nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 | search_path stringlengths 505 16.8k | rating float64 0 0.99 | search_type stringclasses 5
values | heuristic stringclasses 2
values |
|---|---|---|---|---|---|---|---|---|
[
12,
8,
4,
92
] | 11 | [
"8-4=4",
"92/4=23",
"23-12=11"
] | Current State: 11:[12, 8, 4, 92], Operations: []
Exploring Operation: 8-4=4, Resulting Numbers: [12, 92, 4]
Generated Node #2: [12, 92, 4] from Operation: 8-4=4
Current State: 11:[12, 92, 4], Operations: ['8-4=4']
Exploring Operation: 92/4=23, Resulting Numbers: [12, 23]
Generated Node #3: [12, 23] from Operation: 92/4=23
Current State: 11:[12, 23], Operations: ['8-4=4', '92/4=23']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[12, 8, 4, 92], Operations: []
Exploring Operation: 92-12=80, Resulting Numbers: [8, 4, 80]
Generated Node #0,0: 11:[8, 4, 80] Operation: 92-12=80
Exploring Operation: 92/4=23, Resulting Numbers: [12, 8, 23]
Generated Node #0,1: 11:[12, 8, 23] Operation: 92/4=23
Moving to Node #0,1
Current State: 11:[12, 8, 23], Operations: ['92/4=23']
Exploring Operation: 23-12=11, Resulting Numbers: [8, 11]
Generated Node #0,1,0: 11:[8, 11] Operation: 23-12=11
Exploring Operation: 23-8=15, Resulting Numbers: [12, 15]
Generated Node #0,1,1: 11:[12, 15] Operation: 23-8=15
Moving to Node #0,0
Current State: 11:[8, 4, 80], Operations: ['92-12=80']
Exploring Operation: 80/4=20, Resulting Numbers: [8, 20]
Generated Node #0,0,0: 11:[8, 20] Operation: 80/4=20
Exploring Operation: 80/8=10, Resulting Numbers: [4, 10]
Generated Node #0,0,1: 11:[4, 10] Operation: 80/8=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[4, 10], Operations: ['92-12=80', '80/8=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[8, 20], Operations: ['92-12=80', '80/4=20']
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 11:[8, 11], Operations: ['92/4=23', '23-12=11']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[12, 15], Operations: ['92/4=23', '23-8=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,11 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,11 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
62,
21,
9,
1
] | 91 | [
"62+21=83",
"9-1=8",
"83+8=91"
] | Current State: 91:[62, 21, 9, 1], Operations: []
Exploring Operation: 62+21=83, Resulting Numbers: [9, 1, 83]
Generated Node #2: [9, 1, 83] from Operation: 62+21=83
Current State: 91:[9, 1, 83], Operations: ['62+21=83']
Exploring Operation: 9-1=8, Resulting Numbers: [83, 8]
Generated Node #3: [83, 8] from Operation: 9-1=8
Current State: 91:[83, 8], Operations: ['62+21=83', '9-1=8']
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[62, 21, 9, 1], Operations: []
Exploring Operation: 62+21=83, Resulting Numbers: [9, 1, 83]
Generated Node #0,0: 91:[9, 1, 83] Operation: 62+21=83
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[9, 1, 83], Operations: ['62+21=83']
Exploring Operation: 9+83=92, Resulting Numbers: [1, 92]
Generated Node #0,0,0: 91:[1, 92] Operation: 9+83=92
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[1, 92], Operations: ['62+21=83', '9+83=92']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[62, 21, 9, 1], Operations: []
Exploring Operation: 62+21=83, Resulting Numbers: [9, 1, 83]
Generated Node #0,0: 91:[9, 1, 83] Operation: 62+21=83
Moving to Node #0,0
Current State: 91:[9, 1, 83], Operations: ['62+21=83']
Exploring Operation: 9+83=92, Resulting Numbers: [1, 92]
Generated Node #0,0,0: 91:[1, 92] Operation: 9+83=92
Moving to Node #0,0,0
Current State: 91:[1, 92], Operations: ['62+21=83', '9+83=92']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
60,
2,
26,
85
] | 93 | [
"60+85=145",
"2*26=52",
"145-52=93"
] | Current State: 93:[60, 2, 26, 85], Operations: []
Exploring Operation: 60+85=145, Resulting Numbers: [2, 26, 145]
Generated Node #2: [2, 26, 145] from Operation: 60+85=145
Current State: 93:[2, 26, 145], Operations: ['60+85=145']
Exploring Operation: 2*26=52, Resulting Numbers: [145, 52]
Generated Node #3: [145, 52] from Operation: 2*26=52
Current State: 93:[145, 52], Operations: ['60+85=145', '2*26=52']
Exploring Operation: 145-52=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[60, 2, 26, 85], Operations: []
Exploring Operation: 85-60=25, Resulting Numbers: [2, 26, 25]
Generated Node #0,0: 93:[2, 26, 25] Operation: 85-60=25
Exploring Operation: 60-26=34, Resulting Numbers: [2, 85, 34]
Generated Node #0,1: 93:[2, 85, 34] Operation: 60-26=34
Exploring Operation: 60/2=30, Resulting Numbers: [26, 85, 30]
Generated Node #0,2: 93:[26, 85, 30] Operation: 60/2=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[2, 26, 25], Operations: ['85-60=25']
Exploring Operation: 2+26=28, Resulting Numbers: [25, 28]
Generated Node #0,0,0: 93:[25, 28] Operation: 2+26=28
Exploring Operation: 26-25=1, Resulting Numbers: [2, 1]
Generated Node #0,0,1: 93:[2, 1] Operation: 26-25=1
Exploring Operation: 2+25=27, Resulting Numbers: [26, 27]
Generated Node #0,0,2: 93:[26, 27] Operation: 2+25=27
Moving to Node #0,0,1
Current State: 93:[2, 1], Operations: ['85-60=25', '26-25=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[25, 28], Operations: ['85-60=25', '2+26=28']
Exploring Operation: 25*28=700, Resulting Numbers: [700]
700,93 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 25+28=53, Resulting Numbers: [53]
53,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[26, 27], Operations: ['85-60=25', '2+25=27']
Exploring Operation: 26*27=702, Resulting Numbers: [702]
702,93 unequal: No Solution
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,93 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[2, 85, 34], Operations: ['60-26=34']
Exploring Operation: 2+85=87, Resulting Numbers: [34, 87]
Generated Node #0,1,0: 93:[34, 87] Operation: 2+85=87
Exploring Operation: 85-2=83, Resulting Numbers: [34, 83]
Generated Node #0,1,1: 93:[34, 83] Operation: 85-2=83
Exploring Operation: 34-2=32, Resulting Numbers: [85, 32]
Generated Node #0,1,2: 93:[85, 32] Operation: 34-2=32
Moving to Node #0,1,0
Current State: 93:[34, 87], Operations: ['60-26=34', '2+85=87']
Exploring Operation: 87-34=53, Resulting Numbers: [53]
53,93 unequal: No Solution
Exploring Operation: 34*87=2958, Resulting Numbers: [2958]
2958,93 unequal: No Solution
Exploring Operation: 34+87=121, Resulting Numbers: [121]
121,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[85, 32], Operations: ['60-26=34', '34-2=32']
Exploring Operation: 85-32=53, Resulting Numbers: [53]
53,93 unequal: No Solution
Exploring Operation: 85*32=2720, Resulting Numbers: [2720]
2720,93 unequal: No Solution
Exploring Operation: 85+32=117, Resulting Numbers: [117]
117,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[34, 83], Operations: ['60-26=34', '85-2=83']
Exploring Operation: 34+83=117, Resulting Numbers: [117]
117,93 unequal: No Solution
Exploring Operation: 34*83=2822, Resulting Numbers: [2822]
2822,93 unequal: No Solution
Exploring Operation: 83-34=49, Resulting Numbers: [49]
49,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[26, 85, 30], Operations: ['60/2=30']
Exploring Operation: 85+30=115, Resulting Numbers: [26, 115]
Generated Node #0,2,0: 93:[26, 115] Operation: 85+30=115
Exploring Operation: 26+85=111, Resulting Numbers: [30, 111]
Generated Node #0,2,1: 93:[30, 111] Operation: 26+85=111
Exploring Operation: 30-26=4, Resulting Numbers: [85, 4]
Generated Node #0,2,2: 93:[85, 4] Operation: 30-26=4
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 93:[85, 4], Operations: ['60/2=30', '30-26=4']
Exploring Operation: 85*4=340, Resulting Numbers: [340]
340,93 unequal: No Solution
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,93 unequal: No Solution
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,93 unequal: No Solution
No 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: 93:[30, 111], Operations: ['60/2=30', '26+85=111']
Exploring Operation: 30*111=3330, Resulting Numbers: [3330]
3330,93 unequal: No Solution
Exploring Operation: 30+111=141, Resulting Numbers: [141]
141,93 unequal: No Solution
Exploring Operation: 111-30=81, Resulting Numbers: [81]
81,93 unequal: No Solution
No 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: 93:[26, 115], Operations: ['60/2=30', '85+30=115']
Exploring Operation: 115-26=89, Resulting Numbers: [89]
89,93 unequal: No Solution
Exploring Operation: 26*115=2990, Resulting Numbers: [2990]
2990,93 unequal: No Solution
Exploring Operation: 26+115=141, Resulting Numbers: [141]
141,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
1,
85,
6,
61
] | 78 | [
"6-1=5",
"85/5=17",
"61+17=78"
] | Current State: 78:[1, 85, 6, 61], Operations: []
Exploring Operation: 6-1=5, Resulting Numbers: [85, 61, 5]
Generated Node #2: [85, 61, 5] from Operation: 6-1=5
Current State: 78:[85, 61, 5], Operations: ['6-1=5']
Exploring Operation: 85/5=17, Resulting Numbers: [61, 17]
Generated Node #3: [61, 17] from Operation: 85/5=17
Current State: 78:[61, 17], Operations: ['6-1=5', '85/5=17']
Exploring Operation: 61+17=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[1, 85, 6, 61], Operations: []
Exploring Operation: 85-61=24, Resulting Numbers: [1, 6, 24]
Generated Node #0,0: 78:[1, 6, 24] Operation: 85-61=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[1, 6, 24], Operations: ['85-61=24']
Exploring Operation: 1+24=25, Resulting Numbers: [6, 25]
Generated Node #0,0,0: 78:[6, 25] Operation: 1+24=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[6, 25], Operations: ['85-61=24', '1+24=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,78 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 |
[
87,
63,
9,
66
] | 91 | [
"87*66=5742",
"5742-9=5733",
"5733/63=91"
] | Current State: 91:[87, 63, 9, 66], Operations: []
Exploring Operation: 87*66=5742, Resulting Numbers: [63, 9, 5742]
Generated Node #2: [63, 9, 5742] from Operation: 87*66=5742
Current State: 91:[63, 9, 5742], Operations: ['87*66=5742']
Exploring Operation: 5742-9=5733, Resulting Numbers: [63, 5733]
Generated Node #3: [63, 5733] from Operation: 5742-9=5733
Current State: 91:[63, 5733], Operations: ['87*66=5742', '5742-9=5733']
Exploring Operation: 5733/63=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[87, 63, 9, 66], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [87, 9, 3]
Generated Node #0,0: 91:[87, 9, 3] Operation: 66-63=3
Exploring Operation: 63/9=7, Resulting Numbers: [87, 66, 7]
Generated Node #0,1: 91:[87, 66, 7] Operation: 63/9=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[87, 9, 3], Operations: ['66-63=3']
Exploring Operation: 87+3=90, Resulting Numbers: [9, 90]
Generated Node #0,0,0: 91:[9, 90] Operation: 87+3=90
Exploring Operation: 9+3=12, Resulting Numbers: [87, 12]
Generated Node #0,0,1: 91:[87, 12] Operation: 9+3=12
Moving to Node #0,0,0
Current State: 91:[9, 90], Operations: ['66-63=3', '87+3=90']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 9+90=99, Resulting Numbers: [99]
99,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[87, 12], Operations: ['66-63=3', '9+3=12']
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 87+12=99, Resulting Numbers: [99]
99,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[87, 66, 7], Operations: ['63/9=7']
Exploring Operation: 66+7=73, Resulting Numbers: [87, 73]
Generated Node #0,1,0: 91:[87, 73] Operation: 66+7=73
Exploring Operation: 87-66=21, Resulting Numbers: [7, 21]
Generated Node #0,1,1: 91:[7, 21] Operation: 87-66=21
Moving to Node #0,1,1
Current State: 91:[7, 21], Operations: ['63/9=7', '87-66=21']
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[87, 73], Operations: ['63/9=7', '66+7=73']
Exploring Operation: 87+73=160, Resulting Numbers: [160]
160,91 unequal: No Solution
Exploring Operation: 87-73=14, Resulting Numbers: [14]
14,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
11,
39,
68,
13
] | 19 | [
"68-11=57",
"39/13=3",
"57/3=19"
] | Current State: 19:[11, 39, 68, 13], Operations: []
Exploring Operation: 68-11=57, Resulting Numbers: [39, 13, 57]
Generated Node #2: [39, 13, 57] from Operation: 68-11=57
Current State: 19:[39, 13, 57], Operations: ['68-11=57']
Exploring Operation: 39/13=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 39/13=3
Current State: 19:[57, 3], Operations: ['68-11=57', '39/13=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[11, 39, 68, 13], Operations: []
Exploring Operation: 68-39=29, Resulting Numbers: [11, 13, 29]
Generated Node #0,0: 19:[11, 13, 29] Operation: 68-39=29
Moving to Node #0,0
Current State: 19:[11, 13, 29], Operations: ['68-39=29']
Exploring Operation: 29-11=18, Resulting Numbers: [13, 18]
Generated Node #0,0,0: 19:[13, 18] Operation: 29-11=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[13, 18], Operations: ['68-39=29', '29-11=18']
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,19 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 |
[
18,
25,
1,
10
] | 70 | [
"25-18=7",
"1*10=10",
"7*10=70"
] | Current State: 70:[18, 25, 1, 10], Operations: []
Exploring Operation: 25-18=7, Resulting Numbers: [1, 10, 7]
Generated Node #2: [1, 10, 7] from Operation: 25-18=7
Current State: 70:[1, 10, 7], Operations: ['25-18=7']
Exploring Operation: 1*10=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 1*10=10
Current State: 70:[7, 10], Operations: ['25-18=7', '1*10=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[18, 25, 1, 10], Operations: []
Exploring Operation: 25+10=35, Resulting Numbers: [18, 1, 35]
Generated Node #0,0: 70:[18, 1, 35] Operation: 25+10=35
Exploring Operation: 25-18=7, Resulting Numbers: [1, 10, 7]
Generated Node #0,1: 70:[1, 10, 7] Operation: 25-18=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[1, 10, 7], Operations: ['25-18=7']
Exploring Operation: 1*10=10, Resulting Numbers: [7, 10]
Generated Node #0,1,0: 70:[7, 10] Operation: 1*10=10
Exploring Operation: 10/1=10, Resulting Numbers: [7, 10]
Generated Node #0,1,1: 70:[7, 10] Operation: 10/1=10
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 70:[7, 10], Operations: ['25-18=7', '1*10=10']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,70 unequal: No Solution
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[18, 25, 1, 10], Operations: []
Exploring Operation: 25-18=7, Resulting Numbers: [1, 10, 7]
Generated Node #0,1: 70:[1, 10, 7] Operation: 25-18=7
Moving to Node #0,1
Current State: 70:[1, 10, 7], Operations: ['25-18=7']
Exploring Operation: 1*10=10, Resulting Numbers: [7, 10]
Generated Node #0,1,0: 70:[7, 10] Operation: 1*10=10
Moving to Node #0,1,0
Current State: 70:[7, 10], Operations: ['25-18=7', '1*10=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
78,
17,
19,
14
] | 19 | [
"78+17=95",
"19-14=5",
"95/5=19"
] | Current State: 19:[78, 17, 19, 14], Operations: []
Exploring Operation: 78+17=95, Resulting Numbers: [19, 14, 95]
Generated Node #2: [19, 14, 95] from Operation: 78+17=95
Current State: 19:[19, 14, 95], Operations: ['78+17=95']
Exploring Operation: 19-14=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 19-14=5
Current State: 19:[95, 5], Operations: ['78+17=95', '19-14=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[78, 17, 19, 14], Operations: []
Exploring Operation: 17+14=31, Resulting Numbers: [78, 19, 31]
Generated Node #0,0: 19:[78, 19, 31] Operation: 17+14=31
Exploring Operation: 78-19=59, Resulting Numbers: [17, 14, 59]
Generated Node #0,1: 19:[17, 14, 59] Operation: 78-19=59
Exploring Operation: 78-14=64, Resulting Numbers: [17, 19, 64]
Generated Node #0,2: 19:[17, 19, 64] Operation: 78-14=64
Exploring Operation: 78-17=61, Resulting Numbers: [19, 14, 61]
Generated Node #0,3: 19:[19, 14, 61] Operation: 78-17=61
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[17, 14, 59], Operations: ['78-19=59']
Exploring Operation: 17+14=31, Resulting Numbers: [59, 31]
Generated Node #0,1,0: 19:[59, 31] Operation: 17+14=31
Exploring Operation: 59-17=42, Resulting Numbers: [14, 42]
Generated Node #0,1,1: 19:[14, 42] Operation: 59-17=42
Exploring Operation: 17-14=3, Resulting Numbers: [59, 3]
Generated Node #0,1,2: 19:[59, 3] Operation: 17-14=3
Exploring Operation: 59-14=45, Resulting Numbers: [17, 45]
Generated Node #0,1,3: 19:[17, 45] Operation: 59-14=45
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 19:[14, 42], Operations: ['78-19=59', '59-17=42']
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 14+42=56, Resulting Numbers: [56]
56,19 unequal: No Solution
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 14*42=588, Resulting Numbers: [588]
588,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 19:[17, 45], Operations: ['78-19=59', '59-14=45']
Exploring Operation: 17*45=765, Resulting Numbers: [765]
765,19 unequal: No Solution
Exploring Operation: 17+45=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[59, 31], Operations: ['78-19=59', '17+14=31']
Exploring Operation: 59*31=1829, Resulting Numbers: [1829]
1829,19 unequal: No Solution
Exploring Operation: 59-31=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 59+31=90, Resulting Numbers: [90]
90,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 19:[59, 3], Operations: ['78-19=59', '17-14=3']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,19 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[17, 19, 64], Operations: ['78-14=64']
Exploring Operation: 64-17=47, Resulting Numbers: [19, 47]
Generated Node #0,2,0: 19:[19, 47] Operation: 64-17=47
Exploring Operation: 19-17=2, Resulting Numbers: [64, 2]
Generated Node #0,2,1: 19:[64, 2] Operation: 19-17=2
Exploring Operation: 64-19=45, Resulting Numbers: [17, 45]
Generated Node #0,2,2: 19:[17, 45] Operation: 64-19=45
Exploring Operation: 17+19=36, Resulting Numbers: [64, 36]
Generated Node #0,2,3: 19:[64, 36] Operation: 17+19=36
Moving to Node #0,2,0
Current State: 19:[19, 47], Operations: ['78-14=64', '64-17=47']
Exploring Operation: 19*47=893, Resulting Numbers: [893]
893,19 unequal: No Solution
Exploring Operation: 19+47=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[17, 45], Operations: ['78-14=64', '64-19=45']
Exploring Operation: 17+45=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 17*45=765, Resulting Numbers: [765]
765,19 unequal: No Solution
Moving to Node #0,2,3
Current State: 19:[64, 36], Operations: ['78-14=64', '17+19=36']
Exploring Operation: 64+36=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 64*36=2304, Resulting Numbers: [2304]
2304,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[64, 2], Operations: ['78-14=64', '19-17=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Exploring Operation: 64*2=128, Resulting Numbers: [128]
128,19 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[19, 14, 61], Operations: ['78-17=61']
Exploring Operation: 61-19=42, Resulting Numbers: [14, 42]
Generated Node #0,3,0: 19:[14, 42] Operation: 61-19=42
Exploring Operation: 19+14=33, Resulting Numbers: [61, 33]
Generated Node #0,3,1: 19:[61, 33] Operation: 19+14=33
Exploring Operation: 19-14=5, Resulting Numbers: [61, 5]
Generated Node #0,3,2: 19:[61, 5] Operation: 19-14=5
Exploring Operation: 61-14=47, Resulting Numbers: [19, 47]
Generated Node #0,3,3: 19:[19, 47] Operation: 61-14=47
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 19:[14, 42], Operations: ['78-17=61', '61-19=42']
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 14*42=588, Resulting Numbers: [588]
588,19 unequal: No Solution
Exploring Operation: 14+42=56, Resulting Numbers: [56]
56,19 unequal: No Solution
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 19:[19, 47], Operations: ['78-17=61', '61-14=47']
Exploring Operation: 19+47=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 19*47=893, Resulting Numbers: [893]
893,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 19:[61, 33], Operations: ['78-17=61', '19+14=33']
Exploring Operation: 61*33=2013, Resulting Numbers: [2013]
2013,19 unequal: No Solution
Exploring Operation: 61-33=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 61+33=94, Resulting Numbers: [94]
94,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 19:[61, 5], Operations: ['78-17=61', '19-14=5']
Exploring Operation: 61*5=305, Resulting Numbers: [305]
305,19 unequal: No Solution
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[78, 19, 31], Operations: ['17+14=31']
Exploring Operation: 31-19=12, Resulting Numbers: [78, 12]
Generated Node #0,0,0: 19:[78, 12] Operation: 31-19=12
Exploring Operation: 78-19=59, Resulting Numbers: [31, 59]
Generated Node #0,0,1: 19:[31, 59] Operation: 78-19=59
Exploring Operation: 78-31=47, Resulting Numbers: [19, 47]
Generated Node #0,0,2: 19:[19, 47] Operation: 78-31=47
Exploring Operation: 78+19=97, Resulting Numbers: [31, 97]
Generated Node #0,0,3: 19:[31, 97] Operation: 78+19=97
Moving to Node #0,0,2
Current State: 19:[19, 47], Operations: ['17+14=31', '78-31=47']
Exploring Operation: 19*47=893, Resulting Numbers: [893]
893,19 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 19+47=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[31, 59], Operations: ['17+14=31', '78-19=59']
Exploring Operation: 59-31=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 31*59=1829, Resulting Numbers: [1829]
1829,19 unequal: No Solution
Exploring Operation: 31+59=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[78, 12], Operations: ['17+14=31', '31-19=12']
Exploring Operation: 78+12=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Exploring Operation: 78*12=936, Resulting Numbers: [936]
936,19 unequal: No Solution
Moving to Node #0,0,3
Current State: 19:[31, 97], Operations: ['17+14=31', '78+19=97']
Exploring Operation: 31+97=128, Resulting Numbers: [128]
128,19 unequal: No Solution
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Exploring Operation: 31*97=3007, Resulting Numbers: [3007]
3007,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
18,
4,
15,
83
] | 20 | [
"18-15=3",
"83-3=80",
"80/4=20"
] | Current State: 20:[18, 4, 15, 83], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [4, 83, 3]
Generated Node #2: [4, 83, 3] from Operation: 18-15=3
Current State: 20:[4, 83, 3], Operations: ['18-15=3']
Exploring Operation: 83-3=80, Resulting Numbers: [4, 80]
Generated Node #3: [4, 80] from Operation: 83-3=80
Current State: 20:[4, 80], Operations: ['18-15=3', '83-3=80']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[18, 4, 15, 83], Operations: []
Exploring Operation: 83-18=65, Resulting Numbers: [4, 15, 65]
Generated Node #0,0: 20:[4, 15, 65] Operation: 83-18=65
Exploring Operation: 83-15=68, Resulting Numbers: [18, 4, 68]
Generated Node #0,1: 20:[18, 4, 68] Operation: 83-15=68
Moving to Node #0,0
Current State: 20:[4, 15, 65], Operations: ['83-18=65']
Exploring Operation: 65-15=50, Resulting Numbers: [4, 50]
Generated Node #0,0,0: 20:[4, 50] Operation: 65-15=50
Exploring Operation: 4+15=19, Resulting Numbers: [65, 19]
Generated Node #0,0,1: 20:[65, 19] Operation: 4+15=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[4, 50], Operations: ['83-18=65', '65-15=50']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,20 unequal: No Solution
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[65, 19], Operations: ['83-18=65', '4+15=19']
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,20 unequal: No Solution
Exploring Operation: 65+19=84, Resulting Numbers: [84]
84,20 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: 20:[18, 4, 68], Operations: ['83-15=68']
Exploring Operation: 68-18=50, Resulting Numbers: [4, 50]
Generated Node #0,1,0: 20:[4, 50] Operation: 68-18=50
Exploring Operation: 68/4=17, Resulting Numbers: [18, 17]
Generated Node #0,1,1: 20:[18, 17] Operation: 68/4=17
Moving to Node #0,1,1
Current State: 20:[18, 17], Operations: ['83-15=68', '68/4=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,20 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[4, 50], Operations: ['83-15=68', '68-18=50']
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,20 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,20 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
13,
31,
60,
1
] | 17 | [
"13+31=44",
"60+1=61",
"61-44=17"
] | Current State: 17:[13, 31, 60, 1], Operations: []
Exploring Operation: 13+31=44, Resulting Numbers: [60, 1, 44]
Generated Node #2: [60, 1, 44] from Operation: 13+31=44
Current State: 17:[60, 1, 44], Operations: ['13+31=44']
Exploring Operation: 60+1=61, Resulting Numbers: [44, 61]
Generated Node #3: [44, 61] from Operation: 60+1=61
Current State: 17:[44, 61], Operations: ['13+31=44', '60+1=61']
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[13, 31, 60, 1], Operations: []
Exploring Operation: 60-31=29, Resulting Numbers: [13, 1, 29]
Generated Node #0,0: 17:[13, 1, 29] Operation: 60-31=29
Exploring Operation: 60-13=47, Resulting Numbers: [31, 1, 47]
Generated Node #0,1: 17:[31, 1, 47] Operation: 60-13=47
Exploring Operation: 31-13=18, Resulting Numbers: [60, 1, 18]
Generated Node #0,2: 17:[60, 1, 18] Operation: 31-13=18
Moving to Node #0,0
Current State: 17:[13, 1, 29], Operations: ['60-31=29']
Exploring Operation: 29-1=28, Resulting Numbers: [13, 28]
Generated Node #0,0,0: 17:[13, 28] Operation: 29-1=28
Exploring Operation: 13+1=14, Resulting Numbers: [29, 14]
Generated Node #0,0,1: 17:[29, 14] Operation: 13+1=14
Exploring Operation: 13*1=13, Resulting Numbers: [29, 13]
Generated Node #0,0,2: 17:[29, 13] Operation: 13*1=13
Moving to Node #0,1
Current State: 17:[31, 1, 47], Operations: ['60-13=47']
Exploring Operation: 47-1=46, Resulting Numbers: [31, 46]
Generated Node #0,1,0: 17:[31, 46] Operation: 47-1=46
Exploring Operation: 31-1=30, Resulting Numbers: [47, 30]
Generated Node #0,1,1: 17:[47, 30] Operation: 31-1=30
Exploring Operation: 47-31=16, Resulting Numbers: [1, 16]
Generated Node #0,1,2: 17:[1, 16] Operation: 47-31=16
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 17:[1, 16], Operations: ['60-13=47', '47-31=16']
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[13, 31, 60, 1], Operations: []
Exploring Operation: 60-13=47, Resulting Numbers: [31, 1, 47]
Generated Node #0,1: 17:[31, 1, 47] Operation: 60-13=47
Moving to Node #0,1
Current State: 17:[31, 1, 47], Operations: ['60-13=47']
Exploring Operation: 47-31=16, Resulting Numbers: [1, 16]
Generated Node #0,1,2: 17:[1, 16] Operation: 47-31=16
Moving to Node #0,1,2
Current State: 17:[1, 16], Operations: ['60-13=47', '47-31=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
68,
16,
38,
30
] | 76 | [
"68+16=84",
"38-30=8",
"84-8=76"
] | Current State: 76:[68, 16, 38, 30], Operations: []
Exploring Operation: 68+16=84, Resulting Numbers: [38, 30, 84]
Generated Node #2: [38, 30, 84] from Operation: 68+16=84
Current State: 76:[38, 30, 84], Operations: ['68+16=84']
Exploring Operation: 38-30=8, Resulting Numbers: [84, 8]
Generated Node #3: [84, 8] from Operation: 38-30=8
Current State: 76:[84, 8], Operations: ['68+16=84', '38-30=8']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[68, 16, 38, 30], Operations: []
Exploring Operation: 68-30=38, Resulting Numbers: [16, 38, 38]
Generated Node #0,0: 76:[16, 38, 38] Operation: 68-30=38
Exploring Operation: 30-16=14, Resulting Numbers: [68, 38, 14]
Generated Node #0,1: 76:[68, 38, 14] Operation: 30-16=14
Moving to Node #0,0
Current State: 76:[16, 38, 38], Operations: ['68-30=38']
Exploring Operation: 38-16=22, Resulting Numbers: [38, 22]
Generated Node #0,0,0: 76:[38, 22] Operation: 38-16=22
Exploring Operation: 38-16=22, Resulting Numbers: [38, 22]
Generated Node #0,0,1: 76:[38, 22] Operation: 38-16=22
Moving to Node #0,1
Current State: 76:[68, 38, 14], Operations: ['30-16=14']
Exploring Operation: 68-38=30, Resulting Numbers: [14, 30]
Generated Node #0,1,0: 76:[14, 30] Operation: 68-38=30
Exploring Operation: 68+14=82, Resulting Numbers: [38, 82]
Generated Node #0,1,1: 76:[38, 82] Operation: 68+14=82
Moving to Node #0,0,0
Current State: 76:[38, 22], Operations: ['68-30=38', '38-16=22']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[38, 22], Operations: ['68-30=38', '38-16=22']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[38, 82], Operations: ['30-16=14', '68+14=82']
Exploring Operation: 38+82=120, Resulting Numbers: [120]
120,76 unequal: No Solution
Exploring Operation: 82-38=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[14, 30], Operations: ['30-16=14', '68-38=30']
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,76 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
68,
20,
56,
72
] | 84 | [
"68-20=48",
"56*72=4032",
"4032/48=84"
] | Current State: 84:[68, 20, 56, 72], Operations: []
Exploring Operation: 68-20=48, Resulting Numbers: [56, 72, 48]
Generated Node #2: [56, 72, 48] from Operation: 68-20=48
Current State: 84:[56, 72, 48], Operations: ['68-20=48']
Exploring Operation: 56*72=4032, Resulting Numbers: [48, 4032]
Generated Node #3: [48, 4032] from Operation: 56*72=4032
Current State: 84:[48, 4032], Operations: ['68-20=48', '56*72=4032']
Exploring Operation: 4032/48=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[68, 20, 56, 72], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [20, 72, 12]
Generated Node #0,0: 84:[20, 72, 12] Operation: 68-56=12
Moving to Node #0,0
Current State: 84:[20, 72, 12], Operations: ['68-56=12']
Exploring Operation: 72+12=84, Resulting Numbers: [20, 84]
Generated Node #0,0,0: 84:[20, 84] Operation: 72+12=84
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[20, 84], Operations: ['68-56=12', '72+12=84']
Exploring Operation: 20+84=104, Resulting Numbers: [104]
104,84 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 |
[
91,
87,
7,
63
] | 66 | [
"91-87=4",
"7+63=70",
"70-4=66"
] | Current State: 66:[91, 87, 7, 63], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [7, 63, 4]
Generated Node #2: [7, 63, 4] from Operation: 91-87=4
Current State: 66:[7, 63, 4], Operations: ['91-87=4']
Exploring Operation: 7+63=70, Resulting Numbers: [4, 70]
Generated Node #3: [4, 70] from Operation: 7+63=70
Current State: 66:[4, 70], Operations: ['91-87=4', '7+63=70']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[91, 87, 7, 63], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [7, 63, 4]
Generated Node #0,0: 66:[7, 63, 4] Operation: 91-87=4
Exploring Operation: 91-63=28, Resulting Numbers: [87, 7, 28]
Generated Node #0,1: 66:[87, 7, 28] Operation: 91-63=28
Exploring Operation: 87-63=24, Resulting Numbers: [91, 7, 24]
Generated Node #0,2: 66:[91, 7, 24] Operation: 87-63=24
Exploring Operation: 91/7=13, Resulting Numbers: [87, 63, 13]
Generated Node #0,3: 66:[87, 63, 13] Operation: 91/7=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[7, 63, 4], Operations: ['91-87=4']
Exploring Operation: 7+4=11, Resulting Numbers: [63, 11]
Generated Node #0,0,0: 66:[63, 11] Operation: 7+4=11
Exploring Operation: 63+4=67, Resulting Numbers: [7, 67]
Generated Node #0,0,1: 66:[7, 67] Operation: 63+4=67
Exploring Operation: 63/7=9, Resulting Numbers: [4, 9]
Generated Node #0,0,2: 66:[4, 9] Operation: 63/7=9
Exploring Operation: 7-4=3, Resulting Numbers: [63, 3]
Generated Node #0,0,3: 66:[63, 3] Operation: 7-4=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[7, 67], Operations: ['91-87=4', '63+4=67']
Exploring Operation: 7+67=74, Resulting Numbers: [74]
74,66 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,66 unequal: No Solution
Exploring Operation: 7*67=469, Resulting Numbers: [469]
469,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[63, 11], Operations: ['91-87=4', '7+4=11']
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,66 unequal: No Solution
Exploring Operation: 63*11=693, Resulting Numbers: [693]
693,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 66:[4, 9], Operations: ['91-87=4', '63/7=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,66 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 66:[63, 3], Operations: ['91-87=4', '7-4=3']
Exploring Operation: 63*3=189, Resulting Numbers: [189]
189,66 unequal: No Solution
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,66 unequal: No Solution
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[91, 87, 7, 63], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [7, 63, 4]
Generated Node #0,0: 66:[7, 63, 4] Operation: 91-87=4
Moving to Node #0,0
Current State: 66:[7, 63, 4], Operations: ['91-87=4']
Exploring Operation: 7-4=3, Resulting Numbers: [63, 3]
Generated Node #0,0,3: 66:[63, 3] Operation: 7-4=3
Moving to Node #0,0,3
Current State: 66:[63, 3], Operations: ['91-87=4', '7-4=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
42,
4,
6,
8
] | 32 | [
"42+4=46",
"6+8=14",
"46-14=32"
] | Current State: 32:[42, 4, 6, 8], Operations: []
Exploring Operation: 42+4=46, Resulting Numbers: [6, 8, 46]
Generated Node #2: [6, 8, 46] from Operation: 42+4=46
Current State: 32:[6, 8, 46], Operations: ['42+4=46']
Exploring Operation: 6+8=14, Resulting Numbers: [46, 14]
Generated Node #3: [46, 14] from Operation: 6+8=14
Current State: 32:[46, 14], Operations: ['42+4=46', '6+8=14']
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[42, 4, 6, 8], Operations: []
Exploring Operation: 42/6=7, Resulting Numbers: [4, 8, 7]
Generated Node #0,0: 32:[4, 8, 7] Operation: 42/6=7
Exploring Operation: 42-8=34, Resulting Numbers: [4, 6, 34]
Generated Node #0,1: 32:[4, 6, 34] Operation: 42-8=34
Exploring Operation: 42-6=36, Resulting Numbers: [4, 8, 36]
Generated Node #0,2: 32:[4, 8, 36] Operation: 42-6=36
Moving to Node #0,0
Current State: 32:[4, 8, 7], Operations: ['42/6=7']
Exploring Operation: 4*8=32, Resulting Numbers: [7, 32]
Generated Node #0,0,0: 32:[7, 32] Operation: 4*8=32
Exploring Operation: 8/4=2, Resulting Numbers: [7, 2]
Generated Node #0,0,1: 32:[7, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [7, 4]
Generated Node #0,0,2: 32:[7, 4] Operation: 8-4=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[7, 32], Operations: ['42/6=7', '4*8=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,32 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,32 unequal: No Solution
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[7, 2], Operations: ['42/6=7', '8/4=2']
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,32 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 32:[7, 4], Operations: ['42/6=7', '8-4=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,32 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,32 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: 32:[4, 6, 34], Operations: ['42-8=34']
Exploring Operation: 6-4=2, Resulting Numbers: [34, 2]
Generated Node #0,1,0: 32:[34, 2] Operation: 6-4=2
Exploring Operation: 4+6=10, Resulting Numbers: [34, 10]
Generated Node #0,1,1: 32:[34, 10] Operation: 4+6=10
Exploring Operation: 34-4=30, Resulting Numbers: [6, 30]
Generated Node #0,1,2: 32:[6, 30] Operation: 34-4=30
Moving to Node #0,2
Current State: 32:[4, 8, 36], Operations: ['42-6=36']
Exploring Operation: 36-4=32, Resulting Numbers: [8, 32]
Generated Node #0,2,0: 32:[8, 32] Operation: 36-4=32
Exploring Operation: 4*8=32, Resulting Numbers: [36, 32]
Generated Node #0,2,1: 32:[36, 32] Operation: 4*8=32
Exploring Operation: 36/4=9, Resulting Numbers: [8, 9]
Generated Node #0,2,2: 32:[8, 9] Operation: 36/4=9
Moving to Node #0,2,0
Current State: 32:[8, 32], Operations: ['42-6=36', '36-4=32']
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Moving to Node #0,2,2
Current State: 32:[8, 9], Operations: ['42-6=36', '36/4=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,32 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,32 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[34, 2], Operations: ['42-8=34', '6-4=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[42, 4, 6, 8], Operations: []
Exploring Operation: 42-8=34, Resulting Numbers: [4, 6, 34]
Generated Node #0,1: 32:[4, 6, 34] Operation: 42-8=34
Moving to Node #0,1
Current State: 32:[4, 6, 34], Operations: ['42-8=34']
Exploring Operation: 6-4=2, Resulting Numbers: [34, 2]
Generated Node #0,1,0: 32:[34, 2] Operation: 6-4=2
Moving to Node #0,1,0
Current State: 32:[34, 2], Operations: ['42-8=34', '6-4=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.972222 | hs_3 | sum_heuristic |
[
66,
44,
12,
58
] | 77 | [
"58-44=14",
"66*14=924",
"924/12=77"
] | Current State: 77:[66, 44, 12, 58], Operations: []
Exploring Operation: 58-44=14, Resulting Numbers: [66, 12, 14]
Generated Node #2: [66, 12, 14] from Operation: 58-44=14
Current State: 77:[66, 12, 14], Operations: ['58-44=14']
Exploring Operation: 66*14=924, Resulting Numbers: [12, 924]
Generated Node #3: [12, 924] from Operation: 66*14=924
Current State: 77:[12, 924], Operations: ['58-44=14', '66*14=924']
Exploring Operation: 924/12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[66, 44, 12, 58], Operations: []
Exploring Operation: 58-44=14, Resulting Numbers: [66, 12, 14]
Generated Node #0,0: 77:[66, 12, 14] Operation: 58-44=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[66, 12, 14], Operations: ['58-44=14']
Exploring Operation: 66+12=78, Resulting Numbers: [14, 78]
Generated Node #0,0,0: 77:[14, 78] Operation: 66+12=78
Moving to Node #0,0,0
Current State: 77:[14, 78], Operations: ['58-44=14', '66+12=78']
Exploring Operation: 78-14=64, Resulting Numbers: [64]
64,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
39,
23,
41,
77
] | 69 | [
"39+41=80",
"80-77=3",
"23*3=69"
] | Current State: 69:[39, 23, 41, 77], Operations: []
Exploring Operation: 39+41=80, Resulting Numbers: [23, 77, 80]
Generated Node #2: [23, 77, 80] from Operation: 39+41=80
Current State: 69:[23, 77, 80], Operations: ['39+41=80']
Exploring Operation: 80-77=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 80-77=3
Current State: 69:[23, 3], Operations: ['39+41=80', '80-77=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[39, 23, 41, 77], Operations: []
Exploring Operation: 23+41=64, Resulting Numbers: [39, 77, 64]
Generated Node #0,0: 69:[39, 77, 64] Operation: 23+41=64
Exploring Operation: 77-41=36, Resulting Numbers: [39, 23, 36]
Generated Node #0,1: 69:[39, 23, 36] Operation: 77-41=36
Exploring Operation: 39+41=80, Resulting Numbers: [23, 77, 80]
Generated Node #0,2: 69:[23, 77, 80] Operation: 39+41=80
Exploring Operation: 41-39=2, Resulting Numbers: [23, 77, 2]
Generated Node #0,3: 69:[23, 77, 2] Operation: 41-39=2
Exploring Operation: 41-23=18, Resulting Numbers: [39, 77, 18]
Generated Node #0,4: 69:[39, 77, 18] Operation: 41-23=18
Start Sub Search at level 1: Moving to Node #0,3
Current State: 69:[23, 77, 2], Operations: ['41-39=2']
Exploring Operation: 23+2=25, Resulting Numbers: [77, 25]
Generated Node #0,3,0: 69:[77, 25] Operation: 23+2=25
Exploring Operation: 77-23=54, Resulting Numbers: [2, 54]
Generated Node #0,3,1: 69:[2, 54] Operation: 77-23=54
Exploring Operation: 77-2=75, Resulting Numbers: [23, 75]
Generated Node #0,3,2: 69:[23, 75] Operation: 77-2=75
Exploring Operation: 23-2=21, Resulting Numbers: [77, 21]
Generated Node #0,3,3: 69:[77, 21] Operation: 23-2=21
Exploring Operation: 77+2=79, Resulting Numbers: [23, 79]
Generated Node #0,3,4: 69:[23, 79] Operation: 77+2=79
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 69:[23, 75], Operations: ['41-39=2', '77-2=75']
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,69 unequal: No Solution
Exploring Operation: 23*75=1725, Resulting Numbers: [1725]
1725,69 unequal: No Solution
Exploring Operation: 23+75=98, Resulting Numbers: [98]
98,69 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 #0,3,0
Current State: 69:[77, 25], Operations: ['41-39=2', '23+2=25']
Exploring Operation: 77-25=52, Resulting Numbers: [52]
52,69 unequal: No Solution
Exploring Operation: 77+25=102, Resulting Numbers: [102]
102,69 unequal: No Solution
Exploring Operation: 77*25=1925, Resulting Numbers: [1925]
1925,69 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:[77, 21], Operations: ['41-39=2', '23-2=21']
Exploring Operation: 77+21=98, Resulting Numbers: [98]
98,69 unequal: No Solution
Exploring Operation: 77*21=1617, Resulting Numbers: [1617]
1617,69 unequal: No Solution
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,69 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:[23, 79], Operations: ['41-39=2', '77+2=79']
Exploring Operation: 79-23=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Exploring Operation: 23+79=102, Resulting Numbers: [102]
102,69 unequal: No Solution
Exploring Operation: 23*79=1817, Resulting Numbers: [1817]
1817,69 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:[2, 54], Operations: ['41-39=2', '77-23=54']
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,69 unequal: No Solution
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,69 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,69 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 #0,2
Current State: 69:[23, 77, 80], Operations: ['39+41=80']
Exploring Operation: 80-77=3, Resulting Numbers: [23, 3]
Generated Node #0,2,0: 69:[23, 3] Operation: 80-77=3
Exploring Operation: 77-23=54, Resulting Numbers: [80, 54]
Generated Node #0,2,1: 69:[80, 54] Operation: 77-23=54
Exploring Operation: 80-23=57, Resulting Numbers: [77, 57]
Generated Node #0,2,2: 69:[77, 57] Operation: 80-23=57
Exploring Operation: 23+77=100, Resulting Numbers: [80, 100]
Generated Node #0,2,3: 69:[80, 100] Operation: 23+77=100
Exploring Operation: 23+80=103, Resulting Numbers: [77, 103]
Generated Node #0,2,4: 69:[77, 103] Operation: 23+80=103
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 69:[23, 3], Operations: ['39+41=80', '80-77=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[39, 23, 41, 77], Operations: []
Exploring Operation: 39+41=80, Resulting Numbers: [23, 77, 80]
Generated Node #0,2: 69:[23, 77, 80] Operation: 39+41=80
Moving to Node #0,2
Current State: 69:[23, 77, 80], Operations: ['39+41=80']
Exploring Operation: 80-77=3, Resulting Numbers: [23, 3]
Generated Node #0,2,0: 69:[23, 3] Operation: 80-77=3
Moving to Node #0,2,0
Current State: 69:[23, 3], Operations: ['39+41=80', '80-77=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_5 | sum_heuristic |
[
10,
18,
31,
73
] | 76 | [
"10+18=28",
"31+73=104",
"104-28=76"
] | Current State: 76:[10, 18, 31, 73], Operations: []
Exploring Operation: 10+18=28, Resulting Numbers: [31, 73, 28]
Generated Node #2: [31, 73, 28] from Operation: 10+18=28
Current State: 76:[31, 73, 28], Operations: ['10+18=28']
Exploring Operation: 31+73=104, Resulting Numbers: [28, 104]
Generated Node #3: [28, 104] from Operation: 31+73=104
Current State: 76:[28, 104], Operations: ['10+18=28', '31+73=104']
Exploring Operation: 104-28=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[10, 18, 31, 73], Operations: []
Exploring Operation: 10+31=41, Resulting Numbers: [18, 73, 41]
Generated Node #0,0: 76:[18, 73, 41] Operation: 10+31=41
Exploring Operation: 31-10=21, Resulting Numbers: [18, 73, 21]
Generated Node #0,1: 76:[18, 73, 21] Operation: 31-10=21
Moving to Node #0,1
Current State: 76:[18, 73, 21], Operations: ['31-10=21']
Exploring Operation: 18+21=39, Resulting Numbers: [73, 39]
Generated Node #0,1,0: 76:[73, 39] Operation: 18+21=39
Exploring Operation: 21-18=3, Resulting Numbers: [73, 3]
Generated Node #0,1,1: 76:[73, 3] Operation: 21-18=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[73, 39], Operations: ['31-10=21', '18+21=39']
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 73+39=112, Resulting Numbers: [112]
112,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 76:[73, 3], Operations: ['31-10=21', '21-18=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[10, 18, 31, 73], Operations: []
Exploring Operation: 31-10=21, Resulting Numbers: [18, 73, 21]
Generated Node #0,1: 76:[18, 73, 21] Operation: 31-10=21
Moving to Node #0,1
Current State: 76:[18, 73, 21], Operations: ['31-10=21']
Exploring Operation: 21-18=3, Resulting Numbers: [73, 3]
Generated Node #0,1,1: 76:[73, 3] Operation: 21-18=3
Moving to Node #0,1,1
Current State: 76:[73, 3], Operations: ['31-10=21', '21-18=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
35,
32,
40,
43
] | 71 | [
"35*32=1120",
"1120/40=28",
"43+28=71"
] | Current State: 71:[35, 32, 40, 43], Operations: []
Exploring Operation: 35*32=1120, Resulting Numbers: [40, 43, 1120]
Generated Node #2: [40, 43, 1120] from Operation: 35*32=1120
Current State: 71:[40, 43, 1120], Operations: ['35*32=1120']
Exploring Operation: 1120/40=28, Resulting Numbers: [43, 28]
Generated Node #3: [43, 28] from Operation: 1120/40=28
Current State: 71:[43, 28], Operations: ['35*32=1120', '1120/40=28']
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[35, 32, 40, 43], Operations: []
Exploring Operation: 35+32=67, Resulting Numbers: [40, 43, 67]
Generated Node #0,0: 71:[40, 43, 67] Operation: 35+32=67
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[40, 43, 67], Operations: ['35+32=67']
Exploring Operation: 40+43=83, Resulting Numbers: [67, 83]
Generated Node #0,0,0: 71:[67, 83] Operation: 40+43=83
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[67, 83], Operations: ['35+32=67', '40+43=83']
Exploring Operation: 83-67=16, Resulting Numbers: [16]
16,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
32,
89,
80,
68
] | 81 | [
"80*68=5440",
"5440/32=170",
"170-89=81"
] | Current State: 81:[32, 89, 80, 68], Operations: []
Exploring Operation: 80*68=5440, Resulting Numbers: [32, 89, 5440]
Generated Node #2: [32, 89, 5440] from Operation: 80*68=5440
Current State: 81:[32, 89, 5440], Operations: ['80*68=5440']
Exploring Operation: 5440/32=170, Resulting Numbers: [89, 170]
Generated Node #3: [89, 170] from Operation: 5440/32=170
Current State: 81:[89, 170], Operations: ['80*68=5440', '5440/32=170']
Exploring Operation: 170-89=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[32, 89, 80, 68], Operations: []
Exploring Operation: 89-80=9, Resulting Numbers: [32, 68, 9]
Generated Node #0,0: 81:[32, 68, 9] Operation: 89-80=9
Exploring Operation: 32+68=100, Resulting Numbers: [89, 80, 100]
Generated Node #0,1: 81:[89, 80, 100] Operation: 32+68=100
Exploring Operation: 68-32=36, Resulting Numbers: [89, 80, 36]
Generated Node #0,2: 81:[89, 80, 36] Operation: 68-32=36
Exploring Operation: 80-68=12, Resulting Numbers: [32, 89, 12]
