 76, 100] from Operation: 96+4=100
Current State: 81:[20, 76, 100], Operations: ['96+4=100']
Exploring Operation: 100/20=5, Resulting Numbers: [76, 5]
Generated Node #3: [76, 5] from Operation: 100/20=5
Current State: 81:[76, 5], Operations: ['96+4=100', '100/20=5']
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[96, 20, 76, 4], Operations: []
Exploring Operation: 96-20=76, Resulting Numbers: [76, 4, 76]
Generated Node #0,0: 81:[76, 4, 76] Operation: 96-20=76
Moving to Node #0,0
Current State: 81:[76, 4, 76], Operations: ['96-20=76']
Exploring Operation: 76/76=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 81:[4, 1] Operation: 76/76=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[4, 1], Operations: ['96-20=76', '76/76=1']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,81 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 |
[
22,
32,
18,
16
] | 56 | [
"22+32=54",
"18-16=2",
"54+2=56"
] | Current State: 56:[22, 32, 18, 16], Operations: []
Exploring Operation: 22+32=54, Resulting Numbers: [18, 16, 54]
Generated Node #2: [18, 16, 54] from Operation: 22+32=54
Current State: 56:[18, 16, 54], Operations: ['22+32=54']
Exploring Operation: 18-16=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 18-16=2
Current State: 56:[54, 2], Operations: ['22+32=54', '18-16=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[22, 32, 18, 16], Operations: []
Exploring Operation: 32-18=14, Resulting Numbers: [22, 16, 14]
Generated Node #0,0: 56:[22, 16, 14] Operation: 32-18=14
Exploring Operation: 22+32=54, Resulting Numbers: [18, 16, 54]
Generated Node #0,1: 56:[18, 16, 54] Operation: 22+32=54
Exploring Operation: 22-16=6, Resulting Numbers: [32, 18, 6]
Generated Node #0,2: 56:[32, 18, 6] Operation: 22-16=6
Exploring Operation: 22-18=4, Resulting Numbers: [32, 16, 4]
Generated Node #0,3: 56:[32, 16, 4] Operation: 22-18=4
Exploring Operation: 32-22=10, Resulting Numbers: [18, 16, 10]
Generated Node #0,4: 56:[18, 16, 10] Operation: 32-22=10
Moving to Node #0,3
Current State: 56:[32, 16, 4], Operations: ['22-18=4']
Exploring Operation: 32-16=16, Resulting Numbers: [4, 16]
Generated Node #0,3,0: 56:[4, 16] Operation: 32-16=16
Exploring Operation: 32-4=28, Resulting Numbers: [16, 28]
Generated Node #0,3,1: 56:[16, 28] Operation: 32-4=28
Exploring Operation: 32/4=8, Resulting Numbers: [16, 8]
Generated Node #0,3,2: 56:[16, 8] Operation: 32/4=8
Exploring Operation: 32/16=2, Resulting Numbers: [4, 2]
Generated Node #0,3,3: 56:[4, 2] Operation: 32/16=2
Exploring Operation: 16/4=4, Resulting Numbers: [32, 4]
Generated Node #0,3,4: 56:[32, 4] Operation: 16/4=4
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 56:[4, 2], Operations: ['22-18=4', '32/16=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,56 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 56:[4, 16], Operations: ['22-18=4', '32-16=16']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,56 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 56:[16, 28], Operations: ['22-18=4', '32-4=28']
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,56 unequal: No Solution
Exploring Operation: 16*28=448, Resulting Numbers: [448]
448,56 unequal: No Solution
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 56:[16, 8], Operations: ['22-18=4', '32/4=8']
Exploring Operation: 16*8=128, Resulting Numbers: [128]
128,56 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 56:[32, 4], Operations: ['22-18=4', '16/4=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,56 unequal: No Solution
Exploring Operation: 32*4=128, Resulting Numbers: [128]
128,56 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 56:[18, 16, 54], Operations: ['22+32=54']
Exploring Operation: 18+16=34, Resulting Numbers: [54, 34]
Generated Node #0,1,0: 56:[54, 34] Operation: 18+16=34
Exploring Operation: 54-16=38, Resulting Numbers: [18, 38]
Generated Node #0,1,1: 56:[18, 38] Operation: 54-16=38
Exploring Operation: 54/18=3, Resulting Numbers: [16, 3]
Generated Node #0,1,2: 56:[16, 3] Operation: 54/18=3
Exploring Operation: 54-18=36, Resulting Numbers: [16, 36]
Generated Node #0,1,3: 56:[16, 36] Operation: 54-18=36
Exploring Operation: 18-16=2, Resulting Numbers: [54, 2]
Generated Node #0,1,4: 56:[54, 2] Operation: 18-16=2
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 56:[54, 2], Operations: ['22+32=54', '18-16=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[22, 32, 18, 16], Operations: []
Exploring Operation: 22+32=54, Resulting Numbers: [18, 16, 54]
Generated Node #0,1: 56:[18, 16, 54] Operation: 22+32=54
Moving to Node #0,1
Current State: 56:[18, 16, 54], Operations: ['22+32=54']
Exploring Operation: 18-16=2, Resulting Numbers: [54, 2]
Generated Node #0,1,4: 56:[54, 2] Operation: 18-16=2
Moving to Node #0,1,4
Current State: 56:[54, 2], Operations: ['22+32=54', '18-16=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | sum_heuristic |
[
55,
2,
22,
17
] | 28 | [
"55+17=72",
"2*22=44",
"72-44=28"
] | Current State: 28:[55, 2, 22, 17], Operations: []
Exploring Operation: 55+17=72, Resulting Numbers: [2, 22, 72]
Generated Node #2: [2, 22, 72] from Operation: 55+17=72
Current State: 28:[2, 22, 72], Operations: ['55+17=72']
Exploring Operation: 2*22=44, Resulting Numbers: [72, 44]
Generated Node #3: [72, 44] from Operation: 2*22=44
Current State: 28:[72, 44], Operations: ['55+17=72', '2*22=44']
Exploring Operation: 72-44=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[55, 2, 22, 17], Operations: []
Exploring Operation: 55-22=33, Resulting Numbers: [2, 17, 33]
Generated Node #0,0: 28:[2, 17, 33] Operation: 55-22=33
Exploring Operation: 55-17=38, Resulting Numbers: [2, 22, 38]
Generated Node #0,1: 28:[2, 22, 38] Operation: 55-17=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[2, 17, 33], Operations: ['55-22=33']
Exploring Operation: 17-2=15, Resulting Numbers: [33, 15]
Generated Node #0,0,0: 28:[33, 15] Operation: 17-2=15
Exploring Operation: 33-17=16, Resulting Numbers: [2, 16]
Generated Node #0,0,1: 28:[2, 16] Operation: 33-17=16
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 28:[2, 16], Operations: ['55-22=33', '33-17=16']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,28 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 #0,0,0
Current State: 28:[33, 15], Operations: ['55-22=33', '17-2=15']
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,28 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,28 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 #0,1
Current State: 28:[2, 22, 38], Operations: ['55-17=38']
Exploring Operation: 38/2=19, Resulting Numbers: [22, 19]
Generated Node #0,1,0: 28:[22, 19] Operation: 38/2=19
Exploring Operation: 38-22=16, Resulting Numbers: [2, 16]
Generated Node #0,1,1: 28:[2, 16] Operation: 38-22=16
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[2, 16], Operations: ['55-17=38', '38-22=16']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,28 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 #0,1,0
Current State: 28:[22, 19], Operations: ['55-17=38', '38/2=19']
Exploring Operation: 22+19=41, Resulting Numbers: [41]
41,28 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,28 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
No solution found.
| 0 | hs_2 | sum_heuristic |
[
56,
74,
5,
43
] | 69 | [
"56+74=130",
"130/5=26",
"43+26=69"
] | Current State: 69:[56, 74, 5, 43], Operations: []
Exploring Operation: 56+74=130, Resulting Numbers: [5, 43, 130]
Generated Node #2: [5, 43, 130] from Operation: 56+74=130
Current State: 69:[5, 43, 130], Operations: ['56+74=130']
Exploring Operation: 130/5=26, Resulting Numbers: [43, 26]
Generated Node #3: [43, 26] from Operation: 130/5=26
Current State: 69:[43, 26], Operations: ['56+74=130', '130/5=26']
Exploring Operation: 43+26=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[56, 74, 5, 43], Operations: []
Exploring Operation: 74-56=18, Resulting Numbers: [5, 43, 18]
Generated Node #0,0: 69:[5, 43, 18] Operation: 74-56=18
Exploring Operation: 56-43=13, Resulting Numbers: [74, 5, 13]
Generated Node #0,1: 69:[74, 5, 13] Operation: 56-43=13
Exploring Operation: 74-5=69, Resulting Numbers: [56, 43, 69]
Generated Node #0,2: 69:[56, 43, 69] Operation: 74-5=69
Exploring Operation: 56+5=61, Resulting Numbers: [74, 43, 61]
Generated Node #0,3: 69:[74, 43, 61] Operation: 56+5=61
Exploring Operation: 74-43=31, Resulting Numbers: [56, 5, 31]
Generated Node #0,4: 69:[56, 5, 31] Operation: 74-43=31
Moving to Node #0,1
Current State: 69:[74, 5, 13], Operations: ['56-43=13']
Exploring Operation: 5+13=18, Resulting Numbers: [74, 18]
Generated Node #0,1,0: 69:[74, 18] Operation: 5+13=18
Exploring Operation: 13-5=8, Resulting Numbers: [74, 8]
Generated Node #0,1,1: 69:[74, 8] Operation: 13-5=8
Exploring Operation: 5*13=65, Resulting Numbers: [74, 65]
Generated Node #0,1,2: 69:[74, 65] Operation: 5*13=65
Exploring Operation: 74-13=61, Resulting Numbers: [5, 61]
Generated Node #0,1,3: 69:[5, 61] Operation: 74-13=61
Exploring Operation: 74-5=69, Resulting Numbers: [13, 69]
Generated Node #0,1,4: 69:[13, 69] Operation: 74-5=69
Moving to Node #0,4
Current State: 69:[56, 5, 31], Operations: ['74-43=31']
Exploring Operation: 56-31=25, Resulting Numbers: [5, 25]
Generated Node #0,4,0: 69:[5, 25] Operation: 56-31=25
Exploring Operation: 31-5=26, Resulting Numbers: [56, 26]
Generated Node #0,4,1: 69:[56, 26] Operation: 31-5=26
Exploring Operation: 56+5=61, Resulting Numbers: [31, 61]
Generated Node #0,4,2: 69:[31, 61] Operation: 56+5=61
Exploring Operation: 56-5=51, Resulting Numbers: [31, 51]
Generated Node #0,4,3: 69:[31, 51] Operation: 56-5=51
Exploring Operation: 56+31=87, Resulting Numbers: [5, 87]
Generated Node #0,4,4: 69:[5, 87] Operation: 56+31=87
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 69:[5, 25], Operations: ['74-43=31', '56-31=25']
Exploring Operation: 5*25=125, Resulting Numbers: [125]
125,69 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 69:[56, 26], Operations: ['74-43=31', '31-5=26']
Exploring Operation: 56+26=82, Resulting Numbers: [82]
82,69 unequal: No Solution
Exploring Operation: 56-26=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 56*26=1456, Resulting Numbers: [1456]
1456,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 69:[31, 61], Operations: ['74-43=31', '56+5=61']
Exploring Operation: 31+61=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 31*61=1891, Resulting Numbers: [1891]
1891,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 69:[5, 87], Operations: ['74-43=31', '56+31=87']
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,69 unequal: No Solution
Exploring Operation: 5*87=435, Resulting Numbers: [435]
435,69 unequal: No Solution
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 69:[31, 51], Operations: ['74-43=31', '56-5=51']
Exploring Operation: 31*51=1581, Resulting Numbers: [1581]
1581,69 unequal: No Solution
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,69 unequal: No Solution
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 69:[5, 43, 18], Operations: ['74-56=18']
Exploring Operation: 43-5=38, Resulting Numbers: [18, 38]
Generated Node #0,0,0: 69:[18, 38] Operation: 43-5=38
Exploring Operation: 43-18=25, Resulting Numbers: [5, 25]
Generated Node #0,0,1: 69:[5, 25] Operation: 43-18=25
Exploring Operation: 5+18=23, Resulting Numbers: [43, 23]
Generated Node #0,0,2: 69:[43, 23] Operation: 5+18=23
Exploring Operation: 43+18=61, Resulting Numbers: [5, 61]
Generated Node #0,0,3: 69:[5, 61] Operation: 43+18=61
Exploring Operation: 5+43=48, Resulting Numbers: [18, 48]
Generated Node #0,0,4: 69:[18, 48] Operation: 5+43=48
Moving to Node #0,2
Current State: 69:[56, 43, 69], Operations: ['74-5=69']
Exploring Operation: 69-56=13, Resulting Numbers: [43, 13]
Generated Node #0,2,0: 69:[43, 13] Operation: 69-56=13
Exploring Operation: 56-43=13, Resulting Numbers: [69, 13]
Generated Node #0,2,1: 69:[69, 13] Operation: 56-43=13
Exploring Operation: 69-43=26, Resulting Numbers: [56, 26]
Generated Node #0,2,2: 69:[56, 26] Operation: 69-43=26
Exploring Operation: 56+43=99, Resulting Numbers: [69, 99]
Generated Node #0,2,3: 69:[69, 99] Operation: 56+43=99
Exploring Operation: 43+69=112, Resulting Numbers: [56, 112]
Generated Node #0,2,4: 69:[56, 112] Operation: 43+69=112
Moving to Node #0,3
Current State: 69:[74, 43, 61], Operations: ['56+5=61']
Exploring Operation: 74+43=117, Resulting Numbers: [61, 117]
Generated Node #0,3,0: 69:[61, 117] Operation: 74+43=117
Exploring Operation: 61-43=18, Resulting Numbers: [74, 18]
Generated Node #0,3,1: 69:[74, 18] Operation: 61-43=18
Exploring Operation: 43+61=104, Resulting Numbers: [74, 104]
Generated Node #0,3,2: 69:[74, 104] Operation: 43+61=104
Exploring Operation: 74-43=31, Resulting Numbers: [61, 31]
Generated Node #0,3,3: 69:[61, 31] Operation: 74-43=31
Exploring Operation: 74-61=13, Resulting Numbers: [43, 13]
Generated Node #0,3,4: 69:[43, 13] Operation: 74-61=13
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 69:[74, 18], Operations: ['56+5=61', '61-43=18']
