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 |
|---|---|---|---|---|---|---|---|---|
[
58,
16,
26,
78
] | 76 | [
"58-26=32",
"32/16=2",
"78-2=76"
] | Current State: 76:[58, 16, 26, 78], Operations: []
Exploring Operation: 58-26=32, Resulting Numbers: [16, 78, 32]
Generated Node #2: [16, 78, 32] from Operation: 58-26=32
Current State: 76:[16, 78, 32], Operations: ['58-26=32']
Exploring Operation: 32/16=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 32/16=2
Current State: 76:[78, 2], Operations: ['58-26=32', '32/16=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[58, 16, 26, 78], Operations: []
Exploring Operation: 58+16=74, Resulting Numbers: [26, 78, 74]
Generated Node #0,0: 76:[26, 78, 74] Operation: 58+16=74
Exploring Operation: 58-26=32, Resulting Numbers: [16, 78, 32]
Generated Node #0,1: 76:[16, 78, 32] Operation: 58-26=32
Moving to Node #0,0
Current State: 76:[26, 78, 74], Operations: ['58+16=74']
Exploring Operation: 78/26=3, Resulting Numbers: [74, 3]
Generated Node #0,0,0: 76:[74, 3] Operation: 78/26=3
Exploring Operation: 78-74=4, Resulting Numbers: [26, 4]
Generated Node #0,0,1: 76:[26, 4] Operation: 78-74=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[74, 3], Operations: ['58+16=74', '78/26=3']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,76 unequal: No Solution
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,76 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:[26, 4], Operations: ['58+16=74', '78-74=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,76 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: 76:[16, 78, 32], Operations: ['58-26=32']
Exploring Operation: 32/16=2, Resulting Numbers: [78, 2]
Generated Node #0,1,0: 76:[78, 2] Operation: 32/16=2
Exploring Operation: 32-16=16, Resulting Numbers: [78, 16]
Generated Node #0,1,1: 76:[78, 16] Operation: 32-16=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[78, 2], Operations: ['58-26=32', '32/16=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[58, 16, 26, 78], Operations: []
Exploring Operation: 58-26=32, Resulting Numbers: [16, 78, 32]
Generated Node #0,1: 76:[16, 78, 32] Operation: 58-26=32
Moving to Node #0,1
Current State: 76:[16, 78, 32], Operations: ['58-26=32']
Exploring Operation: 32/16=2, Resulting Numbers: [78, 2]
Generated Node #0,1,0: 76:[78, 2] Operation: 32/16=2
Moving to Node #0,1,0
Current State: 76:[78, 2], Operations: ['58-26=32', '32/16=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
24,
14,
23,
15
] | 42 | [
"24*14=336",
"23-15=8",
"336/8=42"
] | Current State: 42:[24, 14, 23, 15], Operations: []
Exploring Operation: 24*14=336, Resulting Numbers: [23, 15, 336]
Generated Node #2: [23, 15, 336] from Operation: 24*14=336
Current State: 42:[23, 15, 336], Operations: ['24*14=336']
Exploring Operation: 23-15=8, Resulting Numbers: [336, 8]
Generated Node #3: [336, 8] from Operation: 23-15=8
Current State: 42:[336, 8], Operations: ['24*14=336', '23-15=8']
Exploring Operation: 336/8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[24, 14, 23, 15], Operations: []
Exploring Operation: 24-15=9, Resulting Numbers: [14, 23, 9]
Generated Node #0,0: 42:[14, 23, 9] Operation: 24-15=9
Exploring Operation: 23-15=8, Resulting Numbers: [24, 14, 8]
Generated Node #0,1: 42:[24, 14, 8] Operation: 23-15=8
Exploring Operation: 24-23=1, Resulting Numbers: [14, 15, 1]
Generated Node #0,2: 42:[14, 15, 1] Operation: 24-23=1
Moving to Node #0,2
Current State: 42:[14, 15, 1], Operations: ['24-23=1']
Exploring Operation: 14*1=14, Resulting Numbers: [15, 14]
Generated Node #0,2,0: 42:[15, 14] Operation: 14*1=14
Exploring Operation: 14/1=14, Resulting Numbers: [15, 14]
Generated Node #0,2,1: 42:[15, 14] Operation: 14/1=14
Exploring Operation: 15-1=14, Resulting Numbers: [14, 14]
Generated Node #0,2,2: 42:[14, 14] Operation: 15-1=14
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 42:[14, 14], Operations: ['24-23=1', '15-1=14']
Exploring Operation: 14/14=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 14-14=0, Resulting Numbers: [0]
0,42 unequal: No Solution
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 42:[15, 14], Operations: ['24-23=1', '14*1=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 42:[15, 14], Operations: ['24-23=1', '14/1=14']
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,42 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,42 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:[14, 23, 9], Operations: ['24-15=9']
Exploring Operation: 23-9=14, Resulting Numbers: [14, 14]
Generated Node #0,0,0: 42:[14, 14] Operation: 23-9=14
Exploring Operation: 23-14=9, Resulting Numbers: [9, 9]
Generated Node #0,0,1: 42:[9, 9] Operation: 23-14=9
Exploring Operation: 14-9=5, Resulting Numbers: [23, 5]
Generated Node #0,0,2: 42:[23, 5] Operation: 14-9=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[14, 14], Operations: ['24-15=9', '23-9=14']
Exploring Operation: 14-14=0, Resulting Numbers: [0]
0,42 unequal: No Solution
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 14/14=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 #0,0,2
Current State: 42:[23, 5], Operations: ['24-15=9', '14-9=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 23*5=115, Resulting Numbers: [115]
115,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 42:[9, 9], Operations: ['24-15=9', '23-14=9']
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,42 unequal: No Solution
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,42 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:[24, 14, 8], Operations: ['23-15=8']
Exploring Operation: 14-8=6, Resulting Numbers: [24, 6]
Generated Node #0,1,0: 42:[24, 6] Operation: 14-8=6
Exploring Operation: 24-8=16, Resulting Numbers: [14, 16]
Generated Node #0,1,1: 42:[14, 16] Operation: 24-8=16
Exploring Operation: 24/8=3, Resulting Numbers: [14, 3]
Generated Node #0,1,2: 42:[14, 3] Operation: 24/8=3
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 42:[14, 3], Operations: ['23-15=8', '24/8=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[24, 14, 23, 15], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [24, 14, 8]
Generated Node #0,1: 42:[24, 14, 8] Operation: 23-15=8
Moving to Node #0,1
Current State: 42:[24, 14, 8], Operations: ['23-15=8']
Exploring Operation: 24/8=3, Resulting Numbers: [14, 3]
Generated Node #0,1,2: 42:[14, 3] Operation: 24/8=3
Moving to Node #0,1,2
Current State: 42:[14, 3], Operations: ['23-15=8', '24/8=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
71,
3,
98,
94
] | 17 | [
"71-3=68",
"98-94=4",
"68/4=17"
] | Current State: 17:[71, 3, 98, 94], Operations: []
Exploring Operation: 71-3=68, Resulting Numbers: [98, 94, 68]
Generated Node #2: [98, 94, 68] from Operation: 71-3=68
Current State: 17:[98, 94, 68], Operations: ['71-3=68']
Exploring Operation: 98-94=4, Resulting Numbers: [68, 4]
Generated Node #3: [68, 4] from Operation: 98-94=4
Current State: 17:[68, 4], Operations: ['71-3=68', '98-94=4']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[71, 3, 98, 94], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [71, 3, 4]
Generated Node #0,0: 17:[71, 3, 4] Operation: 98-94=4
Exploring Operation: 98-71=27, Resulting Numbers: [3, 94, 27]
Generated Node #0,1: 17:[3, 94, 27] Operation: 98-71=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[71, 3, 4], Operations: ['98-94=4']
Exploring Operation: 71-3=68, Resulting Numbers: [4, 68]
Generated Node #0,0,0: 17:[4, 68] Operation: 71-3=68
Exploring Operation: 3*4=12, Resulting Numbers: [71, 12]
Generated Node #0,0,1: 17:[71, 12] Operation: 3*4=12
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 17:[71, 12], Operations: ['98-94=4', '3*4=12']
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,17 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,17 unequal: No Solution
No 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: 17:[4, 68], Operations: ['98-94=4', '71-3=68']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[71, 3, 98, 94], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [71, 3, 4]
Generated Node #0,0: 17:[71, 3, 4] Operation: 98-94=4
Moving to Node #0,0
Current State: 17:[71, 3, 4], Operations: ['98-94=4']
Exploring Operation: 71-3=68, Resulting Numbers: [4, 68]
Generated Node #0,0,0: 17:[4, 68] Operation: 71-3=68
Moving to Node #0,0,0
Current State: 17:[4, 68], Operations: ['98-94=4', '71-3=68']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
1,
32,
9,
36
] | 60 | [
"1+32=33",
"36-9=27",
"33+27=60"
] | Current State: 60:[1, 32, 9, 36], Operations: []
Exploring Operation: 1+32=33, Resulting Numbers: [9, 36, 33]
Generated Node #2: [9, 36, 33] from Operation: 1+32=33
Current State: 60:[9, 36, 33], Operations: ['1+32=33']
Exploring Operation: 36-9=27, Resulting Numbers: [33, 27]
Generated Node #3: [33, 27] from Operation: 36-9=27
Current State: 60:[33, 27], Operations: ['1+32=33', '36-9=27']
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[1, 32, 9, 36], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [1, 9, 4]
Generated Node #0,0: 60:[1, 9, 4] Operation: 36-32=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[1, 9, 4], Operations: ['36-32=4']
Exploring Operation: 1+9=10, Resulting Numbers: [4, 10]
Generated Node #0,0,0: 60:[4, 10] Operation: 1+9=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[4, 10], Operations: ['36-32=4', '1+9=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
4,
82,
85,
84
] | 84 | [
"4+82=86",
"86-85=1",
"84*1=84"
] | Current State: 84:[4, 82, 85, 84], Operations: []
Exploring Operation: 4+82=86, Resulting Numbers: [85, 84, 86]
Generated Node #2: [85, 84, 86] from Operation: 4+82=86
Current State: 84:[85, 84, 86], Operations: ['4+82=86']
Exploring Operation: 86-85=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 86-85=1
Current State: 84:[84, 1], Operations: ['4+82=86', '86-85=1']
Exploring Operation: 84*1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[4, 82, 85, 84], Operations: []
Exploring Operation: 4+82=86, Resulting Numbers: [85, 84, 86]
Generated Node #0,0: 84:[85, 84, 86] Operation: 4+82=86
Exploring Operation: 84-82=2, Resulting Numbers: [4, 85, 2]
Generated Node #0,1: 84:[4, 85, 2] Operation: 84-82=2
Exploring Operation: 85-82=3, Resulting Numbers: [4, 84, 3]
Generated Node #0,2: 84:[4, 84, 3] Operation: 85-82=3
Exploring Operation: 85-84=1, Resulting Numbers: [4, 82, 1]
Generated Node #0,3: 84:[4, 82, 1] Operation: 85-84=1
Exploring Operation: 84/4=21, Resulting Numbers: [82, 85, 21]
Generated Node #0,4: 84:[82, 85, 21] Operation: 84/4=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[4, 84, 3], Operations: ['85-82=3']
Exploring Operation: 4*3=12, Resulting Numbers: [84, 12]
Generated Node #0,2,0: 84:[84, 12] Operation: 4*3=12
Exploring Operation: 4+3=7, Resulting Numbers: [84, 7]
Generated Node #0,2,1: 84:[84, 7] Operation: 4+3=7
Exploring Operation: 84/3=28, Resulting Numbers: [4, 28]
Generated Node #0,2,2: 84:[4, 28] Operation: 84/3=28
Exploring Operation: 4-3=1, Resulting Numbers: [84, 1]
Generated Node #0,2,3: 84:[84, 1] Operation: 4-3=1
Exploring Operation: 84/4=21, Resulting Numbers: [3, 21]
Generated Node #0,2,4: 84:[3, 21] Operation: 84/4=21
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 84:[84, 12], Operations: ['85-82=3', '4*3=12']
Exploring Operation: 84+12=96, Resulting Numbers: [96]
96,84 unequal: No Solution
Exploring Operation: 84*12=1008, Resulting Numbers: [1008]
1008,84 unequal: No Solution
Exploring Operation: 84-12=72, Resulting Numbers: [72]
72,84 unequal: No Solution
Exploring Operation: 84/12=7, Resulting Numbers: [7]
7,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 84:[84, 7], Operations: ['85-82=3', '4+3=7']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,84 unequal: No Solution
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 84+7=91, Resulting Numbers: [91]
91,84 unequal: No Solution
Exploring Operation: 84*7=588, Resulting Numbers: [588]
588,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 84:[4, 28], Operations: ['85-82=3', '84/3=28']
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,84 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,84 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 84:[3, 21], Operations: ['85-82=3', '84/4=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,84 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 84:[84, 1], Operations: ['85-82=3', '4-3=1']
Exploring Operation: 84+1=85, Resulting Numbers: [85]
85,84 unequal: No Solution
Exploring Operation: 84/1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[4, 82, 85, 84], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [4, 84, 3]
Generated Node #0,2: 84:[4, 84, 3] Operation: 85-82=3
Moving to Node #0,2
Current State: 84:[4, 84, 3], Operations: ['85-82=3']
Exploring Operation: 4-3=1, Resulting Numbers: [84, 1]
Generated Node #0,2,3: 84:[84, 1] Operation: 4-3=1
Moving to Node #0,2,3
Current State: 84:[84, 1], Operations: ['85-82=3', '4-3=1']
Exploring Operation: 84/1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222 | hs_5 | mult_heuristic |
[
79,
25,
66,
61
] | 84 | [
"66-61=5",
"25/5=5",
"79+5=84"
] | Current State: 84:[79, 25, 66, 61], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [79, 25, 5]
Generated Node #2: [79, 25, 5] from Operation: 66-61=5
Current State: 84:[79, 25, 5], Operations: ['66-61=5']
Exploring Operation: 25/5=5, Resulting Numbers: [79, 5]
Generated Node #3: [79, 5] from Operation: 25/5=5
Current State: 84:[79, 5], Operations: ['66-61=5', '25/5=5']
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[79, 25, 66, 61], Operations: []
Exploring Operation: 79-66=13, Resulting Numbers: [25, 61, 13]
Generated Node #0,0: 84:[25, 61, 13] Operation: 79-66=13
Exploring Operation: 25+61=86, Resulting Numbers: [79, 66, 86]
Generated Node #0,1: 84:[79, 66, 86] Operation: 25+61=86
Exploring Operation: 79-61=18, Resulting Numbers: [25, 66, 18]
Generated Node #0,2: 84:[25, 66, 18] Operation: 79-61=18
Exploring Operation: 66-25=41, Resulting Numbers: [79, 61, 41]
Generated Node #0,3: 84:[79, 61, 41] Operation: 66-25=41
Exploring Operation: 66-61=5, Resulting Numbers: [79, 25, 5]
Generated Node #0,4: 84:[79, 25, 5] Operation: 66-61=5
Moving to Node #0,4
Current State: 84:[79, 25, 5], Operations: ['66-61=5']
Exploring Operation: 25-5=20, Resulting Numbers: [79, 20]
Generated Node #0,4,0: 84:[79, 20] Operation: 25-5=20
Exploring Operation: 79-25=54, Resulting Numbers: [5, 54]
Generated Node #0,4,1: 84:[5, 54] Operation: 79-25=54
Exploring Operation: 79+5=84, Resulting Numbers: [25, 84]
Generated Node #0,4,2: 84:[25, 84] Operation: 79+5=84
Exploring Operation: 25+5=30, Resulting Numbers: [79, 30]
Generated Node #0,4,3: 84:[79, 30] Operation: 25+5=30
Exploring Operation: 25/5=5, Resulting Numbers: [79, 5]
Generated Node #0,4,4: 84:[79, 5] Operation: 25/5=5
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 84:[25, 84], Operations: ['66-61=5', '79+5=84']
Exploring Operation: 25*84=2100, Resulting Numbers: [2100]
2100,84 unequal: No Solution
Exploring Operation: 25+84=109, Resulting Numbers: [109]
109,84 unequal: No Solution
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,84 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 #0,4,0
Current State: 84:[79, 20], Operations: ['66-61=5', '25-5=20']
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,84 unequal: No Solution
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,84 unequal: No Solution
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,84 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 #0,4,4
Current State: 84:[79, 5], Operations: ['66-61=5', '25/5=5']
Exploring Operation: 79*5=395, Resulting Numbers: [395]
395,84 unequal: No Solution
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,84 unequal: No Solution
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[79, 25, 66, 61], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [79, 25, 5]
Generated Node #0,4: 84:[79, 25, 5] Operation: 66-61=5
Moving to Node #0,4
Current State: 84:[79, 25, 5], Operations: ['66-61=5']
Exploring Operation: 25/5=5, Resulting Numbers: [79, 5]
Generated Node #0,4,4: 84:[79, 5] Operation: 25/5=5
Moving to Node #0,4,4
Current State: 84:[79, 5], Operations: ['66-61=5', '25/5=5']
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
31,
30,
10,
72
] | 62 | [
"31-30=1",
"72-10=62",
"1*62=62"
] | Current State: 62:[31, 30, 10, 72], Operations: []
Exploring Operation: 31-30=1, Resulting Numbers: [10, 72, 1]
Generated Node #2: [10, 72, 1] from Operation: 31-30=1
Current State: 62:[10, 72, 1], Operations: ['31-30=1']
Exploring Operation: 72-10=62, Resulting Numbers: [1, 62]
Generated Node #3: [1, 62] from Operation: 72-10=62
Current State: 62:[1, 62], Operations: ['31-30=1', '72-10=62']
Exploring Operation: 1*62=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[31, 30, 10, 72], Operations: []
Exploring Operation: 72-10=62, Resulting Numbers: [31, 30, 62]
Generated Node #0,0: 62:[31, 30, 62] Operation: 72-10=62
Moving to Node #0,0
Current State: 62:[31, 30, 62], Operations: ['72-10=62']
Exploring Operation: 31+30=61, Resulting Numbers: [62, 61]
Generated Node #0,0,0: 62:[62, 61] Operation: 31+30=61
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[62, 61], Operations: ['72-10=62', '31+30=61']
Exploring Operation: 62-61=1, Resulting Numbers: [1]
1,62 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 |
[
74,
7,
17,
9
] | 59 | [
"74-7=67",
"17-9=8",
"67-8=59"
] | Current State: 59:[74, 7, 17, 9], Operations: []
Exploring Operation: 74-7=67, Resulting Numbers: [17, 9, 67]
Generated Node #2: [17, 9, 67] from Operation: 74-7=67
Current State: 59:[17, 9, 67], Operations: ['74-7=67']
Exploring Operation: 17-9=8, Resulting Numbers: [67, 8]
Generated Node #3: [67, 8] from Operation: 17-9=8
Current State: 59:[67, 8], Operations: ['74-7=67', '17-9=8']
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[74, 7, 17, 9], Operations: []
Exploring Operation: 74-7=67, Resulting Numbers: [17, 9, 67]
Generated Node #0,0: 59:[17, 9, 67] Operation: 74-7=67
Exploring Operation: 7+17=24, Resulting Numbers: [74, 9, 24]
Generated Node #0,1: 59:[74, 9, 24] Operation: 7+17=24
Exploring Operation: 7*9=63, Resulting Numbers: [74, 17, 63]
Generated Node #0,2: 59:[74, 17, 63] Operation: 7*9=63
Exploring Operation: 74-9=65, Resulting Numbers: [7, 17, 65]
Generated Node #0,3: 59:[7, 17, 65] Operation: 74-9=65
Moving to Node #0,2
Current State: 59:[74, 17, 63], Operations: ['7*9=63']
Exploring Operation: 63-17=46, Resulting Numbers: [74, 46]
Generated Node #0,2,0: 59:[74, 46] Operation: 63-17=46
Exploring Operation: 17+63=80, Resulting Numbers: [74, 80]
Generated Node #0,2,1: 59:[74, 80] Operation: 17+63=80
Exploring Operation: 74-17=57, Resulting Numbers: [63, 57]
Generated Node #0,2,2: 59:[63, 57] Operation: 74-17=57
Exploring Operation: 74+17=91, Resulting Numbers: [63, 91]
Generated Node #0,2,3: 59:[63, 91] Operation: 74+17=91
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[63, 57], Operations: ['7*9=63', '74-17=57']
Exploring Operation: 63+57=120, Resulting Numbers: [120]
120,59 unequal: No Solution
Exploring Operation: 63-57=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Exploring Operation: 63*57=3591, Resulting Numbers: [3591]
3591,59 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 #0,2,0
Current State: 59:[74, 46], Operations: ['7*9=63', '63-17=46']
Exploring Operation: 74-46=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Exploring Operation: 74*46=3404, Resulting Numbers: [3404]
3404,59 unequal: No Solution
Exploring Operation: 74+46=120, Resulting Numbers: [120]
120,59 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 #0,2,1
Current State: 59:[74, 80], Operations: ['7*9=63', '17+63=80']
Exploring Operation: 74*80=5920, Resulting Numbers: [5920]
5920,59 unequal: No Solution
Exploring Operation: 74+80=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 80-74=6, Resulting Numbers: [6]
6,59 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 #0,2,3
Current State: 59:[63, 91], Operations: ['7*9=63', '74+17=91']
Exploring Operation: 91-63=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Exploring Operation: 63+91=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 63*91=5733, Resulting Numbers: [5733]
5733,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 59:[74, 9, 24], Operations: ['7+17=24']
Exploring Operation: 74-9=65, Resulting Numbers: [24, 65]
Generated Node #0,1,0: 59:[24, 65] Operation: 74-9=65
Exploring Operation: 74-24=50, Resulting Numbers: [9, 50]
Generated Node #0,1,1: 59:[9, 50] Operation: 74-24=50
Exploring Operation: 9+24=33, Resulting Numbers: [74, 33]
Generated Node #0,1,2: 59:[74, 33] Operation: 9+24=33
Exploring Operation: 74+9=83, Resulting Numbers: [24, 83]
Generated Node #0,1,3: 59:[24, 83] Operation: 74+9=83
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[24, 65], Operations: ['7+17=24', '74-9=65']
Exploring Operation: 65-24=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Exploring Operation: 24+65=89, Resulting Numbers: [89]
89,59 unequal: No Solution
Exploring Operation: 24*65=1560, Resulting Numbers: [1560]
1560,59 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:[74, 33], Operations: ['7+17=24', '9+24=33']
Exploring Operation: 74+33=107, Resulting Numbers: [107]
107,59 unequal: No Solution
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Exploring Operation: 74*33=2442, Resulting Numbers: [2442]
2442,59 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 #0,1,1
Current State: 59:[9, 50], Operations: ['7+17=24', '74-24=50']
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Exploring Operation: 9*50=450, Resulting Numbers: [450]
450,59 unequal: No Solution
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[74, 7, 17, 9], Operations: []
Exploring Operation: 7+17=24, Resulting Numbers: [74, 9, 24]
Generated Node #0,1: 59:[74, 9, 24] Operation: 7+17=24
Moving to Node #0,1
Current State: 59:[74, 9, 24], Operations: ['7+17=24']
Exploring Operation: 74-24=50, Resulting Numbers: [9, 50]
Generated Node #0,1,1: 59:[9, 50] Operation: 74-24=50
Moving to Node #0,1,1
Current State: 59:[9, 50], Operations: ['7+17=24', '74-24=50']
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_4 | mult_heuristic |
[
36,
58,
2,
74
] | 94 | [
"58-36=22",
"74-2=72",
"22+72=94"
] | Current State: 94:[36, 58, 2, 74], Operations: []
Exploring Operation: 58-36=22, Resulting Numbers: [2, 74, 22]
Generated Node #2: [2, 74, 22] from Operation: 58-36=22
Current State: 94:[2, 74, 22], Operations: ['58-36=22']
Exploring Operation: 74-2=72, Resulting Numbers: [22, 72]
Generated Node #3: [22, 72] from Operation: 74-2=72
Current State: 94:[22, 72], Operations: ['58-36=22', '74-2=72']
Exploring Operation: 22+72=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[36, 58, 2, 74], Operations: []
Exploring Operation: 36+58=94, Resulting Numbers: [2, 74, 94]
Generated Node #0,0: 94:[2, 74, 94] Operation: 36+58=94
Exploring Operation: 74-36=38, Resulting Numbers: [58, 2, 38]
Generated Node #0,1: 94:[58, 2, 38] Operation: 74-36=38
Moving to Node #0,0
Current State: 94:[2, 74, 94], Operations: ['36+58=94']
Exploring Operation: 74/2=37, Resulting Numbers: [94, 37]
Generated Node #0,0,0: 94:[94, 37] Operation: 74/2=37
Exploring Operation: 2+74=76, Resulting Numbers: [94, 76]
Generated Node #0,0,1: 94:[94, 76] Operation: 2+74=76
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[94, 37], Operations: ['36+58=94', '74/2=37']
Exploring Operation: 94-37=57, Resulting Numbers: [57]
57,94 unequal: No Solution
Exploring Operation: 94+37=131, Resulting Numbers: [131]
131,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[94, 76], Operations: ['36+58=94', '2+74=76']
Exploring Operation: 94-76=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 94+76=170, Resulting Numbers: [170]
170,94 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: 94:[58, 2, 38], Operations: ['74-36=38']
Exploring Operation: 58-2=56, Resulting Numbers: [38, 56]
Generated Node #0,1,0: 94:[38, 56] Operation: 58-2=56
Exploring Operation: 58+38=96, Resulting Numbers: [2, 96]
Generated Node #0,1,1: 94:[2, 96] Operation: 58+38=96
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[2, 96], Operations: ['74-36=38', '58+38=96']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,94 unequal: No Solution
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[36, 58, 2, 74], Operations: []
Exploring Operation: 74-36=38, Resulting Numbers: [58, 2, 38]
Generated Node #0,1: 94:[58, 2, 38] Operation: 74-36=38
Moving to Node #0,1
Current State: 94:[58, 2, 38], Operations: ['74-36=38']
Exploring Operation: 58+38=96, Resulting Numbers: [2, 96]
Generated Node #0,1,1: 94:[2, 96] Operation: 58+38=96
Moving to Node #0,1,1
Current State: 94:[2, 96], Operations: ['74-36=38', '58+38=96']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
17,
99,
3,
38
] | 22 | [
"17+38=55",
"99/3=33",
"55-33=22"
] | Current State: 22:[17, 99, 3, 38], Operations: []
Exploring Operation: 17+38=55, Resulting Numbers: [99, 3, 55]
Generated Node #2: [99, 3, 55] from Operation: 17+38=55
Current State: 22:[99, 3, 55], Operations: ['17+38=55']
Exploring Operation: 99/3=33, Resulting Numbers: [55, 33]
Generated Node #3: [55, 33] from Operation: 99/3=33
Current State: 22:[55, 33], Operations: ['17+38=55', '99/3=33']
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[17, 99, 3, 38], Operations: []
Exploring Operation: 38-17=21, Resulting Numbers: [99, 3, 21]
Generated Node #0,0: 22:[99, 3, 21] Operation: 38-17=21
Exploring Operation: 99-38=61, Resulting Numbers: [17, 3, 61]
Generated Node #0,1: 22:[17, 3, 61] Operation: 99-38=61
Exploring Operation: 99-17=82, Resulting Numbers: [3, 38, 82]
Generated Node #0,2: 22:[3, 38, 82] Operation: 99-17=82
Exploring Operation: 17+3=20, Resulting Numbers: [99, 38, 20]
Generated Node #0,3: 22:[99, 38, 20] Operation: 17+3=20
Exploring Operation: 99/3=33, Resulting Numbers: [17, 38, 33]
Generated Node #0,4: 22:[17, 38, 33] Operation: 99/3=33
Start Sub Search at level 1: Moving to Node #0,4
Current State: 22:[17, 38, 33], Operations: ['99/3=33']
Exploring Operation: 38-17=21, Resulting Numbers: [33, 21]
Generated Node #0,4,0: 22:[33, 21] Operation: 38-17=21
Exploring Operation: 17+33=50, Resulting Numbers: [38, 50]
Generated Node #0,4,1: 22:[38, 50] Operation: 17+33=50
Exploring Operation: 33-17=16, Resulting Numbers: [38, 16]
Generated Node #0,4,2: 22:[38, 16] Operation: 33-17=16
Exploring Operation: 38-33=5, Resulting Numbers: [17, 5]
Generated Node #0,4,3: 22:[17, 5] Operation: 38-33=5
Exploring Operation: 17+38=55, Resulting Numbers: [33, 55]
Generated Node #0,4,4: 22:[33, 55] Operation: 17+38=55
Moving to Node #0,4,3
Current State: 22:[17, 5], Operations: ['99/3=33', '38-33=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,22 unequal: No Solution
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[17, 99, 3, 38], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [17, 38, 33]
Generated Node #0,4: 22:[17, 38, 33] Operation: 99/3=33
Moving to Node #0,4
Current State: 22:[17, 38, 33], Operations: ['99/3=33']
Exploring Operation: 38-33=5, Resulting Numbers: [17, 5]
Generated Node #0,4,3: 22:[17, 5] Operation: 38-33=5
Moving to Node #0,4,3
Current State: 22:[17, 5], Operations: ['99/3=33', '38-33=5']
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
79,
2,
27,
82
] | 49 | [
"79*2=158",
"27+82=109",
"158-109=49"
] | Current State: 49:[79, 2, 27, 82], Operations: []
Exploring Operation: 79*2=158, Resulting Numbers: [27, 82, 158]
Generated Node #2: [27, 82, 158] from Operation: 79*2=158
Current State: 49:[27, 82, 158], Operations: ['79*2=158']
Exploring Operation: 27+82=109, Resulting Numbers: [158, 109]
Generated Node #3: [158, 109] from Operation: 27+82=109
Current State: 49:[158, 109], Operations: ['79*2=158', '27+82=109']
Exploring Operation: 158-109=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[79, 2, 27, 82], Operations: []
Exploring Operation: 82-27=55, Resulting Numbers: [79, 2, 55]
Generated Node #0,0: 49:[79, 2, 55] Operation: 82-27=55
Exploring Operation: 82-79=3, Resulting Numbers: [2, 27, 3]
Generated Node #0,1: 49:[2, 27, 3] Operation: 82-79=3
Exploring Operation: 79-27=52, Resulting Numbers: [2, 82, 52]
Generated Node #0,2: 49:[2, 82, 52] Operation: 79-27=52
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[2, 27, 3], Operations: ['82-79=3']
Exploring Operation: 2*27=54, Resulting Numbers: [3, 54]
Generated Node #0,1,0: 49:[3, 54] Operation: 2*27=54
Exploring Operation: 2*3=6, Resulting Numbers: [27, 6]
Generated Node #0,1,1: 49:[27, 6] Operation: 2*3=6
Exploring Operation: 27/3=9, Resulting Numbers: [2, 9]
Generated Node #0,1,2: 49:[2, 9] Operation: 27/3=9
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 49:[2, 9], Operations: ['82-79=3', '27/3=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,49 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[3, 54], Operations: ['82-79=3', '2*27=54']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,49 unequal: No Solution
Exploring Operation: 3+54=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[27, 6], Operations: ['82-79=3', '2*3=6']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,49 unequal: No Solution
Exploring Operation: 27*6=162, Resulting Numbers: [162]
162,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[79, 2, 55], Operations: ['82-27=55']
Exploring Operation: 79-2=77, Resulting Numbers: [55, 77]
Generated Node #0,0,0: 49:[55, 77] Operation: 79-2=77
Exploring Operation: 79-55=24, Resulting Numbers: [2, 24]
Generated Node #0,0,1: 49:[2, 24] Operation: 79-55=24
Exploring Operation: 55-2=53, Resulting Numbers: [79, 53]
Generated Node #0,0,2: 49:[79, 53] Operation: 55-2=53
Moving to Node #0,0,1
Current State: 49:[2, 24], Operations: ['82-27=55', '79-55=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[55, 77], Operations: ['82-27=55', '79-2=77']
Exploring Operation: 55+77=132, Resulting Numbers: [132]
132,49 unequal: No Solution
Exploring Operation: 55*77=4235, Resulting Numbers: [4235]
4235,49 unequal: No Solution
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[79, 53], Operations: ['82-27=55', '55-2=53']
Exploring Operation: 79-53=26, Resulting Numbers: [26]
26,49 unequal: No Solution
Exploring Operation: 79+53=132, Resulting Numbers: [132]
132,49 unequal: No Solution
Exploring Operation: 79*53=4187, Resulting Numbers: [4187]
4187,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[2, 82, 52], Operations: ['79-27=52']
Exploring Operation: 82-52=30, Resulting Numbers: [2, 30]
Generated Node #0,2,0: 49:[2, 30] Operation: 82-52=30
Exploring Operation: 82-2=80, Resulting Numbers: [52, 80]
Generated Node #0,2,1: 49:[52, 80] Operation: 82-2=80
Exploring Operation: 82/2=41, Resulting Numbers: [52, 41]
Generated Node #0,2,2: 49:[52, 41] Operation: 82/2=41
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[52, 41], Operations: ['79-27=52', '82/2=41']
Exploring Operation: 52*41=2132, Resulting Numbers: [2132]
2132,49 unequal: No Solution
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 52+41=93, Resulting Numbers: [93]
93,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 49:[2, 30], Operations: ['79-27=52', '82-52=30']
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,49 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 49:[52, 80], Operations: ['79-27=52', '82-2=80']
Exploring Operation: 52*80=4160, Resulting Numbers: [4160]
4160,49 unequal: No Solution
Exploring Operation: 52+80=132, Resulting Numbers: [132]
132,49 unequal: No Solution
Exploring Operation: 80-52=28, Resulting Numbers: [28]
28,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
84,
99,
84,
59
] | 40 | [
"84+99=183",
"84+59=143",
"183-143=40"
] | Current State: 40:[84, 99, 84, 59], Operations: []
Exploring Operation: 84+99=183, Resulting Numbers: [59, 183]
Generated Node #2: [59, 183] from Operation: 84+99=183
Current State: 40:[59, 183], Operations: ['84+99=183']
Exploring Operation: 84+59=143, Resulting Numbers: [183, 143]
Generated Node #3: [183, 143] from Operation: 84+59=143
Current State: 40:[183, 143], Operations: ['84+99=183', '84+59=143']
Exploring Operation: 183-143=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[84, 99, 84, 59], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [84, 59, 15]
Generated Node #0,0: 40:[84, 59, 15] Operation: 99-84=15
Exploring Operation: 84/84=1, Resulting Numbers: [99, 59, 1]
Generated Node #0,1: 40:[99, 59, 1] Operation: 84/84=1
Exploring Operation: 99-84=15, Resulting Numbers: [84, 59, 15]
Generated Node #0,2: 40:[84, 59, 15] Operation: 99-84=15
Moving to Node #0,0
Current State: 40:[84, 59, 15], Operations: ['99-84=15']
Exploring Operation: 84-15=69, Resulting Numbers: [59, 69]
Generated Node #0,0,0: 40:[59, 69] Operation: 84-15=69
Exploring Operation: 59-15=44, Resulting Numbers: [84, 44]
Generated Node #0,0,1: 40:[84, 44] Operation: 59-15=44
Exploring Operation: 84-59=25, Resulting Numbers: [15, 25]
Generated Node #0,0,2: 40:[15, 25] Operation: 84-59=25
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 40:[15, 25], Operations: ['99-84=15', '84-59=25']
Exploring Operation: 15+25=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[84, 99, 84, 59], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [84, 59, 15]
Generated Node #0,0: 40:[84, 59, 15] Operation: 99-84=15
Moving to Node #0,0
Current State: 40:[84, 59, 15], Operations: ['99-84=15']
Exploring Operation: 84-59=25, Resulting Numbers: [15, 25]
Generated Node #0,0,2: 40:[15, 25] Operation: 84-59=25
Moving to Node #0,0,2
Current State: 40:[15, 25], Operations: ['99-84=15', '84-59=25']
Exploring Operation: 15+25=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
39,
34,
3,
30
] | 40 | [
"39+34=73",
"3+30=33",
"73-33=40"
] | Current State: 40:[39, 34, 3, 30], Operations: []
Exploring Operation: 39+34=73, Resulting Numbers: [3, 30, 73]
Generated Node #2: [3, 30, 73] from Operation: 39+34=73
Current State: 40:[3, 30, 73], Operations: ['39+34=73']
Exploring Operation: 3+30=33, Resulting Numbers: [73, 33]
Generated Node #3: [73, 33] from Operation: 3+30=33
Current State: 40:[73, 33], Operations: ['39+34=73', '3+30=33']
Exploring Operation: 73-33=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[39, 34, 3, 30], Operations: []
Exploring Operation: 30/3=10, Resulting Numbers: [39, 34, 10]
Generated Node #0,0: 40:[39, 34, 10] Operation: 30/3=10
Exploring Operation: 34-30=4, Resulting Numbers: [39, 3, 4]
Generated Node #0,1: 40:[39, 3, 4] Operation: 34-30=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[39, 3, 4], Operations: ['34-30=4']
Exploring Operation: 3+4=7, Resulting Numbers: [39, 7]
Generated Node #0,1,0: 40:[39, 7] Operation: 3+4=7
Exploring Operation: 39+3=42, Resulting Numbers: [4, 42]
Generated Node #0,1,1: 40:[4, 42] Operation: 39+3=42
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 40:[39, 7], Operations: ['34-30=4', '3+4=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,40 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 40:[4, 42], Operations: ['34-30=4', '39+3=42']
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,40 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[39, 34, 10], Operations: ['30/3=10']
Exploring Operation: 39-34=5, Resulting Numbers: [10, 5]
Generated Node #0,0,0: 40:[10, 5] Operation: 39-34=5
Exploring Operation: 34+10=44, Resulting Numbers: [39, 44]
Generated Node #0,0,1: 40:[39, 44] Operation: 34+10=44
Moving to Node #0,0,0
Current State: 40:[10, 5], Operations: ['30/3=10', '39-34=5']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[39, 44], Operations: ['30/3=10', '34+10=44']
Exploring Operation: 39+44=83, Resulting Numbers: [83]
83,40 unequal: No Solution
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
10,
81,
49,
65
] | 12 | [
"81+49=130",
"130/65=2",
"10+2=12"
] | Current State: 12:[10, 81, 49, 65], Operations: []
Exploring Operation: 81+49=130, Resulting Numbers: [10, 65, 130]
Generated Node #2: [10, 65, 130] from Operation: 81+49=130
Current State: 12:[10, 65, 130], Operations: ['81+49=130']
Exploring Operation: 130/65=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 130/65=2
Current State: 12:[10, 2], Operations: ['81+49=130', '130/65=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[10, 81, 49, 65], Operations: []
Exploring Operation: 81-65=16, Resulting Numbers: [10, 49, 16]
Generated Node #0,0: 12:[10, 49, 16] Operation: 81-65=16
Moving to Node #0,0
Current State: 12:[10, 49, 16], Operations: ['81-65=16']
Exploring Operation: 49-16=33, Resulting Numbers: [10, 33]
Generated Node #0,0,0: 12:[10, 33] Operation: 49-16=33
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[10, 33], Operations: ['81-65=16', '49-16=33']
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,12 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 |
[
68,
77,
75,
5
] | 46 | [
"68+77=145",
"145/5=29",
"75-29=46"
] | Current State: 46:[68, 77, 75, 5], Operations: []
Exploring Operation: 68+77=145, Resulting Numbers: [75, 5, 145]
Generated Node #2: [75, 5, 145] from Operation: 68+77=145
Current State: 46:[75, 5, 145], Operations: ['68+77=145']
Exploring Operation: 145/5=29, Resulting Numbers: [75, 29]
Generated Node #3: [75, 29] from Operation: 145/5=29
Current State: 46:[75, 29], Operations: ['68+77=145', '145/5=29']
Exploring Operation: 75-29=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[68, 77, 75, 5], Operations: []
Exploring Operation: 77-68=9, Resulting Numbers: [75, 5, 9]
Generated Node #0,0: 46:[75, 5, 9] Operation: 77-68=9
Exploring Operation: 75-68=7, Resulting Numbers: [77, 5, 7]
Generated Node #0,1: 46:[77, 5, 7] Operation: 75-68=7
Exploring Operation: 75/5=15, Resulting Numbers: [68, 77, 15]
Generated Node #0,2: 46:[68, 77, 15] Operation: 75/5=15
Exploring Operation: 77-75=2, Resulting Numbers: [68, 5, 2]
Generated Node #0,3: 46:[68, 5, 2] Operation: 77-75=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[68, 5, 2], Operations: ['77-75=2']
Exploring Operation: 68/2=34, Resulting Numbers: [5, 34]
Generated Node #0,3,0: 46:[5, 34] Operation: 68/2=34
Exploring Operation: 68-5=63, Resulting Numbers: [2, 63]
Generated Node #0,3,1: 46:[2, 63] Operation: 68-5=63
Exploring Operation: 68-2=66, Resulting Numbers: [5, 66]
Generated Node #0,3,2: 46:[5, 66] Operation: 68-2=66
Exploring Operation: 5-2=3, Resulting Numbers: [68, 3]
Generated Node #0,3,3: 46:[68, 3] Operation: 5-2=3
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 46:[5, 34], Operations: ['77-75=2', '68/2=34']
Exploring Operation: 5*34=170, Resulting Numbers: [170]
170,46 unequal: No Solution
Exploring Operation: 5+34=39, Resulting Numbers: [39]
39,46 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,46 unequal: No Solution
No 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: 46:[2, 63], Operations: ['77-75=2', '68-5=63']
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Exploring Operation: 2*63=126, Resulting Numbers: [126]
126,46 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,46 unequal: No Solution
No 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: 46:[5, 66], Operations: ['77-75=2', '68-2=66']
Exploring Operation: 5*66=330, Resulting Numbers: [330]
330,46 unequal: No Solution
Exploring Operation: 5+66=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,46 unequal: No Solution
No 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: 46:[68, 3], Operations: ['77-75=2', '5-2=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 68*3=204, Resulting Numbers: [204]
204,46 unequal: No Solution
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,46 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: 46:[75, 5, 9], Operations: ['77-68=9']
Exploring Operation: 5*9=45, Resulting Numbers: [75, 45]
Generated Node #0,0,0: 46:[75, 45] Operation: 5*9=45
Exploring Operation: 75/5=15, Resulting Numbers: [9, 15]
Generated Node #0,0,1: 46:[9, 15] Operation: 75/5=15
Exploring Operation: 75-5=70, Resulting Numbers: [9, 70]
Generated Node #0,0,2: 46:[9, 70] Operation: 75-5=70
Exploring Operation: 75-9=66, Resulting Numbers: [5, 66]
Generated Node #0,0,3: 46:[5, 66] Operation: 75-9=66
Moving to Node #0,0,1
Current State: 46:[9, 15], Operations: ['77-68=9', '75/5=15']
Exploring Operation: 9*15=135, Resulting Numbers: [135]
135,46 unequal: No Solution
Exploring Operation: 9+15=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[5, 66], Operations: ['77-68=9', '75-9=66']
Exploring Operation: 5*66=330, Resulting Numbers: [330]
330,46 unequal: No Solution
Exploring Operation: 5+66=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[75, 45], Operations: ['77-68=9', '5*9=45']
Exploring Operation: 75+45=120, Resulting Numbers: [120]
120,46 unequal: No Solution
Exploring Operation: 75*45=3375, Resulting Numbers: [3375]
3375,46 unequal: No Solution
Exploring Operation: 75-45=30, Resulting Numbers: [30]
30,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[9, 70], Operations: ['77-68=9', '75-5=70']
Exploring Operation: 9+70=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,46 unequal: No Solution
Exploring Operation: 9*70=630, Resulting Numbers: [630]
630,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[77, 5, 7], Operations: ['75-68=7']
Exploring Operation: 77-7=70, Resulting Numbers: [5, 70]
Generated Node #0,1,0: 46:[5, 70] Operation: 77-7=70
Exploring Operation: 7-5=2, Resulting Numbers: [77, 2]
Generated Node #0,1,1: 46:[77, 2] Operation: 7-5=2
Exploring Operation: 77/7=11, Resulting Numbers: [5, 11]
Generated Node #0,1,2: 46:[5, 11] Operation: 77/7=11
Exploring Operation: 77-5=72, Resulting Numbers: [7, 72]
Generated Node #0,1,3: 46:[7, 72] Operation: 77-5=72
Moving to Node #0,1,2
Current State: 46:[5, 11], Operations: ['75-68=7', '77/7=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,46 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[5, 70], Operations: ['75-68=7', '77-7=70']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,46 unequal: No Solution
Exploring Operation: 5+70=75, Resulting Numbers: [75]
75,46 unequal: No Solution
Exploring Operation: 5*70=350, Resulting Numbers: [350]
350,46 unequal: No Solution
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Moving to Node #0,1,3
Current State: 46:[7, 72], Operations: ['75-68=7', '77-5=72']
Exploring Operation: 7+72=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 7*72=504, Resulting Numbers: [504]
504,46 unequal: No Solution
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[77, 2], Operations: ['75-68=7', '7-5=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,46 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[68, 77, 15], Operations: ['75/5=15']
Exploring Operation: 77-15=62, Resulting Numbers: [68, 62]
Generated Node #0,2,0: 46:[68, 62] Operation: 77-15=62
Exploring Operation: 77-68=9, Resulting Numbers: [15, 9]
Generated Node #0,2,1: 46:[15, 9] Operation: 77-68=9
Exploring Operation: 68-15=53, Resulting Numbers: [77, 53]
Generated Node #0,2,2: 46:[77, 53] Operation: 68-15=53
Exploring Operation: 68+15=83, Resulting Numbers: [77, 83]
Generated Node #0,2,3: 46:[77, 83] Operation: 68+15=83
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 46:[15, 9], Operations: ['75/5=15', '77-68=9']
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,46 unequal: No Solution
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,46 unequal: No Solution
No 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: 46:[68, 62], Operations: ['75/5=15', '77-15=62']
Exploring Operation: 68*62=4216, Resulting Numbers: [4216]
4216,46 unequal: No Solution
Exploring Operation: 68-62=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Exploring Operation: 68+62=130, Resulting Numbers: [130]
130,46 unequal: No Solution
No 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: 46:[77, 53], Operations: ['75/5=15', '68-15=53']
Exploring Operation: 77*53=4081, Resulting Numbers: [4081]
4081,46 unequal: No Solution
Exploring Operation: 77+53=130, Resulting Numbers: [130]
130,46 unequal: No Solution
Exploring Operation: 77-53=24, Resulting Numbers: [24]
24,46 unequal: No Solution
No 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: 46:[77, 83], Operations: ['75/5=15', '68+15=83']
Exploring Operation: 83-77=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Exploring Operation: 77+83=160, Resulting Numbers: [160]
160,46 unequal: No Solution
Exploring Operation: 77*83=6391, Resulting Numbers: [6391]
6391,46 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 |
[
46,
16,
23,
22
] | 61 | [
"46+16=62",
"23-22=1",
"62-1=61"
] | Current State: 61:[46, 16, 23, 22], Operations: []
Exploring Operation: 46+16=62, Resulting Numbers: [23, 22, 62]
Generated Node #2: [23, 22, 62] from Operation: 46+16=62
Current State: 61:[23, 22, 62], Operations: ['46+16=62']
Exploring Operation: 23-22=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 23-22=1
Current State: 61:[62, 1], Operations: ['46+16=62', '23-22=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[46, 16, 23, 22], Operations: []
Exploring Operation: 16+23=39, Resulting Numbers: [46, 22, 39]
Generated Node #0,0: 61:[46, 22, 39] Operation: 16+23=39
Exploring Operation: 46+22=68, Resulting Numbers: [16, 23, 68]
Generated Node #0,1: 61:[16, 23, 68] Operation: 46+22=68
Exploring Operation: 16+22=38, Resulting Numbers: [46, 23, 38]
Generated Node #0,2: 61:[46, 23, 38] Operation: 16+22=38
Exploring Operation: 46+16=62, Resulting Numbers: [23, 22, 62]
Generated Node #0,3: 61:[23, 22, 62] Operation: 46+16=62
Exploring Operation: 23+22=45, Resulting Numbers: [46, 16, 45]
Generated Node #0,4: 61:[46, 16, 45] Operation: 23+22=45
Moving to Node #0,0
Current State: 61:[46, 22, 39], Operations: ['16+23=39']
Exploring Operation: 39-22=17, Resulting Numbers: [46, 17]
Generated Node #0,0,0: 61:[46, 17] Operation: 39-22=17
Exploring Operation: 46-22=24, Resulting Numbers: [39, 24]
Generated Node #0,0,1: 61:[39, 24] Operation: 46-22=24
Exploring Operation: 46+22=68, Resulting Numbers: [39, 68]
Generated Node #0,0,2: 61:[39, 68] Operation: 46+22=68
Exploring Operation: 46+39=85, Resulting Numbers: [22, 85]
Generated Node #0,0,3: 61:[22, 85] Operation: 46+39=85
Exploring Operation: 22+39=61, Resulting Numbers: [46, 61]
Generated Node #0,0,4: 61:[46, 61] Operation: 22+39=61
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 61:[46, 61], Operations: ['16+23=39', '22+39=61']
Exploring Operation: 46*61=2806, Resulting Numbers: [2806]
2806,61 unequal: No Solution
Exploring Operation: 46+61=107, Resulting Numbers: [107]
107,61 unequal: No Solution
Exploring Operation: 61-46=15, Resulting Numbers: [15]
15,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[39, 68], Operations: ['16+23=39', '46+22=68']