Generated Node #0,3: 81:[32, 89, 12] Operation: 80-68=12
Exploring Operation: 89-68=21, Resulting Numbers: [32, 80, 21]
Generated Node #0,4: 81:[32, 80, 21] Operation: 89-68=21
Moving to Node #0,4
Current State: 81:[32, 80, 21], Operations: ['89-68=21']
Exploring Operation: 80-21=59, Resulting Numbers: [32, 59]
Generated Node #0,4,0: 81:[32, 59] Operation: 80-21=59
Exploring Operation: 32+21=53, Resulting Numbers: [80, 53]
Generated Node #0,4,1: 81:[80, 53] Operation: 32+21=53
Exploring Operation: 32-21=11, Resulting Numbers: [80, 11]
Generated Node #0,4,2: 81:[80, 11] Operation: 32-21=11
Exploring Operation: 80-32=48, Resulting Numbers: [21, 48]
Generated Node #0,4,3: 81:[21, 48] Operation: 80-32=48
Exploring Operation: 80+21=101, Resulting Numbers: [32, 101]
Generated Node #0,4,4: 81:[32, 101] Operation: 80+21=101
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 81:[80, 11], Operations: ['89-68=21', '32-21=11']
Exploring Operation: 80*11=880, Resulting Numbers: [880]
880,81 unequal: No Solution
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,81 unequal: No Solution
Exploring Operation: 80+11=91, Resulting Numbers: [91]
91,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 81:[32, 101], Operations: ['89-68=21', '80+21=101']
Exploring Operation: 101-32=69, Resulting Numbers: [69]
69,81 unequal: No Solution
Exploring Operation: 32+101=133, Resulting Numbers: [133]
133,81 unequal: No Solution
Exploring Operation: 32*101=3232, Resulting Numbers: [3232]
3232,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 81:[32, 59], Operations: ['89-68=21', '80-21=59']
Exploring Operation: 32*59=1888, Resulting Numbers: [1888]
1888,81 unequal: No Solution
Exploring Operation: 32+59=91, Resulting Numbers: [91]
91,81 unequal: No Solution
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 81:[80, 53], Operations: ['89-68=21', '32+21=53']
Exploring Operation: 80+53=133, Resulting Numbers: [133]
133,81 unequal: No Solution
Exploring Operation: 80-53=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 80*53=4240, Resulting Numbers: [4240]
4240,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 81:[21, 48], Operations: ['89-68=21', '80-32=48']
Exploring Operation: 21+48=69, Resulting Numbers: [69]
69,81 unequal: No Solution
Exploring Operation: 21*48=1008, Resulting Numbers: [1008]
1008,81 unequal: No Solution
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,81 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: 81:[32, 89, 12], Operations: ['80-68=12']
Exploring Operation: 89-12=77, Resulting Numbers: [32, 77]
Generated Node #0,3,0: 81:[32, 77] Operation: 89-12=77
Exploring Operation: 89-32=57, Resulting Numbers: [12, 57]
Generated Node #0,3,1: 81:[12, 57] Operation: 89-32=57
Exploring Operation: 89+12=101, Resulting Numbers: [32, 101]
Generated Node #0,3,2: 81:[32, 101] Operation: 89+12=101
Exploring Operation: 32-12=20, Resulting Numbers: [89, 20]
Generated Node #0,3,3: 81:[89, 20] Operation: 32-12=20
Exploring Operation: 32+12=44, Resulting Numbers: [89, 44]
Generated Node #0,3,4: 81:[89, 44] Operation: 32+12=44
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 81:[32, 77], Operations: ['80-68=12', '89-12=77']
Exploring Operation: 32*77=2464, Resulting Numbers: [2464]
2464,81 unequal: No Solution
Exploring Operation: 77-32=45, Resulting Numbers: [45]
45,81 unequal: No Solution
Exploring Operation: 32+77=109, Resulting Numbers: [109]
109,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 81:[89, 20], Operations: ['80-68=12', '32-12=20']
Exploring Operation: 89*20=1780, Resulting Numbers: [1780]
1780,81 unequal: No Solution
Exploring Operation: 89+20=109, Resulting Numbers: [109]
109,81 unequal: No Solution
Exploring Operation: 89-20=69, Resulting Numbers: [69]
69,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 81:[32, 101], Operations: ['80-68=12', '89+12=101']
Exploring Operation: 101-32=69, Resulting Numbers: [69]
69,81 unequal: No Solution
Exploring Operation: 32*101=3232, Resulting Numbers: [3232]
3232,81 unequal: No Solution
Exploring Operation: 32+101=133, Resulting Numbers: [133]
133,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 81:[89, 44], Operations: ['80-68=12', '32+12=44']
Exploring Operation: 89+44=133, Resulting Numbers: [133]
133,81 unequal: No Solution
Exploring Operation: 89*44=3916, Resulting Numbers: [3916]
3916,81 unequal: No Solution
Exploring Operation: 89-44=45, Resulting Numbers: [45]
45,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 81:[12, 57], Operations: ['80-68=12', '89-32=57']
Exploring Operation: 12+57=69, Resulting Numbers: [69]
69,81 unequal: No Solution
Exploring Operation: 12*57=684, Resulting Numbers: [684]
684,81 unequal: No Solution
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,81 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: 81:[32, 68, 9], Operations: ['89-80=9']
Exploring Operation: 68+9=77, Resulting Numbers: [32, 77]
Generated Node #0,0,0: 81:[32, 77] Operation: 68+9=77
Exploring Operation: 32+68=100, Resulting Numbers: [9, 100]
Generated Node #0,0,1: 81:[9, 100] Operation: 32+68=100
Exploring Operation: 68-32=36, Resulting Numbers: [9, 36]
Generated Node #0,0,2: 81:[9, 36] Operation: 68-32=36
Exploring Operation: 32-9=23, Resulting Numbers: [68, 23]
Generated Node #0,0,3: 81:[68, 23] Operation: 32-9=23
Exploring Operation: 32+9=41, Resulting Numbers: [68, 41]
Generated Node #0,0,4: 81:[68, 41] Operation: 32+9=41
Moving to Node #0,2
Current State: 81:[89, 80, 36], Operations: ['68-32=36']
Exploring Operation: 89+36=125, Resulting Numbers: [80, 125]
Generated Node #0,2,0: 81:[80, 125] Operation: 89+36=125
Exploring Operation: 80+36=116, Resulting Numbers: [89, 116]
Generated Node #0,2,1: 81:[89, 116] Operation: 80+36=116
Exploring Operation: 89-36=53, Resulting Numbers: [80, 53]
Generated Node #0,2,2: 81:[80, 53] Operation: 89-36=53
Exploring Operation: 89-80=9, Resulting Numbers: [36, 9]
Generated Node #0,2,3: 81:[36, 9] Operation: 89-80=9
Exploring Operation: 80-36=44, Resulting Numbers: [89, 44]
Generated Node #0,2,4: 81:[89, 44] Operation: 80-36=44
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 81:[36, 9], Operations: ['68-32=36', '89-80=9']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Exploring Operation: 36*9=324, Resulting Numbers: [324]
324,81 unequal: No Solution
Exploring Operation: 36+9=45, Resulting Numbers: [45]
45,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 81:[89, 44], Operations: ['68-32=36', '80-36=44']
Exploring Operation: 89-44=45, Resulting Numbers: [45]
45,81 unequal: No Solution
Exploring Operation: 89*44=3916, Resulting Numbers: [3916]
3916,81 unequal: No Solution
Exploring Operation: 89+44=133, Resulting Numbers: [133]
133,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 81:[80, 53], Operations: ['68-32=36', '89-36=53']
Exploring Operation: 80*53=4240, Resulting Numbers: [4240]
4240,81 unequal: No Solution
Exploring Operation: 80+53=133, Resulting Numbers: [133]
133,81 unequal: No Solution
Exploring Operation: 80-53=27, Resulting Numbers: [27]
27,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 81:[89, 116], Operations: ['68-32=36', '80+36=116']
Exploring Operation: 89*116=10324, Resulting Numbers: [10324]
10324,81 unequal: No Solution
Exploring Operation: 116-89=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 89+116=205, Resulting Numbers: [205]
205,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 81:[80, 125], Operations: ['68-32=36', '89+36=125']
Exploring Operation: 80*125=10000, Resulting Numbers: [10000]
10000,81 unequal: No Solution
Exploring Operation: 80+125=205, Resulting Numbers: [205]
205,81 unequal: No Solution
Exploring Operation: 125-80=45, Resulting Numbers: [45]
45,81 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: 81:[89, 80, 100], Operations: ['32+68=100']
Exploring Operation: 100-89=11, Resulting Numbers: [80, 11]
Generated Node #0,1,0: 81:[80, 11] Operation: 100-89=11
Exploring Operation: 89-80=9, Resulting Numbers: [100, 9]
Generated Node #0,1,1: 81:[100, 9] Operation: 89-80=9
Exploring Operation: 100-80=20, Resulting Numbers: [89, 20]
Generated Node #0,1,2: 81:[89, 20] Operation: 100-80=20
Exploring Operation: 89+80=169, Resulting Numbers: [100, 169]
Generated Node #0,1,3: 81:[100, 169] Operation: 89+80=169
Exploring Operation: 80+100=180, Resulting Numbers: [89, 180]
Generated Node #0,1,4: 81:[89, 180] Operation: 80+100=180
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[80, 11], Operations: ['32+68=100', '100-89=11']
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,81 unequal: No Solution
Exploring Operation: 80+11=91, Resulting Numbers: [91]
91,81 unequal: No Solution
Exploring Operation: 80*11=880, Resulting Numbers: [880]
880,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 81:[89, 20], Operations: ['32+68=100', '100-80=20']
Exploring Operation: 89*20=1780, Resulting Numbers: [1780]
1780,81 unequal: No Solution
Exploring Operation: 89+20=109, Resulting Numbers: [109]
109,81 unequal: No Solution
Exploring Operation: 89-20=69, Resulting Numbers: [69]
69,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[100, 9], Operations: ['32+68=100', '89-80=9']
Exploring Operation: 100-9=91, Resulting Numbers: [91]
91,81 unequal: No Solution
Exploring Operation: 100*9=900, Resulting Numbers: [900]
900,81 unequal: No Solution
Exploring Operation: 100+9=109, Resulting Numbers: [109]
109,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 81:[100, 169], Operations: ['32+68=100', '89+80=169']
Exploring Operation: 169-100=69, Resulting Numbers: [69]
69,81 unequal: No Solution
Exploring Operation: 100*169=16900, Resulting Numbers: [16900]
16900,81 unequal: No Solution
Exploring Operation: 100+169=269, Resulting Numbers: [269]
269,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 81:[89, 180], Operations: ['32+68=100', '80+100=180']
Exploring Operation: 180-89=91, Resulting Numbers: [91]
91,81 unequal: No Solution
Exploring Operation: 89*180=16020, Resulting Numbers: [16020]
16020,81 unequal: No Solution
Exploring Operation: 89+180=269, Resulting Numbers: [269]
269,81 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: 81:[32, 77], Operations: ['89-80=9', '68+9=77']
Exploring Operation: 32+77=109, Resulting Numbers: [109]
109,81 unequal: No Solution
Exploring Operation: 77-32=45, Resulting Numbers: [45]
45,81 unequal: No Solution
Exploring Operation: 32*77=2464, Resulting Numbers: [2464]
2464,81 unequal: No Solution
Moving to Node #0,0,2
Current State: 81:[9, 36], Operations: ['89-80=9', '68-32=36']
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,81 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Exploring Operation: 9*36=324, Resulting Numbers: [324]
324,81 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Moving to Node #0,0,3
Current State: 81:[68, 23], Operations: ['89-80=9', '32-9=23']
Exploring Operation: 68+23=91, Resulting Numbers: [91]
91,81 unequal: No Solution
Exploring Operation: 68*23=1564, Resulting Numbers: [1564]
1564,81 unequal: No Solution
Exploring Operation: 68-23=45, Resulting Numbers: [45]
45,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[9, 100], Operations: ['89-80=9', '32+68=100']
Exploring Operation: 9+100=109, Resulting Numbers: [109]
109,81 unequal: No Solution
Exploring Operation: 9*100=900, Resulting Numbers: [900]
900,81 unequal: No Solution
Exploring Operation: 100-9=91, Resulting Numbers: [91]
91,81 unequal: No Solution
Moving to Node #0,0,4
Current State: 81:[68, 41], Operations: ['89-80=9', '32+9=41']
Exploring Operation: 68+41=109, Resulting Numbers: [109]
109,81 unequal: No Solution
Exploring Operation: 68*41=2788, Resulting Numbers: [2788]
2788,81 unequal: No Solution
Exploring Operation: 68-41=27, Resulting Numbers: [27]
27,81 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
92,
5,
13,
22
] | 99 | [
"13+22=35",
"35/5=7",
"92+7=99"
] | Current State: 99:[92, 5, 13, 22], Operations: []
Exploring Operation: 13+22=35, Resulting Numbers: [92, 5, 35]
Generated Node #2: [92, 5, 35] from Operation: 13+22=35
Current State: 99:[92, 5, 35], Operations: ['13+22=35']
Exploring Operation: 35/5=7, Resulting Numbers: [92, 7]
Generated Node #3: [92, 7] from Operation: 35/5=7
Current State: 99:[92, 7], Operations: ['13+22=35', '35/5=7']
Exploring Operation: 92+7=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[92, 5, 13, 22], Operations: []
Exploring Operation: 5+22=27, Resulting Numbers: [92, 13, 27]
Generated Node #0,0: 99:[92, 13, 27] Operation: 5+22=27
Exploring Operation: 22-13=9, Resulting Numbers: [92, 5, 9]
Generated Node #0,1: 99:[92, 5, 9] Operation: 22-13=9
Exploring Operation: 92+5=97, Resulting Numbers: [13, 22, 97]
Generated Node #0,2: 99:[13, 22, 97] Operation: 92+5=97
Exploring Operation: 13+22=35, Resulting Numbers: [92, 5, 35]
Generated Node #0,3: 99:[92, 5, 35] Operation: 13+22=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[92, 5, 9], Operations: ['22-13=9']
Exploring Operation: 92+9=101, Resulting Numbers: [5, 101]
Generated Node #0,1,0: 99:[5, 101] Operation: 92+9=101
Exploring Operation: 92+5=97, Resulting Numbers: [9, 97]
Generated Node #0,1,1: 99:[9, 97] Operation: 92+5=97
Exploring Operation: 5+9=14, Resulting Numbers: [92, 14]
Generated Node #0,1,2: 99:[92, 14] Operation: 5+9=14
Exploring Operation: 9-5=4, Resulting Numbers: [92, 4]
Generated Node #0,1,3: 99:[92, 4] Operation: 9-5=4
Moving to Node #0,1,1
Current State: 99:[9, 97], Operations: ['22-13=9', '92+5=97']
Exploring Operation: 97-9=88, Resulting Numbers: [88]
88,99 unequal: No Solution
Exploring Operation: 9+97=106, Resulting Numbers: [106]
106,99 unequal: No Solution
Exploring Operation: 9*97=873, Resulting Numbers: [873]
873,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[5, 101], Operations: ['22-13=9', '92+9=101']
Exploring Operation: 101-5=96, Resulting Numbers: [96]
96,99 unequal: No Solution
Exploring Operation: 5*101=505, Resulting Numbers: [505]
505,99 unequal: No Solution
Exploring Operation: 5+101=106, Resulting Numbers: [106]
106,99 unequal: No Solution
Moving to Node #0,1,3
Current State: 99:[92, 4], Operations: ['22-13=9', '9-5=4']
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,99 unequal: No Solution
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,99 unequal: No Solution
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,99 unequal: No Solution
Exploring Operation: 92*4=368, Resulting Numbers: [368]
368,99 unequal: No Solution
Moving to Node #0,1,2
Current State: 99:[92, 14], Operations: ['22-13=9', '5+9=14']
Exploring Operation: 92*14=1288, Resulting Numbers: [1288]
1288,99 unequal: No Solution
Exploring Operation: 92+14=106, Resulting Numbers: [106]
106,99 unequal: No Solution
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 99:[92, 5, 35], Operations: ['13+22=35']
Exploring Operation: 35/5=7, Resulting Numbers: [92, 7]
Generated Node #0,3,0: 99:[92, 7] Operation: 35/5=7
Exploring Operation: 92+5=97, Resulting Numbers: [35, 97]
Generated Node #0,3,1: 99:[35, 97] Operation: 92+5=97
Exploring Operation: 92-5=87, Resulting Numbers: [35, 87]
Generated Node #0,3,2: 99:[35, 87] Operation: 92-5=87
Exploring Operation: 35-5=30, Resulting Numbers: [92, 30]
Generated Node #0,3,3: 99:[92, 30] Operation: 35-5=30
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 99:[35, 97], Operations: ['13+22=35', '92+5=97']
Exploring Operation: 97-35=62, Resulting Numbers: [62]
62,99 unequal: No Solution
Exploring Operation: 35*97=3395, Resulting Numbers: [3395]
3395,99 unequal: No Solution
Exploring Operation: 35+97=132, Resulting Numbers: [132]
132,99 unequal: No Solution
No 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: 99:[92, 7], Operations: ['13+22=35', '35/5=7']
Exploring Operation: 92*7=644, Resulting Numbers: [644]
644,99 unequal: No Solution
Exploring Operation: 92+7=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[92, 5, 13, 22], Operations: []
Exploring Operation: 13+22=35, Resulting Numbers: [92, 5, 35]
Generated Node #0,3: 99:[92, 5, 35] Operation: 13+22=35
Moving to Node #0,3
Current State: 99:[92, 5, 35], Operations: ['13+22=35']
Exploring Operation: 35/5=7, Resulting Numbers: [92, 7]
Generated Node #0,3,0: 99:[92, 7] Operation: 35/5=7
Moving to Node #0,3,0
Current State: 99:[92, 7], Operations: ['13+22=35', '35/5=7']
Exploring Operation: 92+7=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.970486 | hs_4 | mult_heuristic |
[
2,
4,
37,
40
] | 57 | [
"4-2=2",
"40/2=20",
"37+20=57"
] | Current State: 57:[2, 4, 37, 40], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [37, 40, 2]
Generated Node #2: [37, 40, 2] from Operation: 4-2=2
Current State: 57:[37, 40, 2], Operations: ['4-2=2']
Exploring Operation: 40/2=20, Resulting Numbers: [37, 20]
Generated Node #3: [37, 20] from Operation: 40/2=20
Current State: 57:[37, 20], Operations: ['4-2=2', '40/2=20']
Exploring Operation: 37+20=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[2, 4, 37, 40], Operations: []
Exploring Operation: 37+40=77, Resulting Numbers: [2, 4, 77]
Generated Node #0,0: 57:[2, 4, 77] Operation: 37+40=77
Exploring Operation: 40/4=10, Resulting Numbers: [2, 37, 10]
Generated Node #0,1: 57:[2, 37, 10] Operation: 40/4=10
Exploring Operation: 40/2=20, Resulting Numbers: [4, 37, 20]
Generated Node #0,2: 57:[4, 37, 20] Operation: 40/2=20
Exploring Operation: 40-37=3, Resulting Numbers: [2, 4, 3]
Generated Node #0,3: 57:[2, 4, 3] Operation: 40-37=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 57:[2, 4, 3], Operations: ['40-37=3']
Exploring Operation: 4/2=2, Resulting Numbers: [3, 2]
Generated Node #0,3,0: 57:[3, 2] Operation: 4/2=2
Exploring Operation: 4-2=2, Resulting Numbers: [3, 2]
Generated Node #0,3,1: 57:[3, 2] Operation: 4-2=2
Exploring Operation: 2+4=6, Resulting Numbers: [3, 6]
Generated Node #0,3,2: 57:[3, 6] Operation: 2+4=6
Exploring Operation: 2+3=5, Resulting Numbers: [4, 5]
Generated Node #0,3,3: 57:[4, 5] Operation: 2+3=5
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 57:[3, 2], Operations: ['40-37=3', '4/2=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,57 unequal: No Solution
No 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: 57:[3, 2], Operations: ['40-37=3', '4-2=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,57 unequal: No Solution
No 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: 57:[3, 6], Operations: ['40-37=3', '2+4=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,57 unequal: No Solution
No 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: 57:[4, 5], Operations: ['40-37=3', '2+3=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,57 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,57 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,57 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: 57:[4, 37, 20], Operations: ['40/2=20']
Exploring Operation: 37+20=57, Resulting Numbers: [4, 57]
Generated Node #0,2,0: 57:[4, 57] Operation: 37+20=57
Exploring Operation: 4+37=41, Resulting Numbers: [20, 41]
Generated Node #0,2,1: 57:[20, 41] Operation: 4+37=41
Exploring Operation: 37-4=33, Resulting Numbers: [20, 33]
Generated Node #0,2,2: 57:[20, 33] Operation: 37-4=33
Exploring Operation: 37-20=17, Resulting Numbers: [4, 17]
Generated Node #0,2,3: 57:[4, 17] Operation: 37-20=17
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 57:[4, 57], Operations: ['40/2=20', '37+20=57']
Exploring Operation: 4*57=228, Resulting Numbers: [228]
228,57 unequal: No Solution
Exploring Operation: 4+57=61, Resulting Numbers: [61]
61,57 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,57 unequal: No Solution
No 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: 57:[4, 17], Operations: ['40/2=20', '37-20=17']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,57 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,57 unequal: No Solution
No 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: 57:[20, 33], Operations: ['40/2=20', '37-4=33']
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Exploring Operation: 20*33=660, Resulting Numbers: [660]
660,57 unequal: No Solution
Exploring Operation: 20+33=53, Resulting Numbers: [53]
53,57 unequal: No Solution
No 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: 57:[20, 41], Operations: ['40/2=20', '4+37=41']
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,57 unequal: No Solution
Exploring Operation: 20*41=820, Resulting Numbers: [820]
820,57 unequal: No Solution
Exploring Operation: 20+41=61, Resulting Numbers: [61]
61,57 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: 57:[2, 4, 77], Operations: ['37+40=77']
Exploring Operation: 77-2=75, Resulting Numbers: [4, 75]
Generated Node #0,0,0: 57:[4, 75] Operation: 77-2=75
Exploring Operation: 4/2=2, Resulting Numbers: [77, 2]
Generated Node #0,0,1: 57:[77, 2] Operation: 4/2=2
Exploring Operation: 77-4=73, Resulting Numbers: [2, 73]
Generated Node #0,0,2: 57:[2, 73] Operation: 77-4=73
Exploring Operation: 4-2=2, Resulting Numbers: [77, 2]
Generated Node #0,0,3: 57:[77, 2] Operation: 4-2=2
Moving to Node #0,0,2
Current State: 57:[2, 73], Operations: ['37+40=77', '77-4=73']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Exploring Operation: 2*73=146, Resulting Numbers: [146]
146,57 unequal: No Solution
Exploring Operation: 2+73=75, Resulting Numbers: [75]
75,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[4, 75], Operations: ['37+40=77', '77-2=75']
Exploring Operation: 4+75=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Exploring Operation: 4*75=300, Resulting Numbers: [300]
300,57 unequal: No Solution
Moving to Node #0,0,3
Current State: 57:[77, 2], Operations: ['37+40=77', '4-2=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,57 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[77, 2], Operations: ['37+40=77', '4/2=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,57 unequal: No Solution
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,57 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 #0,1
Current State: 57:[2, 37, 10], Operations: ['40/4=10']
Exploring Operation: 2*10=20, Resulting Numbers: [37, 20]
Generated Node #0,1,0: 57:[37, 20] Operation: 2*10=20
Exploring Operation: 10/2=5, Resulting Numbers: [37, 5]
Generated Node #0,1,1: 57:[37, 5] Operation: 10/2=5
Exploring Operation: 37+10=47, Resulting Numbers: [2, 47]
Generated Node #0,1,2: 57:[2, 47] Operation: 37+10=47
Exploring Operation: 37-10=27, Resulting Numbers: [2, 27]
Generated Node #0,1,3: 57:[2, 27] Operation: 37-10=27
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 57:[2, 27], Operations: ['40/4=10', '37-10=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,57 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,57 unequal: No Solution
No 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: 57:[2, 47], Operations: ['40/4=10', '37+10=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,57 unequal: No Solution
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,57 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,57 unequal: No Solution
No 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: 57:[37, 20], Operations: ['40/4=10', '2*10=20']
Exploring Operation: 37*20=740, Resulting Numbers: [740]
740,57 unequal: No Solution
Exploring Operation: 37+20=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[2, 4, 37, 40], Operations: []
Exploring Operation: 40/4=10, Resulting Numbers: [2, 37, 10]
Generated Node #0,1: 57:[2, 37, 10] Operation: 40/4=10
Moving to Node #0,1
Current State: 57:[2, 37, 10], Operations: ['40/4=10']
Exploring Operation: 2*10=20, Resulting Numbers: [37, 20]
Generated Node #0,1,0: 57:[37, 20] Operation: 2*10=20
Moving to Node #0,1,0
Current State: 57:[37, 20], Operations: ['40/4=10', '2*10=20']
Exploring Operation: 37+20=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.940104 | hs_4 | mult_heuristic |
[
6,
10,
84,
92
] | 11 | [
"6+10=16",
"84+92=176",
"176/16=11"
] | Current State: 11:[6, 10, 84, 92], Operations: []
Exploring Operation: 6+10=16, Resulting Numbers: [84, 92, 16]
Generated Node #2: [84, 92, 16] from Operation: 6+10=16
Current State: 11:[84, 92, 16], Operations: ['6+10=16']
Exploring Operation: 84+92=176, Resulting Numbers: [16, 176]
Generated Node #3: [16, 176] from Operation: 84+92=176
Current State: 11:[16, 176], Operations: ['6+10=16', '84+92=176']
Exploring Operation: 176/16=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[6, 10, 84, 92], Operations: []
Exploring Operation: 92-6=86, Resulting Numbers: [10, 84, 86]
Generated Node #0,0: 11:[10, 84, 86] Operation: 92-6=86
Exploring Operation: 84-6=78, Resulting Numbers: [10, 92, 78]
Generated Node #0,1: 11:[10, 92, 78] Operation: 84-6=78
Exploring Operation: 84/6=14, Resulting Numbers: [10, 92, 14]
Generated Node #0,2: 11:[10, 92, 14] Operation: 84/6=14
Exploring Operation: 84-10=74, Resulting Numbers: [6, 92, 74]
Generated Node #0,3: 11:[6, 92, 74] Operation: 84-10=74
Exploring Operation: 92-84=8, Resulting Numbers: [6, 10, 8]
Generated Node #0,4: 11:[6, 10, 8] Operation: 92-84=8
Moving to Node #0,4
Current State: 11:[6, 10, 8], Operations: ['92-84=8']
Exploring Operation: 8-6=2, Resulting Numbers: [10, 2]
Generated Node #0,4,0: 11:[10, 2] Operation: 8-6=2
Exploring Operation: 10+8=18, Resulting Numbers: [6, 18]
Generated Node #0,4,1: 11:[6, 18] Operation: 10+8=18
Exploring Operation: 6+8=14, Resulting Numbers: [10, 14]
Generated Node #0,4,2: 11:[10, 14] Operation: 6+8=14
Exploring Operation: 6+10=16, Resulting Numbers: [8, 16]
Generated Node #0,4,3: 11:[8, 16] Operation: 6+10=16
Exploring Operation: 10-6=4, Resulting Numbers: [8, 4]
Generated Node #0,4,4: 11:[8, 4] Operation: 10-6=4
Moving to Node #0,2
Current State: 11:[10, 92, 14], Operations: ['84/6=14']
Exploring Operation: 92-14=78, Resulting Numbers: [10, 78]
Generated Node #0,2,0: 11:[10, 78] Operation: 92-14=78
Exploring Operation: 92-10=82, Resulting Numbers: [14, 82]
Generated Node #0,2,1: 11:[14, 82] Operation: 92-10=82
Exploring Operation: 14-10=4, Resulting Numbers: [92, 4]
Generated Node #0,2,2: 11:[92, 4] Operation: 14-10=4
Exploring Operation: 10+92=102, Resulting Numbers: [14, 102]
Generated Node #0,2,3: 11:[14, 102] Operation: 10+92=102
Exploring Operation: 10+14=24, Resulting Numbers: [92, 24]
Generated Node #0,2,4: 11:[92, 24] Operation: 10+14=24
Moving to Node #0,0
Current State: 11:[10, 84, 86], Operations: ['92-6=86']
Exploring Operation: 86-10=76, Resulting Numbers: [84, 76]
Generated Node #0,0,0: 11:[84, 76] Operation: 86-10=76
Exploring Operation: 10+86=96, Resulting Numbers: [84, 96]
Generated Node #0,0,1: 11:[84, 96] Operation: 10+86=96
Exploring Operation: 84-10=74, Resulting Numbers: [86, 74]
Generated Node #0,0,2: 11:[86, 74] Operation: 84-10=74
Exploring Operation: 86-84=2, Resulting Numbers: [10, 2]
Generated Node #0,0,3: 11:[10, 2] Operation: 86-84=2
Exploring Operation: 10+84=94, Resulting Numbers: [86, 94]
Generated Node #0,0,4: 11:[86, 94] Operation: 10+84=94
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 11:[10, 2], Operations: ['92-6=86', '86-84=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[84, 76], Operations: ['92-6=86', '86-10=76']
Exploring Operation: 84*76=6384, Resulting Numbers: [6384]
6384,11 unequal: No Solution
Exploring Operation: 84+76=160, Resulting Numbers: [160]
160,11 unequal: No Solution
Exploring Operation: 84-76=8, Resulting Numbers: [8]
8,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 11:[86, 74], Operations: ['92-6=86', '84-10=74']
Exploring Operation: 86-74=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 86*74=6364, Resulting Numbers: [6364]
6364,11 unequal: No Solution
Exploring Operation: 86+74=160, Resulting Numbers: [160]
160,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[84, 96], Operations: ['92-6=86', '10+86=96']
Exploring Operation: 84+96=180, Resulting Numbers: [180]
180,11 unequal: No Solution
Exploring Operation: 84*96=8064, Resulting Numbers: [8064]
8064,11 unequal: No Solution
Exploring Operation: 96-84=12, Resulting Numbers: [12]
12,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 11:[86, 94], Operations: ['92-6=86', '10+84=94']
Exploring Operation: 86+94=180, Resulting Numbers: [180]
180,11 unequal: No Solution
Exploring Operation: 86*94=8084, Resulting Numbers: [8084]
8084,11 unequal: No Solution
Exploring Operation: 94-86=8, Resulting Numbers: [8]
8,11 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: 11:[10, 92, 78], Operations: ['84-6=78']
Exploring Operation: 10+92=102, Resulting Numbers: [78, 102]
Generated Node #0,1,0: 11:[78, 102] Operation: 10+92=102
Exploring Operation: 92-10=82, Resulting Numbers: [78, 82]
Generated Node #0,1,1: 11:[78, 82] Operation: 92-10=82
Exploring Operation: 92-78=14, Resulting Numbers: [10, 14]
Generated Node #0,1,2: 11:[10, 14] Operation: 92-78=14
Exploring Operation: 10+78=88, Resulting Numbers: [92, 88]
Generated Node #0,1,3: 11:[92, 88] Operation: 10+78=88
Exploring Operation: 78-10=68, Resulting Numbers: [92, 68]
Generated Node #0,1,4: 11:[92, 68] Operation: 78-10=68
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 11:[10, 14], Operations: ['84-6=78', '92-78=14']
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 10*14=140, Resulting Numbers: [140]
140,11 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[78, 82], Operations: ['84-6=78', '92-10=82']
Exploring Operation: 82-78=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 78*82=6396, Resulting Numbers: [6396]
6396,11 unequal: No Solution
Exploring Operation: 78+82=160, Resulting Numbers: [160]
160,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 11:[92, 68], Operations: ['84-6=78', '78-10=68']
Exploring Operation: 92*68=6256, Resulting Numbers: [6256]
6256,11 unequal: No Solution
Exploring Operation: 92+68=160, Resulting Numbers: [160]
160,11 unequal: No Solution
Exploring Operation: 92-68=24, Resulting Numbers: [24]
24,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[78, 102], Operations: ['84-6=78', '10+92=102']
Exploring Operation: 102-78=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 78*102=7956, Resulting Numbers: [7956]
7956,11 unequal: No Solution
Exploring Operation: 78+102=180, Resulting Numbers: [180]
180,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 11:[92, 88], Operations: ['84-6=78', '10+78=88']
Exploring Operation: 92*88=8096, Resulting Numbers: [8096]
8096,11 unequal: No Solution
Exploring Operation: 92+88=180, Resulting Numbers: [180]
180,11 unequal: No Solution
Exploring Operation: 92-88=4, Resulting Numbers: [4]
4,11 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: 11:[6, 92, 74], Operations: ['84-10=74']
Exploring Operation: 6+74=80, Resulting Numbers: [92, 80]
Generated Node #0,3,0: 11:[92, 80] Operation: 6+74=80
Exploring Operation: 74-6=68, Resulting Numbers: [92, 68]
Generated Node #0,3,1: 11:[92, 68] Operation: 74-6=68
Exploring Operation: 92-74=18, Resulting Numbers: [6, 18]
Generated Node #0,3,2: 11:[6, 18] Operation: 92-74=18
Exploring Operation: 6+92=98, Resulting Numbers: [74, 98]
Generated Node #0,3,3: 11:[74, 98] Operation: 6+92=98
Exploring Operation: 92-6=86, Resulting Numbers: [74, 86]
Generated Node #0,3,4: 11:[74, 86] Operation: 92-6=86
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[6, 18], Operations: ['84-10=74', '92-74=18']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 6*18=108, Resulting Numbers: [108]
108,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[92, 68], Operations: ['84-10=74', '74-6=68']
Exploring Operation: 92+68=160, Resulting Numbers: [160]
160,11 unequal: No Solution
Exploring Operation: 92-68=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 92*68=6256, Resulting Numbers: [6256]
6256,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 11:[74, 86], Operations: ['84-10=74', '92-6=86']
Exploring Operation: 74+86=160, Resulting Numbers: [160]
160,11 unequal: No Solution
Exploring Operation: 74*86=6364, Resulting Numbers: [6364]
6364,11 unequal: No Solution
Exploring Operation: 86-74=12, Resulting Numbers: [12]
12,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[92, 80], Operations: ['84-10=74', '6+74=80']
Exploring Operation: 92-80=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 92+80=172, Resulting Numbers: [172]
172,11 unequal: No Solution
Exploring Operation: 92*80=7360, Resulting Numbers: [7360]
7360,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 11:[74, 98], Operations: ['84-10=74', '6+92=98']
Exploring Operation: 74*98=7252, Resulting Numbers: [7252]
7252,11 unequal: No Solution
Exploring Operation: 74+98=172, Resulting Numbers: [172]
172,11 unequal: No Solution
Exploring Operation: 98-74=24, Resulting Numbers: [24]
24,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,2
Current State: 11:[10, 14], Operations: ['92-84=8', '6+8=14']
Exploring Operation: 10*14=140, Resulting Numbers: [140]
140,11 unequal: No Solution
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Moving to Node #0,4,3
Current State: 11:[8, 16], Operations: ['92-84=8', '6+10=16']
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 8*16=128, Resulting Numbers: [128]
128,11 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Exploring Operation: 8+16=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Moving to Node #0,4,0
Current State: 11:[10, 2], Operations: ['92-84=8', '8-6=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Moving to Node #0,4,4
Current State: 11:[8, 4], Operations: ['92-84=8', '10-6=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Moving to Node #0,4,1
Current State: 11:[6, 18], Operations: ['92-84=8', '10+8=18']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 6*18=108, Resulting Numbers: [108]
108,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[10, 78], Operations: ['84/6=14', '92-14=78']
Exploring Operation: 10+78=88, Resulting Numbers: [88]
88,11 unequal: No Solution
Exploring Operation: 10*78=780, Resulting Numbers: [780]
780,11 unequal: No Solution
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[14, 82], Operations: ['84/6=14', '92-10=82']
Exploring Operation: 14+82=96, Resulting Numbers: [96]
96,11 unequal: No Solution
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Exploring Operation: 14*82=1148, Resulting Numbers: [1148]
1148,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[92, 4], Operations: ['84/6=14', '14-10=4']
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,11 unequal: No Solution
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,11 unequal: No Solution
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 92*4=368, Resulting Numbers: [368]
368,11 unequal: No Solution
Moving to Node #0,2,4
Current State: 11:[92, 24], Operations: ['84/6=14', '10+14=24']
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Exploring Operation: 92+24=116, Resulting Numbers: [116]
116,11 unequal: No Solution
Exploring Operation: 92*24=2208, Resulting Numbers: [2208]
2208,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[14, 102], Operations: ['84/6=14', '10+92=102']
Exploring Operation: 102-14=88, Resulting Numbers: [88]
88,11 unequal: No Solution
Exploring Operation: 14*102=1428, Resulting Numbers: [1428]
1428,11 unequal: No Solution
Exploring Operation: 14+102=116, Resulting Numbers: [116]
116,11 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
13,
45,
12,
9
] | 48 | [
"13*45=585",
"585-9=576",
"576/12=48"
] | Current State: 48:[13, 45, 12, 9], Operations: []
Exploring Operation: 13*45=585, Resulting Numbers: [12, 9, 585]
Generated Node #2: [12, 9, 585] from Operation: 13*45=585
Current State: 48:[12, 9, 585], Operations: ['13*45=585']
Exploring Operation: 585-9=576, Resulting Numbers: [12, 576]
Generated Node #3: [12, 576] from Operation: 585-9=576
Current State: 48:[12, 576], Operations: ['13*45=585', '585-9=576']
Exploring Operation: 576/12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[13, 45, 12, 9], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [13, 12, 5]
Generated Node #0,0: 48:[13, 12, 5] Operation: 45/9=5
Moving to Node #0,0
Current State: 48:[13, 12, 5], Operations: ['45/9=5']
Exploring Operation: 13-5=8, Resulting Numbers: [12, 8]
Generated Node #0,0,0: 48:[12, 8] Operation: 13-5=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[12, 8], Operations: ['45/9=5', '13-5=8']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,48 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 |
[
91,
2,
94,
57
] | 64 | [
"91+94=185",
"185-57=128",
"128/2=64"
] | Current State: 64:[91, 2, 94, 57], Operations: []
Exploring Operation: 91+94=185, Resulting Numbers: [2, 57, 185]
Generated Node #2: [2, 57, 185] from Operation: 91+94=185
Current State: 64:[2, 57, 185], Operations: ['91+94=185']
Exploring Operation: 185-57=128, Resulting Numbers: [2, 128]
Generated Node #3: [2, 128] from Operation: 185-57=128
Current State: 64:[2, 128], Operations: ['91+94=185', '185-57=128']
Exploring Operation: 128/2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[91, 2, 94, 57], Operations: []
Exploring Operation: 91-57=34, Resulting Numbers: [2, 94, 34]
Generated Node #0,0: 64:[2, 94, 34] Operation: 91-57=34
Exploring Operation: 94/2=47, Resulting Numbers: [91, 57, 47]
Generated Node #0,1: 64:[91, 57, 47] Operation: 94/2=47
Exploring Operation: 94-57=37, Resulting Numbers: [91, 2, 37]
Generated Node #0,2: 64:[91, 2, 37] Operation: 94-57=37
Exploring Operation: 94-91=3, Resulting Numbers: [2, 57, 3]
Generated Node #0,3: 64:[2, 57, 3] Operation: 94-91=3
Exploring Operation: 91-2=89, Resulting Numbers: [94, 57, 89]
Generated Node #0,4: 64:[94, 57, 89] Operation: 91-2=89
Moving to Node #0,3
Current State: 64:[2, 57, 3], Operations: ['94-91=3']
Exploring Operation: 57+3=60, Resulting Numbers: [2, 60]
Generated Node #0,3,0: 64:[2, 60] Operation: 57+3=60
Exploring Operation: 2+57=59, Resulting Numbers: [3, 59]
Generated Node #0,3,1: 64:[3, 59] Operation: 2+57=59
Exploring Operation: 3-2=1, Resulting Numbers: [57, 1]
Generated Node #0,3,2: 64:[57, 1] Operation: 3-2=1
Exploring Operation: 57/3=19, Resulting Numbers: [2, 19]
Generated Node #0,3,3: 64:[2, 19] Operation: 57/3=19
Exploring Operation: 2+3=5, Resulting Numbers: [57, 5]
Generated Node #0,3,4: 64:[57, 5] Operation: 2+3=5
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 64:[2, 19], Operations: ['94-91=3', '57/3=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,64 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 64:[2, 60], Operations: ['94-91=3', '57+3=60']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Exploring Operation: 2*60=120, Resulting Numbers: [120]
120,64 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 64:[3, 59], Operations: ['94-91=3', '2+57=59']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 64:[57, 1], Operations: ['94-91=3', '3-2=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 64:[57, 5], Operations: ['94-91=3', '2+3=5']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Exploring Operation: 57*5=285, Resulting Numbers: [285]
285,64 unequal: No Solution
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,64 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: 64:[91, 2, 37], Operations: ['94-57=37']
Exploring Operation: 91-37=54, Resulting Numbers: [2, 54]
Generated Node #0,2,0: 64:[2, 54] Operation: 91-37=54
Exploring Operation: 2+37=39, Resulting Numbers: [91, 39]
Generated Node #0,2,1: 64:[91, 39] Operation: 2+37=39
Exploring Operation: 37-2=35, Resulting Numbers: [91, 35]
Generated Node #0,2,2: 64:[91, 35] Operation: 37-2=35
Exploring Operation: 91+2=93, Resulting Numbers: [37, 93]
Generated Node #0,2,3: 64:[37, 93] Operation: 91+2=93
Exploring Operation: 91-2=89, Resulting Numbers: [37, 89]
Generated Node #0,2,4: 64:[37, 89] Operation: 91-2=89
Moving to Node #0,0
Current State: 64:[2, 94, 34], Operations: ['91-57=34']
Exploring Operation: 94/2=47, Resulting Numbers: [34, 47]
Generated Node #0,0,0: 64:[34, 47] Operation: 94/2=47
Exploring Operation: 94-2=92, Resulting Numbers: [34, 92]
Generated Node #0,0,1: 64:[34, 92] Operation: 94-2=92
Exploring Operation: 34-2=32, Resulting Numbers: [94, 32]
Generated Node #0,0,2: 64:[94, 32] Operation: 34-2=32
Exploring Operation: 94-34=60, Resulting Numbers: [2, 60]
Generated Node #0,0,3: 64:[2, 60] Operation: 94-34=60
Exploring Operation: 34/2=17, Resulting Numbers: [94, 17]
Generated Node #0,0,4: 64:[94, 17] Operation: 34/2=17
Moving to Node #0,1
Current State: 64:[91, 57, 47], Operations: ['94/2=47']
Exploring Operation: 91-57=34, Resulting Numbers: [47, 34]
Generated Node #0,1,0: 64:[47, 34] Operation: 91-57=34
Exploring Operation: 57+47=104, Resulting Numbers: [91, 104]
Generated Node #0,1,1: 64:[91, 104] Operation: 57+47=104
Exploring Operation: 91-47=44, Resulting Numbers: [57, 44]
Generated Node #0,1,2: 64:[57, 44] Operation: 91-47=44
Exploring Operation: 57-47=10, Resulting Numbers: [91, 10]
Generated Node #0,1,3: 64:[91, 10] Operation: 57-47=10
Exploring Operation: 91+47=138, Resulting Numbers: [57, 138]
Generated Node #0,1,4: 64:[57, 138] Operation: 91+47=138
Moving to Node #0,4
Current State: 64:[94, 57, 89], Operations: ['91-2=89']
Exploring Operation: 89-57=32, Resulting Numbers: [94, 32]
Generated Node #0,4,0: 64:[94, 32] Operation: 89-57=32
Exploring Operation: 57+89=146, Resulting Numbers: [94, 146]
Generated Node #0,4,1: 64:[94, 146] Operation: 57+89=146
Exploring Operation: 94-89=5, Resulting Numbers: [57, 5]
Generated Node #0,4,2: 64:[57, 5] Operation: 94-89=5
Exploring Operation: 94-57=37, Resulting Numbers: [89, 37]
Generated Node #0,4,3: 64:[89, 37] Operation: 94-57=37
Exploring Operation: 94+57=151, Resulting Numbers: [89, 151]
Generated Node #0,4,4: 64:[89, 151] Operation: 94+57=151
Moving to Node #0,0,3
Current State: 64:[2, 60], Operations: ['91-57=34', '94-34=60']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 2*60=120, Resulting Numbers: [120]
120,64 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Moving to Node #0,4,2
Current State: 64:[57, 5], Operations: ['91-2=89', '94-89=5']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Exploring Operation: 57*5=285, Resulting Numbers: [285]
285,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[2, 54], Operations: ['94-57=37', '91-37=54']
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,64 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[34, 47], Operations: ['91-57=34', '94/2=47']
Exploring Operation: 34*47=1598, Resulting Numbers: [1598]
1598,64 unequal: No Solution
Exploring Operation: 34+47=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[47, 34], Operations: ['94/2=47', '91-57=34']
Exploring Operation: 47*34=1598, Resulting Numbers: [1598]
1598,64 unequal: No Solution
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 47+34=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[57, 44], Operations: ['94/2=47', '91-47=44']
Exploring Operation: 57+44=101, Resulting Numbers: [101]
101,64 unequal: No Solution
Exploring Operation: 57-44=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 57*44=2508, Resulting Numbers: [2508]
2508,64 unequal: No Solution
Moving to Node #0,1,3
Current State: 64:[91, 10], Operations: ['94/2=47', '57-47=10']
Exploring Operation: 91+10=101, Resulting Numbers: [101]
101,64 unequal: No Solution
Exploring Operation: 91-10=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 91*10=910, Resulting Numbers: [910]
910,64 unequal: No Solution
Moving to Node #0,2,4
Current State: 64:[37, 89], Operations: ['94-57=37', '91-2=89']
Exploring Operation: 37+89=126, Resulting Numbers: [126]
126,64 unequal: No Solution
Exploring Operation: 89-37=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Exploring Operation: 37*89=3293, Resulting Numbers: [3293]
3293,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[91, 35], Operations: ['94-57=37', '37-2=35']
Exploring Operation: 91+35=126, Resulting Numbers: [126]
126,64 unequal: No Solution
Exploring Operation: 91*35=3185, Resulting Numbers: [3185]
3185,64 unequal: No Solution
Exploring Operation: 91-35=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Moving to Node #0,4,0
Current State: 64:[94, 32], Operations: ['91-2=89', '89-57=32']
Exploring Operation: 94+32=126, Resulting Numbers: [126]
126,64 unequal: No Solution
Exploring Operation: 94*32=3008, Resulting Numbers: [3008]
3008,64 unequal: No Solution
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[94, 32], Operations: ['91-57=34', '34-2=32']
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Exploring Operation: 94*32=3008, Resulting Numbers: [3008]
3008,64 unequal: No Solution
Exploring Operation: 94+32=126, Resulting Numbers: [126]
126,64 unequal: No Solution
Moving to Node #0,4,3
Current State: 64:[89, 37], Operations: ['91-2=89', '94-57=37']
Exploring Operation: 89-37=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Exploring Operation: 89*37=3293, Resulting Numbers: [3293]
3293,64 unequal: No Solution
Exploring Operation: 89+37=126, Resulting Numbers: [126]
126,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[34, 92], Operations: ['91-57=34', '94-2=92']
Exploring Operation: 92-34=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 34+92=126, Resulting Numbers: [126]
126,64 unequal: No Solution
Exploring Operation: 34*92=3128, Resulting Numbers: [3128]
3128,64 unequal: No Solution
Moving to Node #0,0,4
Current State: 64:[94, 17], Operations: ['91-57=34', '34/2=17']
Exploring Operation: 94*17=1598, Resulting Numbers: [1598]
1598,64 unequal: No Solution
Exploring Operation: 94-17=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 94+17=111, Resulting Numbers: [111]
111,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[91, 39], Operations: ['94-57=37', '2+37=39']
Exploring Operation: 91-39=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Exploring Operation: 91*39=3549, Resulting Numbers: [3549]
3549,64 unequal: No Solution
Exploring Operation: 91+39=130, Resulting Numbers: [130]
130,64 unequal: No Solution
Moving to Node #0,2,3
Current State: 64:[37, 93], Operations: ['94-57=37', '91+2=93']
Exploring Operation: 37+93=130, Resulting Numbers: [130]