Exploring Operation: 74-18=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Exploring Operation: 74+18=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 74*18=1332, Resulting Numbers: [1332]
1332,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 69:[61, 31], Operations: ['56+5=61', '74-43=31']
Exploring Operation: 61*31=1891, Resulting Numbers: [1891]
1891,69 unequal: No Solution
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 61+31=92, Resulting Numbers: [92]
92,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 69:[43, 13], Operations: ['56+5=61', '74-61=13']
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 43*13=559, Resulting Numbers: [559]
559,69 unequal: No Solution
Exploring Operation: 43+13=56, Resulting Numbers: [56]
56,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 69:[74, 104], Operations: ['56+5=61', '43+61=104']
Exploring Operation: 104-74=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 74*104=7696, Resulting Numbers: [7696]
7696,69 unequal: No Solution
Exploring Operation: 74+104=178, Resulting Numbers: [178]
178,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 69:[61, 117], Operations: ['56+5=61', '74+43=117']
Exploring Operation: 61*117=7137, Resulting Numbers: [7137]
7137,69 unequal: No Solution
Exploring Operation: 61+117=178, Resulting Numbers: [178]
178,69 unequal: No Solution
Exploring Operation: 117-61=56, Resulting Numbers: [56]
56,69 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: 69:[5, 25], Operations: ['74-56=18', '43-18=25']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 5*25=125, Resulting Numbers: [125]
125,69 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[74, 65], Operations: ['56-43=13', '5*13=65']
Exploring Operation: 74-65=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 74*65=4810, Resulting Numbers: [4810]
4810,69 unequal: No Solution
Exploring Operation: 74+65=139, Resulting Numbers: [139]
139,69 unequal: No Solution
Moving to Node #0,0,3
Current State: 69:[5, 61], Operations: ['74-56=18', '43+18=61']
Exploring Operation: 5*61=305, Resulting Numbers: [305]
305,69 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[74, 8], Operations: ['56-43=13', '13-5=8']
Exploring Operation: 74*8=592, Resulting Numbers: [592]
592,69 unequal: No Solution
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 74+8=82, Resulting Numbers: [82]
82,69 unequal: No Solution
Moving to Node #0,1,0
Current State: 69:[74, 18], Operations: ['56-43=13', '5+13=18']
Exploring Operation: 74*18=1332, Resulting Numbers: [1332]
1332,69 unequal: No Solution
Exploring Operation: 74+18=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 74-18=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Moving to Node #0,1,4
Current State: 69:[13, 69], Operations: ['56-43=13', '74-5=69']
Exploring Operation: 13*69=897, Resulting Numbers: [897]
897,69 unequal: No Solution
Exploring Operation: 13+69=82, Resulting Numbers: [82]
82,69 unequal: No Solution
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[69, 13], Operations: ['74-5=69', '56-43=13']
Exploring Operation: 69+13=82, Resulting Numbers: [82]
82,69 unequal: No Solution
Exploring Operation: 69*13=897, Resulting Numbers: [897]
897,69 unequal: No Solution
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[5, 61], Operations: ['56-43=13', '74-13=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Exploring Operation: 5*61=305, Resulting Numbers: [305]
305,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[56, 26], Operations: ['74-5=69', '69-43=26']
Exploring Operation: 56+26=82, Resulting Numbers: [82]
82,69 unequal: No Solution
Exploring Operation: 56*26=1456, Resulting Numbers: [1456]
1456,69 unequal: No Solution
Exploring Operation: 56-26=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[43, 23], Operations: ['74-56=18', '5+18=23']
Exploring Operation: 43+23=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 43*23=989, Resulting Numbers: [989]
989,69 unequal: No Solution
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[18, 38], Operations: ['74-56=18', '43-5=38']
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,69 unequal: No Solution
Moving to Node #0,0,4
Current State: 69:[18, 48], Operations: ['74-56=18', '5+43=48']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 18*48=864, Resulting Numbers: [864]
864,69 unequal: No Solution
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Moving to Node #0,2,3
Current State: 69:[69, 99], Operations: ['74-5=69', '56+43=99']
Exploring Operation: 99-69=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 69*99=6831, Resulting Numbers: [6831]
6831,69 unequal: No Solution
Exploring Operation: 69+99=168, Resulting Numbers: [168]
168,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[43, 13], Operations: ['74-5=69', '69-56=13']
Exploring Operation: 43*13=559, Resulting Numbers: [559]
559,69 unequal: No Solution
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 43+13=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Moving to Node #0,2,4
Current State: 69:[56, 112], Operations: ['74-5=69', '43+69=112']
Exploring Operation: 112-56=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Exploring Operation: 56*112=6272, Resulting Numbers: [6272]
6272,69 unequal: No Solution
Exploring Operation: 112/56=2, Resulting Numbers: [2]
2,69 unequal: No Solution
Exploring Operation: 56+112=168, Resulting Numbers: [168]
168,69 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
36,
75,
47,
34
] | 26 | [
"75-36=39",
"47-34=13",
"39-13=26"
] | Current State: 26:[36, 75, 47, 34], Operations: []
Exploring Operation: 75-36=39, Resulting Numbers: [47, 34, 39]
Generated Node #2: [47, 34, 39] from Operation: 75-36=39
Current State: 26:[47, 34, 39], Operations: ['75-36=39']
Exploring Operation: 47-34=13, Resulting Numbers: [39, 13]
Generated Node #3: [39, 13] from Operation: 47-34=13
Current State: 26:[39, 13], Operations: ['75-36=39', '47-34=13']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[36, 75, 47, 34], Operations: []
Exploring Operation: 75-34=41, Resulting Numbers: [36, 47, 41]
Generated Node #0,0: 26:[36, 47, 41] Operation: 75-34=41
Exploring Operation: 75-36=39, Resulting Numbers: [47, 34, 39]
Generated Node #0,1: 26:[47, 34, 39] Operation: 75-36=39
Exploring Operation: 75-47=28, Resulting Numbers: [36, 34, 28]
Generated Node #0,2: 26:[36, 34, 28] Operation: 75-47=28
Exploring Operation: 47-36=11, Resulting Numbers: [75, 34, 11]
Generated Node #0,3: 26:[75, 34, 11] Operation: 47-36=11
Moving to Node #0,2
Current State: 26:[36, 34, 28], Operations: ['75-47=28']
Exploring Operation: 34-28=6, Resulting Numbers: [36, 6]
Generated Node #0,2,0: 26:[36, 6] Operation: 34-28=6
Exploring Operation: 36-28=8, Resulting Numbers: [34, 8]
Generated Node #0,2,1: 26:[34, 8] Operation: 36-28=8
Exploring Operation: 36+34=70, Resulting Numbers: [28, 70]
Generated Node #0,2,2: 26:[28, 70] Operation: 36+34=70
Exploring Operation: 36-34=2, Resulting Numbers: [28, 2]
Generated Node #0,2,3: 26:[28, 2] Operation: 36-34=2
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 26:[28, 2], Operations: ['75-47=28', '36-34=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,26 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,26 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[36, 75, 47, 34], Operations: []
Exploring Operation: 75-47=28, Resulting Numbers: [36, 34, 28]
Generated Node #0,2: 26:[36, 34, 28] Operation: 75-47=28
Moving to Node #0,2
Current State: 26:[36, 34, 28], Operations: ['75-47=28']
Exploring Operation: 36-34=2, Resulting Numbers: [28, 2]
Generated Node #0,2,3: 26:[28, 2] Operation: 36-34=2
Moving to Node #0,2,3
Current State: 26:[28, 2], Operations: ['75-47=28', '36-34=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
29,
58,
82,
27
] | 68 | [
"58/29=2",
"82/2=41",
"27+41=68"
] | Current State: 68:[29, 58, 82, 27], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [82, 27, 2]
Generated Node #2: [82, 27, 2] from Operation: 58/29=2
Current State: 68:[82, 27, 2], Operations: ['58/29=2']
Exploring Operation: 82/2=41, Resulting Numbers: [27, 41]
Generated Node #3: [27, 41] from Operation: 82/2=41
Current State: 68:[27, 41], Operations: ['58/29=2', '82/2=41']
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[29, 58, 82, 27], Operations: []
Exploring Operation: 82-58=24, Resulting Numbers: [29, 27, 24]
Generated Node #0,0: 68:[29, 27, 24] Operation: 82-58=24
Exploring Operation: 58/29=2, Resulting Numbers: [82, 27, 2]
Generated Node #0,1: 68:[82, 27, 2] Operation: 58/29=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[29, 27, 24], Operations: ['82-58=24']
Exploring Operation: 27-24=3, Resulting Numbers: [29, 3]
Generated Node #0,0,0: 68:[29, 3] Operation: 27-24=3
Exploring Operation: 29-27=2, Resulting Numbers: [24, 2]
Generated Node #0,0,1: 68:[24, 2] Operation: 29-27=2
Moving to Node #0,0,0
Current State: 68:[29, 3], Operations: ['82-58=24', '27-24=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[24, 2], Operations: ['82-58=24', '29-27=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[82, 27, 2], Operations: ['58/29=2']
Exploring Operation: 82-27=55, Resulting Numbers: [2, 55]
Generated Node #0,1,0: 68:[2, 55] Operation: 82-27=55
Exploring Operation: 82/2=41, Resulting Numbers: [27, 41]
Generated Node #0,1,1: 68:[27, 41] Operation: 82/2=41
Moving to Node #0,1,0
Current State: 68:[2, 55], Operations: ['58/29=2', '82-27=55']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[27, 41], Operations: ['58/29=2', '82/2=41']
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[29, 58, 82, 27], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [82, 27, 2]
Generated Node #0,1: 68:[82, 27, 2] Operation: 58/29=2
Moving to Node #0,1
Current State: 68:[82, 27, 2], Operations: ['58/29=2']
Exploring Operation: 82/2=41, Resulting Numbers: [27, 41]
Generated Node #0,1,1: 68:[27, 41] Operation: 82/2=41
Moving to Node #0,1,1
Current State: 68:[27, 41], Operations: ['58/29=2', '82/2=41']
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_2 | sum_heuristic |
[
52,
65,
11,
2
] | 69 | [
"11+2=13",
"52/13=4",
"65+4=69"
] | Current State: 69:[52, 65, 11, 2], Operations: []
Exploring Operation: 11+2=13, Resulting Numbers: [52, 65, 13]
Generated Node #2: [52, 65, 13] from Operation: 11+2=13
Current State: 69:[52, 65, 13], Operations: ['11+2=13']
Exploring Operation: 52/13=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 52/13=4
Current State: 69:[65, 4], Operations: ['11+2=13', '52/13=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[52, 65, 11, 2], Operations: []
Exploring Operation: 65-52=13, Resulting Numbers: [11, 2, 13]
Generated Node #0,0: 69:[11, 2, 13] Operation: 65-52=13
Exploring Operation: 52-11=41, Resulting Numbers: [65, 2, 41]
Generated Node #0,1: 69:[65, 2, 41] Operation: 52-11=41
Exploring Operation: 11*2=22, Resulting Numbers: [52, 65, 22]
Generated Node #0,2: 69:[52, 65, 22] Operation: 11*2=22
Exploring Operation: 52/2=26, Resulting Numbers: [65, 11, 26]
Generated Node #0,3: 69:[65, 11, 26] Operation: 52/2=26
Exploring Operation: 52+11=63, Resulting Numbers: [65, 2, 63]
Generated Node #0,4: 69:[65, 2, 63] Operation: 52+11=63
Start Sub Search at level 1: Moving to Node #0,4
Current State: 69:[65, 2, 63], Operations: ['52+11=63']
Exploring Operation: 65+2=67, Resulting Numbers: [63, 67]
Generated Node #0,4,0: 69:[63, 67] Operation: 65+2=67
Exploring Operation: 63-2=61, Resulting Numbers: [65, 61]
Generated Node #0,4,1: 69:[65, 61] Operation: 63-2=61
Exploring Operation: 65-63=2, Resulting Numbers: [2, 2]
Generated Node #0,4,2: 69:[2, 2] Operation: 65-63=2
Exploring Operation: 65-2=63, Resulting Numbers: [63, 63]
Generated Node #0,4,3: 69:[63, 63] Operation: 65-2=63
Exploring Operation: 2+63=65, Resulting Numbers: [65, 65]
Generated Node #0,4,4: 69:[65, 65] Operation: 2+63=65
Moving to Node #0,4,2
Current State: 69:[2, 2], Operations: ['52+11=63', '65-63=2']
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Moving to Node #0,4,4
Current State: 69:[65, 65], Operations: ['52+11=63', '2+63=65']
Exploring Operation: 65*65=4225, Resulting Numbers: [4225]
4225,69 unequal: No Solution
Exploring Operation: 65+65=130, Resulting Numbers: [130]
130,69 unequal: No Solution
Exploring Operation: 65/65=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 65-65=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Moving to Node #0,4,0
Current State: 69:[63, 67], Operations: ['52+11=63', '65+2=67']
Exploring Operation: 63*67=4221, Resulting Numbers: [4221]
4221,69 unequal: No Solution
Exploring Operation: 67-63=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 63+67=130, Resulting Numbers: [130]
130,69 unequal: No Solution
Moving to Node #0,4,1
Current State: 69:[65, 61], Operations: ['52+11=63', '63-2=61']
Exploring Operation: 65*61=3965, Resulting Numbers: [3965]
3965,69 unequal: No Solution
Exploring Operation: 65-61=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 65+61=126, Resulting Numbers: [126]
126,69 unequal: No Solution
Moving to Node #0,4,3
Current State: 69:[63, 63], Operations: ['52+11=63', '65-2=63']
