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 |
|---|---|---|---|---|---|---|---|---|
[
83,
12,
91,
91
] | 71 | [
"83-12=71",
"91-91=0",
"71+0=71"
] | Current State: 71:[83, 12, 91, 91], Operations: []
Exploring Operation: 83-12=71, Resulting Numbers: [91, 91, 71]
Generated Node #2: [91, 91, 71] from Operation: 83-12=71
Current State: 71:[91, 91, 71], Operations: ['83-12=71']
Exploring Operation: 91-91=0, Resulting Numbers: [71, 0]
Generated Node #3: [71, 0] from Operation: 91-91=0
Current State: 71:[71, 0], Operations: ['83-12=71', '91-91=0']
Exploring Operation: 71+0=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[83, 12, 91, 91], Operations: []
Exploring Operation: 83-12=71, Resulting Numbers: [91, 91, 71]
Generated Node #0,0: 71:[91, 91, 71] Operation: 83-12=71
Exploring Operation: 91-12=79, Resulting Numbers: [83, 91, 79]
Generated Node #0,1: 71:[83, 91, 79] Operation: 91-12=79
Exploring Operation: 91-12=79, Resulting Numbers: [83, 91, 79]
Generated Node #0,2: 71:[83, 91, 79] Operation: 91-12=79
Moving to Node #0,0
Current State: 71:[91, 91, 71], Operations: ['83-12=71']
Exploring Operation: 91-91=0, Resulting Numbers: [71, 0]
Generated Node #0,0,0: 71:[71, 0] Operation: 91-91=0
Exploring Operation: 91/91=1, Resulting Numbers: [71, 1]
Generated Node #0,0,1: 71:[71, 1] Operation: 91/91=1
Exploring Operation: 91-71=20, Resulting Numbers: [91, 20]
Generated Node #0,0,2: 71:[91, 20] Operation: 91-71=20
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[71, 1], Operations: ['83-12=71', '91/91=1']
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[83, 12, 91, 91], Operations: []
Exploring Operation: 83-12=71, Resulting Numbers: [91, 91, 71]
Generated Node #0,0: 71:[91, 91, 71] Operation: 83-12=71
Moving to Node #0,0
Current State: 71:[91, 91, 71], Operations: ['83-12=71']
Exploring Operation: 91/91=1, Resulting Numbers: [71, 1]
Generated Node #0,0,1: 71:[71, 1] Operation: 91/91=1
Moving to Node #0,0,1
Current State: 71:[71, 1], Operations: ['83-12=71', '91/91=1']
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
79,
6,
84,
82
] | 11 | [
"82-79=3",
"84/6=14",
"14-3=11"
] | Current State: 11:[79, 6, 84, 82], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [6, 84, 3]
Generated Node #2: [6, 84, 3] from Operation: 82-79=3
Current State: 11:[6, 84, 3], Operations: ['82-79=3']
Exploring Operation: 84/6=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 84/6=14
Current State: 11:[3, 14], Operations: ['82-79=3', '84/6=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[79, 6, 84, 82], Operations: []
Exploring Operation: 79-6=73, Resulting Numbers: [84, 82, 73]
Generated Node #0,0: 11:[84, 82, 73] Operation: 79-6=73
Exploring Operation: 84-79=5, Resulting Numbers: [6, 82, 5]
Generated Node #0,1: 11:[6, 82, 5] Operation: 84-79=5
Exploring Operation: 84/6=14, Resulting Numbers: [79, 82, 14]
Generated Node #0,2: 11:[79, 82, 14] Operation: 84/6=14
Exploring Operation: 82-79=3, Resulting Numbers: [6, 84, 3]
Generated Node #0,3: 11:[6, 84, 3] Operation: 82-79=3
Exploring Operation: 84-82=2, Resulting Numbers: [79, 6, 2]
Generated Node #0,4: 11:[79, 6, 2] Operation: 84-82=2
Moving to Node #0,1
Current State: 11:[6, 82, 5], Operations: ['84-79=5']
Exploring Operation: 6+5=11, Resulting Numbers: [82, 11]
Generated Node #0,1,0: 11:[82, 11] Operation: 6+5=11
Exploring Operation: 82-6=76, Resulting Numbers: [5, 76]
Generated Node #0,1,1: 11:[5, 76] Operation: 82-6=76
Exploring Operation: 82-5=77, Resulting Numbers: [6, 77]
Generated Node #0,1,2: 11:[6, 77] Operation: 82-5=77
Exploring Operation: 6-5=1, Resulting Numbers: [82, 1]
Generated Node #0,1,3: 11:[82, 1] Operation: 6-5=1
Exploring Operation: 82+5=87, Resulting Numbers: [6, 87]
Generated Node #0,1,4: 11:[6, 87] Operation: 82+5=87
Moving to Node #0,4
Current State: 11:[79, 6, 2], Operations: ['84-82=2']
Exploring Operation: 79+2=81, Resulting Numbers: [6, 81]
Generated Node #0,4,0: 11:[6, 81] Operation: 79+2=81
Exploring Operation: 6*2=12, Resulting Numbers: [79, 12]
Generated Node #0,4,1: 11:[79, 12] Operation: 6*2=12
Exploring Operation: 79-2=77, Resulting Numbers: [6, 77]
Generated Node #0,4,2: 11:[6, 77] Operation: 79-2=77
Exploring Operation: 79-6=73, Resulting Numbers: [2, 73]
Generated Node #0,4,3: 11:[2, 73] Operation: 79-6=73
Exploring Operation: 6+2=8, Resulting Numbers: [79, 8]
Generated Node #0,4,4: 11:[79, 8] Operation: 6+2=8
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 11:[79, 12], Operations: ['84-82=2', '6*2=12']
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,11 unequal: No Solution
Exploring Operation: 79*12=948, Resulting Numbers: [948]
948,11 unequal: No Solution
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 11:[6, 77], Operations: ['84-82=2', '79-2=77']
Exploring Operation: 6+77=83, Resulting Numbers: [83]
83,11 unequal: No Solution
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,11 unequal: No Solution
Exploring Operation: 6*77=462, Resulting Numbers: [462]
462,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 11:[2, 73], Operations: ['84-82=2', '79-6=73']
Exploring Operation: 2*73=146, Resulting Numbers: [146]
146,11 unequal: No Solution
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,11 unequal: No Solution
Exploring Operation: 2+73=75, Resulting Numbers: [75]
75,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 11:[79, 8], Operations: ['84-82=2', '6+2=8']
Exploring Operation: 79*8=632, Resulting Numbers: [632]
632,11 unequal: No Solution
Exploring Operation: 79-8=71, Resulting Numbers: [71]
71,11 unequal: No Solution
Exploring Operation: 79+8=87, Resulting Numbers: [87]
87,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 11:[6, 81], Operations: ['84-82=2', '79+2=81']
Exploring Operation: 6+81=87, Resulting Numbers: [87]
87,11 unequal: No Solution
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,11 unequal: No Solution
Exploring Operation: 6*81=486, Resulting Numbers: [486]
486,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 11:[6, 84, 3], Operations: ['82-79=3']
Exploring Operation: 84/6=14, Resulting Numbers: [3, 14]
Generated Node #0,3,0: 11:[3, 14] Operation: 84/6=14
Exploring Operation: 6+3=9, Resulting Numbers: [84, 9]
Generated Node #0,3,1: 11:[84, 9] Operation: 6+3=9
Exploring Operation: 84/3=28, Resulting Numbers: [6, 28]
Generated Node #0,3,2: 11:[6, 28] Operation: 84/3=28
Exploring Operation: 84-3=81, Resulting Numbers: [6, 81]
Generated Node #0,3,3: 11:[6, 81] Operation: 84-3=81
Exploring Operation: 84-6=78, Resulting Numbers: [3, 78]
Generated Node #0,3,4: 11:[3, 78] Operation: 84-6=78
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[3, 14], Operations: ['82-79=3', '84/6=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,11 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[79, 6, 84, 82], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [6, 84, 3]
Generated Node #0,3: 11:[6, 84, 3] Operation: 82-79=3
Moving to Node #0,3
Current State: 11:[6, 84, 3], Operations: ['82-79=3']
Exploring Operation: 84/6=14, Resulting Numbers: [3, 14]
Generated Node #0,3,0: 11:[3, 14] Operation: 84/6=14
Moving to Node #0,3,0
Current State: 11:[3, 14], Operations: ['82-79=3', '84/6=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
16,
28,
10,
8
] | 18 | [
"28*10=280",
"8+280=288",
"288/16=18"
] | Current State: 18:[16, 28, 10, 8], Operations: []
Exploring Operation: 28*10=280, Resulting Numbers: [16, 8, 280]
Generated Node #2: [16, 8, 280] from Operation: 28*10=280
Current State: 18:[16, 8, 280], Operations: ['28*10=280']
Exploring Operation: 8+280=288, Resulting Numbers: [16, 288]
Generated Node #3: [16, 288] from Operation: 8+280=288
Current State: 18:[16, 288], Operations: ['28*10=280', '8+280=288']
Exploring Operation: 288/16=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[16, 28, 10, 8], Operations: []
Exploring Operation: 28-10=18, Resulting Numbers: [16, 8, 18]
Generated Node #0,0: 18:[16, 8, 18] Operation: 28-10=18
Exploring Operation: 28-16=12, Resulting Numbers: [10, 8, 12]
Generated Node #0,1: 18:[10, 8, 12] Operation: 28-16=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[16, 8, 18], Operations: ['28-10=18']
Exploring Operation: 16-8=8, Resulting Numbers: [18, 8]
Generated Node #0,0,0: 18:[18, 8] Operation: 16-8=8
Exploring Operation: 16/8=2, Resulting Numbers: [18, 2]
Generated Node #0,0,1: 18:[18, 2] Operation: 16/8=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 18:[18, 2], Operations: ['28-10=18', '16/8=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,18 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,18 unequal: No Solution
No 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: 18:[18, 8], Operations: ['28-10=18', '16-8=8']
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,18 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,18 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: 18:[10, 8, 12], Operations: ['28-16=12']
Exploring Operation: 12-8=4, Resulting Numbers: [10, 4]
Generated Node #0,1,0: 18:[10, 4] Operation: 12-8=4
Exploring Operation: 12-10=2, Resulting Numbers: [8, 2]
Generated Node #0,1,1: 18:[8, 2] Operation: 12-10=2
Moving to Node #0,1,1
Current State: 18:[8, 2], Operations: ['28-16=12', '12-10=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[10, 4], Operations: ['28-16=12', '12-8=4']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
55,
5,
19,
84
] | 68 | [
"84-19=65",
"65/5=13",
"55+13=68"
] | Current State: 68:[55, 5, 19, 84], Operations: []
Exploring Operation: 84-19=65, Resulting Numbers: [55, 5, 65]
Generated Node #2: [55, 5, 65] from Operation: 84-19=65
Current State: 68:[55, 5, 65], Operations: ['84-19=65']
Exploring Operation: 65/5=13, Resulting Numbers: [55, 13]
Generated Node #3: [55, 13] from Operation: 65/5=13
Current State: 68:[55, 13], Operations: ['84-19=65', '65/5=13']
Exploring Operation: 55+13=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[55, 5, 19, 84], Operations: []
Exploring Operation: 55-19=36, Resulting Numbers: [5, 84, 36]
Generated Node #0,0: 68:[5, 84, 36] Operation: 55-19=36
Exploring Operation: 84-19=65, Resulting Numbers: [55, 5, 65]
Generated Node #0,1: 68:[55, 5, 65] Operation: 84-19=65
Exploring Operation: 55+19=74, Resulting Numbers: [5, 84, 74]
Generated Node #0,2: 68:[5, 84, 74] Operation: 55+19=74
Exploring Operation: 84-55=29, Resulting Numbers: [5, 19, 29]
Generated Node #0,3: 68:[5, 19, 29] Operation: 84-55=29
Moving to Node #0,3
Current State: 68:[5, 19, 29], Operations: ['84-55=29']
Exploring Operation: 5+29=34, Resulting Numbers: [19, 34]
Generated Node #0,3,0: 68:[19, 34] Operation: 5+29=34
Exploring Operation: 19-5=14, Resulting Numbers: [29, 14]
Generated Node #0,3,1: 68:[29, 14] Operation: 19-5=14
Exploring Operation: 29-5=24, Resulting Numbers: [19, 24]
Generated Node #0,3,2: 68:[19, 24] Operation: 29-5=24
Exploring Operation: 29-19=10, Resulting Numbers: [5, 10]
Generated Node #0,3,3: 68:[5, 10] Operation: 29-19=10
Moving to Node #0,1
Current State: 68:[55, 5, 65], Operations: ['84-19=65']
Exploring Operation: 55/5=11, Resulting Numbers: [65, 11]
Generated Node #0,1,0: 68:[65, 11] Operation: 55/5=11
Exploring Operation: 55+5=60, Resulting Numbers: [65, 60]
Generated Node #0,1,1: 68:[65, 60] Operation: 55+5=60
Exploring Operation: 65-55=10, Resulting Numbers: [5, 10]
Generated Node #0,1,2: 68:[5, 10] Operation: 65-55=10
Exploring Operation: 5+65=70, Resulting Numbers: [55, 70]
Generated Node #0,1,3: 68:[55, 70] Operation: 5+65=70
Moving to Node #0,0
Current State: 68:[5, 84, 36], Operations: ['55-19=36']
Exploring Operation: 36-5=31, Resulting Numbers: [84, 31]
Generated Node #0,0,0: 68:[84, 31] Operation: 36-5=31
Exploring Operation: 84-36=48, Resulting Numbers: [5, 48]
Generated Node #0,0,1: 68:[5, 48] Operation: 84-36=48
Exploring Operation: 84-5=79, Resulting Numbers: [36, 79]
Generated Node #0,0,2: 68:[36, 79] Operation: 84-5=79
Exploring Operation: 5+84=89, Resulting Numbers: [36, 89]
Generated Node #0,0,3: 68:[36, 89] Operation: 5+84=89
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 68:[36, 79], Operations: ['55-19=36', '84-5=79']
Exploring Operation: 36+79=115, Resulting Numbers: [115]
115,68 unequal: No Solution
Exploring Operation: 36*79=2844, Resulting Numbers: [2844]
2844,68 unequal: No Solution
Exploring Operation: 79-36=43, Resulting Numbers: [43]
43,68 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 #0,0,1
Current State: 68:[5, 48], Operations: ['55-19=36', '84-36=48']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,68 unequal: No Solution
Exploring Operation: 5+48=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Exploring Operation: 5*48=240, Resulting Numbers: [240]
240,68 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:[84, 31], Operations: ['55-19=36', '36-5=31']
Exploring Operation: 84+31=115, Resulting Numbers: [115]
115,68 unequal: No Solution
Exploring Operation: 84*31=2604, Resulting Numbers: [2604]
2604,68 unequal: No Solution
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,68 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:[36, 89], Operations: ['55-19=36', '5+84=89']
Exploring Operation: 36+89=125, Resulting Numbers: [125]
125,68 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Exploring Operation: 36*89=3204, Resulting Numbers: [3204]
3204,68 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:[5, 84, 74], Operations: ['55+19=74']
Exploring Operation: 74-5=69, Resulting Numbers: [84, 69]
Generated Node #0,2,0: 68:[84, 69] Operation: 74-5=69
Exploring Operation: 84-5=79, Resulting Numbers: [74, 79]
Generated Node #0,2,1: 68:[74, 79] Operation: 84-5=79
Exploring Operation: 5+84=89, Resulting Numbers: [74, 89]
Generated Node #0,2,2: 68:[74, 89] Operation: 5+84=89
Exploring Operation: 84-74=10, Resulting Numbers: [5, 10]
Generated Node #0,2,3: 68:[5, 10] Operation: 84-74=10
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 68:[5, 10], Operations: ['55+19=74', '84-74=10']
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,68 unequal: No Solution
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,68 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 #0,2,0
Current State: 68:[84, 69], Operations: ['55+19=74', '74-5=69']
Exploring Operation: 84*69=5796, Resulting Numbers: [5796]
5796,68 unequal: No Solution
Exploring Operation: 84+69=153, Resulting Numbers: [153]
153,68 unequal: No Solution
Exploring Operation: 84-69=15, Resulting Numbers: [15]
15,68 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 #0,2,1
Current State: 68:[74, 79], Operations: ['55+19=74', '84-5=79']
Exploring Operation: 74*79=5846, Resulting Numbers: [5846]
5846,68 unequal: No Solution
Exploring Operation: 74+79=153, Resulting Numbers: [153]
153,68 unequal: No Solution
Exploring Operation: 79-74=5, Resulting Numbers: [5]
5,68 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 #0,2,2
Current State: 68:[74, 89], Operations: ['55+19=74', '5+84=89']
Exploring Operation: 74*89=6586, Resulting Numbers: [6586]
6586,68 unequal: No Solution
Exploring Operation: 89-74=15, Resulting Numbers: [15]
15,68 unequal: No Solution
Exploring Operation: 74+89=163, Resulting Numbers: [163]
163,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 68:[19, 34], Operations: ['84-55=29', '5+29=34']
Exploring Operation: 19+34=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,68 unequal: No Solution
Exploring Operation: 19*34=646, Resulting Numbers: [646]
646,68 unequal: No Solution
Moving to Node #0,3,3
Current State: 68:[5, 10], Operations: ['84-55=29', '29-19=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,68 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,68 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Moving to Node #0,1,2
Current State: 68:[5, 10], Operations: ['84-19=65', '65-55=10']
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,68 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,68 unequal: No Solution
Moving to Node #0,3,1
Current State: 68:[29, 14], Operations: ['84-55=29', '19-5=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,68 unequal: No Solution
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,68 unequal: No Solution
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,68 unequal: No Solution
Moving to Node #0,1,0
Current State: 68:[65, 11], Operations: ['84-19=65', '55/5=11']
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,68 unequal: No Solution
Exploring Operation: 65*11=715, Resulting Numbers: [715]
715,68 unequal: No Solution
Exploring Operation: 65+11=76, Resulting Numbers: [76]
76,68 unequal: No Solution
Moving to Node #0,3,2
Current State: 68:[19, 24], Operations: ['84-55=29', '29-5=24']
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,68 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 19*24=456, Resulting Numbers: [456]
456,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[65, 60], Operations: ['84-19=65', '55+5=60']
Exploring Operation: 65+60=125, Resulting Numbers: [125]
125,68 unequal: No Solution
Exploring Operation: 65*60=3900, Resulting Numbers: [3900]
3900,68 unequal: No Solution
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Moving to Node #0,1,3
Current State: 68:[55, 70], Operations: ['84-19=65', '5+65=70']
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,68 unequal: No Solution
Exploring Operation: 55+70=125, Resulting Numbers: [125]
125,68 unequal: No Solution
Exploring Operation: 55*70=3850, Resulting Numbers: [3850]
3850,68 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
42,
49,
35,
91
] | 18 | [
"49-42=7",
"35+91=126",
"126/7=18"
] | Current State: 18:[42, 49, 35, 91], Operations: []
Exploring Operation: 49-42=7, Resulting Numbers: [35, 91, 7]
Generated Node #2: [35, 91, 7] from Operation: 49-42=7
Current State: 18:[35, 91, 7], Operations: ['49-42=7']
Exploring Operation: 35+91=126, Resulting Numbers: [7, 126]
Generated Node #3: [7, 126] from Operation: 35+91=126
Current State: 18:[7, 126], Operations: ['49-42=7', '35+91=126']
Exploring Operation: 126/7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[42, 49, 35, 91], Operations: []
Exploring Operation: 49-42=7, Resulting Numbers: [35, 91, 7]
Generated Node #0,0: 18:[35, 91, 7] Operation: 49-42=7
Exploring Operation: 91-42=49, Resulting Numbers: [49, 35, 49]
Generated Node #0,1: 18:[49, 35, 49] Operation: 91-42=49
Exploring Operation: 91-49=42, Resulting Numbers: [42, 35, 42]
Generated Node #0,2: 18:[42, 35, 42] Operation: 91-49=42
Moving to Node #0,2
Current State: 18:[42, 35, 42], Operations: ['91-49=42']
Exploring Operation: 42/42=1, Resulting Numbers: [35, 1]
Generated Node #0,2,0: 18:[35, 1] Operation: 42/42=1
Exploring Operation: 42-35=7, Resulting Numbers: [42, 7]
Generated Node #0,2,1: 18:[42, 7] Operation: 42-35=7
Exploring Operation: 42-42=0, Resulting Numbers: [35, 0]
Generated Node #0,2,2: 18:[35, 0] Operation: 42-42=0
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[35, 1], Operations: ['91-49=42', '42/42=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,18 unequal: No Solution
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,18 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 #0,2,2
Current State: 18:[35, 0], Operations: ['91-49=42', '42-42=0']
Exploring Operation: 35+0=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 35-0=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 35*0=0, Resulting Numbers: [0]
0,18 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 #0,2,1
Current State: 18:[42, 7], Operations: ['91-49=42', '42-35=7']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,18 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:[49, 35, 49], Operations: ['91-42=49']
Exploring Operation: 49/49=1, Resulting Numbers: [35, 1]
Generated Node #0,1,0: 18:[35, 1] Operation: 49/49=1
Exploring Operation: 49-49=0, Resulting Numbers: [35, 0]
Generated Node #0,1,1: 18:[35, 0] Operation: 49-49=0
Exploring Operation: 49-35=14, Resulting Numbers: [49, 14]
Generated Node #0,1,2: 18:[49, 14] Operation: 49-35=14
Moving to Node #0,0
Current State: 18:[35, 91, 7], Operations: ['49-42=7']
Exploring Operation: 91/7=13, Resulting Numbers: [35, 13]
Generated Node #0,0,0: 18:[35, 13] Operation: 91/7=13
Exploring Operation: 35/7=5, Resulting Numbers: [91, 5]
Generated Node #0,0,1: 18:[91, 5] Operation: 35/7=5
Exploring Operation: 91-35=56, Resulting Numbers: [7, 56]
Generated Node #0,0,2: 18:[7, 56] Operation: 91-35=56
Moving to Node #0,1,0
Current State: 18:[35, 1], Operations: ['91-42=49', '49/49=1']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,18 unequal: No Solution
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[35, 0], Operations: ['91-42=49', '49-49=0']
Exploring Operation: 35+0=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 35*0=0, Resulting Numbers: [0]
0,18 unequal: No Solution
Exploring Operation: 35-0=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[35, 13], Operations: ['49-42=7', '91/7=13']
Exploring Operation: 35+13=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 35*13=455, Resulting Numbers: [455]
455,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[49, 14], Operations: ['91-42=49', '49-35=14']
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 49+14=63, Resulting Numbers: [63]
63,18 unequal: No Solution
Exploring Operation: 49*14=686, Resulting Numbers: [686]
686,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[7, 56], Operations: ['49-42=7', '91-35=56']
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,18 unequal: No Solution
Exploring Operation: 7+56=63, Resulting Numbers: [63]
63,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[91, 5], Operations: ['49-42=7', '35/7=5']
Exploring Operation: 91*5=455, Resulting Numbers: [455]
455,18 unequal: No Solution
Exploring Operation: 91+5=96, Resulting Numbers: [96]
96,18 unequal: No Solution
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,18 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
41,
34,
60,
43
] | 24 | [
"41-34=7",
"60-43=17",
"7+17=24"
] | Current State: 24:[41, 34, 60, 43], Operations: []
Exploring Operation: 41-34=7, Resulting Numbers: [60, 43, 7]
Generated Node #2: [60, 43, 7] from Operation: 41-34=7
Current State: 24:[60, 43, 7], Operations: ['41-34=7']
Exploring Operation: 60-43=17, Resulting Numbers: [7, 17]
Generated Node #3: [7, 17] from Operation: 60-43=17
Current State: 24:[7, 17], Operations: ['41-34=7', '60-43=17']
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[41, 34, 60, 43], Operations: []
Exploring Operation: 60-43=17, Resulting Numbers: [41, 34, 17]
Generated Node #0,0: 24:[41, 34, 17] Operation: 60-43=17
Moving to Node #0,0
Current State: 24:[41, 34, 17], Operations: ['60-43=17']
Exploring Operation: 41-34=7, Resulting Numbers: [17, 7]
Generated Node #0,0,0: 24:[17, 7] Operation: 41-34=7
Moving to Node #0,0,0
Current State: 24:[17, 7], Operations: ['60-43=17', '41-34=7']
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[41, 34, 60, 43], Operations: []
Exploring Operation: 60-43=17, Resulting Numbers: [41, 34, 17]
Generated Node #0,0: 24:[41, 34, 17] Operation: 60-43=17
Moving to Node #0,0
Current State: 24:[41, 34, 17], Operations: ['60-43=17']
Exploring Operation: 41-34=7, Resulting Numbers: [17, 7]
Generated Node #0,0,0: 24:[17, 7] Operation: 41-34=7
Moving to Node #0,0,0
Current State: 24:[17, 7], Operations: ['60-43=17', '41-34=7']
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
3,
9,
32,
47
] | 45 | [
"9/3=3",
"47-32=15",
"3*15=45"
] | Current State: 45:[3, 9, 32, 47], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [32, 47, 3]
Generated Node #2: [32, 47, 3] from Operation: 9/3=3
Current State: 45:[32, 47, 3], Operations: ['9/3=3']
Exploring Operation: 47-32=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 47-32=15
Current State: 45:[3, 15], Operations: ['9/3=3', '47-32=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[3, 9, 32, 47], Operations: []
Exploring Operation: 9+32=41, Resulting Numbers: [3, 47, 41]
Generated Node #0,0: 45:[3, 47, 41] Operation: 9+32=41
Exploring Operation: 47-32=15, Resulting Numbers: [3, 9, 15]
Generated Node #0,1: 45:[3, 9, 15] Operation: 47-32=15
Exploring Operation: 32-9=23, Resulting Numbers: [3, 47, 23]
Generated Node #0,2: 45:[3, 47, 23] Operation: 32-9=23
Exploring Operation: 3+32=35, Resulting Numbers: [9, 47, 35]
Generated Node #0,3: 45:[9, 47, 35] Operation: 3+32=35
Moving to Node #0,1
Current State: 45:[3, 9, 15], Operations: ['47-32=15']
Exploring Operation: 9/3=3, Resulting Numbers: [15, 3]
Generated Node #0,1,0: 45:[15, 3] Operation: 9/3=3
Exploring Operation: 9-3=6, Resulting Numbers: [15, 6]
Generated Node #0,1,1: 45:[15, 6] Operation: 9-3=6
Exploring Operation: 15/3=5, Resulting Numbers: [9, 5]
Generated Node #0,1,2: 45:[9, 5] Operation: 15/3=5
Exploring Operation: 3*15=45, Resulting Numbers: [9, 45]
Generated Node #0,1,3: 45:[9, 45] Operation: 3*15=45
Moving to Node #0,0
Current State: 45:[3, 47, 41], Operations: ['9+32=41']
Exploring Operation: 47-3=44, Resulting Numbers: [41, 44]
Generated Node #0,0,0: 45:[41, 44] Operation: 47-3=44
Exploring Operation: 3+41=44, Resulting Numbers: [47, 44]
Generated Node #0,0,1: 45:[47, 44] Operation: 3+41=44
Exploring Operation: 47-41=6, Resulting Numbers: [3, 6]
Generated Node #0,0,2: 45:[3, 6] Operation: 47-41=6
Exploring Operation: 3+47=50, Resulting Numbers: [41, 50]
Generated Node #0,0,3: 45:[41, 50] Operation: 3+47=50
Moving to Node #0,2
Current State: 45:[3, 47, 23], Operations: ['32-9=23']
Exploring Operation: 23-3=20, Resulting Numbers: [47, 20]
Generated Node #0,2,0: 45:[47, 20] Operation: 23-3=20
Exploring Operation: 47-3=44, Resulting Numbers: [23, 44]
Generated Node #0,2,1: 45:[23, 44] Operation: 47-3=44
Exploring Operation: 3+47=50, Resulting Numbers: [23, 50]
Generated Node #0,2,2: 45:[23, 50] Operation: 3+47=50
Exploring Operation: 47-23=24, Resulting Numbers: [3, 24]
Generated Node #0,2,3: 45:[3, 24] Operation: 47-23=24
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 45:[47, 20], Operations: ['32-9=23', '23-3=20']
Exploring Operation: 47*20=940, Resulting Numbers: [940]
940,45 unequal: No Solution
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,45 unequal: No Solution
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 45:[23, 44], Operations: ['32-9=23', '47-3=44']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,45 unequal: No Solution
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 45:[3, 24], Operations: ['32-9=23', '47-23=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,45 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,45 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 45:[23, 50], Operations: ['32-9=23', '3+47=50']
Exploring Operation: 23+50=73, Resulting Numbers: [73]
73,45 unequal: No Solution
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,45 unequal: No Solution
Exploring Operation: 23*50=1150, Resulting Numbers: [1150]
1150,45 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: 45:[9, 47, 35], Operations: ['3+32=35']
Exploring Operation: 47-35=12, Resulting Numbers: [9, 12]
Generated Node #0,3,0: 45:[9, 12] Operation: 47-35=12
Exploring Operation: 35-9=26, Resulting Numbers: [47, 26]
Generated Node #0,3,1: 45:[47, 26] Operation: 35-9=26
Exploring Operation: 47-9=38, Resulting Numbers: [35, 38]
Generated Node #0,3,2: 45:[35, 38] Operation: 47-9=38
Exploring Operation: 9+35=44, Resulting Numbers: [47, 44]
Generated Node #0,3,3: 45:[47, 44] Operation: 9+35=44
Moving to Node #0,1,0
Current State: 45:[15, 3], Operations: ['47-32=15', '9/3=3']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,45 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,45 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[3, 9, 32, 47], Operations: []
Exploring Operation: 47-32=15, Resulting Numbers: [3, 9, 15]
Generated Node #0,1: 45:[3, 9, 15] Operation: 47-32=15
Moving to Node #0,1
Current State: 45:[3, 9, 15], Operations: ['47-32=15']
Exploring Operation: 9/3=3, Resulting Numbers: [15, 3]
Generated Node #0,1,0: 45:[15, 3] Operation: 9/3=3
Moving to Node #0,1,0
Current State: 45:[15, 3], Operations: ['47-32=15', '9/3=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 0.96441 | hs_4 | sum_heuristic |
[
62,
97,
93,
95
] | 66 | [
"95-93=2",
"62/2=31",
"97-31=66"
] | Current State: 66:[62, 97, 93, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [62, 97, 2]
Generated Node #2: [62, 97, 2] from Operation: 95-93=2
Current State: 66:[62, 97, 2], Operations: ['95-93=2']
Exploring Operation: 62/2=31, Resulting Numbers: [97, 31]
Generated Node #3: [97, 31] from Operation: 62/2=31
Current State: 66:[97, 31], Operations: ['95-93=2', '62/2=31']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[62, 97, 93, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [62, 93, 2]
Generated Node #0,0: 66:[62, 93, 2] Operation: 97-95=2
Exploring Operation: 97-62=35, Resulting Numbers: [93, 95, 35]
Generated Node #0,1: 66:[93, 95, 35] Operation: 97-62=35
Exploring Operation: 95-62=33, Resulting Numbers: [97, 93, 33]
Generated Node #0,2: 66:[97, 93, 33] Operation: 95-62=33
Exploring Operation: 95-93=2, Resulting Numbers: [62, 97, 2]
Generated Node #0,3: 66:[62, 97, 2] Operation: 95-93=2
Exploring Operation: 97-93=4, Resulting Numbers: [62, 95, 4]
Generated Node #0,4: 66:[62, 95, 4] Operation: 97-93=4
Moving to Node #0,0
Current State: 66:[62, 93, 2], Operations: ['97-95=2']
Exploring Operation: 62-2=60, Resulting Numbers: [93, 60]
Generated Node #0,0,0: 66:[93, 60] Operation: 62-2=60
Exploring Operation: 93-2=91, Resulting Numbers: [62, 91]
Generated Node #0,0,1: 66:[62, 91] Operation: 93-2=91
Exploring Operation: 62/2=31, Resulting Numbers: [93, 31]
Generated Node #0,0,2: 66:[93, 31] Operation: 62/2=31
Exploring Operation: 93-62=31, Resulting Numbers: [2, 31]
Generated Node #0,0,3: 66:[2, 31] Operation: 93-62=31
Exploring Operation: 62+2=64, Resulting Numbers: [93, 64]
Generated Node #0,0,4: 66:[93, 64] Operation: 62+2=64
Moving to Node #0,4
Current State: 66:[62, 95, 4], Operations: ['97-93=4']
Exploring Operation: 95+4=99, Resulting Numbers: [62, 99]
Generated Node #0,4,0: 66:[62, 99] Operation: 95+4=99
Exploring Operation: 62+4=66, Resulting Numbers: [95, 66]
Generated Node #0,4,1: 66:[95, 66] Operation: 62+4=66
Exploring Operation: 95-4=91, Resulting Numbers: [62, 91]
Generated Node #0,4,2: 66:[62, 91] Operation: 95-4=91
Exploring Operation: 62-4=58, Resulting Numbers: [95, 58]
Generated Node #0,4,3: 66:[95, 58] Operation: 62-4=58
Exploring Operation: 95-62=33, Resulting Numbers: [4, 33]
Generated Node #0,4,4: 66:[4, 33] Operation: 95-62=33
Moving to Node #0,3
Current State: 66:[62, 97, 2], Operations: ['95-93=2']
Exploring Operation: 62+2=64, Resulting Numbers: [97, 64]
Generated Node #0,3,0: 66:[97, 64] Operation: 62+2=64
Exploring Operation: 97-2=95, Resulting Numbers: [62, 95]
Generated Node #0,3,1: 66:[62, 95] Operation: 97-2=95
Exploring Operation: 62/2=31, Resulting Numbers: [97, 31]
Generated Node #0,3,2: 66:[97, 31] Operation: 62/2=31
Exploring Operation: 62-2=60, Resulting Numbers: [97, 60]
Generated Node #0,3,3: 66:[97, 60] Operation: 62-2=60
Exploring Operation: 97-62=35, Resulting Numbers: [2, 35]
Generated Node #0,3,4: 66:[2, 35] Operation: 97-62=35
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 66:[2, 35], Operations: ['95-93=2', '97-62=35']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,66 unequal: No Solution
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 66:[97, 64], Operations: ['95-93=2', '62+2=64']
Exploring Operation: 97+64=161, Resulting Numbers: [161]
161,66 unequal: No Solution
Exploring Operation: 97-64=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Exploring Operation: 97*64=6208, Resulting Numbers: [6208]
6208,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 66:[62, 95], Operations: ['95-93=2', '97-2=95']
Exploring Operation: 95-62=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Exploring Operation: 62+95=157, Resulting Numbers: [157]
157,66 unequal: No Solution
Exploring Operation: 62*95=5890, Resulting Numbers: [5890]
5890,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 66:[97, 31], Operations: ['95-93=2', '62/2=31']
Exploring Operation: 97*31=3007, Resulting Numbers: [3007]
3007,66 unequal: No Solution
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[62, 97, 93, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [62, 97, 2]
Generated Node #0,3: 66:[62, 97, 2] Operation: 95-93=2
Moving to Node #0,3
Current State: 66:[62, 97, 2], Operations: ['95-93=2']
Exploring Operation: 62/2=31, Resulting Numbers: [97, 31]
Generated Node #0,3,2: 66:[97, 31] Operation: 62/2=31
Moving to Node #0,3,2
Current State: 66:[97, 31], Operations: ['95-93=2', '62/2=31']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_5 | mult_heuristic |
[
14,
65,
48,
91
] | 38 | [
"14*65=910",
"910/91=10",
"48-10=38"
] | Current State: 38:[14, 65, 48, 91], Operations: []
Exploring Operation: 14*65=910, Resulting Numbers: [48, 91, 910]
Generated Node #2: [48, 91, 910] from Operation: 14*65=910
Current State: 38:[48, 91, 910], Operations: ['14*65=910']
Exploring Operation: 910/91=10, Resulting Numbers: [48, 10]
Generated Node #3: [48, 10] from Operation: 910/91=10
Current State: 38:[48, 10], Operations: ['14*65=910', '910/91=10']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[14, 65, 48, 91], Operations: []
Exploring Operation: 91-65=26, Resulting Numbers: [14, 48, 26]
Generated Node #0,0: 38:[14, 48, 26] Operation: 91-65=26
Exploring Operation: 91-48=43, Resulting Numbers: [14, 65, 43]
Generated Node #0,1: 38:[14, 65, 43] Operation: 91-48=43
Exploring Operation: 65-48=17, Resulting Numbers: [14, 91, 17]
Generated Node #0,2: 38:[14, 91, 17] Operation: 65-48=17
Exploring Operation: 65-14=51, Resulting Numbers: [48, 91, 51]
Generated Node #0,3: 38:[48, 91, 51] Operation: 65-14=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[14, 48, 26], Operations: ['91-65=26']
Exploring Operation: 48-14=34, Resulting Numbers: [26, 34]
Generated Node #0,0,0: 38:[26, 34] Operation: 48-14=34
Exploring Operation: 14+26=40, Resulting Numbers: [48, 40]
Generated Node #0,0,1: 38:[48, 40] Operation: 14+26=40
Exploring Operation: 48-26=22, Resulting Numbers: [14, 22]
Generated Node #0,0,2: 38:[14, 22] Operation: 48-26=22
Exploring Operation: 26-14=12, Resulting Numbers: [48, 12]
Generated Node #0,0,3: 38:[48, 12] Operation: 26-14=12
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 38:[14, 22], Operations: ['91-65=26', '48-26=22']
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,38 unequal: No Solution
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,38 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[26, 34], Operations: ['91-65=26', '48-14=34']
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 26*34=884, Resulting Numbers: [884]
884,38 unequal: No Solution
Exploring Operation: 26+34=60, Resulting Numbers: [60]
60,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 38:[48, 40], Operations: ['91-65=26', '14+26=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,38 unequal: No Solution
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 38:[48, 12], Operations: ['91-65=26', '26-14=12']
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,38 unequal: No Solution
Exploring Operation: 48*12=576, Resulting Numbers: [576]
576,38 unequal: No Solution
Exploring Operation: 48/12=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 48+12=60, Resulting Numbers: [60]
60,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[14, 65, 43], Operations: ['91-48=43']
Exploring Operation: 14+65=79, Resulting Numbers: [43, 79]
Generated Node #0,1,0: 38:[43, 79] Operation: 14+65=79
Exploring Operation: 65-14=51, Resulting Numbers: [43, 51]
Generated Node #0,1,1: 38:[43, 51] Operation: 65-14=51
Exploring Operation: 43-14=29, Resulting Numbers: [65, 29]
Generated Node #0,1,2: 38:[65, 29] Operation: 43-14=29
Exploring Operation: 65-43=22, Resulting Numbers: [14, 22]
Generated Node #0,1,3: 38:[14, 22] Operation: 65-43=22
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 38:[14, 22], Operations: ['91-48=43', '65-43=22']
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,38 unequal: No Solution
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,38 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[43, 51], Operations: ['91-48=43', '65-14=51']
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,38 unequal: No Solution
Exploring Operation: 51-43=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 43*51=2193, Resulting Numbers: [2193]
2193,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 38:[65, 29], Operations: ['91-48=43', '43-14=29']
Exploring Operation: 65*29=1885, Resulting Numbers: [1885]
1885,38 unequal: No Solution
Exploring Operation: 65+29=94, Resulting Numbers: [94]
94,38 unequal: No Solution
Exploring Operation: 65-29=36, Resulting Numbers: [36]
36,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[43, 79], Operations: ['91-48=43', '14+65=79']
Exploring Operation: 43+79=122, Resulting Numbers: [122]
122,38 unequal: No Solution
Exploring Operation: 79-43=36, Resulting Numbers: [36]
36,38 unequal: No Solution
Exploring Operation: 43*79=3397, Resulting Numbers: [3397]
3397,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[14, 91, 17], Operations: ['65-48=17']
Exploring Operation: 17-14=3, Resulting Numbers: [91, 3]
Generated Node #0,2,0: 38:[91, 3] Operation: 17-14=3
Exploring Operation: 91-14=77, Resulting Numbers: [17, 77]
Generated Node #0,2,1: 38:[17, 77] Operation: 91-14=77
Exploring Operation: 91-17=74, Resulting Numbers: [14, 74]
Generated Node #0,2,2: 38:[14, 74] Operation: 91-17=74
Exploring Operation: 14+17=31, Resulting Numbers: [91, 31]
Generated Node #0,2,3: 38:[91, 31] Operation: 14+17=31
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 38:[17, 77], Operations: ['65-48=17', '91-14=77']
Exploring Operation: 17*77=1309, Resulting Numbers: [1309]
1309,38 unequal: No Solution
Exploring Operation: 17+77=94, Resulting Numbers: [94]
94,38 unequal: No Solution
Exploring Operation: 77-17=60, Resulting Numbers: [60]
60,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 38:[14, 74], Operations: ['65-48=17', '91-17=74']
Exploring Operation: 14+74=88, Resulting Numbers: [88]
88,38 unequal: No Solution
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,38 unequal: No Solution
Exploring Operation: 14*74=1036, Resulting Numbers: [1036]
1036,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 38:[91, 3], Operations: ['65-48=17', '17-14=3']
Exploring Operation: 91*3=273, Resulting Numbers: [273]
273,38 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,38 unequal: No Solution
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 38:[91, 31], Operations: ['65-48=17', '14+17=31']
Exploring Operation: 91-31=60, Resulting Numbers: [60]
60,38 unequal: No Solution
Exploring Operation: 91*31=2821, Resulting Numbers: [2821]
2821,38 unequal: No Solution
Exploring Operation: 91+31=122, Resulting Numbers: [122]
122,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[48, 91, 51], Operations: ['65-14=51']
Exploring Operation: 91-51=40, Resulting Numbers: [48, 40]
Generated Node #0,3,0: 38:[48, 40] Operation: 91-51=40
Exploring Operation: 91-48=43, Resulting Numbers: [51, 43]
Generated Node #0,3,1: 38:[51, 43] Operation: 91-48=43
Exploring Operation: 48+91=139, Resulting Numbers: [51, 139]
Generated Node #0,3,2: 38:[51, 139] Operation: 48+91=139
Exploring Operation: 51-48=3, Resulting Numbers: [91, 3]
Generated Node #0,3,3: 38:[91, 3] Operation: 51-48=3
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 38:[48, 40], Operations: ['65-14=51', '91-51=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,38 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,38 unequal: No Solution
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 38:[51, 43], Operations: ['65-14=51', '91-48=43']
Exploring Operation: 51-43=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 51+43=94, Resulting Numbers: [94]
94,38 unequal: No Solution
Exploring Operation: 51*43=2193, Resulting Numbers: [2193]
2193,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 38:[91, 3], Operations: ['65-14=51', '51-48=3']
Exploring Operation: 91*3=273, Resulting Numbers: [273]
273,38 unequal: No Solution
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,38 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 38:[51, 139], Operations: ['65-14=51', '48+91=139']
Exploring Operation: 51*139=7089, Resulting Numbers: [7089]
7089,38 unequal: No Solution
Exploring Operation: 51+139=190, Resulting Numbers: [190]
190,38 unequal: No Solution
Exploring Operation: 139-51=88, Resulting Numbers: [88]
88,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
70,
80,
75,
14
] | 91 | [
"70/14=5",
"80/5=16",
"75+16=91"
] | Current State: 91:[70, 80, 75, 14], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [80, 75, 5]
Generated Node #2: [80, 75, 5] from Operation: 70/14=5
Current State: 91:[80, 75, 5], Operations: ['70/14=5']
Exploring Operation: 80/5=16, Resulting Numbers: [75, 16]
Generated Node #3: [75, 16] from Operation: 80/5=16
Current State: 91:[75, 16], Operations: ['70/14=5', '80/5=16']
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[70, 80, 75, 14], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [80, 14, 5]
Generated Node #0,0: 91:[80, 14, 5] Operation: 75-70=5
Exploring Operation: 80-70=10, Resulting Numbers: [75, 14, 10]
Generated Node #0,1: 91:[75, 14, 10] Operation: 80-70=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[80, 14, 5], Operations: ['75-70=5']
Exploring Operation: 80/5=16, Resulting Numbers: [14, 16]
Generated Node #0,0,0: 91:[14, 16] Operation: 80/5=16
Exploring Operation: 80+14=94, Resulting Numbers: [5, 94]
Generated Node #0,0,1: 91:[5, 94] Operation: 80+14=94
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[14, 16], Operations: ['75-70=5', '80/5=16']
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[5, 94], Operations: ['75-70=5', '80+14=94']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 5+94=99, Resulting Numbers: [99]
99,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[75, 14, 10], Operations: ['80-70=10']
Exploring Operation: 75+10=85, Resulting Numbers: [14, 85]
Generated Node #0,1,0: 91:[14, 85] Operation: 75+10=85
Exploring Operation: 75+14=89, Resulting Numbers: [10, 89]
Generated Node #0,1,1: 91:[10, 89] Operation: 75+14=89
Moving to Node #0,1,1
Current State: 91:[10, 89], Operations: ['80-70=10', '75+14=89']
Exploring Operation: 10+89=99, Resulting Numbers: [99]
99,91 unequal: No Solution
Exploring Operation: 89-10=79, Resulting Numbers: [79]
79,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[14, 85], Operations: ['80-70=10', '75+10=85']
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,91 unequal: No Solution
Exploring Operation: 14+85=99, Resulting Numbers: [99]
99,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
67,
34,
53,
69
] | 70 | [
"69-67=2",
"34/2=17",
"53+17=70"
] | Current State: 70:[67, 34, 53, 69], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [34, 53, 2]
Generated Node #2: [34, 53, 2] from Operation: 69-67=2
Current State: 70:[34, 53, 2], Operations: ['69-67=2']
Exploring Operation: 34/2=17, Resulting Numbers: [53, 17]
Generated Node #3: [53, 17] from Operation: 34/2=17
Current State: 70:[53, 17], Operations: ['69-67=2', '34/2=17']
Exploring Operation: 53+17=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[67, 34, 53, 69], Operations: []
Exploring Operation: 69-53=16, Resulting Numbers: [67, 34, 16]
Generated Node #0,0: 70:[67, 34, 16] Operation: 69-53=16
Exploring Operation: 67-53=14, Resulting Numbers: [34, 69, 14]
Generated Node #0,1: 70:[34, 69, 14] Operation: 67-53=14
Moving to Node #0,1
Current State: 70:[34, 69, 14], Operations: ['67-53=14']
Exploring Operation: 34-14=20, Resulting Numbers: [69, 20]
Generated Node #0,1,0: 70:[69, 20] Operation: 34-14=20
Exploring Operation: 69-34=35, Resulting Numbers: [14, 35]
Generated Node #0,1,1: 70:[14, 35] Operation: 69-34=35
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 70:[14, 35], Operations: ['67-53=14', '69-34=35']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 70:[69, 20], Operations: ['67-53=14', '34-14=20']
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,70 unequal: No Solution
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 70:[67, 34, 16], Operations: ['69-53=16']
Exploring Operation: 34-16=18, Resulting Numbers: [67, 18]
Generated Node #0,0,0: 70:[67, 18] Operation: 34-16=18
Exploring Operation: 67-34=33, Resulting Numbers: [16, 33]
Generated Node #0,0,1: 70:[16, 33] Operation: 67-34=33
Moving to Node #0,0,1
Current State: 70:[16, 33], Operations: ['69-53=16', '67-34=33']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,70 unequal: No Solution
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[67, 18], Operations: ['69-53=16', '34-16=18']
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,70 unequal: No Solution
Exploring Operation: 67+18=85, Resulting Numbers: [85]
85,70 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
38,
51,
69,
90
] | 34 | [
"51-38=13",
"90-69=21",
"13+21=34"
] | Current State: 34:[38, 51, 69, 90], Operations: []
Exploring Operation: 51-38=13, Resulting Numbers: [69, 90, 13]
Generated Node #2: [69, 90, 13] from Operation: 51-38=13
Current State: 34:[69, 90, 13], Operations: ['51-38=13']
Exploring Operation: 90-69=21, Resulting Numbers: [13, 21]
Generated Node #3: [13, 21] from Operation: 90-69=21
Current State: 34:[13, 21], Operations: ['51-38=13', '90-69=21']
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[38, 51, 69, 90], Operations: []
Exploring Operation: 90-69=21, Resulting Numbers: [38, 51, 21]
Generated Node #0,0: 34:[38, 51, 21] Operation: 90-69=21
Exploring Operation: 69-51=18, Resulting Numbers: [38, 90, 18]
Generated Node #0,1: 34:[38, 90, 18] Operation: 69-51=18
Exploring Operation: 69-38=31, Resulting Numbers: [51, 90, 31]
Generated Node #0,2: 34:[51, 90, 31] Operation: 69-38=31
Exploring Operation: 90-38=52, Resulting Numbers: [51, 69, 52]
Generated Node #0,3: 34:[51, 69, 52] Operation: 90-38=52
Exploring Operation: 90-51=39, Resulting Numbers: [38, 69, 39]
Generated Node #0,4: 34:[38, 69, 39] Operation: 90-51=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[38, 51, 21], Operations: ['90-69=21']
Exploring Operation: 51-38=13, Resulting Numbers: [21, 13]
Generated Node #0,0,0: 34:[21, 13] Operation: 51-38=13
Exploring Operation: 38+21=59, Resulting Numbers: [51, 59]
Generated Node #0,0,1: 34:[51, 59] Operation: 38+21=59
Exploring Operation: 51-21=30, Resulting Numbers: [38, 30]
Generated Node #0,0,2: 34:[38, 30] Operation: 51-21=30
Exploring Operation: 51+21=72, Resulting Numbers: [38, 72]
Generated Node #0,0,3: 34:[38, 72] Operation: 51+21=72
Exploring Operation: 38-21=17, Resulting Numbers: [51, 17]
Generated Node #0,0,4: 34:[51, 17] Operation: 38-21=17
Moving to Node #0,0,0
Current State: 34:[21, 13], Operations: ['90-69=21', '51-38=13']
Exploring Operation: 21*13=273, Resulting Numbers: [273]
273,34 unequal: No Solution
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[38, 51, 69, 90], Operations: []
Exploring Operation: 90-69=21, Resulting Numbers: [38, 51, 21]
Generated Node #0,0: 34:[38, 51, 21] Operation: 90-69=21
Moving to Node #0,0
Current State: 34:[38, 51, 21], Operations: ['90-69=21']
Exploring Operation: 51-38=13, Resulting Numbers: [21, 13]
Generated Node #0,0,0: 34:[21, 13] Operation: 51-38=13
Moving to Node #0,0,0
Current State: 34:[21, 13], Operations: ['90-69=21', '51-38=13']
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
19,
60,
58,
22
] | 63 | [
"60-58=2",
"22*2=44",
"19+44=63"
] | Current State: 63:[19, 60, 58, 22], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [19, 22, 2]
Generated Node #2: [19, 22, 2] from Operation: 60-58=2
Current State: 63:[19, 22, 2], Operations: ['60-58=2']
Exploring Operation: 22*2=44, Resulting Numbers: [19, 44]
Generated Node #3: [19, 44] from Operation: 22*2=44
Current State: 63:[19, 44], Operations: ['60-58=2', '22*2=44']
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[19, 60, 58, 22], Operations: []
Exploring Operation: 19+58=77, Resulting Numbers: [60, 22, 77]
Generated Node #0,0: 63:[60, 22, 77] Operation: 19+58=77
Exploring Operation: 60-58=2, Resulting Numbers: [19, 22, 2]
Generated Node #0,1: 63:[19, 22, 2] Operation: 60-58=2
Exploring Operation: 22-19=3, Resulting Numbers: [60, 58, 3]
Generated Node #0,2: 63:[60, 58, 3] Operation: 22-19=3
Moving to Node #0,1
Current State: 63:[19, 22, 2], Operations: ['60-58=2']
Exploring Operation: 19+2=21, Resulting Numbers: [22, 21]
Generated Node #0,1,0: 63:[22, 21] Operation: 19+2=21
Exploring Operation: 22-2=20, Resulting Numbers: [19, 20]
Generated Node #0,1,1: 63:[19, 20] Operation: 22-2=20
Exploring Operation: 22-19=3, Resulting Numbers: [2, 3]
Generated Node #0,1,2: 63:[2, 3] Operation: 22-19=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[22, 21], Operations: ['60-58=2', '19+2=21']
Exploring Operation: 22*21=462, Resulting Numbers: [462]
462,63 unequal: No Solution
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,63 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 63:[2, 3], Operations: ['60-58=2', '22-19=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,63 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[19, 20], Operations: ['60-58=2', '22-2=20']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,63 unequal: No Solution
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 63:[60, 58, 3], Operations: ['22-19=3']
Exploring Operation: 58+3=61, Resulting Numbers: [60, 61]
Generated Node #0,2,0: 63:[60, 61] Operation: 58+3=61
Exploring Operation: 60-58=2, Resulting Numbers: [3, 2]
Generated Node #0,2,1: 63:[3, 2] Operation: 60-58=2
Exploring Operation: 60+3=63, Resulting Numbers: [58, 63]
Generated Node #0,2,2: 63:[58, 63] Operation: 60+3=63
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 63:[3, 2], Operations: ['22-19=3', '60-58=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,63 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 63:[60, 61], Operations: ['22-19=3', '58+3=61']
Exploring Operation: 60*61=3660, Resulting Numbers: [3660]
3660,63 unequal: No Solution
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 60+61=121, Resulting Numbers: [121]
121,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 63:[58, 63], Operations: ['22-19=3', '60+3=63']
Exploring Operation: 58+63=121, Resulting Numbers: [121]
121,63 unequal: No Solution
Exploring Operation: 63-58=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 58*63=3654, Resulting Numbers: [3654]
3654,63 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: 63:[60, 22, 77], Operations: ['19+58=77']
Exploring Operation: 60-22=38, Resulting Numbers: [77, 38]
Generated Node #0,0,0: 63:[77, 38] Operation: 60-22=38
Exploring Operation: 77-22=55, Resulting Numbers: [60, 55]
Generated Node #0,0,1: 63:[60, 55] Operation: 77-22=55
Exploring Operation: 77-60=17, Resulting Numbers: [22, 17]
Generated Node #0,0,2: 63:[22, 17] Operation: 77-60=17
Moving to Node #0,0,2
Current State: 63:[22, 17], Operations: ['19+58=77', '77-60=17']
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Exploring Operation: 22*17=374, Resulting Numbers: [374]
374,63 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[60, 55], Operations: ['19+58=77', '77-22=55']
Exploring Operation: 60+55=115, Resulting Numbers: [115]
115,63 unequal: No Solution
Exploring Operation: 60*55=3300, Resulting Numbers: [3300]
3300,63 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[77, 38], Operations: ['19+58=77', '60-22=38']
Exploring Operation: 77*38=2926, Resulting Numbers: [2926]
2926,63 unequal: No Solution
Exploring Operation: 77+38=115, Resulting Numbers: [115]
115,63 unequal: No Solution
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,63 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
53,
52,
3,
53
] | 26 | [
"53/53=1",
"3-1=2",
"52/2=26"
] | Current State: 26:[53, 52, 3, 53], Operations: []
Exploring Operation: 53/53=1, Resulting Numbers: [52, 3, 1]
Generated Node #2: [52, 3, 1] from Operation: 53/53=1
Current State: 26:[52, 3, 1], Operations: ['53/53=1']
Exploring Operation: 3-1=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 3-1=2
Current State: 26:[52, 2], Operations: ['53/53=1', '3-1=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[53, 52, 3, 53], Operations: []
Exploring Operation: 53/53=1, Resulting Numbers: [52, 3, 1]
Generated Node #0,0: 26:[52, 3, 1] Operation: 53/53=1
Moving to Node #0,0
Current State: 26:[52, 3, 1], Operations: ['53/53=1']
Exploring Operation: 52-3=49, Resulting Numbers: [1, 49]
Generated Node #0,0,0: 26:[1, 49] Operation: 52-3=49
Moving to Node #0,0,0
Current State: 26:[1, 49], Operations: ['53/53=1', '52-3=49']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,26 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
23,
50,
44,
38
] | 94 | [
"50*44=2200",
"2200-38=2162",
"2162/23=94"
] | Current State: 94:[23, 50, 44, 38], Operations: []
Exploring Operation: 50*44=2200, Resulting Numbers: [23, 38, 2200]
Generated Node #2: [23, 38, 2200] from Operation: 50*44=2200
Current State: 94:[23, 38, 2200], Operations: ['50*44=2200']
Exploring Operation: 2200-38=2162, Resulting Numbers: [23, 2162]
Generated Node #3: [23, 2162] from Operation: 2200-38=2162
Current State: 94:[23, 2162], Operations: ['50*44=2200', '2200-38=2162']
Exploring Operation: 2162/23=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[23, 50, 44, 38], Operations: []
Exploring Operation: 38-23=15, Resulting Numbers: [50, 44, 15]
Generated Node #0,0: 94:[50, 44, 15] Operation: 38-23=15
Exploring Operation: 23+38=61, Resulting Numbers: [50, 44, 61]
Generated Node #0,1: 94:[50, 44, 61] Operation: 23+38=61
Moving to Node #0,0
Current State: 94:[50, 44, 15], Operations: ['38-23=15']
Exploring Operation: 50+44=94, Resulting Numbers: [15, 94]
Generated Node #0,0,0: 94:[15, 94] Operation: 50+44=94
Exploring Operation: 50-15=35, Resulting Numbers: [44, 35]
Generated Node #0,0,1: 94:[44, 35] Operation: 50-15=35
Moving to Node #0,1
Current State: 94:[50, 44, 61], Operations: ['23+38=61']
Exploring Operation: 50+44=94, Resulting Numbers: [61, 94]
Generated Node #0,1,0: 94:[61, 94] Operation: 50+44=94
Exploring Operation: 61-50=11, Resulting Numbers: [44, 11]
Generated Node #0,1,1: 94:[44, 11] Operation: 61-50=11
Moving to Node #0,1,1
Current State: 94:[44, 11], Operations: ['23+38=61', '61-50=11']
Exploring Operation: 44+11=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 44/11=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Moving to Node #0,0,0
Current State: 94:[15, 94], Operations: ['38-23=15', '50+44=94']
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,94 unequal: No Solution