130,64 unequal: No Solution
Exploring Operation: 93-37=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Exploring Operation: 37*93=3441, Resulting Numbers: [3441]
3441,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[91, 104], Operations: ['94/2=47', '57+47=104']
Exploring Operation: 104-91=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 91*104=9464, Resulting Numbers: [9464]
9464,64 unequal: No Solution
Exploring Operation: 91+104=195, Resulting Numbers: [195]
195,64 unequal: No Solution
Moving to Node #0,1,4
Current State: 64:[57, 138], Operations: ['94/2=47', '91+47=138']
Exploring Operation: 57+138=195, Resulting Numbers: [195]
195,64 unequal: No Solution
Exploring Operation: 138-57=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 57*138=7866, Resulting Numbers: [7866]
7866,64 unequal: No Solution
Moving to Node #0,4,4
Current State: 64:[89, 151], Operations: ['91-2=89', '94+57=151']
Exploring Operation: 151-89=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Exploring Operation: 89*151=13439, Resulting Numbers: [13439]
13439,64 unequal: No Solution
Exploring Operation: 89+151=240, Resulting Numbers: [240]
240,64 unequal: No Solution
Moving to Node #0,4,1
Current State: 64:[94, 146], Operations: ['91-2=89', '57+89=146']
Exploring Operation: 94*146=13724, Resulting Numbers: [13724]
13724,64 unequal: No Solution
Exploring Operation: 94+146=240, Resulting Numbers: [240]
240,64 unequal: No Solution
Exploring Operation: 146-94=52, Resulting Numbers: [52]
52,64 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
92,
79,
2,
38
] | 71 | [
"92/2=46",
"79+38=117",
"117-46=71"
] | Current State: 71:[92, 79, 2, 38], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [79, 38, 46]
Generated Node #2: [79, 38, 46] from Operation: 92/2=46
Current State: 71:[79, 38, 46], Operations: ['92/2=46']
Exploring Operation: 79+38=117, Resulting Numbers: [46, 117]
Generated Node #3: [46, 117] from Operation: 79+38=117
Current State: 71:[46, 117], Operations: ['92/2=46', '79+38=117']
Exploring Operation: 117-46=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[92, 79, 2, 38], Operations: []
Exploring Operation: 92-2=90, Resulting Numbers: [79, 38, 90]
Generated Node #0,0: 71:[79, 38, 90] Operation: 92-2=90
Exploring Operation: 79-2=77, Resulting Numbers: [92, 38, 77]
Generated Node #0,1: 71:[92, 38, 77] Operation: 79-2=77
Exploring Operation: 2+38=40, Resulting Numbers: [92, 79, 40]
Generated Node #0,2: 71:[92, 79, 40] Operation: 2+38=40
Exploring Operation: 2*38=76, Resulting Numbers: [92, 79, 76]
Generated Node #0,3: 71:[92, 79, 76] Operation: 2*38=76
Moving to Node #0,3
Current State: 71:[92, 79, 76], Operations: ['2*38=76']
Exploring Operation: 92-79=13, Resulting Numbers: [76, 13]
Generated Node #0,3,0: 71:[76, 13] Operation: 92-79=13
Exploring Operation: 92+79=171, Resulting Numbers: [76, 171]
Generated Node #0,3,1: 71:[76, 171] Operation: 92+79=171
Exploring Operation: 92-76=16, Resulting Numbers: [79, 16]
Generated Node #0,3,2: 71:[79, 16] Operation: 92-76=16
Exploring Operation: 79-76=3, Resulting Numbers: [92, 3]
Generated Node #0,3,3: 71:[92, 3] Operation: 79-76=3
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 71:[76, 13], Operations: ['2*38=76', '92-79=13']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,71 unequal: No Solution
Exploring Operation: 76*13=988, Resulting Numbers: [988]
988,71 unequal: No Solution
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,71 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 #0,3,2
Current State: 71:[79, 16], Operations: ['2*38=76', '92-76=16']
Exploring Operation: 79*16=1264, Resulting Numbers: [1264]
1264,71 unequal: No Solution
Exploring Operation: 79+16=95, Resulting Numbers: [95]
95,71 unequal: No Solution
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,71 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:[92, 3], Operations: ['2*38=76', '79-76=3']
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,71 unequal: No Solution
Exploring Operation: 92*3=276, Resulting Numbers: [276]
276,71 unequal: No Solution
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,71 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:[76, 171], Operations: ['2*38=76', '92+79=171']
Exploring Operation: 76*171=12996, Resulting Numbers: [12996]
12996,71 unequal: No Solution
Exploring Operation: 171-76=95, Resulting Numbers: [95]
95,71 unequal: No Solution
Exploring Operation: 76+171=247, Resulting Numbers: [247]
247,71 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: 71:[92, 38, 77], Operations: ['79-2=77']
Exploring Operation: 92+38=130, Resulting Numbers: [77, 130]
Generated Node #0,1,0: 71:[77, 130] Operation: 92+38=130
Exploring Operation: 77-38=39, Resulting Numbers: [92, 39]
Generated Node #0,1,1: 71:[92, 39] Operation: 77-38=39
Exploring Operation: 92-38=54, Resulting Numbers: [77, 54]
Generated Node #0,1,2: 71:[77, 54] Operation: 92-38=54
Exploring Operation: 38+77=115, Resulting Numbers: [92, 115]
Generated Node #0,1,3: 71:[92, 115] Operation: 38+77=115
Moving to Node #0,0
Current State: 71:[79, 38, 90], Operations: ['92-2=90']
Exploring Operation: 38+90=128, Resulting Numbers: [79, 128]
Generated Node #0,0,0: 71:[79, 128] Operation: 38+90=128
Exploring Operation: 79+38=117, Resulting Numbers: [90, 117]
Generated Node #0,0,1: 71:[90, 117] Operation: 79+38=117
Exploring Operation: 90-38=52, Resulting Numbers: [79, 52]
Generated Node #0,0,2: 71:[79, 52] Operation: 90-38=52
Exploring Operation: 79-38=41, Resulting Numbers: [90, 41]
Generated Node #0,0,3: 71:[90, 41] Operation: 79-38=41
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 71:[79, 52], Operations: ['92-2=90', '90-38=52']
Exploring Operation: 79*52=4108, Resulting Numbers: [4108]
4108,71 unequal: No Solution
Exploring Operation: 79+52=131, Resulting Numbers: [131]
131,71 unequal: No Solution
Exploring Operation: 79-52=27, Resulting Numbers: [27]
27,71 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 #0,0,3
Current State: 71:[90, 41], Operations: ['92-2=90', '79-38=41']
Exploring Operation: 90+41=131, Resulting Numbers: [131]
131,71 unequal: No Solution
Exploring Operation: 90*41=3690, Resulting Numbers: [3690]
3690,71 unequal: No Solution
Exploring Operation: 90-41=49, Resulting Numbers: [49]
49,71 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:[79, 128], Operations: ['92-2=90', '38+90=128']
Exploring Operation: 79+128=207, Resulting Numbers: [207]
207,71 unequal: No Solution
Exploring Operation: 79*128=10112, Resulting Numbers: [10112]
10112,71 unequal: No Solution
Exploring Operation: 128-79=49, Resulting Numbers: [49]
49,71 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:[90, 117], Operations: ['92-2=90', '79+38=117']
Exploring Operation: 90+117=207, Resulting Numbers: [207]
207,71 unequal: No Solution
Exploring Operation: 117-90=27, Resulting Numbers: [27]
27,71 unequal: No Solution
Exploring Operation: 90*117=10530, Resulting Numbers: [10530]
10530,71 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:[92, 79, 40], Operations: ['2+38=40']
Exploring Operation: 79+40=119, Resulting Numbers: [92, 119]
Generated Node #0,2,0: 71:[92, 119] Operation: 79+40=119
Exploring Operation: 79-40=39, Resulting Numbers: [92, 39]
Generated Node #0,2,1: 71:[92, 39] Operation: 79-40=39
Exploring Operation: 92-40=52, Resulting Numbers: [79, 52]
Generated Node #0,2,2: 71:[79, 52] Operation: 92-40=52
Exploring Operation: 92+40=132, Resulting Numbers: [79, 132]
Generated Node #0,2,3: 71:[79, 132] Operation: 92+40=132
Moving to Node #0,1,2
Current State: 71:[77, 54], Operations: ['79-2=77', '92-38=54']
Exploring Operation: 77*54=4158, Resulting Numbers: [4158]
4158,71 unequal: No Solution
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,71 unequal: No Solution
Exploring Operation: 77+54=131, Resulting Numbers: [131]
131,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[79, 52], Operations: ['2+38=40', '92-40=52']
Exploring Operation: 79-52=27, Resulting Numbers: [27]
27,71 unequal: No Solution
Exploring Operation: 79*52=4108, Resulting Numbers: [4108]
4108,71 unequal: No Solution
Exploring Operation: 79+52=131, Resulting Numbers: [131]
131,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[92, 39], Operations: ['2+38=40', '79-40=39']
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Exploring Operation: 92+39=131, Resulting Numbers: [131]
131,71 unequal: No Solution
Exploring Operation: 92*39=3588, Resulting Numbers: [3588]
3588,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[92, 39], Operations: ['79-2=77', '77-38=39']
Exploring Operation: 92+39=131, Resulting Numbers: [131]
131,71 unequal: No Solution
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Exploring Operation: 92*39=3588, Resulting Numbers: [3588]
3588,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[77, 130], Operations: ['79-2=77', '92+38=130']
Exploring Operation: 77*130=10010, Resulting Numbers: [10010]
10010,71 unequal: No Solution
Exploring Operation: 77+130=207, Resulting Numbers: [207]
207,71 unequal: No Solution
Exploring Operation: 130-77=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Moving to Node #0,1,3
Current State: 71:[92, 115], Operations: ['79-2=77', '38+77=115']
Exploring Operation: 92+115=207, Resulting Numbers: [207]
207,71 unequal: No Solution
Exploring Operation: 92*115=10580, Resulting Numbers: [10580]
10580,71 unequal: No Solution
Exploring Operation: 115-92=23, Resulting Numbers: [23]
23,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[92, 119], Operations: ['2+38=40', '79+40=119']
Exploring Operation: 92*119=10948, Resulting Numbers: [10948]
10948,71 unequal: No Solution
Exploring Operation: 92+119=211, Resulting Numbers: [211]
211,71 unequal: No Solution
Exploring Operation: 119-92=27, Resulting Numbers: [27]
27,71 unequal: No Solution
Moving to Node #0,2,3
Current State: 71:[79, 132], Operations: ['2+38=40', '92+40=132']
Exploring Operation: 79+132=211, Resulting Numbers: [211]
211,71 unequal: No Solution
Exploring Operation: 79*132=10428, Resulting Numbers: [10428]
10428,71 unequal: No Solution
Exploring Operation: 132-79=53, Resulting Numbers: [53]
53,71 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
30,
26,
82,
96
] | 58 | [
"30-26=4",
"96/4=24",
"82-24=58"
] | Current State: 58:[30, 26, 82, 96], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [82, 96, 4]
Generated Node #2: [82, 96, 4] from Operation: 30-26=4
Current State: 58:[82, 96, 4], Operations: ['30-26=4']
Exploring Operation: 96/4=24, Resulting Numbers: [82, 24]
Generated Node #3: [82, 24] from Operation: 96/4=24
Current State: 58:[82, 24], Operations: ['30-26=4', '96/4=24']
Exploring Operation: 82-24=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[30, 26, 82, 96], Operations: []
Exploring Operation: 96-30=66, Resulting Numbers: [26, 82, 66]
Generated Node #0,0: 58:[26, 82, 66] Operation: 96-30=66
Exploring Operation: 96-82=14, Resulting Numbers: [30, 26, 14]
Generated Node #0,1: 58:[30, 26, 14] Operation: 96-82=14
Exploring Operation: 96-26=70, Resulting Numbers: [30, 82, 70]
Generated Node #0,2: 58:[30, 82, 70] Operation: 96-26=70
Exploring Operation: 82-26=56, Resulting Numbers: [30, 96, 56]
Generated Node #0,3: 58:[30, 96, 56] Operation: 82-26=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[30, 26, 14], Operations: ['96-82=14']
Exploring Operation: 26+14=40, Resulting Numbers: [30, 40]
Generated Node #0,1,0: 58:[30, 40] Operation: 26+14=40
Exploring Operation: 26-14=12, Resulting Numbers: [30, 12]
Generated Node #0,1,1: 58:[30, 12] Operation: 26-14=12
Exploring Operation: 30+26=56, Resulting Numbers: [14, 56]
Generated Node #0,1,2: 58:[14, 56] Operation: 30+26=56
Exploring Operation: 30-26=4, Resulting Numbers: [14, 4]
Generated Node #0,1,3: 58:[14, 4] Operation: 30-26=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 58:[30, 12], Operations: ['96-82=14', '26-14=12']
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 30*12=360, Resulting Numbers: [360]
360,58 unequal: No Solution
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,58 unequal: No Solution
No 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: 58:[30, 40], Operations: ['96-82=14', '26+14=40']
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 30*40=1200, Resulting Numbers: [1200]
1200,58 unequal: No Solution
Exploring Operation: 30+40=70, Resulting Numbers: [70]
70,58 unequal: No Solution
No 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: 58:[14, 56], Operations: ['96-82=14', '30+26=56']
Exploring Operation: 14*56=784, Resulting Numbers: [784]
784,58 unequal: No Solution
Exploring Operation: 14+56=70, Resulting Numbers: [70]
70,58 unequal: No Solution
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 56/14=4, Resulting Numbers: [4]
4,58 unequal: No Solution
No 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: 58:[14, 4], Operations: ['96-82=14', '30-26=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,58 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: 58:[26, 82, 66], Operations: ['96-30=66']
Exploring Operation: 82-26=56, Resulting Numbers: [66, 56]
Generated Node #0,0,0: 58:[66, 56] Operation: 82-26=56
Exploring Operation: 26+82=108, Resulting Numbers: [66, 108]
Generated Node #0,0,1: 58:[66, 108] Operation: 26+82=108
Exploring Operation: 82-66=16, Resulting Numbers: [26, 16]
Generated Node #0,0,2: 58:[26, 16] Operation: 82-66=16
Exploring Operation: 66-26=40, Resulting Numbers: [82, 40]
Generated Node #0,0,3: 58:[82, 40] Operation: 66-26=40
Moving to Node #0,0,0
Current State: 58:[66, 56], Operations: ['96-30=66', '82-26=56']
Exploring Operation: 66*56=3696, Resulting Numbers: [3696]
3696,58 unequal: No Solution
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 66+56=122, Resulting Numbers: [122]
122,58 unequal: No Solution
Moving to Node #0,0,2
Current State: 58:[26, 16], Operations: ['96-30=66', '82-66=16']
Exploring Operation: 26+16=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 26*16=416, Resulting Numbers: [416]
416,58 unequal: No Solution
Moving to Node #0,0,3
Current State: 58:[82, 40], Operations: ['96-30=66', '66-26=40']
Exploring Operation: 82+40=122, Resulting Numbers: [122]
122,58 unequal: No Solution
Exploring Operation: 82*40=3280, Resulting Numbers: [3280]
3280,58 unequal: No Solution
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[66, 108], Operations: ['96-30=66', '26+82=108']
Exploring Operation: 66+108=174, Resulting Numbers: [174]
174,58 unequal: No Solution
Exploring Operation: 66*108=7128, Resulting Numbers: [7128]
7128,58 unequal: No Solution
Exploring Operation: 108-66=42, Resulting Numbers: [42]
42,58 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 #0,2
Current State: 58:[30, 82, 70], Operations: ['96-26=70']
Exploring Operation: 82-30=52, Resulting Numbers: [70, 52]
Generated Node #0,2,0: 58:[70, 52] Operation: 82-30=52
Exploring Operation: 82-70=12, Resulting Numbers: [30, 12]
Generated Node #0,2,1: 58:[30, 12] Operation: 82-70=12
Exploring Operation: 70-30=40, Resulting Numbers: [82, 40]
Generated Node #0,2,2: 58:[82, 40] Operation: 70-30=40
Exploring Operation: 30+82=112, Resulting Numbers: [70, 112]
Generated Node #0,2,3: 58:[70, 112] Operation: 30+82=112
Moving to Node #0,2,1
Current State: 58:[30, 12], Operations: ['96-26=70', '82-70=12']
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 30*12=360, Resulting Numbers: [360]
360,58 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[70, 52], Operations: ['96-26=70', '82-30=52']
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 70+52=122, Resulting Numbers: [122]
122,58 unequal: No Solution
Exploring Operation: 70*52=3640, Resulting Numbers: [3640]
3640,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[82, 40], Operations: ['96-26=70', '70-30=40']
Exploring Operation: 82*40=3280, Resulting Numbers: [3280]
3280,58 unequal: No Solution
Exploring Operation: 82+40=122, Resulting Numbers: [122]
122,58 unequal: No Solution
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Moving to Node #0,2,3
Current State: 58:[70, 112], Operations: ['96-26=70', '30+82=112']
Exploring Operation: 70+112=182, Resulting Numbers: [182]
182,58 unequal: No Solution
Exploring Operation: 70*112=7840, Resulting Numbers: [7840]
7840,58 unequal: No Solution
Exploring Operation: 112-70=42, Resulting Numbers: [42]
42,58 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 #0,3
Current State: 58:[30, 96, 56], Operations: ['82-26=56']
Exploring Operation: 96-30=66, Resulting Numbers: [56, 66]
Generated Node #0,3,0: 58:[56, 66] Operation: 96-30=66
Exploring Operation: 56-30=26, Resulting Numbers: [96, 26]
Generated Node #0,3,1: 58:[96, 26] Operation: 56-30=26
Exploring Operation: 30+56=86, Resulting Numbers: [96, 86]
Generated Node #0,3,2: 58:[96, 86] Operation: 30+56=86
Exploring Operation: 96-56=40, Resulting Numbers: [30, 40]
Generated Node #0,3,3: 58:[30, 40] Operation: 96-56=40
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 58:[56, 66], Operations: ['82-26=56', '96-30=66']
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 56+66=122, Resulting Numbers: [122]
122,58 unequal: No Solution
Exploring Operation: 56*66=3696, Resulting Numbers: [3696]
3696,58 unequal: No Solution
No 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: 58:[30, 40], Operations: ['82-26=56', '96-56=40']
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 30*40=1200, Resulting Numbers: [1200]
1200,58 unequal: No Solution
Exploring Operation: 30+40=70, Resulting Numbers: [70]
70,58 unequal: No Solution
No 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: 58:[96, 26], Operations: ['82-26=56', '56-30=26']
Exploring Operation: 96*26=2496, Resulting Numbers: [2496]
2496,58 unequal: No Solution
Exploring Operation: 96+26=122, Resulting Numbers: [122]
122,58 unequal: No Solution
Exploring Operation: 96-26=70, Resulting Numbers: [70]
70,58 unequal: No Solution
No 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: 58:[96, 86], Operations: ['82-26=56', '30+56=86']
Exploring Operation: 96+86=182, Resulting Numbers: [182]
182,58 unequal: No Solution
Exploring Operation: 96-86=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 96*86=8256, Resulting Numbers: [8256]
8256,58 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 |
[
20,
26,
28,
28
] | 35 | [
"26*28=728",
"728-28=700",
"700/20=35"
] | Current State: 35:[20, 26, 28, 28], Operations: []
Exploring Operation: 26*28=728, Resulting Numbers: [20, 728]
Generated Node #2: [20, 728] from Operation: 26*28=728
Current State: 35:[20, 728], Operations: ['26*28=728']
Exploring Operation: 728-28=700, Resulting Numbers: [20, 700]
Generated Node #3: [20, 700] from Operation: 728-28=700
Current State: 35:[20, 700], Operations: ['26*28=728', '728-28=700']
Exploring Operation: 700/20=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[20, 26, 28, 28], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [20, 28, 2]
Generated Node #0,0: 35:[20, 28, 2] Operation: 28-26=2
Exploring Operation: 28-20=8, Resulting Numbers: [26, 28, 8]
Generated Node #0,1: 35:[26, 28, 8] Operation: 28-20=8
Exploring Operation: 28-26=2, Resulting Numbers: [20, 28, 2]
Generated Node #0,2: 35:[20, 28, 2] Operation: 28-26=2
Exploring Operation: 26-20=6, Resulting Numbers: [28, 28, 6]
Generated Node #0,3: 35:[28, 28, 6] Operation: 26-20=6
Exploring Operation: 28-20=8, Resulting Numbers: [26, 28, 8]
Generated Node #0,4: 35:[26, 28, 8] Operation: 28-20=8
Moving to Node #0,3
Current State: 35:[28, 28, 6], Operations: ['26-20=6']
Exploring Operation: 28+6=34, Resulting Numbers: [28, 34]
Generated Node #0,3,0: 35:[28, 34] Operation: 28+6=34
Exploring Operation: 28+6=34, Resulting Numbers: [28, 34]
Generated Node #0,3,1: 35:[28, 34] Operation: 28+6=34
Exploring Operation: 28-28=0, Resulting Numbers: [6, 0]
Generated Node #0,3,2: 35:[6, 0] Operation: 28-28=0
Exploring Operation: 28/28=1, Resulting Numbers: [6, 1]
Generated Node #0,3,3: 35:[6, 1] Operation: 28/28=1
Exploring Operation: 28-6=22, Resulting Numbers: [28, 22]
Generated Node #0,3,4: 35:[28, 22] Operation: 28-6=22
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 35:[6, 1], Operations: ['26-20=6', '28/28=1']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 35:[6, 0], Operations: ['26-20=6', '28-28=0']
Exploring Operation: 6+0=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 6*0=0, Resulting Numbers: [0]
0,35 unequal: No Solution
Exploring Operation: 6-0=6, Resulting Numbers: [6]
6,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 35:[28, 34], Operations: ['26-20=6', '28+6=34']
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 28+34=62, Resulting Numbers: [62]
62,35 unequal: No Solution
Exploring Operation: 28*34=952, Resulting Numbers: [952]
952,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 35:[28, 34], Operations: ['26-20=6', '28+6=34']
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 28*34=952, Resulting Numbers: [952]
952,35 unequal: No Solution
Exploring Operation: 28+34=62, Resulting Numbers: [62]
62,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 35:[28, 22], Operations: ['26-20=6', '28-6=22']
Exploring Operation: 28*22=616, Resulting Numbers: [616]
616,35 unequal: No Solution
Exploring Operation: 28+22=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 35:[26, 28, 8], Operations: ['28-20=8']
Exploring Operation: 28+8=36, Resulting Numbers: [26, 36]
Generated Node #0,4,0: 35:[26, 36] Operation: 28+8=36
Exploring Operation: 28-26=2, Resulting Numbers: [8, 2]
Generated Node #0,4,1: 35:[8, 2] Operation: 28-26=2
Exploring Operation: 26-8=18, Resulting Numbers: [28, 18]
Generated Node #0,4,2: 35:[28, 18] Operation: 26-8=18
Exploring Operation: 26+8=34, Resulting Numbers: [28, 34]
Generated Node #0,4,3: 35:[28, 34] Operation: 26+8=34
Exploring Operation: 26+28=54, Resulting Numbers: [8, 54]
Generated Node #0,4,4: 35:[8, 54] Operation: 26+28=54
Moving to Node #0,1
Current State: 35:[26, 28, 8], Operations: ['28-20=8']
Exploring Operation: 28-26=2, Resulting Numbers: [8, 2]
Generated Node #0,1,0: 35:[8, 2] Operation: 28-26=2
Exploring Operation: 26-8=18, Resulting Numbers: [28, 18]
Generated Node #0,1,1: 35:[28, 18] Operation: 26-8=18
Exploring Operation: 26+28=54, Resulting Numbers: [8, 54]
Generated Node #0,1,2: 35:[8, 54] Operation: 26+28=54
Exploring Operation: 28+8=36, Resulting Numbers: [26, 36]
Generated Node #0,1,3: 35:[26, 36] Operation: 28+8=36
Exploring Operation: 26+8=34, Resulting Numbers: [28, 34]
Generated Node #0,1,4: 35:[28, 34] Operation: 26+8=34
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[8, 2], Operations: ['28-20=8', '28-26=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 35:[28, 34], Operations: ['28-20=8', '26+8=34']
Exploring Operation: 28*34=952, Resulting Numbers: [952]
952,35 unequal: No Solution
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 28+34=62, Resulting Numbers: [62]
62,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 35:[26, 36], Operations: ['28-20=8', '28+8=36']
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 26+36=62, Resulting Numbers: [62]
62,35 unequal: No Solution
Exploring Operation: 26*36=936, Resulting Numbers: [936]
936,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 35:[28, 18], Operations: ['28-20=8', '26-8=18']
Exploring Operation: 28*18=504, Resulting Numbers: [504]
504,35 unequal: No Solution
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 35:[8, 54], Operations: ['28-20=8', '26+28=54']
Exploring Operation: 8+54=62, Resulting Numbers: [62]
62,35 unequal: No Solution
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 8*54=432, Resulting Numbers: [432]
432,35 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: 35:[20, 28, 2], Operations: ['28-26=2']
Exploring Operation: 28-20=8, Resulting Numbers: [2, 8]
Generated Node #0,0,0: 35:[2, 8] Operation: 28-20=8
Exploring Operation: 20+28=48, Resulting Numbers: [2, 48]
Generated Node #0,0,1: 35:[2, 48] Operation: 20+28=48
Exploring Operation: 20/2=10, Resulting Numbers: [28, 10]
Generated Node #0,0,2: 35:[28, 10] Operation: 20/2=10
Exploring Operation: 20*2=40, Resulting Numbers: [28, 40]
Generated Node #0,0,3: 35:[28, 40] Operation: 20*2=40
Exploring Operation: 20-2=18, Resulting Numbers: [28, 18]
Generated Node #0,0,4: 35:[28, 18] Operation: 20-2=18
Moving to Node #0,2
Current State: 35:[20, 28, 2], Operations: ['28-26=2']
Exploring Operation: 20+28=48, Resulting Numbers: [2, 48]
Generated Node #0,2,0: 35:[2, 48] Operation: 20+28=48
Exploring Operation: 28-20=8, Resulting Numbers: [2, 8]
Generated Node #0,2,1: 35:[2, 8] Operation: 28-20=8
Exploring Operation: 20/2=10, Resulting Numbers: [28, 10]
Generated Node #0,2,2: 35:[28, 10] Operation: 20/2=10
Exploring Operation: 20-2=18, Resulting Numbers: [28, 18]
Generated Node #0,2,3: 35:[28, 18] Operation: 20-2=18
Exploring Operation: 20*2=40, Resulting Numbers: [28, 40]
Generated Node #0,2,4: 35:[28, 40] Operation: 20*2=40
Moving to Node #0,4,1
Current State: 35:[8, 2], Operations: ['28-20=8', '28-26=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[2, 8], Operations: ['28-26=2', '28-20=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[2, 8], Operations: ['28-26=2', '28-20=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Moving to Node #0,4,3
Current State: 35:[28, 34], Operations: ['28-20=8', '26+8=34']
Exploring Operation: 28*34=952, Resulting Numbers: [952]
952,35 unequal: No Solution
Exploring Operation: 28+34=62, Resulting Numbers: [62]
62,35 unequal: No Solution
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[28, 10], Operations: ['28-26=2', '20/2=10']
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,35 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Moving to Node #0,4,0
Current State: 35:[26, 36], Operations: ['28-20=8', '28+8=36']
Exploring Operation: 26*36=936, Resulting Numbers: [936]
936,35 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 26+36=62, Resulting Numbers: [62]
62,35 unequal: No Solution
Moving to Node #0,2,2
Current State: 35:[28, 10], Operations: ['28-26=2', '20/2=10']
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,35 unequal: No Solution
Moving to Node #0,0,3
Current State: 35:[28, 40], Operations: ['28-26=2', '20*2=40']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,35 unequal: No Solution
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,35 unequal: No Solution
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Moving to Node #0,2,4
Current State: 35:[28, 40], Operations: ['28-26=2', '20*2=40']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,35 unequal: No Solution
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[2, 48], Operations: ['28-26=2', '20+28=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,35 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[2, 48], Operations: ['28-26=2', '20+28=48']
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,35 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[28, 18], Operations: ['28-26=2', '20-2=18']
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 28*18=504, Resulting Numbers: [504]
504,35 unequal: No Solution
Moving to Node #0,0,4
Current State: 35:[28, 18], Operations: ['28-26=2', '20-2=18']
Exploring Operation: 28*18=504, Resulting Numbers: [504]
504,35 unequal: No Solution
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Moving to Node #0,4,2
Current State: 35:[28, 18], Operations: ['28-20=8', '26-8=18']
Exploring Operation: 28*18=504, Resulting Numbers: [504]
504,35 unequal: No Solution
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Moving to Node #0,4,4
Current State: 35:[8, 54], Operations: ['28-20=8', '26+28=54']
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 8+54=62, Resulting Numbers: [62]
62,35 unequal: No Solution
Exploring Operation: 8*54=432, Resulting Numbers: [432]
432,35 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
87,
32,
55,
92
] | 28 | [
"87+32=119",
"55+92=147",
"147-119=28"
] | Current State: 28:[87, 32, 55, 92], Operations: []
Exploring Operation: 87+32=119, Resulting Numbers: [55, 92, 119]
Generated Node #2: [55, 92, 119] from Operation: 87+32=119
Current State: 28:[55, 92, 119], Operations: ['87+32=119']
Exploring Operation: 55+92=147, Resulting Numbers: [119, 147]
Generated Node #3: [119, 147] from Operation: 55+92=147
Current State: 28:[119, 147], Operations: ['87+32=119', '55+92=147']
Exploring Operation: 147-119=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[87, 32, 55, 92], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [32, 55, 5]
Generated Node #0,0: 28:[32, 55, 5] Operation: 92-87=5
Exploring Operation: 87-55=32, Resulting Numbers: [32, 92, 32]
Generated Node #0,1: 28:[32, 92, 32] Operation: 87-55=32
Exploring Operation: 92-55=37, Resulting Numbers: [87, 32, 37]
Generated Node #0,2: 28:[87, 32, 37] Operation: 92-55=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[32, 55, 5], Operations: ['92-87=5']
Exploring Operation: 55/5=11, Resulting Numbers: [32, 11]
Generated Node #0,0,0: 28:[32, 11] Operation: 55/5=11
Exploring Operation: 55-32=23, Resulting Numbers: [5, 23]
Generated Node #0,0,1: 28:[5, 23] Operation: 55-32=23
Exploring Operation: 55-5=50, Resulting Numbers: [32, 50]
Generated Node #0,0,2: 28:[32, 50] Operation: 55-5=50
Moving to Node #0,0,1
Current State: 28:[5, 23], Operations: ['92-87=5', '55-32=23']
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,28 unequal: No Solution
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[87, 32, 55, 92], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [32, 55, 5]
Generated Node #0,0: 28:[32, 55, 5] Operation: 92-87=5
Moving to Node #0,0
Current State: 28:[32, 55, 5], Operations: ['92-87=5']
Exploring Operation: 55-32=23, Resulting Numbers: [5, 23]
Generated Node #0,0,1: 28:[5, 23] Operation: 55-32=23
Moving to Node #0,0,1
Current State: 28:[5, 23], Operations: ['92-87=5', '55-32=23']
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
96,
48,
78,
40
] | 40 | [
"96/48=2",
"78-40=38",
"2+38=40"
] | Current State: 40:[96, 48, 78, 40], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [78, 40, 2]
Generated Node #2: [78, 40, 2] from Operation: 96/48=2
Current State: 40:[78, 40, 2], Operations: ['96/48=2']
Exploring Operation: 78-40=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 78-40=38
Current State: 40:[2, 38], Operations: ['96/48=2', '78-40=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[96, 48, 78, 40], Operations: []
Exploring Operation: 96-40=56, Resulting Numbers: [48, 78, 56]
Generated Node #0,0: 40:[48, 78, 56] Operation: 96-40=56
Exploring Operation: 96/48=2, Resulting Numbers: [78, 40, 2]
Generated Node #0,1: 40:[78, 40, 2] Operation: 96/48=2
Exploring Operation: 78-48=30, Resulting Numbers: [96, 40, 30]
Generated Node #0,2: 40:[96, 40, 30] Operation: 78-48=30
Exploring Operation: 96-78=18, Resulting Numbers: [48, 40, 18]
Generated Node #0,3: 40:[48, 40, 18] Operation: 96-78=18
Exploring Operation: 96-48=48, Resulting Numbers: [78, 40, 48]
Generated Node #0,4: 40:[78, 40, 48] Operation: 96-48=48
Moving to Node #0,3
Current State: 40:[48, 40, 18], Operations: ['96-78=18']
Exploring Operation: 40-18=22, Resulting Numbers: [48, 22]
Generated Node #0,3,0: 40:[48, 22] Operation: 40-18=22
Exploring Operation: 40+18=58, Resulting Numbers: [48, 58]
Generated Node #0,3,1: 40:[48, 58] Operation: 40+18=58
Exploring Operation: 48-40=8, Resulting Numbers: [18, 8]
Generated Node #0,3,2: 40:[18, 8] Operation: 48-40=8
Exploring Operation: 48-18=30, Resulting Numbers: [40, 30]
Generated Node #0,3,3: 40:[40, 30] Operation: 48-18=30
Exploring Operation: 48+18=66, Resulting Numbers: [40, 66]
Generated Node #0,3,4: 40:[40, 66] Operation: 48+18=66
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 40:[18, 8], Operations: ['96-78=18', '48-40=8']
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 18*8=144, Resulting Numbers: [144]
144,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 40:[48, 22], Operations: ['96-78=18', '40-18=22']
Exploring Operation: 48+22=70, Resulting Numbers: [70]
70,40 unequal: No Solution
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Exploring Operation: 48*22=1056, Resulting Numbers: [1056]
1056,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 40:[40, 30], Operations: ['96-78=18', '48-18=30']
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 40*30=1200, Resulting Numbers: [1200]
1200,40 unequal: No Solution
Exploring Operation: 40+30=70, Resulting Numbers: [70]
70,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 40:[48, 58], Operations: ['96-78=18', '40+18=58']
Exploring Operation: 48*58=2784, Resulting Numbers: [2784]
2784,40 unequal: No Solution
Exploring Operation: 48+58=106, Resulting Numbers: [106]
106,40 unequal: No Solution
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 40:[40, 66], Operations: ['96-78=18', '48+18=66']
Exploring Operation: 66-40=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Exploring Operation: 40+66=106, Resulting Numbers: [106]
106,40 unequal: No Solution
Exploring Operation: 40*66=2640, Resulting Numbers: [2640]
2640,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 40:[78, 40, 2], Operations: ['96/48=2']
Exploring Operation: 78/2=39, Resulting Numbers: [40, 39]
Generated Node #0,1,0: 40:[40, 39] Operation: 78/2=39
Exploring Operation: 78+2=80, Resulting Numbers: [40, 80]
Generated Node #0,1,1: 40:[40, 80] Operation: 78+2=80
Exploring Operation: 78-2=76, Resulting Numbers: [40, 76]
Generated Node #0,1,2: 40:[40, 76] Operation: 78-2=76
Exploring Operation: 78-40=38, Resulting Numbers: [2, 38]
Generated Node #0,1,3: 40:[2, 38] Operation: 78-40=38
Exploring Operation: 40/2=20, Resulting Numbers: [78, 20]
Generated Node #0,1,4: 40:[78, 20] Operation: 40/2=20
Moving to Node #0,4
Current State: 40:[78, 40, 48], Operations: ['96-48=48']
Exploring Operation: 48-40=8, Resulting Numbers: [78, 8]
Generated Node #0,4,0: 40:[78, 8] Operation: 48-40=8
Exploring Operation: 78-48=30, Resulting Numbers: [40, 30]
Generated Node #0,4,1: 40:[40, 30] Operation: 78-48=30
Exploring Operation: 78+48=126, Resulting Numbers: [40, 126]
Generated Node #0,4,2: 40:[40, 126] Operation: 78+48=126
Exploring Operation: 78-40=38, Resulting Numbers: [48, 38]
Generated Node #0,4,3: 40:[48, 38] Operation: 78-40=38
Exploring Operation: 78+40=118, Resulting Numbers: [48, 118]
Generated Node #0,4,4: 40:[48, 118] Operation: 78+40=118
Moving to Node #0,0
Current State: 40:[48, 78, 56], Operations: ['96-40=56']
Exploring Operation: 78-56=22, Resulting Numbers: [48, 22]
Generated Node #0,0,0: 40:[48, 22] Operation: 78-56=22
Exploring Operation: 48+78=126, Resulting Numbers: [56, 126]
Generated Node #0,0,1: 40:[56, 126] Operation: 48+78=126
Exploring Operation: 48+56=104, Resulting Numbers: [78, 104]
Generated Node #0,0,2: 40:[78, 104] Operation: 48+56=104
Exploring Operation: 56-48=8, Resulting Numbers: [78, 8]
Generated Node #0,0,3: 40:[78, 8] Operation: 56-48=8
Exploring Operation: 78-48=30, Resulting Numbers: [56, 30]
Generated Node #0,0,4: 40:[56, 30] Operation: 78-48=30
Moving to Node #0,2
Current State: 40:[96, 40, 30], Operations: ['78-48=30']
Exploring Operation: 40-30=10, Resulting Numbers: [96, 10]
Generated Node #0,2,0: 40:[96, 10] Operation: 40-30=10
Exploring Operation: 40+30=70, Resulting Numbers: [96, 70]
Generated Node #0,2,1: 40:[96, 70] Operation: 40+30=70
Exploring Operation: 96-40=56, Resulting Numbers: [30, 56]
Generated Node #0,2,2: 40:[30, 56] Operation: 96-40=56
Exploring Operation: 96-30=66, Resulting Numbers: [40, 66]
Generated Node #0,2,3: 40:[40, 66] Operation: 96-30=66
Exploring Operation: 96+30=126, Resulting Numbers: [40, 126]
Generated Node #0,2,4: 40:[40, 126] Operation: 96+30=126
Moving to Node #0,1,0
Current State: 40:[40, 39], Operations: ['96/48=2', '78/2=39']
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,40 unequal: No Solution
Exploring Operation: 40*39=1560, Resulting Numbers: [1560]
1560,40 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Moving to Node #0,1,3
Current State: 40:[2, 38], Operations: ['96/48=2', '78-40=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,40 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[96, 48, 78, 40], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [78, 40, 2]
Generated Node #0,1: 40:[78, 40, 2] Operation: 96/48=2
Moving to Node #0,1
Current State: 40:[78, 40, 2], Operations: ['96/48=2']
Exploring Operation: 78-40=38, Resulting Numbers: [2, 38]
Generated Node #0,1,3: 40:[2, 38] Operation: 78-40=38
Moving to Node #0,1,3
Current State: 40:[2, 38], Operations: ['96/48=2', '78-40=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.952257 | hs_5 | sum_heuristic |
[
33,
52,
49,
7
] | 29 | [
"33+52=85",
"49+7=56",
"85-56=29"
] | Current State: 29:[33, 52, 49, 7], Operations: []
Exploring Operation: 33+52=85, Resulting Numbers: [49, 7, 85]
Generated Node #2: [49, 7, 85] from Operation: 33+52=85
Current State: 29:[49, 7, 85], Operations: ['33+52=85']
Exploring Operation: 49+7=56, Resulting Numbers: [85, 56]
Generated Node #3: [85, 56] from Operation: 49+7=56
Current State: 29:[85, 56], Operations: ['33+52=85', '49+7=56']
Exploring Operation: 85-56=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[33, 52, 49, 7], Operations: []
Exploring Operation: 49-7=42, Resulting Numbers: [33, 52, 42]
Generated Node #0,0: 29:[33, 52, 42] Operation: 49-7=42
Exploring Operation: 52-7=45, Resulting Numbers: [33, 49, 45]
Generated Node #0,1: 29:[33, 49, 45] Operation: 52-7=45
Exploring Operation: 33-7=26, Resulting Numbers: [52, 49, 26]
Generated Node #0,2: 29:[52, 49, 26] Operation: 33-7=26
Moving to Node #0,0
Current State: 29:[33, 52, 42], Operations: ['49-7=42']
Exploring Operation: 42-33=9, Resulting Numbers: [52, 9]
Generated Node #0,0,0: 29:[52, 9] Operation: 42-33=9
Exploring Operation: 52-33=19, Resulting Numbers: [42, 19]
Generated Node #0,0,1: 29:[42, 19] Operation: 52-33=19
Exploring Operation: 52-42=10, Resulting Numbers: [33, 10]
Generated Node #0,0,2: 29:[33, 10] Operation: 52-42=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[42, 19], Operations: ['49-7=42', '52-33=19']
Exploring Operation: 42*19=798, Resulting Numbers: [798]
798,29 unequal: No Solution
Exploring Operation: 42+19=61, Resulting Numbers: [61]
61,29 unequal: No Solution
Exploring Operation: 42-19=23, Resulting Numbers: [23]
23,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 29:[33, 10], Operations: ['49-7=42', '52-42=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,29 unequal: No Solution
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,29 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[52, 9], Operations: ['49-7=42', '42-33=9']
Exploring Operation: 52*9=468, Resulting Numbers: [468]
468,29 unequal: No Solution
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,29 unequal: No Solution
Exploring Operation: 52+9=61, Resulting Numbers: [61]
61,29 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: 29:[33, 49, 45], Operations: ['52-7=45']
Exploring Operation: 45-33=12, Resulting Numbers: [49, 12]
Generated Node #0,1,0: 29:[49, 12] Operation: 45-33=12
Exploring Operation: 49-45=4, Resulting Numbers: [33, 4]
Generated Node #0,1,1: 29:[33, 4] Operation: 49-45=4
Exploring Operation: 49-33=16, Resulting Numbers: [45, 16]
Generated Node #0,1,2: 29:[45, 16] Operation: 49-33=16
Moving to Node #0,2
Current State: 29:[52, 49, 26], Operations: ['33-7=26']
Exploring Operation: 52-49=3, Resulting Numbers: [26, 3]
Generated Node #0,2,0: 29:[26, 3] Operation: 52-49=3
Exploring Operation: 49-26=23, Resulting Numbers: [52, 23]
Generated Node #0,2,1: 29:[52, 23] Operation: 49-26=23
Exploring Operation: 52-26=26, Resulting Numbers: [49, 26]
Generated Node #0,2,2: 29:[49, 26] Operation: 52-26=26
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 29:[49, 26], Operations: ['33-7=26', '52-26=26']
Exploring Operation: 49*26=1274, Resulting Numbers: [1274]
1274,29 unequal: No Solution
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,29 unequal: No Solution
Exploring Operation: 49+26=75, Resulting Numbers: [75]
75,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[26, 3], Operations: ['33-7=26', '52-49=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,29 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,29 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[33, 52, 49, 7], Operations: []
Exploring Operation: 33-7=26, Resulting Numbers: [52, 49, 26]
Generated Node #0,2: 29:[52, 49, 26] Operation: 33-7=26
Moving to Node #0,2
Current State: 29:[52, 49, 26], Operations: ['33-7=26']
Exploring Operation: 52-49=3, Resulting Numbers: [26, 3]
Generated Node #0,2,0: 29:[26, 3] Operation: 52-49=3
Moving to Node #0,2,0
Current State: 29:[26, 3], Operations: ['33-7=26', '52-49=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_3 | mult_heuristic |
[
18,
2,
30,
3
] | 84 | [
"30+3=33",
"2*33=66",
"18+66=84"
] | Current State: 84:[18, 2, 30, 3], Operations: []
Exploring Operation: 30+3=33, Resulting Numbers: [18, 2, 33]
Generated Node #2: [18, 2, 33] from Operation: 30+3=33
Current State: 84:[18, 2, 33], Operations: ['30+3=33']
Exploring Operation: 2*33=66, Resulting Numbers: [18, 66]
Generated Node #3: [18, 66] from Operation: 2*33=66
Current State: 84:[18, 66], Operations: ['30+3=33', '2*33=66']
Exploring Operation: 18+66=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[18, 2, 30, 3], Operations: []
Exploring Operation: 18/3=6, Resulting Numbers: [2, 30, 6]
Generated Node #0,0: 84:[2, 30, 6] Operation: 18/3=6
Exploring Operation: 30-18=12, Resulting Numbers: [2, 3, 12]
Generated Node #0,1: 84:[2, 3, 12] Operation: 30-18=12
Exploring Operation: 18+3=21, Resulting Numbers: [2, 30, 21]
Generated Node #0,2: 84:[2, 30, 21] Operation: 18+3=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[2, 3, 12], Operations: ['30-18=12']
Exploring Operation: 2+12=14, Resulting Numbers: [3, 14]
Generated Node #0,1,0: 84:[3, 14] Operation: 2+12=14
Exploring Operation: 12/2=6, Resulting Numbers: [3, 6]
Generated Node #0,1,1: 84:[3, 6] Operation: 12/2=6
Exploring Operation: 2*3=6, Resulting Numbers: [12, 6]
Generated Node #0,1,2: 84:[12, 6] Operation: 2*3=6
Moving to Node #0,1,0
Current State: 84:[3, 14], Operations: ['30-18=12', '2+12=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,84 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[3, 6], Operations: ['30-18=12', '12/2=6']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[12, 6], Operations: ['30-18=12', '2*3=6']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[2, 30, 6], Operations: ['18/3=6']
Exploring Operation: 30/6=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 84:[2, 5] Operation: 30/6=5
Exploring Operation: 30/2=15, Resulting Numbers: [6, 15]
Generated Node #0,0,1: 84:[6, 15] Operation: 30/2=15
Exploring Operation: 30-2=28, Resulting Numbers: [6, 28]
Generated Node #0,0,2: 84:[6, 28] Operation: 30-2=28
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 84:[6, 28], Operations: ['18/3=6', '30-2=28']
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,84 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[2, 5], Operations: ['18/3=6', '30/6=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 84:[6, 15], Operations: ['18/3=6', '30/2=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,84 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[2, 30, 21], Operations: ['18+3=21']
Exploring Operation: 30/2=15, Resulting Numbers: [21, 15]
Generated Node #0,2,0: 84:[21, 15] Operation: 30/2=15
Exploring Operation: 30-2=28, Resulting Numbers: [21, 28]
Generated Node #0,2,1: 84:[21, 28] Operation: 30-2=28
Exploring Operation: 2*21=42, Resulting Numbers: [30, 42]
Generated Node #0,2,2: 84:[30, 42] Operation: 2*21=42
Moving to Node #0,2,1
Current State: 84:[21, 28], Operations: ['18+3=21', '30-2=28']
Exploring Operation: 21+28=49, Resulting Numbers: [49]
49,84 unequal: No Solution
Exploring Operation: 21*28=588, Resulting Numbers: [588]
588,84 unequal: No Solution
Exploring Operation: 28-21=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Moving to Node #0,2,0
Current State: 84:[21, 15], Operations: ['18+3=21', '30/2=15']
Exploring Operation: 21*15=315, Resulting Numbers: [315]
315,84 unequal: No Solution
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,84 unequal: No Solution
Moving to Node #0,2,2
Current State: 84:[30, 42], Operations: ['18+3=21', '2*21=42']
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 30*42=1260, Resulting Numbers: [1260]
1260,84 unequal: No Solution
Exploring Operation: 30+42=72, Resulting Numbers: [72]
72,84 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 |
[
32,
52,
30,
4
] | 46 | [
"52-32=20",
"30-4=26",
"20+26=46"
] | Current State: 46:[32, 52, 30, 4], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [30, 4, 20]
Generated Node #2: [30, 4, 20] from Operation: 52-32=20
Current State: 46:[30, 4, 20], Operations: ['52-32=20']
Exploring Operation: 30-4=26, Resulting Numbers: [20, 26]
Generated Node #3: [20, 26] from Operation: 30-4=26
Current State: 46:[20, 26], Operations: ['52-32=20', '30-4=26']
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[32, 52, 30, 4], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [52, 4, 2]
Generated Node #0,0: 46:[52, 4, 2] Operation: 32-30=2
Exploring Operation: 52-32=20, Resulting Numbers: [30, 4, 20]
Generated Node #0,1: 46:[30, 4, 20] Operation: 52-32=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[52, 4, 2], Operations: ['32-30=2']
Exploring Operation: 52/2=26, Resulting Numbers: [4, 26]
Generated Node #0,0,0: 46:[4, 26] Operation: 52/2=26
Exploring Operation: 52-4=48, Resulting Numbers: [2, 48]
Generated Node #0,0,1: 46:[2, 48] Operation: 52-4=48
Moving to Node #0,0,1
Current State: 46:[2, 48], Operations: ['32-30=2', '52-4=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[32, 52, 30, 4], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [52, 4, 2]
Generated Node #0,0: 46:[52, 4, 2] Operation: 32-30=2
Moving to Node #0,0
Current State: 46:[52, 4, 2], Operations: ['32-30=2']