Exploring Operation: 63*63=3969, Resulting Numbers: [3969]
3969,69 unequal: No Solution
Exploring Operation: 63/63=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 63-63=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 63+63=126, Resulting Numbers: [126]
126,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 69:[65, 11, 26], Operations: ['52/2=26']
Exploring Operation: 65+11=76, Resulting Numbers: [26, 76]
Generated Node #0,3,0: 69:[26, 76] Operation: 65+11=76
Exploring Operation: 65-26=39, Resulting Numbers: [11, 39]
Generated Node #0,3,1: 69:[11, 39] Operation: 65-26=39
Exploring Operation: 65-11=54, Resulting Numbers: [26, 54]
Generated Node #0,3,2: 69:[26, 54] Operation: 65-11=54
Exploring Operation: 26-11=15, Resulting Numbers: [65, 15]
Generated Node #0,3,3: 69:[65, 15] Operation: 26-11=15
Exploring Operation: 11+26=37, Resulting Numbers: [65, 37]
Generated Node #0,3,4: 69:[65, 37] Operation: 11+26=37
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 69:[26, 76], Operations: ['52/2=26', '65+11=76']
Exploring Operation: 76-26=50, Resulting Numbers: [50]
50,69 unequal: No Solution
Exploring Operation: 26*76=1976, Resulting Numbers: [1976]
1976,69 unequal: No Solution
Exploring Operation: 26+76=102, Resulting Numbers: [102]
102,69 unequal: No Solution
No 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: 69:[65, 15], Operations: ['52/2=26', '26-11=15']
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,69 unequal: No Solution
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,69 unequal: No Solution
Exploring Operation: 65*15=975, Resulting Numbers: [975]
975,69 unequal: No Solution
No 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: 69:[26, 54], Operations: ['52/2=26', '65-11=54']
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 26*54=1404, Resulting Numbers: [1404]
1404,69 unequal: No Solution
Exploring Operation: 26+54=80, Resulting Numbers: [80]
80,69 unequal: No Solution
No 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: 69:[65, 37], Operations: ['52/2=26', '11+26=37']
Exploring Operation: 65-37=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 65+37=102, Resulting Numbers: [102]
102,69 unequal: No Solution
Exploring Operation: 65*37=2405, Resulting Numbers: [2405]
2405,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 69:[11, 39], Operations: ['52/2=26', '65-26=39']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 11*39=429, Resulting Numbers: [429]
429,69 unequal: No Solution
Exploring Operation: 11+39=50, Resulting Numbers: [50]
50,69 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: 69:[11, 2, 13], Operations: ['65-52=13']
Exploring Operation: 11-2=9, Resulting Numbers: [13, 9]
Generated Node #0,0,0: 69:[13, 9] Operation: 11-2=9
Exploring Operation: 13-11=2, Resulting Numbers: [2, 2]
Generated Node #0,0,1: 69:[2, 2] Operation: 13-11=2
Exploring Operation: 2*13=26, Resulting Numbers: [11, 26]
Generated Node #0,0,2: 69:[11, 26] Operation: 2*13=26
Exploring Operation: 11+13=24, Resulting Numbers: [2, 24]
Generated Node #0,0,3: 69:[2, 24] Operation: 11+13=24
Exploring Operation: 11*2=22, Resulting Numbers: [13, 22]
Generated Node #0,0,4: 69:[13, 22] Operation: 11*2=22
Moving to Node #0,0,1
Current State: 69:[2, 2], Operations: ['65-52=13', '13-11=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Moving to Node #0,0,3
Current State: 69:[2, 24], Operations: ['65-52=13', '11+13=24']
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,69 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[11, 26], Operations: ['65-52=13', '2*13=26']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,69 unequal: No Solution
Exploring Operation: 11*26=286, Resulting Numbers: [286]
286,69 unequal: No Solution
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,69 unequal: No Solution
Moving to Node #0,0,4
Current State: 69:[13, 22], Operations: ['65-52=13', '11*2=22']
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,69 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[13, 9], Operations: ['65-52=13', '11-2=9']
Exploring Operation: 13*9=117, Resulting Numbers: [117]
117,69 unequal: No Solution
Exploring Operation: 13+9=22, Resulting Numbers: [22]
22,69 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[52, 65, 22], Operations: ['11*2=22']
Exploring Operation: 52-22=30, Resulting Numbers: [65, 30]
Generated Node #0,2,0: 69:[65, 30] Operation: 52-22=30
Exploring Operation: 52+22=74, Resulting Numbers: [65, 74]
Generated Node #0,2,1: 69:[65, 74] Operation: 52+22=74
Exploring Operation: 65-22=43, Resulting Numbers: [52, 43]
Generated Node #0,2,2: 69:[52, 43] Operation: 65-22=43
Exploring Operation: 65+22=87, Resulting Numbers: [52, 87]
Generated Node #0,2,3: 69:[52, 87] Operation: 65+22=87
Exploring Operation: 65-52=13, Resulting Numbers: [22, 13]
Generated Node #0,2,4: 69:[22, 13] Operation: 65-52=13
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 69:[65, 74], Operations: ['11*2=22', '52+22=74']
Exploring Operation: 65+74=139, Resulting Numbers: [139]
139,69 unequal: No Solution
Exploring Operation: 65*74=4810, Resulting Numbers: [4810]
4810,69 unequal: No Solution
Exploring Operation: 74-65=9, Resulting Numbers: [9]
9,69 unequal: No Solution
No 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: 69:[65, 30], Operations: ['11*2=22', '52-22=30']
Exploring Operation: 65*30=1950, Resulting Numbers: [1950]
1950,69 unequal: No Solution
Exploring Operation: 65+30=95, Resulting Numbers: [95]
95,69 unequal: No Solution
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,69 unequal: No Solution
No 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: 69:[22, 13], Operations: ['11*2=22', '65-52=13']
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 22*13=286, Resulting Numbers: [286]
286,69 unequal: No Solution
No 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: 69:[52, 87], Operations: ['11*2=22', '65+22=87']
Exploring Operation: 52+87=139, Resulting Numbers: [139]
139,69 unequal: No Solution
Exploring Operation: 52*87=4524, Resulting Numbers: [4524]
4524,69 unequal: No Solution
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,69 unequal: No Solution
No 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: 69:[52, 43], Operations: ['11*2=22', '65-22=43']
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 52*43=2236, Resulting Numbers: [2236]
2236,69 unequal: No Solution
Exploring Operation: 52+43=95, Resulting Numbers: [95]
95,69 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: 69:[65, 2, 41], Operations: ['52-11=41']
Exploring Operation: 65-41=24, Resulting Numbers: [2, 24]
Generated Node #0,1,0: 69:[2, 24] Operation: 65-41=24
Exploring Operation: 2*41=82, Resulting Numbers: [65, 82]
Generated Node #0,1,1: 69:[65, 82] Operation: 2*41=82
Exploring Operation: 65-2=63, Resulting Numbers: [41, 63]
Generated Node #0,1,2: 69:[41, 63] Operation: 65-2=63
Exploring Operation: 41-2=39, Resulting Numbers: [65, 39]
Generated Node #0,1,3: 69:[65, 39] Operation: 41-2=39
Exploring Operation: 65+2=67, Resulting Numbers: [41, 67]
Generated Node #0,1,4: 69:[41, 67] Operation: 65+2=67
Moving to Node #0,1,0
Current State: 69:[2, 24], Operations: ['52-11=41', '65-41=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,69 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,69 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[65, 82], Operations: ['52-11=41', '2*41=82']
Exploring Operation: 65*82=5330, Resulting Numbers: [5330]
5330,69 unequal: No Solution
Exploring Operation: 65+82=147, Resulting Numbers: [147]
147,69 unequal: No Solution
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[65, 39], Operations: ['52-11=41', '41-2=39']
Exploring Operation: 65*39=2535, Resulting Numbers: [2535]
2535,69 unequal: No Solution
Exploring Operation: 65+39=104, Resulting Numbers: [104]
104,69 unequal: No Solution
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Moving to Node #0,1,4
Current State: 69:[41, 67], Operations: ['52-11=41', '65+2=67']
Exploring Operation: 67-41=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 41+67=108, Resulting Numbers: [108]
108,69 unequal: No Solution
Exploring Operation: 41*67=2747, Resulting Numbers: [2747]
2747,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[41, 63], Operations: ['52-11=41', '65-2=63']
Exploring Operation: 41*63=2583, Resulting Numbers: [2583]
2583,69 unequal: No Solution
Exploring Operation: 41+63=104, Resulting Numbers: [104]
104,69 unequal: No Solution
Exploring Operation: 63-41=22, Resulting Numbers: [22]
22,69 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 |
[
8,
6,
30,
7
] | 60 | [
"8+6=14",
"30*14=420",
"420/7=60"
] | Current State: 60:[8, 6, 30, 7], Operations: []
Exploring Operation: 8+6=14, Resulting Numbers: [30, 7, 14]
Generated Node #2: [30, 7, 14] from Operation: 8+6=14
Current State: 60:[30, 7, 14], Operations: ['8+6=14']
Exploring Operation: 30*14=420, Resulting Numbers: [7, 420]
Generated Node #3: [7, 420] from Operation: 30*14=420
Current State: 60:[7, 420], Operations: ['8+6=14', '30*14=420']
Exploring Operation: 420/7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[8, 6, 30, 7], Operations: []
Exploring Operation: 8+7=15, Resulting Numbers: [6, 30, 15]
Generated Node #0,0: 60:[6, 30, 15] Operation: 8+7=15
Exploring Operation: 8-6=2, Resulting Numbers: [30, 7, 2]
Generated Node #0,1: 60:[30, 7, 2] Operation: 8-6=2
Moving to Node #0,0
Current State: 60:[6, 30, 15], Operations: ['8+7=15']
Exploring Operation: 30/6=5, Resulting Numbers: [15, 5]
Generated Node #0,0,0: 60:[15, 5] Operation: 30/6=5
Exploring Operation: 30-15=15, Resulting Numbers: [6, 15]
Generated Node #0,0,1: 60:[6, 15] Operation: 30-15=15
Moving to Node #0,1
Current State: 60:[30, 7, 2], Operations: ['8-6=2']
Exploring Operation: 30*2=60, Resulting Numbers: [7, 60]
Generated Node #0,1,0: 60:[7, 60] Operation: 30*2=60
Exploring Operation: 7-2=5, Resulting Numbers: [30, 5]
Generated Node #0,1,1: 60:[30, 5] Operation: 7-2=5
Moving to Node #0,0,0
Current State: 60:[15, 5], Operations: ['8+7=15', '30/6=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[30, 5], Operations: ['8-6=2', '7-2=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[6, 15], Operations: ['8+7=15', '30-15=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,60 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[7, 60], Operations: ['8-6=2', '30*2=60']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,60 unequal: No Solution
Exploring Operation: 7+60=67, Resulting Numbers: [67]
67,60 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
34,
61,
10,
29
] | 43 | [
"61+29=90",
"90/10=9",
"34+9=43"
] | Current State: 43:[34, 61, 10, 29], Operations: []
Exploring Operation: 61+29=90, Resulting Numbers: [34, 10, 90]
Generated Node #2: [34, 10, 90] from Operation: 61+29=90
Current State: 43:[34, 10, 90], Operations: ['61+29=90']
Exploring Operation: 90/10=9, Resulting Numbers: [34, 9]
Generated Node #3: [34, 9] from Operation: 90/10=9
Current State: 43:[34, 9], Operations: ['61+29=90', '90/10=9']
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[34, 61, 10, 29], Operations: []
Exploring Operation: 61+10=71, Resulting Numbers: [34, 29, 71]
Generated Node #0,0: 43:[34, 29, 71] Operation: 61+10=71
Exploring Operation: 34+10=44, Resulting Numbers: [61, 29, 44]
Generated Node #0,1: 43:[61, 29, 44] Operation: 34+10=44
Exploring Operation: 61-10=51, Resulting Numbers: [34, 29, 51]
Generated Node #0,2: 43:[34, 29, 51] Operation: 61-10=51
Exploring Operation: 10+29=39, Resulting Numbers: [34, 61, 39]
Generated Node #0,3: 43:[34, 61, 39] Operation: 10+29=39
Exploring Operation: 34-10=24, Resulting Numbers: [61, 29, 24]
Generated Node #0,4: 43:[61, 29, 24] Operation: 34-10=24
Moving to Node #0,2
Current State: 43:[34, 29, 51], Operations: ['61-10=51']
Exploring Operation: 34+29=63, Resulting Numbers: [51, 63]
Generated Node #0,2,0: 43:[51, 63] Operation: 34+29=63
Exploring Operation: 51-29=22, Resulting Numbers: [34, 22]
Generated Node #0,2,1: 43:[34, 22] Operation: 51-29=22
Exploring Operation: 51-34=17, Resulting Numbers: [29, 17]
Generated Node #0,2,2: 43:[29, 17] Operation: 51-34=17
Exploring Operation: 34-29=5, Resulting Numbers: [51, 5]
Generated Node #0,2,3: 43:[51, 5] Operation: 34-29=5
Exploring Operation: 29+51=80, Resulting Numbers: [34, 80]
Generated Node #0,2,4: 43:[34, 80] Operation: 29+51=80
Moving to Node #0,3
Current State: 43:[34, 61, 39], Operations: ['10+29=39']
Exploring Operation: 61-39=22, Resulting Numbers: [34, 22]
Generated Node #0,3,0: 43:[34, 22] Operation: 61-39=22
Exploring Operation: 61-34=27, Resulting Numbers: [39, 27]
Generated Node #0,3,1: 43:[39, 27] Operation: 61-34=27
Exploring Operation: 34+61=95, Resulting Numbers: [39, 95]
Generated Node #0,3,2: 43:[39, 95] Operation: 34+61=95
Exploring Operation: 39-34=5, Resulting Numbers: [61, 5]
Generated Node #0,3,3: 43:[61, 5] Operation: 39-34=5
Exploring Operation: 34+39=73, Resulting Numbers: [61, 73]
Generated Node #0,3,4: 43:[61, 73] Operation: 34+39=73
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 43:[39, 27], Operations: ['10+29=39', '61-34=27']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,43 unequal: No Solution