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,61 unequal: No Solution
Exploring Operation: 39*68=2652, Resulting Numbers: [2652]
2652,61 unequal: No Solution
Exploring Operation: 39+68=107, Resulting Numbers: [107]
107,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[46, 17], Operations: ['16+23=39', '39-22=17']
Exploring Operation: 46*17=782, Resulting Numbers: [782]
782,61 unequal: No Solution
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,61 unequal: No Solution
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[39, 24], Operations: ['16+23=39', '46-22=24']
Exploring Operation: 39*24=936, Resulting Numbers: [936]
936,61 unequal: No Solution
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 61:[22, 85], Operations: ['16+23=39', '46+39=85']
Exploring Operation: 22+85=107, Resulting Numbers: [107]
107,61 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,61 unequal: No Solution
Exploring Operation: 22*85=1870, Resulting Numbers: [1870]
1870,61 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: 61:[46, 16, 45], Operations: ['23+22=45']
Exploring Operation: 16+45=61, Resulting Numbers: [46, 61]
Generated Node #0,4,0: 61:[46, 61] Operation: 16+45=61
Exploring Operation: 46+45=91, Resulting Numbers: [16, 91]
Generated Node #0,4,1: 61:[16, 91] Operation: 46+45=91
Exploring Operation: 46+16=62, Resulting Numbers: [45, 62]
Generated Node #0,4,2: 61:[45, 62] Operation: 46+16=62
Exploring Operation: 45-16=29, Resulting Numbers: [46, 29]
Generated Node #0,4,3: 61:[46, 29] Operation: 45-16=29
Exploring Operation: 46-16=30, Resulting Numbers: [45, 30]
Generated Node #0,4,4: 61:[45, 30] Operation: 46-16=30
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 61:[46, 61], Operations: ['23+22=45', '16+45=61']
Exploring Operation: 46+61=107, Resulting Numbers: [107]
107,61 unequal: No Solution
Exploring Operation: 46*61=2806, Resulting Numbers: [2806]
2806,61 unequal: No Solution
Exploring Operation: 61-46=15, Resulting Numbers: [15]
15,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 61:[45, 62], Operations: ['23+22=45', '46+16=62']
Exploring Operation: 45+62=107, Resulting Numbers: [107]
107,61 unequal: No Solution
Exploring Operation: 45*62=2790, Resulting Numbers: [2790]
2790,61 unequal: No Solution
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 61:[46, 29], Operations: ['23+22=45', '45-16=29']
Exploring Operation: 46+29=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,61 unequal: No Solution
Exploring Operation: 46*29=1334, Resulting Numbers: [1334]
1334,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 61:[45, 30], Operations: ['23+22=45', '46-16=30']
Exploring Operation: 45+30=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 45*30=1350, Resulting Numbers: [1350]
1350,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 61:[16, 91], Operations: ['23+22=45', '46+45=91']
Exploring Operation: 16*91=1456, Resulting Numbers: [1456]
1456,61 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Exploring Operation: 16+91=107, Resulting Numbers: [107]
107,61 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: 61:[46, 23, 38], Operations: ['16+22=38']
Exploring Operation: 46+38=84, Resulting Numbers: [23, 84]
Generated Node #0,2,0: 61:[23, 84] Operation: 46+38=84
Exploring Operation: 46+23=69, Resulting Numbers: [38, 69]
Generated Node #0,2,1: 61:[38, 69] Operation: 46+23=69
Exploring Operation: 46-23=23, Resulting Numbers: [38, 23]
Generated Node #0,2,2: 61:[38, 23] Operation: 46-23=23
Exploring Operation: 23+38=61, Resulting Numbers: [46, 61]
Generated Node #0,2,3: 61:[46, 61] Operation: 23+38=61
Exploring Operation: 38-23=15, Resulting Numbers: [46, 15]
Generated Node #0,2,4: 61:[46, 15] Operation: 38-23=15
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 61:[46, 61], Operations: ['16+22=38', '23+38=61']
Exploring Operation: 46*61=2806, Resulting Numbers: [2806]
2806,61 unequal: No Solution
Exploring Operation: 61-46=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 46+61=107, Resulting Numbers: [107]
107,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[38, 69], Operations: ['16+22=38', '46+23=69']
Exploring Operation: 69-38=31, Resulting Numbers: [31]
31,61 unequal: No Solution
Exploring Operation: 38*69=2622, Resulting Numbers: [2622]
2622,61 unequal: No Solution
Exploring Operation: 38+69=107, Resulting Numbers: [107]
107,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[23, 84], Operations: ['16+22=38', '46+38=84']
Exploring Operation: 23*84=1932, Resulting Numbers: [1932]
1932,61 unequal: No Solution
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[46, 16, 23, 22], Operations: []
Exploring Operation: 16+22=38, Resulting Numbers: [46, 23, 38]
Generated Node #0,2: 61:[46, 23, 38] Operation: 16+22=38
Moving to Node #0,2
Current State: 61:[46, 23, 38], Operations: ['16+22=38']
Exploring Operation: 46+38=84, Resulting Numbers: [23, 84]
Generated Node #0,2,0: 61:[23, 84] Operation: 46+38=84
Moving to Node #0,2,0
Current State: 61:[23, 84], Operations: ['16+22=38', '46+38=84']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.946181 | hs_5 | mult_heuristic |
[
61,
37,
90,
45
] | 100 | [
"61+37=98",
"90/45=2",
"98+2=100"
] | Current State: 100:[61, 37, 90, 45], Operations: []
Exploring Operation: 61+37=98, Resulting Numbers: [90, 45, 98]
Generated Node #2: [90, 45, 98] from Operation: 61+37=98
Current State: 100:[90, 45, 98], Operations: ['61+37=98']
Exploring Operation: 90/45=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 90/45=2
Current State: 100:[98, 2], Operations: ['61+37=98', '90/45=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[61, 37, 90, 45], Operations: []
Exploring Operation: 61-37=24, Resulting Numbers: [90, 45, 24]
Generated Node #0,0: 100:[90, 45, 24] Operation: 61-37=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[90, 45, 24], Operations: ['61-37=24']
Exploring Operation: 90/45=2, Resulting Numbers: [24, 2]
Generated Node #0,0,0: 100:[24, 2] Operation: 90/45=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[24, 2], Operations: ['61-37=24', '90/45=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
99,
79,
31,
5
] | 56 | [
"99-79=20",
"31+5=36",
"20+36=56"
] | Current State: 56:[99, 79, 31, 5], Operations: []
Exploring Operation: 99-79=20, Resulting Numbers: [31, 5, 20]
Generated Node #2: [31, 5, 20] from Operation: 99-79=20
Current State: 56:[31, 5, 20], Operations: ['99-79=20']
Exploring Operation: 31+5=36, Resulting Numbers: [20, 36]
Generated Node #3: [20, 36] from Operation: 31+5=36
Current State: 56:[20, 36], Operations: ['99-79=20', '31+5=36']
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[99, 79, 31, 5], Operations: []
Exploring Operation: 99-79=20, Resulting Numbers: [31, 5, 20]
Generated Node #0,0: 56:[31, 5, 20] Operation: 99-79=20
Exploring Operation: 99-31=68, Resulting Numbers: [79, 5, 68]
Generated Node #0,1: 56:[79, 5, 68] Operation: 99-31=68
Exploring Operation: 79-31=48, Resulting Numbers: [99, 5, 48]
Generated Node #0,2: 56:[99, 5, 48] Operation: 79-31=48
Exploring Operation: 99-5=94, Resulting Numbers: [79, 31, 94]
Generated Node #0,3: 56:[79, 31, 94] Operation: 99-5=94
Moving to Node #0,0
Current State: 56:[31, 5, 20], Operations: ['99-79=20']
Exploring Operation: 31+20=51, Resulting Numbers: [5, 51]
Generated Node #0,0,0: 56:[5, 51] Operation: 31+20=51
Exploring Operation: 20/5=4, Resulting Numbers: [31, 4]
Generated Node #0,0,1: 56:[31, 4] Operation: 20/5=4
Exploring Operation: 20-5=15, Resulting Numbers: [31, 15]
Generated Node #0,0,2: 56:[31, 15] Operation: 20-5=15
Exploring Operation: 31-20=11, Resulting Numbers: [5, 11]
Generated Node #0,0,3: 56:[5, 11] Operation: 31-20=11
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[31, 4], Operations: ['99-79=20', '20/5=4']
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[31, 15], Operations: ['99-79=20', '20-5=15']
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,56 unequal: No Solution
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 31*15=465, Resulting Numbers: [465]
465,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 56:[5, 11], Operations: ['99-79=20', '31-20=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,56 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[5, 51], Operations: ['99-79=20', '31+20=51']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,56 unequal: No Solution
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[99, 79, 31, 5], Operations: []
Exploring Operation: 99-79=20, Resulting Numbers: [31, 5, 20]
Generated Node #0,0: 56:[31, 5, 20] Operation: 99-79=20
Moving to Node #0,0
Current State: 56:[31, 5, 20], Operations: ['99-79=20']
Exploring Operation: 31+20=51, Resulting Numbers: [5, 51]
Generated Node #0,0,0: 56:[5, 51] Operation: 31+20=51
Moving to Node #0,0,0
Current State: 56:[5, 51], Operations: ['99-79=20', '31+20=51']
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_4 | mult_heuristic |
[
83,
95,
95,
56
] | 28 | [
"83-56=27",
"95/95=1",
"27+1=28"
] | Current State: 28:[83, 95, 95, 56], Operations: []
Exploring Operation: 83-56=27, Resulting Numbers: [95, 95, 27]
Generated Node #2: [95, 95, 27] from Operation: 83-56=27
Current State: 28:[95, 95, 27], Operations: ['83-56=27']
Exploring Operation: 95/95=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 95/95=1
Current State: 28:[27, 1], Operations: ['83-56=27', '95/95=1']
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[83, 95, 95, 56], Operations: []
Exploring Operation: 95/95=1, Resulting Numbers: [83, 56, 1]
Generated Node #0,0: 28:[83, 56, 1] Operation: 95/95=1
Moving to Node #0,0
Current State: 28:[83, 56, 1], Operations: ['95/95=1']
Exploring Operation: 83-56=27, Resulting Numbers: [1, 27]
Generated Node #0,0,0: 28:[1, 27] Operation: 83-56=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[1, 27], Operations: ['95/95=1', '83-56=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[83, 95, 95, 56], Operations: []
Exploring Operation: 95/95=1, Resulting Numbers: [83, 56, 1]
Generated Node #0,0: 28:[83, 56, 1] Operation: 95/95=1
Moving to Node #0,0
Current State: 28:[83, 56, 1], Operations: ['95/95=1']
Exploring Operation: 83-56=27, Resulting Numbers: [1, 27]
Generated Node #0,0,0: 28:[1, 27] Operation: 83-56=27
Moving to Node #0,0,0
Current State: 28:[1, 27], Operations: ['95/95=1', '83-56=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
93,
3,
91,
25
] | 35 | [
"93/3=31",
"91-25=66",
"66-31=35"
] | Current State: 35:[93, 3, 91, 25], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [91, 25, 31]
Generated Node #2: [91, 25, 31] from Operation: 93/3=31
Current State: 35:[91, 25, 31], Operations: ['93/3=31']
Exploring Operation: 91-25=66, Resulting Numbers: [31, 66]
Generated Node #3: [31, 66] from Operation: 91-25=66
Current State: 35:[31, 66], Operations: ['93/3=31', '91-25=66']
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[93, 3, 91, 25], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [91, 25, 31]
Generated Node #0,0: 35:[91, 25, 31] Operation: 93/3=31
Exploring Operation: 91-25=66, Resulting Numbers: [93, 3, 66]
Generated Node #0,1: 35:[93, 3, 66] Operation: 91-25=66
Exploring Operation: 93-25=68, Resulting Numbers: [3, 91, 68]
Generated Node #0,2: 35:[3, 91, 68] Operation: 93-25=68
Exploring Operation: 93-91=2, Resulting Numbers: [3, 25, 2]
Generated Node #0,3: 35:[3, 25, 2] Operation: 93-91=2
Moving to Node #0,3
Current State: 35:[3, 25, 2], Operations: ['93-91=2']
Exploring Operation: 3+25=28, Resulting Numbers: [2, 28]
Generated Node #0,3,0: 35:[2, 28] Operation: 3+25=28
Exploring Operation: 25+2=27, Resulting Numbers: [3, 27]
Generated Node #0,3,1: 35:[3, 27] Operation: 25+2=27
Exploring Operation: 3+2=5, Resulting Numbers: [25, 5]
Generated Node #0,3,2: 35:[25, 5] Operation: 3+2=5
Exploring Operation: 3*2=6, Resulting Numbers: [25, 6]
Generated Node #0,3,3: 35:[25, 6] Operation: 3*2=6
Moving to Node #0,0
Current State: 35:[91, 25, 31], Operations: ['93/3=31']
Exploring Operation: 91-31=60, Resulting Numbers: [25, 60]
Generated Node #0,0,0: 35:[25, 60] Operation: 91-31=60
Exploring Operation: 91-25=66, Resulting Numbers: [31, 66]
Generated Node #0,0,1: 35:[31, 66] Operation: 91-25=66
Exploring Operation: 31-25=6, Resulting Numbers: [91, 6]
Generated Node #0,0,2: 35:[91, 6] Operation: 31-25=6
Exploring Operation: 25+31=56, Resulting Numbers: [91, 56]
Generated Node #0,0,3: 35:[91, 56] Operation: 25+31=56
Moving to Node #0,2
Current State: 35:[3, 91, 68], Operations: ['93-25=68']
Exploring Operation: 91-3=88, Resulting Numbers: [68, 88]
Generated Node #0,2,0: 35:[68, 88] Operation: 91-3=88
Exploring Operation: 68-3=65, Resulting Numbers: [91, 65]
Generated Node #0,2,1: 35:[91, 65] Operation: 68-3=65
Exploring Operation: 91-68=23, Resulting Numbers: [3, 23]
Generated Node #0,2,2: 35:[3, 23] Operation: 91-68=23
Exploring Operation: 3+91=94, Resulting Numbers: [68, 94]
Generated Node #0,2,3: 35:[68, 94] Operation: 3+91=94
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 35:[3, 23], Operations: ['93-25=68', '91-68=23']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,35 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,35 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 #0,2,0
Current State: 35:[68, 88], Operations: ['93-25=68', '91-3=88']
Exploring Operation: 88-68=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 68+88=156, Resulting Numbers: [156]
156,35 unequal: No Solution
Exploring Operation: 68*88=5984, Resulting Numbers: [5984]
5984,35 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 #0,2,1
Current State: 35:[91, 65], Operations: ['93-25=68', '68-3=65']
Exploring Operation: 91*65=5915, Resulting Numbers: [5915]
5915,35 unequal: No Solution
Exploring Operation: 91+65=156, Resulting Numbers: [156]
156,35 unequal: No Solution
Exploring Operation: 91-65=26, Resulting Numbers: [26]
26,35 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 #0,2,3
Current State: 35:[68, 94], Operations: ['93-25=68', '3+91=94']
Exploring Operation: 68+94=162, Resulting Numbers: [162]
162,35 unequal: No Solution
Exploring Operation: 68*94=6392, Resulting Numbers: [6392]
6392,35 unequal: No Solution
Exploring Operation: 94-68=26, Resulting Numbers: [26]
26,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 35:[93, 3, 66], Operations: ['91-25=66']
Exploring Operation: 93/3=31, Resulting Numbers: [66, 31]
Generated Node #0,1,0: 35:[66, 31] Operation: 93/3=31
Exploring Operation: 66/3=22, Resulting Numbers: [93, 22]
Generated Node #0,1,1: 35:[93, 22] Operation: 66/3=22
Exploring Operation: 93-66=27, Resulting Numbers: [3, 27]
Generated Node #0,1,2: 35:[3, 27] Operation: 93-66=27
Exploring Operation: 93-3=90, Resulting Numbers: [66, 90]
Generated Node #0,1,3: 35:[66, 90] Operation: 93-3=90
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 35:[3, 27], Operations: ['91-25=66', '93-66=27']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,35 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 #0,1,0
Current State: 35:[66, 31], Operations: ['91-25=66', '93/3=31']
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[93, 3, 91, 25], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [93, 3, 66]
Generated Node #0,1: 35:[93, 3, 66] Operation: 91-25=66
Moving to Node #0,1
Current State: 35:[93, 3, 66], Operations: ['91-25=66']
Exploring Operation: 93/3=31, Resulting Numbers: [66, 31]
Generated Node #0,1,0: 35:[66, 31] Operation: 93/3=31
Moving to Node #0,1,0
Current State: 35:[66, 31], Operations: ['91-25=66', '93/3=31']
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_4 | sum_heuristic |
[
61,
63,
62,
80
] | 19 | [
"80-61=19",
"63-62=1",
"19*1=19"
] | Current State: 19:[61, 63, 62, 80], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [63, 62, 19]
Generated Node #2: [63, 62, 19] from Operation: 80-61=19
Current State: 19:[63, 62, 19], Operations: ['80-61=19']
Exploring Operation: 63-62=1, Resulting Numbers: [19, 1]
Generated Node #3: [19, 1] from Operation: 63-62=1
Current State: 19:[19, 1], Operations: ['80-61=19', '63-62=1']
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[61, 63, 62, 80], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [63, 62, 19]
Generated Node #0,0: 19:[63, 62, 19] Operation: 80-61=19
Moving to Node #0,0
Current State: 19:[63, 62, 19], Operations: ['80-61=19']
Exploring Operation: 63-62=1, Resulting Numbers: [19, 1]
Generated Node #0,0,0: 19:[19, 1] Operation: 63-62=1
Moving to Node #0,0,0
Current State: 19:[19, 1], Operations: ['80-61=19', '63-62=1']
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[61, 63, 62, 80], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [63, 62, 19]
Generated Node #0,0: 19:[63, 62, 19] Operation: 80-61=19
Moving to Node #0,0
Current State: 19:[63, 62, 19], Operations: ['80-61=19']
Exploring Operation: 63-62=1, Resulting Numbers: [19, 1]
Generated Node #0,0,0: 19:[19, 1] Operation: 63-62=1
Moving to Node #0,0,0
Current State: 19:[19, 1], Operations: ['80-61=19', '63-62=1']
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
17,
8,
21,
96
] | 66 | [
"17-8=9",
"96-21=75",
"75-9=66"
] | Current State: 66:[17, 8, 21, 96], Operations: []
Exploring Operation: 17-8=9, Resulting Numbers: [21, 96, 9]
Generated Node #2: [21, 96, 9] from Operation: 17-8=9
Current State: 66:[21, 96, 9], Operations: ['17-8=9']
Exploring Operation: 96-21=75, Resulting Numbers: [9, 75]
Generated Node #3: [9, 75] from Operation: 96-21=75
Current State: 66:[9, 75], Operations: ['17-8=9', '96-21=75']
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[17, 8, 21, 96], Operations: []
Exploring Operation: 96/8=12, Resulting Numbers: [17, 21, 12]
Generated Node #0,0: 66:[17, 21, 12] Operation: 96/8=12
Exploring Operation: 96-21=75, Resulting Numbers: [17, 8, 75]
Generated Node #0,1: 66:[17, 8, 75] Operation: 96-21=75
Exploring Operation: 96-17=79, Resulting Numbers: [8, 21, 79]
Generated Node #0,2: 66:[8, 21, 79] Operation: 96-17=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[17, 21, 12], Operations: ['96/8=12']
Exploring Operation: 17-12=5, Resulting Numbers: [21, 5]
Generated Node #0,0,0: 66:[21, 5] Operation: 17-12=5
Exploring Operation: 21-17=4, Resulting Numbers: [12, 4]
Generated Node #0,0,1: 66:[12, 4] Operation: 21-17=4
Exploring Operation: 17+12=29, Resulting Numbers: [21, 29]
Generated Node #0,0,2: 66:[21, 29] Operation: 17+12=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[21, 5], Operations: ['96/8=12', '17-12=5']
Exploring Operation: 21+5=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 21*5=105, Resulting Numbers: [105]
105,66 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 #0,0,1
Current State: 66:[12, 4], Operations: ['96/8=12', '21-17=4']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,66 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:[21, 29], Operations: ['96/8=12', '17+12=29']
Exploring Operation: 21*29=609, Resulting Numbers: [609]
609,66 unequal: No Solution
Exploring Operation: 21+29=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[17, 8, 75], Operations: ['96-21=75']
Exploring Operation: 75-17=58, Resulting Numbers: [8, 58]
Generated Node #0,1,0: 66:[8, 58] Operation: 75-17=58
Exploring Operation: 17-8=9, Resulting Numbers: [75, 9]
Generated Node #0,1,1: 66:[75, 9] Operation: 17-8=9
Exploring Operation: 75-8=67, Resulting Numbers: [17, 67]
Generated Node #0,1,2: 66:[17, 67] Operation: 75-8=67
Moving to Node #0,1,2
Current State: 66:[17, 67], Operations: ['96-21=75', '75-8=67']
Exploring Operation: 17+67=84, Resulting Numbers: [84]
84,66 unequal: No Solution
Exploring Operation: 67-17=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 17*67=1139, Resulting Numbers: [1139]
1139,66 unequal: No Solution
Moving to Node #0,1,0
Current State: 66:[8, 58], Operations: ['96-21=75', '75-17=58']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 8*58=464, Resulting Numbers: [464]
464,66 unequal: No Solution
Exploring Operation: 8+58=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[17, 8, 21, 96], Operations: []
Exploring Operation: 96-21=75, Resulting Numbers: [17, 8, 75]
Generated Node #0,1: 66:[17, 8, 75] Operation: 96-21=75
Moving to Node #0,1
Current State: 66:[17, 8, 75], Operations: ['96-21=75']
Exploring Operation: 75-17=58, Resulting Numbers: [8, 58]
Generated Node #0,1,0: 66:[8, 58] Operation: 75-17=58
Moving to Node #0,1,0
Current State: 66:[8, 58], Operations: ['96-21=75', '75-17=58']
Exploring Operation: 8+58=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_3 | sum_heuristic |
[
43,
24,
67,
87
] | 88 | [
"43+24=67",
"67/67=1",
"87+1=88"
] | Current State: 88:[43, 24, 67, 87], Operations: []
Exploring Operation: 43+24=67, Resulting Numbers: [67, 87, 67]
Generated Node #2: [67, 87, 67] from Operation: 43+24=67
Current State: 88:[67, 87, 67], Operations: ['43+24=67']
Exploring Operation: 67/67=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 67/67=1
Current State: 88:[87, 1], Operations: ['43+24=67', '67/67=1']
Exploring Operation: 87+1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[43, 24, 67, 87], Operations: []
Exploring Operation: 67-43=24, Resulting Numbers: [24, 87, 24]
Generated Node #0,0: 88:[24, 87, 24] Operation: 67-43=24
Exploring Operation: 87-67=20, Resulting Numbers: [43, 24, 20]
Generated Node #0,1: 88:[43, 24, 20] Operation: 87-67=20
Exploring Operation: 67-24=43, Resulting Numbers: [43, 87, 43]
Generated Node #0,2: 88:[43, 87, 43] Operation: 67-24=43
Exploring Operation: 24+67=91, Resulting Numbers: [43, 87, 91]
Generated Node #0,3: 88:[43, 87, 91] Operation: 24+67=91
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[43, 87, 43], Operations: ['67-24=43']
Exploring Operation: 43/43=1, Resulting Numbers: [87, 1]
Generated Node #0,2,0: 88:[87, 1] Operation: 43/43=1
Exploring Operation: 43+43=86, Resulting Numbers: [87, 86]
Generated Node #0,2,1: 88:[87, 86] Operation: 43+43=86
Exploring Operation: 87-43=44, Resulting Numbers: [43, 44]
Generated Node #0,2,2: 88:[43, 44] Operation: 87-43=44
Exploring Operation: 87-43=44, Resulting Numbers: [43, 44]
Generated Node #0,2,3: 88:[43, 44] Operation: 87-43=44
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 88:[43, 44], Operations: ['67-24=43', '87-43=44']
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,88 unequal: No Solution
Exploring Operation: 43*44=1892, Resulting Numbers: [1892]
1892,88 unequal: No Solution
Exploring Operation: 43+44=87, Resulting Numbers: [87]
87,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 88:[43, 44], Operations: ['67-24=43', '87-43=44']
Exploring Operation: 43*44=1892, Resulting Numbers: [1892]
1892,88 unequal: No Solution
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,88 unequal: No Solution
Exploring Operation: 43+44=87, Resulting Numbers: [87]
87,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 88:[87, 1], Operations: ['67-24=43', '43/43=1']
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,88 unequal: No Solution
Exploring Operation: 87+1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[43, 24, 67, 87], Operations: []
Exploring Operation: 67-24=43, Resulting Numbers: [43, 87, 43]
Generated Node #0,2: 88:[43, 87, 43] Operation: 67-24=43
Moving to Node #0,2
Current State: 88:[43, 87, 43], Operations: ['67-24=43']
Exploring Operation: 43/43=1, Resulting Numbers: [87, 1]
Generated Node #0,2,0: 88:[87, 1] Operation: 43/43=1
Moving to Node #0,2,0
Current State: 88:[87, 1], Operations: ['67-24=43', '43/43=1']
Exploring Operation: 87+1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
49,
70,
68,
58
] | 78 | [
"70-68=2",
"58/2=29",
"49+29=78"
] | Current State: 78:[49, 70, 68, 58], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [49, 58, 2]
Generated Node #2: [49, 58, 2] from Operation: 70-68=2
Current State: 78:[49, 58, 2], Operations: ['70-68=2']
Exploring Operation: 58/2=29, Resulting Numbers: [49, 29]
Generated Node #3: [49, 29] from Operation: 58/2=29
Current State: 78:[49, 29], Operations: ['70-68=2', '58/2=29']
Exploring Operation: 49+29=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[49, 70, 68, 58], Operations: []
Exploring Operation: 68-58=10, Resulting Numbers: [49, 70, 10]
Generated Node #0,0: 78:[49, 70, 10] Operation: 68-58=10
Exploring Operation: 70-58=12, Resulting Numbers: [49, 68, 12]
Generated Node #0,1: 78:[49, 68, 12] Operation: 70-58=12
Exploring Operation: 58-49=9, Resulting Numbers: [70, 68, 9]
Generated Node #0,2: 78:[70, 68, 9] Operation: 58-49=9
Exploring Operation: 70-68=2, Resulting Numbers: [49, 58, 2]
Generated Node #0,3: 78:[49, 58, 2] Operation: 70-68=2
Moving to Node #0,0
Current State: 78:[49, 70, 10], Operations: ['68-58=10']
Exploring Operation: 70+10=80, Resulting Numbers: [49, 80]
Generated Node #0,0,0: 78:[49, 80] Operation: 70+10=80
Exploring Operation: 70-49=21, Resulting Numbers: [10, 21]
Generated Node #0,0,1: 78:[10, 21] Operation: 70-49=21
Exploring Operation: 49-10=39, Resulting Numbers: [70, 39]
Generated Node #0,0,2: 78:[70, 39] Operation: 49-10=39
Exploring Operation: 70/10=7, Resulting Numbers: [49, 7]
Generated Node #0,0,3: 78:[49, 7] Operation: 70/10=7
Moving to Node #0,2
Current State: 78:[70, 68, 9], Operations: ['58-49=9']
Exploring Operation: 70+9=79, Resulting Numbers: [68, 79]
Generated Node #0,2,0: 78:[68, 79] Operation: 70+9=79
Exploring Operation: 68+9=77, Resulting Numbers: [70, 77]
Generated Node #0,2,1: 78:[70, 77] Operation: 68+9=77
Exploring Operation: 70-68=2, Resulting Numbers: [9, 2]
Generated Node #0,2,2: 78:[9, 2] Operation: 70-68=2
Exploring Operation: 70-9=61, Resulting Numbers: [68, 61]
Generated Node #0,2,3: 78:[68, 61] Operation: 70-9=61
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 78:[9, 2], Operations: ['58-49=9', '70-68=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,78 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,78 unequal: No Solution
No 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: 78:[70, 77], Operations: ['58-49=9', '68+9=77']
Exploring Operation: 77-70=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 70+77=147, Resulting Numbers: [147]
147,78 unequal: No Solution
Exploring Operation: 70*77=5390, Resulting Numbers: [5390]
5390,78 unequal: No Solution
No 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: 78:[68, 79], Operations: ['58-49=9', '70+9=79']
Exploring Operation: 79-68=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 68+79=147, Resulting Numbers: [147]
147,78 unequal: No Solution
Exploring Operation: 68*79=5372, Resulting Numbers: [5372]
5372,78 unequal: No Solution
No 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: 78:[68, 61], Operations: ['58-49=9', '70-9=61']
Exploring Operation: 68+61=129, Resulting Numbers: [129]
129,78 unequal: No Solution
Exploring Operation: 68*61=4148, Resulting Numbers: [4148]
4148,78 unequal: No Solution
Exploring Operation: 68-61=7, Resulting Numbers: [7]
7,78 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: 78:[49, 68, 12], Operations: ['70-58=12']
Exploring Operation: 68-49=19, Resulting Numbers: [12, 19]
Generated Node #0,1,0: 78:[12, 19] Operation: 68-49=19
Exploring Operation: 49+12=61, Resulting Numbers: [68, 61]
Generated Node #0,1,1: 78:[68, 61] Operation: 49+12=61
Exploring Operation: 49-12=37, Resulting Numbers: [68, 37]
Generated Node #0,1,2: 78:[68, 37] Operation: 49-12=37
Exploring Operation: 68+12=80, Resulting Numbers: [49, 80]
Generated Node #0,1,3: 78:[49, 80] Operation: 68+12=80
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[12, 19], Operations: ['70-58=12', '68-49=19']
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,78 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,78 unequal: No Solution
No solution 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: 78:[68, 37], Operations: ['70-58=12', '49-12=37']
Exploring Operation: 68*37=2516, Resulting Numbers: [2516]
2516,78 unequal: No Solution
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 68+37=105, Resulting Numbers: [105]
105,78 unequal: No Solution
No solution 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: 78:[49, 80], Operations: ['70-58=12', '68+12=80']
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 49+80=129, Resulting Numbers: [129]
129,78 unequal: No Solution
Exploring Operation: 49*80=3920, Resulting Numbers: [3920]
3920,78 unequal: No Solution
No solution 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: 78:[68, 61], Operations: ['70-58=12', '49+12=61']
Exploring Operation: 68+61=129, Resulting Numbers: [129]
129,78 unequal: No Solution
Exploring Operation: 68*61=4148, Resulting Numbers: [4148]
4148,78 unequal: No Solution
Exploring Operation: 68-61=7, Resulting Numbers: [7]
7,78 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: 78:[49, 58, 2], Operations: ['70-68=2']
Exploring Operation: 58-2=56, Resulting Numbers: [49, 56]
Generated Node #0,3,0: 78:[49, 56] Operation: 58-2=56
Exploring Operation: 58/2=29, Resulting Numbers: [49, 29]
Generated Node #0,3,1: 78:[49, 29] Operation: 58/2=29
Exploring Operation: 58-49=9, Resulting Numbers: [2, 9]
Generated Node #0,3,2: 78:[2, 9] Operation: 58-49=9
Exploring Operation: 49-2=47, Resulting Numbers: [58, 47]
Generated Node #0,3,3: 78:[58, 47] Operation: 49-2=47
Moving to Node #0,3,2
Current State: 78:[2, 9], Operations: ['70-68=2', '58-49=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,78 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[10, 21], Operations: ['68-58=10', '70-49=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[70, 39], Operations: ['68-58=10', '49-10=39']
Exploring Operation: 70-39=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 70+39=109, Resulting Numbers: [109]
109,78 unequal: No Solution
Exploring Operation: 70*39=2730, Resulting Numbers: [2730]
2730,78 unequal: No Solution
Moving to Node #0,0,3
Current State: 78:[49, 7], Operations: ['68-58=10', '70/10=7']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,78 unequal: No Solution
Exploring Operation: 49*7=343, Resulting Numbers: [343]
343,78 unequal: No Solution
Exploring Operation: 49+7=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[49, 80], Operations: ['68-58=10', '70+10=80']
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 49+80=129, Resulting Numbers: [129]
129,78 unequal: No Solution
Exploring Operation: 49*80=3920, Resulting Numbers: [3920]
3920,78 unequal: No Solution
Moving to Node #0,3,1
Current State: 78:[49, 29], Operations: ['70-68=2', '58/2=29']
Exploring Operation: 49*29=1421, Resulting Numbers: [1421]
1421,78 unequal: No Solution
Exploring Operation: 49-29=20, Resulting Numbers: [20]
20,78 unequal: No Solution
Exploring Operation: 49+29=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[49, 70, 68, 58], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [49, 58, 2]
Generated Node #0,3: 78:[49, 58, 2] Operation: 70-68=2
Moving to Node #0,3
Current State: 78:[49, 58, 2], Operations: ['70-68=2']
Exploring Operation: 58/2=29, Resulting Numbers: [49, 29]
Generated Node #0,3,1: 78:[49, 29] Operation: 58/2=29
Moving to Node #0,3,1
Current State: 78:[49, 29], Operations: ['70-68=2', '58/2=29']
Exploring Operation: 49+29=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.94184 | hs_4 | sum_heuristic |
[
22,
54,
33,
39
] | 26 | [
"54-22=32",
"39-33=6",
"32-6=26"
] | Current State: 26:[22, 54, 33, 39], Operations: []
Exploring Operation: 54-22=32, Resulting Numbers: [33, 39, 32]
Generated Node #2: [33, 39, 32] from Operation: 54-22=32
Current State: 26:[33, 39, 32], Operations: ['54-22=32']
Exploring Operation: 39-33=6, Resulting Numbers: [32, 6]
Generated Node #3: [32, 6] from Operation: 39-33=6
Current State: 26:[32, 6], Operations: ['54-22=32', '39-33=6']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[22, 54, 33, 39], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [22, 33, 15]
Generated Node #0,0: 26:[22, 33, 15] Operation: 54-39=15
Exploring Operation: 54-33=21, Resulting Numbers: [22, 39, 21]
Generated Node #0,1: 26:[22, 39, 21] Operation: 54-33=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[22, 33, 15], Operations: ['54-39=15']
Exploring Operation: 33-15=18, Resulting Numbers: [22, 18]
Generated Node #0,0,0: 26:[22, 18] Operation: 33-15=18
Exploring Operation: 33-22=11, Resulting Numbers: [15, 11]
Generated Node #0,0,1: 26:[15, 11] Operation: 33-22=11
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 26:[15, 11], Operations: ['54-39=15', '33-22=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[22, 54, 33, 39], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [22, 33, 15]
Generated Node #0,0: 26:[22, 33, 15] Operation: 54-39=15
Moving to Node #0,0
Current State: 26:[22, 33, 15], Operations: ['54-39=15']
Exploring Operation: 33-22=11, Resulting Numbers: [15, 11]
Generated Node #0,0,1: 26:[15, 11] Operation: 33-22=11
Moving to Node #0,0,1
Current State: 26:[15, 11], Operations: ['54-39=15', '33-22=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
21,
60,
75,
75
] | 80 | [
"21+60=81",
"75/75=1",
"81-1=80"
] | Current State: 80:[21, 60, 75, 75], Operations: []
Exploring Operation: 21+60=81, Resulting Numbers: [75, 75, 81]
Generated Node #2: [75, 75, 81] from Operation: 21+60=81
Current State: 80:[75, 75, 81], Operations: ['21+60=81']
Exploring Operation: 75/75=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 75/75=1
Current State: 80:[81, 1], Operations: ['21+60=81', '75/75=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[21, 60, 75, 75], Operations: []
Exploring Operation: 60-21=39, Resulting Numbers: [75, 75, 39]
Generated Node #0,0: 80:[75, 75, 39] Operation: 60-21=39
Exploring Operation: 75-60=15, Resulting Numbers: [21, 75, 15]
Generated Node #0,1: 80:[21, 75, 15] Operation: 75-60=15
Exploring Operation: 75-60=15, Resulting Numbers: [21, 75, 15]
Generated Node #0,2: 80:[21, 75, 15] Operation: 75-60=15
Exploring Operation: 21+60=81, Resulting Numbers: [75, 75, 81]
Generated Node #0,3: 80:[75, 75, 81] Operation: 21+60=81
Moving to Node #0,1
Current State: 80:[21, 75, 15], Operations: ['75-60=15']
Exploring Operation: 75+15=90, Resulting Numbers: [21, 90]
Generated Node #0,1,0: 80:[21, 90] Operation: 75+15=90
Exploring Operation: 21+15=36, Resulting Numbers: [75, 36]
Generated Node #0,1,1: 80:[75, 36] Operation: 21+15=36
Exploring Operation: 21-15=6, Resulting Numbers: [75, 6]
Generated Node #0,1,2: 80:[75, 6] Operation: 21-15=6
Exploring Operation: 75/15=5, Resulting Numbers: [21, 5]
Generated Node #0,1,3: 80:[21, 5] Operation: 75/15=5
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 80:[21, 5], Operations: ['75-60=15', '75/15=5']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 21+5=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 21*5=105, Resulting Numbers: [105]
105,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 80:[75, 6], Operations: ['75-60=15', '21-15=6']
Exploring Operation: 75+6=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 75*6=450, Resulting Numbers: [450]
450,80 unequal: No Solution
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[75, 36], Operations: ['75-60=15', '21+15=36']
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,80 unequal: No Solution
Exploring Operation: 75+36=111, Resulting Numbers: [111]
111,80 unequal: No Solution
Exploring Operation: 75*36=2700, Resulting Numbers: [2700]
2700,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[21, 90], Operations: ['75-60=15', '75+15=90']
Exploring Operation: 21+90=111, Resulting Numbers: [111]
111,80 unequal: No Solution
Exploring Operation: 90-21=69, Resulting Numbers: [69]
69,80 unequal: No Solution
Exploring Operation: 21*90=1890, Resulting Numbers: [1890]
1890,80 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: 80:[21, 75, 15], Operations: ['75-60=15']
Exploring Operation: 21-15=6, Resulting Numbers: [75, 6]
Generated Node #0,2,0: 80:[75, 6] Operation: 21-15=6
Exploring Operation: 75/15=5, Resulting Numbers: [21, 5]
Generated Node #0,2,1: 80:[21, 5] Operation: 75/15=5
Exploring Operation: 75+15=90, Resulting Numbers: [21, 90]
Generated Node #0,2,2: 80:[21, 90] Operation: 75+15=90
Exploring Operation: 21+15=36, Resulting Numbers: [75, 36]
Generated Node #0,2,3: 80:[75, 36] Operation: 21+15=36
Moving to Node #0,3
Current State: 80:[75, 75, 81], Operations: ['21+60=81']
Exploring Operation: 75/75=1, Resulting Numbers: [81, 1]
Generated Node #0,3,0: 80:[81, 1] Operation: 75/75=1
Exploring Operation: 75-75=0, Resulting Numbers: [81, 0]
Generated Node #0,3,1: 80:[81, 0] Operation: 75-75=0
Exploring Operation: 81-75=6, Resulting Numbers: [75, 6]
Generated Node #0,3,2: 80:[75, 6] Operation: 81-75=6
Exploring Operation: 81-75=6, Resulting Numbers: [75, 6]
Generated Node #0,3,3: 80:[75, 6] Operation: 81-75=6
Moving to Node #0,0
Current State: 80:[75, 75, 39], Operations: ['60-21=39']
Exploring Operation: 75-39=36, Resulting Numbers: [75, 36]
Generated Node #0,0,0: 80:[75, 36] Operation: 75-39=36
Exploring Operation: 75-75=0, Resulting Numbers: [39, 0]
Generated Node #0,0,1: 80:[39, 0] Operation: 75-75=0
Exploring Operation: 75/75=1, Resulting Numbers: [39, 1]
Generated Node #0,0,2: 80:[39, 1] Operation: 75/75=1
Exploring Operation: 75-39=36, Resulting Numbers: [75, 36]
Generated Node #0,0,3: 80:[75, 36] Operation: 75-39=36
Moving to Node #0,2,1
Current State: 80:[21, 5], Operations: ['75-60=15', '75/15=5']
Exploring Operation: 21*5=105, Resulting Numbers: [105]
105,80 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 21+5=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[81, 1], Operations: ['21+60=81', '75/75=1']
Exploring Operation: 81/1=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[21, 60, 75, 75], Operations: []
Exploring Operation: 21+60=81, Resulting Numbers: [75, 75, 81]
Generated Node #0,3: 80:[75, 75, 81] Operation: 21+60=81
Moving to Node #0,3
Current State: 80:[75, 75, 81], Operations: ['21+60=81']
Exploring Operation: 75/75=1, Resulting Numbers: [81, 1]
Generated Node #0,3,0: 80:[81, 1] Operation: 75/75=1
Moving to Node #0,3,0
Current State: 80:[81, 1], Operations: ['21+60=81', '75/75=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.963542 | hs_4 | sum_heuristic |
[
91,
22,
81,
85
] | 89 | [
"91+85=176",
"176/22=8",
"81+8=89"
] | Current State: 89:[91, 22, 81, 85], Operations: []
Exploring Operation: 91+85=176, Resulting Numbers: [22, 81, 176]
Generated Node #2: [22, 81, 176] from Operation: 91+85=176
Current State: 89:[22, 81, 176], Operations: ['91+85=176']
Exploring Operation: 176/22=8, Resulting Numbers: [81, 8]
Generated Node #3: [81, 8] from Operation: 176/22=8
Current State: 89:[81, 8], Operations: ['91+85=176', '176/22=8']
Exploring Operation: 81+8=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[91, 22, 81, 85], Operations: []
Exploring Operation: 22+81=103, Resulting Numbers: [91, 85, 103]
Generated Node #0,0: 89:[91, 85, 103] Operation: 22+81=103
Moving to Node #0,0
Current State: 89:[91, 85, 103], Operations: ['22+81=103']
Exploring Operation: 103-85=18, Resulting Numbers: [91, 18]
Generated Node #0,0,0: 89:[91, 18] Operation: 103-85=18
Moving to Node #0,0,0
Current State: 89:[91, 18], Operations: ['22+81=103', '103-85=18']
Exploring Operation: 91-18=73, Resulting Numbers: [73]
73,89 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
47,
7,
44,
69
] | 48 | [
"47-44=3",
"7*3=21",
"69-21=48"
] | Current State: 48:[47, 7, 44, 69], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [7, 69, 3]
Generated Node #2: [7, 69, 3] from Operation: 47-44=3
Current State: 48:[7, 69, 3], Operations: ['47-44=3']
Exploring Operation: 7*3=21, Resulting Numbers: [69, 21]
Generated Node #3: [69, 21] from Operation: 7*3=21
Current State: 48:[69, 21], Operations: ['47-44=3', '7*3=21']
Exploring Operation: 69-21=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[47, 7, 44, 69], Operations: []
Exploring Operation: 69-47=22, Resulting Numbers: [7, 44, 22]
Generated Node #0,0: 48:[7, 44, 22] Operation: 69-47=22
Exploring Operation: 69-44=25, Resulting Numbers: [47, 7, 25]
Generated Node #0,1: 48:[47, 7, 25] Operation: 69-44=25
Exploring Operation: 69-7=62, Resulting Numbers: [47, 44, 62]
Generated Node #0,2: 48:[47, 44, 62] Operation: 69-7=62
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[47, 7, 25], Operations: ['69-44=25']
Exploring Operation: 47+7=54, Resulting Numbers: [25, 54]
Generated Node #0,1,0: 48:[25, 54] Operation: 47+7=54
Exploring Operation: 47-25=22, Resulting Numbers: [7, 22]
Generated Node #0,1,1: 48:[7, 22] Operation: 47-25=22
Exploring Operation: 25-7=18, Resulting Numbers: [47, 18]
Generated Node #0,1,2: 48:[47, 18] Operation: 25-7=18
Moving to Node #0,1,1
Current State: 48:[7, 22], Operations: ['69-44=25', '47-25=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[47, 18], Operations: ['69-44=25', '25-7=18']
Exploring Operation: 47+18=65, Resulting Numbers: [65]
65,48 unequal: No Solution
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 47*18=846, Resulting Numbers: [846]
846,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[25, 54], Operations: ['69-44=25', '47+7=54']
Exploring Operation: 54-25=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 25+54=79, Resulting Numbers: [79]
79,48 unequal: No Solution
Exploring Operation: 25*54=1350, Resulting Numbers: [1350]
1350,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[7, 44, 22], Operations: ['69-47=22']
Exploring Operation: 44-22=22, Resulting Numbers: [7, 22]
Generated Node #0,0,0: 48:[7, 22] Operation: 44-22=22
Exploring Operation: 44/22=2, Resulting Numbers: [7, 2]
Generated Node #0,0,1: 48:[7, 2] Operation: 44/22=2
Exploring Operation: 7+44=51, Resulting Numbers: [22, 51]
Generated Node #0,0,2: 48:[22, 51] Operation: 7+44=51
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[7, 2], Operations: ['69-47=22', '44/22=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,48 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[7, 22], Operations: ['69-47=22', '44-22=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,48 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 48:[22, 51], Operations: ['69-47=22', '7+44=51']
Exploring Operation: 22*51=1122, Resulting Numbers: [1122]
1122,48 unequal: No Solution
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 22+51=73, Resulting Numbers: [73]
73,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[47, 44, 62], Operations: ['69-7=62']
Exploring Operation: 62-47=15, Resulting Numbers: [44, 15]
Generated Node #0,2,0: 48:[44, 15] Operation: 62-47=15
Exploring Operation: 62-44=18, Resulting Numbers: [47, 18]
Generated Node #0,2,1: 48:[47, 18] Operation: 62-44=18
Exploring Operation: 47-44=3, Resulting Numbers: [62, 3]
Generated Node #0,2,2: 48:[62, 3] Operation: 47-44=3
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 48:[47, 18], Operations: ['69-7=62', '62-44=18']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 47+18=65, Resulting Numbers: [65]
65,48 unequal: No Solution
Exploring Operation: 47*18=846, Resulting Numbers: [846]
846,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 48:[44, 15], Operations: ['69-7=62', '62-47=15']
Exploring Operation: 44*15=660, Resulting Numbers: [660]
660,48 unequal: No Solution
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 44+15=59, Resulting Numbers: [59]
59,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 48:[62, 3], Operations: ['69-7=62', '47-44=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,48 unequal: No Solution
Exploring Operation: 62*3=186, Resulting Numbers: [186]
186,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
39,
92,
96,
6
] | 78 | [
"96-92=4",
"6-4=2",
"39*2=78"
] | Current State: 78:[39, 92, 96, 6], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [39, 6, 4]
Generated Node #2: [39, 6, 4] from Operation: 96-92=4
Current State: 78:[39, 6, 4], Operations: ['96-92=4']
Exploring Operation: 6-4=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 6-4=2
Current State: 78:[39, 2], Operations: ['96-92=4', '6-4=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[39, 92, 96, 6], Operations: []
Exploring Operation: 96/6=16, Resulting Numbers: [39, 92, 16]
Generated Node #0,0: 78:[39, 92, 16] Operation: 96/6=16
Exploring Operation: 96-92=4, Resulting Numbers: [39, 6, 4]
Generated Node #0,1: 78:[39, 6, 4] Operation: 96-92=4
Moving to Node #0,1
Current State: 78:[39, 6, 4], Operations: ['96-92=4']
Exploring Operation: 6*4=24, Resulting Numbers: [39, 24]
Generated Node #0,1,0: 78:[39, 24] Operation: 6*4=24
Exploring Operation: 6-4=2, Resulting Numbers: [39, 2]
Generated Node #0,1,1: 78:[39, 2] Operation: 6-4=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[39, 2], Operations: ['96-92=4', '6-4=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,78 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[39, 92, 96, 6], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [39, 6, 4]
Generated Node #0,1: 78:[39, 6, 4] Operation: 96-92=4
Moving to Node #0,1
Current State: 78:[39, 6, 4], Operations: ['96-92=4']
Exploring Operation: 6-4=2, Resulting Numbers: [39, 2]
Generated Node #0,1,1: 78:[39, 2] Operation: 6-4=2
Moving to Node #0,1,1
Current State: 78:[39, 2], Operations: ['96-92=4', '6-4=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
1,
51,
60,
64
] | 55 | [
"1*51=51",
"64-60=4",
"51+4=55"
] | Current State: 55:[1, 51, 60, 64], Operations: []
Exploring Operation: 1*51=51, Resulting Numbers: [60, 64, 51]
Generated Node #2: [60, 64, 51] from Operation: 1*51=51
Current State: 55:[60, 64, 51], Operations: ['1*51=51']
Exploring Operation: 64-60=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 64-60=4
Current State: 55:[51, 4], Operations: ['1*51=51', '64-60=4']
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[1, 51, 60, 64], Operations: []
Exploring Operation: 60-1=59, Resulting Numbers: [51, 64, 59]
Generated Node #0,0: 55:[51, 64, 59] Operation: 60-1=59
Exploring Operation: 60-51=9, Resulting Numbers: [1, 64, 9]
Generated Node #0,1: 55:[1, 64, 9] Operation: 60-51=9
Exploring Operation: 1+51=52, Resulting Numbers: [60, 64, 52]
Generated Node #0,2: 55:[60, 64, 52] Operation: 1+51=52
Exploring Operation: 64-51=13, Resulting Numbers: [1, 60, 13]
Generated Node #0,3: 55:[1, 60, 13] Operation: 64-51=13
Exploring Operation: 64-60=4, Resulting Numbers: [1, 51, 4]
Generated Node #0,4: 55:[1, 51, 4] Operation: 64-60=4
Start Sub Search at level 1: Moving to Node #0,4
Current State: 55:[1, 51, 4], Operations: ['64-60=4']
Exploring Operation: 1+51=52, Resulting Numbers: [4, 52]
Generated Node #0,4,0: 55:[4, 52] Operation: 1+51=52
Exploring Operation: 51+4=55, Resulting Numbers: [1, 55]
Generated Node #0,4,1: 55:[1, 55] Operation: 51+4=55
Exploring Operation: 1*51=51, Resulting Numbers: [4, 51]
Generated Node #0,4,2: 55:[4, 51] Operation: 1*51=51