Exploring Operation: 15+94=109, Resulting Numbers: [109]
109,94 unequal: No Solution
Moving to Node #0,1,0
Current State: 94:[61, 94], Operations: ['23+38=61', '50+44=94']
Exploring Operation: 94-61=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 61+94=155, Resulting Numbers: [155]
155,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[44, 35], Operations: ['38-23=15', '50-15=35']
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,94 unequal: No Solution
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,94 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
59,
3,
63,
40
] | 28 | [
"63-59=4",
"3*4=12",
"40-12=28"
] | Current State: 28:[59, 3, 63, 40], Operations: []
Exploring Operation: 63-59=4, Resulting Numbers: [3, 40, 4]
Generated Node #2: [3, 40, 4] from Operation: 63-59=4
Current State: 28:[3, 40, 4], Operations: ['63-59=4']
Exploring Operation: 3*4=12, Resulting Numbers: [40, 12]
Generated Node #3: [40, 12] from Operation: 3*4=12
Current State: 28:[40, 12], Operations: ['63-59=4', '3*4=12']
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[59, 3, 63, 40], Operations: []
Exploring Operation: 63-59=4, Resulting Numbers: [3, 40, 4]
Generated Node #0,0: 28:[3, 40, 4] Operation: 63-59=4
Exploring Operation: 59-40=19, Resulting Numbers: [3, 63, 19]
Generated Node #0,1: 28:[3, 63, 19] Operation: 59-40=19
Exploring Operation: 63-40=23, Resulting Numbers: [59, 3, 23]
Generated Node #0,2: 28:[59, 3, 23] Operation: 63-40=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[3, 40, 4], Operations: ['63-59=4']
Exploring Operation: 40-4=36, Resulting Numbers: [3, 36]
Generated Node #0,0,0: 28:[3, 36] Operation: 40-4=36
Exploring Operation: 40/4=10, Resulting Numbers: [3, 10]
Generated Node #0,0,1: 28:[3, 10] Operation: 40/4=10
Exploring Operation: 40-3=37, Resulting Numbers: [4, 37]
Generated Node #0,0,2: 28:[4, 37] Operation: 40-3=37
Moving to Node #0,0,1
Current State: 28:[3, 10], Operations: ['63-59=4', '40/4=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,28 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[3, 36], Operations: ['63-59=4', '40-4=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,28 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Moving to Node #0,0,2
Current State: 28:[4, 37], Operations: ['63-59=4', '40-3=37']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,28 unequal: No Solution
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,28 unequal: No Solution
Exploring Operation: 4*37=148, Resulting Numbers: [148]
148,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[59, 3, 23], Operations: ['63-40=23']
Exploring Operation: 3+23=26, Resulting Numbers: [59, 26]
Generated Node #0,2,0: 28:[59, 26] Operation: 3+23=26
Exploring Operation: 59-3=56, Resulting Numbers: [23, 56]
Generated Node #0,2,1: 28:[23, 56] Operation: 59-3=56
Exploring Operation: 59-23=36, Resulting Numbers: [3, 36]
Generated Node #0,2,2: 28:[3, 36] Operation: 59-23=36
Moving to Node #0,2,2
Current State: 28:[3, 36], Operations: ['63-40=23', '59-23=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,28 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Moving to Node #0,2,0
Current State: 28:[59, 26], Operations: ['63-40=23', '3+23=26']
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,28 unequal: No Solution
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,28 unequal: No Solution
Exploring Operation: 59*26=1534, Resulting Numbers: [1534]
1534,28 unequal: No Solution
Moving to Node #0,2,1
Current State: 28:[23, 56], Operations: ['63-40=23', '59-3=56']
Exploring Operation: 56-23=33, Resulting Numbers: [33]
33,28 unequal: No Solution
Exploring Operation: 23*56=1288, Resulting Numbers: [1288]
1288,28 unequal: No Solution
Exploring Operation: 23+56=79, Resulting Numbers: [79]
79,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[3, 63, 19], Operations: ['59-40=19']
Exploring Operation: 63-19=44, Resulting Numbers: [3, 44]
Generated Node #0,1,0: 28:[3, 44] Operation: 63-19=44
Exploring Operation: 63/3=21, Resulting Numbers: [19, 21]
Generated Node #0,1,1: 28:[19, 21] Operation: 63/3=21
Exploring Operation: 63-3=60, Resulting Numbers: [19, 60]
Generated Node #0,1,2: 28:[19, 60] Operation: 63-3=60
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[19, 21], Operations: ['59-40=19', '63/3=21']
Exploring Operation: 19*21=399, Resulting Numbers: [399]
399,28 unequal: No Solution
Exploring Operation: 19+21=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[3, 44], Operations: ['59-40=19', '63-19=44']
Exploring Operation: 3*44=132, Resulting Numbers: [132]
132,28 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,28 unequal: No Solution
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 28:[19, 60], Operations: ['59-40=19', '63-3=60']
Exploring Operation: 19*60=1140, Resulting Numbers: [1140]
1140,28 unequal: No Solution
Exploring Operation: 19+60=79, Resulting Numbers: [79]
79,28 unequal: No Solution
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
86,
44,
30,
2
] | 95 | [
"86+44=130",
"130/2=65",
"30+65=95"
] | Current State: 95:[86, 44, 30, 2], Operations: []
Exploring Operation: 86+44=130, Resulting Numbers: [30, 2, 130]
Generated Node #2: [30, 2, 130] from Operation: 86+44=130
Current State: 95:[30, 2, 130], Operations: ['86+44=130']
Exploring Operation: 130/2=65, Resulting Numbers: [30, 65]
Generated Node #3: [30, 65] from Operation: 130/2=65
Current State: 95:[30, 65], Operations: ['86+44=130', '130/2=65']
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[86, 44, 30, 2], Operations: []
Exploring Operation: 44-30=14, Resulting Numbers: [86, 2, 14]
Generated Node #0,0: 95:[86, 2, 14] Operation: 44-30=14
Moving to Node #0,0
Current State: 95:[86, 2, 14], Operations: ['44-30=14']
Exploring Operation: 86+14=100, Resulting Numbers: [2, 100]
Generated Node #0,0,0: 95:[2, 100] Operation: 86+14=100
Moving to Node #0,0,0
Current State: 95:[2, 100], Operations: ['44-30=14', '86+14=100']
Exploring Operation: 100-2=98, Resulting Numbers: [98]
98,95 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
2,
49,
46,
17
] | 39 | [
"49+46=95",
"95-17=78",
"78/2=39"
] | Current State: 39:[2, 49, 46, 17], Operations: []
Exploring Operation: 49+46=95, Resulting Numbers: [2, 17, 95]
Generated Node #2: [2, 17, 95] from Operation: 49+46=95
Current State: 39:[2, 17, 95], Operations: ['49+46=95']
Exploring Operation: 95-17=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 95-17=78
Current State: 39:[2, 78], Operations: ['49+46=95', '95-17=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[2, 49, 46, 17], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [2, 17, 3]
Generated Node #0,0: 39:[2, 17, 3] Operation: 49-46=3
Moving to Node #0,0
Current State: 39:[2, 17, 3], Operations: ['49-46=3']
Exploring Operation: 17-2=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 39:[3, 15] Operation: 17-2=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[3, 15], Operations: ['49-46=3', '17-2=15']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
5,
78,
39,
50
] | 29 | [
"50/5=10",
"78-39=39",
"39-10=29"
] | Current State: 29:[5, 78, 39, 50], Operations: []
Exploring Operation: 50/5=10, Resulting Numbers: [78, 39, 10]
Generated Node #2: [78, 39, 10] from Operation: 50/5=10
Current State: 29:[78, 39, 10], Operations: ['50/5=10']
Exploring Operation: 78-39=39, Resulting Numbers: [10, 39]
Generated Node #3: [10, 39] from Operation: 78-39=39
Current State: 29:[10, 39], Operations: ['50/5=10', '78-39=39']
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[5, 78, 39, 50], Operations: []
Exploring Operation: 78-50=28, Resulting Numbers: [5, 39, 28]
Generated Node #0,0: 29:[5, 39, 28] Operation: 78-50=28
Exploring Operation: 78/39=2, Resulting Numbers: [5, 50, 2]
Generated Node #0,1: 29:[5, 50, 2] Operation: 78/39=2
Exploring Operation: 78-39=39, Resulting Numbers: [5, 50, 39]
Generated Node #0,2: 29:[5, 50, 39] Operation: 78-39=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[5, 39, 28], Operations: ['78-50=28']
Exploring Operation: 5+28=33, Resulting Numbers: [39, 33]
Generated Node #0,0,0: 29:[39, 33] Operation: 5+28=33
Exploring Operation: 5+39=44, Resulting Numbers: [28, 44]
Generated Node #0,0,1: 29:[28, 44] Operation: 5+39=44
Exploring Operation: 39-5=34, Resulting Numbers: [28, 34]
Generated Node #0,0,2: 29:[28, 34] Operation: 39-5=34
Moving to Node #0,0,2
Current State: 29:[28, 34], Operations: ['78-50=28', '39-5=34']
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 28*34=952, Resulting Numbers: [952]
952,29 unequal: No Solution
Exploring Operation: 28+34=62, Resulting Numbers: [62]
62,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[39, 33], Operations: ['78-50=28', '5+28=33']
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 39*33=1287, Resulting Numbers: [1287]
1287,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[28, 44], Operations: ['78-50=28', '5+39=44']
Exploring Operation: 28*44=1232, Resulting Numbers: [1232]
1232,29 unequal: No Solution
Exploring Operation: 28+44=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[5, 50, 39], Operations: ['78-39=39']
Exploring Operation: 39-5=34, Resulting Numbers: [50, 34]
Generated Node #0,2,0: 29:[50, 34] Operation: 39-5=34
Exploring Operation: 50-5=45, Resulting Numbers: [39, 45]
Generated Node #0,2,1: 29:[39, 45] Operation: 50-5=45
Exploring Operation: 50/5=10, Resulting Numbers: [39, 10]
Generated Node #0,2,2: 29:[39, 10] Operation: 50/5=10
Moving to Node #0,2,0
Current State: 29:[50, 34], Operations: ['78-39=39', '39-5=34']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,29 unequal: No Solution
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 50*34=1700, Resulting Numbers: [1700]
1700,29 unequal: No Solution
Moving to Node #0,2,1
Current State: 29:[39, 45], Operations: ['78-39=39', '50-5=45']
Exploring Operation: 39+45=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 39*45=1755, Resulting Numbers: [1755]
1755,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[39, 10], Operations: ['78-39=39', '50/5=10']
Exploring Operation: 39+10=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Exploring Operation: 39*10=390, Resulting Numbers: [390]
390,29 unequal: No Solution
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[5, 78, 39, 50], Operations: []
Exploring Operation: 78-39=39, Resulting Numbers: [5, 50, 39]
Generated Node #0,2: 29:[5, 50, 39] Operation: 78-39=39
Moving to Node #0,2
Current State: 29:[5, 50, 39], Operations: ['78-39=39']
Exploring Operation: 50/5=10, Resulting Numbers: [39, 10]
Generated Node #0,2,2: 29:[39, 10] Operation: 50/5=10
Moving to Node #0,2,2
Current State: 29:[39, 10], Operations: ['78-39=39', '50/5=10']
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_3 | sum_heuristic |
[
83,
49,
3,
13
] | 81 | [
"83+13=96",
"96/3=32",
"49+32=81"
] | Current State: 81:[83, 49, 3, 13], Operations: []
Exploring Operation: 83+13=96, Resulting Numbers: [49, 3, 96]
Generated Node #2: [49, 3, 96] from Operation: 83+13=96
Current State: 81:[49, 3, 96], Operations: ['83+13=96']
Exploring Operation: 96/3=32, Resulting Numbers: [49, 32]
Generated Node #3: [49, 32] from Operation: 96/3=32
Current State: 81:[49, 32], Operations: ['83+13=96', '96/3=32']
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[83, 49, 3, 13], Operations: []
Exploring Operation: 13-3=10, Resulting Numbers: [83, 49, 10]
Generated Node #0,0: 81:[83, 49, 10] Operation: 13-3=10
Exploring Operation: 83-49=34, Resulting Numbers: [3, 13, 34]
Generated Node #0,1: 81:[3, 13, 34] Operation: 83-49=34
Exploring Operation: 49+13=62, Resulting Numbers: [83, 3, 62]
Generated Node #0,2: 81:[83, 3, 62] Operation: 49+13=62
Exploring Operation: 49-3=46, Resulting Numbers: [83, 13, 46]
Generated Node #0,3: 81:[83, 13, 46] Operation: 49-3=46
Exploring Operation: 49-13=36, Resulting Numbers: [83, 3, 36]
Generated Node #0,4: 81:[83, 3, 36] Operation: 49-13=36
Moving to Node #0,1
Current State: 81:[3, 13, 34], Operations: ['83-49=34']
Exploring Operation: 34-3=31, Resulting Numbers: [13, 31]
Generated Node #0,1,0: 81:[13, 31] Operation: 34-3=31
Exploring Operation: 3+34=37, Resulting Numbers: [13, 37]
Generated Node #0,1,1: 81:[13, 37] Operation: 3+34=37
Exploring Operation: 13-3=10, Resulting Numbers: [34, 10]
Generated Node #0,1,2: 81:[34, 10] Operation: 13-3=10
Exploring Operation: 3+13=16, Resulting Numbers: [34, 16]
Generated Node #0,1,3: 81:[34, 16] Operation: 3+13=16
Exploring Operation: 34-13=21, Resulting Numbers: [3, 21]
Generated Node #0,1,4: 81:[3, 21] Operation: 34-13=21
Moving to Node #0,4
Current State: 81:[83, 3, 36], Operations: ['49-13=36']
Exploring Operation: 36-3=33, Resulting Numbers: [83, 33]
Generated Node #0,4,0: 81:[83, 33] Operation: 36-3=33
Exploring Operation: 83-3=80, Resulting Numbers: [36, 80]
Generated Node #0,4,1: 81:[36, 80] Operation: 83-3=80
Exploring Operation: 83+3=86, Resulting Numbers: [36, 86]
Generated Node #0,4,2: 81:[36, 86] Operation: 83+3=86
Exploring Operation: 36/3=12, Resulting Numbers: [83, 12]
Generated Node #0,4,3: 81:[83, 12] Operation: 36/3=12
Exploring Operation: 3+36=39, Resulting Numbers: [83, 39]
Generated Node #0,4,4: 81:[83, 39] Operation: 3+36=39
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 81:[83, 12], Operations: ['49-13=36', '36/3=12']
Exploring Operation: 83*12=996, Resulting Numbers: [996]
996,81 unequal: No Solution
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,81 unequal: No Solution
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 81:[83, 33], Operations: ['49-13=36', '36-3=33']
Exploring Operation: 83+33=116, Resulting Numbers: [116]
116,81 unequal: No Solution
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,81 unequal: No Solution
Exploring Operation: 83*33=2739, Resulting Numbers: [2739]
2739,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 81:[36, 80], Operations: ['49-13=36', '83-3=80']
Exploring Operation: 36+80=116, Resulting Numbers: [116]
116,81 unequal: No Solution
Exploring Operation: 36*80=2880, Resulting Numbers: [2880]
2880,81 unequal: No Solution
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 81:[36, 86], Operations: ['49-13=36', '83+3=86']
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,81 unequal: No Solution
Exploring Operation: 36*86=3096, Resulting Numbers: [3096]
3096,81 unequal: No Solution
Exploring Operation: 36+86=122, Resulting Numbers: [122]
122,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 81:[83, 39], Operations: ['49-13=36', '3+36=39']
Exploring Operation: 83+39=122, Resulting Numbers: [122]
122,81 unequal: No Solution
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 83*39=3237, Resulting Numbers: [3237]
3237,81 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: 81:[83, 3, 62], Operations: ['49+13=62']
Exploring Operation: 83+3=86, Resulting Numbers: [62, 86]
Generated Node #0,2,0: 81:[62, 86] Operation: 83+3=86
Exploring Operation: 62-3=59, Resulting Numbers: [83, 59]
Generated Node #0,2,1: 81:[83, 59] Operation: 62-3=59
Exploring Operation: 83-3=80, Resulting Numbers: [62, 80]
Generated Node #0,2,2: 81:[62, 80] Operation: 83-3=80
Exploring Operation: 83-62=21, Resulting Numbers: [3, 21]
Generated Node #0,2,3: 81:[3, 21] Operation: 83-62=21
Exploring Operation: 3+62=65, Resulting Numbers: [83, 65]
Generated Node #0,2,4: 81:[83, 65] Operation: 3+62=65
Moving to Node #0,0
Current State: 81:[83, 49, 10], Operations: ['13-3=10']
Exploring Operation: 83-10=73, Resulting Numbers: [49, 73]
Generated Node #0,0,0: 81:[49, 73] Operation: 83-10=73
Exploring Operation: 49-10=39, Resulting Numbers: [83, 39]
Generated Node #0,0,1: 81:[83, 39] Operation: 49-10=39
Exploring Operation: 83-49=34, Resulting Numbers: [10, 34]
Generated Node #0,0,2: 81:[10, 34] Operation: 83-49=34
Exploring Operation: 83+10=93, Resulting Numbers: [49, 93]
Generated Node #0,0,3: 81:[49, 93] Operation: 83+10=93
Exploring Operation: 49+10=59, Resulting Numbers: [83, 59]
Generated Node #0,0,4: 81:[83, 59] Operation: 49+10=59
Moving to Node #0,3
Current State: 81:[83, 13, 46], Operations: ['49-3=46']
Exploring Operation: 83+13=96, Resulting Numbers: [46, 96]
Generated Node #0,3,0: 81:[46, 96] Operation: 83+13=96
Exploring Operation: 46-13=33, Resulting Numbers: [83, 33]
Generated Node #0,3,1: 81:[83, 33] Operation: 46-13=33
Exploring Operation: 83-46=37, Resulting Numbers: [13, 37]
Generated Node #0,3,2: 81:[13, 37] Operation: 83-46=37
Exploring Operation: 13+46=59, Resulting Numbers: [83, 59]
Generated Node #0,3,3: 81:[83, 59] Operation: 13+46=59
Exploring Operation: 83-13=70, Resulting Numbers: [46, 70]
Generated Node #0,3,4: 81:[46, 70] Operation: 83-13=70
Moving to Node #0,1,4
Current State: 81:[3, 21], Operations: ['83-49=34', '34-13=21']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,81 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,81 unequal: No Solution
Moving to Node #0,2,3
Current State: 81:[3, 21], Operations: ['49+13=62', '83-62=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,81 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,81 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Moving to Node #0,1,2
Current State: 81:[34, 10], Operations: ['83-49=34', '13-3=10']
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 34*10=340, Resulting Numbers: [340]
340,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[13, 31], Operations: ['83-49=34', '34-3=31']
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 13*31=403, Resulting Numbers: [403]
403,81 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,81 unequal: No Solution
Moving to Node #0,0,2
Current State: 81:[10, 34], Operations: ['13-3=10', '83-49=34']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 10*34=340, Resulting Numbers: [340]
340,81 unequal: No Solution
Moving to Node #0,3,1
Current State: 81:[83, 33], Operations: ['49-3=46', '46-13=33']
Exploring Operation: 83*33=2739, Resulting Numbers: [2739]
2739,81 unequal: No Solution
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,81 unequal: No Solution
Exploring Operation: 83+33=116, Resulting Numbers: [116]
116,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[83, 39], Operations: ['13-3=10', '49-10=39']
Exploring Operation: 83*39=3237, Resulting Numbers: [3237]
3237,81 unequal: No Solution
Exploring Operation: 83+39=122, Resulting Numbers: [122]
122,81 unequal: No Solution
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Moving to Node #0,1,3
Current State: 81:[34, 16], Operations: ['83-49=34', '3+13=16']
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,81 unequal: No Solution
Exploring Operation: 34*16=544, Resulting Numbers: [544]
544,81 unequal: No Solution
Exploring Operation: 34+16=50, Resulting Numbers: [50]
50,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[13, 37], Operations: ['83-49=34', '3+34=37']
Exploring Operation: 13*37=481, Resulting Numbers: [481]
481,81 unequal: No Solution
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,81 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Moving to Node #0,3,2
Current State: 81:[13, 37], Operations: ['49-3=46', '83-46=37']
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,81 unequal: No Solution
Exploring Operation: 13*37=481, Resulting Numbers: [481]
481,81 unequal: No Solution
Moving to Node #0,2,4
Current State: 81:[83, 65], Operations: ['49+13=62', '3+62=65']
Exploring Operation: 83+65=148, Resulting Numbers: [148]
148,81 unequal: No Solution
Exploring Operation: 83*65=5395, Resulting Numbers: [5395]
5395,81 unequal: No Solution
Exploring Operation: 83-65=18, Resulting Numbers: [18]
18,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[62, 80], Operations: ['49+13=62', '83-3=80']
Exploring Operation: 62*80=4960, Resulting Numbers: [4960]
4960,81 unequal: No Solution
Exploring Operation: 62+80=142, Resulting Numbers: [142]
142,81 unequal: No Solution
Exploring Operation: 80-62=18, Resulting Numbers: [18]
18,81 unequal: No Solution
Moving to Node #0,0,4
Current State: 81:[83, 59], Operations: ['13-3=10', '49+10=59']
Exploring Operation: 83*59=4897, Resulting Numbers: [4897]
4897,81 unequal: No Solution
Exploring Operation: 83-59=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 83+59=142, Resulting Numbers: [142]
142,81 unequal: No Solution
Moving to Node #0,3,3
Current State: 81:[83, 59], Operations: ['49-3=46', '13+46=59']
Exploring Operation: 83-59=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 83+59=142, Resulting Numbers: [142]
142,81 unequal: No Solution
Exploring Operation: 83*59=4897, Resulting Numbers: [4897]
4897,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[83, 59], Operations: ['49+13=62', '62-3=59']
Exploring Operation: 83-59=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 83*59=4897, Resulting Numbers: [4897]
4897,81 unequal: No Solution
Exploring Operation: 83+59=142, Resulting Numbers: [142]
142,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[62, 86], Operations: ['49+13=62', '83+3=86']
Exploring Operation: 62+86=148, Resulting Numbers: [148]
148,81 unequal: No Solution
Exploring Operation: 86-62=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 62*86=5332, Resulting Numbers: [5332]
5332,81 unequal: No Solution
Moving to Node #0,0,0
Current State: 81:[49, 73], Operations: ['13-3=10', '83-10=73']
Exploring Operation: 73-49=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 49*73=3577, Resulting Numbers: [3577]
3577,81 unequal: No Solution
Exploring Operation: 49+73=122, Resulting Numbers: [122]
122,81 unequal: No Solution
Moving to Node #0,3,4
Current State: 81:[46, 70], Operations: ['49-3=46', '83-13=70']
Exploring Operation: 46+70=116, Resulting Numbers: [116]
116,81 unequal: No Solution
Exploring Operation: 46*70=3220, Resulting Numbers: [3220]
3220,81 unequal: No Solution
Exploring Operation: 70-46=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Moving to Node #0,3,0
Current State: 81:[46, 96], Operations: ['49-3=46', '83+13=96']
Exploring Operation: 46+96=142, Resulting Numbers: [142]
142,81 unequal: No Solution
Exploring Operation: 96-46=50, Resulting Numbers: [50]
50,81 unequal: No Solution
Exploring Operation: 46*96=4416, Resulting Numbers: [4416]
4416,81 unequal: No Solution
Moving to Node #0,0,3
Current State: 81:[49, 93], Operations: ['13-3=10', '83+10=93']
Exploring Operation: 49+93=142, Resulting Numbers: [142]
142,81 unequal: No Solution
Exploring Operation: 49*93=4557, Resulting Numbers: [4557]
4557,81 unequal: No Solution
Exploring Operation: 93-49=44, Resulting Numbers: [44]
44,81 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
66,
7,
45,
93
] | 11 | [
"66-7=59",
"93-45=48",
"59-48=11"
] | Current State: 11:[66, 7, 45, 93], Operations: []
Exploring Operation: 66-7=59, Resulting Numbers: [45, 93, 59]
Generated Node #2: [45, 93, 59] from Operation: 66-7=59
Current State: 11:[45, 93, 59], Operations: ['66-7=59']
Exploring Operation: 93-45=48, Resulting Numbers: [59, 48]
Generated Node #3: [59, 48] from Operation: 93-45=48
Current State: 11:[59, 48], Operations: ['66-7=59', '93-45=48']
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[66, 7, 45, 93], Operations: []
Exploring Operation: 66-45=21, Resulting Numbers: [7, 93, 21]
Generated Node #0,0: 11:[7, 93, 21] Operation: 66-45=21
Exploring Operation: 93-66=27, Resulting Numbers: [7, 45, 27]
Generated Node #0,1: 11:[7, 45, 27] Operation: 93-66=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[7, 45, 27], Operations: ['93-66=27']
Exploring Operation: 45-7=38, Resulting Numbers: [27, 38]
Generated Node #0,1,0: 11:[27, 38] Operation: 45-7=38
Exploring Operation: 45-27=18, Resulting Numbers: [7, 18]
Generated Node #0,1,1: 11:[7, 18] Operation: 45-27=18
Moving to Node #0,1,1
Current State: 11:[7, 18], Operations: ['93-66=27', '45-27=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[66, 7, 45, 93], Operations: []
Exploring Operation: 93-66=27, Resulting Numbers: [7, 45, 27]
Generated Node #0,1: 11:[7, 45, 27] Operation: 93-66=27
Moving to Node #0,1
Current State: 11:[7, 45, 27], Operations: ['93-66=27']
Exploring Operation: 45-27=18, Resulting Numbers: [7, 18]
Generated Node #0,1,1: 11:[7, 18] Operation: 45-27=18
Moving to Node #0,1,1
Current State: 11:[7, 18], Operations: ['93-66=27', '45-27=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
4,
87,
15,
53
] | 26 | [
"4*15=60",
"87-53=34",
"60-34=26"
] | Current State: 26:[4, 87, 15, 53], Operations: []
Exploring Operation: 4*15=60, Resulting Numbers: [87, 53, 60]
Generated Node #2: [87, 53, 60] from Operation: 4*15=60
Current State: 26:[87, 53, 60], Operations: ['4*15=60']
Exploring Operation: 87-53=34, Resulting Numbers: [60, 34]
Generated Node #3: [60, 34] from Operation: 87-53=34
Current State: 26:[60, 34], Operations: ['4*15=60', '87-53=34']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[4, 87, 15, 53], Operations: []
Exploring Operation: 53-15=38, Resulting Numbers: [4, 87, 38]
Generated Node #0,0: 26:[4, 87, 38] Operation: 53-15=38
Exploring Operation: 87-53=34, Resulting Numbers: [4, 15, 34]
Generated Node #0,1: 26:[4, 15, 34] Operation: 87-53=34
Exploring Operation: 87-15=72, Resulting Numbers: [4, 53, 72]
Generated Node #0,2: 26:[4, 53, 72] Operation: 87-15=72
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[4, 15, 34], Operations: ['87-53=34']
Exploring Operation: 15-4=11, Resulting Numbers: [34, 11]
Generated Node #0,1,0: 26:[34, 11] Operation: 15-4=11
Exploring Operation: 34-15=19, Resulting Numbers: [4, 19]
Generated Node #0,1,1: 26:[4, 19] Operation: 34-15=19
Exploring Operation: 34-4=30, Resulting Numbers: [15, 30]
Generated Node #0,1,2: 26:[15, 30] Operation: 34-4=30
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 26:[15, 30], Operations: ['87-53=34', '34-4=30']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,26 unequal: No Solution
No 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: 26:[4, 19], Operations: ['87-53=34', '34-15=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,26 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,26 unequal: No Solution
No 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: 26:[34, 11], Operations: ['87-53=34', '15-4=11']
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 34+11=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 34*11=374, Resulting Numbers: [374]
374,26 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: 26:[4, 87, 38], Operations: ['53-15=38']
Exploring Operation: 38-4=34, Resulting Numbers: [87, 34]
Generated Node #0,0,0: 26:[87, 34] Operation: 38-4=34
Exploring Operation: 87-4=83, Resulting Numbers: [38, 83]
Generated Node #0,0,1: 26:[38, 83] Operation: 87-4=83
Exploring Operation: 87-38=49, Resulting Numbers: [4, 49]
Generated Node #0,0,2: 26:[4, 49] Operation: 87-38=49
Moving to Node #0,0,2
Current State: 26:[4, 49], Operations: ['53-15=38', '87-38=49']
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[87, 34], Operations: ['53-15=38', '38-4=34']
Exploring Operation: 87-34=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Exploring Operation: 87*34=2958, Resulting Numbers: [2958]
2958,26 unequal: No Solution
Exploring Operation: 87+34=121, Resulting Numbers: [121]
121,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[38, 83], Operations: ['53-15=38', '87-4=83']
Exploring Operation: 38*83=3154, Resulting Numbers: [3154]
3154,26 unequal: No Solution
Exploring Operation: 38+83=121, Resulting Numbers: [121]
121,26 unequal: No Solution
Exploring Operation: 83-38=45, Resulting Numbers: [45]
45,26 unequal: No Solution
No 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: 26:[4, 53, 72], Operations: ['87-15=72']
Exploring Operation: 72/4=18, Resulting Numbers: [53, 18]
Generated Node #0,2,0: 26:[53, 18] Operation: 72/4=18
Exploring Operation: 53-4=49, Resulting Numbers: [72, 49]
Generated Node #0,2,1: 26:[72, 49] Operation: 53-4=49
Exploring Operation: 72-53=19, Resulting Numbers: [4, 19]
Generated Node #0,2,2: 26:[4, 19] Operation: 72-53=19
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 26:[4, 19], Operations: ['87-15=72', '72-53=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,26 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,26 unequal: No Solution
No 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: 26:[53, 18], Operations: ['87-15=72', '72/4=18']
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 53+18=71, Resulting Numbers: [71]
71,26 unequal: No Solution
Exploring Operation: 53*18=954, Resulting Numbers: [954]
954,26 unequal: No Solution
No 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: 26:[72, 49], Operations: ['87-15=72', '53-4=49']
Exploring Operation: 72+49=121, Resulting Numbers: [121]
121,26 unequal: No Solution
Exploring Operation: 72*49=3528, Resulting Numbers: [3528]
3528,26 unequal: No Solution
Exploring Operation: 72-49=23, Resulting Numbers: [23]
23,26 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 |
[
52,
21,
4,
24
] | 23 | [
"52+21=73",
"4*24=96",
"96-73=23"
] | Current State: 23:[52, 21, 4, 24], Operations: []
Exploring Operation: 52+21=73, Resulting Numbers: [4, 24, 73]
Generated Node #2: [4, 24, 73] from Operation: 52+21=73
Current State: 23:[4, 24, 73], Operations: ['52+21=73']
Exploring Operation: 4*24=96, Resulting Numbers: [73, 96]
Generated Node #3: [73, 96] from Operation: 4*24=96
Current State: 23:[73, 96], Operations: ['52+21=73', '4*24=96']
Exploring Operation: 96-73=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[52, 21, 4, 24], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [21, 24, 13]
Generated Node #0,0: 23:[21, 24, 13] Operation: 52/4=13
Moving to Node #0,0
Current State: 23:[21, 24, 13], Operations: ['52/4=13']
Exploring Operation: 21+13=34, Resulting Numbers: [24, 34]
Generated Node #0,0,0: 23:[24, 34] Operation: 21+13=34
Moving to Node #0,0,0
Current State: 23:[24, 34], Operations: ['52/4=13', '21+13=34']
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,23 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
59,
57,
69,
1
] | 70 | [
"59-57=2",
"69-1=68",
"2+68=70"
] | Current State: 70:[59, 57, 69, 1], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [69, 1, 2]
Generated Node #2: [69, 1, 2] from Operation: 59-57=2
Current State: 70:[69, 1, 2], Operations: ['59-57=2']
Exploring Operation: 69-1=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 69-1=68
Current State: 70:[2, 68], Operations: ['59-57=2', '69-1=68']
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[59, 57, 69, 1], Operations: []
Exploring Operation: 69-59=10, Resulting Numbers: [57, 1, 10]
Generated Node #0,0: 70:[57, 1, 10] Operation: 69-59=10
Exploring Operation: 59-57=2, Resulting Numbers: [69, 1, 2]
Generated Node #0,1: 70:[69, 1, 2] Operation: 59-57=2
Moving to Node #0,1
Current State: 70:[69, 1, 2], Operations: ['59-57=2']
Exploring Operation: 69*1=69, Resulting Numbers: [2, 69]
Generated Node #0,1,0: 70:[2, 69] Operation: 69*1=69
Exploring Operation: 69+1=70, Resulting Numbers: [2, 70]
Generated Node #0,1,1: 70:[2, 70] Operation: 69+1=70
Moving to Node #0,0
Current State: 70:[57, 1, 10], Operations: ['69-59=10']
Exploring Operation: 57+10=67, Resulting Numbers: [1, 67]
Generated Node #0,0,0: 70:[1, 67] Operation: 57+10=67
Exploring Operation: 57+1=58, Resulting Numbers: [10, 58]
Generated Node #0,0,1: 70:[10, 58] Operation: 57+1=58
Moving to Node #0,1,1
Current State: 70:[2, 70], Operations: ['59-57=2', '69+1=70']
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,70 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[2, 69], Operations: ['59-57=2', '69*1=69']
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,70 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[1, 67], Operations: ['69-59=10', '57+10=67']
Exploring Operation: 1*67=67, Resulting Numbers: [67]
67,70 unequal: No Solution
Exploring Operation: 1+67=68, Resulting Numbers: [68]
68,70 unequal: No Solution
Moving to Node #0,0,1
Current State: 70:[10, 58], Operations: ['69-59=10', '57+1=58']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,70 unequal: No Solution
Exploring Operation: 10+58=68, Resulting Numbers: [68]
68,70 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
44,
21,
70,
72
] | 43 | [
"72-70=2",
"44/2=22",
"21+22=43"
] | Current State: 43:[44, 21, 70, 72], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [44, 21, 2]
Generated Node #2: [44, 21, 2] from Operation: 72-70=2
Current State: 43:[44, 21, 2], Operations: ['72-70=2']
Exploring Operation: 44/2=22, Resulting Numbers: [21, 22]
Generated Node #3: [21, 22] from Operation: 44/2=22
Current State: 43:[21, 22], Operations: ['72-70=2', '44/2=22']
Exploring Operation: 21+22=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[44, 21, 70, 72], Operations: []
Exploring Operation: 72-21=51, Resulting Numbers: [44, 70, 51]
Generated Node #0,0: 43:[44, 70, 51] Operation: 72-21=51
Exploring Operation: 70-21=49, Resulting Numbers: [44, 72, 49]
Generated Node #0,1: 43:[44, 72, 49] Operation: 70-21=49
Moving to Node #0,0
Current State: 43:[44, 70, 51], Operations: ['72-21=51']
Exploring Operation: 70-44=26, Resulting Numbers: [51, 26]
Generated Node #0,0,0: 43:[51, 26] Operation: 70-44=26
Exploring Operation: 70-51=19, Resulting Numbers: [44, 19]
Generated Node #0,0,1: 43:[44, 19] Operation: 70-51=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[51, 26], Operations: ['72-21=51', '70-44=26']
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,43 unequal: No Solution
Exploring Operation: 51+26=77, Resulting Numbers: [77]
77,43 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:[44, 19], Operations: ['72-21=51', '70-51=19']
Exploring Operation: 44+19=63, Resulting Numbers: [63]
63,43 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,43 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:[44, 72, 49], Operations: ['70-21=49']
Exploring Operation: 72-44=28, Resulting Numbers: [49, 28]
Generated Node #0,1,0: 43:[49, 28] Operation: 72-44=28
Exploring Operation: 72-49=23, Resulting Numbers: [44, 23]
Generated Node #0,1,1: 43:[44, 23] Operation: 72-49=23
Moving to Node #0,1,0
Current State: 43:[49, 28], Operations: ['70-21=49', '72-44=28']
Exploring Operation: 49+28=77, Resulting Numbers: [77]
77,43 unequal: No Solution
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[44, 23], Operations: ['70-21=49', '72-49=23']
Exploring Operation: 44+23=67, Resulting Numbers: [67]
67,43 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,43 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
4,
55,
58,
23
] | 50 | [
"55-23=32",
"32/4=8",
"58-8=50"
] | Current State: 50:[4, 55, 58, 23], Operations: []
Exploring Operation: 55-23=32, Resulting Numbers: [4, 58, 32]
Generated Node #2: [4, 58, 32] from Operation: 55-23=32
Current State: 50:[4, 58, 32], Operations: ['55-23=32']
Exploring Operation: 32/4=8, Resulting Numbers: [58, 8]
Generated Node #3: [58, 8] from Operation: 32/4=8
Current State: 50:[58, 8], Operations: ['55-23=32', '32/4=8']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[4, 55, 58, 23], Operations: []
Exploring Operation: 4+23=27, Resulting Numbers: [55, 58, 27]
Generated Node #0,0: 50:[55, 58, 27] Operation: 4+23=27
Exploring Operation: 58-55=3, Resulting Numbers: [4, 23, 3]
Generated Node #0,1: 50:[4, 23, 3] Operation: 58-55=3
Exploring Operation: 58-4=54, Resulting Numbers: [55, 23, 54]
Generated Node #0,2: 50:[55, 23, 54] Operation: 58-4=54
Exploring Operation: 55-23=32, Resulting Numbers: [4, 58, 32]
Generated Node #0,3: 50:[4, 58, 32] Operation: 55-23=32
Exploring Operation: 55-4=51, Resulting Numbers: [58, 23, 51]
Generated Node #0,4: 50:[58, 23, 51] Operation: 55-4=51
Moving to Node #0,1
Current State: 50:[4, 23, 3], Operations: ['58-55=3']
Exploring Operation: 4-3=1, Resulting Numbers: [23, 1]
Generated Node #0,1,0: 50:[23, 1] Operation: 4-3=1
Exploring Operation: 4+3=7, Resulting Numbers: [23, 7]
Generated Node #0,1,1: 50:[23, 7] Operation: 4+3=7
Exploring Operation: 23+3=26, Resulting Numbers: [4, 26]
Generated Node #0,1,2: 50:[4, 26] Operation: 23+3=26
Exploring Operation: 4*3=12, Resulting Numbers: [23, 12]
Generated Node #0,1,3: 50:[23, 12] Operation: 4*3=12
Exploring Operation: 4+23=27, Resulting Numbers: [3, 27]
Generated Node #0,1,4: 50:[3, 27] Operation: 4+23=27
Moving to Node #0,4
Current State: 50:[58, 23, 51], Operations: ['55-4=51']
Exploring Operation: 58+23=81, Resulting Numbers: [51, 81]
Generated Node #0,4,0: 50:[51, 81] Operation: 58+23=81
Exploring Operation: 58-51=7, Resulting Numbers: [23, 7]
Generated Node #0,4,1: 50:[23, 7] Operation: 58-51=7
Exploring Operation: 58-23=35, Resulting Numbers: [51, 35]
Generated Node #0,4,2: 50:[51, 35] Operation: 58-23=35
Exploring Operation: 51-23=28, Resulting Numbers: [58, 28]
Generated Node #0,4,3: 50:[58, 28] Operation: 51-23=28
Exploring Operation: 23+51=74, Resulting Numbers: [58, 74]
Generated Node #0,4,4: 50:[58, 74] Operation: 23+51=74
Moving to Node #0,2
Current State: 50:[55, 23, 54], Operations: ['58-4=54']
Exploring Operation: 55-54=1, Resulting Numbers: [23, 1]
Generated Node #0,2,0: 50:[23, 1] Operation: 55-54=1
Exploring Operation: 55-23=32, Resulting Numbers: [54, 32]
Generated Node #0,2,1: 50:[54, 32] Operation: 55-23=32
Exploring Operation: 55+23=78, Resulting Numbers: [54, 78]
Generated Node #0,2,2: 50:[54, 78] Operation: 55+23=78
Exploring Operation: 23+54=77, Resulting Numbers: [55, 77]
Generated Node #0,2,3: 50:[55, 77] Operation: 23+54=77
Exploring Operation: 54-23=31, Resulting Numbers: [55, 31]
Generated Node #0,2,4: 50:[55, 31] Operation: 54-23=31
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 50:[23, 1], Operations: ['58-4=54', '55-54=1']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,50 unequal: No Solution
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,50 unequal: No Solution
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[54, 32], Operations: ['58-4=54', '55-23=32']
Exploring Operation: 54*32=1728, Resulting Numbers: [1728]
1728,50 unequal: No Solution
Exploring Operation: 54-32=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 54+32=86, Resulting Numbers: [86]
86,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 50:[55, 31], Operations: ['58-4=54', '54-23=31']
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,50 unequal: No Solution
Exploring Operation: 55*31=1705, Resulting Numbers: [1705]
1705,50 unequal: No Solution
Exploring Operation: 55+31=86, Resulting Numbers: [86]
86,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 50:[54, 78], Operations: ['58-4=54', '55+23=78']
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,50 unequal: No Solution
Exploring Operation: 54+78=132, Resulting Numbers: [132]
132,50 unequal: No Solution
Exploring Operation: 54*78=4212, Resulting Numbers: [4212]
4212,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 50:[55, 77], Operations: ['58-4=54', '23+54=77']
Exploring Operation: 55+77=132, Resulting Numbers: [132]
132,50 unequal: No Solution
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 55*77=4235, Resulting Numbers: [4235]
4235,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 50:[55, 58, 27], Operations: ['4+23=27']
Exploring Operation: 55-27=28, Resulting Numbers: [58, 28]
Generated Node #0,0,0: 50:[58, 28] Operation: 55-27=28
Exploring Operation: 58+27=85, Resulting Numbers: [55, 85]
Generated Node #0,0,1: 50:[55, 85] Operation: 58+27=85
Exploring Operation: 58-55=3, Resulting Numbers: [27, 3]
Generated Node #0,0,2: 50:[27, 3] Operation: 58-55=3
Exploring Operation: 55+27=82, Resulting Numbers: [58, 82]
Generated Node #0,0,3: 50:[58, 82] Operation: 55+27=82
Exploring Operation: 58-27=31, Resulting Numbers: [55, 31]
Generated Node #0,0,4: 50:[55, 31] Operation: 58-27=31
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 50:[27, 3], Operations: ['4+23=27', '58-55=3']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,50 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[58, 28], Operations: ['4+23=27', '55-27=28']
Exploring Operation: 58+28=86, Resulting Numbers: [86]
86,50 unequal: No Solution
Exploring Operation: 58-28=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Exploring Operation: 58*28=1624, Resulting Numbers: [1624]
1624,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 50:[55, 31], Operations: ['4+23=27', '58-27=31']
Exploring Operation: 55+31=86, Resulting Numbers: [86]
86,50 unequal: No Solution
Exploring Operation: 55*31=1705, Resulting Numbers: [1705]
1705,50 unequal: No Solution
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[55, 85], Operations: ['4+23=27', '58+27=85']
Exploring Operation: 85-55=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Exploring Operation: 55+85=140, Resulting Numbers: [140]
140,50 unequal: No Solution
Exploring Operation: 55*85=4675, Resulting Numbers: [4675]
4675,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 50:[58, 82], Operations: ['4+23=27', '55+27=82']
Exploring Operation: 58+82=140, Resulting Numbers: [140]
140,50 unequal: No Solution
Exploring Operation: 58*82=4756, Resulting Numbers: [4756]
4756,50 unequal: No Solution
Exploring Operation: 82-58=24, Resulting Numbers: [24]
24,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 50:[4, 58, 32], Operations: ['55-23=32']
Exploring Operation: 58-32=26, Resulting Numbers: [4, 26]
Generated Node #0,3,0: 50:[4, 26] Operation: 58-32=26
Exploring Operation: 32/4=8, Resulting Numbers: [58, 8]
Generated Node #0,3,1: 50:[58, 8] Operation: 32/4=8
Exploring Operation: 58-4=54, Resulting Numbers: [32, 54]
Generated Node #0,3,2: 50:[32, 54] Operation: 58-4=54
Exploring Operation: 4+58=62, Resulting Numbers: [32, 62]
Generated Node #0,3,3: 50:[32, 62] Operation: 4+58=62
Exploring Operation: 32-4=28, Resulting Numbers: [58, 28]
Generated Node #0,3,4: 50:[58, 28] Operation: 32-4=28
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 50:[4, 26], Operations: ['55-23=32', '58-32=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,50 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 50:[58, 8], Operations: ['55-23=32', '32/4=8']
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,50 unequal: No Solution
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[4, 55, 58, 23], Operations: []
Exploring Operation: 55-23=32, Resulting Numbers: [4, 58, 32]
Generated Node #0,3: 50:[4, 58, 32] Operation: 55-23=32
Moving to Node #0,3
Current State: 50:[4, 58, 32], Operations: ['55-23=32']
Exploring Operation: 32/4=8, Resulting Numbers: [58, 8]
Generated Node #0,3,1: 50:[58, 8] Operation: 32/4=8
Moving to Node #0,3,1
Current State: 50:[58, 8], Operations: ['55-23=32', '32/4=8']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.938368 | hs_5 | mult_heuristic |
[
83,
56,
25,
78
] | 61 | [
"83-78=5",
"25/5=5",
"56+5=61"
] | Current State: 61:[83, 56, 25, 78], Operations: []
Exploring Operation: 83-78=5, Resulting Numbers: [56, 25, 5]
Generated Node #2: [56, 25, 5] from Operation: 83-78=5
Current State: 61:[56, 25, 5], Operations: ['83-78=5']
Exploring Operation: 25/5=5, Resulting Numbers: [56, 5]
Generated Node #3: [56, 5] from Operation: 25/5=5
Current State: 61:[56, 5], Operations: ['83-78=5', '25/5=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[83, 56, 25, 78], Operations: []
Exploring Operation: 83+25=108, Resulting Numbers: [56, 78, 108]
Generated Node #0,0: 61:[56, 78, 108] Operation: 83+25=108
Exploring Operation: 83-25=58, Resulting Numbers: [56, 78, 58]
Generated Node #0,1: 61:[56, 78, 58] Operation: 83-25=58
Exploring Operation: 78-25=53, Resulting Numbers: [83, 56, 53]
Generated Node #0,2: 61:[83, 56, 53] Operation: 78-25=53
Exploring Operation: 56+25=81, Resulting Numbers: [83, 78, 81]
Generated Node #0,3: 61:[83, 78, 81] Operation: 56+25=81
Moving to Node #0,1
Current State: 61:[56, 78, 58], Operations: ['83-25=58']
Exploring Operation: 78-58=20, Resulting Numbers: [56, 20]
Generated Node #0,1,0: 61:[56, 20] Operation: 78-58=20
Exploring Operation: 78-56=22, Resulting Numbers: [58, 22]
Generated Node #0,1,1: 61:[58, 22] Operation: 78-56=22
Exploring Operation: 56+58=114, Resulting Numbers: [78, 114]
Generated Node #0,1,2: 61:[78, 114] Operation: 56+58=114
Exploring Operation: 56+78=134, Resulting Numbers: [58, 134]
Generated Node #0,1,3: 61:[58, 134] Operation: 56+78=134
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[58, 22], Operations: ['83-25=58', '78-56=22']
Exploring Operation: 58*22=1276, Resulting Numbers: [1276]
1276,61 unequal: No Solution
Exploring Operation: 58-22=36, Resulting Numbers: [36]
36,61 unequal: No Solution
Exploring Operation: 58+22=80, Resulting Numbers: [80]
80,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[56, 20], Operations: ['83-25=58', '78-58=20']
Exploring Operation: 56*20=1120, Resulting Numbers: [1120]
1120,61 unequal: No Solution
Exploring Operation: 56-20=36, Resulting Numbers: [36]
36,61 unequal: No Solution
Exploring Operation: 56+20=76, Resulting Numbers: [76]
76,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 61:[78, 114], Operations: ['83-25=58', '56+58=114']
Exploring Operation: 78+114=192, Resulting Numbers: [192]
192,61 unequal: No Solution
Exploring Operation: 114-78=36, Resulting Numbers: [36]
36,61 unequal: No Solution
Exploring Operation: 78*114=8892, Resulting Numbers: [8892]
8892,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 61:[58, 134], Operations: ['83-25=58', '56+78=134']
Exploring Operation: 58*134=7772, Resulting Numbers: [7772]
7772,61 unequal: No Solution
Exploring Operation: 134-58=76, Resulting Numbers: [76]
76,61 unequal: No Solution
Exploring Operation: 58+134=192, Resulting Numbers: [192]
192,61 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:[83, 56, 53], Operations: ['78-25=53']
Exploring Operation: 83+53=136, Resulting Numbers: [56, 136]
Generated Node #0,2,0: 61:[56, 136] Operation: 83+53=136
Exploring Operation: 83-53=30, Resulting Numbers: [56, 30]
Generated Node #0,2,1: 61:[56, 30] Operation: 83-53=30
Exploring Operation: 83-56=27, Resulting Numbers: [53, 27]
Generated Node #0,2,2: 61:[53, 27] Operation: 83-56=27
Exploring Operation: 56+53=109, Resulting Numbers: [83, 109]
Generated Node #0,2,3: 61:[83, 109] Operation: 56+53=109
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[56, 30], Operations: ['78-25=53', '83-53=30']
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,61 unequal: No Solution
Exploring Operation: 56+30=86, Resulting Numbers: [86]
86,61 unequal: No Solution
Exploring Operation: 56*30=1680, Resulting Numbers: [1680]
1680,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 61:[53, 27], Operations: ['78-25=53', '83-56=27']
Exploring Operation: 53*27=1431, Resulting Numbers: [1431]
1431,61 unequal: No Solution
Exploring Operation: 53+27=80, Resulting Numbers: [80]
80,61 unequal: No Solution
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 61:[83, 109], Operations: ['78-25=53', '56+53=109']
Exploring Operation: 83+109=192, Resulting Numbers: [192]
192,61 unequal: No Solution
Exploring Operation: 83*109=9047, Resulting Numbers: [9047]
9047,61 unequal: No Solution
Exploring Operation: 109-83=26, Resulting Numbers: [26]
26,61 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:[56, 136], Operations: ['78-25=53', '83+53=136']
Exploring Operation: 136-56=80, Resulting Numbers: [80]
80,61 unequal: No Solution
Exploring Operation: 56+136=192, Resulting Numbers: [192]
192,61 unequal: No Solution
Exploring Operation: 56*136=7616, Resulting Numbers: [7616]
7616,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 61:[83, 78, 81], Operations: ['56+25=81']
Exploring Operation: 81-78=3, Resulting Numbers: [83, 3]
Generated Node #0,3,0: 61:[83, 3] Operation: 81-78=3
Exploring Operation: 83-81=2, Resulting Numbers: [78, 2]
Generated Node #0,3,1: 61:[78, 2] Operation: 83-81=2
Exploring Operation: 83+78=161, Resulting Numbers: [81, 161]
Generated Node #0,3,2: 61:[81, 161] Operation: 83+78=161
Exploring Operation: 83-78=5, Resulting Numbers: [81, 5]
Generated Node #0,3,3: 61:[81, 5] Operation: 83-78=5
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 61:[78, 2], Operations: ['56+25=81', '83-81=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,61 unequal: No Solution
Exploring Operation: 78*2=156, Resulting Numbers: [156]
156,61 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,61 unequal: No Solution
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,61 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 #0,3,3
Current State: 61:[81, 5], Operations: ['56+25=81', '83-78=5']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,61 unequal: No Solution
Exploring Operation: 81*5=405, Resulting Numbers: [405]
405,61 unequal: No Solution
Exploring Operation: 81+5=86, Resulting Numbers: [86]
86,61 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 #0,3,0
Current State: 61:[83, 3], Operations: ['56+25=81', '81-78=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,61 unequal: No Solution
Exploring Operation: 83*3=249, Resulting Numbers: [249]
249,61 unequal: No Solution
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,61 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 #0,3,2
Current State: 61:[81, 161], Operations: ['56+25=81', '83+78=161']
Exploring Operation: 81+161=242, Resulting Numbers: [242]
242,61 unequal: No Solution
Exploring Operation: 81*161=13041, Resulting Numbers: [13041]
13041,61 unequal: No Solution
Exploring Operation: 161-81=80, Resulting Numbers: [80]
80,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 61:[56, 78, 108], Operations: ['83+25=108']
Exploring Operation: 108-78=30, Resulting Numbers: [56, 30]
Generated Node #0,0,0: 61:[56, 30] Operation: 108-78=30
Exploring Operation: 108-56=52, Resulting Numbers: [78, 52]
Generated Node #0,0,1: 61:[78, 52] Operation: 108-56=52
Exploring Operation: 78-56=22, Resulting Numbers: [108, 22]
Generated Node #0,0,2: 61:[108, 22] Operation: 78-56=22
Exploring Operation: 56+78=134, Resulting Numbers: [108, 134]
Generated Node #0,0,3: 61:[108, 134] Operation: 56+78=134
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[78, 52], Operations: ['83+25=108', '108-56=52']
Exploring Operation: 78*52=4056, Resulting Numbers: [4056]
4056,61 unequal: No Solution
Exploring Operation: 78+52=130, Resulting Numbers: [130]
130,61 unequal: No Solution
Exploring Operation: 78-52=26, Resulting Numbers: [26]
26,61 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:[56, 30], Operations: ['83+25=108', '108-78=30']
Exploring Operation: 56*30=1680, Resulting Numbers: [1680]
1680,61 unequal: No Solution
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,61 unequal: No Solution
Exploring Operation: 56+30=86, Resulting Numbers: [86]
86,61 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:[108, 22], Operations: ['83+25=108', '78-56=22']
Exploring Operation: 108-22=86, Resulting Numbers: [86]
86,61 unequal: No Solution
Exploring Operation: 108*22=2376, Resulting Numbers: [2376]
2376,61 unequal: No Solution
Exploring Operation: 108+22=130, Resulting Numbers: [130]
130,61 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:[108, 134], Operations: ['83+25=108', '56+78=134']
Exploring Operation: 108*134=14472, Resulting Numbers: [14472]
14472,61 unequal: No Solution
Exploring Operation: 134-108=26, Resulting Numbers: [26]
26,61 unequal: No Solution
Exploring Operation: 108+134=242, Resulting Numbers: [242]
242,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
15,
31,
50,
25
] | 25 | [
"15*50=750",
"31*25=775",
"775-750=25"
] | Current State: 25:[15, 31, 50, 25], Operations: []
Exploring Operation: 15*50=750, Resulting Numbers: [31, 25, 750]
Generated Node #2: [31, 25, 750] from Operation: 15*50=750
Current State: 25:[31, 25, 750], Operations: ['15*50=750']
Exploring Operation: 31*25=775, Resulting Numbers: [750, 775]
Generated Node #3: [750, 775] from Operation: 31*25=775
Current State: 25:[750, 775], Operations: ['15*50=750', '31*25=775']
Exploring Operation: 775-750=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[15, 31, 50, 25], Operations: []
Exploring Operation: 50-31=19, Resulting Numbers: [15, 25, 19]
Generated Node #0,0: 25:[15, 25, 19] Operation: 50-31=19
Exploring Operation: 50-15=35, Resulting Numbers: [31, 25, 35]
Generated Node #0,1: 25:[31, 25, 35] Operation: 50-15=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[15, 25, 19], Operations: ['50-31=19']
Exploring Operation: 15+19=34, Resulting Numbers: [25, 34]
Generated Node #0,0,0: 25:[25, 34] Operation: 15+19=34
Exploring Operation: 19-15=4, Resulting Numbers: [25, 4]
Generated Node #0,0,1: 25:[25, 4] Operation: 19-15=4
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 25:[25, 4], Operations: ['50-31=19', '19-15=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,25 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,25 unequal: No Solution
No 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: 25:[25, 34], Operations: ['50-31=19', '15+19=34']
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[31, 25, 35], Operations: ['50-15=35']
Exploring Operation: 31-25=6, Resulting Numbers: [35, 6]
Generated Node #0,1,0: 25:[35, 6] Operation: 31-25=6
Exploring Operation: 35-31=4, Resulting Numbers: [25, 4]
Generated Node #0,1,1: 25:[25, 4] Operation: 35-31=4
Moving to Node #0,1,1
Current State: 25:[25, 4], Operations: ['50-15=35', '35-31=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,25 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[35, 6], Operations: ['50-15=35', '31-25=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,25 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 |
[
31,
7,
19,
35
] | 33 | [
"31+7=38",
"38/19=2",
"35-2=33"
] | Current State: 33:[31, 7, 19, 35], Operations: []
Exploring Operation: 31+7=38, Resulting Numbers: [19, 35, 38]
Generated Node #2: [19, 35, 38] from Operation: 31+7=38
Current State: 33:[19, 35, 38], Operations: ['31+7=38']
Exploring Operation: 38/19=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 38/19=2
Current State: 33:[35, 2], Operations: ['31+7=38', '38/19=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[31, 7, 19, 35], Operations: []
Exploring Operation: 19-7=12, Resulting Numbers: [31, 35, 12]
Generated Node #0,0: 33:[31, 35, 12] Operation: 19-7=12
Moving to Node #0,0
Current State: 33:[31, 35, 12], Operations: ['19-7=12']
Exploring Operation: 35-31=4, Resulting Numbers: [12, 4]
Generated Node #0,0,0: 33:[12, 4] Operation: 35-31=4
Moving to Node #0,0,0
Current State: 33:[12, 4], Operations: ['19-7=12', '35-31=4']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,33 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
23,
22,
24,
32
] | 64 | [
"22+24=46",
"46/23=2",
"32*2=64"
] | Current State: 64:[23, 22, 24, 32], Operations: []
Exploring Operation: 22+24=46, Resulting Numbers: [23, 32, 46]
Generated Node #2: [23, 32, 46] from Operation: 22+24=46
Current State: 64:[23, 32, 46], Operations: ['22+24=46']