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,43 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 #0,3,0
Current State: 43:[34, 22], Operations: ['10+29=39', '61-39=22']
Exploring Operation: 34+22=56, Resulting Numbers: [56]
56,43 unequal: No Solution
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 34*22=748, Resulting Numbers: [748]
748,43 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 #0,3,4
Current State: 43:[61, 73], Operations: ['10+29=39', '34+39=73']
Exploring Operation: 61+73=134, Resulting Numbers: [134]
134,43 unequal: No Solution
Exploring Operation: 73-61=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 61*73=4453, Resulting Numbers: [4453]
4453,43 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 #0,3,2
Current State: 43:[39, 95], Operations: ['10+29=39', '34+61=95']
Exploring Operation: 39+95=134, Resulting Numbers: [134]
134,43 unequal: No Solution
Exploring Operation: 95-39=56, Resulting Numbers: [56]
56,43 unequal: No Solution
Exploring Operation: 39*95=3705, Resulting Numbers: [3705]
3705,43 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 #0,3,3
Current State: 43:[61, 5], Operations: ['10+29=39', '39-34=5']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,43 unequal: No Solution
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 61*5=305, Resulting Numbers: [305]
305,43 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: 43:[61, 29, 44], Operations: ['34+10=44']
Exploring Operation: 61+29=90, Resulting Numbers: [44, 90]
Generated Node #0,1,0: 43:[44, 90] Operation: 61+29=90
Exploring Operation: 29+44=73, Resulting Numbers: [61, 73]
Generated Node #0,1,1: 43:[61, 73] Operation: 29+44=73
Exploring Operation: 61-29=32, Resulting Numbers: [44, 32]
Generated Node #0,1,2: 43:[44, 32] Operation: 61-29=32
Exploring Operation: 44-29=15, Resulting Numbers: [61, 15]
Generated Node #0,1,3: 43:[61, 15] Operation: 44-29=15
Exploring Operation: 61-44=17, Resulting Numbers: [29, 17]
Generated Node #0,1,4: 43:[29, 17] Operation: 61-44=17
Moving to Node #0,0
Current State: 43:[34, 29, 71], Operations: ['61+10=71']
Exploring Operation: 29+71=100, Resulting Numbers: [34, 100]
Generated Node #0,0,0: 43:[34, 100] Operation: 29+71=100
Exploring Operation: 34+29=63, Resulting Numbers: [71, 63]
Generated Node #0,0,1: 43:[71, 63] Operation: 34+29=63
Exploring Operation: 71-29=42, Resulting Numbers: [34, 42]
Generated Node #0,0,2: 43:[34, 42] Operation: 71-29=42
Exploring Operation: 34-29=5, Resulting Numbers: [71, 5]
Generated Node #0,0,3: 43:[71, 5] Operation: 34-29=5
Exploring Operation: 71-34=37, Resulting Numbers: [29, 37]
Generated Node #0,0,4: 43:[29, 37] Operation: 71-34=37
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 43:[34, 42], Operations: ['61+10=71', '71-29=42']
Exploring Operation: 34*42=1428, Resulting Numbers: [1428]
1428,43 unequal: No Solution
Exploring Operation: 34+42=76, Resulting Numbers: [76]
76,43 unequal: No Solution
Exploring Operation: 42-34=8, Resulting Numbers: [8]
8,43 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 #0,0,4
Current State: 43:[29, 37], Operations: ['61+10=71', '71-34=37']
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Exploring Operation: 29*37=1073, Resulting Numbers: [1073]
1073,43 unequal: No Solution
Exploring Operation: 29+37=66, Resulting Numbers: [66]
66,43 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 #0,0,1
Current State: 43:[71, 63], Operations: ['61+10=71', '34+29=63']
Exploring Operation: 71+63=134, Resulting Numbers: [134]
134,43 unequal: No Solution
Exploring Operation: 71-63=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Exploring Operation: 71*63=4473, Resulting Numbers: [4473]
4473,43 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:[34, 100], Operations: ['61+10=71', '29+71=100']
Exploring Operation: 34*100=3400, Resulting Numbers: [3400]
3400,43 unequal: No Solution
Exploring Operation: 100-34=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 34+100=134, Resulting Numbers: [134]
134,43 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:[71, 5], Operations: ['61+10=71', '34-29=5']
Exploring Operation: 71+5=76, Resulting Numbers: [76]
76,43 unequal: No Solution
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 71*5=355, Resulting Numbers: [355]
355,43 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: 43:[61, 29, 24], Operations: ['34-10=24']
Exploring Operation: 61-29=32, Resulting Numbers: [24, 32]
Generated Node #0,4,0: 43:[24, 32] Operation: 61-29=32
Exploring Operation: 29+24=53, Resulting Numbers: [61, 53]
Generated Node #0,4,1: 43:[61, 53] Operation: 29+24=53
Exploring Operation: 29-24=5, Resulting Numbers: [61, 5]
Generated Node #0,4,2: 43:[61, 5] Operation: 29-24=5
Exploring Operation: 61+24=85, Resulting Numbers: [29, 85]
Generated Node #0,4,3: 43:[29, 85] Operation: 61+24=85
Exploring Operation: 61-24=37, Resulting Numbers: [29, 37]
Generated Node #0,4,4: 43:[29, 37] Operation: 61-24=37
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 43:[29, 37], Operations: ['34-10=24', '61-24=37']
Exploring Operation: 29*37=1073, Resulting Numbers: [1073]
1073,43 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Exploring Operation: 29+37=66, Resulting Numbers: [66]
66,43 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 #0,4,1
Current State: 43:[61, 53], Operations: ['34-10=24', '29+24=53']
Exploring Operation: 61*53=3233, Resulting Numbers: [3233]
3233,43 unequal: No Solution
Exploring Operation: 61-53=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Exploring Operation: 61+53=114, Resulting Numbers: [114]
114,43 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 #0,4,0
Current State: 43:[24, 32], Operations: ['34-10=24', '61-29=32']
Exploring Operation: 24+32=56, Resulting Numbers: [56]
56,43 unequal: No Solution
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Exploring Operation: 24*32=768, Resulting Numbers: [768]
768,43 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 #0,4,2
Current State: 43:[61, 5], Operations: ['34-10=24', '29-24=5']
Exploring Operation: 61*5=305, Resulting Numbers: [305]
305,43 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,43 unequal: No Solution
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,43 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 #0,4,3
Current State: 43:[29, 85], Operations: ['34-10=24', '61+24=85']
Exploring Operation: 29*85=2465, Resulting Numbers: [2465]
2465,43 unequal: No Solution
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,43 unequal: No Solution
Exploring Operation: 29+85=114, Resulting Numbers: [114]
114,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 43:[44, 32], Operations: ['34+10=44', '61-29=32']
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 44*32=1408, Resulting Numbers: [1408]
1408,43 unequal: No Solution
Exploring Operation: 44+32=76, Resulting Numbers: [76]
76,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[51, 63], Operations: ['61-10=51', '34+29=63']
Exploring Operation: 51*63=3213, Resulting Numbers: [3213]
3213,43 unequal: No Solution
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 51+63=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Moving to Node #0,2,1
Current State: 43:[34, 22], Operations: ['61-10=51', '51-29=22']
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 34+22=56, Resulting Numbers: [56]
56,43 unequal: No Solution
Exploring Operation: 34*22=748, Resulting Numbers: [748]
748,43 unequal: No Solution
Moving to Node #0,1,4
Current State: 43:[29, 17], Operations: ['34+10=44', '61-44=17']
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Exploring Operation: 29*17=493, Resulting Numbers: [493]
493,43 unequal: No Solution
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Moving to Node #0,2,2
Current State: 43:[29, 17], Operations: ['61-10=51', '51-34=17']
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Exploring Operation: 29*17=493, Resulting Numbers: [493]
493,43 unequal: No Solution
Moving to Node #0,1,3
Current State: 43:[61, 15], Operations: ['34+10=44', '44-29=15']
Exploring Operation: 61+15=76, Resulting Numbers: [76]
76,43 unequal: No Solution
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Exploring Operation: 61*15=915, Resulting Numbers: [915]
915,43 unequal: No Solution
Moving to Node #0,2,4
Current State: 43:[34, 80], Operations: ['61-10=51', '29+51=80']
Exploring Operation: 34+80=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 34*80=2720, Resulting Numbers: [2720]
2720,43 unequal: No Solution
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Moving to Node #0,2,3
Current State: 43:[51, 5], Operations: ['61-10=51', '34-29=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,43 unequal: No Solution
Exploring Operation: 51*5=255, Resulting Numbers: [255]
255,43 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[44, 90], Operations: ['34+10=44', '61+29=90']
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Exploring Operation: 44+90=134, Resulting Numbers: [134]
134,43 unequal: No Solution
Exploring Operation: 44*90=3960, Resulting Numbers: [3960]
3960,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[61, 73], Operations: ['34+10=44', '29+44=73']
Exploring Operation: 61+73=134, Resulting Numbers: [134]
134,43 unequal: No Solution
Exploring Operation: 61*73=4453, Resulting Numbers: [4453]
4453,43 unequal: No Solution
Exploring Operation: 73-61=12, Resulting Numbers: [12]
12,43 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
6,
15,
91,
32
] | 50 | [
"15-6=9",
"91-32=59",
"59-9=50"
] | Current State: 50:[6, 15, 91, 32], Operations: []
Exploring Operation: 15-6=9, Resulting Numbers: [91, 32, 9]
Generated Node #2: [91, 32, 9] from Operation: 15-6=9
Current State: 50:[91, 32, 9], Operations: ['15-6=9']
Exploring Operation: 91-32=59, Resulting Numbers: [9, 59]
Generated Node #3: [9, 59] from Operation: 91-32=59
Current State: 50:[9, 59], Operations: ['15-6=9', '91-32=59']
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[6, 15, 91, 32], Operations: []
Exploring Operation: 91-15=76, Resulting Numbers: [6, 32, 76]
Generated Node #0,0: 50:[6, 32, 76] Operation: 91-15=76
Exploring Operation: 91-32=59, Resulting Numbers: [6, 15, 59]
Generated Node #0,1: 50:[6, 15, 59] Operation: 91-32=59
Exploring Operation: 15+32=47, Resulting Numbers: [6, 91, 47]
Generated Node #0,2: 50:[6, 91, 47] Operation: 15+32=47
Moving to Node #0,1
Current State: 50:[6, 15, 59], Operations: ['91-32=59']
Exploring Operation: 59-15=44, Resulting Numbers: [6, 44]
Generated Node #0,1,0: 50:[6, 44] Operation: 59-15=44
Exploring Operation: 15-6=9, Resulting Numbers: [59, 9]
Generated Node #0,1,1: 50:[59, 9] Operation: 15-6=9
Exploring Operation: 59-6=53, Resulting Numbers: [15, 53]
Generated Node #0,1,2: 50:[15, 53] Operation: 59-6=53
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[6, 44], Operations: ['91-32=59', '59-15=44']
Exploring Operation: 6*44=264, Resulting Numbers: [264]
264,50 unequal: No Solution
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[6, 15, 91, 32], Operations: []
Exploring Operation: 91-32=59, Resulting Numbers: [6, 15, 59]
Generated Node #0,1: 50:[6, 15, 59] Operation: 91-32=59
Moving to Node #0,1
Current State: 50:[6, 15, 59], Operations: ['91-32=59']
Exploring Operation: 59-15=44, Resulting Numbers: [6, 44]
Generated Node #0,1,0: 50:[6, 44] Operation: 59-15=44
Moving to Node #0,1,0
Current State: 50:[6, 44], Operations: ['91-32=59', '59-15=44']
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
89,
8,
83,
96
] | 83 | [
"89+8=97",
"97-96=1",
"83*1=83"
] | Current State: 83:[89, 8, 83, 96], Operations: []
Exploring Operation: 89+8=97, Resulting Numbers: [83, 96, 97]
Generated Node #2: [83, 96, 97] from Operation: 89+8=97
Current State: 83:[83, 96, 97], Operations: ['89+8=97']
Exploring Operation: 97-96=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 97-96=1
Current State: 83:[83, 1], Operations: ['89+8=97', '97-96=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[89, 8, 83, 96], Operations: []
Exploring Operation: 89+8=97, Resulting Numbers: [83, 96, 97]
Generated Node #0,0: 83:[83, 96, 97] Operation: 89+8=97
Exploring Operation: 8+83=91, Resulting Numbers: [89, 96, 91]
Generated Node #0,1: 83:[89, 96, 91] Operation: 8+83=91
Exploring Operation: 89-8=81, Resulting Numbers: [83, 96, 81]
Generated Node #0,2: 83:[83, 96, 81] Operation: 89-8=81
Exploring Operation: 96-8=88, Resulting Numbers: [89, 83, 88]
Generated Node #0,3: 83:[89, 83, 88] Operation: 96-8=88
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[89, 83, 88], Operations: ['96-8=88']
Exploring Operation: 89-83=6, Resulting Numbers: [88, 6]
Generated Node #0,3,0: 83:[88, 6] Operation: 89-83=6
Exploring Operation: 88-83=5, Resulting Numbers: [89, 5]
Generated Node #0,3,1: 83:[89, 5] Operation: 88-83=5
Exploring Operation: 89-88=1, Resulting Numbers: [83, 1]
Generated Node #0,3,2: 83:[83, 1] Operation: 89-88=1
Exploring Operation: 89+83=172, Resulting Numbers: [88, 172]