Exploring Operation: 51/1=51, Resulting Numbers: [4, 51]
Generated Node #0,4,3: 55:[4, 51] Operation: 51/1=51
Exploring Operation: 1+4=5, Resulting Numbers: [51, 5]
Generated Node #0,4,4: 55:[51, 5] Operation: 1+4=5
Moving to Node #0,4,0
Current State: 55:[4, 52], Operations: ['64-60=4', '1+51=52']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,55 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 4*52=208, Resulting Numbers: [208]
208,55 unequal: No Solution
Moving to Node #0,4,4
Current State: 55:[51, 5], Operations: ['64-60=4', '1+4=5']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,55 unequal: No Solution
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 51*5=255, Resulting Numbers: [255]
255,55 unequal: No Solution
Moving to Node #0,4,1
Current State: 55:[1, 55], Operations: ['64-60=4', '51+4=55']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[1, 51, 60, 64], Operations: []
Exploring Operation: 64-60=4, Resulting Numbers: [1, 51, 4]
Generated Node #0,4: 55:[1, 51, 4] Operation: 64-60=4
Moving to Node #0,4
Current State: 55:[1, 51, 4], Operations: ['64-60=4']
Exploring Operation: 51+4=55, Resulting Numbers: [1, 55]
Generated Node #0,4,1: 55:[1, 55] Operation: 51+4=55
Moving to Node #0,4,1
Current State: 55:[1, 55], Operations: ['64-60=4', '51+4=55']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
1,
25,
14,
6
] | 66 | [
"1*25=25",
"25-14=11",
"6*11=66"
] | Current State: 66:[1, 25, 14, 6], Operations: []
Exploring Operation: 1*25=25, Resulting Numbers: [14, 6, 25]
Generated Node #2: [14, 6, 25] from Operation: 1*25=25
Current State: 66:[14, 6, 25], Operations: ['1*25=25']
Exploring Operation: 25-14=11, Resulting Numbers: [6, 11]
Generated Node #3: [6, 11] from Operation: 25-14=11
Current State: 66:[6, 11], Operations: ['1*25=25', '25-14=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[1, 25, 14, 6], Operations: []
Exploring Operation: 25-14=11, Resulting Numbers: [1, 6, 11]
Generated Node #0,0: 66:[1, 6, 11] Operation: 25-14=11
Moving to Node #0,0
Current State: 66:[1, 6, 11], Operations: ['25-14=11']
Exploring Operation: 1*6=6, Resulting Numbers: [11, 6]
Generated Node #0,0,0: 66:[11, 6] Operation: 1*6=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[11, 6], Operations: ['25-14=11', '1*6=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[1, 25, 14, 6], Operations: []
Exploring Operation: 25-14=11, Resulting Numbers: [1, 6, 11]
Generated Node #0,0: 66:[1, 6, 11] Operation: 25-14=11
Moving to Node #0,0
Current State: 66:[1, 6, 11], Operations: ['25-14=11']
Exploring Operation: 1*6=6, Resulting Numbers: [11, 6]
Generated Node #0,0,0: 66:[11, 6] Operation: 1*6=6
Moving to Node #0,0,0
Current State: 66:[11, 6], Operations: ['25-14=11', '1*6=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
83,
67,
27,
2
] | 39 | [
"83-27=56",
"56/2=28",
"67-28=39"
] | Current State: 39:[83, 67, 27, 2], Operations: []
Exploring Operation: 83-27=56, Resulting Numbers: [67, 2, 56]
Generated Node #2: [67, 2, 56] from Operation: 83-27=56
Current State: 39:[67, 2, 56], Operations: ['83-27=56']
Exploring Operation: 56/2=28, Resulting Numbers: [67, 28]
Generated Node #3: [67, 28] from Operation: 56/2=28
Current State: 39:[67, 28], Operations: ['83-27=56', '56/2=28']
Exploring Operation: 67-28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[83, 67, 27, 2], Operations: []
Exploring Operation: 83-2=81, Resulting Numbers: [67, 27, 81]
Generated Node #0,0: 39:[67, 27, 81] Operation: 83-2=81
Exploring Operation: 83-67=16, Resulting Numbers: [27, 2, 16]
Generated Node #0,1: 39:[27, 2, 16] Operation: 83-67=16
Exploring Operation: 83-27=56, Resulting Numbers: [67, 2, 56]
Generated Node #0,2: 39:[67, 2, 56] Operation: 83-27=56
Exploring Operation: 67-27=40, Resulting Numbers: [83, 2, 40]
Generated Node #0,3: 39:[83, 2, 40] Operation: 67-27=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[27, 2, 16], Operations: ['83-67=16']
Exploring Operation: 16-2=14, Resulting Numbers: [27, 14]
Generated Node #0,1,0: 39:[27, 14] Operation: 16-2=14
Exploring Operation: 27+16=43, Resulting Numbers: [2, 43]
Generated Node #0,1,1: 39:[2, 43] Operation: 27+16=43
Exploring Operation: 27+2=29, Resulting Numbers: [16, 29]
Generated Node #0,1,2: 39:[16, 29] Operation: 27+2=29
Exploring Operation: 27-16=11, Resulting Numbers: [2, 11]
Generated Node #0,1,3: 39:[2, 11] Operation: 27-16=11
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 39:[2, 11], Operations: ['83-67=16', '27-16=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 39:[2, 43], Operations: ['83-67=16', '27+16=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,39 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[27, 14], Operations: ['83-67=16', '16-2=14']
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,39 unequal: No Solution
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,39 unequal: No Solution
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 39:[16, 29], Operations: ['83-67=16', '27+2=29']
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 16*29=464, Resulting Numbers: [464]
464,39 unequal: No Solution
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[67, 2, 56], Operations: ['83-27=56']
Exploring Operation: 67-2=65, Resulting Numbers: [56, 65]
Generated Node #0,2,0: 39:[56, 65] Operation: 67-2=65
Exploring Operation: 56-2=54, Resulting Numbers: [67, 54]
Generated Node #0,2,1: 39:[67, 54] Operation: 56-2=54
Exploring Operation: 67-56=11, Resulting Numbers: [2, 11]
Generated Node #0,2,2: 39:[2, 11] Operation: 67-56=11
Exploring Operation: 56/2=28, Resulting Numbers: [67, 28]
Generated Node #0,2,3: 39:[67, 28] Operation: 56/2=28
Moving to Node #0,2,2
Current State: 39:[2, 11], Operations: ['83-27=56', '67-56=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Moving to Node #0,2,3
Current State: 39:[67, 28], Operations: ['83-27=56', '56/2=28']
Exploring Operation: 67-28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[83, 67, 27, 2], Operations: []
Exploring Operation: 83-27=56, Resulting Numbers: [67, 2, 56]
Generated Node #0,2: 39:[67, 2, 56] Operation: 83-27=56
Moving to Node #0,2
Current State: 39:[67, 2, 56], Operations: ['83-27=56']
Exploring Operation: 56/2=28, Resulting Numbers: [67, 28]
Generated Node #0,2,3: 39:[67, 28] Operation: 56/2=28
Moving to Node #0,2,3
Current State: 39:[67, 28], Operations: ['83-27=56', '56/2=28']
Exploring Operation: 67-28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | mult_heuristic |
[
91,
98,
12,
85
] | 66 | [
"98-91=7",
"85-12=73",
"73-7=66"
] | Current State: 66:[91, 98, 12, 85], Operations: []
Exploring Operation: 98-91=7, Resulting Numbers: [12, 85, 7]
Generated Node #2: [12, 85, 7] from Operation: 98-91=7
Current State: 66:[12, 85, 7], Operations: ['98-91=7']
Exploring Operation: 85-12=73, Resulting Numbers: [7, 73]
Generated Node #3: [7, 73] from Operation: 85-12=73
Current State: 66:[7, 73], Operations: ['98-91=7', '85-12=73']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[91, 98, 12, 85], Operations: []
Exploring Operation: 98-91=7, Resulting Numbers: [12, 85, 7]
Generated Node #0,0: 66:[12, 85, 7] Operation: 98-91=7
Moving to Node #0,0
Current State: 66:[12, 85, 7], Operations: ['98-91=7']
Exploring Operation: 85-12=73, Resulting Numbers: [7, 73]
Generated Node #0,0,0: 66:[7, 73] Operation: 85-12=73
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[7, 73], Operations: ['98-91=7', '85-12=73']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[91, 98, 12, 85], Operations: []
Exploring Operation: 98-91=7, Resulting Numbers: [12, 85, 7]
Generated Node #0,0: 66:[12, 85, 7] Operation: 98-91=7
Moving to Node #0,0
Current State: 66:[12, 85, 7], Operations: ['98-91=7']
Exploring Operation: 85-12=73, Resulting Numbers: [7, 73]
Generated Node #0,0,0: 66:[7, 73] Operation: 85-12=73
Moving to Node #0,0,0
Current State: 66:[7, 73], Operations: ['98-91=7', '85-12=73']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
48,
51,
98,
56
] | 33 | [
"48*98=4704",
"4704/56=84",
"84-51=33"
] | Current State: 33:[48, 51, 98, 56], Operations: []
Exploring Operation: 48*98=4704, Resulting Numbers: [51, 56, 4704]
Generated Node #2: [51, 56, 4704] from Operation: 48*98=4704
Current State: 33:[51, 56, 4704], Operations: ['48*98=4704']
Exploring Operation: 4704/56=84, Resulting Numbers: [51, 84]
Generated Node #3: [51, 84] from Operation: 4704/56=84
Current State: 33:[51, 84], Operations: ['48*98=4704', '4704/56=84']
Exploring Operation: 84-51=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[48, 51, 98, 56], Operations: []
Exploring Operation: 98-48=50, Resulting Numbers: [51, 56, 50]
Generated Node #0,0: 33:[51, 56, 50] Operation: 98-48=50
Exploring Operation: 56-51=5, Resulting Numbers: [48, 98, 5]
Generated Node #0,1: 33:[48, 98, 5] Operation: 56-51=5
Exploring Operation: 98-56=42, Resulting Numbers: [48, 51, 42]
Generated Node #0,2: 33:[48, 51, 42] Operation: 98-56=42
Exploring Operation: 98-51=47, Resulting Numbers: [48, 56, 47]
Generated Node #0,3: 33:[48, 56, 47] Operation: 98-51=47
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[48, 51, 42], Operations: ['98-56=42']
Exploring Operation: 48-42=6, Resulting Numbers: [51, 6]
Generated Node #0,2,0: 33:[51, 6] Operation: 48-42=6
Exploring Operation: 48+51=99, Resulting Numbers: [42, 99]
Generated Node #0,2,1: 33:[42, 99] Operation: 48+51=99
Exploring Operation: 51-48=3, Resulting Numbers: [42, 3]
Generated Node #0,2,2: 33:[42, 3] Operation: 51-48=3
Exploring Operation: 51-42=9, Resulting Numbers: [48, 9]
Generated Node #0,2,3: 33:[48, 9] Operation: 51-42=9
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 33:[42, 3], Operations: ['98-56=42', '51-48=3']
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,33 unequal: No Solution
Exploring Operation: 42*3=126, Resulting Numbers: [126]
126,33 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,33 unequal: No Solution
No 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: 33:[48, 9], Operations: ['98-56=42', '51-42=9']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,33 unequal: No Solution
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,33 unequal: No Solution
No 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: 33:[51, 6], Operations: ['98-56=42', '48-42=6']
Exploring Operation: 51*6=306, Resulting Numbers: [306]
306,33 unequal: No Solution
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,33 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,33 unequal: No Solution
No 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: 33:[42, 99], Operations: ['98-56=42', '48+51=99']
Exploring Operation: 99-42=57, Resulting Numbers: [57]
57,33 unequal: No Solution
Exploring Operation: 42+99=141, Resulting Numbers: [141]
141,33 unequal: No Solution
Exploring Operation: 42*99=4158, Resulting Numbers: [4158]
4158,33 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: 33:[48, 56, 47], Operations: ['98-51=47']
Exploring Operation: 56-48=8, Resulting Numbers: [47, 8]
Generated Node #0,3,0: 33:[47, 8] Operation: 56-48=8
Exploring Operation: 56-47=9, Resulting Numbers: [48, 9]
Generated Node #0,3,1: 33:[48, 9] Operation: 56-47=9
Exploring Operation: 48-47=1, Resulting Numbers: [56, 1]
Generated Node #0,3,2: 33:[56, 1] Operation: 48-47=1
Exploring Operation: 48+56=104, Resulting Numbers: [47, 104]
Generated Node #0,3,3: 33:[47, 104] Operation: 48+56=104
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 33:[47, 8], Operations: ['98-51=47', '56-48=8']
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 47*8=376, Resulting Numbers: [376]
376,33 unequal: No Solution
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,33 unequal: No Solution
No 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: 33:[48, 9], Operations: ['98-51=47', '56-47=9']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,33 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,33 unequal: No Solution
No 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: 33:[56, 1], Operations: ['98-51=47', '48-47=1']
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,33 unequal: No Solution
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,33 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,33 unequal: No Solution
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,33 unequal: No Solution
No 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: 33:[47, 104], Operations: ['98-51=47', '48+56=104']
Exploring Operation: 47+104=151, Resulting Numbers: [151]
151,33 unequal: No Solution
Exploring Operation: 47*104=4888, Resulting Numbers: [4888]
4888,33 unequal: No Solution
Exploring Operation: 104-47=57, Resulting Numbers: [57]
57,33 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: 33:[51, 56, 50], Operations: ['98-48=50']
Exploring Operation: 56-51=5, Resulting Numbers: [50, 5]
Generated Node #0,0,0: 33:[50, 5] Operation: 56-51=5
Exploring Operation: 51-50=1, Resulting Numbers: [56, 1]
Generated Node #0,0,1: 33:[56, 1] Operation: 51-50=1
Exploring Operation: 56-50=6, Resulting Numbers: [51, 6]
Generated Node #0,0,2: 33:[51, 6] Operation: 56-50=6
Exploring Operation: 51+56=107, Resulting Numbers: [50, 107]
Generated Node #0,0,3: 33:[50, 107] Operation: 51+56=107
Moving to Node #0,0,0
Current State: 33:[50, 5], Operations: ['98-48=50', '56-51=5']
Exploring Operation: 50+5=55, Resulting Numbers: [55]
55,33 unequal: No Solution
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 50*5=250, Resulting Numbers: [250]
250,33 unequal: No Solution
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[51, 6], Operations: ['98-48=50', '56-50=6']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,33 unequal: No Solution
Exploring Operation: 51*6=306, Resulting Numbers: [306]
306,33 unequal: No Solution
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[56, 1], Operations: ['98-48=50', '51-50=1']
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,33 unequal: No Solution
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,33 unequal: No Solution
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,33 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[50, 107], Operations: ['98-48=50', '51+56=107']
Exploring Operation: 50+107=157, Resulting Numbers: [157]
157,33 unequal: No Solution
Exploring Operation: 50*107=5350, Resulting Numbers: [5350]
5350,33 unequal: No Solution
Exploring Operation: 107-50=57, Resulting Numbers: [57]
57,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[48, 98, 5], Operations: ['56-51=5']
Exploring Operation: 98-48=50, Resulting Numbers: [5, 50]
Generated Node #0,1,0: 33:[5, 50] Operation: 98-48=50
Exploring Operation: 48+5=53, Resulting Numbers: [98, 53]
Generated Node #0,1,1: 33:[98, 53] Operation: 48+5=53
Exploring Operation: 48-5=43, Resulting Numbers: [98, 43]
Generated Node #0,1,2: 33:[98, 43] Operation: 48-5=43
Exploring Operation: 98-5=93, Resulting Numbers: [48, 93]
Generated Node #0,1,3: 33:[48, 93] Operation: 98-5=93
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[5, 50], Operations: ['56-51=5', '98-48=50']
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,33 unequal: No Solution
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 5*50=250, Resulting Numbers: [250]
250,33 unequal: No Solution
Exploring Operation: 5+50=55, Resulting Numbers: [55]
55,33 unequal: No Solution
No 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: 33:[98, 43], Operations: ['56-51=5', '48-5=43']
Exploring Operation: 98*43=4214, Resulting Numbers: [4214]
4214,33 unequal: No Solution
Exploring Operation: 98+43=141, Resulting Numbers: [141]
141,33 unequal: No Solution
Exploring Operation: 98-43=55, Resulting Numbers: [55]
55,33 unequal: No Solution
No 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: 33:[48, 93], Operations: ['56-51=5', '98-5=93']
Exploring Operation: 48+93=141, Resulting Numbers: [141]
141,33 unequal: No Solution
Exploring Operation: 93-48=45, Resulting Numbers: [45]
45,33 unequal: No Solution
Exploring Operation: 48*93=4464, Resulting Numbers: [4464]
4464,33 unequal: No Solution
No 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: 33:[98, 53], Operations: ['56-51=5', '48+5=53']
Exploring Operation: 98*53=5194, Resulting Numbers: [5194]
5194,33 unequal: No Solution
Exploring Operation: 98-53=45, Resulting Numbers: [45]
45,33 unequal: No Solution
Exploring Operation: 98+53=151, Resulting Numbers: [151]
151,33 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 |
[
18,
31,
36,
45
] | 58 | [
"18+31=49",
"45-36=9",
"49+9=58"
] | Current State: 58:[18, 31, 36, 45], Operations: []
Exploring Operation: 18+31=49, Resulting Numbers: [36, 45, 49]
Generated Node #2: [36, 45, 49] from Operation: 18+31=49
Current State: 58:[36, 45, 49], Operations: ['18+31=49']
Exploring Operation: 45-36=9, Resulting Numbers: [49, 9]
Generated Node #3: [49, 9] from Operation: 45-36=9
Current State: 58:[49, 9], Operations: ['18+31=49', '45-36=9']
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[18, 31, 36, 45], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [31, 45, 2]
Generated Node #0,0: 58:[31, 45, 2] Operation: 36/18=2
Exploring Operation: 45-18=27, Resulting Numbers: [31, 36, 27]
Generated Node #0,1: 58:[31, 36, 27] Operation: 45-18=27
Exploring Operation: 18+45=63, Resulting Numbers: [31, 36, 63]
Generated Node #0,2: 58:[31, 36, 63] Operation: 18+45=63
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[31, 36, 27], Operations: ['45-18=27']
Exploring Operation: 31+27=58, Resulting Numbers: [36, 58]
Generated Node #0,1,0: 58:[36, 58] Operation: 31+27=58
Exploring Operation: 36-31=5, Resulting Numbers: [27, 5]
Generated Node #0,1,1: 58:[27, 5] Operation: 36-31=5
Exploring Operation: 36+27=63, Resulting Numbers: [31, 63]
Generated Node #0,1,2: 58:[31, 63] Operation: 36+27=63
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 58:[27, 5], Operations: ['45-18=27', '36-31=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,58 unequal: No Solution
Exploring Operation: 27*5=135, Resulting Numbers: [135]
135,58 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:[36, 58], Operations: ['45-18=27', '31+27=58']
Exploring Operation: 36*58=2088, Resulting Numbers: [2088]
2088,58 unequal: No Solution
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 36+58=94, Resulting Numbers: [94]
94,58 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:[31, 63], Operations: ['45-18=27', '36+27=63']
Exploring Operation: 31*63=1953, Resulting Numbers: [1953]
1953,58 unequal: No Solution
Exploring Operation: 31+63=94, Resulting Numbers: [94]
94,58 unequal: No Solution
Exploring Operation: 63-31=32, Resulting Numbers: [32]
32,58 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 #0,2
Current State: 58:[31, 36, 63], Operations: ['18+45=63']
Exploring Operation: 36-31=5, Resulting Numbers: [63, 5]
Generated Node #0,2,0: 58:[63, 5] Operation: 36-31=5
Exploring Operation: 63-36=27, Resulting Numbers: [31, 27]
Generated Node #0,2,1: 58:[31, 27] Operation: 63-36=27
Exploring Operation: 63-31=32, Resulting Numbers: [36, 32]
Generated Node #0,2,2: 58:[36, 32] Operation: 63-31=32
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 58:[31, 27], Operations: ['18+45=63', '63-36=27']
Exploring Operation: 31+27=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[18, 31, 36, 45], Operations: []
Exploring Operation: 18+45=63, Resulting Numbers: [31, 36, 63]
Generated Node #0,2: 58:[31, 36, 63] Operation: 18+45=63
Moving to Node #0,2
Current State: 58:[31, 36, 63], Operations: ['18+45=63']
Exploring Operation: 63-36=27, Resulting Numbers: [31, 27]
Generated Node #0,2,1: 58:[31, 27] Operation: 63-36=27
Moving to Node #0,2,1
Current State: 58:[31, 27], Operations: ['18+45=63', '63-36=27']
Exploring Operation: 31+27=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
98,
11,
17,
32
] | 60 | [
"98+11=109",
"17+32=49",
"109-49=60"
] | Current State: 60:[98, 11, 17, 32], Operations: []
Exploring Operation: 98+11=109, Resulting Numbers: [17, 32, 109]
Generated Node #2: [17, 32, 109] from Operation: 98+11=109
Current State: 60:[17, 32, 109], Operations: ['98+11=109']
Exploring Operation: 17+32=49, Resulting Numbers: [109, 49]
Generated Node #3: [109, 49] from Operation: 17+32=49
Current State: 60:[109, 49], Operations: ['98+11=109', '17+32=49']
Exploring Operation: 109-49=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[98, 11, 17, 32], Operations: []
Exploring Operation: 98-32=66, Resulting Numbers: [11, 17, 66]
Generated Node #0,0: 60:[11, 17, 66] Operation: 98-32=66
Exploring Operation: 98-17=81, Resulting Numbers: [11, 32, 81]
Generated Node #0,1: 60:[11, 32, 81] Operation: 98-17=81
Moving to Node #0,0
Current State: 60:[11, 17, 66], Operations: ['98-32=66']
Exploring Operation: 66/11=6, Resulting Numbers: [17, 6]
Generated Node #0,0,0: 60:[17, 6] Operation: 66/11=6
Exploring Operation: 17-11=6, Resulting Numbers: [66, 6]
Generated Node #0,0,1: 60:[66, 6] Operation: 17-11=6
Moving to Node #0,1
Current State: 60:[11, 32, 81], Operations: ['98-17=81']
Exploring Operation: 81-32=49, Resulting Numbers: [11, 49]
Generated Node #0,1,0: 60:[11, 49] Operation: 81-32=49
Exploring Operation: 81-11=70, Resulting Numbers: [32, 70]
Generated Node #0,1,1: 60:[32, 70] Operation: 81-11=70
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 60:[11, 49], Operations: ['98-17=81', '81-32=49']
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[98, 11, 17, 32], Operations: []
Exploring Operation: 98-17=81, Resulting Numbers: [11, 32, 81]
Generated Node #0,1: 60:[11, 32, 81] Operation: 98-17=81
Moving to Node #0,1
Current State: 60:[11, 32, 81], Operations: ['98-17=81']
Exploring Operation: 81-32=49, Resulting Numbers: [11, 49]
Generated Node #0,1,0: 60:[11, 49] Operation: 81-32=49
Moving to Node #0,1,0
Current State: 60:[11, 49], Operations: ['98-17=81', '81-32=49']
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
4,
20,
97,
56
] | 91 | [
"56/4=14",
"97-20=77",
"14+77=91"
] | Current State: 91:[4, 20, 97, 56], Operations: []
Exploring Operation: 56/4=14, Resulting Numbers: [20, 97, 14]
Generated Node #2: [20, 97, 14] from Operation: 56/4=14
Current State: 91:[20, 97, 14], Operations: ['56/4=14']
Exploring Operation: 97-20=77, Resulting Numbers: [14, 77]
Generated Node #3: [14, 77] from Operation: 97-20=77
Current State: 91:[14, 77], Operations: ['56/4=14', '97-20=77']
Exploring Operation: 14+77=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[4, 20, 97, 56], Operations: []
Exploring Operation: 20/4=5, Resulting Numbers: [97, 56, 5]
Generated Node #0,0: 91:[97, 56, 5] Operation: 20/4=5
Exploring Operation: 56/4=14, Resulting Numbers: [20, 97, 14]
Generated Node #0,1: 91:[20, 97, 14] Operation: 56/4=14
Exploring Operation: 20+56=76, Resulting Numbers: [4, 97, 76]
Generated Node #0,2: 91:[4, 97, 76] Operation: 20+56=76
Exploring Operation: 97-56=41, Resulting Numbers: [4, 20, 41]
Generated Node #0,3: 91:[4, 20, 41] Operation: 97-56=41
Exploring Operation: 56-20=36, Resulting Numbers: [4, 97, 36]
Generated Node #0,4: 91:[4, 97, 36] Operation: 56-20=36
Moving to Node #0,1
Current State: 91:[20, 97, 14], Operations: ['56/4=14']
Exploring Operation: 20-14=6, Resulting Numbers: [97, 6]
Generated Node #0,1,0: 91:[97, 6] Operation: 20-14=6
Exploring Operation: 20+97=117, Resulting Numbers: [14, 117]
Generated Node #0,1,1: 91:[14, 117] Operation: 20+97=117
Exploring Operation: 97-20=77, Resulting Numbers: [14, 77]
Generated Node #0,1,2: 91:[14, 77] Operation: 97-20=77
Exploring Operation: 97-14=83, Resulting Numbers: [20, 83]
Generated Node #0,1,3: 91:[20, 83] Operation: 97-14=83
Exploring Operation: 20+14=34, Resulting Numbers: [97, 34]
Generated Node #0,1,4: 91:[97, 34] Operation: 20+14=34
Moving to Node #0,2
Current State: 91:[4, 97, 76], Operations: ['20+56=76']
Exploring Operation: 4+76=80, Resulting Numbers: [97, 80]
Generated Node #0,2,0: 91:[97, 80] Operation: 4+76=80
Exploring Operation: 97-4=93, Resulting Numbers: [76, 93]
Generated Node #0,2,1: 91:[76, 93] Operation: 97-4=93
Exploring Operation: 97-76=21, Resulting Numbers: [4, 21]
Generated Node #0,2,2: 91:[4, 21] Operation: 97-76=21
Exploring Operation: 76/4=19, Resulting Numbers: [97, 19]
Generated Node #0,2,3: 91:[97, 19] Operation: 76/4=19
Exploring Operation: 4+97=101, Resulting Numbers: [76, 101]
Generated Node #0,2,4: 91:[76, 101] Operation: 4+97=101
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[4, 21], Operations: ['20+56=76', '97-76=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 91:[97, 19], Operations: ['20+56=76', '76/4=19']
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,91 unequal: No Solution
Exploring Operation: 97*19=1843, Resulting Numbers: [1843]
1843,91 unequal: No Solution
Exploring Operation: 97+19=116, Resulting Numbers: [116]
116,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 91:[97, 80], Operations: ['20+56=76', '4+76=80']
Exploring Operation: 97-80=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 97*80=7760, Resulting Numbers: [7760]
7760,91 unequal: No Solution
Exploring Operation: 97+80=177, Resulting Numbers: [177]
177,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 91:[76, 93], Operations: ['20+56=76', '97-4=93']
Exploring Operation: 93-76=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 76+93=169, Resulting Numbers: [169]
169,91 unequal: No Solution
Exploring Operation: 76*93=7068, Resulting Numbers: [7068]
7068,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 91:[76, 101], Operations: ['20+56=76', '4+97=101']
Exploring Operation: 76+101=177, Resulting Numbers: [177]
177,91 unequal: No Solution
Exploring Operation: 76*101=7676, Resulting Numbers: [7676]
7676,91 unequal: No Solution
Exploring Operation: 101-76=25, Resulting Numbers: [25]
25,91 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: 91:[4, 97, 36], Operations: ['56-20=36']
Exploring Operation: 97-4=93, Resulting Numbers: [36, 93]
Generated Node #0,4,0: 91:[36, 93] Operation: 97-4=93
Exploring Operation: 36/4=9, Resulting Numbers: [97, 9]
Generated Node #0,4,1: 91:[97, 9] Operation: 36/4=9
Exploring Operation: 36-4=32, Resulting Numbers: [97, 32]
Generated Node #0,4,2: 91:[97, 32] Operation: 36-4=32
Exploring Operation: 4+97=101, Resulting Numbers: [36, 101]
Generated Node #0,4,3: 91:[36, 101] Operation: 4+97=101
Exploring Operation: 4+36=40, Resulting Numbers: [97, 40]
Generated Node #0,4,4: 91:[97, 40] Operation: 4+36=40
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 91:[97, 9], Operations: ['56-20=36', '36/4=9']
Exploring Operation: 97*9=873, Resulting Numbers: [873]
873,91 unequal: No Solution
Exploring Operation: 97-9=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 97+9=106, Resulting Numbers: [106]
106,91 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 #0,4,0
Current State: 91:[36, 93], Operations: ['56-20=36', '97-4=93']
Exploring Operation: 36+93=129, Resulting Numbers: [129]
129,91 unequal: No Solution
Exploring Operation: 36*93=3348, Resulting Numbers: [3348]
3348,91 unequal: No Solution
Exploring Operation: 93-36=57, Resulting Numbers: [57]
57,91 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 #0,4,2
Current State: 91:[97, 32], Operations: ['56-20=36', '36-4=32']
Exploring Operation: 97+32=129, Resulting Numbers: [129]
129,91 unequal: No Solution
Exploring Operation: 97*32=3104, Resulting Numbers: [3104]
3104,91 unequal: No Solution
Exploring Operation: 97-32=65, Resulting Numbers: [65]
65,91 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 #0,4,3
Current State: 91:[36, 101], Operations: ['56-20=36', '4+97=101']
Exploring Operation: 36+101=137, Resulting Numbers: [137]
137,91 unequal: No Solution
Exploring Operation: 101-36=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 36*101=3636, Resulting Numbers: [3636]
3636,91 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 #0,4,4
Current State: 91:[97, 40], Operations: ['56-20=36', '4+36=40']
Exploring Operation: 97+40=137, Resulting Numbers: [137]
137,91 unequal: No Solution
Exploring Operation: 97-40=57, Resulting Numbers: [57]
57,91 unequal: No Solution
Exploring Operation: 97*40=3880, Resulting Numbers: [3880]
3880,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 91:[4, 20, 41], Operations: ['97-56=41']
Exploring Operation: 20-4=16, Resulting Numbers: [41, 16]
Generated Node #0,3,0: 91:[41, 16] Operation: 20-4=16
Exploring Operation: 20+41=61, Resulting Numbers: [4, 61]
Generated Node #0,3,1: 91:[4, 61] Operation: 20+41=61
Exploring Operation: 41-20=21, Resulting Numbers: [4, 21]
Generated Node #0,3,2: 91:[4, 21] Operation: 41-20=21
Exploring Operation: 41-4=37, Resulting Numbers: [20, 37]
Generated Node #0,3,3: 91:[20, 37] Operation: 41-4=37
Exploring Operation: 20/4=5, Resulting Numbers: [41, 5]
Generated Node #0,3,4: 91:[41, 5] Operation: 20/4=5
Moving to Node #0,0
Current State: 91:[97, 56, 5], Operations: ['20/4=5']
Exploring Operation: 97-56=41, Resulting Numbers: [5, 41]
Generated Node #0,0,0: 91:[5, 41] Operation: 97-56=41
Exploring Operation: 56+5=61, Resulting Numbers: [97, 61]
Generated Node #0,0,1: 91:[97, 61] Operation: 56+5=61
Exploring Operation: 97-5=92, Resulting Numbers: [56, 92]
Generated Node #0,0,2: 91:[56, 92] Operation: 97-5=92
Exploring Operation: 97+5=102, Resulting Numbers: [56, 102]
Generated Node #0,0,3: 91:[56, 102] Operation: 97+5=102
Exploring Operation: 56-5=51, Resulting Numbers: [97, 51]
Generated Node #0,0,4: 91:[97, 51] Operation: 56-5=51
Moving to Node #0,1,0
Current State: 91:[97, 6], Operations: ['56/4=14', '20-14=6']
Exploring Operation: 97*6=582, Resulting Numbers: [582]
582,91 unequal: No Solution
Exploring Operation: 97+6=103, Resulting Numbers: [103]
103,91 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[4, 20, 97, 56], Operations: []
Exploring Operation: 56/4=14, Resulting Numbers: [20, 97, 14]
Generated Node #0,1: 91:[20, 97, 14] Operation: 56/4=14
Moving to Node #0,1
Current State: 91:[20, 97, 14], Operations: ['56/4=14']
Exploring Operation: 20-14=6, Resulting Numbers: [97, 6]
Generated Node #0,1,0: 91:[97, 6] Operation: 20-14=6
Moving to Node #0,1,0
Current State: 91:[97, 6], Operations: ['56/4=14', '20-14=6']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.94184 | hs_5 | sum_heuristic |
[
61,
15,
9,
15
] | 52 | [
"61+15=76",
"9+15=24",
"76-24=52"
] | Current State: 52:[61, 15, 9, 15], Operations: []
Exploring Operation: 61+15=76, Resulting Numbers: [9, 76]
Generated Node #2: [9, 76] from Operation: 61+15=76
Current State: 52:[9, 76], Operations: ['61+15=76']
Exploring Operation: 9+15=24, Resulting Numbers: [76, 24]
Generated Node #3: [76, 24] from Operation: 9+15=24
Current State: 52:[76, 24], Operations: ['61+15=76', '9+15=24']
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[61, 15, 9, 15], Operations: []
Exploring Operation: 61-15=46, Resulting Numbers: [9, 15, 46]
Generated Node #0,0: 52:[9, 15, 46] Operation: 61-15=46
Exploring Operation: 61-15=46, Resulting Numbers: [15, 9, 46]
Generated Node #0,1: 52:[15, 9, 46] Operation: 61-15=46
Exploring Operation: 61-9=52, Resulting Numbers: [15, 15, 52]
Generated Node #0,2: 52:[15, 15, 52] Operation: 61-9=52
Moving to Node #0,2
Current State: 52:[15, 15, 52], Operations: ['61-9=52']
Exploring Operation: 15/15=1, Resulting Numbers: [52, 1]
Generated Node #0,2,0: 52:[52, 1] Operation: 15/15=1
Exploring Operation: 15-15=0, Resulting Numbers: [52, 0]
Generated Node #0,2,1: 52:[52, 0] Operation: 15-15=0
Exploring Operation: 15+15=30, Resulting Numbers: [52, 30]
Generated Node #0,2,2: 52:[52, 30] Operation: 15+15=30
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 52:[52, 1], Operations: ['61-9=52', '15/15=1']
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[61, 15, 9, 15], Operations: []
Exploring Operation: 61-9=52, Resulting Numbers: [15, 15, 52]
Generated Node #0,2: 52:[15, 15, 52] Operation: 61-9=52
Moving to Node #0,2
Current State: 52:[15, 15, 52], Operations: ['61-9=52']
Exploring Operation: 15/15=1, Resulting Numbers: [52, 1]
Generated Node #0,2,0: 52:[52, 1] Operation: 15/15=1
Moving to Node #0,2,0
Current State: 52:[52, 1], Operations: ['61-9=52', '15/15=1']
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
73,
70,
33,
25
] | 14 | [
"73-70=3",
"33/3=11",
"25-11=14"
] | Current State: 14:[73, 70, 33, 25], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [33, 25, 3]
Generated Node #2: [33, 25, 3] from Operation: 73-70=3
Current State: 14:[33, 25, 3], Operations: ['73-70=3']
Exploring Operation: 33/3=11, Resulting Numbers: [25, 11]
Generated Node #3: [25, 11] from Operation: 33/3=11
Current State: 14:[25, 11], Operations: ['73-70=3', '33/3=11']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[73, 70, 33, 25], Operations: []
Exploring Operation: 73-33=40, Resulting Numbers: [70, 25, 40]
Generated Node #0,0: 14:[70, 25, 40] Operation: 73-33=40
Exploring Operation: 70-33=37, Resulting Numbers: [73, 25, 37]
Generated Node #0,1: 14:[73, 25, 37] Operation: 70-33=37
Exploring Operation: 73-25=48, Resulting Numbers: [70, 33, 48]
Generated Node #0,2: 14:[70, 33, 48] Operation: 73-25=48
Exploring Operation: 73-70=3, Resulting Numbers: [33, 25, 3]
Generated Node #0,3: 14:[33, 25, 3] Operation: 73-70=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 14:[33, 25, 3], Operations: ['73-70=3']
Exploring Operation: 33-25=8, Resulting Numbers: [3, 8]
Generated Node #0,3,0: 14:[3, 8] Operation: 33-25=8
Exploring Operation: 33/3=11, Resulting Numbers: [25, 11]
Generated Node #0,3,1: 14:[25, 11] Operation: 33/3=11
Exploring Operation: 25-3=22, Resulting Numbers: [33, 22]
Generated Node #0,3,2: 14:[33, 22] Operation: 25-3=22
Exploring Operation: 33-3=30, Resulting Numbers: [25, 30]
Generated Node #0,3,3: 14:[25, 30] Operation: 33-3=30
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 14:[3, 8], Operations: ['73-70=3', '33-25=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,14 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 14:[25, 11], Operations: ['73-70=3', '33/3=11']
Exploring Operation: 25+11=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 25*11=275, Resulting Numbers: [275]
275,14 unequal: No Solution
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[73, 70, 33, 25], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [33, 25, 3]
Generated Node #0,3: 14:[33, 25, 3] Operation: 73-70=3
Moving to Node #0,3
Current State: 14:[33, 25, 3], Operations: ['73-70=3']
Exploring Operation: 33/3=11, Resulting Numbers: [25, 11]
Generated Node #0,3,1: 14:[25, 11] Operation: 33/3=11
Moving to Node #0,3,1
Current State: 14:[25, 11], Operations: ['73-70=3', '33/3=11']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
96,
55,
15,
87
] | 31 | [
"96-55=41",
"87-15=72",
"72-41=31"
] | Current State: 31:[96, 55, 15, 87], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [15, 87, 41]
Generated Node #2: [15, 87, 41] from Operation: 96-55=41
Current State: 31:[15, 87, 41], Operations: ['96-55=41']
Exploring Operation: 87-15=72, Resulting Numbers: [41, 72]
Generated Node #3: [41, 72] from Operation: 87-15=72
Current State: 31:[41, 72], Operations: ['96-55=41', '87-15=72']
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[96, 55, 15, 87], Operations: []
Exploring Operation: 96-87=9, Resulting Numbers: [55, 15, 9]
Generated Node #0,0: 31:[55, 15, 9] Operation: 96-87=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[55, 15, 9], Operations: ['96-87=9']
Exploring Operation: 55-15=40, Resulting Numbers: [9, 40]
Generated Node #0,0,0: 31:[9, 40] Operation: 55-15=40
Moving to Node #0,0,0
Current State: 31:[9, 40], Operations: ['96-87=9', '55-15=40']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[96, 55, 15, 87], Operations: []
Exploring Operation: 96-87=9, Resulting Numbers: [55, 15, 9]
Generated Node #0,0: 31:[55, 15, 9] Operation: 96-87=9
Moving to Node #0,0
Current State: 31:[55, 15, 9], Operations: ['96-87=9']
Exploring Operation: 55-15=40, Resulting Numbers: [9, 40]
Generated Node #0,0,0: 31:[9, 40] Operation: 55-15=40
Moving to Node #0,0,0
Current State: 31:[9, 40], Operations: ['96-87=9', '55-15=40']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
21,
34,
60,
49
] | 96 | [
"34-21=13",
"60+49=109",
"109-13=96"
] | Current State: 96:[21, 34, 60, 49], Operations: []
Exploring Operation: 34-21=13, Resulting Numbers: [60, 49, 13]
Generated Node #2: [60, 49, 13] from Operation: 34-21=13
Current State: 96:[60, 49, 13], Operations: ['34-21=13']
Exploring Operation: 60+49=109, Resulting Numbers: [13, 109]
Generated Node #3: [13, 109] from Operation: 60+49=109
Current State: 96:[13, 109], Operations: ['34-21=13', '60+49=109']
Exploring Operation: 109-13=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[21, 34, 60, 49], Operations: []
Exploring Operation: 60-49=11, Resulting Numbers: [21, 34, 11]
Generated Node #0,0: 96:[21, 34, 11] Operation: 60-49=11
Exploring Operation: 60-34=26, Resulting Numbers: [21, 49, 26]
Generated Node #0,1: 96:[21, 49, 26] Operation: 60-34=26
Exploring Operation: 34+60=94, Resulting Numbers: [21, 49, 94]
Generated Node #0,2: 96:[21, 49, 94] Operation: 34+60=94
Moving to Node #0,0
Current State: 96:[21, 34, 11], Operations: ['60-49=11']
Exploring Operation: 34-21=13, Resulting Numbers: [11, 13]
Generated Node #0,0,0: 96:[11, 13] Operation: 34-21=13
Exploring Operation: 21+11=32, Resulting Numbers: [34, 32]
Generated Node #0,0,1: 96:[34, 32] Operation: 21+11=32
Exploring Operation: 21-11=10, Resulting Numbers: [34, 10]
Generated Node #0,0,2: 96:[34, 10] Operation: 21-11=10
Moving to Node #0,1
Current State: 96:[21, 49, 26], Operations: ['60-34=26']
Exploring Operation: 21+26=47, Resulting Numbers: [49, 47]
Generated Node #0,1,0: 96:[49, 47] Operation: 21+26=47
Exploring Operation: 49-26=23, Resulting Numbers: [21, 23]
Generated Node #0,1,1: 96:[21, 23] Operation: 49-26=23
Exploring Operation: 26-21=5, Resulting Numbers: [49, 5]
Generated Node #0,1,2: 96:[49, 5] Operation: 26-21=5
Moving to Node #0,2
Current State: 96:[21, 49, 94], Operations: ['34+60=94']
Exploring Operation: 49-21=28, Resulting Numbers: [94, 28]
Generated Node #0,2,0: 96:[94, 28] Operation: 49-21=28
Exploring Operation: 94-49=45, Resulting Numbers: [21, 45]
Generated Node #0,2,1: 96:[21, 45] Operation: 94-49=45
Exploring Operation: 21+94=115, Resulting Numbers: [49, 115]
Generated Node #0,2,2: 96:[49, 115] Operation: 21+94=115
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 96:[94, 28], Operations: ['34+60=94', '49-21=28']
Exploring Operation: 94*28=2632, Resulting Numbers: [2632]
2632,96 unequal: No Solution
Exploring Operation: 94-28=66, Resulting Numbers: [66]
66,96 unequal: No Solution
Exploring Operation: 94+28=122, Resulting Numbers: [122]
122,96 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 #0,2,1
Current State: 96:[21, 45], Operations: ['34+60=94', '94-49=45']
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 21+45=66, Resulting Numbers: [66]
66,96 unequal: No Solution
Exploring Operation: 21*45=945, Resulting Numbers: [945]
945,96 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 #0,2,2
Current State: 96:[49, 115], Operations: ['34+60=94', '21+94=115']
Exploring Operation: 115-49=66, Resulting Numbers: [66]
66,96 unequal: No Solution
Exploring Operation: 49+115=164, Resulting Numbers: [164]
164,96 unequal: No Solution
Exploring Operation: 49*115=5635, Resulting Numbers: [5635]
5635,96 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: 96:[11, 13], Operations: ['60-49=11', '34-21=13']
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,96 unequal: No Solution
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[34, 32], Operations: ['60-49=11', '21+11=32']
Exploring Operation: 34*32=1088, Resulting Numbers: [1088]
1088,96 unequal: No Solution
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,96 unequal: No Solution
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[49, 5], Operations: ['60-34=26', '26-21=5']
Exploring Operation: 49*5=245, Resulting Numbers: [245]
245,96 unequal: No Solution
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,96 unequal: No Solution
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[49, 47], Operations: ['60-34=26', '21+26=47']
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 49+47=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[21, 34, 60, 49], Operations: []
Exploring Operation: 60-34=26, Resulting Numbers: [21, 49, 26]
Generated Node #0,1: 96:[21, 49, 26] Operation: 60-34=26
Moving to Node #0,1
Current State: 96:[21, 49, 26], Operations: ['60-34=26']
Exploring Operation: 21+26=47, Resulting Numbers: [49, 47]
Generated Node #0,1,0: 96:[49, 47] Operation: 21+26=47
Moving to Node #0,1,0
Current State: 96:[49, 47], Operations: ['60-34=26', '21+26=47']
Exploring Operation: 49+47=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 0.96875 | hs_3 | mult_heuristic |
[
4,
41,
39,
43
] | 70 | [
"39-4=35",
"43-41=2",
"35*2=70"
] | Current State: 70:[4, 41, 39, 43], Operations: []
Exploring Operation: 39-4=35, Resulting Numbers: [41, 43, 35]
Generated Node #2: [41, 43, 35] from Operation: 39-4=35
Current State: 70:[41, 43, 35], Operations: ['39-4=35']
Exploring Operation: 43-41=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 43-41=2
Current State: 70:[35, 2], Operations: ['39-4=35', '43-41=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[4, 41, 39, 43], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [4, 39, 2]
Generated Node #0,0: 70:[4, 39, 2] Operation: 43-41=2
Exploring Operation: 41-4=37, Resulting Numbers: [39, 43, 37]
Generated Node #0,1: 70:[39, 43, 37] Operation: 41-4=37
Exploring Operation: 41-39=2, Resulting Numbers: [4, 43, 2]
Generated Node #0,2: 70:[4, 43, 2] Operation: 41-39=2
Exploring Operation: 43-39=4, Resulting Numbers: [4, 41, 4]
Generated Node #0,3: 70:[4, 41, 4] Operation: 43-39=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[4, 39, 2], Operations: ['43-41=2']
Exploring Operation: 39-4=35, Resulting Numbers: [2, 35]
Generated Node #0,0,0: 70:[2, 35] Operation: 39-4=35
Exploring Operation: 4-2=2, Resulting Numbers: [39, 2]
Generated Node #0,0,1: 70:[39, 2] Operation: 4-2=2
Exploring Operation: 4/2=2, Resulting Numbers: [39, 2]
Generated Node #0,0,2: 70:[39, 2] Operation: 4/2=2
Exploring Operation: 39-2=37, Resulting Numbers: [4, 37]
Generated Node #0,0,3: 70:[4, 37] Operation: 39-2=37
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[2, 35], Operations: ['43-41=2', '39-4=35']
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[4, 41, 39, 43], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [4, 39, 2]
Generated Node #0,0: 70:[4, 39, 2] Operation: 43-41=2
Moving to Node #0,0
Current State: 70:[4, 39, 2], Operations: ['43-41=2']
Exploring Operation: 39-4=35, Resulting Numbers: [2, 35]
Generated Node #0,0,0: 70:[2, 35] Operation: 39-4=35
Moving to Node #0,0,0
Current State: 70:[2, 35], Operations: ['43-41=2', '39-4=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
73,
70,
12,
33
] | 21 | [
"73-33=40",
"70*12=840",
"840/40=21"
] | Current State: 21:[73, 70, 12, 33], Operations: []
Exploring Operation: 73-33=40, Resulting Numbers: [70, 12, 40]
Generated Node #2: [70, 12, 40] from Operation: 73-33=40
Current State: 21:[70, 12, 40], Operations: ['73-33=40']
Exploring Operation: 70*12=840, Resulting Numbers: [40, 840]
Generated Node #3: [40, 840] from Operation: 70*12=840
Current State: 21:[40, 840], Operations: ['73-33=40', '70*12=840']
Exploring Operation: 840/40=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[73, 70, 12, 33], Operations: []
Exploring Operation: 70-33=37, Resulting Numbers: [73, 12, 37]
Generated Node #0,0: 21:[73, 12, 37] Operation: 70-33=37
Exploring Operation: 73-70=3, Resulting Numbers: [12, 33, 3]
Generated Node #0,1: 21:[12, 33, 3] Operation: 73-70=3
Exploring Operation: 73-12=61, Resulting Numbers: [70, 33, 61]
Generated Node #0,2: 21:[70, 33, 61] Operation: 73-12=61
Exploring Operation: 73-33=40, Resulting Numbers: [70, 12, 40]
Generated Node #0,3: 21:[70, 12, 40] Operation: 73-33=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[12, 33, 3], Operations: ['73-70=3']
Exploring Operation: 12/3=4, Resulting Numbers: [33, 4]
Generated Node #0,1,0: 21:[33, 4] Operation: 12/3=4
Exploring Operation: 33-12=21, Resulting Numbers: [3, 21]
Generated Node #0,1,1: 21:[3, 21] Operation: 33-12=21
Exploring Operation: 33/3=11, Resulting Numbers: [12, 11]
Generated Node #0,1,2: 21:[12, 11] Operation: 33/3=11
Exploring Operation: 12-3=9, Resulting Numbers: [33, 9]
Generated Node #0,1,3: 21:[33, 9] Operation: 12-3=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 21:[3, 21], Operations: ['73-70=3', '33-12=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,21 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,21 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 #0,1,2
Current State: 21:[12, 11], Operations: ['73-70=3', '33/3=11']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,21 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,21 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 #0,1,0
Current State: 21:[33, 4], Operations: ['73-70=3', '12/3=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,21 unequal: No Solution
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,21 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 #0,1,3
Current State: 21:[33, 9], Operations: ['73-70=3', '12-3=9']
Exploring Operation: 33*9=297, Resulting Numbers: [297]
297,21 unequal: No Solution
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,21 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 #0,0
Current State: 21:[73, 12, 37], Operations: ['70-33=37']
Exploring Operation: 37-12=25, Resulting Numbers: [73, 25]
Generated Node #0,0,0: 21:[73, 25] Operation: 37-12=25
Exploring Operation: 73+12=85, Resulting Numbers: [37, 85]
Generated Node #0,0,1: 21:[37, 85] Operation: 73+12=85
Exploring Operation: 73-37=36, Resulting Numbers: [12, 36]
Generated Node #0,0,2: 21:[12, 36] Operation: 73-37=36
Exploring Operation: 73-12=61, Resulting Numbers: [37, 61]
Generated Node #0,0,3: 21:[37, 61] Operation: 73-12=61
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 21:[12, 36], Operations: ['70-33=37', '73-37=36']
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,21 unequal: No Solution
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,21 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,21 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 #0,0,0
Current State: 21:[73, 25], Operations: ['70-33=37', '37-12=25']
Exploring Operation: 73+25=98, Resulting Numbers: [98]
98,21 unequal: No Solution
Exploring Operation: 73*25=1825, Resulting Numbers: [1825]
1825,21 unequal: No Solution
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,21 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 #0,0,3