Exploring Operation: 52-4=48, Resulting Numbers: [2, 48]
Generated Node #0,0,1: 46:[2, 48] Operation: 52-4=48
Moving to Node #0,0,1
Current State: 46:[2, 48], Operations: ['32-30=2', '52-4=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
15,
73,
28,
28
] | 59 | [
"73-15=58",
"28/28=1",
"58+1=59"
] | Current State: 59:[15, 73, 28, 28], Operations: []
Exploring Operation: 73-15=58, Resulting Numbers: [28, 28, 58]
Generated Node #2: [28, 28, 58] from Operation: 73-15=58
Current State: 59:[28, 28, 58], Operations: ['73-15=58']
Exploring Operation: 28/28=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 28/28=1
Current State: 59:[58, 1], Operations: ['73-15=58', '28/28=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[15, 73, 28, 28], Operations: []
Exploring Operation: 28+28=56, Resulting Numbers: [15, 73, 56]
Generated Node #0,0: 59:[15, 73, 56] Operation: 28+28=56
Exploring Operation: 15+28=43, Resulting Numbers: [73, 28, 43]
Generated Node #0,1: 59:[73, 28, 43] Operation: 15+28=43
Exploring Operation: 15+28=43, Resulting Numbers: [73, 28, 43]
Generated Node #0,2: 59:[73, 28, 43] Operation: 15+28=43
Moving to Node #0,0
Current State: 59:[15, 73, 56], Operations: ['28+28=56']
Exploring Operation: 15+56=71, Resulting Numbers: [73, 71]
Generated Node #0,0,0: 59:[73, 71] Operation: 15+56=71
Exploring Operation: 73-15=58, Resulting Numbers: [56, 58]
Generated Node #0,0,1: 59:[56, 58] Operation: 73-15=58
Exploring Operation: 15+73=88, Resulting Numbers: [56, 88]
Generated Node #0,0,2: 59:[56, 88] Operation: 15+73=88
Moving to Node #0,1
Current State: 59:[73, 28, 43], Operations: ['15+28=43']
Exploring Operation: 73-28=45, Resulting Numbers: [43, 45]
Generated Node #0,1,0: 59:[43, 45] Operation: 73-28=45
Exploring Operation: 28+43=71, Resulting Numbers: [73, 71]
Generated Node #0,1,1: 59:[73, 71] Operation: 28+43=71
Exploring Operation: 73+28=101, Resulting Numbers: [43, 101]
Generated Node #0,1,2: 59:[43, 101] Operation: 73+28=101
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[73, 71], Operations: ['15+28=43', '28+43=71']
Exploring Operation: 73-71=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 73+71=144, Resulting Numbers: [144]
144,59 unequal: No Solution
Exploring Operation: 73*71=5183, Resulting Numbers: [5183]
5183,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[43, 45], Operations: ['15+28=43', '73-28=45']
Exploring Operation: 45-43=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 43*45=1935, Resulting Numbers: [1935]
1935,59 unequal: No Solution
Exploring Operation: 43+45=88, Resulting Numbers: [88]
88,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[43, 101], Operations: ['15+28=43', '73+28=101']
Exploring Operation: 43*101=4343, Resulting Numbers: [4343]
4343,59 unequal: No Solution
Exploring Operation: 101-43=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 43+101=144, Resulting Numbers: [144]
144,59 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: 59:[73, 28, 43], Operations: ['15+28=43']
Exploring Operation: 28+43=71, Resulting Numbers: [73, 71]
Generated Node #0,2,0: 59:[73, 71] Operation: 28+43=71
Exploring Operation: 73+28=101, Resulting Numbers: [43, 101]
Generated Node #0,2,1: 59:[43, 101] Operation: 73+28=101
Exploring Operation: 73-28=45, Resulting Numbers: [43, 45]
Generated Node #0,2,2: 59:[43, 45] Operation: 73-28=45
Moving to Node #0,0,1
Current State: 59:[56, 58], Operations: ['28+28=56', '73-15=58']
Exploring Operation: 56*58=3248, Resulting Numbers: [3248]
3248,59 unequal: No Solution
Exploring Operation: 56+58=114, Resulting Numbers: [114]
114,59 unequal: No Solution
Exploring Operation: 58-56=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[73, 71], Operations: ['28+28=56', '15+56=71']
Exploring Operation: 73*71=5183, Resulting Numbers: [5183]
5183,59 unequal: No Solution
Exploring Operation: 73+71=144, Resulting Numbers: [144]
144,59 unequal: No Solution
Exploring Operation: 73-71=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[73, 71], Operations: ['15+28=43', '28+43=71']
Exploring Operation: 73-71=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 73+71=144, Resulting Numbers: [144]
144,59 unequal: No Solution
Exploring Operation: 73*71=5183, Resulting Numbers: [5183]
5183,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[43, 45], Operations: ['15+28=43', '73-28=45']
Exploring Operation: 43+45=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 45-43=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 43*45=1935, Resulting Numbers: [1935]
1935,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[56, 88], Operations: ['28+28=56', '15+73=88']
Exploring Operation: 56*88=4928, Resulting Numbers: [4928]
4928,59 unequal: No Solution
Exploring Operation: 56+88=144, Resulting Numbers: [144]
144,59 unequal: No Solution
Exploring Operation: 88-56=32, Resulting Numbers: [32]
32,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[43, 101], Operations: ['15+28=43', '73+28=101']
Exploring Operation: 43+101=144, Resulting Numbers: [144]
144,59 unequal: No Solution
Exploring Operation: 43*101=4343, Resulting Numbers: [4343]
4343,59 unequal: No Solution
Exploring Operation: 101-43=58, Resulting Numbers: [58]
58,59 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
4,
62,
54,
59
] | 62 | [
"4+54=58",
"59-58=1",
"62*1=62"
] | Current State: 62:[4, 62, 54, 59], Operations: []
Exploring Operation: 4+54=58, Resulting Numbers: [62, 59, 58]
Generated Node #2: [62, 59, 58] from Operation: 4+54=58
Current State: 62:[62, 59, 58], Operations: ['4+54=58']
Exploring Operation: 59-58=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 59-58=1
Current State: 62:[62, 1], Operations: ['4+54=58', '59-58=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[4, 62, 54, 59], Operations: []
Exploring Operation: 59-54=5, Resulting Numbers: [4, 62, 5]
Generated Node #0,0: 62:[4, 62, 5] Operation: 59-54=5
Exploring Operation: 4+59=63, Resulting Numbers: [62, 54, 63]
Generated Node #0,1: 62:[62, 54, 63] Operation: 4+59=63
Exploring Operation: 4+54=58, Resulting Numbers: [62, 59, 58]
Generated Node #0,2: 62:[62, 59, 58] Operation: 4+54=58
Moving to Node #0,0
Current State: 62:[4, 62, 5], Operations: ['59-54=5']
Exploring Operation: 62-4=58, Resulting Numbers: [5, 58]
Generated Node #0,0,0: 62:[5, 58] Operation: 62-4=58
Exploring Operation: 5-4=1, Resulting Numbers: [62, 1]
Generated Node #0,0,1: 62:[62, 1] Operation: 5-4=1
Exploring Operation: 4+62=66, Resulting Numbers: [5, 66]
Generated Node #0,0,2: 62:[5, 66] Operation: 4+62=66
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[62, 1], Operations: ['59-54=5', '5-4=1']
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[4, 62, 54, 59], Operations: []
Exploring Operation: 59-54=5, Resulting Numbers: [4, 62, 5]
Generated Node #0,0: 62:[4, 62, 5] Operation: 59-54=5
Moving to Node #0,0
Current State: 62:[4, 62, 5], Operations: ['59-54=5']
Exploring Operation: 5-4=1, Resulting Numbers: [62, 1]
Generated Node #0,0,1: 62:[62, 1] Operation: 5-4=1
Moving to Node #0,0,1
Current State: 62:[62, 1], Operations: ['59-54=5', '5-4=1']
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
8,
81,
64,
53
] | 44 | [
"81-8=73",
"64+53=117",
"117-73=44"
] | Current State: 44:[8, 81, 64, 53], Operations: []
Exploring Operation: 81-8=73, Resulting Numbers: [64, 53, 73]
Generated Node #2: [64, 53, 73] from Operation: 81-8=73
Current State: 44:[64, 53, 73], Operations: ['81-8=73']
Exploring Operation: 64+53=117, Resulting Numbers: [73, 117]
Generated Node #3: [73, 117] from Operation: 64+53=117
Current State: 44:[73, 117], Operations: ['81-8=73', '64+53=117']
Exploring Operation: 117-73=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[8, 81, 64, 53], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [8, 81, 11]
Generated Node #0,0: 44:[8, 81, 11] Operation: 64-53=11
Exploring Operation: 81-53=28, Resulting Numbers: [8, 64, 28]
Generated Node #0,1: 44:[8, 64, 28] Operation: 81-53=28
Exploring Operation: 81-64=17, Resulting Numbers: [8, 53, 17]
Generated Node #0,2: 44:[8, 53, 17] Operation: 81-64=17
Moving to Node #0,2
Current State: 44:[8, 53, 17], Operations: ['81-64=17']
Exploring Operation: 17-8=9, Resulting Numbers: [53, 9]
Generated Node #0,2,0: 44:[53, 9] Operation: 17-8=9
Exploring Operation: 53-17=36, Resulting Numbers: [8, 36]
Generated Node #0,2,1: 44:[8, 36] Operation: 53-17=36
Exploring Operation: 53-8=45, Resulting Numbers: [17, 45]
Generated Node #0,2,2: 44:[17, 45] Operation: 53-8=45
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 44:[17, 45], Operations: ['81-64=17', '53-8=45']
Exploring Operation: 17*45=765, Resulting Numbers: [765]
765,44 unequal: No Solution
Exploring Operation: 17+45=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 44:[53, 9], Operations: ['81-64=17', '17-8=9']
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 53*9=477, Resulting Numbers: [477]
477,44 unequal: No Solution
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[8, 81, 64, 53], Operations: []
Exploring Operation: 81-64=17, Resulting Numbers: [8, 53, 17]
Generated Node #0,2: 44:[8, 53, 17] Operation: 81-64=17
Moving to Node #0,2
Current State: 44:[8, 53, 17], Operations: ['81-64=17']
Exploring Operation: 17-8=9, Resulting Numbers: [53, 9]
Generated Node #0,2,0: 44:[53, 9] Operation: 17-8=9
Moving to Node #0,2,0
Current State: 44:[53, 9], Operations: ['81-64=17', '17-8=9']
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
7,
82,
73,
9
] | 54 | [
"7*9=63",
"82-73=9",
"63-9=54"
] | Current State: 54:[7, 82, 73, 9], Operations: []
Exploring Operation: 7*9=63, Resulting Numbers: [82, 73, 63]
Generated Node #2: [82, 73, 63] from Operation: 7*9=63
Current State: 54:[82, 73, 63], Operations: ['7*9=63']
Exploring Operation: 82-73=9, Resulting Numbers: [63, 9]
Generated Node #3: [63, 9] from Operation: 82-73=9
Current State: 54:[63, 9], Operations: ['7*9=63', '82-73=9']
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[7, 82, 73, 9], Operations: []
Exploring Operation: 82-7=75, Resulting Numbers: [73, 9, 75]
Generated Node #0,0: 54:[73, 9, 75] Operation: 82-7=75
Exploring Operation: 82-9=73, Resulting Numbers: [7, 73, 73]
Generated Node #0,1: 54:[7, 73, 73] Operation: 82-9=73
Exploring Operation: 82-73=9, Resulting Numbers: [7, 9, 9]
Generated Node #0,2: 54:[7, 9, 9] Operation: 82-73=9
Exploring Operation: 73-9=64, Resulting Numbers: [7, 82, 64]
Generated Node #0,3: 54:[7, 82, 64] Operation: 73-9=64
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[7, 9, 9], Operations: ['82-73=9']
Exploring Operation: 9-7=2, Resulting Numbers: [9, 2]
Generated Node #0,2,0: 54:[9, 2] Operation: 9-7=2
Exploring Operation: 7+9=16, Resulting Numbers: [9, 16]
Generated Node #0,2,1: 54:[9, 16] Operation: 7+9=16
Exploring Operation: 9-7=2, Resulting Numbers: [9, 2]
Generated Node #0,2,2: 54:[9, 2] Operation: 9-7=2
Exploring Operation: 9+9=18, Resulting Numbers: [7, 18]
Generated Node #0,2,3: 54:[7, 18] Operation: 9+9=18
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 54:[9, 2], Operations: ['82-73=9', '9-7=2']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,54 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 54:[9, 2], Operations: ['82-73=9', '9-7=2']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 54:[7, 18], Operations: ['82-73=9', '9+9=18']
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,54 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 54:[9, 16], Operations: ['82-73=9', '7+9=16']
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,54 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[7, 73, 73], Operations: ['82-9=73']
Exploring Operation: 73-73=0, Resulting Numbers: [7, 0]
Generated Node #0,1,0: 54:[7, 0] Operation: 73-73=0
Exploring Operation: 73-7=66, Resulting Numbers: [73, 66]
Generated Node #0,1,1: 54:[73, 66] Operation: 73-7=66
Exploring Operation: 73/73=1, Resulting Numbers: [7, 1]
Generated Node #0,1,2: 54:[7, 1] Operation: 73/73=1
Exploring Operation: 73-7=66, Resulting Numbers: [73, 66]
Generated Node #0,1,3: 54:[73, 66] Operation: 73-7=66
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 54:[7, 1], Operations: ['82-9=73', '73/73=1']
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 54:[7, 0], Operations: ['82-9=73', '73-73=0']
Exploring Operation: 7-0=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 7+0=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 7*0=0, Resulting Numbers: [0]
0,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 54:[73, 66], Operations: ['82-9=73', '73-7=66']
Exploring Operation: 73+66=139, Resulting Numbers: [139]
139,54 unequal: No Solution
Exploring Operation: 73*66=4818, Resulting Numbers: [4818]
4818,54 unequal: No Solution
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 54:[73, 66], Operations: ['82-9=73', '73-7=66']
Exploring Operation: 73*66=4818, Resulting Numbers: [4818]
4818,54 unequal: No Solution
Exploring Operation: 73+66=139, Resulting Numbers: [139]
139,54 unequal: No Solution
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 54:[7, 82, 64], Operations: ['73-9=64']
Exploring Operation: 7+82=89, Resulting Numbers: [64, 89]
Generated Node #0,3,0: 54:[64, 89] Operation: 7+82=89
Exploring Operation: 82-64=18, Resulting Numbers: [7, 18]
Generated Node #0,3,1: 54:[7, 18] Operation: 82-64=18
Exploring Operation: 82-7=75, Resulting Numbers: [64, 75]
Generated Node #0,3,2: 54:[64, 75] Operation: 82-7=75
Exploring Operation: 64-7=57, Resulting Numbers: [82, 57]
Generated Node #0,3,3: 54:[82, 57] Operation: 64-7=57
Moving to Node #0,3,1
Current State: 54:[7, 18], Operations: ['73-9=64', '82-64=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,54 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Moving to Node #0,3,3
Current State: 54:[82, 57], Operations: ['73-9=64', '64-7=57']
Exploring Operation: 82+57=139, Resulting Numbers: [139]
139,54 unequal: No Solution
Exploring Operation: 82*57=4674, Resulting Numbers: [4674]
4674,54 unequal: No Solution
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Moving to Node #0,3,2
Current State: 54:[64, 75], Operations: ['73-9=64', '82-7=75']
Exploring Operation: 64+75=139, Resulting Numbers: [139]
139,54 unequal: No Solution
Exploring Operation: 75-64=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 64*75=4800, Resulting Numbers: [4800]
4800,54 unequal: No Solution
Moving to Node #0,3,0
Current State: 54:[64, 89], Operations: ['73-9=64', '7+82=89']
Exploring Operation: 64+89=153, Resulting Numbers: [153]
153,54 unequal: No Solution
Exploring Operation: 64*89=5696, Resulting Numbers: [5696]
5696,54 unequal: No Solution
Exploring Operation: 89-64=25, Resulting Numbers: [25]
25,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[73, 9, 75], Operations: ['82-7=75']
Exploring Operation: 75-9=66, Resulting Numbers: [73, 66]
Generated Node #0,0,0: 54:[73, 66] Operation: 75-9=66
Exploring Operation: 75-73=2, Resulting Numbers: [9, 2]
Generated Node #0,0,1: 54:[9, 2] Operation: 75-73=2
Exploring Operation: 73-9=64, Resulting Numbers: [75, 64]
Generated Node #0,0,2: 54:[75, 64] Operation: 73-9=64
Exploring Operation: 73+9=82, Resulting Numbers: [75, 82]
Generated Node #0,0,3: 54:[75, 82] Operation: 73+9=82
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 54:[9, 2], Operations: ['82-7=75', '75-73=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,54 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[73, 66], Operations: ['82-7=75', '75-9=66']
Exploring Operation: 73+66=139, Resulting Numbers: [139]
139,54 unequal: No Solution
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 73*66=4818, Resulting Numbers: [4818]
4818,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 54:[75, 64], Operations: ['82-7=75', '73-9=64']
Exploring Operation: 75*64=4800, Resulting Numbers: [4800]
4800,54 unequal: No Solution
Exploring Operation: 75-64=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 75+64=139, Resulting Numbers: [139]
139,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 54:[75, 82], Operations: ['82-7=75', '73+9=82']
Exploring Operation: 75*82=6150, Resulting Numbers: [6150]
6150,54 unequal: No Solution
Exploring Operation: 82-75=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 75+82=157, Resulting Numbers: [157]
157,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
49,
20,
61,
11
] | 88 | [
"49+20=69",
"69-61=8",
"11*8=88"
] | Current State: 88:[49, 20, 61, 11], Operations: []
Exploring Operation: 49+20=69, Resulting Numbers: [61, 11, 69]
Generated Node #2: [61, 11, 69] from Operation: 49+20=69
Current State: 88:[61, 11, 69], Operations: ['49+20=69']
Exploring Operation: 69-61=8, Resulting Numbers: [11, 8]
Generated Node #3: [11, 8] from Operation: 69-61=8
Current State: 88:[11, 8], Operations: ['49+20=69', '69-61=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[49, 20, 61, 11], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [20, 11, 12]
Generated Node #0,0: 88:[20, 11, 12] Operation: 61-49=12
Exploring Operation: 61-20=41, Resulting Numbers: [49, 11, 41]
Generated Node #0,1: 88:[49, 11, 41] Operation: 61-20=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[20, 11, 12], Operations: ['61-49=12']
Exploring Operation: 20-12=8, Resulting Numbers: [11, 8]
Generated Node #0,0,0: 88:[11, 8] Operation: 20-12=8
Exploring Operation: 20-11=9, Resulting Numbers: [12, 9]
Generated Node #0,0,1: 88:[12, 9] Operation: 20-11=9
Moving to Node #0,0,0
Current State: 88:[11, 8], Operations: ['61-49=12', '20-12=8']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[49, 20, 61, 11], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [20, 11, 12]
Generated Node #0,0: 88:[20, 11, 12] Operation: 61-49=12
Moving to Node #0,0
Current State: 88:[20, 11, 12], Operations: ['61-49=12']
Exploring Operation: 20-12=8, Resulting Numbers: [11, 8]
Generated Node #0,0,0: 88:[11, 8] Operation: 20-12=8
Moving to Node #0,0,0
Current State: 88:[11, 8], Operations: ['61-49=12', '20-12=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
10,
42,
11,
93
] | 13 | [
"42-11=31",
"93/31=3",
"10+3=13"
] | Current State: 13:[10, 42, 11, 93], Operations: []
Exploring Operation: 42-11=31, Resulting Numbers: [10, 93, 31]
Generated Node #2: [10, 93, 31] from Operation: 42-11=31
Current State: 13:[10, 93, 31], Operations: ['42-11=31']
Exploring Operation: 93/31=3, Resulting Numbers: [10, 3]
Generated Node #3: [10, 3] from Operation: 93/31=3
Current State: 13:[10, 3], Operations: ['42-11=31', '93/31=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[10, 42, 11, 93], Operations: []
Exploring Operation: 42-10=32, Resulting Numbers: [11, 93, 32]
Generated Node #0,0: 13:[11, 93, 32] Operation: 42-10=32
Exploring Operation: 93-10=83, Resulting Numbers: [42, 11, 83]
Generated Node #0,1: 13:[42, 11, 83] Operation: 93-10=83
Exploring Operation: 93-42=51, Resulting Numbers: [10, 11, 51]
Generated Node #0,2: 13:[10, 11, 51] Operation: 93-42=51
Exploring Operation: 42-11=31, Resulting Numbers: [10, 93, 31]
Generated Node #0,3: 13:[10, 93, 31] Operation: 42-11=31
Moving to Node #0,2
Current State: 13:[10, 11, 51], Operations: ['93-42=51']
Exploring Operation: 10+11=21, Resulting Numbers: [51, 21]
Generated Node #0,2,0: 13:[51, 21] Operation: 10+11=21
Exploring Operation: 51-11=40, Resulting Numbers: [10, 40]
Generated Node #0,2,1: 13:[10, 40] Operation: 51-11=40
Exploring Operation: 51-10=41, Resulting Numbers: [11, 41]
Generated Node #0,2,2: 13:[11, 41] Operation: 51-10=41
Exploring Operation: 11-10=1, Resulting Numbers: [51, 1]
Generated Node #0,2,3: 13:[51, 1] Operation: 11-10=1
Moving to Node #0,1
Current State: 13:[42, 11, 83], Operations: ['93-10=83']
Exploring Operation: 42+11=53, Resulting Numbers: [83, 53]
Generated Node #0,1,0: 13:[83, 53] Operation: 42+11=53
Exploring Operation: 42-11=31, Resulting Numbers: [83, 31]
Generated Node #0,1,1: 13:[83, 31] Operation: 42-11=31
Exploring Operation: 83-11=72, Resulting Numbers: [42, 72]
Generated Node #0,1,2: 13:[42, 72] Operation: 83-11=72
Exploring Operation: 83-42=41, Resulting Numbers: [11, 41]
Generated Node #0,1,3: 13:[11, 41] Operation: 83-42=41
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 13:[11, 41], Operations: ['93-10=83', '83-42=41']
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,13 unequal: No Solution
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,13 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[83, 31], Operations: ['93-10=83', '42-11=31']
Exploring Operation: 83+31=114, Resulting Numbers: [114]
114,13 unequal: No Solution
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,13 unequal: No Solution
Exploring Operation: 83*31=2573, Resulting Numbers: [2573]
2573,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 13:[42, 72], Operations: ['93-10=83', '83-11=72']
Exploring Operation: 42*72=3024, Resulting Numbers: [3024]
3024,13 unequal: No Solution
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 42+72=114, Resulting Numbers: [114]
114,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[83, 53], Operations: ['93-10=83', '42+11=53']
Exploring Operation: 83+53=136, Resulting Numbers: [136]
136,13 unequal: No Solution
Exploring Operation: 83*53=4399, Resulting Numbers: [4399]
4399,13 unequal: No Solution
Exploring Operation: 83-53=30, Resulting Numbers: [30]
30,13 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: 13:[11, 93, 32], Operations: ['42-10=32']
Exploring Operation: 93-32=61, Resulting Numbers: [11, 61]
Generated Node #0,0,0: 13:[11, 61] Operation: 93-32=61
Exploring Operation: 93-11=82, Resulting Numbers: [32, 82]
Generated Node #0,0,1: 13:[32, 82] Operation: 93-11=82
Exploring Operation: 32-11=21, Resulting Numbers: [93, 21]
Generated Node #0,0,2: 13:[93, 21] Operation: 32-11=21
Exploring Operation: 11+93=104, Resulting Numbers: [32, 104]
Generated Node #0,0,3: 13:[32, 104] Operation: 11+93=104
Moving to Node #0,3
Current State: 13:[10, 93, 31], Operations: ['42-11=31']
Exploring Operation: 31-10=21, Resulting Numbers: [93, 21]
Generated Node #0,3,0: 13:[93, 21] Operation: 31-10=21
Exploring Operation: 93-31=62, Resulting Numbers: [10, 62]
Generated Node #0,3,1: 13:[10, 62] Operation: 93-31=62
Exploring Operation: 93-10=83, Resulting Numbers: [31, 83]
Generated Node #0,3,2: 13:[31, 83] Operation: 93-10=83
Exploring Operation: 93/31=3, Resulting Numbers: [10, 3]
Generated Node #0,3,3: 13:[10, 3] Operation: 93/31=3
Moving to Node #0,3,3
Current State: 13:[10, 3], Operations: ['42-11=31', '93/31=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[10, 42, 11, 93], Operations: []
Exploring Operation: 42-11=31, Resulting Numbers: [10, 93, 31]
Generated Node #0,3: 13:[10, 93, 31] Operation: 42-11=31
Moving to Node #0,3
Current State: 13:[10, 93, 31], Operations: ['42-11=31']
Exploring Operation: 93/31=3, Resulting Numbers: [10, 3]
Generated Node #0,3,3: 13:[10, 3] Operation: 93/31=3
Moving to Node #0,3,3
Current State: 13:[10, 3], Operations: ['42-11=31', '93/31=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 0.966146 | hs_4 | sum_heuristic |
[
57,
41,
95,
35
] | 44 | [
"57-41=16",
"95-35=60",
"60-16=44"
] | Current State: 44:[57, 41, 95, 35], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [95, 35, 16]
Generated Node #2: [95, 35, 16] from Operation: 57-41=16
Current State: 44:[95, 35, 16], Operations: ['57-41=16']
Exploring Operation: 95-35=60, Resulting Numbers: [16, 60]
Generated Node #3: [16, 60] from Operation: 95-35=60
Current State: 44:[16, 60], Operations: ['57-41=16', '95-35=60']
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[57, 41, 95, 35], Operations: []
Exploring Operation: 95-41=54, Resulting Numbers: [57, 35, 54]
Generated Node #0,0: 44:[57, 35, 54] Operation: 95-41=54
Exploring Operation: 57-35=22, Resulting Numbers: [41, 95, 22]
Generated Node #0,1: 44:[41, 95, 22] Operation: 57-35=22
Exploring Operation: 95-35=60, Resulting Numbers: [57, 41, 60]
Generated Node #0,2: 44:[57, 41, 60] Operation: 95-35=60
Exploring Operation: 57-41=16, Resulting Numbers: [95, 35, 16]
Generated Node #0,3: 44:[95, 35, 16] Operation: 57-41=16
Exploring Operation: 95-57=38, Resulting Numbers: [41, 35, 38]
Generated Node #0,4: 44:[41, 35, 38] Operation: 95-57=38
Moving to Node #0,4
Current State: 44:[41, 35, 38], Operations: ['95-57=38']
Exploring Operation: 41-35=6, Resulting Numbers: [38, 6]
Generated Node #0,4,0: 44:[38, 6] Operation: 41-35=6
Exploring Operation: 35+38=73, Resulting Numbers: [41, 73]
Generated Node #0,4,1: 44:[41, 73] Operation: 35+38=73
Exploring Operation: 41-38=3, Resulting Numbers: [35, 3]
Generated Node #0,4,2: 44:[35, 3] Operation: 41-38=3
Exploring Operation: 38-35=3, Resulting Numbers: [41, 3]
Generated Node #0,4,3: 44:[41, 3] Operation: 38-35=3
Exploring Operation: 41+35=76, Resulting Numbers: [38, 76]
Generated Node #0,4,4: 44:[38, 76] Operation: 41+35=76
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 44:[41, 3], Operations: ['95-57=38', '38-35=3']
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[57, 41, 95, 35], Operations: []
Exploring Operation: 95-57=38, Resulting Numbers: [41, 35, 38]
Generated Node #0,4: 44:[41, 35, 38] Operation: 95-57=38
Moving to Node #0,4
Current State: 44:[41, 35, 38], Operations: ['95-57=38']
Exploring Operation: 38-35=3, Resulting Numbers: [41, 3]
Generated Node #0,4,3: 44:[41, 3] Operation: 38-35=3
Moving to Node #0,4,3
Current State: 44:[41, 3], Operations: ['95-57=38', '38-35=3']
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
92,
28,
13,
60
] | 47 | [
"92+28=120",
"13+60=73",
"120-73=47"
] | Current State: 47:[92, 28, 13, 60], Operations: []
Exploring Operation: 92+28=120, Resulting Numbers: [13, 60, 120]
Generated Node #2: [13, 60, 120] from Operation: 92+28=120
Current State: 47:[13, 60, 120], Operations: ['92+28=120']
Exploring Operation: 13+60=73, Resulting Numbers: [120, 73]
Generated Node #3: [120, 73] from Operation: 13+60=73
Current State: 47:[120, 73], Operations: ['92+28=120', '13+60=73']
Exploring Operation: 120-73=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[92, 28, 13, 60], Operations: []
Exploring Operation: 92-28=64, Resulting Numbers: [13, 60, 64]
Generated Node #0,0: 47:[13, 60, 64] Operation: 92-28=64
Exploring Operation: 92-13=79, Resulting Numbers: [28, 60, 79]
Generated Node #0,1: 47:[28, 60, 79] Operation: 92-13=79
Exploring Operation: 28+13=41, Resulting Numbers: [92, 60, 41]
Generated Node #0,2: 47:[92, 60, 41] Operation: 28+13=41
Exploring Operation: 60-13=47, Resulting Numbers: [92, 28, 47]
Generated Node #0,3: 47:[92, 28, 47] Operation: 60-13=47
Moving to Node #0,0
Current State: 47:[13, 60, 64], Operations: ['92-28=64']
Exploring Operation: 13+60=73, Resulting Numbers: [64, 73]
Generated Node #0,0,0: 47:[64, 73] Operation: 13+60=73
Exploring Operation: 64-13=51, Resulting Numbers: [60, 51]
Generated Node #0,0,1: 47:[60, 51] Operation: 64-13=51
Exploring Operation: 60-13=47, Resulting Numbers: [64, 47]
Generated Node #0,0,2: 47:[64, 47] Operation: 60-13=47
Exploring Operation: 13+64=77, Resulting Numbers: [60, 77]
Generated Node #0,0,3: 47:[60, 77] Operation: 13+64=77
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[60, 51], Operations: ['92-28=64', '64-13=51']
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,47 unequal: No Solution
Exploring Operation: 60*51=3060, Resulting Numbers: [3060]
3060,47 unequal: No Solution
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[64, 47], Operations: ['92-28=64', '60-13=47']
Exploring Operation: 64*47=3008, Resulting Numbers: [3008]
3008,47 unequal: No Solution
Exploring Operation: 64+47=111, Resulting Numbers: [111]
111,47 unequal: No Solution
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,47 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:[64, 73], Operations: ['92-28=64', '13+60=73']
Exploring Operation: 64*73=4672, Resulting Numbers: [4672]
4672,47 unequal: No Solution
Exploring Operation: 64+73=137, Resulting Numbers: [137]
137,47 unequal: No Solution
Exploring Operation: 73-64=9, Resulting Numbers: [9]
9,47 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 #0,0,3
Current State: 47:[60, 77], Operations: ['92-28=64', '13+64=77']
Exploring Operation: 60*77=4620, Resulting Numbers: [4620]
4620,47 unequal: No Solution
Exploring Operation: 77-60=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 60+77=137, Resulting Numbers: [137]
137,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 47:[92, 60, 41], Operations: ['28+13=41']
Exploring Operation: 60-41=19, Resulting Numbers: [92, 19]
Generated Node #0,2,0: 47:[92, 19] Operation: 60-41=19
Exploring Operation: 92+41=133, Resulting Numbers: [60, 133]
Generated Node #0,2,1: 47:[60, 133] Operation: 92+41=133
Exploring Operation: 92-60=32, Resulting Numbers: [41, 32]
Generated Node #0,2,2: 47:[41, 32] Operation: 92-60=32
Exploring Operation: 92-41=51, Resulting Numbers: [60, 51]
Generated Node #0,2,3: 47:[60, 51] Operation: 92-41=51
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 47:[60, 51], Operations: ['28+13=41', '92-41=51']
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,47 unequal: No Solution
Exploring Operation: 60*51=3060, Resulting Numbers: [3060]
3060,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[41, 32], Operations: ['28+13=41', '92-60=32']
Exploring Operation: 41*32=1312, Resulting Numbers: [1312]
1312,47 unequal: No Solution
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[92, 19], Operations: ['28+13=41', '60-41=19']
Exploring Operation: 92*19=1748, Resulting Numbers: [1748]
1748,47 unequal: No Solution
Exploring Operation: 92+19=111, Resulting Numbers: [111]
111,47 unequal: No Solution
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[60, 133], Operations: ['28+13=41', '92+41=133']
Exploring Operation: 60+133=193, Resulting Numbers: [193]
193,47 unequal: No Solution
Exploring Operation: 60*133=7980, Resulting Numbers: [7980]
7980,47 unequal: No Solution
Exploring Operation: 133-60=73, Resulting Numbers: [73]
73,47 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:[28, 60, 79], Operations: ['92-13=79']
Exploring Operation: 28+60=88, Resulting Numbers: [79, 88]
Generated Node #0,1,0: 47:[79, 88] Operation: 28+60=88
Exploring Operation: 79-60=19, Resulting Numbers: [28, 19]
Generated Node #0,1,1: 47:[28, 19] Operation: 79-60=19
Exploring Operation: 60-28=32, Resulting Numbers: [79, 32]
Generated Node #0,1,2: 47:[79, 32] Operation: 60-28=32
Exploring Operation: 79-28=51, Resulting Numbers: [60, 51]
Generated Node #0,1,3: 47:[60, 51] Operation: 79-28=51
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 47:[60, 51], Operations: ['92-13=79', '79-28=51']
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 60*51=3060, Resulting Numbers: [3060]
3060,47 unequal: No Solution
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,47 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 #0,1,1
Current State: 47:[28, 19], Operations: ['92-13=79', '79-60=19']
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 28*19=532, Resulting Numbers: [532]
532,47 unequal: No Solution
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[92, 28, 13, 60], Operations: []
Exploring Operation: 92-13=79, Resulting Numbers: [28, 60, 79]
Generated Node #0,1: 47:[28, 60, 79] Operation: 92-13=79
Moving to Node #0,1
Current State: 47:[28, 60, 79], Operations: ['92-13=79']
Exploring Operation: 79-60=19, Resulting Numbers: [28, 19]
Generated Node #0,1,1: 47:[28, 19] Operation: 79-60=19
Moving to Node #0,1,1
Current State: 47:[28, 19], Operations: ['92-13=79', '79-60=19']
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.956597 | hs_4 | sum_heuristic |
[
73,
83,
73,
38
] | 83 | [
"73-73=0",
"38*0=0",
"83+0=83"
] | Current State: 83:[73, 83, 73, 38], Operations: []
Exploring Operation: 73-73=0, Resulting Numbers: [83, 38, 0]
Generated Node #2: [83, 38, 0] from Operation: 73-73=0
Current State: 83:[83, 38, 0], Operations: ['73-73=0']
Exploring Operation: 38*0=0, Resulting Numbers: [83, 0]
Generated Node #3: [83, 0] from Operation: 38*0=0
Current State: 83:[83, 0], Operations: ['73-73=0', '38*0=0']
Exploring Operation: 83+0=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[73, 83, 73, 38], Operations: []
Exploring Operation: 73+38=111, Resulting Numbers: [83, 73, 111]
Generated Node #0,0: 83:[83, 73, 111] Operation: 73+38=111
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[83, 73, 111], Operations: ['73+38=111']
Exploring Operation: 111-73=38, Resulting Numbers: [83, 38]
Generated Node #0,0,0: 83:[83, 38] Operation: 111-73=38
Moving to Node #0,0,0
Current State: 83:[83, 38], Operations: ['73+38=111', '111-73=38']
Exploring Operation: 83+38=121, Resulting Numbers: [121]
121,83 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 |
[
91,
18,
68,
47
] | 94 | [
"91-18=73",
"68-47=21",
"73+21=94"
] | Current State: 94:[91, 18, 68, 47], Operations: []
Exploring Operation: 91-18=73, Resulting Numbers: [68, 47, 73]
Generated Node #2: [68, 47, 73] from Operation: 91-18=73
Current State: 94:[68, 47, 73], Operations: ['91-18=73']
Exploring Operation: 68-47=21, Resulting Numbers: [73, 21]
Generated Node #3: [73, 21] from Operation: 68-47=21
Current State: 94:[73, 21], Operations: ['91-18=73', '68-47=21']
Exploring Operation: 73+21=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[91, 18, 68, 47], Operations: []
Exploring Operation: 68-18=50, Resulting Numbers: [91, 47, 50]
Generated Node #0,0: 94:[91, 47, 50] Operation: 68-18=50
Exploring Operation: 91+18=109, Resulting Numbers: [68, 47, 109]
Generated Node #0,1: 94:[68, 47, 109] Operation: 91+18=109
Exploring Operation: 18+68=86, Resulting Numbers: [91, 47, 86]
Generated Node #0,2: 94:[91, 47, 86] Operation: 18+68=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[91, 47, 50], Operations: ['68-18=50']
Exploring Operation: 91-47=44, Resulting Numbers: [50, 44]
Generated Node #0,0,0: 94:[50, 44] Operation: 91-47=44
Exploring Operation: 91-50=41, Resulting Numbers: [47, 41]
Generated Node #0,0,1: 94:[47, 41] Operation: 91-50=41
Exploring Operation: 50-47=3, Resulting Numbers: [91, 3]
Generated Node #0,0,2: 94:[91, 3] Operation: 50-47=3
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 94:[91, 3], Operations: ['68-18=50', '50-47=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,94 unequal: No Solution
Exploring Operation: 91*3=273, Resulting Numbers: [273]
273,94 unequal: No Solution
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[91, 18, 68, 47], Operations: []
Exploring Operation: 68-18=50, Resulting Numbers: [91, 47, 50]
Generated Node #0,0: 94:[91, 47, 50] Operation: 68-18=50
Moving to Node #0,0
Current State: 94:[91, 47, 50], Operations: ['68-18=50']
Exploring Operation: 50-47=3, Resulting Numbers: [91, 3]
Generated Node #0,0,2: 94:[91, 3] Operation: 50-47=3
Moving to Node #0,0,2
Current State: 94:[91, 3], Operations: ['68-18=50', '50-47=3']
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
93,
88,
78,
49
] | 54 | [
"93+88=181",
"78+49=127",
"181-127=54"
] | Current State: 54:[93, 88, 78, 49], Operations: []
Exploring Operation: 93+88=181, Resulting Numbers: [78, 49, 181]
Generated Node #2: [78, 49, 181] from Operation: 93+88=181
Current State: 54:[78, 49, 181], Operations: ['93+88=181']
Exploring Operation: 78+49=127, Resulting Numbers: [181, 127]
Generated Node #3: [181, 127] from Operation: 78+49=127
Current State: 54:[181, 127], Operations: ['93+88=181', '78+49=127']
Exploring Operation: 181-127=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[93, 88, 78, 49], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [88, 49, 15]
Generated Node #0,0: 54:[88, 49, 15] Operation: 93-78=15
Exploring Operation: 88-78=10, Resulting Numbers: [93, 49, 10]
Generated Node #0,1: 54:[93, 49, 10] Operation: 88-78=10
Exploring Operation: 93-88=5, Resulting Numbers: [78, 49, 5]
Generated Node #0,2: 54:[78, 49, 5] Operation: 93-88=5
Exploring Operation: 93-49=44, Resulting Numbers: [88, 78, 44]
Generated Node #0,3: 54:[88, 78, 44] Operation: 93-49=44
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[78, 49, 5], Operations: ['93-88=5']
Exploring Operation: 49+5=54, Resulting Numbers: [78, 54]
Generated Node #0,2,0: 54:[78, 54] Operation: 49+5=54
Exploring Operation: 78-49=29, Resulting Numbers: [5, 29]
Generated Node #0,2,1: 54:[5, 29] Operation: 78-49=29
Exploring Operation: 78-5=73, Resulting Numbers: [49, 73]
Generated Node #0,2,2: 54:[49, 73] Operation: 78-5=73
Exploring Operation: 78+5=83, Resulting Numbers: [49, 83]
Generated Node #0,2,3: 54:[49, 83] Operation: 78+5=83
Moving to Node #0,2,1
Current State: 54:[5, 29], Operations: ['93-88=5', '78-49=29']
Exploring Operation: 5*29=145, Resulting Numbers: [145]
145,54 unequal: No Solution
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Moving to Node #0,2,2
Current State: 54:[49, 73], Operations: ['93-88=5', '78-5=73']
Exploring Operation: 73-49=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 49+73=122, Resulting Numbers: [122]
122,54 unequal: No Solution
Exploring Operation: 49*73=3577, Resulting Numbers: [3577]
3577,54 unequal: No Solution
Moving to Node #0,2,0
Current State: 54:[78, 54], Operations: ['93-88=5', '49+5=54']
Exploring Operation: 78*54=4212, Resulting Numbers: [4212]
4212,54 unequal: No Solution
Exploring Operation: 78+54=132, Resulting Numbers: [132]
132,54 unequal: No Solution
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Moving to Node #0,2,3
Current State: 54:[49, 83], Operations: ['93-88=5', '78+5=83']
Exploring Operation: 49*83=4067, Resulting Numbers: [4067]
4067,54 unequal: No Solution
Exploring Operation: 83-49=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 49+83=132, Resulting Numbers: [132]
132,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[88, 49, 15], Operations: ['93-78=15']
Exploring Operation: 49-15=34, Resulting Numbers: [88, 34]
Generated Node #0,0,0: 54:[88, 34] Operation: 49-15=34
Exploring Operation: 88-15=73, Resulting Numbers: [49, 73]
Generated Node #0,0,1: 54:[49, 73] Operation: 88-15=73
Exploring Operation: 88-49=39, Resulting Numbers: [15, 39]
Generated Node #0,0,2: 54:[15, 39] Operation: 88-49=39
Exploring Operation: 49+15=64, Resulting Numbers: [88, 64]
Generated Node #0,0,3: 54:[88, 64] Operation: 49+15=64
Moving to Node #0,0,2
Current State: 54:[15, 39], Operations: ['93-78=15', '88-49=39']
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 15+39=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[93, 88, 78, 49], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [88, 49, 15]
Generated Node #0,0: 54:[88, 49, 15] Operation: 93-78=15
Moving to Node #0,0
Current State: 54:[88, 49, 15], Operations: ['93-78=15']
Exploring Operation: 88-49=39, Resulting Numbers: [15, 39]
Generated Node #0,0,2: 54:[15, 39] Operation: 88-49=39
Moving to Node #0,0,2
Current State: 54:[15, 39], Operations: ['93-78=15', '88-49=39']
Exploring Operation: 15+39=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
4,
57,
14,
76
] | 42 | [
"4*57=228",
"14*228=3192",
"3192/76=42"
] | Current State: 42:[4, 57, 14, 76], Operations: []
Exploring Operation: 4*57=228, Resulting Numbers: [14, 76, 228]
Generated Node #2: [14, 76, 228] from Operation: 4*57=228
Current State: 42:[14, 76, 228], Operations: ['4*57=228']
Exploring Operation: 14*228=3192, Resulting Numbers: [76, 3192]
Generated Node #3: [76, 3192] from Operation: 14*228=3192
Current State: 42:[76, 3192], Operations: ['4*57=228', '14*228=3192']
Exploring Operation: 3192/76=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[4, 57, 14, 76], Operations: []
Exploring Operation: 76/4=19, Resulting Numbers: [57, 14, 19]
Generated Node #0,0: 42:[57, 14, 19] Operation: 76/4=19
Exploring Operation: 57-4=53, Resulting Numbers: [14, 76, 53]
Generated Node #0,1: 42:[14, 76, 53] Operation: 57-4=53
Exploring Operation: 57-14=43, Resulting Numbers: [4, 76, 43]
Generated Node #0,2: 42:[4, 76, 43] Operation: 57-14=43
Exploring Operation: 76-57=19, Resulting Numbers: [4, 14, 19]
Generated Node #0,3: 42:[4, 14, 19] Operation: 76-57=19
Exploring Operation: 76-14=62, Resulting Numbers: [4, 57, 62]
Generated Node #0,4: 42:[4, 57, 62] Operation: 76-14=62
Moving to Node #0,3
Current State: 42:[4, 14, 19], Operations: ['76-57=19']
Exploring Operation: 4+19=23, Resulting Numbers: [14, 23]
Generated Node #0,3,0: 42:[14, 23] Operation: 4+19=23
Exploring Operation: 19-14=5, Resulting Numbers: [4, 5]
Generated Node #0,3,1: 42:[4, 5] Operation: 19-14=5
Exploring Operation: 4+14=18, Resulting Numbers: [19, 18]
Generated Node #0,3,2: 42:[19, 18] Operation: 4+14=18
Exploring Operation: 19-4=15, Resulting Numbers: [14, 15]
Generated Node #0,3,3: 42:[14, 15] Operation: 19-4=15
Exploring Operation: 14-4=10, Resulting Numbers: [19, 10]
Generated Node #0,3,4: 42:[19, 10] Operation: 14-4=10
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 42:[14, 15], Operations: ['76-57=19', '19-4=15']
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 14*15=210, Resulting Numbers: [210]
210,42 unequal: No Solution
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 42:[14, 23], Operations: ['76-57=19', '4+19=23']
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,42 unequal: No Solution
Exploring Operation: 14*23=322, Resulting Numbers: [322]
322,42 unequal: No Solution
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 42:[4, 5], Operations: ['76-57=19', '19-14=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,42 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 42:[19, 18], Operations: ['76-57=19', '4+14=18']
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,42 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 42:[19, 10], Operations: ['76-57=19', '14-4=10']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,42 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 42:[57, 14, 19], Operations: ['76/4=19']
Exploring Operation: 57-19=38, Resulting Numbers: [14, 38]
Generated Node #0,0,0: 42:[14, 38] Operation: 57-19=38
Exploring Operation: 57/19=3, Resulting Numbers: [14, 3]
Generated Node #0,0,1: 42:[14, 3] Operation: 57/19=3
Exploring Operation: 14+19=33, Resulting Numbers: [57, 33]
Generated Node #0,0,2: 42:[57, 33] Operation: 14+19=33
Exploring Operation: 19-14=5, Resulting Numbers: [57, 5]
Generated Node #0,0,3: 42:[57, 5] Operation: 19-14=5
Exploring Operation: 57-14=43, Resulting Numbers: [19, 43]
Generated Node #0,0,4: 42:[19, 43] Operation: 57-14=43
Moving to Node #0,2
Current State: 42:[4, 76, 43], Operations: ['57-14=43']
Exploring Operation: 43-4=39, Resulting Numbers: [76, 39]
Generated Node #0,2,0: 42:[76, 39] Operation: 43-4=39
Exploring Operation: 76/4=19, Resulting Numbers: [43, 19]
Generated Node #0,2,1: 42:[43, 19] Operation: 76/4=19
Exploring Operation: 76-43=33, Resulting Numbers: [4, 33]
Generated Node #0,2,2: 42:[4, 33] Operation: 76-43=33
Exploring Operation: 76-4=72, Resulting Numbers: [43, 72]
Generated Node #0,2,3: 42:[43, 72] Operation: 76-4=72
Exploring Operation: 4+76=80, Resulting Numbers: [43, 80]
Generated Node #0,2,4: 42:[43, 80] Operation: 4+76=80
Moving to Node #0,4
Current State: 42:[4, 57, 62], Operations: ['76-14=62']
Exploring Operation: 62-4=58, Resulting Numbers: [57, 58]
Generated Node #0,4,0: 42:[57, 58] Operation: 62-4=58
Exploring Operation: 4+62=66, Resulting Numbers: [57, 66]
Generated Node #0,4,1: 42:[57, 66] Operation: 4+62=66
Exploring Operation: 62-57=5, Resulting Numbers: [4, 5]
Generated Node #0,4,2: 42:[4, 5] Operation: 62-57=5
Exploring Operation: 4+57=61, Resulting Numbers: [62, 61]
Generated Node #0,4,3: 42:[62, 61] Operation: 4+57=61
Exploring Operation: 57-4=53, Resulting Numbers: [62, 53]
Generated Node #0,4,4: 42:[62, 53] Operation: 57-4=53
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 42:[4, 5], Operations: ['76-14=62', '62-57=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,42 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,42 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 42:[57, 58], Operations: ['76-14=62', '62-4=58']
Exploring Operation: 58-57=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 57+58=115, Resulting Numbers: [115]
115,42 unequal: No Solution
Exploring Operation: 57*58=3306, Resulting Numbers: [3306]
3306,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 42:[62, 53], Operations: ['76-14=62', '57-4=53']
Exploring Operation: 62+53=115, Resulting Numbers: [115]
115,42 unequal: No Solution
Exploring Operation: 62-53=9, Resulting Numbers: [9]
9,42 unequal: No Solution
Exploring Operation: 62*53=3286, Resulting Numbers: [3286]
3286,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 42:[57, 66], Operations: ['76-14=62', '4+62=66']
Exploring Operation: 57+66=123, Resulting Numbers: [123]
123,42 unequal: No Solution
Exploring Operation: 66-57=9, Resulting Numbers: [9]
9,42 unequal: No Solution
Exploring Operation: 57*66=3762, Resulting Numbers: [3762]
3762,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 42:[62, 61], Operations: ['76-14=62', '4+57=61']
Exploring Operation: 62+61=123, Resulting Numbers: [123]
123,42 unequal: No Solution
Exploring Operation: 62-61=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 62*61=3782, Resulting Numbers: [3782]
3782,42 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: 42:[14, 76, 53], Operations: ['57-4=53']
Exploring Operation: 14+76=90, Resulting Numbers: [53, 90]
Generated Node #0,1,0: 42:[53, 90] Operation: 14+76=90
Exploring Operation: 53-14=39, Resulting Numbers: [76, 39]
Generated Node #0,1,1: 42:[76, 39] Operation: 53-14=39
Exploring Operation: 14+53=67, Resulting Numbers: [76, 67]
Generated Node #0,1,2: 42:[76, 67] Operation: 14+53=67
Exploring Operation: 76-14=62, Resulting Numbers: [53, 62]
Generated Node #0,1,3: 42:[53, 62] Operation: 76-14=62
Exploring Operation: 76-53=23, Resulting Numbers: [14, 23]
Generated Node #0,1,4: 42:[14, 23] Operation: 76-53=23
Moving to Node #0,0,1
Current State: 42:[14, 3], Operations: ['76/4=19', '57/19=3']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,42 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[4, 57, 14, 76], Operations: []