Exploring Operation: 46/23=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 46/23=2
Current State: 64:[32, 2], Operations: ['22+24=46', '46/23=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[23, 22, 24, 32], Operations: []
Exploring Operation: 23-22=1, Resulting Numbers: [24, 32, 1]
Generated Node #0,0: 64:[24, 32, 1] Operation: 23-22=1
Exploring Operation: 32-24=8, Resulting Numbers: [23, 22, 8]
Generated Node #0,1: 64:[23, 22, 8] Operation: 32-24=8
Exploring Operation: 24-22=2, Resulting Numbers: [23, 32, 2]
Generated Node #0,2: 64:[23, 32, 2] Operation: 24-22=2
Exploring Operation: 32-23=9, Resulting Numbers: [22, 24, 9]
Generated Node #0,3: 64:[22, 24, 9] Operation: 32-23=9
Exploring Operation: 24-23=1, Resulting Numbers: [22, 32, 1]
Generated Node #0,4: 64:[22, 32, 1] Operation: 24-23=1
Moving to Node #0,2
Current State: 64:[23, 32, 2], Operations: ['24-22=2']
Exploring Operation: 32/2=16, Resulting Numbers: [23, 16]
Generated Node #0,2,0: 64:[23, 16] Operation: 32/2=16
Exploring Operation: 23-2=21, Resulting Numbers: [32, 21]
Generated Node #0,2,1: 64:[32, 21] Operation: 23-2=21
Exploring Operation: 32*2=64, Resulting Numbers: [23, 64]
Generated Node #0,2,2: 64:[23, 64] Operation: 32*2=64
Exploring Operation: 32-23=9, Resulting Numbers: [2, 9]
Generated Node #0,2,3: 64:[2, 9] Operation: 32-23=9
Exploring Operation: 23+2=25, Resulting Numbers: [32, 25]
Generated Node #0,2,4: 64:[32, 25] Operation: 23+2=25
Moving to Node #0,4
Current State: 64:[22, 32, 1], Operations: ['24-23=1']
Exploring Operation: 22*1=22, Resulting Numbers: [32, 22]
Generated Node #0,4,0: 64:[32, 22] Operation: 22*1=22
Exploring Operation: 32*1=32, Resulting Numbers: [22, 32]
Generated Node #0,4,1: 64:[22, 32] Operation: 32*1=32
Exploring Operation: 22-1=21, Resulting Numbers: [32, 21]
Generated Node #0,4,2: 64:[32, 21] Operation: 22-1=21
Exploring Operation: 22/1=22, Resulting Numbers: [32, 22]
Generated Node #0,4,3: 64:[32, 22] Operation: 22/1=22
Exploring Operation: 32-22=10, Resulting Numbers: [1, 10]
Generated Node #0,4,4: 64:[1, 10] Operation: 32-22=10
Moving to Node #0,0
Current State: 64:[24, 32, 1], Operations: ['23-22=1']
Exploring Operation: 24+1=25, Resulting Numbers: [32, 25]
Generated Node #0,0,0: 64:[32, 25] Operation: 24+1=25
Exploring Operation: 24*1=24, Resulting Numbers: [32, 24]
Generated Node #0,0,1: 64:[32, 24] Operation: 24*1=24
Exploring Operation: 24-1=23, Resulting Numbers: [32, 23]
Generated Node #0,0,2: 64:[32, 23] Operation: 24-1=23
Exploring Operation: 24/1=24, Resulting Numbers: [32, 24]
Generated Node #0,0,3: 64:[32, 24] Operation: 24/1=24
Exploring Operation: 32-24=8, Resulting Numbers: [1, 8]
Generated Node #0,0,4: 64:[1, 8] Operation: 32-24=8
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 64:[1, 8], Operations: ['23-22=1', '32-24=8']
Exploring Operation: 1+8=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,64 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:[32, 25], Operations: ['23-22=1', '24+1=25']
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 32*25=800, Resulting Numbers: [800]
800,64 unequal: No Solution
Exploring Operation: 32+25=57, Resulting Numbers: [57]
57,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[32, 23], Operations: ['23-22=1', '24-1=23']
Exploring Operation: 32+23=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 32*23=736, Resulting Numbers: [736]
736,64 unequal: No Solution
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,64 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 #0,0,1
Current State: 64:[32, 24], Operations: ['23-22=1', '24*1=24']
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Exploring Operation: 32*24=768, Resulting Numbers: [768]
768,64 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 #0,0,3
Current State: 64:[32, 24], Operations: ['23-22=1', '24/1=24']
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Exploring Operation: 32*24=768, Resulting Numbers: [768]
768,64 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: 64:[23, 22, 8], Operations: ['32-24=8']
Exploring Operation: 23-8=15, Resulting Numbers: [22, 15]
Generated Node #0,1,0: 64:[22, 15] Operation: 23-8=15
Exploring Operation: 23+8=31, Resulting Numbers: [22, 31]
Generated Node #0,1,1: 64:[22, 31] Operation: 23+8=31
Exploring Operation: 22-8=14, Resulting Numbers: [23, 14]
Generated Node #0,1,2: 64:[23, 14] Operation: 22-8=14
Exploring Operation: 23-22=1, Resulting Numbers: [8, 1]
Generated Node #0,1,3: 64:[8, 1] Operation: 23-22=1
Exploring Operation: 22+8=30, Resulting Numbers: [23, 30]
Generated Node #0,1,4: 64:[23, 30] Operation: 22+8=30
Moving to Node #0,3
Current State: 64:[22, 24, 9], Operations: ['32-23=9']
Exploring Operation: 24-22=2, Resulting Numbers: [9, 2]
Generated Node #0,3,0: 64:[9, 2] Operation: 24-22=2
Exploring Operation: 24-9=15, Resulting Numbers: [22, 15]
Generated Node #0,3,1: 64:[22, 15] Operation: 24-9=15
Exploring Operation: 22+9=31, Resulting Numbers: [24, 31]
Generated Node #0,3,2: 64:[24, 31] Operation: 22+9=31
Exploring Operation: 24+9=33, Resulting Numbers: [22, 33]
Generated Node #0,3,3: 64:[22, 33] Operation: 24+9=33
Exploring Operation: 22-9=13, Resulting Numbers: [24, 13]
Generated Node #0,3,4: 64:[24, 13] Operation: 22-9=13
Moving to Node #0,2,3
Current State: 64:[2, 9], Operations: ['24-22=2', '32-23=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Moving to Node #0,1,3
Current State: 64:[8, 1], Operations: ['32-24=8', '23-22=1']
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Moving to Node #0,3,0
Current State: 64:[9, 2], Operations: ['32-23=9', '24-22=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Moving to Node #0,4,4
Current State: 64:[1, 10], Operations: ['24-23=1', '32-22=10']
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 1*10=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Moving to Node #0,4,2
Current State: 64:[32, 21], Operations: ['24-23=1', '22-1=21']
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Exploring Operation: 32*21=672, Resulting Numbers: [672]
672,64 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[32, 21], Operations: ['24-22=2', '23-2=21']
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 32*21=672, Resulting Numbers: [672]
672,64 unequal: No Solution
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Moving to Node #0,4,3
Current State: 64:[32, 22], Operations: ['24-23=1', '22/1=22']
Exploring Operation: 32-22=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 32*22=704, Resulting Numbers: [704]
704,64 unequal: No Solution
Exploring Operation: 32+22=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Moving to Node #0,4,1
Current State: 64:[22, 32], Operations: ['24-23=1', '32*1=32']
Exploring Operation: 22*32=704, Resulting Numbers: [704]
704,64 unequal: No Solution
Exploring Operation: 32-22=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 22+32=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Moving to Node #0,4,0
Current State: 64:[32, 22], Operations: ['24-23=1', '22*1=22']
Exploring Operation: 32+22=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Exploring Operation: 32-22=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 32*22=704, Resulting Numbers: [704]
704,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[23, 16], Operations: ['24-22=2', '32/2=16']
Exploring Operation: 23*16=368, Resulting Numbers: [368]
368,64 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[22, 31], Operations: ['32-24=8', '23+8=31']
Exploring Operation: 22*31=682, Resulting Numbers: [682]
682,64 unequal: No Solution
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[22, 15], Operations: ['32-24=8', '23-8=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Exploring Operation: 22*15=330, Resulting Numbers: [330]
330,64 unequal: No Solution
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Moving to Node #0,3,1
Current State: 64:[22, 15], Operations: ['32-23=9', '24-9=15']
Exploring Operation: 22*15=330, Resulting Numbers: [330]
330,64 unequal: No Solution
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Moving to Node #0,2,4
Current State: 64:[32, 25], Operations: ['24-22=2', '23+2=25']
Exploring Operation: 32*25=800, Resulting Numbers: [800]
800,64 unequal: No Solution
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 32+25=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[23, 64], Operations: ['24-22=2', '32*2=64']
Exploring Operation: 23+64=87, Resulting Numbers: [87]
87,64 unequal: No Solution
Exploring Operation: 23*64=1472, Resulting Numbers: [1472]
1472,64 unequal: No Solution
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,64 unequal: No Solution
Moving to Node #0,3,3
Current State: 64:[22, 33], Operations: ['32-23=9', '24+9=33']
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 22+33=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 22*33=726, Resulting Numbers: [726]
726,64 unequal: No Solution
Moving to Node #0,1,4
Current State: 64:[23, 30], Operations: ['32-24=8', '22+8=30']
Exploring Operation: 23*30=690, Resulting Numbers: [690]
690,64 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 23+30=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[23, 14], Operations: ['32-24=8', '22-8=14']
Exploring Operation: 23*14=322, Resulting Numbers: [322]
322,64 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Moving to Node #0,3,2
Current State: 64:[24, 31], Operations: ['32-23=9', '22+9=31']
Exploring Operation: 24*31=744, Resulting Numbers: [744]
744,64 unequal: No Solution
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Moving to Node #0,3,4
Current State: 64:[24, 13], Operations: ['32-23=9', '22-9=13']
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Exploring Operation: 24*13=312, Resulting Numbers: [312]
312,64 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,64 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
5,
45,
97,
89
] | 17 | [
"45/5=9",
"97-89=8",
"9+8=17"
] | Current State: 17:[5, 45, 97, 89], Operations: []
Exploring Operation: 45/5=9, Resulting Numbers: [97, 89, 9]
Generated Node #2: [97, 89, 9] from Operation: 45/5=9
Current State: 17:[97, 89, 9], Operations: ['45/5=9']
Exploring Operation: 97-89=8, Resulting Numbers: [9, 8]
Generated Node #3: [9, 8] from Operation: 97-89=8
Current State: 17:[9, 8], Operations: ['45/5=9', '97-89=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[5, 45, 97, 89], Operations: []
Exploring Operation: 45/5=9, Resulting Numbers: [97, 89, 9]
Generated Node #0,0: 17:[97, 89, 9] Operation: 45/5=9
Exploring Operation: 97-89=8, Resulting Numbers: [5, 45, 8]
Generated Node #0,1: 17:[5, 45, 8] Operation: 97-89=8
Exploring Operation: 89-45=44, Resulting Numbers: [5, 97, 44]
Generated Node #0,2: 17:[5, 97, 44] Operation: 89-45=44
Exploring Operation: 97-45=52, Resulting Numbers: [5, 89, 52]
Generated Node #0,3: 17:[5, 89, 52] Operation: 97-45=52
Moving to Node #0,1
Current State: 17:[5, 45, 8], Operations: ['97-89=8']
Exploring Operation: 45/5=9, Resulting Numbers: [8, 9]
Generated Node #0,1,0: 17:[8, 9] Operation: 45/5=9
Exploring Operation: 45-8=37, Resulting Numbers: [5, 37]
Generated Node #0,1,1: 17:[5, 37] Operation: 45-8=37
Exploring Operation: 5+8=13, Resulting Numbers: [45, 13]
Generated Node #0,1,2: 17:[45, 13] Operation: 5+8=13
Exploring Operation: 45-5=40, Resulting Numbers: [8, 40]
Generated Node #0,1,3: 17:[8, 40] Operation: 45-5=40
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 17:[8, 9], Operations: ['97-89=8', '45/5=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[5, 45, 97, 89], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [5, 45, 8]
Generated Node #0,1: 17:[5, 45, 8] Operation: 97-89=8
Moving to Node #0,1
Current State: 17:[5, 45, 8], Operations: ['97-89=8']
Exploring Operation: 45/5=9, Resulting Numbers: [8, 9]
Generated Node #0,1,0: 17:[8, 9] Operation: 45/5=9
Moving to Node #0,1,0
Current State: 17:[8, 9], Operations: ['97-89=8', '45/5=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
41,
18,
24,
16
] | 55 | [
"24-18=6",
"16*6=96",
"96-41=55"
] | Current State: 55:[41, 18, 24, 16], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [41, 16, 6]
Generated Node #2: [41, 16, 6] from Operation: 24-18=6
Current State: 55:[41, 16, 6], Operations: ['24-18=6']
Exploring Operation: 16*6=96, Resulting Numbers: [41, 96]
Generated Node #3: [41, 96] from Operation: 16*6=96
Current State: 55:[41, 96], Operations: ['24-18=6', '16*6=96']
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[41, 18, 24, 16], Operations: []
Exploring Operation: 41+18=59, Resulting Numbers: [24, 16, 59]
Generated Node #0,0: 55:[24, 16, 59] Operation: 41+18=59
Exploring Operation: 24-18=6, Resulting Numbers: [41, 16, 6]
Generated Node #0,1: 55:[41, 16, 6] Operation: 24-18=6
Exploring Operation: 41-24=17, Resulting Numbers: [18, 16, 17]
Generated Node #0,2: 55:[18, 16, 17] Operation: 41-24=17
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[18, 16, 17], Operations: ['41-24=17']
Exploring Operation: 18-17=1, Resulting Numbers: [16, 1]
Generated Node #0,2,0: 55:[16, 1] Operation: 18-17=1
Exploring Operation: 17-16=1, Resulting Numbers: [18, 1]
Generated Node #0,2,1: 55:[18, 1] Operation: 17-16=1
Exploring Operation: 18-16=2, Resulting Numbers: [17, 2]
Generated Node #0,2,2: 55:[17, 2] Operation: 18-16=2
Moving to Node #0,2,0
Current State: 55:[16, 1], Operations: ['41-24=17', '18-17=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,55 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,55 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[17, 2], Operations: ['41-24=17', '18-16=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,55 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[18, 1], Operations: ['41-24=17', '17-16=1']
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,55 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,55 unequal: No Solution
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,55 unequal: No Solution
No 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: 55:[41, 16, 6], Operations: ['24-18=6']
Exploring Operation: 41-16=25, Resulting Numbers: [6, 25]
Generated Node #0,1,0: 55:[6, 25] Operation: 41-16=25
Exploring Operation: 41+6=47, Resulting Numbers: [16, 47]
Generated Node #0,1,1: 55:[16, 47] Operation: 41+6=47
Exploring Operation: 41+16=57, Resulting Numbers: [6, 57]
Generated Node #0,1,2: 55:[6, 57] Operation: 41+16=57
Moving to Node #0,1,2
Current State: 55:[6, 57], Operations: ['24-18=6', '41+16=57']
Exploring Operation: 6*57=342, Resulting Numbers: [342]
342,55 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 6+57=63, Resulting Numbers: [63]
63,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[16, 47], Operations: ['24-18=6', '41+6=47']
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 16+47=63, Resulting Numbers: [63]
63,55 unequal: No Solution
Exploring Operation: 16*47=752, Resulting Numbers: [752]
752,55 unequal: No Solution
Moving to Node #0,1,0
Current State: 55:[6, 25], Operations: ['24-18=6', '41-16=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,55 unequal: No Solution
No 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: 55:[24, 16, 59], Operations: ['41+18=59']
Exploring Operation: 24-16=8, Resulting Numbers: [59, 8]
Generated Node #0,0,0: 55:[59, 8] Operation: 24-16=8
Exploring Operation: 59-24=35, Resulting Numbers: [16, 35]
Generated Node #0,0,1: 55:[16, 35] Operation: 59-24=35
Exploring Operation: 24+16=40, Resulting Numbers: [59, 40]
Generated Node #0,0,2: 55:[59, 40] Operation: 24+16=40
Moving to Node #0,0,0
Current State: 55:[59, 8], Operations: ['41+18=59', '24-16=8']
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,55 unequal: No Solution
Exploring Operation: 59*8=472, Resulting Numbers: [472]
472,55 unequal: No Solution
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Moving to Node #0,0,2
Current State: 55:[59, 40], Operations: ['41+18=59', '24+16=40']
Exploring Operation: 59+40=99, Resulting Numbers: [99]
99,55 unequal: No Solution
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Exploring Operation: 59*40=2360, Resulting Numbers: [2360]
2360,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[16, 35], Operations: ['41+18=59', '59-24=35']
Exploring Operation: 16*35=560, Resulting Numbers: [560]
560,55 unequal: No Solution
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Exploring Operation: 16+35=51, Resulting Numbers: [51]
51,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
67,
33,
58,
40
] | 52 | [
"67-33=34",
"58-40=18",
"34+18=52"
] | Current State: 52:[67, 33, 58, 40], Operations: []
Exploring Operation: 67-33=34, Resulting Numbers: [58, 40, 34]
Generated Node #2: [58, 40, 34] from Operation: 67-33=34
Current State: 52:[58, 40, 34], Operations: ['67-33=34']
Exploring Operation: 58-40=18, Resulting Numbers: [34, 18]
Generated Node #3: [34, 18] from Operation: 58-40=18
Current State: 52:[34, 18], Operations: ['67-33=34', '58-40=18']
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[67, 33, 58, 40], Operations: []
Exploring Operation: 67-40=27, Resulting Numbers: [33, 58, 27]
Generated Node #0,0: 52:[33, 58, 27] Operation: 67-40=27
Moving to Node #0,0
Current State: 52:[33, 58, 27], Operations: ['67-40=27']
Exploring Operation: 58-33=25, Resulting Numbers: [27, 25]
Generated Node #0,0,0: 52:[27, 25] Operation: 58-33=25
Moving to Node #0,0,0
Current State: 52:[27, 25], Operations: ['67-40=27', '58-33=25']
Exploring Operation: 27+25=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[67, 33, 58, 40], Operations: []
Exploring Operation: 67-40=27, Resulting Numbers: [33, 58, 27]
Generated Node #0,0: 52:[33, 58, 27] Operation: 67-40=27
Moving to Node #0,0
Current State: 52:[33, 58, 27], Operations: ['67-40=27']
Exploring Operation: 58-33=25, Resulting Numbers: [27, 25]
Generated Node #0,0,0: 52:[27, 25] Operation: 58-33=25
Moving to Node #0,0,0
Current State: 52:[27, 25], Operations: ['67-40=27', '58-33=25']
Exploring Operation: 27+25=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
88,
1,
86,
96
] | 97 | [
"88-1=87",
"96-86=10",
"87+10=97"
] | Current State: 97:[88, 1, 86, 96], Operations: []
Exploring Operation: 88-1=87, Resulting Numbers: [86, 96, 87]
Generated Node #2: [86, 96, 87] from Operation: 88-1=87
Current State: 97:[86, 96, 87], Operations: ['88-1=87']
Exploring Operation: 96-86=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 96-86=10
Current State: 97:[87, 10], Operations: ['88-1=87', '96-86=10']
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[88, 1, 86, 96], Operations: []
Exploring Operation: 88+1=89, Resulting Numbers: [86, 96, 89]
Generated Node #0,0: 97:[86, 96, 89] Operation: 88+1=89
Exploring Operation: 1+86=87, Resulting Numbers: [88, 96, 87]
Generated Node #0,1: 97:[88, 96, 87] Operation: 1+86=87
Exploring Operation: 1+96=97, Resulting Numbers: [88, 86, 97]
Generated Node #0,2: 97:[88, 86, 97] Operation: 1+96=97
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[86, 96, 89], Operations: ['88+1=89']
Exploring Operation: 86+89=175, Resulting Numbers: [96, 175]
Generated Node #0,0,0: 97:[96, 175] Operation: 86+89=175
Exploring Operation: 86+96=182, Resulting Numbers: [89, 182]
Generated Node #0,0,1: 97:[89, 182] Operation: 86+96=182
Exploring Operation: 96-86=10, Resulting Numbers: [89, 10]
Generated Node #0,0,2: 97:[89, 10] Operation: 96-86=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[96, 175], Operations: ['88+1=89', '86+89=175']
Exploring Operation: 96+175=271, Resulting Numbers: [271]
271,97 unequal: No Solution
Exploring Operation: 175-96=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 96*175=16800, Resulting Numbers: [16800]
16800,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[89, 182], Operations: ['88+1=89', '86+96=182']
Exploring Operation: 182-89=93, Resulting Numbers: [93]
93,97 unequal: No Solution
Exploring Operation: 89+182=271, Resulting Numbers: [271]
271,97 unequal: No Solution
Exploring Operation: 89*182=16198, Resulting Numbers: [16198]
16198,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[89, 10], Operations: ['88+1=89', '96-86=10']
Exploring Operation: 89-10=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 89+10=99, Resulting Numbers: [99]
99,97 unequal: No Solution
Exploring Operation: 89*10=890, Resulting Numbers: [890]
890,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[88, 96, 87], Operations: ['1+86=87']
Exploring Operation: 88+87=175, Resulting Numbers: [96, 175]
Generated Node #0,1,0: 97:[96, 175] Operation: 88+87=175
Exploring Operation: 96+87=183, Resulting Numbers: [88, 183]
Generated Node #0,1,1: 97:[88, 183] Operation: 96+87=183
Exploring Operation: 88+96=184, Resulting Numbers: [87, 184]
Generated Node #0,1,2: 97:[87, 184] Operation: 88+96=184
Moving to Node #0,1,0
Current State: 97:[96, 175], Operations: ['1+86=87', '88+87=175']
Exploring Operation: 96*175=16800, Resulting Numbers: [16800]
16800,97 unequal: No Solution
Exploring Operation: 175-96=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 96+175=271, Resulting Numbers: [271]
271,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[88, 183], Operations: ['1+86=87', '96+87=183']
Exploring Operation: 183-88=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 88*183=16104, Resulting Numbers: [16104]
16104,97 unequal: No Solution
Exploring Operation: 88+183=271, Resulting Numbers: [271]
271,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[87, 184], Operations: ['1+86=87', '88+96=184']
Exploring Operation: 184-87=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[88, 1, 86, 96], Operations: []
Exploring Operation: 1+86=87, Resulting Numbers: [88, 96, 87]
Generated Node #0,1: 97:[88, 96, 87] Operation: 1+86=87
Moving to Node #0,1
Current State: 97:[88, 96, 87], Operations: ['1+86=87']
Exploring Operation: 88+96=184, Resulting Numbers: [87, 184]
Generated Node #0,1,2: 97:[87, 184] Operation: 88+96=184
Moving to Node #0,1,2
Current State: 97:[87, 184], Operations: ['1+86=87', '88+96=184']
Exploring Operation: 184-87=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_3 | mult_heuristic |
[
91,
90,
4,
5
] | 19 | [
"91-90=1",
"4*5=20",
"20-1=19"
] | Current State: 19:[91, 90, 4, 5], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [4, 5, 1]
Generated Node #2: [4, 5, 1] from Operation: 91-90=1
Current State: 19:[4, 5, 1], Operations: ['91-90=1']
Exploring Operation: 4*5=20, Resulting Numbers: [1, 20]
Generated Node #3: [1, 20] from Operation: 4*5=20
Current State: 19:[1, 20], Operations: ['91-90=1', '4*5=20']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[91, 90, 4, 5], Operations: []
Exploring Operation: 4*5=20, Resulting Numbers: [91, 90, 20]
Generated Node #0,0: 19:[91, 90, 20] Operation: 4*5=20
Exploring Operation: 90/5=18, Resulting Numbers: [91, 4, 18]
Generated Node #0,1: 19:[91, 4, 18] Operation: 90/5=18
Exploring Operation: 91-90=1, Resulting Numbers: [4, 5, 1]
Generated Node #0,2: 19:[4, 5, 1] Operation: 91-90=1
Moving to Node #0,2
Current State: 19:[4, 5, 1], Operations: ['91-90=1']
Exploring Operation: 4*5=20, Resulting Numbers: [1, 20]
Generated Node #0,2,0: 19:[1, 20] Operation: 4*5=20
Exploring Operation: 4+1=5, Resulting Numbers: [5, 5]
Generated Node #0,2,1: 19:[5, 5] Operation: 4+1=5
Exploring Operation: 4+5=9, Resulting Numbers: [1, 9]
Generated Node #0,2,2: 19:[1, 9] Operation: 4+5=9
Moving to Node #0,1
Current State: 19:[91, 4, 18], Operations: ['90/5=18']
Exploring Operation: 91-18=73, Resulting Numbers: [4, 73]
Generated Node #0,1,0: 19:[4, 73] Operation: 91-18=73
Exploring Operation: 91-4=87, Resulting Numbers: [18, 87]
Generated Node #0,1,1: 19:[18, 87] Operation: 91-4=87
Exploring Operation: 4+18=22, Resulting Numbers: [91, 22]
Generated Node #0,1,2: 19:[91, 22] Operation: 4+18=22
Moving to Node #0,0
Current State: 19:[91, 90, 20], Operations: ['4*5=20']
Exploring Operation: 91-20=71, Resulting Numbers: [90, 71]
Generated Node #0,0,0: 19:[90, 71] Operation: 91-20=71
Exploring Operation: 91-90=1, Resulting Numbers: [20, 1]
Generated Node #0,0,1: 19:[20, 1] Operation: 91-90=1
Exploring Operation: 90-20=70, Resulting Numbers: [91, 70]
Generated Node #0,0,2: 19:[91, 70] Operation: 90-20=70
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 19:[20, 1], Operations: ['4*5=20', '91-90=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[91, 90, 4, 5], Operations: []
Exploring Operation: 4*5=20, Resulting Numbers: [91, 90, 20]
Generated Node #0,0: 19:[91, 90, 20] Operation: 4*5=20
Moving to Node #0,0
Current State: 19:[91, 90, 20], Operations: ['4*5=20']
Exploring Operation: 91-90=1, Resulting Numbers: [20, 1]
Generated Node #0,0,1: 19:[20, 1] Operation: 91-90=1
Moving to Node #0,0,1
Current State: 19:[20, 1], Operations: ['4*5=20', '91-90=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
86,
49,
58,
7
] | 88 | [
"86-49=37",
"58-7=51",
"37+51=88"
] | Current State: 88:[86, 49, 58, 7], Operations: []
Exploring Operation: 86-49=37, Resulting Numbers: [58, 7, 37]
Generated Node #2: [58, 7, 37] from Operation: 86-49=37
Current State: 88:[58, 7, 37], Operations: ['86-49=37']
Exploring Operation: 58-7=51, Resulting Numbers: [37, 51]
Generated Node #3: [37, 51] from Operation: 58-7=51
Current State: 88:[37, 51], Operations: ['86-49=37', '58-7=51']
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[86, 49, 58, 7], Operations: []
Exploring Operation: 86-58=28, Resulting Numbers: [49, 7, 28]
Generated Node #0,0: 88:[49, 7, 28] Operation: 86-58=28
Exploring Operation: 49-7=42, Resulting Numbers: [86, 58, 42]
Generated Node #0,1: 88:[86, 58, 42] Operation: 49-7=42
Exploring Operation: 58-7=51, Resulting Numbers: [86, 49, 51]
Generated Node #0,2: 88:[86, 49, 51] Operation: 58-7=51
Exploring Operation: 58-49=9, Resulting Numbers: [86, 7, 9]
Generated Node #0,3: 88:[86, 7, 9] Operation: 58-49=9
Exploring Operation: 49/7=7, Resulting Numbers: [86, 58, 7]
Generated Node #0,4: 88:[86, 58, 7] Operation: 49/7=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 88:[86, 7, 9], Operations: ['58-49=9']
Exploring Operation: 86+9=95, Resulting Numbers: [7, 95]
Generated Node #0,3,0: 88:[7, 95] Operation: 86+9=95
Exploring Operation: 7+9=16, Resulting Numbers: [86, 16]
Generated Node #0,3,1: 88:[86, 16] Operation: 7+9=16
Exploring Operation: 86+7=93, Resulting Numbers: [9, 93]
Generated Node #0,3,2: 88:[9, 93] Operation: 86+7=93
Exploring Operation: 9-7=2, Resulting Numbers: [86, 2]
Generated Node #0,3,3: 88:[86, 2] Operation: 9-7=2
Exploring Operation: 86-7=79, Resulting Numbers: [9, 79]
Generated Node #0,3,4: 88:[9, 79] Operation: 86-7=79
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 88:[86, 2], Operations: ['58-49=9', '9-7=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,88 unequal: No Solution
Exploring Operation: 86*2=172, Resulting Numbers: [172]
172,88 unequal: No Solution
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[86, 49, 58, 7], Operations: []
Exploring Operation: 58-49=9, Resulting Numbers: [86, 7, 9]
Generated Node #0,3: 88:[86, 7, 9] Operation: 58-49=9
Moving to Node #0,3
Current State: 88:[86, 7, 9], Operations: ['58-49=9']
Exploring Operation: 9-7=2, Resulting Numbers: [86, 2]
Generated Node #0,3,3: 88:[86, 2] Operation: 9-7=2
Moving to Node #0,3,3
Current State: 88:[86, 2], Operations: ['58-49=9', '9-7=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
74,
1,
4,
55
] | 24 | [
"74+1=75",
"55-4=51",
"75-51=24"
] | Current State: 24:[74, 1, 4, 55], Operations: []
Exploring Operation: 74+1=75, Resulting Numbers: [4, 55, 75]
Generated Node #2: [4, 55, 75] from Operation: 74+1=75
Current State: 24:[4, 55, 75], Operations: ['74+1=75']
Exploring Operation: 55-4=51, Resulting Numbers: [75, 51]
Generated Node #3: [75, 51] from Operation: 55-4=51
Current State: 24:[75, 51], Operations: ['74+1=75', '55-4=51']
Exploring Operation: 75-51=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[74, 1, 4, 55], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [1, 4, 19]
Generated Node #0,0: 24:[1, 4, 19] Operation: 74-55=19
Exploring Operation: 74-4=70, Resulting Numbers: [1, 55, 70]
Generated Node #0,1: 24:[1, 55, 70] Operation: 74-4=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[1, 4, 19], Operations: ['74-55=19']
Exploring Operation: 4+19=23, Resulting Numbers: [1, 23]
Generated Node #0,0,0: 24:[1, 23] Operation: 4+19=23
Exploring Operation: 1+19=20, Resulting Numbers: [4, 20]
Generated Node #0,0,1: 24:[4, 20] Operation: 1+19=20
Moving to Node #0,0,0
Current State: 24:[1, 23], Operations: ['74-55=19', '4+19=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[74, 1, 4, 55], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [1, 4, 19]
Generated Node #0,0: 24:[1, 4, 19] Operation: 74-55=19
Moving to Node #0,0
Current State: 24:[1, 4, 19], Operations: ['74-55=19']
Exploring Operation: 4+19=23, Resulting Numbers: [1, 23]
Generated Node #0,0,0: 24:[1, 23] Operation: 4+19=23
Moving to Node #0,0,0
Current State: 24:[1, 23], Operations: ['74-55=19', '4+19=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
32,
92,
25,
92
] | 57 | [
"32+92=124",
"92-25=67",
"124-67=57"
] | Current State: 57:[32, 92, 25, 92], Operations: []
Exploring Operation: 32+92=124, Resulting Numbers: [25, 124]
Generated Node #2: [25, 124] from Operation: 32+92=124
Current State: 57:[25, 124], Operations: ['32+92=124']
Exploring Operation: 92-25=67, Resulting Numbers: [124, 67]
Generated Node #3: [124, 67] from Operation: 92-25=67
Current State: 57:[124, 67], Operations: ['32+92=124', '92-25=67']
Exploring Operation: 124-67=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[32, 92, 25, 92], Operations: []
Exploring Operation: 92-32=60, Resulting Numbers: [25, 92, 60]
Generated Node #0,0: 57:[25, 92, 60] Operation: 92-32=60
Exploring Operation: 92-32=60, Resulting Numbers: [92, 25, 60]
Generated Node #0,1: 57:[92, 25, 60] Operation: 92-32=60
Exploring Operation: 92-25=67, Resulting Numbers: [32, 92, 67]
Generated Node #0,2: 57:[32, 92, 67] Operation: 92-25=67
Exploring Operation: 92-92=0, Resulting Numbers: [32, 25, 0]
Generated Node #0,3: 57:[32, 25, 0] Operation: 92-92=0
Exploring Operation: 92/92=1, Resulting Numbers: [32, 25, 1]
Generated Node #0,4: 57:[32, 25, 1] Operation: 92/92=1
Moving to Node #0,4
Current State: 57:[32, 25, 1], Operations: ['92/92=1']
Exploring Operation: 25-1=24, Resulting Numbers: [32, 24]
Generated Node #0,4,0: 57:[32, 24] Operation: 25-1=24
Exploring Operation: 32-25=7, Resulting Numbers: [1, 7]
Generated Node #0,4,1: 57:[1, 7] Operation: 32-25=7
Exploring Operation: 32*1=32, Resulting Numbers: [25, 32]
Generated Node #0,4,2: 57:[25, 32] Operation: 32*1=32
Exploring Operation: 32+25=57, Resulting Numbers: [1, 57]
Generated Node #0,4,3: 57:[1, 57] Operation: 32+25=57
Exploring Operation: 32-1=31, Resulting Numbers: [25, 31]
Generated Node #0,4,4: 57:[25, 31] Operation: 32-1=31
Moving to Node #0,3
Current State: 57:[32, 25, 0], Operations: ['92-92=0']
Exploring Operation: 32-25=7, Resulting Numbers: [0, 7]
Generated Node #0,3,0: 57:[0, 7] Operation: 32-25=7
Exploring Operation: 32*0=0, Resulting Numbers: [25, 0]
Generated Node #0,3,1: 57:[25, 0] Operation: 32*0=0
Exploring Operation: 32+0=32, Resulting Numbers: [25, 32]
Generated Node #0,3,2: 57:[25, 32] Operation: 32+0=32
Exploring Operation: 25*0=0, Resulting Numbers: [32, 0]
Generated Node #0,3,3: 57:[32, 0] Operation: 25*0=0
Exploring Operation: 32+25=57, Resulting Numbers: [0, 57]
Generated Node #0,3,4: 57:[0, 57] Operation: 32+25=57
Moving to Node #0,0
Current State: 57:[25, 92, 60], Operations: ['92-32=60']
Exploring Operation: 92-25=67, Resulting Numbers: [60, 67]
Generated Node #0,0,0: 57:[60, 67] Operation: 92-25=67
Exploring Operation: 25+60=85, Resulting Numbers: [92, 85]
Generated Node #0,0,1: 57:[92, 85] Operation: 25+60=85
Exploring Operation: 92-60=32, Resulting Numbers: [25, 32]
Generated Node #0,0,2: 57:[25, 32] Operation: 92-60=32
Exploring Operation: 60-25=35, Resulting Numbers: [92, 35]
Generated Node #0,0,3: 57:[92, 35] Operation: 60-25=35
Exploring Operation: 25+92=117, Resulting Numbers: [60, 117]
Generated Node #0,0,4: 57:[60, 117] Operation: 25+92=117
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[60, 67], Operations: ['92-32=60', '92-25=67']
Exploring Operation: 60*67=4020, Resulting Numbers: [4020]
4020,57 unequal: No Solution
Exploring Operation: 67-60=7, Resulting Numbers: [7]
7,57 unequal: No Solution
Exploring Operation: 60+67=127, Resulting Numbers: [127]
127,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 57:[25, 32], Operations: ['92-32=60', '92-60=32']
Exploring Operation: 25*32=800, Resulting Numbers: [800]
800,57 unequal: No Solution
Exploring Operation: 25+32=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[32, 92, 25, 92], Operations: []
Exploring Operation: 92-32=60, Resulting Numbers: [25, 92, 60]
Generated Node #0,0: 57:[25, 92, 60] Operation: 92-32=60
Moving to Node #0,0
Current State: 57:[25, 92, 60], Operations: ['92-32=60']
Exploring Operation: 92-60=32, Resulting Numbers: [25, 32]
Generated Node #0,0,2: 57:[25, 32] Operation: 92-60=32
Moving to Node #0,0,2
Current State: 57:[25, 32], Operations: ['92-32=60', '92-60=32']
Exploring Operation: 25+32=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_5 | sum_heuristic |
[
55,
25,
50,
17
] | 63 | [
"55-25=30",
"50-17=33",
"30+33=63"
] | Current State: 63:[55, 25, 50, 17], Operations: []
Exploring Operation: 55-25=30, Resulting Numbers: [50, 17, 30]
Generated Node #2: [50, 17, 30] from Operation: 55-25=30
Current State: 63:[50, 17, 30], Operations: ['55-25=30']
Exploring Operation: 50-17=33, Resulting Numbers: [30, 33]
Generated Node #3: [30, 33] from Operation: 50-17=33
Current State: 63:[30, 33], Operations: ['55-25=30', '50-17=33']
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[55, 25, 50, 17], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [25, 17, 5]
Generated Node #0,0: 63:[25, 17, 5] Operation: 55-50=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[25, 17, 5], Operations: ['55-50=5']
Exploring Operation: 25-17=8, Resulting Numbers: [5, 8]
Generated Node #0,0,0: 63:[5, 8] Operation: 25-17=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[5, 8], Operations: ['55-50=5', '25-17=8']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,63 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 |
[
46,
37,
67,
2
] | 39 | [
"46+67=113",
"37*2=74",
"113-74=39"
] | Current State: 39:[46, 37, 67, 2], Operations: []
Exploring Operation: 46+67=113, Resulting Numbers: [37, 2, 113]
Generated Node #2: [37, 2, 113] from Operation: 46+67=113
Current State: 39:[37, 2, 113], Operations: ['46+67=113']
Exploring Operation: 37*2=74, Resulting Numbers: [113, 74]
Generated Node #3: [113, 74] from Operation: 37*2=74
Current State: 39:[113, 74], Operations: ['46+67=113', '37*2=74']
Exploring Operation: 113-74=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[46, 37, 67, 2], Operations: []
Exploring Operation: 46-2=44, Resulting Numbers: [37, 67, 44]
Generated Node #0,0: 39:[37, 67, 44] Operation: 46-2=44
Exploring Operation: 67-37=30, Resulting Numbers: [46, 2, 30]
Generated Node #0,1: 39:[46, 2, 30] Operation: 67-37=30
Exploring Operation: 46-37=9, Resulting Numbers: [67, 2, 9]
Generated Node #0,2: 39:[67, 2, 9] Operation: 46-37=9
Exploring Operation: 67-46=21, Resulting Numbers: [37, 2, 21]
Generated Node #0,3: 39:[37, 2, 21] Operation: 67-46=21
Start Sub Search at level 1: Moving to Node #0,3
Current State: 39:[37, 2, 21], Operations: ['67-46=21']
Exploring Operation: 21-2=19, Resulting Numbers: [37, 19]
Generated Node #0,3,0: 39:[37, 19] Operation: 21-2=19
Exploring Operation: 37+2=39, Resulting Numbers: [21, 39]
Generated Node #0,3,1: 39:[21, 39] Operation: 37+2=39
Exploring Operation: 2*21=42, Resulting Numbers: [37, 42]
Generated Node #0,3,2: 39:[37, 42] Operation: 2*21=42
Exploring Operation: 37-21=16, Resulting Numbers: [2, 16]
Generated Node #0,3,3: 39:[2, 16] Operation: 37-21=16
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 39:[2, 16], Operations: ['67-46=21', '37-21=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,39 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 #0,3,2
Current State: 39:[37, 42], Operations: ['67-46=21', '2*21=42']
Exploring Operation: 42-37=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 37+42=79, Resulting Numbers: [79]
79,39 unequal: No Solution
Exploring Operation: 37*42=1554, Resulting Numbers: [1554]
1554,39 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 #0,3,0
Current State: 39:[37, 19], Operations: ['67-46=21', '21-2=19']
Exploring Operation: 37*19=703, Resulting Numbers: [703]
703,39 unequal: No Solution
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Exploring Operation: 37+19=56, Resulting Numbers: [56]
56,39 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 #0,3,1
Current State: 39:[21, 39], Operations: ['67-46=21', '37+2=39']
Exploring Operation: 21*39=819, Resulting Numbers: [819]
819,39 unequal: No Solution
Exploring Operation: 21+39=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,39 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 #0,1
Current State: 39:[46, 2, 30], Operations: ['67-37=30']
Exploring Operation: 2+30=32, Resulting Numbers: [46, 32]
Generated Node #0,1,0: 39:[46, 32] Operation: 2+30=32
Exploring Operation: 46-2=44, Resulting Numbers: [30, 44]
Generated Node #0,1,1: 39:[30, 44] Operation: 46-2=44
Exploring Operation: 30/2=15, Resulting Numbers: [46, 15]
Generated Node #0,1,2: 39:[46, 15] Operation: 30/2=15
Exploring Operation: 46-30=16, Resulting Numbers: [2, 16]
Generated Node #0,1,3: 39:[2, 16] Operation: 46-30=16
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 39:[2, 16], Operations: ['67-37=30', '46-30=16']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,39 unequal: No Solution
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,39 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:[46, 15], Operations: ['67-37=30', '30/2=15']
Exploring Operation: 46+15=61, Resulting Numbers: [61]
61,39 unequal: No Solution
Exploring Operation: 46*15=690, Resulting Numbers: [690]
690,39 unequal: No Solution
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,39 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:[46, 32], Operations: ['67-37=30', '2+30=32']
Exploring Operation: 46+32=78, Resulting Numbers: [78]
78,39 unequal: No Solution
Exploring Operation: 46-32=14, Resulting Numbers: [14]
14,39 unequal: No Solution
Exploring Operation: 46*32=1472, Resulting Numbers: [1472]
1472,39 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:[30, 44], Operations: ['67-37=30', '46-2=44']
Exploring Operation: 30+44=74, Resulting Numbers: [74]
74,39 unequal: No Solution
Exploring Operation: 30*44=1320, Resulting Numbers: [1320]
1320,39 unequal: No Solution
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,39 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, 9], Operations: ['46-37=9']
Exploring Operation: 67-2=65, Resulting Numbers: [9, 65]
Generated Node #0,2,0: 39:[9, 65] Operation: 67-2=65
Exploring Operation: 67-9=58, Resulting Numbers: [2, 58]
Generated Node #0,2,1: 39:[2, 58] Operation: 67-9=58
Exploring Operation: 9-2=7, Resulting Numbers: [67, 7]
Generated Node #0,2,2: 39:[67, 7] Operation: 9-2=7
Exploring Operation: 2+9=11, Resulting Numbers: [67, 11]
Generated Node #0,2,3: 39:[67, 11] Operation: 2+9=11
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 39:[2, 58], Operations: ['46-37=9', '67-9=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,39 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,39 unequal: No Solution
Exploring Operation: 2*58=116, Resulting Numbers: [116]
116,39 unequal: No Solution
Exploring Operation: 2+58=60, Resulting Numbers: [60]
60,39 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 #0,2,0
Current State: 39:[9, 65], Operations: ['46-37=9', '67-2=65']
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,39 unequal: No Solution
Exploring Operation: 9*65=585, Resulting Numbers: [585]
585,39 unequal: No Solution
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,39 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 #0,2,3
Current State: 39:[67, 11], Operations: ['46-37=9', '2+9=11']
Exploring Operation: 67*11=737, Resulting Numbers: [737]
737,39 unequal: No Solution
Exploring Operation: 67+11=78, Resulting Numbers: [78]
78,39 unequal: No Solution
Exploring Operation: 67-11=56, Resulting Numbers: [56]
56,39 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 #0,2,2
Current State: 39:[67, 7], Operations: ['46-37=9', '9-2=7']
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,39 unequal: No Solution
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,39 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,39 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 #0,0
Current State: 39:[37, 67, 44], Operations: ['46-2=44']
Exploring Operation: 67-37=30, Resulting Numbers: [44, 30]
Generated Node #0,0,0: 39:[44, 30] Operation: 67-37=30
Exploring Operation: 37+67=104, Resulting Numbers: [44, 104]
Generated Node #0,0,1: 39:[44, 104] Operation: 37+67=104
Exploring Operation: 67-44=23, Resulting Numbers: [37, 23]
Generated Node #0,0,2: 39:[37, 23] Operation: 67-44=23
Exploring Operation: 44-37=7, Resulting Numbers: [67, 7]
Generated Node #0,0,3: 39:[67, 7] Operation: 44-37=7
Moving to Node #0,0,2
Current State: 39:[37, 23], Operations: ['46-2=44', '67-44=23']
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,39 unequal: No Solution
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 37*23=851, Resulting Numbers: [851]
851,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[44, 30], Operations: ['46-2=44', '67-37=30']
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,39 unequal: No Solution
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,39 unequal: No Solution
Exploring Operation: 44*30=1320, Resulting Numbers: [1320]
1320,39 unequal: No Solution
Moving to Node #0,0,3
Current State: 39:[67, 7], Operations: ['46-2=44', '44-37=7']
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,39 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[44, 104], Operations: ['46-2=44', '37+67=104']
Exploring Operation: 44*104=4576, Resulting Numbers: [4576]
4576,39 unequal: No Solution
Exploring Operation: 104-44=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 44+104=148, Resulting Numbers: [148]
148,39 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 |
[
63,
34,
2,
79
] | 42 | [
"79-63=16",
"16/2=8",
"34+8=42"
] | Current State: 42:[63, 34, 2, 79], Operations: []
Exploring Operation: 79-63=16, Resulting Numbers: [34, 2, 16]
Generated Node #2: [34, 2, 16] from Operation: 79-63=16
Current State: 42:[34, 2, 16], Operations: ['79-63=16']
Exploring Operation: 16/2=8, Resulting Numbers: [34, 8]
Generated Node #3: [34, 8] from Operation: 16/2=8
Current State: 42:[34, 8], Operations: ['79-63=16', '16/2=8']
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[63, 34, 2, 79], Operations: []
Exploring Operation: 79-63=16, Resulting Numbers: [34, 2, 16]
Generated Node #0,0: 42:[34, 2, 16] Operation: 79-63=16
Exploring Operation: 79-34=45, Resulting Numbers: [63, 2, 45]
Generated Node #0,1: 42:[63, 2, 45] Operation: 79-34=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[34, 2, 16], Operations: ['79-63=16']
Exploring Operation: 34/2=17, Resulting Numbers: [16, 17]
Generated Node #0,0,0: 42:[16, 17] Operation: 34/2=17
Exploring Operation: 34-16=18, Resulting Numbers: [2, 18]
Generated Node #0,0,1: 42:[2, 18] Operation: 34-16=18
Moving to Node #0,0,1
Current State: 42:[2, 18], Operations: ['79-63=16', '34-16=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,42 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[16, 17], Operations: ['79-63=16', '34/2=17']
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,42 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 #0,1
Current State: 42:[63, 2, 45], Operations: ['79-34=45']
Exploring Operation: 63-45=18, Resulting Numbers: [2, 18]
Generated Node #0,1,0: 42:[2, 18] Operation: 63-45=18
Exploring Operation: 63-2=61, Resulting Numbers: [45, 61]
Generated Node #0,1,1: 42:[45, 61] Operation: 63-2=61
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 42:[2, 18], Operations: ['79-34=45', '63-45=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,42 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 42:[45, 61], Operations: ['79-34=45', '63-2=61']
Exploring Operation: 61-45=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Exploring Operation: 45+61=106, Resulting Numbers: [106]
106,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
99,
99,
78,
57
] | 21 | [
"99-99=0",
"78-57=21",
"0+21=21"
] | Current State: 21:[99, 99, 78, 57], Operations: []
Exploring Operation: 99-99=0, Resulting Numbers: [78, 57, 0]
Generated Node #2: [78, 57, 0] from Operation: 99-99=0
Current State: 21:[78, 57, 0], Operations: ['99-99=0']
Exploring Operation: 78-57=21, Resulting Numbers: [0, 21]
Generated Node #3: [0, 21] from Operation: 78-57=21
Current State: 21:[0, 21], Operations: ['99-99=0', '78-57=21']
Exploring Operation: 0+21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[99, 99, 78, 57], Operations: []
Exploring Operation: 99-99=0, Resulting Numbers: [78, 57, 0]
Generated Node #0,0: 21:[78, 57, 0] Operation: 99-99=0
Exploring Operation: 99/99=1, Resulting Numbers: [78, 57, 1]
Generated Node #0,1: 21:[78, 57, 1] Operation: 99/99=1
Moving to Node #0,1
Current State: 21:[78, 57, 1], Operations: ['99/99=1']
Exploring Operation: 78-57=21, Resulting Numbers: [1, 21]
Generated Node #0,1,0: 21:[1, 21] Operation: 78-57=21
Exploring Operation: 78-1=77, Resulting Numbers: [57, 77]
Generated Node #0,1,1: 21:[57, 77] Operation: 78-1=77
Moving to Node #0,0
Current State: 21:[78, 57, 0], Operations: ['99-99=0']
Exploring Operation: 78*0=0, Resulting Numbers: [57, 0]
Generated Node #0,0,0: 21:[57, 0] Operation: 78*0=0
Exploring Operation: 78-57=21, Resulting Numbers: [0, 21]
Generated Node #0,0,1: 21:[0, 21] Operation: 78-57=21
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 21:[0, 21], Operations: ['99-99=0', '78-57=21']
Exploring Operation: 0+21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[99, 99, 78, 57], Operations: []
Exploring Operation: 99-99=0, Resulting Numbers: [78, 57, 0]
Generated Node #0,0: 21:[78, 57, 0] Operation: 99-99=0
Moving to Node #0,0
Current State: 21:[78, 57, 0], Operations: ['99-99=0']
Exploring Operation: 78-57=21, Resulting Numbers: [0, 21]
Generated Node #0,0,1: 21:[0, 21] Operation: 78-57=21
Moving to Node #0,0,1
Current State: 21:[0, 21], Operations: ['99-99=0', '78-57=21']
Exploring Operation: 0+21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
44,
90,
18,
45
] | 18 | [
"90-44=46",
"46-45=1",
"18*1=18"
] | Current State: 18:[44, 90, 18, 45], Operations: []
Exploring Operation: 90-44=46, Resulting Numbers: [18, 45, 46]
Generated Node #2: [18, 45, 46] from Operation: 90-44=46
Current State: 18:[18, 45, 46], Operations: ['90-44=46']
Exploring Operation: 46-45=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 46-45=1
Current State: 18:[18, 1], Operations: ['90-44=46', '46-45=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[44, 90, 18, 45], Operations: []
Exploring Operation: 90-44=46, Resulting Numbers: [18, 45, 46]
Generated Node #0,0: 18:[18, 45, 46] Operation: 90-44=46
Exploring Operation: 90/45=2, Resulting Numbers: [44, 18, 2]
Generated Node #0,1: 18:[44, 18, 2] Operation: 90/45=2
Exploring Operation: 90-45=45, Resulting Numbers: [44, 18, 45]
Generated Node #0,2: 18:[44, 18, 45] Operation: 90-45=45
Exploring Operation: 90/18=5, Resulting Numbers: [44, 45, 5]
Generated Node #0,3: 18:[44, 45, 5] Operation: 90/18=5
Moving to Node #0,1
Current State: 18:[44, 18, 2], Operations: ['90/45=2']
Exploring Operation: 44-18=26, Resulting Numbers: [2, 26]
Generated Node #0,1,0: 18:[2, 26] Operation: 44-18=26
Exploring Operation: 44-2=42, Resulting Numbers: [18, 42]
Generated Node #0,1,1: 18:[18, 42] Operation: 44-2=42
Exploring Operation: 44/2=22, Resulting Numbers: [18, 22]
Generated Node #0,1,2: 18:[18, 22] Operation: 44/2=22
Exploring Operation: 18/2=9, Resulting Numbers: [44, 9]
Generated Node #0,1,3: 18:[44, 9] Operation: 18/2=9
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 18:[18, 22], Operations: ['90/45=2', '44/2=22']
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,18 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 18*22=396, Resulting Numbers: [396]
396,18 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:[2, 26], Operations: ['90/45=2', '44-18=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,18 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,18 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,18 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[18, 42], Operations: ['90/45=2', '44-2=42']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 18*42=756, Resulting Numbers: [756]
756,18 unequal: No Solution
Exploring Operation: 18+42=60, Resulting Numbers: [60]
60,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 18:[44, 9], Operations: ['90/45=2', '18/2=9']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,18 unequal: No Solution
Exploring Operation: 44*9=396, Resulting Numbers: [396]
396,18 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: 18:[44, 18, 45], Operations: ['90-45=45']
Exploring Operation: 44+18=62, Resulting Numbers: [45, 62]
Generated Node #0,2,0: 18:[45, 62] Operation: 44+18=62
Exploring Operation: 44-18=26, Resulting Numbers: [45, 26]
Generated Node #0,2,1: 18:[45, 26] Operation: 44-18=26
Exploring Operation: 45-44=1, Resulting Numbers: [18, 1]
Generated Node #0,2,2: 18:[18, 1] Operation: 45-44=1
Exploring Operation: 45-18=27, Resulting Numbers: [44, 27]
Generated Node #0,2,3: 18:[44, 27] Operation: 45-18=27
Moving to Node #0,3
Current State: 18:[44, 45, 5], Operations: ['90/18=5']
Exploring Operation: 45/5=9, Resulting Numbers: [44, 9]
Generated Node #0,3,0: 18:[44, 9] Operation: 45/5=9
Exploring Operation: 44-5=39, Resulting Numbers: [45, 39]
Generated Node #0,3,1: 18:[45, 39] Operation: 44-5=39
Exploring Operation: 45-5=40, Resulting Numbers: [44, 40]
Generated Node #0,3,2: 18:[44, 40] Operation: 45-5=40
Exploring Operation: 45-44=1, Resulting Numbers: [5, 1]
Generated Node #0,3,3: 18:[5, 1] Operation: 45-44=1
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 18:[5, 1], Operations: ['90/18=5', '45-44=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 18:[44, 9], Operations: ['90/18=5', '45/5=9']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,18 unequal: No Solution
Exploring Operation: 44*9=396, Resulting Numbers: [396]
396,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 18:[45, 39], Operations: ['90/18=5', '44-5=39']
Exploring Operation: 45*39=1755, Resulting Numbers: [1755]
1755,18 unequal: No Solution
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 18:[44, 40], Operations: ['90/18=5', '45-5=40']
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,18 unequal: No Solution
Exploring Operation: 44*40=1760, Resulting Numbers: [1760]
1760,18 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: 18:[18, 45, 46], Operations: ['90-44=46']
Exploring Operation: 46-45=1, Resulting Numbers: [18, 1]
Generated Node #0,0,0: 18:[18, 1] Operation: 46-45=1
Exploring Operation: 46-18=28, Resulting Numbers: [45, 28]
Generated Node #0,0,1: 18:[45, 28] Operation: 46-18=28
Exploring Operation: 18+45=63, Resulting Numbers: [46, 63]
Generated Node #0,0,2: 18:[46, 63] Operation: 18+45=63
Exploring Operation: 45-18=27, Resulting Numbers: [46, 27]
Generated Node #0,0,3: 18:[46, 27] Operation: 45-18=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[18, 1], Operations: ['90-44=46', '46-45=1']
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[44, 90, 18, 45], Operations: []
Exploring Operation: 90-44=46, Resulting Numbers: [18, 45, 46]
Generated Node #0,0: 18:[18, 45, 46] Operation: 90-44=46
Moving to Node #0,0
Current State: 18:[18, 45, 46], Operations: ['90-44=46']
Exploring Operation: 46-45=1, Resulting Numbers: [18, 1]
Generated Node #0,0,0: 18:[18, 1] Operation: 46-45=1
Moving to Node #0,0,0
Current State: 18:[18, 1], Operations: ['90-44=46', '46-45=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.953993 | hs_4 | mult_heuristic |
[
89,
2,
68,
90
] | 34 | [
"90-89=1",
"68/2=34",
"1*34=34"
] | Current State: 34:[89, 2, 68, 90], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [2, 68, 1]
Generated Node #2: [2, 68, 1] from Operation: 90-89=1
Current State: 34:[2, 68, 1], Operations: ['90-89=1']
Exploring Operation: 68/2=34, Resulting Numbers: [1, 34]
Generated Node #3: [1, 34] from Operation: 68/2=34
Current State: 34:[1, 34], Operations: ['90-89=1', '68/2=34']
Exploring Operation: 1*34=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[89, 2, 68, 90], Operations: []
Exploring Operation: 90-68=22, Resulting Numbers: [89, 2, 22]
Generated Node #0,0: 34:[89, 2, 22] Operation: 90-68=22
Exploring Operation: 89-68=21, Resulting Numbers: [2, 90, 21]
Generated Node #0,1: 34:[2, 90, 21] Operation: 89-68=21
Exploring Operation: 90-89=1, Resulting Numbers: [2, 68, 1]
Generated Node #0,2: 34:[2, 68, 1] Operation: 90-89=1
Moving to Node #0,2
Current State: 34:[2, 68, 1], Operations: ['90-89=1']
Exploring Operation: 68-2=66, Resulting Numbers: [1, 66]
Generated Node #0,2,0: 34:[1, 66] Operation: 68-2=66
Exploring Operation: 68-1=67, Resulting Numbers: [2, 67]
Generated Node #0,2,1: 34:[2, 67] Operation: 68-1=67
Exploring Operation: 68/2=34, Resulting Numbers: [1, 34]
Generated Node #0,2,2: 34:[1, 34] Operation: 68/2=34
Moving to Node #0,0
Current State: 34:[89, 2, 22], Operations: ['90-68=22']
Exploring Operation: 22-2=20, Resulting Numbers: [89, 20]
Generated Node #0,0,0: 34:[89, 20] Operation: 22-2=20
Exploring Operation: 89-22=67, Resulting Numbers: [2, 67]
Generated Node #0,0,1: 34:[2, 67] Operation: 89-22=67
Exploring Operation: 89-2=87, Resulting Numbers: [22, 87]
Generated Node #0,0,2: 34:[22, 87] Operation: 89-2=87
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 34:[2, 67], Operations: ['90-68=22', '89-22=67']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,34 unequal: No Solution
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,34 unequal: No Solution
Exploring Operation: 2*67=134, Resulting Numbers: [134]
134,34 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:[89, 20], Operations: ['90-68=22', '22-2=20']
Exploring Operation: 89-20=69, Resulting Numbers: [69]
69,34 unequal: No Solution
Exploring Operation: 89+20=109, Resulting Numbers: [109]
109,34 unequal: No Solution
Exploring Operation: 89*20=1780, Resulting Numbers: [1780]
1780,34 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 #0,0,2
Current State: 34:[22, 87], Operations: ['90-68=22', '89-2=87']
Exploring Operation: 22+87=109, Resulting Numbers: [109]