Current State: 21:[37, 61], Operations: ['70-33=37', '73-12=61']
Exploring Operation: 37+61=98, Resulting Numbers: [98]
98,21 unequal: No Solution
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 37*61=2257, Resulting Numbers: [2257]
2257,21 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 #0,0,1
Current State: 21:[37, 85], Operations: ['70-33=37', '73+12=85']
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,21 unequal: No Solution
Exploring Operation: 37+85=122, Resulting Numbers: [122]
122,21 unequal: No Solution
Exploring Operation: 37*85=3145, Resulting Numbers: [3145]
3145,21 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:[70, 12, 40], Operations: ['73-33=40']
Exploring Operation: 70+12=82, Resulting Numbers: [40, 82]
Generated Node #0,3,0: 21:[40, 82] Operation: 70+12=82
Exploring Operation: 70-40=30, Resulting Numbers: [12, 30]
Generated Node #0,3,1: 21:[12, 30] Operation: 70-40=30
Exploring Operation: 70-12=58, Resulting Numbers: [40, 58]
Generated Node #0,3,2: 21:[40, 58] Operation: 70-12=58
Exploring Operation: 40-12=28, Resulting Numbers: [70, 28]
Generated Node #0,3,3: 21:[70, 28] Operation: 40-12=28
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 21:[12, 30], Operations: ['73-33=40', '70-40=30']
Exploring Operation: 12+30=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 12*30=360, Resulting Numbers: [360]
360,21 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:[40, 58], Operations: ['73-33=40', '70-12=58']
Exploring Operation: 40+58=98, Resulting Numbers: [98]
98,21 unequal: No Solution
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 40*58=2320, Resulting Numbers: [2320]
2320,21 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 #0,3,3
Current State: 21:[70, 28], Operations: ['73-33=40', '40-12=28']
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 70+28=98, Resulting Numbers: [98]
98,21 unequal: No Solution
Exploring Operation: 70*28=1960, Resulting Numbers: [1960]
1960,21 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:[40, 82], Operations: ['73-33=40', '70+12=82']
Exploring Operation: 40+82=122, Resulting Numbers: [122]
122,21 unequal: No Solution
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 40*82=3280, Resulting Numbers: [3280]
3280,21 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 #0,2
Current State: 21:[70, 33, 61], Operations: ['73-12=61']
Exploring Operation: 61-33=28, Resulting Numbers: [70, 28]
Generated Node #0,2,0: 21:[70, 28] Operation: 61-33=28
Exploring Operation: 70-33=37, Resulting Numbers: [61, 37]
Generated Node #0,2,1: 21:[61, 37] Operation: 70-33=37
Exploring Operation: 70-61=9, Resulting Numbers: [33, 9]
Generated Node #0,2,2: 21:[33, 9] Operation: 70-61=9
Exploring Operation: 70+33=103, Resulting Numbers: [61, 103]
Generated Node #0,2,3: 21:[61, 103] Operation: 70+33=103
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 21:[33, 9], Operations: ['73-12=61', '70-61=9']
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 33*9=297, Resulting Numbers: [297]
297,21 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:[70, 28], Operations: ['73-12=61', '61-33=28']
Exploring Operation: 70*28=1960, Resulting Numbers: [1960]
1960,21 unequal: No Solution
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 70+28=98, Resulting Numbers: [98]
98,21 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:[61, 37], Operations: ['73-12=61', '70-33=37']
Exploring Operation: 61*37=2257, Resulting Numbers: [2257]
2257,21 unequal: No Solution
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 61+37=98, Resulting Numbers: [98]
98,21 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:[61, 103], Operations: ['73-12=61', '70+33=103']
Exploring Operation: 103-61=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 61+103=164, Resulting Numbers: [164]
164,21 unequal: No Solution
Exploring Operation: 61*103=6283, Resulting Numbers: [6283]
6283,21 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 | sum_heuristic |
[
14,
92,
3,
42
] | 93 | [
"14*3=42",
"42/42=1",
"92+1=93"
] | Current State: 93:[14, 92, 3, 42], Operations: []
Exploring Operation: 14*3=42, Resulting Numbers: [92, 42, 42]
Generated Node #2: [92, 42, 42] from Operation: 14*3=42
Current State: 93:[92, 42, 42], Operations: ['14*3=42']
Exploring Operation: 42/42=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 42/42=1
Current State: 93:[92, 1], Operations: ['14*3=42', '42/42=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[14, 92, 3, 42], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [92, 3, 3]
Generated Node #0,0: 93:[92, 3, 3] Operation: 42/14=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[92, 3, 3], Operations: ['42/14=3']
Exploring Operation: 92+3=95, Resulting Numbers: [3, 95]
Generated Node #0,0,0: 93:[3, 95] Operation: 92+3=95
Moving to Node #0,0,0
Current State: 93:[3, 95], Operations: ['42/14=3', '92+3=95']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,93 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 |
[
65,
80,
45,
24
] | 54 | [
"80-65=15",
"45+24=69",
"69-15=54"
] | Current State: 54:[65, 80, 45, 24], Operations: []
Exploring Operation: 80-65=15, Resulting Numbers: [45, 24, 15]
Generated Node #2: [45, 24, 15] from Operation: 80-65=15
Current State: 54:[45, 24, 15], Operations: ['80-65=15']
Exploring Operation: 45+24=69, Resulting Numbers: [15, 69]
Generated Node #3: [15, 69] from Operation: 45+24=69
Current State: 54:[15, 69], Operations: ['80-65=15', '45+24=69']
Exploring Operation: 69-15=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[65, 80, 45, 24], Operations: []
Exploring Operation: 80-45=35, Resulting Numbers: [65, 24, 35]
Generated Node #0,0: 54:[65, 24, 35] Operation: 80-45=35
Exploring Operation: 80-65=15, Resulting Numbers: [45, 24, 15]
Generated Node #0,1: 54:[45, 24, 15] Operation: 80-65=15
Exploring Operation: 80-24=56, Resulting Numbers: [65, 45, 56]
Generated Node #0,2: 54:[65, 45, 56] Operation: 80-24=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[45, 24, 15], Operations: ['80-65=15']
Exploring Operation: 45-15=30, Resulting Numbers: [24, 30]
Generated Node #0,1,0: 54:[24, 30] Operation: 45-15=30
Exploring Operation: 45/15=3, Resulting Numbers: [24, 3]
Generated Node #0,1,1: 54:[24, 3] Operation: 45/15=3
Exploring Operation: 45-24=21, Resulting Numbers: [15, 21]
Generated Node #0,1,2: 54:[15, 21] Operation: 45-24=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 54:[24, 3], Operations: ['80-65=15', '45/15=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,54 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,54 unequal: No Solution
Exploring Operation: 24/3=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:[24, 30], Operations: ['80-65=15', '45-15=30']
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[65, 80, 45, 24], Operations: []
Exploring Operation: 80-65=15, Resulting Numbers: [45, 24, 15]
Generated Node #0,1: 54:[45, 24, 15] Operation: 80-65=15
Moving to Node #0,1
Current State: 54:[45, 24, 15], Operations: ['80-65=15']
Exploring Operation: 45-15=30, Resulting Numbers: [24, 30]
Generated Node #0,1,0: 54:[24, 30] Operation: 45-15=30
Moving to Node #0,1,0
Current State: 54:[24, 30], Operations: ['80-65=15', '45-15=30']
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
19,
10,
72,
6
] | 95 | [
"19+10=29",
"72-6=66",
"29+66=95"
] | Current State: 95:[19, 10, 72, 6], Operations: []
Exploring Operation: 19+10=29, Resulting Numbers: [72, 6, 29]
Generated Node #2: [72, 6, 29] from Operation: 19+10=29
Current State: 95:[72, 6, 29], Operations: ['19+10=29']
Exploring Operation: 72-6=66, Resulting Numbers: [29, 66]
Generated Node #3: [29, 66] from Operation: 72-6=66
Current State: 95:[29, 66], Operations: ['19+10=29', '72-6=66']
Exploring Operation: 29+66=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[19, 10, 72, 6], Operations: []
Exploring Operation: 19+72=91, Resulting Numbers: [10, 6, 91]
Generated Node #0,0: 95:[10, 6, 91] Operation: 19+72=91
Exploring Operation: 72+6=78, Resulting Numbers: [19, 10, 78]
Generated Node #0,1: 95:[19, 10, 78] Operation: 72+6=78
Exploring Operation: 10-6=4, Resulting Numbers: [19, 72, 4]
Generated Node #0,2: 95:[19, 72, 4] Operation: 10-6=4
Exploring Operation: 72/6=12, Resulting Numbers: [19, 10, 12]
Generated Node #0,3: 95:[19, 10, 12] Operation: 72/6=12
Exploring Operation: 10+72=82, Resulting Numbers: [19, 6, 82]
Generated Node #0,4: 95:[19, 6, 82] Operation: 10+72=82
Moving to Node #0,0
Current State: 95:[10, 6, 91], Operations: ['19+72=91']
Exploring Operation: 6+91=97, Resulting Numbers: [10, 97]
Generated Node #0,0,0: 95:[10, 97] Operation: 6+91=97
Exploring Operation: 10+6=16, Resulting Numbers: [91, 16]
Generated Node #0,0,1: 95:[91, 16] Operation: 10+6=16
Exploring Operation: 10+91=101, Resulting Numbers: [6, 101]
Generated Node #0,0,2: 95:[6, 101] Operation: 10+91=101
Exploring Operation: 91-10=81, Resulting Numbers: [6, 81]
Generated Node #0,0,3: 95:[6, 81] Operation: 91-10=81
Exploring Operation: 10-6=4, Resulting Numbers: [91, 4]
Generated Node #0,0,4: 95:[91, 4] Operation: 10-6=4
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 95:[91, 4], Operations: ['19+72=91', '10-6=4']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,95 unequal: No Solution
Exploring Operation: 91*4=364, Resulting Numbers: [364]
364,95 unequal: No Solution
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[19, 10, 72, 6], Operations: []
Exploring Operation: 19+72=91, Resulting Numbers: [10, 6, 91]
Generated Node #0,0: 95:[10, 6, 91] Operation: 19+72=91
Moving to Node #0,0
Current State: 95:[10, 6, 91], Operations: ['19+72=91']
Exploring Operation: 10-6=4, Resulting Numbers: [91, 4]
Generated Node #0,0,4: 95:[91, 4] Operation: 10-6=4
Moving to Node #0,0,4
Current State: 95:[91, 4], Operations: ['19+72=91', '10-6=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
16,
46,
44,
34
] | 95 | [
"46*34=1564",
"1564-44=1520",
"1520/16=95"
] | Current State: 95:[16, 46, 44, 34], Operations: []
Exploring Operation: 46*34=1564, Resulting Numbers: [16, 44, 1564]
Generated Node #2: [16, 44, 1564] from Operation: 46*34=1564
Current State: 95:[16, 44, 1564], Operations: ['46*34=1564']
Exploring Operation: 1564-44=1520, Resulting Numbers: [16, 1520]
Generated Node #3: [16, 1520] from Operation: 1564-44=1520
Current State: 95:[16, 1520], Operations: ['46*34=1564', '1564-44=1520']
Exploring Operation: 1520/16=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[16, 46, 44, 34], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [16, 34, 2]
Generated Node #0,0: 95:[16, 34, 2] Operation: 46-44=2
Exploring Operation: 46+44=90, Resulting Numbers: [16, 34, 90]
Generated Node #0,1: 95:[16, 34, 90] Operation: 46+44=90
Exploring Operation: 46-34=12, Resulting Numbers: [16, 44, 12]
Generated Node #0,2: 95:[16, 44, 12] Operation: 46-34=12
Exploring Operation: 44-34=10, Resulting Numbers: [16, 46, 10]
Generated Node #0,3: 95:[16, 46, 10] Operation: 44-34=10
Moving to Node #0,0
Current State: 95:[16, 34, 2], Operations: ['46-44=2']
Exploring Operation: 34-16=18, Resulting Numbers: [2, 18]
Generated Node #0,0,0: 95:[2, 18] Operation: 34-16=18
Exploring Operation: 34-2=32, Resulting Numbers: [16, 32]
Generated Node #0,0,1: 95:[16, 32] Operation: 34-2=32
Exploring Operation: 16+2=18, Resulting Numbers: [34, 18]
Generated Node #0,0,2: 95:[34, 18] Operation: 16+2=18
Exploring Operation: 34/2=17, Resulting Numbers: [16, 17]
Generated Node #0,0,3: 95:[16, 17] Operation: 34/2=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[2, 18], Operations: ['46-44=2', '34-16=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,95 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,95 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 #0,0,3
Current State: 95:[16, 17], Operations: ['46-44=2', '34/2=17']
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 16*17=272, Resulting Numbers: [272]
272,95 unequal: No Solution
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,95 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:[16, 32], Operations: ['46-44=2', '34-2=32']
Exploring Operation: 16*32=512, Resulting Numbers: [512]
512,95 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,95 unequal: No Solution
Exploring Operation: 32/16=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 #0,0,2
Current State: 95:[34, 18], Operations: ['46-44=2', '16+2=18']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 34*18=612, Resulting Numbers: [612]
612,95 unequal: No Solution
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,95 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:[16, 34, 90], Operations: ['46+44=90']
Exploring Operation: 16+34=50, Resulting Numbers: [90, 50]
Generated Node #0,1,0: 95:[90, 50] Operation: 16+34=50
Exploring Operation: 34+90=124, Resulting Numbers: [16, 124]
Generated Node #0,1,1: 95:[16, 124] Operation: 34+90=124
Exploring Operation: 16+90=106, Resulting Numbers: [34, 106]
Generated Node #0,1,2: 95:[34, 106] Operation: 16+90=106
Exploring Operation: 34-16=18, Resulting Numbers: [90, 18]
Generated Node #0,1,3: 95:[90, 18] Operation: 34-16=18
Moving to Node #0,3
Current State: 95:[16, 46, 10], Operations: ['44-34=10']
Exploring Operation: 16+10=26, Resulting Numbers: [46, 26]
Generated Node #0,3,0: 95:[46, 26] Operation: 16+10=26
Exploring Operation: 46-16=30, Resulting Numbers: [10, 30]
Generated Node #0,3,1: 95:[10, 30] Operation: 46-16=30
Exploring Operation: 46-10=36, Resulting Numbers: [16, 36]
Generated Node #0,3,2: 95:[16, 36] Operation: 46-10=36
Exploring Operation: 16-10=6, Resulting Numbers: [46, 6]
Generated Node #0,3,3: 95:[46, 6] Operation: 16-10=6
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 95:[10, 30], Operations: ['44-34=10', '46-16=30']
Exploring Operation: 10*30=300, Resulting Numbers: [300]
300,95 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Exploring Operation: 10+30=40, Resulting Numbers: [40]
40,95 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,95 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 #0,3,2
Current State: 95:[16, 36], Operations: ['44-34=10', '46-10=36']
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,95 unequal: No Solution
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,95 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,95 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 #0,3,3
Current State: 95:[46, 6], Operations: ['44-34=10', '16-10=6']
Exploring Operation: 46+6=52, Resulting Numbers: [52]
52,95 unequal: No Solution
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,95 unequal: No Solution
Exploring Operation: 46*6=276, Resulting Numbers: [276]
276,95 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 #0,3,0
Current State: 95:[46, 26], Operations: ['44-34=10', '16+10=26']
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 46*26=1196, Resulting Numbers: [1196]
1196,95 unequal: No Solution
Exploring Operation: 46+26=72, Resulting Numbers: [72]
72,95 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: 95:[16, 44, 12], Operations: ['46-34=12']
Exploring Operation: 44-16=28, Resulting Numbers: [12, 28]
Generated Node #0,2,0: 95:[12, 28] Operation: 44-16=28
Exploring Operation: 44-12=32, Resulting Numbers: [16, 32]
Generated Node #0,2,1: 95:[16, 32] Operation: 44-12=32
Exploring Operation: 16-12=4, Resulting Numbers: [44, 4]
Generated Node #0,2,2: 95:[44, 4] Operation: 16-12=4
Exploring Operation: 16+12=28, Resulting Numbers: [44, 28]
Generated Node #0,2,3: 95:[44, 28] Operation: 16+12=28
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 95:[12, 28], Operations: ['46-34=12', '44-16=28']
Exploring Operation: 12+28=40, Resulting Numbers: [40]
40,95 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 12*28=336, Resulting Numbers: [336]
336,95 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 #0,2,1
Current State: 95:[16, 32], Operations: ['46-34=12', '44-12=32']
Exploring Operation: 16*32=512, Resulting Numbers: [512]
512,95 unequal: No Solution
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,95 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,95 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 #0,2,2
Current State: 95:[44, 4], Operations: ['46-34=12', '16-12=4']
Exploring Operation: 44*4=176, Resulting Numbers: [176]
176,95 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,95 unequal: No Solution
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,95 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 #0,2,3
Current State: 95:[44, 28], Operations: ['46-34=12', '16+12=28']
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 44*28=1232, Resulting Numbers: [1232]
1232,95 unequal: No Solution
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 95:[90, 18], Operations: ['46+44=90', '34-16=18']
Exploring Operation: 90/18=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 90+18=108, Resulting Numbers: [108]
108,95 unequal: No Solution
Exploring Operation: 90*18=1620, Resulting Numbers: [1620]
1620,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[34, 106], Operations: ['46+44=90', '16+90=106']
Exploring Operation: 34+106=140, Resulting Numbers: [140]
140,95 unequal: No Solution
Exploring Operation: 34*106=3604, Resulting Numbers: [3604]
3604,95 unequal: No Solution
Exploring Operation: 106-34=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[16, 124], Operations: ['46+44=90', '34+90=124']
Exploring Operation: 124-16=108, Resulting Numbers: [108]
108,95 unequal: No Solution
Exploring Operation: 16+124=140, Resulting Numbers: [140]
140,95 unequal: No Solution
Exploring Operation: 16*124=1984, Resulting Numbers: [1984]
1984,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[90, 50], Operations: ['46+44=90', '16+34=50']
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,95 unequal: No Solution
Exploring Operation: 90*50=4500, Resulting Numbers: [4500]
4500,95 unequal: No Solution
Exploring Operation: 90+50=140, Resulting Numbers: [140]
140,95 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
37,
6,
59,
91
] | 68 | [
"91-37=54",
"54/6=9",
"59+9=68"
] | Current State: 68:[37, 6, 59, 91], Operations: []
Exploring Operation: 91-37=54, Resulting Numbers: [6, 59, 54]
Generated Node #2: [6, 59, 54] from Operation: 91-37=54
Current State: 68:[6, 59, 54], Operations: ['91-37=54']
Exploring Operation: 54/6=9, Resulting Numbers: [59, 9]
Generated Node #3: [59, 9] from Operation: 54/6=9
Current State: 68:[59, 9], Operations: ['91-37=54', '54/6=9']
Exploring Operation: 59+9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[37, 6, 59, 91], Operations: []
Exploring Operation: 91-59=32, Resulting Numbers: [37, 6, 32]
Generated Node #0,0: 68:[37, 6, 32] Operation: 91-59=32
Exploring Operation: 6+59=65, Resulting Numbers: [37, 91, 65]
Generated Node #0,1: 68:[37, 91, 65] Operation: 6+59=65
Exploring Operation: 91-37=54, Resulting Numbers: [6, 59, 54]
Generated Node #0,2: 68:[6, 59, 54] Operation: 91-37=54
Exploring Operation: 91-6=85, Resulting Numbers: [37, 59, 85]
Generated Node #0,3: 68:[37, 59, 85] Operation: 91-6=85
Moving to Node #0,0
Current State: 68:[37, 6, 32], Operations: ['91-59=32']
Exploring Operation: 37-6=31, Resulting Numbers: [32, 31]
Generated Node #0,0,0: 68:[32, 31] Operation: 37-6=31
Exploring Operation: 37+32=69, Resulting Numbers: [6, 69]
Generated Node #0,0,1: 68:[6, 69] Operation: 37+32=69
Exploring Operation: 37-32=5, Resulting Numbers: [6, 5]
Generated Node #0,0,2: 68:[6, 5] Operation: 37-32=5
Exploring Operation: 6+32=38, Resulting Numbers: [37, 38]
Generated Node #0,0,3: 68:[37, 38] Operation: 6+32=38
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 68:[6, 69], Operations: ['91-59=32', '37+32=69']
Exploring Operation: 6*69=414, Resulting Numbers: [414]
414,68 unequal: No Solution
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Exploring Operation: 6+69=75, Resulting Numbers: [75]
75,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 68:[6, 5], Operations: ['91-59=32', '37-32=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,68 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[32, 31], Operations: ['91-59=32', '37-6=31']
Exploring Operation: 32+31=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Exploring Operation: 32*31=992, Resulting Numbers: [992]
992,68 unequal: No Solution
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 68:[37, 38], Operations: ['91-59=32', '6+32=38']
Exploring Operation: 37*38=1406, Resulting Numbers: [1406]
1406,68 unequal: No Solution
Exploring Operation: 37+38=75, Resulting Numbers: [75]
75,68 unequal: No Solution
Exploring Operation: 38-37=1, Resulting Numbers: [1]
1,68 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: 68:[6, 59, 54], Operations: ['91-37=54']
Exploring Operation: 54/6=9, Resulting Numbers: [59, 9]
Generated Node #0,2,0: 68:[59, 9] Operation: 54/6=9
Exploring Operation: 6+59=65, Resulting Numbers: [54, 65]
Generated Node #0,2,1: 68:[54, 65] Operation: 6+59=65
Exploring Operation: 6+54=60, Resulting Numbers: [59, 60]
Generated Node #0,2,2: 68:[59, 60] Operation: 6+54=60
Exploring Operation: 59-54=5, Resulting Numbers: [6, 5]
Generated Node #0,2,3: 68:[6, 5] Operation: 59-54=5
Moving to Node #0,3
Current State: 68:[37, 59, 85], Operations: ['91-6=85']
Exploring Operation: 85-37=48, Resulting Numbers: [59, 48]
Generated Node #0,3,0: 68:[59, 48] Operation: 85-37=48
Exploring Operation: 37+59=96, Resulting Numbers: [85, 96]
Generated Node #0,3,1: 68:[85, 96] Operation: 37+59=96
Exploring Operation: 59-37=22, Resulting Numbers: [85, 22]
Generated Node #0,3,2: 68:[85, 22] Operation: 59-37=22
Exploring Operation: 85-59=26, Resulting Numbers: [37, 26]
Generated Node #0,3,3: 68:[37, 26] Operation: 85-59=26
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 68:[37, 26], Operations: ['91-6=85', '85-59=26']
Exploring Operation: 37-26=11, Resulting Numbers: [11]
11,68 unequal: No Solution
Exploring Operation: 37*26=962, Resulting Numbers: [962]
962,68 unequal: No Solution
Exploring Operation: 37+26=63, Resulting Numbers: [63]
63,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 68:[85, 22], Operations: ['91-6=85', '59-37=22']
Exploring Operation: 85+22=107, Resulting Numbers: [107]
107,68 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Exploring Operation: 85*22=1870, Resulting Numbers: [1870]
1870,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 68:[59, 48], Operations: ['91-6=85', '85-37=48']
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,68 unequal: No Solution
Exploring Operation: 59+48=107, Resulting Numbers: [107]
107,68 unequal: No Solution
Exploring Operation: 59*48=2832, Resulting Numbers: [2832]
2832,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 68:[85, 96], Operations: ['91-6=85', '37+59=96']
Exploring Operation: 85*96=8160, Resulting Numbers: [8160]
8160,68 unequal: No Solution
Exploring Operation: 85+96=181, Resulting Numbers: [181]
181,68 unequal: No Solution
Exploring Operation: 96-85=11, Resulting Numbers: [11]
11,68 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: 68:[37, 91, 65], Operations: ['6+59=65']
Exploring Operation: 91-65=26, Resulting Numbers: [37, 26]
Generated Node #0,1,0: 68:[37, 26] Operation: 91-65=26
Exploring Operation: 91-37=54, Resulting Numbers: [65, 54]
Generated Node #0,1,1: 68:[65, 54] Operation: 91-37=54
Exploring Operation: 37+65=102, Resulting Numbers: [91, 102]
Generated Node #0,1,2: 68:[91, 102] Operation: 37+65=102
Exploring Operation: 65-37=28, Resulting Numbers: [91, 28]
Generated Node #0,1,3: 68:[91, 28] Operation: 65-37=28
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[37, 26], Operations: ['6+59=65', '91-65=26']
Exploring Operation: 37+26=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Exploring Operation: 37*26=962, Resulting Numbers: [962]
962,68 unequal: No Solution
Exploring Operation: 37-26=11, Resulting Numbers: [11]
11,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[65, 54], Operations: ['6+59=65', '91-37=54']
Exploring Operation: 65*54=3510, Resulting Numbers: [3510]
3510,68 unequal: No Solution
Exploring Operation: 65+54=119, Resulting Numbers: [119]
119,68 unequal: No Solution
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 68:[91, 28], Operations: ['6+59=65', '65-37=28']
Exploring Operation: 91-28=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Exploring Operation: 91*28=2548, Resulting Numbers: [2548]
2548,68 unequal: No Solution
Exploring Operation: 91+28=119, Resulting Numbers: [119]
119,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 68:[91, 102], Operations: ['6+59=65', '37+65=102']
Exploring Operation: 91+102=193, Resulting Numbers: [193]
193,68 unequal: No Solution
Exploring Operation: 91*102=9282, Resulting Numbers: [9282]
9282,68 unequal: No Solution
Exploring Operation: 102-91=11, Resulting Numbers: [11]
11,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 68:[6, 5], Operations: ['91-37=54', '59-54=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,68 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,68 unequal: No Solution
Moving to Node #0,2,0
Current State: 68:[59, 9], Operations: ['91-37=54', '54/6=9']
Exploring Operation: 59*9=531, Resulting Numbers: [531]
531,68 unequal: No Solution
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,68 unequal: No Solution
Exploring Operation: 59+9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[37, 6, 59, 91], Operations: []
Exploring Operation: 91-37=54, Resulting Numbers: [6, 59, 54]
Generated Node #0,2: 68:[6, 59, 54] Operation: 91-37=54
Moving to Node #0,2
Current State: 68:[6, 59, 54], Operations: ['91-37=54']
Exploring Operation: 54/6=9, Resulting Numbers: [59, 9]
Generated Node #0,2,0: 68:[59, 9] Operation: 54/6=9
Moving to Node #0,2,0
Current State: 68:[59, 9], Operations: ['91-37=54', '54/6=9']
Exploring Operation: 59+9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.942708 | hs_4 | sum_heuristic |
[
30,
92,
43,
16
] | 89 | [
"92-30=62",
"43-16=27",
"62+27=89"
] | Current State: 89:[30, 92, 43, 16], Operations: []
Exploring Operation: 92-30=62, Resulting Numbers: [43, 16, 62]
Generated Node #2: [43, 16, 62] from Operation: 92-30=62
Current State: 89:[43, 16, 62], Operations: ['92-30=62']
Exploring Operation: 43-16=27, Resulting Numbers: [62, 27]
Generated Node #3: [62, 27] from Operation: 43-16=27
Current State: 89:[62, 27], Operations: ['92-30=62', '43-16=27']
Exploring Operation: 62+27=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[30, 92, 43, 16], Operations: []
Exploring Operation: 43+16=59, Resulting Numbers: [30, 92, 59]
Generated Node #0,0: 89:[30, 92, 59] Operation: 43+16=59
Exploring Operation: 30+16=46, Resulting Numbers: [92, 43, 46]
Generated Node #0,1: 89:[92, 43, 46] Operation: 30+16=46
Exploring Operation: 30+43=73, Resulting Numbers: [92, 16, 73]
Generated Node #0,2: 89:[92, 16, 73] Operation: 30+43=73
Moving to Node #0,0
Current State: 89:[30, 92, 59], Operations: ['43+16=59']
Exploring Operation: 30+59=89, Resulting Numbers: [92, 89]
Generated Node #0,0,0: 89:[92, 89] Operation: 30+59=89
Exploring Operation: 30+92=122, Resulting Numbers: [59, 122]
Generated Node #0,0,1: 89:[59, 122] Operation: 30+92=122
Exploring Operation: 92-30=62, Resulting Numbers: [59, 62]
Generated Node #0,0,2: 89:[59, 62] Operation: 92-30=62
Moving to Node #0,1
Current State: 89:[92, 43, 46], Operations: ['30+16=46']
Exploring Operation: 92-43=49, Resulting Numbers: [46, 49]
Generated Node #0,1,0: 89:[46, 49] Operation: 92-43=49
Exploring Operation: 43+46=89, Resulting Numbers: [92, 89]
Generated Node #0,1,1: 89:[92, 89] Operation: 43+46=89
Exploring Operation: 92+43=135, Resulting Numbers: [46, 135]
Generated Node #0,1,2: 89:[46, 135] Operation: 92+43=135
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[92, 89], Operations: ['30+16=46', '43+46=89']
Exploring Operation: 92-89=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 92*89=8188, Resulting Numbers: [8188]
8188,89 unequal: No Solution
Exploring Operation: 92+89=181, Resulting Numbers: [181]
181,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[46, 49], Operations: ['30+16=46', '92-43=49']
Exploring Operation: 46+49=95, Resulting Numbers: [95]
95,89 unequal: No Solution
Exploring Operation: 46*49=2254, Resulting Numbers: [2254]
2254,89 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 89:[46, 135], Operations: ['30+16=46', '92+43=135']
Exploring Operation: 46*135=6210, Resulting Numbers: [6210]
6210,89 unequal: No Solution
Exploring Operation: 135-46=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[30, 92, 43, 16], Operations: []
Exploring Operation: 30+16=46, Resulting Numbers: [92, 43, 46]
Generated Node #0,1: 89:[92, 43, 46] Operation: 30+16=46
Moving to Node #0,1
Current State: 89:[92, 43, 46], Operations: ['30+16=46']
Exploring Operation: 92+43=135, Resulting Numbers: [46, 135]
Generated Node #0,1,2: 89:[46, 135] Operation: 92+43=135
Moving to Node #0,1,2
Current State: 89:[46, 135], Operations: ['30+16=46', '92+43=135']
Exploring Operation: 135-46=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_3 | mult_heuristic |
[
16,
23,
75,
98
] | 16 | [
"16+23=39",
"98-75=23",
"39-23=16"
] | Current State: 16:[16, 23, 75, 98], Operations: []
Exploring Operation: 16+23=39, Resulting Numbers: [75, 98, 39]
Generated Node #2: [75, 98, 39] from Operation: 16+23=39
Current State: 16:[75, 98, 39], Operations: ['16+23=39']
Exploring Operation: 98-75=23, Resulting Numbers: [39, 23]
Generated Node #3: [39, 23] from Operation: 98-75=23
Current State: 16:[39, 23], Operations: ['16+23=39', '98-75=23']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[16, 23, 75, 98], Operations: []
Exploring Operation: 98-75=23, Resulting Numbers: [16, 23, 23]
Generated Node #0,0: 16:[16, 23, 23] Operation: 98-75=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[16, 23, 23], Operations: ['98-75=23']
Exploring Operation: 23/23=1, Resulting Numbers: [16, 1]
Generated Node #0,0,0: 16:[16, 1] Operation: 23/23=1
Moving to Node #0,0,0
Current State: 16:[16, 1], Operations: ['98-75=23', '23/23=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[16, 23, 75, 98], Operations: []
Exploring Operation: 98-75=23, Resulting Numbers: [16, 23, 23]
Generated Node #0,0: 16:[16, 23, 23] Operation: 98-75=23
Moving to Node #0,0
Current State: 16:[16, 23, 23], Operations: ['98-75=23']
Exploring Operation: 23/23=1, Resulting Numbers: [16, 1]
Generated Node #0,0,0: 16:[16, 1] Operation: 23/23=1
Moving to Node #0,0,0
Current State: 16:[16, 1], Operations: ['98-75=23', '23/23=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
14,
19,
31,
11
] | 100 | [
"19-14=5",
"31-11=20",
"5*20=100"
] | Current State: 100:[14, 19, 31, 11], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [31, 11, 5]
Generated Node #2: [31, 11, 5] from Operation: 19-14=5
Current State: 100:[31, 11, 5], Operations: ['19-14=5']
Exploring Operation: 31-11=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 31-11=20
Current State: 100:[5, 20], Operations: ['19-14=5', '31-11=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[14, 19, 31, 11], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [19, 11, 17]
Generated Node #0,0: 100:[19, 11, 17] Operation: 31-14=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[19, 11, 17], Operations: ['31-14=17']
Exploring Operation: 19-17=2, Resulting Numbers: [11, 2]
Generated Node #0,0,0: 100:[11, 2] Operation: 19-17=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[11, 2], Operations: ['31-14=17', '19-17=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
55,
78,
32,
41
] | 82 | [
"78+32=110",
"110/55=2",
"41*2=82"
] | Current State: 82:[55, 78, 32, 41], Operations: []
Exploring Operation: 78+32=110, Resulting Numbers: [55, 41, 110]
Generated Node #2: [55, 41, 110] from Operation: 78+32=110
Current State: 82:[55, 41, 110], Operations: ['78+32=110']
Exploring Operation: 110/55=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 110/55=2
Current State: 82:[41, 2], Operations: ['78+32=110', '110/55=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[55, 78, 32, 41], Operations: []
Exploring Operation: 55-32=23, Resulting Numbers: [78, 41, 23]
Generated Node #0,0: 82:[78, 41, 23] Operation: 55-32=23
Exploring Operation: 78-32=46, Resulting Numbers: [55, 41, 46]
Generated Node #0,1: 82:[55, 41, 46] Operation: 78-32=46
Exploring Operation: 55-41=14, Resulting Numbers: [78, 32, 14]
Generated Node #0,2: 82:[78, 32, 14] Operation: 55-41=14
Exploring Operation: 41-32=9, Resulting Numbers: [55, 78, 9]
Generated Node #0,3: 82:[55, 78, 9] Operation: 41-32=9
Exploring Operation: 55+32=87, Resulting Numbers: [78, 41, 87]
Generated Node #0,4: 82:[78, 41, 87] Operation: 55+32=87
Moving to Node #0,4
Current State: 82:[78, 41, 87], Operations: ['55+32=87']
Exploring Operation: 41+87=128, Resulting Numbers: [78, 128]
Generated Node #0,4,0: 82:[78, 128] Operation: 41+87=128
Exploring Operation: 87-78=9, Resulting Numbers: [41, 9]
Generated Node #0,4,1: 82:[41, 9] Operation: 87-78=9
Exploring Operation: 78+41=119, Resulting Numbers: [87, 119]
Generated Node #0,4,2: 82:[87, 119] Operation: 78+41=119
Exploring Operation: 87-41=46, Resulting Numbers: [78, 46]
Generated Node #0,4,3: 82:[78, 46] Operation: 87-41=46
Exploring Operation: 78-41=37, Resulting Numbers: [87, 37]
Generated Node #0,4,4: 82:[87, 37] Operation: 78-41=37
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 82:[41, 9], Operations: ['55+32=87', '87-78=9']
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 41*9=369, Resulting Numbers: [369]
369,82 unequal: No Solution
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,82 unequal: No Solution
No 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: 82:[78, 46], Operations: ['55+32=87', '87-41=46']
Exploring Operation: 78+46=124, Resulting Numbers: [124]
124,82 unequal: No Solution
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Exploring Operation: 78*46=3588, Resulting Numbers: [3588]
3588,82 unequal: No Solution
No 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: 82:[87, 37], Operations: ['55+32=87', '78-41=37']
Exploring Operation: 87*37=3219, Resulting Numbers: [3219]
3219,82 unequal: No Solution
Exploring Operation: 87+37=124, Resulting Numbers: [124]
124,82 unequal: No Solution
Exploring Operation: 87-37=50, Resulting Numbers: [50]
50,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 82:[87, 119], Operations: ['55+32=87', '78+41=119']
Exploring Operation: 87*119=10353, Resulting Numbers: [10353]
10353,82 unequal: No Solution
Exploring Operation: 119-87=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Exploring Operation: 87+119=206, Resulting Numbers: [206]
206,82 unequal: No Solution
No 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: 82:[78, 128], Operations: ['55+32=87', '41+87=128']
Exploring Operation: 128-78=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 78*128=9984, Resulting Numbers: [9984]
9984,82 unequal: No Solution
Exploring Operation: 78+128=206, Resulting Numbers: [206]
206,82 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: 82:[55, 41, 46], Operations: ['78-32=46']
Exploring Operation: 46-41=5, Resulting Numbers: [55, 5]
Generated Node #0,1,0: 82:[55, 5] Operation: 46-41=5
Exploring Operation: 55+41=96, Resulting Numbers: [46, 96]
Generated Node #0,1,1: 82:[46, 96] Operation: 55+41=96
Exploring Operation: 55+46=101, Resulting Numbers: [41, 101]
Generated Node #0,1,2: 82:[41, 101] Operation: 55+46=101
Exploring Operation: 55-41=14, Resulting Numbers: [46, 14]
Generated Node #0,1,3: 82:[46, 14] Operation: 55-41=14
Exploring Operation: 55-46=9, Resulting Numbers: [41, 9]
Generated Node #0,1,4: 82:[41, 9] Operation: 55-46=9
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 82:[41, 9], Operations: ['78-32=46', '55-46=9']
Exploring Operation: 41*9=369, Resulting Numbers: [369]
369,82 unequal: No Solution
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,82 unequal: No Solution
No solution 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: 82:[55, 5], Operations: ['78-32=46', '46-41=5']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 55*5=275, Resulting Numbers: [275]
275,82 unequal: No Solution
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,82 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,82 unequal: No Solution
No solution 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: 82:[46, 14], Operations: ['78-32=46', '55-41=14']
Exploring Operation: 46+14=60, Resulting Numbers: [60]
60,82 unequal: No Solution
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Exploring Operation: 46*14=644, Resulting Numbers: [644]
644,82 unequal: No Solution
No solution 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: 82:[46, 96], Operations: ['78-32=46', '55+41=96']
Exploring Operation: 46+96=142, Resulting Numbers: [142]
142,82 unequal: No Solution
Exploring Operation: 96-46=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 46*96=4416, Resulting Numbers: [4416]
4416,82 unequal: No Solution
No solution 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: 82:[41, 101], Operations: ['78-32=46', '55+46=101']
Exploring Operation: 41+101=142, Resulting Numbers: [142]
142,82 unequal: No Solution
Exploring Operation: 41*101=4141, Resulting Numbers: [4141]
4141,82 unequal: No Solution
Exploring Operation: 101-41=60, Resulting Numbers: [60]
60,82 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: 82:[78, 41, 23], Operations: ['55-32=23']
Exploring Operation: 78+23=101, Resulting Numbers: [41, 101]
Generated Node #0,0,0: 82:[41, 101] Operation: 78+23=101
Exploring Operation: 41-23=18, Resulting Numbers: [78, 18]
Generated Node #0,0,1: 82:[78, 18] Operation: 41-23=18
Exploring Operation: 78-41=37, Resulting Numbers: [23, 37]
Generated Node #0,0,2: 82:[23, 37] Operation: 78-41=37
Exploring Operation: 78-23=55, Resulting Numbers: [41, 55]
Generated Node #0,0,3: 82:[41, 55] Operation: 78-23=55
Exploring Operation: 41+23=64, Resulting Numbers: [78, 64]
Generated Node #0,0,4: 82:[78, 64] Operation: 41+23=64
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 82:[41, 55], Operations: ['55-32=23', '78-23=55']
Exploring Operation: 41*55=2255, Resulting Numbers: [2255]
2255,82 unequal: No Solution
Exploring Operation: 41+55=96, Resulting Numbers: [96]
96,82 unequal: No Solution
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,82 unequal: No Solution
No 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: 82:[41, 101], Operations: ['55-32=23', '78+23=101']
Exploring Operation: 41+101=142, Resulting Numbers: [142]
142,82 unequal: No Solution
Exploring Operation: 41*101=4141, Resulting Numbers: [4141]
4141,82 unequal: No Solution
Exploring Operation: 101-41=60, Resulting Numbers: [60]
60,82 unequal: No Solution
No 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: 82:[78, 18], Operations: ['55-32=23', '41-23=18']
Exploring Operation: 78*18=1404, Resulting Numbers: [1404]
1404,82 unequal: No Solution
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,82 unequal: No Solution
Exploring Operation: 78+18=96, Resulting Numbers: [96]
96,82 unequal: No Solution
No 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: 82:[23, 37], Operations: ['55-32=23', '78-41=37']
Exploring Operation: 23*37=851, Resulting Numbers: [851]
851,82 unequal: No Solution
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,82 unequal: No Solution
Exploring Operation: 23+37=60, Resulting Numbers: [60]
60,82 unequal: No Solution
No 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: 82:[78, 64], Operations: ['55-32=23', '41+23=64']
Exploring Operation: 78*64=4992, Resulting Numbers: [4992]
4992,82 unequal: No Solution
Exploring Operation: 78+64=142, Resulting Numbers: [142]
142,82 unequal: No Solution
Exploring Operation: 78-64=14, Resulting Numbers: [14]
14,82 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: 82:[78, 32, 14], Operations: ['55-41=14']
Exploring Operation: 78+14=92, Resulting Numbers: [32, 92]
Generated Node #0,2,0: 82:[32, 92] Operation: 78+14=92
Exploring Operation: 78-14=64, Resulting Numbers: [32, 64]
Generated Node #0,2,1: 82:[32, 64] Operation: 78-14=64
Exploring Operation: 78-32=46, Resulting Numbers: [14, 46]
Generated Node #0,2,2: 82:[14, 46] Operation: 78-32=46
Exploring Operation: 32-14=18, Resulting Numbers: [78, 18]
Generated Node #0,2,3: 82:[78, 18] Operation: 32-14=18
Exploring Operation: 32+14=46, Resulting Numbers: [78, 46]
Generated Node #0,2,4: 82:[78, 46] Operation: 32+14=46
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 82:[78, 46], Operations: ['55-41=14', '32+14=46']
Exploring Operation: 78+46=124, Resulting Numbers: [124]
124,82 unequal: No Solution
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Exploring Operation: 78*46=3588, Resulting Numbers: [3588]
3588,82 unequal: No Solution
No 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: 82:[14, 46], Operations: ['55-41=14', '78-32=46']
Exploring Operation: 14*46=644, Resulting Numbers: [644]
644,82 unequal: No Solution
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Exploring Operation: 14+46=60, Resulting Numbers: [60]
60,82 unequal: No Solution
No 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: 82:[32, 92], Operations: ['55-41=14', '78+14=92']
Exploring Operation: 92-32=60, Resulting Numbers: [60]
60,82 unequal: No Solution
Exploring Operation: 32*92=2944, Resulting Numbers: [2944]
2944,82 unequal: No Solution
Exploring Operation: 32+92=124, Resulting Numbers: [124]
124,82 unequal: No Solution
No 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: 82:[78, 18], Operations: ['55-41=14', '32-14=18']
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,82 unequal: No Solution
Exploring Operation: 78*18=1404, Resulting Numbers: [1404]
1404,82 unequal: No Solution
Exploring Operation: 78+18=96, Resulting Numbers: [96]
96,82 unequal: No Solution
No 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: 82:[32, 64], Operations: ['55-41=14', '78-14=64']
Exploring Operation: 32+64=96, Resulting Numbers: [96]
96,82 unequal: No Solution
Exploring Operation: 32*64=2048, Resulting Numbers: [2048]
2048,82 unequal: No Solution
Exploring Operation: 64/32=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Exploring Operation: 64-32=32, Resulting Numbers: [32]
32,82 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: 82:[55, 78, 9], Operations: ['41-32=9']
Exploring Operation: 78-55=23, Resulting Numbers: [9, 23]
Generated Node #0,3,0: 82:[9, 23] Operation: 78-55=23
Exploring Operation: 78-9=69, Resulting Numbers: [55, 69]
Generated Node #0,3,1: 82:[55, 69] Operation: 78-9=69
Exploring Operation: 55-9=46, Resulting Numbers: [78, 46]
Generated Node #0,3,2: 82:[78, 46] Operation: 55-9=46
Exploring Operation: 55+9=64, Resulting Numbers: [78, 64]
Generated Node #0,3,3: 82:[78, 64] Operation: 55+9=64
Exploring Operation: 78+9=87, Resulting Numbers: [55, 87]
Generated Node #0,3,4: 82:[55, 87] Operation: 78+9=87
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 82:[78, 46], Operations: ['41-32=9', '55-9=46']
Exploring Operation: 78*46=3588, Resulting Numbers: [3588]
3588,82 unequal: No Solution
Exploring Operation: 78+46=124, Resulting Numbers: [124]
124,82 unequal: No Solution
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,82 unequal: No Solution
No 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: 82:[55, 87], Operations: ['41-32=9', '78+9=87']
Exploring Operation: 55+87=142, Resulting Numbers: [142]
142,82 unequal: No Solution
Exploring Operation: 87-55=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Exploring Operation: 55*87=4785, Resulting Numbers: [4785]
4785,82 unequal: No Solution
No 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: 82:[78, 64], Operations: ['41-32=9', '55+9=64']
Exploring Operation: 78+64=142, Resulting Numbers: [142]
142,82 unequal: No Solution
Exploring Operation: 78*64=4992, Resulting Numbers: [4992]
4992,82 unequal: No Solution
Exploring Operation: 78-64=14, Resulting Numbers: [14]
14,82 unequal: No Solution
No 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: 82:[9, 23], Operations: ['41-32=9', '78-55=23']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,82 unequal: No Solution
Exploring Operation: 9*23=207, Resulting Numbers: [207]
207,82 unequal: No Solution
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,82 unequal: No Solution
No 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: 82:[55, 69], Operations: ['41-32=9', '78-9=69']
Exploring Operation: 55*69=3795, Resulting Numbers: [3795]
3795,82 unequal: No Solution
Exploring Operation: 69-55=14, Resulting Numbers: [14]
14,82 unequal: No Solution
Exploring Operation: 55+69=124, Resulting Numbers: [124]
124,82 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 |
[
73,
52,
22,
88
] | 87 | [
"73-52=21",
"88-22=66",
"21+66=87"
] | Current State: 87:[73, 52, 22, 88], Operations: []
Exploring Operation: 73-52=21, Resulting Numbers: [22, 88, 21]
Generated Node #2: [22, 88, 21] from Operation: 73-52=21
Current State: 87:[22, 88, 21], Operations: ['73-52=21']
Exploring Operation: 88-22=66, Resulting Numbers: [21, 66]
Generated Node #3: [21, 66] from Operation: 88-22=66
Current State: 87:[21, 66], Operations: ['73-52=21', '88-22=66']
Exploring Operation: 21+66=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[73, 52, 22, 88], Operations: []
Exploring Operation: 52-22=30, Resulting Numbers: [73, 88, 30]
Generated Node #0,0: 87:[73, 88, 30] Operation: 52-22=30
Exploring Operation: 73-52=21, Resulting Numbers: [22, 88, 21]
Generated Node #0,1: 87:[22, 88, 21] Operation: 73-52=21
Moving to Node #0,0
Current State: 87:[73, 88, 30], Operations: ['52-22=30']
Exploring Operation: 73-30=43, Resulting Numbers: [88, 43]
Generated Node #0,0,0: 87:[88, 43] Operation: 73-30=43
Exploring Operation: 88-73=15, Resulting Numbers: [30, 15]
Generated Node #0,0,1: 87:[30, 15] Operation: 88-73=15
Moving to Node #0,1
Current State: 87:[22, 88, 21], Operations: ['73-52=21']
Exploring Operation: 88/22=4, Resulting Numbers: [21, 4]
Generated Node #0,1,0: 87:[21, 4] Operation: 88/22=4
Exploring Operation: 22-21=1, Resulting Numbers: [88, 1]
Generated Node #0,1,1: 87:[88, 1] Operation: 22-21=1
Moving to Node #0,1,1
Current State: 87:[88, 1], Operations: ['73-52=21', '22-21=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,87 unequal: No Solution
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[73, 52, 22, 88], Operations: []
Exploring Operation: 73-52=21, Resulting Numbers: [22, 88, 21]
Generated Node #0,1: 87:[22, 88, 21] Operation: 73-52=21
Moving to Node #0,1
Current State: 87:[22, 88, 21], Operations: ['73-52=21']
Exploring Operation: 22-21=1, Resulting Numbers: [88, 1]