Exploring Operation: 76/4=19, Resulting Numbers: [57, 14, 19]
Generated Node #0,0: 42:[57, 14, 19] Operation: 76/4=19
Moving to Node #0,0
Current State: 42:[57, 14, 19], Operations: ['76/4=19']
Exploring Operation: 57/19=3, Resulting Numbers: [14, 3]
Generated Node #0,0,1: 42:[14, 3] Operation: 57/19=3
Moving to Node #0,0,1
Current State: 42:[14, 3], Operations: ['76/4=19', '57/19=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.94184 | hs_5 | sum_heuristic |
[
6,
3,
17,
73
] | 80 | [
"6+3=9",
"17*9=153",
"153-73=80"
] | Current State: 80:[6, 3, 17, 73], Operations: []
Exploring Operation: 6+3=9, Resulting Numbers: [17, 73, 9]
Generated Node #2: [17, 73, 9] from Operation: 6+3=9
Current State: 80:[17, 73, 9], Operations: ['6+3=9']
Exploring Operation: 17*9=153, Resulting Numbers: [73, 153]
Generated Node #3: [73, 153] from Operation: 17*9=153
Current State: 80:[73, 153], Operations: ['6+3=9', '17*9=153']
Exploring Operation: 153-73=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[6, 3, 17, 73], Operations: []
Exploring Operation: 3+73=76, Resulting Numbers: [6, 17, 76]
Generated Node #0,0: 80:[6, 17, 76] Operation: 3+73=76
Exploring Operation: 6+73=79, Resulting Numbers: [3, 17, 79]
Generated Node #0,1: 80:[3, 17, 79] Operation: 6+73=79
Exploring Operation: 6/3=2, Resulting Numbers: [17, 73, 2]
Generated Node #0,2: 80:[17, 73, 2] Operation: 6/3=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[3, 17, 79], Operations: ['6+73=79']
Exploring Operation: 3+79=82, Resulting Numbers: [17, 82]
Generated Node #0,1,0: 80:[17, 82] Operation: 3+79=82
Exploring Operation: 3+17=20, Resulting Numbers: [79, 20]
Generated Node #0,1,1: 80:[79, 20] Operation: 3+17=20
Exploring Operation: 17-3=14, Resulting Numbers: [79, 14]
Generated Node #0,1,2: 80:[79, 14] Operation: 17-3=14
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 80:[79, 20], Operations: ['6+73=79', '3+17=20']
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,80 unequal: No Solution
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,80 unequal: No Solution
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 80:[17, 82], Operations: ['6+73=79', '3+79=82']
Exploring Operation: 17+82=99, Resulting Numbers: [99]
99,80 unequal: No Solution
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,80 unequal: No Solution
Exploring Operation: 17*82=1394, Resulting Numbers: [1394]
1394,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 80:[79, 14], Operations: ['6+73=79', '17-3=14']
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,80 unequal: No Solution
Exploring Operation: 79+14=93, Resulting Numbers: [93]
93,80 unequal: No Solution
Exploring Operation: 79*14=1106, Resulting Numbers: [1106]
1106,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[6, 17, 76], Operations: ['3+73=76']
Exploring Operation: 6+76=82, Resulting Numbers: [17, 82]
Generated Node #0,0,0: 80:[17, 82] Operation: 6+76=82
Exploring Operation: 17-6=11, Resulting Numbers: [76, 11]
Generated Node #0,0,1: 80:[76, 11] Operation: 17-6=11
Exploring Operation: 6+17=23, Resulting Numbers: [76, 23]
Generated Node #0,0,2: 80:[76, 23] Operation: 6+17=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 80:[17, 82], Operations: ['3+73=76', '6+76=82']
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,80 unequal: No Solution
Exploring Operation: 17+82=99, Resulting Numbers: [99]
99,80 unequal: No Solution
Exploring Operation: 17*82=1394, Resulting Numbers: [1394]
1394,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 80:[76, 11], Operations: ['3+73=76', '17-6=11']
Exploring Operation: 76*11=836, Resulting Numbers: [836]
836,80 unequal: No Solution
Exploring Operation: 76-11=65, Resulting Numbers: [65]
65,80 unequal: No Solution
Exploring Operation: 76+11=87, Resulting Numbers: [87]
87,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 80:[76, 23], Operations: ['3+73=76', '6+17=23']
Exploring Operation: 76*23=1748, Resulting Numbers: [1748]
1748,80 unequal: No Solution
Exploring Operation: 76-23=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 76+23=99, Resulting Numbers: [99]
99,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[17, 73, 2], Operations: ['6/3=2']
Exploring Operation: 73+2=75, Resulting Numbers: [17, 75]
Generated Node #0,2,0: 80:[17, 75] Operation: 73+2=75
Exploring Operation: 17+2=19, Resulting Numbers: [73, 19]
Generated Node #0,2,1: 80:[73, 19] Operation: 17+2=19
Exploring Operation: 17-2=15, Resulting Numbers: [73, 15]
Generated Node #0,2,2: 80:[73, 15] Operation: 17-2=15
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 80:[17, 75], Operations: ['6/3=2', '73+2=75']
Exploring Operation: 17+75=92, Resulting Numbers: [92]
92,80 unequal: No Solution
Exploring Operation: 75-17=58, Resulting Numbers: [58]
58,80 unequal: No Solution
Exploring Operation: 17*75=1275, Resulting Numbers: [1275]
1275,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 80:[73, 19], Operations: ['6/3=2', '17+2=19']
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,80 unequal: No Solution
Exploring Operation: 73*19=1387, Resulting Numbers: [1387]
1387,80 unequal: No Solution
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 80:[73, 15], Operations: ['6/3=2', '17-2=15']
Exploring Operation: 73*15=1095, Resulting Numbers: [1095]
1095,80 unequal: No Solution
Exploring Operation: 73-15=58, Resulting Numbers: [58]
58,80 unequal: No Solution
Exploring Operation: 73+15=88, Resulting Numbers: [88]
88,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
11,
40,
8,
30
] | 22 | [
"40-8=32",
"32-30=2",
"11*2=22"
] | Current State: 22:[11, 40, 8, 30], Operations: []
Exploring Operation: 40-8=32, Resulting Numbers: [11, 30, 32]
Generated Node #2: [11, 30, 32] from Operation: 40-8=32
Current State: 22:[11, 30, 32], Operations: ['40-8=32']
Exploring Operation: 32-30=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 32-30=2
Current State: 22:[11, 2], Operations: ['40-8=32', '32-30=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[11, 40, 8, 30], Operations: []
Exploring Operation: 40-30=10, Resulting Numbers: [11, 8, 10]
Generated Node #0,0: 22:[11, 8, 10] Operation: 40-30=10
Exploring Operation: 40/8=5, Resulting Numbers: [11, 30, 5]
Generated Node #0,1: 22:[11, 30, 5] Operation: 40/8=5
Exploring Operation: 40-11=29, Resulting Numbers: [8, 30, 29]
Generated Node #0,2: 22:[8, 30, 29] Operation: 40-11=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[11, 8, 10], Operations: ['40-30=10']
Exploring Operation: 11+8=19, Resulting Numbers: [10, 19]
Generated Node #0,0,0: 22:[10, 19] Operation: 11+8=19
Exploring Operation: 10-8=2, Resulting Numbers: [11, 2]
Generated Node #0,0,1: 22:[11, 2] Operation: 10-8=2
Exploring Operation: 11-8=3, Resulting Numbers: [10, 3]
Generated Node #0,0,2: 22:[10, 3] Operation: 11-8=3
Moving to Node #0,0,1
Current State: 22:[11, 2], Operations: ['40-30=10', '10-8=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,22 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[11, 40, 8, 30], Operations: []
Exploring Operation: 40-30=10, Resulting Numbers: [11, 8, 10]
Generated Node #0,0: 22:[11, 8, 10] Operation: 40-30=10
Moving to Node #0,0
Current State: 22:[11, 8, 10], Operations: ['40-30=10']
Exploring Operation: 10-8=2, Resulting Numbers: [11, 2]
Generated Node #0,0,1: 22:[11, 2] Operation: 10-8=2
Moving to Node #0,0,1
Current State: 22:[11, 2], Operations: ['40-30=10', '10-8=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
78,
88,
31,
5
] | 26 | [
"88-78=10",
"31+5=36",
"36-10=26"
] | Current State: 26:[78, 88, 31, 5], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [31, 5, 10]
Generated Node #2: [31, 5, 10] from Operation: 88-78=10
Current State: 26:[31, 5, 10], Operations: ['88-78=10']
Exploring Operation: 31+5=36, Resulting Numbers: [10, 36]
Generated Node #3: [10, 36] from Operation: 31+5=36
Current State: 26:[10, 36], Operations: ['88-78=10', '31+5=36']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[78, 88, 31, 5], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [31, 5, 10]
Generated Node #0,0: 26:[31, 5, 10] Operation: 88-78=10
Moving to Node #0,0
Current State: 26:[31, 5, 10], Operations: ['88-78=10']
Exploring Operation: 31-5=26, Resulting Numbers: [10, 26]
Generated Node #0,0,0: 26:[10, 26] Operation: 31-5=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[10, 26], Operations: ['88-78=10', '31-5=26']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,26 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 |
[
31,
50,
51,
98
] | 34 | [
"31+50=81",
"98-51=47",
"81-47=34"
] | Current State: 34:[31, 50, 51, 98], Operations: []
Exploring Operation: 31+50=81, Resulting Numbers: [51, 98, 81]
Generated Node #2: [51, 98, 81] from Operation: 31+50=81
Current State: 34:[51, 98, 81], Operations: ['31+50=81']
Exploring Operation: 98-51=47, Resulting Numbers: [81, 47]
Generated Node #3: [81, 47] from Operation: 98-51=47
Current State: 34:[81, 47], Operations: ['31+50=81', '98-51=47']
Exploring Operation: 81-47=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[31, 50, 51, 98], Operations: []
Exploring Operation: 98-50=48, Resulting Numbers: [31, 51, 48]
Generated Node #0,0: 34:[31, 51, 48] Operation: 98-50=48
Exploring Operation: 98-51=47, Resulting Numbers: [31, 50, 47]
Generated Node #0,1: 34:[31, 50, 47] Operation: 98-51=47
Moving to Node #0,1
Current State: 34:[31, 50, 47], Operations: ['98-51=47']
Exploring Operation: 50-47=3, Resulting Numbers: [31, 3]
Generated Node #0,1,0: 34:[31, 3] Operation: 50-47=3
Exploring Operation: 50-31=19, Resulting Numbers: [47, 19]
Generated Node #0,1,1: 34:[47, 19] Operation: 50-31=19
Moving to Node #0,0
Current State: 34:[31, 51, 48], Operations: ['98-50=48']
Exploring Operation: 51-31=20, Resulting Numbers: [48, 20]
Generated Node #0,0,0: 34:[48, 20] Operation: 51-31=20
Exploring Operation: 51-48=3, Resulting Numbers: [31, 3]
Generated Node #0,0,1: 34:[31, 3] Operation: 51-48=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 34:[31, 3], Operations: ['98-50=48', '51-48=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[31, 50, 51, 98], Operations: []
Exploring Operation: 98-50=48, Resulting Numbers: [31, 51, 48]
Generated Node #0,0: 34:[31, 51, 48] Operation: 98-50=48
Moving to Node #0,0
Current State: 34:[31, 51, 48], Operations: ['98-50=48']
Exploring Operation: 51-48=3, Resulting Numbers: [31, 3]
Generated Node #0,0,1: 34:[31, 3] Operation: 51-48=3
Moving to Node #0,0,1
Current State: 34:[31, 3], Operations: ['98-50=48', '51-48=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
77,
53,
19,
99
] | 94 | [
"77-53=24",
"19+99=118",
"118-24=94"
] | Current State: 94:[77, 53, 19, 99], Operations: []
Exploring Operation: 77-53=24, Resulting Numbers: [19, 99, 24]
Generated Node #2: [19, 99, 24] from Operation: 77-53=24
Current State: 94:[19, 99, 24], Operations: ['77-53=24']
Exploring Operation: 19+99=118, Resulting Numbers: [24, 118]
Generated Node #3: [24, 118] from Operation: 19+99=118
Current State: 94:[24, 118], Operations: ['77-53=24', '19+99=118']
Exploring Operation: 118-24=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[77, 53, 19, 99], Operations: []
Exploring Operation: 77-19=58, Resulting Numbers: [53, 99, 58]
Generated Node #0,0: 94:[53, 99, 58] Operation: 77-19=58
Exploring Operation: 77+19=96, Resulting Numbers: [53, 99, 96]
Generated Node #0,1: 94:[53, 99, 96] Operation: 77+19=96
Exploring Operation: 99-53=46, Resulting Numbers: [77, 19, 46]
Generated Node #0,2: 94:[77, 19, 46] Operation: 99-53=46
Exploring Operation: 53-19=34, Resulting Numbers: [77, 99, 34]
Generated Node #0,3: 94:[77, 99, 34] Operation: 53-19=34
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[53, 99, 96], Operations: ['77+19=96']
Exploring Operation: 96-53=43, Resulting Numbers: [99, 43]
Generated Node #0,1,0: 94:[99, 43] Operation: 96-53=43
Exploring Operation: 53+99=152, Resulting Numbers: [96, 152]
Generated Node #0,1,1: 94:[96, 152] Operation: 53+99=152
Exploring Operation: 99-96=3, Resulting Numbers: [53, 3]
Generated Node #0,1,2: 94:[53, 3] Operation: 99-96=3
Exploring Operation: 99-53=46, Resulting Numbers: [96, 46]
Generated Node #0,1,3: 94:[96, 46] Operation: 99-53=46
Moving to Node #0,1,3
Current State: 94:[96, 46], Operations: ['77+19=96', '99-53=46']
Exploring Operation: 96+46=142, Resulting Numbers: [142]
142,94 unequal: No Solution
Exploring Operation: 96*46=4416, Resulting Numbers: [4416]
4416,94 unequal: No Solution
Exploring Operation: 96-46=50, Resulting Numbers: [50]
50,94 unequal: No Solution
Moving to Node #0,1,2
Current State: 94:[53, 3], Operations: ['77+19=96', '99-96=3']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,94 unequal: No Solution
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,94 unequal: No Solution
Exploring Operation: 53*3=159, Resulting Numbers: [159]
159,94 unequal: No Solution
Moving to Node #0,1,0
Current State: 94:[99, 43], Operations: ['77+19=96', '96-53=43']
Exploring Operation: 99-43=56, Resulting Numbers: [56]
56,94 unequal: No Solution
Exploring Operation: 99*43=4257, Resulting Numbers: [4257]
4257,94 unequal: No Solution
Exploring Operation: 99+43=142, Resulting Numbers: [142]
142,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[96, 152], Operations: ['77+19=96', '53+99=152']
Exploring Operation: 96+152=248, Resulting Numbers: [248]
248,94 unequal: No Solution
Exploring Operation: 152-96=56, Resulting Numbers: [56]
56,94 unequal: No Solution
Exploring Operation: 96*152=14592, Resulting Numbers: [14592]
14592,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[53, 99, 58], Operations: ['77-19=58']
Exploring Operation: 58-53=5, Resulting Numbers: [99, 5]
Generated Node #0,0,0: 94:[99, 5] Operation: 58-53=5
Exploring Operation: 99-58=41, Resulting Numbers: [53, 41]
Generated Node #0,0,1: 94:[53, 41] Operation: 99-58=41
Exploring Operation: 53+58=111, Resulting Numbers: [99, 111]
Generated Node #0,0,2: 94:[99, 111] Operation: 53+58=111
Exploring Operation: 99-53=46, Resulting Numbers: [58, 46]
Generated Node #0,0,3: 94:[58, 46] Operation: 99-53=46
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[99, 5], Operations: ['77-19=58', '58-53=5']
Exploring Operation: 99*5=495, Resulting Numbers: [495]
495,94 unequal: No Solution
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[77, 53, 19, 99], Operations: []
Exploring Operation: 77-19=58, Resulting Numbers: [53, 99, 58]
Generated Node #0,0: 94:[53, 99, 58] Operation: 77-19=58
Moving to Node #0,0
Current State: 94:[53, 99, 58], Operations: ['77-19=58']
Exploring Operation: 58-53=5, Resulting Numbers: [99, 5]
Generated Node #0,0,0: 94:[99, 5] Operation: 58-53=5
Moving to Node #0,0,0
Current State: 94:[99, 5], Operations: ['77-19=58', '58-53=5']
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
48,
21,
2,
22
] | 19 | [
"48/2=24",
"21+22=43",
"43-24=19"
] | Current State: 19:[48, 21, 2, 22], Operations: []
Exploring Operation: 48/2=24, Resulting Numbers: [21, 22, 24]
Generated Node #2: [21, 22, 24] from Operation: 48/2=24
Current State: 19:[21, 22, 24], Operations: ['48/2=24']
Exploring Operation: 21+22=43, Resulting Numbers: [24, 43]
Generated Node #3: [24, 43] from Operation: 21+22=43
Current State: 19:[24, 43], Operations: ['48/2=24', '21+22=43']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[48, 21, 2, 22], Operations: []
Exploring Operation: 48-22=26, Resulting Numbers: [21, 2, 26]
Generated Node #0,0: 19:[21, 2, 26] Operation: 48-22=26
Exploring Operation: 48-21=27, Resulting Numbers: [2, 22, 27]
Generated Node #0,1: 19:[2, 22, 27] Operation: 48-21=27
Exploring Operation: 48/2=24, Resulting Numbers: [21, 22, 24]
Generated Node #0,2: 19:[21, 22, 24] Operation: 48/2=24
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[21, 22, 24], Operations: ['48/2=24']
Exploring Operation: 24-21=3, Resulting Numbers: [22, 3]
Generated Node #0,2,0: 19:[22, 3] Operation: 24-21=3
Exploring Operation: 24-22=2, Resulting Numbers: [21, 2]
Generated Node #0,2,1: 19:[21, 2] Operation: 24-22=2
Exploring Operation: 22-21=1, Resulting Numbers: [24, 1]
Generated Node #0,2,2: 19:[24, 1] Operation: 22-21=1
Moving to Node #0,2,0
Current State: 19:[22, 3], Operations: ['48/2=24', '24-21=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[48, 21, 2, 22], Operations: []
Exploring Operation: 48/2=24, Resulting Numbers: [21, 22, 24]
Generated Node #0,2: 19:[21, 22, 24] Operation: 48/2=24
Moving to Node #0,2
Current State: 19:[21, 22, 24], Operations: ['48/2=24']
Exploring Operation: 24-21=3, Resulting Numbers: [22, 3]
Generated Node #0,2,0: 19:[22, 3] Operation: 24-21=3
Moving to Node #0,2,0
Current State: 19:[22, 3], Operations: ['48/2=24', '24-21=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
14,
37,
2,
56
] | 74 | [
"14*2=28",
"37*56=2072",
"2072/28=74"
] | Current State: 74:[14, 37, 2, 56], Operations: []
Exploring Operation: 14*2=28, Resulting Numbers: [37, 56, 28]
Generated Node #2: [37, 56, 28] from Operation: 14*2=28
Current State: 74:[37, 56, 28], Operations: ['14*2=28']
Exploring Operation: 37*56=2072, Resulting Numbers: [28, 2072]
Generated Node #3: [28, 2072] from Operation: 37*56=2072
Current State: 74:[28, 2072], Operations: ['14*2=28', '37*56=2072']
Exploring Operation: 2072/28=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[14, 37, 2, 56], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [37, 2, 4]
Generated Node #0,0: 74:[37, 2, 4] Operation: 56/14=4
Exploring Operation: 14+56=70, Resulting Numbers: [37, 2, 70]
Generated Node #0,1: 74:[37, 2, 70] Operation: 14+56=70
Exploring Operation: 56/2=28, Resulting Numbers: [14, 37, 28]
Generated Node #0,2: 74:[14, 37, 28] Operation: 56/2=28
Exploring Operation: 56-14=42, Resulting Numbers: [37, 2, 42]
Generated Node #0,3: 74:[37, 2, 42] Operation: 56-14=42
Moving to Node #0,0
Current State: 74:[37, 2, 4], Operations: ['56/14=4']
Exploring Operation: 4/2=2, Resulting Numbers: [37, 2]
Generated Node #0,0,0: 74:[37, 2] Operation: 4/2=2
Exploring Operation: 37*2=74, Resulting Numbers: [4, 74]
Generated Node #0,0,1: 74:[4, 74] Operation: 37*2=74
Exploring Operation: 37+2=39, Resulting Numbers: [4, 39]
Generated Node #0,0,2: 74:[4, 39] Operation: 37+2=39
Exploring Operation: 4-2=2, Resulting Numbers: [37, 2]
Generated Node #0,0,3: 74:[37, 2] Operation: 4-2=2
Moving to Node #0,1
Current State: 74:[37, 2, 70], Operations: ['14+56=70']
Exploring Operation: 70-37=33, Resulting Numbers: [2, 33]
Generated Node #0,1,0: 74:[2, 33] Operation: 70-37=33
Exploring Operation: 2+70=72, Resulting Numbers: [37, 72]
Generated Node #0,1,1: 74:[37, 72] Operation: 2+70=72
Exploring Operation: 70/2=35, Resulting Numbers: [37, 35]
Generated Node #0,1,2: 74:[37, 35] Operation: 70/2=35
Exploring Operation: 37*2=74, Resulting Numbers: [70, 74]
Generated Node #0,1,3: 74:[70, 74] Operation: 37*2=74
Moving to Node #0,3
Current State: 74:[37, 2, 42], Operations: ['56-14=42']
Exploring Operation: 37*2=74, Resulting Numbers: [42, 74]
Generated Node #0,3,0: 74:[42, 74] Operation: 37*2=74
Exploring Operation: 42-37=5, Resulting Numbers: [2, 5]
Generated Node #0,3,1: 74:[2, 5] Operation: 42-37=5
Exploring Operation: 37+42=79, Resulting Numbers: [2, 79]
Generated Node #0,3,2: 74:[2, 79] Operation: 37+42=79
Exploring Operation: 42-2=40, Resulting Numbers: [37, 40]
Generated Node #0,3,3: 74:[37, 40] Operation: 42-2=40
Moving to Node #0,2
Current State: 74:[14, 37, 28], Operations: ['56/2=28']
Exploring Operation: 28/14=2, Resulting Numbers: [37, 2]
Generated Node #0,2,0: 74:[37, 2] Operation: 28/14=2
Exploring Operation: 28-14=14, Resulting Numbers: [37, 14]
Generated Node #0,2,1: 74:[37, 14] Operation: 28-14=14
Exploring Operation: 37-28=9, Resulting Numbers: [14, 9]
Generated Node #0,2,2: 74:[14, 9] Operation: 37-28=9
Exploring Operation: 14+28=42, Resulting Numbers: [37, 42]
Generated Node #0,2,3: 74:[37, 42] Operation: 14+28=42
Moving to Node #0,0,0
Current State: 74:[37, 2], Operations: ['56/14=4', '4/2=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[14, 37, 2, 56], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [37, 2, 4]
Generated Node #0,0: 74:[37, 2, 4] Operation: 56/14=4
Moving to Node #0,0
Current State: 74:[37, 2, 4], Operations: ['56/14=4']
Exploring Operation: 4/2=2, Resulting Numbers: [37, 2]
Generated Node #0,0,0: 74:[37, 2] Operation: 4/2=2
Moving to Node #0,0,0
Current State: 74:[37, 2], Operations: ['56/14=4', '4/2=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.976563 | hs_4 | mult_heuristic |
[
32,
67,
31,
47
] | 83 | [
"32+67=99",
"47-31=16",
"99-16=83"
] | Current State: 83:[32, 67, 31, 47], Operations: []
Exploring Operation: 32+67=99, Resulting Numbers: [31, 47, 99]
Generated Node #2: [31, 47, 99] from Operation: 32+67=99
Current State: 83:[31, 47, 99], Operations: ['32+67=99']
Exploring Operation: 47-31=16, Resulting Numbers: [99, 16]
Generated Node #3: [99, 16] from Operation: 47-31=16
Current State: 83:[99, 16], Operations: ['32+67=99', '47-31=16']
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[32, 67, 31, 47], Operations: []
Exploring Operation: 32+47=79, Resulting Numbers: [67, 31, 79]
Generated Node #0,0: 83:[67, 31, 79] Operation: 32+47=79
Exploring Operation: 31+47=78, Resulting Numbers: [32, 67, 78]
Generated Node #0,1: 83:[32, 67, 78] Operation: 31+47=78
Exploring Operation: 32+31=63, Resulting Numbers: [67, 47, 63]
Generated Node #0,2: 83:[67, 47, 63] Operation: 32+31=63
Moving to Node #0,0
Current State: 83:[67, 31, 79], Operations: ['32+47=79']
Exploring Operation: 67-31=36, Resulting Numbers: [79, 36]
Generated Node #0,0,0: 83:[79, 36] Operation: 67-31=36
Exploring Operation: 31+79=110, Resulting Numbers: [67, 110]
Generated Node #0,0,1: 83:[67, 110] Operation: 31+79=110
Exploring Operation: 67+31=98, Resulting Numbers: [79, 98]
Generated Node #0,0,2: 83:[79, 98] Operation: 67+31=98
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[79, 98], Operations: ['32+47=79', '67+31=98']
Exploring Operation: 98-79=19, Resulting Numbers: [19]
19,83 unequal: No Solution
Exploring Operation: 79*98=7742, Resulting Numbers: [7742]
7742,83 unequal: No Solution
Exploring Operation: 79+98=177, Resulting Numbers: [177]
177,83 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 #0,0,1
Current State: 83:[67, 110], Operations: ['32+47=79', '31+79=110']
Exploring Operation: 67+110=177, Resulting Numbers: [177]
177,83 unequal: No Solution
Exploring Operation: 110-67=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 67*110=7370, Resulting Numbers: [7370]
7370,83 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:[79, 36], Operations: ['32+47=79', '67-31=36']
Exploring Operation: 79*36=2844, Resulting Numbers: [2844]
2844,83 unequal: No Solution
Exploring Operation: 79-36=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 79+36=115, Resulting Numbers: [115]
115,83 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: 83:[32, 67, 78], Operations: ['31+47=78']
Exploring Operation: 67-32=35, Resulting Numbers: [78, 35]
Generated Node #0,1,0: 83:[78, 35] Operation: 67-32=35
Exploring Operation: 32+67=99, Resulting Numbers: [78, 99]
Generated Node #0,1,1: 83:[78, 99] Operation: 32+67=99
Exploring Operation: 32+78=110, Resulting Numbers: [67, 110]
Generated Node #0,1,2: 83:[67, 110] Operation: 32+78=110
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[78, 99], Operations: ['31+47=78', '32+67=99']
Exploring Operation: 99-78=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Exploring Operation: 78*99=7722, Resulting Numbers: [7722]
7722,83 unequal: No Solution
Exploring Operation: 78+99=177, Resulting Numbers: [177]
177,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 83:[67, 110], Operations: ['31+47=78', '32+78=110']
Exploring Operation: 110-67=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 67*110=7370, Resulting Numbers: [7370]
7370,83 unequal: No Solution
Exploring Operation: 67+110=177, Resulting Numbers: [177]
177,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[78, 35], Operations: ['31+47=78', '67-32=35']
Exploring Operation: 78-35=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 78*35=2730, Resulting Numbers: [2730]
2730,83 unequal: No Solution
Exploring Operation: 78+35=113, Resulting Numbers: [113]
113,83 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: 83:[67, 47, 63], Operations: ['32+31=63']
Exploring Operation: 67-47=20, Resulting Numbers: [63, 20]
Generated Node #0,2,0: 83:[63, 20] Operation: 67-47=20
Exploring Operation: 47+63=110, Resulting Numbers: [67, 110]
Generated Node #0,2,1: 83:[67, 110] Operation: 47+63=110
Exploring Operation: 67+47=114, Resulting Numbers: [63, 114]
Generated Node #0,2,2: 83:[63, 114] Operation: 67+47=114
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 83:[67, 110], Operations: ['32+31=63', '47+63=110']
Exploring Operation: 110-67=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 67+110=177, Resulting Numbers: [177]
177,83 unequal: No Solution
Exploring Operation: 67*110=7370, Resulting Numbers: [7370]
7370,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[63, 114], Operations: ['32+31=63', '67+47=114']
Exploring Operation: 63+114=177, Resulting Numbers: [177]
177,83 unequal: No Solution
Exploring Operation: 114-63=51, Resulting Numbers: [51]
51,83 unequal: No Solution
Exploring Operation: 63*114=7182, Resulting Numbers: [7182]
7182,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 83:[63, 20], Operations: ['32+31=63', '67-47=20']
Exploring Operation: 63*20=1260, Resulting Numbers: [1260]
1260,83 unequal: No Solution
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[32, 67, 31, 47], Operations: []
Exploring Operation: 32+31=63, Resulting Numbers: [67, 47, 63]
Generated Node #0,2: 83:[67, 47, 63] Operation: 32+31=63
Moving to Node #0,2
Current State: 83:[67, 47, 63], Operations: ['32+31=63']
Exploring Operation: 67-47=20, Resulting Numbers: [63, 20]
Generated Node #0,2,0: 83:[63, 20] Operation: 67-47=20
Moving to Node #0,2,0
Current State: 83:[63, 20], Operations: ['32+31=63', '67-47=20']
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_3 | mult_heuristic |
[
8,
96,
6,
35
] | 43 | [
"35-8=27",
"96/6=16",
"27+16=43"
] | Current State: 43:[8, 96, 6, 35], Operations: []
Exploring Operation: 35-8=27, Resulting Numbers: [96, 6, 27]
Generated Node #2: [96, 6, 27] from Operation: 35-8=27
Current State: 43:[96, 6, 27], Operations: ['35-8=27']
Exploring Operation: 96/6=16, Resulting Numbers: [27, 16]
Generated Node #3: [27, 16] from Operation: 96/6=16
Current State: 43:[27, 16], Operations: ['35-8=27', '96/6=16']
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[8, 96, 6, 35], Operations: []
Exploring Operation: 8*6=48, Resulting Numbers: [96, 35, 48]
Generated Node #0,0: 43:[96, 35, 48] Operation: 8*6=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[96, 35, 48], Operations: ['8*6=48']
Exploring Operation: 96-48=48, Resulting Numbers: [35, 48]
Generated Node #0,0,0: 43:[35, 48] Operation: 96-48=48
Moving to Node #0,0,0
Current State: 43:[35, 48], Operations: ['8*6=48', '96-48=48']
Exploring Operation: 48-35=13, Resulting Numbers: [13]
13,43 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 |
[
28,
34,
76,
85
] | 99 | [
"28+34=62",
"76+85=161",
"161-62=99"
] | Current State: 99:[28, 34, 76, 85], Operations: []
Exploring Operation: 28+34=62, Resulting Numbers: [76, 85, 62]
Generated Node #2: [76, 85, 62] from Operation: 28+34=62
Current State: 99:[76, 85, 62], Operations: ['28+34=62']
Exploring Operation: 76+85=161, Resulting Numbers: [62, 161]
Generated Node #3: [62, 161] from Operation: 76+85=161
Current State: 99:[62, 161], Operations: ['28+34=62', '76+85=161']
Exploring Operation: 161-62=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[28, 34, 76, 85], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [28, 34, 9]
Generated Node #0,0: 99:[28, 34, 9] Operation: 85-76=9
Exploring Operation: 28+76=104, Resulting Numbers: [34, 85, 104]
Generated Node #0,1: 99:[34, 85, 104] Operation: 28+76=104
Moving to Node #0,0
Current State: 99:[28, 34, 9], Operations: ['85-76=9']
Exploring Operation: 34-28=6, Resulting Numbers: [9, 6]
Generated Node #0,0,0: 99:[9, 6] Operation: 34-28=6
Exploring Operation: 28+9=37, Resulting Numbers: [34, 37]
Generated Node #0,0,1: 99:[34, 37] Operation: 28+9=37
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[9, 6], Operations: ['85-76=9', '34-28=6']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 99:[34, 37], Operations: ['85-76=9', '28+9=37']
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 99:[34, 85, 104], Operations: ['28+76=104']
Exploring Operation: 85-34=51, Resulting Numbers: [104, 51]
Generated Node #0,1,0: 99:[104, 51] Operation: 85-34=51
Exploring Operation: 104-85=19, Resulting Numbers: [34, 19]
Generated Node #0,1,1: 99:[34, 19] Operation: 104-85=19
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[34, 19], Operations: ['28+76=104', '104-85=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,99 unequal: No Solution
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[104, 51], Operations: ['28+76=104', '85-34=51']
Exploring Operation: 104-51=53, Resulting Numbers: [53]
53,99 unequal: No Solution
Exploring Operation: 104+51=155, Resulting Numbers: [155]
155,99 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 |
[
75,
15,
70,
18
] | 95 | [
"18-15=3",
"75/3=25",
"70+25=95"
] | Current State: 95:[75, 15, 70, 18], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [75, 70, 3]
Generated Node #2: [75, 70, 3] from Operation: 18-15=3
Current State: 95:[75, 70, 3], Operations: ['18-15=3']
Exploring Operation: 75/3=25, Resulting Numbers: [70, 25]
Generated Node #3: [70, 25] from Operation: 75/3=25
Current State: 95:[70, 25], Operations: ['18-15=3', '75/3=25']
Exploring Operation: 70+25=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[75, 15, 70, 18], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [15, 18, 5]
Generated Node #0,0: 95:[15, 18, 5] Operation: 75-70=5
Exploring Operation: 75/15=5, Resulting Numbers: [70, 18, 5]
Generated Node #0,1: 95:[70, 18, 5] Operation: 75/15=5
Moving to Node #0,0
Current State: 95:[15, 18, 5], Operations: ['75-70=5']
Exploring Operation: 18-15=3, Resulting Numbers: [5, 3]
Generated Node #0,0,0: 95:[5, 3] Operation: 18-15=3
Exploring Operation: 15+5=20, Resulting Numbers: [18, 20]
Generated Node #0,0,1: 95:[18, 20] Operation: 15+5=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[5, 3], Operations: ['75-70=5', '18-15=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[18, 20], Operations: ['75-70=5', '15+5=20']
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,95 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,95 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: 95:[70, 18, 5], Operations: ['75/15=5']
Exploring Operation: 70+18=88, Resulting Numbers: [5, 88]
Generated Node #0,1,0: 95:[5, 88] Operation: 70+18=88
Exploring Operation: 70/5=14, Resulting Numbers: [18, 14]
Generated Node #0,1,1: 95:[18, 14] Operation: 70/5=14
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[18, 14], Operations: ['75/15=5', '70/5=14']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,95 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 #0,1,0
Current State: 95:[5, 88], Operations: ['75/15=5', '70+18=88']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,95 unequal: No Solution
Exploring Operation: 5+88=93, Resulting Numbers: [93]
93,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
42,
27,
86,
25
] | 88 | [
"86-42=44",
"27-25=2",
"44*2=88"
] | Current State: 88:[42, 27, 86, 25], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [27, 25, 44]
Generated Node #2: [27, 25, 44] from Operation: 86-42=44
Current State: 88:[27, 25, 44], Operations: ['86-42=44']
Exploring Operation: 27-25=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 27-25=2
Current State: 88:[44, 2], Operations: ['86-42=44', '27-25=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[42, 27, 86, 25], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [86, 25, 15]
Generated Node #0,0: 88:[86, 25, 15] Operation: 42-27=15
Exploring Operation: 42-25=17, Resulting Numbers: [27, 86, 17]
Generated Node #0,1: 88:[27, 86, 17] Operation: 42-25=17
Exploring Operation: 27-25=2, Resulting Numbers: [42, 86, 2]
Generated Node #0,2: 88:[42, 86, 2] Operation: 27-25=2
Exploring Operation: 86-42=44, Resulting Numbers: [27, 25, 44]
Generated Node #0,3: 88:[27, 25, 44] Operation: 86-42=44
Moving to Node #0,2
Current State: 88:[42, 86, 2], Operations: ['27-25=2']
Exploring Operation: 42+2=44, Resulting Numbers: [86, 44]
Generated Node #0,2,0: 88:[86, 44] Operation: 42+2=44
Exploring Operation: 86+2=88, Resulting Numbers: [42, 88]
Generated Node #0,2,1: 88:[42, 88] Operation: 86+2=88
Exploring Operation: 86-42=44, Resulting Numbers: [2, 44]
Generated Node #0,2,2: 88:[2, 44] Operation: 86-42=44
Exploring Operation: 42/2=21, Resulting Numbers: [86, 21]
Generated Node #0,2,3: 88:[86, 21] Operation: 42/2=21
Moving to Node #0,3
Current State: 88:[27, 25, 44], Operations: ['86-42=44']
Exploring Operation: 27+25=52, Resulting Numbers: [44, 52]
Generated Node #0,3,0: 88:[44, 52] Operation: 27+25=52
Exploring Operation: 44-25=19, Resulting Numbers: [27, 19]
Generated Node #0,3,1: 88:[27, 19] Operation: 44-25=19
Exploring Operation: 44-27=17, Resulting Numbers: [25, 17]
Generated Node #0,3,2: 88:[25, 17] Operation: 44-27=17
Exploring Operation: 27-25=2, Resulting Numbers: [44, 2]
Generated Node #0,3,3: 88:[44, 2] Operation: 27-25=2
Moving to Node #0,0
Current State: 88:[86, 25, 15], Operations: ['42-27=15']
Exploring Operation: 25-15=10, Resulting Numbers: [86, 10]
Generated Node #0,0,0: 88:[86, 10] Operation: 25-15=10
Exploring Operation: 86-15=71, Resulting Numbers: [25, 71]
Generated Node #0,0,1: 88:[25, 71] Operation: 86-15=71
Exploring Operation: 25+15=40, Resulting Numbers: [86, 40]
Generated Node #0,0,2: 88:[86, 40] Operation: 25+15=40
Exploring Operation: 86+15=101, Resulting Numbers: [25, 101]
Generated Node #0,0,3: 88:[25, 101] Operation: 86+15=101
Moving to Node #0,1
Current State: 88:[27, 86, 17], Operations: ['42-25=17']
Exploring Operation: 86+17=103, Resulting Numbers: [27, 103]
Generated Node #0,1,0: 88:[27, 103] Operation: 86+17=103
Exploring Operation: 27+17=44, Resulting Numbers: [86, 44]
Generated Node #0,1,1: 88:[86, 44] Operation: 27+17=44
Exploring Operation: 27-17=10, Resulting Numbers: [86, 10]
Generated Node #0,1,2: 88:[86, 10] Operation: 27-17=10
Exploring Operation: 86-27=59, Resulting Numbers: [17, 59]
Generated Node #0,1,3: 88:[17, 59] Operation: 86-27=59
Moving to Node #0,2,2
Current State: 88:[2, 44], Operations: ['27-25=2', '86-42=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,88 unequal: No Solution
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[42, 27, 86, 25], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [42, 86, 2]
Generated Node #0,2: 88:[42, 86, 2] Operation: 27-25=2
Moving to Node #0,2
Current State: 88:[42, 86, 2], Operations: ['27-25=2']
Exploring Operation: 86-42=44, Resulting Numbers: [2, 44]
Generated Node #0,2,2: 88:[2, 44] Operation: 86-42=44
Moving to Node #0,2,2
Current State: 88:[2, 44], Operations: ['27-25=2', '86-42=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.976563 | hs_4 | sum_heuristic |
[
77,
7,
14,
10
] | 74 | [
"77-7=70",
"14-10=4",
"70+4=74"
] | Current State: 74:[77, 7, 14, 10], Operations: []
Exploring Operation: 77-7=70, Resulting Numbers: [14, 10, 70]
Generated Node #2: [14, 10, 70] from Operation: 77-7=70
Current State: 74:[14, 10, 70], Operations: ['77-7=70']
Exploring Operation: 14-10=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 14-10=4
Current State: 74:[70, 4], Operations: ['77-7=70', '14-10=4']
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[77, 7, 14, 10], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [77, 7, 4]
Generated Node #0,0: 74:[77, 7, 4] Operation: 14-10=4
Moving to Node #0,0
Current State: 74:[77, 7, 4], Operations: ['14-10=4']
Exploring Operation: 7-4=3, Resulting Numbers: [77, 3]
Generated Node #0,0,0: 74:[77, 3] Operation: 7-4=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[77, 3], Operations: ['14-10=4', '7-4=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[77, 7, 14, 10], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [77, 7, 4]
Generated Node #0,0: 74:[77, 7, 4] Operation: 14-10=4
Moving to Node #0,0
Current State: 74:[77, 7, 4], Operations: ['14-10=4']
Exploring Operation: 7-4=3, Resulting Numbers: [77, 3]
Generated Node #0,0,0: 74:[77, 3] Operation: 7-4=3
Moving to Node #0,0,0
Current State: 74:[77, 3], Operations: ['14-10=4', '7-4=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
64,
73,
9,
73
] | 64 | [
"73-73=0",
"9*0=0",
"64+0=64"
] | Current State: 64:[64, 73, 9, 73], Operations: []
Exploring Operation: 73-73=0, Resulting Numbers: [64, 9, 0]
Generated Node #2: [64, 9, 0] from Operation: 73-73=0
Current State: 64:[64, 9, 0], Operations: ['73-73=0']
Exploring Operation: 9*0=0, Resulting Numbers: [64, 0]
Generated Node #3: [64, 0] from Operation: 9*0=0
Current State: 64:[64, 0], Operations: ['73-73=0', '9*0=0']
Exploring Operation: 64+0=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[64, 73, 9, 73], Operations: []
Exploring Operation: 73/73=1, Resulting Numbers: [64, 9, 1]
Generated Node #0,0: 64:[64, 9, 1] Operation: 73/73=1
Exploring Operation: 73-73=0, Resulting Numbers: [64, 9, 0]
Generated Node #0,1: 64:[64, 9, 0] Operation: 73-73=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[64, 9, 1], Operations: ['73/73=1']
Exploring Operation: 9-1=8, Resulting Numbers: [64, 8]
Generated Node #0,0,0: 64:[64, 8] Operation: 9-1=8
Exploring Operation: 64*1=64, Resulting Numbers: [9, 64]
Generated Node #0,0,1: 64:[9, 64] Operation: 64*1=64
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 64:[64, 8], Operations: ['73/73=1', '9-1=8']
Exploring Operation: 64+8=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Exploring Operation: 64/8=8, Resulting Numbers: [8]
8,64 unequal: No Solution
No 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: 64:[9, 64], Operations: ['73/73=1', '64*1=64']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 9+64=73, Resulting Numbers: [73]
73,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[64, 9, 0], Operations: ['73-73=0']
Exploring Operation: 64-0=64, Resulting Numbers: [9, 64]
Generated Node #0,1,0: 64:[9, 64] Operation: 64-0=64
Exploring Operation: 64+0=64, Resulting Numbers: [9, 64]
Generated Node #0,1,1: 64:[9, 64] Operation: 64+0=64
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[9, 64], Operations: ['73-73=0', '64-0=64']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 9+64=73, Resulting Numbers: [73]
73,64 unequal: No Solution
No 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: 64:[9, 64], Operations: ['73-73=0', '64+0=64']
Exploring Operation: 9+64=73, Resulting Numbers: [73]
73,64 unequal: No Solution
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
19,
95,
4,
30
] | 36 | [
"19+95=114",
"30+114=144",
"144/4=36"
] | Current State: 36:[19, 95, 4, 30], Operations: []
Exploring Operation: 19+95=114, Resulting Numbers: [4, 30, 114]
Generated Node #2: [4, 30, 114] from Operation: 19+95=114
Current State: 36:[4, 30, 114], Operations: ['19+95=114']
Exploring Operation: 30+114=144, Resulting Numbers: [4, 144]
Generated Node #3: [4, 144] from Operation: 30+114=144
Current State: 36:[4, 144], Operations: ['19+95=114', '30+114=144']
Exploring Operation: 144/4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[19, 95, 4, 30], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [4, 30, 5]
Generated Node #0,0: 36:[4, 30, 5] Operation: 95/19=5
Moving to Node #0,0
Current State: 36:[4, 30, 5], Operations: ['95/19=5']
Exploring Operation: 30/5=6, Resulting Numbers: [4, 6]
Generated Node #0,0,0: 36:[4, 6] Operation: 30/5=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[4, 6], Operations: ['95/19=5', '30/5=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,36 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 |
[
27,
27,
33,
87
] | 19 | [
"33-27=6",
"27+87=114",
"114/6=19"
] | Current State: 19:[27, 27, 33, 87], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [87, 6]
Generated Node #2: [87, 6] from Operation: 33-27=6
Current State: 19:[87, 6], Operations: ['33-27=6']
Exploring Operation: 27+87=114, Resulting Numbers: [6, 114]
Generated Node #3: [6, 114] from Operation: 27+87=114
Current State: 19:[6, 114], Operations: ['33-27=6', '27+87=114']
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[27, 27, 33, 87], Operations: []
Exploring Operation: 87-33=54, Resulting Numbers: [27, 27, 54]
Generated Node #0,0: 19:[27, 27, 54] Operation: 87-33=54
Exploring Operation: 87-27=60, Resulting Numbers: [27, 33, 60]
Generated Node #0,1: 19:[27, 33, 60] Operation: 87-27=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[27, 27, 54], Operations: ['87-33=54']
Exploring Operation: 54-27=27, Resulting Numbers: [27, 27]
Generated Node #0,0,0: 19:[27, 27] Operation: 54-27=27
Exploring Operation: 54-27=27, Resulting Numbers: [27, 27]
Generated Node #0,0,1: 19:[27, 27] Operation: 54-27=27
Moving to Node #0,0,0
Current State: 19:[27, 27], Operations: ['87-33=54', '54-27=27']
Exploring Operation: 27/27=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 27-27=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[27, 27], Operations: ['87-33=54', '54-27=27']
Exploring Operation: 27-27=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 27/27=1, Resulting Numbers: [1]
1,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[27, 33, 60], Operations: ['87-27=60']
Exploring Operation: 60-33=27, Resulting Numbers: [27, 27]
Generated Node #0,1,0: 19:[27, 27] Operation: 60-33=27
Exploring Operation: 60-27=33, Resulting Numbers: [33, 33]
Generated Node #0,1,1: 19:[33, 33] Operation: 60-27=33
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[27, 27], Operations: ['87-27=60', '60-33=27']
Exploring Operation: 27-27=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 27/27=1, Resulting Numbers: [1]
1,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 19:[33, 33], Operations: ['87-27=60', '60-27=33']
Exploring Operation: 33/33=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 33-33=0, Resulting Numbers: [0]
0,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
16,
29,
86,
55
] | 32 | [
"86-29=57",
"57-55=2",
"16*2=32"
] | Current State: 32:[16, 29, 86, 55], Operations: []
Exploring Operation: 86-29=57, Resulting Numbers: [16, 55, 57]
Generated Node #2: [16, 55, 57] from Operation: 86-29=57
Current State: 32:[16, 55, 57], Operations: ['86-29=57']
Exploring Operation: 57-55=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 57-55=2
Current State: 32:[16, 2], Operations: ['86-29=57', '57-55=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[16, 29, 86, 55], Operations: []
Exploring Operation: 86-29=57, Resulting Numbers: [16, 55, 57]
Generated Node #0,0: 32:[16, 55, 57] Operation: 86-29=57
Exploring Operation: 86-55=31, Resulting Numbers: [16, 29, 31]
Generated Node #0,1: 32:[16, 29, 31] Operation: 86-55=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[16, 29, 31], Operations: ['86-55=31']
Exploring Operation: 29-16=13, Resulting Numbers: [31, 13]
Generated Node #0,1,0: 32:[31, 13] Operation: 29-16=13
Exploring Operation: 31-29=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 32:[16, 2] Operation: 31-29=2
Moving to Node #0,1,1
Current State: 32:[16, 2], Operations: ['86-55=31', '31-29=2']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[16, 29, 86, 55], Operations: []
Exploring Operation: 86-55=31, Resulting Numbers: [16, 29, 31]
Generated Node #0,1: 32:[16, 29, 31] Operation: 86-55=31
Moving to Node #0,1
Current State: 32:[16, 29, 31], Operations: ['86-55=31']
Exploring Operation: 31-29=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 32:[16, 2] Operation: 31-29=2
Moving to Node #0,1,1
Current State: 32:[16, 2], Operations: ['86-55=31', '31-29=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
26,
12,
91,
32
] | 97 | [
"26+12=38",
"91-32=59",
"38+59=97"
] | Current State: 97:[26, 12, 91, 32], Operations: []
Exploring Operation: 26+12=38, Resulting Numbers: [91, 32, 38]
Generated Node #2: [91, 32, 38] from Operation: 26+12=38
Current State: 97:[91, 32, 38], Operations: ['26+12=38']
Exploring Operation: 91-32=59, Resulting Numbers: [38, 59]
Generated Node #3: [38, 59] from Operation: 91-32=59
Current State: 97:[38, 59], Operations: ['26+12=38', '91-32=59']
Exploring Operation: 38+59=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[26, 12, 91, 32], Operations: []
Exploring Operation: 12+91=103, Resulting Numbers: [26, 32, 103]
Generated Node #0,0: 97:[26, 32, 103] Operation: 12+91=103
Exploring Operation: 26+12=38, Resulting Numbers: [91, 32, 38]
Generated Node #0,1: 97:[91, 32, 38] Operation: 26+12=38
Exploring Operation: 12+32=44, Resulting Numbers: [26, 91, 44]
Generated Node #0,2: 97:[26, 91, 44] Operation: 12+32=44
Exploring Operation: 26+32=58, Resulting Numbers: [12, 91, 58]
Generated Node #0,3: 97:[12, 91, 58] Operation: 26+32=58
Moving to Node #0,1
Current State: 97:[91, 32, 38], Operations: ['26+12=38']
Exploring Operation: 91+32=123, Resulting Numbers: [38, 123]
Generated Node #0,1,0: 97:[38, 123] Operation: 91+32=123
Exploring Operation: 91-32=59, Resulting Numbers: [38, 59]
Generated Node #0,1,1: 97:[38, 59] Operation: 91-32=59
Exploring Operation: 91+38=129, Resulting Numbers: [32, 129]
Generated Node #0,1,2: 97:[32, 129] Operation: 91+38=129
Exploring Operation: 32+38=70, Resulting Numbers: [91, 70]
Generated Node #0,1,3: 97:[91, 70] Operation: 32+38=70
Moving to Node #0,3
Current State: 97:[12, 91, 58], Operations: ['26+32=58']
Exploring Operation: 12+91=103, Resulting Numbers: [58, 103]
Generated Node #0,3,0: 97:[58, 103] Operation: 12+91=103
Exploring Operation: 91-12=79, Resulting Numbers: [58, 79]
Generated Node #0,3,1: 97:[58, 79] Operation: 91-12=79
Exploring Operation: 58-12=46, Resulting Numbers: [91, 46]
Generated Node #0,3,2: 97:[91, 46] Operation: 58-12=46