Generated Node #0,3,3: 83:[88, 172] Operation: 89+83=172
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 83:[88, 6], Operations: ['96-8=88', '89-83=6']
Exploring Operation: 88*6=528, Resulting Numbers: [528]
528,83 unequal: No Solution
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,83 unequal: No Solution
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 83:[83, 1], Operations: ['96-8=88', '89-88=1']
Exploring Operation: 83+1=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[89, 8, 83, 96], Operations: []
Exploring Operation: 96-8=88, Resulting Numbers: [89, 83, 88]
Generated Node #0,3: 83:[89, 83, 88] Operation: 96-8=88
Moving to Node #0,3
Current State: 83:[89, 83, 88], Operations: ['96-8=88']
Exploring Operation: 89-88=1, Resulting Numbers: [83, 1]
Generated Node #0,3,2: 83:[83, 1] Operation: 89-88=1
Moving to Node #0,3,2
Current State: 83:[83, 1], Operations: ['96-8=88', '89-88=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
46,
47,
7,
2
] | 98 | [
"46+47=93",
"7-2=5",
"93+5=98"
] | Current State: 98:[46, 47, 7, 2], Operations: []
Exploring Operation: 46+47=93, Resulting Numbers: [7, 2, 93]
Generated Node #2: [7, 2, 93] from Operation: 46+47=93
Current State: 98:[7, 2, 93], Operations: ['46+47=93']
Exploring Operation: 7-2=5, Resulting Numbers: [93, 5]
Generated Node #3: [93, 5] from Operation: 7-2=5
Current State: 98:[93, 5], Operations: ['46+47=93', '7-2=5']
Exploring Operation: 93+5=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[46, 47, 7, 2], Operations: []
Exploring Operation: 47-46=1, Resulting Numbers: [7, 2, 1]
Generated Node #0,0: 98:[7, 2, 1] Operation: 47-46=1
Moving to Node #0,0
Current State: 98:[7, 2, 1], Operations: ['47-46=1']
Exploring Operation: 7*1=7, Resulting Numbers: [2, 7]
Generated Node #0,0,0: 98:[2, 7] Operation: 7*1=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[2, 7], Operations: ['47-46=1', '7*1=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,98 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 |
[
79,
93,
95,
71
] | 10 | [
"93-79=14",
"95-71=24",
"24-14=10"
] | Current State: 10:[79, 93, 95, 71], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [95, 71, 14]
Generated Node #2: [95, 71, 14] from Operation: 93-79=14
Current State: 10:[95, 71, 14], Operations: ['93-79=14']
Exploring Operation: 95-71=24, Resulting Numbers: [14, 24]
Generated Node #3: [14, 24] from Operation: 95-71=24
Current State: 10:[14, 24], Operations: ['93-79=14', '95-71=24']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[79, 93, 95, 71], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [79, 71, 2]
Generated Node #0,0: 10:[79, 71, 2] Operation: 95-93=2
Exploring Operation: 93-79=14, Resulting Numbers: [95, 71, 14]
Generated Node #0,1: 10:[95, 71, 14] Operation: 93-79=14
Exploring Operation: 95-79=16, Resulting Numbers: [93, 71, 16]
Generated Node #0,2: 10:[93, 71, 16] Operation: 95-79=16
Moving to Node #0,0
Current State: 10:[79, 71, 2], Operations: ['95-93=2']
Exploring Operation: 79-71=8, Resulting Numbers: [2, 8]
Generated Node #0,0,0: 10:[2, 8] Operation: 79-71=8
Exploring Operation: 71-2=69, Resulting Numbers: [79, 69]
Generated Node #0,0,1: 10:[79, 69] Operation: 71-2=69
Exploring Operation: 79-2=77, Resulting Numbers: [71, 77]
Generated Node #0,0,2: 10:[71, 77] Operation: 79-2=77
Moving to Node #0,1
Current State: 10:[95, 71, 14], Operations: ['93-79=14']
Exploring Operation: 71-14=57, Resulting Numbers: [95, 57]
Generated Node #0,1,0: 10:[95, 57] Operation: 71-14=57
Exploring Operation: 95-71=24, Resulting Numbers: [14, 24]
Generated Node #0,1,1: 10:[14, 24] Operation: 95-71=24
Exploring Operation: 95-14=81, Resulting Numbers: [71, 81]
Generated Node #0,1,2: 10:[71, 81] Operation: 95-14=81
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[14, 24], Operations: ['93-79=14', '95-71=24']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[79, 93, 95, 71], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [95, 71, 14]
Generated Node #0,1: 10:[95, 71, 14] Operation: 93-79=14
Moving to Node #0,1
Current State: 10:[95, 71, 14], Operations: ['93-79=14']
Exploring Operation: 95-71=24, Resulting Numbers: [14, 24]
Generated Node #0,1,1: 10:[14, 24] Operation: 95-71=24
Moving to Node #0,1,1
Current State: 10:[14, 24], Operations: ['93-79=14', '95-71=24']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
74,
91,
18,
63
] | 98 | [
"91-74=17",
"18+63=81",
"17+81=98"
] | Current State: 98:[74, 91, 18, 63], Operations: []
Exploring Operation: 91-74=17, Resulting Numbers: [18, 63, 17]
Generated Node #2: [18, 63, 17] from Operation: 91-74=17
Current State: 98:[18, 63, 17], Operations: ['91-74=17']
Exploring Operation: 18+63=81, Resulting Numbers: [17, 81]
Generated Node #3: [17, 81] from Operation: 18+63=81
Current State: 98:[17, 81], Operations: ['91-74=17', '18+63=81']
Exploring Operation: 17+81=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[74, 91, 18, 63], Operations: []
Exploring Operation: 91-74=17, Resulting Numbers: [18, 63, 17]
Generated Node #0,0: 98:[18, 63, 17] Operation: 91-74=17
Exploring Operation: 74-63=11, Resulting Numbers: [91, 18, 11]
Generated Node #0,1: 98:[91, 18, 11] Operation: 74-63=11
Moving to Node #0,1
Current State: 98:[91, 18, 11], Operations: ['74-63=11']
Exploring Operation: 91+11=102, Resulting Numbers: [18, 102]
Generated Node #0,1,0: 98:[18, 102] Operation: 91+11=102
Exploring Operation: 18-11=7, Resulting Numbers: [91, 7]
Generated Node #0,1,1: 98:[91, 7] Operation: 18-11=7
Moving to Node #0,0
Current State: 98:[18, 63, 17], Operations: ['91-74=17']
Exploring Operation: 63-17=46, Resulting Numbers: [18, 46]
Generated Node #0,0,0: 98:[18, 46] Operation: 63-17=46
Exploring Operation: 63-18=45, Resulting Numbers: [17, 45]
Generated Node #0,0,1: 98:[17, 45] Operation: 63-18=45
Moving to Node #0,1,1
Current State: 98:[91, 7], Operations: ['74-63=11', '18-11=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[74, 91, 18, 63], Operations: []
Exploring Operation: 74-63=11, Resulting Numbers: [91, 18, 11]
Generated Node #0,1: 98:[91, 18, 11] Operation: 74-63=11
Moving to Node #0,1
Current State: 98:[91, 18, 11], Operations: ['74-63=11']
Exploring Operation: 18-11=7, Resulting Numbers: [91, 7]
Generated Node #0,1,1: 98:[91, 7] Operation: 18-11=7
Moving to Node #0,1,1
Current State: 98:[91, 7], Operations: ['74-63=11', '18-11=7']
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
1,
78,
63,
27
] | 33 | [
"78-1=77",
"27*77=2079",
"2079/63=33"
] | Current State: 33:[1, 78, 63, 27], Operations: []
Exploring Operation: 78-1=77, Resulting Numbers: [63, 27, 77]
Generated Node #2: [63, 27, 77] from Operation: 78-1=77
Current State: 33:[63, 27, 77], Operations: ['78-1=77']
Exploring Operation: 27*77=2079, Resulting Numbers: [63, 2079]
Generated Node #3: [63, 2079] from Operation: 27*77=2079
Current State: 33:[63, 2079], Operations: ['78-1=77', '27*77=2079']
Exploring Operation: 2079/63=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[1, 78, 63, 27], Operations: []
Exploring Operation: 63-27=36, Resulting Numbers: [1, 78, 36]
Generated Node #0,0: 33:[1, 78, 36] Operation: 63-27=36
Exploring Operation: 78-27=51, Resulting Numbers: [1, 63, 51]
Generated Node #0,1: 33:[1, 63, 51] Operation: 78-27=51
Exploring Operation: 78-63=15, Resulting Numbers: [1, 27, 15]
Generated Node #0,2: 33:[1, 27, 15] Operation: 78-63=15
Exploring Operation: 78-1=77, Resulting Numbers: [63, 27, 77]
Generated Node #0,3: 33:[63, 27, 77] Operation: 78-1=77
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[1, 27, 15], Operations: ['78-63=15']
Exploring Operation: 27-15=12, Resulting Numbers: [1, 12]
Generated Node #0,2,0: 33:[1, 12] Operation: 27-15=12
Exploring Operation: 15-1=14, Resulting Numbers: [27, 14]
Generated Node #0,2,1: 33:[27, 14] Operation: 15-1=14
Exploring Operation: 1+27=28, Resulting Numbers: [15, 28]
Generated Node #0,2,2: 33:[15, 28] Operation: 1+27=28
Exploring Operation: 1*27=27, Resulting Numbers: [15, 27]
Generated Node #0,2,3: 33:[15, 27] Operation: 1*27=27
Moving to Node #0,2,0
Current State: 33:[1, 12], Operations: ['78-63=15', '27-15=12']
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[15, 28], Operations: ['78-63=15', '1+27=28']
Exploring Operation: 15*28=420, Resulting Numbers: [420]
420,33 unequal: No Solution
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[27, 14], Operations: ['78-63=15', '15-1=14']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,33 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,33 unequal: No Solution
Moving to Node #0,2,3
Current State: 33:[15, 27], Operations: ['78-63=15', '1*27=27']
Exploring Operation: 15*27=405, Resulting Numbers: [405]
405,33 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[1, 78, 36], Operations: ['63-27=36']
Exploring Operation: 36-1=35, Resulting Numbers: [78, 35]
Generated Node #0,0,0: 33:[78, 35] Operation: 36-1=35
Exploring Operation: 78-1=77, Resulting Numbers: [36, 77]
Generated Node #0,0,1: 33:[36, 77] Operation: 78-1=77
Exploring Operation: 78-36=42, Resulting Numbers: [1, 42]
Generated Node #0,0,2: 33:[1, 42] Operation: 78-36=42
Exploring Operation: 1*78=78, Resulting Numbers: [36, 78]
Generated Node #0,0,3: 33:[36, 78] Operation: 1*78=78
Moving to Node #0,0,2
Current State: 33:[1, 42], Operations: ['63-27=36', '78-36=42']
Exploring Operation: 1+42=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,33 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,33 unequal: No Solution
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[36, 77], Operations: ['63-27=36', '78-1=77']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,33 unequal: No Solution
Exploring Operation: 36+77=113, Resulting Numbers: [113]
113,33 unequal: No Solution
Exploring Operation: 36*77=2772, Resulting Numbers: [2772]
2772,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[78, 35], Operations: ['63-27=36', '36-1=35']
Exploring Operation: 78+35=113, Resulting Numbers: [113]
113,33 unequal: No Solution
Exploring Operation: 78*35=2730, Resulting Numbers: [2730]
2730,33 unequal: No Solution
Exploring Operation: 78-35=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[36, 78], Operations: ['63-27=36', '1*78=78']
Exploring Operation: 78-36=42, Resulting Numbers: [42]
42,33 unequal: No Solution
Exploring Operation: 36+78=114, Resulting Numbers: [114]
114,33 unequal: No Solution
Exploring Operation: 36*78=2808, Resulting Numbers: [2808]
2808,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[1, 63, 51], Operations: ['78-27=51']
Exploring Operation: 63-1=62, Resulting Numbers: [51, 62]
Generated Node #0,1,0: 33:[51, 62] Operation: 63-1=62
Exploring Operation: 1*63=63, Resulting Numbers: [51, 63]
Generated Node #0,1,1: 33:[51, 63] Operation: 1*63=63
Exploring Operation: 63-51=12, Resulting Numbers: [1, 12]
Generated Node #0,1,2: 33:[1, 12] Operation: 63-51=12
Exploring Operation: 51-1=50, Resulting Numbers: [63, 50]
Generated Node #0,1,3: 33:[63, 50] Operation: 51-1=50
Moving to Node #0,1,2
Current State: 33:[1, 12], Operations: ['78-27=51', '63-51=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Moving to Node #0,1,3
Current State: 33:[63, 50], Operations: ['78-27=51', '51-1=50']
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Exploring Operation: 63*50=3150, Resulting Numbers: [3150]
3150,33 unequal: No Solution
Exploring Operation: 63+50=113, Resulting Numbers: [113]
113,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[51, 62], Operations: ['78-27=51', '63-1=62']
Exploring Operation: 62-51=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Exploring Operation: 51*62=3162, Resulting Numbers: [3162]
3162,33 unequal: No Solution
Exploring Operation: 51+62=113, Resulting Numbers: [113]
113,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[51, 63], Operations: ['78-27=51', '1*63=63']
Exploring Operation: 51+63=114, Resulting Numbers: [114]
114,33 unequal: No Solution
Exploring Operation: 51*63=3213, Resulting Numbers: [3213]
3213,33 unequal: No Solution
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[63, 27, 77], Operations: ['78-1=77']
Exploring Operation: 63-27=36, Resulting Numbers: [77, 36]
Generated Node #0,3,0: 33:[77, 36] Operation: 63-27=36
Exploring Operation: 63+27=90, Resulting Numbers: [77, 90]
Generated Node #0,3,1: 33:[77, 90] Operation: 63+27=90
Exploring Operation: 77-27=50, Resulting Numbers: [63, 50]
Generated Node #0,3,2: 33:[63, 50] Operation: 77-27=50
Exploring Operation: 77-63=14, Resulting Numbers: [27, 14]
Generated Node #0,3,3: 33:[27, 14] Operation: 77-63=14
Moving to Node #0,3,3
Current State: 33:[27, 14], Operations: ['78-1=77', '77-63=14']
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,33 unequal: No Solution
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,33 unequal: No Solution
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[63, 50], Operations: ['78-1=77', '77-27=50']
Exploring Operation: 63+50=113, Resulting Numbers: [113]
113,33 unequal: No Solution
Exploring Operation: 63*50=3150, Resulting Numbers: [3150]
3150,33 unequal: No Solution