Generated Node #0,1,1: 87:[88, 1] Operation: 22-21=1
Moving to Node #0,1,1
Current State: 87:[88, 1], Operations: ['73-52=21', '22-21=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
14,
90,
25,
58
] | 20 | [
"14+58=72",
"25*72=1800",
"1800/90=20"
] | Current State: 20:[14, 90, 25, 58], Operations: []
Exploring Operation: 14+58=72, Resulting Numbers: [90, 25, 72]
Generated Node #2: [90, 25, 72] from Operation: 14+58=72
Current State: 20:[90, 25, 72], Operations: ['14+58=72']
Exploring Operation: 25*72=1800, Resulting Numbers: [90, 1800]
Generated Node #3: [90, 1800] from Operation: 25*72=1800
Current State: 20:[90, 1800], Operations: ['14+58=72', '25*72=1800']
Exploring Operation: 1800/90=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[14, 90, 25, 58], Operations: []
Exploring Operation: 90-14=76, Resulting Numbers: [25, 58, 76]
Generated Node #0,0: 20:[25, 58, 76] Operation: 90-14=76
Exploring Operation: 90-25=65, Resulting Numbers: [14, 58, 65]
Generated Node #0,1: 20:[14, 58, 65] Operation: 90-25=65
Exploring Operation: 58-25=33, Resulting Numbers: [14, 90, 33]
Generated Node #0,2: 20:[14, 90, 33] Operation: 58-25=33
Exploring Operation: 58-14=44, Resulting Numbers: [90, 25, 44]
Generated Node #0,3: 20:[90, 25, 44] Operation: 58-14=44
Exploring Operation: 90-58=32, Resulting Numbers: [14, 25, 32]
Generated Node #0,4: 20:[14, 25, 32] Operation: 90-58=32
Start Sub Search at level 1: Moving to Node #0,4
Current State: 20:[14, 25, 32], Operations: ['90-58=32']
Exploring Operation: 25-14=11, Resulting Numbers: [32, 11]
Generated Node #0,4,0: 20:[32, 11] Operation: 25-14=11
Exploring Operation: 14+32=46, Resulting Numbers: [25, 46]
Generated Node #0,4,1: 20:[25, 46] Operation: 14+32=46
Exploring Operation: 32-14=18, Resulting Numbers: [25, 18]
Generated Node #0,4,2: 20:[25, 18] Operation: 32-14=18
Exploring Operation: 14+25=39, Resulting Numbers: [32, 39]
Generated Node #0,4,3: 20:[32, 39] Operation: 14+25=39
Exploring Operation: 32-25=7, Resulting Numbers: [14, 7]
Generated Node #0,4,4: 20:[14, 7] Operation: 32-25=7
Moving to Node #0,4,4
Current State: 20:[14, 7], Operations: ['90-58=32', '32-25=7']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,20 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Moving to Node #0,4,2
Current State: 20:[25, 18], Operations: ['90-58=32', '32-14=18']
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,20 unequal: No Solution
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,20 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Moving to Node #0,4,0
Current State: 20:[32, 11], Operations: ['90-58=32', '25-14=11']
Exploring Operation: 32*11=352, Resulting Numbers: [352]
352,20 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,20 unequal: No Solution
Moving to Node #0,4,1
Current State: 20:[25, 46], Operations: ['90-58=32', '14+32=46']
Exploring Operation: 25*46=1150, Resulting Numbers: [1150]
1150,20 unequal: No Solution
Exploring Operation: 25+46=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Moving to Node #0,4,3
Current State: 20:[32, 39], Operations: ['90-58=32', '14+25=39']
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 32+39=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 32*39=1248, Resulting Numbers: [1248]
1248,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[14, 58, 65], Operations: ['90-25=65']
Exploring Operation: 65-14=51, Resulting Numbers: [58, 51]
Generated Node #0,1,0: 20:[58, 51] Operation: 65-14=51
Exploring Operation: 58-14=44, Resulting Numbers: [65, 44]
Generated Node #0,1,1: 20:[65, 44] Operation: 58-14=44
Exploring Operation: 65-58=7, Resulting Numbers: [14, 7]
Generated Node #0,1,2: 20:[14, 7] Operation: 65-58=7
Exploring Operation: 14+65=79, Resulting Numbers: [58, 79]
Generated Node #0,1,3: 20:[58, 79] Operation: 14+65=79
Exploring Operation: 14+58=72, Resulting Numbers: [65, 72]
Generated Node #0,1,4: 20:[65, 72] Operation: 14+58=72
Moving to Node #0,1,2
Current State: 20:[14, 7], Operations: ['90-25=65', '65-58=7']
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[65, 44], Operations: ['90-25=65', '58-14=44']
Exploring Operation: 65+44=109, Resulting Numbers: [109]
109,20 unequal: No Solution
Exploring Operation: 65*44=2860, Resulting Numbers: [2860]
2860,20 unequal: No Solution
Exploring Operation: 65-44=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[58, 51], Operations: ['90-25=65', '65-14=51']
Exploring Operation: 58-51=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 58*51=2958, Resulting Numbers: [2958]
2958,20 unequal: No Solution
Exploring Operation: 58+51=109, Resulting Numbers: [109]
109,20 unequal: No Solution
Moving to Node #0,1,3
Current State: 20:[58, 79], Operations: ['90-25=65', '14+65=79']
Exploring Operation: 79-58=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 58+79=137, Resulting Numbers: [137]
137,20 unequal: No Solution
Exploring Operation: 58*79=4582, Resulting Numbers: [4582]
4582,20 unequal: No Solution
Moving to Node #0,1,4
Current State: 20:[65, 72], Operations: ['90-25=65', '14+58=72']
Exploring Operation: 65+72=137, Resulting Numbers: [137]
137,20 unequal: No Solution
Exploring Operation: 65*72=4680, Resulting Numbers: [4680]
4680,20 unequal: No Solution
Exploring Operation: 72-65=7, Resulting Numbers: [7]
7,20 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 #0,2
Current State: 20:[14, 90, 33], Operations: ['58-25=33']
Exploring Operation: 14+90=104, Resulting Numbers: [33, 104]
Generated Node #0,2,0: 20:[33, 104] Operation: 14+90=104
Exploring Operation: 90-33=57, Resulting Numbers: [14, 57]
Generated Node #0,2,1: 20:[14, 57] Operation: 90-33=57
Exploring Operation: 14+33=47, Resulting Numbers: [90, 47]
Generated Node #0,2,2: 20:[90, 47] Operation: 14+33=47
Exploring Operation: 33-14=19, Resulting Numbers: [90, 19]
Generated Node #0,2,3: 20:[90, 19] Operation: 33-14=19
Exploring Operation: 90-14=76, Resulting Numbers: [33, 76]
Generated Node #0,2,4: 20:[33, 76] Operation: 90-14=76
Moving to Node #0,2,1
Current State: 20:[14, 57], Operations: ['58-25=33', '90-33=57']
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,20 unequal: No Solution
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 14*57=798, Resulting Numbers: [798]
798,20 unequal: No Solution
Moving to Node #0,2,4
Current State: 20:[33, 76], Operations: ['58-25=33', '90-14=76']
Exploring Operation: 33+76=109, Resulting Numbers: [109]
109,20 unequal: No Solution
Exploring Operation: 76-33=43, Resulting Numbers: [43]
43,20 unequal: No Solution
Exploring Operation: 33*76=2508, Resulting Numbers: [2508]
2508,20 unequal: No Solution
Moving to Node #0,2,3
Current State: 20:[90, 19], Operations: ['58-25=33', '33-14=19']
Exploring Operation: 90-19=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 90*19=1710, Resulting Numbers: [1710]
1710,20 unequal: No Solution
Exploring Operation: 90+19=109, Resulting Numbers: [109]
109,20 unequal: No Solution
Moving to Node #0,2,0
Current State: 20:[33, 104], Operations: ['58-25=33', '14+90=104']
Exploring Operation: 33*104=3432, Resulting Numbers: [3432]
3432,20 unequal: No Solution
Exploring Operation: 33+104=137, Resulting Numbers: [137]
137,20 unequal: No Solution
Exploring Operation: 104-33=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Moving to Node #0,2,2
Current State: 20:[90, 47], Operations: ['58-25=33', '14+33=47']
Exploring Operation: 90+47=137, Resulting Numbers: [137]
137,20 unequal: No Solution
Exploring Operation: 90*47=4230, Resulting Numbers: [4230]
4230,20 unequal: No Solution
Exploring Operation: 90-47=43, Resulting Numbers: [43]
43,20 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
Current State: 20:[25, 58, 76], Operations: ['90-14=76']
Exploring Operation: 58-25=33, Resulting Numbers: [76, 33]
Generated Node #0,0,0: 20:[76, 33] Operation: 58-25=33
Exploring Operation: 76-58=18, Resulting Numbers: [25, 18]
Generated Node #0,0,1: 20:[25, 18] Operation: 76-58=18
Exploring Operation: 25+76=101, Resulting Numbers: [58, 101]
Generated Node #0,0,2: 20:[58, 101] Operation: 25+76=101
Exploring Operation: 76-25=51, Resulting Numbers: [58, 51]
Generated Node #0,0,3: 20:[58, 51] Operation: 76-25=51
Exploring Operation: 25+58=83, Resulting Numbers: [76, 83]
Generated Node #0,0,4: 20:[76, 83] Operation: 25+58=83
Moving to Node #0,0,1
Current State: 20:[25, 18], Operations: ['90-14=76', '76-58=18']
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,20 unequal: No Solution
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,20 unequal: No Solution
Moving to Node #0,0,3
Current State: 20:[58, 51], Operations: ['90-14=76', '76-25=51']
Exploring Operation: 58*51=2958, Resulting Numbers: [2958]
2958,20 unequal: No Solution
Exploring Operation: 58-51=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 58+51=109, Resulting Numbers: [109]
109,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[76, 33], Operations: ['90-14=76', '58-25=33']
Exploring Operation: 76-33=43, Resulting Numbers: [43]
43,20 unequal: No Solution
Exploring Operation: 76*33=2508, Resulting Numbers: [2508]
2508,20 unequal: No Solution
Exploring Operation: 76+33=109, Resulting Numbers: [109]
109,20 unequal: No Solution
Moving to Node #0,0,2
Current State: 20:[58, 101], Operations: ['90-14=76', '25+76=101']
Exploring Operation: 58*101=5858, Resulting Numbers: [5858]
5858,20 unequal: No Solution
Exploring Operation: 58+101=159, Resulting Numbers: [159]
159,20 unequal: No Solution
Exploring Operation: 101-58=43, Resulting Numbers: [43]
43,20 unequal: No Solution
Moving to Node #0,0,4
Current State: 20:[76, 83], Operations: ['90-14=76', '25+58=83']
Exploring Operation: 83-76=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 76*83=6308, Resulting Numbers: [6308]
6308,20 unequal: No Solution
Exploring Operation: 76+83=159, Resulting Numbers: [159]
159,20 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 #0,3
Current State: 20:[90, 25, 44], Operations: ['58-14=44']
Exploring Operation: 90+25=115, Resulting Numbers: [44, 115]
Generated Node #0,3,0: 20:[44, 115] Operation: 90+25=115
Exploring Operation: 90-44=46, Resulting Numbers: [25, 46]
Generated Node #0,3,1: 20:[25, 46] Operation: 90-44=46
Exploring Operation: 90-25=65, Resulting Numbers: [44, 65]
Generated Node #0,3,2: 20:[44, 65] Operation: 90-25=65
Exploring Operation: 90+44=134, Resulting Numbers: [25, 134]
Generated Node #0,3,3: 20:[25, 134] Operation: 90+44=134
Exploring Operation: 44-25=19, Resulting Numbers: [90, 19]
Generated Node #0,3,4: 20:[90, 19] Operation: 44-25=19
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 20:[25, 46], Operations: ['58-14=44', '90-44=46']
Exploring Operation: 25+46=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 25*46=1150, Resulting Numbers: [1150]
1150,20 unequal: No Solution
No 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: 20:[44, 65], Operations: ['58-14=44', '90-25=65']
Exploring Operation: 44+65=109, Resulting Numbers: [109]
109,20 unequal: No Solution
Exploring Operation: 44*65=2860, Resulting Numbers: [2860]
2860,20 unequal: No Solution
Exploring Operation: 65-44=21, Resulting Numbers: [21]
21,20 unequal: No Solution
No 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: 20:[90, 19], Operations: ['58-14=44', '44-25=19']
Exploring Operation: 90+19=109, Resulting Numbers: [109]
109,20 unequal: No Solution
Exploring Operation: 90-19=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 90*19=1710, Resulting Numbers: [1710]
1710,20 unequal: No Solution
No 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: 20:[44, 115], Operations: ['58-14=44', '90+25=115']
Exploring Operation: 44+115=159, Resulting Numbers: [159]
159,20 unequal: No Solution
Exploring Operation: 115-44=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 44*115=5060, Resulting Numbers: [5060]
5060,20 unequal: No Solution
No 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: 20:[25, 134], Operations: ['58-14=44', '90+44=134']
Exploring Operation: 25*134=3350, Resulting Numbers: [3350]
3350,20 unequal: No Solution
Exploring Operation: 134-25=109, Resulting Numbers: [109]
109,20 unequal: No Solution
Exploring Operation: 25+134=159, Resulting Numbers: [159]
159,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
80,
39,
97,
77
] | 20 | [
"80-77=3",
"39*3=117",
"117-97=20"
] | Current State: 20:[80, 39, 97, 77], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [39, 97, 3]
Generated Node #2: [39, 97, 3] from Operation: 80-77=3
Current State: 20:[39, 97, 3], Operations: ['80-77=3']
Exploring Operation: 39*3=117, Resulting Numbers: [97, 117]
Generated Node #3: [97, 117] from Operation: 39*3=117
Current State: 20:[97, 117], Operations: ['80-77=3', '39*3=117']
Exploring Operation: 117-97=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[80, 39, 97, 77], Operations: []
Exploring Operation: 97-77=20, Resulting Numbers: [80, 39, 20]
Generated Node #0,0: 20:[80, 39, 20] Operation: 97-77=20
Exploring Operation: 97-80=17, Resulting Numbers: [39, 77, 17]
Generated Node #0,1: 20:[39, 77, 17] Operation: 97-80=17
Moving to Node #0,0
Current State: 20:[80, 39, 20], Operations: ['97-77=20']
Exploring Operation: 80-39=41, Resulting Numbers: [20, 41]
Generated Node #0,0,0: 20:[20, 41] Operation: 80-39=41
Exploring Operation: 80/20=4, Resulting Numbers: [39, 4]
Generated Node #0,0,1: 20:[39, 4] Operation: 80/20=4
Moving to Node #0,1
Current State: 20:[39, 77, 17], Operations: ['97-80=17']
Exploring Operation: 77-39=38, Resulting Numbers: [17, 38]
Generated Node #0,1,0: 20:[17, 38] Operation: 77-39=38
Exploring Operation: 39-17=22, Resulting Numbers: [77, 22]
Generated Node #0,1,1: 20:[77, 22] Operation: 39-17=22
Moving to Node #0,0,1
Current State: 20:[39, 4], Operations: ['97-77=20', '80/20=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,20 unequal: No Solution
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[17, 38], Operations: ['97-80=17', '77-39=38']
Exploring Operation: 17+38=55, Resulting Numbers: [55]
55,20 unequal: No Solution
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[20, 41], Operations: ['97-77=20', '80-39=41']
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 20+41=61, Resulting Numbers: [61]
61,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[77, 22], Operations: ['97-80=17', '39-17=22']
Exploring Operation: 77+22=99, Resulting Numbers: [99]
99,20 unequal: No Solution
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,20 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
26,
98,
65,
96
] | 37 | [
"26+98=124",
"65+96=161",
"161-124=37"
] | Current State: 37:[26, 98, 65, 96], Operations: []
Exploring Operation: 26+98=124, Resulting Numbers: [65, 96, 124]
Generated Node #2: [65, 96, 124] from Operation: 26+98=124
Current State: 37:[65, 96, 124], Operations: ['26+98=124']
Exploring Operation: 65+96=161, Resulting Numbers: [124, 161]
Generated Node #3: [124, 161] from Operation: 65+96=161
Current State: 37:[124, 161], Operations: ['26+98=124', '65+96=161']
Exploring Operation: 161-124=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[26, 98, 65, 96], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [26, 96, 33]
Generated Node #0,0: 37:[26, 96, 33] Operation: 98-65=33
Exploring Operation: 65-26=39, Resulting Numbers: [98, 96, 39]
Generated Node #0,1: 37:[98, 96, 39] Operation: 65-26=39
Exploring Operation: 98-96=2, Resulting Numbers: [26, 65, 2]
Generated Node #0,2: 37:[26, 65, 2] Operation: 98-96=2
Exploring Operation: 98-26=72, Resulting Numbers: [65, 96, 72]
Generated Node #0,3: 37:[65, 96, 72] Operation: 98-26=72
Exploring Operation: 96-65=31, Resulting Numbers: [26, 98, 31]
Generated Node #0,4: 37:[26, 98, 31] Operation: 96-65=31
Moving to Node #0,0
Current State: 37:[26, 96, 33], Operations: ['98-65=33']
Exploring Operation: 33-26=7, Resulting Numbers: [96, 7]
Generated Node #0,0,0: 37:[96, 7] Operation: 33-26=7
Exploring Operation: 26+96=122, Resulting Numbers: [33, 122]
Generated Node #0,0,1: 37:[33, 122] Operation: 26+96=122
Exploring Operation: 96-26=70, Resulting Numbers: [33, 70]
Generated Node #0,0,2: 37:[33, 70] Operation: 96-26=70
Exploring Operation: 26+33=59, Resulting Numbers: [96, 59]
Generated Node #0,0,3: 37:[96, 59] Operation: 26+33=59
Exploring Operation: 96-33=63, Resulting Numbers: [26, 63]
Generated Node #0,0,4: 37:[26, 63] Operation: 96-33=63
Moving to Node #0,2
Current State: 37:[26, 65, 2], Operations: ['98-96=2']
Exploring Operation: 65-26=39, Resulting Numbers: [2, 39]
Generated Node #0,2,0: 37:[2, 39] Operation: 65-26=39
Exploring Operation: 65+2=67, Resulting Numbers: [26, 67]
Generated Node #0,2,1: 37:[26, 67] Operation: 65+2=67
Exploring Operation: 65-2=63, Resulting Numbers: [26, 63]
Generated Node #0,2,2: 37:[26, 63] Operation: 65-2=63
Exploring Operation: 26+2=28, Resulting Numbers: [65, 28]
Generated Node #0,2,3: 37:[65, 28] Operation: 26+2=28
Exploring Operation: 26-2=24, Resulting Numbers: [65, 24]
Generated Node #0,2,4: 37:[65, 24] Operation: 26-2=24
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 37:[2, 39], Operations: ['98-96=2', '65-26=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,37 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[26, 98, 65, 96], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [26, 65, 2]
Generated Node #0,2: 37:[26, 65, 2] Operation: 98-96=2
Moving to Node #0,2
Current State: 37:[26, 65, 2], Operations: ['98-96=2']
Exploring Operation: 65-26=39, Resulting Numbers: [2, 39]
Generated Node #0,2,0: 37:[2, 39] Operation: 65-26=39
Moving to Node #0,2,0
Current State: 37:[2, 39], Operations: ['98-96=2', '65-26=39']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
74,
3,
89,
3
] | 21 | [
"74-3=71",
"89+3=92",
"92-71=21"
] | Current State: 21:[74, 3, 89, 3], Operations: []
Exploring Operation: 74-3=71, Resulting Numbers: [89, 71]
Generated Node #2: [89, 71] from Operation: 74-3=71
Current State: 21:[89, 71], Operations: ['74-3=71']
Exploring Operation: 89+3=92, Resulting Numbers: [71, 92]
Generated Node #3: [71, 92] from Operation: 89+3=92
Current State: 21:[71, 92], Operations: ['74-3=71', '89+3=92']
Exploring Operation: 92-71=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[74, 3, 89, 3], Operations: []
Exploring Operation: 74-3=71, Resulting Numbers: [89, 3, 71]
Generated Node #0,0: 21:[89, 3, 71] Operation: 74-3=71
Exploring Operation: 74-3=71, Resulting Numbers: [3, 89, 71]
Generated Node #0,1: 21:[3, 89, 71] Operation: 74-3=71
Exploring Operation: 89-3=86, Resulting Numbers: [74, 3, 86]
Generated Node #0,2: 21:[74, 3, 86] Operation: 89-3=86
Exploring Operation: 89-74=15, Resulting Numbers: [3, 3, 15]
Generated Node #0,3: 21:[3, 3, 15] Operation: 89-74=15
Moving to Node #0,3
Current State: 21:[3, 3, 15], Operations: ['89-74=15']
Exploring Operation: 15/3=5, Resulting Numbers: [3, 5]
Generated Node #0,3,0: 21:[3, 5] Operation: 15/3=5
Exploring Operation: 3+15=18, Resulting Numbers: [3, 18]
Generated Node #0,3,1: 21:[3, 18] Operation: 3+15=18
Exploring Operation: 3+15=18, Resulting Numbers: [3, 18]
Generated Node #0,3,2: 21:[3, 18] Operation: 3+15=18
Exploring Operation: 15/3=5, Resulting Numbers: [3, 5]
Generated Node #0,3,3: 21:[3, 5] Operation: 15/3=5
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 21:[3, 5], Operations: ['89-74=15', '15/3=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,21 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 #0,3,3
Current State: 21:[3, 5], Operations: ['89-74=15', '15/3=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,21 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 #0,3,1
Current State: 21:[3, 18], Operations: ['89-74=15', '3+15=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[74, 3, 89, 3], Operations: []
Exploring Operation: 89-74=15, Resulting Numbers: [3, 3, 15]
Generated Node #0,3: 21:[3, 3, 15] Operation: 89-74=15
Moving to Node #0,3
Current State: 21:[3, 3, 15], Operations: ['89-74=15']
Exploring Operation: 3+15=18, Resulting Numbers: [3, 18]
Generated Node #0,3,1: 21:[3, 18] Operation: 3+15=18
Moving to Node #0,3,1
Current State: 21:[3, 18], Operations: ['89-74=15', '3+15=18']
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
75,
57,
74,
6
] | 34 | [
"75-57=18",
"6*18=108",
"108-74=34"
] | Current State: 34:[75, 57, 74, 6], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [74, 6, 18]
Generated Node #2: [74, 6, 18] from Operation: 75-57=18
Current State: 34:[74, 6, 18], Operations: ['75-57=18']
Exploring Operation: 6*18=108, Resulting Numbers: [74, 108]
Generated Node #3: [74, 108] from Operation: 6*18=108
Current State: 34:[74, 108], Operations: ['75-57=18', '6*18=108']
Exploring Operation: 108-74=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[75, 57, 74, 6], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [74, 6, 18]
Generated Node #0,0: 34:[74, 6, 18] Operation: 75-57=18
Exploring Operation: 75-74=1, Resulting Numbers: [57, 6, 1]
Generated Node #0,1: 34:[57, 6, 1] Operation: 75-74=1
Moving to Node #0,1
Current State: 34:[57, 6, 1], Operations: ['75-74=1']
Exploring Operation: 57-1=56, Resulting Numbers: [6, 56]
Generated Node #0,1,0: 34:[6, 56] Operation: 57-1=56
Exploring Operation: 57-6=51, Resulting Numbers: [1, 51]
Generated Node #0,1,1: 34:[1, 51] Operation: 57-6=51
Moving to Node #0,0
Current State: 34:[74, 6, 18], Operations: ['75-57=18']
Exploring Operation: 74-6=68, Resulting Numbers: [18, 68]
Generated Node #0,0,0: 34:[18, 68] Operation: 74-6=68
Exploring Operation: 74-18=56, Resulting Numbers: [6, 56]
Generated Node #0,0,1: 34:[6, 56] Operation: 74-18=56
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 34:[6, 56], Operations: ['75-57=18', '74-18=56']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,34 unequal: No Solution
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[18, 68], Operations: ['75-57=18', '74-6=68']
Exploring Operation: 18+68=86, Resulting Numbers: [86]
86,34 unequal: No Solution
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 34:[1, 51], Operations: ['75-74=1', '57-6=51']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,34 unequal: No Solution
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[6, 56], Operations: ['75-74=1', '57-1=56']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,34 unequal: No Solution
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,34 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
99,
34,
12,
21
] | 31 | [
"12+21=33",
"99/33=3",
"34-3=31"
] | Current State: 31:[99, 34, 12, 21], Operations: []
Exploring Operation: 12+21=33, Resulting Numbers: [99, 34, 33]
Generated Node #2: [99, 34, 33] from Operation: 12+21=33
Current State: 31:[99, 34, 33], Operations: ['12+21=33']
Exploring Operation: 99/33=3, Resulting Numbers: [34, 3]
Generated Node #3: [34, 3] from Operation: 99/33=3
Current State: 31:[34, 3], Operations: ['12+21=33', '99/33=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[99, 34, 12, 21], Operations: []
Exploring Operation: 99-12=87, Resulting Numbers: [34, 21, 87]
Generated Node #0,0: 31:[34, 21, 87] Operation: 99-12=87
Exploring Operation: 99-21=78, Resulting Numbers: [34, 12, 78]
Generated Node #0,1: 31:[34, 12, 78] Operation: 99-21=78
Exploring Operation: 99-34=65, Resulting Numbers: [12, 21, 65]
Generated Node #0,2: 31:[12, 21, 65] Operation: 99-34=65
Exploring Operation: 12+21=33, Resulting Numbers: [99, 34, 33]
Generated Node #0,3: 31:[99, 34, 33] Operation: 12+21=33
Moving to Node #0,2
Current State: 31:[12, 21, 65], Operations: ['99-34=65']
Exploring Operation: 65-12=53, Resulting Numbers: [21, 53]
Generated Node #0,2,0: 31:[21, 53] Operation: 65-12=53
Exploring Operation: 21-12=9, Resulting Numbers: [65, 9]
Generated Node #0,2,1: 31:[65, 9] Operation: 21-12=9
Exploring Operation: 65-21=44, Resulting Numbers: [12, 44]
Generated Node #0,2,2: 31:[12, 44] Operation: 65-21=44
Exploring Operation: 12+21=33, Resulting Numbers: [65, 33]
Generated Node #0,2,3: 31:[65, 33] Operation: 12+21=33
Moving to Node #0,1
Current State: 31:[34, 12, 78], Operations: ['99-21=78']
Exploring Operation: 34+12=46, Resulting Numbers: [78, 46]
Generated Node #0,1,0: 31:[78, 46] Operation: 34+12=46
Exploring Operation: 78-12=66, Resulting Numbers: [34, 66]
Generated Node #0,1,1: 31:[34, 66] Operation: 78-12=66
Exploring Operation: 34-12=22, Resulting Numbers: [78, 22]
Generated Node #0,1,2: 31:[78, 22] Operation: 34-12=22
Exploring Operation: 78-34=44, Resulting Numbers: [12, 44]
Generated Node #0,1,3: 31:[12, 44] Operation: 78-34=44
Moving to Node #0,0
Current State: 31:[34, 21, 87], Operations: ['99-12=87']
Exploring Operation: 87-34=53, Resulting Numbers: [21, 53]
Generated Node #0,0,0: 31:[21, 53] Operation: 87-34=53
Exploring Operation: 34-21=13, Resulting Numbers: [87, 13]
Generated Node #0,0,1: 31:[87, 13] Operation: 34-21=13
Exploring Operation: 87-21=66, Resulting Numbers: [34, 66]
Generated Node #0,0,2: 31:[34, 66] Operation: 87-21=66
Exploring Operation: 34+21=55, Resulting Numbers: [87, 55]
Generated Node #0,0,3: 31:[87, 55] Operation: 34+21=55
Moving to Node #0,3
Current State: 31:[99, 34, 33], Operations: ['12+21=33']
Exploring Operation: 99/33=3, Resulting Numbers: [34, 3]
Generated Node #0,3,0: 31:[34, 3] Operation: 99/33=3
Exploring Operation: 99-33=66, Resulting Numbers: [34, 66]
Generated Node #0,3,1: 31:[34, 66] Operation: 99-33=66
Exploring Operation: 99-34=65, Resulting Numbers: [33, 65]
Generated Node #0,3,2: 31:[33, 65] Operation: 99-34=65
Exploring Operation: 34-33=1, Resulting Numbers: [99, 1]
Generated Node #0,3,3: 31:[99, 1] Operation: 34-33=1
Moving to Node #0,3,0
Current State: 31:[34, 3], Operations: ['12+21=33', '99/33=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:[99, 34, 12, 21], Operations: []
Exploring Operation: 12+21=33, Resulting Numbers: [99, 34, 33]
Generated Node #0,3: 31:[99, 34, 33] Operation: 12+21=33
Moving to Node #0,3
Current State: 31:[99, 34, 33], Operations: ['12+21=33']
Exploring Operation: 99/33=3, Resulting Numbers: [34, 3]
Generated Node #0,3,0: 31:[34, 3] Operation: 99/33=3
Moving to Node #0,3,0
Current State: 31:[34, 3], Operations: ['12+21=33', '99/33=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 0.976563 | hs_4 | sum_heuristic |
[
51,
44,
11,
22
] | 69 | [
"51+22=73",
"44/11=4",
"73-4=69"
] | Current State: 69:[51, 44, 11, 22], Operations: []
Exploring Operation: 51+22=73, Resulting Numbers: [44, 11, 73]
Generated Node #2: [44, 11, 73] from Operation: 51+22=73
Current State: 69:[44, 11, 73], Operations: ['51+22=73']
Exploring Operation: 44/11=4, Resulting Numbers: [73, 4]
Generated Node #3: [73, 4] from Operation: 44/11=4
Current State: 69:[73, 4], Operations: ['51+22=73', '44/11=4']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[51, 44, 11, 22], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [11, 22, 7]
Generated Node #0,0: 69:[11, 22, 7] Operation: 51-44=7
Moving to Node #0,0
Current State: 69:[11, 22, 7], Operations: ['51-44=7']
Exploring Operation: 11-7=4, Resulting Numbers: [22, 4]
Generated Node #0,0,0: 69:[22, 4] Operation: 11-7=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[22, 4], Operations: ['51-44=7', '11-7=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
49,
96,
52,
93
] | 95 | [
"96-93=3",
"49*3=147",
"147-52=95"
] | Current State: 95:[49, 96, 52, 93], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [49, 52, 3]
Generated Node #2: [49, 52, 3] from Operation: 96-93=3
Current State: 95:[49, 52, 3], Operations: ['96-93=3']
Exploring Operation: 49*3=147, Resulting Numbers: [52, 147]
Generated Node #3: [52, 147] from Operation: 49*3=147
Current State: 95:[52, 147], Operations: ['96-93=3', '49*3=147']
Exploring Operation: 147-52=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[49, 96, 52, 93], Operations: []
Exploring Operation: 93-52=41, Resulting Numbers: [49, 96, 41]
Generated Node #0,0: 95:[49, 96, 41] Operation: 93-52=41
Exploring Operation: 52-49=3, Resulting Numbers: [96, 93, 3]
Generated Node #0,1: 95:[96, 93, 3] Operation: 52-49=3
Exploring Operation: 49+52=101, Resulting Numbers: [96, 93, 101]
Generated Node #0,2: 95:[96, 93, 101] Operation: 49+52=101
Exploring Operation: 96-52=44, Resulting Numbers: [49, 93, 44]
Generated Node #0,3: 95:[49, 93, 44] Operation: 96-52=44
Moving to Node #0,1
Current State: 95:[96, 93, 3], Operations: ['52-49=3']
Exploring Operation: 93+3=96, Resulting Numbers: [96, 96]
Generated Node #0,1,0: 95:[96, 96] Operation: 93+3=96
Exploring Operation: 96-3=93, Resulting Numbers: [93, 93]
Generated Node #0,1,1: 95:[93, 93] Operation: 96-3=93
Exploring Operation: 96+3=99, Resulting Numbers: [93, 99]
Generated Node #0,1,2: 95:[93, 99] Operation: 96+3=99
Exploring Operation: 96-93=3, Resulting Numbers: [3, 3]
Generated Node #0,1,3: 95:[3, 3] Operation: 96-93=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[96, 96], Operations: ['52-49=3', '93+3=96']
Exploring Operation: 96-96=0, Resulting Numbers: [0]
0,95 unequal: No Solution
Exploring Operation: 96/96=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 96*96=9216, Resulting Numbers: [9216]
9216,95 unequal: No Solution
Exploring Operation: 96+96=192, Resulting Numbers: [192]
192,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[93, 93], Operations: ['52-49=3', '96-3=93']
Exploring Operation: 93-93=0, Resulting Numbers: [0]
0,95 unequal: No Solution
Exploring Operation: 93/93=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 93+93=186, Resulting Numbers: [186]
186,95 unequal: No Solution
Exploring Operation: 93*93=8649, Resulting Numbers: [8649]
8649,95 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 #0,1,3
Current State: 95:[3, 3], Operations: ['52-49=3', '96-93=3']
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,95 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,95 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 #0,1,2
Current State: 95:[93, 99], Operations: ['52-49=3', '96+3=99']
Exploring Operation: 93*99=9207, Resulting Numbers: [9207]
9207,95 unequal: No Solution
Exploring Operation: 93+99=192, Resulting Numbers: [192]
192,95 unequal: No Solution
Exploring Operation: 99-93=6, Resulting Numbers: [6]
6,95 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: 95:[96, 93, 101], Operations: ['49+52=101']
Exploring Operation: 96-93=3, Resulting Numbers: [101, 3]
Generated Node #0,2,0: 95:[101, 3] Operation: 96-93=3
Exploring Operation: 101-93=8, Resulting Numbers: [96, 8]
Generated Node #0,2,1: 95:[96, 8] Operation: 101-93=8
Exploring Operation: 101-96=5, Resulting Numbers: [93, 5]
Generated Node #0,2,2: 95:[93, 5] Operation: 101-96=5
Exploring Operation: 96+93=189, Resulting Numbers: [101, 189]
Generated Node #0,2,3: 95:[101, 189] Operation: 96+93=189
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 95:[93, 5], Operations: ['49+52=101', '101-96=5']
Exploring Operation: 93+5=98, Resulting Numbers: [98]
98,95 unequal: No Solution
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 93*5=465, Resulting Numbers: [465]
465,95 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 #0,2,1
Current State: 95:[96, 8], Operations: ['49+52=101', '101-93=8']
Exploring Operation: 96*8=768, Resulting Numbers: [768]
768,95 unequal: No Solution
Exploring Operation: 96-8=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,95 unequal: No Solution
Exploring Operation: 96+8=104, Resulting Numbers: [104]
104,95 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 #0,2,0
Current State: 95:[101, 3], Operations: ['49+52=101', '96-93=3']
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,95 unequal: No Solution
Exploring Operation: 101+3=104, Resulting Numbers: [104]
104,95 unequal: No Solution
Exploring Operation: 101*3=303, Resulting Numbers: [303]
303,95 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 #0,2,3
Current State: 95:[101, 189], Operations: ['49+52=101', '96+93=189']
Exploring Operation: 101+189=290, Resulting Numbers: [290]
290,95 unequal: No Solution
Exploring Operation: 101*189=19089, Resulting Numbers: [19089]
19089,95 unequal: No Solution
Exploring Operation: 189-101=88, Resulting Numbers: [88]
88,95 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: 95:[49, 96, 41], Operations: ['93-52=41']
Exploring Operation: 49+41=90, Resulting Numbers: [96, 90]
Generated Node #0,0,0: 95:[96, 90] Operation: 49+41=90
Exploring Operation: 49-41=8, Resulting Numbers: [96, 8]
Generated Node #0,0,1: 95:[96, 8] Operation: 49-41=8
Exploring Operation: 96-41=55, Resulting Numbers: [49, 55]
Generated Node #0,0,2: 95:[49, 55] Operation: 96-41=55
Exploring Operation: 96-49=47, Resulting Numbers: [41, 47]
Generated Node #0,0,3: 95:[41, 47] Operation: 96-49=47
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[96, 8], Operations: ['93-52=41', '49-41=8']
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,95 unequal: No Solution
Exploring Operation: 96-8=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 96*8=768, Resulting Numbers: [768]
768,95 unequal: No Solution
Exploring Operation: 96+8=104, Resulting Numbers: [104]
104,95 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 #0,0,0
Current State: 95:[96, 90], Operations: ['93-52=41', '49+41=90']
Exploring Operation: 96+90=186, Resulting Numbers: [186]
186,95 unequal: No Solution
Exploring Operation: 96-90=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 96*90=8640, Resulting Numbers: [8640]
8640,95 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 #0,0,3
Current State: 95:[41, 47], Operations: ['93-52=41', '96-49=47']
Exploring Operation: 41+47=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 47-41=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 41*47=1927, Resulting Numbers: [1927]
1927,95 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 #0,0,2
Current State: 95:[49, 55], Operations: ['93-52=41', '96-41=55']
Exploring Operation: 49+55=104, Resulting Numbers: [104]
104,95 unequal: No Solution
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 49*55=2695, Resulting Numbers: [2695]
2695,95 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: 95:[49, 93, 44], Operations: ['96-52=44']
Exploring Operation: 49-44=5, Resulting Numbers: [93, 5]
Generated Node #0,3,0: 95:[93, 5] Operation: 49-44=5
Exploring Operation: 93-44=49, Resulting Numbers: [49, 49]
Generated Node #0,3,1: 95:[49, 49] Operation: 93-44=49
Exploring Operation: 93-49=44, Resulting Numbers: [44, 44]
Generated Node #0,3,2: 95:[44, 44] Operation: 93-49=44
Exploring Operation: 49+44=93, Resulting Numbers: [93, 93]
Generated Node #0,3,3: 95:[93, 93] Operation: 49+44=93
Moving to Node #0,3,0
Current State: 95:[93, 5], Operations: ['96-52=44', '49-44=5']
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 93+5=98, Resulting Numbers: [98]
98,95 unequal: No Solution
Exploring Operation: 93*5=465, Resulting Numbers: [465]
465,95 unequal: No Solution
Moving to Node #0,3,3
Current State: 95:[93, 93], Operations: ['96-52=44', '49+44=93']
Exploring Operation: 93*93=8649, Resulting Numbers: [8649]
8649,95 unequal: No Solution
Exploring Operation: 93/93=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 93-93=0, Resulting Numbers: [0]
0,95 unequal: No Solution
Exploring Operation: 93+93=186, Resulting Numbers: [186]
186,95 unequal: No Solution
Moving to Node #0,3,2
Current State: 95:[44, 44], Operations: ['96-52=44', '93-49=44']
Exploring Operation: 44*44=1936, Resulting Numbers: [1936]
1936,95 unequal: No Solution
Exploring Operation: 44-44=0, Resulting Numbers: [0]
0,95 unequal: No Solution
Exploring Operation: 44+44=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 44/44=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Moving to Node #0,3,1
Current State: 95:[49, 49], Operations: ['96-52=44', '93-44=49']
Exploring Operation: 49*49=2401, Resulting Numbers: [2401]
2401,95 unequal: No Solution
Exploring Operation: 49-49=0, Resulting Numbers: [0]
0,95 unequal: No Solution
Exploring Operation: 49/49=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,95 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
5,
35,
24,
84
] | 90 | [
"35-5=30",
"84-24=60",
"30+60=90"
] | Current State: 90:[5, 35, 24, 84], Operations: []
Exploring Operation: 35-5=30, Resulting Numbers: [24, 84, 30]
Generated Node #2: [24, 84, 30] from Operation: 35-5=30
Current State: 90:[24, 84, 30], Operations: ['35-5=30']
Exploring Operation: 84-24=60, Resulting Numbers: [30, 60]
Generated Node #3: [30, 60] from Operation: 84-24=60
Current State: 90:[30, 60], Operations: ['35-5=30', '84-24=60']
Exploring Operation: 30+60=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[5, 35, 24, 84], Operations: []
Exploring Operation: 35-24=11, Resulting Numbers: [5, 84, 11]
Generated Node #0,0: 90:[5, 84, 11] Operation: 35-24=11
Exploring Operation: 5+24=29, Resulting Numbers: [35, 84, 29]
Generated Node #0,1: 90:[35, 84, 29] Operation: 5+24=29
Exploring Operation: 84-35=49, Resulting Numbers: [5, 24, 49]
Generated Node #0,2: 90:[5, 24, 49] Operation: 84-35=49
Exploring Operation: 35-5=30, Resulting Numbers: [24, 84, 30]
Generated Node #0,3: 90:[24, 84, 30] Operation: 35-5=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[5, 84, 11], Operations: ['35-24=11']
Exploring Operation: 5+84=89, Resulting Numbers: [11, 89]
Generated Node #0,0,0: 90:[11, 89] Operation: 5+84=89
Exploring Operation: 84+11=95, Resulting Numbers: [5, 95]
Generated Node #0,0,1: 90:[5, 95] Operation: 84+11=95
Exploring Operation: 11-5=6, Resulting Numbers: [84, 6]
Generated Node #0,0,2: 90:[84, 6] Operation: 11-5=6
Exploring Operation: 5+11=16, Resulting Numbers: [84, 16]
Generated Node #0,0,3: 90:[84, 16] Operation: 5+11=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[11, 89], Operations: ['35-24=11', '5+84=89']
Exploring Operation: 11+89=100, Resulting Numbers: [100]
100,90 unequal: No Solution
Exploring Operation: 11*89=979, Resulting Numbers: [979]
979,90 unequal: No Solution
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,90 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 #0,0,1
Current State: 90:[5, 95], Operations: ['35-24=11', '84+11=95']
Exploring Operation: 5*95=475, Resulting Numbers: [475]
475,90 unequal: No Solution
Exploring Operation: 5+95=100, Resulting Numbers: [100]
100,90 unequal: No Solution
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[5, 35, 24, 84], Operations: []
Exploring Operation: 35-24=11, Resulting Numbers: [5, 84, 11]
Generated Node #0,0: 90:[5, 84, 11] Operation: 35-24=11
Moving to Node #0,0
Current State: 90:[5, 84, 11], Operations: ['35-24=11']
Exploring Operation: 84+11=95, Resulting Numbers: [5, 95]
Generated Node #0,0,1: 90:[5, 95] Operation: 84+11=95
Moving to Node #0,0,1
Current State: 90:[5, 95], Operations: ['35-24=11', '84+11=95']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
54,
65,
84,
52
] | 51 | [
"65*84=5460",
"5460/52=105",
"105-54=51"
] | Current State: 51:[54, 65, 84, 52], Operations: []
Exploring Operation: 65*84=5460, Resulting Numbers: [54, 52, 5460]
Generated Node #2: [54, 52, 5460] from Operation: 65*84=5460
Current State: 51:[54, 52, 5460], Operations: ['65*84=5460']
Exploring Operation: 5460/52=105, Resulting Numbers: [54, 105]
Generated Node #3: [54, 105] from Operation: 5460/52=105
Current State: 51:[54, 105], Operations: ['65*84=5460', '5460/52=105']
Exploring Operation: 105-54=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[54, 65, 84, 52], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [54, 52, 19]
Generated Node #0,0: 51:[54, 52, 19] Operation: 84-65=19
Exploring Operation: 65-54=11, Resulting Numbers: [84, 52, 11]
Generated Node #0,1: 51:[84, 52, 11] Operation: 65-54=11
Exploring Operation: 84-52=32, Resulting Numbers: [54, 65, 32]
Generated Node #0,2: 51:[54, 65, 32] Operation: 84-52=32
Exploring Operation: 84-54=30, Resulting Numbers: [65, 52, 30]
Generated Node #0,3: 51:[65, 52, 30] Operation: 84-54=30
Moving to Node #0,0
Current State: 51:[54, 52, 19], Operations: ['84-65=19']
Exploring Operation: 52-19=33, Resulting Numbers: [54, 33]
Generated Node #0,0,0: 51:[54, 33] Operation: 52-19=33
Exploring Operation: 54-52=2, Resulting Numbers: [19, 2]
Generated Node #0,0,1: 51:[19, 2] Operation: 54-52=2
Exploring Operation: 54+19=73, Resulting Numbers: [52, 73]
Generated Node #0,0,2: 51:[52, 73] Operation: 54+19=73
Exploring Operation: 54-19=35, Resulting Numbers: [52, 35]
Generated Node #0,0,3: 51:[52, 35] Operation: 54-19=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[19, 2], Operations: ['84-65=19', '54-52=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,51 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 51:[52, 35], Operations: ['84-65=19', '54-19=35']
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 52+35=87, Resulting Numbers: [87]
87,51 unequal: No Solution
Exploring Operation: 52*35=1820, Resulting Numbers: [1820]
1820,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[54, 33], Operations: ['84-65=19', '52-19=33']
Exploring Operation: 54*33=1782, Resulting Numbers: [1782]
1782,51 unequal: No Solution
Exploring Operation: 54-33=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 54+33=87, Resulting Numbers: [87]
87,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 51:[52, 73], Operations: ['84-65=19', '54+19=73']
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 52+73=125, Resulting Numbers: [125]
125,51 unequal: No Solution
Exploring Operation: 52*73=3796, Resulting Numbers: [3796]
3796,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 51:[65, 52, 30], Operations: ['84-54=30']
Exploring Operation: 65-52=13, Resulting Numbers: [30, 13]
Generated Node #0,3,0: 51:[30, 13] Operation: 65-52=13
Exploring Operation: 52-30=22, Resulting Numbers: [65, 22]
Generated Node #0,3,1: 51:[65, 22] Operation: 52-30=22
Exploring Operation: 65-30=35, Resulting Numbers: [52, 35]
Generated Node #0,3,2: 51:[52, 35] Operation: 65-30=35
Exploring Operation: 65+30=95, Resulting Numbers: [52, 95]
Generated Node #0,3,3: 51:[52, 95] Operation: 65+30=95
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 51:[30, 13], Operations: ['84-54=30', '65-52=13']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Exploring Operation: 30*13=390, Resulting Numbers: [390]
390,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 51:[52, 35], Operations: ['84-54=30', '65-30=35']
Exploring Operation: 52+35=87, Resulting Numbers: [87]
87,51 unequal: No Solution
Exploring Operation: 52*35=1820, Resulting Numbers: [1820]
1820,51 unequal: No Solution
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 51:[65, 22], Operations: ['84-54=30', '52-30=22']
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,51 unequal: No Solution
Exploring Operation: 65*22=1430, Resulting Numbers: [1430]
1430,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 51:[52, 95], Operations: ['84-54=30', '65+30=95']
Exploring Operation: 52+95=147, Resulting Numbers: [147]
147,51 unequal: No Solution
Exploring Operation: 52*95=4940, Resulting Numbers: [4940]
4940,51 unequal: No Solution
Exploring Operation: 95-52=43, Resulting Numbers: [43]
43,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 51:[54, 65, 32], Operations: ['84-52=32']
Exploring Operation: 54-32=22, Resulting Numbers: [65, 22]
Generated Node #0,2,0: 51:[65, 22] Operation: 54-32=22
Exploring Operation: 54+32=86, Resulting Numbers: [65, 86]
Generated Node #0,2,1: 51:[65, 86] Operation: 54+32=86
Exploring Operation: 65-32=33, Resulting Numbers: [54, 33]
Generated Node #0,2,2: 51:[54, 33] Operation: 65-32=33
Exploring Operation: 65-54=11, Resulting Numbers: [32, 11]
Generated Node #0,2,3: 51:[32, 11] Operation: 65-54=11
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[65, 22], Operations: ['84-52=32', '54-32=22']
Exploring Operation: 65*22=1430, Resulting Numbers: [1430]
1430,51 unequal: No Solution
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 51:[54, 33], Operations: ['84-52=32', '65-32=33']
Exploring Operation: 54+33=87, Resulting Numbers: [87]
87,51 unequal: No Solution
Exploring Operation: 54-33=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 54*33=1782, Resulting Numbers: [1782]
1782,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 51:[32, 11], Operations: ['84-52=32', '65-54=11']
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Exploring Operation: 32*11=352, Resulting Numbers: [352]
352,51 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 51:[65, 86], Operations: ['84-52=32', '54+32=86']
Exploring Operation: 65*86=5590, Resulting Numbers: [5590]
5590,51 unequal: No Solution
Exploring Operation: 86-65=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 65+86=151, Resulting Numbers: [151]
151,51 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: 51:[84, 52, 11], Operations: ['65-54=11']
Exploring Operation: 84-52=32, Resulting Numbers: [11, 32]
Generated Node #0,1,0: 51:[11, 32] Operation: 84-52=32
Exploring Operation: 84-11=73, Resulting Numbers: [52, 73]
Generated Node #0,1,1: 51:[52, 73] Operation: 84-11=73
Exploring Operation: 52-11=41, Resulting Numbers: [84, 41]
Generated Node #0,1,2: 51:[84, 41] Operation: 52-11=41
Exploring Operation: 84+11=95, Resulting Numbers: [52, 95]
Generated Node #0,1,3: 51:[52, 95] Operation: 84+11=95
Moving to Node #0,1,0
Current State: 51:[11, 32], Operations: ['65-54=11', '84-52=32']
Exploring Operation: 11*32=352, Resulting Numbers: [352]
352,51 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 11+32=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[52, 73], Operations: ['65-54=11', '84-11=73']
Exploring Operation: 52+73=125, Resulting Numbers: [125]
125,51 unequal: No Solution
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 52*73=3796, Resulting Numbers: [3796]
3796,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[84, 41], Operations: ['65-54=11', '52-11=41']
Exploring Operation: 84+41=125, Resulting Numbers: [125]
125,51 unequal: No Solution
Exploring Operation: 84*41=3444, Resulting Numbers: [3444]
3444,51 unequal: No Solution
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Moving to Node #0,1,3
Current State: 51:[52, 95], Operations: ['65-54=11', '84+11=95']
Exploring Operation: 52*95=4940, Resulting Numbers: [4940]
4940,51 unequal: No Solution
Exploring Operation: 95-52=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Exploring Operation: 52+95=147, Resulting Numbers: [147]
147,51 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
12,
19,
4,
20
] | 41 | [
"12/4=3",
"20*3=60",
"60-19=41"
] | Current State: 41:[12, 19, 4, 20], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [19, 20, 3]
Generated Node #2: [19, 20, 3] from Operation: 12/4=3
Current State: 41:[19, 20, 3], Operations: ['12/4=3']
Exploring Operation: 20*3=60, Resulting Numbers: [19, 60]
Generated Node #3: [19, 60] from Operation: 20*3=60