Exploring Operation: 12+58=70, Resulting Numbers: [91, 70]
Generated Node #0,3,3: 97:[91, 70] Operation: 12+58=70
Moving to Node #0,2
Current State: 97:[26, 91, 44], Operations: ['12+32=44']
Exploring Operation: 44-26=18, Resulting Numbers: [91, 18]
Generated Node #0,2,0: 97:[91, 18] Operation: 44-26=18
Exploring Operation: 26+44=70, Resulting Numbers: [91, 70]
Generated Node #0,2,1: 97:[91, 70] Operation: 26+44=70
Exploring Operation: 91-26=65, Resulting Numbers: [44, 65]
Generated Node #0,2,2: 97:[44, 65] Operation: 91-26=65
Exploring Operation: 26+91=117, Resulting Numbers: [44, 117]
Generated Node #0,2,3: 97:[44, 117] Operation: 26+91=117
Moving to Node #0,0
Current State: 97:[26, 32, 103], Operations: ['12+91=103']
Exploring Operation: 26+32=58, Resulting Numbers: [103, 58]
Generated Node #0,0,0: 97:[103, 58] Operation: 26+32=58
Exploring Operation: 32-26=6, Resulting Numbers: [103, 6]
Generated Node #0,0,1: 97:[103, 6] Operation: 32-26=6
Exploring Operation: 103-26=77, Resulting Numbers: [32, 77]
Generated Node #0,0,2: 97:[32, 77] Operation: 103-26=77
Exploring Operation: 26+103=129, Resulting Numbers: [32, 129]
Generated Node #0,0,3: 97:[32, 129] Operation: 26+103=129
Moving to Node #0,1,3
Current State: 97:[91, 70], Operations: ['26+12=38', '32+38=70']
Exploring Operation: 91+70=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Exploring Operation: 91*70=6370, Resulting Numbers: [6370]
6370,97 unequal: No Solution
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[91, 70], Operations: ['26+32=58', '12+58=70']
Exploring Operation: 91+70=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,97 unequal: No Solution
Exploring Operation: 91*70=6370, Resulting Numbers: [6370]
6370,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[91, 70], Operations: ['12+32=44', '26+44=70']
Exploring Operation: 91*70=6370, Resulting Numbers: [6370]
6370,97 unequal: No Solution
Exploring Operation: 91+70=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[58, 103], Operations: ['26+32=58', '12+91=103']
Exploring Operation: 58*103=5974, Resulting Numbers: [5974]
5974,97 unequal: No Solution
Exploring Operation: 58+103=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Exploring Operation: 103-58=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[103, 58], Operations: ['12+91=103', '26+32=58']
Exploring Operation: 103-58=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Exploring Operation: 103*58=5974, Resulting Numbers: [5974]
5974,97 unequal: No Solution
Exploring Operation: 103+58=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[58, 79], Operations: ['26+32=58', '91-12=79']
Exploring Operation: 58+79=137, Resulting Numbers: [137]
137,97 unequal: No Solution
Exploring Operation: 58*79=4582, Resulting Numbers: [4582]
4582,97 unequal: No Solution
Exploring Operation: 79-58=21, Resulting Numbers: [21]
21,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[91, 46], Operations: ['26+32=58', '58-12=46']
Exploring Operation: 91-46=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Exploring Operation: 91*46=4186, Resulting Numbers: [4186]
4186,97 unequal: No Solution
Exploring Operation: 91+46=137, Resulting Numbers: [137]
137,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[44, 117], Operations: ['12+32=44', '26+91=117']
Exploring Operation: 44+117=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Exploring Operation: 44*117=5148, Resulting Numbers: [5148]
5148,97 unequal: No Solution
Exploring Operation: 117-44=73, Resulting Numbers: [73]
73,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[32, 77], Operations: ['12+91=103', '103-26=77']
Exploring Operation: 32+77=109, Resulting Numbers: [109]
109,97 unequal: No Solution
Exploring Operation: 77-32=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Exploring Operation: 32*77=2464, Resulting Numbers: [2464]
2464,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[44, 65], Operations: ['12+32=44', '91-26=65']
Exploring Operation: 44+65=109, Resulting Numbers: [109]
109,97 unequal: No Solution
Exploring Operation: 44*65=2860, Resulting Numbers: [2860]
2860,97 unequal: No Solution
Exploring Operation: 65-44=21, Resulting Numbers: [21]
21,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[38, 123], Operations: ['26+12=38', '91+32=123']
Exploring Operation: 123-38=85, Resulting Numbers: [85]
85,97 unequal: No Solution
Exploring Operation: 38+123=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Exploring Operation: 38*123=4674, Resulting Numbers: [4674]
4674,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[91, 18], Operations: ['12+32=44', '44-26=18']
Exploring Operation: 91+18=109, Resulting Numbers: [109]
109,97 unequal: No Solution
Exploring Operation: 91*18=1638, Resulting Numbers: [1638]
1638,97 unequal: No Solution
Exploring Operation: 91-18=73, Resulting Numbers: [73]
73,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[38, 59], Operations: ['26+12=38', '91-32=59']
Exploring Operation: 38+59=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[26, 12, 91, 32], Operations: []
Exploring Operation: 26+12=38, Resulting Numbers: [91, 32, 38]
Generated Node #0,1: 97:[91, 32, 38] Operation: 26+12=38
Moving to Node #0,1
Current State: 97:[91, 32, 38], Operations: ['26+12=38']
Exploring Operation: 91-32=59, Resulting Numbers: [38, 59]
Generated Node #0,1,1: 97:[38, 59] Operation: 91-32=59
Moving to Node #0,1,1
Current State: 97:[38, 59], Operations: ['26+12=38', '91-32=59']
Exploring Operation: 38+59=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 0.947049 | hs_4 | sum_heuristic |
[
84,
28,
56,
93
] | 87 | [
"84/28=3",
"93/3=31",
"56+31=87"
] | Current State: 87:[84, 28, 56, 93], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [56, 93, 3]
Generated Node #2: [56, 93, 3] from Operation: 84/28=3
Current State: 87:[56, 93, 3], Operations: ['84/28=3']
Exploring Operation: 93/3=31, Resulting Numbers: [56, 31]
Generated Node #3: [56, 31] from Operation: 93/3=31
Current State: 87:[56, 31], Operations: ['84/28=3', '93/3=31']
Exploring Operation: 56+31=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[84, 28, 56, 93], Operations: []
Exploring Operation: 84-56=28, Resulting Numbers: [28, 93, 28]
Generated Node #0,0: 87:[28, 93, 28] Operation: 84-56=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[28, 93, 28], Operations: ['84-56=28']
Exploring Operation: 28/28=1, Resulting Numbers: [93, 1]
Generated Node #0,0,0: 87:[93, 1] Operation: 28/28=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[93, 1], Operations: ['84-56=28', '28/28=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
70,
39,
75,
30
] | 74 | [
"70-39=31",
"75+30=105",
"105-31=74"
] | Current State: 74:[70, 39, 75, 30], Operations: []
Exploring Operation: 70-39=31, Resulting Numbers: [75, 30, 31]
Generated Node #2: [75, 30, 31] from Operation: 70-39=31
Current State: 74:[75, 30, 31], Operations: ['70-39=31']
Exploring Operation: 75+30=105, Resulting Numbers: [31, 105]
Generated Node #3: [31, 105] from Operation: 75+30=105
Current State: 74:[31, 105], Operations: ['70-39=31', '75+30=105']
Exploring Operation: 105-31=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[70, 39, 75, 30], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [39, 30, 5]
Generated Node #0,0: 74:[39, 30, 5] Operation: 75-70=5
Exploring Operation: 75-39=36, Resulting Numbers: [70, 30, 36]
Generated Node #0,1: 74:[70, 30, 36] Operation: 75-39=36
Exploring Operation: 39+30=69, Resulting Numbers: [70, 75, 69]
Generated Node #0,2: 74:[70, 75, 69] Operation: 39+30=69
Exploring Operation: 70-30=40, Resulting Numbers: [39, 75, 40]
Generated Node #0,3: 74:[39, 75, 40] Operation: 70-30=40
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[39, 75, 40], Operations: ['70-30=40']
Exploring Operation: 40-39=1, Resulting Numbers: [75, 1]
Generated Node #0,3,0: 74:[75, 1] Operation: 40-39=1
Exploring Operation: 75-40=35, Resulting Numbers: [39, 35]
Generated Node #0,3,1: 74:[39, 35] Operation: 75-40=35
Exploring Operation: 75-39=36, Resulting Numbers: [40, 36]
Generated Node #0,3,2: 74:[40, 36] Operation: 75-39=36
Exploring Operation: 39+40=79, Resulting Numbers: [75, 79]
Generated Node #0,3,3: 74:[75, 79] Operation: 39+40=79
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 74:[75, 1], Operations: ['70-30=40', '40-39=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,74 unequal: No Solution
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,74 unequal: No Solution
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[70, 39, 75, 30], Operations: []
Exploring Operation: 70-30=40, Resulting Numbers: [39, 75, 40]
Generated Node #0,3: 74:[39, 75, 40] Operation: 70-30=40
Moving to Node #0,3
Current State: 74:[39, 75, 40], Operations: ['70-30=40']
Exploring Operation: 40-39=1, Resulting Numbers: [75, 1]
Generated Node #0,3,0: 74:[75, 1] Operation: 40-39=1
Moving to Node #0,3,0
Current State: 74:[75, 1], Operations: ['70-30=40', '40-39=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
16,
67,
46,
3
] | 29 | [
"67-16=51",
"51/3=17",
"46-17=29"
] | Current State: 29:[16, 67, 46, 3], Operations: []
Exploring Operation: 67-16=51, Resulting Numbers: [46, 3, 51]
Generated Node #2: [46, 3, 51] from Operation: 67-16=51
Current State: 29:[46, 3, 51], Operations: ['67-16=51']
Exploring Operation: 51/3=17, Resulting Numbers: [46, 17]
Generated Node #3: [46, 17] from Operation: 51/3=17
Current State: 29:[46, 17], Operations: ['67-16=51', '51/3=17']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[16, 67, 46, 3], Operations: []
Exploring Operation: 46-16=30, Resulting Numbers: [67, 3, 30]
Generated Node #0,0: 29:[67, 3, 30] Operation: 46-16=30
Exploring Operation: 67-46=21, Resulting Numbers: [16, 3, 21]
Generated Node #0,1: 29:[16, 3, 21] Operation: 67-46=21
Exploring Operation: 16+3=19, Resulting Numbers: [67, 46, 19]
Generated Node #0,2: 29:[67, 46, 19] Operation: 16+3=19
Exploring Operation: 67-16=51, Resulting Numbers: [46, 3, 51]
Generated Node #0,3: 29:[46, 3, 51] Operation: 67-16=51
Moving to Node #0,1
Current State: 29:[16, 3, 21], Operations: ['67-46=21']
Exploring Operation: 16-3=13, Resulting Numbers: [21, 13]
Generated Node #0,1,0: 29:[21, 13] Operation: 16-3=13
Exploring Operation: 21-3=18, Resulting Numbers: [16, 18]
Generated Node #0,1,1: 29:[16, 18] Operation: 21-3=18
Exploring Operation: 16+3=19, Resulting Numbers: [21, 19]
Generated Node #0,1,2: 29:[21, 19] Operation: 16+3=19
Exploring Operation: 3+21=24, Resulting Numbers: [16, 24]
Generated Node #0,1,3: 29:[16, 24] Operation: 3+21=24
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 29:[21, 19], Operations: ['67-46=21', '16+3=19']
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 21*19=399, Resulting Numbers: [399]
399,29 unequal: No Solution
Exploring Operation: 21+19=40, Resulting Numbers: [40]
40,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 29:[16, 24], Operations: ['67-46=21', '3+21=24']
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,29 unequal: No Solution
Exploring Operation: 16*24=384, Resulting Numbers: [384]
384,29 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[21, 13], Operations: ['67-46=21', '16-3=13']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,29 unequal: No Solution
Exploring Operation: 21*13=273, Resulting Numbers: [273]
273,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 29:[16, 18], Operations: ['67-46=21', '21-3=18']
Exploring Operation: 16*18=288, Resulting Numbers: [288]
288,29 unequal: No Solution
Exploring Operation: 16+18=34, Resulting Numbers: [34]
34,29 unequal: No Solution
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,29 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: 29:[67, 46, 19], Operations: ['16+3=19']
Exploring Operation: 46-19=27, Resulting Numbers: [67, 27]
Generated Node #0,2,0: 29:[67, 27] Operation: 46-19=27
Exploring Operation: 67-19=48, Resulting Numbers: [46, 48]
Generated Node #0,2,1: 29:[46, 48] Operation: 67-19=48
Exploring Operation: 67-46=21, Resulting Numbers: [19, 21]
Generated Node #0,2,2: 29:[19, 21] Operation: 67-46=21
Exploring Operation: 67+19=86, Resulting Numbers: [46, 86]
Generated Node #0,2,3: 29:[46, 86] Operation: 67+19=86
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 29:[19, 21], Operations: ['16+3=19', '67-46=21']
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 19+21=40, Resulting Numbers: [40]
40,29 unequal: No Solution
Exploring Operation: 19*21=399, Resulting Numbers: [399]
399,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[46, 48], Operations: ['16+3=19', '67-19=48']
Exploring Operation: 46+48=94, Resulting Numbers: [94]
94,29 unequal: No Solution
Exploring Operation: 46*48=2208, Resulting Numbers: [2208]
2208,29 unequal: No Solution
Exploring Operation: 48-46=2, Resulting Numbers: [2]
2,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[67, 27], Operations: ['16+3=19', '46-19=27']
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,29 unequal: No Solution
Exploring Operation: 67+27=94, Resulting Numbers: [94]
94,29 unequal: No Solution
Exploring Operation: 67*27=1809, Resulting Numbers: [1809]
1809,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 29:[46, 86], Operations: ['16+3=19', '67+19=86']
Exploring Operation: 86-46=40, Resulting Numbers: [40]
40,29 unequal: No Solution
Exploring Operation: 46+86=132, Resulting Numbers: [132]
132,29 unequal: No Solution
Exploring Operation: 46*86=3956, Resulting Numbers: [3956]
3956,29 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: 29:[67, 3, 30], Operations: ['46-16=30']
Exploring Operation: 67+3=70, Resulting Numbers: [30, 70]
Generated Node #0,0,0: 29:[30, 70] Operation: 67+3=70
Exploring Operation: 67-30=37, Resulting Numbers: [3, 37]
Generated Node #0,0,1: 29:[3, 37] Operation: 67-30=37
Exploring Operation: 67-3=64, Resulting Numbers: [30, 64]
Generated Node #0,0,2: 29:[30, 64] Operation: 67-3=64
Exploring Operation: 30-3=27, Resulting Numbers: [67, 27]
Generated Node #0,0,3: 29:[67, 27] Operation: 30-3=27
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[3, 37], Operations: ['46-16=30', '67-30=37']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,29 unequal: No Solution
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,29 unequal: No Solution
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 29:[30, 64], Operations: ['46-16=30', '67-3=64']
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,29 unequal: No Solution
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,29 unequal: No Solution
Exploring Operation: 30*64=1920, Resulting Numbers: [1920]
1920,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 29:[67, 27], Operations: ['46-16=30', '30-3=27']
Exploring Operation: 67+27=94, Resulting Numbers: [94]
94,29 unequal: No Solution
Exploring Operation: 67*27=1809, Resulting Numbers: [1809]
1809,29 unequal: No Solution
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[30, 70], Operations: ['46-16=30', '67+3=70']
Exploring Operation: 30*70=2100, Resulting Numbers: [2100]
2100,29 unequal: No Solution
Exploring Operation: 30+70=100, Resulting Numbers: [100]
100,29 unequal: No Solution
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 29:[46, 3, 51], Operations: ['67-16=51']
Exploring Operation: 51/3=17, Resulting Numbers: [46, 17]
Generated Node #0,3,0: 29:[46, 17] Operation: 51/3=17
Exploring Operation: 46-3=43, Resulting Numbers: [51, 43]
Generated Node #0,3,1: 29:[51, 43] Operation: 46-3=43
Exploring Operation: 46+3=49, Resulting Numbers: [51, 49]
Generated Node #0,3,2: 29:[51, 49] Operation: 46+3=49
Exploring Operation: 51-3=48, Resulting Numbers: [46, 48]
Generated Node #0,3,3: 29:[46, 48] Operation: 51-3=48
Moving to Node #0,3,0
Current State: 29:[46, 17], Operations: ['67-16=51', '51/3=17']
Exploring Operation: 46*17=782, Resulting Numbers: [782]
782,29 unequal: No Solution
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[16, 67, 46, 3], Operations: []
Exploring Operation: 67-16=51, Resulting Numbers: [46, 3, 51]
Generated Node #0,3: 29:[46, 3, 51] Operation: 67-16=51
Moving to Node #0,3
Current State: 29:[46, 3, 51], Operations: ['67-16=51']
Exploring Operation: 51/3=17, Resulting Numbers: [46, 17]
Generated Node #0,3,0: 29:[46, 17] Operation: 51/3=17
Moving to Node #0,3,0
Current State: 29:[46, 17], Operations: ['67-16=51', '51/3=17']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 0.946181 | hs_4 | mult_heuristic |
[
65,
31,
88,
67
] | 55 | [
"65-31=34",
"88-67=21",
"34+21=55"
] | Current State: 55:[65, 31, 88, 67], Operations: []
Exploring Operation: 65-31=34, Resulting Numbers: [88, 67, 34]
Generated Node #2: [88, 67, 34] from Operation: 65-31=34
Current State: 55:[88, 67, 34], Operations: ['65-31=34']
Exploring Operation: 88-67=21, Resulting Numbers: [34, 21]
Generated Node #3: [34, 21] from Operation: 88-67=21
Current State: 55:[34, 21], Operations: ['65-31=34', '88-67=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[65, 31, 88, 67], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [65, 31, 21]
Generated Node #0,0: 55:[65, 31, 21] Operation: 88-67=21
Exploring Operation: 88-31=57, Resulting Numbers: [65, 67, 57]
Generated Node #0,1: 55:[65, 67, 57] Operation: 88-31=57
Exploring Operation: 88-65=23, Resulting Numbers: [31, 67, 23]
Generated Node #0,2: 55:[31, 67, 23] Operation: 88-65=23
Exploring Operation: 67-65=2, Resulting Numbers: [31, 88, 2]
Generated Node #0,3: 55:[31, 88, 2] Operation: 67-65=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[65, 67, 57], Operations: ['88-31=57']
Exploring Operation: 67-65=2, Resulting Numbers: [57, 2]
Generated Node #0,1,0: 55:[57, 2] Operation: 67-65=2
Exploring Operation: 65+67=132, Resulting Numbers: [57, 132]
Generated Node #0,1,1: 55:[57, 132] Operation: 65+67=132
Exploring Operation: 67-57=10, Resulting Numbers: [65, 10]
Generated Node #0,1,2: 55:[65, 10] Operation: 67-57=10
Exploring Operation: 65-57=8, Resulting Numbers: [67, 8]
Generated Node #0,1,3: 55:[67, 8] Operation: 65-57=8
Moving to Node #0,1,0
Current State: 55:[57, 2], Operations: ['88-31=57', '67-65=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[65, 31, 88, 67], Operations: []
Exploring Operation: 88-31=57, Resulting Numbers: [65, 67, 57]
Generated Node #0,1: 55:[65, 67, 57] Operation: 88-31=57
Moving to Node #0,1
Current State: 55:[65, 67, 57], Operations: ['88-31=57']
Exploring Operation: 67-65=2, Resulting Numbers: [57, 2]
Generated Node #0,1,0: 55:[57, 2] Operation: 67-65=2
Moving to Node #0,1,0
Current State: 55:[57, 2], Operations: ['88-31=57', '67-65=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
11,
5,
38,
69
] | 72 | [
"38-5=33",
"33/11=3",
"69+3=72"
] | Current State: 72:[11, 5, 38, 69], Operations: []
Exploring Operation: 38-5=33, Resulting Numbers: [11, 69, 33]
Generated Node #2: [11, 69, 33] from Operation: 38-5=33
Current State: 72:[11, 69, 33], Operations: ['38-5=33']
Exploring Operation: 33/11=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 33/11=3
Current State: 72:[69, 3], Operations: ['38-5=33', '33/11=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[11, 5, 38, 69], Operations: []
Exploring Operation: 11+5=16, Resulting Numbers: [38, 69, 16]
Generated Node #0,0: 72:[38, 69, 16] Operation: 11+5=16
Exploring Operation: 38-11=27, Resulting Numbers: [5, 69, 27]
Generated Node #0,1: 72:[5, 69, 27] Operation: 38-11=27
Exploring Operation: 11-5=6, Resulting Numbers: [38, 69, 6]
Generated Node #0,2: 72:[38, 69, 6] Operation: 11-5=6
Exploring Operation: 5+69=74, Resulting Numbers: [11, 38, 74]
Generated Node #0,3: 72:[11, 38, 74] Operation: 5+69=74
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[38, 69, 6], Operations: ['11-5=6']
Exploring Operation: 69-38=31, Resulting Numbers: [6, 31]
Generated Node #0,2,0: 72:[6, 31] Operation: 69-38=31
Exploring Operation: 38-6=32, Resulting Numbers: [69, 32]
Generated Node #0,2,1: 72:[69, 32] Operation: 38-6=32
Exploring Operation: 69+6=75, Resulting Numbers: [38, 75]
Generated Node #0,2,2: 72:[38, 75] Operation: 69+6=75
Exploring Operation: 38+6=44, Resulting Numbers: [69, 44]
Generated Node #0,2,3: 72:[69, 44] Operation: 38+6=44
Moving to Node #0,2,0
Current State: 72:[6, 31], Operations: ['11-5=6', '69-38=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 6*31=186, Resulting Numbers: [186]
186,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[38, 75], Operations: ['11-5=6', '69+6=75']
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 38*75=2850, Resulting Numbers: [2850]
2850,72 unequal: No Solution
Exploring Operation: 38+75=113, Resulting Numbers: [113]
113,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[69, 32], Operations: ['11-5=6', '38-6=32']
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 69*32=2208, Resulting Numbers: [2208]
2208,72 unequal: No Solution
Exploring Operation: 69+32=101, Resulting Numbers: [101]
101,72 unequal: No Solution
Moving to Node #0,2,3
Current State: 72:[69, 44], Operations: ['11-5=6', '38+6=44']
Exploring Operation: 69-44=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 69*44=3036, Resulting Numbers: [3036]
3036,72 unequal: No Solution
Exploring Operation: 69+44=113, Resulting Numbers: [113]
113,72 unequal: No Solution
No 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: 72:[11, 38, 74], Operations: ['5+69=74']
Exploring Operation: 74-11=63, Resulting Numbers: [38, 63]
Generated Node #0,3,0: 72:[38, 63] Operation: 74-11=63
Exploring Operation: 11+38=49, Resulting Numbers: [74, 49]
Generated Node #0,3,1: 72:[74, 49] Operation: 11+38=49
Exploring Operation: 74-38=36, Resulting Numbers: [11, 36]
Generated Node #0,3,2: 72:[11, 36] Operation: 74-38=36
Exploring Operation: 38-11=27, Resulting Numbers: [74, 27]
Generated Node #0,3,3: 72:[74, 27] Operation: 38-11=27
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 72:[11, 36], Operations: ['5+69=74', '74-38=36']
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,72 unequal: No Solution
No 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: 72:[74, 27], Operations: ['5+69=74', '38-11=27']
Exploring Operation: 74+27=101, Resulting Numbers: [101]
101,72 unequal: No Solution
Exploring Operation: 74*27=1998, Resulting Numbers: [1998]
1998,72 unequal: No Solution
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,72 unequal: No Solution
No 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: 72:[38, 63], Operations: ['5+69=74', '74-11=63']
Exploring Operation: 38+63=101, Resulting Numbers: [101]
101,72 unequal: No Solution
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 38*63=2394, Resulting Numbers: [2394]
2394,72 unequal: No Solution
No 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: 72:[74, 49], Operations: ['5+69=74', '11+38=49']
Exploring Operation: 74*49=3626, Resulting Numbers: [3626]
3626,72 unequal: No Solution
Exploring Operation: 74+49=123, Resulting Numbers: [123]
123,72 unequal: No Solution
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,72 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: 72:[38, 69, 16], Operations: ['11+5=16']
Exploring Operation: 69-38=31, Resulting Numbers: [16, 31]
Generated Node #0,0,0: 72:[16, 31] Operation: 69-38=31
Exploring Operation: 69-16=53, Resulting Numbers: [38, 53]
Generated Node #0,0,1: 72:[38, 53] Operation: 69-16=53
Exploring Operation: 38-16=22, Resulting Numbers: [69, 22]
Generated Node #0,0,2: 72:[69, 22] Operation: 38-16=22
Exploring Operation: 69+16=85, Resulting Numbers: [38, 85]
Generated Node #0,0,3: 72:[38, 85] Operation: 69+16=85
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 72:[69, 22], Operations: ['11+5=16', '38-16=22']
Exploring Operation: 69+22=91, Resulting Numbers: [91]
91,72 unequal: No Solution
Exploring Operation: 69*22=1518, Resulting Numbers: [1518]
1518,72 unequal: No Solution
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,72 unequal: No Solution
No 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: 72:[16, 31], Operations: ['11+5=16', '69-38=31']
Exploring Operation: 16*31=496, Resulting Numbers: [496]
496,72 unequal: No Solution
Exploring Operation: 16+31=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,72 unequal: No Solution
No 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: 72:[38, 85], Operations: ['11+5=16', '69+16=85']
Exploring Operation: 38+85=123, Resulting Numbers: [123]
123,72 unequal: No Solution
Exploring Operation: 85-38=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 38*85=3230, Resulting Numbers: [3230]
3230,72 unequal: No Solution
No 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: 72:[38, 53], Operations: ['11+5=16', '69-16=53']
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Exploring Operation: 38+53=91, Resulting Numbers: [91]
91,72 unequal: No Solution
Exploring Operation: 38*53=2014, Resulting Numbers: [2014]
2014,72 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: 72:[5, 69, 27], Operations: ['38-11=27']
Exploring Operation: 5+27=32, Resulting Numbers: [69, 32]
Generated Node #0,1,0: 72:[69, 32] Operation: 5+27=32
Exploring Operation: 69-27=42, Resulting Numbers: [5, 42]
Generated Node #0,1,1: 72:[5, 42] Operation: 69-27=42
Exploring Operation: 27-5=22, Resulting Numbers: [69, 22]
Generated Node #0,1,2: 72:[69, 22] Operation: 27-5=22
Exploring Operation: 5+69=74, Resulting Numbers: [27, 74]
Generated Node #0,1,3: 72:[27, 74] Operation: 5+69=74
Moving to Node #0,1,2
Current State: 72:[69, 22], Operations: ['38-11=27', '27-5=22']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 69+22=91, Resulting Numbers: [91]
91,72 unequal: No Solution
Exploring Operation: 69*22=1518, Resulting Numbers: [1518]
1518,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[27, 74], Operations: ['38-11=27', '5+69=74']
Exploring Operation: 27*74=1998, Resulting Numbers: [1998]
1998,72 unequal: No Solution
Exploring Operation: 27+74=101, Resulting Numbers: [101]
101,72 unequal: No Solution
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[5, 42], Operations: ['38-11=27', '69-27=42']
Exploring Operation: 5*42=210, Resulting Numbers: [210]
210,72 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[69, 32], Operations: ['38-11=27', '5+27=32']
Exploring Operation: 69+32=101, Resulting Numbers: [101]
101,72 unequal: No Solution
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 69*32=2208, Resulting Numbers: [2208]
2208,72 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 |
[
53,
64,
79,
19
] | 49 | [
"64-53=11",
"79-19=60",
"60-11=49"
] | Current State: 49:[53, 64, 79, 19], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [79, 19, 11]
Generated Node #2: [79, 19, 11] from Operation: 64-53=11
Current State: 49:[79, 19, 11], Operations: ['64-53=11']
Exploring Operation: 79-19=60, Resulting Numbers: [11, 60]
Generated Node #3: [11, 60] from Operation: 79-19=60
Current State: 49:[11, 60], Operations: ['64-53=11', '79-19=60']
Exploring Operation: 60-11=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[53, 64, 79, 19], Operations: []
Exploring Operation: 79-19=60, Resulting Numbers: [53, 64, 60]
Generated Node #0,0: 49:[53, 64, 60] Operation: 79-19=60
Exploring Operation: 79-64=15, Resulting Numbers: [53, 19, 15]
Generated Node #0,1: 49:[53, 19, 15] Operation: 79-64=15
Moving to Node #0,1
Current State: 49:[53, 19, 15], Operations: ['79-64=15']
Exploring Operation: 19-15=4, Resulting Numbers: [53, 4]
Generated Node #0,1,0: 49:[53, 4] Operation: 19-15=4
Exploring Operation: 19+15=34, Resulting Numbers: [53, 34]
Generated Node #0,1,1: 49:[53, 34] Operation: 19+15=34
Moving to Node #0,0
Current State: 49:[53, 64, 60], Operations: ['79-19=60']
Exploring Operation: 64-60=4, Resulting Numbers: [53, 4]
Generated Node #0,0,0: 49:[53, 4] Operation: 64-60=4
Exploring Operation: 64-53=11, Resulting Numbers: [60, 11]
Generated Node #0,0,1: 49:[60, 11] Operation: 64-53=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[53, 4], Operations: ['79-19=60', '64-60=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[53, 64, 79, 19], Operations: []
Exploring Operation: 79-19=60, Resulting Numbers: [53, 64, 60]
Generated Node #0,0: 49:[53, 64, 60] Operation: 79-19=60
Moving to Node #0,0
Current State: 49:[53, 64, 60], Operations: ['79-19=60']
Exploring Operation: 64-60=4, Resulting Numbers: [53, 4]
Generated Node #0,0,0: 49:[53, 4] Operation: 64-60=4
Moving to Node #0,0,0
Current State: 49:[53, 4], Operations: ['79-19=60', '64-60=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
10,
48,
44,
97
] | 50 | [
"48+44=92",
"97-92=5",
"10*5=50"
] | Current State: 50:[10, 48, 44, 97], Operations: []
Exploring Operation: 48+44=92, Resulting Numbers: [10, 97, 92]
Generated Node #2: [10, 97, 92] from Operation: 48+44=92
Current State: 50:[10, 97, 92], Operations: ['48+44=92']
Exploring Operation: 97-92=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 97-92=5
Current State: 50:[10, 5], Operations: ['48+44=92', '97-92=5']
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[10, 48, 44, 97], Operations: []
Exploring Operation: 97-48=49, Resulting Numbers: [10, 44, 49]
Generated Node #0,0: 50:[10, 44, 49] Operation: 97-48=49
Exploring Operation: 97-44=53, Resulting Numbers: [10, 48, 53]
Generated Node #0,1: 50:[10, 48, 53] Operation: 97-44=53
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[10, 48, 53], Operations: ['97-44=53']
Exploring Operation: 53-48=5, Resulting Numbers: [10, 5]
Generated Node #0,1,0: 50:[10, 5] Operation: 53-48=5
Exploring Operation: 53-10=43, Resulting Numbers: [48, 43]
Generated Node #0,1,1: 50:[48, 43] Operation: 53-10=43
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[10, 5], Operations: ['97-44=53', '53-48=5']
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[10, 48, 44, 97], Operations: []
Exploring Operation: 97-44=53, Resulting Numbers: [10, 48, 53]
Generated Node #0,1: 50:[10, 48, 53] Operation: 97-44=53
Moving to Node #0,1
Current State: 50:[10, 48, 53], Operations: ['97-44=53']
Exploring Operation: 53-48=5, Resulting Numbers: [10, 5]
Generated Node #0,1,0: 50:[10, 5] Operation: 53-48=5
Moving to Node #0,1,0
Current State: 50:[10, 5], Operations: ['97-44=53', '53-48=5']
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
32,
34,
37,
54
] | 41 | [
"34*37=1258",
"54+1258=1312",
"1312/32=41"
] | Current State: 41:[32, 34, 37, 54], Operations: []
Exploring Operation: 34*37=1258, Resulting Numbers: [32, 54, 1258]
Generated Node #2: [32, 54, 1258] from Operation: 34*37=1258
Current State: 41:[32, 54, 1258], Operations: ['34*37=1258']
Exploring Operation: 54+1258=1312, Resulting Numbers: [32, 1312]
Generated Node #3: [32, 1312] from Operation: 54+1258=1312
Current State: 41:[32, 1312], Operations: ['34*37=1258', '54+1258=1312']
Exploring Operation: 1312/32=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[32, 34, 37, 54], Operations: []
Exploring Operation: 54-32=22, Resulting Numbers: [34, 37, 22]
Generated Node #0,0: 41:[34, 37, 22] Operation: 54-32=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[34, 37, 22], Operations: ['54-32=22']
Exploring Operation: 34+22=56, Resulting Numbers: [37, 56]
Generated Node #0,0,0: 41:[37, 56] Operation: 34+22=56
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[37, 56], Operations: ['54-32=22', '34+22=56']
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
39,
37,
88,
48
] | 13 | [
"88-37=51",
"51-48=3",
"39/3=13"
] | Current State: 13:[39, 37, 88, 48], Operations: []
Exploring Operation: 88-37=51, Resulting Numbers: [39, 48, 51]
Generated Node #2: [39, 48, 51] from Operation: 88-37=51
Current State: 13:[39, 48, 51], Operations: ['88-37=51']
Exploring Operation: 51-48=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 51-48=3
Current State: 13:[39, 3], Operations: ['88-37=51', '51-48=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[39, 37, 88, 48], Operations: []
Exploring Operation: 88-37=51, Resulting Numbers: [39, 48, 51]
Generated Node #0,0: 13:[39, 48, 51] Operation: 88-37=51
Exploring Operation: 48-37=11, Resulting Numbers: [39, 88, 11]
Generated Node #0,1: 13:[39, 88, 11] Operation: 48-37=11
Exploring Operation: 88-48=40, Resulting Numbers: [39, 37, 40]
Generated Node #0,2: 13:[39, 37, 40] Operation: 88-48=40
Exploring Operation: 88-39=49, Resulting Numbers: [37, 48, 49]
Generated Node #0,3: 13:[37, 48, 49] Operation: 88-39=49
Exploring Operation: 48-39=9, Resulting Numbers: [37, 88, 9]
Generated Node #0,4: 13:[37, 88, 9] Operation: 48-39=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[39, 37, 40], Operations: ['88-48=40']
Exploring Operation: 39+37=76, Resulting Numbers: [40, 76]
Generated Node #0,2,0: 13:[40, 76] Operation: 39+37=76
Exploring Operation: 40-39=1, Resulting Numbers: [37, 1]
Generated Node #0,2,1: 13:[37, 1] Operation: 40-39=1
Exploring Operation: 39+40=79, Resulting Numbers: [37, 79]
Generated Node #0,2,2: 13:[37, 79] Operation: 39+40=79
Exploring Operation: 39-37=2, Resulting Numbers: [40, 2]
Generated Node #0,2,3: 13:[40, 2] Operation: 39-37=2
Exploring Operation: 40-37=3, Resulting Numbers: [39, 3]
Generated Node #0,2,4: 13:[39, 3] Operation: 40-37=3
Moving to Node #0,2,1
Current State: 13:[37, 1], Operations: ['88-48=40', '40-39=1']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 37+1=38, Resulting Numbers: [38]
38,13 unequal: No Solution
Moving to Node #0,2,4
Current State: 13:[39, 3], Operations: ['88-48=40', '40-37=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[39, 37, 88, 48], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [39, 37, 40]
Generated Node #0,2: 13:[39, 37, 40] Operation: 88-48=40
Moving to Node #0,2
Current State: 13:[39, 37, 40], Operations: ['88-48=40']
Exploring Operation: 40-37=3, Resulting Numbers: [39, 3]
Generated Node #0,2,4: 13:[39, 3] Operation: 40-37=3
Moving to Node #0,2,4
Current State: 13:[39, 3], Operations: ['88-48=40', '40-37=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
48,
2,
22,
55
] | 90 | [
"48+22=70",
"70/2=35",
"55+35=90"
] | Current State: 90:[48, 2, 22, 55], Operations: []
Exploring Operation: 48+22=70, Resulting Numbers: [2, 55, 70]
Generated Node #2: [2, 55, 70] from Operation: 48+22=70
Current State: 90:[2, 55, 70], Operations: ['48+22=70']
Exploring Operation: 70/2=35, Resulting Numbers: [55, 35]
Generated Node #3: [55, 35] from Operation: 70/2=35
Current State: 90:[55, 35], Operations: ['48+22=70', '70/2=35']
Exploring Operation: 55+35=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[48, 2, 22, 55], Operations: []
Exploring Operation: 55-48=7, Resulting Numbers: [2, 22, 7]
Generated Node #0,0: 90:[2, 22, 7] Operation: 55-48=7
Exploring Operation: 55-22=33, Resulting Numbers: [48, 2, 33]
Generated Node #0,1: 90:[48, 2, 33] Operation: 55-22=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[2, 22, 7], Operations: ['55-48=7']
Exploring Operation: 22+7=29, Resulting Numbers: [2, 29]
Generated Node #0,0,0: 90:[2, 29] Operation: 22+7=29
Exploring Operation: 22-7=15, Resulting Numbers: [2, 15]
Generated Node #0,0,1: 90:[2, 15] Operation: 22-7=15
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 90:[2, 15], Operations: ['55-48=7', '22-7=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[2, 29], Operations: ['55-48=7', '22+7=29']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,90 unequal: No Solution
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[48, 2, 33], Operations: ['55-22=33']
Exploring Operation: 48-2=46, Resulting Numbers: [33, 46]
Generated Node #0,1,0: 90:[33, 46] Operation: 48-2=46
Exploring Operation: 48-33=15, Resulting Numbers: [2, 15]
Generated Node #0,1,1: 90:[2, 15] Operation: 48-33=15
Moving to Node #0,1,1
Current State: 90:[2, 15], Operations: ['55-22=33', '48-33=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[33, 46], Operations: ['55-22=33', '48-2=46']
Exploring Operation: 33+46=79, Resulting Numbers: [79]
79,90 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,90 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 |
[
99,
26,
44,
84
] | 55 | [
"99-26=73",
"44+84=128",
"128-73=55"
] | Current State: 55:[99, 26, 44, 84], Operations: []
Exploring Operation: 99-26=73, Resulting Numbers: [44, 84, 73]
Generated Node #2: [44, 84, 73] from Operation: 99-26=73
Current State: 55:[44, 84, 73], Operations: ['99-26=73']
Exploring Operation: 44+84=128, Resulting Numbers: [73, 128]
Generated Node #3: [73, 128] from Operation: 44+84=128
Current State: 55:[73, 128], Operations: ['99-26=73', '44+84=128']
Exploring Operation: 128-73=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[99, 26, 44, 84], Operations: []
Exploring Operation: 99-44=55, Resulting Numbers: [26, 84, 55]
Generated Node #0,0: 55:[26, 84, 55] Operation: 99-44=55
Exploring Operation: 99-26=73, Resulting Numbers: [44, 84, 73]
Generated Node #0,1: 55:[44, 84, 73] Operation: 99-26=73
Exploring Operation: 99-84=15, Resulting Numbers: [26, 44, 15]
Generated Node #0,2: 55:[26, 44, 15] Operation: 99-84=15
Exploring Operation: 84-26=58, Resulting Numbers: [99, 44, 58]
Generated Node #0,3: 55:[99, 44, 58] Operation: 84-26=58
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[26, 44, 15], Operations: ['99-84=15']
Exploring Operation: 44+15=59, Resulting Numbers: [26, 59]
Generated Node #0,2,0: 55:[26, 59] Operation: 44+15=59
Exploring Operation: 26+44=70, Resulting Numbers: [15, 70]
Generated Node #0,2,1: 55:[15, 70] Operation: 26+44=70
Exploring Operation: 26-15=11, Resulting Numbers: [44, 11]
Generated Node #0,2,2: 55:[44, 11] Operation: 26-15=11
Exploring Operation: 44-26=18, Resulting Numbers: [15, 18]
Generated Node #0,2,3: 55:[15, 18] Operation: 44-26=18
Moving to Node #0,2,2
Current State: 55:[44, 11], Operations: ['99-84=15', '26-15=11']
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,55 unequal: No Solution
Exploring Operation: 44+11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[99, 26, 44, 84], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [26, 44, 15]
Generated Node #0,2: 55:[26, 44, 15] Operation: 99-84=15
Moving to Node #0,2
Current State: 55:[26, 44, 15], Operations: ['99-84=15']
Exploring Operation: 26-15=11, Resulting Numbers: [44, 11]
Generated Node #0,2,2: 55:[44, 11] Operation: 26-15=11
Moving to Node #0,2,2
Current State: 55:[44, 11], Operations: ['99-84=15', '26-15=11']
Exploring Operation: 44+11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
54,
40,
12,
8
] | 21 | [
"54-40=14",
"12*14=168",
"168/8=21"
] | Current State: 21:[54, 40, 12, 8], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [12, 8, 14]
Generated Node #2: [12, 8, 14] from Operation: 54-40=14
Current State: 21:[12, 8, 14], Operations: ['54-40=14']
Exploring Operation: 12*14=168, Resulting Numbers: [8, 168]
Generated Node #3: [8, 168] from Operation: 12*14=168
Current State: 21:[8, 168], Operations: ['54-40=14', '12*14=168']
Exploring Operation: 168/8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[54, 40, 12, 8], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [12, 8, 14]
Generated Node #0,0: 21:[12, 8, 14] Operation: 54-40=14
Exploring Operation: 40/8=5, Resulting Numbers: [54, 12, 5]
Generated Node #0,1: 21:[54, 12, 5] Operation: 40/8=5
Exploring Operation: 54-12=42, Resulting Numbers: [40, 8, 42]
Generated Node #0,2: 21:[40, 8, 42] Operation: 54-12=42
Exploring Operation: 40-12=28, Resulting Numbers: [54, 8, 28]
Generated Node #0,3: 21:[54, 8, 28] Operation: 40-12=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[12, 8, 14], Operations: ['54-40=14']
Exploring Operation: 14-12=2, Resulting Numbers: [8, 2]
Generated Node #0,0,0: 21:[8, 2] Operation: 14-12=2
Exploring Operation: 14-8=6, Resulting Numbers: [12, 6]
Generated Node #0,0,1: 21:[12, 6] Operation: 14-8=6
Exploring Operation: 12+14=26, Resulting Numbers: [8, 26]
Generated Node #0,0,2: 21:[8, 26] Operation: 12+14=26
Exploring Operation: 8+14=22, Resulting Numbers: [12, 22]
Generated Node #0,0,3: 21:[12, 22] Operation: 8+14=22
Moving to Node #0,0,0
Current State: 21:[8, 2], Operations: ['54-40=14', '14-12=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,21 unequal: No Solution
Moving to Node #0,0,2
Current State: 21:[8, 26], Operations: ['54-40=14', '12+14=26']
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[12, 6], Operations: ['54-40=14', '14-8=6']
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,21 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Moving to Node #0,0,3
Current State: 21:[12, 22], Operations: ['54-40=14', '8+14=22']
Exploring Operation: 12*22=264, Resulting Numbers: [264]
264,21 unequal: No Solution
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 12+22=34, Resulting Numbers: [34]
34,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[54, 12, 5], Operations: ['40/8=5']
Exploring Operation: 12+5=17, Resulting Numbers: [54, 17]
Generated Node #0,1,0: 21:[54, 17] Operation: 12+5=17
Exploring Operation: 12-5=7, Resulting Numbers: [54, 7]
Generated Node #0,1,1: 21:[54, 7] Operation: 12-5=7
Exploring Operation: 54-12=42, Resulting Numbers: [5, 42]
Generated Node #0,1,2: 21:[5, 42] Operation: 54-12=42
Exploring Operation: 54-5=49, Resulting Numbers: [12, 49]
Generated Node #0,1,3: 21:[12, 49] Operation: 54-5=49
Moving to Node #0,1,2
Current State: 21:[5, 42], Operations: ['40/8=5', '54-12=42']
Exploring Operation: 5*42=210, Resulting Numbers: [210]
210,21 unequal: No Solution
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,21 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,21 unequal: No Solution
Moving to Node #0,1,3
Current State: 21:[12, 49], Operations: ['40/8=5', '54-5=49']
Exploring Operation: 12*49=588, Resulting Numbers: [588]
588,21 unequal: No Solution
Exploring Operation: 12+49=61, Resulting Numbers: [61]
61,21 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[54, 7], Operations: ['40/8=5', '12-5=7']
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,21 unequal: No Solution
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,21 unequal: No Solution
Exploring Operation: 54*7=378, Resulting Numbers: [378]
378,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[54, 17], Operations: ['40/8=5', '12+5=17']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,21 unequal: No Solution
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,21 unequal: No Solution
Exploring Operation: 54*17=918, Resulting Numbers: [918]
918,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[40, 8, 42], Operations: ['54-12=42']
Exploring Operation: 40-8=32, Resulting Numbers: [42, 32]
Generated Node #0,2,0: 21:[42, 32] Operation: 40-8=32
Exploring Operation: 40/8=5, Resulting Numbers: [42, 5]
Generated Node #0,2,1: 21:[42, 5] Operation: 40/8=5
Exploring Operation: 42-40=2, Resulting Numbers: [8, 2]
Generated Node #0,2,2: 21:[8, 2] Operation: 42-40=2
Exploring Operation: 42-8=34, Resulting Numbers: [40, 34]
Generated Node #0,2,3: 21:[40, 34] Operation: 42-8=34
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 21:[8, 2], Operations: ['54-12=42', '42-40=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 21:[42, 5], Operations: ['54-12=42', '40/8=5']
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,21 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,21 unequal: No Solution
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 21:[42, 32], Operations: ['54-12=42', '40-8=32']
Exploring Operation: 42+32=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 42*32=1344, Resulting Numbers: [1344]
1344,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 21:[40, 34], Operations: ['54-12=42', '42-8=34']
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 40*34=1360, Resulting Numbers: [1360]
1360,21 unequal: No Solution
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 21:[54, 8, 28], Operations: ['40-12=28']
Exploring Operation: 54-8=46, Resulting Numbers: [28, 46]
Generated Node #0,3,0: 21:[28, 46] Operation: 54-8=46
Exploring Operation: 54+8=62, Resulting Numbers: [28, 62]
Generated Node #0,3,1: 21:[28, 62] Operation: 54+8=62
Exploring Operation: 28-8=20, Resulting Numbers: [54, 20]
Generated Node #0,3,2: 21:[54, 20] Operation: 28-8=20
Exploring Operation: 54-28=26, Resulting Numbers: [8, 26]
Generated Node #0,3,3: 21:[8, 26] Operation: 54-28=26
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 21:[8, 26], Operations: ['40-12=28', '54-28=26']
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,21 unequal: No Solution
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 21:[28, 46], Operations: ['40-12=28', '54-8=46']
Exploring Operation: 28+46=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 28*46=1288, Resulting Numbers: [1288]
1288,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 21:[54, 20], Operations: ['40-12=28', '28-8=20']
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 21:[28, 62], Operations: ['40-12=28', '54+8=62']
Exploring Operation: 28*62=1736, Resulting Numbers: [1736]
1736,21 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
45,
44,
75,
48
] | 26 | [
"45-44=1",
"75-48=27",
"27-1=26"
] | Current State: 26:[45, 44, 75, 48], Operations: []
Exploring Operation: 45-44=1, Resulting Numbers: [75, 48, 1]
Generated Node #2: [75, 48, 1] from Operation: 45-44=1
Current State: 26:[75, 48, 1], Operations: ['45-44=1']
Exploring Operation: 75-48=27, Resulting Numbers: [1, 27]
Generated Node #3: [1, 27] from Operation: 75-48=27
Current State: 26:[1, 27], Operations: ['45-44=1', '75-48=27']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[45, 44, 75, 48], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [44, 75, 3]
Generated Node #0,0: 26:[44, 75, 3] Operation: 48-45=3
Exploring Operation: 75-44=31, Resulting Numbers: [45, 48, 31]
Generated Node #0,1: 26:[45, 48, 31] Operation: 75-44=31
Exploring Operation: 75-45=30, Resulting Numbers: [44, 48, 30]
Generated Node #0,2: 26:[44, 48, 30] Operation: 75-45=30
Exploring Operation: 75-48=27, Resulting Numbers: [45, 44, 27]
Generated Node #0,3: 26:[45, 44, 27] Operation: 75-48=27
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[45, 44, 27], Operations: ['75-48=27']
Exploring Operation: 45+44=89, Resulting Numbers: [27, 89]
Generated Node #0,3,0: 26:[27, 89] Operation: 45+44=89