109,34 unequal: No Solution
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,34 unequal: No Solution
Exploring Operation: 22*87=1914, Resulting Numbers: [1914]
1914,34 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:[2, 90, 21], Operations: ['89-68=21']
Exploring Operation: 90-21=69, Resulting Numbers: [2, 69]
Generated Node #0,1,0: 34:[2, 69] Operation: 90-21=69
Exploring Operation: 90/2=45, Resulting Numbers: [21, 45]
Generated Node #0,1,1: 34:[21, 45] Operation: 90/2=45
Exploring Operation: 90-2=88, Resulting Numbers: [21, 88]
Generated Node #0,1,2: 34:[21, 88] Operation: 90-2=88
Moving to Node #0,2,2
Current State: 34:[1, 34], Operations: ['90-89=1', '68/2=34']
Exploring Operation: 1+34=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[89, 2, 68, 90], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [2, 68, 1]
Generated Node #0,2: 34:[2, 68, 1] Operation: 90-89=1
Moving to Node #0,2
Current State: 34:[2, 68, 1], Operations: ['90-89=1']
Exploring Operation: 68/2=34, Resulting Numbers: [1, 34]
Generated Node #0,2,2: 34:[1, 34] Operation: 68/2=34
Moving to Node #0,2,2
Current State: 34:[1, 34], Operations: ['90-89=1', '68/2=34']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.976563 | hs_3 | sum_heuristic |
[
6,
68,
53,
61
] | 40 | [
"6+68=74",
"53+61=114",
"114-74=40"
] | Current State: 40:[6, 68, 53, 61], Operations: []
Exploring Operation: 6+68=74, Resulting Numbers: [53, 61, 74]
Generated Node #2: [53, 61, 74] from Operation: 6+68=74
Current State: 40:[53, 61, 74], Operations: ['6+68=74']
Exploring Operation: 53+61=114, Resulting Numbers: [74, 114]
Generated Node #3: [74, 114] from Operation: 53+61=114
Current State: 40:[74, 114], Operations: ['6+68=74', '53+61=114']
Exploring Operation: 114-74=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[6, 68, 53, 61], Operations: []
Exploring Operation: 68-6=62, Resulting Numbers: [53, 61, 62]
Generated Node #0,0: 40:[53, 61, 62] Operation: 68-6=62
Exploring Operation: 68-61=7, Resulting Numbers: [6, 53, 7]
Generated Node #0,1: 40:[6, 53, 7] Operation: 68-61=7
Exploring Operation: 68-53=15, Resulting Numbers: [6, 61, 15]
Generated Node #0,2: 40:[6, 61, 15] Operation: 68-53=15
Exploring Operation: 61-53=8, Resulting Numbers: [6, 68, 8]
Generated Node #0,3: 40:[6, 68, 8] Operation: 61-53=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[6, 53, 7], Operations: ['68-61=7']
Exploring Operation: 6*7=42, Resulting Numbers: [53, 42]
Generated Node #0,1,0: 40:[53, 42] Operation: 6*7=42
Exploring Operation: 53-7=46, Resulting Numbers: [6, 46]
Generated Node #0,1,1: 40:[6, 46] Operation: 53-7=46
Exploring Operation: 53-6=47, Resulting Numbers: [7, 47]
Generated Node #0,1,2: 40:[7, 47] Operation: 53-6=47
Exploring Operation: 7-6=1, Resulting Numbers: [53, 1]
Generated Node #0,1,3: 40:[53, 1] Operation: 7-6=1
Moving to Node #0,1,1
Current State: 40:[6, 46], Operations: ['68-61=7', '53-7=46']
Exploring Operation: 6+46=52, Resulting Numbers: [52]
52,40 unequal: No Solution
Exploring Operation: 6*46=276, Resulting Numbers: [276]
276,40 unequal: No Solution
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[6, 68, 53, 61], Operations: []
Exploring Operation: 68-61=7, Resulting Numbers: [6, 53, 7]
Generated Node #0,1: 40:[6, 53, 7] Operation: 68-61=7
Moving to Node #0,1
Current State: 40:[6, 53, 7], Operations: ['68-61=7']
Exploring Operation: 53-7=46, Resulting Numbers: [6, 46]
Generated Node #0,1,1: 40:[6, 46] Operation: 53-7=46
Moving to Node #0,1,1
Current State: 40:[6, 46], Operations: ['68-61=7', '53-7=46']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
97,
12,
92,
10
] | 89 | [
"92-12=80",
"80/10=8",
"97-8=89"
] | Current State: 89:[97, 12, 92, 10], Operations: []
Exploring Operation: 92-12=80, Resulting Numbers: [97, 10, 80]
Generated Node #2: [97, 10, 80] from Operation: 92-12=80
Current State: 89:[97, 10, 80], Operations: ['92-12=80']
Exploring Operation: 80/10=8, Resulting Numbers: [97, 8]
Generated Node #3: [97, 8] from Operation: 80/10=8
Current State: 89:[97, 8], Operations: ['92-12=80', '80/10=8']
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[97, 12, 92, 10], Operations: []
Exploring Operation: 97-10=87, Resulting Numbers: [12, 92, 87]
Generated Node #0,0: 89:[12, 92, 87] Operation: 97-10=87
Exploring Operation: 12+10=22, Resulting Numbers: [97, 92, 22]
Generated Node #0,1: 89:[97, 92, 22] Operation: 12+10=22
Exploring Operation: 92-10=82, Resulting Numbers: [97, 12, 82]
Generated Node #0,2: 89:[97, 12, 82] Operation: 92-10=82
Exploring Operation: 97-12=85, Resulting Numbers: [92, 10, 85]
Generated Node #0,3: 89:[92, 10, 85] Operation: 97-12=85
Exploring Operation: 12*10=120, Resulting Numbers: [97, 92, 120]
Generated Node #0,4: 89:[97, 92, 120] Operation: 12*10=120
Start Sub Search at level 1: Moving to Node #0,4
Current State: 89:[97, 92, 120], Operations: ['12*10=120']
Exploring Operation: 120-92=28, Resulting Numbers: [97, 28]
Generated Node #0,4,0: 89:[97, 28] Operation: 120-92=28
Exploring Operation: 97-92=5, Resulting Numbers: [120, 5]
Generated Node #0,4,1: 89:[120, 5] Operation: 97-92=5
Exploring Operation: 97+120=217, Resulting Numbers: [92, 217]
Generated Node #0,4,2: 89:[92, 217] Operation: 97+120=217
Exploring Operation: 97+92=189, Resulting Numbers: [120, 189]
Generated Node #0,4,3: 89:[120, 189] Operation: 97+92=189
Exploring Operation: 120-97=23, Resulting Numbers: [92, 23]
Generated Node #0,4,4: 89:[92, 23] Operation: 120-97=23
Moving to Node #0,4,0
Current State: 89:[97, 28], Operations: ['12*10=120', '120-92=28']
Exploring Operation: 97+28=125, Resulting Numbers: [125]
125,89 unequal: No Solution
Exploring Operation: 97*28=2716, Resulting Numbers: [2716]
2716,89 unequal: No Solution
Exploring Operation: 97-28=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Moving to Node #0,4,4
Current State: 89:[92, 23], Operations: ['12*10=120', '120-97=23']
Exploring Operation: 92*23=2116, Resulting Numbers: [2116]
2116,89 unequal: No Solution
Exploring Operation: 92-23=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 92/23=4, Resulting Numbers: [4]
4,89 unequal: No Solution
Exploring Operation: 92+23=115, Resulting Numbers: [115]
115,89 unequal: No Solution
Moving to Node #0,4,1
Current State: 89:[120, 5], Operations: ['12*10=120', '97-92=5']
Exploring Operation: 120+5=125, Resulting Numbers: [125]
125,89 unequal: No Solution
Exploring Operation: 120*5=600, Resulting Numbers: [600]
600,89 unequal: No Solution
Exploring Operation: 120/5=24, Resulting Numbers: [24]
24,89 unequal: No Solution
Exploring Operation: 120-5=115, Resulting Numbers: [115]
115,89 unequal: No Solution
Moving to Node #0,4,2
Current State: 89:[92, 217], Operations: ['12*10=120', '97+120=217']
Exploring Operation: 92*217=19964, Resulting Numbers: [19964]
19964,89 unequal: No Solution
Exploring Operation: 92+217=309, Resulting Numbers: [309]
309,89 unequal: No Solution
Exploring Operation: 217-92=125, Resulting Numbers: [125]
125,89 unequal: No Solution
Moving to Node #0,4,3
Current State: 89:[120, 189], Operations: ['12*10=120', '97+92=189']
Exploring Operation: 120+189=309, Resulting Numbers: [309]
309,89 unequal: No Solution
Exploring Operation: 120*189=22680, Resulting Numbers: [22680]
22680,89 unequal: No Solution
Exploring Operation: 189-120=69, Resulting Numbers: [69]
69,89 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
Current State: 89:[97, 92, 22], Operations: ['12+10=22']
Exploring Operation: 92+22=114, Resulting Numbers: [97, 114]
Generated Node #0,1,0: 89:[97, 114] Operation: 92+22=114
Exploring Operation: 92-22=70, Resulting Numbers: [97, 70]
Generated Node #0,1,1: 89:[97, 70] Operation: 92-22=70
Exploring Operation: 97-22=75, Resulting Numbers: [92, 75]
Generated Node #0,1,2: 89:[92, 75] Operation: 97-22=75
Exploring Operation: 97+22=119, Resulting Numbers: [92, 119]
Generated Node #0,1,3: 89:[92, 119] Operation: 97+22=119
Exploring Operation: 97-92=5, Resulting Numbers: [22, 5]
Generated Node #0,1,4: 89:[22, 5] Operation: 97-92=5
Moving to Node #0,1,2
Current State: 89:[92, 75], Operations: ['12+10=22', '97-22=75']
Exploring Operation: 92+75=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Exploring Operation: 92*75=6900, Resulting Numbers: [6900]
6900,89 unequal: No Solution
Exploring Operation: 92-75=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[97, 70], Operations: ['12+10=22', '92-22=70']
Exploring Operation: 97-70=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 97*70=6790, Resulting Numbers: [6790]
6790,89 unequal: No Solution
Exploring Operation: 97+70=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[97, 114], Operations: ['12+10=22', '92+22=114']
Exploring Operation: 97+114=211, Resulting Numbers: [211]
211,89 unequal: No Solution
Exploring Operation: 97*114=11058, Resulting Numbers: [11058]
11058,89 unequal: No Solution
Exploring Operation: 114-97=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Moving to Node #0,1,3
Current State: 89:[92, 119], Operations: ['12+10=22', '97+22=119']
Exploring Operation: 92*119=10948, Resulting Numbers: [10948]
10948,89 unequal: No Solution
Exploring Operation: 119-92=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 92+119=211, Resulting Numbers: [211]
211,89 unequal: No Solution
Moving to Node #0,1,4
Current State: 89:[22, 5], Operations: ['12+10=22', '97-92=5']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 22*5=110, Resulting Numbers: [110]
110,89 unequal: No Solution
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,89 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 #0,0
Current State: 89:[12, 92, 87], Operations: ['97-10=87']
Exploring Operation: 92-12=80, Resulting Numbers: [87, 80]
Generated Node #0,0,0: 89:[87, 80] Operation: 92-12=80
Exploring Operation: 87-12=75, Resulting Numbers: [92, 75]
Generated Node #0,0,1: 89:[92, 75] Operation: 87-12=75
Exploring Operation: 12+92=104, Resulting Numbers: [87, 104]
Generated Node #0,0,2: 89:[87, 104] Operation: 12+92=104
Exploring Operation: 92-87=5, Resulting Numbers: [12, 5]
Generated Node #0,0,3: 89:[12, 5] Operation: 92-87=5
Exploring Operation: 12+87=99, Resulting Numbers: [92, 99]
Generated Node #0,0,4: 89:[92, 99] Operation: 12+87=99
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[87, 80], Operations: ['97-10=87', '92-12=80']
Exploring Operation: 87+80=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 87*80=6960, Resulting Numbers: [6960]
6960,89 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 #0,0,4
Current State: 89:[92, 99], Operations: ['97-10=87', '12+87=99']
Exploring Operation: 92+99=191, Resulting Numbers: [191]
191,89 unequal: No Solution
Exploring Operation: 92*99=9108, Resulting Numbers: [9108]
9108,89 unequal: No Solution
Exploring Operation: 99-92=7, Resulting Numbers: [7]
7,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[92, 75], Operations: ['97-10=87', '87-12=75']
Exploring Operation: 92*75=6900, Resulting Numbers: [6900]
6900,89 unequal: No Solution
Exploring Operation: 92+75=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Exploring Operation: 92-75=17, Resulting Numbers: [17]
17,89 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 #0,0,2
Current State: 89:[87, 104], Operations: ['97-10=87', '12+92=104']
Exploring Operation: 87*104=9048, Resulting Numbers: [9048]
9048,89 unequal: No Solution
Exploring Operation: 87+104=191, Resulting Numbers: [191]
191,89 unequal: No Solution
Exploring Operation: 104-87=17, Resulting Numbers: [17]
17,89 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:[12, 5], Operations: ['97-10=87', '92-87=5']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,89 unequal: No Solution
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,89 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: 89:[92, 10, 85], Operations: ['97-12=85']
Exploring Operation: 92+10=102, Resulting Numbers: [85, 102]
Generated Node #0,3,0: 89:[85, 102] Operation: 92+10=102
Exploring Operation: 85-10=75, Resulting Numbers: [92, 75]
Generated Node #0,3,1: 89:[92, 75] Operation: 85-10=75
Exploring Operation: 10+85=95, Resulting Numbers: [92, 95]
Generated Node #0,3,2: 89:[92, 95] Operation: 10+85=95
Exploring Operation: 92-85=7, Resulting Numbers: [10, 7]
Generated Node #0,3,3: 89:[10, 7] Operation: 92-85=7
Exploring Operation: 92-10=82, Resulting Numbers: [85, 82]
Generated Node #0,3,4: 89:[85, 82] Operation: 92-10=82
Moving to Node #0,3,2
Current State: 89:[92, 95], Operations: ['97-12=85', '10+85=95']
Exploring Operation: 95-92=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 92*95=8740, Resulting Numbers: [8740]
8740,89 unequal: No Solution
Exploring Operation: 92+95=187, Resulting Numbers: [187]
187,89 unequal: No Solution
Moving to Node #0,3,4
Current State: 89:[85, 82], Operations: ['97-12=85', '92-10=82']
Exploring Operation: 85+82=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Exploring Operation: 85-82=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 85*82=6970, Resulting Numbers: [6970]
6970,89 unequal: No Solution
Moving to Node #0,3,0
Current State: 89:[85, 102], Operations: ['97-12=85', '92+10=102']
Exploring Operation: 102-85=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 85+102=187, Resulting Numbers: [187]
187,89 unequal: No Solution
Exploring Operation: 85*102=8670, Resulting Numbers: [8670]
8670,89 unequal: No Solution
Moving to Node #0,3,1
Current State: 89:[92, 75], Operations: ['97-12=85', '85-10=75']
Exploring Operation: 92-75=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 92+75=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Exploring Operation: 92*75=6900, Resulting Numbers: [6900]
6900,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[10, 7], Operations: ['97-12=85', '92-85=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,89 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 #0,2
Current State: 89:[97, 12, 82], Operations: ['92-10=82']
Exploring Operation: 97-82=15, Resulting Numbers: [12, 15]
Generated Node #0,2,0: 89:[12, 15] Operation: 97-82=15
Exploring Operation: 82-12=70, Resulting Numbers: [97, 70]
Generated Node #0,2,1: 89:[97, 70] Operation: 82-12=70
Exploring Operation: 97+12=109, Resulting Numbers: [82, 109]
Generated Node #0,2,2: 89:[82, 109] Operation: 97+12=109
Exploring Operation: 97-12=85, Resulting Numbers: [82, 85]
Generated Node #0,2,3: 89:[82, 85] Operation: 97-12=85
Exploring Operation: 12+82=94, Resulting Numbers: [97, 94]
Generated Node #0,2,4: 89:[97, 94] Operation: 12+82=94
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 89:[82, 85], Operations: ['92-10=82', '97-12=85']
Exploring Operation: 85-82=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 82+85=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Exploring Operation: 82*85=6970, Resulting Numbers: [6970]
6970,89 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 #0,2,4
Current State: 89:[97, 94], Operations: ['92-10=82', '12+82=94']
Exploring Operation: 97*94=9118, Resulting Numbers: [9118]
9118,89 unequal: No Solution
Exploring Operation: 97+94=191, Resulting Numbers: [191]
191,89 unequal: No Solution
Exploring Operation: 97-94=3, Resulting Numbers: [3]
3,89 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 #0,2,1
Current State: 89:[97, 70], Operations: ['92-10=82', '82-12=70']
Exploring Operation: 97-70=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 97*70=6790, Resulting Numbers: [6790]
6790,89 unequal: No Solution
Exploring Operation: 97+70=167, Resulting Numbers: [167]
167,89 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 #0,2,2
Current State: 89:[82, 109], Operations: ['92-10=82', '97+12=109']
Exploring Operation: 82*109=8938, Resulting Numbers: [8938]
8938,89 unequal: No Solution
Exploring Operation: 109-82=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 82+109=191, Resulting Numbers: [191]
191,89 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 #0,2,0
Current State: 89:[12, 15], Operations: ['92-10=82', '97-82=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 12*15=180, Resulting Numbers: [180]
180,89 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,89 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,
99,
70,
75
] | 24 | [
"99-80=19",
"75-70=5",
"19+5=24"
] | Current State: 24:[80, 99, 70, 75], Operations: []
Exploring Operation: 99-80=19, Resulting Numbers: [70, 75, 19]
Generated Node #2: [70, 75, 19] from Operation: 99-80=19
Current State: 24:[70, 75, 19], Operations: ['99-80=19']
Exploring Operation: 75-70=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 75-70=5
Current State: 24:[19, 5], Operations: ['99-80=19', '75-70=5']
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[80, 99, 70, 75], Operations: []
Exploring Operation: 99-80=19, Resulting Numbers: [70, 75, 19]
Generated Node #0,0: 24:[70, 75, 19] Operation: 99-80=19
Exploring Operation: 99-75=24, Resulting Numbers: [80, 70, 24]
Generated Node #0,1: 24:[80, 70, 24] Operation: 99-75=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[70, 75, 19], Operations: ['99-80=19']
Exploring Operation: 70-19=51, Resulting Numbers: [75, 51]
Generated Node #0,0,0: 24:[75, 51] Operation: 70-19=51
Exploring Operation: 75-70=5, Resulting Numbers: [19, 5]
Generated Node #0,0,1: 24:[19, 5] Operation: 75-70=5
Moving to Node #0,0,1
Current State: 24:[19, 5], Operations: ['99-80=19', '75-70=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[80, 99, 70, 75], Operations: []
Exploring Operation: 99-80=19, Resulting Numbers: [70, 75, 19]
Generated Node #0,0: 24:[70, 75, 19] Operation: 99-80=19
Moving to Node #0,0
Current State: 24:[70, 75, 19], Operations: ['99-80=19']
Exploring Operation: 75-70=5, Resulting Numbers: [19, 5]
Generated Node #0,0,1: 24:[19, 5] Operation: 75-70=5
Moving to Node #0,0,1
Current State: 24:[19, 5], Operations: ['99-80=19', '75-70=5']
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
95,
62,
17,
52
] | 36 | [
"95-62=33",
"17+52=69",
"69-33=36"
] | Current State: 36:[95, 62, 17, 52], Operations: []
Exploring Operation: 95-62=33, Resulting Numbers: [17, 52, 33]
Generated Node #2: [17, 52, 33] from Operation: 95-62=33
Current State: 36:[17, 52, 33], Operations: ['95-62=33']
Exploring Operation: 17+52=69, Resulting Numbers: [33, 69]
Generated Node #3: [33, 69] from Operation: 17+52=69
Current State: 36:[33, 69], Operations: ['95-62=33', '17+52=69']
Exploring Operation: 69-33=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[95, 62, 17, 52], Operations: []
Exploring Operation: 62-52=10, Resulting Numbers: [95, 17, 10]
Generated Node #0,0: 36:[95, 17, 10] Operation: 62-52=10
Exploring Operation: 95-62=33, Resulting Numbers: [17, 52, 33]
Generated Node #0,1: 36:[17, 52, 33] Operation: 95-62=33
Exploring Operation: 95-52=43, Resulting Numbers: [62, 17, 43]
Generated Node #0,2: 36:[62, 17, 43] Operation: 95-52=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[17, 52, 33], Operations: ['95-62=33']
Exploring Operation: 52-33=19, Resulting Numbers: [17, 19]
Generated Node #0,1,0: 36:[17, 19] Operation: 52-33=19
Exploring Operation: 52-17=35, Resulting Numbers: [33, 35]
Generated Node #0,1,1: 36:[33, 35] Operation: 52-17=35
Exploring Operation: 33-17=16, Resulting Numbers: [52, 16]
Generated Node #0,1,2: 36:[52, 16] Operation: 33-17=16
Moving to Node #0,1,0
Current State: 36:[17, 19], Operations: ['95-62=33', '52-33=19']
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 17*19=323, Resulting Numbers: [323]
323,36 unequal: No Solution
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[95, 62, 17, 52], Operations: []
Exploring Operation: 95-62=33, Resulting Numbers: [17, 52, 33]
Generated Node #0,1: 36:[17, 52, 33] Operation: 95-62=33
Moving to Node #0,1
Current State: 36:[17, 52, 33], Operations: ['95-62=33']
Exploring Operation: 52-33=19, Resulting Numbers: [17, 19]
Generated Node #0,1,0: 36:[17, 19] Operation: 52-33=19
Moving to Node #0,1,0
Current State: 36:[17, 19], Operations: ['95-62=33', '52-33=19']
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
24,
67,
1,
48
] | 70 | [
"48/24=2",
"67+1=68",
"2+68=70"
] | Current State: 70:[24, 67, 1, 48], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [67, 1, 2]
Generated Node #2: [67, 1, 2] from Operation: 48/24=2
Current State: 70:[67, 1, 2], Operations: ['48/24=2']
Exploring Operation: 67+1=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 67+1=68
Current State: 70:[2, 68], Operations: ['48/24=2', '67+1=68']
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[24, 67, 1, 48], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [67, 1, 2]
Generated Node #0,0: 70:[67, 1, 2] Operation: 48/24=2
Exploring Operation: 67-24=43, Resulting Numbers: [1, 48, 43]
Generated Node #0,1: 70:[1, 48, 43] Operation: 67-24=43
Exploring Operation: 67-48=19, Resulting Numbers: [24, 1, 19]
Generated Node #0,2: 70:[24, 1, 19] Operation: 67-48=19
Exploring Operation: 24+48=72, Resulting Numbers: [67, 1, 72]
Generated Node #0,3: 70:[67, 1, 72] Operation: 24+48=72
Exploring Operation: 48-24=24, Resulting Numbers: [67, 1, 24]
Generated Node #0,4: 70:[67, 1, 24] Operation: 48-24=24
Moving to Node #0,0
Current State: 70:[67, 1, 2], Operations: ['48/24=2']
Exploring Operation: 67+2=69, Resulting Numbers: [1, 69]
Generated Node #0,0,0: 70:[1, 69] Operation: 67+2=69
Exploring Operation: 1*2=2, Resulting Numbers: [67, 2]
Generated Node #0,0,1: 70:[67, 2] Operation: 1*2=2
Exploring Operation: 67+1=68, Resulting Numbers: [2, 68]
Generated Node #0,0,2: 70:[2, 68] Operation: 67+1=68
Exploring Operation: 67*1=67, Resulting Numbers: [2, 67]
Generated Node #0,0,3: 70:[2, 67] Operation: 67*1=67
Exploring Operation: 67/1=67, Resulting Numbers: [2, 67]
Generated Node #0,0,4: 70:[2, 67] Operation: 67/1=67
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[1, 69], Operations: ['48/24=2', '67+2=69']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,70 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 1+69=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[24, 67, 1, 48], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [67, 1, 2]
Generated Node #0,0: 70:[67, 1, 2] Operation: 48/24=2
Moving to Node #0,0
Current State: 70:[67, 1, 2], Operations: ['48/24=2']
Exploring Operation: 67+2=69, Resulting Numbers: [1, 69]
Generated Node #0,0,0: 70:[1, 69] Operation: 67+2=69
Moving to Node #0,0,0
Current State: 70:[1, 69], Operations: ['48/24=2', '67+2=69']
Exploring Operation: 1+69=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
21,
53,
98,
43
] | 19 | [
"21+53=74",
"98-43=55",
"74-55=19"
] | Current State: 19:[21, 53, 98, 43], Operations: []
Exploring Operation: 21+53=74, Resulting Numbers: [98, 43, 74]
Generated Node #2: [98, 43, 74] from Operation: 21+53=74
Current State: 19:[98, 43, 74], Operations: ['21+53=74']
Exploring Operation: 98-43=55, Resulting Numbers: [74, 55]
Generated Node #3: [74, 55] from Operation: 98-43=55
Current State: 19:[74, 55], Operations: ['21+53=74', '98-43=55']
Exploring Operation: 74-55=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[21, 53, 98, 43], Operations: []
Exploring Operation: 98-53=45, Resulting Numbers: [21, 43, 45]
Generated Node #0,0: 19:[21, 43, 45] Operation: 98-53=45
Exploring Operation: 98-43=55, Resulting Numbers: [21, 53, 55]
Generated Node #0,1: 19:[21, 53, 55] Operation: 98-43=55
Moving to Node #0,0
Current State: 19:[21, 43, 45], Operations: ['98-53=45']
Exploring Operation: 45-43=2, Resulting Numbers: [21, 2]
Generated Node #0,0,0: 19:[21, 2] Operation: 45-43=2
Exploring Operation: 43-21=22, Resulting Numbers: [45, 22]
Generated Node #0,0,1: 19:[45, 22] Operation: 43-21=22
Moving to Node #0,1
Current State: 19:[21, 53, 55], Operations: ['98-43=55']
Exploring Operation: 53-21=32, Resulting Numbers: [55, 32]
Generated Node #0,1,0: 19:[55, 32] Operation: 53-21=32
Exploring Operation: 55-53=2, Resulting Numbers: [21, 2]
Generated Node #0,1,1: 19:[21, 2] Operation: 55-53=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[21, 2], Operations: ['98-43=55', '55-53=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[21, 53, 98, 43], Operations: []
Exploring Operation: 98-43=55, Resulting Numbers: [21, 53, 55]
Generated Node #0,1: 19:[21, 53, 55] Operation: 98-43=55
Moving to Node #0,1
Current State: 19:[21, 53, 55], Operations: ['98-43=55']
Exploring Operation: 55-53=2, Resulting Numbers: [21, 2]
Generated Node #0,1,1: 19:[21, 2] Operation: 55-53=2
Moving to Node #0,1,1
Current State: 19:[21, 2], Operations: ['98-43=55', '55-53=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
16,
55,
28,
19
] | 44 | [
"16+19=35",
"55*28=1540",
"1540/35=44"
] | Current State: 44:[16, 55, 28, 19], Operations: []
Exploring Operation: 16+19=35, Resulting Numbers: [55, 28, 35]
Generated Node #2: [55, 28, 35] from Operation: 16+19=35
Current State: 44:[55, 28, 35], Operations: ['16+19=35']
Exploring Operation: 55*28=1540, Resulting Numbers: [35, 1540]
Generated Node #3: [35, 1540] from Operation: 55*28=1540
Current State: 44:[35, 1540], Operations: ['16+19=35', '55*28=1540']
Exploring Operation: 1540/35=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[16, 55, 28, 19], Operations: []
Exploring Operation: 28-16=12, Resulting Numbers: [55, 19, 12]
Generated Node #0,0: 44:[55, 19, 12] Operation: 28-16=12
Exploring Operation: 55-28=27, Resulting Numbers: [16, 19, 27]
Generated Node #0,1: 44:[16, 19, 27] Operation: 55-28=27
Exploring Operation: 16+28=44, Resulting Numbers: [55, 19, 44]
Generated Node #0,2: 44:[55, 19, 44] Operation: 16+28=44
Exploring Operation: 55-16=39, Resulting Numbers: [28, 19, 39]
Generated Node #0,3: 44:[28, 19, 39] Operation: 55-16=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[16, 19, 27], Operations: ['55-28=27']
Exploring Operation: 19+27=46, Resulting Numbers: [16, 46]
Generated Node #0,1,0: 44:[16, 46] Operation: 19+27=46
Exploring Operation: 16+27=43, Resulting Numbers: [19, 43]
Generated Node #0,1,1: 44:[19, 43] Operation: 16+27=43
Exploring Operation: 19-16=3, Resulting Numbers: [27, 3]
Generated Node #0,1,2: 44:[27, 3] Operation: 19-16=3
Exploring Operation: 27-16=11, Resulting Numbers: [19, 11]
Generated Node #0,1,3: 44:[19, 11] Operation: 27-16=11
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 44:[19, 11], Operations: ['55-28=27', '27-16=11']
Exploring Operation: 19*11=209, Resulting Numbers: [209]
209,44 unequal: No Solution
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 44:[19, 43], Operations: ['55-28=27', '16+27=43']
Exploring Operation: 19*43=817, Resulting Numbers: [817]
817,44 unequal: No Solution
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 19+43=62, Resulting Numbers: [62]
62,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 44:[27, 3], Operations: ['55-28=27', '19-16=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,44 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 44:[16, 46], Operations: ['55-28=27', '19+27=46']
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,44 unequal: No Solution
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[55, 19, 44], Operations: ['16+28=44']
Exploring Operation: 55-44=11, Resulting Numbers: [19, 11]
Generated Node #0,2,0: 44:[19, 11] Operation: 55-44=11
Exploring Operation: 55+19=74, Resulting Numbers: [44, 74]
Generated Node #0,2,1: 44:[44, 74] Operation: 55+19=74
Exploring Operation: 44-19=25, Resulting Numbers: [55, 25]
Generated Node #0,2,2: 44:[55, 25] Operation: 44-19=25
Exploring Operation: 55-19=36, Resulting Numbers: [44, 36]
Generated Node #0,2,3: 44:[44, 36] Operation: 55-19=36
Moving to Node #0,2,0
Current State: 44:[19, 11], Operations: ['16+28=44', '55-44=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 19*11=209, Resulting Numbers: [209]
209,44 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Moving to Node #0,2,3
Current State: 44:[44, 36], Operations: ['16+28=44', '55-19=36']
Exploring Operation: 44+36=80, Resulting Numbers: [80]
80,44 unequal: No Solution
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Exploring Operation: 44*36=1584, Resulting Numbers: [1584]
1584,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[55, 25], Operations: ['16+28=44', '44-19=25']
Exploring Operation: 55*25=1375, Resulting Numbers: [1375]
1375,44 unequal: No Solution
Exploring Operation: 55+25=80, Resulting Numbers: [80]
80,44 unequal: No Solution
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Moving to Node #0,2,1
Current State: 44:[44, 74], Operations: ['16+28=44', '55+19=74']
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 44+74=118, Resulting Numbers: [118]
118,44 unequal: No Solution
Exploring Operation: 44*74=3256, Resulting Numbers: [3256]
3256,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[28, 19, 39], Operations: ['55-16=39']
Exploring Operation: 39-28=11, Resulting Numbers: [19, 11]
Generated Node #0,3,0: 44:[19, 11] Operation: 39-28=11
Exploring Operation: 28-19=9, Resulting Numbers: [39, 9]
Generated Node #0,3,1: 44:[39, 9] Operation: 28-19=9
Exploring Operation: 28+19=47, Resulting Numbers: [39, 47]
Generated Node #0,3,2: 44:[39, 47] Operation: 28+19=47
Exploring Operation: 39-19=20, Resulting Numbers: [28, 20]
Generated Node #0,3,3: 44:[28, 20] Operation: 39-19=20
Moving to Node #0,3,0
Current State: 44:[19, 11], Operations: ['55-16=39', '39-28=11']
Exploring Operation: 19*11=209, Resulting Numbers: [209]
209,44 unequal: No Solution
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Moving to Node #0,3,1
Current State: 44:[39, 9], Operations: ['55-16=39', '28-19=9']
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 39+9=48, Resulting Numbers: [48]
48,44 unequal: No Solution
Exploring Operation: 39*9=351, Resulting Numbers: [351]
351,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[28, 20], Operations: ['55-16=39', '39-19=20']
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,44 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,44 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[39, 47], Operations: ['55-16=39', '28+19=47']
Exploring Operation: 39*47=1833, Resulting Numbers: [1833]
1833,44 unequal: No Solution
Exploring Operation: 39+47=86, Resulting Numbers: [86]
86,44 unequal: No Solution
Exploring Operation: 47-39=8, Resulting Numbers: [8]
8,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[55, 19, 12], Operations: ['28-16=12']
Exploring Operation: 55-19=36, Resulting Numbers: [12, 36]
Generated Node #0,0,0: 44:[12, 36] Operation: 55-19=36
Exploring Operation: 19+12=31, Resulting Numbers: [55, 31]
Generated Node #0,0,1: 44:[55, 31] Operation: 19+12=31
Exploring Operation: 55-12=43, Resulting Numbers: [19, 43]
Generated Node #0,0,2: 44:[19, 43] Operation: 55-12=43
Exploring Operation: 19-12=7, Resulting Numbers: [55, 7]
Generated Node #0,0,3: 44:[55, 7] Operation: 19-12=7
Moving to Node #0,0,2
Current State: 44:[19, 43], Operations: ['28-16=12', '55-12=43']
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 19+43=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 19*43=817, Resulting Numbers: [817]
817,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[12, 36], Operations: ['28-16=12', '55-19=36']
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,44 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,44 unequal: No Solution
Moving to Node #0,0,3
Current State: 44:[55, 7], Operations: ['28-16=12', '19-12=7']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,44 unequal: No Solution
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 55*7=385, Resulting Numbers: [385]
385,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[55, 31], Operations: ['28-16=12', '19+12=31']
Exploring Operation: 55+31=86, Resulting Numbers: [86]
86,44 unequal: No Solution
Exploring Operation: 55*31=1705, Resulting Numbers: [1705]
1705,44 unequal: No Solution
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
75,
39,
24,
87
] | 41 | [
"87-75=12",
"24/12=2",
"39+2=41"
] | Current State: 41:[75, 39, 24, 87], Operations: []
Exploring Operation: 87-75=12, Resulting Numbers: [39, 24, 12]
Generated Node #2: [39, 24, 12] from Operation: 87-75=12
Current State: 41:[39, 24, 12], Operations: ['87-75=12']
Exploring Operation: 24/12=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 24/12=2
Current State: 41:[39, 2], Operations: ['87-75=12', '24/12=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[75, 39, 24, 87], Operations: []
Exploring Operation: 87-75=12, Resulting Numbers: [39, 24, 12]
Generated Node #0,0: 41:[39, 24, 12] Operation: 87-75=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[39, 24, 12], Operations: ['87-75=12']
Exploring Operation: 24+12=36, Resulting Numbers: [39, 36]
Generated Node #0,0,0: 41:[39, 36] Operation: 24+12=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[39, 36], Operations: ['87-75=12', '24+12=36']
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
27,
44,
29,
62
] | 20 | [
"27+44=71",
"29+62=91",
"91-71=20"
] | Current State: 20:[27, 44, 29, 62], Operations: []
Exploring Operation: 27+44=71, Resulting Numbers: [29, 62, 71]
Generated Node #2: [29, 62, 71] from Operation: 27+44=71
Current State: 20:[29, 62, 71], Operations: ['27+44=71']
Exploring Operation: 29+62=91, Resulting Numbers: [71, 91]
Generated Node #3: [71, 91] from Operation: 29+62=91
Current State: 20:[71, 91], Operations: ['27+44=71', '29+62=91']
Exploring Operation: 91-71=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[27, 44, 29, 62], Operations: []
Exploring Operation: 62-29=33, Resulting Numbers: [27, 44, 33]
Generated Node #0,0: 20:[27, 44, 33] Operation: 62-29=33
Exploring Operation: 62-27=35, Resulting Numbers: [44, 29, 35]
Generated Node #0,1: 20:[44, 29, 35] Operation: 62-27=35
Exploring Operation: 62-44=18, Resulting Numbers: [27, 29, 18]
Generated Node #0,2: 20:[27, 29, 18] Operation: 62-44=18
Moving to Node #0,2
Current State: 20:[27, 29, 18], Operations: ['62-44=18']
Exploring Operation: 27-18=9, Resulting Numbers: [29, 9]
Generated Node #0,2,0: 20:[29, 9] Operation: 27-18=9
Exploring Operation: 29-27=2, Resulting Numbers: [18, 2]
Generated Node #0,2,1: 20:[18, 2] Operation: 29-27=2
Exploring Operation: 29-18=11, Resulting Numbers: [27, 11]
Generated Node #0,2,2: 20:[27, 11] Operation: 29-18=11
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 20:[18, 2], Operations: ['62-44=18', '29-27=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[27, 44, 29, 62], Operations: []
Exploring Operation: 62-44=18, Resulting Numbers: [27, 29, 18]
Generated Node #0,2: 20:[27, 29, 18] Operation: 62-44=18
Moving to Node #0,2
Current State: 20:[27, 29, 18], Operations: ['62-44=18']
Exploring Operation: 29-27=2, Resulting Numbers: [18, 2]
Generated Node #0,2,1: 20:[18, 2] Operation: 29-27=2
Moving to Node #0,2,1
Current State: 20:[18, 2], Operations: ['62-44=18', '29-27=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
83,
3,
27,
23
] | 90 | [
"83+3=86",
"27-23=4",
"86+4=90"
] | Current State: 90:[83, 3, 27, 23], Operations: []
Exploring Operation: 83+3=86, Resulting Numbers: [27, 23, 86]
Generated Node #2: [27, 23, 86] from Operation: 83+3=86
Current State: 90:[27, 23, 86], Operations: ['83+3=86']
Exploring Operation: 27-23=4, Resulting Numbers: [86, 4]
Generated Node #3: [86, 4] from Operation: 27-23=4
Current State: 90:[86, 4], Operations: ['83+3=86', '27-23=4']
Exploring Operation: 86+4=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[83, 3, 27, 23], Operations: []
Exploring Operation: 27-23=4, Resulting Numbers: [83, 3, 4]
Generated Node #0,0: 90:[83, 3, 4] Operation: 27-23=4
Exploring Operation: 3+27=30, Resulting Numbers: [83, 23, 30]
Generated Node #0,1: 90:[83, 23, 30] Operation: 3+27=30
Exploring Operation: 27/3=9, Resulting Numbers: [83, 23, 9]
Generated Node #0,2: 90:[83, 23, 9] Operation: 27/3=9
Exploring Operation: 83+3=86, Resulting Numbers: [27, 23, 86]
Generated Node #0,3: 90:[27, 23, 86] Operation: 83+3=86
Exploring Operation: 23-3=20, Resulting Numbers: [83, 27, 20]
Generated Node #0,4: 90:[83, 27, 20] Operation: 23-3=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[83, 3, 4], Operations: ['27-23=4']
Exploring Operation: 83+3=86, Resulting Numbers: [4, 86]
Generated Node #0,0,0: 90:[4, 86] Operation: 83+3=86
Exploring Operation: 4-3=1, Resulting Numbers: [83, 1]
Generated Node #0,0,1: 90:[83, 1] Operation: 4-3=1
Exploring Operation: 83+4=87, Resulting Numbers: [3, 87]
Generated Node #0,0,2: 90:[3, 87] Operation: 83+4=87
Exploring Operation: 3*4=12, Resulting Numbers: [83, 12]
Generated Node #0,0,3: 90:[83, 12] Operation: 3*4=12
Exploring Operation: 3+4=7, Resulting Numbers: [83, 7]
Generated Node #0,0,4: 90:[83, 7] Operation: 3+4=7
Moving to Node #0,0,2
Current State: 90:[3, 87], Operations: ['27-23=4', '83+4=87']
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,90 unequal: No Solution
Exploring Operation: 3*87=261, Resulting Numbers: [261]
261,90 unequal: No Solution
Exploring Operation: 3+87=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[83, 3, 27, 23], Operations: []
Exploring Operation: 27-23=4, Resulting Numbers: [83, 3, 4]
Generated Node #0,0: 90:[83, 3, 4] Operation: 27-23=4
Moving to Node #0,0
Current State: 90:[83, 3, 4], Operations: ['27-23=4']
Exploring Operation: 83+4=87, Resulting Numbers: [3, 87]
Generated Node #0,0,2: 90:[3, 87] Operation: 83+4=87
Moving to Node #0,0,2
Current State: 90:[3, 87], Operations: ['27-23=4', '83+4=87']
Exploring Operation: 3+87=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
29,
21,
97,
9
] | 38 | [
"29+21=50",
"97-9=88",
"88-50=38"
] | Current State: 38:[29, 21, 97, 9], Operations: []
Exploring Operation: 29+21=50, Resulting Numbers: [97, 9, 50]
Generated Node #2: [97, 9, 50] from Operation: 29+21=50
Current State: 38:[97, 9, 50], Operations: ['29+21=50']
Exploring Operation: 97-9=88, Resulting Numbers: [50, 88]
Generated Node #3: [50, 88] from Operation: 97-9=88
Current State: 38:[50, 88], Operations: ['29+21=50', '97-9=88']
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[29, 21, 97, 9], Operations: []
Exploring Operation: 97-21=76, Resulting Numbers: [29, 9, 76]
Generated Node #0,0: 38:[29, 9, 76] Operation: 97-21=76
Exploring Operation: 97-29=68, Resulting Numbers: [21, 9, 68]
Generated Node #0,1: 38:[21, 9, 68] Operation: 97-29=68
Exploring Operation: 29+9=38, Resulting Numbers: [21, 97, 38]
Generated Node #0,2: 38:[21, 97, 38] Operation: 29+9=38
Moving to Node #0,1
Current State: 38:[21, 9, 68], Operations: ['97-29=68']
Exploring Operation: 21-9=12, Resulting Numbers: [68, 12]
Generated Node #0,1,0: 38:[68, 12] Operation: 21-9=12
Exploring Operation: 68-21=47, Resulting Numbers: [9, 47]
Generated Node #0,1,1: 38:[9, 47] Operation: 68-21=47
Exploring Operation: 68-9=59, Resulting Numbers: [21, 59]
Generated Node #0,1,2: 38:[21, 59] Operation: 68-9=59
Moving to Node #0,0
Current State: 38:[29, 9, 76], Operations: ['97-21=76']
Exploring Operation: 76-9=67, Resulting Numbers: [29, 67]
Generated Node #0,0,0: 38:[29, 67] Operation: 76-9=67
Exploring Operation: 29+9=38, Resulting Numbers: [76, 38]
Generated Node #0,0,1: 38:[76, 38] Operation: 29+9=38
Exploring Operation: 76-29=47, Resulting Numbers: [9, 47]
Generated Node #0,0,2: 38:[9, 47] Operation: 76-29=47
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 38:[9, 47], Operations: ['97-21=76', '76-29=47']
Exploring Operation: 9+47=56, Resulting Numbers: [56]
56,38 unequal: No Solution
Exploring Operation: 9*47=423, Resulting Numbers: [423]
423,38 unequal: No Solution
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[29, 21, 97, 9], Operations: []
Exploring Operation: 97-21=76, Resulting Numbers: [29, 9, 76]
Generated Node #0,0: 38:[29, 9, 76] Operation: 97-21=76
Moving to Node #0,0
Current State: 38:[29, 9, 76], Operations: ['97-21=76']
Exploring Operation: 76-29=47, Resulting Numbers: [9, 47]
Generated Node #0,0,2: 38:[9, 47] Operation: 76-29=47
Moving to Node #0,0,2
Current State: 38:[9, 47], Operations: ['97-21=76', '76-29=47']
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
45,
90,
21,
39
] | 16 | [
"90/45=2",
"39-21=18",
"18-2=16"
] | Current State: 16:[45, 90, 21, 39], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [21, 39, 2]
Generated Node #2: [21, 39, 2] from Operation: 90/45=2
Current State: 16:[21, 39, 2], Operations: ['90/45=2']
Exploring Operation: 39-21=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 39-21=18
Current State: 16:[2, 18], Operations: ['90/45=2', '39-21=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[45, 90, 21, 39], Operations: []
Exploring Operation: 90-39=51, Resulting Numbers: [45, 21, 51]
Generated Node #0,0: 16:[45, 21, 51] Operation: 90-39=51
Exploring Operation: 90-45=45, Resulting Numbers: [21, 39, 45]
Generated Node #0,1: 16:[21, 39, 45] Operation: 90-45=45
Exploring Operation: 45-21=24, Resulting Numbers: [90, 39, 24]
Generated Node #0,2: 16:[90, 39, 24] Operation: 45-21=24
Exploring Operation: 90/45=2, Resulting Numbers: [21, 39, 2]
Generated Node #0,3: 16:[21, 39, 2] Operation: 90/45=2
Exploring Operation: 45-39=6, Resulting Numbers: [90, 21, 6]
Generated Node #0,4: 16:[90, 21, 6] Operation: 45-39=6
Start Sub Search at level 1: Moving to Node #0,3
Current State: 16:[21, 39, 2], Operations: ['90/45=2']
Exploring Operation: 21-2=19, Resulting Numbers: [39, 19]
Generated Node #0,3,0: 16:[39, 19] Operation: 21-2=19
Exploring Operation: 39-2=37, Resulting Numbers: [21, 37]
Generated Node #0,3,1: 16:[21, 37] Operation: 39-2=37
Exploring Operation: 21+2=23, Resulting Numbers: [39, 23]
Generated Node #0,3,2: 16:[39, 23] Operation: 21+2=23
Exploring Operation: 39+2=41, Resulting Numbers: [21, 41]
Generated Node #0,3,3: 16:[21, 41] Operation: 39+2=41
Exploring Operation: 39-21=18, Resulting Numbers: [2, 18]
Generated Node #0,3,4: 16:[2, 18] Operation: 39-21=18
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 16:[2, 18], Operations: ['90/45=2', '39-21=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[45, 90, 21, 39], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [21, 39, 2]
Generated Node #0,3: 16:[21, 39, 2] Operation: 90/45=2
Moving to Node #0,3
Current State: 16:[21, 39, 2], Operations: ['90/45=2']
Exploring Operation: 39-21=18, Resulting Numbers: [2, 18]
Generated Node #0,3,4: 16:[2, 18] Operation: 39-21=18
Moving to Node #0,3,4
Current State: 16:[2, 18], Operations: ['90/45=2', '39-21=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
18,
58,
56,
63
] | 54 | [
"58-56=2",
"18/2=9",
"63-9=54"
] | Current State: 54:[18, 58, 56, 63], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [18, 63, 2]
Generated Node #2: [18, 63, 2] from Operation: 58-56=2
Current State: 54:[18, 63, 2], Operations: ['58-56=2']
Exploring Operation: 18/2=9, Resulting Numbers: [63, 9]
Generated Node #3: [63, 9] from Operation: 18/2=9
Current State: 54:[63, 9], Operations: ['58-56=2', '18/2=9']
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[18, 58, 56, 63], Operations: []
Exploring Operation: 63-58=5, Resulting Numbers: [18, 56, 5]
Generated Node #0,0: 54:[18, 56, 5] Operation: 63-58=5
Moving to Node #0,0
Current State: 54:[18, 56, 5], Operations: ['63-58=5']
Exploring Operation: 56-5=51, Resulting Numbers: [18, 51]
Generated Node #0,0,0: 54:[18, 51] Operation: 56-5=51
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[18, 51], Operations: ['63-58=5', '56-5=51']
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
5,
94,
4,
93
] | 89 | [
"5*93=465",
"94*4=376",
"465-376=89"
] | Current State: 89:[5, 94, 4, 93], Operations: []
Exploring Operation: 5*93=465, Resulting Numbers: [94, 4, 465]
Generated Node #2: [94, 4, 465] from Operation: 5*93=465
Current State: 89:[94, 4, 465], Operations: ['5*93=465']
Exploring Operation: 94*4=376, Resulting Numbers: [465, 376]
Generated Node #3: [465, 376] from Operation: 94*4=376
Current State: 89:[465, 376], Operations: ['5*93=465', '94*4=376']
Exploring Operation: 465-376=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[5, 94, 4, 93], Operations: []
Exploring Operation: 94-5=89, Resulting Numbers: [4, 93, 89]
Generated Node #0,0: 89:[4, 93, 89] Operation: 94-5=89
Exploring Operation: 5*4=20, Resulting Numbers: [94, 93, 20]
Generated Node #0,1: 89:[94, 93, 20] Operation: 5*4=20
Moving to Node #0,1
Current State: 89:[94, 93, 20], Operations: ['5*4=20']
Exploring Operation: 94-20=74, Resulting Numbers: [93, 74]
Generated Node #0,1,0: 89:[93, 74] Operation: 94-20=74
Exploring Operation: 93-20=73, Resulting Numbers: [94, 73]
Generated Node #0,1,1: 89:[94, 73] Operation: 93-20=73
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[93, 74], Operations: ['5*4=20', '94-20=74']
Exploring Operation: 93+74=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Exploring Operation: 93-74=19, Resulting Numbers: [19]
19,89 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 #0,1,1
Current State: 89:[94, 73], Operations: ['5*4=20', '93-20=73']
Exploring Operation: 94+73=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Exploring Operation: 94-73=21, Resulting Numbers: [21]
21,89 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: 89:[4, 93, 89], Operations: ['94-5=89']
Exploring Operation: 93-4=89, Resulting Numbers: [89, 89]
Generated Node #0,0,0: 89:[89, 89] Operation: 93-4=89
Exploring Operation: 4+93=97, Resulting Numbers: [89, 97]
Generated Node #0,0,1: 89:[89, 97] Operation: 4+93=97
Moving to Node #0,0,0
Current State: 89:[89, 89], Operations: ['94-5=89', '93-4=89']
Exploring Operation: 89/89=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 89+89=178, Resulting Numbers: [178]
178,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[89, 97], Operations: ['94-5=89', '4+93=97']
Exploring Operation: 89+97=186, Resulting Numbers: [186]
186,89 unequal: No Solution
Exploring Operation: 97-89=8, Resulting Numbers: [8]
8,89 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
40,
18,
35,
54
] | 77 | [
"40+18=58",
"54-35=19",
"58+19=77"
] | Current State: 77:[40, 18, 35, 54], Operations: []
Exploring Operation: 40+18=58, Resulting Numbers: [35, 54, 58]
Generated Node #2: [35, 54, 58] from Operation: 40+18=58
Current State: 77:[35, 54, 58], Operations: ['40+18=58']
Exploring Operation: 54-35=19, Resulting Numbers: [58, 19]
Generated Node #3: [58, 19] from Operation: 54-35=19
Current State: 77:[58, 19], Operations: ['40+18=58', '54-35=19']
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[40, 18, 35, 54], Operations: []
Exploring Operation: 54-35=19, Resulting Numbers: [40, 18, 19]
Generated Node #0,0: 77:[40, 18, 19] Operation: 54-35=19
Exploring Operation: 40+35=75, Resulting Numbers: [18, 54, 75]
Generated Node #0,1: 77:[18, 54, 75] Operation: 40+35=75
Exploring Operation: 40+54=94, Resulting Numbers: [18, 35, 94]
Generated Node #0,2: 77:[18, 35, 94] Operation: 40+54=94
Exploring Operation: 40-35=5, Resulting Numbers: [18, 54, 5]
Generated Node #0,3: 77:[18, 54, 5] Operation: 40-35=5
Exploring Operation: 54-40=14, Resulting Numbers: [18, 35, 14]
Generated Node #0,4: 77:[18, 35, 14] Operation: 54-40=14
Moving to Node #0,1
Current State: 77:[18, 54, 75], Operations: ['40+35=75']
Exploring Operation: 75-54=21, Resulting Numbers: [18, 21]
Generated Node #0,1,0: 77:[18, 21] Operation: 75-54=21
Exploring Operation: 18+54=72, Resulting Numbers: [75, 72]
Generated Node #0,1,1: 77:[75, 72] Operation: 18+54=72
Exploring Operation: 54-18=36, Resulting Numbers: [75, 36]
Generated Node #0,1,2: 77:[75, 36] Operation: 54-18=36
Exploring Operation: 18+75=93, Resulting Numbers: [54, 93]
Generated Node #0,1,3: 77:[54, 93] Operation: 18+75=93
Exploring Operation: 54/18=3, Resulting Numbers: [75, 3]
Generated Node #0,1,4: 77:[75, 3] Operation: 54/18=3
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 77:[75, 3], Operations: ['40+35=75', '54/18=3']
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,77 unequal: No Solution
Exploring Operation: 75+3=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Exploring Operation: 75*3=225, Resulting Numbers: [225]
225,77 unequal: No Solution
No 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: 77:[75, 72], Operations: ['40+35=75', '18+54=72']
Exploring Operation: 75-72=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 75+72=147, Resulting Numbers: [147]
147,77 unequal: No Solution
Exploring Operation: 75*72=5400, Resulting Numbers: [5400]
5400,77 unequal: No Solution
No 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: 77:[18, 21], Operations: ['40+35=75', '75-54=21']
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,77 unequal: No Solution
No 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: 77:[75, 36], Operations: ['40+35=75', '54-18=36']
Exploring Operation: 75+36=111, Resulting Numbers: [111]
111,77 unequal: No Solution
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 75*36=2700, Resulting Numbers: [2700]
2700,77 unequal: No Solution
No 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: 77:[54, 93], Operations: ['40+35=75', '18+75=93']
Exploring Operation: 93-54=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 54+93=147, Resulting Numbers: [147]
147,77 unequal: No Solution
Exploring Operation: 54*93=5022, Resulting Numbers: [5022]
5022,77 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: 77:[18, 54, 5], Operations: ['40-35=5']
Exploring Operation: 18-5=13, Resulting Numbers: [54, 13]
Generated Node #0,3,0: 77:[54, 13] Operation: 18-5=13
Exploring Operation: 54-18=36, Resulting Numbers: [5, 36]
Generated Node #0,3,1: 77:[5, 36] Operation: 54-18=36
Exploring Operation: 54/18=3, Resulting Numbers: [5, 3]
Generated Node #0,3,2: 77:[5, 3] Operation: 54/18=3
Exploring Operation: 18+54=72, Resulting Numbers: [5, 72]
Generated Node #0,3,3: 77:[5, 72] Operation: 18+54=72
Exploring Operation: 54+5=59, Resulting Numbers: [18, 59]
Generated Node #0,3,4: 77:[18, 59] Operation: 54+5=59
Moving to Node #0,4
Current State: 77:[18, 35, 14], Operations: ['54-40=14']
Exploring Operation: 35-14=21, Resulting Numbers: [18, 21]
Generated Node #0,4,0: 77:[18, 21] Operation: 35-14=21
Exploring Operation: 35+14=49, Resulting Numbers: [18, 49]
Generated Node #0,4,1: 77:[18, 49] Operation: 35+14=49
Exploring Operation: 35-18=17, Resulting Numbers: [14, 17]
Generated Node #0,4,2: 77:[14, 17] Operation: 35-18=17
Exploring Operation: 18-14=4, Resulting Numbers: [35, 4]
Generated Node #0,4,3: 77:[35, 4] Operation: 18-14=4
Exploring Operation: 18+35=53, Resulting Numbers: [14, 53]
Generated Node #0,4,4: 77:[14, 53] Operation: 18+35=53
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 77:[14, 17], Operations: ['54-40=14', '35-18=17']
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 14*17=238, Resulting Numbers: [238]
238,77 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,77 unequal: No Solution
No 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: 77:[18, 21], Operations: ['54-40=14', '35-14=21']
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,77 unequal: No Solution
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,77 unequal: No Solution
No 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: 77:[35, 4], Operations: ['54-40=14', '18-14=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 35*4=140, Resulting Numbers: [140]
140,77 unequal: No Solution
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,77 unequal: No Solution
No 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: 77:[14, 53], Operations: ['54-40=14', '18+35=53']
Exploring Operation: 14+53=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 14*53=742, Resulting Numbers: [742]
742,77 unequal: No Solution
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,77 unequal: No Solution
No 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: 77:[18, 49], Operations: ['54-40=14', '35+14=49']
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 18*49=882, Resulting Numbers: [882]
882,77 unequal: No Solution
Exploring Operation: 18+49=67, Resulting Numbers: [67]
67,77 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: 77:[40, 18, 19], Operations: ['54-35=19']
Exploring Operation: 19-18=1, Resulting Numbers: [40, 1]
Generated Node #0,0,0: 77:[40, 1] Operation: 19-18=1
Exploring Operation: 40-18=22, Resulting Numbers: [19, 22]
Generated Node #0,0,1: 77:[19, 22] Operation: 40-18=22
Exploring Operation: 40+19=59, Resulting Numbers: [18, 59]
Generated Node #0,0,2: 77:[18, 59] Operation: 40+19=59
Exploring Operation: 40-19=21, Resulting Numbers: [18, 21]
Generated Node #0,0,3: 77:[18, 21] Operation: 40-19=21
Exploring Operation: 40+18=58, Resulting Numbers: [19, 58]
Generated Node #0,0,4: 77:[19, 58] Operation: 40+18=58
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 77:[18, 21], Operations: ['54-35=19', '40-19=21']
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,77 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,77 unequal: No Solution
No 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: 77:[19, 22], Operations: ['54-35=19', '40-18=22']
Exploring Operation: 19*22=418, Resulting Numbers: [418]
418,77 unequal: No Solution
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,77 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,77 unequal: No Solution
No 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: 77:[18, 59], Operations: ['54-35=19', '40+19=59']
Exploring Operation: 18*59=1062, Resulting Numbers: [1062]
1062,77 unequal: No Solution
Exploring Operation: 18+59=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[40, 18, 35, 54], Operations: []
Exploring Operation: 54-35=19, Resulting Numbers: [40, 18, 19]
Generated Node #0,0: 77:[40, 18, 19] Operation: 54-35=19
Moving to Node #0,0
Current State: 77:[40, 18, 19], Operations: ['54-35=19']
Exploring Operation: 40+19=59, Resulting Numbers: [18, 59]
Generated Node #0,0,2: 77:[18, 59] Operation: 40+19=59
Moving to Node #0,0,2
Current State: 77:[18, 59], Operations: ['54-35=19', '40+19=59']
Exploring Operation: 18+59=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.940972 | hs_5 | mult_heuristic |
[
4,
87,
23,
15
] | 20 | [
"4*23=92",
"87-15=72",
"92-72=20"
] | Current State: 20:[4, 87, 23, 15], Operations: []
Exploring Operation: 4*23=92, Resulting Numbers: [87, 15, 92]
Generated Node #2: [87, 15, 92] from Operation: 4*23=92
Current State: 20:[87, 15, 92], Operations: ['4*23=92']
Exploring Operation: 87-15=72, Resulting Numbers: [92, 72]
Generated Node #3: [92, 72] from Operation: 87-15=72
Current State: 20:[92, 72], Operations: ['4*23=92', '87-15=72']
Exploring Operation: 92-72=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[4, 87, 23, 15], Operations: []
Exploring Operation: 87-23=64, Resulting Numbers: [4, 15, 64]
Generated Node #0,0: 20:[4, 15, 64] Operation: 87-23=64
Exploring Operation: 87-4=83, Resulting Numbers: [23, 15, 83]
Generated Node #0,1: 20:[23, 15, 83] Operation: 87-4=83
Exploring Operation: 4+15=19, Resulting Numbers: [87, 23, 19]
Generated Node #0,2: 20:[87, 23, 19] Operation: 4+15=19
Exploring Operation: 87-15=72, Resulting Numbers: [4, 23, 72]