Current State: 41:[19, 60], Operations: ['12/4=3', '20*3=60']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[12, 19, 4, 20], Operations: []
Exploring Operation: 12+20=32, Resulting Numbers: [19, 4, 32]
Generated Node #0,0: 41:[19, 4, 32] Operation: 12+20=32
Exploring Operation: 12*4=48, Resulting Numbers: [19, 20, 48]
Generated Node #0,1: 41:[19, 20, 48] Operation: 12*4=48
Exploring Operation: 12+4=16, Resulting Numbers: [19, 20, 16]
Generated Node #0,2: 41:[19, 20, 16] Operation: 12+4=16
Exploring Operation: 12+19=31, Resulting Numbers: [4, 20, 31]
Generated Node #0,3: 41:[4, 20, 31] Operation: 12+19=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[19, 20, 48], Operations: ['12*4=48']
Exploring Operation: 48-20=28, Resulting Numbers: [19, 28]
Generated Node #0,1,0: 41:[19, 28] Operation: 48-20=28
Exploring Operation: 20-19=1, Resulting Numbers: [48, 1]
Generated Node #0,1,1: 41:[48, 1] Operation: 20-19=1
Exploring Operation: 19+20=39, Resulting Numbers: [48, 39]
Generated Node #0,1,2: 41:[48, 39] Operation: 19+20=39
Exploring Operation: 48-19=29, Resulting Numbers: [20, 29]
Generated Node #0,1,3: 41:[20, 29] Operation: 48-19=29
Moving to Node #0,1,2
Current State: 41:[48, 39], Operations: ['12*4=48', '19+20=39']
Exploring Operation: 48*39=1872, Resulting Numbers: [1872]
1872,41 unequal: No Solution
Exploring Operation: 48+39=87, Resulting Numbers: [87]
87,41 unequal: No Solution
Exploring Operation: 48-39=9, Resulting Numbers: [9]
9,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[20, 29], Operations: ['12*4=48', '48-19=29']
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,41 unequal: No Solution
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,41 unequal: No Solution
Exploring Operation: 20*29=580, Resulting Numbers: [580]
580,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[19, 28], Operations: ['12*4=48', '48-20=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,41 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,41 unequal: No Solution
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[48, 1], Operations: ['12*4=48', '20-19=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,41 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,41 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[19, 4, 32], Operations: ['12+20=32']
Exploring Operation: 19+4=23, Resulting Numbers: [32, 23]
Generated Node #0,0,0: 41:[32, 23] Operation: 19+4=23
Exploring Operation: 32-4=28, Resulting Numbers: [19, 28]
Generated Node #0,0,1: 41:[19, 28] Operation: 32-4=28
Exploring Operation: 19-4=15, Resulting Numbers: [32, 15]
Generated Node #0,0,2: 41:[32, 15] Operation: 19-4=15
Exploring Operation: 4+32=36, Resulting Numbers: [19, 36]
Generated Node #0,0,3: 41:[19, 36] Operation: 4+32=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[32, 23], Operations: ['12+20=32', '19+4=23']
Exploring Operation: 32*23=736, Resulting Numbers: [736]
736,41 unequal: No Solution
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,41 unequal: No Solution
Exploring Operation: 32+23=55, Resulting Numbers: [55]
55,41 unequal: No Solution
No 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: 41:[19, 36], Operations: ['12+20=32', '4+32=36']
Exploring Operation: 19+36=55, Resulting Numbers: [55]
55,41 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 19*36=684, Resulting Numbers: [684]
684,41 unequal: No Solution
No 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: 41:[19, 28], Operations: ['12+20=32', '32-4=28']
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,41 unequal: No Solution
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,41 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,41 unequal: No Solution
No 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: 41:[32, 15], Operations: ['12+20=32', '19-4=15']
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 32*15=480, Resulting Numbers: [480]
480,41 unequal: No Solution
Exploring Operation: 32+15=47, Resulting Numbers: [47]
47,41 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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[19, 20, 16], Operations: ['12+4=16']
Exploring Operation: 19+16=35, Resulting Numbers: [20, 35]
Generated Node #0,2,0: 41:[20, 35] Operation: 19+16=35
Exploring Operation: 19-16=3, Resulting Numbers: [20, 3]
Generated Node #0,2,1: 41:[20, 3] Operation: 19-16=3
Exploring Operation: 20+16=36, Resulting Numbers: [19, 36]
Generated Node #0,2,2: 41:[19, 36] Operation: 20+16=36
Exploring Operation: 19+20=39, Resulting Numbers: [16, 39]
Generated Node #0,2,3: 41:[16, 39] Operation: 19+20=39
Moving to Node #0,2,0
Current State: 41:[20, 35], Operations: ['12+4=16', '19+16=35']
Exploring Operation: 20*35=700, Resulting Numbers: [700]
700,41 unequal: No Solution
Exploring Operation: 20+35=55, Resulting Numbers: [55]
55,41 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[16, 39], Operations: ['12+4=16', '19+20=39']
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,41 unequal: No Solution
Exploring Operation: 16*39=624, Resulting Numbers: [624]
624,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[19, 36], Operations: ['12+4=16', '20+16=36']
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 19*36=684, Resulting Numbers: [684]
684,41 unequal: No Solution
Exploring Operation: 19+36=55, Resulting Numbers: [55]
55,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[20, 3], Operations: ['12+4=16', '19-16=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[4, 20, 31], Operations: ['12+19=31']
Exploring Operation: 4+31=35, Resulting Numbers: [20, 35]
Generated Node #0,3,0: 41:[20, 35] Operation: 4+31=35
Exploring Operation: 4+20=24, Resulting Numbers: [31, 24]
Generated Node #0,3,1: 41:[31, 24] Operation: 4+20=24
Exploring Operation: 31-4=27, Resulting Numbers: [20, 27]
Generated Node #0,3,2: 41:[20, 27] Operation: 31-4=27
Exploring Operation: 20-4=16, Resulting Numbers: [31, 16]
Generated Node #0,3,3: 41:[31, 16] Operation: 20-4=16
Moving to Node #0,3,0
Current State: 41:[20, 35], Operations: ['12+19=31', '4+31=35']
Exploring Operation: 20*35=700, Resulting Numbers: [700]
700,41 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 20+35=55, Resulting Numbers: [55]
55,41 unequal: No Solution
Moving to Node #0,3,1
Current State: 41:[31, 24], Operations: ['12+19=31', '4+20=24']
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Exploring Operation: 31+24=55, Resulting Numbers: [55]
55,41 unequal: No Solution
Exploring Operation: 31*24=744, Resulting Numbers: [744]
744,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[31, 16], Operations: ['12+19=31', '20-4=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,41 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,41 unequal: No Solution
Moving to Node #0,3,2
Current State: 41:[20, 27], Operations: ['12+19=31', '31-4=27']
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,41 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,41 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 |
[
38,
82,
3,
37
] | 53 | [
"82-37=45",
"45/3=15",
"38+15=53"
] | Current State: 53:[38, 82, 3, 37], Operations: []
Exploring Operation: 82-37=45, Resulting Numbers: [38, 3, 45]
Generated Node #2: [38, 3, 45] from Operation: 82-37=45
Current State: 53:[38, 3, 45], Operations: ['82-37=45']
Exploring Operation: 45/3=15, Resulting Numbers: [38, 15]
Generated Node #3: [38, 15] from Operation: 45/3=15
Current State: 53:[38, 15], Operations: ['82-37=45', '45/3=15']
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[38, 82, 3, 37], Operations: []
Exploring Operation: 82-3=79, Resulting Numbers: [38, 37, 79]
Generated Node #0,0: 53:[38, 37, 79] Operation: 82-3=79
Exploring Operation: 38+3=41, Resulting Numbers: [82, 37, 41]
Generated Node #0,1: 53:[82, 37, 41] Operation: 38+3=41
Moving to Node #0,0
Current State: 53:[38, 37, 79], Operations: ['82-3=79']
Exploring Operation: 79-37=42, Resulting Numbers: [38, 42]
Generated Node #0,0,0: 53:[38, 42] Operation: 79-37=42
Exploring Operation: 79-38=41, Resulting Numbers: [37, 41]
Generated Node #0,0,1: 53:[37, 41] Operation: 79-38=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[38, 42], Operations: ['82-3=79', '79-37=42']
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 38+42=80, Resulting Numbers: [80]
80,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[37, 41], Operations: ['82-3=79', '79-38=41']
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 37+41=78, Resulting Numbers: [78]
78,53 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: 53:[82, 37, 41], Operations: ['38+3=41']
Exploring Operation: 82-37=45, Resulting Numbers: [41, 45]
Generated Node #0,1,0: 53:[41, 45] Operation: 82-37=45
Exploring Operation: 82-41=41, Resulting Numbers: [37, 41]
Generated Node #0,1,1: 53:[37, 41] Operation: 82-41=41
Moving to Node #0,1,0
Current State: 53:[41, 45], Operations: ['38+3=41', '82-37=45']
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 41+45=86, Resulting Numbers: [86]
86,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[37, 41], Operations: ['38+3=41', '82-41=41']
Exploring Operation: 37+41=78, Resulting Numbers: [78]
78,53 unequal: No Solution
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,53 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
34,
42,
45,
39
] | 70 | [
"34+42=76",
"45-39=6",
"76-6=70"
] | Current State: 70:[34, 42, 45, 39], Operations: []
Exploring Operation: 34+42=76, Resulting Numbers: [45, 39, 76]
Generated Node #2: [45, 39, 76] from Operation: 34+42=76
Current State: 70:[45, 39, 76], Operations: ['34+42=76']
Exploring Operation: 45-39=6, Resulting Numbers: [76, 6]
Generated Node #3: [76, 6] from Operation: 45-39=6
Current State: 70:[76, 6], Operations: ['34+42=76', '45-39=6']
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[34, 42, 45, 39], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [34, 42, 6]
Generated Node #0,0: 70:[34, 42, 6] Operation: 45-39=6
Exploring Operation: 45-34=11, Resulting Numbers: [42, 39, 11]
Generated Node #0,1: 70:[42, 39, 11] Operation: 45-34=11
Exploring Operation: 45-42=3, Resulting Numbers: [34, 39, 3]
Generated Node #0,2: 70:[34, 39, 3] Operation: 45-42=3
Moving to Node #0,2
Current State: 70:[34, 39, 3], Operations: ['45-42=3']
Exploring Operation: 39-34=5, Resulting Numbers: [3, 5]
Generated Node #0,2,0: 70:[3, 5] Operation: 39-34=5
Exploring Operation: 39-3=36, Resulting Numbers: [34, 36]
Generated Node #0,2,1: 70:[34, 36] Operation: 39-3=36
Exploring Operation: 39/3=13, Resulting Numbers: [34, 13]
Generated Node #0,2,2: 70:[34, 13] Operation: 39/3=13
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 70:[3, 5], Operations: ['45-42=3', '39-34=5']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,70 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 70:[34, 36], Operations: ['45-42=3', '39-3=36']
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 34*36=1224, Resulting Numbers: [1224]
1224,70 unequal: No Solution
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[34, 42, 45, 39], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [34, 39, 3]
Generated Node #0,2: 70:[34, 39, 3] Operation: 45-42=3
Moving to Node #0,2
Current State: 70:[34, 39, 3], Operations: ['45-42=3']
Exploring Operation: 39-3=36, Resulting Numbers: [34, 36]
Generated Node #0,2,1: 70:[34, 36] Operation: 39-3=36
Moving to Node #0,2,1
Current State: 70:[34, 36], Operations: ['45-42=3', '39-3=36']
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
8,
28,
68,
64
] | 56 | [
"8*28=224",
"68-64=4",
"224/4=56"
] | Current State: 56:[8, 28, 68, 64], Operations: []
Exploring Operation: 8*28=224, Resulting Numbers: [68, 64, 224]
Generated Node #2: [68, 64, 224] from Operation: 8*28=224
Current State: 56:[68, 64, 224], Operations: ['8*28=224']
Exploring Operation: 68-64=4, Resulting Numbers: [224, 4]
Generated Node #3: [224, 4] from Operation: 68-64=4
Current State: 56:[224, 4], Operations: ['8*28=224', '68-64=4']
Exploring Operation: 224/4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[8, 28, 68, 64], Operations: []
Exploring Operation: 68-28=40, Resulting Numbers: [8, 64, 40]
Generated Node #0,0: 56:[8, 64, 40] Operation: 68-28=40
Exploring Operation: 64/8=8, Resulting Numbers: [28, 68, 8]
Generated Node #0,1: 56:[28, 68, 8] Operation: 64/8=8
Exploring Operation: 68-8=60, Resulting Numbers: [28, 64, 60]
Generated Node #0,2: 56:[28, 64, 60] Operation: 68-8=60
Exploring Operation: 68-64=4, Resulting Numbers: [8, 28, 4]
Generated Node #0,3: 56:[8, 28, 4] Operation: 68-64=4
Exploring Operation: 64-8=56, Resulting Numbers: [28, 68, 56]
Generated Node #0,4: 56:[28, 68, 56] Operation: 64-8=56
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[8, 28, 4], Operations: ['68-64=4']
Exploring Operation: 28/4=7, Resulting Numbers: [8, 7]
Generated Node #0,3,0: 56:[8, 7] Operation: 28/4=7
Exploring Operation: 8+4=12, Resulting Numbers: [28, 12]
Generated Node #0,3,1: 56:[28, 12] Operation: 8+4=12
Exploring Operation: 8-4=4, Resulting Numbers: [28, 4]
Generated Node #0,3,2: 56:[28, 4] Operation: 8-4=4
Exploring Operation: 8*4=32, Resulting Numbers: [28, 32]
Generated Node #0,3,3: 56:[28, 32] Operation: 8*4=32
Exploring Operation: 8/4=2, Resulting Numbers: [28, 2]
Generated Node #0,3,4: 56:[28, 2] Operation: 8/4=2
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 56:[8, 7], Operations: ['68-64=4', '28/4=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[8, 28, 68, 64], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [8, 28, 4]
Generated Node #0,3: 56:[8, 28, 4] Operation: 68-64=4
Moving to Node #0,3
Current State: 56:[8, 28, 4], Operations: ['68-64=4']
Exploring Operation: 28/4=7, Resulting Numbers: [8, 7]
Generated Node #0,3,0: 56:[8, 7] Operation: 28/4=7
Moving to Node #0,3,0
Current State: 56:[8, 7], Operations: ['68-64=4', '28/4=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
54,
27,
52,
7
] | 43 | [
"54/27=2",
"52-7=45",
"45-2=43"
] | Current State: 43:[54, 27, 52, 7], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [52, 7, 2]
Generated Node #2: [52, 7, 2] from Operation: 54/27=2
Current State: 43:[52, 7, 2], Operations: ['54/27=2']
Exploring Operation: 52-7=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 52-7=45
Current State: 43:[2, 45], Operations: ['54/27=2', '52-7=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[54, 27, 52, 7], Operations: []
Exploring Operation: 27+7=34, Resulting Numbers: [54, 52, 34]
Generated Node #0,0: 43:[54, 52, 34] Operation: 27+7=34
Exploring Operation: 54-7=47, Resulting Numbers: [27, 52, 47]
Generated Node #0,1: 43:[27, 52, 47] Operation: 54-7=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[54, 52, 34], Operations: ['27+7=34']
Exploring Operation: 52-34=18, Resulting Numbers: [54, 18]
Generated Node #0,0,0: 43:[54, 18] Operation: 52-34=18
Exploring Operation: 54-34=20, Resulting Numbers: [52, 20]
Generated Node #0,0,1: 43:[52, 20] Operation: 54-34=20
Moving to Node #0,0,1
Current State: 43:[52, 20], Operations: ['27+7=34', '54-34=20']
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,43 unequal: No Solution
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[54, 18], Operations: ['27+7=34', '52-34=18']
Exploring Operation: 54+18=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[27, 52, 47], Operations: ['54-7=47']
Exploring Operation: 47-27=20, Resulting Numbers: [52, 20]
Generated Node #0,1,0: 43:[52, 20] Operation: 47-27=20
Exploring Operation: 52-27=25, Resulting Numbers: [47, 25]
Generated Node #0,1,1: 43:[47, 25] Operation: 52-27=25
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 43:[47, 25], Operations: ['54-7=47', '52-27=25']
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,43 unequal: No Solution
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,43 unequal: No Solution
No 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: 43:[52, 20], Operations: ['54-7=47', '47-27=20']
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,43 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 |
[
60,
36,
23,
39
] | 43 | [
"39-36=3",
"60/3=20",
"23+20=43"
] | Current State: 43:[60, 36, 23, 39], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [60, 23, 3]
Generated Node #2: [60, 23, 3] from Operation: 39-36=3
Current State: 43:[60, 23, 3], Operations: ['39-36=3']
Exploring Operation: 60/3=20, Resulting Numbers: [23, 20]
Generated Node #3: [23, 20] from Operation: 60/3=20
Current State: 43:[23, 20], Operations: ['39-36=3', '60/3=20']
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[60, 36, 23, 39], Operations: []
Exploring Operation: 36+23=59, Resulting Numbers: [60, 39, 59]
Generated Node #0,0: 43:[60, 39, 59] Operation: 36+23=59
Exploring Operation: 60-36=24, Resulting Numbers: [23, 39, 24]
Generated Node #0,1: 43:[23, 39, 24] Operation: 60-36=24
Exploring Operation: 60-23=37, Resulting Numbers: [36, 39, 37]
Generated Node #0,2: 43:[36, 39, 37] Operation: 60-23=37
Moving to Node #0,2
Current State: 43:[36, 39, 37], Operations: ['60-23=37']
Exploring Operation: 39+37=76, Resulting Numbers: [36, 76]
Generated Node #0,2,0: 43:[36, 76] Operation: 39+37=76
Exploring Operation: 36+39=75, Resulting Numbers: [37, 75]
Generated Node #0,2,1: 43:[37, 75] Operation: 36+39=75
Exploring Operation: 36+37=73, Resulting Numbers: [39, 73]
Generated Node #0,2,2: 43:[39, 73] Operation: 36+37=73
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 43:[39, 73], Operations: ['60-23=37', '36+37=73']
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,43 unequal: No Solution
Exploring Operation: 39+73=112, Resulting Numbers: [112]
112,43 unequal: No Solution
Exploring Operation: 39*73=2847, Resulting Numbers: [2847]
2847,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 43:[37, 75], Operations: ['60-23=37', '36+39=75']
Exploring Operation: 37*75=2775, Resulting Numbers: [2775]
2775,43 unequal: No Solution
Exploring Operation: 37+75=112, Resulting Numbers: [112]
112,43 unequal: No Solution
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 43:[36, 76], Operations: ['60-23=37', '39+37=76']
Exploring Operation: 76-36=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Exploring Operation: 36+76=112, Resulting Numbers: [112]
112,43 unequal: No Solution
Exploring Operation: 36*76=2736, Resulting Numbers: [2736]
2736,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 43:[60, 39, 59], Operations: ['36+23=59']
Exploring Operation: 60-39=21, Resulting Numbers: [59, 21]
Generated Node #0,0,0: 43:[59, 21] Operation: 60-39=21
Exploring Operation: 59-39=20, Resulting Numbers: [60, 20]
Generated Node #0,0,1: 43:[60, 20] Operation: 59-39=20
Exploring Operation: 60-59=1, Resulting Numbers: [39, 1]
Generated Node #0,0,2: 43:[39, 1] Operation: 60-59=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[59, 21], Operations: ['36+23=59', '60-39=21']
Exploring Operation: 59*21=1239, Resulting Numbers: [1239]
1239,43 unequal: No Solution
Exploring Operation: 59+21=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 59-21=38, Resulting Numbers: [38]
38,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 43:[60, 20], Operations: ['36+23=59', '59-39=20']
Exploring Operation: 60+20=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 60-20=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Exploring Operation: 60/20=3, Resulting Numbers: [3]
3,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 43:[39, 1], Operations: ['36+23=59', '60-59=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,43 unequal: No Solution
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,43 unequal: No Solution
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 43:[23, 39, 24], Operations: ['60-36=24']
Exploring Operation: 39+24=63, Resulting Numbers: [23, 63]
Generated Node #0,1,0: 43:[23, 63] Operation: 39+24=63
Exploring Operation: 23+24=47, Resulting Numbers: [39, 47]
Generated Node #0,1,1: 43:[39, 47] Operation: 23+24=47
Exploring Operation: 23+39=62, Resulting Numbers: [24, 62]
Generated Node #0,1,2: 43:[24, 62] Operation: 23+39=62
Moving to Node #0,1,1
Current State: 43:[39, 47], Operations: ['60-36=24', '23+24=47']
Exploring Operation: 39*47=1833, Resulting Numbers: [1833]
1833,43 unequal: No Solution
Exploring Operation: 39+47=86, Resulting Numbers: [86]
86,43 unequal: No Solution
Exploring Operation: 47-39=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Moving to Node #0,1,2
Current State: 43:[24, 62], Operations: ['60-36=24', '23+39=62']
Exploring Operation: 24*62=1488, Resulting Numbers: [1488]
1488,43 unequal: No Solution
Exploring Operation: 24+62=86, Resulting Numbers: [86]
86,43 unequal: No Solution
Exploring Operation: 62-24=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[23, 63], Operations: ['60-36=24', '39+24=63']
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Exploring Operation: 23*63=1449, Resulting Numbers: [1449]
1449,43 unequal: No Solution
Exploring Operation: 23+63=86, Resulting Numbers: [86]
86,43 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
50,
80,
68,
5
] | 43 | [
"80-50=30",
"68+5=73",
"73-30=43"
] | Current State: 43:[50, 80, 68, 5], Operations: []
Exploring Operation: 80-50=30, Resulting Numbers: [68, 5, 30]
Generated Node #2: [68, 5, 30] from Operation: 80-50=30
Current State: 43:[68, 5, 30], Operations: ['80-50=30']
Exploring Operation: 68+5=73, Resulting Numbers: [30, 73]
Generated Node #3: [30, 73] from Operation: 68+5=73
Current State: 43:[30, 73], Operations: ['80-50=30', '68+5=73']
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[50, 80, 68, 5], Operations: []
Exploring Operation: 80-5=75, Resulting Numbers: [50, 68, 75]
Generated Node #0,0: 43:[50, 68, 75] Operation: 80-5=75
Exploring Operation: 50-5=45, Resulting Numbers: [80, 68, 45]
Generated Node #0,1: 43:[80, 68, 45] Operation: 50-5=45
Exploring Operation: 80/5=16, Resulting Numbers: [50, 68, 16]
Generated Node #0,2: 43:[50, 68, 16] Operation: 80/5=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[50, 68, 16], Operations: ['80/5=16']
Exploring Operation: 68-16=52, Resulting Numbers: [50, 52]
Generated Node #0,2,0: 43:[50, 52] Operation: 68-16=52
Exploring Operation: 50-16=34, Resulting Numbers: [68, 34]
Generated Node #0,2,1: 43:[68, 34] Operation: 50-16=34
Exploring Operation: 50+16=66, Resulting Numbers: [68, 66]
Generated Node #0,2,2: 43:[68, 66] Operation: 50+16=66
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 43:[50, 52], Operations: ['80/5=16', '68-16=52']
Exploring Operation: 50*52=2600, Resulting Numbers: [2600]
2600,43 unequal: No Solution
Exploring Operation: 50+52=102, Resulting Numbers: [102]
102,43 unequal: No Solution
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,43 unequal: No Solution
No 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: 43:[68, 34], Operations: ['80/5=16', '50-16=34']
Exploring Operation: 68/34=2, Resulting Numbers: [2]
2,43 unequal: No Solution
Exploring Operation: 68+34=102, Resulting Numbers: [102]
102,43 unequal: No Solution
Exploring Operation: 68-34=34, Resulting Numbers: [34]
34,43 unequal: No Solution
No 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: 43:[68, 66], Operations: ['80/5=16', '50+16=66']
Exploring Operation: 68*66=4488, Resulting Numbers: [4488]
4488,43 unequal: No Solution
Exploring Operation: 68+66=134, Resulting Numbers: [134]
134,43 unequal: No Solution
Exploring Operation: 68-66=2, Resulting Numbers: [2]
2,43 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: 43:[50, 68, 75], Operations: ['80-5=75']
Exploring Operation: 75-68=7, Resulting Numbers: [50, 7]
Generated Node #0,0,0: 43:[50, 7] Operation: 75-68=7
Exploring Operation: 75-50=25, Resulting Numbers: [68, 25]
Generated Node #0,0,1: 43:[68, 25] Operation: 75-50=25
Exploring Operation: 68-50=18, Resulting Numbers: [75, 18]
Generated Node #0,0,2: 43:[75, 18] Operation: 68-50=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[50, 7], Operations: ['80-5=75', '75-68=7']
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[50, 80, 68, 5], Operations: []
Exploring Operation: 80-5=75, Resulting Numbers: [50, 68, 75]
Generated Node #0,0: 43:[50, 68, 75] Operation: 80-5=75
Moving to Node #0,0
Current State: 43:[50, 68, 75], Operations: ['80-5=75']
Exploring Operation: 75-68=7, Resulting Numbers: [50, 7]
Generated Node #0,0,0: 43:[50, 7] Operation: 75-68=7
Moving to Node #0,0,0
Current State: 43:[50, 7], Operations: ['80-5=75', '75-68=7']
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
7,
89,
97,
26
] | 25 | [
"7+89=96",
"97-26=71",
"96-71=25"
] | Current State: 25:[7, 89, 97, 26], Operations: []
Exploring Operation: 7+89=96, Resulting Numbers: [97, 26, 96]
Generated Node #2: [97, 26, 96] from Operation: 7+89=96
Current State: 25:[97, 26, 96], Operations: ['7+89=96']
Exploring Operation: 97-26=71, Resulting Numbers: [96, 71]
Generated Node #3: [96, 71] from Operation: 97-26=71
Current State: 25:[96, 71], Operations: ['7+89=96', '97-26=71']
Exploring Operation: 96-71=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[7, 89, 97, 26], Operations: []
Exploring Operation: 89-26=63, Resulting Numbers: [7, 97, 63]
Generated Node #0,0: 25:[7, 97, 63] Operation: 89-26=63
Exploring Operation: 97-89=8, Resulting Numbers: [7, 26, 8]
Generated Node #0,1: 25:[7, 26, 8] Operation: 97-89=8
Exploring Operation: 97-26=71, Resulting Numbers: [7, 89, 71]
Generated Node #0,2: 25:[7, 89, 71] Operation: 97-26=71
Exploring Operation: 89-7=82, Resulting Numbers: [97, 26, 82]
Generated Node #0,3: 25:[97, 26, 82] Operation: 89-7=82
Exploring Operation: 97-7=90, Resulting Numbers: [89, 26, 90]
Generated Node #0,4: 25:[89, 26, 90] Operation: 97-7=90
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[7, 26, 8], Operations: ['97-89=8']
Exploring Operation: 7+8=15, Resulting Numbers: [26, 15]
Generated Node #0,1,0: 25:[26, 15] Operation: 7+8=15
Exploring Operation: 7+26=33, Resulting Numbers: [8, 33]
Generated Node #0,1,1: 25:[8, 33] Operation: 7+26=33
Exploring Operation: 26-7=19, Resulting Numbers: [8, 19]
Generated Node #0,1,2: 25:[8, 19] Operation: 26-7=19
Exploring Operation: 8-7=1, Resulting Numbers: [26, 1]
Generated Node #0,1,3: 25:[26, 1] Operation: 8-7=1
Exploring Operation: 26-8=18, Resulting Numbers: [7, 18]
Generated Node #0,1,4: 25:[7, 18] Operation: 26-8=18
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 25:[26, 1], Operations: ['97-89=8', '8-7=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,25 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[7, 89, 97, 26], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [7, 26, 8]
Generated Node #0,1: 25:[7, 26, 8] Operation: 97-89=8
Moving to Node #0,1
Current State: 25:[7, 26, 8], Operations: ['97-89=8']
Exploring Operation: 8-7=1, Resulting Numbers: [26, 1]
Generated Node #0,1,3: 25:[26, 1] Operation: 8-7=1
Moving to Node #0,1,3
Current State: 25:[26, 1], Operations: ['97-89=8', '8-7=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
11,
13,
48,
92
] | 52 | [
"92-48=44",
"44/11=4",
"13*4=52"
] | Current State: 52:[11, 13, 48, 92], Operations: []
Exploring Operation: 92-48=44, Resulting Numbers: [11, 13, 44]
Generated Node #2: [11, 13, 44] from Operation: 92-48=44
Current State: 52:[11, 13, 44], Operations: ['92-48=44']
Exploring Operation: 44/11=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 44/11=4
Current State: 52:[13, 4], Operations: ['92-48=44', '44/11=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[11, 13, 48, 92], Operations: []
Exploring Operation: 92-48=44, Resulting Numbers: [11, 13, 44]
Generated Node #0,0: 52:[11, 13, 44] Operation: 92-48=44
Exploring Operation: 92-11=81, Resulting Numbers: [13, 48, 81]
Generated Node #0,1: 52:[13, 48, 81] Operation: 92-11=81
Moving to Node #0,0
Current State: 52:[11, 13, 44], Operations: ['92-48=44']
Exploring Operation: 11+44=55, Resulting Numbers: [13, 55]
Generated Node #0,0,0: 52:[13, 55] Operation: 11+44=55
Exploring Operation: 44/11=4, Resulting Numbers: [13, 4]
Generated Node #0,0,1: 52:[13, 4] Operation: 44/11=4
Moving to Node #0,1
Current State: 52:[13, 48, 81], Operations: ['92-11=81']
Exploring Operation: 81-48=33, Resulting Numbers: [13, 33]
Generated Node #0,1,0: 52:[13, 33] Operation: 81-48=33
Exploring Operation: 81-13=68, Resulting Numbers: [48, 68]
Generated Node #0,1,1: 52:[48, 68] Operation: 81-13=68
Moving to Node #0,0,1
Current State: 52:[13, 4], Operations: ['92-48=44', '44/11=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[11, 13, 48, 92], Operations: []
Exploring Operation: 92-48=44, Resulting Numbers: [11, 13, 44]
Generated Node #0,0: 52:[11, 13, 44] Operation: 92-48=44
Moving to Node #0,0
Current State: 52:[11, 13, 44], Operations: ['92-48=44']
Exploring Operation: 44/11=4, Resulting Numbers: [13, 4]
Generated Node #0,0,1: 52:[13, 4] Operation: 44/11=4
Moving to Node #0,0,1
Current State: 52:[13, 4], Operations: ['92-48=44', '44/11=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
50,
78,
40,
73
] | 18 | [
"50+40=90",
"78-73=5",
"90/5=18"
] | Current State: 18:[50, 78, 40, 73], Operations: []
Exploring Operation: 50+40=90, Resulting Numbers: [78, 73, 90]
Generated Node #2: [78, 73, 90] from Operation: 50+40=90
Current State: 18:[78, 73, 90], Operations: ['50+40=90']
Exploring Operation: 78-73=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 78-73=5
Current State: 18:[90, 5], Operations: ['50+40=90', '78-73=5']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[50, 78, 40, 73], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [50, 40, 5]
Generated Node #0,0: 18:[50, 40, 5] Operation: 78-73=5
Exploring Operation: 78-50=28, Resulting Numbers: [40, 73, 28]
Generated Node #0,1: 18:[40, 73, 28] Operation: 78-50=28
Moving to Node #0,0
Current State: 18:[50, 40, 5], Operations: ['78-73=5']
Exploring Operation: 50-40=10, Resulting Numbers: [5, 10]
Generated Node #0,0,0: 18:[5, 10] Operation: 50-40=10
Exploring Operation: 50/5=10, Resulting Numbers: [40, 10]
Generated Node #0,0,1: 18:[40, 10] Operation: 50/5=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[5, 10], Operations: ['78-73=5', '50-40=10']
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 18:[40, 10], Operations: ['78-73=5', '50/5=10']
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 18:[40, 73, 28], Operations: ['78-50=28']
Exploring Operation: 73-28=45, Resulting Numbers: [40, 45]
Generated Node #0,1,0: 18:[40, 45] Operation: 73-28=45
Exploring Operation: 73-40=33, Resulting Numbers: [28, 33]
Generated Node #0,1,1: 18:[28, 33] Operation: 73-40=33
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[28, 33], Operations: ['78-50=28', '73-40=33']
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 28+33=61, Resulting Numbers: [61]
61,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[40, 45], Operations: ['78-50=28', '73-28=45']
Exploring Operation: 40+45=85, Resulting Numbers: [85]
85,18 unequal: No Solution
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
10,
37,
74,
55
] | 28 | [
"10+37=47",
"74-55=19",
"47-19=28"
] | Current State: 28:[10, 37, 74, 55], Operations: []
Exploring Operation: 10+37=47, Resulting Numbers: [74, 55, 47]
Generated Node #2: [74, 55, 47] from Operation: 10+37=47
Current State: 28:[74, 55, 47], Operations: ['10+37=47']
Exploring Operation: 74-55=19, Resulting Numbers: [47, 19]
Generated Node #3: [47, 19] from Operation: 74-55=19
Current State: 28:[47, 19], Operations: ['10+37=47', '74-55=19']
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[10, 37, 74, 55], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [10, 55, 2]
Generated Node #0,0: 28:[10, 55, 2] Operation: 74/37=2
Exploring Operation: 74-37=37, Resulting Numbers: [10, 55, 37]
Generated Node #0,1: 28:[10, 55, 37] Operation: 74-37=37
Exploring Operation: 55-37=18, Resulting Numbers: [10, 74, 18]
Generated Node #0,2: 28:[10, 74, 18] Operation: 55-37=18
Exploring Operation: 74-55=19, Resulting Numbers: [10, 37, 19]
Generated Node #0,3: 28:[10, 37, 19] Operation: 74-55=19
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[10, 37, 19], Operations: ['74-55=19']
Exploring Operation: 37-19=18, Resulting Numbers: [10, 18]
Generated Node #0,3,0: 28:[10, 18] Operation: 37-19=18
Exploring Operation: 19-10=9, Resulting Numbers: [37, 9]
Generated Node #0,3,1: 28:[37, 9] Operation: 19-10=9
Exploring Operation: 37-10=27, Resulting Numbers: [19, 27]
Generated Node #0,3,2: 28:[19, 27] Operation: 37-10=27
Exploring Operation: 10+19=29, Resulting Numbers: [37, 29]
Generated Node #0,3,3: 28:[37, 29] Operation: 10+19=29
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 28:[19, 27], Operations: ['74-55=19', '37-10=27']
Exploring Operation: 19+27=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Exploring Operation: 19*27=513, Resulting Numbers: [513]
513,28 unequal: No Solution
Exploring Operation: 27-19=8, Resulting Numbers: [8]
8,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 28:[10, 18], Operations: ['74-55=19', '37-19=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[10, 37, 74, 55], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [10, 37, 19]
Generated Node #0,3: 28:[10, 37, 19] Operation: 74-55=19
Moving to Node #0,3
Current State: 28:[10, 37, 19], Operations: ['74-55=19']
Exploring Operation: 37-19=18, Resulting Numbers: [10, 18]
Generated Node #0,3,0: 28:[10, 18] Operation: 37-19=18
Moving to Node #0,3,0
Current State: 28:[10, 18], Operations: ['74-55=19', '37-19=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
5,
36,
81,
80
] | 41 | [
"5+36=41",
"81-80=1",
"41*1=41"
] | Current State: 41:[5, 36, 81, 80], Operations: []
Exploring Operation: 5+36=41, Resulting Numbers: [81, 80, 41]
Generated Node #2: [81, 80, 41] from Operation: 5+36=41
Current State: 41:[81, 80, 41], Operations: ['5+36=41']
Exploring Operation: 81-80=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 81-80=1
Current State: 41:[41, 1], Operations: ['5+36=41', '81-80=1']
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[5, 36, 81, 80], Operations: []
Exploring Operation: 80-5=75, Resulting Numbers: [36, 81, 75]
Generated Node #0,0: 41:[36, 81, 75] Operation: 80-5=75
Exploring Operation: 81-5=76, Resulting Numbers: [36, 80, 76]
Generated Node #0,1: 41:[36, 80, 76] Operation: 81-5=76
Exploring Operation: 80/5=16, Resulting Numbers: [36, 81, 16]
Generated Node #0,2: 41:[36, 81, 16] Operation: 80/5=16
Exploring Operation: 5+36=41, Resulting Numbers: [81, 80, 41]
Generated Node #0,3: 41:[81, 80, 41] Operation: 5+36=41
Exploring Operation: 81-36=45, Resulting Numbers: [5, 80, 45]
Generated Node #0,4: 41:[5, 80, 45] Operation: 81-36=45
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[36, 81, 16], Operations: ['80/5=16']
Exploring Operation: 36+16=52, Resulting Numbers: [81, 52]
Generated Node #0,2,0: 41:[81, 52] Operation: 36+16=52
Exploring Operation: 81-16=65, Resulting Numbers: [36, 65]
Generated Node #0,2,1: 41:[36, 65] Operation: 81-16=65
Exploring Operation: 81+16=97, Resulting Numbers: [36, 97]
Generated Node #0,2,2: 41:[36, 97] Operation: 81+16=97
Exploring Operation: 81-36=45, Resulting Numbers: [16, 45]
Generated Node #0,2,3: 41:[16, 45] Operation: 81-36=45
Exploring Operation: 36-16=20, Resulting Numbers: [81, 20]
Generated Node #0,2,4: 41:[81, 20] Operation: 36-16=20
Moving to Node #0,2,1
Current State: 41:[36, 65], Operations: ['80/5=16', '81-16=65']
Exploring Operation: 36*65=2340, Resulting Numbers: [2340]
2340,41 unequal: No Solution
Exploring Operation: 36+65=101, Resulting Numbers: [101]
101,41 unequal: No Solution
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[16, 45], Operations: ['80/5=16', '81-36=45']
Exploring Operation: 16*45=720, Resulting Numbers: [720]
720,41 unequal: No Solution
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,41 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[81, 52], Operations: ['80/5=16', '36+16=52']
Exploring Operation: 81*52=4212, Resulting Numbers: [4212]
4212,41 unequal: No Solution
Exploring Operation: 81-52=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 81+52=133, Resulting Numbers: [133]
133,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[36, 97], Operations: ['80/5=16', '81+16=97']
Exploring Operation: 36*97=3492, Resulting Numbers: [3492]
3492,41 unequal: No Solution
Exploring Operation: 36+97=133, Resulting Numbers: [133]
133,41 unequal: No Solution
Exploring Operation: 97-36=61, Resulting Numbers: [61]
61,41 unequal: No Solution
Moving to Node #0,2,4
Current State: 41:[81, 20], Operations: ['80/5=16', '36-16=20']
Exploring Operation: 81*20=1620, Resulting Numbers: [1620]
1620,41 unequal: No Solution
Exploring Operation: 81+20=101, Resulting Numbers: [101]
101,41 unequal: No Solution
Exploring Operation: 81-20=61, Resulting Numbers: [61]
61,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[36, 81, 75], Operations: ['80-5=75']
Exploring Operation: 81-36=45, Resulting Numbers: [75, 45]
Generated Node #0,0,0: 41:[75, 45] Operation: 81-36=45
Exploring Operation: 81-75=6, Resulting Numbers: [36, 6]
Generated Node #0,0,1: 41:[36, 6] Operation: 81-75=6
Exploring Operation: 36+81=117, Resulting Numbers: [75, 117]
Generated Node #0,0,2: 41:[75, 117] Operation: 36+81=117
Exploring Operation: 75-36=39, Resulting Numbers: [81, 39]
Generated Node #0,0,3: 41:[81, 39] Operation: 75-36=39
Exploring Operation: 36+75=111, Resulting Numbers: [81, 111]
Generated Node #0,0,4: 41:[81, 111] Operation: 36+75=111
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[75, 45], Operations: ['80-5=75', '81-36=45']
Exploring Operation: 75+45=120, Resulting Numbers: [120]
120,41 unequal: No Solution
Exploring Operation: 75-45=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 75*45=3375, Resulting Numbers: [3375]
3375,41 unequal: No Solution
No 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: 41:[36, 6], Operations: ['80-5=75', '81-75=6']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 36*6=216, Resulting Numbers: [216]
216,41 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,41 unequal: No Solution
No 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: 41:[81, 39], Operations: ['80-5=75', '75-36=39']
Exploring Operation: 81+39=120, Resulting Numbers: [120]
120,41 unequal: No Solution
Exploring Operation: 81-39=42, Resulting Numbers: [42]
42,41 unequal: No Solution
Exploring Operation: 81*39=3159, Resulting Numbers: [3159]
3159,41 unequal: No Solution
No 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: 41:[75, 117], Operations: ['80-5=75', '36+81=117']
Exploring Operation: 75*117=8775, Resulting Numbers: [8775]
8775,41 unequal: No Solution
Exploring Operation: 117-75=42, Resulting Numbers: [42]
42,41 unequal: No Solution
Exploring Operation: 75+117=192, Resulting Numbers: [192]
192,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 41:[81, 111], Operations: ['80-5=75', '36+75=111']
Exploring Operation: 81+111=192, Resulting Numbers: [192]
192,41 unequal: No Solution
Exploring Operation: 111-81=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 81*111=8991, Resulting Numbers: [8991]
8991,41 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[36, 80, 76], Operations: ['81-5=76']
Exploring Operation: 36+80=116, Resulting Numbers: [76, 116]
Generated Node #0,1,0: 41:[76, 116] Operation: 36+80=116
Exploring Operation: 76-36=40, Resulting Numbers: [80, 40]
Generated Node #0,1,1: 41:[80, 40] Operation: 76-36=40
Exploring Operation: 80-36=44, Resulting Numbers: [76, 44]
Generated Node #0,1,2: 41:[76, 44] Operation: 80-36=44
Exploring Operation: 80-76=4, Resulting Numbers: [36, 4]
Generated Node #0,1,3: 41:[36, 4] Operation: 80-76=4
Exploring Operation: 36+76=112, Resulting Numbers: [80, 112]
Generated Node #0,1,4: 41:[80, 112] Operation: 36+76=112
Moving to Node #0,1,2
Current State: 41:[76, 44], Operations: ['81-5=76', '80-36=44']
Exploring Operation: 76-44=32, Resulting Numbers: [32]
32,41 unequal: No Solution
Exploring Operation: 76*44=3344, Resulting Numbers: [3344]
3344,41 unequal: No Solution
Exploring Operation: 76+44=120, Resulting Numbers: [120]
120,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[80, 40], Operations: ['81-5=76', '76-36=40']
Exploring Operation: 80*40=3200, Resulting Numbers: [3200]
3200,41 unequal: No Solution
Exploring Operation: 80/40=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 80+40=120, Resulting Numbers: [120]
120,41 unequal: No Solution
Exploring Operation: 80-40=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[36, 4], Operations: ['81-5=76', '80-76=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,41 unequal: No Solution
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,41 unequal: No Solution
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[76, 116], Operations: ['81-5=76', '36+80=116']
Exploring Operation: 76*116=8816, Resulting Numbers: [8816]
8816,41 unequal: No Solution
Exploring Operation: 76+116=192, Resulting Numbers: [192]
192,41 unequal: No Solution
Exploring Operation: 116-76=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Moving to Node #0,1,4
Current State: 41:[80, 112], Operations: ['81-5=76', '36+76=112']
Exploring Operation: 80+112=192, Resulting Numbers: [192]
192,41 unequal: No Solution
Exploring Operation: 112-80=32, Resulting Numbers: [32]
32,41 unequal: No Solution
Exploring Operation: 80*112=8960, Resulting Numbers: [8960]
8960,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[81, 80, 41], Operations: ['5+36=41']
Exploring Operation: 81+80=161, Resulting Numbers: [41, 161]
Generated Node #0,3,0: 41:[41, 161] Operation: 81+80=161
Exploring Operation: 80-41=39, Resulting Numbers: [81, 39]
Generated Node #0,3,1: 41:[81, 39] Operation: 80-41=39
Exploring Operation: 81-80=1, Resulting Numbers: [41, 1]
Generated Node #0,3,2: 41:[41, 1] Operation: 81-80=1
Exploring Operation: 81+41=122, Resulting Numbers: [80, 122]
Generated Node #0,3,3: 41:[80, 122] Operation: 81+41=122
Exploring Operation: 81-41=40, Resulting Numbers: [80, 40]
Generated Node #0,3,4: 41:[80, 40] Operation: 81-41=40
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 41:[41, 1], Operations: ['5+36=41', '81-80=1']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[5, 36, 81, 80], Operations: []
Exploring Operation: 5+36=41, Resulting Numbers: [81, 80, 41]
Generated Node #0,3: 41:[81, 80, 41] Operation: 5+36=41
Moving to Node #0,3
Current State: 41:[81, 80, 41], Operations: ['5+36=41']
Exploring Operation: 81-80=1, Resulting Numbers: [41, 1]
Generated Node #0,3,2: 41:[41, 1] Operation: 81-80=1
Moving to Node #0,3,2
Current State: 41:[41, 1], Operations: ['5+36=41', '81-80=1']
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.931424 | hs_5 | sum_heuristic |
[
54,
31,
90,
53
] | 14 | [
"54-31=23",
"90-53=37",
"37-23=14"
] | Current State: 14:[54, 31, 90, 53], Operations: []
Exploring Operation: 54-31=23, Resulting Numbers: [90, 53, 23]
Generated Node #2: [90, 53, 23] from Operation: 54-31=23
Current State: 14:[90, 53, 23], Operations: ['54-31=23']
Exploring Operation: 90-53=37, Resulting Numbers: [23, 37]
Generated Node #3: [23, 37] from Operation: 90-53=37
Current State: 14:[23, 37], Operations: ['54-31=23', '90-53=37']
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[54, 31, 90, 53], Operations: []
Exploring Operation: 90-53=37, Resulting Numbers: [54, 31, 37]
Generated Node #0,0: 14:[54, 31, 37] Operation: 90-53=37
Exploring Operation: 54-31=23, Resulting Numbers: [90, 53, 23]
Generated Node #0,1: 14:[90, 53, 23] Operation: 54-31=23
Exploring Operation: 54-53=1, Resulting Numbers: [31, 90, 1]
Generated Node #0,2: 14:[31, 90, 1] Operation: 54-53=1
Exploring Operation: 90-54=36, Resulting Numbers: [31, 53, 36]
Generated Node #0,3: 14:[31, 53, 36] Operation: 90-54=36
Moving to Node #0,3
Current State: 14:[31, 53, 36], Operations: ['90-54=36']
Exploring Operation: 36-31=5, Resulting Numbers: [53, 5]
Generated Node #0,3,0: 14:[53, 5] Operation: 36-31=5
Exploring Operation: 31+53=84, Resulting Numbers: [36, 84]
Generated Node #0,3,1: 14:[36, 84] Operation: 31+53=84
Exploring Operation: 53-31=22, Resulting Numbers: [36, 22]
Generated Node #0,3,2: 14:[36, 22] Operation: 53-31=22
Exploring Operation: 53-36=17, Resulting Numbers: [31, 17]
Generated Node #0,3,3: 14:[31, 17] Operation: 53-36=17
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 14:[31, 17], Operations: ['90-54=36', '53-36=17']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[54, 31, 90, 53], Operations: []
Exploring Operation: 90-54=36, Resulting Numbers: [31, 53, 36]
Generated Node #0,3: 14:[31, 53, 36] Operation: 90-54=36
Moving to Node #0,3
Current State: 14:[31, 53, 36], Operations: ['90-54=36']
Exploring Operation: 53-36=17, Resulting Numbers: [31, 17]
Generated Node #0,3,3: 14:[31, 17] Operation: 53-36=17
Moving to Node #0,3,3
Current State: 14:[31, 17], Operations: ['90-54=36', '53-36=17']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
28,
39,
26,
33
] | 35 | [
"33-26=7",
"28/7=4",
"39-4=35"
] | Current State: 35:[28, 39, 26, 33], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [28, 39, 7]
Generated Node #2: [28, 39, 7] from Operation: 33-26=7
Current State: 35:[28, 39, 7], Operations: ['33-26=7']
Exploring Operation: 28/7=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 28/7=4
Current State: 35:[39, 4], Operations: ['33-26=7', '28/7=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[28, 39, 26, 33], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [39, 33, 2]
Generated Node #0,0: 35:[39, 33, 2] Operation: 28-26=2
Exploring Operation: 33-28=5, Resulting Numbers: [39, 26, 5]
Generated Node #0,1: 35:[39, 26, 5] Operation: 33-28=5
Exploring Operation: 33-26=7, Resulting Numbers: [28, 39, 7]
Generated Node #0,2: 35:[28, 39, 7] Operation: 33-26=7
Exploring Operation: 39-28=11, Resulting Numbers: [26, 33, 11]
Generated Node #0,3: 35:[26, 33, 11] Operation: 39-28=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[39, 33, 2], Operations: ['28-26=2']
Exploring Operation: 39+2=41, Resulting Numbers: [33, 41]
Generated Node #0,0,0: 35:[33, 41] Operation: 39+2=41
Exploring Operation: 39-2=37, Resulting Numbers: [33, 37]
Generated Node #0,0,1: 35:[33, 37] Operation: 39-2=37
Exploring Operation: 39-33=6, Resulting Numbers: [2, 6]
Generated Node #0,0,2: 35:[2, 6] Operation: 39-33=6
Exploring Operation: 33+2=35, Resulting Numbers: [39, 35]
Generated Node #0,0,3: 35:[39, 35] Operation: 33+2=35
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[33, 37], Operations: ['28-26=2', '39-2=37']
Exploring Operation: 33*37=1221, Resulting Numbers: [1221]
1221,35 unequal: No Solution
Exploring Operation: 33+37=70, Resulting Numbers: [70]
70,35 unequal: No Solution
Exploring Operation: 37-33=4, Resulting Numbers: [4]
4,35 unequal: No Solution
No 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: 35:[2, 6], Operations: ['28-26=2', '39-33=6']