Exploring Operation: 45-27=18, Resulting Numbers: [44, 18]
Generated Node #0,3,1: 26:[44, 18] Operation: 45-27=18
Exploring Operation: 44-27=17, Resulting Numbers: [45, 17]
Generated Node #0,3,2: 26:[45, 17] Operation: 44-27=17
Exploring Operation: 45-44=1, Resulting Numbers: [27, 1]
Generated Node #0,3,3: 26:[27, 1] Operation: 45-44=1
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 26:[27, 1], Operations: ['75-48=27', '45-44=1']
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[45, 44, 75, 48], Operations: []
Exploring Operation: 75-48=27, Resulting Numbers: [45, 44, 27]
Generated Node #0,3: 26:[45, 44, 27] Operation: 75-48=27
Moving to Node #0,3
Current State: 26:[45, 44, 27], Operations: ['75-48=27']
Exploring Operation: 45-44=1, Resulting Numbers: [27, 1]
Generated Node #0,3,3: 26:[27, 1] Operation: 45-44=1
Moving to Node #0,3,3
Current State: 26:[27, 1], Operations: ['75-48=27', '45-44=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
72,
44,
92,
10
] | 88 | [
"92-72=20",
"44*20=880",
"880/10=88"
] | Current State: 88:[72, 44, 92, 10], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [44, 10, 20]
Generated Node #2: [44, 10, 20] from Operation: 92-72=20
Current State: 88:[44, 10, 20], Operations: ['92-72=20']
Exploring Operation: 44*20=880, Resulting Numbers: [10, 880]
Generated Node #3: [10, 880] from Operation: 44*20=880
Current State: 88:[10, 880], Operations: ['92-72=20', '44*20=880']
Exploring Operation: 880/10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[72, 44, 92, 10], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [44, 10, 20]
Generated Node #0,0: 88:[44, 10, 20] Operation: 92-72=20
Exploring Operation: 72-44=28, Resulting Numbers: [92, 10, 28]
Generated Node #0,1: 88:[92, 10, 28] Operation: 72-44=28
Exploring Operation: 92-44=48, Resulting Numbers: [72, 10, 48]
Generated Node #0,2: 88:[72, 10, 48] Operation: 92-44=48
Exploring Operation: 72-10=62, Resulting Numbers: [44, 92, 62]
Generated Node #0,3: 88:[44, 92, 62] Operation: 72-10=62
Exploring Operation: 72+10=82, Resulting Numbers: [44, 92, 82]
Generated Node #0,4: 88:[44, 92, 82] Operation: 72+10=82
Moving to Node #0,0
Current State: 88:[44, 10, 20], Operations: ['92-72=20']
Exploring Operation: 20-10=10, Resulting Numbers: [44, 10]
Generated Node #0,0,0: 88:[44, 10] Operation: 20-10=10
Exploring Operation: 44+10=54, Resulting Numbers: [20, 54]
Generated Node #0,0,1: 88:[20, 54] Operation: 44+10=54
Exploring Operation: 20/10=2, Resulting Numbers: [44, 2]
Generated Node #0,0,2: 88:[44, 2] Operation: 20/10=2
Exploring Operation: 10+20=30, Resulting Numbers: [44, 30]
Generated Node #0,0,3: 88:[44, 30] Operation: 10+20=30
Exploring Operation: 44-20=24, Resulting Numbers: [10, 24]
Generated Node #0,0,4: 88:[10, 24] Operation: 44-20=24
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 88:[44, 2], Operations: ['92-72=20', '20/10=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,88 unequal: No Solution
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[72, 44, 92, 10], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [44, 10, 20]
Generated Node #0,0: 88:[44, 10, 20] Operation: 92-72=20
Moving to Node #0,0
Current State: 88:[44, 10, 20], Operations: ['92-72=20']
Exploring Operation: 20/10=2, Resulting Numbers: [44, 2]
Generated Node #0,0,2: 88:[44, 2] Operation: 20/10=2
Moving to Node #0,0,2
Current State: 88:[44, 2], Operations: ['92-72=20', '20/10=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
42,
23,
38,
69
] | 67 | [
"42-23=19",
"38/19=2",
"69-2=67"
] | Current State: 67:[42, 23, 38, 69], Operations: []
Exploring Operation: 42-23=19, Resulting Numbers: [38, 69, 19]
Generated Node #2: [38, 69, 19] from Operation: 42-23=19
Current State: 67:[38, 69, 19], Operations: ['42-23=19']
Exploring Operation: 38/19=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 38/19=2
Current State: 67:[69, 2], Operations: ['42-23=19', '38/19=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[42, 23, 38, 69], Operations: []
Exploring Operation: 42+38=80, Resulting Numbers: [23, 69, 80]
Generated Node #0,0: 67:[23, 69, 80] Operation: 42+38=80
Exploring Operation: 23+38=61, Resulting Numbers: [42, 69, 61]
Generated Node #0,1: 67:[42, 69, 61] Operation: 23+38=61
Exploring Operation: 69-23=46, Resulting Numbers: [42, 38, 46]
Generated Node #0,2: 67:[42, 38, 46] Operation: 69-23=46
Exploring Operation: 42+23=65, Resulting Numbers: [38, 69, 65]
Generated Node #0,3: 67:[38, 69, 65] Operation: 42+23=65
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[42, 69, 61], Operations: ['23+38=61']
Exploring Operation: 69-42=27, Resulting Numbers: [61, 27]
Generated Node #0,1,0: 67:[61, 27] Operation: 69-42=27
Exploring Operation: 61-42=19, Resulting Numbers: [69, 19]
Generated Node #0,1,1: 67:[69, 19] Operation: 61-42=19
Exploring Operation: 42+69=111, Resulting Numbers: [61, 111]
Generated Node #0,1,2: 67:[61, 111] Operation: 42+69=111
Exploring Operation: 42+61=103, Resulting Numbers: [69, 103]
Generated Node #0,1,3: 67:[69, 103] Operation: 42+61=103
Moving to Node #0,1,3
Current State: 67:[69, 103], Operations: ['23+38=61', '42+61=103']
Exploring Operation: 69*103=7107, Resulting Numbers: [7107]
7107,67 unequal: No Solution
Exploring Operation: 69+103=172, Resulting Numbers: [172]
172,67 unequal: No Solution
Exploring Operation: 103-69=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[61, 27], Operations: ['23+38=61', '69-42=27']
Exploring Operation: 61+27=88, Resulting Numbers: [88]
88,67 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 61*27=1647, Resulting Numbers: [1647]
1647,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[61, 111], Operations: ['23+38=61', '42+69=111']
Exploring Operation: 61*111=6771, Resulting Numbers: [6771]
6771,67 unequal: No Solution
Exploring Operation: 111-61=50, Resulting Numbers: [50]
50,67 unequal: No Solution
Exploring Operation: 61+111=172, Resulting Numbers: [172]
172,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[69, 19], Operations: ['23+38=61', '61-42=19']
Exploring Operation: 69+19=88, Resulting Numbers: [88]
88,67 unequal: No Solution
Exploring Operation: 69*19=1311, Resulting Numbers: [1311]
1311,67 unequal: No Solution
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 67:[38, 69, 65], Operations: ['42+23=65']
Exploring Operation: 65-38=27, Resulting Numbers: [69, 27]
Generated Node #0,3,0: 67:[69, 27] Operation: 65-38=27
Exploring Operation: 69-38=31, Resulting Numbers: [65, 31]
Generated Node #0,3,1: 67:[65, 31] Operation: 69-38=31
Exploring Operation: 38+69=107, Resulting Numbers: [65, 107]
Generated Node #0,3,2: 67:[65, 107] Operation: 38+69=107
Exploring Operation: 38+65=103, Resulting Numbers: [69, 103]
Generated Node #0,3,3: 67:[69, 103] Operation: 38+65=103
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 67:[65, 31], Operations: ['42+23=65', '69-38=31']
Exploring Operation: 65+31=96, Resulting Numbers: [96]
96,67 unequal: No Solution
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 65*31=2015, Resulting Numbers: [2015]
2015,67 unequal: No Solution
No 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: 67:[69, 103], Operations: ['42+23=65', '38+65=103']
Exploring Operation: 69*103=7107, Resulting Numbers: [7107]
7107,67 unequal: No Solution
Exploring Operation: 69+103=172, Resulting Numbers: [172]
172,67 unequal: No Solution
Exploring Operation: 103-69=34, Resulting Numbers: [34]
34,67 unequal: No Solution
No 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: 67:[69, 27], Operations: ['42+23=65', '65-38=27']
Exploring Operation: 69-27=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 69+27=96, Resulting Numbers: [96]
96,67 unequal: No Solution
Exploring Operation: 69*27=1863, Resulting Numbers: [1863]
1863,67 unequal: No Solution
No 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: 67:[65, 107], Operations: ['42+23=65', '38+69=107']
Exploring Operation: 65+107=172, Resulting Numbers: [172]
172,67 unequal: No Solution
Exploring Operation: 65*107=6955, Resulting Numbers: [6955]
6955,67 unequal: No Solution
Exploring Operation: 107-65=42, Resulting Numbers: [42]
42,67 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: 67:[23, 69, 80], Operations: ['42+38=80']
Exploring Operation: 23+80=103, Resulting Numbers: [69, 103]
Generated Node #0,0,0: 67:[69, 103] Operation: 23+80=103
Exploring Operation: 23+69=92, Resulting Numbers: [80, 92]
Generated Node #0,0,1: 67:[80, 92] Operation: 23+69=92
Exploring Operation: 80-23=57, Resulting Numbers: [69, 57]
Generated Node #0,0,2: 67:[69, 57] Operation: 80-23=57
Exploring Operation: 69-23=46, Resulting Numbers: [80, 46]
Generated Node #0,0,3: 67:[80, 46] Operation: 69-23=46
Moving to Node #0,0,2
Current State: 67:[69, 57], Operations: ['42+38=80', '80-23=57']
Exploring Operation: 69*57=3933, Resulting Numbers: [3933]
3933,67 unequal: No Solution
Exploring Operation: 69+57=126, Resulting Numbers: [126]
126,67 unequal: No Solution
Exploring Operation: 69-57=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[80, 46], Operations: ['42+38=80', '69-23=46']
Exploring Operation: 80*46=3680, Resulting Numbers: [3680]
3680,67 unequal: No Solution
Exploring Operation: 80-46=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 80+46=126, Resulting Numbers: [126]
126,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[80, 92], Operations: ['42+38=80', '23+69=92']
Exploring Operation: 80+92=172, Resulting Numbers: [172]
172,67 unequal: No Solution
Exploring Operation: 80*92=7360, Resulting Numbers: [7360]
7360,67 unequal: No Solution
Exploring Operation: 92-80=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[69, 103], Operations: ['42+38=80', '23+80=103']
Exploring Operation: 103-69=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 69+103=172, Resulting Numbers: [172]
172,67 unequal: No Solution
Exploring Operation: 69*103=7107, Resulting Numbers: [7107]
7107,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[42, 38, 46], Operations: ['69-23=46']
Exploring Operation: 38+46=84, Resulting Numbers: [42, 84]
Generated Node #0,2,0: 67:[42, 84] Operation: 38+46=84
Exploring Operation: 42+38=80, Resulting Numbers: [46, 80]
Generated Node #0,2,1: 67:[46, 80] Operation: 42+38=80
Exploring Operation: 42+46=88, Resulting Numbers: [38, 88]
Generated Node #0,2,2: 67:[38, 88] Operation: 42+46=88
Exploring Operation: 42-38=4, Resulting Numbers: [46, 4]
Generated Node #0,2,3: 67:[46, 4] Operation: 42-38=4
Moving to Node #0,2,1
Current State: 67:[46, 80], Operations: ['69-23=46', '42+38=80']
Exploring Operation: 80-46=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 46+80=126, Resulting Numbers: [126]
126,67 unequal: No Solution
Exploring Operation: 46*80=3680, Resulting Numbers: [3680]
3680,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[42, 84], Operations: ['69-23=46', '38+46=84']
Exploring Operation: 42*84=3528, Resulting Numbers: [3528]
3528,67 unequal: No Solution
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 42+84=126, Resulting Numbers: [126]
126,67 unequal: No Solution
Exploring Operation: 84/42=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[38, 88], Operations: ['69-23=46', '42+46=88']
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,67 unequal: No Solution
Exploring Operation: 38+88=126, Resulting Numbers: [126]
126,67 unequal: No Solution
Exploring Operation: 38*88=3344, Resulting Numbers: [3344]
3344,67 unequal: No Solution
Moving to Node #0,2,3
Current State: 67:[46, 4], Operations: ['69-23=46', '42-38=4']
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,67 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,67 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,67 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 |
[
76,
3,
7,
92
] | 73 | [
"7-3=4",
"76/4=19",
"92-19=73"
] | Current State: 73:[76, 3, 7, 92], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [76, 92, 4]
Generated Node #2: [76, 92, 4] from Operation: 7-3=4
Current State: 73:[76, 92, 4], Operations: ['7-3=4']
Exploring Operation: 76/4=19, Resulting Numbers: [92, 19]
Generated Node #3: [92, 19] from Operation: 76/4=19
Current State: 73:[92, 19], Operations: ['7-3=4', '76/4=19']
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[76, 3, 7, 92], Operations: []
Exploring Operation: 3+7=10, Resulting Numbers: [76, 92, 10]
Generated Node #0,0: 73:[76, 92, 10] Operation: 3+7=10
Exploring Operation: 92-3=89, Resulting Numbers: [76, 7, 89]
Generated Node #0,1: 73:[76, 7, 89] Operation: 92-3=89
Exploring Operation: 92-7=85, Resulting Numbers: [76, 3, 85]
Generated Node #0,2: 73:[76, 3, 85] Operation: 92-7=85
Exploring Operation: 3*7=21, Resulting Numbers: [76, 92, 21]
Generated Node #0,3: 73:[76, 92, 21] Operation: 3*7=21
Exploring Operation: 76-3=73, Resulting Numbers: [7, 92, 73]
Generated Node #0,4: 73:[7, 92, 73] Operation: 76-3=73
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[76, 92, 21], Operations: ['3*7=21']
Exploring Operation: 76-21=55, Resulting Numbers: [92, 55]
Generated Node #0,3,0: 73:[92, 55] Operation: 76-21=55
Exploring Operation: 92-76=16, Resulting Numbers: [21, 16]
Generated Node #0,3,1: 73:[21, 16] Operation: 92-76=16
Exploring Operation: 76+21=97, Resulting Numbers: [92, 97]
Generated Node #0,3,2: 73:[92, 97] Operation: 76+21=97
Exploring Operation: 92-21=71, Resulting Numbers: [76, 71]
Generated Node #0,3,3: 73:[76, 71] Operation: 92-21=71
Exploring Operation: 92+21=113, Resulting Numbers: [76, 113]
Generated Node #0,3,4: 73:[76, 113] Operation: 92+21=113
Moving to Node #0,3,3
Current State: 73:[76, 71], Operations: ['3*7=21', '92-21=71']
Exploring Operation: 76*71=5396, Resulting Numbers: [5396]
5396,73 unequal: No Solution
Exploring Operation: 76-71=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 76+71=147, Resulting Numbers: [147]
147,73 unequal: No Solution
Moving to Node #0,3,0
Current State: 73:[92, 55], Operations: ['3*7=21', '76-21=55']
Exploring Operation: 92-55=37, Resulting Numbers: [37]
37,73 unequal: No Solution
Exploring Operation: 92+55=147, Resulting Numbers: [147]
147,73 unequal: No Solution
Exploring Operation: 92*55=5060, Resulting Numbers: [5060]
5060,73 unequal: No Solution
Moving to Node #0,3,2
Current State: 73:[92, 97], Operations: ['3*7=21', '76+21=97']
Exploring Operation: 97-92=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 92*97=8924, Resulting Numbers: [8924]
8924,73 unequal: No Solution
Exploring Operation: 92+97=189, Resulting Numbers: [189]
189,73 unequal: No Solution
Moving to Node #0,3,4
Current State: 73:[76, 113], Operations: ['3*7=21', '92+21=113']
Exploring Operation: 76*113=8588, Resulting Numbers: [8588]
8588,73 unequal: No Solution
Exploring Operation: 76+113=189, Resulting Numbers: [189]
189,73 unequal: No Solution
Exploring Operation: 113-76=37, Resulting Numbers: [37]
37,73 unequal: No Solution
Moving to Node #0,3,1
Current State: 73:[21, 16], Operations: ['3*7=21', '92-76=16']
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,73 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,73 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 #0,0
Current State: 73:[76, 92, 10], Operations: ['3+7=10']
Exploring Operation: 76+10=86, Resulting Numbers: [92, 86]
Generated Node #0,0,0: 73:[92, 86] Operation: 76+10=86
Exploring Operation: 92-10=82, Resulting Numbers: [76, 82]
Generated Node #0,0,1: 73:[76, 82] Operation: 92-10=82
Exploring Operation: 92-76=16, Resulting Numbers: [10, 16]
Generated Node #0,0,2: 73:[10, 16] Operation: 92-76=16
Exploring Operation: 92+10=102, Resulting Numbers: [76, 102]
Generated Node #0,0,3: 73:[76, 102] Operation: 92+10=102
Exploring Operation: 76-10=66, Resulting Numbers: [92, 66]
Generated Node #0,0,4: 73:[92, 66] Operation: 76-10=66
Moving to Node #0,0,1
Current State: 73:[76, 82], Operations: ['3+7=10', '92-10=82']
Exploring Operation: 82-76=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 76+82=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 76*82=6232, Resulting Numbers: [6232]
6232,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[92, 66], Operations: ['3+7=10', '76-10=66']
Exploring Operation: 92-66=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 92*66=6072, Resulting Numbers: [6072]
6072,73 unequal: No Solution
Exploring Operation: 92+66=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[92, 86], Operations: ['3+7=10', '76+10=86']
Exploring Operation: 92-86=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 92+86=178, Resulting Numbers: [178]
178,73 unequal: No Solution
Exploring Operation: 92*86=7912, Resulting Numbers: [7912]
7912,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[76, 102], Operations: ['3+7=10', '92+10=102']
Exploring Operation: 76*102=7752, Resulting Numbers: [7752]
7752,73 unequal: No Solution
Exploring Operation: 76+102=178, Resulting Numbers: [178]
178,73 unequal: No Solution
Exploring Operation: 102-76=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[10, 16], Operations: ['3+7=10', '92-76=16']
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,73 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,73 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
Current State: 73:[76, 7, 89], Operations: ['92-3=89']
Exploring Operation: 76-7=69, Resulting Numbers: [89, 69]
Generated Node #0,1,0: 73:[89, 69] Operation: 76-7=69
Exploring Operation: 76+7=83, Resulting Numbers: [89, 83]
Generated Node #0,1,1: 73:[89, 83] Operation: 76+7=83
Exploring Operation: 89-7=82, Resulting Numbers: [76, 82]
Generated Node #0,1,2: 73:[76, 82] Operation: 89-7=82
Exploring Operation: 7+89=96, Resulting Numbers: [76, 96]
Generated Node #0,1,3: 73:[76, 96] Operation: 7+89=96
Exploring Operation: 89-76=13, Resulting Numbers: [7, 13]
Generated Node #0,1,4: 73:[7, 13] Operation: 89-76=13
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 73:[76, 82], Operations: ['92-3=89', '89-7=82']
Exploring Operation: 76+82=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 82-76=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 76*82=6232, Resulting Numbers: [6232]
6232,73 unequal: No Solution
No 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: 73:[89, 69], Operations: ['92-3=89', '76-7=69']
Exploring Operation: 89-69=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 89*69=6141, Resulting Numbers: [6141]
6141,73 unequal: No Solution
Exploring Operation: 89+69=158, Resulting Numbers: [158]
158,73 unequal: No Solution
No 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: 73:[89, 83], Operations: ['92-3=89', '76+7=83']
Exploring Operation: 89+83=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Exploring Operation: 89*83=7387, Resulting Numbers: [7387]
7387,73 unequal: No Solution
Exploring Operation: 89-83=6, Resulting Numbers: [6]
6,73 unequal: No Solution
No 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: 73:[76, 96], Operations: ['92-3=89', '7+89=96']
Exploring Operation: 76+96=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Exploring Operation: 76*96=7296, Resulting Numbers: [7296]
7296,73 unequal: No Solution
Exploring Operation: 96-76=20, Resulting Numbers: [20]
20,73 unequal: No Solution
No 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: 73:[7, 13], Operations: ['92-3=89', '89-76=13']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[76, 3, 85], Operations: ['92-7=85']
Exploring Operation: 76+3=79, Resulting Numbers: [85, 79]
Generated Node #0,2,0: 73:[85, 79] Operation: 76+3=79
Exploring Operation: 3+85=88, Resulting Numbers: [76, 88]
Generated Node #0,2,1: 73:[76, 88] Operation: 3+85=88
Exploring Operation: 76-3=73, Resulting Numbers: [85, 73]
Generated Node #0,2,2: 73:[85, 73] Operation: 76-3=73
Exploring Operation: 85-76=9, Resulting Numbers: [3, 9]
Generated Node #0,2,3: 73:[3, 9] Operation: 85-76=9
Exploring Operation: 85-3=82, Resulting Numbers: [76, 82]
Generated Node #0,2,4: 73:[76, 82] Operation: 85-3=82
Moving to Node #0,2,2
Current State: 73:[85, 73], Operations: ['92-7=85', '76-3=73']
Exploring Operation: 85-73=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 85+73=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 85*73=6205, Resulting Numbers: [6205]
6205,73 unequal: No Solution
Moving to Node #0,2,4
Current State: 73:[76, 82], Operations: ['92-7=85', '85-3=82']
Exploring Operation: 82-76=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 76+82=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 76*82=6232, Resulting Numbers: [6232]
6232,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[85, 79], Operations: ['92-7=85', '76+3=79']
Exploring Operation: 85*79=6715, Resulting Numbers: [6715]
6715,73 unequal: No Solution
Exploring Operation: 85-79=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 85+79=164, Resulting Numbers: [164]
164,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[76, 88], Operations: ['92-7=85', '3+85=88']
Exploring Operation: 88-76=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 76+88=164, Resulting Numbers: [164]
164,73 unequal: No Solution
Exploring Operation: 76*88=6688, Resulting Numbers: [6688]
6688,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[3, 9], Operations: ['92-7=85', '85-76=9']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,73 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
Current State: 73:[7, 92, 73], Operations: ['76-3=73']
Exploring Operation: 7+92=99, Resulting Numbers: [73, 99]
Generated Node #0,4,0: 73:[73, 99] Operation: 7+92=99
Exploring Operation: 7+73=80, Resulting Numbers: [92, 80]
Generated Node #0,4,1: 73:[92, 80] Operation: 7+73=80
Exploring Operation: 92-7=85, Resulting Numbers: [73, 85]
Generated Node #0,4,2: 73:[73, 85] Operation: 92-7=85
Exploring Operation: 92-73=19, Resulting Numbers: [7, 19]
Generated Node #0,4,3: 73:[7, 19] Operation: 92-73=19
Exploring Operation: 73-7=66, Resulting Numbers: [92, 66]
Generated Node #0,4,4: 73:[92, 66] Operation: 73-7=66
Moving to Node #0,4,2
Current State: 73:[73, 85], Operations: ['76-3=73', '92-7=85']
Exploring Operation: 73+85=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 73*85=6205, Resulting Numbers: [6205]
6205,73 unequal: No Solution
Exploring Operation: 85-73=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Moving to Node #0,4,1
Current State: 73:[92, 80], Operations: ['76-3=73', '7+73=80']
Exploring Operation: 92+80=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Exploring Operation: 92-80=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 92*80=7360, Resulting Numbers: [7360]
7360,73 unequal: No Solution
Moving to Node #0,4,0
Current State: 73:[73, 99], Operations: ['76-3=73', '7+92=99']
Exploring Operation: 99-73=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 73*99=7227, Resulting Numbers: [7227]
7227,73 unequal: No Solution
Exploring Operation: 73+99=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Moving to Node #0,4,4
Current State: 73:[92, 66], Operations: ['76-3=73', '73-7=66']
Exploring Operation: 92+66=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 92-66=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 92*66=6072, Resulting Numbers: [6072]
6072,73 unequal: No Solution
Moving to Node #0,4,3
Current State: 73:[7, 19], Operations: ['76-3=73', '92-73=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,73 unequal: No Solution
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,73 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 |
[
34,
79,
15,
34
] | 31 | [
"79-34=45",
"45/15=3",
"34-3=31"
] | Current State: 31:[34, 79, 15, 34], Operations: []
Exploring Operation: 79-34=45, Resulting Numbers: [15, 45]
Generated Node #2: [15, 45] from Operation: 79-34=45
Current State: 31:[15, 45], Operations: ['79-34=45']
Exploring Operation: 45/15=3, Resulting Numbers: [3]
3,31 equal: Goal Reached
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[34, 79, 15, 34], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [79, 34, 19]
Generated Node #0,0: 31:[79, 34, 19] Operation: 34-15=19
Exploring Operation: 79-34=45, Resulting Numbers: [34, 15, 45]
Generated Node #0,1: 31:[34, 15, 45] Operation: 79-34=45
Exploring Operation: 79-34=45, Resulting Numbers: [15, 34, 45]
Generated Node #0,2: 31:[15, 34, 45] Operation: 79-34=45
Exploring Operation: 79-15=64, Resulting Numbers: [34, 34, 64]
Generated Node #0,3: 31:[34, 34, 64] Operation: 79-15=64
Exploring Operation: 34-15=19, Resulting Numbers: [34, 79, 19]
Generated Node #0,4: 31:[34, 79, 19] Operation: 34-15=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[34, 15, 45], Operations: ['79-34=45']
Exploring Operation: 15+45=60, Resulting Numbers: [34, 60]
Generated Node #0,1,0: 31:[34, 60] Operation: 15+45=60
Exploring Operation: 34-15=19, Resulting Numbers: [45, 19]
Generated Node #0,1,1: 31:[45, 19] Operation: 34-15=19
Exploring Operation: 34+15=49, Resulting Numbers: [45, 49]
Generated Node #0,1,2: 31:[45, 49] Operation: 34+15=49
Exploring Operation: 45/15=3, Resulting Numbers: [34, 3]
Generated Node #0,1,3: 31:[34, 3] Operation: 45/15=3
Exploring Operation: 45-15=30, Resulting Numbers: [34, 30]
Generated Node #0,1,4: 31:[34, 30] Operation: 45-15=30
Moving to Node #0,1,4
Current State: 31:[34, 30], Operations: ['79-34=45', '45-15=30']
Exploring Operation: 34*30=1020, Resulting Numbers: [1020]
1020,31 unequal: No Solution
Exploring Operation: 34+30=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[45, 19], Operations: ['79-34=45', '34-15=19']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 45+19=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 45*19=855, Resulting Numbers: [855]
855,31 unequal: No Solution
Moving to Node #0,1,3
Current State: 31:[34, 3], Operations: ['79-34=45', '45/15=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,31 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,31 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[34, 79, 15, 34], Operations: []
Exploring Operation: 79-34=45, Resulting Numbers: [34, 15, 45]
Generated Node #0,1: 31:[34, 15, 45] Operation: 79-34=45
Moving to Node #0,1
Current State: 31:[34, 15, 45], Operations: ['79-34=45']
Exploring Operation: 45/15=3, Resulting Numbers: [34, 3]
Generated Node #0,1,3: 31:[34, 3] Operation: 45/15=3
Moving to Node #0,1,3
Current State: 31:[34, 3], Operations: ['79-34=45', '45/15=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | sum_heuristic |
[
93,
6,
40,
71
] | 68 | [
"93+6=99",
"71-40=31",
"99-31=68"
] | Current State: 68:[93, 6, 40, 71], Operations: []
Exploring Operation: 93+6=99, Resulting Numbers: [40, 71, 99]
Generated Node #2: [40, 71, 99] from Operation: 93+6=99
Current State: 68:[40, 71, 99], Operations: ['93+6=99']
Exploring Operation: 71-40=31, Resulting Numbers: [99, 31]
Generated Node #3: [99, 31] from Operation: 71-40=31
Current State: 68:[99, 31], Operations: ['93+6=99', '71-40=31']
Exploring Operation: 99-31=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[93, 6, 40, 71], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [6, 40, 22]
Generated Node #0,0: 68:[6, 40, 22] Operation: 93-71=22
Exploring Operation: 40-6=34, Resulting Numbers: [93, 71, 34]
Generated Node #0,1: 68:[93, 71, 34] Operation: 40-6=34
Exploring Operation: 71-40=31, Resulting Numbers: [93, 6, 31]
Generated Node #0,2: 68:[93, 6, 31] Operation: 71-40=31
Exploring Operation: 93-40=53, Resulting Numbers: [6, 71, 53]
Generated Node #0,3: 68:[6, 71, 53] Operation: 93-40=53
Exploring Operation: 93-6=87, Resulting Numbers: [40, 71, 87]
Generated Node #0,4: 68:[40, 71, 87] Operation: 93-6=87
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[6, 40, 22], Operations: ['93-71=22']
Exploring Operation: 22-6=16, Resulting Numbers: [40, 16]
Generated Node #0,0,0: 68:[40, 16] Operation: 22-6=16
Exploring Operation: 40-22=18, Resulting Numbers: [6, 18]
Generated Node #0,0,1: 68:[6, 18] Operation: 40-22=18
Exploring Operation: 40+22=62, Resulting Numbers: [6, 62]
Generated Node #0,0,2: 68:[6, 62] Operation: 40+22=62
Exploring Operation: 40-6=34, Resulting Numbers: [22, 34]
Generated Node #0,0,3: 68:[22, 34] Operation: 40-6=34
Exploring Operation: 6+22=28, Resulting Numbers: [40, 28]
Generated Node #0,0,4: 68:[40, 28] Operation: 6+22=28
Moving to Node #0,0,1
Current State: 68:[6, 18], Operations: ['93-71=22', '40-22=18']
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Exploring Operation: 6*18=108, Resulting Numbers: [108]
108,68 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Moving to Node #0,0,3
Current State: 68:[22, 34], Operations: ['93-71=22', '40-6=34']
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 22*34=748, Resulting Numbers: [748]
748,68 unequal: No Solution
Exploring Operation: 22+34=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Moving to Node #0,0,0
Current State: 68:[40, 16], Operations: ['93-71=22', '22-6=16']
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Exploring Operation: 40*16=640, Resulting Numbers: [640]
640,68 unequal: No Solution
Moving to Node #0,0,2
Current State: 68:[6, 62], Operations: ['93-71=22', '40+22=62']
Exploring Operation: 6*62=372, Resulting Numbers: [372]
372,68 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[93, 6, 40, 71], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [6, 40, 22]
Generated Node #0,0: 68:[6, 40, 22] Operation: 93-71=22
Moving to Node #0,0
Current State: 68:[6, 40, 22], Operations: ['93-71=22']
Exploring Operation: 40+22=62, Resulting Numbers: [6, 62]
Generated Node #0,0,2: 68:[6, 62] Operation: 40+22=62
Moving to Node #0,0,2
Current State: 68:[6, 62], Operations: ['93-71=22', '40+22=62']
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | sum_heuristic |
[
54,
38,
4,
53
] | 36 | [
"54*38=2052",
"4+53=57",
"2052/57=36"
] | Current State: 36:[54, 38, 4, 53], Operations: []
Exploring Operation: 54*38=2052, Resulting Numbers: [4, 53, 2052]
Generated Node #2: [4, 53, 2052] from Operation: 54*38=2052
Current State: 36:[4, 53, 2052], Operations: ['54*38=2052']
Exploring Operation: 4+53=57, Resulting Numbers: [2052, 57]
Generated Node #3: [2052, 57] from Operation: 4+53=57
Current State: 36:[2052, 57], Operations: ['54*38=2052', '4+53=57']
Exploring Operation: 2052/57=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[54, 38, 4, 53], Operations: []
Exploring Operation: 54-38=16, Resulting Numbers: [4, 53, 16]
Generated Node #0,0: 36:[4, 53, 16] Operation: 54-38=16
Exploring Operation: 54-53=1, Resulting Numbers: [38, 4, 1]
Generated Node #0,1: 36:[38, 4, 1] Operation: 54-53=1
Moving to Node #0,1
Current State: 36:[38, 4, 1], Operations: ['54-53=1']
Exploring Operation: 38-1=37, Resulting Numbers: [4, 37]
Generated Node #0,1,0: 36:[4, 37] Operation: 38-1=37
Exploring Operation: 38*1=38, Resulting Numbers: [4, 38]
Generated Node #0,1,1: 36:[4, 38] Operation: 38*1=38
Moving to Node #0,0
Current State: 36:[4, 53, 16], Operations: ['54-38=16']
Exploring Operation: 53-4=49, Resulting Numbers: [16, 49]
Generated Node #0,0,0: 36:[16, 49] Operation: 53-4=49
Exploring Operation: 53-16=37, Resulting Numbers: [4, 37]
Generated Node #0,0,1: 36:[4, 37] Operation: 53-16=37
Moving to Node #0,1,0
Current State: 36:[4, 37], Operations: ['54-53=1', '38-1=37']
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,36 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[4, 37], Operations: ['54-38=16', '53-16=37']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[4, 38], Operations: ['54-53=1', '38*1=38']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[16, 49], Operations: ['54-38=16', '53-4=49']
Exploring Operation: 16+49=65, Resulting Numbers: [65]
65,36 unequal: No Solution
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,36 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
73,
62,
15,
70
] | 96 | [
"73-62=11",
"15+70=85",
"11+85=96"
] | Current State: 96:[73, 62, 15, 70], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [15, 70, 11]
Generated Node #2: [15, 70, 11] from Operation: 73-62=11
Current State: 96:[15, 70, 11], Operations: ['73-62=11']
Exploring Operation: 15+70=85, Resulting Numbers: [11, 85]
Generated Node #3: [11, 85] from Operation: 15+70=85
Current State: 96:[11, 85], Operations: ['73-62=11', '15+70=85']
Exploring Operation: 11+85=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[73, 62, 15, 70], Operations: []
Exploring Operation: 73+15=88, Resulting Numbers: [62, 70, 88]
Generated Node #0,0: 96:[62, 70, 88] Operation: 73+15=88
Exploring Operation: 73-70=3, Resulting Numbers: [62, 15, 3]
Generated Node #0,1: 96:[62, 15, 3] Operation: 73-70=3
Exploring Operation: 73-62=11, Resulting Numbers: [15, 70, 11]
Generated Node #0,2: 96:[15, 70, 11] Operation: 73-62=11
Exploring Operation: 70-62=8, Resulting Numbers: [73, 15, 8]
Generated Node #0,3: 96:[73, 15, 8] Operation: 70-62=8
Moving to Node #0,1
Current State: 96:[62, 15, 3], Operations: ['73-70=3']
Exploring Operation: 62-3=59, Resulting Numbers: [15, 59]
Generated Node #0,1,0: 96:[15, 59] Operation: 62-3=59
Exploring Operation: 62-15=47, Resulting Numbers: [3, 47]
Generated Node #0,1,1: 96:[3, 47] Operation: 62-15=47
Exploring Operation: 15-3=12, Resulting Numbers: [62, 12]
Generated Node #0,1,2: 96:[62, 12] Operation: 15-3=12
Exploring Operation: 15/3=5, Resulting Numbers: [62, 5]
Generated Node #0,1,3: 96:[62, 5] Operation: 15/3=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[3, 47], Operations: ['73-70=3', '62-15=47']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,96 unequal: No Solution
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,96 unequal: No Solution
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[15, 59], Operations: ['73-70=3', '62-3=59']
Exploring Operation: 59-15=44, Resulting Numbers: [44]
44,96 unequal: No Solution
Exploring Operation: 15*59=885, Resulting Numbers: [885]
885,96 unequal: No Solution
Exploring Operation: 15+59=74, Resulting Numbers: [74]
74,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 96:[62, 12], Operations: ['73-70=3', '15-3=12']
Exploring Operation: 62+12=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 62*12=744, Resulting Numbers: [744]
744,96 unequal: No Solution
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 96:[62, 5], Operations: ['73-70=3', '15/3=5']
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,96 unequal: No Solution
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 62*5=310, Resulting Numbers: [310]
310,96 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: 96:[73, 15, 8], Operations: ['70-62=8']
Exploring Operation: 73-8=65, Resulting Numbers: [15, 65]
Generated Node #0,3,0: 96:[15, 65] Operation: 73-8=65
Exploring Operation: 73-15=58, Resulting Numbers: [8, 58]
Generated Node #0,3,1: 96:[8, 58] Operation: 73-15=58
Exploring Operation: 73+15=88, Resulting Numbers: [8, 88]
Generated Node #0,3,2: 96:[8, 88] Operation: 73+15=88
Exploring Operation: 73+8=81, Resulting Numbers: [15, 81]
Generated Node #0,3,3: 96:[15, 81] Operation: 73+8=81
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 96:[8, 88], Operations: ['70-62=8', '73+15=88']
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,96 unequal: No Solution
Exploring Operation: 8+88=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[73, 62, 15, 70], Operations: []
Exploring Operation: 70-62=8, Resulting Numbers: [73, 15, 8]
Generated Node #0,3: 96:[73, 15, 8] Operation: 70-62=8
Moving to Node #0,3
Current State: 96:[73, 15, 8], Operations: ['70-62=8']
Exploring Operation: 73+15=88, Resulting Numbers: [8, 88]
Generated Node #0,3,2: 96:[8, 88] Operation: 73+15=88
Moving to Node #0,3,2
Current State: 96:[8, 88], Operations: ['70-62=8', '73+15=88']
Exploring Operation: 8+88=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
10,
43,
58,
34
] | 58 | [
"43-10=33",
"34-33=1",
"58*1=58"
] | Current State: 58:[10, 43, 58, 34], Operations: []
Exploring Operation: 43-10=33, Resulting Numbers: [58, 34, 33]
Generated Node #2: [58, 34, 33] from Operation: 43-10=33
Current State: 58:[58, 34, 33], Operations: ['43-10=33']
Exploring Operation: 34-33=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 34-33=1
Current State: 58:[58, 1], Operations: ['43-10=33', '34-33=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[10, 43, 58, 34], Operations: []
Exploring Operation: 43-10=33, Resulting Numbers: [58, 34, 33]
Generated Node #0,0: 58:[58, 34, 33] Operation: 43-10=33
Moving to Node #0,0
Current State: 58:[58, 34, 33], Operations: ['43-10=33']
Exploring Operation: 34-33=1, Resulting Numbers: [58, 1]
Generated Node #0,0,0: 58:[58, 1] Operation: 34-33=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[58, 1], Operations: ['43-10=33', '34-33=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[10, 43, 58, 34], Operations: []
Exploring Operation: 43-10=33, Resulting Numbers: [58, 34, 33]
Generated Node #0,0: 58:[58, 34, 33] Operation: 43-10=33
Moving to Node #0,0
Current State: 58:[58, 34, 33], Operations: ['43-10=33']
Exploring Operation: 34-33=1, Resulting Numbers: [58, 1]
Generated Node #0,0,0: 58:[58, 1] Operation: 34-33=1
Moving to Node #0,0,0
Current State: 58:[58, 1], Operations: ['43-10=33', '34-33=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
14,
60,
82,
85
] | 49 | [
"60-14=46",
"85-82=3",
"46+3=49"
] | Current State: 49:[14, 60, 82, 85], Operations: []
Exploring Operation: 60-14=46, Resulting Numbers: [82, 85, 46]
Generated Node #2: [82, 85, 46] from Operation: 60-14=46
Current State: 49:[82, 85, 46], Operations: ['60-14=46']
Exploring Operation: 85-82=3, Resulting Numbers: [46, 3]
Generated Node #3: [46, 3] from Operation: 85-82=3
Current State: 49:[46, 3], Operations: ['60-14=46', '85-82=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[14, 60, 82, 85], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [14, 85, 22]
Generated Node #0,0: 49:[14, 85, 22] Operation: 82-60=22
Exploring Operation: 85-60=25, Resulting Numbers: [14, 82, 25]
Generated Node #0,1: 49:[14, 82, 25] Operation: 85-60=25
Exploring Operation: 85-82=3, Resulting Numbers: [14, 60, 3]
Generated Node #0,2: 49:[14, 60, 3] Operation: 85-82=3
Exploring Operation: 82-14=68, Resulting Numbers: [60, 85, 68]
Generated Node #0,3: 49:[60, 85, 68] Operation: 82-14=68
Moving to Node #0,2
Current State: 49:[14, 60, 3], Operations: ['85-82=3']
Exploring Operation: 14-3=11, Resulting Numbers: [60, 11]
Generated Node #0,2,0: 49:[60, 11] Operation: 14-3=11
Exploring Operation: 60-14=46, Resulting Numbers: [3, 46]
Generated Node #0,2,1: 49:[3, 46] Operation: 60-14=46
Exploring Operation: 60-3=57, Resulting Numbers: [14, 57]
Generated Node #0,2,2: 49:[14, 57] Operation: 60-3=57
Exploring Operation: 14*3=42, Resulting Numbers: [60, 42]
Generated Node #0,2,3: 49:[60, 42] Operation: 14*3=42
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 49:[3, 46], Operations: ['85-82=3', '60-14=46']
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,49 unequal: No Solution
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[14, 60, 82, 85], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [14, 60, 3]
Generated Node #0,2: 49:[14, 60, 3] Operation: 85-82=3
Moving to Node #0,2
Current State: 49:[14, 60, 3], Operations: ['85-82=3']
Exploring Operation: 60-14=46, Resulting Numbers: [3, 46]
Generated Node #0,2,1: 49:[3, 46] Operation: 60-14=46
Moving to Node #0,2,1
Current State: 49:[3, 46], Operations: ['85-82=3', '60-14=46']
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
54,
40,
27,
85
] | 44 | [
"54-40=14",
"85-27=58",
"58-14=44"
] | Current State: 44:[54, 40, 27, 85], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [27, 85, 14]
Generated Node #2: [27, 85, 14] from Operation: 54-40=14
Current State: 44:[27, 85, 14], Operations: ['54-40=14']
Exploring Operation: 85-27=58, Resulting Numbers: [14, 58]
Generated Node #3: [14, 58] from Operation: 85-27=58
Current State: 44:[14, 58], Operations: ['54-40=14', '85-27=58']
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[54, 40, 27, 85], Operations: []
Exploring Operation: 85-27=58, Resulting Numbers: [54, 40, 58]
Generated Node #0,0: 44:[54, 40, 58] Operation: 85-27=58
Exploring Operation: 85-54=31, Resulting Numbers: [40, 27, 31]
Generated Node #0,1: 44:[40, 27, 31] Operation: 85-54=31
Exploring Operation: 85-40=45, Resulting Numbers: [54, 27, 45]
Generated Node #0,2: 44:[54, 27, 45] Operation: 85-40=45
Exploring Operation: 54/27=2, Resulting Numbers: [40, 85, 2]
Generated Node #0,3: 44:[40, 85, 2] Operation: 54/27=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[54, 27, 45], Operations: ['85-40=45']
Exploring Operation: 54-27=27, Resulting Numbers: [45, 27]
Generated Node #0,2,0: 44:[45, 27] Operation: 54-27=27
Exploring Operation: 54/27=2, Resulting Numbers: [45, 2]
Generated Node #0,2,1: 44:[45, 2] Operation: 54/27=2
Exploring Operation: 45-27=18, Resulting Numbers: [54, 18]
Generated Node #0,2,2: 44:[54, 18] Operation: 45-27=18
Exploring Operation: 54-45=9, Resulting Numbers: [27, 9]
Generated Node #0,2,3: 44:[27, 9] Operation: 54-45=9
Moving to Node #0,2,1
Current State: 44:[45, 2], Operations: ['85-40=45', '54/27=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,44 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,44 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[45, 27], Operations: ['85-40=45', '54-27=27']
Exploring Operation: 45+27=72, Resulting Numbers: [72]
72,44 unequal: No Solution
Exploring Operation: 45*27=1215, Resulting Numbers: [1215]
1215,44 unequal: No Solution
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Moving to Node #0,2,3
Current State: 44:[27, 9], Operations: ['85-40=45', '54-45=9']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,44 unequal: No Solution
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[54, 18], Operations: ['85-40=45', '45-27=18']
Exploring Operation: 54+18=72, Resulting Numbers: [72]
72,44 unequal: No Solution
Exploring Operation: 54/18=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 54*18=972, Resulting Numbers: [972]
972,44 unequal: No Solution
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[40, 27, 31], Operations: ['85-54=31']
Exploring Operation: 40-27=13, Resulting Numbers: [31, 13]
Generated Node #0,1,0: 44:[31, 13] Operation: 40-27=13
Exploring Operation: 27+31=58, Resulting Numbers: [40, 58]
Generated Node #0,1,1: 44:[40, 58] Operation: 27+31=58
Exploring Operation: 40-31=9, Resulting Numbers: [27, 9]
Generated Node #0,1,2: 44:[27, 9] Operation: 40-31=9
Exploring Operation: 31-27=4, Resulting Numbers: [40, 4]
Generated Node #0,1,3: 44:[40, 4] Operation: 31-27=4
Moving to Node #0,1,3
Current State: 44:[40, 4], Operations: ['85-54=31', '31-27=4']
Exploring Operation: 40*4=160, Resulting Numbers: [160]
160,44 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[54, 40, 27, 85], Operations: []
Exploring Operation: 85-54=31, Resulting Numbers: [40, 27, 31]
Generated Node #0,1: 44:[40, 27, 31] Operation: 85-54=31
Moving to Node #0,1
Current State: 44:[40, 27, 31], Operations: ['85-54=31']
Exploring Operation: 31-27=4, Resulting Numbers: [40, 4]
Generated Node #0,1,3: 44:[40, 4] Operation: 31-27=4
Moving to Node #0,1,3
Current State: 44:[40, 4], Operations: ['85-54=31', '31-27=4']
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_4 | mult_heuristic |
[
25,
54,
52,
78
] | 54 | [
"25+52=77",
"78-77=1",
"54*1=54"
] | Current State: 54:[25, 54, 52, 78], Operations: []
Exploring Operation: 25+52=77, Resulting Numbers: [54, 78, 77]
Generated Node #2: [54, 78, 77] from Operation: 25+52=77
Current State: 54:[54, 78, 77], Operations: ['25+52=77']
Exploring Operation: 78-77=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 78-77=1
Current State: 54:[54, 1], Operations: ['25+52=77', '78-77=1']
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[25, 54, 52, 78], Operations: []
Exploring Operation: 78-25=53, Resulting Numbers: [54, 52, 53]
Generated Node #0,0: 54:[54, 52, 53] Operation: 78-25=53
Exploring Operation: 52-25=27, Resulting Numbers: [54, 78, 27]
Generated Node #0,1: 54:[54, 78, 27] Operation: 52-25=27
Exploring Operation: 78-52=26, Resulting Numbers: [25, 54, 26]
Generated Node #0,2: 54:[25, 54, 26] Operation: 78-52=26
Exploring Operation: 78-54=24, Resulting Numbers: [25, 52, 24]
Generated Node #0,3: 54:[25, 52, 24] Operation: 78-54=24
Exploring Operation: 54-52=2, Resulting Numbers: [25, 78, 2]
Generated Node #0,4: 54:[25, 78, 2] Operation: 54-52=2
Moving to Node #0,0
Current State: 54:[54, 52, 53], Operations: ['78-25=53']
Exploring Operation: 52+53=105, Resulting Numbers: [54, 105]
Generated Node #0,0,0: 54:[54, 105] Operation: 52+53=105
Exploring Operation: 54-52=2, Resulting Numbers: [53, 2]
Generated Node #0,0,1: 54:[53, 2] Operation: 54-52=2
Exploring Operation: 54+52=106, Resulting Numbers: [53, 106]
Generated Node #0,0,2: 54:[53, 106] Operation: 54+52=106
Exploring Operation: 53-52=1, Resulting Numbers: [54, 1]
Generated Node #0,0,3: 54:[54, 1] Operation: 53-52=1
Exploring Operation: 54-53=1, Resulting Numbers: [52, 1]
Generated Node #0,0,4: 54:[52, 1] Operation: 54-53=1
Moving to Node #0,2
Current State: 54:[25, 54, 26], Operations: ['78-52=26']
Exploring Operation: 26-25=1, Resulting Numbers: [54, 1]
Generated Node #0,2,0: 54:[54, 1] Operation: 26-25=1
Exploring Operation: 54-25=29, Resulting Numbers: [26, 29]
Generated Node #0,2,1: 54:[26, 29] Operation: 54-25=29
Exploring Operation: 25+54=79, Resulting Numbers: [26, 79]
Generated Node #0,2,2: 54:[26, 79] Operation: 25+54=79
Exploring Operation: 25+26=51, Resulting Numbers: [54, 51]
Generated Node #0,2,3: 54:[54, 51] Operation: 25+26=51
Exploring Operation: 54-26=28, Resulting Numbers: [25, 28]
Generated Node #0,2,4: 54:[25, 28] Operation: 54-26=28
Moving to Node #0,3
Current State: 54:[25, 52, 24], Operations: ['78-54=24']
Exploring Operation: 52-25=27, Resulting Numbers: [24, 27]
Generated Node #0,3,0: 54:[24, 27] Operation: 52-25=27
Exploring Operation: 52+24=76, Resulting Numbers: [25, 76]
Generated Node #0,3,1: 54:[25, 76] Operation: 52+24=76
Exploring Operation: 25+24=49, Resulting Numbers: [52, 49]
Generated Node #0,3,2: 54:[52, 49] Operation: 25+24=49
Exploring Operation: 25-24=1, Resulting Numbers: [52, 1]