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Moving to Node #0,3,0
Current State: 33:[77, 36], Operations: ['78-1=77', '63-27=36']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,33 unequal: No Solution
Exploring Operation: 77+36=113, Resulting Numbers: [113]
113,33 unequal: No Solution
Exploring Operation: 77*36=2772, Resulting Numbers: [2772]
2772,33 unequal: No Solution
Moving to Node #0,3,1
Current State: 33:[77, 90], Operations: ['78-1=77', '63+27=90']
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Exploring Operation: 77*90=6930, Resulting Numbers: [6930]
6930,33 unequal: No Solution
Exploring Operation: 77+90=167, Resulting Numbers: [167]
167,33 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 |
[
59,
44,
64,
76
] | 61 | [
"76-44=32",
"64/32=2",
"59+2=61"
] | Current State: 61:[59, 44, 64, 76], Operations: []
Exploring Operation: 76-44=32, Resulting Numbers: [59, 64, 32]
Generated Node #2: [59, 64, 32] from Operation: 76-44=32
Current State: 61:[59, 64, 32], Operations: ['76-44=32']
Exploring Operation: 64/32=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 64/32=2
Current State: 61:[59, 2], Operations: ['76-44=32', '64/32=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[59, 44, 64, 76], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [59, 76, 20]
Generated Node #0,0: 61:[59, 76, 20] Operation: 64-44=20
Exploring Operation: 59+44=103, Resulting Numbers: [64, 76, 103]
Generated Node #0,1: 61:[64, 76, 103] Operation: 59+44=103
Exploring Operation: 76-44=32, Resulting Numbers: [59, 64, 32]
Generated Node #0,2: 61:[59, 64, 32] Operation: 76-44=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[59, 64, 32], Operations: ['76-44=32']
Exploring Operation: 59+32=91, Resulting Numbers: [64, 91]
Generated Node #0,2,0: 61:[64, 91] Operation: 59+32=91
Exploring Operation: 59-32=27, Resulting Numbers: [64, 27]
Generated Node #0,2,1: 61:[64, 27] Operation: 59-32=27
Exploring Operation: 64-32=32, Resulting Numbers: [59, 32]
Generated Node #0,2,2: 61:[59, 32] Operation: 64-32=32
Moving to Node #0,2,2
Current State: 61:[59, 32], Operations: ['76-44=32', '64-32=32']
Exploring Operation: 59*32=1888, Resulting Numbers: [1888]
1888,61 unequal: No Solution
Exploring Operation: 59+32=91, Resulting Numbers: [91]
91,61 unequal: No Solution
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[64, 91], Operations: ['76-44=32', '59+32=91']
Exploring Operation: 64+91=155, Resulting Numbers: [155]
155,61 unequal: No Solution
Exploring Operation: 64*91=5824, Resulting Numbers: [5824]
5824,61 unequal: No Solution
Exploring Operation: 91-64=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[64, 27], Operations: ['76-44=32', '59-32=27']
Exploring Operation: 64+27=91, Resulting Numbers: [91]
91,61 unequal: No Solution
Exploring Operation: 64*27=1728, Resulting Numbers: [1728]
1728,61 unequal: No Solution
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[59, 76, 20], Operations: ['64-44=20']
Exploring Operation: 76-20=56, Resulting Numbers: [59, 56]
Generated Node #0,0,0: 61:[59, 56] Operation: 76-20=56
Exploring Operation: 59-20=39, Resulting Numbers: [76, 39]
Generated Node #0,0,1: 61:[76, 39] Operation: 59-20=39
Exploring Operation: 59+20=79, Resulting Numbers: [76, 79]
Generated Node #0,0,2: 61:[76, 79] Operation: 59+20=79
Moving to Node #0,0,0
Current State: 61:[59, 56], Operations: ['64-44=20', '76-20=56']
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,61 unequal: No Solution
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 59*56=3304, Resulting Numbers: [3304]
3304,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[76, 79], Operations: ['64-44=20', '59+20=79']
Exploring Operation: 79-76=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 76+79=155, Resulting Numbers: [155]
155,61 unequal: No Solution
Exploring Operation: 76*79=6004, Resulting Numbers: [6004]
6004,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[76, 39], Operations: ['64-44=20', '59-20=39']
Exploring Operation: 76+39=115, Resulting Numbers: [115]
115,61 unequal: No Solution
Exploring Operation: 76-39=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 76*39=2964, Resulting Numbers: [2964]
2964,61 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
Current State: 61:[64, 76, 103], Operations: ['59+44=103']
Exploring Operation: 76-64=12, Resulting Numbers: [103, 12]
Generated Node #0,1,0: 61:[103, 12] Operation: 76-64=12
Exploring Operation: 103-64=39, Resulting Numbers: [76, 39]
Generated Node #0,1,1: 61:[76, 39] Operation: 103-64=39
Exploring Operation: 103-76=27, Resulting Numbers: [64, 27]
Generated Node #0,1,2: 61:[64, 27] Operation: 103-76=27
Moving to Node #0,1,1
Current State: 61:[76, 39], Operations: ['59+44=103', '103-64=39']
Exploring Operation: 76-39=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 76+39=115, Resulting Numbers: [115]
115,61 unequal: No Solution
Exploring Operation: 76*39=2964, Resulting Numbers: [2964]
2964,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[64, 27], Operations: ['59+44=103', '103-76=27']
Exploring Operation: 64*27=1728, Resulting Numbers: [1728]
1728,61 unequal: No Solution
Exploring Operation: 64+27=91, Resulting Numbers: [91]
91,61 unequal: No Solution
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[103, 12], Operations: ['59+44=103', '76-64=12']
Exploring Operation: 103+12=115, Resulting Numbers: [115]
115,61 unequal: No Solution
Exploring Operation: 103-12=91, Resulting Numbers: [91]
91,61 unequal: No Solution
Exploring Operation: 103*12=1236, Resulting Numbers: [1236]
1236,61 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 |
[
47,
32,
63,
76
] | 60 | [
"47+32=79",
"63+76=139",
"139-79=60"
] | Current State: 60:[47, 32, 63, 76], Operations: []
Exploring Operation: 47+32=79, Resulting Numbers: [63, 76, 79]
Generated Node #2: [63, 76, 79] from Operation: 47+32=79
Current State: 60:[63, 76, 79], Operations: ['47+32=79']
Exploring Operation: 63+76=139, Resulting Numbers: [79, 139]
Generated Node #3: [79, 139] from Operation: 63+76=139
Current State: 60:[79, 139], Operations: ['47+32=79', '63+76=139']
Exploring Operation: 139-79=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[47, 32, 63, 76], Operations: []
Exploring Operation: 76-47=29, Resulting Numbers: [32, 63, 29]
Generated Node #0,0: 60:[32, 63, 29] Operation: 76-47=29
Exploring Operation: 76-63=13, Resulting Numbers: [47, 32, 13]
Generated Node #0,1: 60:[47, 32, 13] Operation: 76-63=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[32, 63, 29], Operations: ['76-47=29']
Exploring Operation: 63-32=31, Resulting Numbers: [29, 31]
Generated Node #0,0,0: 60:[29, 31] Operation: 63-32=31
Exploring Operation: 32-29=3, Resulting Numbers: [63, 3]
Generated Node #0,0,1: 60:[63, 3] Operation: 32-29=3
Moving to Node #0,0,0
Current State: 60:[29, 31], Operations: ['76-47=29', '63-32=31']
Exploring Operation: 29+31=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[47, 32, 63, 76], Operations: []
Exploring Operation: 76-47=29, Resulting Numbers: [32, 63, 29]
Generated Node #0,0: 60:[32, 63, 29] Operation: 76-47=29
Moving to Node #0,0
Current State: 60:[32, 63, 29], Operations: ['76-47=29']
Exploring Operation: 63-32=31, Resulting Numbers: [29, 31]
Generated Node #0,0,0: 60:[29, 31] Operation: 63-32=31
Moving to Node #0,0,0
Current State: 60:[29, 31], Operations: ['76-47=29', '63-32=31']
Exploring Operation: 29+31=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
79,
13,
11,
95
] | 14 | [
"79+13=92",
"11+95=106",
"106-92=14"
] | Current State: 14:[79, 13, 11, 95], Operations: []
Exploring Operation: 79+13=92, Resulting Numbers: [11, 95, 92]
Generated Node #2: [11, 95, 92] from Operation: 79+13=92
Current State: 14:[11, 95, 92], Operations: ['79+13=92']
Exploring Operation: 11+95=106, Resulting Numbers: [92, 106]
Generated Node #3: [92, 106] from Operation: 11+95=106
Current State: 14:[92, 106], Operations: ['79+13=92', '11+95=106']
Exploring Operation: 106-92=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[79, 13, 11, 95], Operations: []
Exploring Operation: 79-13=66, Resulting Numbers: [11, 95, 66]
Generated Node #0,0: 14:[11, 95, 66] Operation: 79-13=66
Exploring Operation: 95-79=16, Resulting Numbers: [13, 11, 16]
Generated Node #0,1: 14:[13, 11, 16] Operation: 95-79=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[13, 11, 16], Operations: ['95-79=16']
Exploring Operation: 13-11=2, Resulting Numbers: [16, 2]
Generated Node #0,1,0: 14:[16, 2] Operation: 13-11=2
Exploring Operation: 16-11=5, Resulting Numbers: [13, 5]
Generated Node #0,1,1: 14:[13, 5] Operation: 16-11=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[16, 2], Operations: ['95-79=16', '13-11=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[79, 13, 11, 95], Operations: []
Exploring Operation: 95-79=16, Resulting Numbers: [13, 11, 16]
Generated Node #0,1: 14:[13, 11, 16] Operation: 95-79=16
Moving to Node #0,1
Current State: 14:[13, 11, 16], Operations: ['95-79=16']
Exploring Operation: 13-11=2, Resulting Numbers: [16, 2]
Generated Node #0,1,0: 14:[16, 2] Operation: 13-11=2
Moving to Node #0,1,0
Current State: 14:[16, 2], Operations: ['95-79=16', '13-11=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
12,
21,
56,
28
] | 61 | [
"12+21=33",
"56-28=28",
"33+28=61"
] | Current State: 61:[12, 21, 56, 28], Operations: []
Exploring Operation: 12+21=33, Resulting Numbers: [56, 28, 33]
Generated Node #2: [56, 28, 33] from Operation: 12+21=33
Current State: 61:[56, 28, 33], Operations: ['12+21=33']
Exploring Operation: 56-28=28, Resulting Numbers: [33, 28]
Generated Node #3: [33, 28] from Operation: 56-28=28
Current State: 61:[33, 28], Operations: ['12+21=33', '56-28=28']
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[12, 21, 56, 28], Operations: []
Exploring Operation: 21+28=49, Resulting Numbers: [12, 56, 49]
Generated Node #0,0: 61:[12, 56, 49] Operation: 21+28=49
Exploring Operation: 12+21=33, Resulting Numbers: [56, 28, 33]
Generated Node #0,1: 61:[56, 28, 33] Operation: 12+21=33
Exploring Operation: 12+28=40, Resulting Numbers: [21, 56, 40]
Generated Node #0,2: 61:[21, 56, 40] Operation: 12+28=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[12, 56, 49], Operations: ['21+28=49']
Exploring Operation: 12+56=68, Resulting Numbers: [49, 68]
Generated Node #0,0,0: 61:[49, 68] Operation: 12+56=68
Exploring Operation: 56-12=44, Resulting Numbers: [49, 44]
Generated Node #0,0,1: 61:[49, 44] Operation: 56-12=44
Exploring Operation: 12+49=61, Resulting Numbers: [56, 61]
Generated Node #0,0,2: 61:[56, 61] Operation: 12+49=61
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 61:[56, 61], Operations: ['21+28=49', '12+49=61']
Exploring Operation: 56*61=3416, Resulting Numbers: [3416]
3416,61 unequal: No Solution
Exploring Operation: 61-56=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Exploring Operation: 56+61=117, Resulting Numbers: [117]
117,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[49, 68], Operations: ['21+28=49', '12+56=68']
Exploring Operation: 49+68=117, Resulting Numbers: [117]
117,61 unequal: No Solution
Exploring Operation: 68-49=19, Resulting Numbers: [19]
19,61 unequal: No Solution
Exploring Operation: 49*68=3332, Resulting Numbers: [3332]
3332,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 61:[49, 44], Operations: ['21+28=49', '56-12=44']
Exploring Operation: 49*44=2156, Resulting Numbers: [2156]
2156,61 unequal: No Solution
Exploring Operation: 49-44=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Exploring Operation: 49+44=93, Resulting Numbers: [93]
93,61 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[56, 28, 33], Operations: ['12+21=33']
Exploring Operation: 56-28=28, Resulting Numbers: [33, 28]
Generated Node #0,1,0: 61:[33, 28] Operation: 56-28=28
Exploring Operation: 56+28=84, Resulting Numbers: [33, 84]
Generated Node #0,1,1: 61:[33, 84] Operation: 56+28=84
Exploring Operation: 28+33=61, Resulting Numbers: [56, 61]
Generated Node #0,1,2: 61:[56, 61] Operation: 28+33=61
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 61:[56, 61], Operations: ['12+21=33', '28+33=61']
Exploring Operation: 61-56=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Exploring Operation: 56*61=3416, Resulting Numbers: [3416]
3416,61 unequal: No Solution
Exploring Operation: 56+61=117, Resulting Numbers: [117]
117,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[33, 84], Operations: ['12+21=33', '56+28=84']
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 33+84=117, Resulting Numbers: [117]
117,61 unequal: No Solution
Exploring Operation: 33*84=2772, Resulting Numbers: [2772]
2772,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[33, 28], Operations: ['12+21=33', '56-28=28']
Exploring Operation: 33*28=924, Resulting Numbers: [924]
924,61 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[12, 21, 56, 28], Operations: []
Exploring Operation: 12+21=33, Resulting Numbers: [56, 28, 33]
Generated Node #0,1: 61:[56, 28, 33] Operation: 12+21=33
Moving to Node #0,1
Current State: 61:[56, 28, 33], Operations: ['12+21=33']
Exploring Operation: 56-28=28, Resulting Numbers: [33, 28]