Generated Node #0,3: 20:[4, 23, 72] Operation: 87-15=72
Exploring Operation: 23-15=8, Resulting Numbers: [4, 87, 8]
Generated Node #0,4: 20:[4, 87, 8] Operation: 23-15=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[4, 15, 64], Operations: ['87-23=64']
Exploring Operation: 15-4=11, Resulting Numbers: [64, 11]
Generated Node #0,0,0: 20:[64, 11] Operation: 15-4=11
Exploring Operation: 64-15=49, Resulting Numbers: [4, 49]
Generated Node #0,0,1: 20:[4, 49] Operation: 64-15=49
Exploring Operation: 4+15=19, Resulting Numbers: [64, 19]
Generated Node #0,0,2: 20:[64, 19] Operation: 4+15=19
Exploring Operation: 64-4=60, Resulting Numbers: [15, 60]
Generated Node #0,0,3: 20:[15, 60] Operation: 64-4=60
Exploring Operation: 64/4=16, Resulting Numbers: [15, 16]
Generated Node #0,0,4: 20:[15, 16] Operation: 64/4=16
Moving to Node #0,0,4
Current State: 20:[15, 16], Operations: ['87-23=64', '64/4=16']
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,20 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,20 unequal: No Solution
Moving to Node #0,0,1
Current State: 20:[4, 49], Operations: ['87-23=64', '64-15=49']
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,20 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[64, 11], Operations: ['87-23=64', '15-4=11']
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,20 unequal: No Solution
Exploring Operation: 64*11=704, Resulting Numbers: [704]
704,20 unequal: No Solution
Moving to Node #0,0,2
Current State: 20:[64, 19], Operations: ['87-23=64', '4+15=19']
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 64*19=1216, Resulting Numbers: [1216]
1216,20 unequal: No Solution
Exploring Operation: 64+19=83, Resulting Numbers: [83]
83,20 unequal: No Solution
Moving to Node #0,0,3
Current State: 20:[15, 60], Operations: ['87-23=64', '64-4=60']
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 15+60=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 60/15=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 15*60=900, Resulting Numbers: [900]
900,20 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:[4, 23, 72], Operations: ['87-15=72']
Exploring Operation: 23-4=19, Resulting Numbers: [72, 19]
Generated Node #0,3,0: 20:[72, 19] Operation: 23-4=19
Exploring Operation: 72-23=49, Resulting Numbers: [4, 49]
Generated Node #0,3,1: 20:[4, 49] Operation: 72-23=49
Exploring Operation: 72-4=68, Resulting Numbers: [23, 68]
Generated Node #0,3,2: 20:[23, 68] Operation: 72-4=68
Exploring Operation: 4+23=27, Resulting Numbers: [72, 27]
Generated Node #0,3,3: 20:[72, 27] Operation: 4+23=27
Exploring Operation: 72/4=18, Resulting Numbers: [23, 18]
Generated Node #0,3,4: 20:[23, 18] Operation: 72/4=18
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 20:[23, 18], Operations: ['87-15=72', '72/4=18']
Exploring Operation: 23*18=414, Resulting Numbers: [414]
414,20 unequal: No Solution
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,20 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 #0,3,1
Current State: 20:[4, 49], Operations: ['87-15=72', '72-23=49']
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,20 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,20 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:[23, 68], Operations: ['87-15=72', '72-4=68']
Exploring Operation: 68-23=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 23*68=1564, Resulting Numbers: [1564]
1564,20 unequal: No Solution
Exploring Operation: 23+68=91, Resulting Numbers: [91]
91,20 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:[72, 19], Operations: ['87-15=72', '23-4=19']
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,20 unequal: No Solution
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,20 unequal: No Solution
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,20 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:[72, 27], Operations: ['87-15=72', '4+23=27']
Exploring Operation: 72*27=1944, Resulting Numbers: [1944]
1944,20 unequal: No Solution
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,20 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
Start Sub Search at level 1: Moving to Node #0,4
Current State: 20:[4, 87, 8], Operations: ['23-15=8']
Exploring Operation: 87-4=83, Resulting Numbers: [8, 83]
Generated Node #0,4,0: 20:[8, 83] Operation: 87-4=83
Exploring Operation: 8/4=2, Resulting Numbers: [87, 2]
Generated Node #0,4,1: 20:[87, 2] Operation: 8/4=2
Exploring Operation: 4+8=12, Resulting Numbers: [87, 12]
Generated Node #0,4,2: 20:[87, 12] Operation: 4+8=12
Exploring Operation: 8-4=4, Resulting Numbers: [87, 4]
Generated Node #0,4,3: 20:[87, 4] Operation: 8-4=4
Exploring Operation: 87-8=79, Resulting Numbers: [4, 79]
Generated Node #0,4,4: 20:[4, 79] Operation: 87-8=79
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 20:[4, 79], Operations: ['23-15=8', '87-8=79']
Exploring Operation: 4*79=316, Resulting Numbers: [316]
316,20 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,20 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 #0,4,0
Current State: 20:[8, 83], Operations: ['23-15=8', '87-4=83']
Exploring Operation: 8+83=91, Resulting Numbers: [91]
91,20 unequal: No Solution
Exploring Operation: 8*83=664, Resulting Numbers: [664]
664,20 unequal: No Solution
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,20 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 #0,4,1
Current State: 20:[87, 2], Operations: ['23-15=8', '8/4=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,20 unequal: No Solution
Exploring Operation: 87*2=174, Resulting Numbers: [174]
174,20 unequal: No Solution
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,20 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 #0,4,3
Current State: 20:[87, 4], Operations: ['23-15=8', '8-4=4']
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,20 unequal: No Solution
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,20 unequal: No Solution
Exploring Operation: 87*4=348, Resulting Numbers: [348]
348,20 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 #0,4,2
Current State: 20:[87, 12], Operations: ['23-15=8', '4+8=12']
Exploring Operation: 87+12=99, Resulting Numbers: [99]
99,20 unequal: No Solution
Exploring Operation: 87*12=1044, Resulting Numbers: [1044]
1044,20 unequal: No Solution
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,20 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[23, 15, 83], Operations: ['87-4=83']
Exploring Operation: 83-23=60, Resulting Numbers: [15, 60]
Generated Node #0,1,0: 20:[15, 60] Operation: 83-23=60
Exploring Operation: 23-15=8, Resulting Numbers: [83, 8]
Generated Node #0,1,1: 20:[83, 8] Operation: 23-15=8
Exploring Operation: 83-15=68, Resulting Numbers: [23, 68]
Generated Node #0,1,2: 20:[23, 68] Operation: 83-15=68
Exploring Operation: 15+83=98, Resulting Numbers: [23, 98]
Generated Node #0,1,3: 20:[23, 98] Operation: 15+83=98
Exploring Operation: 23+15=38, Resulting Numbers: [83, 38]
Generated Node #0,1,4: 20:[83, 38] Operation: 23+15=38
Moving to Node #0,1,0
Current State: 20:[15, 60], Operations: ['87-4=83', '83-23=60']
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 15*60=900, Resulting Numbers: [900]
900,20 unequal: No Solution
Exploring Operation: 15+60=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 60/15=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[23, 68], Operations: ['87-4=83', '83-15=68']
Exploring Operation: 23*68=1564, Resulting Numbers: [1564]
1564,20 unequal: No Solution
Exploring Operation: 23+68=91, Resulting Numbers: [91]
91,20 unequal: No Solution
Exploring Operation: 68-23=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[83, 8], Operations: ['87-4=83', '23-15=8']
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 83*8=664, Resulting Numbers: [664]
664,20 unequal: No Solution
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,20 unequal: No Solution
Moving to Node #0,1,3
Current State: 20:[23, 98], Operations: ['87-4=83', '15+83=98']
Exploring Operation: 98-23=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 23+98=121, Resulting Numbers: [121]
121,20 unequal: No Solution
Exploring Operation: 23*98=2254, Resulting Numbers: [2254]
2254,20 unequal: No Solution
Moving to Node #0,1,4
Current State: 20:[83, 38], Operations: ['87-4=83', '23+15=38']
Exploring Operation: 83*38=3154, Resulting Numbers: [3154]
3154,20 unequal: No Solution
Exploring Operation: 83-38=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 83+38=121, Resulting Numbers: [121]
121,20 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:[87, 23, 19], Operations: ['4+15=19']
Exploring Operation: 87-19=68, Resulting Numbers: [23, 68]
Generated Node #0,2,0: 20:[23, 68] Operation: 87-19=68
Exploring Operation: 23+19=42, Resulting Numbers: [87, 42]
Generated Node #0,2,1: 20:[87, 42] Operation: 23+19=42
Exploring Operation: 87-23=64, Resulting Numbers: [19, 64]
Generated Node #0,2,2: 20:[19, 64] Operation: 87-23=64
Exploring Operation: 87+19=106, Resulting Numbers: [23, 106]
Generated Node #0,2,3: 20:[23, 106] Operation: 87+19=106
Exploring Operation: 23-19=4, Resulting Numbers: [87, 4]
Generated Node #0,2,4: 20:[87, 4] Operation: 23-19=4
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 20:[19, 64], Operations: ['4+15=19', '87-23=64']
Exploring Operation: 19+64=83, Resulting Numbers: [83]
83,20 unequal: No Solution
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 19*64=1216, Resulting Numbers: [1216]
1216,20 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 #0,2,0
Current State: 20:[23, 68], Operations: ['4+15=19', '87-19=68']
Exploring Operation: 23*68=1564, Resulting Numbers: [1564]
1564,20 unequal: No Solution
Exploring Operation: 68-23=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 23+68=91, Resulting Numbers: [91]
91,20 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 #0,2,4
Current State: 20:[87, 4], Operations: ['4+15=19', '23-19=4']
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,20 unequal: No Solution
Exploring Operation: 87*4=348, Resulting Numbers: [348]
348,20 unequal: No Solution
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,20 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 #0,2,1
Current State: 20:[87, 42], Operations: ['4+15=19', '23+19=42']
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 87*42=3654, Resulting Numbers: [3654]
3654,20 unequal: No Solution
Exploring Operation: 87+42=129, Resulting Numbers: [129]
129,20 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 #0,2,3
Current State: 20:[23, 106], Operations: ['4+15=19', '87+19=106']
Exploring Operation: 106-23=83, Resulting Numbers: [83]
83,20 unequal: No Solution
Exploring Operation: 23*106=2438, Resulting Numbers: [2438]
2438,20 unequal: No Solution
Exploring Operation: 23+106=129, Resulting Numbers: [129]
129,20 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 |
[
58,
89,
3,
17
] | 82 | [
"89-58=31",
"3*17=51",
"31+51=82"
] | Current State: 82:[58, 89, 3, 17], Operations: []
Exploring Operation: 89-58=31, Resulting Numbers: [3, 17, 31]
Generated Node #2: [3, 17, 31] from Operation: 89-58=31
Current State: 82:[3, 17, 31], Operations: ['89-58=31']
Exploring Operation: 3*17=51, Resulting Numbers: [31, 51]
Generated Node #3: [31, 51] from Operation: 3*17=51
Current State: 82:[31, 51], Operations: ['89-58=31', '3*17=51']
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[58, 89, 3, 17], Operations: []
Exploring Operation: 58-17=41, Resulting Numbers: [89, 3, 41]
Generated Node #0,0: 82:[89, 3, 41] Operation: 58-17=41
Exploring Operation: 89-58=31, Resulting Numbers: [3, 17, 31]
Generated Node #0,1: 82:[3, 17, 31] Operation: 89-58=31
Exploring Operation: 89-17=72, Resulting Numbers: [58, 3, 72]
Generated Node #0,2: 82:[58, 3, 72] Operation: 89-17=72
Exploring Operation: 58+17=75, Resulting Numbers: [89, 3, 75]
Generated Node #0,3: 82:[89, 3, 75] Operation: 58+17=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[89, 3, 41], Operations: ['58-17=41']
Exploring Operation: 89-41=48, Resulting Numbers: [3, 48]
Generated Node #0,0,0: 82:[3, 48] Operation: 89-41=48
Exploring Operation: 3+41=44, Resulting Numbers: [89, 44]
Generated Node #0,0,1: 82:[89, 44] Operation: 3+41=44
Exploring Operation: 89+3=92, Resulting Numbers: [41, 92]
Generated Node #0,0,2: 82:[41, 92] Operation: 89+3=92
Exploring Operation: 89-3=86, Resulting Numbers: [41, 86]
Generated Node #0,0,3: 82:[41, 86] Operation: 89-3=86
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 82:[41, 86], Operations: ['58-17=41', '89-3=86']
Exploring Operation: 86-41=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 41*86=3526, Resulting Numbers: [3526]
3526,82 unequal: No Solution
Exploring Operation: 41+86=127, Resulting Numbers: [127]
127,82 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 #0,0,0
Current State: 82:[3, 48], Operations: ['58-17=41', '89-41=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,82 unequal: No Solution
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,82 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,82 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,82 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 #0,0,1
Current State: 82:[89, 44], Operations: ['58-17=41', '3+41=44']
Exploring Operation: 89*44=3916, Resulting Numbers: [3916]
3916,82 unequal: No Solution
Exploring Operation: 89+44=133, Resulting Numbers: [133]
133,82 unequal: No Solution
Exploring Operation: 89-44=45, Resulting Numbers: [45]
45,82 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 #0,0,2
Current State: 82:[41, 92], Operations: ['58-17=41', '89+3=92']
Exploring Operation: 41*92=3772, Resulting Numbers: [3772]
3772,82 unequal: No Solution
Exploring Operation: 92-41=51, Resulting Numbers: [51]
51,82 unequal: No Solution
Exploring Operation: 41+92=133, Resulting Numbers: [133]
133,82 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 #0,3
Current State: 82:[89, 3, 75], Operations: ['58+17=75']
Exploring Operation: 3+75=78, Resulting Numbers: [89, 78]
Generated Node #0,3,0: 82:[89, 78] Operation: 3+75=78
Exploring Operation: 89-3=86, Resulting Numbers: [75, 86]
Generated Node #0,3,1: 82:[75, 86] Operation: 89-3=86
Exploring Operation: 89+3=92, Resulting Numbers: [75, 92]
Generated Node #0,3,2: 82:[75, 92] Operation: 89+3=92
Exploring Operation: 89-75=14, Resulting Numbers: [3, 14]
Generated Node #0,3,3: 82:[3, 14] Operation: 89-75=14
Moving to Node #0,3,0
Current State: 82:[89, 78], Operations: ['58+17=75', '3+75=78']
Exploring Operation: 89+78=167, Resulting Numbers: [167]
167,82 unequal: No Solution
Exploring Operation: 89*78=6942, Resulting Numbers: [6942]
6942,82 unequal: No Solution
Exploring Operation: 89-78=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Moving to Node #0,3,1
Current State: 82:[75, 86], Operations: ['58+17=75', '89-3=86']
Exploring Operation: 75*86=6450, Resulting Numbers: [6450]
6450,82 unequal: No Solution
Exploring Operation: 86-75=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Exploring Operation: 75+86=161, Resulting Numbers: [161]
161,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[3, 14], Operations: ['58+17=75', '89-75=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,82 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[75, 92], Operations: ['58+17=75', '89+3=92']
Exploring Operation: 75+92=167, Resulting Numbers: [167]
167,82 unequal: No Solution
Exploring Operation: 75*92=6900, Resulting Numbers: [6900]
6900,82 unequal: No Solution
Exploring Operation: 92-75=17, Resulting Numbers: [17]
17,82 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
Current State: 82:[3, 17, 31], Operations: ['89-58=31']
Exploring Operation: 31-17=14, Resulting Numbers: [3, 14]
Generated Node #0,1,0: 82:[3, 14] Operation: 31-17=14
Exploring Operation: 17+31=48, Resulting Numbers: [3, 48]
Generated Node #0,1,1: 82:[3, 48] Operation: 17+31=48
Exploring Operation: 3*17=51, Resulting Numbers: [31, 51]
Generated Node #0,1,2: 82:[31, 51] Operation: 3*17=51
Exploring Operation: 17-3=14, Resulting Numbers: [31, 14]
Generated Node #0,1,3: 82:[31, 14] Operation: 17-3=14
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[3, 48], Operations: ['89-58=31', '17+31=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,82 unequal: No Solution
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,82 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,82 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,82 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:[3, 14], Operations: ['89-58=31', '31-17=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,82 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,82 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:[31, 51], Operations: ['89-58=31', '3*17=51']
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[58, 89, 3, 17], Operations: []
Exploring Operation: 89-58=31, Resulting Numbers: [3, 17, 31]
Generated Node #0,1: 82:[3, 17, 31] Operation: 89-58=31
Moving to Node #0,1
Current State: 82:[3, 17, 31], Operations: ['89-58=31']
Exploring Operation: 3*17=51, Resulting Numbers: [31, 51]
Generated Node #0,1,2: 82:[31, 51] Operation: 3*17=51
Moving to Node #0,1,2
Current State: 82:[31, 51], Operations: ['89-58=31', '3*17=51']
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.953125 | hs_4 | sum_heuristic |
[
2,
76,
72,
8
] | 96 | [
"76+8=84",
"2*84=168",
"168-72=96"
] | Current State: 96:[2, 76, 72, 8], Operations: []
Exploring Operation: 76+8=84, Resulting Numbers: [2, 72, 84]
Generated Node #2: [2, 72, 84] from Operation: 76+8=84
Current State: 96:[2, 72, 84], Operations: ['76+8=84']
Exploring Operation: 2*84=168, Resulting Numbers: [72, 168]
Generated Node #3: [72, 168] from Operation: 2*84=168
Current State: 96:[72, 168], Operations: ['76+8=84', '2*84=168']
Exploring Operation: 168-72=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[2, 76, 72, 8], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [2, 76, 9]
Generated Node #0,0: 96:[2, 76, 9] Operation: 72/8=9
Exploring Operation: 76/2=38, Resulting Numbers: [72, 8, 38]
Generated Node #0,1: 96:[72, 8, 38] Operation: 76/2=38
Exploring Operation: 76-72=4, Resulting Numbers: [2, 8, 4]
Generated Node #0,2: 96:[2, 8, 4] Operation: 76-72=4
Exploring Operation: 72/2=36, Resulting Numbers: [76, 8, 36]
Generated Node #0,3: 96:[76, 8, 36] Operation: 72/2=36
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[2, 8, 4], Operations: ['76-72=4']
Exploring Operation: 2+4=6, Resulting Numbers: [8, 6]
Generated Node #0,2,0: 96:[8, 6] Operation: 2+4=6
Exploring Operation: 8/2=4, Resulting Numbers: [4, 4]
Generated Node #0,2,1: 96:[4, 4] Operation: 8/2=4
Exploring Operation: 2*8=16, Resulting Numbers: [4, 16]
Generated Node #0,2,2: 96:[4, 16] Operation: 2*8=16
Exploring Operation: 8-2=6, Resulting Numbers: [4, 6]
Generated Node #0,2,3: 96:[4, 6] Operation: 8-2=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 96:[8, 6], Operations: ['76-72=4', '2+4=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,96 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,96 unequal: No Solution
No 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: 96:[4, 4], Operations: ['76-72=4', '8/2=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,96 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,96 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,96 unequal: No Solution
No 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: 96:[4, 16], Operations: ['76-72=4', '2*8=16']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,96 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,96 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,96 unequal: No Solution
No 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: 96:[4, 6], Operations: ['76-72=4', '8-2=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,96 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,96 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: 96:[2, 76, 9], Operations: ['72/8=9']
Exploring Operation: 76+9=85, Resulting Numbers: [2, 85]
Generated Node #0,0,0: 96:[2, 85] Operation: 76+9=85
Exploring Operation: 76/2=38, Resulting Numbers: [9, 38]
Generated Node #0,0,1: 96:[9, 38] Operation: 76/2=38
Exploring Operation: 2+76=78, Resulting Numbers: [9, 78]
Generated Node #0,0,2: 96:[9, 78] Operation: 2+76=78
Exploring Operation: 76-9=67, Resulting Numbers: [2, 67]
Generated Node #0,0,3: 96:[2, 67] Operation: 76-9=67
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 96:[9, 38], Operations: ['72/8=9', '76/2=38']
Exploring Operation: 9+38=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 9*38=342, Resulting Numbers: [342]
342,96 unequal: No Solution
No 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: 96:[2, 85], Operations: ['72/8=9', '76+9=85']
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,96 unequal: No Solution
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,96 unequal: No Solution
Exploring Operation: 2*85=170, Resulting Numbers: [170]
170,96 unequal: No Solution
No 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: 96:[9, 78], Operations: ['72/8=9', '2+76=78']
Exploring Operation: 9*78=702, Resulting Numbers: [702]
702,96 unequal: No Solution
Exploring Operation: 9+78=87, Resulting Numbers: [87]
87,96 unequal: No Solution
Exploring Operation: 78-9=69, Resulting Numbers: [69]
69,96 unequal: No Solution
No 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: 96:[2, 67], Operations: ['72/8=9', '76-9=67']
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 2*67=134, Resulting Numbers: [134]
134,96 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,96 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: 96:[76, 8, 36], Operations: ['72/2=36']
Exploring Operation: 76-8=68, Resulting Numbers: [36, 68]
Generated Node #0,3,0: 96:[36, 68] Operation: 76-8=68
Exploring Operation: 76-36=40, Resulting Numbers: [8, 40]
Generated Node #0,3,1: 96:[8, 40] Operation: 76-36=40
Exploring Operation: 76+36=112, Resulting Numbers: [8, 112]
Generated Node #0,3,2: 96:[8, 112] Operation: 76+36=112
Exploring Operation: 76+8=84, Resulting Numbers: [36, 84]
Generated Node #0,3,3: 96:[36, 84] Operation: 76+8=84
Moving to Node #0,3,1
Current State: 96:[8, 40], Operations: ['72/2=36', '76-36=40']
Exploring Operation: 8*40=320, Resulting Numbers: [320]
320,96 unequal: No Solution
Exploring Operation: 40/8=5, Resulting Numbers: [5]
5,96 unequal: No Solution
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,96 unequal: No Solution
Exploring Operation: 8+40=48, Resulting Numbers: [48]
48,96 unequal: No Solution
Moving to Node #0,3,3
Current State: 96:[36, 84], Operations: ['72/2=36', '76+8=84']
Exploring Operation: 36*84=3024, Resulting Numbers: [3024]
3024,96 unequal: No Solution
Exploring Operation: 36+84=120, Resulting Numbers: [120]
120,96 unequal: No Solution
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,96 unequal: No Solution
Moving to Node #0,3,2
Current State: 96:[8, 112], Operations: ['72/2=36', '76+36=112']
Exploring Operation: 112-8=104, Resulting Numbers: [104]
104,96 unequal: No Solution
Exploring Operation: 8+112=120, Resulting Numbers: [120]
120,96 unequal: No Solution
Exploring Operation: 8*112=896, Resulting Numbers: [896]
896,96 unequal: No Solution
Exploring Operation: 112/8=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Moving to Node #0,3,0
Current State: 96:[36, 68], Operations: ['72/2=36', '76-8=68']
Exploring Operation: 36+68=104, Resulting Numbers: [104]
104,96 unequal: No Solution
Exploring Operation: 36*68=2448, Resulting Numbers: [2448]
2448,96 unequal: No Solution
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[72, 8, 38], Operations: ['76/2=38']
Exploring Operation: 72-38=34, Resulting Numbers: [8, 34]
Generated Node #0,1,0: 96:[8, 34] Operation: 72-38=34
Exploring Operation: 72/8=9, Resulting Numbers: [38, 9]
Generated Node #0,1,1: 96:[38, 9] Operation: 72/8=9
Exploring Operation: 72+8=80, Resulting Numbers: [38, 80]
Generated Node #0,1,2: 96:[38, 80] Operation: 72+8=80
Exploring Operation: 72+38=110, Resulting Numbers: [8, 110]
Generated Node #0,1,3: 96:[8, 110] Operation: 72+38=110
Moving to Node #0,1,0
Current State: 96:[8, 34], Operations: ['76/2=38', '72-38=34']
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,96 unequal: No Solution
Exploring Operation: 8*34=272, Resulting Numbers: [272]
272,96 unequal: No Solution
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[38, 9], Operations: ['76/2=38', '72/8=9']
Exploring Operation: 38*9=342, Resulting Numbers: [342]
342,96 unequal: No Solution
Exploring Operation: 38+9=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Moving to Node #0,1,3
Current State: 96:[8, 110], Operations: ['76/2=38', '72+38=110']
Exploring Operation: 8*110=880, Resulting Numbers: [880]
880,96 unequal: No Solution
Exploring Operation: 8+110=118, Resulting Numbers: [118]
118,96 unequal: No Solution
Exploring Operation: 110-8=102, Resulting Numbers: [102]
102,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[38, 80], Operations: ['76/2=38', '72+8=80']
Exploring Operation: 38+80=118, Resulting Numbers: [118]
118,96 unequal: No Solution
Exploring Operation: 38*80=3040, Resulting Numbers: [3040]
3040,96 unequal: No Solution
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,96 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 |
[
58,
35,
84,
32
] | 37 | [
"84+32=116",
"116/58=2",
"35+2=37"
] | Current State: 37:[58, 35, 84, 32], Operations: []
Exploring Operation: 84+32=116, Resulting Numbers: [58, 35, 116]
Generated Node #2: [58, 35, 116] from Operation: 84+32=116
Current State: 37:[58, 35, 116], Operations: ['84+32=116']
Exploring Operation: 116/58=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 116/58=2
Current State: 37:[35, 2], Operations: ['84+32=116', '116/58=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[58, 35, 84, 32], Operations: []
Exploring Operation: 84-35=49, Resulting Numbers: [58, 32, 49]
Generated Node #0,0: 37:[58, 32, 49] Operation: 84-35=49
Exploring Operation: 84-58=26, Resulting Numbers: [35, 32, 26]
Generated Node #0,1: 37:[35, 32, 26] Operation: 84-58=26
Exploring Operation: 84-32=52, Resulting Numbers: [58, 35, 52]
Generated Node #0,2: 37:[58, 35, 52] Operation: 84-32=52
Exploring Operation: 58-32=26, Resulting Numbers: [35, 84, 26]
Generated Node #0,3: 37:[35, 84, 26] Operation: 58-32=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[35, 32, 26], Operations: ['84-58=26']
Exploring Operation: 35+26=61, Resulting Numbers: [32, 61]
Generated Node #0,1,0: 37:[32, 61] Operation: 35+26=61
Exploring Operation: 35-26=9, Resulting Numbers: [32, 9]
Generated Node #0,1,1: 37:[32, 9] Operation: 35-26=9
Exploring Operation: 32+26=58, Resulting Numbers: [35, 58]
Generated Node #0,1,2: 37:[35, 58] Operation: 32+26=58
Exploring Operation: 32-26=6, Resulting Numbers: [35, 6]
Generated Node #0,1,3: 37:[35, 6] Operation: 32-26=6
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 37:[35, 58], Operations: ['84-58=26', '32+26=58']
Exploring Operation: 35+58=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Exploring Operation: 35*58=2030, Resulting Numbers: [2030]
2030,37 unequal: No Solution
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,37 unequal: No Solution
No 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: 37:[32, 61], Operations: ['84-58=26', '35+26=61']
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 32*61=1952, Resulting Numbers: [1952]
1952,37 unequal: No Solution
Exploring Operation: 32+61=93, Resulting Numbers: [93]
93,37 unequal: No Solution
No 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: 37:[32, 9], Operations: ['84-58=26', '35-26=9']
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 32*9=288, Resulting Numbers: [288]
288,37 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,37 unequal: No Solution
No 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: 37:[35, 6], Operations: ['84-58=26', '32-26=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 35*6=210, Resulting Numbers: [210]
210,37 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[58, 32, 49], Operations: ['84-35=49']
Exploring Operation: 58-32=26, Resulting Numbers: [49, 26]
Generated Node #0,0,0: 37:[49, 26] Operation: 58-32=26
Exploring Operation: 49-32=17, Resulting Numbers: [58, 17]
Generated Node #0,0,1: 37:[58, 17] Operation: 49-32=17
Exploring Operation: 58+32=90, Resulting Numbers: [49, 90]
Generated Node #0,0,2: 37:[49, 90] Operation: 58+32=90
Exploring Operation: 58-49=9, Resulting Numbers: [32, 9]
Generated Node #0,0,3: 37:[32, 9] Operation: 58-49=9
Moving to Node #0,0,0
Current State: 37:[49, 26], Operations: ['84-35=49', '58-32=26']
Exploring Operation: 49*26=1274, Resulting Numbers: [1274]
1274,37 unequal: No Solution
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 49+26=75, Resulting Numbers: [75]
75,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[32, 9], Operations: ['84-35=49', '58-49=9']
Exploring Operation: 32*9=288, Resulting Numbers: [288]
288,37 unequal: No Solution
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[58, 17], Operations: ['84-35=49', '49-32=17']
Exploring Operation: 58-17=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 58+17=75, Resulting Numbers: [75]
75,37 unequal: No Solution
Exploring Operation: 58*17=986, Resulting Numbers: [986]
986,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[49, 90], Operations: ['84-35=49', '58+32=90']
Exploring Operation: 49*90=4410, Resulting Numbers: [4410]
4410,37 unequal: No Solution
Exploring Operation: 90-49=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 49+90=139, Resulting Numbers: [139]
139,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[58, 35, 52], Operations: ['84-32=52']
Exploring Operation: 58-52=6, Resulting Numbers: [35, 6]
Generated Node #0,2,0: 37:[35, 6] Operation: 58-52=6
Exploring Operation: 52-35=17, Resulting Numbers: [58, 17]
Generated Node #0,2,1: 37:[58, 17] Operation: 52-35=17
Exploring Operation: 58-35=23, Resulting Numbers: [52, 23]
Generated Node #0,2,2: 37:[52, 23] Operation: 58-35=23
Exploring Operation: 58+35=93, Resulting Numbers: [52, 93]
Generated Node #0,2,3: 37:[52, 93] Operation: 58+35=93
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 37:[52, 23], Operations: ['84-32=52', '58-35=23']
Exploring Operation: 52*23=1196, Resulting Numbers: [1196]
1196,37 unequal: No Solution
Exploring Operation: 52+23=75, Resulting Numbers: [75]
75,37 unequal: No Solution
Exploring Operation: 52-23=29, Resulting Numbers: [29]
29,37 unequal: No Solution
No 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: 37:[35, 6], Operations: ['84-32=52', '58-52=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 35*6=210, Resulting Numbers: [210]
210,37 unequal: No Solution
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,37 unequal: No Solution
No 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: 37:[58, 17], Operations: ['84-32=52', '52-35=17']
Exploring Operation: 58+17=75, Resulting Numbers: [75]
75,37 unequal: No Solution
Exploring Operation: 58*17=986, Resulting Numbers: [986]
986,37 unequal: No Solution
Exploring Operation: 58-17=41, Resulting Numbers: [41]
41,37 unequal: No Solution
No 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: 37:[52, 93], Operations: ['84-32=52', '58+35=93']
Exploring Operation: 52*93=4836, Resulting Numbers: [4836]
4836,37 unequal: No Solution
Exploring Operation: 52+93=145, Resulting Numbers: [145]
145,37 unequal: No Solution
Exploring Operation: 93-52=41, Resulting Numbers: [41]
41,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 37:[35, 84, 26], Operations: ['58-32=26']
Exploring Operation: 84-35=49, Resulting Numbers: [26, 49]
Generated Node #0,3,0: 37:[26, 49] Operation: 84-35=49
Exploring Operation: 84-26=58, Resulting Numbers: [35, 58]
Generated Node #0,3,1: 37:[35, 58] Operation: 84-26=58
Exploring Operation: 35-26=9, Resulting Numbers: [84, 9]
Generated Node #0,3,2: 37:[84, 9] Operation: 35-26=9
Exploring Operation: 35+26=61, Resulting Numbers: [84, 61]
Generated Node #0,3,3: 37:[84, 61] Operation: 35+26=61
Moving to Node #0,3,0
Current State: 37:[26, 49], Operations: ['58-32=26', '84-35=49']
Exploring Operation: 26+49=75, Resulting Numbers: [75]
75,37 unequal: No Solution
Exploring Operation: 26*49=1274, Resulting Numbers: [1274]
1274,37 unequal: No Solution
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Moving to Node #0,3,1
Current State: 37:[35, 58], Operations: ['58-32=26', '84-26=58']
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 35+58=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Exploring Operation: 35*58=2030, Resulting Numbers: [2030]
2030,37 unequal: No Solution
Moving to Node #0,3,3
Current State: 37:[84, 61], Operations: ['58-32=26', '35+26=61']
Exploring Operation: 84+61=145, Resulting Numbers: [145]
145,37 unequal: No Solution
Exploring Operation: 84-61=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 84*61=5124, Resulting Numbers: [5124]
5124,37 unequal: No Solution
Moving to Node #0,3,2
Current State: 37:[84, 9], Operations: ['58-32=26', '35-26=9']
Exploring Operation: 84+9=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,37 unequal: No Solution
Exploring Operation: 84*9=756, Resulting Numbers: [756]
756,37 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 |
[
10,
13,
55,
60
] | 14 | [
"13*60=780",
"780-10=770",
"770/55=14"
] | Current State: 14:[10, 13, 55, 60], Operations: []
Exploring Operation: 13*60=780, Resulting Numbers: [10, 55, 780]
Generated Node #2: [10, 55, 780] from Operation: 13*60=780
Current State: 14:[10, 55, 780], Operations: ['13*60=780']
Exploring Operation: 780-10=770, Resulting Numbers: [55, 770]
Generated Node #3: [55, 770] from Operation: 780-10=770
Current State: 14:[55, 770], Operations: ['13*60=780', '780-10=770']
Exploring Operation: 770/55=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[10, 13, 55, 60], Operations: []
Exploring Operation: 55-13=42, Resulting Numbers: [10, 60, 42]
Generated Node #0,0: 14:[10, 60, 42] Operation: 55-13=42
Exploring Operation: 60/10=6, Resulting Numbers: [13, 55, 6]
Generated Node #0,1: 14:[13, 55, 6] Operation: 60/10=6
Exploring Operation: 60-55=5, Resulting Numbers: [10, 13, 5]
Generated Node #0,2: 14:[10, 13, 5] Operation: 60-55=5
Moving to Node #0,2
Current State: 14:[10, 13, 5], Operations: ['60-55=5']
Exploring Operation: 13-10=3, Resulting Numbers: [5, 3]
Generated Node #0,2,0: 14:[5, 3] Operation: 13-10=3
Exploring Operation: 10/5=2, Resulting Numbers: [13, 2]
Generated Node #0,2,1: 14:[13, 2] Operation: 10/5=2
Exploring Operation: 10+5=15, Resulting Numbers: [13, 15]
Generated Node #0,2,2: 14:[13, 15] Operation: 10+5=15
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 14:[13, 2], Operations: ['60-55=5', '10/5=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[13, 15], Operations: ['60-55=5', '10+5=15']
Exploring Operation: 13*15=195, Resulting Numbers: [195]
195,14 unequal: No Solution
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,14 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[5, 3], Operations: ['60-55=5', '13-10=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,14 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: 14:[13, 55, 6], Operations: ['60/10=6']
Exploring Operation: 55-6=49, Resulting Numbers: [13, 49]
Generated Node #0,1,0: 14:[13, 49] Operation: 55-6=49
Exploring Operation: 55-13=42, Resulting Numbers: [6, 42]
Generated Node #0,1,1: 14:[6, 42] Operation: 55-13=42
Exploring Operation: 13-6=7, Resulting Numbers: [55, 7]
Generated Node #0,1,2: 14:[55, 7] Operation: 13-6=7
Moving to Node #0,0
Current State: 14:[10, 60, 42], Operations: ['55-13=42']
Exploring Operation: 60-42=18, Resulting Numbers: [10, 18]
Generated Node #0,0,0: 14:[10, 18] Operation: 60-42=18
Exploring Operation: 60/10=6, Resulting Numbers: [42, 6]
Generated Node #0,0,1: 14:[42, 6] Operation: 60/10=6
Exploring Operation: 60-10=50, Resulting Numbers: [42, 50]
Generated Node #0,0,2: 14:[42, 50] Operation: 60-10=50
Moving to Node #0,0,0
Current State: 14:[10, 18], Operations: ['55-13=42', '60-42=18']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,14 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,14 unequal: No Solution
Moving to Node #0,1,1
Current State: 14:[6, 42], Operations: ['60/10=6', '55-13=42']
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Moving to Node #0,0,1
Current State: 14:[42, 6], Operations: ['55-13=42', '60/10=6']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[13, 49], Operations: ['60/10=6', '55-6=49']
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 13*49=637, Resulting Numbers: [637]
637,14 unequal: No Solution
Exploring Operation: 13+49=62, Resulting Numbers: [62]
62,14 unequal: No Solution
Moving to Node #0,1,2
Current State: 14:[55, 7], Operations: ['60/10=6', '13-6=7']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,14 unequal: No Solution
Exploring Operation: 55*7=385, Resulting Numbers: [385]
385,14 unequal: No Solution
Moving to Node #0,0,2
Current State: 14:[42, 50], Operations: ['55-13=42', '60-10=50']
Exploring Operation: 42+50=92, Resulting Numbers: [92]
92,14 unequal: No Solution
Exploring Operation: 42*50=2100, Resulting Numbers: [2100]
2100,14 unequal: No Solution
Exploring Operation: 50-42=8, Resulting Numbers: [8]
8,14 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
94,
31,
22,
27
] | 61 | [
"27-22=5",
"31*5=155",
"155-94=61"
] | Current State: 61:[94, 31, 22, 27], Operations: []
Exploring Operation: 27-22=5, Resulting Numbers: [94, 31, 5]
Generated Node #2: [94, 31, 5] from Operation: 27-22=5
Current State: 61:[94, 31, 5], Operations: ['27-22=5']
Exploring Operation: 31*5=155, Resulting Numbers: [94, 155]
Generated Node #3: [94, 155] from Operation: 31*5=155
Current State: 61:[94, 155], Operations: ['27-22=5', '31*5=155']
Exploring Operation: 155-94=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[94, 31, 22, 27], Operations: []
Exploring Operation: 94-27=67, Resulting Numbers: [31, 22, 67]
Generated Node #0,0: 61:[31, 22, 67] Operation: 94-27=67
Exploring Operation: 31+22=53, Resulting Numbers: [94, 27, 53]
Generated Node #0,1: 61:[94, 27, 53] Operation: 31+22=53
Exploring Operation: 94-31=63, Resulting Numbers: [22, 27, 63]
Generated Node #0,2: 61:[22, 27, 63] Operation: 94-31=63
Exploring Operation: 94-22=72, Resulting Numbers: [31, 27, 72]
Generated Node #0,3: 61:[31, 27, 72] Operation: 94-22=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[31, 22, 67], Operations: ['94-27=67']
Exploring Operation: 31-22=9, Resulting Numbers: [67, 9]
Generated Node #0,0,0: 61:[67, 9] Operation: 31-22=9
Exploring Operation: 67-22=45, Resulting Numbers: [31, 45]
Generated Node #0,0,1: 61:[31, 45] Operation: 67-22=45
Exploring Operation: 31+22=53, Resulting Numbers: [67, 53]
Generated Node #0,0,2: 61:[67, 53] Operation: 31+22=53
Exploring Operation: 22+67=89, Resulting Numbers: [31, 89]
Generated Node #0,0,3: 61:[31, 89] Operation: 22+67=89
Moving to Node #0,0,2
Current State: 61:[67, 53], Operations: ['94-27=67', '31+22=53']
Exploring Operation: 67*53=3551, Resulting Numbers: [3551]
3551,61 unequal: No Solution
Exploring Operation: 67+53=120, Resulting Numbers: [120]
120,61 unequal: No Solution
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[31, 45], Operations: ['94-27=67', '67-22=45']
Exploring Operation: 31*45=1395, Resulting Numbers: [1395]
1395,61 unequal: No Solution
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 31+45=76, Resulting Numbers: [76]
76,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[31, 89], Operations: ['94-27=67', '22+67=89']
Exploring Operation: 89-31=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Exploring Operation: 31+89=120, Resulting Numbers: [120]
120,61 unequal: No Solution
Exploring Operation: 31*89=2759, Resulting Numbers: [2759]
2759,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[67, 9], Operations: ['94-27=67', '31-22=9']
Exploring Operation: 67+9=76, Resulting Numbers: [76]
76,61 unequal: No Solution
Exploring Operation: 67*9=603, Resulting Numbers: [603]
603,61 unequal: No Solution
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[94, 27, 53], Operations: ['31+22=53']
Exploring Operation: 94-53=41, Resulting Numbers: [27, 41]
Generated Node #0,1,0: 61:[27, 41] Operation: 94-53=41
Exploring Operation: 94+27=121, Resulting Numbers: [53, 121]
Generated Node #0,1,1: 61:[53, 121] Operation: 94+27=121
Exploring Operation: 94-27=67, Resulting Numbers: [53, 67]
Generated Node #0,1,2: 61:[53, 67] Operation: 94-27=67
Exploring Operation: 27+53=80, Resulting Numbers: [94, 80]
Generated Node #0,1,3: 61:[94, 80] Operation: 27+53=80
Moving to Node #0,1,2
Current State: 61:[53, 67], Operations: ['31+22=53', '94-27=67']
Exploring Operation: 53+67=120, Resulting Numbers: [120]
120,61 unequal: No Solution
Exploring Operation: 53*67=3551, Resulting Numbers: [3551]
3551,61 unequal: No Solution
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[94, 80], Operations: ['31+22=53', '27+53=80']
Exploring Operation: 94*80=7520, Resulting Numbers: [7520]
7520,61 unequal: No Solution
Exploring Operation: 94+80=174, Resulting Numbers: [174]
174,61 unequal: No Solution
Exploring Operation: 94-80=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[27, 41], Operations: ['31+22=53', '94-53=41']
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 27*41=1107, Resulting Numbers: [1107]
1107,61 unequal: No Solution
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[53, 121], Operations: ['31+22=53', '94+27=121']
Exploring Operation: 53*121=6413, Resulting Numbers: [6413]
6413,61 unequal: No Solution
Exploring Operation: 121-53=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 53+121=174, Resulting Numbers: [174]
174,61 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
Current State: 61:[22, 27, 63], Operations: ['94-31=63']
Exploring Operation: 22+27=49, Resulting Numbers: [63, 49]
Generated Node #0,2,0: 61:[63, 49] Operation: 22+27=49
Exploring Operation: 27-22=5, Resulting Numbers: [63, 5]
Generated Node #0,2,1: 61:[63, 5] Operation: 27-22=5
Exploring Operation: 22+63=85, Resulting Numbers: [27, 85]
Generated Node #0,2,2: 61:[27, 85] Operation: 22+63=85
Exploring Operation: 63-22=41, Resulting Numbers: [27, 41]
Generated Node #0,2,3: 61:[27, 41] Operation: 63-22=41
Moving to Node #0,2,0
Current State: 61:[63, 49], Operations: ['94-31=63', '22+27=49']
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 63+49=112, Resulting Numbers: [112]
112,61 unequal: No Solution
Exploring Operation: 63*49=3087, Resulting Numbers: [3087]
3087,61 unequal: No Solution
Moving to Node #0,2,3
Current State: 61:[27, 41], Operations: ['94-31=63', '63-22=41']
Exploring Operation: 27*41=1107, Resulting Numbers: [1107]
1107,61 unequal: No Solution
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[27, 85], Operations: ['94-31=63', '22+63=85']
Exploring Operation: 85-27=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Exploring Operation: 27*85=2295, Resulting Numbers: [2295]
2295,61 unequal: No Solution
Exploring Operation: 27+85=112, Resulting Numbers: [112]
112,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[63, 5], Operations: ['94-31=63', '27-22=5']
Exploring Operation: 63*5=315, Resulting Numbers: [315]
315,61 unequal: No Solution
Exploring Operation: 63+5=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,61 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 #0,3
Current State: 61:[31, 27, 72], Operations: ['94-22=72']
Exploring Operation: 31-27=4, Resulting Numbers: [72, 4]
Generated Node #0,3,0: 61:[72, 4] Operation: 31-27=4
Exploring Operation: 72-27=45, Resulting Numbers: [31, 45]
Generated Node #0,3,1: 61:[31, 45] Operation: 72-27=45
Exploring Operation: 72-31=41, Resulting Numbers: [27, 41]
Generated Node #0,3,2: 61:[27, 41] Operation: 72-31=41
Exploring Operation: 31+27=58, Resulting Numbers: [72, 58]
Generated Node #0,3,3: 61:[72, 58] Operation: 31+27=58
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 61:[72, 58], Operations: ['94-22=72', '31+27=58']
Exploring Operation: 72*58=4176, Resulting Numbers: [4176]
4176,61 unequal: No Solution
Exploring Operation: 72-58=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 72+58=130, Resulting Numbers: [130]
130,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 61:[31, 45], Operations: ['94-22=72', '72-27=45']
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 31*45=1395, Resulting Numbers: [1395]
1395,61 unequal: No Solution
Exploring Operation: 31+45=76, Resulting Numbers: [76]
76,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 61:[27, 41], Operations: ['94-22=72', '72-31=41']
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 27*41=1107, Resulting Numbers: [1107]
1107,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 61:[72, 4], Operations: ['94-22=72', '31-27=4']
Exploring Operation: 72*4=288, Resulting Numbers: [288]
288,61 unequal: No Solution
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,61 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
73,
35,
59,
33
] | 66 | [
"73+59=132",
"35-33=2",
"132/2=66"
] | Current State: 66:[73, 35, 59, 33], Operations: []
Exploring Operation: 73+59=132, Resulting Numbers: [35, 33, 132]
Generated Node #2: [35, 33, 132] from Operation: 73+59=132
Current State: 66:[35, 33, 132], Operations: ['73+59=132']
Exploring Operation: 35-33=2, Resulting Numbers: [132, 2]
Generated Node #3: [132, 2] from Operation: 35-33=2
Current State: 66:[132, 2], Operations: ['73+59=132', '35-33=2']
Exploring Operation: 132/2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[73, 35, 59, 33], Operations: []
Exploring Operation: 59-35=24, Resulting Numbers: [73, 33, 24]
Generated Node #0,0: 66:[73, 33, 24] Operation: 59-35=24
Exploring Operation: 73-59=14, Resulting Numbers: [35, 33, 14]
Generated Node #0,1: 66:[35, 33, 14] Operation: 73-59=14
Exploring Operation: 73-35=38, Resulting Numbers: [59, 33, 38]
Generated Node #0,2: 66:[59, 33, 38] Operation: 73-35=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[35, 33, 14], Operations: ['73-59=14']
Exploring Operation: 35-33=2, Resulting Numbers: [14, 2]
Generated Node #0,1,0: 66:[14, 2] Operation: 35-33=2
Exploring Operation: 35+33=68, Resulting Numbers: [14, 68]
Generated Node #0,1,1: 66:[14, 68] Operation: 35+33=68
Exploring Operation: 35-14=21, Resulting Numbers: [33, 21]
Generated Node #0,1,2: 66:[33, 21] Operation: 35-14=21
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 66:[33, 21], Operations: ['73-59=14', '35-14=21']
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 33*21=693, Resulting Numbers: [693]
693,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 66:[14, 2], Operations: ['73-59=14', '35-33=2']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 66:[14, 68], Operations: ['73-59=14', '35+33=68']
Exploring Operation: 14+68=82, Resulting Numbers: [82]
82,66 unequal: No Solution
Exploring Operation: 14*68=952, Resulting Numbers: [952]
952,66 unequal: No Solution
Exploring Operation: 68-14=54, Resulting Numbers: [54]
54,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[73, 33, 24], Operations: ['59-35=24']
Exploring Operation: 33-24=9, Resulting Numbers: [73, 9]
Generated Node #0,0,0: 66:[73, 9] Operation: 33-24=9
Exploring Operation: 73-33=40, Resulting Numbers: [24, 40]
Generated Node #0,0,1: 66:[24, 40] Operation: 73-33=40
Exploring Operation: 73-24=49, Resulting Numbers: [33, 49]
Generated Node #0,0,2: 66:[33, 49] Operation: 73-24=49
Moving to Node #0,0,0
Current State: 66:[73, 9], Operations: ['59-35=24', '33-24=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,66 unequal: No Solution
Exploring Operation: 73*9=657, Resulting Numbers: [657]
657,66 unequal: No Solution
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[24, 40], Operations: ['59-35=24', '73-33=40']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 24*40=960, Resulting Numbers: [960]
960,66 unequal: No Solution
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,66 unequal: No Solution
Moving to Node #0,0,2
Current State: 66:[33, 49], Operations: ['59-35=24', '73-24=49']
Exploring Operation: 33*49=1617, Resulting Numbers: [1617]
1617,66 unequal: No Solution
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 33+49=82, Resulting Numbers: [82]
82,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[59, 33, 38], Operations: ['73-35=38']
Exploring Operation: 59-33=26, Resulting Numbers: [38, 26]
Generated Node #0,2,0: 66:[38, 26] Operation: 59-33=26
Exploring Operation: 59-38=21, Resulting Numbers: [33, 21]
Generated Node #0,2,1: 66:[33, 21] Operation: 59-38=21
Exploring Operation: 38-33=5, Resulting Numbers: [59, 5]
Generated Node #0,2,2: 66:[59, 5] Operation: 38-33=5
Moving to Node #0,2,1
Current State: 66:[33, 21], Operations: ['73-35=38', '59-38=21']
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 33*21=693, Resulting Numbers: [693]
693,66 unequal: No Solution
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Moving to Node #0,2,2
Current State: 66:[59, 5], Operations: ['73-35=38', '38-33=5']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 59*5=295, Resulting Numbers: [295]
295,66 unequal: No Solution
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,66 unequal: No Solution
Moving to Node #0,2,0
Current State: 66:[38, 26], Operations: ['73-35=38', '59-33=26']
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 38*26=988, Resulting Numbers: [988]
988,66 unequal: No Solution
Exploring Operation: 38+26=64, Resulting Numbers: [64]
64,66 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 |
[
79,
60,
21,
22
] | 62 | [
"79-60=19",
"21+22=43",
"19+43=62"
] | Current State: 62:[79, 60, 21, 22], Operations: []
Exploring Operation: 79-60=19, Resulting Numbers: [21, 22, 19]
Generated Node #2: [21, 22, 19] from Operation: 79-60=19
Current State: 62:[21, 22, 19], Operations: ['79-60=19']
Exploring Operation: 21+22=43, Resulting Numbers: [19, 43]
Generated Node #3: [19, 43] from Operation: 21+22=43
Current State: 62:[19, 43], Operations: ['79-60=19', '21+22=43']
Exploring Operation: 19+43=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[79, 60, 21, 22], Operations: []
Exploring Operation: 79-60=19, Resulting Numbers: [21, 22, 19]
Generated Node #0,0: 62:[21, 22, 19] Operation: 79-60=19
Exploring Operation: 79-21=58, Resulting Numbers: [60, 22, 58]
Generated Node #0,1: 62:[60, 22, 58] Operation: 79-21=58
Exploring Operation: 22-21=1, Resulting Numbers: [79, 60, 1]
Generated Node #0,2: 62:[79, 60, 1] Operation: 22-21=1
Exploring Operation: 79-22=57, Resulting Numbers: [60, 21, 57]
Generated Node #0,3: 62:[60, 21, 57] Operation: 79-22=57
Moving to Node #0,1
Current State: 62:[60, 22, 58], Operations: ['79-21=58']
Exploring Operation: 58-22=36, Resulting Numbers: [60, 36]
Generated Node #0,1,0: 62:[60, 36] Operation: 58-22=36
Exploring Operation: 60-22=38, Resulting Numbers: [58, 38]
Generated Node #0,1,1: 62:[58, 38] Operation: 60-22=38
Exploring Operation: 22+58=80, Resulting Numbers: [60, 80]
Generated Node #0,1,2: 62:[60, 80] Operation: 22+58=80
Exploring Operation: 60-58=2, Resulting Numbers: [22, 2]
Generated Node #0,1,3: 62:[22, 2] Operation: 60-58=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[60, 36], Operations: ['79-21=58', '58-22=36']
Exploring Operation: 60*36=2160, Resulting Numbers: [2160]
2160,62 unequal: No Solution
Exploring Operation: 60+36=96, Resulting Numbers: [96]
96,62 unequal: No Solution
Exploring Operation: 60-36=24, Resulting Numbers: [24]
24,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 62:[22, 2], Operations: ['79-21=58', '60-58=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,62 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,62 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[58, 38], Operations: ['79-21=58', '60-22=38']
Exploring Operation: 58*38=2204, Resulting Numbers: [2204]
2204,62 unequal: No Solution
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,62 unequal: No Solution
Exploring Operation: 58+38=96, Resulting Numbers: [96]
96,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[60, 80], Operations: ['79-21=58', '22+58=80']
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,62 unequal: No Solution
Exploring Operation: 60+80=140, Resulting Numbers: [140]
140,62 unequal: No Solution
Exploring Operation: 60*80=4800, Resulting Numbers: [4800]
4800,62 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: 62:[60, 21, 57], Operations: ['79-22=57']
Exploring Operation: 57-21=36, Resulting Numbers: [60, 36]
Generated Node #0,3,0: 62:[60, 36] Operation: 57-21=36
Exploring Operation: 60-21=39, Resulting Numbers: [57, 39]
Generated Node #0,3,1: 62:[57, 39] Operation: 60-21=39
Exploring Operation: 60-57=3, Resulting Numbers: [21, 3]
Generated Node #0,3,2: 62:[21, 3] Operation: 60-57=3
Exploring Operation: 21+57=78, Resulting Numbers: [60, 78]
Generated Node #0,3,3: 62:[60, 78] Operation: 21+57=78
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 62:[60, 36], Operations: ['79-22=57', '57-21=36']
Exploring Operation: 60+36=96, Resulting Numbers: [96]
96,62 unequal: No Solution
Exploring Operation: 60-36=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 60*36=2160, Resulting Numbers: [2160]
2160,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 62:[21, 3], Operations: ['79-22=57', '60-57=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,62 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 62:[57, 39], Operations: ['79-22=57', '60-21=39']
Exploring Operation: 57*39=2223, Resulting Numbers: [2223]
2223,62 unequal: No Solution
Exploring Operation: 57+39=96, Resulting Numbers: [96]
96,62 unequal: No Solution
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 62:[60, 78], Operations: ['79-22=57', '21+57=78']
Exploring Operation: 60*78=4680, Resulting Numbers: [4680]
4680,62 unequal: No Solution
Exploring Operation: 60+78=138, Resulting Numbers: [138]
138,62 unequal: No Solution
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,62 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: 62:[79, 60, 1], Operations: ['22-21=1']
Exploring Operation: 79-60=19, Resulting Numbers: [1, 19]
Generated Node #0,2,0: 62:[1, 19] Operation: 79-60=19
Exploring Operation: 60+1=61, Resulting Numbers: [79, 61]
Generated Node #0,2,1: 62:[79, 61] Operation: 60+1=61
Exploring Operation: 79-1=78, Resulting Numbers: [60, 78]
Generated Node #0,2,2: 62:[60, 78] Operation: 79-1=78
Exploring Operation: 79*1=79, Resulting Numbers: [60, 79]
Generated Node #0,2,3: 62:[60, 79] Operation: 79*1=79
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[1, 19], Operations: ['22-21=1', '79-60=19']
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,62 unequal: No Solution