Generated Node #0,3,3: 54:[52, 1] Operation: 25-24=1
Exploring Operation: 52-24=28, Resulting Numbers: [25, 28]
Generated Node #0,3,4: 54:[25, 28] Operation: 52-24=28
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 54:[24, 27], Operations: ['78-54=24', '52-25=27']
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,54 unequal: No Solution
Exploring Operation: 24*27=648, Resulting Numbers: [648]
648,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 54:[52, 1], Operations: ['78-54=24', '25-24=1']
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,54 unequal: No Solution
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,54 unequal: No Solution
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 54:[25, 28], Operations: ['78-54=24', '52-24=28']
Exploring Operation: 25*28=700, Resulting Numbers: [700]
700,54 unequal: No Solution
Exploring Operation: 25+28=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 54:[52, 49], Operations: ['78-54=24', '25+24=49']
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 52+49=101, Resulting Numbers: [101]
101,54 unequal: No Solution
Exploring Operation: 52*49=2548, Resulting Numbers: [2548]
2548,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 54:[25, 76], Operations: ['78-54=24', '52+24=76']
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,54 unequal: No Solution
Exploring Operation: 25+76=101, Resulting Numbers: [101]
101,54 unequal: No Solution
Exploring Operation: 25*76=1900, Resulting Numbers: [1900]
1900,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 54:[54, 78, 27], Operations: ['52-25=27']
Exploring Operation: 54+27=81, Resulting Numbers: [78, 81]
Generated Node #0,1,0: 54:[78, 81] Operation: 54+27=81
Exploring Operation: 78-54=24, Resulting Numbers: [27, 24]
Generated Node #0,1,1: 54:[27, 24] Operation: 78-54=24
Exploring Operation: 54/27=2, Resulting Numbers: [78, 2]
Generated Node #0,1,2: 54:[78, 2] Operation: 54/27=2
Exploring Operation: 54-27=27, Resulting Numbers: [78, 27]
Generated Node #0,1,3: 54:[78, 27] Operation: 54-27=27
Exploring Operation: 78-27=51, Resulting Numbers: [54, 51]
Generated Node #0,1,4: 54:[54, 51] Operation: 78-27=51
Moving to Node #0,4
Current State: 54:[25, 78, 2], Operations: ['54-52=2']
Exploring Operation: 78-2=76, Resulting Numbers: [25, 76]
Generated Node #0,4,0: 54:[25, 76] Operation: 78-2=76
Exploring Operation: 25+2=27, Resulting Numbers: [78, 27]
Generated Node #0,4,1: 54:[78, 27] Operation: 25+2=27
Exploring Operation: 25*2=50, Resulting Numbers: [78, 50]
Generated Node #0,4,2: 54:[78, 50] Operation: 25*2=50
Exploring Operation: 78/2=39, Resulting Numbers: [25, 39]
Generated Node #0,4,3: 54:[25, 39] Operation: 78/2=39
Exploring Operation: 78-25=53, Resulting Numbers: [2, 53]
Generated Node #0,4,4: 54:[2, 53] Operation: 78-25=53
Moving to Node #0,0,1
Current State: 54:[53, 2], Operations: ['78-25=53', '54-52=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,54 unequal: No Solution
Exploring Operation: 53*2=106, Resulting Numbers: [106]
106,54 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,54 unequal: No Solution
Moving to Node #0,2,0
Current State: 54:[54, 1], Operations: ['78-52=26', '26-25=1']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[25, 54, 52, 78], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [25, 54, 26]
Generated Node #0,2: 54:[25, 54, 26] Operation: 78-52=26
Moving to Node #0,2
Current State: 54:[25, 54, 26], Operations: ['78-52=26']
Exploring Operation: 26-25=1, Resulting Numbers: [54, 1]
Generated Node #0,2,0: 54:[54, 1] Operation: 26-25=1
Moving to Node #0,2,0
Current State: 54:[54, 1], Operations: ['78-52=26', '26-25=1']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 0.953125 | hs_5 | mult_heuristic |
[
1,
83,
81,
40
] | 41 | [
"83-1=82",
"81-40=41",
"82-41=41"
] | Current State: 41:[1, 83, 81, 40], Operations: []
Exploring Operation: 83-1=82, Resulting Numbers: [81, 40, 82]
Generated Node #2: [81, 40, 82] from Operation: 83-1=82
Current State: 41:[81, 40, 82], Operations: ['83-1=82']
Exploring Operation: 81-40=41, Resulting Numbers: [82, 41]
Generated Node #3: [82, 41] from Operation: 81-40=41
Current State: 41:[82, 41], Operations: ['83-1=82', '81-40=41']
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[1, 83, 81, 40], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [1, 40, 2]
Generated Node #0,0: 41:[1, 40, 2] Operation: 83-81=2
Moving to Node #0,0
Current State: 41:[1, 40, 2], Operations: ['83-81=2']
Exploring Operation: 1+40=41, Resulting Numbers: [2, 41]
Generated Node #0,0,0: 41:[2, 41] Operation: 1+40=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[2, 41], Operations: ['83-81=2', '1+40=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,41 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 |
[
77,
2,
88,
54
] | 64 | [
"2+54=56",
"88*56=4928",
"4928/77=64"
] | Current State: 64:[77, 2, 88, 54], Operations: []
Exploring Operation: 2+54=56, Resulting Numbers: [77, 88, 56]
Generated Node #2: [77, 88, 56] from Operation: 2+54=56
Current State: 64:[77, 88, 56], Operations: ['2+54=56']
Exploring Operation: 88*56=4928, Resulting Numbers: [77, 4928]
Generated Node #3: [77, 4928] from Operation: 88*56=4928
Current State: 64:[77, 4928], Operations: ['2+54=56', '88*56=4928']
Exploring Operation: 4928/77=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[77, 2, 88, 54], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [77, 54, 44]
Generated Node #0,0: 64:[77, 54, 44] Operation: 88/2=44
Exploring Operation: 88-77=11, Resulting Numbers: [2, 54, 11]
Generated Node #0,1: 64:[2, 54, 11] Operation: 88-77=11
Exploring Operation: 88-54=34, Resulting Numbers: [77, 2, 34]
Generated Node #0,2: 64:[77, 2, 34] Operation: 88-54=34
Exploring Operation: 77-54=23, Resulting Numbers: [2, 88, 23]
Generated Node #0,3: 64:[2, 88, 23] Operation: 77-54=23
Exploring Operation: 54/2=27, Resulting Numbers: [77, 88, 27]
Generated Node #0,4: 64:[77, 88, 27] Operation: 54/2=27
Moving to Node #0,1
Current State: 64:[2, 54, 11], Operations: ['88-77=11']
Exploring Operation: 54-11=43, Resulting Numbers: [2, 43]
Generated Node #0,1,0: 64:[2, 43] Operation: 54-11=43
Exploring Operation: 2+54=56, Resulting Numbers: [11, 56]
Generated Node #0,1,1: 64:[11, 56] Operation: 2+54=56
Exploring Operation: 11-2=9, Resulting Numbers: [54, 9]
Generated Node #0,1,2: 64:[54, 9] Operation: 11-2=9
Exploring Operation: 54+11=65, Resulting Numbers: [2, 65]
Generated Node #0,1,3: 64:[2, 65] Operation: 54+11=65
Exploring Operation: 54/2=27, Resulting Numbers: [11, 27]
Generated Node #0,1,4: 64:[11, 27] Operation: 54/2=27
Moving to Node #0,2
Current State: 64:[77, 2, 34], Operations: ['88-54=34']
Exploring Operation: 34/2=17, Resulting Numbers: [77, 17]
Generated Node #0,2,0: 64:[77, 17] Operation: 34/2=17
Exploring Operation: 34-2=32, Resulting Numbers: [77, 32]
Generated Node #0,2,1: 64:[77, 32] Operation: 34-2=32
Exploring Operation: 77-2=75, Resulting Numbers: [34, 75]
Generated Node #0,2,2: 64:[34, 75] Operation: 77-2=75
Exploring Operation: 77-34=43, Resulting Numbers: [2, 43]
Generated Node #0,2,3: 64:[2, 43] Operation: 77-34=43
Exploring Operation: 77+2=79, Resulting Numbers: [34, 79]
Generated Node #0,2,4: 64:[34, 79] Operation: 77+2=79
Moving to Node #0,3
Current State: 64:[2, 88, 23], Operations: ['77-54=23']
Exploring Operation: 88-23=65, Resulting Numbers: [2, 65]
Generated Node #0,3,0: 64:[2, 65] Operation: 88-23=65
Exploring Operation: 88-2=86, Resulting Numbers: [23, 86]
Generated Node #0,3,1: 64:[23, 86] Operation: 88-2=86
Exploring Operation: 23-2=21, Resulting Numbers: [88, 21]
Generated Node #0,3,2: 64:[88, 21] Operation: 23-2=21
Exploring Operation: 2+23=25, Resulting Numbers: [88, 25]
Generated Node #0,3,3: 64:[88, 25] Operation: 2+23=25
Exploring Operation: 88/2=44, Resulting Numbers: [23, 44]
Generated Node #0,3,4: 64:[23, 44] Operation: 88/2=44
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 64:[2, 65], Operations: ['77-54=23', '88-23=65']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Exploring Operation: 2*65=130, Resulting Numbers: [130]
130,64 unequal: No Solution
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 64:[23, 44], Operations: ['77-54=23', '88/2=44']
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,64 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 64:[23, 86], Operations: ['77-54=23', '88-2=86']
Exploring Operation: 86-23=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Exploring Operation: 23+86=109, Resulting Numbers: [109]
109,64 unequal: No Solution
Exploring Operation: 23*86=1978, Resulting Numbers: [1978]
1978,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 64:[88, 21], Operations: ['77-54=23', '23-2=21']
Exploring Operation: 88-21=67, Resulting Numbers: [67]
67,64 unequal: No Solution
Exploring Operation: 88+21=109, Resulting Numbers: [109]
109,64 unequal: No Solution
Exploring Operation: 88*21=1848, Resulting Numbers: [1848]
1848,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 64:[88, 25], Operations: ['77-54=23', '2+23=25']
Exploring Operation: 88*25=2200, Resulting Numbers: [2200]
2200,64 unequal: No Solution
Exploring Operation: 88+25=113, Resulting Numbers: [113]
113,64 unequal: No Solution
Exploring Operation: 88-25=63, Resulting Numbers: [63]
63,64 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: 64:[77, 54, 44], Operations: ['88/2=44']
Exploring Operation: 77-44=33, Resulting Numbers: [54, 33]
Generated Node #0,0,0: 64:[54, 33] Operation: 77-44=33
Exploring Operation: 77-54=23, Resulting Numbers: [44, 23]
Generated Node #0,0,1: 64:[44, 23] Operation: 77-54=23
Exploring Operation: 77+44=121, Resulting Numbers: [54, 121]
Generated Node #0,0,2: 64:[54, 121] Operation: 77+44=121
Exploring Operation: 54+44=98, Resulting Numbers: [77, 98]
Generated Node #0,0,3: 64:[77, 98] Operation: 54+44=98
Exploring Operation: 54-44=10, Resulting Numbers: [77, 10]
Generated Node #0,0,4: 64:[77, 10] Operation: 54-44=10
Moving to Node #0,4
Current State: 64:[77, 88, 27], Operations: ['54/2=27']
Exploring Operation: 77-27=50, Resulting Numbers: [88, 50]
Generated Node #0,4,0: 64:[88, 50] Operation: 77-27=50
Exploring Operation: 88+27=115, Resulting Numbers: [77, 115]
Generated Node #0,4,1: 64:[77, 115] Operation: 88+27=115
Exploring Operation: 77+27=104, Resulting Numbers: [88, 104]
Generated Node #0,4,2: 64:[88, 104] Operation: 77+27=104
Exploring Operation: 88-27=61, Resulting Numbers: [77, 61]
Generated Node #0,4,3: 64:[77, 61] Operation: 88-27=61
Exploring Operation: 88-77=11, Resulting Numbers: [27, 11]
Generated Node #0,4,4: 64:[27, 11] Operation: 88-77=11
Moving to Node #0,1,3
Current State: 64:[2, 65], Operations: ['88-77=11', '54+11=65']
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,64 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Exploring Operation: 2*65=130, Resulting Numbers: [130]
130,64 unequal: No Solution
Moving to Node #0,1,4
Current State: 64:[11, 27], Operations: ['88-77=11', '54/2=27']
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,64 unequal: No Solution
Exploring Operation: 11*27=297, Resulting Numbers: [297]
297,64 unequal: No Solution
Moving to Node #0,4,4
Current State: 64:[27, 11], Operations: ['54/2=27', '88-77=11']
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 27*11=297, Resulting Numbers: [297]
297,64 unequal: No Solution
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[2, 43], Operations: ['88-77=11', '54-11=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,64 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,64 unequal: No Solution
Moving to Node #0,2,3
Current State: 64:[2, 43], Operations: ['88-54=34', '77-34=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,64 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[54, 9], Operations: ['88-77=11', '11-2=9']
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 54*9=486, Resulting Numbers: [486]
486,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[54, 33], Operations: ['88/2=44', '77-44=33']
Exploring Operation: 54+33=87, Resulting Numbers: [87]
87,64 unequal: No Solution
Exploring Operation: 54-33=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 54*33=1782, Resulting Numbers: [1782]
1782,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[11, 56], Operations: ['88-77=11', '2+54=56']
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,64 unequal: No Solution
Exploring Operation: 11*56=616, Resulting Numbers: [616]
616,64 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[77, 32], Operations: ['88-54=34', '34-2=32']
Exploring Operation: 77-32=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 77+32=109, Resulting Numbers: [109]
109,64 unequal: No Solution
Exploring Operation: 77*32=2464, Resulting Numbers: [2464]
2464,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[34, 75], Operations: ['88-54=34', '77-2=75']
Exploring Operation: 34*75=2550, Resulting Numbers: [2550]
2550,64 unequal: No Solution
Exploring Operation: 75-34=41, Resulting Numbers: [41]
41,64 unequal: No Solution
Exploring Operation: 34+75=109, Resulting Numbers: [109]
109,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[77, 17], Operations: ['88-54=34', '34/2=17']
Exploring Operation: 77-17=60, Resulting Numbers: [60]
60,64 unequal: No Solution
Exploring Operation: 77*17=1309, Resulting Numbers: [1309]
1309,64 unequal: No Solution
Exploring Operation: 77+17=94, Resulting Numbers: [94]
94,64 unequal: No Solution
Moving to Node #0,0,4
Current State: 64:[77, 10], Operations: ['88/2=44', '54-44=10']
Exploring Operation: 77*10=770, Resulting Numbers: [770]
770,64 unequal: No Solution
Exploring Operation: 77+10=87, Resulting Numbers: [87]
87,64 unequal: No Solution
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,64 unequal: No Solution
Moving to Node #0,4,3
Current State: 64:[77, 61], Operations: ['54/2=27', '88-27=61']
Exploring Operation: 77+61=138, Resulting Numbers: [138]
138,64 unequal: No Solution
Exploring Operation: 77-61=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 77*61=4697, Resulting Numbers: [4697]
4697,64 unequal: No Solution
Moving to Node #0,2,4
Current State: 64:[34, 79], Operations: ['88-54=34', '77+2=79']
Exploring Operation: 34*79=2686, Resulting Numbers: [2686]
2686,64 unequal: No Solution
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 34+79=113, Resulting Numbers: [113]
113,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[44, 23], Operations: ['88/2=44', '77-54=23']
Exploring Operation: 44+23=67, Resulting Numbers: [67]
67,64 unequal: No Solution
Exploring Operation: 44*23=1012, Resulting Numbers: [1012]
1012,64 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Moving to Node #0,4,0
Current State: 64:[88, 50], Operations: ['54/2=27', '77-27=50']
Exploring Operation: 88*50=4400, Resulting Numbers: [4400]
4400,64 unequal: No Solution
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,64 unequal: No Solution
Exploring Operation: 88+50=138, Resulting Numbers: [138]
138,64 unequal: No Solution
Moving to Node #0,0,3
Current State: 64:[77, 98], Operations: ['88/2=44', '54+44=98']
Exploring Operation: 77*98=7546, Resulting Numbers: [7546]
7546,64 unequal: No Solution
Exploring Operation: 77+98=175, Resulting Numbers: [175]
175,64 unequal: No Solution
Exploring Operation: 98-77=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Moving to Node #0,4,1
Current State: 64:[77, 115], Operations: ['54/2=27', '88+27=115']
Exploring Operation: 115-77=38, Resulting Numbers: [38]
38,64 unequal: No Solution
Exploring Operation: 77+115=192, Resulting Numbers: [192]
192,64 unequal: No Solution
Exploring Operation: 77*115=8855, Resulting Numbers: [8855]
8855,64 unequal: No Solution
Moving to Node #0,4,2
Current State: 64:[88, 104], Operations: ['54/2=27', '77+27=104']
Exploring Operation: 104-88=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 88*104=9152, Resulting Numbers: [9152]
9152,64 unequal: No Solution
Exploring Operation: 88+104=192, Resulting Numbers: [192]
192,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[54, 121], Operations: ['88/2=44', '77+44=121']
Exploring Operation: 54*121=6534, Resulting Numbers: [6534]
6534,64 unequal: No Solution
Exploring Operation: 54+121=175, Resulting Numbers: [175]
175,64 unequal: No Solution
Exploring Operation: 121-54=67, Resulting Numbers: [67]
67,64 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
10,
60,
72,
59
] | 62 | [
"72-10=62",
"60-59=1",
"62*1=62"
] | Current State: 62:[10, 60, 72, 59], Operations: []
Exploring Operation: 72-10=62, Resulting Numbers: [60, 59, 62]
Generated Node #2: [60, 59, 62] from Operation: 72-10=62
Current State: 62:[60, 59, 62], Operations: ['72-10=62']
Exploring Operation: 60-59=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 60-59=1
Current State: 62:[62, 1], Operations: ['72-10=62', '60-59=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[10, 60, 72, 59], Operations: []
Exploring Operation: 60-59=1, Resulting Numbers: [10, 72, 1]
Generated Node #0,0: 62:[10, 72, 1] Operation: 60-59=1
Exploring Operation: 10+60=70, Resulting Numbers: [72, 59, 70]
Generated Node #0,1: 62:[72, 59, 70] Operation: 10+60=70
Exploring Operation: 10+59=69, Resulting Numbers: [60, 72, 69]
Generated Node #0,2: 62:[60, 72, 69] Operation: 10+59=69
Exploring Operation: 60/10=6, Resulting Numbers: [72, 59, 6]
Generated Node #0,3: 62:[72, 59, 6] Operation: 60/10=6
Exploring Operation: 72-10=62, Resulting Numbers: [60, 59, 62]
Generated Node #0,4: 62:[60, 59, 62] Operation: 72-10=62
Moving to Node #0,4
Current State: 62:[60, 59, 62], Operations: ['72-10=62']
Exploring Operation: 59+62=121, Resulting Numbers: [60, 121]
Generated Node #0,4,0: 62:[60, 121] Operation: 59+62=121
Exploring Operation: 60+59=119, Resulting Numbers: [62, 119]
Generated Node #0,4,1: 62:[62, 119] Operation: 60+59=119
Exploring Operation: 62-59=3, Resulting Numbers: [60, 3]
Generated Node #0,4,2: 62:[60, 3] Operation: 62-59=3
Exploring Operation: 62-60=2, Resulting Numbers: [59, 2]
Generated Node #0,4,3: 62:[59, 2] Operation: 62-60=2
Exploring Operation: 60-59=1, Resulting Numbers: [62, 1]
Generated Node #0,4,4: 62:[62, 1] Operation: 60-59=1
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 62:[62, 1], Operations: ['72-10=62', '60-59=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[10, 60, 72, 59], Operations: []
Exploring Operation: 72-10=62, Resulting Numbers: [60, 59, 62]
Generated Node #0,4: 62:[60, 59, 62] Operation: 72-10=62
Moving to Node #0,4
Current State: 62:[60, 59, 62], Operations: ['72-10=62']
Exploring Operation: 60-59=1, Resulting Numbers: [62, 1]
Generated Node #0,4,4: 62:[62, 1] Operation: 60-59=1
Moving to Node #0,4,4
Current State: 62:[62, 1], Operations: ['72-10=62', '60-59=1']
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
64,
31,
77,
58
] | 76 | [
"64+31=95",
"77-58=19",
"95-19=76"
] | Current State: 76:[64, 31, 77, 58], Operations: []
Exploring Operation: 64+31=95, Resulting Numbers: [77, 58, 95]
Generated Node #2: [77, 58, 95] from Operation: 64+31=95
Current State: 76:[77, 58, 95], Operations: ['64+31=95']
Exploring Operation: 77-58=19, Resulting Numbers: [95, 19]
Generated Node #3: [95, 19] from Operation: 77-58=19
Current State: 76:[95, 19], Operations: ['64+31=95', '77-58=19']
Exploring Operation: 95-19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[64, 31, 77, 58], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [31, 77, 6]
Generated Node #0,0: 76:[31, 77, 6] Operation: 64-58=6
Exploring Operation: 58-31=27, Resulting Numbers: [64, 77, 27]
Generated Node #0,1: 76:[64, 77, 27] Operation: 58-31=27
Exploring Operation: 77-58=19, Resulting Numbers: [64, 31, 19]
Generated Node #0,2: 76:[64, 31, 19] Operation: 77-58=19
Moving to Node #0,0
Current State: 76:[31, 77, 6], Operations: ['64-58=6']
Exploring Operation: 77-31=46, Resulting Numbers: [6, 46]
Generated Node #0,0,0: 76:[6, 46] Operation: 77-31=46
Exploring Operation: 31-6=25, Resulting Numbers: [77, 25]
Generated Node #0,0,1: 76:[77, 25] Operation: 31-6=25
Exploring Operation: 31+6=37, Resulting Numbers: [77, 37]
Generated Node #0,0,2: 76:[77, 37] Operation: 31+6=37
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[77, 37], Operations: ['64-58=6', '31+6=37']
Exploring Operation: 77-37=40, Resulting Numbers: [40]
40,76 unequal: No Solution
Exploring Operation: 77+37=114, Resulting Numbers: [114]
114,76 unequal: No Solution
Exploring Operation: 77*37=2849, Resulting Numbers: [2849]
2849,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[77, 25], Operations: ['64-58=6', '31-6=25']
Exploring Operation: 77-25=52, Resulting Numbers: [52]
52,76 unequal: No Solution
Exploring Operation: 77+25=102, Resulting Numbers: [102]
102,76 unequal: No Solution
Exploring Operation: 77*25=1925, Resulting Numbers: [1925]
1925,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[6, 46], Operations: ['64-58=6', '77-31=46']
Exploring Operation: 6+46=52, Resulting Numbers: [52]
52,76 unequal: No Solution
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,76 unequal: No Solution
Exploring Operation: 6*46=276, Resulting Numbers: [276]
276,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 76:[64, 31, 19], Operations: ['77-58=19']
Exploring Operation: 64-31=33, Resulting Numbers: [19, 33]
Generated Node #0,2,0: 76:[19, 33] Operation: 64-31=33
Exploring Operation: 64-19=45, Resulting Numbers: [31, 45]
Generated Node #0,2,1: 76:[31, 45] Operation: 64-19=45
Exploring Operation: 64+19=83, Resulting Numbers: [31, 83]
Generated Node #0,2,2: 76:[31, 83] Operation: 64+19=83
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 76:[19, 33], Operations: ['77-58=19', '64-31=33']
Exploring Operation: 19*33=627, Resulting Numbers: [627]
627,76 unequal: No Solution
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,76 unequal: No Solution
Exploring Operation: 19+33=52, Resulting Numbers: [52]
52,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 76:[31, 45], Operations: ['77-58=19', '64-19=45']
Exploring Operation: 31*45=1395, Resulting Numbers: [1395]
1395,76 unequal: No Solution
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,76 unequal: No Solution
Exploring Operation: 31+45=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[64, 31, 77, 58], Operations: []
Exploring Operation: 77-58=19, Resulting Numbers: [64, 31, 19]
Generated Node #0,2: 76:[64, 31, 19] Operation: 77-58=19
Moving to Node #0,2
Current State: 76:[64, 31, 19], Operations: ['77-58=19']
Exploring Operation: 64-19=45, Resulting Numbers: [31, 45]
Generated Node #0,2,1: 76:[31, 45] Operation: 64-19=45
Moving to Node #0,2,1
Current State: 76:[31, 45], Operations: ['77-58=19', '64-19=45']
Exploring Operation: 31+45=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_3 | mult_heuristic |
[
16,
37,
69,
49
] | 98 | [
"69-37=32",
"32/16=2",
"49*2=98"
] | Current State: 98:[16, 37, 69, 49], Operations: []
Exploring Operation: 69-37=32, Resulting Numbers: [16, 49, 32]
Generated Node #2: [16, 49, 32] from Operation: 69-37=32
Current State: 98:[16, 49, 32], Operations: ['69-37=32']
Exploring Operation: 32/16=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 32/16=2
Current State: 98:[49, 2], Operations: ['69-37=32', '32/16=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[16, 37, 69, 49], Operations: []
Exploring Operation: 69-37=32, Resulting Numbers: [16, 49, 32]
Generated Node #0,0: 98:[16, 49, 32] Operation: 69-37=32
Exploring Operation: 69-16=53, Resulting Numbers: [37, 49, 53]
Generated Node #0,1: 98:[37, 49, 53] Operation: 69-16=53
Exploring Operation: 37+69=106, Resulting Numbers: [16, 49, 106]
Generated Node #0,2: 98:[16, 49, 106] Operation: 37+69=106
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[16, 49, 106], Operations: ['37+69=106']
Exploring Operation: 106-49=57, Resulting Numbers: [16, 57]
Generated Node #0,2,0: 98:[16, 57] Operation: 106-49=57
Exploring Operation: 106-16=90, Resulting Numbers: [49, 90]
Generated Node #0,2,1: 98:[49, 90] Operation: 106-16=90
Exploring Operation: 16+49=65, Resulting Numbers: [106, 65]
Generated Node #0,2,2: 98:[106, 65] Operation: 16+49=65
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 98:[49, 90], Operations: ['37+69=106', '106-16=90']
Exploring Operation: 90-49=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Exploring Operation: 49*90=4410, Resulting Numbers: [4410]
4410,98 unequal: No Solution
Exploring Operation: 49+90=139, Resulting Numbers: [139]
139,98 unequal: No Solution
No 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: 98:[16, 57], Operations: ['37+69=106', '106-49=57']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Exploring Operation: 16+57=73, Resulting Numbers: [73]
73,98 unequal: No Solution
Exploring Operation: 16*57=912, Resulting Numbers: [912]
912,98 unequal: No Solution
No 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: 98:[106, 65], Operations: ['37+69=106', '16+49=65']
Exploring Operation: 106*65=6890, Resulting Numbers: [6890]
6890,98 unequal: No Solution
Exploring Operation: 106+65=171, Resulting Numbers: [171]
171,98 unequal: No Solution
Exploring Operation: 106-65=41, Resulting Numbers: [41]
41,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[37, 49, 53], Operations: ['69-16=53']
Exploring Operation: 53-37=16, Resulting Numbers: [49, 16]
Generated Node #0,1,0: 98:[49, 16] Operation: 53-37=16
Exploring Operation: 37+53=90, Resulting Numbers: [49, 90]
Generated Node #0,1,1: 98:[49, 90] Operation: 37+53=90
Exploring Operation: 49-37=12, Resulting Numbers: [53, 12]
Generated Node #0,1,2: 98:[53, 12] Operation: 49-37=12
Moving to Node #0,1,0
Current State: 98:[49, 16], Operations: ['69-16=53', '53-37=16']
Exploring Operation: 49*16=784, Resulting Numbers: [784]
784,98 unequal: No Solution
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,98 unequal: No Solution
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[53, 12], Operations: ['69-16=53', '49-37=12']
Exploring Operation: 53*12=636, Resulting Numbers: [636]
636,98 unequal: No Solution
Exploring Operation: 53+12=65, Resulting Numbers: [65]
65,98 unequal: No Solution
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[49, 90], Operations: ['69-16=53', '37+53=90']
Exploring Operation: 49+90=139, Resulting Numbers: [139]
139,98 unequal: No Solution
Exploring Operation: 49*90=4410, Resulting Numbers: [4410]
4410,98 unequal: No Solution
Exploring Operation: 90-49=41, Resulting Numbers: [41]
41,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[16, 49, 32], Operations: ['69-37=32']
Exploring Operation: 32-16=16, Resulting Numbers: [49, 16]
Generated Node #0,0,0: 98:[49, 16] Operation: 32-16=16
Exploring Operation: 32/16=2, Resulting Numbers: [49, 2]
Generated Node #0,0,1: 98:[49, 2] Operation: 32/16=2
Exploring Operation: 16+32=48, Resulting Numbers: [49, 48]
Generated Node #0,0,2: 98:[49, 48] Operation: 16+32=48
Moving to Node #0,0,1
Current State: 98:[49, 2], Operations: ['69-37=32', '32/16=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[16, 37, 69, 49], Operations: []
Exploring Operation: 69-37=32, Resulting Numbers: [16, 49, 32]
Generated Node #0,0: 98:[16, 49, 32] Operation: 69-37=32
Moving to Node #0,0
Current State: 98:[16, 49, 32], Operations: ['69-37=32']
Exploring Operation: 32/16=2, Resulting Numbers: [49, 2]
Generated Node #0,0,1: 98:[49, 2] Operation: 32/16=2
Moving to Node #0,0,1
Current State: 98:[49, 2], Operations: ['69-37=32', '32/16=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | mult_heuristic |
[
64,
32,
38,
73
] | 61 | [
"64+32=96",
"73-38=35",
"96-35=61"
] | Current State: 61:[64, 32, 38, 73], Operations: []
Exploring Operation: 64+32=96, Resulting Numbers: [38, 73, 96]
Generated Node #2: [38, 73, 96] from Operation: 64+32=96
Current State: 61:[38, 73, 96], Operations: ['64+32=96']
Exploring Operation: 73-38=35, Resulting Numbers: [96, 35]
Generated Node #3: [96, 35] from Operation: 73-38=35
Current State: 61:[96, 35], Operations: ['64+32=96', '73-38=35']
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[64, 32, 38, 73], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [64, 32, 35]
Generated Node #0,0: 61:[64, 32, 35] Operation: 73-38=35
Exploring Operation: 32+38=70, Resulting Numbers: [64, 73, 70]
Generated Node #0,1: 61:[64, 73, 70] Operation: 32+38=70
Exploring Operation: 73-32=41, Resulting Numbers: [64, 38, 41]
Generated Node #0,2: 61:[64, 38, 41] Operation: 73-32=41
Moving to Node #0,1
Current State: 61:[64, 73, 70], Operations: ['32+38=70']
Exploring Operation: 73-70=3, Resulting Numbers: [64, 3]
Generated Node #0,1,0: 61:[64, 3] Operation: 73-70=3
Exploring Operation: 73-64=9, Resulting Numbers: [70, 9]
Generated Node #0,1,1: 61:[70, 9] Operation: 73-64=9
Exploring Operation: 70-64=6, Resulting Numbers: [73, 6]
Generated Node #0,1,2: 61:[73, 6] Operation: 70-64=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[64, 3], Operations: ['32+38=70', '73-70=3']
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,61 unequal: No Solution
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[64, 32, 38, 73], Operations: []
Exploring Operation: 32+38=70, Resulting Numbers: [64, 73, 70]
Generated Node #0,1: 61:[64, 73, 70] Operation: 32+38=70
Moving to Node #0,1
Current State: 61:[64, 73, 70], Operations: ['32+38=70']
Exploring Operation: 73-70=3, Resulting Numbers: [64, 3]
Generated Node #0,1,0: 61:[64, 3] Operation: 73-70=3
Moving to Node #0,1,0
Current State: 61:[64, 3], Operations: ['32+38=70', '73-70=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
54,
41,
86,
77
] | 86 | [
"54+41=95",
"86-77=9",
"95-9=86"
] | Current State: 86:[54, 41, 86, 77], Operations: []
Exploring Operation: 54+41=95, Resulting Numbers: [86, 77, 95]
Generated Node #2: [86, 77, 95] from Operation: 54+41=95
Current State: 86:[86, 77, 95], Operations: ['54+41=95']
Exploring Operation: 86-77=9, Resulting Numbers: [95, 9]
Generated Node #3: [95, 9] from Operation: 86-77=9
Current State: 86:[95, 9], Operations: ['54+41=95', '86-77=9']
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[54, 41, 86, 77], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [54, 41, 9]
Generated Node #0,0: 86:[54, 41, 9] Operation: 86-77=9
Exploring Operation: 54-41=13, Resulting Numbers: [86, 77, 13]
Generated Node #0,1: 86:[86, 77, 13] Operation: 54-41=13
Exploring Operation: 77-41=36, Resulting Numbers: [54, 86, 36]
Generated Node #0,2: 86:[54, 86, 36] Operation: 77-41=36
Exploring Operation: 54+41=95, Resulting Numbers: [86, 77, 95]
Generated Node #0,3: 86:[86, 77, 95] Operation: 54+41=95
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[54, 86, 36], Operations: ['77-41=36']
Exploring Operation: 54-36=18, Resulting Numbers: [86, 18]
Generated Node #0,2,0: 86:[86, 18] Operation: 54-36=18
Exploring Operation: 86-54=32, Resulting Numbers: [36, 32]
Generated Node #0,2,1: 86:[36, 32] Operation: 86-54=32
Exploring Operation: 54+36=90, Resulting Numbers: [86, 90]
Generated Node #0,2,2: 86:[86, 90] Operation: 54+36=90
Exploring Operation: 86-36=50, Resulting Numbers: [54, 50]
Generated Node #0,2,3: 86:[54, 50] Operation: 86-36=50
Moving to Node #0,2,2
Current State: 86:[86, 90], Operations: ['77-41=36', '54+36=90']
Exploring Operation: 86+90=176, Resulting Numbers: [176]
176,86 unequal: No Solution
Exploring Operation: 86*90=7740, Resulting Numbers: [7740]
7740,86 unequal: No Solution
Exploring Operation: 90-86=4, Resulting Numbers: [4]
4,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[86, 18], Operations: ['77-41=36', '54-36=18']
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,86 unequal: No Solution
Exploring Operation: 86+18=104, Resulting Numbers: [104]
104,86 unequal: No Solution
Exploring Operation: 86*18=1548, Resulting Numbers: [1548]
1548,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[54, 50], Operations: ['77-41=36', '86-36=50']
Exploring Operation: 54+50=104, Resulting Numbers: [104]
104,86 unequal: No Solution
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,86 unequal: No Solution
Exploring Operation: 54*50=2700, Resulting Numbers: [2700]
2700,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[36, 32], Operations: ['77-41=36', '86-54=32']
Exploring Operation: 36*32=1152, Resulting Numbers: [1152]
1152,86 unequal: No Solution
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,86 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 86:[86, 77, 95], Operations: ['54+41=95']
Exploring Operation: 86-77=9, Resulting Numbers: [95, 9]
Generated Node #0,3,0: 86:[95, 9] Operation: 86-77=9
Exploring Operation: 95-77=18, Resulting Numbers: [86, 18]
Generated Node #0,3,1: 86:[86, 18] Operation: 95-77=18
Exploring Operation: 95-86=9, Resulting Numbers: [77, 9]
Generated Node #0,3,2: 86:[77, 9] Operation: 95-86=9
Exploring Operation: 86+77=163, Resulting Numbers: [95, 163]
Generated Node #0,3,3: 86:[95, 163] Operation: 86+77=163
Moving to Node #0,3,0
Current State: 86:[95, 9], Operations: ['54+41=95', '86-77=9']
Exploring Operation: 95+9=104, Resulting Numbers: [104]
104,86 unequal: No Solution
Exploring Operation: 95*9=855, Resulting Numbers: [855]
855,86 unequal: No Solution
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[54, 41, 86, 77], Operations: []
Exploring Operation: 54+41=95, Resulting Numbers: [86, 77, 95]
Generated Node #0,3: 86:[86, 77, 95] Operation: 54+41=95
Moving to Node #0,3
Current State: 86:[86, 77, 95], Operations: ['54+41=95']
Exploring Operation: 86-77=9, Resulting Numbers: [95, 9]
Generated Node #0,3,0: 86:[95, 9] Operation: 86-77=9
Moving to Node #0,3,0
Current State: 86:[95, 9], Operations: ['54+41=95', '86-77=9']
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_4 | mult_heuristic |
[
10,
61,
62,
56
] | 31 | [
"61-56=5",
"10/5=2",
"62/2=31"
] | Current State: 31:[10, 61, 62, 56], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [10, 62, 5]
Generated Node #2: [10, 62, 5] from Operation: 61-56=5
Current State: 31:[10, 62, 5], Operations: ['61-56=5']
Exploring Operation: 10/5=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 10/5=2
Current State: 31:[62, 2], Operations: ['61-56=5', '10/5=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[10, 61, 62, 56], Operations: []
Exploring Operation: 61-10=51, Resulting Numbers: [62, 56, 51]
Generated Node #0,0: 31:[62, 56, 51] Operation: 61-10=51
Exploring Operation: 62-10=52, Resulting Numbers: [61, 56, 52]
Generated Node #0,1: 31:[61, 56, 52] Operation: 62-10=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[62, 56, 51], Operations: ['61-10=51']
Exploring Operation: 62-56=6, Resulting Numbers: [51, 6]
Generated Node #0,0,0: 31:[51, 6] Operation: 62-56=6
Exploring Operation: 62-51=11, Resulting Numbers: [56, 11]
Generated Node #0,0,1: 31:[56, 11] Operation: 62-51=11
Moving to Node #0,0,0
Current State: 31:[51, 6], Operations: ['61-10=51', '62-56=6']
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,31 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[56, 11], Operations: ['61-10=51', '62-51=11']
Exploring Operation: 56+11=67, Resulting Numbers: [67]
67,31 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[61, 56, 52], Operations: ['62-10=52']
Exploring Operation: 61-52=9, Resulting Numbers: [56, 9]
Generated Node #0,1,0: 31:[56, 9] Operation: 61-52=9
Exploring Operation: 61-56=5, Resulting Numbers: [52, 5]
Generated Node #0,1,1: 31:[52, 5] Operation: 61-56=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[56, 9], Operations: ['62-10=52', '61-52=9']
Exploring Operation: 56+9=65, Resulting Numbers: [65]
65,31 unequal: No Solution
Exploring Operation: 56-9=47, Resulting Numbers: [47]
47,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 31:[52, 5], Operations: ['62-10=52', '61-56=5']
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,31 unequal: No Solution
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
41,
97,
45,
27
] | 38 | [
"97-41=56",
"45-27=18",
"56-18=38"
] | Current State: 38:[41, 97, 45, 27], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [45, 27, 56]
Generated Node #2: [45, 27, 56] from Operation: 97-41=56
Current State: 38:[45, 27, 56], Operations: ['97-41=56']
Exploring Operation: 45-27=18, Resulting Numbers: [56, 18]
Generated Node #3: [56, 18] from Operation: 45-27=18
Current State: 38:[56, 18], Operations: ['97-41=56', '45-27=18']
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[41, 97, 45, 27], Operations: []
Exploring Operation: 97-45=52, Resulting Numbers: [41, 27, 52]
Generated Node #0,0: 38:[41, 27, 52] Operation: 97-45=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[41, 27, 52], Operations: ['97-45=52']
Exploring Operation: 52-27=25, Resulting Numbers: [41, 25]
Generated Node #0,0,0: 38:[41, 25] Operation: 52-27=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[41, 25], Operations: ['97-45=52', '52-27=25']
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
29,
42,
55,
54
] | 70 | [
"29+42=71",
"55-54=1",
"71-1=70"
] | Current State: 70:[29, 42, 55, 54], Operations: []
Exploring Operation: 29+42=71, Resulting Numbers: [55, 54, 71]
Generated Node #2: [55, 54, 71] from Operation: 29+42=71
Current State: 70:[55, 54, 71], Operations: ['29+42=71']
Exploring Operation: 55-54=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 55-54=1
Current State: 70:[71, 1], Operations: ['29+42=71', '55-54=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[29, 42, 55, 54], Operations: []
Exploring Operation: 55-42=13, Resulting Numbers: [29, 54, 13]
Generated Node #0,0: 70:[29, 54, 13] Operation: 55-42=13
Exploring Operation: 55-54=1, Resulting Numbers: [29, 42, 1]
Generated Node #0,1: 70:[29, 42, 1] Operation: 55-54=1
Moving to Node #0,1
Current State: 70:[29, 42, 1], Operations: ['55-54=1']
Exploring Operation: 42-29=13, Resulting Numbers: [1, 13]
Generated Node #0,1,0: 70:[1, 13] Operation: 42-29=13
Exploring Operation: 29+42=71, Resulting Numbers: [1, 71]
Generated Node #0,1,1: 70:[1, 71] Operation: 29+42=71
Moving to Node #0,0
Current State: 70:[29, 54, 13], Operations: ['55-42=13']
Exploring Operation: 54+13=67, Resulting Numbers: [29, 67]
Generated Node #0,0,0: 70:[29, 67] Operation: 54+13=67
Exploring Operation: 54-29=25, Resulting Numbers: [13, 25]
Generated Node #0,0,1: 70:[13, 25] Operation: 54-29=25
Moving to Node #0,1,0
Current State: 70:[1, 13], Operations: ['55-54=1', '42-29=13']
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[1, 71], Operations: ['55-54=1', '29+42=71']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[29, 42, 55, 54], Operations: []
Exploring Operation: 55-54=1, Resulting Numbers: [29, 42, 1]
Generated Node #0,1: 70:[29, 42, 1] Operation: 55-54=1
Moving to Node #0,1
Current State: 70:[29, 42, 1], Operations: ['55-54=1']
Exploring Operation: 29+42=71, Resulting Numbers: [1, 71]
Generated Node #0,1,1: 70:[1, 71] Operation: 29+42=71
Moving to Node #0,1,1
Current State: 70:[1, 71], Operations: ['55-54=1', '29+42=71']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.988715 | hs_2 | mult_heuristic |
[
98,
47,
67,
11
] | 67 | [
"98+47=145",
"67+11=78",
"145-78=67"
] | Current State: 67:[98, 47, 67, 11], Operations: []
Exploring Operation: 98+47=145, Resulting Numbers: [67, 11, 145]
Generated Node #2: [67, 11, 145] from Operation: 98+47=145
Current State: 67:[67, 11, 145], Operations: ['98+47=145']
Exploring Operation: 67+11=78, Resulting Numbers: [145, 78]
Generated Node #3: [145, 78] from Operation: 67+11=78
Current State: 67:[145, 78], Operations: ['98+47=145', '67+11=78']
Exploring Operation: 145-78=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[98, 47, 67, 11], Operations: []
Exploring Operation: 98-11=87, Resulting Numbers: [47, 67, 87]
Generated Node #0,0: 67:[47, 67, 87] Operation: 98-11=87
Moving to Node #0,0
Current State: 67:[47, 67, 87], Operations: ['98-11=87']
Exploring Operation: 87-47=40, Resulting Numbers: [67, 40]
Generated Node #0,0,0: 67:[67, 40] Operation: 87-47=40
Moving to Node #0,0,0
Current State: 67:[67, 40], Operations: ['98-11=87', '87-47=40']
Exploring Operation: 67+40=107, Resulting Numbers: [107]
107,67 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
84,
6,
50,
84
] | 57 | [
"84/84=1",
"6+50=56",
"1+56=57"
] | Current State: 57:[84, 6, 50, 84], Operations: []
Exploring Operation: 84/84=1, Resulting Numbers: [6, 50, 1]
Generated Node #2: [6, 50, 1] from Operation: 84/84=1
Current State: 57:[6, 50, 1], Operations: ['84/84=1']
Exploring Operation: 6+50=56, Resulting Numbers: [1, 56]
Generated Node #3: [1, 56] from Operation: 6+50=56
Current State: 57:[1, 56], Operations: ['84/84=1', '6+50=56']
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[84, 6, 50, 84], Operations: []
Exploring Operation: 84/84=1, Resulting Numbers: [6, 50, 1]
Generated Node #0,0: 57:[6, 50, 1] Operation: 84/84=1
Exploring Operation: 84-84=0, Resulting Numbers: [6, 50, 0]
Generated Node #0,1: 57:[6, 50, 0] Operation: 84-84=0
Moving to Node #0,0
Current State: 57:[6, 50, 1], Operations: ['84/84=1']
Exploring Operation: 6-1=5, Resulting Numbers: [50, 5]
Generated Node #0,0,0: 57:[50, 5] Operation: 6-1=5
Exploring Operation: 6+50=56, Resulting Numbers: [1, 56]
Generated Node #0,0,1: 57:[1, 56] Operation: 6+50=56
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 57:[1, 56], Operations: ['84/84=1', '6+50=56']
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[84, 6, 50, 84], Operations: []
Exploring Operation: 84/84=1, Resulting Numbers: [6, 50, 1]
Generated Node #0,0: 57:[6, 50, 1] Operation: 84/84=1
Moving to Node #0,0
Current State: 57:[6, 50, 1], Operations: ['84/84=1']
Exploring Operation: 6+50=56, Resulting Numbers: [1, 56]
Generated Node #0,0,1: 57:[1, 56] Operation: 6+50=56
Moving to Node #0,0,1
Current State: 57:[1, 56], Operations: ['84/84=1', '6+50=56']
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
82,
90,
22,
86
] | 56 | [
"90-82=8",
"86-22=64",
"64-8=56"
] | Current State: 56:[82, 90, 22, 86], Operations: []
Exploring Operation: 90-82=8, Resulting Numbers: [22, 86, 8]
Generated Node #2: [22, 86, 8] from Operation: 90-82=8
Current State: 56:[22, 86, 8], Operations: ['90-82=8']
Exploring Operation: 86-22=64, Resulting Numbers: [8, 64]
Generated Node #3: [8, 64] from Operation: 86-22=64
Current State: 56:[8, 64], Operations: ['90-82=8', '86-22=64']
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[82, 90, 22, 86], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [90, 22, 4]
Generated Node #0,0: 56:[90, 22, 4] Operation: 86-82=4
Exploring Operation: 90-86=4, Resulting Numbers: [82, 22, 4]
Generated Node #0,1: 56:[82, 22, 4] Operation: 90-86=4
Exploring Operation: 90-82=8, Resulting Numbers: [22, 86, 8]
Generated Node #0,2: 56:[22, 86, 8] Operation: 90-82=8
Exploring Operation: 82-22=60, Resulting Numbers: [90, 86, 60]
Generated Node #0,3: 56:[90, 86, 60] Operation: 82-22=60
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[82, 22, 4], Operations: ['90-86=4']
Exploring Operation: 22+4=26, Resulting Numbers: [82, 26]
Generated Node #0,1,0: 56:[82, 26] Operation: 22+4=26
Exploring Operation: 82-4=78, Resulting Numbers: [22, 78]
Generated Node #0,1,1: 56:[22, 78] Operation: 82-4=78
Exploring Operation: 82-22=60, Resulting Numbers: [4, 60]
Generated Node #0,1,2: 56:[4, 60] Operation: 82-22=60
Exploring Operation: 22-4=18, Resulting Numbers: [82, 18]
Generated Node #0,1,3: 56:[82, 18] Operation: 22-4=18
Moving to Node #0,1,2
Current State: 56:[4, 60], Operations: ['90-86=4', '82-22=60']
Exploring Operation: 4*60=240, Resulting Numbers: [240]
240,56 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,56 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[82, 90, 22, 86], Operations: []
Exploring Operation: 90-86=4, Resulting Numbers: [82, 22, 4]
Generated Node #0,1: 56:[82, 22, 4] Operation: 90-86=4
Moving to Node #0,1
Current State: 56:[82, 22, 4], Operations: ['90-86=4']
Exploring Operation: 82-22=60, Resulting Numbers: [4, 60]
Generated Node #0,1,2: 56:[4, 60] Operation: 82-22=60
Moving to Node #0,1,2
Current State: 56:[4, 60], Operations: ['90-86=4', '82-22=60']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
32,
83,
55,
32
] | 29 | [
"32/32=1",
"83-55=28",
"1+28=29"
] | Current State: 29:[32, 83, 55, 32], Operations: []
Exploring Operation: 32/32=1, Resulting Numbers: [83, 55, 1]
Generated Node #2: [83, 55, 1] from Operation: 32/32=1
Current State: 29:[83, 55, 1], Operations: ['32/32=1']
Exploring Operation: 83-55=28, Resulting Numbers: [1, 28]
Generated Node #3: [1, 28] from Operation: 83-55=28
Current State: 29:[1, 28], Operations: ['32/32=1', '83-55=28']
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[32, 83, 55, 32], Operations: []
Exploring Operation: 83-55=28, Resulting Numbers: [32, 32, 28]
Generated Node #0,0: 29:[32, 32, 28] Operation: 83-55=28
Exploring Operation: 83-32=51, Resulting Numbers: [55, 32, 51]
Generated Node #0,1: 29:[55, 32, 51] Operation: 83-32=51
Moving to Node #0,0
Current State: 29:[32, 32, 28], Operations: ['83-55=28']
Exploring Operation: 32-28=4, Resulting Numbers: [32, 4]
Generated Node #0,0,0: 29:[32, 4] Operation: 32-28=4
Exploring Operation: 32-28=4, Resulting Numbers: [32, 4]
Generated Node #0,0,1: 29:[32, 4] Operation: 32-28=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[32, 4], Operations: ['83-55=28', '32-28=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[32, 4], Operations: ['83-55=28', '32-28=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,29 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: 29:[55, 32, 51], Operations: ['83-32=51']
Exploring Operation: 55-32=23, Resulting Numbers: [51, 23]
Generated Node #0,1,0: 29:[51, 23] Operation: 55-32=23
Exploring Operation: 55-51=4, Resulting Numbers: [32, 4]
Generated Node #0,1,1: 29:[32, 4] Operation: 55-51=4
Moving to Node #0,1,0
Current State: 29:[51, 23], Operations: ['83-32=51', '55-32=23']
Exploring Operation: 51+23=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[32, 4], Operations: ['83-32=51', '55-51=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,29 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
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