Generated Node #0,1,0: 61:[33, 28] Operation: 56-28=28
Moving to Node #0,1,0
Current State: 61:[33, 28], Operations: ['12+21=33', '56-28=28']
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_3 | mult_heuristic |
[
78,
55,
66,
45
] | 24 | [
"66*45=2970",
"2970/55=54",
"78-54=24"
] | Current State: 24:[78, 55, 66, 45], Operations: []
Exploring Operation: 66*45=2970, Resulting Numbers: [78, 55, 2970]
Generated Node #2: [78, 55, 2970] from Operation: 66*45=2970
Current State: 24:[78, 55, 2970], Operations: ['66*45=2970']
Exploring Operation: 2970/55=54, Resulting Numbers: [78, 54]
Generated Node #3: [78, 54] from Operation: 2970/55=54
Current State: 24:[78, 54], Operations: ['66*45=2970', '2970/55=54']
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[78, 55, 66, 45], Operations: []
Exploring Operation: 78-55=23, Resulting Numbers: [66, 45, 23]
Generated Node #0,0: 24:[66, 45, 23] Operation: 78-55=23
Exploring Operation: 78-66=12, Resulting Numbers: [55, 45, 12]
Generated Node #0,1: 24:[55, 45, 12] Operation: 78-66=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[55, 45, 12], Operations: ['78-66=12']
Exploring Operation: 55-12=43, Resulting Numbers: [45, 43]
Generated Node #0,1,0: 24:[45, 43] Operation: 55-12=43
Exploring Operation: 55-45=10, Resulting Numbers: [12, 10]
Generated Node #0,1,1: 24:[12, 10] Operation: 55-45=10
Moving to Node #0,1,1
Current State: 24:[12, 10], Operations: ['78-66=12', '55-45=10']
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[45, 43], Operations: ['78-66=12', '55-12=43']
Exploring Operation: 45+43=88, Resulting Numbers: [88]
88,24 unequal: No Solution
Exploring Operation: 45-43=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
Current State: 24:[66, 45, 23], Operations: ['78-55=23']
Exploring Operation: 66-45=21, Resulting Numbers: [23, 21]
Generated Node #0,0,0: 24:[23, 21] Operation: 66-45=21
Exploring Operation: 66-23=43, Resulting Numbers: [45, 43]
Generated Node #0,0,1: 24:[45, 43] Operation: 66-23=43
Moving to Node #0,0,0
Current State: 24:[23, 21], Operations: ['78-55=23', '66-45=21']
Exploring Operation: 23-21=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 23+21=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[45, 43], Operations: ['78-55=23', '66-23=43']
Exploring Operation: 45+43=88, Resulting Numbers: [88]
88,24 unequal: No Solution
Exploring Operation: 45-43=2, Resulting Numbers: [2]
2,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
17,
85,
81,
87
] | 30 | [
"85/17=5",
"87-81=6",
"5*6=30"
] | Current State: 30:[17, 85, 81, 87], Operations: []
Exploring Operation: 85/17=5, Resulting Numbers: [81, 87, 5]
Generated Node #2: [81, 87, 5] from Operation: 85/17=5
Current State: 30:[81, 87, 5], Operations: ['85/17=5']
Exploring Operation: 87-81=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 87-81=6
Current State: 30:[5, 6], Operations: ['85/17=5', '87-81=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[17, 85, 81, 87], Operations: []
Exploring Operation: 85-17=68, Resulting Numbers: [81, 87, 68]
Generated Node #0,0: 30:[81, 87, 68] Operation: 85-17=68
Exploring Operation: 87-81=6, Resulting Numbers: [17, 85, 6]
Generated Node #0,1: 30:[17, 85, 6] Operation: 87-81=6
Exploring Operation: 85/17=5, Resulting Numbers: [81, 87, 5]
Generated Node #0,2: 30:[81, 87, 5] Operation: 85/17=5
Exploring Operation: 85-81=4, Resulting Numbers: [17, 87, 4]
Generated Node #0,3: 30:[17, 87, 4] Operation: 85-81=4
Exploring Operation: 87-85=2, Resulting Numbers: [17, 81, 2]
Generated Node #0,4: 30:[17, 81, 2] Operation: 87-85=2
Start Sub Search at level 1: Moving to Node #0,4
Current State: 30:[17, 81, 2], Operations: ['87-85=2']
Exploring Operation: 81-2=79, Resulting Numbers: [17, 79]
Generated Node #0,4,0: 30:[17, 79] Operation: 81-2=79
Exploring Operation: 17-2=15, Resulting Numbers: [81, 15]
Generated Node #0,4,1: 30:[81, 15] Operation: 17-2=15
Exploring Operation: 17*2=34, Resulting Numbers: [81, 34]
Generated Node #0,4,2: 30:[81, 34] Operation: 17*2=34
Exploring Operation: 81-17=64, Resulting Numbers: [2, 64]
Generated Node #0,4,3: 30:[2, 64] Operation: 81-17=64
Exploring Operation: 17+2=19, Resulting Numbers: [81, 19]
Generated Node #0,4,4: 30:[81, 19] Operation: 17+2=19
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 30:[2, 64], Operations: ['87-85=2', '81-17=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,30 unequal: No Solution
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,30 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,30 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 30:[17, 79], Operations: ['87-85=2', '81-2=79']
Exploring Operation: 17+79=96, Resulting Numbers: [96]
96,30 unequal: No Solution
Exploring Operation: 79-17=62, Resulting Numbers: [62]
62,30 unequal: No Solution
Exploring Operation: 17*79=1343, Resulting Numbers: [1343]
1343,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 30:[81, 15], Operations: ['87-85=2', '17-2=15']
Exploring Operation: 81*15=1215, Resulting Numbers: [1215]
1215,30 unequal: No Solution
Exploring Operation: 81+15=96, Resulting Numbers: [96]
96,30 unequal: No Solution
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 30:[81, 34], Operations: ['87-85=2', '17*2=34']
Exploring Operation: 81*34=2754, Resulting Numbers: [2754]
2754,30 unequal: No Solution
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,30 unequal: No Solution
Exploring Operation: 81+34=115, Resulting Numbers: [115]
115,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 30:[81, 19], Operations: ['87-85=2', '17+2=19']
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,30 unequal: No Solution
Exploring Operation: 81*19=1539, Resulting Numbers: [1539]
1539,30 unequal: No Solution
Exploring Operation: 81+19=100, Resulting Numbers: [100]
100,30 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: 30:[17, 85, 6], Operations: ['87-81=6']
Exploring Operation: 85/17=5, Resulting Numbers: [6, 5]
Generated Node #0,1,0: 30:[6, 5] Operation: 85/17=5
Exploring Operation: 17-6=11, Resulting Numbers: [85, 11]
Generated Node #0,1,1: 30:[85, 11] Operation: 17-6=11
Exploring Operation: 85-17=68, Resulting Numbers: [6, 68]
Generated Node #0,1,2: 30:[6, 68] Operation: 85-17=68
Exploring Operation: 17+6=23, Resulting Numbers: [85, 23]
Generated Node #0,1,3: 30:[85, 23] Operation: 17+6=23
Exploring Operation: 85-6=79, Resulting Numbers: [17, 79]
Generated Node #0,1,4: 30:[17, 79] Operation: 85-6=79
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[6, 5], Operations: ['87-81=6', '85/17=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[17, 85, 81, 87], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [17, 85, 6]
Generated Node #0,1: 30:[17, 85, 6] Operation: 87-81=6
Moving to Node #0,1
Current State: 30:[17, 85, 6], Operations: ['87-81=6']
Exploring Operation: 85/17=5, Resulting Numbers: [6, 5]
Generated Node #0,1,0: 30:[6, 5] Operation: 85/17=5
Moving to Node #0,1,0
Current State: 30:[6, 5], Operations: ['87-81=6', '85/17=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_5 | sum_heuristic |
[
96,
21,
71,
59
] | 13 | [
"96+21=117",
"71+59=130",
"130-117=13"
] | Current State: 13:[96, 21, 71, 59], Operations: []
Exploring Operation: 96+21=117, Resulting Numbers: [71, 59, 117]
Generated Node #2: [71, 59, 117] from Operation: 96+21=117
Current State: 13:[71, 59, 117], Operations: ['96+21=117']
Exploring Operation: 71+59=130, Resulting Numbers: [117, 130]
Generated Node #3: [117, 130] from Operation: 71+59=130
Current State: 13:[117, 130], Operations: ['96+21=117', '71+59=130']
Exploring Operation: 130-117=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[96, 21, 71, 59], Operations: []
Exploring Operation: 96-21=75, Resulting Numbers: [71, 59, 75]
Generated Node #0,0: 13:[71, 59, 75] Operation: 96-21=75
Exploring Operation: 96-71=25, Resulting Numbers: [21, 59, 25]
Generated Node #0,1: 13:[21, 59, 25] Operation: 96-71=25
Exploring Operation: 71-59=12, Resulting Numbers: [96, 21, 12]
Generated Node #0,2: 13:[96, 21, 12] Operation: 71-59=12
Exploring Operation: 96-59=37, Resulting Numbers: [21, 71, 37]
Generated Node #0,3: 13:[21, 71, 37] Operation: 96-59=37
Exploring Operation: 71-21=50, Resulting Numbers: [96, 59, 50]
Generated Node #0,4: 13:[96, 59, 50] Operation: 71-21=50
Moving to Node #0,1
Current State: 13:[21, 59, 25], Operations: ['96-71=25']
Exploring Operation: 59-25=34, Resulting Numbers: [21, 34]
Generated Node #0,1,0: 13:[21, 34] Operation: 59-25=34
Exploring Operation: 25-21=4, Resulting Numbers: [59, 4]
Generated Node #0,1,1: 13:[59, 4] Operation: 25-21=4
Exploring Operation: 21+25=46, Resulting Numbers: [59, 46]
Generated Node #0,1,2: 13:[59, 46] Operation: 21+25=46
Exploring Operation: 21+59=80, Resulting Numbers: [25, 80]
Generated Node #0,1,3: 13:[25, 80] Operation: 21+59=80
Exploring Operation: 59-21=38, Resulting Numbers: [25, 38]
Generated Node #0,1,4: 13:[25, 38] Operation: 59-21=38
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[21, 34], Operations: ['96-71=25', '59-25=34']
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[96, 21, 71, 59], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [21, 59, 25]
Generated Node #0,1: 13:[21, 59, 25] Operation: 96-71=25
Moving to Node #0,1
Current State: 13:[21, 59, 25], Operations: ['96-71=25']
Exploring Operation: 59-25=34, Resulting Numbers: [21, 34]
Generated Node #0,1,0: 13:[21, 34] Operation: 59-25=34
Moving to Node #0,1,0
Current State: 13:[21, 34], Operations: ['96-71=25', '59-25=34']
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
21,
51,
36,
44
] | 73 | [
"36*44=1584",
"1584-51=1533",
"1533/21=73"
] | Current State: 73:[21, 51, 36, 44], Operations: []
Exploring Operation: 36*44=1584, Resulting Numbers: [21, 51, 1584]
Generated Node #2: [21, 51, 1584] from Operation: 36*44=1584
Current State: 73:[21, 51, 1584], Operations: ['36*44=1584']
Exploring Operation: 1584-51=1533, Resulting Numbers: [21, 1533]
Generated Node #3: [21, 1533] from Operation: 1584-51=1533
Current State: 73:[21, 1533], Operations: ['36*44=1584', '1584-51=1533']
Exploring Operation: 1533/21=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[21, 51, 36, 44], Operations: []
Exploring Operation: 36+44=80, Resulting Numbers: [21, 51, 80]
Generated Node #0,0: 73:[21, 51, 80] Operation: 36+44=80
Exploring Operation: 21+44=65, Resulting Numbers: [51, 36, 65]
Generated Node #0,1: 73:[51, 36, 65] Operation: 21+44=65
Exploring Operation: 21+51=72, Resulting Numbers: [36, 44, 72]
Generated Node #0,2: 73:[36, 44, 72] Operation: 21+51=72
Exploring Operation: 21+36=57, Resulting Numbers: [51, 44, 57]
Generated Node #0,3: 73:[51, 44, 57] Operation: 21+36=57
Exploring Operation: 51+36=87, Resulting Numbers: [21, 44, 87]
Generated Node #0,4: 73:[21, 44, 87] Operation: 51+36=87
Moving to Node #0,1
Current State: 73:[51, 36, 65], Operations: ['21+44=65']
Exploring Operation: 36+65=101, Resulting Numbers: [51, 101]
Generated Node #0,1,0: 73:[51, 101] Operation: 36+65=101
Exploring Operation: 51+65=116, Resulting Numbers: [36, 116]
Generated Node #0,1,1: 73:[36, 116] Operation: 51+65=116
Exploring Operation: 65-36=29, Resulting Numbers: [51, 29]
Generated Node #0,1,2: 73:[51, 29] Operation: 65-36=29
Exploring Operation: 51+36=87, Resulting Numbers: [65, 87]
Generated Node #0,1,3: 73:[65, 87] Operation: 51+36=87
Exploring Operation: 51-36=15, Resulting Numbers: [65, 15]
Generated Node #0,1,4: 73:[65, 15] Operation: 51-36=15
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 73:[65, 87], Operations: ['21+44=65', '51+36=87']
Exploring Operation: 65*87=5655, Resulting Numbers: [5655]
5655,73 unequal: No Solution
Exploring Operation: 65+87=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Exploring Operation: 87-65=22, Resulting Numbers: [22]
22,73 unequal: No Solution
No solution 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: 73:[51, 101], Operations: ['21+44=65', '36+65=101']
Exploring Operation: 51*101=5151, Resulting Numbers: [5151]
5151,73 unequal: No Solution
Exploring Operation: 51+101=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Exploring Operation: 101-51=50, Resulting Numbers: [50]
50,73 unequal: No Solution
No solution 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: 73:[51, 29], Operations: ['21+44=65', '65-36=29']
Exploring Operation: 51*29=1479, Resulting Numbers: [1479]
1479,73 unequal: No Solution
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,73 unequal: No Solution
Exploring Operation: 51+29=80, Resulting Numbers: [80]
80,73 unequal: No Solution
No solution 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: 73:[65, 15], Operations: ['21+44=65', '51-36=15']
Exploring Operation: 65*15=975, Resulting Numbers: [975]
975,73 unequal: No Solution
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,73 unequal: No Solution
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,73 unequal: No Solution
No solution 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: 73:[36, 116], Operations: ['21+44=65', '51+65=116']