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,62 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 62:[79, 61], Operations: ['22-21=1', '60+1=61']
Exploring Operation: 79-61=18, Resulting Numbers: [18]
18,62 unequal: No Solution
Exploring Operation: 79*61=4819, Resulting Numbers: [4819]
4819,62 unequal: No Solution
Exploring Operation: 79+61=140, Resulting Numbers: [140]
140,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 62:[60, 78], Operations: ['22-21=1', '79-1=78']
Exploring Operation: 60+78=138, Resulting Numbers: [138]
138,62 unequal: No Solution
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,62 unequal: No Solution
Exploring Operation: 60*78=4680, Resulting Numbers: [4680]
4680,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 62:[60, 79], Operations: ['22-21=1', '79*1=79']
Exploring Operation: 60*79=4740, Resulting Numbers: [4740]
4740,62 unequal: No Solution
Exploring Operation: 79-60=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 60+79=139, Resulting Numbers: [139]
139,62 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: 62:[21, 22, 19], Operations: ['79-60=19']
Exploring Operation: 22-19=3, Resulting Numbers: [21, 3]
Generated Node #0,0,0: 62:[21, 3] Operation: 22-19=3
Exploring Operation: 21-19=2, Resulting Numbers: [22, 2]
Generated Node #0,0,1: 62:[22, 2] Operation: 21-19=2
Exploring Operation: 21+19=40, Resulting Numbers: [22, 40]
Generated Node #0,0,2: 62:[22, 40] Operation: 21+19=40
Exploring Operation: 22-21=1, Resulting Numbers: [19, 1]
Generated Node #0,0,3: 62:[19, 1] Operation: 22-21=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[22, 2], Operations: ['79-60=19', '21-19=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,62 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,62 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[21, 3], Operations: ['79-60=19', '22-19=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,62 unequal: No Solution
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 62:[19, 1], Operations: ['79-60=19', '22-21=1']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,62 unequal: No Solution
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[22, 40], Operations: ['79-60=19', '21+19=40']
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,62 unequal: No Solution
Exploring Operation: 22*40=880, Resulting Numbers: [880]
880,62 unequal: No Solution
Exploring Operation: 22+40=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[79, 60, 21, 22], Operations: []
Exploring Operation: 79-60=19, Resulting Numbers: [21, 22, 19]
Generated Node #0,0: 62:[21, 22, 19] Operation: 79-60=19
Moving to Node #0,0
Current State: 62:[21, 22, 19], Operations: ['79-60=19']
Exploring Operation: 21+19=40, Resulting Numbers: [22, 40]
Generated Node #0,0,2: 62:[22, 40] Operation: 21+19=40
Moving to Node #0,0,2
Current State: 62:[22, 40], Operations: ['79-60=19', '21+19=40']
Exploring Operation: 22+40=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.932292 | hs_4 | mult_heuristic |
[
68,
40,
27,
44
] | 47 | [
"68*27=1836",
"44+1836=1880",
"1880/40=47"
] | Current State: 47:[68, 40, 27, 44], Operations: []
Exploring Operation: 68*27=1836, Resulting Numbers: [40, 44, 1836]
Generated Node #2: [40, 44, 1836] from Operation: 68*27=1836
Current State: 47:[40, 44, 1836], Operations: ['68*27=1836']
Exploring Operation: 44+1836=1880, Resulting Numbers: [40, 1880]
Generated Node #3: [40, 1880] from Operation: 44+1836=1880
Current State: 47:[40, 1880], Operations: ['68*27=1836', '44+1836=1880']
Exploring Operation: 1880/40=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[68, 40, 27, 44], Operations: []
Exploring Operation: 68-40=28, Resulting Numbers: [27, 44, 28]
Generated Node #0,0: 47:[27, 44, 28] Operation: 68-40=28
Exploring Operation: 68-27=41, Resulting Numbers: [40, 44, 41]
Generated Node #0,1: 47:[40, 44, 41] Operation: 68-27=41
Exploring Operation: 68-44=24, Resulting Numbers: [40, 27, 24]
Generated Node #0,2: 47:[40, 27, 24] Operation: 68-44=24
Exploring Operation: 40+27=67, Resulting Numbers: [68, 44, 67]
Generated Node #0,3: 47:[68, 44, 67] Operation: 40+27=67
Moving to Node #0,1
Current State: 47:[40, 44, 41], Operations: ['68-27=41']
Exploring Operation: 40+44=84, Resulting Numbers: [41, 84]
Generated Node #0,1,0: 47:[41, 84] Operation: 40+44=84
Exploring Operation: 44+41=85, Resulting Numbers: [40, 85]
Generated Node #0,1,1: 47:[40, 85] Operation: 44+41=85
Exploring Operation: 44-40=4, Resulting Numbers: [41, 4]
Generated Node #0,1,2: 47:[41, 4] Operation: 44-40=4
Exploring Operation: 40+41=81, Resulting Numbers: [44, 81]
Generated Node #0,1,3: 47:[44, 81] Operation: 40+41=81
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 47:[44, 81], Operations: ['68-27=41', '40+41=81']
Exploring Operation: 44*81=3564, Resulting Numbers: [3564]
3564,47 unequal: No Solution
Exploring Operation: 44+81=125, Resulting Numbers: [125]
125,47 unequal: No Solution
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[41, 84], Operations: ['68-27=41', '40+44=84']
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 41*84=3444, Resulting Numbers: [3444]
3444,47 unequal: No Solution
Exploring Operation: 41+84=125, Resulting Numbers: [125]
125,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[40, 85], Operations: ['68-27=41', '44+41=85']
Exploring Operation: 40*85=3400, Resulting Numbers: [3400]
3400,47 unequal: No Solution
Exploring Operation: 40+85=125, Resulting Numbers: [125]
125,47 unequal: No Solution
Exploring Operation: 85-40=45, Resulting Numbers: [45]
45,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[41, 4], Operations: ['68-27=41', '44-40=4']
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,47 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,47 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: 47:[27, 44, 28], Operations: ['68-40=28']
Exploring Operation: 27+44=71, Resulting Numbers: [28, 71]
Generated Node #0,0,0: 47:[28, 71] Operation: 27+44=71
Exploring Operation: 44+28=72, Resulting Numbers: [27, 72]
Generated Node #0,0,1: 47:[27, 72] Operation: 44+28=72
Exploring Operation: 44-27=17, Resulting Numbers: [28, 17]
Generated Node #0,0,2: 47:[28, 17] Operation: 44-27=17
Exploring Operation: 27+28=55, Resulting Numbers: [44, 55]
Generated Node #0,0,3: 47:[44, 55] Operation: 27+28=55
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 47:[44, 55], Operations: ['68-40=28', '27+28=55']
Exploring Operation: 44+55=99, Resulting Numbers: [99]
99,47 unequal: No Solution
Exploring Operation: 55-44=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Exploring Operation: 44*55=2420, Resulting Numbers: [2420]
2420,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[28, 71], Operations: ['68-40=28', '27+44=71']
Exploring Operation: 28+71=99, Resulting Numbers: [99]
99,47 unequal: No Solution
Exploring Operation: 28*71=1988, Resulting Numbers: [1988]
1988,47 unequal: No Solution
Exploring Operation: 71-28=43, Resulting Numbers: [43]
43,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[27, 72], Operations: ['68-40=28', '44+28=72']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 27+72=99, Resulting Numbers: [99]
99,47 unequal: No Solution
Exploring Operation: 27*72=1944, Resulting Numbers: [1944]
1944,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[28, 17], Operations: ['68-40=28', '44-27=17']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Exploring Operation: 28*17=476, Resulting Numbers: [476]
476,47 unequal: No Solution
Exploring Operation: 28+17=45, Resulting Numbers: [45]
45,47 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: 47:[68, 44, 67], Operations: ['40+27=67']
Exploring Operation: 68+44=112, Resulting Numbers: [67, 112]
Generated Node #0,3,0: 47:[67, 112] Operation: 68+44=112
Exploring Operation: 67-44=23, Resulting Numbers: [68, 23]
Generated Node #0,3,1: 47:[68, 23] Operation: 67-44=23
Exploring Operation: 68-67=1, Resulting Numbers: [44, 1]
Generated Node #0,3,2: 47:[44, 1] Operation: 68-67=1
Exploring Operation: 68-44=24, Resulting Numbers: [67, 24]
Generated Node #0,3,3: 47:[67, 24] Operation: 68-44=24
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 47:[67, 24], Operations: ['40+27=67', '68-44=24']
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 67*24=1608, Resulting Numbers: [1608]
1608,47 unequal: No Solution
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 47:[68, 23], Operations: ['40+27=67', '67-44=23']
Exploring Operation: 68-23=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 68+23=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Exploring Operation: 68*23=1564, Resulting Numbers: [1564]
1564,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 47:[44, 1], Operations: ['40+27=67', '68-67=1']
Exploring Operation: 44/1=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 47:[67, 112], Operations: ['40+27=67', '68+44=112']
Exploring Operation: 67*112=7504, Resulting Numbers: [7504]
7504,47 unequal: No Solution
Exploring Operation: 67+112=179, Resulting Numbers: [179]
179,47 unequal: No Solution
Exploring Operation: 112-67=45, Resulting Numbers: [45]
45,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 47:[40, 27, 24], Operations: ['68-44=24']
Exploring Operation: 40+24=64, Resulting Numbers: [27, 64]
Generated Node #0,2,0: 47:[27, 64] Operation: 40+24=64
Exploring Operation: 27+24=51, Resulting Numbers: [40, 51]
Generated Node #0,2,1: 47:[40, 51] Operation: 27+24=51
Exploring Operation: 40-24=16, Resulting Numbers: [27, 16]
Generated Node #0,2,2: 47:[27, 16] Operation: 40-24=16
Exploring Operation: 40+27=67, Resulting Numbers: [24, 67]
Generated Node #0,2,3: 47:[24, 67] Operation: 40+27=67
Moving to Node #0,2,1
Current State: 47:[40, 51], Operations: ['68-44=24', '27+24=51']
Exploring Operation: 40+51=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Exploring Operation: 40*51=2040, Resulting Numbers: [2040]
2040,47 unequal: No Solution
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Moving to Node #0,2,0
Current State: 47:[27, 64], Operations: ['68-44=24', '40+24=64']
Exploring Operation: 27*64=1728, Resulting Numbers: [1728]
1728,47 unequal: No Solution
Exploring Operation: 27+64=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,47 unequal: No Solution
Moving to Node #0,2,3
Current State: 47:[24, 67], Operations: ['68-44=24', '40+27=67']
Exploring Operation: 24*67=1608, Resulting Numbers: [1608]
1608,47 unequal: No Solution
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 24+67=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[27, 16], Operations: ['68-44=24', '40-24=16']
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,47 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,47 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
69,
20,
28,
46
] | 25 | [
"69-20=49",
"28+46=74",
"74-49=25"
] | Current State: 25:[69, 20, 28, 46], Operations: []
Exploring Operation: 69-20=49, Resulting Numbers: [28, 46, 49]
Generated Node #2: [28, 46, 49] from Operation: 69-20=49
Current State: 25:[28, 46, 49], Operations: ['69-20=49']
Exploring Operation: 28+46=74, Resulting Numbers: [49, 74]
Generated Node #3: [49, 74] from Operation: 28+46=74
Current State: 25:[49, 74], Operations: ['69-20=49', '28+46=74']
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[69, 20, 28, 46], Operations: []
Exploring Operation: 69-46=23, Resulting Numbers: [20, 28, 23]
Generated Node #0,0: 25:[20, 28, 23] Operation: 69-46=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[20, 28, 23], Operations: ['69-46=23']
Exploring Operation: 28-20=8, Resulting Numbers: [23, 8]
Generated Node #0,0,0: 25:[23, 8] Operation: 28-20=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[23, 8], Operations: ['69-46=23', '28-20=8']
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
28,
64,
95,
82
] | 96 | [
"28+95=123",
"64*123=7872",
"7872/82=96"
] | Current State: 96:[28, 64, 95, 82], Operations: []
Exploring Operation: 28+95=123, Resulting Numbers: [64, 82, 123]
Generated Node #2: [64, 82, 123] from Operation: 28+95=123
Current State: 96:[64, 82, 123], Operations: ['28+95=123']
Exploring Operation: 64*123=7872, Resulting Numbers: [82, 7872]
Generated Node #3: [82, 7872] from Operation: 64*123=7872
Current State: 96:[82, 7872], Operations: ['28+95=123', '64*123=7872']
Exploring Operation: 7872/82=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[28, 64, 95, 82], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [95, 82, 36]
Generated Node #0,0: 96:[95, 82, 36] Operation: 64-28=36
Exploring Operation: 95-64=31, Resulting Numbers: [28, 82, 31]
Generated Node #0,1: 96:[28, 82, 31] Operation: 95-64=31
Exploring Operation: 82-64=18, Resulting Numbers: [28, 95, 18]
Generated Node #0,2: 96:[28, 95, 18] Operation: 82-64=18
Exploring Operation: 28+64=92, Resulting Numbers: [95, 82, 92]
Generated Node #0,3: 96:[95, 82, 92] Operation: 28+64=92
Moving to Node #0,2
Current State: 96:[28, 95, 18], Operations: ['82-64=18']
Exploring Operation: 28-18=10, Resulting Numbers: [95, 10]
Generated Node #0,2,0: 96:[95, 10] Operation: 28-18=10
Exploring Operation: 95+18=113, Resulting Numbers: [28, 113]
Generated Node #0,2,1: 96:[28, 113] Operation: 95+18=113
Exploring Operation: 28+18=46, Resulting Numbers: [95, 46]
Generated Node #0,2,2: 96:[95, 46] Operation: 28+18=46
Exploring Operation: 95-28=67, Resulting Numbers: [18, 67]
Generated Node #0,2,3: 96:[18, 67] Operation: 95-28=67
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 96:[95, 10], Operations: ['82-64=18', '28-18=10']
Exploring Operation: 95+10=105, Resulting Numbers: [105]
105,96 unequal: No Solution
Exploring Operation: 95-10=85, Resulting Numbers: [85]
85,96 unequal: No Solution
Exploring Operation: 95*10=950, Resulting Numbers: [950]
950,96 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:[95, 46], Operations: ['82-64=18', '28+18=46']
Exploring Operation: 95-46=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 95*46=4370, Resulting Numbers: [4370]
4370,96 unequal: No Solution
Exploring Operation: 95+46=141, Resulting Numbers: [141]
141,96 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:[28, 113], Operations: ['82-64=18', '95+18=113']
Exploring Operation: 28*113=3164, Resulting Numbers: [3164]
3164,96 unequal: No Solution
Exploring Operation: 28+113=141, Resulting Numbers: [141]
141,96 unequal: No Solution
Exploring Operation: 113-28=85, Resulting Numbers: [85]
85,96 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 #0,2,3
Current State: 96:[18, 67], Operations: ['82-64=18', '95-28=67']
Exploring Operation: 18*67=1206, Resulting Numbers: [1206]
1206,96 unequal: No Solution
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 18+67=85, Resulting Numbers: [85]
85,96 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: 96:[28, 82, 31], Operations: ['95-64=31']
Exploring Operation: 82-28=54, Resulting Numbers: [31, 54]
Generated Node #0,1,0: 96:[31, 54] Operation: 82-28=54
Exploring Operation: 82-31=51, Resulting Numbers: [28, 51]
Generated Node #0,1,1: 96:[28, 51] Operation: 82-31=51
Exploring Operation: 28+82=110, Resulting Numbers: [31, 110]
Generated Node #0,1,2: 96:[31, 110] Operation: 28+82=110
Exploring Operation: 31-28=3, Resulting Numbers: [82, 3]
Generated Node #0,1,3: 96:[82, 3] Operation: 31-28=3
Moving to Node #0,0
Current State: 96:[95, 82, 36], Operations: ['64-28=36']
Exploring Operation: 95-36=59, Resulting Numbers: [82, 59]
Generated Node #0,0,0: 96:[82, 59] Operation: 95-36=59
Exploring Operation: 95-82=13, Resulting Numbers: [36, 13]
Generated Node #0,0,1: 96:[36, 13] Operation: 95-82=13
Exploring Operation: 82-36=46, Resulting Numbers: [95, 46]
Generated Node #0,0,2: 96:[95, 46] Operation: 82-36=46
Exploring Operation: 82+36=118, Resulting Numbers: [95, 118]
Generated Node #0,0,3: 96:[95, 118] Operation: 82+36=118
Moving to Node #0,3
Current State: 96:[95, 82, 92], Operations: ['28+64=92']
Exploring Operation: 95-92=3, Resulting Numbers: [82, 3]
Generated Node #0,3,0: 96:[82, 3] Operation: 95-92=3
Exploring Operation: 95-82=13, Resulting Numbers: [92, 13]
Generated Node #0,3,1: 96:[92, 13] Operation: 95-82=13
Exploring Operation: 82+92=174, Resulting Numbers: [95, 174]
Generated Node #0,3,2: 96:[95, 174] Operation: 82+92=174
Exploring Operation: 92-82=10, Resulting Numbers: [95, 10]
Generated Node #0,3,3: 96:[95, 10] Operation: 92-82=10
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 96:[95, 10], Operations: ['28+64=92', '92-82=10']
Exploring Operation: 95-10=85, Resulting Numbers: [85]
85,96 unequal: No Solution
Exploring Operation: 95*10=950, Resulting Numbers: [950]
950,96 unequal: No Solution
Exploring Operation: 95+10=105, Resulting Numbers: [105]
105,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 96:[92, 13], Operations: ['28+64=92', '95-82=13']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,96 unequal: No Solution
Exploring Operation: 92+13=105, Resulting Numbers: [105]
105,96 unequal: No Solution
Exploring Operation: 92*13=1196, Resulting Numbers: [1196]
1196,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 96:[82, 3], Operations: ['28+64=92', '95-92=3']
Exploring Operation: 82*3=246, Resulting Numbers: [246]
246,96 unequal: No Solution
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,96 unequal: No Solution
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 96:[95, 174], Operations: ['28+64=92', '82+92=174']
Exploring Operation: 95+174=269, Resulting Numbers: [269]
269,96 unequal: No Solution
Exploring Operation: 174-95=79, Resulting Numbers: [79]
79,96 unequal: No Solution
Exploring Operation: 95*174=16530, Resulting Numbers: [16530]
16530,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 96:[95, 46], Operations: ['64-28=36', '82-36=46']
Exploring Operation: 95+46=141, Resulting Numbers: [141]
141,96 unequal: No Solution
Exploring Operation: 95*46=4370, Resulting Numbers: [4370]
4370,96 unequal: No Solution
Exploring Operation: 95-46=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[36, 13], Operations: ['64-28=36', '95-82=13']
Exploring Operation: 36+13=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 36*13=468, Resulting Numbers: [468]
468,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[31, 54], Operations: ['95-64=31', '82-28=54']
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 31*54=1674, Resulting Numbers: [1674]
1674,96 unequal: No Solution
Exploring Operation: 31+54=85, Resulting Numbers: [85]
85,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[28, 51], Operations: ['95-64=31', '82-31=51']
Exploring Operation: 28*51=1428, Resulting Numbers: [1428]
1428,96 unequal: No Solution
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 28+51=79, Resulting Numbers: [79]
79,96 unequal: No Solution
Moving to Node #0,1,3
Current State: 96:[82, 3], Operations: ['95-64=31', '31-28=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,96 unequal: No Solution
Exploring Operation: 82*3=246, Resulting Numbers: [246]
246,96 unequal: No Solution
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[31, 110], Operations: ['95-64=31', '28+82=110']
Exploring Operation: 31*110=3410, Resulting Numbers: [3410]
3410,96 unequal: No Solution
Exploring Operation: 31+110=141, Resulting Numbers: [141]
141,96 unequal: No Solution
Exploring Operation: 110-31=79, Resulting Numbers: [79]
79,96 unequal: No Solution
Moving to Node #0,0,3
Current State: 96:[95, 118], Operations: ['64-28=36', '82+36=118']
Exploring Operation: 95*118=11210, Resulting Numbers: [11210]
11210,96 unequal: No Solution
Exploring Operation: 118-95=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 95+118=213, Resulting Numbers: [213]
213,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[82, 59], Operations: ['64-28=36', '95-36=59']
Exploring Operation: 82-59=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 82*59=4838, Resulting Numbers: [4838]
4838,96 unequal: No Solution
Exploring Operation: 82+59=141, Resulting Numbers: [141]
141,96 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
48,
35,
20,
8
] | 37 | [
"48-8=40",
"40/20=2",
"35+2=37"
] | Current State: 37:[48, 35, 20, 8], Operations: []
Exploring Operation: 48-8=40, Resulting Numbers: [35, 20, 40]
Generated Node #2: [35, 20, 40] from Operation: 48-8=40
Current State: 37:[35, 20, 40], Operations: ['48-8=40']
Exploring Operation: 40/20=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 40/20=2
Current State: 37:[35, 2], Operations: ['48-8=40', '40/20=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[48, 35, 20, 8], Operations: []
Exploring Operation: 35+8=43, Resulting Numbers: [48, 20, 43]
Generated Node #0,0: 37:[48, 20, 43] Operation: 35+8=43
Exploring Operation: 48-8=40, Resulting Numbers: [35, 20, 40]
Generated Node #0,1: 37:[35, 20, 40] Operation: 48-8=40
Exploring Operation: 48+8=56, Resulting Numbers: [35, 20, 56]
Generated Node #0,2: 37:[35, 20, 56] Operation: 48+8=56
Exploring Operation: 20+8=28, Resulting Numbers: [48, 35, 28]
Generated Node #0,3: 37:[48, 35, 28] Operation: 20+8=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[35, 20, 40], Operations: ['48-8=40']
Exploring Operation: 35+20=55, Resulting Numbers: [40, 55]
Generated Node #0,1,0: 37:[40, 55] Operation: 35+20=55
Exploring Operation: 20+40=60, Resulting Numbers: [35, 60]
Generated Node #0,1,1: 37:[35, 60] Operation: 20+40=60
Exploring Operation: 40-20=20, Resulting Numbers: [35, 20]
Generated Node #0,1,2: 37:[35, 20] Operation: 40-20=20
Exploring Operation: 35-20=15, Resulting Numbers: [40, 15]
Generated Node #0,1,3: 37:[40, 15] Operation: 35-20=15
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 37:[35, 20], Operations: ['48-8=40', '40-20=20']
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 35*20=700, Resulting Numbers: [700]
700,37 unequal: No Solution
No 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: 37:[40, 55], Operations: ['48-8=40', '35+20=55']
Exploring Operation: 55-40=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 40+55=95, Resulting Numbers: [95]
95,37 unequal: No Solution
Exploring Operation: 40*55=2200, Resulting Numbers: [2200]
2200,37 unequal: No Solution
No 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: 37:[35, 60], Operations: ['48-8=40', '20+40=60']
Exploring Operation: 60-35=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 35*60=2100, Resulting Numbers: [2100]
2100,37 unequal: No Solution
Exploring Operation: 35+60=95, Resulting Numbers: [95]
95,37 unequal: No Solution
No 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: 37:[40, 15], Operations: ['48-8=40', '35-20=15']
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 40+15=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Exploring Operation: 40*15=600, Resulting Numbers: [600]
600,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 37:[48, 35, 28], Operations: ['20+8=28']
Exploring Operation: 48-35=13, Resulting Numbers: [28, 13]
Generated Node #0,3,0: 37:[28, 13] Operation: 48-35=13
Exploring Operation: 48-28=20, Resulting Numbers: [35, 20]
Generated Node #0,3,1: 37:[35, 20] Operation: 48-28=20
Exploring Operation: 48+28=76, Resulting Numbers: [35, 76]
Generated Node #0,3,2: 37:[35, 76] Operation: 48+28=76
Exploring Operation: 35+28=63, Resulting Numbers: [48, 63]
Generated Node #0,3,3: 37:[48, 63] Operation: 35+28=63
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 37:[35, 20], Operations: ['20+8=28', '48-28=20']
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 35*20=700, Resulting Numbers: [700]
700,37 unequal: No Solution
No 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: 37:[28, 13], Operations: ['20+8=28', '48-35=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,37 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,37 unequal: No Solution
No 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: 37:[48, 63], Operations: ['20+8=28', '35+28=63']
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 48+63=111, Resulting Numbers: [111]
111,37 unequal: No Solution
Exploring Operation: 48*63=3024, Resulting Numbers: [3024]
3024,37 unequal: No Solution
No 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: 37:[35, 76], Operations: ['20+8=28', '48+28=76']
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 35*76=2660, Resulting Numbers: [2660]
2660,37 unequal: No Solution
Exploring Operation: 35+76=111, Resulting Numbers: [111]
111,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[48, 20, 43], Operations: ['35+8=43']
Exploring Operation: 43-20=23, Resulting Numbers: [48, 23]
Generated Node #0,0,0: 37:[48, 23] Operation: 43-20=23
Exploring Operation: 48-20=28, Resulting Numbers: [43, 28]
Generated Node #0,0,1: 37:[43, 28] Operation: 48-20=28
Exploring Operation: 48+20=68, Resulting Numbers: [43, 68]
Generated Node #0,0,2: 37:[43, 68] Operation: 48+20=68
Exploring Operation: 20+43=63, Resulting Numbers: [48, 63]
Generated Node #0,0,3: 37:[48, 63] Operation: 20+43=63
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 37:[43, 28], Operations: ['35+8=43', '48-20=28']
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,37 unequal: No Solution
Exploring Operation: 43*28=1204, Resulting Numbers: [1204]
1204,37 unequal: No Solution
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,37 unequal: No Solution
No 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: 37:[48, 23], Operations: ['35+8=43', '43-20=23']
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,37 unequal: No Solution
Exploring Operation: 48*23=1104, Resulting Numbers: [1104]
1104,37 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,37 unequal: No Solution
No 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: 37:[43, 68], Operations: ['35+8=43', '48+20=68']
Exploring Operation: 43+68=111, Resulting Numbers: [111]
111,37 unequal: No Solution
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 43*68=2924, Resulting Numbers: [2924]
2924,37 unequal: No Solution
No 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: 37:[48, 63], Operations: ['35+8=43', '20+43=63']
Exploring Operation: 48*63=3024, Resulting Numbers: [3024]
3024,37 unequal: No Solution
Exploring Operation: 48+63=111, Resulting Numbers: [111]
111,37 unequal: No Solution
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[35, 20, 56], Operations: ['48+8=56']
Exploring Operation: 56-35=21, Resulting Numbers: [20, 21]
Generated Node #0,2,0: 37:[20, 21] Operation: 56-35=21
Exploring Operation: 35-20=15, Resulting Numbers: [56, 15]
Generated Node #0,2,1: 37:[56, 15] Operation: 35-20=15
Exploring Operation: 56-20=36, Resulting Numbers: [35, 36]
Generated Node #0,2,2: 37:[35, 36] Operation: 56-20=36
Exploring Operation: 35+20=55, Resulting Numbers: [56, 55]
Generated Node #0,2,3: 37:[56, 55] Operation: 35+20=55
Moving to Node #0,2,2
Current State: 37:[35, 36], Operations: ['48+8=56', '56-20=36']
Exploring Operation: 35+36=71, Resulting Numbers: [71]
71,37 unequal: No Solution
Exploring Operation: 35*36=1260, Resulting Numbers: [1260]
1260,37 unequal: No Solution
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[20, 21], Operations: ['48+8=56', '56-35=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,37 unequal: No Solution
Moving to Node #0,2,3
Current State: 37:[56, 55], Operations: ['48+8=56', '35+20=55']
Exploring Operation: 56-55=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 56*55=3080, Resulting Numbers: [3080]
3080,37 unequal: No Solution
Exploring Operation: 56+55=111, Resulting Numbers: [111]
111,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[56, 15], Operations: ['48+8=56', '35-20=15']
Exploring Operation: 56*15=840, Resulting Numbers: [840]
840,37 unequal: No Solution
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 56+15=71, Resulting Numbers: [71]
71,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
46,
26,
77,
14
] | 97 | [
"26*77=2002",
"2002/14=143",
"143-46=97"
] | Current State: 97:[46, 26, 77, 14], Operations: []
Exploring Operation: 26*77=2002, Resulting Numbers: [46, 14, 2002]
Generated Node #2: [46, 14, 2002] from Operation: 26*77=2002
Current State: 97:[46, 14, 2002], Operations: ['26*77=2002']
Exploring Operation: 2002/14=143, Resulting Numbers: [46, 143]
Generated Node #3: [46, 143] from Operation: 2002/14=143
Current State: 97:[46, 143], Operations: ['26*77=2002', '2002/14=143']
Exploring Operation: 143-46=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[46, 26, 77, 14], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [46, 77, 40]
Generated Node #0,0: 97:[46, 77, 40] Operation: 26+14=40
Exploring Operation: 46+26=72, Resulting Numbers: [77, 14, 72]
Generated Node #0,1: 97:[77, 14, 72] Operation: 46+26=72
Exploring Operation: 46+14=60, Resulting Numbers: [26, 77, 60]
Generated Node #0,2: 97:[26, 77, 60] Operation: 46+14=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[46, 77, 40], Operations: ['26+14=40']
Exploring Operation: 77+40=117, Resulting Numbers: [46, 117]
Generated Node #0,0,0: 97:[46, 117] Operation: 77+40=117
Exploring Operation: 46+77=123, Resulting Numbers: [40, 123]
Generated Node #0,0,1: 97:[40, 123] Operation: 46+77=123
Exploring Operation: 46+40=86, Resulting Numbers: [77, 86]
Generated Node #0,0,2: 97:[77, 86] Operation: 46+40=86
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[77, 86], Operations: ['26+14=40', '46+40=86']
Exploring Operation: 86-77=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Exploring Operation: 77+86=163, Resulting Numbers: [163]
163,97 unequal: No Solution
Exploring Operation: 77*86=6622, Resulting Numbers: [6622]
6622,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[46, 117], Operations: ['26+14=40', '77+40=117']
Exploring Operation: 46*117=5382, Resulting Numbers: [5382]
5382,97 unequal: No Solution
Exploring Operation: 46+117=163, Resulting Numbers: [163]
163,97 unequal: No Solution
Exploring Operation: 117-46=71, Resulting Numbers: [71]
71,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[40, 123], Operations: ['26+14=40', '46+77=123']
Exploring Operation: 40+123=163, Resulting Numbers: [163]
163,97 unequal: No Solution
Exploring Operation: 40*123=4920, Resulting Numbers: [4920]
4920,97 unequal: No Solution
Exploring Operation: 123-40=83, Resulting Numbers: [83]
83,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[77, 14, 72], Operations: ['46+26=72']
Exploring Operation: 77+14=91, Resulting Numbers: [72, 91]
Generated Node #0,1,0: 97:[72, 91] Operation: 77+14=91
Exploring Operation: 77-14=63, Resulting Numbers: [72, 63]
Generated Node #0,1,1: 97:[72, 63] Operation: 77-14=63
Exploring Operation: 14+72=86, Resulting Numbers: [77, 86]
Generated Node #0,1,2: 97:[77, 86] Operation: 14+72=86
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[72, 91], Operations: ['46+26=72', '77+14=91']
Exploring Operation: 72*91=6552, Resulting Numbers: [6552]
6552,97 unequal: No Solution
Exploring Operation: 91-72=19, Resulting Numbers: [19]
19,97 unequal: No Solution
Exploring Operation: 72+91=163, Resulting Numbers: [163]
163,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[77, 86], Operations: ['46+26=72', '14+72=86']
Exploring Operation: 77*86=6622, Resulting Numbers: [6622]
6622,97 unequal: No Solution
Exploring Operation: 86-77=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Exploring Operation: 77+86=163, Resulting Numbers: [163]
163,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[72, 63], Operations: ['46+26=72', '77-14=63']
Exploring Operation: 72-63=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Exploring Operation: 72+63=135, Resulting Numbers: [135]
135,97 unequal: No Solution
Exploring Operation: 72*63=4536, Resulting Numbers: [4536]
4536,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[26, 77, 60], Operations: ['46+14=60']
Exploring Operation: 26+60=86, Resulting Numbers: [77, 86]
Generated Node #0,2,0: 97:[77, 86] Operation: 26+60=86
Exploring Operation: 26+77=103, Resulting Numbers: [60, 103]
Generated Node #0,2,1: 97:[60, 103] Operation: 26+77=103
Exploring Operation: 77-26=51, Resulting Numbers: [60, 51]
Generated Node #0,2,2: 97:[60, 51] Operation: 77-26=51
Moving to Node #0,2,0
Current State: 97:[77, 86], Operations: ['46+14=60', '26+60=86']
Exploring Operation: 77+86=163, Resulting Numbers: [163]
163,97 unequal: No Solution
Exploring Operation: 86-77=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Exploring Operation: 77*86=6622, Resulting Numbers: [6622]
6622,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[60, 103], Operations: ['46+14=60', '26+77=103']
Exploring Operation: 60*103=6180, Resulting Numbers: [6180]
6180,97 unequal: No Solution
Exploring Operation: 60+103=163, Resulting Numbers: [163]
163,97 unequal: No Solution
Exploring Operation: 103-60=43, Resulting Numbers: [43]
43,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[60, 51], Operations: ['46+14=60', '77-26=51']
Exploring Operation: 60*51=3060, Resulting Numbers: [3060]
3060,97 unequal: No Solution
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,97 unequal: No Solution
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
64,
16,
6,
67
] | 99 | [
"67-64=3",
"16*6=96",
"3+96=99"
] | Current State: 99:[64, 16, 6, 67], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [16, 6, 3]
Generated Node #2: [16, 6, 3] from Operation: 67-64=3
Current State: 99:[16, 6, 3], Operations: ['67-64=3']
Exploring Operation: 16*6=96, Resulting Numbers: [3, 96]
Generated Node #3: [3, 96] from Operation: 16*6=96
Current State: 99:[3, 96], Operations: ['67-64=3', '16*6=96']
Exploring Operation: 3+96=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[64, 16, 6, 67], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [16, 6, 3]
Generated Node #0,0: 99:[16, 6, 3] Operation: 67-64=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[16, 6, 3], Operations: ['67-64=3']
Exploring Operation: 16-6=10, Resulting Numbers: [3, 10]
Generated Node #0,0,0: 99:[3, 10] Operation: 16-6=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[3, 10], Operations: ['67-64=3', '16-6=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,99 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 |
[
27,
67,
15,
84
] | 74 | [
"27-15=12",
"84/12=7",
"67+7=74"
] | Current State: 74:[27, 67, 15, 84], Operations: []
Exploring Operation: 27-15=12, Resulting Numbers: [67, 84, 12]
Generated Node #2: [67, 84, 12] from Operation: 27-15=12
Current State: 74:[67, 84, 12], Operations: ['27-15=12']
Exploring Operation: 84/12=7, Resulting Numbers: [67, 7]
Generated Node #3: [67, 7] from Operation: 84/12=7
Current State: 74:[67, 7], Operations: ['27-15=12', '84/12=7']
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[27, 67, 15, 84], Operations: []
Exploring Operation: 84-15=69, Resulting Numbers: [27, 67, 69]
Generated Node #0,0: 74:[27, 67, 69] Operation: 84-15=69
Exploring Operation: 67-27=40, Resulting Numbers: [15, 84, 40]
Generated Node #0,1: 74:[15, 84, 40] Operation: 67-27=40
Exploring Operation: 27+15=42, Resulting Numbers: [67, 84, 42]
Generated Node #0,2: 74:[67, 84, 42] Operation: 27+15=42
Exploring Operation: 27-15=12, Resulting Numbers: [67, 84, 12]
Generated Node #0,3: 74:[67, 84, 12] Operation: 27-15=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[27, 67, 69], Operations: ['84-15=69']
Exploring Operation: 27+67=94, Resulting Numbers: [69, 94]
Generated Node #0,0,0: 74:[69, 94] Operation: 27+67=94
Exploring Operation: 67-27=40, Resulting Numbers: [69, 40]
Generated Node #0,0,1: 74:[69, 40] Operation: 67-27=40
Exploring Operation: 69-27=42, Resulting Numbers: [67, 42]
Generated Node #0,0,2: 74:[67, 42] Operation: 69-27=42
Exploring Operation: 69-67=2, Resulting Numbers: [27, 2]
Generated Node #0,0,3: 74:[27, 2] Operation: 69-67=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[69, 40], Operations: ['84-15=69', '67-27=40']
Exploring Operation: 69+40=109, Resulting Numbers: [109]
109,74 unequal: No Solution
Exploring Operation: 69*40=2760, Resulting Numbers: [2760]
2760,74 unequal: No Solution
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 74:[27, 2], Operations: ['84-15=69', '69-67=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,74 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,74 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 74:[67, 42], Operations: ['84-15=69', '69-27=42']
Exploring Operation: 67*42=2814, Resulting Numbers: [2814]
2814,74 unequal: No Solution
Exploring Operation: 67+42=109, Resulting Numbers: [109]
109,74 unequal: No Solution
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[69, 94], Operations: ['84-15=69', '27+67=94']
Exploring Operation: 94-69=25, Resulting Numbers: [25]
25,74 unequal: No Solution
Exploring Operation: 69*94=6486, Resulting Numbers: [6486]
6486,74 unequal: No Solution
Exploring Operation: 69+94=163, Resulting Numbers: [163]
163,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[67, 84, 42], Operations: ['27+15=42']
Exploring Operation: 67-42=25, Resulting Numbers: [84, 25]
Generated Node #0,2,0: 74:[84, 25] Operation: 67-42=25
Exploring Operation: 84-67=17, Resulting Numbers: [42, 17]
Generated Node #0,2,1: 74:[42, 17] Operation: 84-67=17
Exploring Operation: 84/42=2, Resulting Numbers: [67, 2]
Generated Node #0,2,2: 74:[67, 2] Operation: 84/42=2
Exploring Operation: 84-42=42, Resulting Numbers: [67, 42]
Generated Node #0,2,3: 74:[67, 42] Operation: 84-42=42
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 74:[67, 2], Operations: ['27+15=42', '84/42=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,74 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Exploring Operation: 67*2=134, Resulting Numbers: [134]
134,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 74:[67, 42], Operations: ['27+15=42', '84-42=42']
Exploring Operation: 67+42=109, Resulting Numbers: [109]
109,74 unequal: No Solution
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,74 unequal: No Solution
Exploring Operation: 67*42=2814, Resulting Numbers: [2814]
2814,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 74:[42, 17], Operations: ['27+15=42', '84-67=17']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,74 unequal: No Solution
Exploring Operation: 42*17=714, Resulting Numbers: [714]
714,74 unequal: No Solution
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 74:[84, 25], Operations: ['27+15=42', '67-42=25']
Exploring Operation: 84+25=109, Resulting Numbers: [109]
109,74 unequal: No Solution
Exploring Operation: 84*25=2100, Resulting Numbers: [2100]
2100,74 unequal: No Solution
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[15, 84, 40], Operations: ['67-27=40']
Exploring Operation: 84-15=69, Resulting Numbers: [40, 69]
Generated Node #0,1,0: 74:[40, 69] Operation: 84-15=69
Exploring Operation: 84-40=44, Resulting Numbers: [15, 44]
Generated Node #0,1,1: 74:[15, 44] Operation: 84-40=44
Exploring Operation: 40-15=25, Resulting Numbers: [84, 25]
Generated Node #0,1,2: 74:[84, 25] Operation: 40-15=25
Exploring Operation: 15+84=99, Resulting Numbers: [40, 99]
Generated Node #0,1,3: 74:[40, 99] Operation: 15+84=99
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 74:[40, 69], Operations: ['67-27=40', '84-15=69']
Exploring Operation: 40*69=2760, Resulting Numbers: [2760]
2760,74 unequal: No Solution
Exploring Operation: 40+69=109, Resulting Numbers: [109]
109,74 unequal: No Solution
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[15, 44], Operations: ['67-27=40', '84-40=44']
Exploring Operation: 15+44=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 15*44=660, Resulting Numbers: [660]
660,74 unequal: No Solution
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 74:[84, 25], Operations: ['67-27=40', '40-15=25']
Exploring Operation: 84*25=2100, Resulting Numbers: [2100]
2100,74 unequal: No Solution
Exploring Operation: 84+25=109, Resulting Numbers: [109]
109,74 unequal: No Solution
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 74:[40, 99], Operations: ['67-27=40', '15+84=99']
Exploring Operation: 40*99=3960, Resulting Numbers: [3960]
3960,74 unequal: No Solution
Exploring Operation: 99-40=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 40+99=139, Resulting Numbers: [139]
139,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[67, 84, 12], Operations: ['27-15=12']
Exploring Operation: 84-67=17, Resulting Numbers: [12, 17]
Generated Node #0,3,0: 74:[12, 17] Operation: 84-67=17
Exploring Operation: 84-12=72, Resulting Numbers: [67, 72]
Generated Node #0,3,1: 74:[67, 72] Operation: 84-12=72
Exploring Operation: 67+12=79, Resulting Numbers: [84, 79]
Generated Node #0,3,2: 74:[84, 79] Operation: 67+12=79
Exploring Operation: 84/12=7, Resulting Numbers: [67, 7]
Generated Node #0,3,3: 74:[67, 7] Operation: 84/12=7
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 74:[67, 72], Operations: ['27-15=12', '84-12=72']
Exploring Operation: 67*72=4824, Resulting Numbers: [4824]
4824,74 unequal: No Solution
Exploring Operation: 67+72=139, Resulting Numbers: [139]
139,74 unequal: No Solution
Exploring Operation: 72-67=5, Resulting Numbers: [5]
5,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 74:[67, 7], Operations: ['27-15=12', '84/12=7']
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,74 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,74 unequal: No Solution
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[27, 67, 15, 84], Operations: []
Exploring Operation: 27-15=12, Resulting Numbers: [67, 84, 12]
Generated Node #0,3: 74:[67, 84, 12] Operation: 27-15=12
Moving to Node #0,3
Current State: 74:[67, 84, 12], Operations: ['27-15=12']
Exploring Operation: 84/12=7, Resulting Numbers: [67, 7]
Generated Node #0,3,3: 74:[67, 7] Operation: 84/12=7
Moving to Node #0,3,3
Current State: 74:[67, 7], Operations: ['27-15=12', '84/12=7']
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.942708 | hs_4 | mult_heuristic |
[
67,
23,
62,
33
] | 15 | [
"67-23=44",
"62-33=29",
"44-29=15"
] | Current State: 15:[67, 23, 62, 33], Operations: []
Exploring Operation: 67-23=44, Resulting Numbers: [62, 33, 44]
Generated Node #2: [62, 33, 44] from Operation: 67-23=44
Current State: 15:[62, 33, 44], Operations: ['67-23=44']
Exploring Operation: 62-33=29, Resulting Numbers: [44, 29]
Generated Node #3: [44, 29] from Operation: 62-33=29
Current State: 15:[44, 29], Operations: ['67-23=44', '62-33=29']
Exploring Operation: 44-29=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[67, 23, 62, 33], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [23, 33, 5]
Generated Node #0,0: 15:[23, 33, 5] Operation: 67-62=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[23, 33, 5], Operations: ['67-62=5']
Exploring Operation: 33-23=10, Resulting Numbers: [5, 10]
Generated Node #0,0,0: 15:[5, 10] Operation: 33-23=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[5, 10], Operations: ['67-62=5', '33-23=10']
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[67, 23, 62, 33], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [23, 33, 5]
Generated Node #0,0: 15:[23, 33, 5] Operation: 67-62=5
Moving to Node #0,0
Current State: 15:[23, 33, 5], Operations: ['67-62=5']
Exploring Operation: 33-23=10, Resulting Numbers: [5, 10]
Generated Node #0,0,0: 15:[5, 10] Operation: 33-23=10
Moving to Node #0,0,0
Current State: 15:[5, 10], Operations: ['67-62=5', '33-23=10']
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
84,
99,
55,
2
] | 85 | [
"99-84=15",
"2*15=30",
"55+30=85"
] | Current State: 85:[84, 99, 55, 2], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [55, 2, 15]
Generated Node #2: [55, 2, 15] from Operation: 99-84=15
Current State: 85:[55, 2, 15], Operations: ['99-84=15']
Exploring Operation: 2*15=30, Resulting Numbers: [55, 30]
Generated Node #3: [55, 30] from Operation: 2*15=30
Current State: 85:[55, 30], Operations: ['99-84=15', '2*15=30']
Exploring Operation: 55+30=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[84, 99, 55, 2], Operations: []
Exploring Operation: 84-55=29, Resulting Numbers: [99, 2, 29]
Generated Node #0,0: 85:[99, 2, 29] Operation: 84-55=29
Exploring Operation: 99-2=97, Resulting Numbers: [84, 55, 97]
Generated Node #0,1: 85:[84, 55, 97] Operation: 99-2=97
Exploring Operation: 99-55=44, Resulting Numbers: [84, 2, 44]
Generated Node #0,2: 85:[84, 2, 44] Operation: 99-55=44
Exploring Operation: 55*2=110, Resulting Numbers: [84, 99, 110]
Generated Node #0,3: 85:[84, 99, 110] Operation: 55*2=110
Exploring Operation: 99-84=15, Resulting Numbers: [55, 2, 15]
Generated Node #0,4: 85:[55, 2, 15] Operation: 99-84=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[99, 2, 29], Operations: ['84-55=29']
Exploring Operation: 99-29=70, Resulting Numbers: [2, 70]
Generated Node #0,0,0: 85:[2, 70] Operation: 99-29=70
Exploring Operation: 29-2=27, Resulting Numbers: [99, 27]
Generated Node #0,0,1: 85:[99, 27] Operation: 29-2=27
Exploring Operation: 2+29=31, Resulting Numbers: [99, 31]
Generated Node #0,0,2: 85:[99, 31] Operation: 2+29=31
Exploring Operation: 99+2=101, Resulting Numbers: [29, 101]
Generated Node #0,0,3: 85:[29, 101] Operation: 99+2=101
Exploring Operation: 99-2=97, Resulting Numbers: [29, 97]
Generated Node #0,0,4: 85:[29, 97] Operation: 99-2=97
Moving to Node #0,0,0
Current State: 85:[2, 70], Operations: ['84-55=29', '99-29=70']
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,85 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,85 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 2*70=140, Resulting Numbers: [140]
140,85 unequal: No Solution
Moving to Node #0,0,4
Current State: 85:[29, 97], Operations: ['84-55=29', '99-2=97']
Exploring Operation: 29+97=126, Resulting Numbers: [126]
126,85 unequal: No Solution
Exploring Operation: 29*97=2813, Resulting Numbers: [2813]
2813,85 unequal: No Solution
Exploring Operation: 97-29=68, Resulting Numbers: [68]
68,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[99, 27], Operations: ['84-55=29', '29-2=27']
Exploring Operation: 99-27=72, Resulting Numbers: [72]
72,85 unequal: No Solution
Exploring Operation: 99*27=2673, Resulting Numbers: [2673]
2673,85 unequal: No Solution
Exploring Operation: 99+27=126, Resulting Numbers: [126]
126,85 unequal: No Solution
Moving to Node #0,0,2
Current State: 85:[99, 31], Operations: ['84-55=29', '2+29=31']
Exploring Operation: 99-31=68, Resulting Numbers: [68]
68,85 unequal: No Solution
Exploring Operation: 99+31=130, Resulting Numbers: [130]
130,85 unequal: No Solution
Exploring Operation: 99*31=3069, Resulting Numbers: [3069]
3069,85 unequal: No Solution
Moving to Node #0,0,3
Current State: 85:[29, 101], Operations: ['84-55=29', '99+2=101']
Exploring Operation: 29*101=2929, Resulting Numbers: [2929]
2929,85 unequal: No Solution
Exploring Operation: 29+101=130, Resulting Numbers: [130]
130,85 unequal: No Solution
Exploring Operation: 101-29=72, Resulting Numbers: [72]
72,85 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 #0,2
Current State: 85:[84, 2, 44], Operations: ['99-55=44']
Exploring Operation: 84-44=40, Resulting Numbers: [2, 40]
Generated Node #0,2,0: 85:[2, 40] Operation: 84-44=40
Exploring Operation: 44-2=42, Resulting Numbers: [84, 42]
Generated Node #0,2,1: 85:[84, 42] Operation: 44-2=42
Exploring Operation: 84+2=86, Resulting Numbers: [44, 86]
Generated Node #0,2,2: 85:[44, 86] Operation: 84+2=86
Exploring Operation: 44/2=22, Resulting Numbers: [84, 22]
Generated Node #0,2,3: 85:[84, 22] Operation: 44/2=22
Exploring Operation: 2*44=88, Resulting Numbers: [84, 88]
Generated Node #0,2,4: 85:[84, 88] Operation: 2*44=88
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 85:[84, 88], Operations: ['99-55=44', '2*44=88']
Exploring Operation: 84+88=172, Resulting Numbers: [172]
172,85 unequal: No Solution
Exploring Operation: 84*88=7392, Resulting Numbers: [7392]
7392,85 unequal: No Solution
Exploring Operation: 88-84=4, Resulting Numbers: [4]
4,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 85:[84, 22], Operations: ['99-55=44', '44/2=22']
Exploring Operation: 84*22=1848, Resulting Numbers: [1848]
1848,85 unequal: No Solution
Exploring Operation: 84+22=106, Resulting Numbers: [106]
106,85 unequal: No Solution
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 85:[2, 40], Operations: ['99-55=44', '84-44=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,85 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,85 unequal: No Solution
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 85:[84, 42], Operations: ['99-55=44', '44-2=42']
Exploring Operation: 84*42=3528, Resulting Numbers: [3528]
3528,85 unequal: No Solution
Exploring Operation: 84+42=126, Resulting Numbers: [126]
126,85 unequal: No Solution
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 84/42=2, Resulting Numbers: [2]
2,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 85:[44, 86], Operations: ['99-55=44', '84+2=86']
Exploring Operation: 44*86=3784, Resulting Numbers: [3784]
3784,85 unequal: No Solution
Exploring Operation: 44+86=130, Resulting Numbers: [130]
130,85 unequal: No Solution
Exploring Operation: 86-44=42, Resulting Numbers: [42]
42,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 85:[55, 2, 15], Operations: ['99-84=15']
Exploring Operation: 55*2=110, Resulting Numbers: [15, 110]
Generated Node #0,4,0: 85:[15, 110] Operation: 55*2=110
Exploring Operation: 55+2=57, Resulting Numbers: [15, 57]
Generated Node #0,4,1: 85:[15, 57] Operation: 55+2=57
Exploring Operation: 2+15=17, Resulting Numbers: [55, 17]
Generated Node #0,4,2: 85:[55, 17] Operation: 2+15=17
Exploring Operation: 55+15=70, Resulting Numbers: [2, 70]
Generated Node #0,4,3: 85:[2, 70] Operation: 55+15=70
Exploring Operation: 55-15=40, Resulting Numbers: [2, 40]
Generated Node #0,4,4: 85:[2, 40] Operation: 55-15=40
Moving to Node #0,4,3
Current State: 85:[2, 70], Operations: ['99-84=15', '55+15=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,85 unequal: No Solution
Exploring Operation: 2*70=140, Resulting Numbers: [140]
140,85 unequal: No Solution
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,85 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Moving to Node #0,4,4
Current State: 85:[2, 40], Operations: ['99-84=15', '55-15=40']
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,85 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,85 unequal: No Solution
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,85 unequal: No Solution
Moving to Node #0,4,0
Current State: 85:[15, 110], Operations: ['99-84=15', '55*2=110']
Exploring Operation: 15*110=1650, Resulting Numbers: [1650]
1650,85 unequal: No Solution
Exploring Operation: 110-15=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Exploring Operation: 15+110=125, Resulting Numbers: [125]
125,85 unequal: No Solution
Moving to Node #0,4,1
Current State: 85:[15, 57], Operations: ['99-84=15', '55+2=57']
Exploring Operation: 15+57=72, Resulting Numbers: [72]
72,85 unequal: No Solution
Exploring Operation: 15*57=855, Resulting Numbers: [855]
855,85 unequal: No Solution
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Moving to Node #0,4,2
Current State: 85:[55, 17], Operations: ['99-84=15', '2+15=17']
Exploring Operation: 55*17=935, Resulting Numbers: [935]
935,85 unequal: No Solution
Exploring Operation: 55-17=38, Resulting Numbers: [38]
38,85 unequal: No Solution
Exploring Operation: 55+17=72, Resulting Numbers: [72]
72,85 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 #0,3
Current State: 85:[84, 99, 110], Operations: ['55*2=110']
Exploring Operation: 110-99=11, Resulting Numbers: [84, 11]
Generated Node #0,3,0: 85:[84, 11] Operation: 110-99=11
Exploring Operation: 110-84=26, Resulting Numbers: [99, 26]
Generated Node #0,3,1: 85:[99, 26] Operation: 110-84=26
Exploring Operation: 84+110=194, Resulting Numbers: [99, 194]
Generated Node #0,3,2: 85:[99, 194] Operation: 84+110=194
Exploring Operation: 99-84=15, Resulting Numbers: [110, 15]
Generated Node #0,3,3: 85:[110, 15] Operation: 99-84=15
Exploring Operation: 84+99=183, Resulting Numbers: [110, 183]
Generated Node #0,3,4: 85:[110, 183] Operation: 84+99=183
Moving to Node #0,3,0
Current State: 85:[84, 11], Operations: ['55*2=110', '110-99=11']
Exploring Operation: 84-11=73, Resulting Numbers: [73]
73,85 unequal: No Solution
Exploring Operation: 84+11=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Exploring Operation: 84*11=924, Resulting Numbers: [924]
924,85 unequal: No Solution
Moving to Node #0,3,1
Current State: 85:[99, 26], Operations: ['55*2=110', '110-84=26']
Exploring Operation: 99-26=73, Resulting Numbers: [73]
73,85 unequal: No Solution
Exploring Operation: 99*26=2574, Resulting Numbers: [2574]
2574,85 unequal: No Solution
Exploring Operation: 99+26=125, Resulting Numbers: [125]
125,85 unequal: No Solution
Moving to Node #0,3,3
Current State: 85:[110, 15], Operations: ['55*2=110', '99-84=15']
Exploring Operation: 110*15=1650, Resulting Numbers: [1650]
1650,85 unequal: No Solution
Exploring Operation: 110-15=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Exploring Operation: 110+15=125, Resulting Numbers: [125]
125,85 unequal: No Solution
Moving to Node #0,3,2
Current State: 85:[99, 194], Operations: ['55*2=110', '84+110=194']
Exploring Operation: 194-99=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Exploring Operation: 99*194=19206, Resulting Numbers: [19206]
19206,85 unequal: No Solution
Exploring Operation: 99+194=293, Resulting Numbers: [293]
293,85 unequal: No Solution
Moving to Node #0,3,4
Current State: 85:[110, 183], Operations: ['55*2=110', '84+99=183']
Exploring Operation: 110*183=20130, Resulting Numbers: [20130]
20130,85 unequal: No Solution
Exploring Operation: 110+183=293, Resulting Numbers: [293]
293,85 unequal: No Solution
Exploring Operation: 183-110=73, Resulting Numbers: [73]
73,85 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
Current State: 85:[84, 55, 97], Operations: ['99-2=97']
Exploring Operation: 84-55=29, Resulting Numbers: [97, 29]
Generated Node #0,1,0: 85:[97, 29] Operation: 84-55=29
Exploring Operation: 55+97=152, Resulting Numbers: [84, 152]
Generated Node #0,1,1: 85:[84, 152] Operation: 55+97=152
Exploring Operation: 84+55=139, Resulting Numbers: [97, 139]
Generated Node #0,1,2: 85:[97, 139] Operation: 84+55=139
Exploring Operation: 97-84=13, Resulting Numbers: [55, 13]
Generated Node #0,1,3: 85:[55, 13] Operation: 97-84=13
Exploring Operation: 97-55=42, Resulting Numbers: [84, 42]
Generated Node #0,1,4: 85:[84, 42] Operation: 97-55=42
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[97, 29], Operations: ['99-2=97', '84-55=29']
Exploring Operation: 97*29=2813, Resulting Numbers: [2813]
2813,85 unequal: No Solution
Exploring Operation: 97+29=126, Resulting Numbers: [126]
126,85 unequal: No Solution
Exploring Operation: 97-29=68, Resulting Numbers: [68]
68,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 85:[84, 42], Operations: ['99-2=97', '97-55=42']
Exploring Operation: 84/42=2, Resulting Numbers: [2]
2,85 unequal: No Solution