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,35 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,35 unequal: No Solution
No 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: 35:[39, 35], Operations: ['28-26=2', '33+2=35']
Exploring Operation: 39*35=1365, Resulting Numbers: [1365]
1365,35 unequal: No Solution
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,35 unequal: No Solution
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,35 unequal: No Solution
No 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: 35:[33, 41], Operations: ['28-26=2', '39+2=41']
Exploring Operation: 33+41=74, Resulting Numbers: [74]
74,35 unequal: No Solution
Exploring Operation: 33*41=1353, Resulting Numbers: [1353]
1353,35 unequal: No Solution
Exploring Operation: 41-33=8, Resulting Numbers: [8]
8,35 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: 35:[28, 39, 7], Operations: ['33-26=7']
Exploring Operation: 39-7=32, Resulting Numbers: [28, 32]
Generated Node #0,2,0: 35:[28, 32] Operation: 39-7=32
Exploring Operation: 39-28=11, Resulting Numbers: [7, 11]
Generated Node #0,2,1: 35:[7, 11] Operation: 39-28=11
Exploring Operation: 28/7=4, Resulting Numbers: [39, 4]
Generated Node #0,2,2: 35:[39, 4] Operation: 28/7=4
Exploring Operation: 28+7=35, Resulting Numbers: [39, 35]
Generated Node #0,2,3: 35:[39, 35] Operation: 28+7=35
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 35:[7, 11], Operations: ['33-26=7', '39-28=11']
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,35 unequal: No Solution
No 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: 35:[39, 35], Operations: ['33-26=7', '28+7=35']
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,35 unequal: No Solution
Exploring Operation: 39*35=1365, Resulting Numbers: [1365]
1365,35 unequal: No Solution
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,35 unequal: No Solution
No 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: 35:[39, 4], Operations: ['33-26=7', '28/7=4']
Exploring Operation: 39*4=156, Resulting Numbers: [156]
156,35 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[28, 39, 26, 33], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [28, 39, 7]
Generated Node #0,2: 35:[28, 39, 7] Operation: 33-26=7
Moving to Node #0,2
Current State: 35:[28, 39, 7], Operations: ['33-26=7']
Exploring Operation: 28/7=4, Resulting Numbers: [39, 4]
Generated Node #0,2,2: 35:[39, 4] Operation: 28/7=4
Moving to Node #0,2,2
Current State: 35:[39, 4], Operations: ['33-26=7', '28/7=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_4 | mult_heuristic |
[
50,
95,
16,
2
] | 80 | [
"50*2=100",
"100-95=5",
"16*5=80"
] | Current State: 80:[50, 95, 16, 2], Operations: []
Exploring Operation: 50*2=100, Resulting Numbers: [95, 16, 100]
Generated Node #2: [95, 16, 100] from Operation: 50*2=100
Current State: 80:[95, 16, 100], Operations: ['50*2=100']
Exploring Operation: 100-95=5, Resulting Numbers: [16, 5]
Generated Node #3: [16, 5] from Operation: 100-95=5
Current State: 80:[16, 5], Operations: ['50*2=100', '100-95=5']
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[50, 95, 16, 2], Operations: []
Exploring Operation: 95-50=45, Resulting Numbers: [16, 2, 45]
Generated Node #0,0: 80:[16, 2, 45] Operation: 95-50=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[16, 2, 45], Operations: ['95-50=45']
Exploring Operation: 45-2=43, Resulting Numbers: [16, 43]
Generated Node #0,0,0: 80:[16, 43] Operation: 45-2=43
Moving to Node #0,0,0
Current State: 80:[16, 43], Operations: ['95-50=45', '45-2=43']
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
48,
43,
38,
58
] | 25 | [
"48-43=5",
"58-38=20",
"5+20=25"
] | Current State: 25:[48, 43, 38, 58], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [38, 58, 5]
Generated Node #2: [38, 58, 5] from Operation: 48-43=5
Current State: 25:[38, 58, 5], Operations: ['48-43=5']
Exploring Operation: 58-38=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 58-38=20
Current State: 25:[5, 20], Operations: ['48-43=5', '58-38=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[48, 43, 38, 58], Operations: []
Exploring Operation: 58-43=15, Resulting Numbers: [48, 38, 15]
Generated Node #0,0: 25:[48, 38, 15] Operation: 58-43=15
Exploring Operation: 48-43=5, Resulting Numbers: [38, 58, 5]
Generated Node #0,1: 25:[38, 58, 5] Operation: 48-43=5
Exploring Operation: 58-48=10, Resulting Numbers: [43, 38, 10]
Generated Node #0,2: 25:[43, 38, 10] Operation: 58-48=10
Moving to Node #0,2
Current State: 25:[43, 38, 10], Operations: ['58-48=10']
Exploring Operation: 38-10=28, Resulting Numbers: [43, 28]
Generated Node #0,2,0: 25:[43, 28] Operation: 38-10=28
Exploring Operation: 43-10=33, Resulting Numbers: [38, 33]
Generated Node #0,2,1: 25:[38, 33] Operation: 43-10=33
Exploring Operation: 43-38=5, Resulting Numbers: [10, 5]
Generated Node #0,2,2: 25:[10, 5] Operation: 43-38=5
Moving to Node #0,0
Current State: 25:[48, 38, 15], Operations: ['58-43=15']
Exploring Operation: 48-15=33, Resulting Numbers: [38, 33]
Generated Node #0,0,0: 25:[38, 33] Operation: 48-15=33
Exploring Operation: 38-15=23, Resulting Numbers: [48, 23]
Generated Node #0,0,1: 25:[48, 23] Operation: 38-15=23
Exploring Operation: 48-38=10, Resulting Numbers: [15, 10]
Generated Node #0,0,2: 25:[15, 10] Operation: 48-38=10
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[15, 10], Operations: ['58-43=15', '48-38=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[48, 43, 38, 58], Operations: []
Exploring Operation: 58-43=15, Resulting Numbers: [48, 38, 15]
Generated Node #0,0: 25:[48, 38, 15] Operation: 58-43=15
Moving to Node #0,0
Current State: 25:[48, 38, 15], Operations: ['58-43=15']
Exploring Operation: 48-38=10, Resulting Numbers: [15, 10]
Generated Node #0,0,2: 25:[15, 10] Operation: 48-38=10
Moving to Node #0,0,2
Current State: 25:[15, 10], Operations: ['58-43=15', '48-38=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
34,
39,
18,
48
] | 70 | [
"39*48=1872",
"1872/18=104",
"104-34=70"
] | Current State: 70:[34, 39, 18, 48], Operations: []
Exploring Operation: 39*48=1872, Resulting Numbers: [34, 18, 1872]
Generated Node #2: [34, 18, 1872] from Operation: 39*48=1872
Current State: 70:[34, 18, 1872], Operations: ['39*48=1872']
Exploring Operation: 1872/18=104, Resulting Numbers: [34, 104]
Generated Node #3: [34, 104] from Operation: 1872/18=104
Current State: 70:[34, 104], Operations: ['39*48=1872', '1872/18=104']
Exploring Operation: 104-34=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[34, 39, 18, 48], Operations: []
Exploring Operation: 48-39=9, Resulting Numbers: [34, 18, 9]
Generated Node #0,0: 70:[34, 18, 9] Operation: 48-39=9
Exploring Operation: 48-34=14, Resulting Numbers: [39, 18, 14]
Generated Node #0,1: 70:[39, 18, 14] Operation: 48-34=14
Exploring Operation: 18+48=66, Resulting Numbers: [34, 39, 66]
Generated Node #0,2: 70:[34, 39, 66] Operation: 18+48=66
Moving to Node #0,0
Current State: 70:[34, 18, 9], Operations: ['48-39=9']
Exploring Operation: 18/9=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 70:[34, 2] Operation: 18/9=2
Exploring Operation: 18-9=9, Resulting Numbers: [34, 9]
Generated Node #0,0,1: 70:[34, 9] Operation: 18-9=9
Exploring Operation: 34-18=16, Resulting Numbers: [9, 16]
Generated Node #0,0,2: 70:[9, 16] Operation: 34-18=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[34, 2], Operations: ['48-39=9', '18/9=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,70 unequal: No Solution
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[34, 9], Operations: ['48-39=9', '18-9=9']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,70 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,70 unequal: No Solution
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[9, 16], Operations: ['48-39=9', '34-18=16']
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,70 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,70 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: 70:[39, 18, 14], Operations: ['48-34=14']
Exploring Operation: 18-14=4, Resulting Numbers: [39, 4]
Generated Node #0,1,0: 70:[39, 4] Operation: 18-14=4
Exploring Operation: 39-18=21, Resulting Numbers: [14, 21]
Generated Node #0,1,1: 70:[14, 21] Operation: 39-18=21
Exploring Operation: 18+14=32, Resulting Numbers: [39, 32]
Generated Node #0,1,2: 70:[39, 32] Operation: 18+14=32
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 70:[39, 4], Operations: ['48-34=14', '18-14=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,70 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 39*4=156, Resulting Numbers: [156]
156,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 70:[14, 21], Operations: ['48-34=14', '39-18=21']
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Exploring Operation: 14+21=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 14*21=294, Resulting Numbers: [294]
294,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 70:[39, 32], Operations: ['48-34=14', '18+14=32']
Exploring Operation: 39*32=1248, Resulting Numbers: [1248]
1248,70 unequal: No Solution
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 70:[34, 39, 66], Operations: ['18+48=66']
Exploring Operation: 66-34=32, Resulting Numbers: [39, 32]
Generated Node #0,2,0: 70:[39, 32] Operation: 66-34=32
Exploring Operation: 39-34=5, Resulting Numbers: [66, 5]
Generated Node #0,2,1: 70:[66, 5] Operation: 39-34=5
Exploring Operation: 34+39=73, Resulting Numbers: [66, 73]
Generated Node #0,2,2: 70:[66, 73] Operation: 34+39=73
Moving to Node #0,2,1
Current State: 70:[66, 5], Operations: ['18+48=66', '39-34=5']
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,70 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,70 unequal: No Solution
Exploring Operation: 66*5=330, Resulting Numbers: [330]
330,70 unequal: No Solution
Moving to Node #0,2,0
Current State: 70:[39, 32], Operations: ['18+48=66', '66-34=32']
Exploring Operation: 39*32=1248, Resulting Numbers: [1248]
1248,70 unequal: No Solution
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[66, 73], Operations: ['18+48=66', '34+39=73']
Exploring Operation: 66+73=139, Resulting Numbers: [139]
139,70 unequal: No Solution
Exploring Operation: 66*73=4818, Resulting Numbers: [4818]
4818,70 unequal: No Solution
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,70 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
50,
23,
58,
86
] | 71 | [
"50+23=73",
"58+86=144",
"144-73=71"
] | Current State: 71:[50, 23, 58, 86], Operations: []
Exploring Operation: 50+23=73, Resulting Numbers: [58, 86, 73]
Generated Node #2: [58, 86, 73] from Operation: 50+23=73
Current State: 71:[58, 86, 73], Operations: ['50+23=73']
Exploring Operation: 58+86=144, Resulting Numbers: [73, 144]
Generated Node #3: [73, 144] from Operation: 58+86=144
Current State: 71:[73, 144], Operations: ['50+23=73', '58+86=144']
Exploring Operation: 144-73=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[50, 23, 58, 86], Operations: []
Exploring Operation: 86-23=63, Resulting Numbers: [50, 58, 63]
Generated Node #0,0: 71:[50, 58, 63] Operation: 86-23=63
Exploring Operation: 50+23=73, Resulting Numbers: [58, 86, 73]
Generated Node #0,1: 71:[58, 86, 73] Operation: 50+23=73
Moving to Node #0,1
Current State: 71:[58, 86, 73], Operations: ['50+23=73']
Exploring Operation: 86-58=28, Resulting Numbers: [73, 28]
Generated Node #0,1,0: 71:[73, 28] Operation: 86-58=28
Exploring Operation: 73-58=15, Resulting Numbers: [86, 15]
Generated Node #0,1,1: 71:[86, 15] Operation: 73-58=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[73, 28], Operations: ['50+23=73', '86-58=28']
Exploring Operation: 73+28=101, Resulting Numbers: [101]
101,71 unequal: No Solution
Exploring Operation: 73-28=45, Resulting Numbers: [45]
45,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[86, 15], Operations: ['50+23=73', '73-58=15']
Exploring Operation: 86+15=101, Resulting Numbers: [101]
101,71 unequal: No Solution
Exploring Operation: 86-15=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[50, 23, 58, 86], Operations: []
Exploring Operation: 50+23=73, Resulting Numbers: [58, 86, 73]
Generated Node #0,1: 71:[58, 86, 73] Operation: 50+23=73
Moving to Node #0,1
Current State: 71:[58, 86, 73], Operations: ['50+23=73']
Exploring Operation: 73-58=15, Resulting Numbers: [86, 15]
Generated Node #0,1,1: 71:[86, 15] Operation: 73-58=15
Moving to Node #0,1,1
Current State: 71:[86, 15], Operations: ['50+23=73', '73-58=15']
Exploring Operation: 86-15=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
26,
24,
61,
24
] | 73 | [
"26-24=2",
"24/2=12",
"61+12=73"
] | Current State: 73:[26, 24, 61, 24], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [61, 2]
Generated Node #2: [61, 2] from Operation: 26-24=2
Current State: 73:[61, 2], Operations: ['26-24=2']
Exploring Operation: 24/2=12, Resulting Numbers: [61, 12]
Generated Node #3: [61, 12] from Operation: 24/2=12
Current State: 73:[61, 12], Operations: ['26-24=2', '24/2=12']
Exploring Operation: 61+12=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[26, 24, 61, 24], Operations: []
Exploring Operation: 26+24=50, Resulting Numbers: [61, 24, 50]
Generated Node #0,0: 73:[61, 24, 50] Operation: 26+24=50
Exploring Operation: 26+24=50, Resulting Numbers: [24, 61, 50]
Generated Node #0,1: 73:[24, 61, 50] Operation: 26+24=50
Moving to Node #0,0
Current State: 73:[61, 24, 50], Operations: ['26+24=50']
Exploring Operation: 24+50=74, Resulting Numbers: [61, 74]
Generated Node #0,0,0: 73:[61, 74] Operation: 24+50=74
Exploring Operation: 61+24=85, Resulting Numbers: [50, 85]
Generated Node #0,0,1: 73:[50, 85] Operation: 61+24=85
Moving to Node #0,1
Current State: 73:[24, 61, 50], Operations: ['26+24=50']
Exploring Operation: 24+61=85, Resulting Numbers: [50, 85]
Generated Node #0,1,0: 73:[50, 85] Operation: 24+61=85
Exploring Operation: 24+50=74, Resulting Numbers: [61, 74]
Generated Node #0,1,1: 73:[61, 74] Operation: 24+50=74
Moving to Node #0,0,0
Current State: 73:[61, 74], Operations: ['26+24=50', '24+50=74']
Exploring Operation: 61+74=135, Resulting Numbers: [135]
135,73 unequal: No Solution
Exploring Operation: 74-61=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[61, 74], Operations: ['26+24=50', '24+50=74']
Exploring Operation: 74-61=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 61+74=135, Resulting Numbers: [135]
135,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[50, 85], Operations: ['26+24=50', '61+24=85']
Exploring Operation: 85-50=35, Resulting Numbers: [35]
35,73 unequal: No Solution
Exploring Operation: 50+85=135, Resulting Numbers: [135]
135,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[50, 85], Operations: ['26+24=50', '24+61=85']
Exploring Operation: 50+85=135, Resulting Numbers: [135]
135,73 unequal: No Solution
Exploring Operation: 85-50=35, Resulting Numbers: [35]
35,73 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
39,
64,
2,
20
] | 43 | [
"64-39=25",
"20-2=18",
"25+18=43"
] | Current State: 43:[39, 64, 2, 20], Operations: []
Exploring Operation: 64-39=25, Resulting Numbers: [2, 20, 25]
Generated Node #2: [2, 20, 25] from Operation: 64-39=25
Current State: 43:[2, 20, 25], Operations: ['64-39=25']
Exploring Operation: 20-2=18, Resulting Numbers: [25, 18]
Generated Node #3: [25, 18] from Operation: 20-2=18
Current State: 43:[25, 18], Operations: ['64-39=25', '20-2=18']
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[39, 64, 2, 20], Operations: []
Exploring Operation: 2*20=40, Resulting Numbers: [39, 64, 40]
Generated Node #0,0: 43:[39, 64, 40] Operation: 2*20=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[39, 64, 40], Operations: ['2*20=40']
Exploring Operation: 64-39=25, Resulting Numbers: [40, 25]
Generated Node #0,0,0: 43:[40, 25] Operation: 64-39=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[40, 25], Operations: ['2*20=40', '64-39=25']
Exploring Operation: 40+25=65, Resulting Numbers: [65]
65,43 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 |
[
13,
92,
73,
84
] | 52 | [
"13+92=105",
"73+84=157",
"157-105=52"
] | Current State: 52:[13, 92, 73, 84], Operations: []
Exploring Operation: 13+92=105, Resulting Numbers: [73, 84, 105]
Generated Node #2: [73, 84, 105] from Operation: 13+92=105
Current State: 52:[73, 84, 105], Operations: ['13+92=105']
Exploring Operation: 73+84=157, Resulting Numbers: [105, 157]
Generated Node #3: [105, 157] from Operation: 73+84=157
Current State: 52:[105, 157], Operations: ['13+92=105', '73+84=157']
Exploring Operation: 157-105=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[13, 92, 73, 84], Operations: []
Exploring Operation: 84-73=11, Resulting Numbers: [13, 92, 11]
Generated Node #0,0: 52:[13, 92, 11] Operation: 84-73=11
Exploring Operation: 92-84=8, Resulting Numbers: [13, 73, 8]
Generated Node #0,1: 52:[13, 73, 8] Operation: 92-84=8
Exploring Operation: 92-73=19, Resulting Numbers: [13, 84, 19]
Generated Node #0,2: 52:[13, 84, 19] Operation: 92-73=19
Exploring Operation: 92-13=79, Resulting Numbers: [73, 84, 79]
Generated Node #0,3: 52:[73, 84, 79] Operation: 92-13=79
Moving to Node #0,1
Current State: 52:[13, 73, 8], Operations: ['92-84=8']
Exploring Operation: 73-8=65, Resulting Numbers: [13, 65]
Generated Node #0,1,0: 52:[13, 65] Operation: 73-8=65
Exploring Operation: 13+8=21, Resulting Numbers: [73, 21]
Generated Node #0,1,1: 52:[73, 21] Operation: 13+8=21
Exploring Operation: 73-13=60, Resulting Numbers: [8, 60]
Generated Node #0,1,2: 52:[8, 60] Operation: 73-13=60
Exploring Operation: 13-8=5, Resulting Numbers: [73, 5]
Generated Node #0,1,3: 52:[73, 5] Operation: 13-8=5
Moving to Node #0,2
Current State: 52:[13, 84, 19], Operations: ['92-73=19']
Exploring Operation: 19-13=6, Resulting Numbers: [84, 6]
Generated Node #0,2,0: 52:[84, 6] Operation: 19-13=6
Exploring Operation: 84-13=71, Resulting Numbers: [19, 71]
Generated Node #0,2,1: 52:[19, 71] Operation: 84-13=71
Exploring Operation: 84-19=65, Resulting Numbers: [13, 65]
Generated Node #0,2,2: 52:[13, 65] Operation: 84-19=65
Exploring Operation: 13+19=32, Resulting Numbers: [84, 32]
Generated Node #0,2,3: 52:[84, 32] Operation: 13+19=32
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 52:[13, 65], Operations: ['92-73=19', '84-19=65']
Exploring Operation: 65-13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[13, 92, 73, 84], Operations: []
Exploring Operation: 92-73=19, Resulting Numbers: [13, 84, 19]
Generated Node #0,2: 52:[13, 84, 19] Operation: 92-73=19
Moving to Node #0,2
Current State: 52:[13, 84, 19], Operations: ['92-73=19']
Exploring Operation: 84-19=65, Resulting Numbers: [13, 65]
Generated Node #0,2,2: 52:[13, 65] Operation: 84-19=65
Moving to Node #0,2,2
Current State: 52:[13, 65], Operations: ['92-73=19', '84-19=65']
Exploring Operation: 65-13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
73,
8,
64,
32
] | 13 | [
"73-64=9",
"32/8=4",
"9+4=13"
] | Current State: 13:[73, 8, 64, 32], Operations: []
Exploring Operation: 73-64=9, Resulting Numbers: [8, 32, 9]
Generated Node #2: [8, 32, 9] from Operation: 73-64=9
Current State: 13:[8, 32, 9], Operations: ['73-64=9']
Exploring Operation: 32/8=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 32/8=4
Current State: 13:[9, 4], Operations: ['73-64=9', '32/8=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[73, 8, 64, 32], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [73, 8, 2]
Generated Node #0,0: 13:[73, 8, 2] Operation: 64/32=2
Exploring Operation: 73-32=41, Resulting Numbers: [8, 64, 41]
Generated Node #0,1: 13:[8, 64, 41] Operation: 73-32=41
Exploring Operation: 73-64=9, Resulting Numbers: [8, 32, 9]
Generated Node #0,2: 13:[8, 32, 9] Operation: 73-64=9
Moving to Node #0,2
Current State: 13:[8, 32, 9], Operations: ['73-64=9']
Exploring Operation: 32/8=4, Resulting Numbers: [9, 4]
Generated Node #0,2,0: 13:[9, 4] Operation: 32/8=4
Exploring Operation: 32-9=23, Resulting Numbers: [8, 23]
Generated Node #0,2,1: 13:[8, 23] Operation: 32-9=23
Exploring Operation: 32-8=24, Resulting Numbers: [9, 24]
Generated Node #0,2,2: 13:[9, 24] Operation: 32-8=24
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 13:[9, 4], Operations: ['73-64=9', '32/8=4']
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[73, 8, 64, 32], Operations: []
Exploring Operation: 73-64=9, Resulting Numbers: [8, 32, 9]
Generated Node #0,2: 13:[8, 32, 9] Operation: 73-64=9
Moving to Node #0,2
Current State: 13:[8, 32, 9], Operations: ['73-64=9']
Exploring Operation: 32/8=4, Resulting Numbers: [9, 4]
Generated Node #0,2,0: 13:[9, 4] Operation: 32/8=4
Moving to Node #0,2,0
Current State: 13:[9, 4], Operations: ['73-64=9', '32/8=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
87,
16,
98,
94
] | 82 | [
"98-87=11",
"16*11=176",
"176-94=82"
] | Current State: 82:[87, 16, 98, 94], Operations: []
Exploring Operation: 98-87=11, Resulting Numbers: [16, 94, 11]
Generated Node #2: [16, 94, 11] from Operation: 98-87=11
Current State: 82:[16, 94, 11], Operations: ['98-87=11']
Exploring Operation: 16*11=176, Resulting Numbers: [94, 176]
Generated Node #3: [94, 176] from Operation: 16*11=176
Current State: 82:[94, 176], Operations: ['98-87=11', '16*11=176']
Exploring Operation: 176-94=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[87, 16, 98, 94], Operations: []
Exploring Operation: 98-16=82, Resulting Numbers: [87, 94, 82]
Generated Node #0,0: 82:[87, 94, 82] Operation: 98-16=82
Exploring Operation: 94-16=78, Resulting Numbers: [87, 98, 78]
Generated Node #0,1: 82:[87, 98, 78] Operation: 94-16=78
Exploring Operation: 98-94=4, Resulting Numbers: [87, 16, 4]
Generated Node #0,2: 82:[87, 16, 4] Operation: 98-94=4
Moving to Node #0,0
Current State: 82:[87, 94, 82], Operations: ['98-16=82']
Exploring Operation: 94-87=7, Resulting Numbers: [82, 7]
Generated Node #0,0,0: 82:[82, 7] Operation: 94-87=7
Exploring Operation: 94-82=12, Resulting Numbers: [87, 12]
Generated Node #0,0,1: 82:[87, 12] Operation: 94-82=12
Exploring Operation: 87-82=5, Resulting Numbers: [94, 5]
Generated Node #0,0,2: 82:[94, 5] Operation: 87-82=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[82, 7], Operations: ['98-16=82', '94-87=7']
Exploring Operation: 82*7=574, Resulting Numbers: [574]
574,82 unequal: No Solution
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,82 unequal: No Solution
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,82 unequal: No Solution
No 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: 82:[87, 12], Operations: ['98-16=82', '94-82=12']
Exploring Operation: 87*12=1044, Resulting Numbers: [1044]
1044,82 unequal: No Solution
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,82 unequal: No Solution
Exploring Operation: 87+12=99, Resulting Numbers: [99]
99,82 unequal: No Solution
No 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: 82:[94, 5], Operations: ['98-16=82', '87-82=5']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,82 unequal: No Solution
Exploring Operation: 94*5=470, Resulting Numbers: [470]
470,82 unequal: No Solution
Exploring Operation: 94+5=99, Resulting Numbers: [99]
99,82 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: 82:[87, 16, 4], Operations: ['98-94=4']
Exploring Operation: 16/4=4, Resulting Numbers: [87, 4]
Generated Node #0,2,0: 82:[87, 4] Operation: 16/4=4
Exploring Operation: 87-4=83, Resulting Numbers: [16, 83]
Generated Node #0,2,1: 82:[16, 83] Operation: 87-4=83
Exploring Operation: 87-16=71, Resulting Numbers: [4, 71]
Generated Node #0,2,2: 82:[4, 71] Operation: 87-16=71
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 82:[87, 4], Operations: ['98-94=4', '16/4=4']
Exploring Operation: 87*4=348, Resulting Numbers: [348]
348,82 unequal: No Solution
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,82 unequal: No Solution
No 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: 82:[4, 71], Operations: ['98-94=4', '87-16=71']
Exploring Operation: 4+71=75, Resulting Numbers: [75]
75,82 unequal: No Solution
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,82 unequal: No Solution
Exploring Operation: 4*71=284, Resulting Numbers: [284]
284,82 unequal: No Solution
No 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: 82:[16, 83], Operations: ['98-94=4', '87-4=83']
Exploring Operation: 16*83=1328, Resulting Numbers: [1328]
1328,82 unequal: No Solution
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,82 unequal: No Solution
Exploring Operation: 16+83=99, Resulting Numbers: [99]
99,82 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: 82:[87, 98, 78], Operations: ['94-16=78']
Exploring Operation: 98-78=20, Resulting Numbers: [87, 20]
Generated Node #0,1,0: 82:[87, 20] Operation: 98-78=20
Exploring Operation: 98-87=11, Resulting Numbers: [78, 11]
Generated Node #0,1,1: 82:[78, 11] Operation: 98-87=11
Exploring Operation: 87-78=9, Resulting Numbers: [98, 9]
Generated Node #0,1,2: 82:[98, 9] Operation: 87-78=9
Moving to Node #0,1,1
Current State: 82:[78, 11], Operations: ['94-16=78', '98-87=11']
Exploring Operation: 78*11=858, Resulting Numbers: [858]
858,82 unequal: No Solution
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,82 unequal: No Solution
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[87, 20], Operations: ['94-16=78', '98-78=20']
Exploring Operation: 87+20=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 87*20=1740, Resulting Numbers: [1740]
1740,82 unequal: No Solution
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[98, 9], Operations: ['94-16=78', '87-78=9']
Exploring Operation: 98*9=882, Resulting Numbers: [882]
882,82 unequal: No Solution
Exploring Operation: 98+9=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,82 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
95,
98,
25,
53
] | 81 | [
"98-95=3",
"25+53=78",
"3+78=81"
] | Current State: 81:[95, 98, 25, 53], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [25, 53, 3]
Generated Node #2: [25, 53, 3] from Operation: 98-95=3
Current State: 81:[25, 53, 3], Operations: ['98-95=3']
Exploring Operation: 25+53=78, Resulting Numbers: [3, 78]
Generated Node #3: [3, 78] from Operation: 25+53=78
Current State: 81:[3, 78], Operations: ['98-95=3', '25+53=78']
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[95, 98, 25, 53], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [98, 25, 42]
Generated Node #0,0: 81:[98, 25, 42] Operation: 95-53=42
Exploring Operation: 53-25=28, Resulting Numbers: [95, 98, 28]
Generated Node #0,1: 81:[95, 98, 28] Operation: 53-25=28
Exploring Operation: 98-95=3, Resulting Numbers: [25, 53, 3]
Generated Node #0,2: 81:[25, 53, 3] Operation: 98-95=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[25, 53, 3], Operations: ['98-95=3']
Exploring Operation: 25+53=78, Resulting Numbers: [3, 78]
Generated Node #0,2,0: 81:[3, 78] Operation: 25+53=78
Exploring Operation: 53-25=28, Resulting Numbers: [3, 28]
Generated Node #0,2,1: 81:[3, 28] Operation: 53-25=28
Exploring Operation: 53-3=50, Resulting Numbers: [25, 50]
Generated Node #0,2,2: 81:[25, 50] Operation: 53-3=50
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 81:[3, 28], Operations: ['98-95=3', '53-25=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,81 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,81 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 81:[3, 78], Operations: ['98-95=3', '25+53=78']
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[95, 98, 25, 53], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [25, 53, 3]
Generated Node #0,2: 81:[25, 53, 3] Operation: 98-95=3
Moving to Node #0,2
Current State: 81:[25, 53, 3], Operations: ['98-95=3']
Exploring Operation: 25+53=78, Resulting Numbers: [3, 78]
Generated Node #0,2,0: 81:[3, 78] Operation: 25+53=78
Moving to Node #0,2,0
Current State: 81:[3, 78], Operations: ['98-95=3', '25+53=78']
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
54,
18,
16,
45
] | 58 | [
"54/18=3",
"16+45=61",
"61-3=58"
] | Current State: 58:[54, 18, 16, 45], Operations: []
Exploring Operation: 54/18=3, Resulting Numbers: [16, 45, 3]
Generated Node #2: [16, 45, 3] from Operation: 54/18=3
Current State: 58:[16, 45, 3], Operations: ['54/18=3']
Exploring Operation: 16+45=61, Resulting Numbers: [3, 61]
Generated Node #3: [3, 61] from Operation: 16+45=61
Current State: 58:[3, 61], Operations: ['54/18=3', '16+45=61']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[54, 18, 16, 45], Operations: []
Exploring Operation: 45-18=27, Resulting Numbers: [54, 16, 27]
Generated Node #0,0: 58:[54, 16, 27] Operation: 45-18=27
Exploring Operation: 45-16=29, Resulting Numbers: [54, 18, 29]
Generated Node #0,1: 58:[54, 18, 29] Operation: 45-16=29
Exploring Operation: 16+45=61, Resulting Numbers: [54, 18, 61]
Generated Node #0,2: 58:[54, 18, 61] Operation: 16+45=61
Exploring Operation: 18+16=34, Resulting Numbers: [54, 45, 34]
Generated Node #0,3: 58:[54, 45, 34] Operation: 18+16=34
Exploring Operation: 18-16=2, Resulting Numbers: [54, 45, 2]
Generated Node #0,4: 58:[54, 45, 2] Operation: 18-16=2
Moving to Node #0,1
Current State: 58:[54, 18, 29], Operations: ['45-16=29']
Exploring Operation: 54/18=3, Resulting Numbers: [29, 3]
Generated Node #0,1,0: 58:[29, 3] Operation: 54/18=3
Exploring Operation: 54+18=72, Resulting Numbers: [29, 72]
Generated Node #0,1,1: 58:[29, 72] Operation: 54+18=72
Exploring Operation: 54-29=25, Resulting Numbers: [18, 25]
Generated Node #0,1,2: 58:[18, 25] Operation: 54-29=25
Exploring Operation: 54-18=36, Resulting Numbers: [29, 36]
Generated Node #0,1,3: 58:[29, 36] Operation: 54-18=36
Exploring Operation: 29-18=11, Resulting Numbers: [54, 11]
Generated Node #0,1,4: 58:[54, 11] Operation: 29-18=11
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 58:[29, 3], Operations: ['45-16=29', '54/18=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,58 unequal: No Solution
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,58 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 58:[29, 36], Operations: ['45-16=29', '54-18=36']
Exploring Operation: 29*36=1044, Resulting Numbers: [1044]
1044,58 unequal: No Solution
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,58 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 58:[54, 11], Operations: ['45-16=29', '29-18=11']
Exploring Operation: 54*11=594, Resulting Numbers: [594]
594,58 unequal: No Solution
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Exploring Operation: 54+11=65, Resulting Numbers: [65]
65,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[29, 72], Operations: ['45-16=29', '54+18=72']
Exploring Operation: 29+72=101, Resulting Numbers: [101]
101,58 unequal: No Solution
Exploring Operation: 29*72=2088, Resulting Numbers: [2088]
2088,58 unequal: No Solution
Exploring Operation: 72-29=43, Resulting Numbers: [43]
43,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 58:[18, 25], Operations: ['45-16=29', '54-29=25']
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 18*25=450, Resulting Numbers: [450]
450,58 unequal: No Solution
Exploring Operation: 18+25=43, Resulting Numbers: [43]
43,58 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: 58:[54, 45, 2], Operations: ['18-16=2']
Exploring Operation: 54+2=56, Resulting Numbers: [45, 56]
Generated Node #0,4,0: 58:[45, 56] Operation: 54+2=56
Exploring Operation: 45+2=47, Resulting Numbers: [54, 47]
Generated Node #0,4,1: 58:[54, 47] Operation: 45+2=47
Exploring Operation: 45-2=43, Resulting Numbers: [54, 43]
Generated Node #0,4,2: 58:[54, 43] Operation: 45-2=43
Exploring Operation: 54-45=9, Resulting Numbers: [2, 9]
Generated Node #0,4,3: 58:[2, 9] Operation: 54-45=9
Exploring Operation: 54/2=27, Resulting Numbers: [45, 27]
Generated Node #0,4,4: 58:[45, 27] Operation: 54/2=27
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 58:[2, 9], Operations: ['18-16=2', '54-45=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,58 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 #0,4,0
Current State: 58:[45, 56], Operations: ['18-16=2', '54+2=56']
Exploring Operation: 45+56=101, Resulting Numbers: [101]
101,58 unequal: No Solution
Exploring Operation: 45*56=2520, Resulting Numbers: [2520]
2520,58 unequal: No Solution
Exploring Operation: 56-45=11, Resulting Numbers: [11]
11,58 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 #0,4,1
Current State: 58:[54, 47], Operations: ['18-16=2', '45+2=47']
Exploring Operation: 54+47=101, Resulting Numbers: [101]
101,58 unequal: No Solution
Exploring Operation: 54-47=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 54*47=2538, Resulting Numbers: [2538]
2538,58 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 #0,4,4
Current State: 58:[45, 27], Operations: ['18-16=2', '54/2=27']
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 45*27=1215, Resulting Numbers: [1215]
1215,58 unequal: No Solution
Exploring Operation: 45+27=72, Resulting Numbers: [72]
72,58 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 #0,4,2
Current State: 58:[54, 43], Operations: ['18-16=2', '45-2=43']
Exploring Operation: 54*43=2322, Resulting Numbers: [2322]
2322,58 unequal: No Solution
Exploring Operation: 54+43=97, Resulting Numbers: [97]
97,58 unequal: No Solution
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,58 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: 58:[54, 18, 61], Operations: ['16+45=61']
Exploring Operation: 54/18=3, Resulting Numbers: [61, 3]
Generated Node #0,2,0: 58:[61, 3] Operation: 54/18=3
Exploring Operation: 61-54=7, Resulting Numbers: [18, 7]
Generated Node #0,2,1: 58:[18, 7] Operation: 61-54=7
Exploring Operation: 54+18=72, Resulting Numbers: [61, 72]
Generated Node #0,2,2: 58:[61, 72] Operation: 54+18=72
Exploring Operation: 61-18=43, Resulting Numbers: [54, 43]
Generated Node #0,2,3: 58:[54, 43] Operation: 61-18=43
Exploring Operation: 54-18=36, Resulting Numbers: [61, 36]
Generated Node #0,2,4: 58:[61, 36] Operation: 54-18=36
Moving to Node #0,0
Current State: 58:[54, 16, 27], Operations: ['45-18=27']
Exploring Operation: 27-16=11, Resulting Numbers: [54, 11]
Generated Node #0,0,0: 58:[54, 11] Operation: 27-16=11
Exploring Operation: 54/27=2, Resulting Numbers: [16, 2]
Generated Node #0,0,1: 58:[16, 2] Operation: 54/27=2
Exploring Operation: 54-27=27, Resulting Numbers: [16, 27]
Generated Node #0,0,2: 58:[16, 27] Operation: 54-27=27
Exploring Operation: 54+16=70, Resulting Numbers: [27, 70]
Generated Node #0,0,3: 58:[27, 70] Operation: 54+16=70
Exploring Operation: 54-16=38, Resulting Numbers: [27, 38]
Generated Node #0,0,4: 58:[27, 38] Operation: 54-16=38
Moving to Node #0,3
Current State: 58:[54, 45, 34], Operations: ['18+16=34']
Exploring Operation: 54+34=88, Resulting Numbers: [45, 88]
Generated Node #0,3,0: 58:[45, 88] Operation: 54+34=88
Exploring Operation: 54-34=20, Resulting Numbers: [45, 20]
Generated Node #0,3,1: 58:[45, 20] Operation: 54-34=20
Exploring Operation: 54-45=9, Resulting Numbers: [34, 9]
Generated Node #0,3,2: 58:[34, 9] Operation: 54-45=9
Exploring Operation: 45+34=79, Resulting Numbers: [54, 79]
Generated Node #0,3,3: 58:[54, 79] Operation: 45+34=79
Exploring Operation: 45-34=11, Resulting Numbers: [54, 11]
Generated Node #0,3,4: 58:[54, 11] Operation: 45-34=11
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 58:[34, 9], Operations: ['18+16=34', '54-45=9']
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,58 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 #0,3,4
Current State: 58:[54, 11], Operations: ['18+16=34', '45-34=11']
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Exploring Operation: 54*11=594, Resulting Numbers: [594]
594,58 unequal: No Solution
Exploring Operation: 54+11=65, Resulting Numbers: [65]
65,58 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 #0,3,1
Current State: 58:[45, 20], Operations: ['18+16=34', '54-34=20']
Exploring Operation: 45+20=65, Resulting Numbers: [65]
65,58 unequal: No Solution
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Exploring Operation: 45*20=900, Resulting Numbers: [900]
900,58 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 #0,3,3
Current State: 58:[54, 79], Operations: ['18+16=34', '45+34=79']
Exploring Operation: 54+79=133, Resulting Numbers: [133]
133,58 unequal: No Solution
Exploring Operation: 54*79=4266, Resulting Numbers: [4266]
4266,58 unequal: No Solution
Exploring Operation: 79-54=25, Resulting Numbers: [25]
25,58 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 #0,3,0
Current State: 58:[45, 88], Operations: ['18+16=34', '54+34=88']
Exploring Operation: 88-45=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Exploring Operation: 45+88=133, Resulting Numbers: [133]
133,58 unequal: No Solution
Exploring Operation: 45*88=3960, Resulting Numbers: [3960]
3960,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 58:[61, 3], Operations: ['16+45=61', '54/18=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[54, 18, 16, 45], Operations: []
Exploring Operation: 16+45=61, Resulting Numbers: [54, 18, 61]
Generated Node #0,2: 58:[54, 18, 61] Operation: 16+45=61
Moving to Node #0,2
Current State: 58:[54, 18, 61], Operations: ['16+45=61']
Exploring Operation: 54/18=3, Resulting Numbers: [61, 3]
Generated Node #0,2,0: 58:[61, 3] Operation: 54/18=3
Moving to Node #0,2,0
Current State: 58:[61, 3], Operations: ['16+45=61', '54/18=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 0.930556 | hs_5 | sum_heuristic |
[
17,
64,
57,
85
] | 34 | [
"64-57=7",
"17*7=119",
"119-85=34"
] | Current State: 34:[17, 64, 57, 85], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [17, 85, 7]
Generated Node #2: [17, 85, 7] from Operation: 64-57=7
Current State: 34:[17, 85, 7], Operations: ['64-57=7']
Exploring Operation: 17*7=119, Resulting Numbers: [85, 119]
Generated Node #3: [85, 119] from Operation: 17*7=119
Current State: 34:[85, 119], Operations: ['64-57=7', '17*7=119']
Exploring Operation: 119-85=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[17, 64, 57, 85], Operations: []
Exploring Operation: 85/17=5, Resulting Numbers: [64, 57, 5]
Generated Node #0,0: 34:[64, 57, 5] Operation: 85/17=5
Exploring Operation: 85-57=28, Resulting Numbers: [17, 64, 28]
Generated Node #0,1: 34:[17, 64, 28] Operation: 85-57=28
Exploring Operation: 64-17=47, Resulting Numbers: [57, 85, 47]
Generated Node #0,2: 34:[57, 85, 47] Operation: 64-17=47
Exploring Operation: 85-64=21, Resulting Numbers: [17, 57, 21]
Generated Node #0,3: 34:[17, 57, 21] Operation: 85-64=21
Exploring Operation: 64-57=7, Resulting Numbers: [17, 85, 7]
Generated Node #0,4: 34:[17, 85, 7] Operation: 64-57=7
Moving to Node #0,3
Current State: 34:[17, 57, 21], Operations: ['85-64=21']
Exploring Operation: 57-17=40, Resulting Numbers: [21, 40]
Generated Node #0,3,0: 34:[21, 40] Operation: 57-17=40
Exploring Operation: 17+57=74, Resulting Numbers: [21, 74]
Generated Node #0,3,1: 34:[21, 74] Operation: 17+57=74
Exploring Operation: 21-17=4, Resulting Numbers: [57, 4]
Generated Node #0,3,2: 34:[57, 4] Operation: 21-17=4
Exploring Operation: 57-21=36, Resulting Numbers: [17, 36]
Generated Node #0,3,3: 34:[17, 36] Operation: 57-21=36
Exploring Operation: 17+21=38, Resulting Numbers: [57, 38]
Generated Node #0,3,4: 34:[57, 38] Operation: 17+21=38
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 34:[17, 36], Operations: ['85-64=21', '57-21=36']
Exploring Operation: 17+36=53, Resulting Numbers: [53]
53,34 unequal: No Solution
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 17*36=612, Resulting Numbers: [612]
612,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 34:[21, 40], Operations: ['85-64=21', '57-17=40']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 21*40=840, Resulting Numbers: [840]
840,34 unequal: No Solution
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 34:[57, 4], Operations: ['85-64=21', '21-17=4']
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,34 unequal: No Solution
Exploring Operation: 57*4=228, Resulting Numbers: [228]
228,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 34:[57, 38], Operations: ['85-64=21', '17+21=38']
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,34 unequal: No Solution
Exploring Operation: 57*38=2166, Resulting Numbers: [2166]
2166,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 34:[21, 74], Operations: ['85-64=21', '17+57=74']
Exploring Operation: 21+74=95, Resulting Numbers: [95]
95,34 unequal: No Solution
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,34 unequal: No Solution
Exploring Operation: 21*74=1554, Resulting Numbers: [1554]
1554,34 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: 34:[17, 64, 28], Operations: ['85-57=28']
Exploring Operation: 28-17=11, Resulting Numbers: [64, 11]
Generated Node #0,1,0: 34:[64, 11] Operation: 28-17=11
Exploring Operation: 17+28=45, Resulting Numbers: [64, 45]
Generated Node #0,1,1: 34:[64, 45] Operation: 17+28=45
Exploring Operation: 64-28=36, Resulting Numbers: [17, 36]
Generated Node #0,1,2: 34:[17, 36] Operation: 64-28=36
Exploring Operation: 17+64=81, Resulting Numbers: [28, 81]
Generated Node #0,1,3: 34:[28, 81] Operation: 17+64=81
Exploring Operation: 64-17=47, Resulting Numbers: [28, 47]
Generated Node #0,1,4: 34:[28, 47] Operation: 64-17=47
Moving to Node #0,0
Current State: 34:[64, 57, 5], Operations: ['85/17=5']
Exploring Operation: 64-5=59, Resulting Numbers: [57, 59]
Generated Node #0,0,0: 34:[57, 59] Operation: 64-5=59
Exploring Operation: 57-5=52, Resulting Numbers: [64, 52]
Generated Node #0,0,1: 34:[64, 52] Operation: 57-5=52
Exploring Operation: 64+5=69, Resulting Numbers: [57, 69]
Generated Node #0,0,2: 34:[57, 69] Operation: 64+5=69
Exploring Operation: 64-57=7, Resulting Numbers: [5, 7]
Generated Node #0,0,3: 34:[5, 7] Operation: 64-57=7
Exploring Operation: 57+5=62, Resulting Numbers: [64, 62]
Generated Node #0,0,4: 34:[64, 62] Operation: 57+5=62
Moving to Node #0,4
Current State: 34:[17, 85, 7], Operations: ['64-57=7']
Exploring Operation: 17-7=10, Resulting Numbers: [85, 10]
Generated Node #0,4,0: 34:[85, 10] Operation: 17-7=10
Exploring Operation: 85-17=68, Resulting Numbers: [7, 68]
Generated Node #0,4,1: 34:[7, 68] Operation: 85-17=68
Exploring Operation: 17+7=24, Resulting Numbers: [85, 24]
Generated Node #0,4,2: 34:[85, 24] Operation: 17+7=24
Exploring Operation: 85-7=78, Resulting Numbers: [17, 78]
Generated Node #0,4,3: 34:[17, 78] Operation: 85-7=78
Exploring Operation: 85/17=5, Resulting Numbers: [7, 5]
Generated Node #0,4,4: 34:[7, 5] Operation: 85/17=5
Moving to Node #0,2
Current State: 34:[57, 85, 47], Operations: ['64-17=47']
Exploring Operation: 85-57=28, Resulting Numbers: [47, 28]
Generated Node #0,2,0: 34:[47, 28] Operation: 85-57=28
Exploring Operation: 85-47=38, Resulting Numbers: [57, 38]
Generated Node #0,2,1: 34:[57, 38] Operation: 85-47=38
Exploring Operation: 57+47=104, Resulting Numbers: [85, 104]
Generated Node #0,2,2: 34:[85, 104] Operation: 57+47=104
Exploring Operation: 57-47=10, Resulting Numbers: [85, 10]
Generated Node #0,2,3: 34:[85, 10] Operation: 57-47=10
Exploring Operation: 57+85=142, Resulting Numbers: [47, 142]
Generated Node #0,2,4: 34:[47, 142] Operation: 57+85=142
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 34:[47, 28], Operations: ['64-17=47', '85-57=28']
Exploring Operation: 47*28=1316, Resulting Numbers: [1316]
1316,34 unequal: No Solution
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 47+28=75, Resulting Numbers: [75]
75,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 34:[57, 38], Operations: ['64-17=47', '85-47=38']
Exploring Operation: 57*38=2166, Resulting Numbers: [2166]
2166,34 unequal: No Solution
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,34 unequal: No Solution
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 34:[85, 10], Operations: ['64-17=47', '57-47=10']
Exploring Operation: 85*10=850, Resulting Numbers: [850]
850,34 unequal: No Solution
Exploring Operation: 85+10=95, Resulting Numbers: [95]
95,34 unequal: No Solution
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 34:[85, 104], Operations: ['64-17=47', '57+47=104']
Exploring Operation: 104-85=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 85*104=8840, Resulting Numbers: [8840]
8840,34 unequal: No Solution
Exploring Operation: 85+104=189, Resulting Numbers: [189]
189,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 34:[47, 142], Operations: ['64-17=47', '57+85=142']
Exploring Operation: 142-47=95, Resulting Numbers: [95]
95,34 unequal: No Solution
Exploring Operation: 47+142=189, Resulting Numbers: [189]
189,34 unequal: No Solution
Exploring Operation: 47*142=6674, Resulting Numbers: [6674]
6674,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 34:[17, 36], Operations: ['85-57=28', '64-28=36']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 17*36=612, Resulting Numbers: [612]
612,34 unequal: No Solution
Exploring Operation: 17+36=53, Resulting Numbers: [53]
53,34 unequal: No Solution
Moving to Node #0,0,3
Current State: 34:[5, 7], Operations: ['85/17=5', '64-57=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Moving to Node #0,4,4
Current State: 34:[7, 5], Operations: ['64-57=7', '85/17=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Moving to Node #0,1,4
Current State: 34:[28, 47], Operations: ['85-57=28', '64-17=47']
Exploring Operation: 28*47=1316, Resulting Numbers: [1316]
1316,34 unequal: No Solution
Exploring Operation: 28+47=75, Resulting Numbers: [75]
75,34 unequal: No Solution
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[64, 11], Operations: ['85-57=28', '28-17=11']
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,34 unequal: No Solution
Exploring Operation: 64*11=704, Resulting Numbers: [704]
704,34 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,34 unequal: No Solution
Moving to Node #0,4,1
Current State: 34:[7, 68], Operations: ['64-57=7', '85-17=68']
Exploring Operation: 7+68=75, Resulting Numbers: [75]
75,34 unequal: No Solution
Exploring Operation: 7*68=476, Resulting Numbers: [476]
476,34 unequal: No Solution
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Moving to Node #0,1,1
Current State: 34:[64, 45], Operations: ['85-57=28', '17+28=45']
Exploring Operation: 64*45=2880, Resulting Numbers: [2880]
2880,34 unequal: No Solution
Exploring Operation: 64+45=109, Resulting Numbers: [109]
109,34 unequal: No Solution
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Moving to Node #0,4,3
Current State: 34:[17, 78], Operations: ['64-57=7', '85-7=78']
Exploring Operation: 17+78=95, Resulting Numbers: [95]
95,34 unequal: No Solution
Exploring Operation: 17*78=1326, Resulting Numbers: [1326]
1326,34 unequal: No Solution
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[57, 59], Operations: ['85/17=5', '64-5=59']