Exploring Operation: 36+116=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Exploring Operation: 36*116=4176, Resulting Numbers: [4176]
4176,73 unequal: No Solution
Exploring Operation: 116-36=80, Resulting Numbers: [80]
80,73 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: 73:[51, 44, 57], Operations: ['21+36=57']
Exploring Operation: 51+57=108, Resulting Numbers: [44, 108]
Generated Node #0,3,0: 73:[44, 108] Operation: 51+57=108
Exploring Operation: 57-44=13, Resulting Numbers: [51, 13]
Generated Node #0,3,1: 73:[51, 13] Operation: 57-44=13
Exploring Operation: 51+44=95, Resulting Numbers: [57, 95]
Generated Node #0,3,2: 73:[57, 95] Operation: 51+44=95
Exploring Operation: 51-44=7, Resulting Numbers: [57, 7]
Generated Node #0,3,3: 73:[57, 7] Operation: 51-44=7
Exploring Operation: 44+57=101, Resulting Numbers: [51, 101]
Generated Node #0,3,4: 73:[51, 101] Operation: 44+57=101
Moving to Node #0,2
Current State: 73:[36, 44, 72], Operations: ['21+51=72']
Exploring Operation: 44+72=116, Resulting Numbers: [36, 116]
Generated Node #0,2,0: 73:[36, 116] Operation: 44+72=116
Exploring Operation: 72-36=36, Resulting Numbers: [44, 36]
Generated Node #0,2,1: 73:[44, 36] Operation: 72-36=36
Exploring Operation: 44-36=8, Resulting Numbers: [72, 8]
Generated Node #0,2,2: 73:[72, 8] Operation: 44-36=8
Exploring Operation: 36+72=108, Resulting Numbers: [44, 108]
Generated Node #0,2,3: 73:[44, 108] Operation: 36+72=108
Exploring Operation: 36+44=80, Resulting Numbers: [72, 80]
Generated Node #0,2,4: 73:[72, 80] Operation: 36+44=80
Moving to Node #0,0
Current State: 73:[21, 51, 80], Operations: ['36+44=80']
Exploring Operation: 51-21=30, Resulting Numbers: [80, 30]
Generated Node #0,0,0: 73:[80, 30] Operation: 51-21=30
Exploring Operation: 21+80=101, Resulting Numbers: [51, 101]
Generated Node #0,0,1: 73:[51, 101] Operation: 21+80=101
Exploring Operation: 80-51=29, Resulting Numbers: [21, 29]
Generated Node #0,0,2: 73:[21, 29] Operation: 80-51=29
Exploring Operation: 21+51=72, Resulting Numbers: [80, 72]
Generated Node #0,0,3: 73:[80, 72] Operation: 21+51=72
Exploring Operation: 80-21=59, Resulting Numbers: [51, 59]
Generated Node #0,0,4: 73:[51, 59] Operation: 80-21=59
Moving to Node #0,4
Current State: 73:[21, 44, 87], Operations: ['51+36=87']
Exploring Operation: 21+44=65, Resulting Numbers: [87, 65]
Generated Node #0,4,0: 73:[87, 65] Operation: 21+44=65
Exploring Operation: 87-44=43, Resulting Numbers: [21, 43]
Generated Node #0,4,1: 73:[21, 43] Operation: 87-44=43
Exploring Operation: 87-21=66, Resulting Numbers: [44, 66]
Generated Node #0,4,2: 73:[44, 66] Operation: 87-21=66
Exploring Operation: 21+87=108, Resulting Numbers: [44, 108]
Generated Node #0,4,3: 73:[44, 108] Operation: 21+87=108
Exploring Operation: 44-21=23, Resulting Numbers: [87, 23]
Generated Node #0,4,4: 73:[87, 23] Operation: 44-21=23
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 73:[87, 65], Operations: ['51+36=87', '21+44=65']
Exploring Operation: 87-65=22, Resulting Numbers: [22]
22,73 unequal: No Solution
Exploring Operation: 87*65=5655, Resulting Numbers: [5655]
5655,73 unequal: No Solution
Exploring Operation: 87+65=152, Resulting Numbers: [152]
152,73 unequal: No Solution
No 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: 73:[44, 66], Operations: ['51+36=87', '87-21=66']
Exploring Operation: 66-44=22, Resulting Numbers: [22]
22,73 unequal: No Solution
Exploring Operation: 44+66=110, Resulting Numbers: [110]
110,73 unequal: No Solution
Exploring Operation: 44*66=2904, Resulting Numbers: [2904]
2904,73 unequal: No Solution
No 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: 73:[44, 108], Operations: ['51+36=87', '21+87=108']
Exploring Operation: 108-44=64, Resulting Numbers: [64]
64,73 unequal: No Solution
Exploring Operation: 44*108=4752, Resulting Numbers: [4752]
4752,73 unequal: No Solution
Exploring Operation: 44+108=152, Resulting Numbers: [152]
152,73 unequal: No Solution
No 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: 73:[87, 23], Operations: ['51+36=87', '44-21=23']
Exploring Operation: 87+23=110, Resulting Numbers: [110]
110,73 unequal: No Solution
Exploring Operation: 87-23=64, Resulting Numbers: [64]
64,73 unequal: No Solution
Exploring Operation: 87*23=2001, Resulting Numbers: [2001]
2001,73 unequal: No Solution
No 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: 73:[21, 43], Operations: ['51+36=87', '87-44=43']
Exploring Operation: 21+43=64, Resulting Numbers: [64]
64,73 unequal: No Solution
Exploring Operation: 21*43=903, Resulting Numbers: [903]
903,73 unequal: No Solution
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,4
Current State: 73:[72, 80], Operations: ['21+51=72', '36+44=80']
Exploring Operation: 72+80=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Exploring Operation: 72*80=5760, Resulting Numbers: [5760]
5760,73 unequal: No Solution
Exploring Operation: 80-72=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[80, 72], Operations: ['36+44=80', '21+51=72']
Exploring Operation: 80*72=5760, Resulting Numbers: [5760]
5760,73 unequal: No Solution
Exploring Operation: 80+72=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Exploring Operation: 80-72=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[51, 59], Operations: ['36+44=80', '80-21=59']
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 51+59=110, Resulting Numbers: [110]
110,73 unequal: No Solution
Exploring Operation: 51*59=3009, Resulting Numbers: [3009]
3009,73 unequal: No Solution
Moving to Node #0,3,2
Current State: 73:[57, 95], Operations: ['21+36=57', '51+44=95']
Exploring Operation: 57+95=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Exploring Operation: 95-57=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 57*95=5415, Resulting Numbers: [5415]
5415,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[51, 101], Operations: ['36+44=80', '21+80=101']
Exploring Operation: 101-51=50, Resulting Numbers: [50]
50,73 unequal: No Solution
Exploring Operation: 51+101=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Exploring Operation: 51*101=5151, Resulting Numbers: [5151]
5151,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[80, 30], Operations: ['36+44=80', '51-21=30']
Exploring Operation: 80+30=110, Resulting Numbers: [110]
110,73 unequal: No Solution
Exploring Operation: 80*30=2400, Resulting Numbers: [2400]
2400,73 unequal: No Solution
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,73 unequal: No Solution
Moving to Node #0,3,4
Current State: 73:[51, 101], Operations: ['21+36=57', '44+57=101']
Exploring Operation: 101-51=50, Resulting Numbers: [50]
50,73 unequal: No Solution
Exploring Operation: 51*101=5151, Resulting Numbers: [5151]
5151,73 unequal: No Solution
Exploring Operation: 51+101=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[44, 108], Operations: ['21+51=72', '36+72=108']
Exploring Operation: 108-44=64, Resulting Numbers: [64]
64,73 unequal: No Solution
Exploring Operation: 44+108=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Exploring Operation: 44*108=4752, Resulting Numbers: [4752]
4752,73 unequal: No Solution
Moving to Node #0,3,0
Current State: 73:[44, 108], Operations: ['21+36=57', '51+57=108']
Exploring Operation: 44*108=4752, Resulting Numbers: [4752]
4752,73 unequal: No Solution
Exploring Operation: 44+108=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Exploring Operation: 108-44=64, Resulting Numbers: [64]
64,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[44, 36], Operations: ['21+51=72', '72-36=36']
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 44+36=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 44*36=1584, Resulting Numbers: [1584]
1584,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[72, 8], Operations: ['21+51=72', '44-36=8']
Exploring Operation: 72*8=576, Resulting Numbers: [576]
576,73 unequal: No Solution
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,73 unequal: No Solution
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[36, 116], Operations: ['21+51=72', '44+72=116']
Exploring Operation: 116-36=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 36+116=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Exploring Operation: 36*116=4176, Resulting Numbers: [4176]
4176,73 unequal: No Solution
Moving to Node #0,3,3
Current State: 73:[57, 7], Operations: ['21+36=57', '51-44=7']
Exploring Operation: 57*7=399, Resulting Numbers: [399]
399,73 unequal: No Solution
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,73 unequal: No Solution
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,73 unequal: No Solution
Moving to Node #0,3,1
Current State: 73:[51, 13], Operations: ['21+36=57', '57-44=13']
Exploring Operation: 51*13=663, Resulting Numbers: [663]
663,73 unequal: No Solution
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 51+13=64, Resulting Numbers: [64]
64,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[21, 29], Operations: ['36+44=80', '80-51=29']
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 21+29=50, Resulting Numbers: [50]
50,73 unequal: No Solution
Exploring Operation: 21*29=609, Resulting Numbers: [609]
609,73 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
17,
95,
75,
70
] | 60 | [
"95+75=170",
"170/17=10",
"70-10=60"
] | Current State: 60:[17, 95, 75, 70], Operations: []
Exploring Operation: 95+75=170, Resulting Numbers: [17, 70, 170]
Generated Node #2: [17, 70, 170] from Operation: 95+75=170
Current State: 60:[17, 70, 170], Operations: ['95+75=170']
Exploring Operation: 170/17=10, Resulting Numbers: [70, 10]
Generated Node #3: [70, 10] from Operation: 170/17=10
Current State: 60:[70, 10], Operations: ['95+75=170', '170/17=10']
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[17, 95, 75, 70], Operations: []
Exploring Operation: 95-75=20, Resulting Numbers: [17, 70, 20]
Generated Node #0,0: 60:[17, 70, 20] Operation: 95-75=20
Moving to Node #0,0
Current State: 60:[17, 70, 20], Operations: ['95-75=20']
Exploring Operation: 70-17=53, Resulting Numbers: [20, 53]
Generated Node #0,0,0: 60:[20, 53] Operation: 70-17=53
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[20, 53], Operations: ['95-75=20', '70-17=53']
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,60 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 |
[
68,
17,
90,
35
] | 51 | [
"68/17=4",
"90-35=55",
"55-4=51"
] | Current State: 51:[68, 17, 90, 35], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [90, 35, 4]
Generated Node #2: [90, 35, 4] from Operation: 68/17=4
Current State: 51:[90, 35, 4], Operations: ['68/17=4']
Exploring Operation: 90-35=55, Resulting Numbers: [4, 55]
Generated Node #3: [4, 55] from Operation: 90-35=55
Current State: 51:[4, 55], Operations: ['68/17=4', '90-35=55']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[68, 17, 90, 35], Operations: []
Exploring Operation: 68-35=33, Resulting Numbers: [17, 90, 33]
Generated Node #0,0: 51:[17, 90, 33] Operation: 68-35=33
Exploring Operation: 68-17=51, Resulting Numbers: [90, 35, 51]
Generated Node #0,1: 51:[90, 35, 51] Operation: 68-17=51
Exploring Operation: 90-35=55, Resulting Numbers: [68, 17, 55]
Generated Node #0,2: 51:[68, 17, 55] Operation: 90-35=55
Exploring Operation: 90-68=22, Resulting Numbers: [17, 35, 22]
Generated Node #0,3: 51:[17, 35, 22] Operation: 90-68=22
Moving to Node #0,2
Current State: 51:[68, 17, 55], Operations: ['90-35=55']
Exploring Operation: 68-17=51, Resulting Numbers: [55, 51]
Generated Node #0,2,0: 51:[55, 51] Operation: 68-17=51
Exploring Operation: 68-55=13, Resulting Numbers: [17, 13]
Generated Node #0,2,1: 51:[17, 13] Operation: 68-55=13
Exploring Operation: 68/17=4, Resulting Numbers: [55, 4]
Generated Node #0,2,2: 51:[55, 4] Operation: 68/17=4
Exploring Operation: 55-17=38, Resulting Numbers: [68, 38]
Generated Node #0,2,3: 51:[68, 38] Operation: 55-17=38
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[55, 51], Operations: ['90-35=55', '68-17=51']
Exploring Operation: 55*51=2805, Resulting Numbers: [2805]
2805,51 unequal: No Solution
Exploring Operation: 55+51=106, Resulting Numbers: [106]
106,51 unequal: No Solution
Exploring Operation: 55-51=4, Resulting Numbers: [4]
4,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 51:[17, 13], Operations: ['90-35=55', '68-55=13']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,51 unequal: No Solution
Exploring Operation: 17*13=221, Resulting Numbers: [221]
221,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 51:[55, 4], Operations: ['90-35=55', '68/17=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[68, 17, 90, 35], Operations: []
Exploring Operation: 90-35=55, Resulting Numbers: [68, 17, 55]
Generated Node #0,2: 51:[68, 17, 55] Operation: 90-35=55
Moving to Node #0,2
Current State: 51:[68, 17, 55], Operations: ['90-35=55']
Exploring Operation: 68/17=4, Resulting Numbers: [55, 4]
Generated Node #0,2,2: 51:[55, 4] Operation: 68/17=4
Moving to Node #0,2,2
Current State: 51:[55, 4], Operations: ['90-35=55', '68/17=4']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
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