Exploring Operation: 84*42=3528, Resulting Numbers: [3528]
3528,85 unequal: No Solution
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 84+42=126, Resulting Numbers: [126]
126,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 85:[55, 13], Operations: ['99-2=97', '97-84=13']
Exploring Operation: 55*13=715, Resulting Numbers: [715]
715,85 unequal: No Solution
Exploring Operation: 55+13=68, Resulting Numbers: [68]
68,85 unequal: No Solution
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 85:[97, 139], Operations: ['99-2=97', '84+55=139']
Exploring Operation: 139-97=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 97+139=236, Resulting Numbers: [236]
236,85 unequal: No Solution
Exploring Operation: 97*139=13483, Resulting Numbers: [13483]
13483,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 85:[84, 152], Operations: ['99-2=97', '55+97=152']
Exploring Operation: 152-84=68, Resulting Numbers: [68]
68,85 unequal: No Solution
Exploring Operation: 84+152=236, Resulting Numbers: [236]
236,85 unequal: No Solution
Exploring Operation: 84*152=12768, Resulting Numbers: [12768]
12768,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
71,
2,
16,
63
] | 75 | [
"71+16=87",
"63+87=150",
"150/2=75"
] | Current State: 75:[71, 2, 16, 63], Operations: []
Exploring Operation: 71+16=87, Resulting Numbers: [2, 63, 87]
Generated Node #2: [2, 63, 87] from Operation: 71+16=87
Current State: 75:[2, 63, 87], Operations: ['71+16=87']
Exploring Operation: 63+87=150, Resulting Numbers: [2, 150]
Generated Node #3: [2, 150] from Operation: 63+87=150
Current State: 75:[2, 150], Operations: ['71+16=87', '63+87=150']
Exploring Operation: 150/2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[71, 2, 16, 63], Operations: []
Exploring Operation: 71-63=8, Resulting Numbers: [2, 16, 8]
Generated Node #0,0: 75:[2, 16, 8] Operation: 71-63=8
Exploring Operation: 71+2=73, Resulting Numbers: [16, 63, 73]
Generated Node #0,1: 75:[16, 63, 73] Operation: 71+2=73
Exploring Operation: 16+63=79, Resulting Numbers: [71, 2, 79]
Generated Node #0,2: 75:[71, 2, 79] Operation: 16+63=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[2, 16, 8], Operations: ['71-63=8']
Exploring Operation: 8/2=4, Resulting Numbers: [16, 4]
Generated Node #0,0,0: 75:[16, 4] Operation: 8/2=4
Exploring Operation: 2*8=16, Resulting Numbers: [16, 16]
Generated Node #0,0,1: 75:[16, 16] Operation: 2*8=16
Exploring Operation: 8-2=6, Resulting Numbers: [16, 6]
Generated Node #0,0,2: 75:[16, 6] Operation: 8-2=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[16, 4], Operations: ['71-63=8', '8/2=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[16, 16], Operations: ['71-63=8', '2*8=16']
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,75 unequal: No Solution
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,75 unequal: No Solution
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 75:[16, 6], Operations: ['71-63=8', '8-2=6']
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[71, 2, 79], Operations: ['16+63=79']
Exploring Operation: 79-71=8, Resulting Numbers: [2, 8]
Generated Node #0,2,0: 75:[2, 8] Operation: 79-71=8
Exploring Operation: 71+2=73, Resulting Numbers: [79, 73]
Generated Node #0,2,1: 75:[79, 73] Operation: 71+2=73
Exploring Operation: 79-2=77, Resulting Numbers: [71, 77]
Generated Node #0,2,2: 75:[71, 77] Operation: 79-2=77
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 75:[2, 8], Operations: ['16+63=79', '79-71=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 75:[79, 73], Operations: ['16+63=79', '71+2=73']
Exploring Operation: 79*73=5767, Resulting Numbers: [5767]
5767,75 unequal: No Solution
Exploring Operation: 79+73=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Exploring Operation: 79-73=6, Resulting Numbers: [6]
6,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 75:[71, 77], Operations: ['16+63=79', '79-2=77']
Exploring Operation: 71*77=5467, Resulting Numbers: [5467]
5467,75 unequal: No Solution
Exploring Operation: 71+77=148, Resulting Numbers: [148]
148,75 unequal: No Solution
Exploring Operation: 77-71=6, Resulting Numbers: [6]
6,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[16, 63, 73], Operations: ['71+2=73']
Exploring Operation: 16+63=79, Resulting Numbers: [73, 79]
Generated Node #0,1,0: 75:[73, 79] Operation: 16+63=79
Exploring Operation: 73-63=10, Resulting Numbers: [16, 10]
Generated Node #0,1,1: 75:[16, 10] Operation: 73-63=10
Exploring Operation: 63-16=47, Resulting Numbers: [73, 47]
Generated Node #0,1,2: 75:[73, 47] Operation: 63-16=47
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[73, 79], Operations: ['71+2=73', '16+63=79']
Exploring Operation: 79-73=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 73+79=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Exploring Operation: 73*79=5767, Resulting Numbers: [5767]
5767,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[16, 10], Operations: ['71+2=73', '73-63=10']
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[73, 47], Operations: ['71+2=73', '63-16=47']
Exploring Operation: 73*47=3431, Resulting Numbers: [3431]
3431,75 unequal: No Solution
Exploring Operation: 73+47=120, Resulting Numbers: [120]
120,75 unequal: No Solution
Exploring Operation: 73-47=26, Resulting Numbers: [26]
26,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
69,
51,
97,
62
] | 85 | [
"69+51=120",
"97-62=35",
"120-35=85"
] | Current State: 85:[69, 51, 97, 62], Operations: []
Exploring Operation: 69+51=120, Resulting Numbers: [97, 62, 120]
Generated Node #2: [97, 62, 120] from Operation: 69+51=120
Current State: 85:[97, 62, 120], Operations: ['69+51=120']
Exploring Operation: 97-62=35, Resulting Numbers: [120, 35]
Generated Node #3: [120, 35] from Operation: 97-62=35
Current State: 85:[120, 35], Operations: ['69+51=120', '97-62=35']
Exploring Operation: 120-35=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[69, 51, 97, 62], Operations: []
Exploring Operation: 62-51=11, Resulting Numbers: [69, 97, 11]
Generated Node #0,0: 85:[69, 97, 11] Operation: 62-51=11
Exploring Operation: 51+62=113, Resulting Numbers: [69, 97, 113]
Generated Node #0,1: 85:[69, 97, 113] Operation: 51+62=113
Exploring Operation: 69-51=18, Resulting Numbers: [97, 62, 18]
Generated Node #0,2: 85:[97, 62, 18] Operation: 69-51=18
Exploring Operation: 69-62=7, Resulting Numbers: [51, 97, 7]
Generated Node #0,3: 85:[51, 97, 7] Operation: 69-62=7
Moving to Node #0,0
Current State: 85:[69, 97, 11], Operations: ['62-51=11']
Exploring Operation: 69+11=80, Resulting Numbers: [97, 80]
Generated Node #0,0,0: 85:[97, 80] Operation: 69+11=80
Exploring Operation: 97-69=28, Resulting Numbers: [11, 28]
Generated Node #0,0,1: 85:[11, 28] Operation: 97-69=28
Exploring Operation: 69-11=58, Resulting Numbers: [97, 58]
Generated Node #0,0,2: 85:[97, 58] Operation: 69-11=58
Exploring Operation: 97-11=86, Resulting Numbers: [69, 86]
Generated Node #0,0,3: 85:[69, 86] Operation: 97-11=86
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[97, 80], Operations: ['62-51=11', '69+11=80']
Exploring Operation: 97*80=7760, Resulting Numbers: [7760]
7760,85 unequal: No Solution
Exploring Operation: 97+80=177, Resulting Numbers: [177]
177,85 unequal: No Solution
Exploring Operation: 97-80=17, Resulting Numbers: [17]
17,85 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 #0,0,1
Current State: 85:[11, 28], Operations: ['62-51=11', '97-69=28']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,85 unequal: No Solution
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,85 unequal: No Solution
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,85 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 #0,0,3
Current State: 85:[69, 86], Operations: ['62-51=11', '97-11=86']
Exploring Operation: 69+86=155, Resulting Numbers: [155]
155,85 unequal: No Solution
Exploring Operation: 86-69=17, Resulting Numbers: [17]
17,85 unequal: No Solution
Exploring Operation: 69*86=5934, Resulting Numbers: [5934]
5934,85 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 #0,0,2
Current State: 85:[97, 58], Operations: ['62-51=11', '69-11=58']
Exploring Operation: 97-58=39, Resulting Numbers: [39]
39,85 unequal: No Solution
Exploring Operation: 97+58=155, Resulting Numbers: [155]
155,85 unequal: No Solution
Exploring Operation: 97*58=5626, Resulting Numbers: [5626]
5626,85 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:[97, 62, 18], Operations: ['69-51=18']
Exploring Operation: 62-18=44, Resulting Numbers: [97, 44]
Generated Node #0,2,0: 85:[97, 44] Operation: 62-18=44
Exploring Operation: 97-18=79, Resulting Numbers: [62, 79]
Generated Node #0,2,1: 85:[62, 79] Operation: 97-18=79
Exploring Operation: 62+18=80, Resulting Numbers: [97, 80]
Generated Node #0,2,2: 85:[97, 80] Operation: 62+18=80
Exploring Operation: 97-62=35, Resulting Numbers: [18, 35]
Generated Node #0,2,3: 85:[18, 35] Operation: 97-62=35
Moving to Node #0,3
Current State: 85:[51, 97, 7], Operations: ['69-62=7']
Exploring Operation: 97-7=90, Resulting Numbers: [51, 90]
Generated Node #0,3,0: 85:[51, 90] Operation: 97-7=90
Exploring Operation: 51+7=58, Resulting Numbers: [97, 58]
Generated Node #0,3,1: 85:[97, 58] Operation: 51+7=58
Exploring Operation: 97-51=46, Resulting Numbers: [7, 46]
Generated Node #0,3,2: 85:[7, 46] Operation: 97-51=46
Exploring Operation: 51-7=44, Resulting Numbers: [97, 44]
Generated Node #0,3,3: 85:[97, 44] Operation: 51-7=44
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 85:[7, 46], Operations: ['69-62=7', '97-51=46']
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,85 unequal: No Solution
Exploring Operation: 7+46=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 7*46=322, Resulting Numbers: [322]
322,85 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 #0,3,0
Current State: 85:[51, 90], Operations: ['69-62=7', '97-7=90']
Exploring Operation: 51*90=4590, Resulting Numbers: [4590]
4590,85 unequal: No Solution
Exploring Operation: 51+90=141, Resulting Numbers: [141]
141,85 unequal: No Solution
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,85 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 #0,3,1
Current State: 85:[97, 58], Operations: ['69-62=7', '51+7=58']
Exploring Operation: 97+58=155, Resulting Numbers: [155]
155,85 unequal: No Solution
Exploring Operation: 97-58=39, Resulting Numbers: [39]
39,85 unequal: No Solution
Exploring Operation: 97*58=5626, Resulting Numbers: [5626]
5626,85 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 #0,3,3
Current State: 85:[97, 44], Operations: ['69-62=7', '51-7=44']
Exploring Operation: 97*44=4268, Resulting Numbers: [4268]
4268,85 unequal: No Solution
Exploring Operation: 97+44=141, Resulting Numbers: [141]
141,85 unequal: No Solution
Exploring Operation: 97-44=53, Resulting Numbers: [53]
53,85 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: 85:[69, 97, 113], Operations: ['51+62=113']
Exploring Operation: 69+97=166, Resulting Numbers: [113, 166]
Generated Node #0,1,0: 85:[113, 166] Operation: 69+97=166
Exploring Operation: 113-69=44, Resulting Numbers: [97, 44]
Generated Node #0,1,1: 85:[97, 44] Operation: 113-69=44
Exploring Operation: 113-97=16, Resulting Numbers: [69, 16]
Generated Node #0,1,2: 85:[69, 16] Operation: 113-97=16
Exploring Operation: 97-69=28, Resulting Numbers: [113, 28]
Generated Node #0,1,3: 85:[113, 28] Operation: 97-69=28
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 85:[69, 16], Operations: ['51+62=113', '113-97=16']
Exploring Operation: 69*16=1104, Resulting Numbers: [1104]
1104,85 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[69, 51, 97, 62], Operations: []
Exploring Operation: 51+62=113, Resulting Numbers: [69, 97, 113]
Generated Node #0,1: 85:[69, 97, 113] Operation: 51+62=113
Moving to Node #0,1
Current State: 85:[69, 97, 113], Operations: ['51+62=113']
Exploring Operation: 113-97=16, Resulting Numbers: [69, 16]
Generated Node #0,1,2: 85:[69, 16] Operation: 113-97=16
Moving to Node #0,1,2
Current State: 85:[69, 16], Operations: ['51+62=113', '113-97=16']
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729 | hs_4 | sum_heuristic |
[
92,
57,
13,
6
] | 11 | [
"92+57=149",
"149-6=143",
"143/13=11"
] | Current State: 11:[92, 57, 13, 6], Operations: []
Exploring Operation: 92+57=149, Resulting Numbers: [13, 6, 149]
Generated Node #2: [13, 6, 149] from Operation: 92+57=149
Current State: 11:[13, 6, 149], Operations: ['92+57=149']
Exploring Operation: 149-6=143, Resulting Numbers: [13, 143]
Generated Node #3: [13, 143] from Operation: 149-6=143
Current State: 11:[13, 143], Operations: ['92+57=149', '149-6=143']
Exploring Operation: 143/13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[92, 57, 13, 6], Operations: []
Exploring Operation: 92-57=35, Resulting Numbers: [13, 6, 35]
Generated Node #0,0: 11:[13, 6, 35] Operation: 92-57=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[13, 6, 35], Operations: ['92-57=35']
Exploring Operation: 35-13=22, Resulting Numbers: [6, 22]
Generated Node #0,0,0: 11:[6, 22] Operation: 35-13=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[6, 22], Operations: ['92-57=35', '35-13=22']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,11 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 |
[
59,
46,
83,
4
] | 74 | [
"59-46=13",
"83+4=87",
"87-13=74"
] | Current State: 74:[59, 46, 83, 4], Operations: []
Exploring Operation: 59-46=13, Resulting Numbers: [83, 4, 13]
Generated Node #2: [83, 4, 13] from Operation: 59-46=13
Current State: 74:[83, 4, 13], Operations: ['59-46=13']
Exploring Operation: 83+4=87, Resulting Numbers: [13, 87]
Generated Node #3: [13, 87] from Operation: 83+4=87
Current State: 74:[13, 87], Operations: ['59-46=13', '83+4=87']
Exploring Operation: 87-13=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[59, 46, 83, 4], Operations: []
Exploring Operation: 46-4=42, Resulting Numbers: [59, 83, 42]
Generated Node #0,0: 74:[59, 83, 42] Operation: 46-4=42
Exploring Operation: 59+4=63, Resulting Numbers: [46, 83, 63]
Generated Node #0,1: 74:[46, 83, 63] Operation: 59+4=63
Exploring Operation: 59-46=13, Resulting Numbers: [83, 4, 13]
Generated Node #0,2: 74:[83, 4, 13] Operation: 59-46=13
Exploring Operation: 83-46=37, Resulting Numbers: [59, 4, 37]
Generated Node #0,3: 74:[59, 4, 37] Operation: 83-46=37
Exploring Operation: 83-59=24, Resulting Numbers: [46, 4, 24]
Generated Node #0,4: 74:[46, 4, 24] Operation: 83-59=24
Moving to Node #0,3
Current State: 74:[59, 4, 37], Operations: ['83-46=37']
Exploring Operation: 59-37=22, Resulting Numbers: [4, 22]
Generated Node #0,3,0: 74:[4, 22] Operation: 59-37=22
Exploring Operation: 59-4=55, Resulting Numbers: [37, 55]
Generated Node #0,3,1: 74:[37, 55] Operation: 59-4=55
Exploring Operation: 59+4=63, Resulting Numbers: [37, 63]
Generated Node #0,3,2: 74:[37, 63] Operation: 59+4=63
Exploring Operation: 37-4=33, Resulting Numbers: [59, 33]
Generated Node #0,3,3: 74:[59, 33] Operation: 37-4=33
Exploring Operation: 4+37=41, Resulting Numbers: [59, 41]
Generated Node #0,3,4: 74:[59, 41] Operation: 4+37=41
Moving to Node #0,2
Current State: 74:[83, 4, 13], Operations: ['59-46=13']
Exploring Operation: 83-4=79, Resulting Numbers: [13, 79]
Generated Node #0,2,0: 74:[13, 79] Operation: 83-4=79
Exploring Operation: 83+13=96, Resulting Numbers: [4, 96]
Generated Node #0,2,1: 74:[4, 96] Operation: 83+13=96
Exploring Operation: 83+4=87, Resulting Numbers: [13, 87]
Generated Node #0,2,2: 74:[13, 87] Operation: 83+4=87
Exploring Operation: 83-13=70, Resulting Numbers: [4, 70]
Generated Node #0,2,3: 74:[4, 70] Operation: 83-13=70
Exploring Operation: 13-4=9, Resulting Numbers: [83, 9]
Generated Node #0,2,4: 74:[83, 9] Operation: 13-4=9
Moving to Node #0,4
Current State: 74:[46, 4, 24], Operations: ['83-59=24']
Exploring Operation: 46-4=42, Resulting Numbers: [24, 42]
Generated Node #0,4,0: 74:[24, 42] Operation: 46-4=42
Exploring Operation: 46+24=70, Resulting Numbers: [4, 70]
Generated Node #0,4,1: 74:[4, 70] Operation: 46+24=70
Exploring Operation: 4+24=28, Resulting Numbers: [46, 28]
Generated Node #0,4,2: 74:[46, 28] Operation: 4+24=28
Exploring Operation: 46-24=22, Resulting Numbers: [4, 22]
Generated Node #0,4,3: 74:[4, 22] Operation: 46-24=22
Exploring Operation: 24/4=6, Resulting Numbers: [46, 6]
Generated Node #0,4,4: 74:[46, 6] Operation: 24/4=6
Moving to Node #0,0
Current State: 74:[59, 83, 42], Operations: ['46-4=42']
Exploring Operation: 83+42=125, Resulting Numbers: [59, 125]
Generated Node #0,0,0: 74:[59, 125] Operation: 83+42=125
Exploring Operation: 59-42=17, Resulting Numbers: [83, 17]
Generated Node #0,0,1: 74:[83, 17] Operation: 59-42=17
Exploring Operation: 83-42=41, Resulting Numbers: [59, 41]
Generated Node #0,0,2: 74:[59, 41] Operation: 83-42=41
Exploring Operation: 83-59=24, Resulting Numbers: [42, 24]
Generated Node #0,0,3: 74:[42, 24] Operation: 83-59=24
Exploring Operation: 59+42=101, Resulting Numbers: [83, 101]
Generated Node #0,0,4: 74:[83, 101] Operation: 59+42=101
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 74:[42, 24], Operations: ['46-4=42', '83-59=24']
Exploring Operation: 42+24=66, Resulting Numbers: [66]
66,74 unequal: No Solution
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,74 unequal: No Solution
Exploring Operation: 42*24=1008, Resulting Numbers: [1008]
1008,74 unequal: No Solution
No 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: 74:[59, 41], Operations: ['46-4=42', '83-42=41']
Exploring Operation: 59*41=2419, Resulting Numbers: [2419]
2419,74 unequal: No Solution
Exploring Operation: 59+41=100, Resulting Numbers: [100]
100,74 unequal: No Solution
Exploring Operation: 59-41=18, Resulting Numbers: [18]
18,74 unequal: No Solution
No 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: 74:[83, 17], Operations: ['46-4=42', '59-42=17']
Exploring Operation: 83*17=1411, Resulting Numbers: [1411]
1411,74 unequal: No Solution
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,74 unequal: No Solution
Exploring Operation: 83+17=100, Resulting Numbers: [100]
100,74 unequal: No Solution
No 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: 74:[83, 101], Operations: ['46-4=42', '59+42=101']
Exploring Operation: 101-83=18, Resulting Numbers: [18]
18,74 unequal: No Solution
Exploring Operation: 83+101=184, Resulting Numbers: [184]
184,74 unequal: No Solution
Exploring Operation: 83*101=8383, Resulting Numbers: [8383]
8383,74 unequal: No Solution
No 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: 74:[59, 125], Operations: ['46-4=42', '83+42=125']
Exploring Operation: 59*125=7375, Resulting Numbers: [7375]
7375,74 unequal: No Solution
Exploring Operation: 59+125=184, Resulting Numbers: [184]
184,74 unequal: No Solution
Exploring Operation: 125-59=66, Resulting Numbers: [66]
66,74 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: 74:[46, 83, 63], Operations: ['59+4=63']
Exploring Operation: 46+83=129, Resulting Numbers: [63, 129]
Generated Node #0,1,0: 74:[63, 129] Operation: 46+83=129
Exploring Operation: 46+63=109, Resulting Numbers: [83, 109]
Generated Node #0,1,1: 74:[83, 109] Operation: 46+63=109
Exploring Operation: 83-46=37, Resulting Numbers: [63, 37]
Generated Node #0,1,2: 74:[63, 37] Operation: 83-46=37
Exploring Operation: 63-46=17, Resulting Numbers: [83, 17]
Generated Node #0,1,3: 74:[83, 17] Operation: 63-46=17
Exploring Operation: 83-63=20, Resulting Numbers: [46, 20]
Generated Node #0,1,4: 74:[46, 20] Operation: 83-63=20
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 74:[63, 37], Operations: ['59+4=63', '83-46=37']
Exploring Operation: 63+37=100, Resulting Numbers: [100]
100,74 unequal: No Solution
Exploring Operation: 63-37=26, Resulting Numbers: [26]
26,74 unequal: No Solution
Exploring Operation: 63*37=2331, Resulting Numbers: [2331]
2331,74 unequal: No Solution
No 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: 74:[83, 17], Operations: ['59+4=63', '63-46=17']
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,74 unequal: No Solution
Exploring Operation: 83+17=100, Resulting Numbers: [100]
100,74 unequal: No Solution
Exploring Operation: 83*17=1411, Resulting Numbers: [1411]
1411,74 unequal: No Solution
No 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: 74:[46, 20], Operations: ['59+4=63', '83-63=20']
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,74 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,74 unequal: No Solution
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,74 unequal: No Solution
No 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: 74:[83, 109], Operations: ['59+4=63', '46+63=109']
Exploring Operation: 109-83=26, Resulting Numbers: [26]
26,74 unequal: No Solution
Exploring Operation: 83*109=9047, Resulting Numbers: [9047]
9047,74 unequal: No Solution
Exploring Operation: 83+109=192, Resulting Numbers: [192]
192,74 unequal: No Solution
No 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: 74:[63, 129], Operations: ['59+4=63', '46+83=129']
Exploring Operation: 129-63=66, Resulting Numbers: [66]
66,74 unequal: No Solution
Exploring Operation: 63*129=8127, Resulting Numbers: [8127]
8127,74 unequal: No Solution
Exploring Operation: 63+129=192, Resulting Numbers: [192]
192,74 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: 74:[4, 70], Operations: ['59-46=13', '83-13=70']
Exploring Operation: 4+70=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[59, 46, 83, 4], Operations: []
Exploring Operation: 59-46=13, Resulting Numbers: [83, 4, 13]
Generated Node #0,2: 74:[83, 4, 13] Operation: 59-46=13
Moving to Node #0,2
Current State: 74:[83, 4, 13], Operations: ['59-46=13']
Exploring Operation: 83-13=70, Resulting Numbers: [4, 70]
Generated Node #0,2,3: 74:[4, 70] Operation: 83-13=70
Moving to Node #0,2,3
Current State: 74:[4, 70], Operations: ['59-46=13', '83-13=70']
Exploring Operation: 4+70=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.943576 | hs_5 | mult_heuristic |
[
72,
14,
94,
6
] | 90 | [
"14+94=108",
"108/6=18",
"72+18=90"
] | Current State: 90:[72, 14, 94, 6], Operations: []
Exploring Operation: 14+94=108, Resulting Numbers: [72, 6, 108]
Generated Node #2: [72, 6, 108] from Operation: 14+94=108
Current State: 90:[72, 6, 108], Operations: ['14+94=108']
Exploring Operation: 108/6=18, Resulting Numbers: [72, 18]
Generated Node #3: [72, 18] from Operation: 108/6=18
Current State: 90:[72, 18], Operations: ['14+94=108', '108/6=18']
Exploring Operation: 72+18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[72, 14, 94, 6], Operations: []
Exploring Operation: 94-72=22, Resulting Numbers: [14, 6, 22]
Generated Node #0,0: 90:[14, 6, 22] Operation: 94-72=22
Exploring Operation: 72/6=12, Resulting Numbers: [14, 94, 12]
Generated Node #0,1: 90:[14, 94, 12] Operation: 72/6=12
Exploring Operation: 72-14=58, Resulting Numbers: [94, 6, 58]
Generated Node #0,2: 90:[94, 6, 58] Operation: 72-14=58
Exploring Operation: 72+14=86, Resulting Numbers: [94, 6, 86]
Generated Node #0,3: 90:[94, 6, 86] Operation: 72+14=86
Exploring Operation: 72+6=78, Resulting Numbers: [14, 94, 78]
Generated Node #0,4: 90:[14, 94, 78] Operation: 72+6=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[14, 6, 22], Operations: ['94-72=22']
Exploring Operation: 14-6=8, Resulting Numbers: [22, 8]
Generated Node #0,0,0: 90:[22, 8] Operation: 14-6=8
Exploring Operation: 22-6=16, Resulting Numbers: [14, 16]
Generated Node #0,0,1: 90:[14, 16] Operation: 22-6=16
Exploring Operation: 14+6=20, Resulting Numbers: [22, 20]
Generated Node #0,0,2: 90:[22, 20] Operation: 14+6=20
Exploring Operation: 6+22=28, Resulting Numbers: [14, 28]
Generated Node #0,0,3: 90:[14, 28] Operation: 6+22=28
Exploring Operation: 22-14=8, Resulting Numbers: [6, 8]
Generated Node #0,0,4: 90:[6, 8] Operation: 22-14=8
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 90:[6, 8], Operations: ['94-72=22', '22-14=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,90 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,90 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:[14, 16], Operations: ['94-72=22', '22-6=16']
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,90 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 #0,0,3
Current State: 90:[14, 28], Operations: ['94-72=22', '6+22=28']
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 14*28=392, Resulting Numbers: [392]
392,90 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 14+28=42, Resulting Numbers: [42]
42,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[22, 8], Operations: ['94-72=22', '14-6=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,90 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 #0,0,2
Current State: 90:[22, 20], Operations: ['94-72=22', '14+6=20']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 22+20=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 22*20=440, Resulting Numbers: [440]
440,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[14, 94, 12], Operations: ['72/6=12']
Exploring Operation: 14+12=26, Resulting Numbers: [94, 26]
Generated Node #0,1,0: 90:[94, 26] Operation: 14+12=26
Exploring Operation: 94+12=106, Resulting Numbers: [14, 106]
Generated Node #0,1,1: 90:[14, 106] Operation: 94+12=106
Exploring Operation: 94-14=80, Resulting Numbers: [12, 80]
Generated Node #0,1,2: 90:[12, 80] Operation: 94-14=80
Exploring Operation: 14-12=2, Resulting Numbers: [94, 2]
Generated Node #0,1,3: 90:[94, 2] Operation: 14-12=2
Exploring Operation: 94-12=82, Resulting Numbers: [14, 82]
Generated Node #0,1,4: 90:[14, 82] Operation: 94-12=82
Moving to Node #0,1,3
Current State: 90:[94, 2], Operations: ['72/6=12', '14-12=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,90 unequal: No Solution
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,90 unequal: No Solution
Exploring Operation: 94*2=188, Resulting Numbers: [188]
188,90 unequal: No Solution
Exploring Operation: 94+2=96, Resulting Numbers: [96]
96,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[94, 26], Operations: ['72/6=12', '14+12=26']
Exploring Operation: 94*26=2444, Resulting Numbers: [2444]
2444,90 unequal: No Solution
Exploring Operation: 94-26=68, Resulting Numbers: [68]
68,90 unequal: No Solution
Exploring Operation: 94+26=120, Resulting Numbers: [120]
120,90 unequal: No Solution
Moving to Node #0,1,4
Current State: 90:[14, 82], Operations: ['72/6=12', '94-12=82']
Exploring Operation: 14*82=1148, Resulting Numbers: [1148]
1148,90 unequal: No Solution
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,90 unequal: No Solution
Exploring Operation: 14+82=96, Resulting Numbers: [96]
96,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[12, 80], Operations: ['72/6=12', '94-14=80']
Exploring Operation: 12+80=92, Resulting Numbers: [92]
92,90 unequal: No Solution
Exploring Operation: 12*80=960, Resulting Numbers: [960]
960,90 unequal: No Solution
Exploring Operation: 80-12=68, Resulting Numbers: [68]
68,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[14, 106], Operations: ['72/6=12', '94+12=106']
Exploring Operation: 14+106=120, Resulting Numbers: [120]
120,90 unequal: No Solution
Exploring Operation: 106-14=92, Resulting Numbers: [92]
92,90 unequal: No Solution
Exploring Operation: 14*106=1484, Resulting Numbers: [1484]
1484,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 90:[94, 6, 86], Operations: ['72+14=86']
Exploring Operation: 6+86=92, Resulting Numbers: [94, 92]
Generated Node #0,3,0: 90:[94, 92] Operation: 6+86=92
Exploring Operation: 86-6=80, Resulting Numbers: [94, 80]
Generated Node #0,3,1: 90:[94, 80] Operation: 86-6=80
Exploring Operation: 94-86=8, Resulting Numbers: [6, 8]
Generated Node #0,3,2: 90:[6, 8] Operation: 94-86=8
Exploring Operation: 94+6=100, Resulting Numbers: [86, 100]
Generated Node #0,3,3: 90:[86, 100] Operation: 94+6=100
Exploring Operation: 94-6=88, Resulting Numbers: [86, 88]
Generated Node #0,3,4: 90:[86, 88] Operation: 94-6=88
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 90:[6, 8], Operations: ['72+14=86', '94-86=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,90 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,90 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 #0,3,0
Current State: 90:[94, 92], Operations: ['72+14=86', '6+86=92']
Exploring Operation: 94+92=186, Resulting Numbers: [186]
186,90 unequal: No Solution
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 94*92=8648, Resulting Numbers: [8648]
8648,90 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 #0,3,4
Current State: 90:[86, 88], Operations: ['72+14=86', '94-6=88']
Exploring Operation: 88-86=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 86+88=174, Resulting Numbers: [174]
174,90 unequal: No Solution
Exploring Operation: 86*88=7568, Resulting Numbers: [7568]
7568,90 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 #0,3,1
Current State: 90:[94, 80], Operations: ['72+14=86', '86-6=80']
Exploring Operation: 94+80=174, Resulting Numbers: [174]
174,90 unequal: No Solution
Exploring Operation: 94*80=7520, Resulting Numbers: [7520]
7520,90 unequal: No Solution
Exploring Operation: 94-80=14, Resulting Numbers: [14]
14,90 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 #0,3,3
Current State: 90:[86, 100], Operations: ['72+14=86', '94+6=100']
Exploring Operation: 86*100=8600, Resulting Numbers: [8600]
8600,90 unequal: No Solution
Exploring Operation: 100-86=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 86+100=186, Resulting Numbers: [186]
186,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[94, 6, 58], Operations: ['72-14=58']
Exploring Operation: 58-6=52, Resulting Numbers: [94, 52]
Generated Node #0,2,0: 90:[94, 52] Operation: 58-6=52
Exploring Operation: 6+58=64, Resulting Numbers: [94, 64]
Generated Node #0,2,1: 90:[94, 64] Operation: 6+58=64
Exploring Operation: 94-6=88, Resulting Numbers: [58, 88]
Generated Node #0,2,2: 90:[58, 88] Operation: 94-6=88
Exploring Operation: 94-58=36, Resulting Numbers: [6, 36]
Generated Node #0,2,3: 90:[6, 36] Operation: 94-58=36
Exploring Operation: 94+6=100, Resulting Numbers: [58, 100]
Generated Node #0,2,4: 90:[58, 100] Operation: 94+6=100
Moving to Node #0,2,3
Current State: 90:[6, 36], Operations: ['72-14=58', '94-58=36']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,90 unequal: No Solution
Exploring Operation: 6*36=216, Resulting Numbers: [216]
216,90 unequal: No Solution
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Moving to Node #0,2,0
Current State: 90:[94, 52], Operations: ['72-14=58', '58-6=52']
Exploring Operation: 94+52=146, Resulting Numbers: [146]
146,90 unequal: No Solution
Exploring Operation: 94-52=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 94*52=4888, Resulting Numbers: [4888]
4888,90 unequal: No Solution
Moving to Node #0,2,2
Current State: 90:[58, 88], Operations: ['72-14=58', '94-6=88']
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 58+88=146, Resulting Numbers: [146]
146,90 unequal: No Solution
Exploring Operation: 58*88=5104, Resulting Numbers: [5104]
5104,90 unequal: No Solution
Moving to Node #0,2,1
Current State: 90:[94, 64], Operations: ['72-14=58', '6+58=64']
Exploring Operation: 94+64=158, Resulting Numbers: [158]
158,90 unequal: No Solution
Exploring Operation: 94-64=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 94*64=6016, Resulting Numbers: [6016]
6016,90 unequal: No Solution
Moving to Node #0,2,4
Current State: 90:[58, 100], Operations: ['72-14=58', '94+6=100']
Exploring Operation: 58*100=5800, Resulting Numbers: [5800]
5800,90 unequal: No Solution
Exploring Operation: 58+100=158, Resulting Numbers: [158]
158,90 unequal: No Solution
Exploring Operation: 100-58=42, Resulting Numbers: [42]
42,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 90:[14, 94, 78], Operations: ['72+6=78']
Exploring Operation: 14+94=108, Resulting Numbers: [78, 108]
Generated Node #0,4,0: 90:[78, 108] Operation: 14+94=108
Exploring Operation: 94-14=80, Resulting Numbers: [78, 80]
Generated Node #0,4,1: 90:[78, 80] Operation: 94-14=80
Exploring Operation: 14+78=92, Resulting Numbers: [94, 92]
Generated Node #0,4,2: 90:[94, 92] Operation: 14+78=92
Exploring Operation: 78-14=64, Resulting Numbers: [94, 64]
Generated Node #0,4,3: 90:[94, 64] Operation: 78-14=64
Exploring Operation: 94-78=16, Resulting Numbers: [14, 16]
Generated Node #0,4,4: 90:[14, 16] Operation: 94-78=16
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 90:[14, 16], Operations: ['72+6=78', '94-78=16']
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,90 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,90 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 #0,4,2
Current State: 90:[94, 92], Operations: ['72+6=78', '14+78=92']
Exploring Operation: 94*92=8648, Resulting Numbers: [8648]
8648,90 unequal: No Solution
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 94+92=186, Resulting Numbers: [186]
186,90 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 #0,4,1
Current State: 90:[78, 80], Operations: ['72+6=78', '94-14=80']
Exploring Operation: 78+80=158, Resulting Numbers: [158]
158,90 unequal: No Solution
Exploring Operation: 80-78=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 78*80=6240, Resulting Numbers: [6240]
6240,90 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 #0,4,3
Current State: 90:[94, 64], Operations: ['72+6=78', '78-14=64']
Exploring Operation: 94-64=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 94+64=158, Resulting Numbers: [158]
158,90 unequal: No Solution
Exploring Operation: 94*64=6016, Resulting Numbers: [6016]
6016,90 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 #0,4,0
Current State: 90:[78, 108], Operations: ['72+6=78', '14+94=108']
Exploring Operation: 78*108=8424, Resulting Numbers: [8424]
8424,90 unequal: No Solution
Exploring Operation: 78+108=186, Resulting Numbers: [186]
186,90 unequal: No Solution
Exploring Operation: 108-78=30, Resulting Numbers: [30]
30,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
24,
74,
37,
51
] | 63 | [
"24*37=888",
"888/74=12",
"51+12=63"
] | Current State: 63:[24, 74, 37, 51], Operations: []
Exploring Operation: 24*37=888, Resulting Numbers: [74, 51, 888]
Generated Node #2: [74, 51, 888] from Operation: 24*37=888
Current State: 63:[74, 51, 888], Operations: ['24*37=888']
Exploring Operation: 888/74=12, Resulting Numbers: [51, 12]
Generated Node #3: [51, 12] from Operation: 888/74=12
Current State: 63:[51, 12], Operations: ['24*37=888', '888/74=12']
Exploring Operation: 51+12=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[24, 74, 37, 51], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [24, 51, 2]
Generated Node #0,0: 63:[24, 51, 2] Operation: 74/37=2
Exploring Operation: 51-37=14, Resulting Numbers: [24, 74, 14]
Generated Node #0,1: 63:[24, 74, 14] Operation: 51-37=14
Exploring Operation: 74-51=23, Resulting Numbers: [24, 37, 23]
Generated Node #0,2: 63:[24, 37, 23] Operation: 74-51=23
Exploring Operation: 24+37=61, Resulting Numbers: [74, 51, 61]
Generated Node #0,3: 63:[74, 51, 61] Operation: 24+37=61
Moving to Node #0,0
Current State: 63:[24, 51, 2], Operations: ['74/37=2']
Exploring Operation: 24-2=22, Resulting Numbers: [51, 22]
Generated Node #0,0,0: 63:[51, 22] Operation: 24-2=22
Exploring Operation: 24+51=75, Resulting Numbers: [2, 75]
Generated Node #0,0,1: 63:[2, 75] Operation: 24+51=75
Exploring Operation: 51+2=53, Resulting Numbers: [24, 53]
Generated Node #0,0,2: 63:[24, 53] Operation: 51+2=53
Exploring Operation: 51-24=27, Resulting Numbers: [2, 27]
Generated Node #0,0,3: 63:[2, 27] Operation: 51-24=27
Moving to Node #0,1
Current State: 63:[24, 74, 14], Operations: ['51-37=14']
Exploring Operation: 24+14=38, Resulting Numbers: [74, 38]
Generated Node #0,1,0: 63:[74, 38] Operation: 24+14=38
Exploring Operation: 74-24=50, Resulting Numbers: [14, 50]
Generated Node #0,1,1: 63:[14, 50] Operation: 74-24=50
Exploring Operation: 74-14=60, Resulting Numbers: [24, 60]
Generated Node #0,1,2: 63:[24, 60] Operation: 74-14=60
Exploring Operation: 24-14=10, Resulting Numbers: [74, 10]
Generated Node #0,1,3: 63:[74, 10] Operation: 24-14=10
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 63:[24, 60], Operations: ['51-37=14', '74-14=60']
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 63:[74, 10], Operations: ['51-37=14', '24-14=10']
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 74*10=740, Resulting Numbers: [740]
740,63 unequal: No Solution
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[14, 50], Operations: ['51-37=14', '74-24=50']
Exploring Operation: 14+50=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 14*50=700, Resulting Numbers: [700]
700,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[74, 38], Operations: ['51-37=14', '24+14=38']
Exploring Operation: 74-38=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 74+38=112, Resulting Numbers: [112]
112,63 unequal: No Solution
Exploring Operation: 74*38=2812, Resulting Numbers: [2812]
2812,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 63:[24, 37, 23], Operations: ['74-51=23']
Exploring Operation: 37-23=14, Resulting Numbers: [24, 14]
Generated Node #0,2,0: 63:[24, 14] Operation: 37-23=14
Exploring Operation: 37-24=13, Resulting Numbers: [23, 13]
Generated Node #0,2,1: 63:[23, 13] Operation: 37-24=13
Exploring Operation: 37+23=60, Resulting Numbers: [24, 60]
Generated Node #0,2,2: 63:[24, 60] Operation: 37+23=60
Exploring Operation: 24+37=61, Resulting Numbers: [23, 61]
Generated Node #0,2,3: 63:[23, 61] Operation: 24+37=61
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 63:[23, 61], Operations: ['74-51=23', '24+37=61']
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 23+61=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 23*61=1403, Resulting Numbers: [1403]
1403,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 63:[23, 13], Operations: ['74-51=23', '37-24=13']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,63 unequal: No Solution
Exploring Operation: 23+13=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 23*13=299, Resulting Numbers: [299]
299,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 63:[24, 60], Operations: ['74-51=23', '37+23=60']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 63:[24, 14], Operations: ['74-51=23', '37-23=14']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,63 unequal: No Solution
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 24*14=336, Resulting Numbers: [336]
336,63 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: 63:[74, 51, 61], Operations: ['24+37=61']
Exploring Operation: 74-51=23, Resulting Numbers: [61, 23]
Generated Node #0,3,0: 63:[61, 23] Operation: 74-51=23
Exploring Operation: 61-51=10, Resulting Numbers: [74, 10]
Generated Node #0,3,1: 63:[74, 10] Operation: 61-51=10
Exploring Operation: 74-61=13, Resulting Numbers: [51, 13]
Generated Node #0,3,2: 63:[51, 13] Operation: 74-61=13
Exploring Operation: 51+61=112, Resulting Numbers: [74, 112]
Generated Node #0,3,3: 63:[74, 112] Operation: 51+61=112
Moving to Node #0,3,0
Current State: 63:[61, 23], Operations: ['24+37=61', '74-51=23']
Exploring Operation: 61*23=1403, Resulting Numbers: [1403]
1403,63 unequal: No Solution
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 61+23=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Moving to Node #0,0,3
Current State: 63:[2, 27], Operations: ['74/37=2', '51-24=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,63 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,63 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Moving to Node #0,3,1
Current State: 63:[74, 10], Operations: ['24+37=61', '61-51=10']
Exploring Operation: 74*10=740, Resulting Numbers: [740]
740,63 unequal: No Solution
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[2, 75], Operations: ['74/37=2', '24+51=75']
Exploring Operation: 2*75=150, Resulting Numbers: [150]
150,63 unequal: No Solution
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,63 unequal: No Solution
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[51, 22], Operations: ['74/37=2', '24-2=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 51+22=73, Resulting Numbers: [73]
73,63 unequal: No Solution
Exploring Operation: 51*22=1122, Resulting Numbers: [1122]
1122,63 unequal: No Solution
Moving to Node #0,0,2
Current State: 63:[24, 53], Operations: ['74/37=2', '51+2=53']
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,63 unequal: No Solution
Exploring Operation: 24*53=1272, Resulting Numbers: [1272]
1272,63 unequal: No Solution
Moving to Node #0,3,2
Current State: 63:[51, 13], Operations: ['24+37=61', '74-61=13']
Exploring Operation: 51+13=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 51*13=663, Resulting Numbers: [663]
663,63 unequal: No Solution
Moving to Node #0,3,3
Current State: 63:[74, 112], Operations: ['24+37=61', '51+61=112']
Exploring Operation: 74+112=186, Resulting Numbers: [186]
186,63 unequal: No Solution
Exploring Operation: 112-74=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 74*112=8288, Resulting Numbers: [8288]
8288,63 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
18,
53,
34,
73
] | 32 | [
"18+53=71",
"73-34=39",
"71-39=32"
] | Current State: 32:[18, 53, 34, 73], Operations: []
Exploring Operation: 18+53=71, Resulting Numbers: [34, 73, 71]
Generated Node #2: [34, 73, 71] from Operation: 18+53=71
Current State: 32:[34, 73, 71], Operations: ['18+53=71']
Exploring Operation: 73-34=39, Resulting Numbers: [71, 39]
Generated Node #3: [71, 39] from Operation: 73-34=39
Current State: 32:[71, 39], Operations: ['18+53=71', '73-34=39']
Exploring Operation: 71-39=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[18, 53, 34, 73], Operations: []
Exploring Operation: 73-53=20, Resulting Numbers: [18, 34, 20]
Generated Node #0,0: 32:[18, 34, 20] Operation: 73-53=20
Moving to Node #0,0
Current State: 32:[18, 34, 20], Operations: ['73-53=20']
Exploring Operation: 20-18=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 32:[34, 2] Operation: 20-18=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[34, 2], Operations: ['73-53=20', '20-18=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[18, 53, 34, 73], Operations: []
Exploring Operation: 73-53=20, Resulting Numbers: [18, 34, 20]
Generated Node #0,0: 32:[18, 34, 20] Operation: 73-53=20
Moving to Node #0,0
Current State: 32:[18, 34, 20], Operations: ['73-53=20']
Exploring Operation: 20-18=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 32:[34, 2] Operation: 20-18=2
Moving to Node #0,0,0
Current State: 32:[34, 2], Operations: ['73-53=20', '20-18=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
5,
25,
35,
24
] | 16 | [
"25/5=5",
"35-24=11",
"5+11=16"
] | Current State: 16:[5, 25, 35, 24], Operations: []
Exploring Operation: 25/5=5, Resulting Numbers: [35, 24, 5]
Generated Node #2: [35, 24, 5] from Operation: 25/5=5
Current State: 16:[35, 24, 5], Operations: ['25/5=5']
Exploring Operation: 35-24=11, Resulting Numbers: [5, 11]
Generated Node #3: [5, 11] from Operation: 35-24=11
Current State: 16:[5, 11], Operations: ['25/5=5', '35-24=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[5, 25, 35, 24], Operations: []
Exploring Operation: 35/5=7, Resulting Numbers: [25, 24, 7]
Generated Node #0,0: 16:[25, 24, 7] Operation: 35/5=7
Exploring Operation: 35-25=10, Resulting Numbers: [5, 24, 10]
Generated Node #0,1: 16:[5, 24, 10] Operation: 35-25=10
Exploring Operation: 35-24=11, Resulting Numbers: [5, 25, 11]
Generated Node #0,2: 16:[5, 25, 11] Operation: 35-24=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[5, 24, 10], Operations: ['35-25=10']
Exploring Operation: 24-5=19, Resulting Numbers: [10, 19]
Generated Node #0,1,0: 16:[10, 19] Operation: 24-5=19
Exploring Operation: 10/5=2, Resulting Numbers: [24, 2]
Generated Node #0,1,1: 16:[24, 2] Operation: 10/5=2
Exploring Operation: 24-10=14, Resulting Numbers: [5, 14]
Generated Node #0,1,2: 16:[5, 14] Operation: 24-10=14
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 16:[5, 14], Operations: ['35-25=10', '24-10=14']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,16 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 16:[10, 19], Operations: ['35-25=10', '24-5=19']
Exploring Operation: 10*19=190, Resulting Numbers: [190]
190,16 unequal: No Solution
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,16 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 16:[24, 2], Operations: ['35-25=10', '10/5=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[5, 25, 11], Operations: ['35-24=11']
Exploring Operation: 25-11=14, Resulting Numbers: [5, 14]
Generated Node #0,2,0: 16:[5, 14] Operation: 25-11=14
Exploring Operation: 25-5=20, Resulting Numbers: [11, 20]
Generated Node #0,2,1: 16:[11, 20] Operation: 25-5=20
Exploring Operation: 25/5=5, Resulting Numbers: [11, 5]
Generated Node #0,2,2: 16:[11, 5] Operation: 25/5=5
Moving to Node #0,2,0
Current State: 16:[5, 14], Operations: ['35-24=11', '25-11=14']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,16 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Moving to Node #0,2,2
Current State: 16:[11, 5], Operations: ['35-24=11', '25/5=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[5, 25, 35, 24], Operations: []
Exploring Operation: 35-24=11, Resulting Numbers: [5, 25, 11]
Generated Node #0,2: 16:[5, 25, 11] Operation: 35-24=11
Moving to Node #0,2
Current State: 16:[5, 25, 11], Operations: ['35-24=11']
Exploring Operation: 25/5=5, Resulting Numbers: [11, 5]
Generated Node #0,2,2: 16:[11, 5] Operation: 25/5=5
Moving to Node #0,2,2
Current State: 16:[11, 5], Operations: ['35-24=11', '25/5=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | mult_heuristic |
[
92,
76,
88,
17
] | 63 | [
"92+76=168",
"88+17=105",
"168-105=63"
] | Current State: 63:[92, 76, 88, 17], Operations: []
Exploring Operation: 92+76=168, Resulting Numbers: [88, 17, 168]
Generated Node #2: [88, 17, 168] from Operation: 92+76=168
Current State: 63:[88, 17, 168], Operations: ['92+76=168']
Exploring Operation: 88+17=105, Resulting Numbers: [168, 105]
Generated Node #3: [168, 105] from Operation: 88+17=105
Current State: 63:[168, 105], Operations: ['92+76=168', '88+17=105']
Exploring Operation: 168-105=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[92, 76, 88, 17], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [76, 17, 4]
Generated Node #0,0: 63:[76, 17, 4] Operation: 92-88=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[76, 17, 4], Operations: ['92-88=4']
Exploring Operation: 76-17=59, Resulting Numbers: [4, 59]
Generated Node #0,0,0: 63:[4, 59] Operation: 76-17=59
Moving to Node #0,0,0
Current State: 63:[4, 59], Operations: ['92-88=4', '76-17=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[92, 76, 88, 17], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [76, 17, 4]
Generated Node #0,0: 63:[76, 17, 4] Operation: 92-88=4
Moving to Node #0,0
Current State: 63:[76, 17, 4], Operations: ['92-88=4']
Exploring Operation: 76-17=59, Resulting Numbers: [4, 59]
Generated Node #0,0,0: 63:[4, 59] Operation: 76-17=59
Moving to Node #0,0,0
Current State: 63:[4, 59], Operations: ['92-88=4', '76-17=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
56,
41,
65,
9
] | 71 | [
"56-41=15",
"65-9=56",
"15+56=71"
] | Current State: 71:[56, 41, 65, 9], Operations: []
Exploring Operation: 56-41=15, Resulting Numbers: [65, 9, 15]
Generated Node #2: [65, 9, 15] from Operation: 56-41=15
Current State: 71:[65, 9, 15], Operations: ['56-41=15']
Exploring Operation: 65-9=56, Resulting Numbers: [15, 56]
Generated Node #3: [15, 56] from Operation: 65-9=56
Current State: 71:[15, 56], Operations: ['56-41=15', '65-9=56']
Exploring Operation: 15+56=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[56, 41, 65, 9], Operations: []
Exploring Operation: 41+9=50, Resulting Numbers: [56, 65, 50]
Generated Node #0,0: 71:[56, 65, 50] Operation: 41+9=50
Exploring Operation: 56+9=65, Resulting Numbers: [41, 65, 65]
Generated Node #0,1: 71:[41, 65, 65] Operation: 56+9=65
Moving to Node #0,0
Current State: 71:[56, 65, 50], Operations: ['41+9=50']
Exploring Operation: 65+50=115, Resulting Numbers: [56, 115]
Generated Node #0,0,0: 71:[56, 115] Operation: 65+50=115
Exploring Operation: 56+50=106, Resulting Numbers: [65, 106]
Generated Node #0,0,1: 71:[65, 106] Operation: 56+50=106
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[65, 106], Operations: ['41+9=50', '56+50=106']
Exploring Operation: 106-65=41, Resulting Numbers: [41]
41,71 unequal: No Solution
Exploring Operation: 65+106=171, Resulting Numbers: [171]
171,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[56, 115], Operations: ['41+9=50', '65+50=115']
Exploring Operation: 56+115=171, Resulting Numbers: [171]
171,71 unequal: No Solution
Exploring Operation: 115-56=59, Resulting Numbers: [59]
59,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 71:[41, 65, 65], Operations: ['56+9=65']
Exploring Operation: 41+65=106, Resulting Numbers: [65, 106]
Generated Node #0,1,0: 71:[65, 106] Operation: 41+65=106
Exploring Operation: 41+65=106, Resulting Numbers: [65, 106]
Generated Node #0,1,1: 71:[65, 106] Operation: 41+65=106
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[65, 106], Operations: ['56+9=65', '41+65=106']
Exploring Operation: 106-65=41, Resulting Numbers: [41]
41,71 unequal: No Solution
Exploring Operation: 65+106=171, Resulting Numbers: [171]
171,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[65, 106], Operations: ['56+9=65', '41+65=106']
Exploring Operation: 106-65=41, Resulting Numbers: [41]
41,71 unequal: No Solution
Exploring Operation: 65+106=171, Resulting Numbers: [171]
171,71 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 |
[
91,
67,
20,
51
] | 69 | [
"91-51=40",
"40/20=2",
"67+2=69"
] | Current State: 69:[91, 67, 20, 51], Operations: []
Exploring Operation: 91-51=40, Resulting Numbers: [67, 20, 40]
Generated Node #2: [67, 20, 40] from Operation: 91-51=40
Current State: 69:[67, 20, 40], Operations: ['91-51=40']
Exploring Operation: 40/20=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 40/20=2
Current State: 69:[67, 2], Operations: ['91-51=40', '40/20=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[91, 67, 20, 51], Operations: []
Exploring Operation: 91-20=71, Resulting Numbers: [67, 51, 71]
Generated Node #0,0: 69:[67, 51, 71] Operation: 91-20=71
Exploring Operation: 20+51=71, Resulting Numbers: [91, 67, 71]
Generated Node #0,1: 69:[91, 67, 71] Operation: 20+51=71
Exploring Operation: 91-67=24, Resulting Numbers: [20, 51, 24]
Generated Node #0,2: 69:[20, 51, 24] Operation: 91-67=24
Exploring Operation: 91-51=40, Resulting Numbers: [67, 20, 40]
Generated Node #0,3: 69:[67, 20, 40] Operation: 91-51=40
Moving to Node #0,0
Current State: 69:[67, 51, 71], Operations: ['91-20=71']
Exploring Operation: 67+51=118, Resulting Numbers: [71, 118]
Generated Node #0,0,0: 69:[71, 118] Operation: 67+51=118
Exploring Operation: 67-51=16, Resulting Numbers: [71, 16]
Generated Node #0,0,1: 69:[71, 16] Operation: 67-51=16
Exploring Operation: 71-67=4, Resulting Numbers: [51, 4]
Generated Node #0,0,2: 69:[51, 4] Operation: 71-67=4
Exploring Operation: 71-51=20, Resulting Numbers: [67, 20]
Generated Node #0,0,3: 69:[67, 20] Operation: 71-51=20
Moving to Node #0,3
Current State: 69:[67, 20, 40], Operations: ['91-51=40']
Exploring Operation: 40-20=20, Resulting Numbers: [67, 20]
Generated Node #0,3,0: 69:[67, 20] Operation: 40-20=20
Exploring Operation: 20+40=60, Resulting Numbers: [67, 60]
Generated Node #0,3,1: 69:[67, 60] Operation: 20+40=60
Exploring Operation: 40/20=2, Resulting Numbers: [67, 2]
Generated Node #0,3,2: 69:[67, 2] Operation: 40/20=2
Exploring Operation: 67-40=27, Resulting Numbers: [20, 27]
Generated Node #0,3,3: 69:[20, 27] Operation: 67-40=27
Moving to Node #0,2
Current State: 69:[20, 51, 24], Operations: ['91-67=24']
Exploring Operation: 51+24=75, Resulting Numbers: [20, 75]
Generated Node #0,2,0: 69:[20, 75] Operation: 51+24=75
Exploring Operation: 20+51=71, Resulting Numbers: [24, 71]
Generated Node #0,2,1: 69:[24, 71] Operation: 20+51=71
Exploring Operation: 51-24=27, Resulting Numbers: [20, 27]
Generated Node #0,2,2: 69:[20, 27] Operation: 51-24=27
Exploring Operation: 51-20=31, Resulting Numbers: [24, 31]
Generated Node #0,2,3: 69:[24, 31] Operation: 51-20=31
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 69:[24, 71], Operations: ['91-67=24', '20+51=71']
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Exploring Operation: 24*71=1704, Resulting Numbers: [1704]
1704,69 unequal: No Solution
Exploring Operation: 24+71=95, Resulting Numbers: [95]
95,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 69:[20, 27], Operations: ['91-67=24', '51-24=27']
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,69 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 69:[20, 75], Operations: ['91-67=24', '51+24=75']
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 20+75=95, Resulting Numbers: [95]
95,69 unequal: No Solution
Exploring Operation: 20*75=1500, Resulting Numbers: [1500]
1500,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 69:[24, 31], Operations: ['91-67=24', '51-20=31']
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,69 unequal: No Solution
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 24*31=744, Resulting Numbers: [744]
744,69 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: 69:[91, 67, 71], Operations: ['20+51=71']
Exploring Operation: 91-67=24, Resulting Numbers: [71, 24]
Generated Node #0,1,0: 69:[71, 24] Operation: 91-67=24
Exploring Operation: 91+67=158, Resulting Numbers: [71, 158]
Generated Node #0,1,1: 69:[71, 158] Operation: 91+67=158
Exploring Operation: 71-67=4, Resulting Numbers: [91, 4]
Generated Node #0,1,2: 69:[91, 4] Operation: 71-67=4
Exploring Operation: 91-71=20, Resulting Numbers: [67, 20]
Generated Node #0,1,3: 69:[67, 20] Operation: 91-71=20
Moving to Node #0,3,2
Current State: 69:[67, 2], Operations: ['91-51=40', '40/20=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[91, 67, 20, 51], Operations: []
Exploring Operation: 91-51=40, Resulting Numbers: [67, 20, 40]
Generated Node #0,3: 69:[67, 20, 40] Operation: 91-51=40
Moving to Node #0,3
Current State: 69:[67, 20, 40], Operations: ['91-51=40']
Exploring Operation: 40/20=2, Resulting Numbers: [67, 2]
Generated Node #0,3,2: 69:[67, 2] Operation: 40/20=2
Moving to Node #0,3,2
Current State: 69:[67, 2], Operations: ['91-51=40', '40/20=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 0.967882 | hs_4 | mult_heuristic |
[
52,
71,
88,
4
] | 12 | [
"71-52=19",
"4*19=76",
"88-76=12"
] | Current State: 12:[52, 71, 88, 4], Operations: []
Exploring Operation: 71-52=19, Resulting Numbers: [88, 4, 19]
Generated Node #2: [88, 4, 19] from Operation: 71-52=19
Current State: 12:[88, 4, 19], Operations: ['71-52=19']