Exploring Operation: 59-57=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 57+59=116, Resulting Numbers: [116]
116,34 unequal: No Solution
Exploring Operation: 57*59=3363, Resulting Numbers: [3363]
3363,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[64, 52], Operations: ['85/17=5', '57-5=52']
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 64+52=116, Resulting Numbers: [116]
116,34 unequal: No Solution
Exploring Operation: 64*52=3328, Resulting Numbers: [3328]
3328,34 unequal: No Solution
Moving to Node #0,1,3
Current State: 34:[28, 81], Operations: ['85-57=28', '17+64=81']
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,34 unequal: No Solution
Exploring Operation: 28*81=2268, Resulting Numbers: [2268]
2268,34 unequal: No Solution
Exploring Operation: 28+81=109, Resulting Numbers: [109]
109,34 unequal: No Solution
Moving to Node #0,4,0
Current State: 34:[85, 10], Operations: ['64-57=7', '17-7=10']
Exploring Operation: 85*10=850, Resulting Numbers: [850]
850,34 unequal: No Solution
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,34 unequal: No Solution
Exploring Operation: 85+10=95, Resulting Numbers: [95]
95,34 unequal: No Solution
Moving to Node #0,4,2
Current State: 34:[85, 24], Operations: ['64-57=7', '17+7=24']
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 85*24=2040, Resulting Numbers: [2040]
2040,34 unequal: No Solution
Exploring Operation: 85+24=109, Resulting Numbers: [109]
109,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[57, 69], Operations: ['85/17=5', '64+5=69']
Exploring Operation: 69-57=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 57+69=126, Resulting Numbers: [126]
126,34 unequal: No Solution
Exploring Operation: 57*69=3933, Resulting Numbers: [3933]
3933,34 unequal: No Solution
Moving to Node #0,0,4
Current State: 34:[64, 62], Operations: ['85/17=5', '57+5=62']
Exploring Operation: 64*62=3968, Resulting Numbers: [3968]
3968,34 unequal: No Solution
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 64+62=126, Resulting Numbers: [126]
126,34 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
83,
52,
62,
80
] | 82 | [
"83-52=31",
"62/31=2",
"80+2=82"
] | Current State: 82:[83, 52, 62, 80], Operations: []
Exploring Operation: 83-52=31, Resulting Numbers: [62, 80, 31]
Generated Node #2: [62, 80, 31] from Operation: 83-52=31
Current State: 82:[62, 80, 31], Operations: ['83-52=31']
Exploring Operation: 62/31=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 62/31=2
Current State: 82:[80, 2], Operations: ['83-52=31', '62/31=2']
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[83, 52, 62, 80], Operations: []
Exploring Operation: 83-52=31, Resulting Numbers: [62, 80, 31]
Generated Node #0,0: 82:[62, 80, 31] Operation: 83-52=31
Exploring Operation: 62-52=10, Resulting Numbers: [83, 80, 10]
Generated Node #0,1: 82:[83, 80, 10] Operation: 62-52=10
Exploring Operation: 80-62=18, Resulting Numbers: [83, 52, 18]
Generated Node #0,2: 82:[83, 52, 18] Operation: 80-62=18
Exploring Operation: 83-62=21, Resulting Numbers: [52, 80, 21]
Generated Node #0,3: 82:[52, 80, 21] Operation: 83-62=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[83, 80, 10], Operations: ['62-52=10']
Exploring Operation: 83-80=3, Resulting Numbers: [10, 3]
Generated Node #0,1,0: 82:[10, 3] Operation: 83-80=3
Exploring Operation: 80+10=90, Resulting Numbers: [83, 90]
Generated Node #0,1,1: 82:[83, 90] Operation: 80+10=90
Exploring Operation: 83-10=73, Resulting Numbers: [80, 73]
Generated Node #0,1,2: 82:[80, 73] Operation: 83-10=73
Exploring Operation: 80/10=8, Resulting Numbers: [83, 8]
Generated Node #0,1,3: 82:[83, 8] Operation: 80/10=8
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 82:[83, 8], Operations: ['62-52=10', '80/10=8']
Exploring Operation: 83*8=664, Resulting Numbers: [664]
664,82 unequal: No Solution
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,82 unequal: No Solution
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,82 unequal: No Solution
No 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: 82:[10, 3], Operations: ['62-52=10', '83-80=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,82 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,82 unequal: No Solution
No 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: 82:[83, 90], Operations: ['62-52=10', '80+10=90']
Exploring Operation: 83+90=173, Resulting Numbers: [173]
173,82 unequal: No Solution
Exploring Operation: 90-83=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 83*90=7470, Resulting Numbers: [7470]
7470,82 unequal: No Solution
No 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: 82:[80, 73], Operations: ['62-52=10', '83-10=73']
Exploring Operation: 80-73=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 80+73=153, Resulting Numbers: [153]
153,82 unequal: No Solution
Exploring Operation: 80*73=5840, Resulting Numbers: [5840]
5840,82 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: 82:[83, 52, 18], Operations: ['80-62=18']
Exploring Operation: 52-18=34, Resulting Numbers: [83, 34]
Generated Node #0,2,0: 82:[83, 34] Operation: 52-18=34
Exploring Operation: 52+18=70, Resulting Numbers: [83, 70]
Generated Node #0,2,1: 82:[83, 70] Operation: 52+18=70
Exploring Operation: 83-52=31, Resulting Numbers: [18, 31]
Generated Node #0,2,2: 82:[18, 31] Operation: 83-52=31
Exploring Operation: 83-18=65, Resulting Numbers: [52, 65]
Generated Node #0,2,3: 82:[52, 65] Operation: 83-18=65
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 82:[83, 34], Operations: ['80-62=18', '52-18=34']
Exploring Operation: 83-34=49, Resulting Numbers: [49]
49,82 unequal: No Solution
Exploring Operation: 83+34=117, Resulting Numbers: [117]
117,82 unequal: No Solution
Exploring Operation: 83*34=2822, Resulting Numbers: [2822]
2822,82 unequal: No Solution
No 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: 82:[83, 70], Operations: ['80-62=18', '52+18=70']
Exploring Operation: 83-70=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 83*70=5810, Resulting Numbers: [5810]
5810,82 unequal: No Solution
Exploring Operation: 83+70=153, Resulting Numbers: [153]
153,82 unequal: No Solution
No 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: 82:[18, 31], Operations: ['80-62=18', '83-52=31']
Exploring Operation: 18*31=558, Resulting Numbers: [558]
558,82 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 18+31=49, Resulting Numbers: [49]
49,82 unequal: No Solution
No 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: 82:[52, 65], Operations: ['80-62=18', '83-18=65']
Exploring Operation: 65-52=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 52*65=3380, Resulting Numbers: [3380]
3380,82 unequal: No Solution
Exploring Operation: 52+65=117, Resulting Numbers: [117]
117,82 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: 82:[62, 80, 31], Operations: ['83-52=31']
Exploring Operation: 80-62=18, Resulting Numbers: [31, 18]
Generated Node #0,0,0: 82:[31, 18] Operation: 80-62=18
Exploring Operation: 62+31=93, Resulting Numbers: [80, 93]
Generated Node #0,0,1: 82:[80, 93] Operation: 62+31=93
Exploring Operation: 62/31=2, Resulting Numbers: [80, 2]
Generated Node #0,0,2: 82:[80, 2] Operation: 62/31=2
Exploring Operation: 62-31=31, Resulting Numbers: [80, 31]
Generated Node #0,0,3: 82:[80, 31] Operation: 62-31=31
Moving to Node #0,0,2
Current State: 82:[80, 2], Operations: ['83-52=31', '62/31=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,82 unequal: No Solution
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[83, 52, 62, 80], Operations: []
Exploring Operation: 83-52=31, Resulting Numbers: [62, 80, 31]
Generated Node #0,0: 82:[62, 80, 31] Operation: 83-52=31
Moving to Node #0,0
Current State: 82:[62, 80, 31], Operations: ['83-52=31']
Exploring Operation: 62/31=2, Resulting Numbers: [80, 2]
Generated Node #0,0,2: 82:[80, 2] Operation: 62/31=2
Moving to Node #0,0,2
Current State: 82:[80, 2], Operations: ['83-52=31', '62/31=2']
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_4 | sum_heuristic |
[
12,
75,
72,
74
] | 89 | [
"12+75=87",
"74-72=2",
"87+2=89"
] | Current State: 89:[12, 75, 72, 74], Operations: []
Exploring Operation: 12+75=87, Resulting Numbers: [72, 74, 87]
Generated Node #2: [72, 74, 87] from Operation: 12+75=87
Current State: 89:[72, 74, 87], Operations: ['12+75=87']
Exploring Operation: 74-72=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 74-72=2
Current State: 89:[87, 2], Operations: ['12+75=87', '74-72=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[12, 75, 72, 74], Operations: []
Exploring Operation: 12+75=87, Resulting Numbers: [72, 74, 87]
Generated Node #0,0: 89:[72, 74, 87] Operation: 12+75=87
Exploring Operation: 12+74=86, Resulting Numbers: [75, 72, 86]
Generated Node #0,1: 89:[75, 72, 86] Operation: 12+74=86
Exploring Operation: 12+72=84, Resulting Numbers: [75, 74, 84]
Generated Node #0,2: 89:[75, 74, 84] Operation: 12+72=84
Exploring Operation: 72-12=60, Resulting Numbers: [75, 74, 60]
Generated Node #0,3: 89:[75, 74, 60] Operation: 72-12=60
Exploring Operation: 75-12=63, Resulting Numbers: [72, 74, 63]
Generated Node #0,4: 89:[72, 74, 63] Operation: 75-12=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[72, 74, 87], Operations: ['12+75=87']
Exploring Operation: 74-72=2, Resulting Numbers: [87, 2]
Generated Node #0,0,0: 89:[87, 2] Operation: 74-72=2
Exploring Operation: 74+87=161, Resulting Numbers: [72, 161]
Generated Node #0,0,1: 89:[72, 161] Operation: 74+87=161
Exploring Operation: 72+74=146, Resulting Numbers: [87, 146]
Generated Node #0,0,2: 89:[87, 146] Operation: 72+74=146
Exploring Operation: 72+87=159, Resulting Numbers: [74, 159]
Generated Node #0,0,3: 89:[74, 159] Operation: 72+87=159
Exploring Operation: 87-72=15, Resulting Numbers: [74, 15]
Generated Node #0,0,4: 89:[74, 15] Operation: 87-72=15
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 89:[87, 146], Operations: ['12+75=87', '72+74=146']
Exploring Operation: 87+146=233, Resulting Numbers: [233]
233,89 unequal: No Solution
Exploring Operation: 87*146=12702, Resulting Numbers: [12702]
12702,89 unequal: No Solution
Exploring Operation: 146-87=59, Resulting Numbers: [59]
59,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 89:[74, 159], Operations: ['12+75=87', '72+87=159']
Exploring Operation: 74*159=11766, Resulting Numbers: [11766]
11766,89 unequal: No Solution
Exploring Operation: 74+159=233, Resulting Numbers: [233]
233,89 unequal: No Solution
Exploring Operation: 159-74=85, Resulting Numbers: [85]
85,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[87, 2], Operations: ['12+75=87', '74-72=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,89 unequal: No Solution
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[12, 75, 72, 74], Operations: []
Exploring Operation: 12+75=87, Resulting Numbers: [72, 74, 87]
Generated Node #0,0: 89:[72, 74, 87] Operation: 12+75=87
Moving to Node #0,0
Current State: 89:[72, 74, 87], Operations: ['12+75=87']
Exploring Operation: 74-72=2, Resulting Numbers: [87, 2]
Generated Node #0,0,0: 89:[87, 2] Operation: 74-72=2
Moving to Node #0,0,0
Current State: 89:[87, 2], Operations: ['12+75=87', '74-72=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
34,
20,
88,
26
] | 85 | [
"34+26=60",
"60/20=3",
"88-3=85"
] | Current State: 85:[34, 20, 88, 26], Operations: []
Exploring Operation: 34+26=60, Resulting Numbers: [20, 88, 60]
Generated Node #2: [20, 88, 60] from Operation: 34+26=60
Current State: 85:[20, 88, 60], Operations: ['34+26=60']
Exploring Operation: 60/20=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 60/20=3
Current State: 85:[88, 3], Operations: ['34+26=60', '60/20=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[34, 20, 88, 26], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [34, 88, 6]
Generated Node #0,0: 85:[34, 88, 6] Operation: 26-20=6
Exploring Operation: 34-26=8, Resulting Numbers: [20, 88, 8]
Generated Node #0,1: 85:[20, 88, 8] Operation: 34-26=8
Exploring Operation: 34-20=14, Resulting Numbers: [88, 26, 14]
Generated Node #0,2: 85:[88, 26, 14] Operation: 34-20=14
Exploring Operation: 34+20=54, Resulting Numbers: [88, 26, 54]
Generated Node #0,3: 85:[88, 26, 54] Operation: 34+20=54
Exploring Operation: 34+26=60, Resulting Numbers: [20, 88, 60]
Generated Node #0,4: 85:[20, 88, 60] Operation: 34+26=60
Moving to Node #0,1
Current State: 85:[20, 88, 8], Operations: ['34-26=8']
Exploring Operation: 20+8=28, Resulting Numbers: [88, 28]
Generated Node #0,1,0: 85:[88, 28] Operation: 20+8=28
Exploring Operation: 20-8=12, Resulting Numbers: [88, 12]
Generated Node #0,1,1: 85:[88, 12] Operation: 20-8=12
Exploring Operation: 88+8=96, Resulting Numbers: [20, 96]
Generated Node #0,1,2: 85:[20, 96] Operation: 88+8=96
Exploring Operation: 88/8=11, Resulting Numbers: [20, 11]
Generated Node #0,1,3: 85:[20, 11] Operation: 88/8=11
Exploring Operation: 88-8=80, Resulting Numbers: [20, 80]
Generated Node #0,1,4: 85:[20, 80] Operation: 88-8=80
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[88, 12], Operations: ['34-26=8', '20-8=12']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,85 unequal: No Solution
Exploring Operation: 88+12=100, Resulting Numbers: [100]
100,85 unequal: No Solution
Exploring Operation: 88*12=1056, Resulting Numbers: [1056]
1056,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 85:[20, 80], Operations: ['34-26=8', '88-8=80']
Exploring Operation: 80-20=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 80/20=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 20*80=1600, Resulting Numbers: [1600]
1600,85 unequal: No Solution
Exploring Operation: 20+80=100, Resulting Numbers: [100]
100,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 85:[20, 11], Operations: ['34-26=8', '88/8=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,85 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,85 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 85:[88, 28], Operations: ['34-26=8', '20+8=28']
Exploring Operation: 88-28=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 88+28=116, Resulting Numbers: [116]
116,85 unequal: No Solution
Exploring Operation: 88*28=2464, Resulting Numbers: [2464]
2464,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 85:[20, 96], Operations: ['34-26=8', '88+8=96']
Exploring Operation: 20+96=116, Resulting Numbers: [116]
116,85 unequal: No Solution
Exploring Operation: 96-20=76, Resulting Numbers: [76]
76,85 unequal: No Solution
Exploring Operation: 20*96=1920, Resulting Numbers: [1920]
1920,85 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: 85:[88, 26, 14], Operations: ['34-20=14']
Exploring Operation: 88+14=102, Resulting Numbers: [26, 102]
Generated Node #0,2,0: 85:[26, 102] Operation: 88+14=102
Exploring Operation: 88-26=62, Resulting Numbers: [14, 62]
Generated Node #0,2,1: 85:[14, 62] Operation: 88-26=62
Exploring Operation: 26+14=40, Resulting Numbers: [88, 40]
Generated Node #0,2,2: 85:[88, 40] Operation: 26+14=40
Exploring Operation: 88-14=74, Resulting Numbers: [26, 74]
Generated Node #0,2,3: 85:[26, 74] Operation: 88-14=74
Exploring Operation: 26-14=12, Resulting Numbers: [88, 12]
Generated Node #0,2,4: 85:[88, 12] Operation: 26-14=12
Moving to Node #0,0
Current State: 85:[34, 88, 6], Operations: ['26-20=6']
Exploring Operation: 88-6=82, Resulting Numbers: [34, 82]
Generated Node #0,0,0: 85:[34, 82] Operation: 88-6=82
Exploring Operation: 88+6=94, Resulting Numbers: [34, 94]
Generated Node #0,0,1: 85:[34, 94] Operation: 88+6=94
Exploring Operation: 88-34=54, Resulting Numbers: [6, 54]
Generated Node #0,0,2: 85:[6, 54] Operation: 88-34=54
Exploring Operation: 34-6=28, Resulting Numbers: [88, 28]
Generated Node #0,0,3: 85:[88, 28] Operation: 34-6=28
Exploring Operation: 34+6=40, Resulting Numbers: [88, 40]
Generated Node #0,0,4: 85:[88, 40] Operation: 34+6=40
Moving to Node #0,4
Current State: 85:[20, 88, 60], Operations: ['34+26=60']
Exploring Operation: 20+60=80, Resulting Numbers: [88, 80]
Generated Node #0,4,0: 85:[88, 80] Operation: 20+60=80
Exploring Operation: 60/20=3, Resulting Numbers: [88, 3]
Generated Node #0,4,1: 85:[88, 3] Operation: 60/20=3
Exploring Operation: 88-60=28, Resulting Numbers: [20, 28]
Generated Node #0,4,2: 85:[20, 28] Operation: 88-60=28
Exploring Operation: 60-20=40, Resulting Numbers: [88, 40]
Generated Node #0,4,3: 85:[88, 40] Operation: 60-20=40
Exploring Operation: 88-20=68, Resulting Numbers: [60, 68]
Generated Node #0,4,4: 85:[60, 68] Operation: 88-20=68
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 85:[88, 3], Operations: ['34+26=60', '60/20=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[34, 20, 88, 26], Operations: []
Exploring Operation: 34+26=60, Resulting Numbers: [20, 88, 60]
Generated Node #0,4: 85:[20, 88, 60] Operation: 34+26=60
Moving to Node #0,4
Current State: 85:[20, 88, 60], Operations: ['34+26=60']
Exploring Operation: 60/20=3, Resulting Numbers: [88, 3]
Generated Node #0,4,1: 85:[88, 3] Operation: 60/20=3
Moving to Node #0,4,1
Current State: 85:[88, 3], Operations: ['34+26=60', '60/20=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_5 | sum_heuristic |
[
27,
84,
12,
66
] | 33 | [
"27+84=111",
"12+66=78",
"111-78=33"
] | Current State: 33:[27, 84, 12, 66], Operations: []
Exploring Operation: 27+84=111, Resulting Numbers: [12, 66, 111]
Generated Node #2: [12, 66, 111] from Operation: 27+84=111
Current State: 33:[12, 66, 111], Operations: ['27+84=111']
Exploring Operation: 12+66=78, Resulting Numbers: [111, 78]
Generated Node #3: [111, 78] from Operation: 12+66=78
Current State: 33:[111, 78], Operations: ['27+84=111', '12+66=78']
Exploring Operation: 111-78=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[27, 84, 12, 66], Operations: []
Exploring Operation: 84-66=18, Resulting Numbers: [27, 12, 18]
Generated Node #0,0: 33:[27, 12, 18] Operation: 84-66=18
Exploring Operation: 84-27=57, Resulting Numbers: [12, 66, 57]
Generated Node #0,1: 33:[12, 66, 57] Operation: 84-27=57
Exploring Operation: 84/12=7, Resulting Numbers: [27, 66, 7]
Generated Node #0,2: 33:[27, 66, 7] Operation: 84/12=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[27, 12, 18], Operations: ['84-66=18']
Exploring Operation: 12+18=30, Resulting Numbers: [27, 30]
Generated Node #0,0,0: 33:[27, 30] Operation: 12+18=30
Exploring Operation: 27-18=9, Resulting Numbers: [12, 9]
Generated Node #0,0,1: 33:[12, 9] Operation: 27-18=9
Exploring Operation: 18-12=6, Resulting Numbers: [27, 6]
Generated Node #0,0,2: 33:[27, 6] Operation: 18-12=6
Moving to Node #0,0,1
Current State: 33:[12, 9], Operations: ['84-66=18', '27-18=9']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[27, 30], Operations: ['84-66=18', '12+18=30']
Exploring Operation: 27+30=57, Resulting Numbers: [57]
57,33 unequal: No Solution
Exploring Operation: 27*30=810, Resulting Numbers: [810]
810,33 unequal: No Solution
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[27, 6], Operations: ['84-66=18', '18-12=6']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[27, 84, 12, 66], Operations: []
Exploring Operation: 84-66=18, Resulting Numbers: [27, 12, 18]
Generated Node #0,0: 33:[27, 12, 18] Operation: 84-66=18
Moving to Node #0,0
Current State: 33:[27, 12, 18], Operations: ['84-66=18']
Exploring Operation: 18-12=6, Resulting Numbers: [27, 6]
Generated Node #0,0,2: 33:[27, 6] Operation: 18-12=6
Moving to Node #0,0,2
Current State: 33:[27, 6], Operations: ['84-66=18', '18-12=6']
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
38,
84,
32,
10
] | 91 | [
"38+32=70",
"70/10=7",
"84+7=91"
] | Current State: 91:[38, 84, 32, 10], Operations: []
Exploring Operation: 38+32=70, Resulting Numbers: [84, 10, 70]
Generated Node #2: [84, 10, 70] from Operation: 38+32=70
Current State: 91:[84, 10, 70], Operations: ['38+32=70']
Exploring Operation: 70/10=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 70/10=7
Current State: 91:[84, 7], Operations: ['38+32=70', '70/10=7']
Exploring Operation: 84+7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[38, 84, 32, 10], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [84, 10, 6]
Generated Node #0,0: 91:[84, 10, 6] Operation: 38-32=6
Moving to Node #0,0
Current State: 91:[84, 10, 6], Operations: ['38-32=6']
Exploring Operation: 84+10=94, Resulting Numbers: [6, 94]
Generated Node #0,0,0: 91:[6, 94] Operation: 84+10=94
Moving to Node #0,0,0
Current State: 91:[6, 94], Operations: ['38-32=6', '84+10=94']
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,91 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
34,
36,
38,
75
] | 92 | [
"38-36=2",
"34/2=17",
"75+17=92"
] | Current State: 92:[34, 36, 38, 75], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [34, 75, 2]
Generated Node #2: [34, 75, 2] from Operation: 38-36=2
Current State: 92:[34, 75, 2], Operations: ['38-36=2']
Exploring Operation: 34/2=17, Resulting Numbers: [75, 17]
Generated Node #3: [75, 17] from Operation: 34/2=17
Current State: 92:[75, 17], Operations: ['38-36=2', '34/2=17']
Exploring Operation: 75+17=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[34, 36, 38, 75], Operations: []
Exploring Operation: 75-34=41, Resulting Numbers: [36, 38, 41]
Generated Node #0,0: 92:[36, 38, 41] Operation: 75-34=41
Exploring Operation: 75-36=39, Resulting Numbers: [34, 38, 39]
Generated Node #0,1: 92:[34, 38, 39] Operation: 75-36=39
Exploring Operation: 36-34=2, Resulting Numbers: [38, 75, 2]
Generated Node #0,2: 92:[38, 75, 2] Operation: 36-34=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[36, 38, 41], Operations: ['75-34=41']
Exploring Operation: 41-36=5, Resulting Numbers: [38, 5]
Generated Node #0,0,0: 92:[38, 5] Operation: 41-36=5
Exploring Operation: 41-38=3, Resulting Numbers: [36, 3]
Generated Node #0,0,1: 92:[36, 3] Operation: 41-38=3
Exploring Operation: 38-36=2, Resulting Numbers: [41, 2]
Generated Node #0,0,2: 92:[41, 2] Operation: 38-36=2
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 92:[41, 2], Operations: ['75-34=41', '38-36=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[38, 5], Operations: ['75-34=41', '41-36=5']
Exploring Operation: 38*5=190, Resulting Numbers: [190]
190,92 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,92 unequal: No Solution
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[36, 3], Operations: ['75-34=41', '41-38=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,92 unequal: No Solution
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[38, 75, 2], Operations: ['36-34=2']
Exploring Operation: 38/2=19, Resulting Numbers: [75, 19]
Generated Node #0,2,0: 92:[75, 19] Operation: 38/2=19
Exploring Operation: 38+75=113, Resulting Numbers: [2, 113]
Generated Node #0,2,1: 92:[2, 113] Operation: 38+75=113
Exploring Operation: 75-38=37, Resulting Numbers: [2, 37]
Generated Node #0,2,2: 92:[2, 37] Operation: 75-38=37
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[2, 37], Operations: ['36-34=2', '75-38=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[75, 19], Operations: ['36-34=2', '38/2=19']
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,92 unequal: No Solution
Exploring Operation: 75*19=1425, Resulting Numbers: [1425]
1425,92 unequal: No Solution
Exploring Operation: 75+19=94, Resulting Numbers: [94]
94,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 92:[2, 113], Operations: ['36-34=2', '38+75=113']
Exploring Operation: 2+113=115, Resulting Numbers: [115]
115,92 unequal: No Solution
Exploring Operation: 2*113=226, Resulting Numbers: [226]
226,92 unequal: No Solution
Exploring Operation: 113-2=111, Resulting Numbers: [111]
111,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[34, 38, 39], Operations: ['75-36=39']
Exploring Operation: 38-34=4, Resulting Numbers: [39, 4]
Generated Node #0,1,0: 92:[39, 4] Operation: 38-34=4
Exploring Operation: 39-34=5, Resulting Numbers: [38, 5]
Generated Node #0,1,1: 92:[38, 5] Operation: 39-34=5
Exploring Operation: 39-38=1, Resulting Numbers: [34, 1]
Generated Node #0,1,2: 92:[34, 1] Operation: 39-38=1
Moving to Node #0,1,0
Current State: 92:[39, 4], Operations: ['75-36=39', '38-34=4']
Exploring Operation: 39*4=156, Resulting Numbers: [156]
156,92 unequal: No Solution
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[38, 5], Operations: ['75-36=39', '39-34=5']
Exploring Operation: 38*5=190, Resulting Numbers: [190]
190,92 unequal: No Solution
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[34, 1], Operations: ['75-36=39', '39-38=1']
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,92 unequal: No Solution
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,92 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 |
[
62,
61,
59,
83
] | 23 | [
"62-61=1",
"83-59=24",
"24-1=23"
] | Current State: 23:[62, 61, 59, 83], Operations: []
Exploring Operation: 62-61=1, Resulting Numbers: [59, 83, 1]
Generated Node #2: [59, 83, 1] from Operation: 62-61=1
Current State: 23:[59, 83, 1], Operations: ['62-61=1']
Exploring Operation: 83-59=24, Resulting Numbers: [1, 24]
Generated Node #3: [1, 24] from Operation: 83-59=24
Current State: 23:[1, 24], Operations: ['62-61=1', '83-59=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[62, 61, 59, 83], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [61, 83, 3]
Generated Node #0,0: 23:[61, 83, 3] Operation: 62-59=3
Exploring Operation: 83-59=24, Resulting Numbers: [62, 61, 24]
Generated Node #0,1: 23:[62, 61, 24] Operation: 83-59=24
Exploring Operation: 83-62=21, Resulting Numbers: [61, 59, 21]
Generated Node #0,2: 23:[61, 59, 21] Operation: 83-62=21
Exploring Operation: 83-61=22, Resulting Numbers: [62, 59, 22]
Generated Node #0,3: 23:[62, 59, 22] Operation: 83-61=22
Exploring Operation: 62-61=1, Resulting Numbers: [59, 83, 1]
Generated Node #0,4: 23:[59, 83, 1] Operation: 62-61=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[61, 59, 21], Operations: ['83-62=21']
Exploring Operation: 59-21=38, Resulting Numbers: [61, 38]
Generated Node #0,2,0: 23:[61, 38] Operation: 59-21=38
Exploring Operation: 61-59=2, Resulting Numbers: [21, 2]
Generated Node #0,2,1: 23:[21, 2] Operation: 61-59=2
Exploring Operation: 59+21=80, Resulting Numbers: [61, 80]
Generated Node #0,2,2: 23:[61, 80] Operation: 59+21=80
Exploring Operation: 61+21=82, Resulting Numbers: [59, 82]
Generated Node #0,2,3: 23:[59, 82] Operation: 61+21=82
Exploring Operation: 61-21=40, Resulting Numbers: [59, 40]
Generated Node #0,2,4: 23:[59, 40] Operation: 61-21=40
Moving to Node #0,2,1
Current State: 23:[21, 2], Operations: ['83-62=21', '61-59=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,23 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[62, 61, 59, 83], Operations: []
Exploring Operation: 83-62=21, Resulting Numbers: [61, 59, 21]
Generated Node #0,2: 23:[61, 59, 21] Operation: 83-62=21
Moving to Node #0,2
Current State: 23:[61, 59, 21], Operations: ['83-62=21']
Exploring Operation: 61-59=2, Resulting Numbers: [21, 2]
Generated Node #0,2,1: 23:[21, 2] Operation: 61-59=2
Moving to Node #0,2,1
Current State: 23:[21, 2], Operations: ['83-62=21', '61-59=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
12,
11,
14,
7
] | 99 | [
"12-11=1",
"14*7=98",
"1+98=99"
] | Current State: 99:[12, 11, 14, 7], Operations: []
Exploring Operation: 12-11=1, Resulting Numbers: [14, 7, 1]
Generated Node #2: [14, 7, 1] from Operation: 12-11=1
Current State: 99:[14, 7, 1], Operations: ['12-11=1']
Exploring Operation: 14*7=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 14*7=98
Current State: 99:[1, 98], Operations: ['12-11=1', '14*7=98']
Exploring Operation: 1+98=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[12, 11, 14, 7], Operations: []
Exploring Operation: 14*7=98, Resulting Numbers: [12, 11, 98]
Generated Node #0,0: 99:[12, 11, 98] Operation: 14*7=98
Exploring Operation: 14/7=2, Resulting Numbers: [12, 11, 2]
Generated Node #0,1: 99:[12, 11, 2] Operation: 14/7=2
Exploring Operation: 14-12=2, Resulting Numbers: [11, 7, 2]
Generated Node #0,2: 99:[11, 7, 2] Operation: 14-12=2
Moving to Node #0,0
Current State: 99:[12, 11, 98], Operations: ['14*7=98']
Exploring Operation: 12+11=23, Resulting Numbers: [98, 23]
Generated Node #0,0,0: 99:[98, 23] Operation: 12+11=23
Exploring Operation: 12+98=110, Resulting Numbers: [11, 110]
Generated Node #0,0,1: 99:[11, 110] Operation: 12+98=110
Exploring Operation: 12-11=1, Resulting Numbers: [98, 1]
Generated Node #0,0,2: 99:[98, 1] Operation: 12-11=1
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 99:[98, 1], Operations: ['14*7=98', '12-11=1']
Exploring Operation: 98/1=98, Resulting Numbers: [98]
98,99 unequal: No Solution
Exploring Operation: 98+1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[12, 11, 14, 7], Operations: []
Exploring Operation: 14*7=98, Resulting Numbers: [12, 11, 98]
Generated Node #0,0: 99:[12, 11, 98] Operation: 14*7=98
Moving to Node #0,0
Current State: 99:[12, 11, 98], Operations: ['14*7=98']
Exploring Operation: 12-11=1, Resulting Numbers: [98, 1]
Generated Node #0,0,2: 99:[98, 1] Operation: 12-11=1
Moving to Node #0,0,2
Current State: 99:[98, 1], Operations: ['14*7=98', '12-11=1']
Exploring Operation: 98+1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
27,
7,
36,
13
] | 11 | [
"27+7=34",
"36-13=23",
"34-23=11"
] | Current State: 11:[27, 7, 36, 13], Operations: []
Exploring Operation: 27+7=34, Resulting Numbers: [36, 13, 34]
Generated Node #2: [36, 13, 34] from Operation: 27+7=34
Current State: 11:[36, 13, 34], Operations: ['27+7=34']
Exploring Operation: 36-13=23, Resulting Numbers: [34, 23]
Generated Node #3: [34, 23] from Operation: 36-13=23
Current State: 11:[34, 23], Operations: ['27+7=34', '36-13=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[27, 7, 36, 13], Operations: []
Exploring Operation: 27-13=14, Resulting Numbers: [7, 36, 14]
Generated Node #0,0: 11:[7, 36, 14] Operation: 27-13=14
Exploring Operation: 36-27=9, Resulting Numbers: [7, 13, 9]
Generated Node #0,1: 11:[7, 13, 9] Operation: 36-27=9
Exploring Operation: 36-13=23, Resulting Numbers: [27, 7, 23]
Generated Node #0,2: 11:[27, 7, 23] Operation: 36-13=23
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[7, 13, 9], Operations: ['36-27=9']
Exploring Operation: 7+13=20, Resulting Numbers: [9, 20]
Generated Node #0,1,0: 11:[9, 20] Operation: 7+13=20
Exploring Operation: 7+9=16, Resulting Numbers: [13, 16]
Generated Node #0,1,1: 11:[13, 16] Operation: 7+9=16
Exploring Operation: 13-7=6, Resulting Numbers: [9, 6]
Generated Node #0,1,2: 11:[9, 6] Operation: 13-7=6
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[13, 16], Operations: ['36-27=9', '7+9=16']
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 13*16=208, Resulting Numbers: [208]
208,11 unequal: No Solution
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 11:[9, 6], Operations: ['36-27=9', '13-7=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,11 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[9, 20], Operations: ['36-27=9', '7+13=20']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[27, 7, 36, 13], Operations: []
Exploring Operation: 36-27=9, Resulting Numbers: [7, 13, 9]
Generated Node #0,1: 11:[7, 13, 9] Operation: 36-27=9
Moving to Node #0,1
Current State: 11:[7, 13, 9], Operations: ['36-27=9']
Exploring Operation: 7+13=20, Resulting Numbers: [9, 20]
Generated Node #0,1,0: 11:[9, 20] Operation: 7+13=20
Moving to Node #0,1,0
Current State: 11:[9, 20], Operations: ['36-27=9', '7+13=20']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
54,
61,
7,
50
] | 64 | [
"61-54=7",
"7+50=57",
"7+57=64"
] | Current State: 64:[54, 61, 7, 50], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [7, 50, 7]
Generated Node #2: [7, 50, 7] from Operation: 61-54=7
Current State: 64:[7, 50, 7], Operations: ['61-54=7']
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,64 equal: Goal Reached
Exploring Operation: 7+57=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[54, 61, 7, 50], Operations: []
Exploring Operation: 61-50=11, Resulting Numbers: [54, 7, 11]
Generated Node #0,0: 64:[54, 7, 11] Operation: 61-50=11
Exploring Operation: 54-50=4, Resulting Numbers: [61, 7, 4]
Generated Node #0,1: 64:[61, 7, 4] Operation: 54-50=4
Exploring Operation: 61-54=7, Resulting Numbers: [7, 50, 7]
Generated Node #0,2: 64:[7, 50, 7] Operation: 61-54=7
Moving to Node #0,1
Current State: 64:[61, 7, 4], Operations: ['54-50=4']
Exploring Operation: 61+4=65, Resulting Numbers: [7, 65]
Generated Node #0,1,0: 64:[7, 65] Operation: 61+4=65
Exploring Operation: 61+7=68, Resulting Numbers: [4, 68]
Generated Node #0,1,1: 64:[4, 68] Operation: 61+7=68
Exploring Operation: 7-4=3, Resulting Numbers: [61, 3]
Generated Node #0,1,2: 64:[61, 3] Operation: 7-4=3
Moving to Node #0,0
Current State: 64:[54, 7, 11], Operations: ['61-50=11']
Exploring Operation: 11-7=4, Resulting Numbers: [54, 4]
Generated Node #0,0,0: 64:[54, 4] Operation: 11-7=4
Exploring Operation: 54+11=65, Resulting Numbers: [7, 65]
Generated Node #0,0,1: 64:[7, 65] Operation: 54+11=65
Exploring Operation: 54+7=61, Resulting Numbers: [11, 61]
Generated Node #0,0,2: 64:[11, 61] Operation: 54+7=61
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[7, 65], Operations: ['61-50=11', '54+11=65']
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 7*65=455, Resulting Numbers: [455]
455,64 unequal: No Solution
Exploring Operation: 7+65=72, Resulting Numbers: [72]
72,64 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 #0,0,2
Current State: 64:[11, 61], Operations: ['61-50=11', '54+7=61']
Exploring Operation: 11+61=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Exploring Operation: 61-11=50, Resulting Numbers: [50]
50,64 unequal: No Solution
Exploring Operation: 11*61=671, Resulting Numbers: [671]
671,64 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 #0,0,0
Current State: 64:[54, 4], Operations: ['61-50=11', '11-7=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,64 unequal: No Solution
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,64 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:[7, 50, 7], Operations: ['61-54=7']
Exploring Operation: 7+50=57, Resulting Numbers: [7, 57]
Generated Node #0,2,0: 64:[7, 57] Operation: 7+50=57
Exploring Operation: 50-7=43, Resulting Numbers: [7, 43]
Generated Node #0,2,1: 64:[7, 43] Operation: 50-7=43
Exploring Operation: 50+7=57, Resulting Numbers: [7, 57]
Generated Node #0,2,2: 64:[7, 57] Operation: 50+7=57
Moving to Node #0,1,0
Current State: 64:[7, 65], Operations: ['54-50=4', '61+4=65']
Exploring Operation: 7+65=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 7*65=455, Resulting Numbers: [455]
455,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[61, 3], Operations: ['54-50=4', '7-4=3']
Exploring Operation: 61*3=183, Resulting Numbers: [183]
183,64 unequal: No Solution
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[54, 61, 7, 50], Operations: []
Exploring Operation: 54-50=4, Resulting Numbers: [61, 7, 4]
Generated Node #0,1: 64:[61, 7, 4] Operation: 54-50=4
Moving to Node #0,1
Current State: 64:[61, 7, 4], Operations: ['54-50=4']
Exploring Operation: 7-4=3, Resulting Numbers: [61, 3]
Generated Node #0,1,2: 64:[61, 3] Operation: 7-4=3
Moving to Node #0,1,2
Current State: 64:[61, 3], Operations: ['54-50=4', '7-4=3']
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 0.973958 | hs_3 | sum_heuristic |
[
2,
6,
93,
54
] | 69 | [
"6/2=3",
"54*3=162",
"162-93=69"
] | Current State: 69:[2, 6, 93, 54], Operations: []
Exploring Operation: 6/2=3, Resulting Numbers: [93, 54, 3]
Generated Node #2: [93, 54, 3] from Operation: 6/2=3
Current State: 69:[93, 54, 3], Operations: ['6/2=3']
Exploring Operation: 54*3=162, Resulting Numbers: [93, 162]
Generated Node #3: [93, 162] from Operation: 54*3=162
Current State: 69:[93, 162], Operations: ['6/2=3', '54*3=162']
Exploring Operation: 162-93=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[2, 6, 93, 54], Operations: []
Exploring Operation: 93-54=39, Resulting Numbers: [2, 6, 39]
Generated Node #0,0: 69:[2, 6, 39] Operation: 93-54=39
Exploring Operation: 6+54=60, Resulting Numbers: [2, 93, 60]
Generated Node #0,1: 69:[2, 93, 60] Operation: 6+54=60
Exploring Operation: 54/2=27, Resulting Numbers: [6, 93, 27]
Generated Node #0,2: 69:[6, 93, 27] Operation: 54/2=27
Exploring Operation: 54/6=9, Resulting Numbers: [2, 93, 9]
Generated Node #0,3: 69:[2, 93, 9] Operation: 54/6=9
Exploring Operation: 93-6=87, Resulting Numbers: [2, 54, 87]
Generated Node #0,4: 69:[2, 54, 87] Operation: 93-6=87
Moving to Node #0,0
Current State: 69:[2, 6, 39], Operations: ['93-54=39']
Exploring Operation: 39-2=37, Resulting Numbers: [6, 37]
Generated Node #0,0,0: 69:[6, 37] Operation: 39-2=37
Exploring Operation: 6/2=3, Resulting Numbers: [39, 3]
Generated Node #0,0,1: 69:[39, 3] Operation: 6/2=3
Exploring Operation: 39-6=33, Resulting Numbers: [2, 33]
Generated Node #0,0,2: 69:[2, 33] Operation: 39-6=33
Exploring Operation: 2*39=78, Resulting Numbers: [6, 78]
Generated Node #0,0,3: 69:[6, 78] Operation: 2*39=78
Exploring Operation: 6-2=4, Resulting Numbers: [39, 4]
Generated Node #0,0,4: 69:[39, 4] Operation: 6-2=4
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 69:[2, 33], Operations: ['93-54=39', '39-6=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 69:[6, 78], Operations: ['93-54=39', '2*39=78']
Exploring Operation: 6*78=468, Resulting Numbers: [468]
468,69 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,69 unequal: No Solution
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,69 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[39, 3], Operations: ['93-54=39', '6/2=3']
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,69 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[6, 37], Operations: ['93-54=39', '39-2=37']
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 6+37=43, Resulting Numbers: [43]
43,69 unequal: No Solution
Exploring Operation: 6*37=222, Resulting Numbers: [222]
222,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 69:[39, 4], Operations: ['93-54=39', '6-2=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Exploring Operation: 39*4=156, Resulting Numbers: [156]
156,69 unequal: No Solution
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,69 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: 69:[2, 93, 9], Operations: ['54/6=9']
Exploring Operation: 93-2=91, Resulting Numbers: [9, 91]
Generated Node #0,3,0: 69:[9, 91] Operation: 93-2=91
Exploring Operation: 93-9=84, Resulting Numbers: [2, 84]
Generated Node #0,3,1: 69:[2, 84] Operation: 93-9=84
Exploring Operation: 9-2=7, Resulting Numbers: [93, 7]
Generated Node #0,3,2: 69:[93, 7] Operation: 9-2=7
Exploring Operation: 2+93=95, Resulting Numbers: [9, 95]
Generated Node #0,3,3: 69:[9, 95] Operation: 2+93=95
Exploring Operation: 2*9=18, Resulting Numbers: [93, 18]
Generated Node #0,3,4: 69:[93, 18] Operation: 2*9=18
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 69:[2, 84], Operations: ['54/6=9', '93-9=84']
Exploring Operation: 2*84=168, Resulting Numbers: [168]
168,69 unequal: No Solution
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,69 unequal: No Solution
Exploring Operation: 2+84=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 69:[9, 91], Operations: ['54/6=9', '93-2=91']
Exploring Operation: 9*91=819, Resulting Numbers: [819]
819,69 unequal: No Solution
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,69 unequal: No Solution
Exploring Operation: 9+91=100, Resulting Numbers: [100]
100,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 69:[93, 7], Operations: ['54/6=9', '9-2=7']
Exploring Operation: 93-7=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 93+7=100, Resulting Numbers: [100]
100,69 unequal: No Solution
Exploring Operation: 93*7=651, Resulting Numbers: [651]
651,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 69:[93, 18], Operations: ['54/6=9', '2*9=18']
Exploring Operation: 93+18=111, Resulting Numbers: [111]
111,69 unequal: No Solution
Exploring Operation: 93*18=1674, Resulting Numbers: [1674]
1674,69 unequal: No Solution
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 69:[9, 95], Operations: ['54/6=9', '2+93=95']
Exploring Operation: 9*95=855, Resulting Numbers: [855]
855,69 unequal: No Solution
Exploring Operation: 9+95=104, Resulting Numbers: [104]
104,69 unequal: No Solution
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,69 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: 69:[6, 93, 27], Operations: ['54/2=27']
Exploring Operation: 93-27=66, Resulting Numbers: [6, 66]
Generated Node #0,2,0: 69:[6, 66] Operation: 93-27=66
Exploring Operation: 27-6=21, Resulting Numbers: [93, 21]
Generated Node #0,2,1: 69:[93, 21] Operation: 27-6=21
Exploring Operation: 6+93=99, Resulting Numbers: [27, 99]
Generated Node #0,2,2: 69:[27, 99] Operation: 6+93=99
Exploring Operation: 6+27=33, Resulting Numbers: [93, 33]
Generated Node #0,2,3: 69:[93, 33] Operation: 6+27=33
Exploring Operation: 93-6=87, Resulting Numbers: [27, 87]
Generated Node #0,2,4: 69:[27, 87] Operation: 93-6=87
Moving to Node #0,1
Current State: 69:[2, 93, 60], Operations: ['6+54=60']
Exploring Operation: 93-60=33, Resulting Numbers: [2, 33]
Generated Node #0,1,0: 69:[2, 33] Operation: 93-60=33
Exploring Operation: 2+93=95, Resulting Numbers: [60, 95]
Generated Node #0,1,1: 69:[60, 95] Operation: 2+93=95
Exploring Operation: 2+60=62, Resulting Numbers: [93, 62]
Generated Node #0,1,2: 69:[93, 62] Operation: 2+60=62
Exploring Operation: 60/2=30, Resulting Numbers: [93, 30]
Generated Node #0,1,3: 69:[93, 30] Operation: 60/2=30
Exploring Operation: 93-2=91, Resulting Numbers: [60, 91]
Generated Node #0,1,4: 69:[60, 91] Operation: 93-2=91
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 69:[2, 33], Operations: ['6+54=60', '93-60=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 69:[93, 62], Operations: ['6+54=60', '2+60=62']
Exploring Operation: 93+62=155, Resulting Numbers: [155]
155,69 unequal: No Solution
Exploring Operation: 93-62=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 93*62=5766, Resulting Numbers: [5766]
5766,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 69:[93, 30], Operations: ['6+54=60', '60/2=30']
Exploring Operation: 93*30=2790, Resulting Numbers: [2790]
2790,69 unequal: No Solution
Exploring Operation: 93-30=63, Resulting Numbers: [63]
63,69 unequal: No Solution
Exploring Operation: 93+30=123, Resulting Numbers: [123]
123,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 69:[60, 91], Operations: ['6+54=60', '93-2=91']
Exploring Operation: 60+91=151, Resulting Numbers: [151]
151,69 unequal: No Solution
Exploring Operation: 60*91=5460, Resulting Numbers: [5460]
5460,69 unequal: No Solution
Exploring Operation: 91-60=31, Resulting Numbers: [31]
31,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 69:[60, 95], Operations: ['6+54=60', '2+93=95']
Exploring Operation: 60+95=155, Resulting Numbers: [155]
155,69 unequal: No Solution
Exploring Operation: 60*95=5700, Resulting Numbers: [5700]
5700,69 unequal: No Solution
Exploring Operation: 95-60=35, Resulting Numbers: [35]
35,69 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: 69:[2, 54, 87], Operations: ['93-6=87']
Exploring Operation: 54/2=27, Resulting Numbers: [87, 27]
Generated Node #0,4,0: 69:[87, 27] Operation: 54/2=27
Exploring Operation: 54-2=52, Resulting Numbers: [87, 52]
Generated Node #0,4,1: 69:[87, 52] Operation: 54-2=52
Exploring Operation: 87-54=33, Resulting Numbers: [2, 33]
Generated Node #0,4,2: 69:[2, 33] Operation: 87-54=33
Exploring Operation: 87-2=85, Resulting Numbers: [54, 85]
Generated Node #0,4,3: 69:[54, 85] Operation: 87-2=85
Exploring Operation: 2+54=56, Resulting Numbers: [87, 56]
Generated Node #0,4,4: 69:[87, 56] Operation: 2+54=56
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 69:[2, 33], Operations: ['93-6=87', '87-54=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 69:[87, 27], Operations: ['93-6=87', '54/2=27']
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 87+27=114, Resulting Numbers: [114]
114,69 unequal: No Solution
Exploring Operation: 87*27=2349, Resulting Numbers: [2349]
2349,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 69:[54, 85], Operations: ['93-6=87', '87-2=85']
Exploring Operation: 54*85=4590, Resulting Numbers: [4590]
4590,69 unequal: No Solution
Exploring Operation: 54+85=139, Resulting Numbers: [139]
139,69 unequal: No Solution
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 69:[87, 56], Operations: ['93-6=87', '2+54=56']
Exploring Operation: 87-56=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 87*56=4872, Resulting Numbers: [4872]
4872,69 unequal: No Solution
Exploring Operation: 87+56=143, Resulting Numbers: [143]
143,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 69:[87, 52], Operations: ['93-6=87', '54-2=52']
Exploring Operation: 87*52=4524, Resulting Numbers: [4524]
4524,69 unequal: No Solution
Exploring Operation: 87+52=139, Resulting Numbers: [139]
139,69 unequal: No Solution
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 69:[6, 66], Operations: ['54/2=27', '93-27=66']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,69 unequal: No Solution
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 6*66=396, Resulting Numbers: [396]
396,69 unequal: No Solution
Exploring Operation: 6+66=72, Resulting Numbers: [72]
72,69 unequal: No Solution
Moving to Node #0,2,4
Current State: 69:[27, 87], Operations: ['54/2=27', '93-6=87']
Exploring Operation: 27+87=114, Resulting Numbers: [114]
114,69 unequal: No Solution
Exploring Operation: 27*87=2349, Resulting Numbers: [2349]
2349,69 unequal: No Solution
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[93, 21], Operations: ['54/2=27', '27-6=21']
Exploring Operation: 93+21=114, Resulting Numbers: [114]
114,69 unequal: No Solution
Exploring Operation: 93*21=1953, Resulting Numbers: [1953]
1953,69 unequal: No Solution
Exploring Operation: 93-21=72, Resulting Numbers: [72]
72,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[27, 99], Operations: ['54/2=27', '6+93=99']
Exploring Operation: 99-27=72, Resulting Numbers: [72]
72,69 unequal: No Solution
Exploring Operation: 27+99=126, Resulting Numbers: [126]
126,69 unequal: No Solution
Exploring Operation: 27*99=2673, Resulting Numbers: [2673]
2673,69 unequal: No Solution
Moving to Node #0,2,3
Current State: 69:[93, 33], Operations: ['54/2=27', '6+27=33']
Exploring Operation: 93-33=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 93*33=3069, Resulting Numbers: [3069]
3069,69 unequal: No Solution
Exploring Operation: 93+33=126, Resulting Numbers: [126]
126,69 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
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