Exploring Operation: 4*19=76, Resulting Numbers: [88, 76]
Generated Node #3: [88, 76] from Operation: 4*19=76
Current State: 12:[88, 76], Operations: ['71-52=19', '4*19=76']
Exploring Operation: 88-76=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[52, 71, 88, 4], Operations: []
Exploring Operation: 71-52=19, Resulting Numbers: [88, 4, 19]
Generated Node #0,0: 12:[88, 4, 19] Operation: 71-52=19
Exploring Operation: 88-71=17, Resulting Numbers: [52, 4, 17]
Generated Node #0,1: 12:[52, 4, 17] Operation: 88-71=17
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[52, 4, 17], Operations: ['88-71=17']
Exploring Operation: 52-17=35, Resulting Numbers: [4, 35]
Generated Node #0,1,0: 12:[4, 35] Operation: 52-17=35
Exploring Operation: 52/4=13, Resulting Numbers: [17, 13]
Generated Node #0,1,1: 12:[17, 13] Operation: 52/4=13
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 12:[17, 13], Operations: ['88-71=17', '52/4=13']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,12 unequal: No Solution
No 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: 12:[4, 35], Operations: ['88-71=17', '52-17=35']
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,12 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: 12:[88, 4, 19], Operations: ['71-52=19']
Exploring Operation: 88/4=22, Resulting Numbers: [19, 22]
Generated Node #0,0,0: 12:[19, 22] Operation: 88/4=22
Exploring Operation: 88-19=69, Resulting Numbers: [4, 69]
Generated Node #0,0,1: 12:[4, 69] Operation: 88-19=69
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[19, 22], Operations: ['71-52=19', '88/4=22']
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,12 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No 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: 12:[4, 69], Operations: ['71-52=19', '88-19=69']
Exploring Operation: 69-4=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 4+69=73, Resulting Numbers: [73]
73,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
3,
55,
74,
1
] | 38 | [
"3-1=2",
"74-55=19",
"2*19=38"
] | Current State: 38:[3, 55, 74, 1], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [55, 74, 2]
Generated Node #2: [55, 74, 2] from Operation: 3-1=2
Current State: 38:[55, 74, 2], Operations: ['3-1=2']
Exploring Operation: 74-55=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 74-55=19
Current State: 38:[2, 19], Operations: ['3-1=2', '74-55=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[3, 55, 74, 1], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [3, 1, 19]
Generated Node #0,0: 38:[3, 1, 19] Operation: 74-55=19
Moving to Node #0,0
Current State: 38:[3, 1, 19], Operations: ['74-55=19']
Exploring Operation: 3-1=2, Resulting Numbers: [19, 2]
Generated Node #0,0,0: 38:[19, 2] Operation: 3-1=2
Moving to Node #0,0,0
Current State: 38:[19, 2], Operations: ['74-55=19', '3-1=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[3, 55, 74, 1], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [3, 1, 19]
Generated Node #0,0: 38:[3, 1, 19] Operation: 74-55=19
Moving to Node #0,0
Current State: 38:[3, 1, 19], Operations: ['74-55=19']
Exploring Operation: 3-1=2, Resulting Numbers: [19, 2]
Generated Node #0,0,0: 38:[19, 2] Operation: 3-1=2
Moving to Node #0,0,0
Current State: 38:[19, 2], Operations: ['74-55=19', '3-1=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
56,
96,
61,
26
] | 14 | [
"61-56=5",
"96-26=70",
"70/5=14"
] | Current State: 14:[56, 96, 61, 26], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [96, 26, 5]
Generated Node #2: [96, 26, 5] from Operation: 61-56=5
Current State: 14:[96, 26, 5], Operations: ['61-56=5']
Exploring Operation: 96-26=70, Resulting Numbers: [5, 70]
Generated Node #3: [5, 70] from Operation: 96-26=70
Current State: 14:[5, 70], Operations: ['61-56=5', '96-26=70']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[56, 96, 61, 26], Operations: []
Exploring Operation: 96-61=35, Resulting Numbers: [56, 26, 35]
Generated Node #0,0: 14:[56, 26, 35] Operation: 96-61=35
Moving to Node #0,0
Current State: 14:[56, 26, 35], Operations: ['96-61=35']
Exploring Operation: 56-35=21, Resulting Numbers: [26, 21]
Generated Node #0,0,0: 14:[26, 21] Operation: 56-35=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[26, 21], Operations: ['96-61=35', '56-35=21']
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,14 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 |
[
4,
65,
58,
9
] | 27 | [
"65-4=61",
"61-58=3",
"9*3=27"
] | Current State: 27:[4, 65, 58, 9], Operations: []
Exploring Operation: 65-4=61, Resulting Numbers: [58, 9, 61]
Generated Node #2: [58, 9, 61] from Operation: 65-4=61
Current State: 27:[58, 9, 61], Operations: ['65-4=61']
Exploring Operation: 61-58=3, Resulting Numbers: [9, 3]
Generated Node #3: [9, 3] from Operation: 61-58=3
Current State: 27:[9, 3], Operations: ['65-4=61', '61-58=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[4, 65, 58, 9], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [4, 9, 7]
Generated Node #0,0: 27:[4, 9, 7] Operation: 65-58=7
Exploring Operation: 65-9=56, Resulting Numbers: [4, 58, 56]
Generated Node #0,1: 27:[4, 58, 56] Operation: 65-9=56
Moving to Node #0,0
Current State: 27:[4, 9, 7], Operations: ['65-58=7']
Exploring Operation: 7-4=3, Resulting Numbers: [9, 3]
Generated Node #0,0,0: 27:[9, 3] Operation: 7-4=3
Exploring Operation: 4*7=28, Resulting Numbers: [9, 28]
Generated Node #0,0,1: 27:[9, 28] Operation: 4*7=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[9, 3], Operations: ['65-58=7', '7-4=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[4, 65, 58, 9], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [4, 9, 7]
Generated Node #0,0: 27:[4, 9, 7] Operation: 65-58=7
Moving to Node #0,0
Current State: 27:[4, 9, 7], Operations: ['65-58=7']
Exploring Operation: 7-4=3, Resulting Numbers: [9, 3]
Generated Node #0,0,0: 27:[9, 3] Operation: 7-4=3
Moving to Node #0,0,0
Current State: 27:[9, 3], Operations: ['65-58=7', '7-4=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
30,
42,
18,
10
] | 32 | [
"30/10=3",
"42/3=14",
"18+14=32"
] | Current State: 32:[30, 42, 18, 10], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [42, 18, 3]
Generated Node #2: [42, 18, 3] from Operation: 30/10=3
Current State: 32:[42, 18, 3], Operations: ['30/10=3']
Exploring Operation: 42/3=14, Resulting Numbers: [18, 14]
Generated Node #3: [18, 14] from Operation: 42/3=14
Current State: 32:[18, 14], Operations: ['30/10=3', '42/3=14']
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[30, 42, 18, 10], Operations: []
Exploring Operation: 42-10=32, Resulting Numbers: [30, 18, 32]
Generated Node #0,0: 32:[30, 18, 32] Operation: 42-10=32
Exploring Operation: 42-30=12, Resulting Numbers: [18, 10, 12]
Generated Node #0,1: 32:[18, 10, 12] Operation: 42-30=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[30, 18, 32], Operations: ['42-10=32']
Exploring Operation: 32-30=2, Resulting Numbers: [18, 2]
Generated Node #0,0,0: 32:[18, 2] Operation: 32-30=2
Exploring Operation: 30-18=12, Resulting Numbers: [32, 12]
Generated Node #0,0,1: 32:[32, 12] Operation: 30-18=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[18, 2], Operations: ['42-10=32', '32-30=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,32 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,32 unequal: No Solution
No 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: 32:[32, 12], Operations: ['42-10=32', '30-18=12']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,32 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,32 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: 32:[18, 10, 12], Operations: ['42-30=12']
Exploring Operation: 18-10=8, Resulting Numbers: [12, 8]
Generated Node #0,1,0: 32:[12, 8] Operation: 18-10=8
Exploring Operation: 12-10=2, Resulting Numbers: [18, 2]
Generated Node #0,1,1: 32:[18, 2] Operation: 12-10=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 32:[18, 2], Operations: ['42-30=12', '12-10=2']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,32 unequal: No Solution
No 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: 32:[12, 8], Operations: ['42-30=12', '18-10=8']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,32 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 |
[
27,
12,
71,
76
] | 75 | [
"27-12=15",
"76-71=5",
"15*5=75"
] | Current State: 75:[27, 12, 71, 76], Operations: []
Exploring Operation: 27-12=15, Resulting Numbers: [71, 76, 15]
Generated Node #2: [71, 76, 15] from Operation: 27-12=15
Current State: 75:[71, 76, 15], Operations: ['27-12=15']
Exploring Operation: 76-71=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 76-71=5
Current State: 75:[15, 5], Operations: ['27-12=15', '76-71=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[27, 12, 71, 76], Operations: []
Exploring Operation: 27-12=15, Resulting Numbers: [71, 76, 15]
Generated Node #0,0: 75:[71, 76, 15] Operation: 27-12=15
Exploring Operation: 12+71=83, Resulting Numbers: [27, 76, 83]
Generated Node #0,1: 75:[27, 76, 83] Operation: 12+71=83
Exploring Operation: 76-71=5, Resulting Numbers: [27, 12, 5]
Generated Node #0,2: 75:[27, 12, 5] Operation: 76-71=5
Moving to Node #0,0
Current State: 75:[71, 76, 15], Operations: ['27-12=15']
Exploring Operation: 71+15=86, Resulting Numbers: [76, 86]
Generated Node #0,0,0: 75:[76, 86] Operation: 71+15=86
Exploring Operation: 76-15=61, Resulting Numbers: [71, 61]
Generated Node #0,0,1: 75:[71, 61] Operation: 76-15=61
Exploring Operation: 76-71=5, Resulting Numbers: [15, 5]
Generated Node #0,0,2: 75:[15, 5] Operation: 76-71=5
Moving to Node #0,2
Current State: 75:[27, 12, 5], Operations: ['76-71=5']
Exploring Operation: 12-5=7, Resulting Numbers: [27, 7]
Generated Node #0,2,0: 75:[27, 7] Operation: 12-5=7
Exploring Operation: 27-12=15, Resulting Numbers: [5, 15]
Generated Node #0,2,1: 75:[5, 15] Operation: 27-12=15
Exploring Operation: 12+5=17, Resulting Numbers: [27, 17]
Generated Node #0,2,2: 75:[27, 17] Operation: 12+5=17
Moving to Node #0,1
Current State: 75:[27, 76, 83], Operations: ['12+71=83']
Exploring Operation: 83-76=7, Resulting Numbers: [27, 7]
Generated Node #0,1,0: 75:[27, 7] Operation: 83-76=7
Exploring Operation: 76-27=49, Resulting Numbers: [83, 49]
Generated Node #0,1,1: 75:[83, 49] Operation: 76-27=49
Exploring Operation: 83-27=56, Resulting Numbers: [76, 56]
Generated Node #0,1,2: 75:[76, 56] Operation: 83-27=56
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[27, 7], Operations: ['12+71=83', '83-76=7']
Exploring Operation: 27*7=189, Resulting Numbers: [189]
189,75 unequal: No Solution
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 75:[76, 56], Operations: ['12+71=83', '83-27=56']
Exploring Operation: 76+56=132, Resulting Numbers: [132]
132,75 unequal: No Solution
Exploring Operation: 76-56=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 76*56=4256, Resulting Numbers: [4256]
4256,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[83, 49], Operations: ['12+71=83', '76-27=49']
Exploring Operation: 83+49=132, Resulting Numbers: [132]
132,75 unequal: No Solution
Exploring Operation: 83-49=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Exploring Operation: 83*49=4067, Resulting Numbers: [4067]
4067,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 75:[15, 5], Operations: ['27-12=15', '76-71=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[27, 12, 71, 76], Operations: []
Exploring Operation: 27-12=15, Resulting Numbers: [71, 76, 15]
Generated Node #0,0: 75:[71, 76, 15] Operation: 27-12=15
Moving to Node #0,0
Current State: 75:[71, 76, 15], Operations: ['27-12=15']
Exploring Operation: 76-71=5, Resulting Numbers: [15, 5]
Generated Node #0,0,2: 75:[15, 5] Operation: 76-71=5
Moving to Node #0,0,2
Current State: 75:[15, 5], Operations: ['27-12=15', '76-71=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.977431 | hs_3 | mult_heuristic |
[
16,
1,
44,
9
] | 100 | [
"16*1=16",
"9*16=144",
"144-44=100"
] | Current State: 100:[16, 1, 44, 9], Operations: []
Exploring Operation: 16*1=16, Resulting Numbers: [44, 9, 16]
Generated Node #2: [44, 9, 16] from Operation: 16*1=16
Current State: 100:[44, 9, 16], Operations: ['16*1=16']
Exploring Operation: 9*16=144, Resulting Numbers: [44, 144]
Generated Node #3: [44, 144] from Operation: 9*16=144
Current State: 100:[44, 144], Operations: ['16*1=16', '9*16=144']
Exploring Operation: 144-44=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[16, 1, 44, 9], Operations: []
Exploring Operation: 44+9=53, Resulting Numbers: [16, 1, 53]
Generated Node #0,0: 100:[16, 1, 53] Operation: 44+9=53
Exploring Operation: 16+9=25, Resulting Numbers: [1, 44, 25]
Generated Node #0,1: 100:[1, 44, 25] Operation: 16+9=25
Exploring Operation: 16-9=7, Resulting Numbers: [1, 44, 7]
Generated Node #0,2: 100:[1, 44, 7] Operation: 16-9=7
Exploring Operation: 44-16=28, Resulting Numbers: [1, 9, 28]
Generated Node #0,3: 100:[1, 9, 28] Operation: 44-16=28
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[1, 9, 28], Operations: ['44-16=28']
Exploring Operation: 28-9=19, Resulting Numbers: [1, 19]
Generated Node #0,3,0: 100:[1, 19] Operation: 28-9=19
Exploring Operation: 1*9=9, Resulting Numbers: [28, 9]
Generated Node #0,3,1: 100:[28, 9] Operation: 1*9=9
Exploring Operation: 1+9=10, Resulting Numbers: [28, 10]
Generated Node #0,3,2: 100:[28, 10] Operation: 1+9=10
Exploring Operation: 28-1=27, Resulting Numbers: [9, 27]
Generated Node #0,3,3: 100:[9, 27] Operation: 28-1=27
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 100:[1, 19], Operations: ['44-16=28', '28-9=19']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,100 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,100 unequal: No Solution
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 100:[28, 10], Operations: ['44-16=28', '1+9=10']
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,100 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 100:[9, 27], Operations: ['44-16=28', '28-1=27']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,100 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 9*27=243, Resulting Numbers: [243]
243,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 100:[28, 9], Operations: ['44-16=28', '1*9=9']
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,100 unequal: No Solution
Exploring Operation: 28*9=252, Resulting Numbers: [252]
252,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[1, 44, 25], Operations: ['16+9=25']
Exploring Operation: 44/1=44, Resulting Numbers: [25, 44]
Generated Node #0,1,0: 100:[25, 44] Operation: 44/1=44
Exploring Operation: 44-25=19, Resulting Numbers: [1, 19]
Generated Node #0,1,1: 100:[1, 19] Operation: 44-25=19
Exploring Operation: 1*44=44, Resulting Numbers: [25, 44]
Generated Node #0,1,2: 100:[25, 44] Operation: 1*44=44
Exploring Operation: 1+44=45, Resulting Numbers: [25, 45]
Generated Node #0,1,3: 100:[25, 45] Operation: 1+44=45
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[1, 19], Operations: ['16+9=25', '44-25=19']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,100 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 100:[25, 45], Operations: ['16+9=25', '1+44=45']
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 25+45=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Exploring Operation: 25*45=1125, Resulting Numbers: [1125]
1125,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[25, 44], Operations: ['16+9=25', '44/1=44']
Exploring Operation: 25+44=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 25*44=1100, Resulting Numbers: [1100]
1100,100 unequal: No Solution
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 100:[25, 44], Operations: ['16+9=25', '1*44=44']
Exploring Operation: 25*44=1100, Resulting Numbers: [1100]
1100,100 unequal: No Solution
Exploring Operation: 25+44=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[16, 1, 53], Operations: ['44+9=53']
Exploring Operation: 53-1=52, Resulting Numbers: [16, 52]
Generated Node #0,0,0: 100:[16, 52] Operation: 53-1=52
Exploring Operation: 16/1=16, Resulting Numbers: [53, 16]
Generated Node #0,0,1: 100:[53, 16] Operation: 16/1=16
Exploring Operation: 16+1=17, Resulting Numbers: [53, 17]
Generated Node #0,0,2: 100:[53, 17] Operation: 16+1=17
Exploring Operation: 16*1=16, Resulting Numbers: [53, 16]
Generated Node #0,0,3: 100:[53, 16] Operation: 16*1=16
Moving to Node #0,0,0
Current State: 100:[16, 52], Operations: ['44+9=53', '53-1=52']
Exploring Operation: 16+52=68, Resulting Numbers: [68]
68,100 unequal: No Solution
Exploring Operation: 16*52=832, Resulting Numbers: [832]
832,100 unequal: No Solution
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[53, 17], Operations: ['44+9=53', '16+1=17']
Exploring Operation: 53-17=36, Resulting Numbers: [36]
36,100 unequal: No Solution
Exploring Operation: 53*17=901, Resulting Numbers: [901]
901,100 unequal: No Solution
Exploring Operation: 53+17=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[53, 16], Operations: ['44+9=53', '16*1=16']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Exploring Operation: 53*16=848, Resulting Numbers: [848]
848,100 unequal: No Solution
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[53, 16], Operations: ['44+9=53', '16/1=16']
Exploring Operation: 53*16=848, Resulting Numbers: [848]
848,100 unequal: No Solution
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[1, 44, 7], Operations: ['16-9=7']
Exploring Operation: 7-1=6, Resulting Numbers: [44, 6]
Generated Node #0,2,0: 100:[44, 6] Operation: 7-1=6
Exploring Operation: 1+44=45, Resulting Numbers: [7, 45]
Generated Node #0,2,1: 100:[7, 45] Operation: 1+44=45
Exploring Operation: 44+7=51, Resulting Numbers: [1, 51]
Generated Node #0,2,2: 100:[1, 51] Operation: 44+7=51
Exploring Operation: 1*44=44, Resulting Numbers: [7, 44]
Generated Node #0,2,3: 100:[7, 44] Operation: 1*44=44
Moving to Node #0,2,2
Current State: 100:[1, 51], Operations: ['16-9=7', '44+7=51']
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Moving to Node #0,2,1
Current State: 100:[7, 45], Operations: ['16-9=7', '1+44=45']
Exploring Operation: 7+45=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 7*45=315, Resulting Numbers: [315]
315,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[44, 6], Operations: ['16-9=7', '7-1=6']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 44*6=264, Resulting Numbers: [264]
264,100 unequal: No Solution
Moving to Node #0,2,3
Current State: 100:[7, 44], Operations: ['16-9=7', '1*44=44']
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 7*44=308, Resulting Numbers: [308]
308,100 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
3,
61,
19,
34
] | 30 | [
"3*19=57",
"61-34=27",
"57-27=30"
] | Current State: 30:[3, 61, 19, 34], Operations: []
Exploring Operation: 3*19=57, Resulting Numbers: [61, 34, 57]
Generated Node #2: [61, 34, 57] from Operation: 3*19=57
Current State: 30:[61, 34, 57], Operations: ['3*19=57']
Exploring Operation: 61-34=27, Resulting Numbers: [57, 27]
Generated Node #3: [57, 27] from Operation: 61-34=27
Current State: 30:[57, 27], Operations: ['3*19=57', '61-34=27']
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[3, 61, 19, 34], Operations: []
Exploring Operation: 34-19=15, Resulting Numbers: [3, 61, 15]
Generated Node #0,0: 30:[3, 61, 15] Operation: 34-19=15
Exploring Operation: 61-19=42, Resulting Numbers: [3, 34, 42]
Generated Node #0,1: 30:[3, 34, 42] Operation: 61-19=42
Exploring Operation: 61-34=27, Resulting Numbers: [3, 19, 27]
Generated Node #0,2: 30:[3, 19, 27] Operation: 61-34=27
Exploring Operation: 61-3=58, Resulting Numbers: [19, 34, 58]
Generated Node #0,3: 30:[19, 34, 58] Operation: 61-3=58
Moving to Node #0,2
Current State: 30:[3, 19, 27], Operations: ['61-34=27']
Exploring Operation: 3+27=30, Resulting Numbers: [19, 30]
Generated Node #0,2,0: 30:[19, 30] Operation: 3+27=30
Exploring Operation: 27/3=9, Resulting Numbers: [19, 9]
Generated Node #0,2,1: 30:[19, 9] Operation: 27/3=9
Exploring Operation: 27-19=8, Resulting Numbers: [3, 8]
Generated Node #0,2,2: 30:[3, 8] Operation: 27-19=8
Exploring Operation: 19-3=16, Resulting Numbers: [27, 16]
Generated Node #0,2,3: 30:[27, 16] Operation: 19-3=16
Moving to Node #0,1
Current State: 30:[3, 34, 42], Operations: ['61-19=42']
Exploring Operation: 34-3=31, Resulting Numbers: [42, 31]
Generated Node #0,1,0: 30:[42, 31] Operation: 34-3=31
Exploring Operation: 42-34=8, Resulting Numbers: [3, 8]
Generated Node #0,1,1: 30:[3, 8] Operation: 42-34=8
Exploring Operation: 42-3=39, Resulting Numbers: [34, 39]
Generated Node #0,1,2: 30:[34, 39] Operation: 42-3=39
Exploring Operation: 42/3=14, Resulting Numbers: [34, 14]
Generated Node #0,1,3: 30:[34, 14] Operation: 42/3=14
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 30:[3, 8], Operations: ['61-19=42', '42-34=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,30 unequal: No Solution
No 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: 30:[34, 14], Operations: ['61-19=42', '42/3=14']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Exploring Operation: 34*14=476, Resulting Numbers: [476]
476,30 unequal: No Solution
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,30 unequal: No Solution
No 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: 30:[42, 31], Operations: ['61-19=42', '34-3=31']
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 42*31=1302, Resulting Numbers: [1302]
1302,30 unequal: No Solution
Exploring Operation: 42+31=73, Resulting Numbers: [73]
73,30 unequal: No Solution
No 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: 30:[34, 39], Operations: ['61-19=42', '42-3=39']
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 34+39=73, Resulting Numbers: [73]
73,30 unequal: No Solution
Exploring Operation: 34*39=1326, Resulting Numbers: [1326]
1326,30 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: 30:[3, 61, 15], Operations: ['34-19=15']
Exploring Operation: 61-3=58, Resulting Numbers: [15, 58]
Generated Node #0,0,0: 30:[15, 58] Operation: 61-3=58
Exploring Operation: 15-3=12, Resulting Numbers: [61, 12]
Generated Node #0,0,1: 30:[61, 12] Operation: 15-3=12
Exploring Operation: 15/3=5, Resulting Numbers: [61, 5]
Generated Node #0,0,2: 30:[61, 5] Operation: 15/3=5
Exploring Operation: 61-15=46, Resulting Numbers: [3, 46]
Generated Node #0,0,3: 30:[3, 46] Operation: 61-15=46
Moving to Node #0,3
Current State: 30:[19, 34, 58], Operations: ['61-3=58']
Exploring Operation: 58-19=39, Resulting Numbers: [34, 39]
Generated Node #0,3,0: 30:[34, 39] Operation: 58-19=39
Exploring Operation: 19+34=53, Resulting Numbers: [58, 53]
Generated Node #0,3,1: 30:[58, 53] Operation: 19+34=53
Exploring Operation: 58-34=24, Resulting Numbers: [19, 24]
Generated Node #0,3,2: 30:[19, 24] Operation: 58-34=24
Exploring Operation: 34-19=15, Resulting Numbers: [58, 15]
Generated Node #0,3,3: 30:[58, 15] Operation: 34-19=15
Moving to Node #0,2,2
Current State: 30:[3, 8], Operations: ['61-34=27', '27-19=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Moving to Node #0,2,3
Current State: 30:[27, 16], Operations: ['61-34=27', '19-3=16']
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[19, 30], Operations: ['61-34=27', '3+27=30']
Exploring Operation: 19*30=570, Resulting Numbers: [570]
570,30 unequal: No Solution
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[19, 9], Operations: ['61-34=27', '27/3=9']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,30 unequal: No Solution
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,30 unequal: No Solution
Moving to Node #0,3,2
Current State: 30:[19, 24], Operations: ['61-3=58', '58-34=24']
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 19*24=456, Resulting Numbers: [456]
456,30 unequal: No Solution
Moving to Node #0,3,0
Current State: 30:[34, 39], Operations: ['61-3=58', '58-19=39']
Exploring Operation: 34+39=73, Resulting Numbers: [73]
73,30 unequal: No Solution
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 34*39=1326, Resulting Numbers: [1326]
1326,30 unequal: No Solution
Moving to Node #0,0,3
Current State: 30:[3, 46], Operations: ['34-19=15', '61-15=46']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,30 unequal: No Solution
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[15, 58], Operations: ['34-19=15', '61-3=58']
Exploring Operation: 15*58=870, Resulting Numbers: [870]
870,30 unequal: No Solution
Exploring Operation: 15+58=73, Resulting Numbers: [73]
73,30 unequal: No Solution
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Moving to Node #0,3,3
Current State: 30:[58, 15], Operations: ['61-3=58', '34-19=15']
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,30 unequal: No Solution
Exploring Operation: 58*15=870, Resulting Numbers: [870]
870,30 unequal: No Solution
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[61, 5], Operations: ['34-19=15', '15/3=5']
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,30 unequal: No Solution
Exploring Operation: 61*5=305, Resulting Numbers: [305]
305,30 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[61, 12], Operations: ['34-19=15', '15-3=12']
Exploring Operation: 61*12=732, Resulting Numbers: [732]
732,30 unequal: No Solution
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Exploring Operation: 61+12=73, Resulting Numbers: [73]
73,30 unequal: No Solution
Moving to Node #0,3,1
Current State: 30:[58, 53], Operations: ['61-3=58', '19+34=53']
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 58+53=111, Resulting Numbers: [111]
111,30 unequal: No Solution
Exploring Operation: 58*53=3074, Resulting Numbers: [3074]
3074,30 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
7,
72,
46,
64
] | 26 | [
"72+46=118",
"64+118=182",
"182/7=26"
] | Current State: 26:[7, 72, 46, 64], Operations: []
Exploring Operation: 72+46=118, Resulting Numbers: [7, 64, 118]
Generated Node #2: [7, 64, 118] from Operation: 72+46=118
Current State: 26:[7, 64, 118], Operations: ['72+46=118']
Exploring Operation: 64+118=182, Resulting Numbers: [7, 182]
Generated Node #3: [7, 182] from Operation: 64+118=182
Current State: 26:[7, 182], Operations: ['72+46=118', '64+118=182']
Exploring Operation: 182/7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[7, 72, 46, 64], Operations: []
Exploring Operation: 72-46=26, Resulting Numbers: [7, 64, 26]
Generated Node #0,0: 26:[7, 64, 26] Operation: 72-46=26
Exploring Operation: 72-7=65, Resulting Numbers: [46, 64, 65]
Generated Node #0,1: 26:[46, 64, 65] Operation: 72-7=65
Exploring Operation: 46-7=39, Resulting Numbers: [72, 64, 39]
Generated Node #0,2: 26:[72, 64, 39] Operation: 46-7=39
Exploring Operation: 72-64=8, Resulting Numbers: [7, 46, 8]
Generated Node #0,3: 26:[7, 46, 8] Operation: 72-64=8
Exploring Operation: 64-46=18, Resulting Numbers: [7, 72, 18]
Generated Node #0,4: 26:[7, 72, 18] Operation: 64-46=18
Moving to Node #0,3
Current State: 26:[7, 46, 8], Operations: ['72-64=8']
Exploring Operation: 7+8=15, Resulting Numbers: [46, 15]
Generated Node #0,3,0: 26:[46, 15] Operation: 7+8=15
Exploring Operation: 8-7=1, Resulting Numbers: [46, 1]
Generated Node #0,3,1: 26:[46, 1] Operation: 8-7=1
Exploring Operation: 46-7=39, Resulting Numbers: [8, 39]
Generated Node #0,3,2: 26:[8, 39] Operation: 46-7=39
Exploring Operation: 7+46=53, Resulting Numbers: [8, 53]
Generated Node #0,3,3: 26:[8, 53] Operation: 7+46=53
Exploring Operation: 46-8=38, Resulting Numbers: [7, 38]
Generated Node #0,3,4: 26:[7, 38] Operation: 46-8=38
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 26:[7, 38], Operations: ['72-64=8', '46-8=38']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,26 unequal: No Solution
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,26 unequal: No Solution
No 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: 26:[8, 39], Operations: ['72-64=8', '46-7=39']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,26 unequal: No Solution
No 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: 26:[46, 1], Operations: ['72-64=8', '8-7=1']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,26 unequal: No Solution
No 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: 26:[46, 15], Operations: ['72-64=8', '7+8=15']
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 46*15=690, Resulting Numbers: [690]
690,26 unequal: No Solution
Exploring Operation: 46+15=61, Resulting Numbers: [61]
61,26 unequal: No Solution
No 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: 26:[8, 53], Operations: ['72-64=8', '7+46=53']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,26 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: 26:[7, 64, 26], Operations: ['72-46=26']
Exploring Operation: 26-7=19, Resulting Numbers: [64, 19]
Generated Node #0,0,0: 26:[64, 19] Operation: 26-7=19
Exploring Operation: 7+26=33, Resulting Numbers: [64, 33]
Generated Node #0,0,1: 26:[64, 33] Operation: 7+26=33
Exploring Operation: 64-26=38, Resulting Numbers: [7, 38]
Generated Node #0,0,2: 26:[7, 38] Operation: 64-26=38
Exploring Operation: 64-7=57, Resulting Numbers: [26, 57]
Generated Node #0,0,3: 26:[26, 57] Operation: 64-7=57
Exploring Operation: 7+64=71, Resulting Numbers: [26, 71]
Generated Node #0,0,4: 26:[26, 71] Operation: 7+64=71
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 26:[7, 38], Operations: ['72-46=26', '64-26=38']
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,26 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,26 unequal: No Solution
No 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: 26:[26, 57], Operations: ['72-46=26', '64-7=57']
Exploring Operation: 26*57=1482, Resulting Numbers: [1482]
1482,26 unequal: No Solution
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 26+57=83, Resulting Numbers: [83]
83,26 unequal: No Solution
No 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: 26:[64, 19], Operations: ['72-46=26', '26-7=19']
Exploring Operation: 64+19=83, Resulting Numbers: [83]
83,26 unequal: No Solution
Exploring Operation: 64*19=1216, Resulting Numbers: [1216]
1216,26 unequal: No Solution
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,26 unequal: No Solution
No 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: 26:[64, 33], Operations: ['72-46=26', '7+26=33']
Exploring Operation: 64*33=2112, Resulting Numbers: [2112]
2112,26 unequal: No Solution
Exploring Operation: 64-33=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 64+33=97, Resulting Numbers: [97]
97,26 unequal: No Solution
No 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: 26:[26, 71], Operations: ['72-46=26', '7+64=71']
Exploring Operation: 26*71=1846, Resulting Numbers: [1846]
1846,26 unequal: No Solution
Exploring Operation: 26+71=97, Resulting Numbers: [97]
97,26 unequal: No Solution
Exploring Operation: 71-26=45, Resulting Numbers: [45]
45,26 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: 26:[7, 72, 18], Operations: ['64-46=18']
Exploring Operation: 18-7=11, Resulting Numbers: [72, 11]
Generated Node #0,4,0: 26:[72, 11] Operation: 18-7=11
Exploring Operation: 72-7=65, Resulting Numbers: [18, 65]
Generated Node #0,4,1: 26:[18, 65] Operation: 72-7=65
Exploring Operation: 72-18=54, Resulting Numbers: [7, 54]
Generated Node #0,4,2: 26:[7, 54] Operation: 72-18=54
Exploring Operation: 7+18=25, Resulting Numbers: [72, 25]
Generated Node #0,4,3: 26:[72, 25] Operation: 7+18=25
Exploring Operation: 72/18=4, Resulting Numbers: [7, 4]
Generated Node #0,4,4: 26:[7, 4] Operation: 72/18=4
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 26:[7, 4], Operations: ['64-46=18', '72/18=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,26 unequal: No Solution
No 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: 26:[7, 54], Operations: ['64-46=18', '72-18=54']
Exploring Operation: 7+54=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Exploring Operation: 7*54=378, Resulting Numbers: [378]
378,26 unequal: No Solution
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,26 unequal: No Solution
No 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: 26:[18, 65], Operations: ['64-46=18', '72-7=65']
Exploring Operation: 18+65=83, Resulting Numbers: [83]
83,26 unequal: No Solution
Exploring Operation: 18*65=1170, Resulting Numbers: [1170]
1170,26 unequal: No Solution
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,26 unequal: No Solution
No 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: 26:[72, 25], Operations: ['64-46=18', '7+18=25']
Exploring Operation: 72+25=97, Resulting Numbers: [97]
97,26 unequal: No Solution
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 72*25=1800, Resulting Numbers: [1800]
1800,26 unequal: No Solution
No 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: 26:[72, 11], Operations: ['64-46=18', '18-7=11']
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Exploring Operation: 72*11=792, Resulting Numbers: [792]
792,26 unequal: No Solution
Exploring Operation: 72+11=83, Resulting Numbers: [83]
83,26 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: 26:[46, 64, 65], Operations: ['72-7=65']
Exploring Operation: 65-64=1, Resulting Numbers: [46, 1]
Generated Node #0,1,0: 26:[46, 1] Operation: 65-64=1
Exploring Operation: 46+64=110, Resulting Numbers: [65, 110]
Generated Node #0,1,1: 26:[65, 110] Operation: 46+64=110
Exploring Operation: 65-46=19, Resulting Numbers: [64, 19]
Generated Node #0,1,2: 26:[64, 19] Operation: 65-46=19
Exploring Operation: 64-46=18, Resulting Numbers: [65, 18]
Generated Node #0,1,3: 26:[65, 18] Operation: 64-46=18
Exploring Operation: 46+65=111, Resulting Numbers: [64, 111]
Generated Node #0,1,4: 26:[64, 111] Operation: 46+65=111
Moving to Node #0,2
Current State: 26:[72, 64, 39], Operations: ['46-7=39']
Exploring Operation: 72-64=8, Resulting Numbers: [39, 8]
Generated Node #0,2,0: 26:[39, 8] Operation: 72-64=8
Exploring Operation: 64-39=25, Resulting Numbers: [72, 25]
Generated Node #0,2,1: 26:[72, 25] Operation: 64-39=25
Exploring Operation: 72+39=111, Resulting Numbers: [64, 111]
Generated Node #0,2,2: 26:[64, 111] Operation: 72+39=111
Exploring Operation: 72+64=136, Resulting Numbers: [39, 136]
Generated Node #0,2,3: 26:[39, 136] Operation: 72+64=136
Exploring Operation: 72-39=33, Resulting Numbers: [64, 33]
Generated Node #0,2,4: 26:[64, 33] Operation: 72-39=33
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 26:[39, 8], Operations: ['46-7=39', '72-64=8']
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 39*8=312, Resulting Numbers: [312]
312,26 unequal: No Solution
No 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: 26:[64, 33], Operations: ['46-7=39', '72-39=33']
Exploring Operation: 64-33=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 64+33=97, Resulting Numbers: [97]
97,26 unequal: No Solution
Exploring Operation: 64*33=2112, Resulting Numbers: [2112]
2112,26 unequal: No Solution
No 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: 26:[72, 25], Operations: ['46-7=39', '64-39=25']
Exploring Operation: 72+25=97, Resulting Numbers: [97]
97,26 unequal: No Solution
Exploring Operation: 72*25=1800, Resulting Numbers: [1800]
1800,26 unequal: No Solution
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,26 unequal: No Solution
No 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: 26:[64, 111], Operations: ['46-7=39', '72+39=111']
Exploring Operation: 64*111=7104, Resulting Numbers: [7104]
7104,26 unequal: No Solution
Exploring Operation: 64+111=175, Resulting Numbers: [175]
175,26 unequal: No Solution
Exploring Operation: 111-64=47, Resulting Numbers: [47]
47,26 unequal: No Solution
No 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: 26:[39, 136], Operations: ['46-7=39', '72+64=136']
Exploring Operation: 39*136=5304, Resulting Numbers: [5304]
5304,26 unequal: No Solution
Exploring Operation: 136-39=97, Resulting Numbers: [97]
97,26 unequal: No Solution
Exploring Operation: 39+136=175, Resulting Numbers: [175]
175,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 26:[46, 1], Operations: ['72-7=65', '65-64=1']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Moving to Node #0,1,3
Current State: 26:[65, 18], Operations: ['72-7=65', '64-46=18']
Exploring Operation: 65*18=1170, Resulting Numbers: [1170]
1170,26 unequal: No Solution
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,26 unequal: No Solution
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Moving to Node #0,1,2
Current State: 26:[64, 19], Operations: ['72-7=65', '65-46=19']
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 64+19=83, Resulting Numbers: [83]
83,26 unequal: No Solution
Exploring Operation: 64*19=1216, Resulting Numbers: [1216]
1216,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[65, 110], Operations: ['72-7=65', '46+64=110']
Exploring Operation: 110-65=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 65+110=175, Resulting Numbers: [175]
175,26 unequal: No Solution
Exploring Operation: 65*110=7150, Resulting Numbers: [7150]
7150,26 unequal: No Solution
Moving to Node #0,1,4
Current State: 26:[64, 111], Operations: ['72-7=65', '46+65=111']
Exploring Operation: 111-64=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 64+111=175, Resulting Numbers: [175]
175,26 unequal: No Solution
Exploring Operation: 64*111=7104, Resulting Numbers: [7104]
7104,26 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
43,
1,
96,
96
] | 42 | [
"43*1=43",
"96/96=1",
"43-1=42"
] | Current State: 42:[43, 1, 96, 96], Operations: []
Exploring Operation: 43*1=43, Resulting Numbers: [96, 96, 43]
Generated Node #2: [96, 96, 43] from Operation: 43*1=43
Current State: 42:[96, 96, 43], Operations: ['43*1=43']
Exploring Operation: 96/96=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 96/96=1
Current State: 42:[43, 1], Operations: ['43*1=43', '96/96=1']
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[43, 1, 96, 96], Operations: []
Exploring Operation: 96/96=1, Resulting Numbers: [43, 1, 1]
Generated Node #0,0: 42:[43, 1, 1] Operation: 96/96=1
Moving to Node #0,0
Current State: 42:[43, 1, 1], Operations: ['96/96=1']
Exploring Operation: 43-1=42, Resulting Numbers: [1, 42]
Generated Node #0,0,0: 42:[1, 42] Operation: 43-1=42
Moving to Node #0,0,0
Current State: 42:[1, 42], Operations: ['96/96=1', '43-1=42']
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[43, 1, 96, 96], Operations: []
Exploring Operation: 96/96=1, Resulting Numbers: [43, 1, 1]
Generated Node #0,0: 42:[43, 1, 1] Operation: 96/96=1
Moving to Node #0,0
Current State: 42:[43, 1, 1], Operations: ['96/96=1']
Exploring Operation: 43-1=42, Resulting Numbers: [1, 42]
Generated Node #0,0,0: 42:[1, 42] Operation: 43-1=42
Moving to Node #0,0,0
Current State: 42:[1, 42], Operations: ['96/96=1', '43-1=42']
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
26,
19,
42,
84
] | 63 | [
"19*84=1596",
"42+1596=1638",
"1638/26=63"
] | Current State: 63:[26, 19, 42, 84], Operations: []
Exploring Operation: 19*84=1596, Resulting Numbers: [26, 42, 1596]
Generated Node #2: [26, 42, 1596] from Operation: 19*84=1596
Current State: 63:[26, 42, 1596], Operations: ['19*84=1596']
Exploring Operation: 42+1596=1638, Resulting Numbers: [26, 1638]
Generated Node #3: [26, 1638] from Operation: 42+1596=1638
Current State: 63:[26, 1638], Operations: ['19*84=1596', '42+1596=1638']
Exploring Operation: 1638/26=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[26, 19, 42, 84], Operations: []
Exploring Operation: 42-26=16, Resulting Numbers: [19, 84, 16]
Generated Node #0,0: 63:[19, 84, 16] Operation: 42-26=16
Exploring Operation: 84-26=58, Resulting Numbers: [19, 42, 58]
Generated Node #0,1: 63:[19, 42, 58] Operation: 84-26=58
Exploring Operation: 26+42=68, Resulting Numbers: [19, 84, 68]
Generated Node #0,2: 63:[19, 84, 68] Operation: 26+42=68
Exploring Operation: 19+42=61, Resulting Numbers: [26, 84, 61]
Generated Node #0,3: 63:[26, 84, 61] Operation: 19+42=61
Exploring Operation: 84/42=2, Resulting Numbers: [26, 19, 2]
Generated Node #0,4: 63:[26, 19, 2] Operation: 84/42=2
Moving to Node #0,4
Current State: 63:[26, 19, 2], Operations: ['84/42=2']
Exploring Operation: 19+2=21, Resulting Numbers: [26, 21]
Generated Node #0,4,0: 63:[26, 21] Operation: 19+2=21
Exploring Operation: 26+2=28, Resulting Numbers: [19, 28]
Generated Node #0,4,1: 63:[19, 28] Operation: 26+2=28
Exploring Operation: 26-2=24, Resulting Numbers: [19, 24]
Generated Node #0,4,2: 63:[19, 24] Operation: 26-2=24
Exploring Operation: 26/2=13, Resulting Numbers: [19, 13]
Generated Node #0,4,3: 63:[19, 13] Operation: 26/2=13
Exploring Operation: 26-19=7, Resulting Numbers: [2, 7]
Generated Node #0,4,4: 63:[2, 7] Operation: 26-19=7
Moving to Node #0,1
Current State: 63:[19, 42, 58], Operations: ['84-26=58']
Exploring Operation: 58-19=39, Resulting Numbers: [42, 39]
Generated Node #0,1,0: 63:[42, 39] Operation: 58-19=39
Exploring Operation: 58-42=16, Resulting Numbers: [19, 16]
Generated Node #0,1,1: 63:[19, 16] Operation: 58-42=16
Exploring Operation: 42-19=23, Resulting Numbers: [58, 23]
Generated Node #0,1,2: 63:[58, 23] Operation: 42-19=23
Exploring Operation: 19+58=77, Resulting Numbers: [42, 77]
Generated Node #0,1,3: 63:[42, 77] Operation: 19+58=77
Exploring Operation: 19+42=61, Resulting Numbers: [58, 61]
Generated Node #0,1,4: 63:[58, 61] Operation: 19+42=61
Moving to Node #0,3
Current State: 63:[26, 84, 61], Operations: ['19+42=61']
Exploring Operation: 26+61=87, Resulting Numbers: [84, 87]
Generated Node #0,3,0: 63:[84, 87] Operation: 26+61=87
Exploring Operation: 61-26=35, Resulting Numbers: [84, 35]
Generated Node #0,3,1: 63:[84, 35] Operation: 61-26=35
Exploring Operation: 84-61=23, Resulting Numbers: [26, 23]
Generated Node #0,3,2: 63:[26, 23] Operation: 84-61=23
Exploring Operation: 26+84=110, Resulting Numbers: [61, 110]
Generated Node #0,3,3: 63:[61, 110] Operation: 26+84=110
Exploring Operation: 84-26=58, Resulting Numbers: [61, 58]
Generated Node #0,3,4: 63:[61, 58] Operation: 84-26=58
Moving to Node #0,0
Current State: 63:[19, 84, 16], Operations: ['42-26=16']
Exploring Operation: 84+16=100, Resulting Numbers: [19, 100]
Generated Node #0,0,0: 63:[19, 100] Operation: 84+16=100
Exploring Operation: 19-16=3, Resulting Numbers: [84, 3]
Generated Node #0,0,1: 63:[84, 3] Operation: 19-16=3
Exploring Operation: 84-16=68, Resulting Numbers: [19, 68]
Generated Node #0,0,2: 63:[19, 68] Operation: 84-16=68
Exploring Operation: 84-19=65, Resulting Numbers: [16, 65]
Generated Node #0,0,3: 63:[16, 65] Operation: 84-19=65
Exploring Operation: 19+16=35, Resulting Numbers: [84, 35]
Generated Node #0,0,4: 63:[84, 35] Operation: 19+16=35
Moving to Node #0,2
Current State: 63:[19, 84, 68], Operations: ['26+42=68']
Exploring Operation: 19+68=87, Resulting Numbers: [84, 87]
Generated Node #0,2,0: 63:[84, 87] Operation: 19+68=87
Exploring Operation: 84-19=65, Resulting Numbers: [68, 65]
Generated Node #0,2,1: 63:[68, 65] Operation: 84-19=65
Exploring Operation: 68-19=49, Resulting Numbers: [84, 49]
Generated Node #0,2,2: 63:[84, 49] Operation: 68-19=49
Exploring Operation: 84-68=16, Resulting Numbers: [19, 16]
Generated Node #0,2,3: 63:[19, 16] Operation: 84-68=16
Exploring Operation: 19+84=103, Resulting Numbers: [68, 103]
Generated Node #0,2,4: 63:[68, 103] Operation: 19+84=103
Moving to Node #0,4,4
Current State: 63:[2, 7], Operations: ['84/42=2', '26-19=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,63 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,63 unequal: No Solution
Moving to Node #0,4,2
Current State: 63:[19, 24], Operations: ['84/42=2', '26-2=24']
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 19*24=456, Resulting Numbers: [456]
456,63 unequal: No Solution
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,63 unequal: No Solution
Moving to Node #0,4,0
Current State: 63:[26, 21], Operations: ['84/42=2', '19+2=21']
Exploring Operation: 26*21=546, Resulting Numbers: [546]
546,63 unequal: No Solution
Exploring Operation: 26+21=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Moving to Node #0,4,3
Current State: 63:[19, 13], Operations: ['84/42=2', '26/2=13']
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,63 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,63 unequal: No Solution
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,63 unequal: No Solution
Moving to Node #0,1,2
Current State: 63:[58, 23], Operations: ['84-26=58', '42-19=23']
Exploring Operation: 58+23=81, Resulting Numbers: [81]
81,63 unequal: No Solution
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 58*23=1334, Resulting Numbers: [1334]
1334,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[19, 16], Operations: ['84-26=58', '58-42=16']
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,63 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Moving to Node #0,3,4
Current State: 63:[61, 58], Operations: ['19+42=61', '84-26=58']
Exploring Operation: 61*58=3538, Resulting Numbers: [3538]
3538,63 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 61+58=119, Resulting Numbers: [119]
119,63 unequal: No Solution
Moving to Node #0,3,2
Current State: 63:[26, 23], Operations: ['19+42=61', '84-61=23']
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,63 unequal: No Solution
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,63 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Moving to Node #0,2,3
Current State: 63:[19, 16], Operations: ['26+42=68', '84-68=16']
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,63 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Moving to Node #0,2,1
Current State: 63:[68, 65], Operations: ['26+42=68', '84-19=65']
Exploring Operation: 68-65=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 68+65=133, Resulting Numbers: [133]
133,63 unequal: No Solution
Exploring Operation: 68*65=4420, Resulting Numbers: [4420]
4420,63 unequal: No Solution
Moving to Node #0,1,4
Current State: 63:[58, 61], Operations: ['84-26=58', '19+42=61']
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 58*61=3538, Resulting Numbers: [3538]
3538,63 unequal: No Solution
Exploring Operation: 58+61=119, Resulting Numbers: [119]
119,63 unequal: No Solution
Moving to Node #0,0,3
Current State: 63:[16, 65], Operations: ['42-26=16', '84-19=65']
Exploring Operation: 16*65=1040, Resulting Numbers: [1040]
1040,63 unequal: No Solution
Exploring Operation: 16+65=81, Resulting Numbers: [81]
81,63 unequal: No Solution
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,63 unequal: No Solution
Moving to Node #0,0,2
Current State: 63:[19, 68], Operations: ['42-26=16', '84-16=68']
Exploring Operation: 19+68=87, Resulting Numbers: [87]
87,63 unequal: No Solution
Exploring Operation: 19*68=1292, Resulting Numbers: [1292]
1292,63 unequal: No Solution
Exploring Operation: 68-19=49, Resulting Numbers: [49]
49,63 unequal: No Solution
Moving to Node #0,4,1
Current State: 63:[19, 28], Operations: ['84/42=2', '26+2=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,63 unequal: No Solution
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[84, 3], Operations: ['42-26=16', '19-16=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,63 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,63 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,63 unequal: No Solution
Exploring Operation: 84*3=252, Resulting Numbers: [252]
252,63 unequal: No Solution
Moving to Node #0,3,1
Current State: 63:[84, 35], Operations: ['19+42=61', '61-26=35']
Exploring Operation: 84+35=119, Resulting Numbers: [119]
119,63 unequal: No Solution
Exploring Operation: 84-35=49, Resulting Numbers: [49]
49,63 unequal: No Solution
Exploring Operation: 84*35=2940, Resulting Numbers: [2940]
2940,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[84, 49], Operations: ['26+42=68', '68-19=49']
Exploring Operation: 84*49=4116, Resulting Numbers: [4116]
4116,63 unequal: No Solution
Exploring Operation: 84+49=133, Resulting Numbers: [133]
133,63 unequal: No Solution
Exploring Operation: 84-49=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Moving to Node #0,1,3
Current State: 63:[42, 77], Operations: ['84-26=58', '19+58=77']
Exploring Operation: 77-42=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 42+77=119, Resulting Numbers: [119]
119,63 unequal: No Solution
Exploring Operation: 42*77=3234, Resulting Numbers: [3234]
3234,63 unequal: No Solution
Moving to Node #0,0,4
Current State: 63:[84, 35], Operations: ['42-26=16', '19+16=35']
Exploring Operation: 84*35=2940, Resulting Numbers: [2940]
2940,63 unequal: No Solution
Exploring Operation: 84+35=119, Resulting Numbers: [119]
119,63 unequal: No Solution
Exploring Operation: 84-35=49, Resulting Numbers: [49]
49,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[19, 100], Operations: ['42-26=16', '84+16=100']
Exploring Operation: 19+100=119, Resulting Numbers: [119]
119,63 unequal: No Solution
Exploring Operation: 19*100=1900, Resulting Numbers: [1900]
1900,63 unequal: No Solution
Exploring Operation: 100-19=81, Resulting Numbers: [81]
81,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[42, 39], Operations: ['84-26=58', '58-19=39']
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 42+39=81, Resulting Numbers: [81]
81,63 unequal: No Solution
Exploring Operation: 42*39=1638, Resulting Numbers: [1638]
1638,63 unequal: No Solution
Moving to Node #0,2,4
Current State: 63:[68, 103], Operations: ['26+42=68', '19+84=103']
Exploring Operation: 68+103=171, Resulting Numbers: [171]
171,63 unequal: No Solution
Exploring Operation: 103-68=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 68*103=7004, Resulting Numbers: [7004]
7004,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[84, 87], Operations: ['26+42=68', '19+68=87']
Exploring Operation: 84+87=171, Resulting Numbers: [171]
171,63 unequal: No Solution
Exploring Operation: 87-84=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 84*87=7308, Resulting Numbers: [7308]
7308,63 unequal: No Solution
Moving to Node #0,3,0
Current State: 63:[84, 87], Operations: ['19+42=61', '26+61=87']
Exploring Operation: 87-84=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 84+87=171, Resulting Numbers: [171]
171,63 unequal: No Solution
Exploring Operation: 84*87=7308, Resulting Numbers: [7308]
7308,63 unequal: No Solution
Moving to Node #0,3,3
Current State: 63:[61, 110], Operations: ['19+42=61', '26+84=110']
Exploring Operation: 61+110=171, Resulting Numbers: [171]
171,63 unequal: No Solution
Exploring Operation: 110-61=49, Resulting Numbers: [49]
49,63 unequal: No Solution
Exploring Operation: 61*110=6710, Resulting Numbers: [6710]
6710,63 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
33,
16,
18,
30
] | 29 | [
"33-16=17",
"30-18=12",
"17+12=29"
] | Current State: 29:[33, 16, 18, 30], Operations: []
Exploring Operation: 33-16=17, Resulting Numbers: [18, 30, 17]
Generated Node #2: [18, 30, 17] from Operation: 33-16=17
Current State: 29:[18, 30, 17], Operations: ['33-16=17']
Exploring Operation: 30-18=12, Resulting Numbers: [17, 12]
Generated Node #3: [17, 12] from Operation: 30-18=12
Current State: 29:[17, 12], Operations: ['33-16=17', '30-18=12']
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[33, 16, 18, 30], Operations: []
Exploring Operation: 16+18=34, Resulting Numbers: [33, 30, 34]
Generated Node #0,0: 29:[33, 30, 34] Operation: 16+18=34
Exploring Operation: 33-16=17, Resulting Numbers: [18, 30, 17]
Generated Node #0,1: 29:[18, 30, 17] Operation: 33-16=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[33, 30, 34], Operations: ['16+18=34']
Exploring Operation: 34-33=1, Resulting Numbers: [30, 1]
Generated Node #0,0,0: 29:[30, 1] Operation: 34-33=1
Exploring Operation: 34-30=4, Resulting Numbers: [33, 4]
Generated Node #0,0,1: 29:[33, 4] Operation: 34-30=4
Moving to Node #0,0,0
Current State: 29:[30, 1], Operations: ['16+18=34', '34-33=1']
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[33, 16, 18, 30], Operations: []
Exploring Operation: 16+18=34, Resulting Numbers: [33, 30, 34]
Generated Node #0,0: 29:[33, 30, 34] Operation: 16+18=34
Moving to Node #0,0
Current State: 29:[33, 30, 34], Operations: ['16+18=34']
Exploring Operation: 34-33=1, Resulting Numbers: [30, 1]
Generated Node #0,0,0: 29:[30, 1] Operation: 34-33=1
Moving to Node #0,0,0
Current State: 29:[30, 1], Operations: ['16+18=34', '34-33=1']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
54,
27,
47,
34
] | 79 | [
"54/27=2",
"47+34=81",
"81-2=79"
] | Current State: 79:[54, 27, 47, 34], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [47, 34, 2]
Generated Node #2: [47, 34, 2] from Operation: 54/27=2
Current State: 79:[47, 34, 2], Operations: ['54/27=2']
Exploring Operation: 47+34=81, Resulting Numbers: [2, 81]
Generated Node #3: [2, 81] from Operation: 47+34=81
Current State: 79:[2, 81], Operations: ['54/27=2', '47+34=81']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[54, 27, 47, 34], Operations: []
Exploring Operation: 27+34=61, Resulting Numbers: [54, 47, 61]
Generated Node #0,0: 79:[54, 47, 61] Operation: 27+34=61
Exploring Operation: 27+47=74, Resulting Numbers: [54, 34, 74]
Generated Node #0,1: 79:[54, 34, 74] Operation: 27+47=74
Moving to Node #0,0
Current State: 79:[54, 47, 61], Operations: ['27+34=61']
Exploring Operation: 47+61=108, Resulting Numbers: [54, 108]
Generated Node #0,0,0: 79:[54, 108] Operation: 47+61=108
Exploring Operation: 54+47=101, Resulting Numbers: [61, 101]
Generated Node #0,0,1: 79:[61, 101] Operation: 54+47=101
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[61, 101], Operations: ['27+34=61', '54+47=101']
Exploring Operation: 101-61=40, Resulting Numbers: [40]
40,79 unequal: No Solution
Exploring Operation: 61+101=162, Resulting Numbers: [162]
162,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[54, 108], Operations: ['27+34=61', '47+61=108']
Exploring Operation: 108/54=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Exploring Operation: 108-54=54, Resulting Numbers: [54]
54,79 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: 79:[54, 34, 74], Operations: ['27+47=74']
Exploring Operation: 34+74=108, Resulting Numbers: [54, 108]
Generated Node #0,1,0: 79:[54, 108] Operation: 34+74=108
Exploring Operation: 54+34=88, Resulting Numbers: [74, 88]
Generated Node #0,1,1: 79:[74, 88] Operation: 54+34=88
Moving to Node #0,1,1
Current State: 79:[74, 88], Operations: ['27+47=74', '54+34=88']
Exploring Operation: 74+88=162, Resulting Numbers: [162]
162,79 unequal: No Solution
Exploring Operation: 88-74=14, Resulting Numbers: [14]
14,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[54, 108], Operations: ['27+47=74', '34+74=108']
Exploring Operation: 108/54=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Exploring Operation: 108-54=54, Resulting Numbers: [54]
54,79 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
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